From 4184d53bcedd1b09aebdc5f1525546366b39a565 Mon Sep 17 00:00:00 2001
From: Claude Marche <Claude.Marche@inria.fr>
Date: Wed, 22 Jul 2015 12:00:20 +0200
Subject: [PATCH] Prover example: some other proofs were missing....
---
.../in_progress/prover/Choice/why3session.xml | 21 +-
.../in_progress/prover/Choice/why3shapes.gz | Bin 0 -> 20 bytes
.../why3session.xml | 1272 +----
.../why3shapes.gz | Bin 0 -> 5417 bytes
.../Firstorder_formula_spec/why3session.xml | 854 ++-
.../Firstorder_formula_spec/why3shapes.gz | Bin 0 -> 27371 bytes
.../prover/Firstorder_semantics.mlw | 723 ++-
.../Firstorder_semantics/why3session.xml | 5063 ++---------------
.../prover/Firstorder_semantics/why3shapes.gz | Bin 0 -> 11628 bytes
.../Firstorder_symbol_spec/why3session.xml | 124 +-
.../Firstorder_symbol_spec/why3shapes.gz | Bin 0 -> 1832 bytes
.../Firstorder_tableau_spec/why3session.xml | 1344 +----
.../Firstorder_tableau_spec/why3shapes.gz | Bin 0 -> 5257 bytes
.../Firstorder_term_spec/why3session.xml | 3666 ++----------
.../prover/Firstorder_term_spec/why3shapes.gz | Bin 0 -> 11860 bytes
.../prover/Functions/why3session.xml | 166 +-
.../prover/Functions/why3shapes.gz | Bin 0 -> 347 bytes
examples/in_progress/prover/Makefile | 2 +-
.../prover/OptionFuncs/why3session.xml | 291 +-
.../prover/OptionFuncs/why3shapes.gz | Bin 0 -> 557 bytes
.../prover/Predicates/why3session.xml | 116 +-
.../prover/Predicates/why3shapes.gz | Bin 0 -> 267 bytes
.../in_progress/prover/Sum/why3session.xml | 21 +-
examples/in_progress/prover/Sum/why3shapes.gz | Bin 0 -> 20 bytes
24 files changed, 2317 insertions(+), 11346 deletions(-)
create mode 100644 examples/in_progress/prover/Choice/why3shapes.gz
create mode 100644 examples/in_progress/prover/Firstorder_formula_list_spec/why3shapes.gz
create mode 100644 examples/in_progress/prover/Firstorder_formula_spec/why3shapes.gz
create mode 100644 examples/in_progress/prover/Firstorder_semantics/why3shapes.gz
create mode 100644 examples/in_progress/prover/Firstorder_symbol_spec/why3shapes.gz
create mode 100644 examples/in_progress/prover/Firstorder_tableau_spec/why3shapes.gz
create mode 100644 examples/in_progress/prover/Firstorder_term_spec/why3shapes.gz
create mode 100644 examples/in_progress/prover/Functions/why3shapes.gz
create mode 100644 examples/in_progress/prover/OptionFuncs/why3shapes.gz
create mode 100644 examples/in_progress/prover/Predicates/why3shapes.gz
create mode 100644 examples/in_progress/prover/Sum/why3shapes.gz
diff --git a/examples/in_progress/prover/Choice/why3session.xml b/examples/in_progress/prover/Choice/why3session.xml
index 9980027b05..523181155a 100644
--- a/examples/in_progress/prover/Choice/why3session.xml
+++ b/examples/in_progress/prover/Choice/why3session.xml
@@ -1,16 +1,9 @@
<?xml version="1.0" encoding="UTF-8"?>
-<!DOCTYPE why3session PUBLIC "-//Why3//proof session v2//EN" "http://why3.lri.fr/why3session.dtd">
-<why3session shape_version="3">
- <file
- name="../Choice.mlw"
- verified="true"
- expanded="true">
- <theory
- name="Choice"
- locfile="../Choice.mlw"
- loclnum="2" loccnumb="7" loccnume="13"
- verified="true"
- expanded="true">
- </theory>
- </file>
+<!DOCTYPE why3session PUBLIC "-//Why3//proof session v5//EN"
+"http://why3.lri.fr/why3session.dtd">
+<why3session shape_version="4">
+<file name="../Choice.mlw" expanded="true">
+<theory name="Choice" sum="d41d8cd98f00b204e9800998ecf8427e">
+</theory>
+</file>
</why3session>
diff --git a/examples/in_progress/prover/Choice/why3shapes.gz b/examples/in_progress/prover/Choice/why3shapes.gz
new file mode 100644
index 0000000000000000000000000000000000000000..0239669d57f6148035ad2dc4a6d54ae7db678e85
GIT binary patch
literal 20
Scmb2|=3oGW|IA<tL;wI7bOE&h
literal 0
HcmV?d00001
diff --git a/examples/in_progress/prover/Firstorder_formula_list_spec/why3session.xml b/examples/in_progress/prover/Firstorder_formula_list_spec/why3session.xml
index f2df608e32..898f09b126 100644
--- a/examples/in_progress/prover/Firstorder_formula_list_spec/why3session.xml
+++ b/examples/in_progress/prover/Firstorder_formula_list_spec/why3session.xml
@@ -1,1114 +1,162 @@
<?xml version="1.0" encoding="UTF-8"?>
-<!DOCTYPE why3session PUBLIC "-//Why3//proof session v2//EN" "http://why3.lri.fr/why3session.dtd">
-<why3session shape_version="2">
- <prover
- id="0"
- name="Alt-Ergo"
- version="0.95.1"/>
- <prover
- id="1"
- name="CVC4"
- version="1.0"/>
- <file
- name="../Firstorder_formula_list_spec.mlw"
- verified="true"
- expanded="false">
- <theory
- name="Spec"
- locfile="../Firstorder_formula_list_spec.mlw"
- loclnum="1" loccnumb="7" loccnume="11"
- verified="true"
- expanded="false">
- <goal
- name="WP_parameter size_positive_lemma_fo_formula_list"
- locfile="../Firstorder_formula_list_spec.mlw"
- loclnum="30" loccnumb="16" loccnume="51"
- expl="VC for size_positive_lemma_fo_formula_list"
- sum="9721ad7cb1f0ea817a79dde8e28646f3"
- proved="true"
- expanded="false"
- shape="Cainfix >asize_fo_formula_listV0c0aFOFNilainfix >asize_fo_formula_listV0c0Iainfix >asize_fo_formula_listV2c0Aainfix <anat_to_intanat_size_fo_formula_listV2anat_to_intanat_size_fo_formula_listV0Aainfix <=c0anat_to_intanat_size_fo_formula_listV0Iainfix >asize_fo_formulaV1c0aFOFConsVVV0F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for size_positive_lemma_fo_formula_list"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.10"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter renaming_composition_lemma_fo_formula_list"
- locfile="../Firstorder_formula_list_spec.mlw"
- loclnum="47" loccnumb="16" loccnume="58"
- expl="VC for renaming_composition_lemma_fo_formula_list"
- sum="e940a0137049beab2a949dbaf14e83ee"
- proved="true"
- expanded="false"
- shape="Cainfix =arename_fo_formula_listarename_fo_formula_listV0V1V2V3V4arename_fo_formula_listV0arcomposeV1V3arcomposeV2V4aFOFNilainfix =arename_fo_formula_listarename_fo_formula_listV0V1V2V3V4arename_fo_formula_listV0arcomposeV1V3arcomposeV2V4Iainfix =arename_fo_formula_listarename_fo_formula_listV6V1V2V3V4arename_fo_formula_listV6arcomposeV1V3arcomposeV2V4Aainfix <asize_fo_formula_listV6asize_fo_formula_listV0Aainfix <=c0asize_fo_formula_listV0Iainfix =arename_fo_formulaarename_fo_formulaV5V1V2V3V4arename_fo_formulaV5arcomposeV1V3arcomposeV2V4aFOFConsVVV0F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for renaming_composition_lemma_fo_formula_list"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.07"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter renaming_identity_lemma_fo_formula_list"
- locfile="../Firstorder_formula_list_spec.mlw"
- loclnum="60" loccnumb="16" loccnume="55"
- expl="VC for renaming_identity_lemma_fo_formula_list"
- sum="8e375e11228cd65b359acc09281ba022"
- proved="true"
- expanded="false"
- shape="Cainfix =arename_fo_formula_listV0aidentityaidentityV0aFOFNilainfix =arename_fo_formula_listV0aidentityaidentityV0Iainfix =arename_fo_formula_listV2aidentityaidentityV2Aainfix <asize_fo_formula_listV2asize_fo_formula_listV0Aainfix <=c0asize_fo_formula_listV0Iainfix =arename_fo_formulaV1aidentityaidentityV1aFOFConsVVV0F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for renaming_identity_lemma_fo_formula_list"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.07"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter rename_then_subst_composition_lemma_fo_formula_list"
- locfile="../Firstorder_formula_list_spec.mlw"
- loclnum="82" loccnumb="16" loccnume="67"
- expl="VC for rename_then_subst_composition_lemma_fo_formula_list"
- sum="68274d013e615605299d411b62a12248"
- proved="true"
- expanded="false"
- shape="Cainfix =asubst_fo_formula_listarename_fo_formula_listV0V1V2V3V4asubst_fo_formula_listV0arcomposeV1V3arcomposeV2V4aFOFNilainfix =asubst_fo_formula_listarename_fo_formula_listV0V1V2V3V4asubst_fo_formula_listV0arcomposeV1V3arcomposeV2V4Iainfix =asubst_fo_formula_listarename_fo_formula_listV6V1V2V10V9asubst_fo_formula_listV6arcomposeV1V10arcomposeV2V9Aainfix <asize_fo_formula_listV6asize_fo_formula_listV0Aainfix <=c0asize_fo_formula_listV0Larename_subst_symbolV3aidentityLarename_subst_fo_termV4aidentityaidentityIainfix =asubst_fo_formulaarename_fo_formulaV5V1V2V8V7asubst_fo_formulaV5arcomposeV1V8arcomposeV2V7Larename_subst_symbolV3aidentityLarename_subst_fo_termV4aidentityaidentityaFOFConsVVV0F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for rename_then_subst_composition_lemma_fo_formula_list"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.22"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_then_rename_composition_lemma_fo_formula_list"
- locfile="../Firstorder_formula_list_spec.mlw"
- loclnum="99" loccnumb="16" loccnume="67"
- expl="VC for subst_then_rename_composition_lemma_fo_formula_list"
- sum="65a3728db1c221d25a2b6c7d66d21d57"
- proved="true"
- expanded="false"
- shape="Cainfix =arename_fo_formula_listasubst_fo_formula_listV0V1V2V3V4asubst_fo_formula_listV0arename_subst_symbolV1V3arename_subst_fo_termV2V3V4aFOFNilainfix =arename_fo_formula_listasubst_fo_formula_listV0V1V2V3V4asubst_fo_formula_listV0arename_subst_symbolV1V3arename_subst_fo_termV2V3V4Iainfix =arename_fo_formula_listasubst_fo_formula_listV6V10V9V3V4asubst_fo_formula_listV6arename_subst_symbolV10V3arename_subst_fo_termV9V3V4Aainfix <asize_fo_formula_listV6asize_fo_formula_listV0Aainfix <=c0asize_fo_formula_listV0Larename_subst_symbolV1aidentityLarename_subst_fo_termV2aidentityaidentityIainfix =arename_fo_formulaasubst_fo_formulaV5V8V7V3V4asubst_fo_formulaV5arename_subst_symbolV8V3arename_subst_fo_termV7V3V4Larename_subst_symbolV1aidentityLarename_subst_fo_termV2aidentityaidentityaFOFConsVVV0F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_then_rename_composition_lemma_fo_formula_list"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.44"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_composition_lemma_fo_formula_list"
- locfile="../Firstorder_formula_list_spec.mlw"
- loclnum="119" loccnumb="16" loccnume="55"
- expl="VC for subst_composition_lemma_fo_formula_list"
- sum="fa3d8e488485103b0ad8df97eccebfac"
- proved="true"
- expanded="false"
- shape="Cainfix =asubst_fo_formula_listasubst_fo_formula_listV0V1V2V3V4asubst_fo_formula_listV0asubst_compose_symbolV1V3asubst_compose_fo_termV2V3V4aFOFNilainfix =asubst_fo_formula_listasubst_fo_formula_listV0V1V2V3V4asubst_fo_formula_listV0asubst_compose_symbolV1V3asubst_compose_fo_termV2V3V4Iainfix =asubst_fo_formula_listasubst_fo_formula_listV6V14V13V12V11asubst_fo_formula_listV6asubst_compose_symbolV14V12asubst_compose_fo_termV13V12V11Aainfix <asize_fo_formula_listV6asize_fo_formula_listV0Aainfix <=c0asize_fo_formula_listV0Larename_subst_symbolV1aidentityLarename_subst_fo_termV2aidentityaidentityLarename_subst_symbolV3aidentityLarename_subst_fo_termV4aidentityaidentityIainfix =asubst_fo_formulaasubst_fo_formulaV5V10V9V8V7asubst_fo_formulaV5asubst_compose_symbolV10V8asubst_compose_fo_termV9V8V7Larename_subst_symbolV1aidentityLarename_subst_fo_termV2aidentityaidentityLarename_subst_symbolV3aidentityLarename_subst_fo_termV4aidentityaidentityaFOFConsVVV0F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_composition_lemma_fo_formula_list"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="true"
- archived="false">
- <result status="timeout" time="0.99"/>
- </proof>
- <transf
- name="split_goal_wp"
- proved="true"
- expanded="false">
- <goal
- name="WP_parameter subst_composition_lemma_fo_formula_list.1"
- locfile="../Firstorder_formula_list_spec.mlw"
- loclnum="119" loccnumb="16" loccnume="55"
- expl="1. postcondition"
- sum="cf5dc86880263b8eb1c5b3b95f018254"
- proved="true"
- expanded="false"
- shape="postconditionCainfix =asubst_fo_formula_listasubst_fo_formula_listV0V1V2V3V4asubst_fo_formula_listV0asubst_compose_symbolV1V3asubst_compose_fo_termV2V3V4aFOFNiltaFOFConsVVV0F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_composition_lemma_fo_formula_list"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.06"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_composition_lemma_fo_formula_list.2"
- locfile="../Firstorder_formula_list_spec.mlw"
- loclnum="119" loccnumb="16" loccnume="55"
- expl="2. variant decrease"
- sum="942c6e78693761eb89aada507282798c"
- proved="true"
- expanded="false"
- shape="variant decreaseCtaFOFNilainfix <asize_fo_formula_listV6asize_fo_formula_listV0Aainfix <=c0asize_fo_formula_listV0Larename_subst_symbolV1aidentityLarename_subst_fo_termV2aidentityaidentityLarename_subst_symbolV3aidentityLarename_subst_fo_termV4aidentityaidentityIainfix =asubst_fo_formulaasubst_fo_formulaV5V10V9V8V7asubst_fo_formulaV5asubst_compose_symbolV10V8asubst_compose_fo_termV9V8V7Larename_subst_symbolV1aidentityLarename_subst_fo_termV2aidentityaidentityLarename_subst_symbolV3aidentityLarename_subst_fo_termV4aidentityaidentityaFOFConsVVV0F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_composition_lemma_fo_formula_list"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.06"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_composition_lemma_fo_formula_list.3"
- locfile="../Firstorder_formula_list_spec.mlw"
- loclnum="119" loccnumb="16" loccnume="55"
- expl="3. postcondition"
- sum="dbdb379ab5939cb14811b562d3007569"
- proved="true"
- expanded="false"
- shape="postconditionCtaFOFNilainfix =asubst_fo_formula_listasubst_fo_formula_listV0V1V2V3V4asubst_fo_formula_listV0asubst_compose_symbolV1V3asubst_compose_fo_termV2V3V4Iainfix =asubst_fo_formula_listasubst_fo_formula_listV6V14V13V12V11asubst_fo_formula_listV6asubst_compose_symbolV14V12asubst_compose_fo_termV13V12V11Larename_subst_symbolV1aidentityLarename_subst_fo_termV2aidentityaidentityLarename_subst_symbolV3aidentityLarename_subst_fo_termV4aidentityaidentityIainfix =asubst_fo_formulaasubst_fo_formulaV5V10V9V8V7asubst_fo_formulaV5asubst_compose_symbolV10V8asubst_compose_fo_termV9V8V7Larename_subst_symbolV1aidentityLarename_subst_fo_termV2aidentityaidentityLarename_subst_symbolV3aidentityLarename_subst_fo_termV4aidentityaidentityaFOFConsVVV0F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_composition_lemma_fo_formula_list"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.07"/>
- </proof>
- </goal>
- </transf>
- </goal>
- <goal
- name="WP_parameter subst_identity_lemma_fo_formula_list"
- locfile="../Firstorder_formula_list_spec.mlw"
- loclnum="143" loccnumb="16" loccnume="52"
- expl="VC for subst_identity_lemma_fo_formula_list"
- sum="e1f0128c6f0481499905c551e4e2b956"
- proved="true"
- expanded="false"
- shape="Cainfix =asubst_fo_formula_listV0asubst_id_symbolasubst_id_fo_termV0aFOFNilainfix =asubst_fo_formula_listV0asubst_id_symbolasubst_id_fo_termV0Iainfix =asubst_fo_formula_listV2asubst_id_symbolasubst_id_fo_termV2Aainfix <asize_fo_formula_listV2asize_fo_formula_listV0Aainfix <=c0asize_fo_formula_listV0Iainfix =asubst_fo_formulaV1asubst_id_symbolasubst_id_fo_termV1aFOFConsVVV0F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_identity_lemma_fo_formula_list"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.11"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter renaming_preserve_size_fo_formula_list"
- locfile="../Firstorder_formula_list_spec.mlw"
- loclnum="153" loccnumb="16" loccnume="54"
- expl="VC for renaming_preserve_size_fo_formula_list"
- sum="570946a217d34c06fae21dc3013d27ef"
- proved="true"
- expanded="false"
- shape="Cainfix =asize_fo_formula_listarename_fo_formula_listV0V1V2asize_fo_formula_listV0aFOFNilainfix =asize_fo_formula_listarename_fo_formula_listV0V1V2asize_fo_formula_listV0Iainfix =asize_fo_formula_listarename_fo_formula_listV4V1V2asize_fo_formula_listV4Aainfix <asize_fo_formula_listV4asize_fo_formula_listV0Aainfix <=c0asize_fo_formula_listV0Iainfix =asize_fo_formulaarename_fo_formulaV3V1V2asize_fo_formulaV3aFOFConsVVV0F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for renaming_preserve_size_fo_formula_list"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.07"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter rename_free_var_constructive_inversion_symbol_fo_formula_list"
- locfile="../Firstorder_formula_list_spec.mlw"
- loclnum="180" loccnumb="16" loccnume="77"
- expl="VC for rename_free_var_constructive_inversion_symbol_fo_formula_list"
- sum="bf0752f557725c826be85dbe446b0345"
- proved="true"
- expanded="false"
- shape="CfaFOFNiliifainfix =ainfix @!V2V6V0Aais_symbol_free_var_in_fo_formula_listV6V1Iainfix =ainfix @!V2V6V0Aais_symbol_free_var_in_fo_formula_listV6V5FAais_symbol_free_var_in_fo_formula_listV0arename_fo_formula_listV5V2V3Aainfix <asize_fo_formula_listV5asize_fo_formula_listV1Aainfix <=c0asize_fo_formula_listV1ais_symbol_free_var_in_fo_formula_listV0arename_fo_formula_listV5V2V3ainfix =ainfix @!V2V7V0Aais_symbol_free_var_in_fo_formula_listV7V1Iainfix =ainfix @!V2V7V0Aais_symbol_free_var_in_fo_formulaV7V4FAais_symbol_free_var_in_fo_formulaV0arename_fo_formulaV4V2V3ais_symbol_free_var_in_fo_formulaV0arename_fo_formulaV4V2V3aFOFConsVVV1Iais_symbol_free_var_in_fo_formula_listV0arename_fo_formula_listV1V2V3F">
- <label
- name="expl:VC for rename_free_var_constructive_inversion_symbol_fo_formula_list"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.12"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter rename_free_var_inversion_symbol_fo_formula_list"
- locfile="../Firstorder_formula_list_spec.mlw"
- loclnum="209" loccnumb="13" loccnume="61"
- expl="VC for rename_free_var_inversion_symbol_fo_formula_list"
- sum="5a74e53cdc65f6f6a6e8f8040f90b2bc"
- proved="true"
- expanded="false"
- shape="ainfix =ainfix @!V2V5V0Aais_symbol_free_var_in_fo_formula_listV5V1EIainfix =ainfix @!V2V4V0Aais_symbol_free_var_in_fo_formula_listV4V1FAais_symbol_free_var_in_fo_formula_listV0arename_fo_formula_listV1V2V3Aainfix <asize_fo_formula_listV1ainfix +c1asize_fo_formula_listV1Aainfix <=c0ainfix +c1asize_fo_formula_listV1Iais_symbol_free_var_in_fo_formula_listV0arename_fo_formula_listV1V2V3F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for rename_free_var_inversion_symbol_fo_formula_list"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.08"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter rename_free_var_constructive_inversion_fo_term_fo_formula_list"
- locfile="../Firstorder_formula_list_spec.mlw"
- loclnum="222" loccnumb="13" loccnume="75"
- expl="VC for rename_free_var_constructive_inversion_fo_term_fo_formula_list"
- sum="229f7881d53492245d3344ec22c418da"
- proved="true"
- expanded="false"
- shape="CfaFOFNiliifainfix =ainfix @!V3V6V0Aais_fo_term_free_var_in_fo_formula_listV6V1Iainfix =ainfix @!V3V6V0Aais_fo_term_free_var_in_fo_formula_listV6V5FAais_fo_term_free_var_in_fo_formula_listV0arename_fo_formula_listV5V2V3Aainfix <asize_fo_formula_listV5asize_fo_formula_listV1Aainfix <=c0asize_fo_formula_listV1ais_fo_term_free_var_in_fo_formula_listV0arename_fo_formula_listV5V2V3ainfix =ainfix @!V3V7V0Aais_fo_term_free_var_in_fo_formula_listV7V1Iainfix =ainfix @!V3V7V0Aais_fo_term_free_var_in_fo_formulaV7V4FAais_fo_term_free_var_in_fo_formulaV0arename_fo_formulaV4V2V3ais_fo_term_free_var_in_fo_formulaV0arename_fo_formulaV4V2V3aFOFConsVVV1Iais_fo_term_free_var_in_fo_formula_listV0arename_fo_formula_listV1V2V3F">
- <label
- name="expl:VC for rename_free_var_constructive_inversion_fo_term_fo_formula_list"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.09"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter rename_free_var_inversion_fo_term_fo_formula_list"
- locfile="../Firstorder_formula_list_spec.mlw"
- loclnum="251" loccnumb="13" loccnume="62"
- expl="VC for rename_free_var_inversion_fo_term_fo_formula_list"
- sum="0023f31b11d9a08e34694d01ff17a1fc"
- proved="true"
- expanded="false"
- shape="ainfix =ainfix @!V3V5V0Aais_fo_term_free_var_in_fo_formula_listV5V1EIainfix =ainfix @!V3V4V0Aais_fo_term_free_var_in_fo_formula_listV4V1FAais_fo_term_free_var_in_fo_formula_listV0arename_fo_formula_listV1V2V3Aainfix <asize_fo_formula_listV1ainfix +c1asize_fo_formula_listV1Aainfix <=c0ainfix +c1asize_fo_formula_listV1Iais_fo_term_free_var_in_fo_formula_listV0arename_fo_formula_listV1V2V3F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for rename_free_var_inversion_fo_term_fo_formula_list"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.06"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter rename_free_var_propagation_symbol_fo_formula_list"
- locfile="../Firstorder_formula_list_spec.mlw"
- loclnum="265" loccnumb="16" loccnume="66"
- expl="VC for rename_free_var_propagation_symbol_fo_formula_list"
- sum="518b9164eb62f141814b325c0f30ad9f"
- proved="true"
- expanded="false"
- shape="Cais_symbol_free_var_in_fo_formula_listainfix @!V2V0arename_fo_formula_listV1V2V3Iais_symbol_free_var_in_fo_formula_listV0V1aFOFNilais_symbol_free_var_in_fo_formula_listainfix @!V2V0arename_fo_formula_listV1V2V3Iais_symbol_free_var_in_fo_formula_listV0V1Iais_symbol_free_var_in_fo_formula_listainfix @!V2V0arename_fo_formula_listV5V2V3Iais_symbol_free_var_in_fo_formula_listV0V5Aainfix <asize_fo_formula_listV5asize_fo_formula_listV1Aainfix <=c0asize_fo_formula_listV1Iais_symbol_free_var_in_fo_formulaainfix @!V2V0arename_fo_formulaV4V2V3Iais_symbol_free_var_in_fo_formulaV0V4aFOFConsVVV1F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for rename_free_var_propagation_symbol_fo_formula_list"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.14"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter rename_free_var_propagation_fo_term_fo_formula_list"
- locfile="../Firstorder_formula_list_spec.mlw"
- loclnum="279" loccnumb="13" loccnume="64"
- expl="VC for rename_free_var_propagation_fo_term_fo_formula_list"
- sum="641713e53bc0c68e85e49d754df7ab26"
- proved="true"
- expanded="false"
- shape="Cais_fo_term_free_var_in_fo_formula_listainfix @!V3V0arename_fo_formula_listV1V2V3Iais_fo_term_free_var_in_fo_formula_listV0V1aFOFNilais_fo_term_free_var_in_fo_formula_listainfix @!V3V0arename_fo_formula_listV1V2V3Iais_fo_term_free_var_in_fo_formula_listV0V1Iais_fo_term_free_var_in_fo_formula_listainfix @!V3V0arename_fo_formula_listV5V2V3Iais_fo_term_free_var_in_fo_formula_listV0V5Aainfix <asize_fo_formula_listV5asize_fo_formula_listV1Aainfix <=c0asize_fo_formula_listV1Iais_fo_term_free_var_in_fo_formulaainfix @!V3V0arename_fo_formulaV4V2V3Iais_fo_term_free_var_in_fo_formulaV0V4aFOFConsVVV1F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for rename_free_var_propagation_fo_term_fo_formula_list"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.11"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula_list"
- locfile="../Firstorder_formula_list_spec.mlw"
- loclnum="293" loccnumb="16" loccnume="76"
- expl="VC for subst_free_var_constructive_inversion_symbol_fo_formula_list"
- sum="5bd654dbeb2db7c156ac0d29d602af2f"
- proved="true"
- expanded="false"
- shape="CfaFOFNiliifCCainfix =V13V0aVar_symbolVainfix @!V2V9Aais_symbol_free_var_in_fo_formula_listV9V1Aainfix =V12V0Iainfix =ainfix @!V10V12V0ACainfix =V14V12aVar_symbolVV11FACainfix =ainfix @!V10V15V0aVar_symbolVV11Lainfix @!V2V9LaidentityaLeftVais_symbol_free_var_in_fo_termV0ainfix @!V3V16Aais_fo_term_free_var_in_fo_formula_listV16V1Aainfix =V19V0Iainfix =ainfix @!V17V19V0Aais_symbol_free_var_in_fo_termV19V18FAais_symbol_free_var_in_fo_termV0arename_fo_termV18V17aidentityLainfix @!V3V16LaidentityaRightVV8ICCainfix =V21V0aVar_symbolVainfix @!V7V20Aais_symbol_free_var_in_fo_formula_listV20V5aLeftVais_symbol_free_var_in_fo_termV0ainfix @!V6V22Aais_fo_term_free_var_in_fo_formula_listV22V5aRightVV8FAais_symbol_free_var_in_fo_formula_listV0asubst_fo_formula_listV5V7V6Aainfix <asize_fo_formula_listV5asize_fo_formula_listV1Aainfix <=c0asize_fo_formula_listV1Larename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityais_symbol_free_var_in_fo_formula_listV0asubst_fo_formula_listV5arename_subst_symbolV2aidentityarename_subst_fo_termV3aidentityaidentityCCainfix =V30V0aVar_symbolVainfix @!V2V26Aais_symbol_free_var_in_fo_formula_listV26V1Aainfix =V29V0Iainfix =ainfix @!V27V29V0ACainfix =V31V29aVar_symbolVV28FACainfix =ainfix @!V27V32V0aVar_symbolVV28Lainfix @!V2V26LaidentityaLeftVais_symbol_free_var_in_fo_termV0ainfix @!V3V33Aais_fo_term_free_var_in_fo_formula_listV33V1Aainfix =V36V0Iainfix =ainfix @!V34V36V0Aais_symbol_free_var_in_fo_termV36V35FAais_symbol_free_var_in_fo_termV0arename_fo_termV35V34aidentityLainfix @!V3V33LaidentityaRightVV25ICCainfix =V38V0aVar_symbolVainfix @!V24V37Aais_symbol_free_var_in_fo_formulaV37V4aLeftVais_symbol_free_var_in_fo_termV0ainfix @!V23V39Aais_fo_term_free_var_in_fo_formulaV39V4aRightVV25FAais_symbol_free_var_in_fo_formulaV0asubst_fo_formulaV4V24V23Larename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityais_symbol_free_var_in_fo_formulaV0asubst_fo_formulaV4arename_subst_symbolV2aidentityarename_subst_fo_termV3aidentityaidentityaFOFConsVVV1Iais_symbol_free_var_in_fo_formula_listV0asubst_fo_formula_listV1V2V3F">
- <label
- name="expl:VC for subst_free_var_constructive_inversion_symbol_fo_formula_list"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.36"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_free_var_inversion_symbol_fo_formula_list"
- locfile="../Firstorder_formula_list_spec.mlw"
- loclnum="356" loccnumb="13" loccnume="60"
- expl="VC for subst_free_var_inversion_symbol_fo_formula_list"
- sum="3f9041ee758086a505a2911e55942a6a"
- proved="true"
- expanded="false"
- shape="Cais_symbol_free_var_in_fo_termV0ainfix @!V3V6Aais_fo_term_free_var_in_fo_formula_listV6V1EOCainfix =V8V0aVar_symbolVainfix @!V2V7Aais_symbol_free_var_in_fo_formula_listV7V1EaLeftVais_symbol_free_var_in_fo_termV0ainfix @!V3V10Aais_fo_term_free_var_in_fo_formula_listV10V1EOCainfix =V12V0aVar_symbolVainfix @!V2V11Aais_symbol_free_var_in_fo_formula_listV11V1EaRightVV4ICCainfix =V14V0aVar_symbolVainfix @!V2V13Aais_symbol_free_var_in_fo_formula_listV13V1aLeftVais_symbol_free_var_in_fo_termV0ainfix @!V3V15Aais_fo_term_free_var_in_fo_formula_listV15V1aRightVV4FAais_symbol_free_var_in_fo_formula_listV0asubst_fo_formula_listV1V2V3Aainfix <asize_fo_formula_listV1ainfix +c1asize_fo_formula_listV1Aainfix <=c0ainfix +c1asize_fo_formula_listV1Iais_symbol_free_var_in_fo_formula_listV0asubst_fo_formula_listV1V2V3F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_free_var_inversion_symbol_fo_formula_list"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.09"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_free_var_constructive_inversion_fo_term_fo_formula_list"
- locfile="../Firstorder_formula_list_spec.mlw"
- loclnum="374" loccnumb="13" loccnume="74"
- expl="VC for subst_free_var_constructive_inversion_fo_term_fo_formula_list"
- sum="54d1b4ccb42ac96578cd0b12986275ed"
- proved="true"
- expanded="false"
- shape="CfaFOFNiliifais_fo_term_free_var_in_fo_termV0ainfix @!V3V7Aais_fo_term_free_var_in_fo_formula_listV7V1Aainfix =V10V0Iainfix =ainfix @!V8V10V0Aais_fo_term_free_var_in_fo_termV10V9FAais_fo_term_free_var_in_fo_termV0arename_fo_termV9aidentityV8Lainfix @!V3V7LaidentityIais_fo_term_free_var_in_fo_termV0ainfix @!V6V7Aais_fo_term_free_var_in_fo_formula_listV7V5FAais_fo_term_free_var_in_fo_formula_listV0asubst_fo_formula_listV5arename_subst_symbolV2aidentityV6Aainfix <asize_fo_formula_listV5asize_fo_formula_listV1Aainfix <=c0asize_fo_formula_listV1Larename_subst_fo_termV3aidentityaidentityais_fo_term_free_var_in_fo_formula_listV0asubst_fo_formula_listV5arename_subst_symbolV2aidentityarename_subst_fo_termV3aidentityaidentityais_fo_term_free_var_in_fo_termV0ainfix @!V3V12Aais_fo_term_free_var_in_fo_formula_listV12V1Aainfix =V15V0Iainfix =ainfix @!V13V15V0Aais_fo_term_free_var_in_fo_termV15V14FAais_fo_term_free_var_in_fo_termV0arename_fo_termV14aidentityV13Lainfix @!V3V12LaidentityIais_fo_term_free_var_in_fo_termV0ainfix @!V11V12Aais_fo_term_free_var_in_fo_formulaV12V4FAais_fo_term_free_var_in_fo_formulaV0asubst_fo_formulaV4arename_subst_symbolV2aidentityV11Larename_subst_fo_termV3aidentityaidentityais_fo_term_free_var_in_fo_formulaV0asubst_fo_formulaV4arename_subst_symbolV2aidentityarename_subst_fo_termV3aidentityaidentityaFOFConsVVV1Iais_fo_term_free_var_in_fo_formula_listV0asubst_fo_formula_listV1V2V3F">
- <label
- name="expl:VC for subst_free_var_constructive_inversion_fo_term_fo_formula_list"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.28"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_free_var_inversion_fo_term_fo_formula_list"
- locfile="../Firstorder_formula_list_spec.mlw"
- loclnum="417" loccnumb="13" loccnume="61"
- expl="VC for subst_free_var_inversion_fo_term_fo_formula_list"
- sum="53a65909390602d88686b845c58498f7"
- proved="true"
- expanded="false"
- shape="ais_fo_term_free_var_in_fo_termV0ainfix @!V3V5Aais_fo_term_free_var_in_fo_formula_listV5V1EIais_fo_term_free_var_in_fo_termV0ainfix @!V3V4Aais_fo_term_free_var_in_fo_formula_listV4V1FAais_fo_term_free_var_in_fo_formula_listV0asubst_fo_formula_listV1V2V3Aainfix <asize_fo_formula_listV1ainfix +c1asize_fo_formula_listV1Aainfix <=c0ainfix +c1asize_fo_formula_listV1Iais_fo_term_free_var_in_fo_formula_listV0asubst_fo_formula_listV1V2V3F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_free_var_inversion_fo_term_fo_formula_list"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.07"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_free_var_propagation_symbol_symbol_fo_formula_list"
- locfile="../Firstorder_formula_list_spec.mlw"
- loclnum="433" loccnumb="16" loccnume="72"
- expl="VC for subst_free_var_propagation_symbol_symbol_fo_formula_list"
- sum="eb13d1775f4d455b1de56dbe244d5f05"
- proved="true"
- expanded="false"
- shape="Cais_symbol_free_var_in_fo_formula_listV1asubst_fo_formula_listV2V3V4ICainfix =V5V1aVar_symbolVainfix @!V3V0Aais_symbol_free_var_in_fo_formula_listV0V2aFOFNilais_symbol_free_var_in_fo_formula_listV1asubst_fo_formula_listV2V3V4ICainfix =V14V1aVar_symbolVainfix @!V3V0Aais_symbol_free_var_in_fo_formula_listV0V2ACainfix =V15V1aVar_symbolVainfix @!arename_subst_symbolV3aidentityV0ICainfix =V16V1aVar_symbolVainfix @!V3V0ICainfix =ainfix @!V12V17ainfix @!V12V1aVar_symbolVV13ICainfix =V18V1aVar_symbolVV13Lainfix @!V3V0LaidentityIais_symbol_free_var_in_fo_formula_listV1asubst_fo_formula_listV7V11arename_subst_fo_termV4aidentityaidentityICainfix =V19V1aVar_symbolVainfix @!V11V0Aais_symbol_free_var_in_fo_formula_listV0V7Aainfix <asize_fo_formula_listV7asize_fo_formula_listV2Aainfix <=c0asize_fo_formula_listV2Larename_subst_symbolV3aidentityACainfix =V20V1aVar_symbolVainfix @!arename_subst_symbolV3aidentityV0ICainfix =V21V1aVar_symbolVainfix @!V3V0ICainfix =ainfix @!V9V22ainfix @!V9V1aVar_symbolVV10ICainfix =V23V1aVar_symbolVV10Lainfix @!V3V0LaidentityIais_symbol_free_var_in_fo_formulaV1asubst_fo_formulaV6V8arename_subst_fo_termV4aidentityaidentityICainfix =V24V1aVar_symbolVainfix @!V8V0Aais_symbol_free_var_in_fo_formulaV0V6Larename_subst_symbolV3aidentityaFOFConsVVV2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_free_var_propagation_symbol_symbol_fo_formula_list"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="1.47"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_free_var_propagation_fo_term_symbol_fo_formula_list"
- locfile="../Firstorder_formula_list_spec.mlw"
- loclnum="463" loccnumb="13" loccnume="70"
- expl="VC for subst_free_var_propagation_fo_term_symbol_fo_formula_list"
- sum="78db265b3ff9aec3f034060b36a98bc6"
- proved="true"
- expanded="false"
- shape="Cais_symbol_free_var_in_fo_formula_listV1asubst_fo_formula_listV2V3V4Iais_symbol_free_var_in_fo_termV1ainfix @!V4V0Aais_fo_term_free_var_in_fo_formula_listV0V2aFOFNilais_symbol_free_var_in_fo_formula_listV1asubst_fo_formula_listV2V3V4Iais_symbol_free_var_in_fo_termV1ainfix @!V4V0Aais_fo_term_free_var_in_fo_formula_listV0V2Aais_symbol_free_var_in_fo_termV1ainfix @!arename_subst_fo_termV4aidentityaidentityV0Iais_symbol_free_var_in_fo_termV1ainfix @!V4V0Iais_symbol_free_var_in_fo_termainfix @!V11V1arename_fo_termV12V11aidentityIais_symbol_free_var_in_fo_termV1V12Lainfix @!V4V0LaidentityIais_symbol_free_var_in_fo_formula_listV1asubst_fo_formula_listV6arename_subst_symbolV3aidentityV10Iais_symbol_free_var_in_fo_termV1ainfix @!V10V0Aais_fo_term_free_var_in_fo_formula_listV0V6Aainfix <asize_fo_formula_listV6asize_fo_formula_listV2Aainfix <=c0asize_fo_formula_listV2Larename_subst_fo_termV4aidentityaidentityAais_symbol_free_var_in_fo_termV1ainfix @!arename_subst_fo_termV4aidentityaidentityV0Iais_symbol_free_var_in_fo_termV1ainfix @!V4V0Iais_symbol_free_var_in_fo_termainfix @!V8V1arename_fo_termV9V8aidentityIais_symbol_free_var_in_fo_termV1V9Lainfix @!V4V0LaidentityIais_symbol_free_var_in_fo_formulaV1asubst_fo_formulaV5arename_subst_symbolV3aidentityV7Iais_symbol_free_var_in_fo_termV1ainfix @!V7V0Aais_fo_term_free_var_in_fo_formulaV0V5Larename_subst_fo_termV4aidentityaidentityaFOFConsVVV2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_free_var_propagation_fo_term_symbol_fo_formula_list"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="3.88"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_free_var_propagation_fo_term_fo_term_fo_formula_list"
- locfile="../Firstorder_formula_list_spec.mlw"
- loclnum="495" loccnumb="13" loccnume="71"
- expl="VC for subst_free_var_propagation_fo_term_fo_term_fo_formula_list"
- sum="50b02a6e220a17fd8e3f936936268d66"
- proved="true"
- expanded="false"
- shape="Cais_fo_term_free_var_in_fo_formula_listV1asubst_fo_formula_listV2V3V4Iais_fo_term_free_var_in_fo_termV1ainfix @!V4V0Aais_fo_term_free_var_in_fo_formula_listV0V2aFOFNilais_fo_term_free_var_in_fo_formula_listV1asubst_fo_formula_listV2V3V4Iais_fo_term_free_var_in_fo_termV1ainfix @!V4V0Aais_fo_term_free_var_in_fo_formula_listV0V2Aais_fo_term_free_var_in_fo_termV1ainfix @!arename_subst_fo_termV4aidentityaidentityV0Iais_fo_term_free_var_in_fo_termV1ainfix @!V4V0Iais_fo_term_free_var_in_fo_termainfix @!V11V1arename_fo_termV12aidentityV11Iais_fo_term_free_var_in_fo_termV1V12Lainfix @!V4V0LaidentityIais_fo_term_free_var_in_fo_formula_listV1asubst_fo_formula_listV6arename_subst_symbolV3aidentityV10Iais_fo_term_free_var_in_fo_termV1ainfix @!V10V0Aais_fo_term_free_var_in_fo_formula_listV0V6Aainfix <asize_fo_formula_listV6asize_fo_formula_listV2Aainfix <=c0asize_fo_formula_listV2Larename_subst_fo_termV4aidentityaidentityAais_fo_term_free_var_in_fo_termV1ainfix @!arename_subst_fo_termV4aidentityaidentityV0Iais_fo_term_free_var_in_fo_termV1ainfix @!V4V0Iais_fo_term_free_var_in_fo_termainfix @!V8V1arename_fo_termV9aidentityV8Iais_fo_term_free_var_in_fo_termV1V9Lainfix @!V4V0LaidentityIais_fo_term_free_var_in_fo_formulaV1asubst_fo_formulaV5arename_subst_symbolV3aidentityV7Iais_fo_term_free_var_in_fo_termV1ainfix @!V7V0Aais_fo_term_free_var_in_fo_formulaV0V5Larename_subst_fo_termV4aidentityaidentityaFOFConsVVV2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_free_var_propagation_fo_term_fo_term_fo_formula_list"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="true"
- archived="false">
- <result status="timeout" time="0.99"/>
- </proof>
- <transf
- name="split_goal_wp"
- proved="true"
- expanded="false">
- <goal
- name="WP_parameter subst_free_var_propagation_fo_term_fo_term_fo_formula_list.1"
- locfile="../Firstorder_formula_list_spec.mlw"
- loclnum="495" loccnumb="13" loccnume="71"
- expl="1. postcondition"
- sum="dc025bf23d6742cc9c59514daea3887f"
- proved="true"
- expanded="false"
- shape="postconditionCais_fo_term_free_var_in_fo_formula_listV1asubst_fo_formula_listV2V3V4Iais_fo_term_free_var_in_fo_termV1ainfix @!V4V0Aais_fo_term_free_var_in_fo_formula_listV0V2aFOFNiltaFOFConsVVV2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_free_var_propagation_fo_term_fo_term_fo_formula_list"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.05"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_free_var_propagation_fo_term_fo_term_fo_formula_list.2"
- locfile="../Firstorder_formula_list_spec.mlw"
- loclnum="495" loccnumb="13" loccnume="71"
- expl="2. assertion"
- sum="49f8a87b8e0a5dda039fef04bf34d5f2"
- proved="true"
- expanded="false"
- shape="assertionCtaFOFNilais_fo_term_free_var_in_fo_termV1ainfix @!arename_subst_fo_termV4aidentityaidentityV0Iais_fo_term_free_var_in_fo_termV1ainfix @!V4V0Iais_fo_term_free_var_in_fo_termainfix @!V8V1arename_fo_termV9aidentityV8Iais_fo_term_free_var_in_fo_termV1V9Lainfix @!V4V0LaidentityIais_fo_term_free_var_in_fo_formulaV1asubst_fo_formulaV5arename_subst_symbolV3aidentityV7Iais_fo_term_free_var_in_fo_termV1ainfix @!V7V0Aais_fo_term_free_var_in_fo_formulaV0V5Larename_subst_fo_termV4aidentityaidentityaFOFConsVVV2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_free_var_propagation_fo_term_fo_term_fo_formula_list"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.04"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_free_var_propagation_fo_term_fo_term_fo_formula_list.3"
- locfile="../Firstorder_formula_list_spec.mlw"
- loclnum="495" loccnumb="13" loccnume="71"
- expl="3. variant decrease"
- sum="57cd2f87aac08c1efe69291b47f8fd56"
- proved="true"
- expanded="false"
- shape="variant decreaseCtaFOFNilainfix <asize_fo_formula_listV6asize_fo_formula_listV2Aainfix <=c0asize_fo_formula_listV2Larename_subst_fo_termV4aidentityaidentityIais_fo_term_free_var_in_fo_termV1ainfix @!arename_subst_fo_termV4aidentityaidentityV0Iais_fo_term_free_var_in_fo_termV1ainfix @!V4V0Iais_fo_term_free_var_in_fo_termainfix @!V8V1arename_fo_termV9aidentityV8Iais_fo_term_free_var_in_fo_termV1V9Lainfix @!V4V0LaidentityIais_fo_term_free_var_in_fo_formulaV1asubst_fo_formulaV5arename_subst_symbolV3aidentityV7Iais_fo_term_free_var_in_fo_termV1ainfix @!V7V0Aais_fo_term_free_var_in_fo_formulaV0V5Larename_subst_fo_termV4aidentityaidentityaFOFConsVVV2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_free_var_propagation_fo_term_fo_term_fo_formula_list"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.05"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_free_var_propagation_fo_term_fo_term_fo_formula_list.4"
- locfile="../Firstorder_formula_list_spec.mlw"
- loclnum="495" loccnumb="13" loccnume="71"
- expl="4. assertion"
- sum="f6e759c53615848726dc150b260a16cd"
- proved="true"
- expanded="false"
- shape="assertionCtaFOFNilais_fo_term_free_var_in_fo_termV1ainfix @!arename_subst_fo_termV4aidentityaidentityV0Iais_fo_term_free_var_in_fo_termV1ainfix @!V4V0Iais_fo_term_free_var_in_fo_termainfix @!V11V1arename_fo_termV12aidentityV11Iais_fo_term_free_var_in_fo_termV1V12Lainfix @!V4V0LaidentityIais_fo_term_free_var_in_fo_formula_listV1asubst_fo_formula_listV6arename_subst_symbolV3aidentityV10Iais_fo_term_free_var_in_fo_termV1ainfix @!V10V0Aais_fo_term_free_var_in_fo_formula_listV0V6Larename_subst_fo_termV4aidentityaidentityIais_fo_term_free_var_in_fo_termV1ainfix @!arename_subst_fo_termV4aidentityaidentityV0Iais_fo_term_free_var_in_fo_termV1ainfix @!V4V0Iais_fo_term_free_var_in_fo_termainfix @!V8V1arename_fo_termV9aidentityV8Iais_fo_term_free_var_in_fo_termV1V9Lainfix @!V4V0LaidentityIais_fo_term_free_var_in_fo_formulaV1asubst_fo_formulaV5arename_subst_symbolV3aidentityV7Iais_fo_term_free_var_in_fo_termV1ainfix @!V7V0Aais_fo_term_free_var_in_fo_formulaV0V5Larename_subst_fo_termV4aidentityaidentityaFOFConsVVV2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_free_var_propagation_fo_term_fo_term_fo_formula_list"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.05"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_free_var_propagation_fo_term_fo_term_fo_formula_list.5"
- locfile="../Firstorder_formula_list_spec.mlw"
- loclnum="495" loccnumb="13" loccnume="71"
- expl="5. postcondition"
- sum="2fa8dd5a211b48017165b93f47fece9f"
- proved="true"
- expanded="false"
- shape="postconditionCtaFOFNilais_fo_term_free_var_in_fo_formula_listV1asubst_fo_formula_listV2V3V4Iais_fo_term_free_var_in_fo_termV1ainfix @!V4V0Aais_fo_term_free_var_in_fo_formula_listV0V2Iais_fo_term_free_var_in_fo_termV1ainfix @!arename_subst_fo_termV4aidentityaidentityV0Iais_fo_term_free_var_in_fo_termV1ainfix @!V4V0Iais_fo_term_free_var_in_fo_termainfix @!V11V1arename_fo_termV12aidentityV11Iais_fo_term_free_var_in_fo_termV1V12Lainfix @!V4V0LaidentityIais_fo_term_free_var_in_fo_formula_listV1asubst_fo_formula_listV6arename_subst_symbolV3aidentityV10Iais_fo_term_free_var_in_fo_termV1ainfix @!V10V0Aais_fo_term_free_var_in_fo_formula_listV0V6Larename_subst_fo_termV4aidentityaidentityIais_fo_term_free_var_in_fo_termV1ainfix @!arename_subst_fo_termV4aidentityaidentityV0Iais_fo_term_free_var_in_fo_termV1ainfix @!V4V0Iais_fo_term_free_var_in_fo_termainfix @!V8V1arename_fo_termV9aidentityV8Iais_fo_term_free_var_in_fo_termV1V9Lainfix @!V4V0LaidentityIais_fo_term_free_var_in_fo_formulaV1asubst_fo_formulaV5arename_subst_symbolV3aidentityV7Iais_fo_term_free_var_in_fo_termV1ainfix @!V7V0Aais_fo_term_free_var_in_fo_formulaV0V5Larename_subst_fo_termV4aidentityaidentityaFOFConsVVV2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_free_var_propagation_fo_term_fo_term_fo_formula_list"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.06"/>
- </proof>
- </goal>
- </transf>
- </goal>
- <goal
- name="WP_parameter free_var_equivalence_of_subst_fo_formula_list"
- locfile="../Firstorder_formula_list_spec.mlw"
- loclnum="528" loccnumb="16" loccnume="61"
- expl="VC for free_var_equivalence_of_subst_fo_formula_list"
- sum="1497668df7075671c24e7e2a31d80b0c"
- proved="true"
- expanded="false"
- shape="Cainfix =asubst_fo_formula_listV0V1V3asubst_fo_formula_listV0V2V4aFOFNilainfix =asubst_fo_formula_listV0V1V3asubst_fo_formula_listV0V2V4Iainfix =asubst_fo_formula_listV6V14V12asubst_fo_formula_listV6V13V11Aainfix =ainfix @!V12V15ainfix @!V11V15Iais_fo_term_free_var_in_fo_formula_listV15V6FAainfix =ainfix @!V14V16ainfix @!V13V16Iais_symbol_free_var_in_fo_formula_listV16V6FAainfix <asize_fo_formula_listV6asize_fo_formula_listV0Aainfix <=c0asize_fo_formula_listV0Larename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityLarename_subst_fo_termV4aidentityaidentityAais_fo_term_free_var_in_fo_formula_listV17V0Iais_fo_term_free_var_in_fo_formula_listV17V6FAais_symbol_free_var_in_fo_formula_listV18V0Iais_symbol_free_var_in_fo_formula_listV18V6FIainfix =asubst_fo_formulaV5V10V8asubst_fo_formulaV5V9V7Aainfix =ainfix @!V8V19ainfix @!V7V19Iais_fo_term_free_var_in_fo_formulaV19V5FAainfix =ainfix @!V10V20ainfix @!V9V20Iais_symbol_free_var_in_fo_formulaV20V5FLarename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityLarename_subst_fo_termV4aidentityaidentityAais_fo_term_free_var_in_fo_formula_listV21V0Iais_fo_term_free_var_in_fo_formulaV21V5FAais_symbol_free_var_in_fo_formula_listV22V0Iais_symbol_free_var_in_fo_formulaV22V5FaFOFConsVVV0Iainfix =ainfix @!V3V23ainfix @!V4V23Iais_fo_term_free_var_in_fo_formula_listV23V0FAainfix =ainfix @!V1V24ainfix @!V2V24Iais_symbol_free_var_in_fo_formula_listV24V0FF">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_equivalence_of_subst_fo_formula_list"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.24"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter free_var_equivalence_of_rename_fo_formula_list"
- locfile="../Firstorder_formula_list_spec.mlw"
- loclnum="574" loccnumb="12" loccnume="58"
- expl="VC for free_var_equivalence_of_rename_fo_formula_list"
- sum="0c238f1e6552822a456f1f16ffc29467"
- proved="true"
- expanded="false"
- shape="ainfix =arename_fo_formula_listV0V1V3arename_fo_formula_listV0V2V4Iainfix =asubst_fo_formula_listV0V8V6asubst_fo_formula_listV0V7V5Aainfix =ainfix @!V6V9ainfix @!V5V9Iais_fo_term_free_var_in_fo_formula_listV9V0FAainfix =ainfix @!V8V10ainfix @!V7V10Iais_symbol_free_var_in_fo_formula_listV10V0FLasubst_of_rename_symbolV1Lasubst_of_rename_symbolV2Lasubst_of_rename_fo_termV3Lasubst_of_rename_fo_termV4Iainfix =ainfix @!V3V11ainfix @!V4V11Iais_fo_term_free_var_in_fo_formula_listV11V0FAainfix =ainfix @!V1V12ainfix @!V2V12Iais_symbol_free_var_in_fo_formula_listV12V0FF">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_equivalence_of_rename_fo_formula_list"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.08"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula_list"
- locfile="../Firstorder_formula_list_spec.mlw"
- loclnum="592" loccnumb="16" loccnume="68"
- expl="VC for free_var_derive_equivalence_of_subst_fo_formula_list"
- sum="1ebd8d33a27f0568f03c5cff3368d206"
- proved="true"
- expanded="false"
- shape="Cainfix =ainfix @!V3V5ainfix @!V4V5Iais_fo_term_free_var_in_fo_formula_listV5V0FAainfix =ainfix @!V1V6ainfix @!V2V6Iais_symbol_free_var_in_fo_formula_listV6V0FaFOFNilainfix =ainfix @!V3V17ainfix @!V4V17Iais_fo_term_free_var_in_fo_formula_listV17V0FAainfix =ainfix @!V1V18ainfix @!V2V18Iais_symbol_free_var_in_fo_formula_listV18V0FAainfix =ainfix @!V3V19ainfix @!V4V19Iais_fo_term_free_var_in_fo_formula_listV19V8FAainfix =ainfix @!V3V20ainfix @!V4V20Aainfix =arename_fo_termarename_fo_termainfix @!V4V20aidentityaidentityaidentityaidentityainfix @!V4V20Aainfix =arename_fo_termarename_fo_termainfix @!V3V20aidentityaidentityaidentityaidentityarename_fo_termarename_fo_termainfix @!V4V20aidentityaidentityaidentityaidentityAainfix =ainfix @!V3V20arename_fo_termarename_fo_termainfix @!V3V20aidentityaidentityaidentityaidentityAainfix =ainfix @!arename_subst_fo_termV4aidentityaidentityV20arename_fo_termainfix @!V4V20aidentityaidentityAainfix =ainfix @!arename_subst_fo_termV3aidentityaidentityV20ainfix @!arename_subst_fo_termV4aidentityaidentityV20Aainfix =arename_fo_termainfix @!V3V20aidentityaidentityainfix @!arename_subst_fo_termV3aidentityaidentityV20Iais_fo_term_free_var_in_fo_formula_listV20V8FAainfix =ainfix @!V1V21ainfix @!V2V21Iais_symbol_free_var_in_fo_formula_listV21V8FAainfix =ainfix @!V1V22ainfix @!V2V22Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV23aVar_symbolVainfix @!V2V22ainfix @!V2V22Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV24aVar_symbolVainfix @!V1V22CaVar_symbolainfix @!aidentityainfix @!aidentityV25aVar_symbolVainfix @!V2V22Aainfix =ainfix @!V1V22CaVar_symbolainfix @!aidentityainfix @!aidentityV26aVar_symbolVainfix @!V1V22Aainfix =ainfix @!arename_subst_symbolV2aidentityV22CaVar_symbolainfix @!aidentityV27aVar_symbolVainfix @!V2V22Aainfix =ainfix @!arename_subst_symbolV1aidentityV22ainfix @!arename_subst_symbolV2aidentityV22Aainfix =CaVar_symbolainfix @!aidentityV28aVar_symbolVainfix @!V1V22ainfix @!arename_subst_symbolV1aidentityV22Iais_symbol_free_var_in_fo_formula_listV22V8FIainfix =ainfix @!V14V29ainfix @!V13V29Iais_fo_term_free_var_in_fo_formula_listV29V8FAainfix =ainfix @!V16V30ainfix @!V15V30Iais_symbol_free_var_in_fo_formula_listV30V8FAainfix =asubst_fo_formula_listV8V16V14asubst_fo_formula_listV8V15V13Aainfix <asize_fo_formula_listV8asize_fo_formula_listV0Aainfix <=c0asize_fo_formula_listV0Larename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityLarename_subst_fo_termV4aidentityaidentityAainfix =ainfix @!V3V31ainfix @!V4V31Iais_fo_term_free_var_in_fo_formulaV31V7FAainfix =ainfix @!V3V32ainfix @!V4V32Aainfix =arename_fo_termarename_fo_termainfix @!V4V32aidentityaidentityaidentityaidentityainfix @!V4V32Aainfix =arename_fo_termarename_fo_termainfix @!V3V32aidentityaidentityaidentityaidentityarename_fo_termarename_fo_termainfix @!V4V32aidentityaidentityaidentityaidentityAainfix =ainfix @!V3V32arename_fo_termarename_fo_termainfix @!V3V32aidentityaidentityaidentityaidentityAainfix =ainfix @!arename_subst_fo_termV4aidentityaidentityV32arename_fo_termainfix @!V4V32aidentityaidentityAainfix =ainfix @!arename_subst_fo_termV3aidentityaidentityV32ainfix @!arename_subst_fo_termV4aidentityaidentityV32Aainfix =arename_fo_termainfix @!V3V32aidentityaidentityainfix @!arename_subst_fo_termV3aidentityaidentityV32Iais_fo_term_free_var_in_fo_formulaV32V7FAainfix =ainfix @!V1V33ainfix @!V2V33Iais_symbol_free_var_in_fo_formulaV33V7FAainfix =ainfix @!V1V34ainfix @!V2V34Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV35aVar_symbolVainfix @!V2V34ainfix @!V2V34Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV36aVar_symbolVainfix @!V1V34CaVar_symbolainfix @!aidentityainfix @!aidentityV37aVar_symbolVainfix @!V2V34Aainfix =ainfix @!V1V34CaVar_symbolainfix @!aidentityainfix @!aidentityV38aVar_symbolVainfix @!V1V34Aainfix =ainfix @!arename_subst_symbolV2aidentityV34CaVar_symbolainfix @!aidentityV39aVar_symbolVainfix @!V2V34Aainfix =ainfix @!arename_subst_symbolV1aidentityV34ainfix @!arename_subst_symbolV2aidentityV34Aainfix =CaVar_symbolainfix @!aidentityV40aVar_symbolVainfix @!V1V34ainfix @!arename_subst_symbolV1aidentityV34Iais_symbol_free_var_in_fo_formulaV34V7FIainfix =ainfix @!V10V41ainfix @!V9V41Iais_fo_term_free_var_in_fo_formulaV41V7FAainfix =ainfix @!V12V42ainfix @!V11V42Iais_symbol_free_var_in_fo_formulaV42V7FAainfix =asubst_fo_formulaV7V12V10asubst_fo_formulaV7V11V9Larename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityLarename_subst_fo_termV4aidentityaidentityaFOFConsVVV0Iainfix =asubst_fo_formula_listV0V1V3asubst_fo_formula_listV0V2V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_derive_equivalence_of_subst_fo_formula_list"/>
- <transf
- name="split_goal_wp"
- proved="true"
- expanded="false">
- <goal
- name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula_list.1"
- locfile="../Firstorder_formula_list_spec.mlw"
- loclnum="592" loccnumb="16" loccnume="68"
- expl="1. postcondition"
- sum="98923cf9a916340d1e90a5bda5dc84d9"
- proved="true"
- expanded="false"
- shape="postconditionCainfix =ainfix @!V1V5ainfix @!V2V5Iais_symbol_free_var_in_fo_formula_listV5V0FaFOFNiltaFOFConsVVV0Iainfix =asubst_fo_formula_listV0V1V3asubst_fo_formula_listV0V2V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_derive_equivalence_of_subst_fo_formula_list"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.09"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula_list.2"
- locfile="../Firstorder_formula_list_spec.mlw"
- loclnum="592" loccnumb="16" loccnume="68"
- expl="2. postcondition"
- sum="308ccd3aa151ba88c58bc452209b6b49"
- proved="true"
- expanded="false"
- shape="postconditionCainfix =ainfix @!V3V5ainfix @!V4V5Iais_fo_term_free_var_in_fo_formula_listV5V0FaFOFNiltaFOFConsVVV0Iainfix =asubst_fo_formula_listV0V1V3asubst_fo_formula_listV0V2V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_derive_equivalence_of_subst_fo_formula_list"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.10"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula_list.3"
- locfile="../Firstorder_formula_list_spec.mlw"
- loclnum="592" loccnumb="16" loccnume="68"
- expl="3. precondition"
- sum="0127db52d8b576724eb2f1426826cef8"
- proved="true"
- expanded="false"
- shape="preconditionCtaFOFNilainfix =asubst_fo_formulaV5V10V8asubst_fo_formulaV5V9V7Larename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityLarename_subst_fo_termV4aidentityaidentityaFOFConsVVV0Iainfix =asubst_fo_formula_listV0V1V3asubst_fo_formula_listV0V2V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_derive_equivalence_of_subst_fo_formula_list"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="1.23"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula_list.4"
- locfile="../Firstorder_formula_list_spec.mlw"
- loclnum="592" loccnumb="16" loccnume="68"
- expl="4. assertion"
- sum="d24b6226a86430cfbbd03da966857046"
- proved="true"
- expanded="false"
- shape="assertionCtaFOFNilainfix =ainfix @!V1V11ainfix @!V2V11Iais_symbol_free_var_in_fo_formulaV11V5FAainfix =ainfix @!V1V12ainfix @!V2V12Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV13aVar_symbolVainfix @!V2V12ainfix @!V2V12Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV14aVar_symbolVainfix @!V1V12CaVar_symbolainfix @!aidentityainfix @!aidentityV15aVar_symbolVainfix @!V2V12Aainfix =ainfix @!V1V12CaVar_symbolainfix @!aidentityainfix @!aidentityV16aVar_symbolVainfix @!V1V12Aainfix =ainfix @!arename_subst_symbolV2aidentityV12CaVar_symbolainfix @!aidentityV17aVar_symbolVainfix @!V2V12Aainfix =ainfix @!arename_subst_symbolV1aidentityV12ainfix @!arename_subst_symbolV2aidentityV12Aainfix =CaVar_symbolainfix @!aidentityV18aVar_symbolVainfix @!V1V12ainfix @!arename_subst_symbolV1aidentityV12Iais_symbol_free_var_in_fo_formulaV12V5FIainfix =ainfix @!V8V19ainfix @!V7V19Iais_fo_term_free_var_in_fo_formulaV19V5FAainfix =ainfix @!V10V20ainfix @!V9V20Iais_symbol_free_var_in_fo_formulaV20V5FIainfix =asubst_fo_formulaV5V10V8asubst_fo_formulaV5V9V7Larename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityLarename_subst_fo_termV4aidentityaidentityaFOFConsVVV0Iainfix =asubst_fo_formula_listV0V1V3asubst_fo_formula_listV0V2V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_derive_equivalence_of_subst_fo_formula_list"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.18"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula_list.5"
- locfile="../Firstorder_formula_list_spec.mlw"
- loclnum="592" loccnumb="16" loccnume="68"
- expl="5. assertion"
- sum="0602f6ee1eaf6fe1ee8aa2d482ac436e"
- proved="true"
- expanded="false"
- shape="assertionCtaFOFNilainfix =ainfix @!V3V11ainfix @!V4V11Iais_fo_term_free_var_in_fo_formulaV11V5FAainfix =ainfix @!V3V12ainfix @!V4V12Aainfix =arename_fo_termarename_fo_termainfix @!V4V12aidentityaidentityaidentityaidentityainfix @!V4V12Aainfix =arename_fo_termarename_fo_termainfix @!V3V12aidentityaidentityaidentityaidentityarename_fo_termarename_fo_termainfix @!V4V12aidentityaidentityaidentityaidentityAainfix =ainfix @!V3V12arename_fo_termarename_fo_termainfix @!V3V12aidentityaidentityaidentityaidentityAainfix =ainfix @!arename_subst_fo_termV4aidentityaidentityV12arename_fo_termainfix @!V4V12aidentityaidentityAainfix =ainfix @!arename_subst_fo_termV3aidentityaidentityV12ainfix @!arename_subst_fo_termV4aidentityaidentityV12Aainfix =arename_fo_termainfix @!V3V12aidentityaidentityainfix @!arename_subst_fo_termV3aidentityaidentityV12Iais_fo_term_free_var_in_fo_formulaV12V5FIainfix =ainfix @!V1V13ainfix @!V2V13Iais_symbol_free_var_in_fo_formulaV13V5FAainfix =ainfix @!V1V14ainfix @!V2V14Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV15aVar_symbolVainfix @!V2V14ainfix @!V2V14Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV16aVar_symbolVainfix @!V1V14CaVar_symbolainfix @!aidentityainfix @!aidentityV17aVar_symbolVainfix @!V2V14Aainfix =ainfix @!V1V14CaVar_symbolainfix @!aidentityainfix @!aidentityV18aVar_symbolVainfix @!V1V14Aainfix =ainfix @!arename_subst_symbolV2aidentityV14CaVar_symbolainfix @!aidentityV19aVar_symbolVainfix @!V2V14Aainfix =ainfix @!arename_subst_symbolV1aidentityV14ainfix @!arename_subst_symbolV2aidentityV14Aainfix =CaVar_symbolainfix @!aidentityV20aVar_symbolVainfix @!V1V14ainfix @!arename_subst_symbolV1aidentityV14Iais_symbol_free_var_in_fo_formulaV14V5FIainfix =ainfix @!V8V21ainfix @!V7V21Iais_fo_term_free_var_in_fo_formulaV21V5FAainfix =ainfix @!V10V22ainfix @!V9V22Iais_symbol_free_var_in_fo_formulaV22V5FIainfix =asubst_fo_formulaV5V10V8asubst_fo_formulaV5V9V7Larename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityLarename_subst_fo_termV4aidentityaidentityaFOFConsVVV0Iainfix =asubst_fo_formula_listV0V1V3asubst_fo_formula_listV0V2V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_derive_equivalence_of_subst_fo_formula_list"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.17"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula_list.6"
- locfile="../Firstorder_formula_list_spec.mlw"
- loclnum="592" loccnumb="16" loccnume="68"
- expl="6. variant decrease"
- sum="1a469e12d317bd801759ef6dcf468770"
- proved="true"
- expanded="false"
- shape="variant decreaseCtaFOFNilainfix <asize_fo_formula_listV6asize_fo_formula_listV0Aainfix <=c0asize_fo_formula_listV0Larename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityLarename_subst_fo_termV4aidentityaidentityIainfix =ainfix @!V3V15ainfix @!V4V15Iais_fo_term_free_var_in_fo_formulaV15V5FAainfix =ainfix @!V3V16ainfix @!V4V16Aainfix =arename_fo_termarename_fo_termainfix @!V4V16aidentityaidentityaidentityaidentityainfix @!V4V16Aainfix =arename_fo_termarename_fo_termainfix @!V3V16aidentityaidentityaidentityaidentityarename_fo_termarename_fo_termainfix @!V4V16aidentityaidentityaidentityaidentityAainfix =ainfix @!V3V16arename_fo_termarename_fo_termainfix @!V3V16aidentityaidentityaidentityaidentityAainfix =ainfix @!arename_subst_fo_termV4aidentityaidentityV16arename_fo_termainfix @!V4V16aidentityaidentityAainfix =ainfix @!arename_subst_fo_termV3aidentityaidentityV16ainfix @!arename_subst_fo_termV4aidentityaidentityV16Aainfix =arename_fo_termainfix @!V3V16aidentityaidentityainfix @!arename_subst_fo_termV3aidentityaidentityV16Iais_fo_term_free_var_in_fo_formulaV16V5FIainfix =ainfix @!V1V17ainfix @!V2V17Iais_symbol_free_var_in_fo_formulaV17V5FAainfix =ainfix @!V1V18ainfix @!V2V18Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV19aVar_symbolVainfix @!V2V18ainfix @!V2V18Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV20aVar_symbolVainfix @!V1V18CaVar_symbolainfix @!aidentityainfix @!aidentityV21aVar_symbolVainfix @!V2V18Aainfix =ainfix @!V1V18CaVar_symbolainfix @!aidentityainfix @!aidentityV22aVar_symbolVainfix @!V1V18Aainfix =ainfix @!arename_subst_symbolV2aidentityV18CaVar_symbolainfix @!aidentityV23aVar_symbolVainfix @!V2V18Aainfix =ainfix @!arename_subst_symbolV1aidentityV18ainfix @!arename_subst_symbolV2aidentityV18Aainfix =CaVar_symbolainfix @!aidentityV24aVar_symbolVainfix @!V1V18ainfix @!arename_subst_symbolV1aidentityV18Iais_symbol_free_var_in_fo_formulaV18V5FIainfix =ainfix @!V8V25ainfix @!V7V25Iais_fo_term_free_var_in_fo_formulaV25V5FAainfix =ainfix @!V10V26ainfix @!V9V26Iais_symbol_free_var_in_fo_formulaV26V5FIainfix =asubst_fo_formulaV5V10V8asubst_fo_formulaV5V9V7Larename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityLarename_subst_fo_termV4aidentityaidentityaFOFConsVVV0Iainfix =asubst_fo_formula_listV0V1V3asubst_fo_formula_listV0V2V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_derive_equivalence_of_subst_fo_formula_list"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.08"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula_list.7"
- locfile="../Firstorder_formula_list_spec.mlw"
- loclnum="592" loccnumb="16" loccnume="68"
- expl="7. precondition"
- sum="71d8f3633a394fc3f6595d1f48792985"
- proved="true"
- expanded="false"
- shape="preconditionCtaFOFNilainfix =asubst_fo_formula_listV6V14V12asubst_fo_formula_listV6V13V11Larename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityLarename_subst_fo_termV4aidentityaidentityIainfix =ainfix @!V3V15ainfix @!V4V15Iais_fo_term_free_var_in_fo_formulaV15V5FAainfix =ainfix @!V3V16ainfix @!V4V16Aainfix =arename_fo_termarename_fo_termainfix @!V4V16aidentityaidentityaidentityaidentityainfix @!V4V16Aainfix =arename_fo_termarename_fo_termainfix @!V3V16aidentityaidentityaidentityaidentityarename_fo_termarename_fo_termainfix @!V4V16aidentityaidentityaidentityaidentityAainfix =ainfix @!V3V16arename_fo_termarename_fo_termainfix @!V3V16aidentityaidentityaidentityaidentityAainfix =ainfix @!arename_subst_fo_termV4aidentityaidentityV16arename_fo_termainfix @!V4V16aidentityaidentityAainfix =ainfix @!arename_subst_fo_termV3aidentityaidentityV16ainfix @!arename_subst_fo_termV4aidentityaidentityV16Aainfix =arename_fo_termainfix @!V3V16aidentityaidentityainfix @!arename_subst_fo_termV3aidentityaidentityV16Iais_fo_term_free_var_in_fo_formulaV16V5FIainfix =ainfix @!V1V17ainfix @!V2V17Iais_symbol_free_var_in_fo_formulaV17V5FAainfix =ainfix @!V1V18ainfix @!V2V18Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV19aVar_symbolVainfix @!V2V18ainfix @!V2V18Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV20aVar_symbolVainfix @!V1V18CaVar_symbolainfix @!aidentityainfix @!aidentityV21aVar_symbolVainfix @!V2V18Aainfix =ainfix @!V1V18CaVar_symbolainfix @!aidentityainfix @!aidentityV22aVar_symbolVainfix @!V1V18Aainfix =ainfix @!arename_subst_symbolV2aidentityV18CaVar_symbolainfix @!aidentityV23aVar_symbolVainfix @!V2V18Aainfix =ainfix @!arename_subst_symbolV1aidentityV18ainfix @!arename_subst_symbolV2aidentityV18Aainfix =CaVar_symbolainfix @!aidentityV24aVar_symbolVainfix @!V1V18ainfix @!arename_subst_symbolV1aidentityV18Iais_symbol_free_var_in_fo_formulaV18V5FIainfix =ainfix @!V8V25ainfix @!V7V25Iais_fo_term_free_var_in_fo_formulaV25V5FAainfix =ainfix @!V10V26ainfix @!V9V26Iais_symbol_free_var_in_fo_formulaV26V5FIainfix =asubst_fo_formulaV5V10V8asubst_fo_formulaV5V9V7Larename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityLarename_subst_fo_termV4aidentityaidentityaFOFConsVVV0Iainfix =asubst_fo_formula_listV0V1V3asubst_fo_formula_listV0V2V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_derive_equivalence_of_subst_fo_formula_list"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.15"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula_list.8"
- locfile="../Firstorder_formula_list_spec.mlw"
- loclnum="592" loccnumb="16" loccnume="68"
- expl="8. assertion"
- sum="dc7e36fe5d0f3bbd32241a16a6ee5fee"
- proved="true"
- expanded="false"
- shape="assertionCtaFOFNilainfix =ainfix @!V1V15ainfix @!V2V15Iais_symbol_free_var_in_fo_formula_listV15V6FAainfix =ainfix @!V1V16ainfix @!V2V16Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV17aVar_symbolVainfix @!V2V16ainfix @!V2V16Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV18aVar_symbolVainfix @!V1V16CaVar_symbolainfix @!aidentityainfix @!aidentityV19aVar_symbolVainfix @!V2V16Aainfix =ainfix @!V1V16CaVar_symbolainfix @!aidentityainfix @!aidentityV20aVar_symbolVainfix @!V1V16Aainfix =ainfix @!arename_subst_symbolV2aidentityV16CaVar_symbolainfix @!aidentityV21aVar_symbolVainfix @!V2V16Aainfix =ainfix @!arename_subst_symbolV1aidentityV16ainfix @!arename_subst_symbolV2aidentityV16Aainfix =CaVar_symbolainfix @!aidentityV22aVar_symbolVainfix @!V1V16ainfix @!arename_subst_symbolV1aidentityV16Iais_symbol_free_var_in_fo_formula_listV16V6FIainfix =ainfix @!V12V23ainfix @!V11V23Iais_fo_term_free_var_in_fo_formula_listV23V6FAainfix =ainfix @!V14V24ainfix @!V13V24Iais_symbol_free_var_in_fo_formula_listV24V6FIainfix =asubst_fo_formula_listV6V14V12asubst_fo_formula_listV6V13V11Larename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityLarename_subst_fo_termV4aidentityaidentityIainfix =ainfix @!V3V25ainfix @!V4V25Iais_fo_term_free_var_in_fo_formulaV25V5FAainfix =ainfix @!V3V26ainfix @!V4V26Aainfix =arename_fo_termarename_fo_termainfix @!V4V26aidentityaidentityaidentityaidentityainfix @!V4V26Aainfix =arename_fo_termarename_fo_termainfix @!V3V26aidentityaidentityaidentityaidentityarename_fo_termarename_fo_termainfix @!V4V26aidentityaidentityaidentityaidentityAainfix =ainfix @!V3V26arename_fo_termarename_fo_termainfix @!V3V26aidentityaidentityaidentityaidentityAainfix =ainfix @!arename_subst_fo_termV4aidentityaidentityV26arename_fo_termainfix @!V4V26aidentityaidentityAainfix =ainfix @!arename_subst_fo_termV3aidentityaidentityV26ainfix @!arename_subst_fo_termV4aidentityaidentityV26Aainfix =arename_fo_termainfix @!V3V26aidentityaidentityainfix @!arename_subst_fo_termV3aidentityaidentityV26Iais_fo_term_free_var_in_fo_formulaV26V5FIainfix =ainfix @!V1V27ainfix @!V2V27Iais_symbol_free_var_in_fo_formulaV27V5FAainfix =ainfix @!V1V28ainfix @!V2V28Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV29aVar_symbolVainfix @!V2V28ainfix @!V2V28Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV30aVar_symbolVainfix @!V1V28CaVar_symbolainfix @!aidentityainfix @!aidentityV31aVar_symbolVainfix @!V2V28Aainfix =ainfix @!V1V28CaVar_symbolainfix @!aidentityainfix @!aidentityV32aVar_symbolVainfix @!V1V28Aainfix =ainfix @!arename_subst_symbolV2aidentityV28CaVar_symbolainfix @!aidentityV33aVar_symbolVainfix @!V2V28Aainfix =ainfix @!arename_subst_symbolV1aidentityV28ainfix @!arename_subst_symbolV2aidentityV28Aainfix =CaVar_symbolainfix @!aidentityV34aVar_symbolVainfix @!V1V28ainfix @!arename_subst_symbolV1aidentityV28Iais_symbol_free_var_in_fo_formulaV28V5FIainfix =ainfix @!V8V35ainfix @!V7V35Iais_fo_term_free_var_in_fo_formulaV35V5FAainfix =ainfix @!V10V36ainfix @!V9V36Iais_symbol_free_var_in_fo_formulaV36V5FIainfix =asubst_fo_formulaV5V10V8asubst_fo_formulaV5V9V7Larename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityLarename_subst_fo_termV4aidentityaidentityaFOFConsVVV0Iainfix =asubst_fo_formula_listV0V1V3asubst_fo_formula_listV0V2V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_derive_equivalence_of_subst_fo_formula_list"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.20"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula_list.9"
- locfile="../Firstorder_formula_list_spec.mlw"
- loclnum="592" loccnumb="16" loccnume="68"
- expl="9. assertion"
- sum="31018c59926d71398839d76063d9ef92"
- proved="true"
- expanded="false"
- shape="assertionCtaFOFNilainfix =ainfix @!V3V15ainfix @!V4V15Iais_fo_term_free_var_in_fo_formula_listV15V6FAainfix =ainfix @!V3V16ainfix @!V4V16Aainfix =arename_fo_termarename_fo_termainfix @!V4V16aidentityaidentityaidentityaidentityainfix @!V4V16Aainfix =arename_fo_termarename_fo_termainfix @!V3V16aidentityaidentityaidentityaidentityarename_fo_termarename_fo_termainfix @!V4V16aidentityaidentityaidentityaidentityAainfix =ainfix @!V3V16arename_fo_termarename_fo_termainfix @!V3V16aidentityaidentityaidentityaidentityAainfix =ainfix @!arename_subst_fo_termV4aidentityaidentityV16arename_fo_termainfix @!V4V16aidentityaidentityAainfix =ainfix @!arename_subst_fo_termV3aidentityaidentityV16ainfix @!arename_subst_fo_termV4aidentityaidentityV16Aainfix =arename_fo_termainfix @!V3V16aidentityaidentityainfix @!arename_subst_fo_termV3aidentityaidentityV16Iais_fo_term_free_var_in_fo_formula_listV16V6FIainfix =ainfix @!V1V17ainfix @!V2V17Iais_symbol_free_var_in_fo_formula_listV17V6FAainfix =ainfix @!V1V18ainfix @!V2V18Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV19aVar_symbolVainfix @!V2V18ainfix @!V2V18Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV20aVar_symbolVainfix @!V1V18CaVar_symbolainfix @!aidentityainfix @!aidentityV21aVar_symbolVainfix @!V2V18Aainfix =ainfix @!V1V18CaVar_symbolainfix @!aidentityainfix @!aidentityV22aVar_symbolVainfix @!V1V18Aainfix =ainfix @!arename_subst_symbolV2aidentityV18CaVar_symbolainfix @!aidentityV23aVar_symbolVainfix @!V2V18Aainfix =ainfix @!arename_subst_symbolV1aidentityV18ainfix @!arename_subst_symbolV2aidentityV18Aainfix =CaVar_symbolainfix @!aidentityV24aVar_symbolVainfix @!V1V18ainfix @!arename_subst_symbolV1aidentityV18Iais_symbol_free_var_in_fo_formula_listV18V6FIainfix =ainfix @!V12V25ainfix @!V11V25Iais_fo_term_free_var_in_fo_formula_listV25V6FAainfix =ainfix @!V14V26ainfix @!V13V26Iais_symbol_free_var_in_fo_formula_listV26V6FIainfix =asubst_fo_formula_listV6V14V12asubst_fo_formula_listV6V13V11Larename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityLarename_subst_fo_termV4aidentityaidentityIainfix =ainfix @!V3V27ainfix @!V4V27Iais_fo_term_free_var_in_fo_formulaV27V5FAainfix =ainfix @!V3V28ainfix @!V4V28Aainfix =arename_fo_termarename_fo_termainfix @!V4V28aidentityaidentityaidentityaidentityainfix @!V4V28Aainfix =arename_fo_termarename_fo_termainfix @!V3V28aidentityaidentityaidentityaidentityarename_fo_termarename_fo_termainfix @!V4V28aidentityaidentityaidentityaidentityAainfix =ainfix @!V3V28arename_fo_termarename_fo_termainfix @!V3V28aidentityaidentityaidentityaidentityAainfix =ainfix @!arename_subst_fo_termV4aidentityaidentityV28arename_fo_termainfix @!V4V28aidentityaidentityAainfix =ainfix @!arename_subst_fo_termV3aidentityaidentityV28ainfix @!arename_subst_fo_termV4aidentityaidentityV28Aainfix =arename_fo_termainfix @!V3V28aidentityaidentityainfix @!arename_subst_fo_termV3aidentityaidentityV28Iais_fo_term_free_var_in_fo_formulaV28V5FIainfix =ainfix @!V1V29ainfix @!V2V29Iais_symbol_free_var_in_fo_formulaV29V5FAainfix =ainfix @!V1V30ainfix @!V2V30Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV31aVar_symbolVainfix @!V2V30ainfix @!V2V30Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV32aVar_symbolVainfix @!V1V30CaVar_symbolainfix @!aidentityainfix @!aidentityV33aVar_symbolVainfix @!V2V30Aainfix =ainfix @!V1V30CaVar_symbolainfix @!aidentityainfix @!aidentityV34aVar_symbolVainfix @!V1V30Aainfix =ainfix @!arename_subst_symbolV2aidentityV30CaVar_symbolainfix @!aidentityV35aVar_symbolVainfix @!V2V30Aainfix =ainfix @!arename_subst_symbolV1aidentityV30ainfix @!arename_subst_symbolV2aidentityV30Aainfix =CaVar_symbolainfix @!aidentityV36aVar_symbolVainfix @!V1V30ainfix @!arename_subst_symbolV1aidentityV30Iais_symbol_free_var_in_fo_formulaV30V5FIainfix =ainfix @!V8V37ainfix @!V7V37Iais_fo_term_free_var_in_fo_formulaV37V5FAainfix =ainfix @!V10V38ainfix @!V9V38Iais_symbol_free_var_in_fo_formulaV38V5FIainfix =asubst_fo_formulaV5V10V8asubst_fo_formulaV5V9V7Larename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityLarename_subst_fo_termV4aidentityaidentityaFOFConsVVV0Iainfix =asubst_fo_formula_listV0V1V3asubst_fo_formula_listV0V2V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_derive_equivalence_of_subst_fo_formula_list"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.18"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula_list.10"
- locfile="../Firstorder_formula_list_spec.mlw"
- loclnum="592" loccnumb="16" loccnume="68"
- expl="10. postcondition"
- sum="cf42ff2f1c447965cf82372d9189e1d1"
- proved="true"
- expanded="false"
- shape="postconditionCtaFOFNilainfix =ainfix @!V1V15ainfix @!V2V15Iais_symbol_free_var_in_fo_formula_listV15V0FIainfix =ainfix @!V3V16ainfix @!V4V16Iais_fo_term_free_var_in_fo_formula_listV16V6FAainfix =ainfix @!V3V17ainfix @!V4V17Aainfix =arename_fo_termarename_fo_termainfix @!V4V17aidentityaidentityaidentityaidentityainfix @!V4V17Aainfix =arename_fo_termarename_fo_termainfix @!V3V17aidentityaidentityaidentityaidentityarename_fo_termarename_fo_termainfix @!V4V17aidentityaidentityaidentityaidentityAainfix =ainfix @!V3V17arename_fo_termarename_fo_termainfix @!V3V17aidentityaidentityaidentityaidentityAainfix =ainfix @!arename_subst_fo_termV4aidentityaidentityV17arename_fo_termainfix @!V4V17aidentityaidentityAainfix =ainfix @!arename_subst_fo_termV3aidentityaidentityV17ainfix @!arename_subst_fo_termV4aidentityaidentityV17Aainfix =arename_fo_termainfix @!V3V17aidentityaidentityainfix @!arename_subst_fo_termV3aidentityaidentityV17Iais_fo_term_free_var_in_fo_formula_listV17V6FIainfix =ainfix @!V1V18ainfix @!V2V18Iais_symbol_free_var_in_fo_formula_listV18V6FAainfix =ainfix @!V1V19ainfix @!V2V19Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV20aVar_symbolVainfix @!V2V19ainfix @!V2V19Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV21aVar_symbolVainfix @!V1V19CaVar_symbolainfix @!aidentityainfix @!aidentityV22aVar_symbolVainfix @!V2V19Aainfix =ainfix @!V1V19CaVar_symbolainfix @!aidentityainfix @!aidentityV23aVar_symbolVainfix @!V1V19Aainfix =ainfix @!arename_subst_symbolV2aidentityV19CaVar_symbolainfix @!aidentityV24aVar_symbolVainfix @!V2V19Aainfix =ainfix @!arename_subst_symbolV1aidentityV19ainfix @!arename_subst_symbolV2aidentityV19Aainfix =CaVar_symbolainfix @!aidentityV25aVar_symbolVainfix @!V1V19ainfix @!arename_subst_symbolV1aidentityV19Iais_symbol_free_var_in_fo_formula_listV19V6FIainfix =ainfix @!V12V26ainfix @!V11V26Iais_fo_term_free_var_in_fo_formula_listV26V6FAainfix =ainfix @!V14V27ainfix @!V13V27Iais_symbol_free_var_in_fo_formula_listV27V6FIainfix =asubst_fo_formula_listV6V14V12asubst_fo_formula_listV6V13V11Larename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityLarename_subst_fo_termV4aidentityaidentityIainfix =ainfix @!V3V28ainfix @!V4V28Iais_fo_term_free_var_in_fo_formulaV28V5FAainfix =ainfix @!V3V29ainfix @!V4V29Aainfix =arename_fo_termarename_fo_termainfix @!V4V29aidentityaidentityaidentityaidentityainfix @!V4V29Aainfix =arename_fo_termarename_fo_termainfix @!V3V29aidentityaidentityaidentityaidentityarename_fo_termarename_fo_termainfix @!V4V29aidentityaidentityaidentityaidentityAainfix =ainfix @!V3V29arename_fo_termarename_fo_termainfix @!V3V29aidentityaidentityaidentityaidentityAainfix =ainfix @!arename_subst_fo_termV4aidentityaidentityV29arename_fo_termainfix @!V4V29aidentityaidentityAainfix =ainfix @!arename_subst_fo_termV3aidentityaidentityV29ainfix @!arename_subst_fo_termV4aidentityaidentityV29Aainfix =arename_fo_termainfix @!V3V29aidentityaidentityainfix @!arename_subst_fo_termV3aidentityaidentityV29Iais_fo_term_free_var_in_fo_formulaV29V5FIainfix =ainfix @!V1V30ainfix @!V2V30Iais_symbol_free_var_in_fo_formulaV30V5FAainfix =ainfix @!V1V31ainfix @!V2V31Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV32aVar_symbolVainfix @!V2V31ainfix @!V2V31Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV33aVar_symbolVainfix @!V1V31CaVar_symbolainfix @!aidentityainfix @!aidentityV34aVar_symbolVainfix @!V2V31Aainfix =ainfix @!V1V31CaVar_symbolainfix @!aidentityainfix @!aidentityV35aVar_symbolVainfix @!V1V31Aainfix =ainfix @!arename_subst_symbolV2aidentityV31CaVar_symbolainfix @!aidentityV36aVar_symbolVainfix @!V2V31Aainfix =ainfix @!arename_subst_symbolV1aidentityV31ainfix @!arename_subst_symbolV2aidentityV31Aainfix =CaVar_symbolainfix @!aidentityV37aVar_symbolVainfix @!V1V31ainfix @!arename_subst_symbolV1aidentityV31Iais_symbol_free_var_in_fo_formulaV31V5FIainfix =ainfix @!V8V38ainfix @!V7V38Iais_fo_term_free_var_in_fo_formulaV38V5FAainfix =ainfix @!V10V39ainfix @!V9V39Iais_symbol_free_var_in_fo_formulaV39V5FIainfix =asubst_fo_formulaV5V10V8asubst_fo_formulaV5V9V7Larename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityLarename_subst_fo_termV4aidentityaidentityaFOFConsVVV0Iainfix =asubst_fo_formula_listV0V1V3asubst_fo_formula_listV0V2V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_derive_equivalence_of_subst_fo_formula_list"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.09"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula_list.11"
- locfile="../Firstorder_formula_list_spec.mlw"
- loclnum="592" loccnumb="16" loccnume="68"
- expl="11. postcondition"
- sum="e1015e9bceb8118bb62981824bf8de3b"
- proved="true"
- expanded="false"
- shape="postconditionCtaFOFNilainfix =ainfix @!V3V15ainfix @!V4V15Iais_fo_term_free_var_in_fo_formula_listV15V0FIainfix =ainfix @!V3V16ainfix @!V4V16Iais_fo_term_free_var_in_fo_formula_listV16V6FAainfix =ainfix @!V3V17ainfix @!V4V17Aainfix =arename_fo_termarename_fo_termainfix @!V4V17aidentityaidentityaidentityaidentityainfix @!V4V17Aainfix =arename_fo_termarename_fo_termainfix @!V3V17aidentityaidentityaidentityaidentityarename_fo_termarename_fo_termainfix @!V4V17aidentityaidentityaidentityaidentityAainfix =ainfix @!V3V17arename_fo_termarename_fo_termainfix @!V3V17aidentityaidentityaidentityaidentityAainfix =ainfix @!arename_subst_fo_termV4aidentityaidentityV17arename_fo_termainfix @!V4V17aidentityaidentityAainfix =ainfix @!arename_subst_fo_termV3aidentityaidentityV17ainfix @!arename_subst_fo_termV4aidentityaidentityV17Aainfix =arename_fo_termainfix @!V3V17aidentityaidentityainfix @!arename_subst_fo_termV3aidentityaidentityV17Iais_fo_term_free_var_in_fo_formula_listV17V6FIainfix =ainfix @!V1V18ainfix @!V2V18Iais_symbol_free_var_in_fo_formula_listV18V6FAainfix =ainfix @!V1V19ainfix @!V2V19Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV20aVar_symbolVainfix @!V2V19ainfix @!V2V19Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV21aVar_symbolVainfix @!V1V19CaVar_symbolainfix @!aidentityainfix @!aidentityV22aVar_symbolVainfix @!V2V19Aainfix =ainfix @!V1V19CaVar_symbolainfix @!aidentityainfix @!aidentityV23aVar_symbolVainfix @!V1V19Aainfix =ainfix @!arename_subst_symbolV2aidentityV19CaVar_symbolainfix @!aidentityV24aVar_symbolVainfix @!V2V19Aainfix =ainfix @!arename_subst_symbolV1aidentityV19ainfix @!arename_subst_symbolV2aidentityV19Aainfix =CaVar_symbolainfix @!aidentityV25aVar_symbolVainfix @!V1V19ainfix @!arename_subst_symbolV1aidentityV19Iais_symbol_free_var_in_fo_formula_listV19V6FIainfix =ainfix @!V12V26ainfix @!V11V26Iais_fo_term_free_var_in_fo_formula_listV26V6FAainfix =ainfix @!V14V27ainfix @!V13V27Iais_symbol_free_var_in_fo_formula_listV27V6FIainfix =asubst_fo_formula_listV6V14V12asubst_fo_formula_listV6V13V11Larename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityLarename_subst_fo_termV4aidentityaidentityIainfix =ainfix @!V3V28ainfix @!V4V28Iais_fo_term_free_var_in_fo_formulaV28V5FAainfix =ainfix @!V3V29ainfix @!V4V29Aainfix =arename_fo_termarename_fo_termainfix @!V4V29aidentityaidentityaidentityaidentityainfix @!V4V29Aainfix =arename_fo_termarename_fo_termainfix @!V3V29aidentityaidentityaidentityaidentityarename_fo_termarename_fo_termainfix @!V4V29aidentityaidentityaidentityaidentityAainfix =ainfix @!V3V29arename_fo_termarename_fo_termainfix @!V3V29aidentityaidentityaidentityaidentityAainfix =ainfix @!arename_subst_fo_termV4aidentityaidentityV29arename_fo_termainfix @!V4V29aidentityaidentityAainfix =ainfix @!arename_subst_fo_termV3aidentityaidentityV29ainfix @!arename_subst_fo_termV4aidentityaidentityV29Aainfix =arename_fo_termainfix @!V3V29aidentityaidentityainfix @!arename_subst_fo_termV3aidentityaidentityV29Iais_fo_term_free_var_in_fo_formulaV29V5FIainfix =ainfix @!V1V30ainfix @!V2V30Iais_symbol_free_var_in_fo_formulaV30V5FAainfix =ainfix @!V1V31ainfix @!V2V31Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV32aVar_symbolVainfix @!V2V31ainfix @!V2V31Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV33aVar_symbolVainfix @!V1V31CaVar_symbolainfix @!aidentityainfix @!aidentityV34aVar_symbolVainfix @!V2V31Aainfix =ainfix @!V1V31CaVar_symbolainfix @!aidentityainfix @!aidentityV35aVar_symbolVainfix @!V1V31Aainfix =ainfix @!arename_subst_symbolV2aidentityV31CaVar_symbolainfix @!aidentityV36aVar_symbolVainfix @!V2V31Aainfix =ainfix @!arename_subst_symbolV1aidentityV31ainfix @!arename_subst_symbolV2aidentityV31Aainfix =CaVar_symbolainfix @!aidentityV37aVar_symbolVainfix @!V1V31ainfix @!arename_subst_symbolV1aidentityV31Iais_symbol_free_var_in_fo_formulaV31V5FIainfix =ainfix @!V8V38ainfix @!V7V38Iais_fo_term_free_var_in_fo_formulaV38V5FAainfix =ainfix @!V10V39ainfix @!V9V39Iais_symbol_free_var_in_fo_formulaV39V5FIainfix =asubst_fo_formulaV5V10V8asubst_fo_formulaV5V9V7Larename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityLarename_subst_fo_termV4aidentityaidentityaFOFConsVVV0Iainfix =asubst_fo_formula_listV0V1V3asubst_fo_formula_listV0V2V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_derive_equivalence_of_subst_fo_formula_list"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.10"/>
- </proof>
- </goal>
- </transf>
- </goal>
- <goal
- name="WP_parameter free_var_derive_equivalence_of_rename_fo_formula_list"
- locfile="../Firstorder_formula_list_spec.mlw"
- loclnum="682" loccnumb="12" loccnume="65"
- expl="VC for free_var_derive_equivalence_of_rename_fo_formula_list"
- sum="46729bffac6c9c7faa2cb6a107d7bac3"
- proved="true"
- expanded="false"
- shape="ainfix =ainfix @!V3V9ainfix @!V4V9Iais_fo_term_free_var_in_fo_formula_listV9V0FAainfix =ainfix @!V1V10ainfix @!V2V10Iais_symbol_free_var_in_fo_formula_listV10V0FAainfix =ainfix @!V3V11ainfix @!V4V11Aainfix =ainfix @!V3V11ainfix @!V4V11Iainfix =ainfix @!asubst_of_rename_fo_termV3V11ainfix @!asubst_of_rename_fo_termV4V11FAainfix =ainfix @!V1V12ainfix @!V2V12Aainfix =ainfix @!V1V12ainfix @!V2V12Iainfix =ainfix @!asubst_of_rename_symbolV1V12ainfix @!asubst_of_rename_symbolV2V12FIainfix =ainfix @!V6V13ainfix @!V5V13Iais_fo_term_free_var_in_fo_formula_listV13V0FAainfix =ainfix @!V8V14ainfix @!V7V14Iais_symbol_free_var_in_fo_formula_listV14V0FAainfix =asubst_fo_formula_listV0V8V6asubst_fo_formula_listV0V7V5Lasubst_of_rename_symbolV1Lasubst_of_rename_symbolV2Lasubst_of_rename_fo_termV3Lasubst_of_rename_fo_termV4Iainfix =arename_fo_formula_listV0V1V3arename_fo_formula_listV0V2V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_derive_equivalence_of_rename_fo_formula_list"/>
- <transf
- name="split_goal_wp"
- proved="true"
- expanded="false">
- <goal
- name="WP_parameter free_var_derive_equivalence_of_rename_fo_formula_list.1"
- locfile="../Firstorder_formula_list_spec.mlw"
- loclnum="682" loccnumb="12" loccnume="65"
- expl="1. precondition"
- sum="2d4ba4be25529250dd7b5bf648e0b4db"
- proved="true"
- expanded="false"
- shape="preconditionainfix =asubst_fo_formula_listV0V8V6asubst_fo_formula_listV0V7V5Lasubst_of_rename_symbolV1Lasubst_of_rename_symbolV2Lasubst_of_rename_fo_termV3Lasubst_of_rename_fo_termV4Iainfix =arename_fo_formula_listV0V1V3arename_fo_formula_listV0V2V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_derive_equivalence_of_rename_fo_formula_list"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.08"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter free_var_derive_equivalence_of_rename_fo_formula_list.2"
- locfile="../Firstorder_formula_list_spec.mlw"
- loclnum="682" loccnumb="12" loccnume="65"
- expl="2. assertion"
- sum="3b7f81a79af59b91b6656843ec782228"
- proved="true"
- expanded="false"
- shape="assertionainfix =ainfix @!V1V9ainfix @!V2V9Aainfix =ainfix @!V1V9ainfix @!V2V9Iainfix =ainfix @!asubst_of_rename_symbolV1V9ainfix @!asubst_of_rename_symbolV2V9FIainfix =ainfix @!V6V10ainfix @!V5V10Iais_fo_term_free_var_in_fo_formula_listV10V0FAainfix =ainfix @!V8V11ainfix @!V7V11Iais_symbol_free_var_in_fo_formula_listV11V0FIainfix =asubst_fo_formula_listV0V8V6asubst_fo_formula_listV0V7V5Lasubst_of_rename_symbolV1Lasubst_of_rename_symbolV2Lasubst_of_rename_fo_termV3Lasubst_of_rename_fo_termV4Iainfix =arename_fo_formula_listV0V1V3arename_fo_formula_listV0V2V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_derive_equivalence_of_rename_fo_formula_list"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.09"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter free_var_derive_equivalence_of_rename_fo_formula_list.3"
- locfile="../Firstorder_formula_list_spec.mlw"
- loclnum="682" loccnumb="12" loccnume="65"
- expl="3. assertion"
- sum="1687bcf8ecb535203a0ebe91d130fea9"
- proved="true"
- expanded="false"
- shape="assertionainfix =ainfix @!V3V9ainfix @!V4V9Aainfix =ainfix @!V3V9ainfix @!V4V9Iainfix =ainfix @!asubst_of_rename_fo_termV3V9ainfix @!asubst_of_rename_fo_termV4V9FIainfix =ainfix @!V1V10ainfix @!V2V10Aainfix =ainfix @!V1V10ainfix @!V2V10Iainfix =ainfix @!asubst_of_rename_symbolV1V10ainfix @!asubst_of_rename_symbolV2V10FIainfix =ainfix @!V6V11ainfix @!V5V11Iais_fo_term_free_var_in_fo_formula_listV11V0FAainfix =ainfix @!V8V12ainfix @!V7V12Iais_symbol_free_var_in_fo_formula_listV12V0FIainfix =asubst_fo_formula_listV0V8V6asubst_fo_formula_listV0V7V5Lasubst_of_rename_symbolV1Lasubst_of_rename_symbolV2Lasubst_of_rename_fo_termV3Lasubst_of_rename_fo_termV4Iainfix =arename_fo_formula_listV0V1V3arename_fo_formula_listV0V2V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_derive_equivalence_of_rename_fo_formula_list"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.10"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter free_var_derive_equivalence_of_rename_fo_formula_list.4"
- locfile="../Firstorder_formula_list_spec.mlw"
- loclnum="682" loccnumb="12" loccnume="65"
- expl="4. postcondition"
- sum="34adeb3d9b657b52657f69c5fb03a6d0"
- proved="true"
- expanded="false"
- shape="postconditionainfix =ainfix @!V1V9ainfix @!V2V9Iais_symbol_free_var_in_fo_formula_listV9V0FIainfix =ainfix @!V3V10ainfix @!V4V10Aainfix =ainfix @!V3V10ainfix @!V4V10Iainfix =ainfix @!asubst_of_rename_fo_termV3V10ainfix @!asubst_of_rename_fo_termV4V10FIainfix =ainfix @!V1V11ainfix @!V2V11Aainfix =ainfix @!V1V11ainfix @!V2V11Iainfix =ainfix @!asubst_of_rename_symbolV1V11ainfix @!asubst_of_rename_symbolV2V11FIainfix =ainfix @!V6V12ainfix @!V5V12Iais_fo_term_free_var_in_fo_formula_listV12V0FAainfix =ainfix @!V8V13ainfix @!V7V13Iais_symbol_free_var_in_fo_formula_listV13V0FIainfix =asubst_fo_formula_listV0V8V6asubst_fo_formula_listV0V7V5Lasubst_of_rename_symbolV1Lasubst_of_rename_symbolV2Lasubst_of_rename_fo_termV3Lasubst_of_rename_fo_termV4Iainfix =arename_fo_formula_listV0V1V3arename_fo_formula_listV0V2V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_derive_equivalence_of_rename_fo_formula_list"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="timeout" time="4.16"/>
- </proof>
- <proof
- prover="1"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.80"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter free_var_derive_equivalence_of_rename_fo_formula_list.5"
- locfile="../Firstorder_formula_list_spec.mlw"
- loclnum="682" loccnumb="12" loccnume="65"
- expl="5. postcondition"
- sum="d6746c8dbab4b93310c9d329eacc8b8c"
- proved="true"
- expanded="false"
- shape="postconditionainfix =ainfix @!V3V9ainfix @!V4V9Iais_fo_term_free_var_in_fo_formula_listV9V0FIainfix =ainfix @!V3V10ainfix @!V4V10Aainfix =ainfix @!V3V10ainfix @!V4V10Iainfix =ainfix @!asubst_of_rename_fo_termV3V10ainfix @!asubst_of_rename_fo_termV4V10FIainfix =ainfix @!V1V11ainfix @!V2V11Aainfix =ainfix @!V1V11ainfix @!V2V11Iainfix =ainfix @!asubst_of_rename_symbolV1V11ainfix @!asubst_of_rename_symbolV2V11FIainfix =ainfix @!V6V12ainfix @!V5V12Iais_fo_term_free_var_in_fo_formula_listV12V0FAainfix =ainfix @!V8V13ainfix @!V7V13Iais_symbol_free_var_in_fo_formula_listV13V0FIainfix =asubst_fo_formula_listV0V8V6asubst_fo_formula_listV0V7V5Lasubst_of_rename_symbolV1Lasubst_of_rename_symbolV2Lasubst_of_rename_fo_termV3Lasubst_of_rename_fo_termV4Iainfix =arename_fo_formula_listV0V1V3arename_fo_formula_listV0V2V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_derive_equivalence_of_rename_fo_formula_list"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="timeout" time="3.90"/>
- </proof>
- <proof
- prover="1"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.80"/>
- </proof>
- </goal>
- </transf>
- </goal>
- </theory>
- </file>
+<!DOCTYPE why3session PUBLIC "-//Why3//proof session v5//EN"
+"http://why3.lri.fr/why3session.dtd">
+<why3session shape_version="4">
+<prover id="2" name="Alt-Ergo" version="0.99.1" timelimit="5" memlimit="1000"/>
+<prover id="3" name="CVC4" version="1.4" timelimit="5" memlimit="1000"/>
+<file name="../Firstorder_formula_list_spec.mlw" expanded="true">
+<theory name="Spec" sum="95246be42438773cb85bab6d78509d88" expanded="true">
+ <goal name="WP_parameter size_positive_lemma_fo_formula_list" expl="VC for size_positive_lemma_fo_formula_list">
+ <proof prover="2" timelimit="1"><result status="valid" time="0.10" steps="63"/></proof>
+ </goal>
+ <goal name="WP_parameter renaming_composition_lemma_fo_formula_list" expl="VC for renaming_composition_lemma_fo_formula_list">
+ <proof prover="2" timelimit="1"><result status="valid" time="0.07" steps="70"/></proof>
+ </goal>
+ <goal name="WP_parameter renaming_identity_lemma_fo_formula_list" expl="VC for renaming_identity_lemma_fo_formula_list">
+ <proof prover="2" timelimit="1"><result status="valid" time="0.07" steps="52"/></proof>
+ </goal>
+ <goal name="WP_parameter rename_then_subst_composition_lemma_fo_formula_list" expl="VC for rename_then_subst_composition_lemma_fo_formula_list">
+ <proof prover="2" timelimit="1"><result status="valid" time="0.22" steps="154"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_then_rename_composition_lemma_fo_formula_list" expl="VC for subst_then_rename_composition_lemma_fo_formula_list">
+ <proof prover="2" timelimit="1"><result status="valid" time="0.24" steps="191"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_composition_lemma_fo_formula_list" expl="VC for subst_composition_lemma_fo_formula_list">
+ <transf name="split_goal_wp">
+ <goal name="WP_parameter subst_composition_lemma_fo_formula_list.1" expl="1. postcondition">
+ <proof prover="2"><result status="valid" time="0.06" steps="7"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_composition_lemma_fo_formula_list.2" expl="2. variant decrease">
+ <proof prover="2"><result status="valid" time="0.06" steps="10"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_composition_lemma_fo_formula_list.3" expl="3. postcondition">
+ <proof prover="2"><result status="valid" time="0.07" steps="43"/></proof>
+ </goal>
+ </transf>
+ </goal>
+ <goal name="WP_parameter subst_identity_lemma_fo_formula_list" expl="VC for subst_identity_lemma_fo_formula_list">
+ <proof prover="2" timelimit="1"><result status="valid" time="0.11" steps="86"/></proof>
+ </goal>
+ <goal name="WP_parameter renaming_preserve_size_fo_formula_list" expl="VC for renaming_preserve_size_fo_formula_list">
+ <proof prover="2" timelimit="1"><result status="valid" time="0.07" steps="52"/></proof>
+ </goal>
+ <goal name="WP_parameter rename_free_var_constructive_inversion_symbol_fo_formula_list" expl="VC for rename_free_var_constructive_inversion_symbol_fo_formula_list">
+ <proof prover="2"><result status="valid" time="0.12" steps="135"/></proof>
+ </goal>
+ <goal name="WP_parameter rename_free_var_inversion_symbol_fo_formula_list" expl="VC for rename_free_var_inversion_symbol_fo_formula_list">
+ <proof prover="2"><result status="valid" time="0.08" steps="9"/></proof>
+ </goal>
+ <goal name="WP_parameter rename_free_var_constructive_inversion_fo_term_fo_formula_list" expl="VC for rename_free_var_constructive_inversion_fo_term_fo_formula_list">
+ <proof prover="2" timelimit="1"><result status="valid" time="0.09" steps="135"/></proof>
+ </goal>
+ <goal name="WP_parameter rename_free_var_inversion_fo_term_fo_formula_list" expl="VC for rename_free_var_inversion_fo_term_fo_formula_list">
+ <proof prover="2" timelimit="1"><result status="valid" time="0.06" steps="9"/></proof>
+ </goal>
+ <goal name="WP_parameter rename_free_var_propagation_symbol_fo_formula_list" expl="VC for rename_free_var_propagation_symbol_fo_formula_list">
+ <proof prover="2"><result status="valid" time="0.14" steps="160"/></proof>
+ </goal>
+ <goal name="WP_parameter rename_free_var_propagation_fo_term_fo_formula_list" expl="VC for rename_free_var_propagation_fo_term_fo_formula_list">
+ <proof prover="2" timelimit="1"><result status="valid" time="0.11" steps="160"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula_list" expl="VC for subst_free_var_constructive_inversion_symbol_fo_formula_list">
+ <proof prover="2"><result status="valid" time="0.36" steps="679"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_free_var_inversion_symbol_fo_formula_list" expl="VC for subst_free_var_inversion_symbol_fo_formula_list">
+ <proof prover="2"><result status="valid" time="0.09" steps="57"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_free_var_constructive_inversion_fo_term_fo_formula_list" expl="VC for subst_free_var_constructive_inversion_fo_term_fo_formula_list">
+ <proof prover="2" timelimit="1"><result status="valid" time="0.28" steps="386"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_free_var_inversion_fo_term_fo_formula_list" expl="VC for subst_free_var_inversion_fo_term_fo_formula_list">
+ <proof prover="2" timelimit="1"><result status="valid" time="0.07" steps="9"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_free_var_propagation_symbol_symbol_fo_formula_list" expl="VC for subst_free_var_propagation_symbol_symbol_fo_formula_list">
+ <proof prover="2"><result status="valid" time="0.60" steps="1036"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_free_var_propagation_fo_term_symbol_fo_formula_list" expl="VC for subst_free_var_propagation_fo_term_symbol_fo_formula_list">
+ <proof prover="2"><result status="valid" time="1.11" steps="652"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_free_var_propagation_fo_term_fo_term_fo_formula_list" expl="VC for subst_free_var_propagation_fo_term_fo_term_fo_formula_list">
+ <transf name="split_goal_wp">
+ <goal name="WP_parameter subst_free_var_propagation_fo_term_fo_term_fo_formula_list.1" expl="1. postcondition">
+ <proof prover="2" timelimit="1"><result status="valid" time="0.05" steps="12"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_free_var_propagation_fo_term_fo_term_fo_formula_list.2" expl="2. assertion">
+ <proof prover="2" timelimit="1"><result status="valid" time="0.04" steps="7"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_free_var_propagation_fo_term_fo_term_fo_formula_list.3" expl="3. variant decrease">
+ <proof prover="2" timelimit="1"><result status="valid" time="0.05" steps="11"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_free_var_propagation_fo_term_fo_term_fo_formula_list.4" expl="4. assertion">
+ <proof prover="2" timelimit="1"><result status="valid" time="0.05" steps="7"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_free_var_propagation_fo_term_fo_term_fo_formula_list.5" expl="5. postcondition">
+ <proof prover="2" timelimit="1"><result status="valid" time="0.06" steps="134"/></proof>
+ </goal>
+ </transf>
+ </goal>
+ <goal name="WP_parameter free_var_equivalence_of_subst_fo_formula_list" expl="VC for free_var_equivalence_of_subst_fo_formula_list">
+ <proof prover="2" timelimit="1"><result status="valid" time="0.24" steps="411"/></proof>
+ </goal>
+ <goal name="WP_parameter free_var_equivalence_of_rename_fo_formula_list" expl="VC for free_var_equivalence_of_rename_fo_formula_list">
+ <proof prover="2" timelimit="1"><result status="valid" time="0.08" steps="231"/></proof>
+ </goal>
+ <goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula_list" expl="VC for free_var_derive_equivalence_of_subst_fo_formula_list">
+ <transf name="split_goal_wp">
+ <goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula_list.1" expl="1. postcondition">
+ <proof prover="2"><result status="valid" time="0.09" steps="7"/></proof>
+ </goal>
+ <goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula_list.2" expl="2. postcondition">
+ <proof prover="2"><result status="valid" time="0.10" steps="7"/></proof>
+ </goal>
+ <goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula_list.3" expl="3. precondition">
+ <proof prover="2"><result status="valid" time="0.75" steps="132"/></proof>
+ </goal>
+ <goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula_list.4" expl="4. assertion">
+ <proof prover="2"><result status="valid" time="0.18" steps="154"/></proof>
+ </goal>
+ <goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula_list.5" expl="5. assertion">
+ <proof prover="2"><result status="valid" time="0.17" steps="135"/></proof>
+ </goal>
+ <goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula_list.6" expl="6. variant decrease">
+ <proof prover="2"><result status="valid" time="0.08" steps="11"/></proof>
+ </goal>
+ <goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula_list.7" expl="7. precondition">
+ <proof prover="2"><result status="valid" time="0.15" steps="71"/></proof>
+ </goal>
+ <goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula_list.8" expl="8. assertion">
+ <proof prover="2"><result status="valid" time="0.20" steps="159"/></proof>
+ </goal>
+ <goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula_list.9" expl="9. assertion">
+ <proof prover="2"><result status="valid" time="0.18" steps="138"/></proof>
+ </goal>
+ <goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula_list.10" expl="10. postcondition">
+ <proof prover="2"><result status="valid" time="0.09" steps="37"/></proof>
+ </goal>
+ <goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula_list.11" expl="11. postcondition">
+ <proof prover="2"><result status="valid" time="0.10" steps="37"/></proof>
+ </goal>
+ </transf>
+ </goal>
+ <goal name="WP_parameter free_var_derive_equivalence_of_rename_fo_formula_list" expl="VC for free_var_derive_equivalence_of_rename_fo_formula_list">
+ <transf name="split_goal_wp">
+ <goal name="WP_parameter free_var_derive_equivalence_of_rename_fo_formula_list.1" expl="1. precondition">
+ <proof prover="2"><result status="valid" time="0.08" steps="6"/></proof>
+ </goal>
+ <goal name="WP_parameter free_var_derive_equivalence_of_rename_fo_formula_list.2" expl="2. assertion">
+ <proof prover="2"><result status="valid" time="0.09" steps="25"/></proof>
+ </goal>
+ <goal name="WP_parameter free_var_derive_equivalence_of_rename_fo_formula_list.3" expl="3. assertion">
+ <proof prover="2"><result status="valid" time="0.10" steps="45"/></proof>
+ </goal>
+ <goal name="WP_parameter free_var_derive_equivalence_of_rename_fo_formula_list.4" expl="4. postcondition">
+ <proof prover="3"><result status="valid" time="1.57"/></proof>
+ </goal>
+ <goal name="WP_parameter free_var_derive_equivalence_of_rename_fo_formula_list.5" expl="5. postcondition">
+ <proof prover="3"><result status="valid" time="1.59"/></proof>
+ </goal>
+ </transf>
+ </goal>
+</theory>
+</file>
</why3session>
diff --git a/examples/in_progress/prover/Firstorder_formula_list_spec/why3shapes.gz b/examples/in_progress/prover/Firstorder_formula_list_spec/why3shapes.gz
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diff --git a/examples/in_progress/prover/Firstorder_formula_spec/why3session.xml b/examples/in_progress/prover/Firstorder_formula_spec/why3session.xml
index 2a1ad9d2f7..76f3ea25d8 100644
--- a/examples/in_progress/prover/Firstorder_formula_spec/why3session.xml
+++ b/examples/in_progress/prover/Firstorder_formula_spec/why3session.xml
@@ -3,243 +3,211 @@
"http://why3.lri.fr/why3session.dtd">
<why3session shape_version="4">
<prover id="0" name="Alt-Ergo" version="0.95.1" timelimit="1" memlimit="1000"/>
-<prover id="1" name="CVC3" version="2.4.1" timelimit="5" memlimit="1000"/>
-<prover id="3" name="Eprover" version="1.6" timelimit="1" memlimit="1000"/>
+<prover id="1" name="CVC3" version="2.4.1" timelimit="60" memlimit="1000"/>
<prover id="4" name="Spass" version="3.5" timelimit="5" memlimit="1000"/>
-<prover id="5" name="Vampire" version="0.6" timelimit="1" memlimit="1000"/>
-<prover id="6" name="Z3" version="4.3.1" timelimit="5" memlimit="1000"/>
<prover id="7" name="Alt-Ergo" version="0.99.1" timelimit="1" memlimit="1000"/>
<prover id="8" name="CVC4" version="1.4" timelimit="5" memlimit="1000"/>
<prover id="9" name="Spass" version="3.7" timelimit="5" memlimit="1000"/>
-<prover id="10" name="Eprover" version="1.8-001" timelimit="5" memlimit="1000"/>
-<prover id="11" name="Z3" version="4.3.2" timelimit="5" memlimit="1000"/>
<prover id="12" name="CVC4" version="1.3" timelimit="5" memlimit="1000"/>
<file name="../Firstorder_formula_spec.mlw" expanded="true">
<theory name="Spec" sum="4857f02a96ecf8176280696915c1691c" expanded="true">
<goal name="WP_parameter size_positive_lemma_fo_formula" expl="VC for size_positive_lemma_fo_formula">
- <proof prover="0" obsolete="true"><result status="valid" time="0.37"/></proof>
+ <proof prover="0"><result status="valid" time="0.37"/></proof>
<proof prover="7"><result status="valid" time="0.19" steps="461"/></proof>
</goal>
<goal name="WP_parameter renaming_composition_lemma_fo_formula" expl="VC for renaming_composition_lemma_fo_formula">
- <proof prover="0" obsolete="true"><result status="valid" time="0.38"/></proof>
+ <proof prover="0"><result status="valid" time="0.38"/></proof>
<proof prover="7"><result status="valid" time="0.17" steps="546"/></proof>
</goal>
<goal name="WP_parameter renaming_identity_lemma_fo_formula" expl="VC for renaming_identity_lemma_fo_formula">
- <proof prover="0" obsolete="true"><result status="valid" time="0.24"/></proof>
+ <proof prover="0"><result status="valid" time="0.24"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="189"/></proof>
</goal>
<goal name="WP_parameter rename_then_subst_composition_lemma_fo_formula" expl="VC for rename_then_subst_composition_lemma_fo_formula">
- <proof prover="0" obsolete="true"><result status="timeout" time="0.99"/></proof>
<transf name="split_goal_wp">
<goal name="WP_parameter rename_then_subst_composition_lemma_fo_formula.1" expl="1. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.08"/></proof>
+ <proof prover="0"><result status="valid" time="0.08"/></proof>
<proof prover="7"><result status="valid" time="0.08" steps="10"/></proof>
</goal>
<goal name="WP_parameter rename_then_subst_composition_lemma_fo_formula.2" expl="2. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.16"/></proof>
+ <proof prover="0"><result status="valid" time="0.16"/></proof>
<proof prover="7"><result status="valid" time="0.16" steps="86"/></proof>
</goal>
<goal name="WP_parameter rename_then_subst_composition_lemma_fo_formula.3" expl="3. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="10"/></proof>
</goal>
<goal name="WP_parameter rename_then_subst_composition_lemma_fo_formula.4" expl="4. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.17"/></proof>
+ <proof prover="0"><result status="valid" time="0.17"/></proof>
<proof prover="7"><result status="valid" time="0.05" steps="84"/></proof>
</goal>
<goal name="WP_parameter rename_then_subst_composition_lemma_fo_formula.5" expl="5. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="12"/></proof>
</goal>
<goal name="WP_parameter rename_then_subst_composition_lemma_fo_formula.6" expl="6. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="13"/></proof>
</goal>
<goal name="WP_parameter rename_then_subst_composition_lemma_fo_formula.7" expl="7. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="23"/></proof>
</goal>
<goal name="WP_parameter rename_then_subst_composition_lemma_fo_formula.8" expl="8. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="12"/></proof>
</goal>
<goal name="WP_parameter rename_then_subst_composition_lemma_fo_formula.9" expl="9. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="13"/></proof>
</goal>
<goal name="WP_parameter rename_then_subst_composition_lemma_fo_formula.10" expl="10. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="23"/></proof>
</goal>
<goal name="WP_parameter rename_then_subst_composition_lemma_fo_formula.11" expl="11. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.07"/></proof>
+ <proof prover="0"><result status="valid" time="0.07"/></proof>
<proof prover="7"><result status="valid" time="0.07" steps="8"/></proof>
</goal>
<goal name="WP_parameter rename_then_subst_composition_lemma_fo_formula.12" expl="12. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="27"/></proof>
</goal>
<goal name="WP_parameter rename_then_subst_composition_lemma_fo_formula.13" expl="13. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="7"/></proof>
</goal>
<goal name="WP_parameter rename_then_subst_composition_lemma_fo_formula.14" expl="14. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="7"/></proof>
</goal>
<goal name="WP_parameter rename_then_subst_composition_lemma_fo_formula.15" expl="15. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.20"/></proof>
+ <proof prover="0"><result status="valid" time="0.20"/></proof>
<proof prover="7"><result status="valid" time="0.07" steps="81"/></proof>
</goal>
</transf>
</goal>
- <goal name="WP_parameter subst_then_rename_composition_lemma_fo_formula" expl="VC for subst_then_rename_composition_lemma_fo_formula" expanded="true">
- <proof prover="0" obsolete="true"><result status="timeout" time="0.97"/></proof>
- <transf name="split_goal_wp" expanded="true">
+ <goal name="WP_parameter subst_then_rename_composition_lemma_fo_formula" expl="VC for subst_then_rename_composition_lemma_fo_formula">
+ <transf name="split_goal_wp">
<goal name="WP_parameter subst_then_rename_composition_lemma_fo_formula.1" expl="1. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="10"/></proof>
</goal>
- <goal name="WP_parameter subst_then_rename_composition_lemma_fo_formula.2" expl="2. postcondition" expanded="true">
- <proof prover="0" timelimit="5" obsolete="true"><result status="timeout" time="5.01"/></proof>
- <proof prover="1"><result status="timeout" time="4.98"/></proof>
- <proof prover="3" obsolete="true"><result status="timeout" time="0.99"/></proof>
- <proof prover="4" timelimit="1" obsolete="true"><result status="timeout" time="1.04"/></proof>
- <proof prover="5" obsolete="true"><result status="unknown" time="0.97"/></proof>
- <proof prover="6"><result status="timeout" time="4.99"/></proof>
- <proof prover="7" timelimit="5"><result status="timeout" time="4.95"/></proof>
- <proof prover="8"><result status="timeout" time="5.98"/></proof>
- <proof prover="9"><result status="timeout" time="5.01"/></proof>
- <proof prover="10"><result status="timeout" time="4.99"/></proof>
- <proof prover="11"><result status="timeout" time="5.00"/></proof>
- <proof prover="12"><result status="timeout" time="4.99"/></proof>
+ <goal name="WP_parameter subst_then_rename_composition_lemma_fo_formula.2" expl="2. postcondition">
+ <proof prover="1"><result status="valid" time="0.85"/></proof>
+ <proof prover="8" timelimit="60"><result status="valid" time="1.07"/></proof>
</goal>
<goal name="WP_parameter subst_then_rename_composition_lemma_fo_formula.3" expl="3. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="10"/></proof>
</goal>
- <goal name="WP_parameter subst_then_rename_composition_lemma_fo_formula.4" expl="4. postcondition" expanded="true">
- <proof prover="0" obsolete="true"><result status="timeout" time="0.66"/></proof>
- <proof prover="1"><result status="timeout" time="4.99"/></proof>
- <proof prover="6"><result status="timeout" time="4.99"/></proof>
- <proof prover="7" timelimit="5"><result status="timeout" time="5.00"/></proof>
- <proof prover="8"><result status="timeout" time="5.99"/></proof>
- <proof prover="9"><result status="timeout" time="5.01"/></proof>
- <proof prover="10"><result status="timeout" time="4.98"/></proof>
- <proof prover="11"><result status="timeout" time="4.99"/></proof>
- <proof prover="12"><result status="timeout" time="4.98"/></proof>
+ <goal name="WP_parameter subst_then_rename_composition_lemma_fo_formula.4" expl="4. postcondition">
+ <proof prover="1" timelimit="5"><result status="valid" time="1.30"/></proof>
+ <proof prover="8"><result status="valid" time="1.29"/></proof>
</goal>
<goal name="WP_parameter subst_then_rename_composition_lemma_fo_formula.5" expl="5. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="12"/></proof>
</goal>
<goal name="WP_parameter subst_then_rename_composition_lemma_fo_formula.6" expl="6. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="13"/></proof>
</goal>
<goal name="WP_parameter subst_then_rename_composition_lemma_fo_formula.7" expl="7. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="34"/></proof>
</goal>
<goal name="WP_parameter subst_then_rename_composition_lemma_fo_formula.8" expl="8. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="12"/></proof>
</goal>
<goal name="WP_parameter subst_then_rename_composition_lemma_fo_formula.9" expl="9. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.11"/></proof>
+ <proof prover="0"><result status="valid" time="0.11"/></proof>
<proof prover="7"><result status="valid" time="0.11" steps="13"/></proof>
</goal>
<goal name="WP_parameter subst_then_rename_composition_lemma_fo_formula.10" expl="10. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.11"/></proof>
+ <proof prover="0"><result status="valid" time="0.11"/></proof>
<proof prover="7"><result status="valid" time="0.11" steps="34"/></proof>
</goal>
<goal name="WP_parameter subst_then_rename_composition_lemma_fo_formula.11" expl="11. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.08"/></proof>
+ <proof prover="0"><result status="valid" time="0.08"/></proof>
<proof prover="7"><result status="valid" time="0.08" steps="8"/></proof>
</goal>
- <goal name="WP_parameter subst_then_rename_composition_lemma_fo_formula.12" expl="12. postcondition" expanded="true">
- <proof prover="0" obsolete="true"><result status="timeout" time="1.00"/></proof>
- <proof prover="1"><result status="timeout" time="4.99"/></proof>
- <proof prover="4" obsolete="true"><result status="valid" time="0.46"/></proof>
- <proof prover="6"><result status="timeout" time="4.99"/></proof>
- <proof prover="7" timelimit="5"><result status="timeout" time="5.00"/></proof>
- <proof prover="8"><result status="timeout" time="5.12"/></proof>
- <proof prover="9"><result status="timeout" time="5.01"/></proof>
- <proof prover="11"><result status="timeout" time="5.00"/></proof>
+ <goal name="WP_parameter subst_then_rename_composition_lemma_fo_formula.12" expl="12. postcondition">
+ <proof prover="4"><result status="valid" time="0.46"/></proof>
</goal>
<goal name="WP_parameter subst_then_rename_composition_lemma_fo_formula.13" expl="13. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="7"/></proof>
</goal>
<goal name="WP_parameter subst_then_rename_composition_lemma_fo_formula.14" expl="14. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="7"/></proof>
</goal>
<goal name="WP_parameter subst_then_rename_composition_lemma_fo_formula.15" expl="15. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.11"/></proof>
+ <proof prover="0"><result status="valid" time="0.11"/></proof>
<proof prover="7"><result status="valid" time="0.11" steps="43"/></proof>
</goal>
</transf>
</goal>
<goal name="WP_parameter subst_composition_lemma_fo_formula" expl="VC for subst_composition_lemma_fo_formula">
- <proof prover="0" obsolete="true"><result status="timeout" time="1.01"/></proof>
<transf name="split_goal_wp">
<goal name="WP_parameter subst_composition_lemma_fo_formula.1" expl="1. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="10"/></proof>
</goal>
<goal name="WP_parameter subst_composition_lemma_fo_formula.2" expl="2. postcondition">
<proof prover="7" timelimit="5"><result status="valid" time="0.09" steps="150"/></proof>
</goal>
<goal name="WP_parameter subst_composition_lemma_fo_formula.3" expl="3. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="10"/></proof>
</goal>
<goal name="WP_parameter subst_composition_lemma_fo_formula.4" expl="4. postcondition">
<proof prover="7" timelimit="5"><result status="valid" time="0.10" steps="145"/></proof>
</goal>
<goal name="WP_parameter subst_composition_lemma_fo_formula.5" expl="5. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="12"/></proof>
</goal>
<goal name="WP_parameter subst_composition_lemma_fo_formula.6" expl="6. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.08"/></proof>
+ <proof prover="0"><result status="valid" time="0.08"/></proof>
<proof prover="7"><result status="valid" time="0.08" steps="13"/></proof>
</goal>
<goal name="WP_parameter subst_composition_lemma_fo_formula.7" expl="7. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="45"/></proof>
</goal>
<goal name="WP_parameter subst_composition_lemma_fo_formula.8" expl="8. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="12"/></proof>
</goal>
<goal name="WP_parameter subst_composition_lemma_fo_formula.9" expl="9. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="13"/></proof>
</goal>
<goal name="WP_parameter subst_composition_lemma_fo_formula.10" expl="10. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="45"/></proof>
</goal>
<goal name="WP_parameter subst_composition_lemma_fo_formula.11" expl="11. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.08"/></proof>
+ <proof prover="0"><result status="valid" time="0.08"/></proof>
<proof prover="7"><result status="valid" time="0.08" steps="8"/></proof>
</goal>
<goal name="WP_parameter subst_composition_lemma_fo_formula.12" expl="12. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="49"/></proof>
</goal>
<goal name="WP_parameter subst_composition_lemma_fo_formula.13" expl="13. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="7"/></proof>
</goal>
<goal name="WP_parameter subst_composition_lemma_fo_formula.14" expl="14. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.08"/></proof>
+ <proof prover="0"><result status="valid" time="0.08"/></proof>
<proof prover="7"><result status="valid" time="0.08" steps="7"/></proof>
</goal>
<goal name="WP_parameter subst_composition_lemma_fo_formula.15" expl="15. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="44"/></proof>
</goal>
</transf>
@@ -294,1443 +262,1429 @@
</transf>
</goal>
<goal name="WP_parameter renaming_preserve_size_fo_formula" expl="VC for renaming_preserve_size_fo_formula">
- <proof prover="0" obsolete="true"><result status="valid" time="0.46"/></proof>
+ <proof prover="0"><result status="valid" time="0.46"/></proof>
<proof prover="7"><result status="valid" time="0.31" steps="480"/></proof>
</goal>
<goal name="WP_parameter rename_free_var_constructive_inversion_symbol_fo_formula" expl="VC for rename_free_var_constructive_inversion_symbol_fo_formula">
- <proof prover="0" obsolete="true"><result status="valid" time="0.74"/></proof>
+ <proof prover="0"><result status="valid" time="0.74"/></proof>
<proof prover="7"><result status="valid" time="0.46" steps="1091"/></proof>
</goal>
<goal name="WP_parameter rename_free_var_inversion_symbol_fo_formula" expl="VC for rename_free_var_inversion_symbol_fo_formula">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="14"/></proof>
</goal>
<goal name="WP_parameter rename_free_var_constructive_inversion_fo_term_fo_formula" expl="VC for rename_free_var_constructive_inversion_fo_term_fo_formula">
- <proof prover="0" obsolete="true"><result status="valid" time="0.79"/></proof>
+ <proof prover="0"><result status="valid" time="0.79"/></proof>
<proof prover="7"><result status="valid" time="0.52" steps="1190"/></proof>
</goal>
<goal name="WP_parameter rename_free_var_inversion_fo_term_fo_formula" expl="VC for rename_free_var_inversion_fo_term_fo_formula">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="14"/></proof>
</goal>
<goal name="WP_parameter rename_free_var_propagation_symbol_fo_formula" expl="VC for rename_free_var_propagation_symbol_fo_formula">
- <proof prover="0" obsolete="true"><result status="timeout" time="0.97"/></proof>
<transf name="split_goal_wp">
<goal name="WP_parameter rename_free_var_propagation_symbol_fo_formula.1" expl="1. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="10"/></proof>
</goal>
<goal name="WP_parameter rename_free_var_propagation_symbol_fo_formula.2" expl="2. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.12"/></proof>
+ <proof prover="0"><result status="valid" time="0.12"/></proof>
<proof prover="7"><result status="valid" time="0.12" steps="60"/></proof>
</goal>
<goal name="WP_parameter rename_free_var_propagation_symbol_fo_formula.3" expl="3. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="10"/></proof>
</goal>
<goal name="WP_parameter rename_free_var_propagation_symbol_fo_formula.4" expl="4. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.13"/></proof>
+ <proof prover="0"><result status="valid" time="0.13"/></proof>
<proof prover="7"><result status="valid" time="0.13" steps="60"/></proof>
</goal>
<goal name="WP_parameter rename_free_var_propagation_symbol_fo_formula.5" expl="5. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="12"/></proof>
</goal>
<goal name="WP_parameter rename_free_var_propagation_symbol_fo_formula.6" expl="6. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="13"/></proof>
</goal>
<goal name="WP_parameter rename_free_var_propagation_symbol_fo_formula.7" expl="7. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.14"/></proof>
+ <proof prover="0"><result status="valid" time="0.14"/></proof>
<proof prover="7"><result status="valid" time="0.14" steps="106"/></proof>
</goal>
<goal name="WP_parameter rename_free_var_propagation_symbol_fo_formula.8" expl="8. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="12"/></proof>
</goal>
<goal name="WP_parameter rename_free_var_propagation_symbol_fo_formula.9" expl="9. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="13"/></proof>
</goal>
<goal name="WP_parameter rename_free_var_propagation_symbol_fo_formula.10" expl="10. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.12"/></proof>
+ <proof prover="0"><result status="valid" time="0.12"/></proof>
<proof prover="7"><result status="valid" time="0.12" steps="106"/></proof>
</goal>
<goal name="WP_parameter rename_free_var_propagation_symbol_fo_formula.11" expl="11. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="8"/></proof>
</goal>
<goal name="WP_parameter rename_free_var_propagation_symbol_fo_formula.12" expl="12. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="56"/></proof>
</goal>
<goal name="WP_parameter rename_free_var_propagation_symbol_fo_formula.13" expl="13. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.08"/></proof>
+ <proof prover="0"><result status="valid" time="0.08"/></proof>
<proof prover="7"><result status="valid" time="0.08" steps="23"/></proof>
</goal>
<goal name="WP_parameter rename_free_var_propagation_symbol_fo_formula.14" expl="14. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="23"/></proof>
</goal>
<goal name="WP_parameter rename_free_var_propagation_symbol_fo_formula.15" expl="15. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.16"/></proof>
+ <proof prover="0"><result status="valid" time="0.16"/></proof>
<proof prover="7"><result status="valid" time="0.16" steps="167"/></proof>
</goal>
</transf>
</goal>
<goal name="WP_parameter rename_free_var_propagation_fo_term_fo_formula" expl="VC for rename_free_var_propagation_fo_term_fo_formula">
- <proof prover="0" obsolete="true"><result status="timeout" time="0.93"/></proof>
<transf name="split_goal_wp">
<goal name="WP_parameter rename_free_var_propagation_fo_term_fo_formula.1" expl="1. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="10"/></proof>
</goal>
<goal name="WP_parameter rename_free_var_propagation_fo_term_fo_formula.2" expl="2. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.12"/></proof>
+ <proof prover="0"><result status="valid" time="0.12"/></proof>
<proof prover="7"><result status="valid" time="0.12" steps="68"/></proof>
</goal>
<goal name="WP_parameter rename_free_var_propagation_fo_term_fo_formula.3" expl="3. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="10"/></proof>
</goal>
<goal name="WP_parameter rename_free_var_propagation_fo_term_fo_formula.4" expl="4. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.11"/></proof>
+ <proof prover="0"><result status="valid" time="0.11"/></proof>
<proof prover="7"><result status="valid" time="0.11" steps="68"/></proof>
</goal>
<goal name="WP_parameter rename_free_var_propagation_fo_term_fo_formula.5" expl="5. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.11"/></proof>
+ <proof prover="0"><result status="valid" time="0.11"/></proof>
<proof prover="7"><result status="valid" time="0.11" steps="12"/></proof>
</goal>
<goal name="WP_parameter rename_free_var_propagation_fo_term_fo_formula.6" expl="6. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.08"/></proof>
+ <proof prover="0"><result status="valid" time="0.08"/></proof>
<proof prover="7"><result status="valid" time="0.08" steps="13"/></proof>
</goal>
<goal name="WP_parameter rename_free_var_propagation_fo_term_fo_formula.7" expl="7. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.13"/></proof>
+ <proof prover="0"><result status="valid" time="0.13"/></proof>
<proof prover="7"><result status="valid" time="0.13" steps="106"/></proof>
</goal>
<goal name="WP_parameter rename_free_var_propagation_fo_term_fo_formula.8" expl="8. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.08"/></proof>
+ <proof prover="0"><result status="valid" time="0.08"/></proof>
<proof prover="7"><result status="valid" time="0.08" steps="12"/></proof>
</goal>
<goal name="WP_parameter rename_free_var_propagation_fo_term_fo_formula.9" expl="9. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.08"/></proof>
+ <proof prover="0"><result status="valid" time="0.08"/></proof>
<proof prover="7"><result status="valid" time="0.08" steps="13"/></proof>
</goal>
<goal name="WP_parameter rename_free_var_propagation_fo_term_fo_formula.10" expl="10. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.13"/></proof>
+ <proof prover="0"><result status="valid" time="0.13"/></proof>
<proof prover="7"><result status="valid" time="0.13" steps="106"/></proof>
</goal>
<goal name="WP_parameter rename_free_var_propagation_fo_term_fo_formula.11" expl="11. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="8"/></proof>
</goal>
<goal name="WP_parameter rename_free_var_propagation_fo_term_fo_formula.12" expl="12. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.11"/></proof>
+ <proof prover="0"><result status="valid" time="0.11"/></proof>
<proof prover="7"><result status="valid" time="0.11" steps="56"/></proof>
</goal>
<goal name="WP_parameter rename_free_var_propagation_fo_term_fo_formula.13" expl="13. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="23"/></proof>
</goal>
<goal name="WP_parameter rename_free_var_propagation_fo_term_fo_formula.14" expl="14. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="23"/></proof>
</goal>
<goal name="WP_parameter rename_free_var_propagation_fo_term_fo_formula.15" expl="15. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.12"/></proof>
+ <proof prover="0"><result status="valid" time="0.12"/></proof>
<proof prover="7"><result status="valid" time="0.12" steps="66"/></proof>
</goal>
</transf>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula" expl="VC for subst_free_var_constructive_inversion_symbol_fo_formula">
- <proof prover="0" obsolete="true"><result status="timeout" time="0.98"/></proof>
<transf name="split_goal_wp">
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.1" expl="1. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="12"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.2" expl="2. precondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.07"/></proof>
+ <proof prover="0"><result status="valid" time="0.07"/></proof>
<proof prover="7"><result status="valid" time="0.07" steps="6"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.3" expl="3. precondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.12"/></proof>
+ <proof prover="0"><result status="valid" time="0.12"/></proof>
<proof prover="7"><result status="valid" time="0.12" steps="53"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.4" expl="4. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="59"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.5" expl="5. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="63"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.6" expl="6. unreachable point">
- <proof prover="0" obsolete="true"><result status="valid" time="0.20"/></proof>
+ <proof prover="0"><result status="valid" time="0.20"/></proof>
<proof prover="7"><result status="valid" time="0.20" steps="174"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.7" expl="7. precondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.14"/></proof>
+ <proof prover="0"><result status="valid" time="0.14"/></proof>
<proof prover="7"><result status="valid" time="0.14" steps="170"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.8" expl="8. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.11"/></proof>
+ <proof prover="0"><result status="valid" time="0.11"/></proof>
<proof prover="7"><result status="valid" time="0.11" steps="58"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.9" expl="9. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="58"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.10" expl="10. unreachable point">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="24"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.11" expl="11. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="12"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.12" expl="12. precondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="6"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.13" expl="13. precondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.11"/></proof>
+ <proof prover="0"><result status="valid" time="0.11"/></proof>
<proof prover="7"><result status="valid" time="0.11" steps="53"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.14" expl="14. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.11"/></proof>
+ <proof prover="0"><result status="valid" time="0.11"/></proof>
<proof prover="7"><result status="valid" time="0.11" steps="59"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.15" expl="15. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.12"/></proof>
+ <proof prover="0"><result status="valid" time="0.12"/></proof>
<proof prover="7"><result status="valid" time="0.12" steps="63"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.16" expl="16. unreachable point">
- <proof prover="0" obsolete="true"><result status="valid" time="0.20"/></proof>
+ <proof prover="0"><result status="valid" time="0.20"/></proof>
<proof prover="7"><result status="valid" time="0.20" steps="174"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.17" expl="17. precondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.13"/></proof>
+ <proof prover="0"><result status="valid" time="0.13"/></proof>
<proof prover="7"><result status="valid" time="0.13" steps="170"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.18" expl="18. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.12"/></proof>
+ <proof prover="0"><result status="valid" time="0.12"/></proof>
<proof prover="7"><result status="valid" time="0.12" steps="58"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.19" expl="19. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.11"/></proof>
+ <proof prover="0"><result status="valid" time="0.11"/></proof>
<proof prover="7"><result status="valid" time="0.11" steps="58"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.20" expl="20. unreachable point">
- <proof prover="0" obsolete="true"><result status="valid" time="0.08"/></proof>
+ <proof prover="0"><result status="valid" time="0.08"/></proof>
<proof prover="7"><result status="valid" time="0.08" steps="24"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.21" expl="21. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.08"/></proof>
+ <proof prover="0"><result status="valid" time="0.08"/></proof>
<proof prover="7"><result status="valid" time="0.08" steps="14"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.22" expl="22. precondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.08"/></proof>
+ <proof prover="0"><result status="valid" time="0.08"/></proof>
<proof prover="7"><result status="valid" time="0.08" steps="6"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.23" expl="23. precondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.11"/></proof>
+ <proof prover="0"><result status="valid" time="0.11"/></proof>
<proof prover="7"><result status="valid" time="0.11" steps="53"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.24" expl="24. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="59"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.25" expl="25. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="62"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.26" expl="26. precondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.11"/></proof>
+ <proof prover="0"><result status="valid" time="0.11"/></proof>
<proof prover="7"><result status="valid" time="0.11" steps="54"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.27" expl="27. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.11"/></proof>
+ <proof prover="0"><result status="valid" time="0.11"/></proof>
<proof prover="7"><result status="valid" time="0.11" steps="55"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.28" expl="28. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="59"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.29" expl="29. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="15"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.30" expl="30. precondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.07"/></proof>
+ <proof prover="0"><result status="valid" time="0.07"/></proof>
<proof prover="7"><result status="valid" time="0.07" steps="7"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.31" expl="31. precondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.11"/></proof>
+ <proof prover="0"><result status="valid" time="0.11"/></proof>
<proof prover="7"><result status="valid" time="0.11" steps="58"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.32" expl="32. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="64"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.33" expl="33. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.12"/></proof>
+ <proof prover="0"><result status="valid" time="0.12"/></proof>
<proof prover="7"><result status="valid" time="0.12" steps="68"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.34" expl="34. precondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.11"/></proof>
+ <proof prover="0"><result status="valid" time="0.11"/></proof>
<proof prover="7"><result status="valid" time="0.11" steps="59"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.35" expl="35. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.12"/></proof>
+ <proof prover="0"><result status="valid" time="0.12"/></proof>
<proof prover="7"><result status="valid" time="0.12" steps="60"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.36" expl="36. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="65"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.37" expl="37. unreachable point">
- <proof prover="0" obsolete="true"><result status="valid" time="0.11"/></proof>
+ <proof prover="0"><result status="valid" time="0.11"/></proof>
<proof prover="7"><result status="valid" time="0.11" steps="84"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.38" expl="38. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="14"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.39" expl="39. precondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="6"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.40" expl="40. precondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.11"/></proof>
+ <proof prover="0"><result status="valid" time="0.11"/></proof>
<proof prover="7"><result status="valid" time="0.11" steps="53"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.41" expl="41. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.12"/></proof>
+ <proof prover="0"><result status="valid" time="0.12"/></proof>
<proof prover="7"><result status="valid" time="0.12" steps="59"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.42" expl="42. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.11"/></proof>
+ <proof prover="0"><result status="valid" time="0.11"/></proof>
<proof prover="7"><result status="valid" time="0.11" steps="62"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.43" expl="43. precondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.12"/></proof>
+ <proof prover="0"><result status="valid" time="0.12"/></proof>
<proof prover="7"><result status="valid" time="0.12" steps="54"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.44" expl="44. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="55"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.45" expl="45. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="59"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.46" expl="46. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="15"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.47" expl="47. precondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.08"/></proof>
+ <proof prover="0"><result status="valid" time="0.08"/></proof>
<proof prover="7"><result status="valid" time="0.08" steps="7"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.48" expl="48. precondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.11"/></proof>
+ <proof prover="0"><result status="valid" time="0.11"/></proof>
<proof prover="7"><result status="valid" time="0.11" steps="58"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.49" expl="49. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.12"/></proof>
+ <proof prover="0"><result status="valid" time="0.12"/></proof>
<proof prover="7"><result status="valid" time="0.12" steps="64"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.50" expl="50. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.12"/></proof>
+ <proof prover="0"><result status="valid" time="0.12"/></proof>
<proof prover="7"><result status="valid" time="0.12" steps="68"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.51" expl="51. precondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.11"/></proof>
+ <proof prover="0"><result status="valid" time="0.11"/></proof>
<proof prover="7"><result status="valid" time="0.11" steps="59"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.52" expl="52. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="60"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.53" expl="53. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.11"/></proof>
+ <proof prover="0"><result status="valid" time="0.11"/></proof>
<proof prover="7"><result status="valid" time="0.11" steps="65"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.54" expl="54. unreachable point">
- <proof prover="0" obsolete="true"><result status="valid" time="0.12"/></proof>
+ <proof prover="0"><result status="valid" time="0.12"/></proof>
<proof prover="7"><result status="valid" time="0.12" steps="84"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.55" expl="55. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="10"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.56" expl="56. precondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.07"/></proof>
+ <proof prover="0"><result status="valid" time="0.07"/></proof>
<proof prover="7"><result status="valid" time="0.07" steps="6"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.57" expl="57. precondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="47"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.58" expl="58. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="53"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.59" expl="59. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="56"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.60" expl="60. precondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="48"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.61" expl="61. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="49"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.62" expl="62. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="53"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.63" expl="63. unreachable point">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="21"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.64" expl="64. unreachable point">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="17"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.65" expl="65. unreachable point">
- <proof prover="0" obsolete="true"><result status="valid" time="0.11"/></proof>
+ <proof prover="0"><result status="valid" time="0.11"/></proof>
<proof prover="7"><result status="valid" time="0.11" steps="17"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.66" expl="66. precondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.08"/></proof>
+ <proof prover="0"><result status="valid" time="0.08"/></proof>
<proof prover="7"><result status="valid" time="0.08" steps="7"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.67" expl="67. precondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="24"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.68" expl="68. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="26"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.69" expl="69. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.08"/></proof>
+ <proof prover="0"><result status="valid" time="0.08"/></proof>
<proof prover="7"><result status="valid" time="0.08" steps="21"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.70" expl="70. precondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.08"/></proof>
+ <proof prover="0"><result status="valid" time="0.08"/></proof>
<proof prover="7"><result status="valid" time="0.08" steps="8"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.71" expl="71. precondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.11"/></proof>
+ <proof prover="0"><result status="valid" time="0.11"/></proof>
<proof prover="7"><result status="valid" time="0.11" steps="63"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.72" expl="72. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="69"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.73" expl="73. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="84"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.74" expl="74. precondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="64"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.75" expl="75. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.12"/></proof>
+ <proof prover="0"><result status="valid" time="0.12"/></proof>
<proof prover="7"><result status="valid" time="0.12" steps="65"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.76" expl="76. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.11"/></proof>
+ <proof prover="0"><result status="valid" time="0.11"/></proof>
<proof prover="7"><result status="valid" time="0.11" steps="69"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_formula.77" expl="77. unreachable point">
- <proof prover="0" obsolete="true"><result status="valid" time="0.69"/></proof>
+ <proof prover="0"><result status="valid" time="0.69"/></proof>
<proof prover="7"><result status="valid" time="0.17" steps="231"/></proof>
</goal>
</transf>
</goal>
<goal name="WP_parameter subst_free_var_inversion_symbol_fo_formula" expl="VC for subst_free_var_inversion_symbol_fo_formula">
- <proof prover="0" obsolete="true"><result status="valid" time="0.12"/></proof>
+ <proof prover="0"><result status="valid" time="0.12"/></proof>
<proof prover="7"><result status="valid" time="0.12" steps="75"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_fo_term_fo_formula" expl="VC for subst_free_var_constructive_inversion_fo_term_fo_formula">
- <proof prover="0" obsolete="true"><result status="timeout" time="1.00"/></proof>
<transf name="split_goal_wp">
<goal name="WP_parameter subst_free_var_constructive_inversion_fo_term_fo_formula.1" expl="1. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="12"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_fo_term_fo_formula.2" expl="2. precondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="6"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_fo_term_fo_formula.3" expl="3. unreachable point">
- <proof prover="0" obsolete="true"><result status="valid" time="0.29"/></proof>
+ <proof prover="0"><result status="valid" time="0.29"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="223"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_fo_term_fo_formula.4" expl="4. precondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.14"/></proof>
+ <proof prover="0"><result status="valid" time="0.14"/></proof>
<proof prover="7"><result status="valid" time="0.14" steps="146"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_fo_term_fo_formula.5" expl="5. assertion">
- <proof prover="0" obsolete="true"><result status="timeout" time="0.93"/></proof>
- <proof prover="4" obsolete="true"><result status="valid" time="0.50"/></proof>
+ <proof prover="4"><result status="valid" time="0.50"/></proof>
<proof prover="9"><result status="valid" time="0.22"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_fo_term_fo_formula.6" expl="6. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.08"/></proof>
+ <proof prover="0"><result status="valid" time="0.08"/></proof>
<proof prover="7"><result status="valid" time="0.08" steps="14"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_fo_term_fo_formula.7" expl="7. unreachable point">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="27"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_fo_term_fo_formula.8" expl="8. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="12"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_fo_term_fo_formula.9" expl="9. precondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.08"/></proof>
+ <proof prover="0"><result status="valid" time="0.08"/></proof>
<proof prover="7"><result status="valid" time="0.08" steps="6"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_fo_term_fo_formula.10" expl="10. unreachable point">
- <proof prover="0" obsolete="true"><result status="valid" time="0.31"/></proof>
+ <proof prover="0"><result status="valid" time="0.31"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="223"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_fo_term_fo_formula.11" expl="11. precondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.14"/></proof>
+ <proof prover="0"><result status="valid" time="0.14"/></proof>
<proof prover="7"><result status="valid" time="0.14" steps="146"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_fo_term_fo_formula.12" expl="12. assertion">
- <proof prover="0" obsolete="true"><result status="timeout" time="0.97"/></proof>
- <proof prover="4" obsolete="true"><result status="valid" time="0.53"/></proof>
+ <proof prover="4"><result status="valid" time="0.53"/></proof>
<proof prover="9"><result status="valid" time="0.25"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_fo_term_fo_formula.13" expl="13. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="14"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_fo_term_fo_formula.14" expl="14. unreachable point">
- <proof prover="0" obsolete="true"><result status="valid" time="0.08"/></proof>
+ <proof prover="0"><result status="valid" time="0.08"/></proof>
<proof prover="7"><result status="valid" time="0.08" steps="27"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_fo_term_fo_formula.15" expl="15. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.11"/></proof>
+ <proof prover="0"><result status="valid" time="0.11"/></proof>
<proof prover="7"><result status="valid" time="0.11" steps="14"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_fo_term_fo_formula.16" expl="16. precondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="6"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_fo_term_fo_formula.17" expl="17. precondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.08"/></proof>
+ <proof prover="0"><result status="valid" time="0.08"/></proof>
<proof prover="7"><result status="valid" time="0.08" steps="10"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_fo_term_fo_formula.18" expl="18. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="26"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_fo_term_fo_formula.19" expl="19. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="14"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_fo_term_fo_formula.20" expl="20. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="15"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_fo_term_fo_formula.21" expl="21. precondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="7"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_fo_term_fo_formula.22" expl="22. precondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="11"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_fo_term_fo_formula.23" expl="23. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="29"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_fo_term_fo_formula.24" expl="24. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="15"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_fo_term_fo_formula.25" expl="25. unreachable point">
- <proof prover="0" obsolete="true"><result status="valid" time="0.13"/></proof>
+ <proof prover="0"><result status="valid" time="0.13"/></proof>
<proof prover="7"><result status="valid" time="0.13" steps="84"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_fo_term_fo_formula.26" expl="26. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="14"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_fo_term_fo_formula.27" expl="27. precondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.08"/></proof>
+ <proof prover="0"><result status="valid" time="0.08"/></proof>
<proof prover="7"><result status="valid" time="0.08" steps="6"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_fo_term_fo_formula.28" expl="28. precondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.08"/></proof>
+ <proof prover="0"><result status="valid" time="0.08"/></proof>
<proof prover="7"><result status="valid" time="0.08" steps="10"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_fo_term_fo_formula.29" expl="29. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.11"/></proof>
+ <proof prover="0"><result status="valid" time="0.11"/></proof>
<proof prover="7"><result status="valid" time="0.11" steps="26"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_fo_term_fo_formula.30" expl="30. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="14"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_fo_term_fo_formula.31" expl="31. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="15"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_fo_term_fo_formula.32" expl="32. precondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.08"/></proof>
+ <proof prover="0"><result status="valid" time="0.08"/></proof>
<proof prover="7"><result status="valid" time="0.08" steps="7"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_fo_term_fo_formula.33" expl="33. precondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="11"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_fo_term_fo_formula.34" expl="34. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="29"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_fo_term_fo_formula.35" expl="35. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="15"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_fo_term_fo_formula.36" expl="36. unreachable point">
- <proof prover="0" obsolete="true"><result status="valid" time="0.12"/></proof>
+ <proof prover="0"><result status="valid" time="0.12"/></proof>
<proof prover="7"><result status="valid" time="0.12" steps="84"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_fo_term_fo_formula.37" expl="37. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="10"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_fo_term_fo_formula.38" expl="38. precondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="6"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_fo_term_fo_formula.39" expl="39. precondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="10"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_fo_term_fo_formula.40" expl="40. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.08"/></proof>
+ <proof prover="0"><result status="valid" time="0.08"/></proof>
<proof prover="7"><result status="valid" time="0.08" steps="23"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_fo_term_fo_formula.41" expl="41. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="13"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_fo_term_fo_formula.42" expl="42. unreachable point">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="21"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_fo_term_fo_formula.43" expl="43. unreachable point">
- <proof prover="0" obsolete="true"><result status="valid" time="0.11"/></proof>
+ <proof prover="0"><result status="valid" time="0.11"/></proof>
<proof prover="7"><result status="valid" time="0.11" steps="17"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_fo_term_fo_formula.44" expl="44. unreachable point">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="17"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_fo_term_fo_formula.45" expl="45. precondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.08"/></proof>
+ <proof prover="0"><result status="valid" time="0.08"/></proof>
<proof prover="7"><result status="valid" time="0.08" steps="6"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_fo_term_fo_formula.46" expl="46. precondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="10"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_fo_term_fo_formula.47" expl="47. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="25"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_fo_term_fo_formula.48" expl="48. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="13"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_fo_term_fo_formula.49" expl="49. unreachable point">
- <proof prover="0" obsolete="true"><result status="valid" time="0.11"/></proof>
+ <proof prover="0"><result status="valid" time="0.11"/></proof>
<proof prover="7"><result status="valid" time="0.11" steps="56"/></proof>
</goal>
</transf>
</goal>
<goal name="WP_parameter subst_free_var_inversion_fo_term_fo_formula" expl="VC for subst_free_var_inversion_fo_term_fo_formula">
- <proof prover="0" obsolete="true"><result status="valid" time="0.11"/></proof>
+ <proof prover="0"><result status="valid" time="0.11"/></proof>
<proof prover="7"><result status="valid" time="0.11" steps="14"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_symbol_symbol_fo_formula" expl="VC for subst_free_var_propagation_symbol_symbol_fo_formula">
- <proof prover="0" obsolete="true"><result status="timeout" time="0.96"/></proof>
<transf name="split_goal_wp">
<goal name="WP_parameter subst_free_var_propagation_symbol_symbol_fo_formula.1" expl="1. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.08"/></proof>
+ <proof prover="0"><result status="valid" time="0.08"/></proof>
<proof prover="7"><result status="valid" time="0.08" steps="10"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_symbol_symbol_fo_formula.2" expl="2. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="22"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_symbol_symbol_fo_formula.3" expl="3. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="75"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_symbol_symbol_fo_formula.4" expl="4. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="10"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_symbol_symbol_fo_formula.5" expl="5. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.11"/></proof>
+ <proof prover="0"><result status="valid" time="0.11"/></proof>
<proof prover="7"><result status="valid" time="0.11" steps="22"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_symbol_symbol_fo_formula.6" expl="6. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.12"/></proof>
+ <proof prover="0"><result status="valid" time="0.12"/></proof>
<proof prover="7"><result status="valid" time="0.12" steps="75"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_symbol_symbol_fo_formula.7" expl="7. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="12"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_symbol_symbol_fo_formula.8" expl="8. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="21"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_symbol_symbol_fo_formula.9" expl="9. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="16"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_symbol_symbol_fo_formula.10" expl="10. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="8"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_symbol_symbol_fo_formula.11" expl="11. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.14"/></proof>
+ <proof prover="0"><result status="valid" time="0.14"/></proof>
<proof prover="7"><result status="valid" time="0.14" steps="131"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_symbol_symbol_fo_formula.12" expl="12. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="12"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_symbol_symbol_fo_formula.13" expl="13. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="21"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_symbol_symbol_fo_formula.14" expl="14. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="16"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_symbol_symbol_fo_formula.15" expl="15. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="8"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_symbol_symbol_fo_formula.16" expl="16. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.15"/></proof>
+ <proof prover="0"><result status="valid" time="0.15"/></proof>
<proof prover="7"><result status="valid" time="0.15" steps="131"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_symbol_symbol_fo_formula.17" expl="17. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="8"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_symbol_symbol_fo_formula.18" expl="18. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="19"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_symbol_symbol_fo_formula.19" expl="19. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="69"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_symbol_symbol_fo_formula.20" expl="20. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="15"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_symbol_symbol_fo_formula.21" expl="21. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.08"/></proof>
+ <proof prover="0"><result status="valid" time="0.08"/></proof>
<proof prover="7"><result status="valid" time="0.08" steps="15"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_symbol_symbol_fo_formula.22" expl="22. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="19"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_symbol_symbol_fo_formula.23" expl="23. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="8"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_symbol_symbol_fo_formula.24" expl="24. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.18"/></proof>
+ <proof prover="0"><result status="valid" time="0.18"/></proof>
<proof prover="7"><result status="valid" time="0.18" steps="243"/></proof>
</goal>
</transf>
</goal>
<goal name="WP_parameter subst_free_var_propagation_fo_term_symbol_fo_formula" expl="VC for subst_free_var_propagation_fo_term_symbol_fo_formula">
- <proof prover="0" obsolete="true"><result status="timeout" time="0.99"/></proof>
<transf name="split_goal_wp">
<goal name="WP_parameter subst_free_var_propagation_fo_term_symbol_fo_formula.1" expl="1. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="10"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_fo_term_symbol_fo_formula.2" expl="2. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="49"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_fo_term_symbol_fo_formula.3" expl="3. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="73"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_fo_term_symbol_fo_formula.4" expl="4. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="10"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_fo_term_symbol_fo_formula.5" expl="5. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="49"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_fo_term_symbol_fo_formula.6" expl="6. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="73"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_fo_term_symbol_fo_formula.7" expl="7. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="12"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_fo_term_symbol_fo_formula.8" expl="8. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="7"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_fo_term_symbol_fo_formula.9" expl="9. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="14"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_fo_term_symbol_fo_formula.10" expl="10. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="7"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_fo_term_symbol_fo_formula.11" expl="11. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.13"/></proof>
+ <proof prover="0"><result status="valid" time="0.13"/></proof>
<proof prover="7"><result status="valid" time="0.13" steps="119"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_fo_term_symbol_fo_formula.12" expl="12. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="12"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_fo_term_symbol_fo_formula.13" expl="13. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="7"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_fo_term_symbol_fo_formula.14" expl="14. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="14"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_fo_term_symbol_fo_formula.15" expl="15. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="7"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_fo_term_symbol_fo_formula.16" expl="16. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.12"/></proof>
+ <proof prover="0"><result status="valid" time="0.12"/></proof>
<proof prover="7"><result status="valid" time="0.12" steps="119"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_fo_term_symbol_fo_formula.17" expl="17. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.08"/></proof>
+ <proof prover="0"><result status="valid" time="0.08"/></proof>
<proof prover="7"><result status="valid" time="0.08" steps="8"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_fo_term_symbol_fo_formula.18" expl="18. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="7"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_fo_term_symbol_fo_formula.19" expl="19. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.11"/></proof>
+ <proof prover="0"><result status="valid" time="0.11"/></proof>
<proof prover="7"><result status="valid" time="0.11" steps="55"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_fo_term_symbol_fo_formula.20" expl="20. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="15"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_fo_term_symbol_fo_formula.21" expl="21. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="15"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_fo_term_symbol_fo_formula.22" expl="22. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="7"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_fo_term_symbol_fo_formula.23" expl="23. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.12"/></proof>
+ <proof prover="0"><result status="valid" time="0.12"/></proof>
<proof prover="7"><result status="valid" time="0.12" steps="71"/></proof>
</goal>
</transf>
</goal>
<goal name="WP_parameter subst_free_var_propagation_fo_term_fo_term_fo_formula" expl="VC for subst_free_var_propagation_fo_term_fo_term_fo_formula">
- <proof prover="0" obsolete="true"><result status="timeout" time="0.98"/></proof>
<transf name="split_goal_wp">
<goal name="WP_parameter subst_free_var_propagation_fo_term_fo_term_fo_formula.1" expl="1. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="10"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_fo_term_fo_term_fo_formula.2" expl="2. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.11"/></proof>
+ <proof prover="0"><result status="valid" time="0.11"/></proof>
<proof prover="7"><result status="valid" time="0.11" steps="51"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_fo_term_fo_term_fo_formula.3" expl="3. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.12"/></proof>
+ <proof prover="0"><result status="valid" time="0.12"/></proof>
<proof prover="7"><result status="valid" time="0.12" steps="79"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_fo_term_fo_term_fo_formula.4" expl="4. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="10"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_fo_term_fo_term_fo_formula.5" expl="5. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="51"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_fo_term_fo_term_fo_formula.6" expl="6. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.12"/></proof>
+ <proof prover="0"><result status="valid" time="0.12"/></proof>
<proof prover="7"><result status="valid" time="0.12" steps="79"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_fo_term_fo_term_fo_formula.7" expl="7. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="12"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_fo_term_fo_term_fo_formula.8" expl="8. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="7"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_fo_term_fo_term_fo_formula.9" expl="9. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.11"/></proof>
+ <proof prover="0"><result status="valid" time="0.11"/></proof>
<proof prover="7"><result status="valid" time="0.11" steps="14"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_fo_term_fo_term_fo_formula.10" expl="10. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="7"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_fo_term_fo_term_fo_formula.11" expl="11. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.14"/></proof>
+ <proof prover="0"><result status="valid" time="0.14"/></proof>
<proof prover="7"><result status="valid" time="0.14" steps="125"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_fo_term_fo_term_fo_formula.12" expl="12. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="12"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_fo_term_fo_term_fo_formula.13" expl="13. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="7"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_fo_term_fo_term_fo_formula.14" expl="14. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.12"/></proof>
+ <proof prover="0"><result status="valid" time="0.12"/></proof>
<proof prover="7"><result status="valid" time="0.12" steps="14"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_fo_term_fo_term_fo_formula.15" expl="15. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.08"/></proof>
+ <proof prover="0"><result status="valid" time="0.08"/></proof>
<proof prover="7"><result status="valid" time="0.08" steps="7"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_fo_term_fo_term_fo_formula.16" expl="16. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.12"/></proof>
+ <proof prover="0"><result status="valid" time="0.12"/></proof>
<proof prover="7"><result status="valid" time="0.12" steps="125"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_fo_term_fo_term_fo_formula.17" expl="17. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="8"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_fo_term_fo_term_fo_formula.18" expl="18. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="7"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_fo_term_fo_term_fo_formula.19" expl="19. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.11"/></proof>
+ <proof prover="0"><result status="valid" time="0.11"/></proof>
<proof prover="7"><result status="valid" time="0.11" steps="55"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_fo_term_fo_term_fo_formula.20" expl="20. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.11"/></proof>
+ <proof prover="0"><result status="valid" time="0.11"/></proof>
<proof prover="7"><result status="valid" time="0.11" steps="15"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_fo_term_fo_term_fo_formula.21" expl="21. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="15"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_fo_term_fo_term_fo_formula.22" expl="22. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.11"/></proof>
+ <proof prover="0"><result status="valid" time="0.11"/></proof>
<proof prover="7"><result status="valid" time="0.11" steps="7"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_propagation_fo_term_fo_term_fo_formula.23" expl="23. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.12"/></proof>
+ <proof prover="0"><result status="valid" time="0.12"/></proof>
<proof prover="7"><result status="valid" time="0.12" steps="70"/></proof>
</goal>
</transf>
</goal>
<goal name="WP_parameter free_var_equivalence_of_subst_fo_formula" expl="VC for free_var_equivalence_of_subst_fo_formula">
- <proof prover="0" obsolete="true"><result status="timeout" time="0.96"/></proof>
<transf name="split_goal_wp">
<goal name="WP_parameter free_var_equivalence_of_subst_fo_formula.1" expl="1. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="6"/></proof>
</goal>
<goal name="WP_parameter free_var_equivalence_of_subst_fo_formula.2" expl="2. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="7"/></proof>
</goal>
<goal name="WP_parameter free_var_equivalence_of_subst_fo_formula.3" expl="3. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="10"/></proof>
</goal>
<goal name="WP_parameter free_var_equivalence_of_subst_fo_formula.4" expl="4. precondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="36"/></proof>
</goal>
<goal name="WP_parameter free_var_equivalence_of_subst_fo_formula.5" expl="5. precondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.20"/></proof>
+ <proof prover="0"><result status="valid" time="0.20"/></proof>
<proof prover="7"><result status="valid" time="0.08" steps="129"/></proof>
</goal>
<goal name="WP_parameter free_var_equivalence_of_subst_fo_formula.6" expl="6. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="13"/></proof>
</goal>
<goal name="WP_parameter free_var_equivalence_of_subst_fo_formula.7" expl="7. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.08"/></proof>
+ <proof prover="0"><result status="valid" time="0.08"/></proof>
<proof prover="7"><result status="valid" time="0.08" steps="6"/></proof>
</goal>
<goal name="WP_parameter free_var_equivalence_of_subst_fo_formula.8" expl="8. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="7"/></proof>
</goal>
<goal name="WP_parameter free_var_equivalence_of_subst_fo_formula.9" expl="9. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="10"/></proof>
</goal>
<goal name="WP_parameter free_var_equivalence_of_subst_fo_formula.10" expl="10. precondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.11"/></proof>
+ <proof prover="0"><result status="valid" time="0.11"/></proof>
<proof prover="7"><result status="valid" time="0.11" steps="36"/></proof>
</goal>
<goal name="WP_parameter free_var_equivalence_of_subst_fo_formula.11" expl="11. precondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.22"/></proof>
+ <proof prover="0"><result status="valid" time="0.22"/></proof>
<proof prover="7"><result status="valid" time="0.08" steps="129"/></proof>
</goal>
<goal name="WP_parameter free_var_equivalence_of_subst_fo_formula.12" expl="12. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="11"/></proof>
</goal>
<goal name="WP_parameter free_var_equivalence_of_subst_fo_formula.13" expl="13. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="7"/></proof>
</goal>
<goal name="WP_parameter free_var_equivalence_of_subst_fo_formula.14" expl="14. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="7"/></proof>
</goal>
<goal name="WP_parameter free_var_equivalence_of_subst_fo_formula.15" expl="15. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="12"/></proof>
</goal>
<goal name="WP_parameter free_var_equivalence_of_subst_fo_formula.16" expl="16. precondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.11"/></proof>
+ <proof prover="0"><result status="valid" time="0.11"/></proof>
<proof prover="7"><result status="valid" time="0.11" steps="38"/></proof>
</goal>
<goal name="WP_parameter free_var_equivalence_of_subst_fo_formula.17" expl="17. precondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="40"/></proof>
</goal>
<goal name="WP_parameter free_var_equivalence_of_subst_fo_formula.18" expl="18. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="9"/></proof>
</goal>
<goal name="WP_parameter free_var_equivalence_of_subst_fo_formula.19" expl="19. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="9"/></proof>
</goal>
<goal name="WP_parameter free_var_equivalence_of_subst_fo_formula.20" expl="20. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="13"/></proof>
</goal>
<goal name="WP_parameter free_var_equivalence_of_subst_fo_formula.21" expl="21. precondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="39"/></proof>
</goal>
<goal name="WP_parameter free_var_equivalence_of_subst_fo_formula.22" expl="22. precondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="37"/></proof>
</goal>
<goal name="WP_parameter free_var_equivalence_of_subst_fo_formula.23" expl="23. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.08"/></proof>
+ <proof prover="0"><result status="valid" time="0.08"/></proof>
<proof prover="7"><result status="valid" time="0.08" steps="8"/></proof>
</goal>
<goal name="WP_parameter free_var_equivalence_of_subst_fo_formula.24" expl="24. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.08"/></proof>
+ <proof prover="0"><result status="valid" time="0.08"/></proof>
<proof prover="7"><result status="valid" time="0.08" steps="7"/></proof>
</goal>
<goal name="WP_parameter free_var_equivalence_of_subst_fo_formula.25" expl="25. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.08"/></proof>
+ <proof prover="0"><result status="valid" time="0.08"/></proof>
<proof prover="7"><result status="valid" time="0.08" steps="7"/></proof>
</goal>
<goal name="WP_parameter free_var_equivalence_of_subst_fo_formula.26" expl="26. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="12"/></proof>
</goal>
<goal name="WP_parameter free_var_equivalence_of_subst_fo_formula.27" expl="27. precondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="38"/></proof>
</goal>
<goal name="WP_parameter free_var_equivalence_of_subst_fo_formula.28" expl="28. precondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="40"/></proof>
</goal>
<goal name="WP_parameter free_var_equivalence_of_subst_fo_formula.29" expl="29. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="9"/></proof>
</goal>
<goal name="WP_parameter free_var_equivalence_of_subst_fo_formula.30" expl="30. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="9"/></proof>
</goal>
<goal name="WP_parameter free_var_equivalence_of_subst_fo_formula.31" expl="31. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.11"/></proof>
+ <proof prover="0"><result status="valid" time="0.11"/></proof>
<proof prover="7"><result status="valid" time="0.11" steps="13"/></proof>
</goal>
<goal name="WP_parameter free_var_equivalence_of_subst_fo_formula.32" expl="32. precondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="39"/></proof>
</goal>
<goal name="WP_parameter free_var_equivalence_of_subst_fo_formula.33" expl="33. precondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="37"/></proof>
</goal>
<goal name="WP_parameter free_var_equivalence_of_subst_fo_formula.34" expl="34. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="8"/></proof>
</goal>
<goal name="WP_parameter free_var_equivalence_of_subst_fo_formula.35" expl="35. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="6"/></proof>
</goal>
<goal name="WP_parameter free_var_equivalence_of_subst_fo_formula.36" expl="36. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="6"/></proof>
</goal>
<goal name="WP_parameter free_var_equivalence_of_subst_fo_formula.37" expl="37. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.08"/></proof>
+ <proof prover="0"><result status="valid" time="0.08"/></proof>
<proof prover="7"><result status="valid" time="0.08" steps="8"/></proof>
</goal>
<goal name="WP_parameter free_var_equivalence_of_subst_fo_formula.38" expl="38. precondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="36"/></proof>
</goal>
<goal name="WP_parameter free_var_equivalence_of_subst_fo_formula.39" expl="39. precondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="38"/></proof>
</goal>
<goal name="WP_parameter free_var_equivalence_of_subst_fo_formula.40" expl="40. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="9"/></proof>
</goal>
<goal name="WP_parameter free_var_equivalence_of_subst_fo_formula.41" expl="41. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.08"/></proof>
+ <proof prover="0"><result status="valid" time="0.08"/></proof>
<proof prover="7"><result status="valid" time="0.08" steps="6"/></proof>
</goal>
<goal name="WP_parameter free_var_equivalence_of_subst_fo_formula.42" expl="42. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="6"/></proof>
</goal>
<goal name="WP_parameter free_var_equivalence_of_subst_fo_formula.43" expl="43. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="10"/></proof>
</goal>
<goal name="WP_parameter free_var_equivalence_of_subst_fo_formula.44" expl="44. precondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.23"/></proof>
+ <proof prover="0"><result status="valid" time="0.23"/></proof>
<proof prover="7"><result status="valid" time="0.23" steps="165"/></proof>
</goal>
<goal name="WP_parameter free_var_equivalence_of_subst_fo_formula.45" expl="45. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="10"/></proof>
</goal>
<goal name="WP_parameter free_var_equivalence_of_subst_fo_formula.46" expl="46. assertion">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="7"/></proof>
</goal>
<goal name="WP_parameter free_var_equivalence_of_subst_fo_formula.47" expl="47. precondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0"><result status="valid" time="0.10"/></proof>
<proof prover="7"><result status="valid" time="0.10" steps="41"/></proof>
</goal>
<goal name="WP_parameter free_var_equivalence_of_subst_fo_formula.48" expl="48. precondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.11"/></proof>
+ <proof prover="0"><result status="valid" time="0.11"/></proof>
<proof prover="7"><result status="valid" time="0.11" steps="44"/></proof>
</goal>
<goal name="WP_parameter free_var_equivalence_of_subst_fo_formula.49" expl="49. postcondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.09" steps="20"/></proof>
</goal>
</transf>
</goal>
<goal name="WP_parameter free_var_equivalence_of_rename_fo_formula" expl="VC for free_var_equivalence_of_rename_fo_formula">
- <proof prover="0" obsolete="true"><result status="valid" time="0.20"/></proof>
+ <proof prover="0"><result status="valid" time="0.20"/></proof>
<proof prover="7"><result status="valid" time="0.20" steps="258"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula" expl="VC for free_var_derive_equivalence_of_subst_fo_formula">
<transf name="split_goal_wp">
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.1" expl="1. variant decrease">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.08"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.08"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.08" steps="11"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.2" expl="2. precondition">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.10"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.10" steps="52"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.3" expl="3. assertion">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.16"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.16"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.16" steps="162"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.4" expl="4. assertion">
- <proof prover="0" timelimit="5" obsolete="true"><result status="timeout" time="4.28"/></proof>
<transf name="split_goal_wp">
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.4.1" expl="1. VC for free_var_derive_equivalence_of_subst_fo_formula">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.15"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.15"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.15" steps="105"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.4.2" expl="2. VC for free_var_derive_equivalence_of_subst_fo_formula">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.08"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.08"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.08" steps="10"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.4.3" expl="3. VC for free_var_derive_equivalence_of_subst_fo_formula">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.15"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.15"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.15" steps="105"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.4.4" expl="4. VC for free_var_derive_equivalence_of_subst_fo_formula">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.18"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.18"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.18" steps="79"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.4.5" expl="5. VC for free_var_derive_equivalence_of_subst_fo_formula">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.08"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.08"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.08" steps="10"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.4.6" expl="6. VC for free_var_derive_equivalence_of_subst_fo_formula">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.19"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.19"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.06" steps="80"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.4.7" expl="7. VC for free_var_derive_equivalence_of_subst_fo_formula">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.07"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.07"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.07" steps="13"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.4.8" expl="8. VC for free_var_derive_equivalence_of_subst_fo_formula">
- <proof prover="0" timelimit="5" obsolete="true"><result status="timeout" time="4.56"/></proof>
- <proof prover="4" obsolete="true"><result status="valid" time="0.72"/></proof>
+ <proof prover="4"><result status="valid" time="0.72"/></proof>
<proof prover="9"><result status="valid" time="0.21"/></proof>
</goal>
</transf>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.5" expl="5. postcondition">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.09"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.09" steps="34"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.6" expl="6. postcondition">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.09"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.09" steps="37"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.7" expl="7. variant decrease">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.09"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.09" steps="11"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.8" expl="8. precondition">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.09"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.09" steps="49"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.9" expl="9. assertion">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.15"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.15"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.15" steps="162"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.10" expl="10. assertion">
- <proof prover="0" timelimit="5" obsolete="true"><result status="timeout" time="4.62"/></proof>
<transf name="split_goal_wp">
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.10.1" expl="1. VC for free_var_derive_equivalence_of_subst_fo_formula">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.15"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.15"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.15" steps="105"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.10.2" expl="2. VC for free_var_derive_equivalence_of_subst_fo_formula">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.08"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.08"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.08" steps="10"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.10.3" expl="3. VC for free_var_derive_equivalence_of_subst_fo_formula">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.15"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.15"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.15" steps="105"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.10.4" expl="4. VC for free_var_derive_equivalence_of_subst_fo_formula">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.20"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.20"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.07" steps="79"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.10.5" expl="5. VC for free_var_derive_equivalence_of_subst_fo_formula">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.08"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.08"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.08" steps="10"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.10.6" expl="6. VC for free_var_derive_equivalence_of_subst_fo_formula">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.19"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.19"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.07" steps="80"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.10.7" expl="7. VC for free_var_derive_equivalence_of_subst_fo_formula">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.08"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.08"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.08" steps="13"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.10.8" expl="8. VC for free_var_derive_equivalence_of_subst_fo_formula">
- <proof prover="0" timelimit="5" obsolete="true"><result status="timeout" time="4.98"/></proof>
- <proof prover="4" obsolete="true"><result status="valid" time="0.66"/></proof>
+ <proof prover="4"><result status="valid" time="0.66"/></proof>
<proof prover="9"><result status="valid" time="0.22"/></proof>
</goal>
</transf>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.11" expl="11. postcondition">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.08"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.08"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.08" steps="34"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.12" expl="12. postcondition">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.08"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.08"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.08" steps="37"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.13" expl="13. variant decrease">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.08"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.08"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.08" steps="13"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.14" expl="14. precondition">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.44"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.44"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.14" steps="247"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.15" expl="15. assertion">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.16"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.16"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.16" steps="161"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.16" expl="16. assertion">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.16"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.16"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.16" steps="143"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.17" expl="17. variant decrease">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.08"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.08"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.08" steps="14"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.18" expl="18. precondition">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.16"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.16"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.16" steps="110"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.19" expl="19. assertion">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.17"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.17"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.17" steps="178"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.20" expl="20. assertion">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.18"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.18"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.18" steps="160"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.21" expl="21. postcondition">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.07"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.07"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.07" steps="41"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.22" expl="22. postcondition">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.09"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.09" steps="41"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.23" expl="23. variant decrease">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.08"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.08"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.08" steps="13"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.24" expl="24. precondition">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.42"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.42"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.14" steps="247"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.25" expl="25. assertion">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.17"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.17"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.17" steps="161"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.26" expl="26. assertion">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.17"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.17"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.17" steps="144"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.27" expl="27. variant decrease">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.08"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.08"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.08" steps="14"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.28" expl="28. precondition">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.16"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.16"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.16" steps="110"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.29" expl="29. assertion">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.19"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.19"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.19" steps="178"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.30" expl="30. assertion">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.18"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.18"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.18" steps="160"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.31" expl="31. postcondition">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.10"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.10" steps="41"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.32" expl="32. postcondition">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.08"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.08"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.08" steps="41"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.33" expl="33. variant decrease">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.06"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.06"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.06" steps="9"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.34" expl="34. precondition">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.09"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.09" steps="38"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.35" expl="35. assertion">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.14"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.14"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.14" steps="130"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.36" expl="36. assertion">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.14"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.14"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.14" steps="112"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.37" expl="37. postcondition">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.08"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.08"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.08" steps="28"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.38" expl="38. postcondition">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.08"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.08"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.08" steps="28"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.39" expl="39. postcondition">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.08"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.08"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.08" steps="7"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.40" expl="40. postcondition">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.07"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.07"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.07" steps="7"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.41" expl="41. postcondition">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.09"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.09" steps="7"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.42" expl="42. postcondition">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.08"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.08"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.08" steps="7"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.43" expl="43. precondition">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.14"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.14"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.14" steps="58"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.44" expl="44. assertion">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.11"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.11"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.11" steps="77"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.45" expl="45. precondition">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.35"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.35"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.13" steps="84"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.46" expl="46. assertion">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.19"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.19"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.19" steps="168"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.47" expl="47. assertion">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.18"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.18"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.18" steps="141"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.48" expl="48. postcondition">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.13"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.13"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.13" steps="64"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_formula.49" expl="49. postcondition">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.08"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.08"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.08" steps="35"/></proof>
</goal>
</transf>
@@ -1738,23 +1692,21 @@
<goal name="WP_parameter free_var_derive_equivalence_of_rename_fo_formula" expl="VC for free_var_derive_equivalence_of_rename_fo_formula">
<transf name="split_goal_wp">
<goal name="WP_parameter free_var_derive_equivalence_of_rename_fo_formula.1" expl="1. precondition">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.05"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.05"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.05" steps="6"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_rename_fo_formula.2" expl="2. assertion">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.08"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.08"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.08" steps="25"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_rename_fo_formula.3" expl="3. assertion">
- <proof prover="0" timelimit="5" obsolete="true"><result status="valid" time="0.10"/></proof>
+ <proof prover="0" timelimit="5"><result status="valid" time="0.10"/></proof>
<proof prover="7" timelimit="5"><result status="valid" time="0.10" steps="48"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_rename_fo_formula.4" expl="4. postcondition">
- <proof prover="0" timelimit="5" obsolete="true"><result status="timeout" time="4.87"/></proof>
<proof prover="12"><result status="valid" time="0.10"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_rename_fo_formula.5" expl="5. postcondition">
- <proof prover="0" timelimit="5" obsolete="true"><result status="timeout" time="4.74"/></proof>
<proof prover="12"><result status="valid" time="0.10"/></proof>
</goal>
</transf>
diff --git a/examples/in_progress/prover/Firstorder_formula_spec/why3shapes.gz b/examples/in_progress/prover/Firstorder_formula_spec/why3shapes.gz
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diff --git a/examples/in_progress/prover/Firstorder_semantics.mlw b/examples/in_progress/prover/Firstorder_semantics.mlw
index 85d356d96d..dac2121b58 100644
--- a/examples/in_progress/prover/Firstorder_semantics.mlw
+++ b/examples/in_progress/prover/Firstorder_semantics.mlw
@@ -1,6 +1,6 @@
module Sem
-
+
use import Choice.Choice
use import Functions.Func
use export HighOrd
@@ -13,26 +13,26 @@ module Sem
use import list.List
use import option.Option
use import OptionFuncs.Funcs
-
- type model 'ls 'st = {
- interp_fun : func 'ls (func (list 'st) 'st) ;
- interp_pred : func 'ls (pred (list 'st)) ;
+
+ type model 'fsymb 'st = {
+ interp_fun : func 'fsymb (func (list 'st) 'st) ;
+ interp_pred : func 'fsymb (pred (list 'st)) ;
}
-
- function term_semantic (t:fo_term 'ls 'b) (m:model 'ls 'st)
+
+ function term_semantic (t:fo_term 'fsymb 'b) (m:model 'fsymb 'st)
(rho:func 'b 'st) : 'st = match t with
| Var_fo_term x -> rho x
| App (Var_symbol f) l -> let ifun = m.interp_fun in
ifun f (term_list_semantic l m rho)
end
-
- with term_list_semantic (t:fo_term_list 'ls 'b) (m:model 'ls 'st)
+
+ with term_list_semantic (t:fo_term_list 'fsymb 'b) (m:model 'fsymb 'st)
(rho:func 'b 'st) : list 'st = match t with
| FONil -> Nil
| FOCons x q -> Cons (term_semantic x m rho) (term_list_semantic q m rho)
end
-
- predicate formula_semantic (t:fo_formula 'ls 'b) (m:model 'ls 'st)
+
+ predicate formula_semantic (t:fo_formula 'fsymb 'b) (m:model 'fsymb 'st)
(rho:func 'b 'st) = match t with
| Forall t -> forall x:'st.
formula_semantic t m (ocase rho x)
@@ -46,29 +46,29 @@ module Sem
| PApp (Var_symbol p) l -> let ipred = m.interp_pred in
ipred p (term_list_semantic l m rho)
end
-
- predicate formula_list_conj_semantic (t:fo_formula_list 'ls 'b)
- (m:model 'ls 'st) (rho:func 'b 'st) = match t with
+
+ predicate formula_list_conj_semantic (t:fo_formula_list 'fsymb 'b)
+ (m:model 'fsymb 'st) (rho:func 'b 'st) = match t with
| FOFNil -> true
| FOFCons x q -> formula_semantic x m rho /\
formula_list_conj_semantic q m rho
end
-
- predicate formula_list_disj_semantic (t:fo_formula_list 'ls 'b)
- (m:model 'ls 'st) (rho:func 'b 'st) = match t with
+
+ predicate formula_list_disj_semantic (t:fo_formula_list 'fsymb 'b)
+ (m:model 'fsymb 'st) (rho:func 'b 'st) = match t with
| FOFNil -> false
| FOFCons x q -> formula_semantic x m rho \/
formula_list_disj_semantic q m rho
end
-
- predicate tableau_node (b:bool) (phib:fo_formula_list 'ls 'b)
- (phi0:fo_formula 'ls 'b) (m:model 'ls 'st) (rho:func 'b 'st) =
+
+ predicate tableau_node (b:bool) (phib:fo_formula_list 'fsymb 'b)
+ (phi0:fo_formula 'fsymb 'b) (m:model 'fsymb 'st) (rho:func 'b 'st) =
( b = True /\ formula_semantic phi0 m rho)
\/ formula_list_disj_semantic phib m rho
-
+
(* This one work by accumulation, as it is related to a context. *)
- predicate tableau_semantic_with (t:tableau 'ls 'b)
- (b:bool) (m:model 'ls 'st) (rho:func 'b 'st) =
+ predicate tableau_semantic_with (t:tableau 'fsymb 'b)
+ (b:bool) (m:model 'fsymb 'st) (rho:func 'b 'st) =
match t with
| Root -> b = True
| Node tnext phi0 phib ->
@@ -77,17 +77,17 @@ module Sem
else False in
tableau_semantic_with tnext b' m rho
end
-
+
(* Abstraction-definition axiom :
- function semantic_subst (s:func 'b (fo_term 'ls 'c))
- (m:model 'ls 'st) (rho:func 'c 'st) : func 'b 'st =
+ function semantic_subst (s:func 'b (fo_term 'fsymb 'c))
+ (m:model 'fsymb 'st) (rho:func 'c 'st) : func 'b 'st =
(\ x:'b. term_semantic (s x) m rho) *)
- function semantic_subst (s:func 'b (fo_term 'ls 'c))
- (m:model 'ls 'st) (rho:func 'c 'st) : func 'b 'st
- axiom semantic_subst_def : forall s:func 'b (fo_term 'ls 'c),
- m:model 'ls 'st, rho:func 'c 'st, x:'b.
+ function semantic_subst (s:func 'b (fo_term 'fsymb 'c))
+ (m:model 'fsymb 'st) (rho:func 'c 'st) : func 'b 'st
+ axiom semantic_subst_def : forall s:func 'b (fo_term 'fsymb 'c),
+ m:model 'fsymb 'st, rho:func 'c 'st, x:'b.
semantic_subst s m rho x = term_semantic (s x) m rho
-
+
(*(* Abstraction-definition axiom :
constant symbol_name : func (symbol 'b) 'b =
(\ x:symbol 'b. match x with Var_symbol x -> x end) *)
@@ -104,26 +104,26 @@ module Sem
(rcompose symbol_name subst_id_symbol) } ;
assert { extensionalEqual (identity:func 'b 'b)
(rcompose subst_id_symbol symbol_name) }*)
-
+
function model_rename (r:func 'b 'c) (m:model 'c 'st) :
model 'b 'st = {
interp_fun = rcompose r m.interp_fun ;
interp_pred = rcompose r m.interp_pred ;
}
-
+
lemma model_rename_id : forall m:model 'b 'st.
model_rename identity m = m
-
+
(* semantic commutation with substitution.
Required for example for
universal quantification elimination deduction rule:
forall x. phi -> phi[x <- t] come from this lemma
(*and generally speaking, quantifier handling*) *)
-
- let rec lemma term_semantic_subst_commutation (t:fo_term 'ls 'b)
- (m:model 'ls2 'st) (rho : func 'c 'st)
- (thetal:func 'ls 'ls2)
- (theta:func 'b (fo_term 'ls2 'c)) : unit
+
+ let rec lemma term_semantic_subst_commutation (t:fo_term 'fsymb 'b)
+ (m:model 'fsymb2 'st) (rho : func 'c 'st)
+ (thetal:func 'fsymb 'fsymb2)
+ (theta:func 'b (fo_term 'fsymb2 'c)) : unit
ensures { term_semantic (
subst_fo_term t (rcompose thetal subst_id_symbol) theta) m rho =
term_semantic t (model_rename thetal m) (semantic_subst theta m rho) }
@@ -141,11 +141,11 @@ module Sem
assert { eval m.interp_fun (thetal f) l2 =
eval m2.interp_fun f l2 }
end
-
- with lemma term_list_semantic_subst_commutation (t:fo_term_list 'ls 'b)
- (m:model 'ls2 'st) (rho : func 'c 'st)
- (thetal:func 'ls 'ls2)
- (theta:func 'b (fo_term 'ls2 'c)) : unit
+
+ with lemma term_list_semantic_subst_commutation (t:fo_term_list 'fsymb 'b)
+ (m:model 'fsymb2 'st) (rho : func 'c 'st)
+ (thetal:func 'fsymb 'fsymb2)
+ (theta:func 'b (fo_term 'fsymb2 'c)) : unit
ensures { term_list_semantic (
subst_fo_term_list t (rcompose thetal subst_id_symbol) theta) m rho =
term_list_semantic t (model_rename thetal m)
@@ -157,10 +157,10 @@ module Sem
| FOCons x q -> term_semantic_subst_commutation x m rho thetal theta ;
term_list_semantic_subst_commutation q m rho thetal theta
end
-
- let lemma term_list_semantic_rename_commutation (t:fo_term_list 'ls 'b)
- (m:model 'ls2 'st) (rho:func 'c 'st)
- (thetal:func 'ls 'ls2) (theta:func 'b 'c) : unit
+
+ let lemma term_list_semantic_rename_commutation (t:fo_term_list 'fsymb 'b)
+ (m:model 'fsymb2 'st) (rho:func 'c 'st)
+ (thetal:func 'fsymb 'fsymb2) (theta:func 'b 'c) : unit
ensures { term_list_semantic (
rename_fo_term_list t thetal theta) m rho =
term_list_semantic t (model_rename thetal m)
@@ -169,19 +169,19 @@ module Sem
let p1 = rcompose theta rho in
let p2 = semantic_subst (rcompose theta subst_id_fo_term) m rho in
assert { extensionalEqual p1 p2 && p1 = p2 }
-
- let lemma term_semantic_rename_commutation (t:fo_term 'ls 'b)
- (m:model 'ls2 'st) (rho:func 'c 'st)
- (thetal:func 'ls 'ls2) (theta:func 'b 'c) : unit
+
+ let lemma term_semantic_rename_commutation (t:fo_term 'fsymb 'b)
+ (m:model 'fsymb2 'st) (rho:func 'c 'st)
+ (thetal:func 'fsymb 'fsymb2) (theta:func 'b 'c) : unit
ensures { term_semantic (rename_fo_term t thetal theta) m rho =
term_semantic t (model_rename thetal m) (rcompose theta rho) }
=
assert { extensionalEqual (rcompose theta rho)
(semantic_subst (subst_of_rename_fo_term theta) m rho) }
-
-
- let lemma semantic_lifting_commutation (theta:func 'b (fo_term 'ls 'c))
- (rho : func 'c 'st) (m:model 'ls 'st) (x:'st) : unit
+
+
+ let lemma semantic_lifting_commutation (theta:func 'b (fo_term 'fsymb 'c))
+ (rho : func 'c 'st) (m:model 'fsymb 'st) (x:'st) : unit
ensures { semantic_subst (olifts_fo_term theta) m (ocase rho x) =
ocase (semantic_subst theta m rho) x }
=
@@ -195,21 +195,21 @@ module Sem
| Some z -> p1 (Some z) = p2 (Some z) end
&& p1 x = p2 x } ;
assert { extensionalEqual p1 p2 }
-
- let lemma formula_semantic_subst_commutation (t0:fo_formula 'ls 'b)
- (m0:model 'ls2 'st)
- (thetal0:func 'ls 'ls2)
- (theta0:func 'b (fo_term 'ls2 'c))
+
+ let lemma formula_semantic_subst_commutation (t0:fo_formula 'fsymb 'b)
+ (m0:model 'fsymb2 'st)
+ (thetal0:func 'fsymb 'fsymb2)
+ (theta0:func 'b (fo_term 'fsymb2 'c))
(rho:func 'c 'st) : unit
ensures { formula_semantic (
subst_fo_formula t0 (rcompose thetal0 subst_id_symbol) theta0) m0 rho
<-> formula_semantic t0
(model_rename thetal0 m0) (semantic_subst theta0 m0 rho) }
=
- let rec ghost aux (t:fo_formula 'ls3 'b2)
- (m:model 'ls4 'st)
- (thetal:func 'ls3 'ls4)
- (theta:func 'b2 (fo_term 'ls4 'c2)) : unit
+ let rec ghost aux (t:fo_formula 'fsymb3 'b2)
+ (m:model 'fsymb4 'st)
+ (thetal:func 'fsymb3 'fsymb4)
+ (theta:func 'b2 (fo_term 'fsymb4 'c2)) : unit
ensures { forall rho:func 'c2 'st.
formula_semantic (
subst_fo_formula t (rcompose thetal subst_id_symbol) theta) m rho
@@ -257,10 +257,10 @@ module Sem
formula_semantic t2 m rho) }
end in
aux t0 m0 thetal0 theta0
-
+
let lemma formula_semantic_rename_commutation
- (t:fo_formula 'ls 'b) (m:model 'ls2 'st)
- (thetal:func 'ls 'ls2)
+ (t:fo_formula 'fsymb 'b) (m:model 'fsymb2 'st)
+ (thetal:func 'fsymb 'fsymb2)
(theta:func 'b 'c) (rho:func 'c 'st) : unit
ensures { formula_semantic (rename_fo_formula t thetal theta) m rho
<-> formula_semantic t (model_rename thetal m) (rcompose theta rho) }
@@ -270,10 +270,10 @@ module Sem
subst_fo_formula t (rcompose thetal subst_id_symbol) thetas } ;
let p1 = rcompose theta rho in let p2 = semantic_subst thetas m rho in
assert { extensionalEqual p1 p2 && p1 = p2 }
-
+
let lemma formula_semantic_term_subst_commutation
- (t:fo_formula 'ls 'b) (m:model 'ls 'st)
- (theta:func 'b (fo_term 'ls 'c)) (rho:func 'c 'st) : unit
+ (t:fo_formula 'fsymb 'b) (m:model 'fsymb 'st)
+ (theta:func 'b (fo_term 'fsymb 'c)) (rho:func 'c 'st) : unit
ensures {
formula_semantic (subst_fo_formula t subst_id_symbol theta) m rho <->
formula_semantic t m (semantic_subst theta m rho) }
@@ -282,19 +282,19 @@ module Sem
let rho2 = semantic_subst theta m rho in
assert { formula_semantic t2 m rho <->
formula_semantic t (model_rename identity m) rho2 }
-
+
let lemma formula_semantic_term_rename_commutation
- (t:fo_formula 'ls 'b) (m:model 'ls 'st)
+ (t:fo_formula 'fsymb 'b) (m:model 'fsymb 'st)
(theta:func 'b 'c) (rho:func 'c 'st) : unit
ensures { formula_semantic (rename_fo_formula t identity theta) m rho <->
formula_semantic t m (rcompose theta rho) }
=
()
-
+
let rec lemma formula_list_conj_semantic_subst_commutation
- (t:fo_formula_list 'ls 'b) (m:model 'ls2 'st)
- (thetal:func 'ls 'ls2)
- (theta:func 'b (fo_term 'ls2 'c)) (rho:func 'c 'st) : unit
+ (t:fo_formula_list 'fsymb 'b) (m:model 'fsymb2 'st)
+ (thetal:func 'fsymb 'fsymb2)
+ (theta:func 'b (fo_term 'fsymb2 'c)) (rho:func 'c 'st) : unit
ensures { formula_list_conj_semantic (
subst_fo_formula_list t (rcompose thetal subst_id_symbol) theta) m rho
<-> formula_list_conj_semantic t
@@ -303,11 +303,11 @@ module Sem
=
match t with | FOFNil -> () | FOFCons _ q ->
formula_list_conj_semantic_subst_commutation q m thetal theta rho end
-
+
let rec lemma formula_list_disj_semantic_subst_commutation
- (t:fo_formula_list 'ls 'b) (m:model 'ls2 'st)
- (thetal:func 'ls 'ls2)
- (theta:func 'b (fo_term 'ls2 'c)) (rho:func 'c 'st) : unit
+ (t:fo_formula_list 'fsymb 'b) (m:model 'fsymb2 'st)
+ (thetal:func 'fsymb 'fsymb2)
+ (theta:func 'b (fo_term 'fsymb2 'c)) (rho:func 'c 'st) : unit
ensures { formula_list_disj_semantic (
subst_fo_formula_list t (rcompose thetal subst_id_symbol) theta) m rho
<-> formula_list_disj_semantic t
@@ -317,30 +317,30 @@ module Sem
match t with | FOFNil -> () | FOFCons _ q ->
formula_list_disj_semantic_subst_commutation q m thetal theta rho end
-
+
let lemma formula_list_conj_semantic_term_subst_commutation
- (t:fo_formula_list 'ls 'b) (m:model 'ls 'st)
- (theta:func 'b (fo_term 'ls 'c)) (rho:func 'c 'st) : unit
+ (t:fo_formula_list 'fsymb 'b) (m:model 'fsymb 'st)
+ (theta:func 'b (fo_term 'fsymb 'c)) (rho:func 'c 'st) : unit
ensures { formula_list_conj_semantic
(subst_fo_formula_list t subst_id_symbol theta) m rho <->
formula_list_conj_semantic t m (semantic_subst theta m rho) }
=
formula_list_conj_semantic_subst_commutation t m identity theta rho
-
+
let lemma formula_list_disj_semantic_term_subst_commutation
- (t:fo_formula_list 'ls 'b) (m:model 'ls 'st)
- (theta:func 'b (fo_term 'ls 'c)) (rho:func 'c 'st) : unit
+ (t:fo_formula_list 'fsymb 'b) (m:model 'fsymb 'st)
+ (theta:func 'b (fo_term 'fsymb 'c)) (rho:func 'c 'st) : unit
ensures { formula_list_disj_semantic
(subst_fo_formula_list t subst_id_symbol theta) m rho <->
formula_list_disj_semantic t m (semantic_subst theta m rho) }
=
formula_list_disj_semantic_subst_commutation t m identity theta rho
-
+
let rec lemma tableau_semantic_subst_commutation
- (t:tableau 'ls 'b) (m:model 'ls2 'st)
+ (t:tableau 'fsymb 'b) (m:model 'fsymb2 'st)
(b:bool)
- (thetal:func 'ls 'ls2)
- (theta:func 'b (fo_term 'ls2 'c)) (rho:func 'c 'st) : unit
+ (thetal:func 'fsymb 'fsymb2)
+ (theta:func 'b (fo_term 'fsymb2 'c)) (rho:func 'c 'st) : unit
ensures { tableau_semantic_with (
subst_tableau t (rcompose thetal subst_id_symbol) theta) b m rho
<-> tableau_semantic_with t b
@@ -358,20 +358,20 @@ module Sem
else False in
tableau_semantic_subst_commutation tnext m b' thetal theta rho
end
-
+
let lemma tableau_semantic_term_subst_commutation
- (t:tableau 'ls 'b) (b:bool) (m:model 'ls 'st)
- (theta:func 'b (fo_term 'ls 'c)) (rho:func 'c 'st) : unit
+ (t:tableau 'fsymb 'b) (b:bool) (m:model 'fsymb 'st)
+ (theta:func 'b (fo_term 'fsymb 'c)) (rho:func 'c 'st) : unit
ensures { tableau_semantic_with (
subst_tableau t subst_id_symbol theta) b m rho <->
tableau_semantic_with t b m (semantic_subst theta m rho) }
=
tableau_semantic_subst_commutation t m b identity theta rho
-
+
let rec lemma term_semantic_depend_only_free_var
- (t:fo_term 'ls 'b) (m1 m2:model 'ls 'st)
+ (t:fo_term 'fsymb 'b) (m1 m2:model 'fsymb 'st)
(rho1 rho2:func 'b 'st) : unit
- requires { forall f:'ls. is_symbol_free_var_in_fo_term f t ->
+ requires { forall f:'fsymb. is_symbol_free_var_in_fo_term f t ->
eval m1.interp_fun f = eval m2.interp_fun f /\
eval m1.interp_pred f = eval m2.interp_pred f }
requires { forall x:'b. is_fo_term_free_var_in_fo_term x t ->
@@ -382,11 +382,11 @@ module Sem
match t with Var_fo_term x -> () | App (Var_symbol f) l ->
term_list_semantic_depend_only_free_var l m1 m2 rho1 rho2 ;
assert { is_symbol_free_var_in_fo_term f t } end
-
+
with lemma term_list_semantic_depend_only_free_var
- (t:fo_term_list 'ls 'b) (m1 m2:model 'ls 'st)
+ (t:fo_term_list 'fsymb 'b) (m1 m2:model 'fsymb 'st)
(rho1 rho2:func 'b 'st) : unit
- requires { forall f:'ls. is_symbol_free_var_in_fo_term_list f t ->
+ requires { forall f:'fsymb. is_symbol_free_var_in_fo_term_list f t ->
eval m1.interp_fun f = eval m2.interp_fun f /\
eval m1.interp_pred f = eval m2.interp_pred f }
requires { forall x:'b. is_fo_term_free_var_in_fo_term_list x t ->
@@ -397,19 +397,19 @@ module Sem
match t with FONil -> () | FOCons x q ->
term_semantic_depend_only_free_var x m1 m2 rho1 rho2 ;
term_list_semantic_depend_only_free_var q m1 m2 rho1 rho2 end
-
+
let lemma formula_semantic_depend_only_free_var
- (t:fo_formula 'ls0 'b0) (m1 m2:model 'ls0 'st0)
+ (t:fo_formula 'fsymb0 'b0) (m1 m2:model 'fsymb0 'st0)
(rho1 rho2:func 'b0 'st0) : unit
- requires { forall f:'ls0. is_symbol_free_var_in_fo_formula f t ->
+ requires { forall f:'fsymb0. is_symbol_free_var_in_fo_formula f t ->
eval m1.interp_fun f = eval m2.interp_fun f /\
eval m1.interp_pred f = eval m2.interp_pred f }
requires { forall x:'b0. is_fo_term_free_var_in_fo_formula x t ->
rho1 x = rho2 x }
ensures { formula_semantic t m1 rho1 <-> formula_semantic t m2 rho2 }
=
- let rec aux (t:fo_formula 'ls 'b) (m1 m2:model 'ls 'st) : unit
- requires { forall f:'ls. is_symbol_free_var_in_fo_formula f t ->
+ let rec aux (t:fo_formula 'fsymb 'b) (m1 m2:model 'fsymb 'st) : unit
+ requires { forall f:'fsymb. is_symbol_free_var_in_fo_formula f t ->
eval m1.interp_fun f = eval m2.interp_fun f /\
eval m1.interp_pred f = eval m2.interp_pred f }
ensures { forall rho1 rho2:func 'b 'st.
@@ -456,11 +456,11 @@ module Sem
eval m2.interp_pred p (term_list_semantic l m2 rho2)) }
end in
aux t m1 m2
-
+
let rec lemma formula_list_conj_semantic_depend_only_free_var
- (t:fo_formula_list 'ls 'b) (m1 m2:model 'ls 'st)
+ (t:fo_formula_list 'fsymb 'b) (m1 m2:model 'fsymb 'st)
(rho1 rho2:func 'b 'st) : unit
- requires { forall f:'ls. is_symbol_free_var_in_fo_formula_list f t ->
+ requires { forall f:'fsymb. is_symbol_free_var_in_fo_formula_list f t ->
eval m1.interp_fun f = eval m2.interp_fun f /\
eval m1.interp_pred f = eval m2.interp_pred f }
requires { forall x:'b. is_fo_term_free_var_in_fo_formula_list x t ->
@@ -472,11 +472,11 @@ module Sem
match t with FOFNil -> () | FOFCons x q ->
formula_semantic_depend_only_free_var x m1 m2 rho1 rho2 ;
formula_list_conj_semantic_depend_only_free_var q m1 m2 rho1 rho2 end
-
+
let rec lemma formula_list_disj_semantic_depend_only_free_var
- (t:fo_formula_list 'ls 'b) (m1 m2:model 'ls 'st)
+ (t:fo_formula_list 'fsymb 'b) (m1 m2:model 'fsymb 'st)
(rho1 rho2:func 'b 'st) : unit
- requires { forall f:'ls. is_symbol_free_var_in_fo_formula_list f t ->
+ requires { forall f:'fsymb. is_symbol_free_var_in_fo_formula_list f t ->
eval m1.interp_fun f = eval m2.interp_fun f /\
eval m1.interp_pred f = eval m2.interp_pred f }
requires { forall x:'b. is_fo_term_free_var_in_fo_formula_list x t ->
@@ -488,79 +488,79 @@ module Sem
match t with FOFNil -> () | FOFCons x q ->
formula_semantic_depend_only_free_var x m1 m2 rho1 rho2 ;
formula_list_disj_semantic_depend_only_free_var q m1 m2 rho1 rho2 end
-
- predicate formula_list_mem (phi:fo_formula 'ls 'b)
- (l:fo_formula_list 'ls 'b) = match l with
+
+ predicate formula_list_mem (phi:fo_formula 'fsymb 'b)
+ (l:fo_formula_list 'fsymb 'b) = match l with
| FOFNil -> false | FOFCons x q -> x = phi \/ formula_list_mem phi q end
-
+
let rec lemma formula_list_conj_semantic_other_def
- (l:fo_formula_list 'ls 'b) (m:model 'ls 'st)
+ (l:fo_formula_list 'fsymb 'b) (m:model 'fsymb 'st)
(rho:func 'b 'st) : unit
ensures { formula_list_conj_semantic l m rho <->
- (forall phi:fo_formula 'ls 'b.
+ (forall phi:fo_formula 'fsymb 'b.
formula_list_mem phi l -> formula_semantic phi m rho) }
variant { size_fo_formula_list l }
= match l with FOFNil -> () | FOFCons _ q ->
formula_list_conj_semantic_other_def q m rho end
-
+
let rec lemma formula_list_disj_semantic_other_def
- (l:fo_formula_list 'ls 'b) (m:model 'ls 'st)
+ (l:fo_formula_list 'fsymb 'b) (m:model 'fsymb 'st)
(rho:func 'b 'st) : unit
ensures { formula_list_disj_semantic l m rho <->
- (exists phi:fo_formula 'ls 'b.
+ (exists phi:fo_formula 'fsymb 'b.
formula_list_mem phi l /\ formula_semantic phi m rho) }
variant { size_fo_formula_list l }
= match l with FOFNil -> () | FOFCons x q ->
formula_list_disj_semantic_other_def q m rho end
-
+
(* Problem : validity/unsatifiability are not even axiomatizable in why3,
since we would have to introduce it from a type quantification.
However, we can define a demonstrability predicate and show for it
the same elimination principle as unsatisfiability. *)
-
+
(* Demonstration object (not directly a predicate,
so we can actually construct the proof object ourselves). *)
-
+
(* G |- A can be read as : for every model+interpretation,
if /\G is true then A too.
Which in particular mean : if G |- false, G have no model,
so we can use G |- false instead of unsat predicate as long
as it can represent all our demonstration steps. *)
-
- (*type demonstration 'ls 'b =
+
+ (*type demonstration 'fsymb 'b =
| Axiom
- | ModusPonens (demonstration 'ls 'b) (demonstration 'ls 'b)
- (fo_formula 'ls 'b)
- | Abstraction (demonstration 'ls 'b) (fo_formula 'ls 'b)
- (fo_formula 'ls 'b)
- | ConjunctionIntro (demonstration 'ls 'b) (fo_formula 'ls 'b)
- (demonstration 'ls 'b) (fo_formula 'ls 'b)
- | ConjunctionLeft (demonstration 'ls 'b) (fo_formula 'ls 'b)
- | ConjunctionRight (demonstration 'ls 'b) (fo_formula 'ls 'b)
- | DisjunctionLeft (demonstration 'ls 'b) (fo_formula 'ls 'b)
- (fo_formula 'ls 'b)
- | DisjunctionRight (demonstration 'ls 'b) (fo_formula 'ls 'b)
- (fo_formula 'ls 'b)
- | DisjunctionElim (demonstration 'ls 'b) (demonstration 'ls 'b)
- (demonstration 'ls 'b) (fo_formula 'ls 'b) (fo_formula 'ls 'b)
- | UniversalInstantiation (demonstration 'ls 'b)
- (fo_formula 'ls (option 'b)) (fo_term 'ls 'b)
- | Instantiation (demonstration 'ls 'b)
- (fo_formula_list 'ls 'b)
- (fo_formula 'ls 'b) 'b (fo_term 'ls 'b)
- | ExistentialIntroduction (demonstration 'ls 'b)
- (fo_formula 'ls (option 'b)) (fo_term 'ls 'b)
- | ExistentialElimination (demonstration 'ls 'b)
- (demonstration 'ls 'b)
- (fo_formula 'ls (option 'b)) (fo_formula 'ls (option 'b))
- | PointlessExistential (demonstration 'ls 'b)
- | ExFalso (demonstration 'ls 'b)
+ | ModusPonens (demonstration 'fsymb 'b) (demonstration 'fsymb 'b)
+ (fo_formula 'fsymb 'b)
+ | Abstraction (demonstration 'fsymb 'b) (fo_formula 'fsymb 'b)
+ (fo_formula 'fsymb 'b)
+ | ConjunctionIntro (demonstration 'fsymb 'b) (fo_formula 'fsymb 'b)
+ (demonstration 'fsymb 'b) (fo_formula 'fsymb 'b)
+ | ConjunctionLeft (demonstration 'fsymb 'b) (fo_formula 'fsymb 'b)
+ | ConjunctionRight (demonstration 'fsymb 'b) (fo_formula 'fsymb 'b)
+ | DisjunctionLeft (demonstration 'fsymb 'b) (fo_formula 'fsymb 'b)
+ (fo_formula 'fsymb 'b)
+ | DisjunctionRight (demonstration 'fsymb 'b) (fo_formula 'fsymb 'b)
+ (fo_formula 'fsymb 'b)
+ | DisjunctionElim (demonstration 'fsymb 'b) (demonstration 'fsymb 'b)
+ (demonstration 'fsymb 'b) (fo_formula 'fsymb 'b) (fo_formula 'fsymb 'b)
+ | UniversalInstantiation (demonstration 'fsymb 'b)
+ (fo_formula 'fsymb (option 'b)) (fo_term 'fsymb 'b)
+ | Instantiation (demonstration 'fsymb 'b)
+ (fo_formula_list 'fsymb 'b)
+ (fo_formula 'fsymb 'b) 'b (fo_term 'fsymb 'b)
+ | ExistentialIntroduction (demonstration 'fsymb 'b)
+ (fo_formula 'fsymb (option 'b)) (fo_term 'fsymb 'b)
+ | ExistentialElimination (demonstration 'fsymb 'b)
+ (demonstration 'fsymb 'b)
+ (fo_formula 'fsymb (option 'b)) (fo_formula 'fsymb (option 'b))
+ | PointlessExistential (demonstration 'fsymb 'b)
+ | ExFalso (demonstration 'fsymb 'b)
| Trivial
- | Weakening (demonstration 'ls 'b) (fo_formula_list 'ls 'b)
- | Skolemization (demonstration 'ls 'b) (fo_formula 'ls 'b) 'ls*)
-
- (*predicate is_skolem_axiom (phi:fo_formula 'ls 'b) (f:'ls)
- (env:fo_term_list 'ls 'b) =
+ | Weakening (demonstration 'fsymb 'b) (fo_formula_list 'fsymb 'b)
+ | Skolemization (demonstration 'fsymb 'b) (fo_formula 'fsymb 'b) 'fsymb*)
+
+ (*predicate is_skolem_axiom (phi:fo_formula 'fsymb 'b) (f:'fsymb)
+ (env:fo_term_list 'fsymb 'b) =
match phi with
| Forall phi2 -> is_skolem_axiom phi2 f
(FOCons (Var_fo_term None) (rename_fo_term_list env identity some))
@@ -570,7 +570,7 @@ module Sem
not(is_symbol_free_var_in_fo_formula f phi2)
| _ -> false
end*)
-
+
(*(* Hack to force possibility of instantiation of extend_env
definition axiom ! *)
function extend_env_selection (g:func (list 'st) (func 'b 'st))
@@ -590,63 +590,63 @@ module Sem
| Cons y q -> extend_env_selection g x y q
| Nil -> default
end
-
+
lemma extend_env_none : forall g:func (list 'st) (func 'b 'st),
y:'st,l:list 'st. extend_env g (Cons y l) None = y
lemma extend_env_some : forall g:func (list 'st) (func 'b 'st),
x:'b,y:'st,l:list 'st. extend_env g (Cons y l) (Some x) = g l x*)
-
+
(* Abstraction-definition axiom :
- function skolem_predicate (phi:fo_formula 'ls (option 'b))
- (m:model 'ls 'st) (rho:func 'b 'st) : pred 'st =
+ function skolem_predicate (phi:fo_formula 'fsymb (option 'b))
+ (m:model 'fsymb 'st) (rho:func 'b 'st) : pred 'st =
(\ x:'st. formula_semantic phi m (ocase rho x) ) *)
- function skolem_predicate (phi:fo_formula 'ls (option 'b))
- (m:model 'ls 'st) (rho:func 'b 'st) : pred 'st
- axiom skolem_predicate_def : forall phi:fo_formula 'ls (option 'b),
- m:model 'ls 'st,rho:func 'b 'st,x:'st.
+ function skolem_predicate (phi:fo_formula 'fsymb (option 'b))
+ (m:model 'fsymb 'st) (rho:func 'b 'st) : pred 'st
+ axiom skolem_predicate_def : forall phi:fo_formula 'fsymb (option 'b),
+ m:model 'fsymb 'st,rho:func 'b 'st,x:'st.
skolem_predicate phi m rho x <-> formula_semantic phi m (ocase rho x)
-
+
(* Abstraction-definition axiom :
- function skolem_function (phi:fo_formula 'ls (option 'b))
- (m:model 'ls 'st) (g:func (list 'st) (func 'b 'st)) : func (list 'st) 'st
+ function skolem_function (phi:fo_formula 'fsymb (option 'b))
+ (m:model 'fsymb 'st) (g:func (list 'st) (func 'b 'st)) : func (list 'st) 'st
= (\ l:list 'st. choice (skolem_predicate phi m rho (g l)) ) *)
- function skolem_function (phi:fo_formula 'ls (option 'b))
- (m:model 'ls 'st) (g:func (list 'st) (func 'b 'st)) : func (list 'st) 'st
- axiom skolem_function_def : forall phi:fo_formula 'ls (option 'b),
- m:model 'ls 'st,g:func (list 'st) (func 'b 'st),l:list 'st.
+ function skolem_function (phi:fo_formula 'fsymb (option 'b))
+ (m:model 'fsymb 'st) (g:func (list 'st) (func 'b 'st)) : func (list 'st) 'st
+ axiom skolem_function_def : forall phi:fo_formula 'fsymb (option 'b),
+ m:model 'fsymb 'st,g:func (list 'st) (func 'b 'st),l:list 'st.
skolem_function phi m g l = choice (skolem_predicate phi m (g l))
-
+
(* Abstraction-definition axiom :
- function skolem_transformer (phi:fo_formula 'ls (option 'b)) (f:'ls)
- (g:func (list 'st) (func 'b 'st)) : func (model 'ls 'st) (model 'ls 'st) =
- (\ m:model 'ls 'st.
+ function skolem_transformer (phi:fo_formula 'fsymb (option 'b)) (f:'fsymb)
+ (g:func (list 'st) (func 'b 'st)) : func (model 'fsymb 'st) (model 'fsymb 'st) =
+ (\ m:model 'fsymb 'st.
{
interp_fun = m.interp_fun[f <- skolem_function phi m g] ;
interp_pred = m.interp_pred ;
}) *)
-
- function skolem_transformer (phi:fo_formula 'ls (option 'b)) (f:'ls)
- (g:func (list 'st) (func 'b 'st)) : func (model 'ls 'st) (model 'ls 'st)
- axiom skolem_transformer_def : forall phi:fo_formula 'ls (option 'b),f:'ls,
- g:func (list 'st) (func 'b 'st), m:model 'ls 'st.
+
+ function skolem_transformer (phi:fo_formula 'fsymb (option 'b)) (f:'fsymb)
+ (g:func (list 'st) (func 'b 'st)) : func (model 'fsymb 'st) (model 'fsymb 'st)
+ axiom skolem_transformer_def : forall phi:fo_formula 'fsymb (option 'b),f:'fsymb,
+ g:func (list 'st) (func 'b 'st), m:model 'fsymb 'st.
skolem_transformer phi f g m = {
interp_fun = m.interp_fun[f <- skolem_function phi m g] ;
interp_pred = m.interp_pred ;
}
-
- let ghost skolem_model_transformer (phi:fo_formula 'ls (option 'b)) (f:'ls)
- (vars:fo_term_list 'ls 'b)
- (g:func (list 'st) (func 'b 'st)) : func (model 'ls 'st) (model 'ls 'st)
+
+ let ghost skolem_model_transformer (phi:fo_formula 'fsymb (option 'b)) (f:'fsymb)
+ (vars:fo_term_list 'fsymb 'b)
+ (g:func (list 'st) (func 'b 'st)) : func (model 'fsymb 'st) (model 'fsymb 'st)
requires { not(is_symbol_free_var_in_fo_formula f phi) }
- requires { forall m:model 'ls 'st, rho:func 'b 'st,x:'b.
+ requires { forall m:model 'fsymb 'st, rho:func 'b 'st,x:'b.
is_fo_term_free_var_in_fo_formula (Some x) phi ->
g (term_list_semantic vars m rho) x = rho x }
requires { not(is_symbol_free_var_in_fo_term_list f vars) }
- ensures { forall m:model 'ls 'st.
+ ensures { forall m:model 'fsymb 'st.
m.interp_pred = (result m).interp_pred }
- ensures { forall m:model 'ls 'st,f0:'ls.
+ ensures { forall m:model 'fsymb 'st,f0:'fsymb.
f0 <> f -> eval m.interp_fun f0 = eval (result m).interp_fun f0 }
- ensures { forall m:model 'ls 'st,rho:func 'b 'st.
+ ensures { forall m:model 'fsymb 'st,rho:func 'b 'st.
formula_semantic (Exists phi) m rho ->
formula_semantic (subst_fo_formula phi subst_id_symbol
(ocase subst_id_fo_term (App (Var_symbol f) vars))) (result m) rho }
@@ -655,7 +655,7 @@ module Sem
let skt = App (Var_symbol f) vars in
let sks = ocase subst_id_fo_term skt in
let phi' = subst_fo_formula phi subst_id_symbol sks in
- assert { forall m:model 'ls 'st,rho:func 'b 'st.
+ assert { forall m:model 'fsymb 'st,rho:func 'b 'st.
let semf = skolem_function phi m g in
let skm = skf m in
let em = term_list_semantic vars m rho in
@@ -675,7 +675,7 @@ module Sem
s1 None = s2 None &&
(forall y:'b. s1 (Some y) = s2 (Some y)) &&
extensionalEqual s1 s2 &&
- (forall f':'ls. is_symbol_free_var_in_fo_formula f' phi ->
+ (forall f':'fsymb. is_symbol_free_var_in_fo_formula f' phi ->
eval m.interp_fun f' = eval skm.interp_fun f' /\
eval m.interp_pred f' = eval skm.interp_pred f') &&
(forall x:'st.
@@ -691,22 +691,22 @@ module Sem
formula_semantic phi' skm rho)
} ;
skf
-
+
(*
- let ghost skolemized_model (phi0:fo_formula 'ls0 'b0) (f0:'ls0)
- (m0:model 'ls0 'st) : model 'ls0 'st
+ let ghost skolemized_model (phi0:fo_formula 'fsymb0 'b0) (f0:'fsymb0)
+ (m0:model 'fsymb0 'st) : model 'fsymb0 'st
requires { is_skolem_axiom phi0 f0 FONil }
requires { forall x:'b0. not(is_fo_term_free_var_in_fo_formula x phi0) }
ensures { forall rho:func 'b0 'st.
formula_semantic phi0 result rho }
ensures { m0.interp_pred = result.interp_pred }
- ensures { forall f':'ls0. f0 <> f' ->
+ ensures { forall f':'fsymb0. f0 <> f' ->
eval m0.interp_fun f' = eval result.interp_fun f' }
=
- let rec aux (phi:fo_formula 'ls 'b) (f:'ls)
- (env:fo_term_list 'ls 'b)
+ let rec aux (phi:fo_formula 'fsymb 'b) (f:'fsymb)
+ (env:fo_term_list 'fsymb 'b)
(g:func (list 'st) (func 'b 'st))
- (m:model 'ls 'st) : model 'ls 'st
+ (m:model 'fsymb 'st) : model 'fsymb 'st
requires { is_skolem_axiom phi f env }
requires { forall rho:func 'b 'st,x:'b.
is_fo_term_free_var_in_fo_formula x phi ->
@@ -715,7 +715,7 @@ module Sem
ensures { forall rho:func 'b 'st.
formula_semantic phi result rho }
ensures { m.interp_pred = result.interp_pred }
- ensures { forall f':'ls. f <> f' ->
+ ensures { forall f':'fsymb. f <> f' ->
eval m.interp_fun f' = eval result.interp_fun f' }
variant { size_fo_formula phi }
=
@@ -762,7 +762,7 @@ module Sem
s1 None = s2 None &&
(forall y:'b. s1 (Some y) = s2 (Some y)) &&
extensionalEqual s1 s2 &&
- (forall f':'ls. is_symbol_free_var_in_fo_formula f' phi2 ->
+ (forall f':'fsymb. is_symbol_free_var_in_fo_formula f' phi2 ->
eval m.interp_fun f' = eval skm.interp_fun f' /\
eval m.interp_pred f' = eval skm.interp_pred f') &&
(forall x:'st.
@@ -780,9 +780,9 @@ module Sem
| _ -> absurd
end in
aux phi0 f0 FONil default m0*)
-
- (*predicate deducible_from (gamma:fo_formula_list 'ls 'b)
- (phi:fo_formula 'ls 'b) (d:demonstration 'ls 'b) =
+
+ (*predicate deducible_from (gamma:fo_formula_list 'fsymb 'b)
+ (phi:fo_formula 'fsymb 'b) (d:demonstration 'fsymb 'b) =
match d with
| Axiom -> formula_list_mem phi gamma
| ModusPonens d1 d2 phi2 -> deducible_from gamma phi2 d1 /\
@@ -827,7 +827,7 @@ module Sem
| Trivial -> phi = FTrue
| Weakening d gamma2 ->
deducible_from gamma2 phi d /\
- (forall phi0:fo_formula 'ls 'b.
+ (forall phi0:fo_formula 'fsymb 'b.
formula_list_mem phi0 gamma2 ->
formula_list_mem phi0 gamma)
| Skolemization d phis f ->
@@ -837,17 +837,17 @@ module Sem
is_skolem_axiom phis f FONil /\
(forall x:'b. not(is_fo_term_free_var_in_fo_formula x phis))
end
-
- let lemma deducible_correct (gamma0:fo_formula_list 'ls 'b0)
- (phi0:fo_formula 'ls 'b0) (d0:demonstration 'ls 'b0)
- (m0:model 'ls 'st0) (rho0:func 'b0 'st0) : unit
+
+ let lemma deducible_correct (gamma0:fo_formula_list 'fsymb 'b0)
+ (phi0:fo_formula 'fsymb 'b0) (d0:demonstration 'fsymb 'b0)
+ (m0:model 'fsymb 'st0) (rho0:func 'b0 'st0) : unit
requires { deducible_from gamma0 phi0 d0 }
requires { formula_list_conj_semantic gamma0 m0 rho0 }
ensures { formula_semantic phi0 m0 rho0 }
=
- let rec ghost aux (gamma:fo_formula_list 'ls 'b)
- (phi:fo_formula 'ls 'b) (d:demonstration 'ls 'b)
- (m:model 'ls 'st) : unit
+ let rec ghost aux (gamma:fo_formula_list 'fsymb 'b)
+ (phi:fo_formula 'fsymb 'b) (d:demonstration 'fsymb 'b)
+ (m:model 'fsymb 'st) : unit
requires { deducible_from gamma phi d }
ensures { forall rho:func 'b 'st.
formula_list_conj_semantic gamma m rho ->
@@ -915,56 +915,56 @@ module Sem
| _ -> absurd
end in
aux gamma0 phi0 d0 m0
-
- predicate entail (gamma:fo_formula_list 'ls 'b)
- (phi:fo_formula 'ls 'b) =
- exists d:demonstration 'ls 'b.
+
+ predicate entail (gamma:fo_formula_list 'fsymb 'b)
+ (phi:fo_formula 'fsymb 'b) =
+ exists d:demonstration 'fsymb 'b.
deducible_from gamma phi d
-
- predicate unsat (gamma:fo_formula_list 'ls 'b) =
+
+ predicate unsat (gamma:fo_formula_list 'fsymb 'b) =
entail gamma FFalse
-
- predicate valid (phi:fo_formula 'ls 'b) =
+
+ predicate valid (phi:fo_formula 'fsymb 'b) =
entail FOFNil phi
-
- lemma entail_correct : forall gamma:fo_formula_list 'ls 'b,
- phi:fo_formula 'ls 'b,m:model 'ls 'st,rho:func 'b 'st.
+
+ lemma entail_correct : forall gamma:fo_formula_list 'fsymb 'b,
+ phi:fo_formula 'fsymb 'b,m:model 'fsymb 'st,rho:func 'b 'st.
entail gamma phi ->
formula_list_conj_semantic gamma m rho -> formula_semantic phi m rho
-
- lemma unsat_correct : forall gamma:fo_formula_list 'ls 'b,
- m:model 'ls 'st,rho:func 'b 'st.
+
+ lemma unsat_correct : forall gamma:fo_formula_list 'fsymb 'b,
+ m:model 'fsymb 'st,rho:func 'b 'st.
unsat gamma -> not(formula_list_conj_semantic gamma m rho)
-
- lemma valid_correct : forall phi:fo_formula 'ls 'b,
- m:model 'ls 'st,rho:func 'b 'st.
+
+ lemma valid_correct : forall phi:fo_formula 'fsymb 'b,
+ m:model 'fsymb 'st,rho:func 'b 'st.
valid phi -> formula_semantic phi m rho
-
- function imply (phi1 phi2:fo_formula 'ls 'b) : fo_formula 'ls 'b =
+
+ function imply (phi1 phi2:fo_formula 'fsymb 'b) : fo_formula 'fsymb 'b =
Or (Not phi1) phi2
-
- function equiv (phi1 phi2:fo_formula 'ls 'b) : fo_formula 'ls 'b =
+
+ function equiv (phi1 phi2:fo_formula 'fsymb 'b) : fo_formula 'fsymb 'b =
And (imply phi1 phi2) (imply phi2 phi1)
-
- type sequent 'ls 'b = {
- demo : demonstration 'ls 'b ;
- context : fo_formula_list 'ls 'b ;
- conclusion : fo_formula 'ls 'b ;
+
+ type sequent 'fsymb 'b = {
+ demo : demonstration 'fsymb 'b ;
+ context : fo_formula_list 'fsymb 'b ;
+ conclusion : fo_formula 'fsymb 'b ;
}
-
- predicate sequent_correct (s:sequent 'ls 'b) =
+
+ predicate sequent_correct (s:sequent 'fsymb 'b) =
deducible_from s.context s.conclusion s.demo
-
- let ghost make_axiom (gamma:fo_formula_list 'ls 'b)
- (phi:fo_formula 'ls 'b) : sequent 'ls 'b
+
+ let ghost make_axiom (gamma:fo_formula_list 'fsymb 'b)
+ (phi:fo_formula 'fsymb 'b) : sequent 'fsymb 'b
requires { formula_list_mem phi gamma }
ensures { sequent_correct result }
ensures { result.context = gamma }
ensures { result.conclusion = phi }
= { demo = Axiom ; context = gamma ; conclusion = phi }
-
- let ghost make_abstraction (s:sequent 'ls 'b) :
- sequent 'ls 'b
+
+ let ghost make_abstraction (s:sequent 'fsymb 'b) :
+ sequent 'fsymb 'b
requires { sequent_correct s }
requires { match s.context with FOFNil -> false | _ -> true end }
ensures { sequent_correct result }
@@ -974,8 +974,8 @@ module Sem
| FOFCons x q -> { demo = Abstraction s.demo x s.conclusion ;
context = q ; conclusion = imply x s.conclusion }
end
-
- let ghost modus_ponens (s1 s2:sequent 'ls 'b) : sequent 'ls 'b
+
+ let ghost modus_ponens (s1 s2:sequent 'fsymb 'b) : sequent 'fsymb 'b
requires { sequent_correct s1 /\ sequent_correct s2 }
requires { match s1.conclusion with
| Or (Not phi1) phi2 -> s2.conclusion = phi1
@@ -991,15 +991,15 @@ module Sem
context = s1.context ;
conclusion = phi2 }
| _ -> absurd end
-
- let ghost make_classical (gamma:fo_formula_list 'ls 'b)
- (phi:fo_formula 'ls 'b) : sequent 'ls 'b
+
+ let ghost make_classical (gamma:fo_formula_list 'fsymb 'b)
+ (phi:fo_formula 'fsymb 'b) : sequent 'fsymb 'b
ensures { sequent_correct result }
ensures { result.context = gamma }
ensures { result.conclusion = Or (Not phi) phi }
= make_abstraction (make_axiom (FOFCons phi gamma) phi)
-
- let ghost disjunction_elimination (s1 s2 s3:sequent 'ls 'b) : sequent 'ls 'b
+
+ let ghost disjunction_elimination (s1 s2 s3:sequent 'fsymb 'b) : sequent 'fsymb 'b
requires { sequent_correct s1 /\ sequent_correct s2 /\ sequent_correct s3 }
requires { match s1.conclusion , s2.conclusion , s3.conclusion with
| Or phi1 phi2 , Or (Not phi1') phi3 , Or (Not phi2') phi3' ->
@@ -1019,9 +1019,9 @@ module Sem
conclusion = phi3 ; }
| _ -> absurd
end
-
- let ghost disjunction_left (s:sequent 'ls 'b) (phi2:fo_formula 'ls 'b) :
- sequent 'ls 'b
+
+ let ghost disjunction_left (s:sequent 'fsymb 'b) (phi2:fo_formula 'fsymb 'b) :
+ sequent 'fsymb 'b
requires { sequent_correct s }
ensures { sequent_correct result }
ensures { result.conclusion = Or s.conclusion phi2 }
@@ -1030,9 +1030,9 @@ module Sem
{ demo = DisjunctionLeft s.demo s.conclusion phi2 ;
context = s.context ;
conclusion = Or s.conclusion phi2 }
-
- let ghost disjunction_right (phi1:fo_formula 'ls 'b) (s:sequent 'ls 'b) :
- sequent 'ls 'b
+
+ let ghost disjunction_right (phi1:fo_formula 'fsymb 'b) (s:sequent 'fsymb 'b) :
+ sequent 'fsymb 'b
requires { sequent_correct s }
ensures { sequent_correct result }
ensures { result.conclusion = Or phi1 s.conclusion }
@@ -1041,8 +1041,8 @@ module Sem
{ demo = DisjunctionRight s.demo phi1 s.conclusion ;
context = s.context ;
conclusion = Or phi1 s.conclusion }
-
- let ghost conjunction (s1 s2:sequent 'ls 'b) : sequent 'ls 'b
+
+ let ghost conjunction (s1 s2:sequent 'fsymb 'b) : sequent 'fsymb 'b
requires { sequent_correct s1 /\ sequent_correct s2 }
requires { s1.context = s2.context }
ensures { sequent_correct result }
@@ -1052,8 +1052,8 @@ module Sem
{ demo = ConjunctionIntro s1.demo s1.conclusion s2.demo s2.conclusion ;
context = s1.context ;
conclusion = And s1.conclusion s2.conclusion }
-
- let ghost conjunction_left (s:sequent 'ls 'b) : sequent 'ls 'b
+
+ let ghost conjunction_left (s:sequent 'fsymb 'b) : sequent 'fsymb 'b
requires { sequent_correct s }
requires { match s.conclusion with And _ _ -> true | _ -> false end }
ensures { sequent_correct result }
@@ -1066,8 +1066,8 @@ module Sem
conclusion = phi1 }
| _ -> absurd
end
-
- let ghost conjunction_right (s:sequent 'ls 'b) : sequent 'ls 'b
+
+ let ghost conjunction_right (s:sequent 'fsymb 'b) : sequent 'fsymb 'b
requires { sequent_correct s }
requires { match s.conclusion with And _ _ -> true | _ -> false end }
ensures { sequent_correct result }
@@ -1080,25 +1080,25 @@ module Sem
conclusion = phi1 }
| _ -> absurd
end
-
- let ghost exfalso (s:sequent 'ls 'b) (phi:fo_formula 'ls 'b) : sequent 'ls 'b
+
+ let ghost exfalso (s:sequent 'fsymb 'b) (phi:fo_formula 'fsymb 'b) : sequent 'fsymb 'b
requires { sequent_correct s }
requires { match s.conclusion with FFalse -> true | _ -> false end }
ensures { sequent_correct result }
ensures { result.context = s.context }
ensures { result.conclusion = phi }
= { demo = ExFalso s.demo ; context = s.context ; conclusion = phi }
-
- let ghost make_trivial (gamma:fo_formula_list 'ls 'b) : sequent 'ls 'b
+
+ let ghost make_trivial (gamma:fo_formula_list 'fsymb 'b) : sequent 'fsymb 'b
ensures { sequent_correct result }
ensures { result.context = gamma }
ensures { result.conclusion = FTrue }
= { demo = Trivial ; context = gamma ; conclusion = FTrue }
-
- let ghost weaken (gamma:fo_formula_list 'ls 'b)
- (s:sequent 'ls 'b) : sequent 'ls 'b
+
+ let ghost weaken (gamma:fo_formula_list 'fsymb 'b)
+ (s:sequent 'fsymb 'b) : sequent 'fsymb 'b
requires { sequent_correct s }
- requires { forall phi:fo_formula 'ls 'b.
+ requires { forall phi:fo_formula 'fsymb 'b.
formula_list_mem phi s.context -> formula_list_mem phi gamma }
ensures { sequent_correct result }
ensures { result.context = gamma }
@@ -1106,8 +1106,8 @@ module Sem
= { demo = Weakening s.demo s.context ;
context = gamma ;
conclusion = s.conclusion }
-
- let ghost skolem_elim (f:'ls) (s:sequent 'ls 'b) : sequent 'ls 'b
+
+ let ghost skolem_elim (f:'fsymb) (s:sequent 'fsymb 'b) : sequent 'fsymb 'b
requires { sequent_correct s }
requires { match s.context with FOFCons phis gamma ->
is_skolem_axiom phis f FONil /\
@@ -1124,8 +1124,8 @@ module Sem
context = gamma ;
conclusion = s.conclusion }
| _ -> absurd end
-
- let ghost conjunction_commutative (s:sequent 'ls 'b) : sequent 'ls 'b
+
+ let ghost conjunction_commutative (s:sequent 'fsymb 'b) : sequent 'fsymb 'b
requires { sequent_correct s }
requires { match s.conclusion with And _ _ -> true | _ -> false end }
ensures { sequent_correct result }
@@ -1133,21 +1133,21 @@ module Sem
ensures { match s.conclusion with And phi1 phi2 ->
result.conclusion = And phi2 phi1 | _ -> false end }
= conjunction (conjunction_right s) (conjunction_left s)
-
- let ghost equiv_reflexive (gamma:fo_formula_list 'ls 'b)
- (phi:fo_formula 'ls 'b) : sequent 'ls 'b
+
+ let ghost equiv_reflexive (gamma:fo_formula_list 'fsymb 'b)
+ (phi:fo_formula 'fsymb 'b) : sequent 'fsymb 'b
ensures { sequent_correct result }
ensures { result.context = gamma }
ensures { result.conclusion = equiv phi phi }
=
let u = make_classical gamma phi in
conjunction u u
-
+
(*
-
- let ghost imply_or_morphism (gamma:fo_formula_list 'ls 'b)
- (phi1 phi2 phi3 phi4:fo_formula 'ls 'b)
- (d1 d2:demonstration 'ls 'b) : demonstration 'ls 'b
+
+ let ghost imply_or_morphism (gamma:fo_formula_list 'fsymb 'b)
+ (phi1 phi2 phi3 phi4:fo_formula 'fsymb 'b)
+ (d1 d2:demonstration 'fsymb 'b) : demonstration 'fsymb 'b
requires { deducible_from gamma (imply phi1 phi3) d1 }
requires { deducible_from gamma (imply phi2 phi4) d2 }
ensures { deducible_from gamma
@@ -1170,10 +1170,10 @@ module Sem
(disjunction_left gamma121 phi3 phi4 d1))
(make_abstraction gamma12 phi2 o34
(disjunction_right gamma122 phi3 phi4 d2))
-
- let ghost equiv_or_morphism (gamma:fo_formula_list 'ls 'b)
- (phi1 phi2 phi3 phi4:fo_formula 'ls 'b)
- (d1 d2:demonstration 'ls 'b) : demonstration 'ls 'b
+
+ let ghost equiv_or_morphism (gamma:fo_formula_list 'fsymb 'b)
+ (phi1 phi2 phi3 phi4:fo_formula 'fsymb 'b)
+ (d1 d2:demonstration 'fsymb 'b) : demonstration 'fsymb 'b
requires { deducible_from gamma (equiv phi1 phi3) d1 }
requires { deducible_from gamma (equiv phi2 phi4) d2 }
ensures { deducible_from gamma
@@ -1188,12 +1188,12 @@ module Sem
(conjunction_right gamma (imply phi2 phi4) (imply phi4 phi2) d2) in
conjunction (imply o12 o34) (imply o34 o12) way1 way2
*)
-
-
+
+
(*
- let ghost disjunction_commutation (gamma:fo_formula_list 'ls 'b)
- (phi1 phi2:fo_formula 'ls 'b) (d:demonstration 'ls 'b) :
- demonstration 'ls 'b
+ let ghost disjunction_commutation (gamma:fo_formula_list 'fsymb 'b)
+ (phi1 phi2:fo_formula 'fsymb 'b) (d:demonstration 'fsymb 'b) :
+ demonstration 'fsymb 'b
requires { deducible_from gamma (Or phi1 phi2) d }
ensures { deducible_from gamma (Or phi2 phi1) result }
=
@@ -1204,10 +1204,10 @@ module Sem
let d1 = make_abstraction gamma phi1 o d1 in
let d2 = make_abstraction gamma phi2 o d2 in
disjunction_elimination gamma phi1 phi2 o d d1 d2
-
- let ghost disjunction_associative_r (gamma:fo_formula_list 'ls 'b)
- (phi1 phi2 phi3:fo_formula 'ls 'b) (d:demonstration 'ls 'b) :
- demonstration 'ls 'b
+
+ let ghost disjunction_associative_r (gamma:fo_formula_list 'fsymb 'b)
+ (phi1 phi2 phi3:fo_formula 'fsymb 'b) (d:demonstration 'fsymb 'b) :
+ demonstration 'fsymb 'b
requires { deducible_from gamma (Or (Or phi1 phi2) phi3) d }
ensures { deducible_from gamma (Or phi1 (Or phi2 phi3)) result }
=
@@ -1232,10 +1232,10 @@ module Sem
let d12 = make_abstraction gamma o12 oa d12 in
let d3 = make_abstraction gamma phi3 oa d3 in
disjunction_elimination gamma o12 phi3 oa d d12 d3
-
- let ghost disjunction_associative_l (gamma:fo_formula_list 'ls 'b)
- (phi1 phi2 phi3:fo_formula 'ls 'b) (d:demonstration 'ls 'b) :
- demonstration 'ls 'b
+
+ let ghost disjunction_associative_l (gamma:fo_formula_list 'fsymb 'b)
+ (phi1 phi2 phi3:fo_formula 'fsymb 'b) (d:demonstration 'fsymb 'b) :
+ demonstration 'fsymb 'b
requires { deducible_from gamma (Or phi1 (Or phi2 phi3)) d }
ensures { deducible_from gamma (Or (Or phi1 phi2) phi3) result }
=
@@ -1261,11 +1261,11 @@ module Sem
let d1 = make_abstraction gamma phi1 oa d1 in
disjunction_elimination gamma phi1 o23 oa d d1 d23
*)
-
+
(*
- let ghost double_negation_elimination (gamma:fo_formula_list 'ls 'b)
- (phi:fo_formula 'ls 'b) (d:demonstration 'ls 'b) :
- demonstration 'ls 'b
+ let ghost double_negation_elimination (gamma:fo_formula_list 'fsymb 'b)
+ (phi:fo_formula 'fsymb 'b) (d:demonstration 'fsymb 'b) :
+ demonstration 'fsymb 'b
requires { deducible_from gamma (Not (Not phi)) d }
ensures { deducible_from gamma phi result }
=
@@ -1275,147 +1275,147 @@ module Sem
let d2 = disjunction_left gamma nnphi phi d in
disjunction_elimination gamma nphi phi phi d0 d2 d0
*)
-
- (*let ghost false_neutral_left_disjunction (gamma:fo_formula_list 'ls 'b)
- (phi:fo_formula 'ls 'b) (d:demonstration 'ls 'b) :
- demonstration 'ls 'b
+
+ (*let ghost false_neutral_left_disjunction (gamma:fo_formula_list 'fsymb 'b)
+ (phi:fo_formula 'fsymb 'b) (d:demonstration 'fsymb 'b) :
+ demonstration 'fsymb 'b
requires { deducible_from gamma (Or FFalse phi) d }
ensures { deducible_from gamma phi result }
=
let d1 = Abstraction (ExFalso Axiom) FFalse phi in
let d2 = Abstraction Axiom phi phi in
DisjunctionElim d d1 d2 FFalse phi
-
- let ghost false_neutral_right_disjunction (gamma:fo_formula_list 'ls 'b)
- (phi:fo_formula 'ls 'b) (d:demonstration 'ls 'b) :
- demonstration 'ls 'b
+
+ let ghost false_neutral_right_disjunction (gamma:fo_formula_list 'fsymb 'b)
+ (phi:fo_formula 'fsymb 'b) (d:demonstration 'fsymb 'b) :
+ demonstration 'fsymb 'b
requires { deducible_from gamma (Or phi FFalse) d }
ensures { deducible_from gamma phi result }
=
false_neutral_left_disjunction gamma phi
(disjunction_commutation gamma phi FFalse d)*)
-
+
(*(* Now we do not need the demonstration object anymore. *)
-
- let lemma entail_axiom (gamma:fo_formula_list 'ls 'b)
- (phi:fo_formula 'ls 'b) : unit
+
+ let lemma entail_axiom (gamma:fo_formula_list 'fsymb 'b)
+ (phi:fo_formula 'fsymb 'b) : unit
requires { formula_list_mem phi gamma }
ensures { entail gamma phi }
=
()
-
- let lemma entail_modus_ponens (gamma:fo_formula_list 'ls 'b)
- (phi1 phi2:fo_formula 'ls 'b) : unit
+
+ let lemma entail_modus_ponens (gamma:fo_formula_list 'fsymb 'b)
+ (phi1 phi2:fo_formula 'fsymb 'b) : unit
requires { entail gamma phi1 /\ entail gamma (Or (Not phi1) phi2) }
ensures { entail gamma phi2 }
=
- assert { forall d1 d2:demonstration 'ls 'b.
+ assert { forall d1 d2:demonstration 'fsymb 'b.
deducible_from gamma phi1 d1 /\
deducible_from gamma (Or (Not phi1) phi2) d2 ->
deducible_from gamma phi2 (ModusPonens d1 d2 phi1) }
-
- let lemma entail_abstraction (gamma:fo_formula_list 'ls 'b)
- (phi1 phi2:fo_formula 'ls 'b) : unit
+
+ let lemma entail_abstraction (gamma:fo_formula_list 'fsymb 'b)
+ (phi1 phi2:fo_formula 'fsymb 'b) : unit
requires { entail (FOFCons phi1 gamma) phi2 }
ensures { entail gamma (Or (Not phi1) phi2) }
=
- assert { forall d:demonstration 'ls 'b.
+ assert { forall d:demonstration 'fsymb 'b.
deducible_from (FOFCons phi1 gamma) phi2 d ->
deducible_from gamma (Or (Not phi1) phi2) (Abstraction d phi1 phi2) }
-
- let lemma entail_conjunction (gamma:fo_formula_list 'ls 'b)
- (phi1 phi2:fo_formula 'ls 'b) : unit
+
+ let lemma entail_conjunction (gamma:fo_formula_list 'fsymb 'b)
+ (phi1 phi2:fo_formula 'fsymb 'b) : unit
ensures { entail gamma (And phi1 phi2)
<-> entail gamma phi1 /\ entail gamma phi2 }
=
- assert { forall d:demonstration 'ls 'b.
+ assert { forall d:demonstration 'fsymb 'b.
deducible_from gamma (And phi1 phi2) d ->
deducible_from gamma phi1 (ConjunctionLeft d phi2) /\
deducible_from gamma phi2 (ConjunctionRight d phi1) } ;
- assert { forall d1 d2:demonstration 'ls 'b.
+ assert { forall d1 d2:demonstration 'fsymb 'b.
deducible_from gamma phi1 d1 /\
deducible_from gamma phi2 d2 ->
deducible_from gamma (And phi1 phi2) (ConjunctionIntro d1 phi1 d2 phi2) }
-
- let lemma entail_disjunction_left (gamma:fo_formula_list 'ls 'b)
- (phi1 phi2:fo_formula 'ls 'b)
+
+ let lemma entail_disjunction_left (gamma:fo_formula_list 'fsymb 'b)
+ (phi1 phi2:fo_formula 'fsymb 'b)
requires { entail gamma phi1 }
ensures { entail gamma (Or phi1 phi2) }
=
- assert { forall d:demonstration 'ls 'b.
+ assert { forall d:demonstration 'fsymb 'b.
deducible_from gamma phi1 d ->
deducible_from gamma (Or phi1 phi2) (DisjunctionLeft d phi1 phi2) }
-
- let lemma entail_disjunction_right (gamma:fo_formula_list 'ls 'b)
- (phi1 phi2:fo_formula 'ls 'b)
+
+ let lemma entail_disjunction_right (gamma:fo_formula_list 'fsymb 'b)
+ (phi1 phi2:fo_formula 'fsymb 'b)
requires { entail gamma phi2 }
ensures { entail gamma (Or phi1 phi2) }
=
- assert { forall d:demonstration 'ls 'b.
+ assert { forall d:demonstration 'fsymb 'b.
deducible_from gamma phi2 d ->
deducible_from gamma (Or phi1 phi2) (DisjunctionRight d phi1 phi2) }
-
- let lemma entail_disjunction_elim (gamma:fo_formula_list 'ls 'b)
- (phi1 phi2 phi3:fo_formula 'ls 'b)
+
+ let lemma entail_disjunction_elim (gamma:fo_formula_list 'fsymb 'b)
+ (phi1 phi2 phi3:fo_formula 'fsymb 'b)
requires { entail gamma (Or phi1 phi2) }
requires { entail gamma (Or (Not phi1) phi3) }
requires { entail gamma (Or (Not phi2) phi3) }
ensures { entail gamma phi3 }
=
- assert { forall d1 d2 d3:demonstration 'ls 'b.
+ assert { forall d1 d2 d3:demonstration 'fsymb 'b.
deducible_from gamma (Or phi1 phi2) d1 /\
deducible_from gamma (Or (Not phi1) phi3) d2 /\
deducible_from gamma (Or (Not phi2) phi3) d3 ->
deducible_from gamma phi3 (DisjunctionElim d1 d2 d3 phi1 phi2) }
-
- let lemma entail_universal_instantiation (gamma:fo_formula_list 'ls 'b)
- (phi:fo_formula 'ls (option 'b)) (t:fo_term 'ls 'b)
+
+ let lemma entail_universal_instantiation (gamma:fo_formula_list 'fsymb 'b)
+ (phi:fo_formula 'fsymb (option 'b)) (t:fo_term 'fsymb 'b)
requires { entail gamma (Forall phi) }
ensures { entail gamma (subst_fo_formula phi
(ocase subst_id_fo_term t)) }
=
- assert { forall d:demonstration 'ls 'b.
+ assert { forall d:demonstration 'fsymb 'b.
deducible_from gamma (Forall phi) d ->
deducible_from gamma (subst_fo_formula phi
(ocase subst_id_fo_term t)) (UniversalInstantiation d phi t) }
-
- let lemma entail_instantiation (gamma:fo_formula_list 'ls 'b)
- (phi:fo_formula 'ls 'b) (x:'b) (t:fo_term 'ls 'b)
+
+ let lemma entail_instantiation (gamma:fo_formula_list 'fsymb 'b)
+ (phi:fo_formula 'fsymb 'b) (x:'b) (t:fo_term 'fsymb 'b)
requires { entail gamma phi }
ensures { let s = subst_id_fo_term[x<-t] in
entail (subst_fo_formula_list gamma s) (subst_fo_formula phi s) }
=
let s = subst_id_fo_term[x<-t] in
- assert { forall d:demonstration 'ls 'b.
+ assert { forall d:demonstration 'fsymb 'b.
deducible_from gamma phi d ->
deducible_from (subst_fo_formula_list gamma s)
(subst_fo_formula phi s) (Instantiation d gamma phi x t) }
-
- let lemma entail_existential_introduction (gamma:fo_formula_list 'ls 'b)
- (phi:fo_formula 'ls (option 'b)) (t:fo_term 'ls 'b)
+
+ let lemma entail_existential_introduction (gamma:fo_formula_list 'fsymb 'b)
+ (phi:fo_formula 'fsymb (option 'b)) (t:fo_term 'fsymb 'b)
requires { entail gamma (subst_fo_formula phi
(ocase subst_id_fo_term t)) }
ensures { entail gamma (Exists phi) }
=
- assert { forall d:demonstration 'ls 'b.
+ assert { forall d:demonstration 'fsymb 'b.
deducible_from gamma (subst_fo_formula phi
(ocase subst_id_fo_term t)) d ->
deducible_from gamma (Exists phi) (ExistentialIntroduction d phi t) }
-
- let lemma entail_existential_elimination (gamma:fo_formula_list 'ls 'b)
- (phi1 phi2:fo_formula 'ls (option 'b))
+
+ let lemma entail_existential_elimination (gamma:fo_formula_list 'fsymb 'b)
+ (phi1 phi2:fo_formula 'fsymb (option 'b))
requires { entail gamma (Forall (Or (Not phi1) phi2)) }
requires { entail gamma (Exists phi1) }
ensures { entail gamma (Exists phi2) }
=
- assert { forall d1 d2:demonstration 'ls 'b.
+ assert { forall d1 d2:demonstration 'fsymb 'b.
deducible_from gamma (Forall (Or (Not phi1) phi2)) d1 /\
deducible_from gamma (Exists phi1) d2 ->
deducible_from gamma (Exists phi2)
(ExistentialElimination d1 d2 phi1 phi2) }
-
- let lemma disjunction_commutative (gamma:fo_formula_list 'ls 'b)
- (phi1 phi2:fo_formula 'ls 'b)
+
+ let lemma disjunction_commutative (gamma:fo_formula_list 'fsymb 'b)
+ (phi1 phi2:fo_formula 'fsymb 'b)
requires { entail gamma (Or phi1 phi2) }
ensures { entail gamma (Or phi2 phi1) }
=
@@ -1426,4 +1426,3 @@ module Sem
entail_disjunction_elim gamma phi1 phi2 (Or phi2 phi1)*)
*)
end
-
diff --git a/examples/in_progress/prover/Firstorder_semantics/why3session.xml b/examples/in_progress/prover/Firstorder_semantics/why3session.xml
index 010b35b177..caf5c0af27 100644
--- a/examples/in_progress/prover/Firstorder_semantics/why3session.xml
+++ b/examples/in_progress/prover/Firstorder_semantics/why3session.xml
@@ -1,4488 +1,627 @@
<?xml version="1.0" encoding="UTF-8"?>
-<!DOCTYPE why3session PUBLIC "-//Why3//proof session v2//EN" "http://why3.lri.fr/why3session.dtd">
-<why3session shape_version="3">
- <prover
- id="0"
- name="Alt-Ergo"
- version="0.95.1"/>
- <prover
- id="1"
- name="Alt-Ergo"
- version="0.95.1"
- alternative="models"/>
- <prover
- id="2"
- name="CVC3"
- version="2.4.1"/>
- <prover
- id="3"
- name="CVC4"
- version="1.0"/>
- <prover
- id="4"
- name="Eprover"
- version="1.6"/>
- <prover
- id="5"
- name="Spass"
- version="3.5"/>
- <prover
- id="6"
- name="Vampire"
- version="0.6"/>
- <prover
- id="7"
- name="Yices"
- version="1.0.38"/>
- <prover
- id="8"
- name="Z3"
- version="4.3.1"/>
- <file
- name="../Firstorder_semantics.mlw"
- verified="true"
- expanded="true">
- <theory
- name="Sem"
- locfile="../Firstorder_semantics.mlw"
- loclnum="2" loccnumb="7" loccnume="10"
- verified="true"
- expanded="true">
- <goal
- name="model_rename_id"
- locfile="../Firstorder_semantics.mlw"
- loclnum="114" loccnumb="8" loccnume="23"
- sum="7b186f8a27a907064b8309e503108e66"
- proved="true"
- expanded="false"
- shape="ainfix =amodel_renameaidentityV0V0F">
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.08"/>
- </proof>
+<!DOCTYPE why3session PUBLIC "-//Why3//proof session v5//EN"
+"http://why3.lri.fr/why3session.dtd">
+<why3session shape_version="4">
+<prover id="2" name="CVC3" version="2.4.1" timelimit="5" memlimit="1000"/>
+<prover id="9" name="Alt-Ergo" version="0.99.1" timelimit="5" memlimit="1000"/>
+<prover id="10" name="CVC4" version="1.4" timelimit="5" memlimit="1000"/>
+<prover id="11" name="Spass" version="3.7" timelimit="5" memlimit="1000"/>
+<file name="../Firstorder_semantics.mlw" expanded="true">
+<theory name="Sem" sum="0d8bfbad0d06c21fc7905b483aeffe1d" expanded="true">
+ <goal name="model_rename_id">
+ <proof prover="9"><result status="valid" time="0.08" steps="10"/></proof>
+ </goal>
+ <goal name="WP_parameter term_semantic_subst_commutation" expl="VC for term_semantic_subst_commutation">
+ <transf name="split_goal_wp">
+ <goal name="WP_parameter term_semantic_subst_commutation.1" expl="1. postcondition">
+ <proof prover="9"><result status="valid" time="0.07" steps="11"/></proof>
+ </goal>
+ <goal name="WP_parameter term_semantic_subst_commutation.2" expl="2. variant decrease">
+ <proof prover="9"><result status="valid" time="0.08" steps="10"/></proof>
+ </goal>
+ <goal name="WP_parameter term_semantic_subst_commutation.3" expl="3. assertion">
+ <proof prover="9"><result status="valid" time="0.08" steps="41"/></proof>
+ </goal>
+ <goal name="WP_parameter term_semantic_subst_commutation.4" expl="4. assertion">
+ <proof prover="9"><result status="valid" time="0.06" steps="9"/></proof>
+ </goal>
+ <goal name="WP_parameter term_semantic_subst_commutation.5" expl="5. postcondition">
+ <proof prover="9"><result status="valid" time="0.10" steps="10"/></proof>
+ </goal>
+ </transf>
+ </goal>
+ <goal name="WP_parameter term_list_semantic_subst_commutation" expl="VC for term_list_semantic_subst_commutation">
+ <transf name="split_goal_wp">
+ <goal name="WP_parameter term_list_semantic_subst_commutation.1" expl="1. postcondition">
+ <proof prover="9"><result status="valid" time="0.10" steps="11"/></proof>
+ </goal>
+ <goal name="WP_parameter term_list_semantic_subst_commutation.2" expl="2. variant decrease">
+ <proof prover="9"><result status="valid" time="0.10" steps="8"/></proof>
+ </goal>
+ <goal name="WP_parameter term_list_semantic_subst_commutation.3" expl="3. variant decrease">
+ <proof prover="9"><result status="valid" time="0.09" steps="9"/></proof>
+ </goal>
+ <goal name="WP_parameter term_list_semantic_subst_commutation.4" expl="4. postcondition">
+ <proof prover="9"><result status="valid" time="0.10" steps="22"/></proof>
+ </goal>
+ </transf>
+ </goal>
+ <goal name="WP_parameter term_list_semantic_rename_commutation" expl="VC for term_list_semantic_rename_commutation">
+ <transf name="split_goal_wp">
+ <goal name="WP_parameter term_list_semantic_rename_commutation.1" expl="1. assertion">
+ <proof prover="9"><result status="valid" time="0.11" steps="58"/></proof>
+ </goal>
+ <goal name="WP_parameter term_list_semantic_rename_commutation.2" expl="2. postcondition">
+ <proof prover="9"><result status="valid" time="0.08" steps="22"/></proof>
+ </goal>
+ </transf>
+ </goal>
+ <goal name="WP_parameter term_semantic_rename_commutation" expl="VC for term_semantic_rename_commutation">
+ <transf name="split_goal_wp">
+ <goal name="WP_parameter term_semantic_rename_commutation.1" expl="1. assertion">
+ <proof prover="9"><result status="valid" time="0.09" steps="35"/></proof>
+ </goal>
+ <goal name="WP_parameter term_semantic_rename_commutation.2" expl="2. postcondition">
+ <proof prover="9"><result status="valid" time="0.10" steps="44"/></proof>
+ </goal>
+ </transf>
+ </goal>
+ <goal name="WP_parameter semantic_lifting_commutation" expl="VC for semantic_lifting_commutation">
+ <transf name="split_goal_wp">
+ <goal name="WP_parameter semantic_lifting_commutation.1" expl="1. assertion">
+ <transf name="split_goal_wp">
+ <goal name="WP_parameter semantic_lifting_commutation.1.1" expl="1. assertion">
+ <proof prover="9"><result status="valid" time="0.08" steps="36"/></proof>
</goal>
- <goal
- name="WP_parameter term_semantic_subst_commutation"
- locfile="../Firstorder_semantics.mlw"
- loclnum="123" loccnumb="16" loccnume="47"
- expl="VC for term_semantic_subst_commutation"
- sum="9e122cfc4939e10801bd5290b2b335c0"
- proved="true"
- expanded="false"
- shape="Cainfix =aterm_semanticasubst_fo_termV0arcomposeV4asubst_id_symbolV5V6V3aterm_semanticV0amodel_renameV4V6asemantic_substV5V6V3aVar_fo_termVainfix =aterm_semanticasubst_fo_termV0arcomposeV4asubst_id_symbolV5V6V3aterm_semanticV0amodel_renameV4V6asemantic_substV5V6V3Aainfix =ainfix @!aevalV1ainfix @!V4V8V12ainfix @!aevalainterp_funV11V8V12Laterm_list_semanticV9V11asemantic_substV5V6V3Lamodel_renameV4V6Aainfix =asubst_fo_termV0V10V5aAppaVar_symbolainfix @!V4V8asubst_fo_term_listV9V10V5LarcomposeV4asubst_id_symbolIainfix =aterm_list_semanticasubst_fo_term_listV9arcomposeV4asubst_id_symbolV5V6V3aterm_list_semanticV9amodel_renameV4V6asemantic_substV5V6V3Aainfix <asize_fo_term_listV9asize_fo_termV0Aainfix <=c0asize_fo_termV0aAppaVar_symbolVVV0Lamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for term_semantic_subst_commutation"/>
- <transf
- name="split_goal_wp"
- proved="true"
- expanded="false">
- <goal
- name="WP_parameter term_semantic_subst_commutation.1"
- locfile="../Firstorder_semantics.mlw"
- loclnum="123" loccnumb="16" loccnume="47"
- expl="1. postcondition"
- sum="a21ec32e3df8e06135552dab73ebe8b6"
- proved="true"
- expanded="false"
- shape="postconditionCainfix =aterm_semanticasubst_fo_termV0arcomposeV4asubst_id_symbolV5V6V3aterm_semanticV0amodel_renameV4V6asemantic_substV5V6V3aVar_fo_termVtaAppaVar_symbolVVV0Lamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for term_semantic_subst_commutation"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.07"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter term_semantic_subst_commutation.2"
- locfile="../Firstorder_semantics.mlw"
- loclnum="123" loccnumb="16" loccnume="47"
- expl="2. variant decrease"
- sum="4302c7bfed814d3aeaa56c04c481f1c8"
- proved="true"
- expanded="false"
- shape="variant decreaseCtaVar_fo_termVainfix <asize_fo_term_listV9asize_fo_termV0Aainfix <=c0asize_fo_termV0aAppaVar_symbolVVV0Lamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for term_semantic_subst_commutation"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.08"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter term_semantic_subst_commutation.3"
- locfile="../Firstorder_semantics.mlw"
- loclnum="123" loccnumb="16" loccnume="47"
- expl="3. assertion"
- sum="377f15b79f0f677fc1c4457fa71025cb"
- proved="true"
- expanded="false"
- shape="assertionCtaVar_fo_termVainfix =asubst_fo_termV0V10V5aAppaVar_symbolainfix @!V4V8asubst_fo_term_listV9V10V5LarcomposeV4asubst_id_symbolIainfix =aterm_list_semanticasubst_fo_term_listV9arcomposeV4asubst_id_symbolV5V6V3aterm_list_semanticV9amodel_renameV4V6asemantic_substV5V6V3aAppaVar_symbolVVV0Lamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for term_semantic_subst_commutation"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.08"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter term_semantic_subst_commutation.4"
- locfile="../Firstorder_semantics.mlw"
- loclnum="123" loccnumb="16" loccnume="47"
- expl="4. assertion"
- sum="2e7cfcf8e5ae61881a5f68c93d55213e"
- proved="true"
- expanded="false"
- shape="assertionCtaVar_fo_termVainfix =ainfix @!aevalV1ainfix @!V4V8V12ainfix @!aevalainterp_funV11V8V12Laterm_list_semanticV9V11asemantic_substV5V6V3Lamodel_renameV4V6Iainfix =asubst_fo_termV0V10V5aAppaVar_symbolainfix @!V4V8asubst_fo_term_listV9V10V5LarcomposeV4asubst_id_symbolIainfix =aterm_list_semanticasubst_fo_term_listV9arcomposeV4asubst_id_symbolV5V6V3aterm_list_semanticV9amodel_renameV4V6asemantic_substV5V6V3aAppaVar_symbolVVV0Lamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for term_semantic_subst_commutation"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.06"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter term_semantic_subst_commutation.5"
- locfile="../Firstorder_semantics.mlw"
- loclnum="123" loccnumb="16" loccnume="47"
- expl="5. postcondition"
- sum="92f8f0d556b8a6d4f47da4653a2282ac"
- proved="true"
- expanded="false"
- shape="postconditionCtaVar_fo_termVainfix =aterm_semanticasubst_fo_termV0arcomposeV4asubst_id_symbolV5V6V3aterm_semanticV0amodel_renameV4V6asemantic_substV5V6V3Iainfix =ainfix @!aevalV1ainfix @!V4V8V12ainfix @!aevalainterp_funV11V8V12Laterm_list_semanticV9V11asemantic_substV5V6V3Lamodel_renameV4V6Iainfix =asubst_fo_termV0V10V5aAppaVar_symbolainfix @!V4V8asubst_fo_term_listV9V10V5LarcomposeV4asubst_id_symbolIainfix =aterm_list_semanticasubst_fo_term_listV9arcomposeV4asubst_id_symbolV5V6V3aterm_list_semanticV9amodel_renameV4V6asemantic_substV5V6V3aAppaVar_symbolVVV0Lamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for term_semantic_subst_commutation"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.10"/>
- </proof>
- </goal>
- </transf>
+ <goal name="WP_parameter semantic_lifting_commutation.1.2" expl="2. assertion">
+ <proof prover="9"><result status="valid" time="0.28" steps="137"/></proof>
</goal>
- <goal
- name="WP_parameter term_list_semantic_subst_commutation"
- locfile="../Firstorder_semantics.mlw"
- loclnum="145" loccnumb="13" loccnume="49"
- expl="VC for term_list_semantic_subst_commutation"
- sum="40143879d81300e449b20ce5b68576c6"
- proved="true"
- expanded="false"
- shape="Cainfix =aterm_list_semanticasubst_fo_term_listV0arcomposeV4asubst_id_symbolV5V6V3aterm_list_semanticV0amodel_renameV4V6asemantic_substV5V6V3aFONilainfix =aterm_list_semanticasubst_fo_term_listV0arcomposeV4asubst_id_symbolV5V6V3aterm_list_semanticV0amodel_renameV4V6asemantic_substV5V6V3Iainfix =aterm_list_semanticasubst_fo_term_listV8arcomposeV4asubst_id_symbolV5V6V3aterm_list_semanticV8amodel_renameV4V6asemantic_substV5V6V3Aainfix <asize_fo_term_listV8asize_fo_term_listV0Aainfix <=c0asize_fo_term_listV0Iainfix =aterm_semanticasubst_fo_termV7arcomposeV4asubst_id_symbolV5V6V3aterm_semanticV7amodel_renameV4V6asemantic_substV5V6V3Aainfix <asize_fo_termV7asize_fo_term_listV0Aainfix <=c0asize_fo_term_listV0aFOConsVVV0Lamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for term_list_semantic_subst_commutation"/>
- <transf
- name="split_goal_wp"
- proved="true"
- expanded="false">
- <goal
- name="WP_parameter term_list_semantic_subst_commutation.1"
- locfile="../Firstorder_semantics.mlw"
- loclnum="145" loccnumb="13" loccnume="49"
- expl="1. postcondition"
- sum="c8a49e57709f5652c60f8bc9418cb68d"
- proved="true"
- expanded="false"
- shape="postconditionCainfix =aterm_list_semanticasubst_fo_term_listV0arcomposeV4asubst_id_symbolV5V6V3aterm_list_semanticV0amodel_renameV4V6asemantic_substV5V6V3aFONiltaFOConsVVV0Lamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for term_list_semantic_subst_commutation"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.10"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter term_list_semantic_subst_commutation.2"
- locfile="../Firstorder_semantics.mlw"
- loclnum="145" loccnumb="13" loccnume="49"
- expl="2. variant decrease"
- sum="dd2158b2bce46eca4418391b01005dbd"
- proved="true"
- expanded="false"
- shape="variant decreaseCtaFONilainfix <asize_fo_termV7asize_fo_term_listV0Aainfix <=c0asize_fo_term_listV0aFOConsVVV0Lamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for term_list_semantic_subst_commutation"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.10"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter term_list_semantic_subst_commutation.3"
- locfile="../Firstorder_semantics.mlw"
- loclnum="145" loccnumb="13" loccnume="49"
- expl="3. variant decrease"
- sum="35b4c1e52018bde89084767e8db7d2de"
- proved="true"
- expanded="false"
- shape="variant decreaseCtaFONilainfix <asize_fo_term_listV8asize_fo_term_listV0Aainfix <=c0asize_fo_term_listV0Iainfix =aterm_semanticasubst_fo_termV7arcomposeV4asubst_id_symbolV5V6V3aterm_semanticV7amodel_renameV4V6asemantic_substV5V6V3aFOConsVVV0Lamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for term_list_semantic_subst_commutation"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.09"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter term_list_semantic_subst_commutation.4"
- locfile="../Firstorder_semantics.mlw"
- loclnum="145" loccnumb="13" loccnume="49"
- expl="4. postcondition"
- sum="a7f868cd6001c7d9ba653b2c45e52634"
- proved="true"
- expanded="false"
- shape="postconditionCtaFONilainfix =aterm_list_semanticasubst_fo_term_listV0arcomposeV4asubst_id_symbolV5V6V3aterm_list_semanticV0amodel_renameV4V6asemantic_substV5V6V3Iainfix =aterm_list_semanticasubst_fo_term_listV8arcomposeV4asubst_id_symbolV5V6V3aterm_list_semanticV8amodel_renameV4V6asemantic_substV5V6V3Iainfix =aterm_semanticasubst_fo_termV7arcomposeV4asubst_id_symbolV5V6V3aterm_semanticV7amodel_renameV4V6asemantic_substV5V6V3aFOConsVVV0Lamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for term_list_semantic_subst_commutation"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.10"/>
- </proof>
- </goal>
- </transf>
+ <goal name="WP_parameter semantic_lifting_commutation.1.3" expl="3. assertion">
+ <proof prover="9"><result status="valid" time="0.10" steps="13"/></proof>
</goal>
- <goal
- name="WP_parameter term_list_semantic_rename_commutation"
- locfile="../Firstorder_semantics.mlw"
- loclnum="161" loccnumb="12" loccnume="49"
- expl="VC for term_list_semantic_rename_commutation"
- sum="68fc6d4131cb9be7424140620ef746e6"
- proved="true"
- expanded="false"
- shape="ainfix =aterm_list_semanticarename_fo_term_listV0V4V5V6V3aterm_list_semanticV0amodel_renameV4V6arcomposeV5V3Aainfix =V7V8AaextensionalEqualV7V8Lasemantic_substarcomposeV5asubst_id_fo_termV6V3LarcomposeV5V3Lamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for term_list_semantic_rename_commutation"/>
- <transf
- name="split_goal_wp"
- proved="true"
- expanded="false">
- <goal
- name="WP_parameter term_list_semantic_rename_commutation.1"
- locfile="../Firstorder_semantics.mlw"
- loclnum="161" loccnumb="12" loccnume="49"
- expl="1. assertion"
- sum="5c355c69f67ebd26beb378a43eb97ddc"
- proved="true"
- expanded="false"
- shape="assertionainfix =V7V8AaextensionalEqualV7V8Lasemantic_substarcomposeV5asubst_id_fo_termV6V3LarcomposeV5V3Lamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for term_list_semantic_rename_commutation"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.11"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter term_list_semantic_rename_commutation.2"
- locfile="../Firstorder_semantics.mlw"
- loclnum="161" loccnumb="12" loccnume="49"
- expl="2. postcondition"
- sum="5a873c94077736cc87c986f51a5922b0"
- proved="true"
- expanded="false"
- shape="postconditionainfix =aterm_list_semanticarename_fo_term_listV0V4V5V6V3aterm_list_semanticV0amodel_renameV4V6arcomposeV5V3Iainfix =V7V8AaextensionalEqualV7V8Lasemantic_substarcomposeV5asubst_id_fo_termV6V3LarcomposeV5V3Lamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for term_list_semantic_rename_commutation"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.08"/>
- </proof>
- </goal>
- </transf>
+ </transf>
+ </goal>
+ <goal name="WP_parameter semantic_lifting_commutation.2" expl="2. assertion">
+ <proof prover="9"><result status="valid" time="0.08" steps="12"/></proof>
+ </goal>
+ <goal name="WP_parameter semantic_lifting_commutation.3" expl="3. postcondition">
+ <proof prover="9"><result status="valid" time="0.10" steps="16"/></proof>
+ </goal>
+ </transf>
+ </goal>
+ <goal name="WP_parameter formula_semantic_subst_commutation" expl="VC for formula_semantic_subst_commutation">
+ <transf name="split_goal_wp">
+ <goal name="WP_parameter formula_semantic_subst_commutation.1" expl="1. variant decrease">
+ <proof prover="9"><result status="valid" time="0.08" steps="10"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_semantic_subst_commutation.2" expl="2. assertion">
+ <proof prover="2"><result status="valid" time="0.69"/></proof>
+ <proof prover="10"><result status="valid" time="0.57"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_semantic_subst_commutation.3" expl="3. postcondition">
+ <proof prover="9"><result status="valid" time="0.16" steps="132"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_semantic_subst_commutation.4" expl="4. variant decrease">
+ <proof prover="9"><result status="valid" time="0.09" steps="10"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_semantic_subst_commutation.5" expl="5. assertion">
+ <proof prover="2"><result status="valid" time="0.56"/></proof>
+ <proof prover="10"><result status="valid" time="0.82"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_semantic_subst_commutation.6" expl="6. postcondition">
+ <proof prover="9"><result status="valid" time="0.18" steps="137"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_semantic_subst_commutation.7" expl="7. variant decrease">
+ <proof prover="9"><result status="valid" time="0.10" steps="12"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_semantic_subst_commutation.8" expl="8. variant decrease">
+ <proof prover="9"><result status="valid" time="0.10" steps="12"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_semantic_subst_commutation.9" expl="9. postcondition">
+ <proof prover="9"><result status="valid" time="0.19" steps="128"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_semantic_subst_commutation.10" expl="10. variant decrease">
+ <proof prover="9"><result status="valid" time="0.09" steps="12"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_semantic_subst_commutation.11" expl="11. variant decrease">
+ <proof prover="9"><result status="valid" time="0.10" steps="12"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_semantic_subst_commutation.12" expl="12. postcondition">
+ <proof prover="9"><result status="valid" time="0.18" steps="141"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_semantic_subst_commutation.13" expl="13. variant decrease">
+ <proof prover="9"><result status="valid" time="0.09" steps="8"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_semantic_subst_commutation.14" expl="14. assertion">
+ <proof prover="2"><result status="valid" time="1.37"/></proof>
+ <proof prover="10"><result status="valid" time="0.77"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_semantic_subst_commutation.15" expl="15. postcondition">
+ <proof prover="9"><result status="valid" time="0.10" steps="17"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_semantic_subst_commutation.16" expl="16. postcondition">
+ <proof prover="9"><result status="valid" time="0.10" steps="13"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_semantic_subst_commutation.17" expl="17. postcondition">
+ <proof prover="9"><result status="valid" time="0.10" steps="13"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_semantic_subst_commutation.18" expl="18. assertion">
+ <proof prover="9"><result status="valid" time="0.12" steps="47"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_semantic_subst_commutation.19" expl="19. assertion">
+ <transf name="split_goal_wp">
+ <goal name="WP_parameter formula_semantic_subst_commutation.19.1" expl="1. assertion">
+ <proof prover="9"><result status="valid" time="0.08" steps="7"/></proof>
</goal>
- <goal
- name="WP_parameter term_semantic_rename_commutation"
- locfile="../Firstorder_semantics.mlw"
- loclnum="173" loccnumb="12" loccnume="44"
- expl="VC for term_semantic_rename_commutation"
- sum="ff10d0c746e1e04052bbee15e836c892"
- proved="true"
- expanded="false"
- shape="ainfix =aterm_semanticarename_fo_termV0V4V5V6V3aterm_semanticV0amodel_renameV4V6arcomposeV5V3AaextensionalEqualarcomposeV5V3asemantic_substasubst_of_rename_fo_termV5V6V3Lamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for term_semantic_rename_commutation"/>
- <transf
- name="split_goal_wp"
- proved="true"
- expanded="false">
- <goal
- name="WP_parameter term_semantic_rename_commutation.1"
- locfile="../Firstorder_semantics.mlw"
- loclnum="173" loccnumb="12" loccnume="44"
- expl="1. assertion"
- sum="019dc823b6c8395e2d5b1ac217bfdd6a"
- proved="true"
- expanded="false"
- shape="assertionaextensionalEqualarcomposeV5V3asemantic_substasubst_of_rename_fo_termV5V6V3Lamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for term_semantic_rename_commutation"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.09"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter term_semantic_rename_commutation.2"
- locfile="../Firstorder_semantics.mlw"
- loclnum="173" loccnumb="12" loccnume="44"
- expl="2. postcondition"
- sum="01480006c820ff6c7e048deaa081ddd4"
- proved="true"
- expanded="false"
- shape="postconditionainfix =aterm_semanticarename_fo_termV0V4V5V6V3aterm_semanticV0amodel_renameV4V6arcomposeV5V3IaextensionalEqualarcomposeV5V3asemantic_substasubst_of_rename_fo_termV5V6V3Lamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for term_semantic_rename_commutation"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.10"/>
- </proof>
- </goal>
- </transf>
+ <goal name="WP_parameter formula_semantic_subst_commutation.19.2" expl="2. assertion">
+ <proof prover="9"><result status="valid" time="0.10" steps="9"/></proof>
</goal>
- <goal
- name="WP_parameter semantic_lifting_commutation"
- locfile="../Firstorder_semantics.mlw"
- loclnum="183" loccnumb="12" loccnume="40"
- expl="VC for semantic_lifting_commutation"
- sum="5a19e619e5836712bd96560d1de278b5"
- proved="true"
- expanded="false"
- shape="ainfix =asemantic_substaolifts_fo_termV0V5aocaseV1V4aocaseasemantic_substV0V5V1V4AaextensionalEqualV6V7Aainfix =ainfix @!V6V8ainfix @!V7V8ACainfix =ainfix @!V6aNoneainfix @!V7aNoneaNoneainfix =ainfix @!V6aSomeV9ainfix @!V7aSomeV9aSomeVV8FLaocaseasemantic_substV0V5V1V4Lasemantic_substaolifts_fo_termV0V5aocaseV1V4Lamk modelV2V3F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for semantic_lifting_commutation"/>
- <transf
- name="split_goal_wp"
- proved="true"
- expanded="false">
- <goal
- name="WP_parameter semantic_lifting_commutation.1"
- locfile="../Firstorder_semantics.mlw"
- loclnum="183" loccnumb="12" loccnume="40"
- expl="1. assertion"
- sum="d99c8bdc26c26e3d019008c95f266695"
- proved="true"
- expanded="false"
- shape="assertionainfix =ainfix @!V6V8ainfix @!V7V8ACainfix =ainfix @!V6aNoneainfix @!V7aNoneaNoneainfix =ainfix @!V6aSomeV9ainfix @!V7aSomeV9aSomeVV8FLaocaseasemantic_substV0V5V1V4Lasemantic_substaolifts_fo_termV0V5aocaseV1V4Lamk modelV2V3F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for semantic_lifting_commutation"/>
- <transf
- name="split_goal_wp"
- proved="true"
- expanded="false">
- <goal
- name="WP_parameter semantic_lifting_commutation.1.1"
- locfile="../Firstorder_semantics.mlw"
- loclnum="183" loccnumb="12" loccnume="40"
- expl="1. assertion"
- sum="cbbdf8220cb6a9321b588a5e43b8ec1f"
- proved="true"
- expanded="false"
- shape="assertionCainfix =ainfix @!V6aNoneainfix @!V7aNoneaNonetaSomeVV8FLaocaseasemantic_substV0V5V1V4Lasemantic_substaolifts_fo_termV0V5aocaseV1V4Lamk modelV2V3F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for semantic_lifting_commutation"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.08"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter semantic_lifting_commutation.1.2"
- locfile="../Firstorder_semantics.mlw"
- loclnum="183" loccnumb="12" loccnume="40"
- expl="2. assertion"
- sum="c20d37853d2e2357be10b32a9ed3fd8b"
- proved="true"
- expanded="false"
- shape="assertionCtaNoneainfix =ainfix @!V6aSomeV9ainfix @!V7aSomeV9aSomeVV8FLaocaseasemantic_substV0V5V1V4Lasemantic_substaolifts_fo_termV0V5aocaseV1V4Lamk modelV2V3F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for semantic_lifting_commutation"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.28"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter semantic_lifting_commutation.1.3"
- locfile="../Firstorder_semantics.mlw"
- loclnum="183" loccnumb="12" loccnume="40"
- expl="3. assertion"
- sum="c68ca8b60e17dd230dafed99d801a1c5"
- proved="true"
- expanded="false"
- shape="assertionainfix =ainfix @!V6V8ainfix @!V7V8ICainfix =ainfix @!V6aNoneainfix @!V7aNoneaNoneainfix =ainfix @!V6aSomeV9ainfix @!V7aSomeV9aSomeVV8FLaocaseasemantic_substV0V5V1V4Lasemantic_substaolifts_fo_termV0V5aocaseV1V4Lamk modelV2V3F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for semantic_lifting_commutation"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.10"/>
- </proof>
- </goal>
- </transf>
- </goal>
- <goal
- name="WP_parameter semantic_lifting_commutation.2"
- locfile="../Firstorder_semantics.mlw"
- loclnum="183" loccnumb="12" loccnume="40"
- expl="2. assertion"
- sum="f095554259284056f3ae83585c74165f"
- proved="true"
- expanded="false"
- shape="assertionaextensionalEqualV6V7Iainfix =ainfix @!V6V8ainfix @!V7V8ACainfix =ainfix @!V6aNoneainfix @!V7aNoneaNoneainfix =ainfix @!V6aSomeV9ainfix @!V7aSomeV9aSomeVV8FLaocaseasemantic_substV0V5V1V4Lasemantic_substaolifts_fo_termV0V5aocaseV1V4Lamk modelV2V3F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for semantic_lifting_commutation"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.08"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter semantic_lifting_commutation.3"
- locfile="../Firstorder_semantics.mlw"
- loclnum="183" loccnumb="12" loccnume="40"
- expl="3. postcondition"
- sum="167371aaa436cc2f8c78892e62f352e7"
- proved="true"
- expanded="false"
- shape="postconditionainfix =asemantic_substaolifts_fo_termV0V5aocaseV1V4aocaseasemantic_substV0V5V1V4IaextensionalEqualV6V7Iainfix =ainfix @!V6V8ainfix @!V7V8ACainfix =ainfix @!V6aNoneainfix @!V7aNoneaNoneainfix =ainfix @!V6aSomeV9ainfix @!V7aSomeV9aSomeVV8FLaocaseasemantic_substV0V5V1V4Lasemantic_substaolifts_fo_termV0V5aocaseV1V4Lamk modelV2V3F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for semantic_lifting_commutation"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.10"/>
- </proof>
- </goal>
- </transf>
+ <goal name="WP_parameter formula_semantic_subst_commutation.19.3" expl="3. assertion">
+ <proof prover="9"><result status="valid" time="0.10" steps="9"/></proof>
</goal>
- <goal
- name="WP_parameter formula_semantic_subst_commutation"
- locfile="../Firstorder_semantics.mlw"
- loclnum="199" loccnumb="12" loccnume="46"
- expl="VC for formula_semantic_subst_commutation"
- sum="1771b62d3138b50ed90824dd00adabca"
- proved="true"
- expanded="false"
- shape="aformula_semanticV0amodel_renameV3V6asemantic_substV4V6V5qaformula_semanticasubst_fo_formulaV0arcomposeV3asubst_id_symbolV4V6V5Iaformula_semanticV0amodel_renameV3V6asemantic_substV4V6V7qaformula_semanticasubst_fo_formulaV0arcomposeV3asubst_id_symbolV4V6V7FACaformula_semanticV8amodel_renameV11V13asemantic_substV12V13V17qaformula_semanticasubst_fo_formulaV8arcomposeV11asubst_id_symbolV12V13V17FAainfix =asubst_fo_formulaV8V14V12aForallasubst_fo_formulaV15V14V16Iaformula_semanticV15amodel_renameV11V13asemantic_substV16V13V18qaformula_semanticasubst_fo_formulaV15arcomposeV11asubst_id_symbolV16V13V18FAainfix <asize_fo_formulaV15asize_fo_formulaV8Aainfix <=c0asize_fo_formulaV8Laolifts_fo_termV12aForallVaformula_semanticV8amodel_renameV11V13asemantic_substV12V13V21qaformula_semanticasubst_fo_formulaV8arcomposeV11asubst_id_symbolV12V13V21FAainfix =asubst_fo_formulaV8V14V12aExistsasubst_fo_formulaV19V14V20Iaformula_semanticV19amodel_renameV11V13asemantic_substV20V13V22qaformula_semanticasubst_fo_formulaV19arcomposeV11asubst_id_symbolV20V13V22FAainfix <asize_fo_formulaV19asize_fo_formulaV8Aainfix <=c0asize_fo_formulaV8Laolifts_fo_termV12aExistsVaformula_semanticV8amodel_renameV11V13asemantic_substV12V13V25qaformula_semanticasubst_fo_formulaV8arcomposeV11asubst_id_symbolV12V13V25FIaformula_semanticV24amodel_renameV11V13asemantic_substV12V13V26qaformula_semanticasubst_fo_formulaV24arcomposeV11asubst_id_symbolV12V13V26FAainfix <asize_fo_formulaV24asize_fo_formulaV8Aainfix <=c0asize_fo_formulaV8Iaformula_semanticV23amodel_renameV11V13asemantic_substV12V13V27qaformula_semanticasubst_fo_formulaV23arcomposeV11asubst_id_symbolV12V13V27FAainfix <asize_fo_formulaV23asize_fo_formulaV8Aainfix <=c0asize_fo_formulaV8aAndVVaformula_semanticV8amodel_renameV11V13asemantic_substV12V13V30qaformula_semanticasubst_fo_formulaV8arcomposeV11asubst_id_symbolV12V13V30FIaformula_semanticV29amodel_renameV11V13asemantic_substV12V13V31qaformula_semanticasubst_fo_formulaV29arcomposeV11asubst_id_symbolV12V13V31FAainfix <asize_fo_formulaV29asize_fo_formulaV8Aainfix <=c0asize_fo_formulaV8Iaformula_semanticV28amodel_renameV11V13asemantic_substV12V13V32qaformula_semanticasubst_fo_formulaV28arcomposeV11asubst_id_symbolV12V13V32FAainfix <asize_fo_formulaV28asize_fo_formulaV8Aainfix <=c0asize_fo_formulaV8aOrVVaformula_semanticV8amodel_renameV11V13asemantic_substV12V13V34qaformula_semanticasubst_fo_formulaV8arcomposeV11asubst_id_symbolV12V13V34FAainfix =asubst_fo_formulaV8V14V12aNotasubst_fo_formulaV33V14V12Iaformula_semanticV33amodel_renameV11V13asemantic_substV12V13V35qaformula_semanticasubst_fo_formulaV33arcomposeV11asubst_id_symbolV12V13V35FAainfix <asize_fo_formulaV33asize_fo_formulaV8Aainfix <=c0asize_fo_formulaV8aNotVaformula_semanticV8amodel_renameV11V13asemantic_substV12V13V36qaformula_semanticasubst_fo_formulaV8arcomposeV11asubst_id_symbolV12V13V36FaFTrueaformula_semanticV8amodel_renameV11V13asemantic_substV12V13V37qaformula_semanticasubst_fo_formulaV8arcomposeV11asubst_id_symbolV12V13V37FaFFalseaformula_semanticV8amodel_renameV11V13asemantic_substV12V13V43qaformula_semanticasubst_fo_formulaV8arcomposeV11asubst_id_symbolV12V13V43FAaformula_semanticV41V13V44qaformula_semanticV8V42V45Aainfix @?aevalV10ainfix @!V11V38V47qaformula_semanticV41V13V44Aainfix @?aevalainterp_predV42V38V46qaformula_semanticV8V42V45Aainfix =V46V47Laterm_list_semanticV40V13V44Laterm_list_semanticV39V42V45Lasemantic_substV12V13V44FLamodel_renameV11V13Aainfix =V41aPAppaVar_symbolainfix @!V11V38V40Lasubst_fo_formulaV8V14V12Lasubst_fo_term_listV39V14V12aPAppaVar_symbolVVV8LarcomposeV11asubst_id_symbolLamk modelV9V10FLamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_subst_commutation"/>
- <transf
- name="split_goal_wp"
- proved="true"
- expanded="false">
- <goal
- name="WP_parameter formula_semantic_subst_commutation.1"
- locfile="../Firstorder_semantics.mlw"
- loclnum="199" loccnumb="12" loccnume="46"
- expl="1. variant decrease"
- sum="4906c5f1c11538ca243356fb70d70d21"
- proved="true"
- expanded="false"
- shape="variant decreaseCainfix <asize_fo_formulaV14asize_fo_formulaV7Aainfix <=c0asize_fo_formulaV7Laolifts_fo_termV11aForallVtaExistsVtaAndVVtaOrVVtaNotVtaFTruetaFFalsetaPAppaVar_symbolVVV7LarcomposeV10asubst_id_symbolLamk modelV8V9FLamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_subst_commutation"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.08"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_subst_commutation.2"
- locfile="../Firstorder_semantics.mlw"
- loclnum="199" loccnumb="12" loccnume="46"
- expl="2. assertion"
- sum="2b4b38c49b3f1c707b7c276f09ce9961"
- proved="true"
- expanded="false"
- shape="assertionCainfix =asubst_fo_formulaV7V13V11aForallasubst_fo_formulaV14V13V15Iaformula_semanticV14amodel_renameV10V12asemantic_substV15V12V16qaformula_semanticasubst_fo_formulaV14arcomposeV10asubst_id_symbolV15V12V16FLaolifts_fo_termV11aForallVtaExistsVtaAndVVtaOrVVtaNotVtaFTruetaFFalsetaPAppaVar_symbolVVV7LarcomposeV10asubst_id_symbolLamk modelV8V9FLamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_subst_commutation"/>
- <proof
- prover="5"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="1.33"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_subst_commutation.3"
- locfile="../Firstorder_semantics.mlw"
- loclnum="199" loccnumb="12" loccnume="46"
- expl="3. postcondition"
- sum="9c825ecbbb01700a04125978284ca8ac"
- proved="true"
- expanded="false"
- shape="postconditionCaformula_semanticV7amodel_renameV10V12asemantic_substV11V12V16qaformula_semanticasubst_fo_formulaV7arcomposeV10asubst_id_symbolV11V12V16FIainfix =asubst_fo_formulaV7V13V11aForallasubst_fo_formulaV14V13V15Iaformula_semanticV14amodel_renameV10V12asemantic_substV15V12V17qaformula_semanticasubst_fo_formulaV14arcomposeV10asubst_id_symbolV15V12V17FLaolifts_fo_termV11aForallVtaExistsVtaAndVVtaOrVVtaNotVtaFTruetaFFalsetaPAppaVar_symbolVVV7LarcomposeV10asubst_id_symbolLamk modelV8V9FLamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_subst_commutation"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.16"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_subst_commutation.4"
- locfile="../Firstorder_semantics.mlw"
- loclnum="199" loccnumb="12" loccnume="46"
- expl="4. variant decrease"
- sum="d508caef7e270c35085674ba4517286a"
- proved="true"
- expanded="false"
- shape="variant decreaseCtaForallVainfix <asize_fo_formulaV15asize_fo_formulaV7Aainfix <=c0asize_fo_formulaV7Laolifts_fo_termV11aExistsVtaAndVVtaOrVVtaNotVtaFTruetaFFalsetaPAppaVar_symbolVVV7LarcomposeV10asubst_id_symbolLamk modelV8V9FLamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_subst_commutation"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.09"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_subst_commutation.5"
- locfile="../Firstorder_semantics.mlw"
- loclnum="199" loccnumb="12" loccnume="46"
- expl="5. assertion"
- sum="0b2237b1ea4f8bbb9fb9f2080f84f144"
- proved="true"
- expanded="false"
- shape="assertionCtaForallVainfix =asubst_fo_formulaV7V13V11aExistsasubst_fo_formulaV15V13V16Iaformula_semanticV15amodel_renameV10V12asemantic_substV16V12V17qaformula_semanticasubst_fo_formulaV15arcomposeV10asubst_id_symbolV16V12V17FLaolifts_fo_termV11aExistsVtaAndVVtaOrVVtaNotVtaFTruetaFFalsetaPAppaVar_symbolVVV7LarcomposeV10asubst_id_symbolLamk modelV8V9FLamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_subst_commutation"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="true"
- archived="false">
- <result status="timeout" time="3.94"/>
- </proof>
- <proof
- prover="5"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="1.35"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_subst_commutation.6"
- locfile="../Firstorder_semantics.mlw"
- loclnum="199" loccnumb="12" loccnume="46"
- expl="6. postcondition"
- sum="c16bcf613aa1877109b0b7141b13a3fc"
- proved="true"
- expanded="false"
- shape="postconditionCtaForallVaformula_semanticV7amodel_renameV10V12asemantic_substV11V12V17qaformula_semanticasubst_fo_formulaV7arcomposeV10asubst_id_symbolV11V12V17FIainfix =asubst_fo_formulaV7V13V11aExistsasubst_fo_formulaV15V13V16Iaformula_semanticV15amodel_renameV10V12asemantic_substV16V12V18qaformula_semanticasubst_fo_formulaV15arcomposeV10asubst_id_symbolV16V12V18FLaolifts_fo_termV11aExistsVtaAndVVtaOrVVtaNotVtaFTruetaFFalsetaPAppaVar_symbolVVV7LarcomposeV10asubst_id_symbolLamk modelV8V9FLamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_subst_commutation"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.18"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_subst_commutation.7"
- locfile="../Firstorder_semantics.mlw"
- loclnum="199" loccnumb="12" loccnume="46"
- expl="7. variant decrease"
- sum="d6df0a85b6b66b7ce3de05b8a885ae81"
- proved="true"
- expanded="false"
- shape="variant decreaseCtaForallVtaExistsVainfix <asize_fo_formulaV16asize_fo_formulaV7Aainfix <=c0asize_fo_formulaV7aAndVVtaOrVVtaNotVtaFTruetaFFalsetaPAppaVar_symbolVVV7LarcomposeV10asubst_id_symbolLamk modelV8V9FLamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_subst_commutation"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.10"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_subst_commutation.8"
- locfile="../Firstorder_semantics.mlw"
- loclnum="199" loccnumb="12" loccnume="46"
- expl="8. variant decrease"
- sum="f4572260f930533a7e58a8991143cf4e"
- proved="true"
- expanded="false"
- shape="variant decreaseCtaForallVtaExistsVainfix <asize_fo_formulaV17asize_fo_formulaV7Aainfix <=c0asize_fo_formulaV7Iaformula_semanticV16amodel_renameV10V12asemantic_substV11V12V18qaformula_semanticasubst_fo_formulaV16arcomposeV10asubst_id_symbolV11V12V18FaAndVVtaOrVVtaNotVtaFTruetaFFalsetaPAppaVar_symbolVVV7LarcomposeV10asubst_id_symbolLamk modelV8V9FLamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_subst_commutation"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.10"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_subst_commutation.9"
- locfile="../Firstorder_semantics.mlw"
- loclnum="199" loccnumb="12" loccnume="46"
- expl="9. postcondition"
- sum="eb2379a8f6250bf50b3dc834c046b339"
- proved="true"
- expanded="false"
- shape="postconditionCtaForallVtaExistsVaformula_semanticV7amodel_renameV10V12asemantic_substV11V12V18qaformula_semanticasubst_fo_formulaV7arcomposeV10asubst_id_symbolV11V12V18FIaformula_semanticV17amodel_renameV10V12asemantic_substV11V12V19qaformula_semanticasubst_fo_formulaV17arcomposeV10asubst_id_symbolV11V12V19FIaformula_semanticV16amodel_renameV10V12asemantic_substV11V12V20qaformula_semanticasubst_fo_formulaV16arcomposeV10asubst_id_symbolV11V12V20FaAndVVtaOrVVtaNotVtaFTruetaFFalsetaPAppaVar_symbolVVV7LarcomposeV10asubst_id_symbolLamk modelV8V9FLamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_subst_commutation"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.19"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_subst_commutation.10"
- locfile="../Firstorder_semantics.mlw"
- loclnum="199" loccnumb="12" loccnume="46"
- expl="10. variant decrease"
- sum="99dba16a4a70e4158ab2409769e21868"
- proved="true"
- expanded="false"
- shape="variant decreaseCtaForallVtaExistsVtaAndVVainfix <asize_fo_formulaV18asize_fo_formulaV7Aainfix <=c0asize_fo_formulaV7aOrVVtaNotVtaFTruetaFFalsetaPAppaVar_symbolVVV7LarcomposeV10asubst_id_symbolLamk modelV8V9FLamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_subst_commutation"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.09"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_subst_commutation.11"
- locfile="../Firstorder_semantics.mlw"
- loclnum="199" loccnumb="12" loccnume="46"
- expl="11. variant decrease"
- sum="19d9858615af72d82619ea5a60dc9024"
- proved="true"
- expanded="false"
- shape="variant decreaseCtaForallVtaExistsVtaAndVVainfix <asize_fo_formulaV19asize_fo_formulaV7Aainfix <=c0asize_fo_formulaV7Iaformula_semanticV18amodel_renameV10V12asemantic_substV11V12V20qaformula_semanticasubst_fo_formulaV18arcomposeV10asubst_id_symbolV11V12V20FaOrVVtaNotVtaFTruetaFFalsetaPAppaVar_symbolVVV7LarcomposeV10asubst_id_symbolLamk modelV8V9FLamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_subst_commutation"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.10"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_subst_commutation.12"
- locfile="../Firstorder_semantics.mlw"
- loclnum="199" loccnumb="12" loccnume="46"
- expl="12. postcondition"
- sum="d65b02ca0bc1c27d398fe8a102e747ec"
- proved="true"
- expanded="false"
- shape="postconditionCtaForallVtaExistsVtaAndVVaformula_semanticV7amodel_renameV10V12asemantic_substV11V12V20qaformula_semanticasubst_fo_formulaV7arcomposeV10asubst_id_symbolV11V12V20FIaformula_semanticV19amodel_renameV10V12asemantic_substV11V12V21qaformula_semanticasubst_fo_formulaV19arcomposeV10asubst_id_symbolV11V12V21FIaformula_semanticV18amodel_renameV10V12asemantic_substV11V12V22qaformula_semanticasubst_fo_formulaV18arcomposeV10asubst_id_symbolV11V12V22FaOrVVtaNotVtaFTruetaFFalsetaPAppaVar_symbolVVV7LarcomposeV10asubst_id_symbolLamk modelV8V9FLamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_subst_commutation"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.18"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_subst_commutation.13"
- locfile="../Firstorder_semantics.mlw"
- loclnum="199" loccnumb="12" loccnume="46"
- expl="13. variant decrease"
- sum="d2dcaff56c0c2dd6debbabd9221505a1"
- proved="true"
- expanded="false"
- shape="variant decreaseCtaForallVtaExistsVtaAndVVtaOrVVainfix <asize_fo_formulaV20asize_fo_formulaV7Aainfix <=c0asize_fo_formulaV7aNotVtaFTruetaFFalsetaPAppaVar_symbolVVV7LarcomposeV10asubst_id_symbolLamk modelV8V9FLamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_subst_commutation"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.09"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_subst_commutation.14"
- locfile="../Firstorder_semantics.mlw"
- loclnum="199" loccnumb="12" loccnume="46"
- expl="14. assertion"
- sum="a39ef686eff70d1efe98c5ac30117296"
- proved="true"
- expanded="false"
- shape="assertionCtaForallVtaExistsVtaAndVVtaOrVVainfix =asubst_fo_formulaV7V13V11aNotasubst_fo_formulaV20V13V11Iaformula_semanticV20amodel_renameV10V12asemantic_substV11V12V21qaformula_semanticasubst_fo_formulaV20arcomposeV10asubst_id_symbolV11V12V21FaNotVtaFTruetaFFalsetaPAppaVar_symbolVVV7LarcomposeV10asubst_id_symbolLamk modelV8V9FLamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_subst_commutation"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="true"
- archived="false">
- <result status="timeout" time="4.66"/>
- </proof>
- <proof
- prover="5"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="1.30"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_subst_commutation.15"
- locfile="../Firstorder_semantics.mlw"
- loclnum="199" loccnumb="12" loccnume="46"
- expl="15. postcondition"
- sum="7fc27984954e80a729d3cf95debfa451"
- proved="true"
- expanded="false"
- shape="postconditionCtaForallVtaExistsVtaAndVVtaOrVVaformula_semanticV7amodel_renameV10V12asemantic_substV11V12V21qaformula_semanticasubst_fo_formulaV7arcomposeV10asubst_id_symbolV11V12V21FIainfix =asubst_fo_formulaV7V13V11aNotasubst_fo_formulaV20V13V11Iaformula_semanticV20amodel_renameV10V12asemantic_substV11V12V22qaformula_semanticasubst_fo_formulaV20arcomposeV10asubst_id_symbolV11V12V22FaNotVtaFTruetaFFalsetaPAppaVar_symbolVVV7LarcomposeV10asubst_id_symbolLamk modelV8V9FLamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_subst_commutation"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.10"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_subst_commutation.16"
- locfile="../Firstorder_semantics.mlw"
- loclnum="199" loccnumb="12" loccnume="46"
- expl="16. postcondition"
- sum="1eaee6c1e7ec1e1189dab4e4318b202c"
- proved="true"
- expanded="false"
- shape="postconditionCtaForallVtaExistsVtaAndVVtaOrVVtaNotVaformula_semanticV7amodel_renameV10V12asemantic_substV11V12V21qaformula_semanticasubst_fo_formulaV7arcomposeV10asubst_id_symbolV11V12V21FaFTruetaFFalsetaPAppaVar_symbolVVV7LarcomposeV10asubst_id_symbolLamk modelV8V9FLamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_subst_commutation"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.10"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_subst_commutation.17"
- locfile="../Firstorder_semantics.mlw"
- loclnum="199" loccnumb="12" loccnume="46"
- expl="17. postcondition"
- sum="c5ef2d1ab8836f39c4624f6d1b411f43"
- proved="true"
- expanded="false"
- shape="postconditionCtaForallVtaExistsVtaAndVVtaOrVVtaNotVtaFTrueaformula_semanticV7amodel_renameV10V12asemantic_substV11V12V21qaformula_semanticasubst_fo_formulaV7arcomposeV10asubst_id_symbolV11V12V21FaFFalsetaPAppaVar_symbolVVV7LarcomposeV10asubst_id_symbolLamk modelV8V9FLamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_subst_commutation"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.10"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_subst_commutation.18"
- locfile="../Firstorder_semantics.mlw"
- loclnum="199" loccnumb="12" loccnume="46"
- expl="18. assertion"
- sum="f19374f2def11a937ea318359638a69e"
- proved="true"
- expanded="false"
- shape="assertionCtaForallVtaExistsVtaAndVVtaOrVVtaNotVtaFTruetaFFalseainfix =V24aPAppaVar_symbolainfix @!V10V21V23Lasubst_fo_formulaV7V13V11Lasubst_fo_term_listV22V13V11aPAppaVar_symbolVVV7LarcomposeV10asubst_id_symbolLamk modelV8V9FLamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_subst_commutation"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.12"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_subst_commutation.19"
- locfile="../Firstorder_semantics.mlw"
- loclnum="199" loccnumb="12" loccnume="46"
- expl="19. assertion"
- sum="7881f4ecd8d05bf455e5f8b6b5496f1e"
- proved="true"
- expanded="false"
- shape="assertionCtaForallVtaExistsVtaAndVVtaOrVVtaNotVtaFTruetaFFalseaformula_semanticV24V12V26qaformula_semanticV7V25V27Aainfix @?aevalV9ainfix @!V10V21V29qaformula_semanticV24V12V26Aainfix @?aevalainterp_predV25V21V28qaformula_semanticV7V25V27Aainfix =V28V29Laterm_list_semanticV23V12V26Laterm_list_semanticV22V25V27Lasemantic_substV11V12V26FLamodel_renameV10V12Iainfix =V24aPAppaVar_symbolainfix @!V10V21V23Lasubst_fo_formulaV7V13V11Lasubst_fo_term_listV22V13V11aPAppaVar_symbolVVV7LarcomposeV10asubst_id_symbolLamk modelV8V9FLamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_subst_commutation"/>
- <transf
- name="split_goal_wp"
- proved="true"
- expanded="false">
- <goal
- name="WP_parameter formula_semantic_subst_commutation.19.1"
- locfile="../Firstorder_semantics.mlw"
- loclnum="199" loccnumb="12" loccnume="46"
- expl="1. assertion"
- sum="941d2b737ccbc49d07ccb80ecd3aebd9"
- proved="true"
- expanded="false"
- shape="assertionCtaForallVtaExistsVtaAndVVtaOrVVtaNotVtaFTruetaFFalseainfix =V28V29Laterm_list_semanticV23V12V26Laterm_list_semanticV22V25V27Lasemantic_substV11V12V26FLamodel_renameV10V12Iainfix =V24aPAppaVar_symbolainfix @!V10V21V23Lasubst_fo_formulaV7V13V11Lasubst_fo_term_listV22V13V11aPAppaVar_symbolVVV7LarcomposeV10asubst_id_symbolLamk modelV8V9FLamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_subst_commutation"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.08"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_subst_commutation.19.2"
- locfile="../Firstorder_semantics.mlw"
- loclnum="199" loccnumb="12" loccnume="46"
- expl="2. assertion"
- sum="abd9b74adf93ebea496ef6ccd858feef"
- proved="true"
- expanded="false"
- shape="assertionCtaForallVtaExistsVtaAndVVtaOrVVtaNotVtaFTruetaFFalseainfix @?aevalainterp_predV25V21V28Iaformula_semanticV7V25V27Laterm_list_semanticV23V12V26Laterm_list_semanticV22V25V27Lasemantic_substV11V12V26FLamodel_renameV10V12Iainfix =V24aPAppaVar_symbolainfix @!V10V21V23Lasubst_fo_formulaV7V13V11Lasubst_fo_term_listV22V13V11aPAppaVar_symbolVVV7LarcomposeV10asubst_id_symbolLamk modelV8V9FLamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_subst_commutation"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.10"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_subst_commutation.19.3"
- locfile="../Firstorder_semantics.mlw"
- loclnum="199" loccnumb="12" loccnume="46"
- expl="3. assertion"
- sum="13c50f00f6ef5bd521b9b565cf788919"
- proved="true"
- expanded="false"
- shape="assertionCtaForallVtaExistsVtaAndVVtaOrVVtaNotVtaFTruetaFFalseaformula_semanticV7V25V27Iainfix @?aevalainterp_predV25V21V28Laterm_list_semanticV23V12V26Laterm_list_semanticV22V25V27Lasemantic_substV11V12V26FLamodel_renameV10V12Iainfix =V24aPAppaVar_symbolainfix @!V10V21V23Lasubst_fo_formulaV7V13V11Lasubst_fo_term_listV22V13V11aPAppaVar_symbolVVV7LarcomposeV10asubst_id_symbolLamk modelV8V9FLamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_subst_commutation"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.10"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_subst_commutation.19.4"
- locfile="../Firstorder_semantics.mlw"
- loclnum="199" loccnumb="12" loccnume="46"
- expl="4. assertion"
- sum="684011bd7d50bb2a371dce730eb6167e"
- proved="true"
- expanded="false"
- shape="assertionCtaForallVtaExistsVtaAndVVtaOrVVtaNotVtaFTruetaFFalseainfix @?aevalV9ainfix @!V10V21V29Iaformula_semanticV24V12V26Laterm_list_semanticV23V12V26Laterm_list_semanticV22V25V27Lasemantic_substV11V12V26FLamodel_renameV10V12Iainfix =V24aPAppaVar_symbolainfix @!V10V21V23Lasubst_fo_formulaV7V13V11Lasubst_fo_term_listV22V13V11aPAppaVar_symbolVVV7LarcomposeV10asubst_id_symbolLamk modelV8V9FLamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_subst_commutation"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.12"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_subst_commutation.19.5"
- locfile="../Firstorder_semantics.mlw"
- loclnum="199" loccnumb="12" loccnume="46"
- expl="5. assertion"
- sum="7195f68156b9436bc818ba57d0e77eb5"
- proved="true"
- expanded="false"
- shape="assertionCtaForallVtaExistsVtaAndVVtaOrVVtaNotVtaFTruetaFFalseaformula_semanticV24V12V26Iainfix @?aevalV9ainfix @!V10V21V29Laterm_list_semanticV23V12V26Laterm_list_semanticV22V25V27Lasemantic_substV11V12V26FLamodel_renameV10V12Iainfix =V24aPAppaVar_symbolainfix @!V10V21V23Lasubst_fo_formulaV7V13V11Lasubst_fo_term_listV22V13V11aPAppaVar_symbolVVV7LarcomposeV10asubst_id_symbolLamk modelV8V9FLamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_subst_commutation"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.30"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_subst_commutation.19.6"
- locfile="../Firstorder_semantics.mlw"
- loclnum="199" loccnumb="12" loccnume="46"
- expl="6. assertion"
- sum="4072b50636b4e68c2d46a755b82759c4"
- proved="true"
- expanded="false"
- shape="assertionCtaForallVtaExistsVtaAndVVtaOrVVtaNotVtaFTruetaFFalseaformula_semanticV24V12V26Iaformula_semanticV7V25V27Iainfix @?aevalV9ainfix @!V10V21V29qaformula_semanticV24V12V26Aainfix @?aevalainterp_predV25V21V28qaformula_semanticV7V25V27Aainfix =V28V29Laterm_list_semanticV23V12V26Laterm_list_semanticV22V25V27Lasemantic_substV11V12V26FLamodel_renameV10V12Iainfix =V24aPAppaVar_symbolainfix @!V10V21V23Lasubst_fo_formulaV7V13V11Lasubst_fo_term_listV22V13V11aPAppaVar_symbolVVV7LarcomposeV10asubst_id_symbolLamk modelV8V9FLamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_subst_commutation"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.10"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_subst_commutation.19.7"
- locfile="../Firstorder_semantics.mlw"
- loclnum="199" loccnumb="12" loccnume="46"
- expl="7. assertion"
- sum="4063c3ff28b477a6feb41095dcbb335f"
- proved="true"
- expanded="false"
- shape="assertionCtaForallVtaExistsVtaAndVVtaOrVVtaNotVtaFTruetaFFalseaformula_semanticV7V25V27Iaformula_semanticV24V12V26Iainfix @?aevalV9ainfix @!V10V21V29qaformula_semanticV24V12V26Aainfix @?aevalainterp_predV25V21V28qaformula_semanticV7V25V27Aainfix =V28V29Laterm_list_semanticV23V12V26Laterm_list_semanticV22V25V27Lasemantic_substV11V12V26FLamodel_renameV10V12Iainfix =V24aPAppaVar_symbolainfix @!V10V21V23Lasubst_fo_formulaV7V13V11Lasubst_fo_term_listV22V13V11aPAppaVar_symbolVVV7LarcomposeV10asubst_id_symbolLamk modelV8V9FLamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_subst_commutation"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.10"/>
- </proof>
- </goal>
- </transf>
- </goal>
- <goal
- name="WP_parameter formula_semantic_subst_commutation.20"
- locfile="../Firstorder_semantics.mlw"
- loclnum="199" loccnumb="12" loccnume="46"
- expl="20. postcondition"
- sum="9533804153d68f89a5fff9593c41bbbe"
- proved="true"
- expanded="false"
- shape="postconditionCtaForallVtaExistsVtaAndVVtaOrVVtaNotVtaFTruetaFFalseaformula_semanticV7amodel_renameV10V12asemantic_substV11V12V26qaformula_semanticasubst_fo_formulaV7arcomposeV10asubst_id_symbolV11V12V26FIaformula_semanticV24V12V27qaformula_semanticV7V25V28Aainfix @?aevalV9ainfix @!V10V21V30qaformula_semanticV24V12V27Aainfix @?aevalainterp_predV25V21V29qaformula_semanticV7V25V28Aainfix =V29V30Laterm_list_semanticV23V12V27Laterm_list_semanticV22V25V28Lasemantic_substV11V12V27FLamodel_renameV10V12Iainfix =V24aPAppaVar_symbolainfix @!V10V21V23Lasubst_fo_formulaV7V13V11Lasubst_fo_term_listV22V13V11aPAppaVar_symbolVVV7LarcomposeV10asubst_id_symbolLamk modelV8V9FLamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_subst_commutation"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="true"
- archived="false">
- <result status="timeout" time="4.70"/>
- </proof>
- <proof
- prover="3"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.97"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_subst_commutation.21"
- locfile="../Firstorder_semantics.mlw"
- loclnum="199" loccnumb="12" loccnume="46"
- expl="21. postcondition"
- sum="254261a22292dd10f3684da1a76b191e"
- proved="true"
- expanded="false"
- shape="postconditionaformula_semanticV0amodel_renameV3V6asemantic_substV4V6V5qaformula_semanticasubst_fo_formulaV0arcomposeV3asubst_id_symbolV4V6V5Iaformula_semanticV0amodel_renameV3V6asemantic_substV4V6V7qaformula_semanticasubst_fo_formulaV0arcomposeV3asubst_id_symbolV4V6V7FLamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_subst_commutation"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.10"/>
- </proof>
- </goal>
- </transf>
+ <goal name="WP_parameter formula_semantic_subst_commutation.19.4" expl="4. assertion">
+ <proof prover="9"><result status="valid" time="0.12" steps="10"/></proof>
</goal>
- <goal
- name="WP_parameter formula_semantic_rename_commutation"
- locfile="../Firstorder_semantics.mlw"
- loclnum="261" loccnumb="12" loccnume="47"
- expl="VC for formula_semantic_rename_commutation"
- sum="115cd3ba97e99a98d90c670a8d17308d"
- proved="true"
- expanded="false"
- shape="aformula_semanticV0amodel_renameV3V6arcomposeV4V5qaformula_semanticarename_fo_formulaV0V3V4V6V5Aainfix =V8V9AaextensionalEqualV8V9Lasemantic_substV7V6V5LarcomposeV4V5Aainfix =arename_fo_formulaV0V3V4asubst_fo_formulaV0arcomposeV3asubst_id_symbolV7LarcomposeV4asubst_id_fo_termLamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_rename_commutation"/>
- <transf
- name="split_goal_wp"
- proved="true"
- expanded="false">
- <goal
- name="WP_parameter formula_semantic_rename_commutation.1"
- locfile="../Firstorder_semantics.mlw"
- loclnum="261" loccnumb="12" loccnume="47"
- expl="1. assertion"
- sum="8953eb690aee469b673e49e981dbac25"
- proved="true"
- expanded="false"
- shape="assertionainfix =arename_fo_formulaV0V3V4asubst_fo_formulaV0arcomposeV3asubst_id_symbolV7LarcomposeV4asubst_id_fo_termLamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_rename_commutation"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.08"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_rename_commutation.2"
- locfile="../Firstorder_semantics.mlw"
- loclnum="261" loccnumb="12" loccnume="47"
- expl="2. assertion"
- sum="ccefceafdbbddcdbba6a29ff5eca7a4e"
- proved="true"
- expanded="false"
- shape="assertionainfix =V8V9AaextensionalEqualV8V9Lasemantic_substV7V6V5LarcomposeV4V5Iainfix =arename_fo_formulaV0V3V4asubst_fo_formulaV0arcomposeV3asubst_id_symbolV7LarcomposeV4asubst_id_fo_termLamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_rename_commutation"/>
- <transf
- name="split_goal_wp"
- proved="true"
- expanded="false">
- <goal
- name="WP_parameter formula_semantic_rename_commutation.2.1"
- locfile="../Firstorder_semantics.mlw"
- loclnum="261" loccnumb="12" loccnume="47"
- expl="1."
- sum="91d5c9cac8c3aa9149fb33bab5d4a3d7"
- proved="true"
- expanded="false"
- shape="aextensionalEqualV8V9Lasemantic_substV7V6V5LarcomposeV4V5Iainfix =arename_fo_formulaV0V3V4asubst_fo_formulaV0arcomposeV3asubst_id_symbolV7LarcomposeV4asubst_id_fo_termLamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_rename_commutation"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.12"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_rename_commutation.2.2"
- locfile="../Firstorder_semantics.mlw"
- loclnum="261" loccnumb="12" loccnume="47"
- expl="2."
- sum="33412e4b32c989c544661b19dc7865fe"
- proved="true"
- expanded="false"
- shape="ainfix =V8V9IaextensionalEqualV8V9Lasemantic_substV7V6V5LarcomposeV4V5Iainfix =arename_fo_formulaV0V3V4asubst_fo_formulaV0arcomposeV3asubst_id_symbolV7LarcomposeV4asubst_id_fo_termLamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_rename_commutation"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.10"/>
- </proof>
- </goal>
- </transf>
- </goal>
- <goal
- name="WP_parameter formula_semantic_rename_commutation.3"
- locfile="../Firstorder_semantics.mlw"
- loclnum="261" loccnumb="12" loccnume="47"
- expl="3. postcondition"
- sum="644c9d5a4ed7fe9eb599378a02e15d6c"
- proved="true"
- expanded="false"
- shape="postconditionaformula_semanticV0amodel_renameV3V6arcomposeV4V5qaformula_semanticarename_fo_formulaV0V3V4V6V5Iainfix =V8V9AaextensionalEqualV8V9Lasemantic_substV7V6V5LarcomposeV4V5Iainfix =arename_fo_formulaV0V3V4asubst_fo_formulaV0arcomposeV3asubst_id_symbolV7LarcomposeV4asubst_id_fo_termLamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_rename_commutation"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.10"/>
- </proof>
- </goal>
- </transf>
+ <goal name="WP_parameter formula_semantic_subst_commutation.19.5" expl="5. assertion">
+ <proof prover="9"><result status="valid" time="0.13" steps="8"/></proof>
</goal>
- <goal
- name="WP_parameter formula_semantic_term_subst_commutation"
- locfile="../Firstorder_semantics.mlw"
- loclnum="274" loccnumb="12" loccnume="51"
- expl="VC for formula_semantic_term_subst_commutation"
- sum="90a024430d7dc1588e59e8112cead4c7"
- proved="true"
- expanded="false"
- shape="aformula_semanticV0V5asemantic_substV3V5V4qaformula_semanticasubst_fo_formulaV0asubst_id_symbolV3V5V4Aaformula_semanticV0amodel_renameaidentityV5asemantic_substV3V5V4qaformula_semanticasubst_fo_formulaV0arcomposeaidentityasubst_id_symbolV3V5V4Lamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_term_subst_commutation"/>
- <transf
- name="split_goal_wp"
- proved="true"
- expanded="false">
- <goal
- name="WP_parameter formula_semantic_term_subst_commutation.1"
- locfile="../Firstorder_semantics.mlw"
- loclnum="274" loccnumb="12" loccnume="51"
- expl="1. assertion"
- sum="70cb77d6bee7b4b4f4b16cab73e9f7c2"
- proved="true"
- expanded="false"
- shape="assertionaformula_semanticV0amodel_renameaidentityV5asemantic_substV3V5V4qaformula_semanticasubst_fo_formulaV0arcomposeaidentityasubst_id_symbolV3V5V4Lamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_term_subst_commutation"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.09"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_term_subst_commutation.2"
- locfile="../Firstorder_semantics.mlw"
- loclnum="274" loccnumb="12" loccnume="51"
- expl="2. postcondition"
- sum="d476a893f92592f725835a87427f1f6a"
- proved="true"
- expanded="false"
- shape="postconditionaformula_semanticV0V5asemantic_substV3V5V4qaformula_semanticasubst_fo_formulaV0asubst_id_symbolV3V5V4Iaformula_semanticV0amodel_renameaidentityV5asemantic_substV3V5V4qaformula_semanticasubst_fo_formulaV0arcomposeaidentityasubst_id_symbolV3V5V4Lamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_term_subst_commutation"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.15"/>
- </proof>
- </goal>
- </transf>
+ <goal name="WP_parameter formula_semantic_subst_commutation.19.6" expl="6. assertion">
+ <proof prover="9"><result status="valid" time="0.10" steps="39"/></proof>
</goal>
- <goal
- name="WP_parameter formula_semantic_term_rename_commutation"
- locfile="../Firstorder_semantics.mlw"
- loclnum="286" loccnumb="12" loccnume="52"
- expl="VC for formula_semantic_term_rename_commutation"
- sum="17d7ecbb1daef4a9737b1e00a158516d"
- proved="true"
- expanded="false"
- shape="aformula_semanticV0V5arcomposeV3V4qaformula_semanticarename_fo_formulaV0aidentityV3V5V4Lamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_term_rename_commutation"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.12"/>
- </proof>
+ <goal name="WP_parameter formula_semantic_subst_commutation.19.7" expl="7. assertion">
+ <proof prover="9"><result status="valid" time="0.10" steps="39"/></proof>
</goal>
- <goal
- name="WP_parameter formula_list_conj_semantic_subst_commutation"
- locfile="../Firstorder_semantics.mlw"
- loclnum="294" loccnumb="16" loccnume="60"
- expl="VC for formula_list_conj_semantic_subst_commutation"
- sum="9a995965a0cc54220072cddaf38a65d1"
- proved="true"
- expanded="false"
- shape="Caformula_list_conj_semanticV0amodel_renameV3V6asemantic_substV4V6V5qaformula_list_conj_semanticasubst_fo_formula_listV0arcomposeV3asubst_id_symbolV4V6V5aFOFNilaformula_list_conj_semanticV0amodel_renameV3V6asemantic_substV4V6V5qaformula_list_conj_semanticasubst_fo_formula_listV0arcomposeV3asubst_id_symbolV4V6V5Iaformula_list_conj_semanticV7amodel_renameV3V6asemantic_substV4V6V5qaformula_list_conj_semanticasubst_fo_formula_listV7arcomposeV3asubst_id_symbolV4V6V5Aainfix <asize_fo_formula_listV7asize_fo_formula_listV0Aainfix <=c0asize_fo_formula_listV0aFOFConswVV0Lamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_list_conj_semantic_subst_commutation"/>
- <transf
- name="split_goal_wp"
- proved="true"
- expanded="false">
- <goal
- name="WP_parameter formula_list_conj_semantic_subst_commutation.1"
- locfile="../Firstorder_semantics.mlw"
- loclnum="294" loccnumb="16" loccnume="60"
- expl="1. postcondition"
- sum="14213aaf2b5ca2be77d449a6f9b203d7"
- proved="true"
- expanded="false"
- shape="postconditionCaformula_list_conj_semanticV0amodel_renameV3V6asemantic_substV4V6V5qaformula_list_conj_semanticasubst_fo_formula_listV0arcomposeV3asubst_id_symbolV4V6V5aFOFNiltaFOFConswVV0Lamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_list_conj_semantic_subst_commutation"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.09"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_list_conj_semantic_subst_commutation.2"
- locfile="../Firstorder_semantics.mlw"
- loclnum="294" loccnumb="16" loccnume="60"
- expl="2. variant decrease"
- sum="0232360a36851034929ba598db281e92"
- proved="true"
- expanded="false"
- shape="variant decreaseCtaFOFNilainfix <asize_fo_formula_listV7asize_fo_formula_listV0Aainfix <=c0asize_fo_formula_listV0aFOFConswVV0Lamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_list_conj_semantic_subst_commutation"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.09"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_list_conj_semantic_subst_commutation.3"
- locfile="../Firstorder_semantics.mlw"
- loclnum="294" loccnumb="16" loccnume="60"
- expl="3. postcondition"
- sum="0697e54810e458c87ece2bf043842308"
- proved="true"
- expanded="false"
- shape="postconditionCtaFOFNilaformula_list_conj_semanticV0amodel_renameV3V6asemantic_substV4V6V5qaformula_list_conj_semanticasubst_fo_formula_listV0arcomposeV3asubst_id_symbolV4V6V5Iaformula_list_conj_semanticV7amodel_renameV3V6asemantic_substV4V6V5qaformula_list_conj_semanticasubst_fo_formula_listV7arcomposeV3asubst_id_symbolV4V6V5aFOFConswVV0Lamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_list_conj_semantic_subst_commutation"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.12"/>
- </proof>
- </goal>
- </transf>
+ </transf>
+ </goal>
+ <goal name="WP_parameter formula_semantic_subst_commutation.20" expl="20. postcondition">
+ <proof prover="10"><result status="valid" time="4.03"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_semantic_subst_commutation.21" expl="21. postcondition">
+ <proof prover="9"><result status="valid" time="0.10" steps="12"/></proof>
+ </goal>
+ </transf>
+ </goal>
+ <goal name="WP_parameter formula_semantic_rename_commutation" expl="VC for formula_semantic_rename_commutation">
+ <transf name="split_goal_wp">
+ <goal name="WP_parameter formula_semantic_rename_commutation.1" expl="1. assertion">
+ <proof prover="9"><result status="valid" time="0.08" steps="10"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_semantic_rename_commutation.2" expl="2. assertion">
+ <transf name="split_goal_wp">
+ <goal name="WP_parameter formula_semantic_rename_commutation.2.1" expl="1. VC for formula_semantic_rename_commutation">
+ <proof prover="9"><result status="valid" time="0.12" steps="39"/></proof>
</goal>
- <goal
- name="WP_parameter formula_list_disj_semantic_subst_commutation"
- locfile="../Firstorder_semantics.mlw"
- loclnum="307" loccnumb="16" loccnume="60"
- expl="VC for formula_list_disj_semantic_subst_commutation"
- sum="d7d70bcaa2af019a4b9ec2d1fb009a30"
- proved="true"
- expanded="false"
- shape="Caformula_list_disj_semanticV0amodel_renameV3V6asemantic_substV4V6V5qaformula_list_disj_semanticasubst_fo_formula_listV0arcomposeV3asubst_id_symbolV4V6V5aFOFNilaformula_list_disj_semanticV0amodel_renameV3V6asemantic_substV4V6V5qaformula_list_disj_semanticasubst_fo_formula_listV0arcomposeV3asubst_id_symbolV4V6V5Iaformula_list_disj_semanticV7amodel_renameV3V6asemantic_substV4V6V5qaformula_list_disj_semanticasubst_fo_formula_listV7arcomposeV3asubst_id_symbolV4V6V5Aainfix <asize_fo_formula_listV7asize_fo_formula_listV0Aainfix <=c0asize_fo_formula_listV0aFOFConswVV0Lamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_list_disj_semantic_subst_commutation"/>
- <transf
- name="split_goal_wp"
- proved="true"
- expanded="false">
- <goal
- name="WP_parameter formula_list_disj_semantic_subst_commutation.1"
- locfile="../Firstorder_semantics.mlw"
- loclnum="307" loccnumb="16" loccnume="60"
- expl="1. postcondition"
- sum="f5576b86f8b86734e8c9500bf69d30f9"
- proved="true"
- expanded="false"
- shape="postconditionCaformula_list_disj_semanticV0amodel_renameV3V6asemantic_substV4V6V5qaformula_list_disj_semanticasubst_fo_formula_listV0arcomposeV3asubst_id_symbolV4V6V5aFOFNiltaFOFConswVV0Lamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_list_disj_semantic_subst_commutation"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.11"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_list_disj_semantic_subst_commutation.2"
- locfile="../Firstorder_semantics.mlw"
- loclnum="307" loccnumb="16" loccnume="60"
- expl="2. variant decrease"
- sum="8d85904a09e1d00942d2f74933f37e5a"
- proved="true"
- expanded="false"
- shape="variant decreaseCtaFOFNilainfix <asize_fo_formula_listV7asize_fo_formula_listV0Aainfix <=c0asize_fo_formula_listV0aFOFConswVV0Lamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_list_disj_semantic_subst_commutation"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.11"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_list_disj_semantic_subst_commutation.3"
- locfile="../Firstorder_semantics.mlw"
- loclnum="307" loccnumb="16" loccnume="60"
- expl="3. postcondition"
- sum="385b07d3db600bf8bd4c04cf4152a0e1"
- proved="true"
- expanded="false"
- shape="postconditionCtaFOFNilaformula_list_disj_semanticV0amodel_renameV3V6asemantic_substV4V6V5qaformula_list_disj_semanticasubst_fo_formula_listV0arcomposeV3asubst_id_symbolV4V6V5Iaformula_list_disj_semanticV7amodel_renameV3V6asemantic_substV4V6V5qaformula_list_disj_semanticasubst_fo_formula_listV7arcomposeV3asubst_id_symbolV4V6V5aFOFConswVV0Lamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_list_disj_semantic_subst_commutation"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.16"/>
- </proof>
- </goal>
- </transf>
+ <goal name="WP_parameter formula_semantic_rename_commutation.2.2" expl="2. VC for formula_semantic_rename_commutation">
+ <proof prover="9"><result status="valid" time="0.10" steps="18"/></proof>
</goal>
- <goal
- name="WP_parameter formula_list_conj_semantic_term_subst_commutation"
- locfile="../Firstorder_semantics.mlw"
- loclnum="321" loccnumb="12" loccnume="61"
- expl="VC for formula_list_conj_semantic_term_subst_commutation"
- sum="171a7f3492c88670f9dd6446aaa5d8b9"
- proved="true"
- expanded="false"
- shape="aformula_list_conj_semanticV0V5asemantic_substV3V5V4qaformula_list_conj_semanticasubst_fo_formula_listV0asubst_id_symbolV3V5V4Iaformula_list_conj_semanticV0amodel_renameV6V5asemantic_substV3V5V4qaformula_list_conj_semanticasubst_fo_formula_listV0arcomposeV6asubst_id_symbolV3V5V4LaidentityLamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_list_conj_semantic_term_subst_commutation"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.12"/>
- </proof>
+ </transf>
+ </goal>
+ <goal name="WP_parameter formula_semantic_rename_commutation.3" expl="3. postcondition">
+ <proof prover="9"><result status="valid" time="0.10" steps="12"/></proof>
+ </goal>
+ </transf>
+ </goal>
+ <goal name="WP_parameter formula_semantic_term_subst_commutation" expl="VC for formula_semantic_term_subst_commutation">
+ <transf name="split_goal_wp">
+ <goal name="WP_parameter formula_semantic_term_subst_commutation.1" expl="1. assertion">
+ <proof prover="9"><result status="valid" time="0.09" steps="16"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_semantic_term_subst_commutation.2" expl="2. postcondition">
+ <proof prover="9"><result status="valid" time="0.15" steps="37"/></proof>
+ </goal>
+ </transf>
+ </goal>
+ <goal name="WP_parameter formula_semantic_term_rename_commutation" expl="VC for formula_semantic_term_rename_commutation">
+ <proof prover="9"><result status="valid" time="0.12" steps="16"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_list_conj_semantic_subst_commutation" expl="VC for formula_list_conj_semantic_subst_commutation">
+ <transf name="split_goal_wp">
+ <goal name="WP_parameter formula_list_conj_semantic_subst_commutation.1" expl="1. postcondition">
+ <proof prover="9"><result status="valid" time="0.09" steps="11"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_list_conj_semantic_subst_commutation.2" expl="2. variant decrease">
+ <proof prover="9"><result status="valid" time="0.09" steps="9"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_list_conj_semantic_subst_commutation.3" expl="3. postcondition">
+ <proof prover="9"><result status="valid" time="0.12" steps="102"/></proof>
+ </goal>
+ </transf>
+ </goal>
+ <goal name="WP_parameter formula_list_disj_semantic_subst_commutation" expl="VC for formula_list_disj_semantic_subst_commutation">
+ <transf name="split_goal_wp">
+ <goal name="WP_parameter formula_list_disj_semantic_subst_commutation.1" expl="1. postcondition">
+ <proof prover="9"><result status="valid" time="0.11" steps="11"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_list_disj_semantic_subst_commutation.2" expl="2. variant decrease">
+ <proof prover="9"><result status="valid" time="0.11" steps="9"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_list_disj_semantic_subst_commutation.3" expl="3. postcondition">
+ <proof prover="9"><result status="valid" time="0.16" steps="104"/></proof>
+ </goal>
+ </transf>
+ </goal>
+ <goal name="WP_parameter formula_list_conj_semantic_term_subst_commutation" expl="VC for formula_list_conj_semantic_term_subst_commutation">
+ <proof prover="9"><result status="valid" time="0.12" steps="25"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_list_disj_semantic_term_subst_commutation" expl="VC for formula_list_disj_semantic_term_subst_commutation">
+ <transf name="split_goal_wp">
+ <goal name="WP_parameter formula_list_disj_semantic_term_subst_commutation.1" expl="1. postcondition">
+ <proof prover="9"><result status="valid" time="0.12" steps="25"/></proof>
+ </goal>
+ </transf>
+ </goal>
+ <goal name="WP_parameter tableau_semantic_subst_commutation" expl="VC for tableau_semantic_subst_commutation">
+ <transf name="split_goal_wp">
+ <goal name="WP_parameter tableau_semantic_subst_commutation.1" expl="1. postcondition">
+ <proof prover="9"><result status="valid" time="0.13" steps="45"/></proof>
+ </goal>
+ <goal name="WP_parameter tableau_semantic_subst_commutation.2" expl="2. variant decrease">
+ <proof prover="9"><result status="valid" time="0.12" steps="10"/></proof>
+ </goal>
+ <goal name="WP_parameter tableau_semantic_subst_commutation.3" expl="3. postcondition">
+ <proof prover="9"><result status="valid" time="0.46" steps="719"/></proof>
+ </goal>
+ </transf>
+ </goal>
+ <goal name="WP_parameter tableau_semantic_term_subst_commutation" expl="VC for tableau_semantic_term_subst_commutation">
+ <transf name="split_goal_wp">
+ <goal name="WP_parameter tableau_semantic_term_subst_commutation.1" expl="1. postcondition">
+ <proof prover="9"><result status="valid" time="0.16" steps="25"/></proof>
+ </goal>
+ </transf>
+ </goal>
+ <goal name="WP_parameter term_semantic_depend_only_free_var" expl="VC for term_semantic_depend_only_free_var">
+ <transf name="split_goal_wp">
+ <goal name="WP_parameter term_semantic_depend_only_free_var.1" expl="1. postcondition">
+ <proof prover="9"><result status="valid" time="0.10" steps="19"/></proof>
+ </goal>
+ <goal name="WP_parameter term_semantic_depend_only_free_var.2" expl="2. variant decrease">
+ <proof prover="9"><result status="valid" time="0.09" steps="10"/></proof>
+ </goal>
+ <goal name="WP_parameter term_semantic_depend_only_free_var.3" expl="3. precondition">
+ <proof prover="9"><result status="valid" time="0.09" steps="21"/></proof>
+ </goal>
+ <goal name="WP_parameter term_semantic_depend_only_free_var.4" expl="4. precondition">
+ <proof prover="9"><result status="valid" time="0.11" steps="21"/></proof>
+ </goal>
+ <goal name="WP_parameter term_semantic_depend_only_free_var.5" expl="5. assertion">
+ <proof prover="9"><result status="valid" time="0.09" steps="10"/></proof>
+ </goal>
+ <goal name="WP_parameter term_semantic_depend_only_free_var.6" expl="6. postcondition">
+ <proof prover="2"><result status="valid" time="0.84"/></proof>
+ </goal>
+ </transf>
+ </goal>
+ <goal name="WP_parameter term_list_semantic_depend_only_free_var" expl="VC for term_list_semantic_depend_only_free_var">
+ <transf name="split_goal_wp">
+ <goal name="WP_parameter term_list_semantic_depend_only_free_var.1" expl="1. postcondition">
+ <proof prover="9"><result status="valid" time="0.09" steps="6"/></proof>
+ </goal>
+ <goal name="WP_parameter term_list_semantic_depend_only_free_var.2" expl="2. variant decrease">
+ <proof prover="9"><result status="valid" time="0.10" steps="8"/></proof>
+ </goal>
+ <goal name="WP_parameter term_list_semantic_depend_only_free_var.3" expl="3. precondition">
+ <proof prover="9"><result status="valid" time="0.10" steps="17"/></proof>
+ </goal>
+ <goal name="WP_parameter term_list_semantic_depend_only_free_var.4" expl="4. precondition">
+ <proof prover="9"><result status="valid" time="0.09" steps="17"/></proof>
+ </goal>
+ <goal name="WP_parameter term_list_semantic_depend_only_free_var.5" expl="5. variant decrease">
+ <proof prover="9"><result status="valid" time="0.09" steps="9"/></proof>
+ </goal>
+ <goal name="WP_parameter term_list_semantic_depend_only_free_var.6" expl="6. precondition">
+ <proof prover="9"><result status="valid" time="0.10" steps="19"/></proof>
+ </goal>
+ <goal name="WP_parameter term_list_semantic_depend_only_free_var.7" expl="7. precondition">
+ <proof prover="9"><result status="valid" time="0.09" steps="19"/></proof>
+ </goal>
+ <goal name="WP_parameter term_list_semantic_depend_only_free_var.8" expl="8. postcondition">
+ <proof prover="9"><result status="valid" time="0.08" steps="8"/></proof>
+ </goal>
+ </transf>
+ </goal>
+ <goal name="WP_parameter formula_semantic_depend_only_free_var" expl="VC for formula_semantic_depend_only_free_var">
+ <transf name="split_goal_wp">
+ <goal name="WP_parameter formula_semantic_depend_only_free_var.1" expl="1. variant decrease">
+ <proof prover="9"><result status="valid" time="0.10" steps="10"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_semantic_depend_only_free_var.2" expl="2. precondition">
+ <proof prover="9"><result status="valid" time="0.11" steps="15"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_semantic_depend_only_free_var.3" expl="3. assertion">
+ <transf name="split_goal_wp">
+ <goal name="WP_parameter formula_semantic_depend_only_free_var.3.1" expl="1. assertion">
+ <proof prover="9"><result status="valid" time="0.10" steps="71"/></proof>
</goal>
- <goal
- name="WP_parameter formula_list_disj_semantic_term_subst_commutation"
- locfile="../Firstorder_semantics.mlw"
- loclnum="330" loccnumb="12" loccnume="61"
- expl="VC for formula_list_disj_semantic_term_subst_commutation"
- sum="56807c58f40f26a63f12b4a67c1678cf"
- proved="true"
- expanded="false"
- shape="aformula_list_disj_semanticV0V5asemantic_substV3V5V4qaformula_list_disj_semanticasubst_fo_formula_listV0asubst_id_symbolV3V5V4Iaformula_list_disj_semanticV0amodel_renameV6V5asemantic_substV3V5V4qaformula_list_disj_semanticasubst_fo_formula_listV0arcomposeV6asubst_id_symbolV3V5V4LaidentityLamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_list_disj_semantic_term_subst_commutation"/>
- <transf
- name="split_goal_wp"
- proved="true"
- expanded="false">
- <goal
- name="WP_parameter formula_list_disj_semantic_term_subst_commutation.1"
- locfile="../Firstorder_semantics.mlw"
- loclnum="330" loccnumb="12" loccnume="61"
- expl="1. postcondition"
- sum="56807c58f40f26a63f12b4a67c1678cf"
- proved="true"
- expanded="false"
- shape="postconditionaformula_list_disj_semanticV0V5asemantic_substV3V5V4qaformula_list_disj_semanticasubst_fo_formula_listV0asubst_id_symbolV3V5V4Iaformula_list_disj_semanticV0amodel_renameV6V5asemantic_substV3V5V4qaformula_list_disj_semanticasubst_fo_formula_listV0arcomposeV6asubst_id_symbolV3V5V4LaidentityLamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_list_disj_semantic_term_subst_commutation"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.12"/>
- </proof>
- </goal>
- </transf>
+ <goal name="WP_parameter formula_semantic_depend_only_free_var.3.2" expl="2. assertion">
+ <proof prover="9"><result status="valid" time="0.12" steps="70"/></proof>
</goal>
- <goal
- name="WP_parameter tableau_semantic_subst_commutation"
- locfile="../Firstorder_semantics.mlw"
- loclnum="339" loccnumb="16" loccnume="50"
- expl="VC for tableau_semantic_subst_commutation"
- sum="ec90210428ae80f1a40095df7844a31e"
- proved="true"
- expanded="false"
- shape="Catableau_semantic_withV0V3amodel_renameV4V7asemantic_substV5V7V6qatableau_semantic_withasubst_tableauV0arcomposeV4asubst_id_symbolV5V3V7V6aRootatableau_semantic_withV0V3amodel_renameV4V7asemantic_substV5V7V6qatableau_semantic_withasubst_tableauV0arcomposeV4asubst_id_symbolV5V3V7V6Iatableau_semantic_withV8iaFalseaTrueatableau_nodeV3asubst_fo_formula_listV10V11V5asubst_fo_formulaV9V11V5V7V6amodel_renameV4V7asemantic_substV5V7V6qatableau_semantic_withasubst_tableauV8arcomposeV4asubst_id_symbolV5iaFalseaTrueatableau_nodeV3asubst_fo_formula_listV10V11V5asubst_fo_formulaV9V11V5V7V6V7V6Aainfix <asize_tableauV8asize_tableauV0Aainfix <=c0asize_tableauV0LarcomposeV4asubst_id_symbolaNodeVVVV0Lamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for tableau_semantic_subst_commutation"/>
- <transf
- name="split_goal_wp"
- proved="true"
- expanded="false">
- <goal
- name="WP_parameter tableau_semantic_subst_commutation.1"
- locfile="../Firstorder_semantics.mlw"
- loclnum="339" loccnumb="16" loccnume="50"
- expl="1. postcondition"
- sum="a7cf9ead512e16ac76b479c487e5de78"
- proved="true"
- expanded="false"
- shape="postconditionCatableau_semantic_withV0V3amodel_renameV4V7asemantic_substV5V7V6qatableau_semantic_withasubst_tableauV0arcomposeV4asubst_id_symbolV5V3V7V6aRoottaNodeVVVV0Lamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for tableau_semantic_subst_commutation"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.13"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter tableau_semantic_subst_commutation.2"
- locfile="../Firstorder_semantics.mlw"
- loclnum="339" loccnumb="16" loccnume="50"
- expl="2. variant decrease"
- sum="24e951ccc4073e11d7d069725a549a4b"
- proved="true"
- expanded="false"
- shape="variant decreaseCtaRootainfix <asize_tableauV8asize_tableauV0Aainfix <=c0asize_tableauV0LarcomposeV4asubst_id_symbolaNodeVVVV0Lamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for tableau_semantic_subst_commutation"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.12"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter tableau_semantic_subst_commutation.3"
- locfile="../Firstorder_semantics.mlw"
- loclnum="339" loccnumb="16" loccnume="50"
- expl="3. postcondition"
- sum="2bd90f10e9af34751ceb5453661853f6"
- proved="true"
- expanded="false"
- shape="postconditionCtaRootatableau_semantic_withV0V3amodel_renameV4V7asemantic_substV5V7V6qatableau_semantic_withasubst_tableauV0arcomposeV4asubst_id_symbolV5V3V7V6Iatableau_semantic_withV8iaFalseaTrueatableau_nodeV3asubst_fo_formula_listV10V11V5asubst_fo_formulaV9V11V5V7V6amodel_renameV4V7asemantic_substV5V7V6qatableau_semantic_withasubst_tableauV8arcomposeV4asubst_id_symbolV5iaFalseaTrueatableau_nodeV3asubst_fo_formula_listV10V11V5asubst_fo_formulaV9V11V5V7V6V7V6LarcomposeV4asubst_id_symbolaNodeVVVV0Lamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for tableau_semantic_subst_commutation"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.86"/>
- </proof>
- </goal>
- </transf>
+ <goal name="WP_parameter formula_semantic_depend_only_free_var.3.3" expl="3. assertion">
+ <proof prover="9"><result status="valid" time="0.14" steps="7"/></proof>
</goal>
- <goal
- name="WP_parameter tableau_semantic_term_subst_commutation"
- locfile="../Firstorder_semantics.mlw"
- loclnum="362" loccnumb="12" loccnume="51"
- expl="VC for tableau_semantic_term_subst_commutation"
- sum="38c73f5e28e7dc355990ceafae8ba4d7"
- proved="true"
- expanded="false"
- shape="atableau_semantic_withV0V1V6asemantic_substV4V6V5qatableau_semantic_withasubst_tableauV0asubst_id_symbolV4V1V6V5Iatableau_semantic_withV0V1amodel_renameV7V6asemantic_substV4V6V5qatableau_semantic_withasubst_tableauV0arcomposeV7asubst_id_symbolV4V1V6V5LaidentityLamk modelV2V3F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for tableau_semantic_term_subst_commutation"/>
- <transf
- name="split_goal_wp"
- proved="true"
- expanded="false">
- <goal
- name="WP_parameter tableau_semantic_term_subst_commutation.1"
- locfile="../Firstorder_semantics.mlw"
- loclnum="362" loccnumb="12" loccnume="51"
- expl="1. postcondition"
- sum="38c73f5e28e7dc355990ceafae8ba4d7"
- proved="true"
- expanded="false"
- shape="postconditionatableau_semantic_withV0V1V6asemantic_substV4V6V5qatableau_semantic_withasubst_tableauV0asubst_id_symbolV4V1V6V5Iatableau_semantic_withV0V1amodel_renameV7V6asemantic_substV4V6V5qatableau_semantic_withasubst_tableauV0arcomposeV7asubst_id_symbolV4V1V6V5LaidentityLamk modelV2V3F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for tableau_semantic_term_subst_commutation"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.16"/>
- </proof>
- </goal>
- </transf>
+ <goal name="WP_parameter formula_semantic_depend_only_free_var.3.4" expl="4. assertion">
+ <proof prover="9"><result status="valid" time="0.13" steps="36"/></proof>
</goal>
- <goal
- name="WP_parameter term_semantic_depend_only_free_var"
- locfile="../Firstorder_semantics.mlw"
- loclnum="371" loccnumb="16" loccnume="50"
- expl="VC for term_semantic_depend_only_free_var"
- sum="3f54413120417b35dacab254f29ce17c"
- proved="true"
- expanded="false"
- shape="Cainfix =aterm_semanticV0V8V5aterm_semanticV0V7V6aVar_fo_termVainfix =aterm_semanticV0V8V5aterm_semanticV0V7V6Aais_symbol_free_var_in_fo_termV10V0Iainfix =aterm_list_semanticV11V8V5aterm_list_semanticV11V7V6Aainfix =ainfix @!V5V12ainfix @!V6V12Iais_fo_term_free_var_in_fo_term_listV12V11FAainfix =aevalV2V13aevalV4V13Aainfix =aevalV1V13aevalV3V13Iais_symbol_free_var_in_fo_term_listV13V11FAainfix <asize_fo_term_listV11asize_fo_termV0Aainfix <=c0asize_fo_termV0aAppaVar_symbolVVV0Iainfix =ainfix @!V5V14ainfix @!V6V14Iais_fo_term_free_var_in_fo_termV14V0FAainfix =aevalV2V15aevalV4V15Aainfix =aevalV1V15aevalV3V15Iais_symbol_free_var_in_fo_termV15V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for term_semantic_depend_only_free_var"/>
- <transf
- name="split_goal_wp"
- proved="true"
- expanded="false">
- <goal
- name="WP_parameter term_semantic_depend_only_free_var.1"
- locfile="../Firstorder_semantics.mlw"
- loclnum="371" loccnumb="16" loccnume="50"
- expl="1. postcondition"
- sum="750c80309e2dd8d0c7316ab4129beded"
- proved="true"
- expanded="false"
- shape="postconditionCainfix =aterm_semanticV0V8V5aterm_semanticV0V7V6aVar_fo_termVtaAppaVar_symbolVVV0Iainfix =ainfix @!V5V12ainfix @!V6V12Iais_fo_term_free_var_in_fo_termV12V0FAainfix =aevalV2V13aevalV4V13Aainfix =aevalV1V13aevalV3V13Iais_symbol_free_var_in_fo_termV13V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for term_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.10"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter term_semantic_depend_only_free_var.2"
- locfile="../Firstorder_semantics.mlw"
- loclnum="371" loccnumb="16" loccnume="50"
- expl="2. variant decrease"
- sum="205f62ecc5dce67ab4bff3096297397c"
- proved="true"
- expanded="false"
- shape="variant decreaseCtaVar_fo_termVainfix <asize_fo_term_listV11asize_fo_termV0Aainfix <=c0asize_fo_termV0aAppaVar_symbolVVV0Iainfix =ainfix @!V5V12ainfix @!V6V12Iais_fo_term_free_var_in_fo_termV12V0FAainfix =aevalV2V13aevalV4V13Aainfix =aevalV1V13aevalV3V13Iais_symbol_free_var_in_fo_termV13V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for term_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.09"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter term_semantic_depend_only_free_var.3"
- locfile="../Firstorder_semantics.mlw"
- loclnum="371" loccnumb="16" loccnume="50"
- expl="3. precondition"
- sum="7058e3bcee5b3b8e82403ec14cd23c7a"
- proved="true"
- expanded="false"
- shape="preconditionCtaVar_fo_termVainfix =aevalV2V12aevalV4V12Aainfix =aevalV1V12aevalV3V12Iais_symbol_free_var_in_fo_term_listV12V11FaAppaVar_symbolVVV0Iainfix =ainfix @!V5V13ainfix @!V6V13Iais_fo_term_free_var_in_fo_termV13V0FAainfix =aevalV2V14aevalV4V14Aainfix =aevalV1V14aevalV3V14Iais_symbol_free_var_in_fo_termV14V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for term_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.09"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter term_semantic_depend_only_free_var.4"
- locfile="../Firstorder_semantics.mlw"
- loclnum="371" loccnumb="16" loccnume="50"
- expl="4. precondition"
- sum="b0662c0146ee498e2e090682fd5ff670"
- proved="true"
- expanded="false"
- shape="preconditionCtaVar_fo_termVainfix =ainfix @!V5V12ainfix @!V6V12Iais_fo_term_free_var_in_fo_term_listV12V11FaAppaVar_symbolVVV0Iainfix =ainfix @!V5V13ainfix @!V6V13Iais_fo_term_free_var_in_fo_termV13V0FAainfix =aevalV2V14aevalV4V14Aainfix =aevalV1V14aevalV3V14Iais_symbol_free_var_in_fo_termV14V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for term_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.11"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter term_semantic_depend_only_free_var.5"
- locfile="../Firstorder_semantics.mlw"
- loclnum="371" loccnumb="16" loccnume="50"
- expl="5. assertion"
- sum="d52eed56ce0a6f067b09ee231e2006f3"
- proved="true"
- expanded="false"
- shape="assertionCtaVar_fo_termVais_symbol_free_var_in_fo_termV10V0Iainfix =aterm_list_semanticV11V8V5aterm_list_semanticV11V7V6Iainfix =ainfix @!V5V12ainfix @!V6V12Iais_fo_term_free_var_in_fo_term_listV12V11FAainfix =aevalV2V13aevalV4V13Aainfix =aevalV1V13aevalV3V13Iais_symbol_free_var_in_fo_term_listV13V11FaAppaVar_symbolVVV0Iainfix =ainfix @!V5V14ainfix @!V6V14Iais_fo_term_free_var_in_fo_termV14V0FAainfix =aevalV2V15aevalV4V15Aainfix =aevalV1V15aevalV3V15Iais_symbol_free_var_in_fo_termV15V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for term_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.09"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter term_semantic_depend_only_free_var.6"
- locfile="../Firstorder_semantics.mlw"
- loclnum="371" loccnumb="16" loccnume="50"
- expl="6. postcondition"
- sum="4c78f93d63832c5f9fad07afab6f61ae"
- proved="true"
- expanded="false"
- shape="postconditionCtaVar_fo_termVainfix =aterm_semanticV0V8V5aterm_semanticV0V7V6Iais_symbol_free_var_in_fo_termV10V0Iainfix =aterm_list_semanticV11V8V5aterm_list_semanticV11V7V6Iainfix =ainfix @!V5V12ainfix @!V6V12Iais_fo_term_free_var_in_fo_term_listV12V11FAainfix =aevalV2V13aevalV4V13Aainfix =aevalV1V13aevalV3V13Iais_symbol_free_var_in_fo_term_listV13V11FaAppaVar_symbolVVV0Iainfix =ainfix @!V5V14ainfix @!V6V14Iais_fo_term_free_var_in_fo_termV14V0FAainfix =aevalV2V15aevalV4V15Aainfix =aevalV1V15aevalV3V15Iais_symbol_free_var_in_fo_termV15V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for term_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="true"
- archived="false">
- <result status="unknown" time="2.92"/>
- </proof>
- <proof
- prover="1"
- timelimit="5"
- memlimit="1000"
- obsolete="true"
- archived="false">
- <result status="unknown" time="3.13"/>
- </proof>
- <proof
- prover="2"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.51"/>
- </proof>
- <proof
- prover="3"
- timelimit="5"
- memlimit="1000"
- obsolete="true"
- archived="false">
- <result status="timeout" time="5.58"/>
- </proof>
- <proof
- prover="4"
- timelimit="5"
- memlimit="1000"
- obsolete="true"
- archived="false">
- <result status="timeout" time="4.99"/>
- </proof>
- <proof
- prover="5"
- timelimit="5"
- memlimit="1000"
- obsolete="true"
- archived="false">
- <result status="timeout" time="4.89"/>
- </proof>
- <proof
- prover="6"
- timelimit="5"
- memlimit="1000"
- obsolete="true"
- archived="false">
- <result status="unknown" time="9.43"/>
- </proof>
- <proof
- prover="8"
- timelimit="5"
- memlimit="1000"
- obsolete="true"
- archived="false">
- <result status="timeout" time="5.70"/>
- </proof>
- </goal>
- </transf>
+ <goal name="WP_parameter formula_semantic_depend_only_free_var.3.5" expl="5. assertion">
+ <proof prover="9"><result status="valid" time="0.14" steps="96"/></proof>
</goal>
- <goal
- name="WP_parameter term_list_semantic_depend_only_free_var"
- locfile="../Firstorder_semantics.mlw"
- loclnum="386" loccnumb="13" loccnume="52"
- expl="VC for term_list_semantic_depend_only_free_var"
- sum="2950fcda9dc67473c1ddbee7cc33bb38"
- proved="true"
- expanded="false"
- shape="Cainfix =aterm_list_semanticV0V8V5aterm_list_semanticV0V7V6aFONilainfix =aterm_list_semanticV0V8V5aterm_list_semanticV0V7V6Iainfix =aterm_list_semanticV10V8V5aterm_list_semanticV10V7V6Aainfix =ainfix @!V5V11ainfix @!V6V11Iais_fo_term_free_var_in_fo_term_listV11V10FAainfix =aevalV2V12aevalV4V12Aainfix =aevalV1V12aevalV3V12Iais_symbol_free_var_in_fo_term_listV12V10FAainfix <asize_fo_term_listV10asize_fo_term_listV0Aainfix <=c0asize_fo_term_listV0Iainfix =aterm_semanticV9V8V5aterm_semanticV9V7V6Aainfix =ainfix @!V5V13ainfix @!V6V13Iais_fo_term_free_var_in_fo_termV13V9FAainfix =aevalV2V14aevalV4V14Aainfix =aevalV1V14aevalV3V14Iais_symbol_free_var_in_fo_termV14V9FAainfix <asize_fo_termV9asize_fo_term_listV0Aainfix <=c0asize_fo_term_listV0aFOConsVVV0Iainfix =ainfix @!V5V15ainfix @!V6V15Iais_fo_term_free_var_in_fo_term_listV15V0FAainfix =aevalV2V16aevalV4V16Aainfix =aevalV1V16aevalV3V16Iais_symbol_free_var_in_fo_term_listV16V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for term_list_semantic_depend_only_free_var"/>
- <transf
- name="split_goal_wp"
- proved="true"
- expanded="false">
- <goal
- name="WP_parameter term_list_semantic_depend_only_free_var.1"
- locfile="../Firstorder_semantics.mlw"
- loclnum="386" loccnumb="13" loccnume="52"
- expl="1. postcondition"
- sum="01e5c301a73013e6316b85d31155aa0b"
- proved="true"
- expanded="false"
- shape="postconditionCainfix =aterm_list_semanticV0V8V5aterm_list_semanticV0V7V6aFONiltaFOConsVVV0Iainfix =ainfix @!V5V11ainfix @!V6V11Iais_fo_term_free_var_in_fo_term_listV11V0FAainfix =aevalV2V12aevalV4V12Aainfix =aevalV1V12aevalV3V12Iais_symbol_free_var_in_fo_term_listV12V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for term_list_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.09"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter term_list_semantic_depend_only_free_var.2"
- locfile="../Firstorder_semantics.mlw"
- loclnum="386" loccnumb="13" loccnume="52"
- expl="2. variant decrease"
- sum="ad97296ad29664d2ead377453a6ed3bc"
- proved="true"
- expanded="false"
- shape="variant decreaseCtaFONilainfix <asize_fo_termV9asize_fo_term_listV0Aainfix <=c0asize_fo_term_listV0aFOConsVVV0Iainfix =ainfix @!V5V11ainfix @!V6V11Iais_fo_term_free_var_in_fo_term_listV11V0FAainfix =aevalV2V12aevalV4V12Aainfix =aevalV1V12aevalV3V12Iais_symbol_free_var_in_fo_term_listV12V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for term_list_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.10"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter term_list_semantic_depend_only_free_var.3"
- locfile="../Firstorder_semantics.mlw"
- loclnum="386" loccnumb="13" loccnume="52"
- expl="3. precondition"
- sum="c4eaae1c8703f125189c14b766514ee2"
- proved="true"
- expanded="false"
- shape="preconditionCtaFONilainfix =aevalV2V11aevalV4V11Aainfix =aevalV1V11aevalV3V11Iais_symbol_free_var_in_fo_termV11V9FaFOConsVVV0Iainfix =ainfix @!V5V12ainfix @!V6V12Iais_fo_term_free_var_in_fo_term_listV12V0FAainfix =aevalV2V13aevalV4V13Aainfix =aevalV1V13aevalV3V13Iais_symbol_free_var_in_fo_term_listV13V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for term_list_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.10"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter term_list_semantic_depend_only_free_var.4"
- locfile="../Firstorder_semantics.mlw"
- loclnum="386" loccnumb="13" loccnume="52"
- expl="4. precondition"
- sum="9118b2972e1bdc4481720713cefa7139"
- proved="true"
- expanded="false"
- shape="preconditionCtaFONilainfix =ainfix @!V5V11ainfix @!V6V11Iais_fo_term_free_var_in_fo_termV11V9FaFOConsVVV0Iainfix =ainfix @!V5V12ainfix @!V6V12Iais_fo_term_free_var_in_fo_term_listV12V0FAainfix =aevalV2V13aevalV4V13Aainfix =aevalV1V13aevalV3V13Iais_symbol_free_var_in_fo_term_listV13V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for term_list_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.09"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter term_list_semantic_depend_only_free_var.5"
- locfile="../Firstorder_semantics.mlw"
- loclnum="386" loccnumb="13" loccnume="52"
- expl="5. variant decrease"
- sum="2db42619a2556679466920d03836f679"
- proved="true"
- expanded="false"
- shape="variant decreaseCtaFONilainfix <asize_fo_term_listV10asize_fo_term_listV0Aainfix <=c0asize_fo_term_listV0Iainfix =aterm_semanticV9V8V5aterm_semanticV9V7V6Iainfix =ainfix @!V5V11ainfix @!V6V11Iais_fo_term_free_var_in_fo_termV11V9FAainfix =aevalV2V12aevalV4V12Aainfix =aevalV1V12aevalV3V12Iais_symbol_free_var_in_fo_termV12V9FaFOConsVVV0Iainfix =ainfix @!V5V13ainfix @!V6V13Iais_fo_term_free_var_in_fo_term_listV13V0FAainfix =aevalV2V14aevalV4V14Aainfix =aevalV1V14aevalV3V14Iais_symbol_free_var_in_fo_term_listV14V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for term_list_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.09"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter term_list_semantic_depend_only_free_var.6"
- locfile="../Firstorder_semantics.mlw"
- loclnum="386" loccnumb="13" loccnume="52"
- expl="6. precondition"
- sum="409b8d8d19af20d3e2912d575c97660c"
- proved="true"
- expanded="false"
- shape="preconditionCtaFONilainfix =aevalV2V11aevalV4V11Aainfix =aevalV1V11aevalV3V11Iais_symbol_free_var_in_fo_term_listV11V10FIainfix =aterm_semanticV9V8V5aterm_semanticV9V7V6Iainfix =ainfix @!V5V12ainfix @!V6V12Iais_fo_term_free_var_in_fo_termV12V9FAainfix =aevalV2V13aevalV4V13Aainfix =aevalV1V13aevalV3V13Iais_symbol_free_var_in_fo_termV13V9FaFOConsVVV0Iainfix =ainfix @!V5V14ainfix @!V6V14Iais_fo_term_free_var_in_fo_term_listV14V0FAainfix =aevalV2V15aevalV4V15Aainfix =aevalV1V15aevalV3V15Iais_symbol_free_var_in_fo_term_listV15V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for term_list_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.10"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter term_list_semantic_depend_only_free_var.7"
- locfile="../Firstorder_semantics.mlw"
- loclnum="386" loccnumb="13" loccnume="52"
- expl="7. precondition"
- sum="b40ab6b795d9c66302af32c7f5d5fae1"
- proved="true"
- expanded="false"
- shape="preconditionCtaFONilainfix =ainfix @!V5V11ainfix @!V6V11Iais_fo_term_free_var_in_fo_term_listV11V10FIainfix =aterm_semanticV9V8V5aterm_semanticV9V7V6Iainfix =ainfix @!V5V12ainfix @!V6V12Iais_fo_term_free_var_in_fo_termV12V9FAainfix =aevalV2V13aevalV4V13Aainfix =aevalV1V13aevalV3V13Iais_symbol_free_var_in_fo_termV13V9FaFOConsVVV0Iainfix =ainfix @!V5V14ainfix @!V6V14Iais_fo_term_free_var_in_fo_term_listV14V0FAainfix =aevalV2V15aevalV4V15Aainfix =aevalV1V15aevalV3V15Iais_symbol_free_var_in_fo_term_listV15V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for term_list_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.09"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter term_list_semantic_depend_only_free_var.8"
- locfile="../Firstorder_semantics.mlw"
- loclnum="386" loccnumb="13" loccnume="52"
- expl="8. postcondition"
- sum="f7856665c69c7e3ce36b4b1368d96393"
- proved="true"
- expanded="false"
- shape="postconditionCtaFONilainfix =aterm_list_semanticV0V8V5aterm_list_semanticV0V7V6Iainfix =aterm_list_semanticV10V8V5aterm_list_semanticV10V7V6Iainfix =ainfix @!V5V11ainfix @!V6V11Iais_fo_term_free_var_in_fo_term_listV11V10FAainfix =aevalV2V12aevalV4V12Aainfix =aevalV1V12aevalV3V12Iais_symbol_free_var_in_fo_term_listV12V10FIainfix =aterm_semanticV9V8V5aterm_semanticV9V7V6Iainfix =ainfix @!V5V13ainfix @!V6V13Iais_fo_term_free_var_in_fo_termV13V9FAainfix =aevalV2V14aevalV4V14Aainfix =aevalV1V14aevalV3V14Iais_symbol_free_var_in_fo_termV14V9FaFOConsVVV0Iainfix =ainfix @!V5V15ainfix @!V6V15Iais_fo_term_free_var_in_fo_term_listV15V0FAainfix =aevalV2V16aevalV4V16Aainfix =aevalV1V16aevalV3V16Iais_symbol_free_var_in_fo_term_listV16V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for term_list_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.08"/>
- </proof>
- </goal>
- </transf>
+ <goal name="WP_parameter formula_semantic_depend_only_free_var.3.6" expl="6. assertion">
+ <proof prover="9"><result status="valid" time="0.14" steps="116"/></proof>
</goal>
- <goal
- name="WP_parameter formula_semantic_depend_only_free_var"
- locfile="../Firstorder_semantics.mlw"
- loclnum="401" loccnumb="12" loccnume="49"
- expl="VC for formula_semantic_depend_only_free_var"
- sum="84a4dc88e6116f59c30eba1ed58d03b5"
- proved="true"
- expanded="false"
- shape="aformula_semanticV0V7V6qaformula_semanticV0V8V5Iaformula_semanticV0V7V10qaformula_semanticV0V8V9Iainfix =ainfix @!V9V11ainfix @!V10V11Iais_fo_term_free_var_in_fo_formulaV11V0FFAainfix =aevalV2V12aevalV4V12Aainfix =aevalV1V12aevalV3V12Iais_symbol_free_var_in_fo_formulaV12V0FACaformula_semanticV13V18V22qaformula_semanticV13V19V21Iainfix =ainfix @!V21V23ainfix @!V22V23Iais_fo_term_free_var_in_fo_formulaV23V13FFAaformula_semanticV13V18V25qaformula_semanticV20V19aocaseV25V26FAaformula_semanticV13V19V24qaformula_semanticV20V19aocaseV24V27FAaformula_semanticV20V18aocaseV25V28qaformula_semanticV20V19aocaseV24V28FIainfix =ainfix @!V24V29ainfix @!V25V29Iais_fo_term_free_var_in_fo_formulaV29V13FFIaformula_semanticV20V18V31qaformula_semanticV20V19V30Iainfix =ainfix @!V30V32ainfix @!V31V32Iais_fo_term_free_var_in_fo_formulaV32V20FFAainfix =aevalV15V33aevalV17V33Aainfix =aevalV14V33aevalV16V33Iais_symbol_free_var_in_fo_formulaV33V20FAainfix <asize_fo_formulaV20asize_fo_formulaV13Aainfix <=c0asize_fo_formulaV13aForallVaformula_semanticV13V18V36qaformula_semanticV13V19V35Iainfix =ainfix @!V35V37ainfix @!V36V37Iais_fo_term_free_var_in_fo_formulaV37V13FFAaformula_semanticV13V18V39qaformula_semanticV34V19aocaseV39V40EAaformula_semanticV13V19V38qaformula_semanticV34V19aocaseV38V41EAaformula_semanticV34V18aocaseV39V42qaformula_semanticV34V19aocaseV38V42FIainfix =ainfix @!V38V43ainfix @!V39V43Iais_fo_term_free_var_in_fo_formulaV43V13FFIaformula_semanticV34V18V45qaformula_semanticV34V19V44Iainfix =ainfix @!V44V46ainfix @!V45V46Iais_fo_term_free_var_in_fo_formulaV46V34FFAainfix =aevalV15V47aevalV17V47Aainfix =aevalV14V47aevalV16V47Iais_symbol_free_var_in_fo_formulaV47V34FAainfix <asize_fo_formulaV34asize_fo_formulaV13Aainfix <=c0asize_fo_formulaV13aExistsVaformula_semanticV13V18V51qaformula_semanticV13V19V50Iainfix =ainfix @!V50V52ainfix @!V51V52Iais_fo_term_free_var_in_fo_formulaV52V13FFIaformula_semanticV49V18V54qaformula_semanticV49V19V53Iainfix =ainfix @!V53V55ainfix @!V54V55Iais_fo_term_free_var_in_fo_formulaV55V49FFAainfix =aevalV15V56aevalV17V56Aainfix =aevalV14V56aevalV16V56Iais_symbol_free_var_in_fo_formulaV56V49FAainfix <asize_fo_formulaV49asize_fo_formulaV13Aainfix <=c0asize_fo_formulaV13Iaformula_semanticV48V18V58qaformula_semanticV48V19V57Iainfix =ainfix @!V57V59ainfix @!V58V59Iais_fo_term_free_var_in_fo_formulaV59V48FFAainfix =aevalV15V60aevalV17V60Aainfix =aevalV14V60aevalV16V60Iais_symbol_free_var_in_fo_formulaV60V48FAainfix <asize_fo_formulaV48asize_fo_formulaV13Aainfix <=c0asize_fo_formulaV13aAndVVaformula_semanticV13V18V64qaformula_semanticV13V19V63Iainfix =ainfix @!V63V65ainfix @!V64V65Iais_fo_term_free_var_in_fo_formulaV65V13FFIaformula_semanticV62V18V67qaformula_semanticV62V19V66Iainfix =ainfix @!V66V68ainfix @!V67V68Iais_fo_term_free_var_in_fo_formulaV68V62FFAainfix =aevalV15V69aevalV17V69Aainfix =aevalV14V69aevalV16V69Iais_symbol_free_var_in_fo_formulaV69V62FAainfix <asize_fo_formulaV62asize_fo_formulaV13Aainfix <=c0asize_fo_formulaV13Iaformula_semanticV61V18V71qaformula_semanticV61V19V70Iainfix =ainfix @!V70V72ainfix @!V71V72Iais_fo_term_free_var_in_fo_formulaV72V61FFAainfix =aevalV15V73aevalV17V73Aainfix =aevalV14V73aevalV16V73Iais_symbol_free_var_in_fo_formulaV73V61FAainfix <asize_fo_formulaV61asize_fo_formulaV13Aainfix <=c0asize_fo_formulaV13aOrVVaformula_semanticV13V18V76qaformula_semanticV13V19V75Iainfix =ainfix @!V75V77ainfix @!V76V77Iais_fo_term_free_var_in_fo_formulaV77V13FFIaformula_semanticV74V18V79qaformula_semanticV74V19V78Iainfix =ainfix @!V78V80ainfix @!V79V80Iais_fo_term_free_var_in_fo_formulaV80V74FFAainfix =aevalV15V81aevalV17V81Aainfix =aevalV14V81aevalV16V81Iais_symbol_free_var_in_fo_formulaV81V74FAainfix <asize_fo_formulaV74asize_fo_formulaV13Aainfix <=c0asize_fo_formulaV13aNotVaformula_semanticV13V18V83qaformula_semanticV13V19V82Iainfix =ainfix @!V82V84ainfix @!V83V84Iais_fo_term_free_var_in_fo_formulaV84V13FFaFTrueaformula_semanticV13V18V86qaformula_semanticV13V19V85Iainfix =ainfix @!V85V87ainfix @!V86V87Iais_fo_term_free_var_in_fo_formulaV87V13FFaFFalseaformula_semanticV13V18V91qaformula_semanticV13V19V90Iainfix =ainfix @!V90V92ainfix @!V91V92Iais_fo_term_free_var_in_fo_formulaV92V13FFAainfix @?aevalV17V88aterm_list_semanticV89V18V94qaformula_semanticV13V18V94Aainfix @?aevalV15V88aterm_list_semanticV89V19V93qaformula_semanticV13V19V93Aainfix =aterm_list_semanticV89V19V93aterm_list_semanticV89V18V94Iainfix =ainfix @!V93V95ainfix @!V94V95Iais_fo_term_free_var_in_fo_formulaV95V13FFAais_symbol_free_var_in_fo_formulaV88V13aPAppaVar_symbolVVV13Iainfix =aevalV15V96aevalV17V96Aainfix =aevalV14V96aevalV16V96Iais_symbol_free_var_in_fo_formulaV96V13FLamk modelV14V15Lamk modelV16V17FIainfix =ainfix @!V5V97ainfix @!V6V97Iais_fo_term_free_var_in_fo_formulaV97V0FAainfix =aevalV2V98aevalV4V98Aainfix =aevalV1V98aevalV3V98Iais_symbol_free_var_in_fo_formulaV98V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_depend_only_free_var"/>
- <transf
- name="split_goal_wp"
- proved="true"
- expanded="false">
- <goal
- name="WP_parameter formula_semantic_depend_only_free_var.1"
- locfile="../Firstorder_semantics.mlw"
- loclnum="401" loccnumb="12" loccnume="49"
- expl="1. variant decrease"
- sum="787a8f7b35b6141665772403a23d8548"
- proved="true"
- expanded="false"
- shape="variant decreaseCainfix <asize_fo_formulaV16asize_fo_formulaV9Aainfix <=c0asize_fo_formulaV9aForallVtaExistsVtaAndVVtaOrVVtaNotVtaFTruetaFFalsetaPAppaVar_symbolVVV9Iainfix =aevalV11V25aevalV13V25Aainfix =aevalV10V25aevalV12V25Iais_symbol_free_var_in_fo_formulaV25V9FLamk modelV10V11Lamk modelV12V13FIainfix =ainfix @!V5V26ainfix @!V6V26Iais_fo_term_free_var_in_fo_formulaV26V0FAainfix =aevalV2V27aevalV4V27Aainfix =aevalV1V27aevalV3V27Iais_symbol_free_var_in_fo_formulaV27V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.10"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_depend_only_free_var.2"
- locfile="../Firstorder_semantics.mlw"
- loclnum="401" loccnumb="12" loccnume="49"
- expl="2. precondition"
- sum="a5e0a135664b28ce5dec960b4422018d"
- proved="true"
- expanded="false"
- shape="preconditionCainfix =aevalV11V17aevalV13V17Aainfix =aevalV10V17aevalV12V17Iais_symbol_free_var_in_fo_formulaV17V16FaForallVtaExistsVtaAndVVtaOrVVtaNotVtaFTruetaFFalsetaPAppaVar_symbolVVV9Iainfix =aevalV11V26aevalV13V26Aainfix =aevalV10V26aevalV12V26Iais_symbol_free_var_in_fo_formulaV26V9FLamk modelV10V11Lamk modelV12V13FIainfix =ainfix @!V5V27ainfix @!V6V27Iais_fo_term_free_var_in_fo_formulaV27V0FAainfix =aevalV2V28aevalV4V28Aainfix =aevalV1V28aevalV3V28Iais_symbol_free_var_in_fo_formulaV28V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.11"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_depend_only_free_var.3"
- locfile="../Firstorder_semantics.mlw"
- loclnum="401" loccnumb="12" loccnume="49"
- expl="3. assertion"
- sum="8c8eb17a6c27c068ae7369569ac3f575"
- proved="true"
- expanded="false"
- shape="assertionCaformula_semanticV9V14V18qaformula_semanticV16V15aocaseV18V19FAaformula_semanticV9V15V17qaformula_semanticV16V15aocaseV17V20FAaformula_semanticV16V14aocaseV18V21qaformula_semanticV16V15aocaseV17V21FIainfix =ainfix @!V17V22ainfix @!V18V22Iais_fo_term_free_var_in_fo_formulaV22V9FFIaformula_semanticV16V14V24qaformula_semanticV16V15V23Iainfix =ainfix @!V23V25ainfix @!V24V25Iais_fo_term_free_var_in_fo_formulaV25V16FFIainfix =aevalV11V26aevalV13V26Aainfix =aevalV10V26aevalV12V26Iais_symbol_free_var_in_fo_formulaV26V16FaForallVtaExistsVtaAndVVtaOrVVtaNotVtaFTruetaFFalsetaPAppaVar_symbolVVV9Iainfix =aevalV11V35aevalV13V35Aainfix =aevalV10V35aevalV12V35Iais_symbol_free_var_in_fo_formulaV35V9FLamk modelV10V11Lamk modelV12V13FIainfix =ainfix @!V5V36ainfix @!V6V36Iais_fo_term_free_var_in_fo_formulaV36V0FAainfix =aevalV2V37aevalV4V37Aainfix =aevalV1V37aevalV3V37Iais_symbol_free_var_in_fo_formulaV37V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_depend_only_free_var"/>
- <transf
- name="split_goal_wp"
- proved="true"
- expanded="false">
- <goal
- name="WP_parameter formula_semantic_depend_only_free_var.3.1"
- locfile="../Firstorder_semantics.mlw"
- loclnum="401" loccnumb="12" loccnume="49"
- expl="1. assertion"
- sum="1e0fa130e49486610155e28cd2ad699d"
- proved="true"
- expanded="false"
- shape="assertionCaformula_semanticV16V14aocaseV18V19Iaformula_semanticV16V15aocaseV17V19FIainfix =ainfix @!V17V20ainfix @!V18V20Iais_fo_term_free_var_in_fo_formulaV20V9FFIaformula_semanticV16V14V22qaformula_semanticV16V15V21Iainfix =ainfix @!V21V23ainfix @!V22V23Iais_fo_term_free_var_in_fo_formulaV23V16FFIainfix =aevalV11V24aevalV13V24Aainfix =aevalV10V24aevalV12V24Iais_symbol_free_var_in_fo_formulaV24V16FaForallVtaExistsVtaAndVVtaOrVVtaNotVtaFTruetaFFalsetaPAppaVar_symbolVVV9Iainfix =aevalV11V33aevalV13V33Aainfix =aevalV10V33aevalV12V33Iais_symbol_free_var_in_fo_formulaV33V9FLamk modelV10V11Lamk modelV12V13FIainfix =ainfix @!V5V34ainfix @!V6V34Iais_fo_term_free_var_in_fo_formulaV34V0FAainfix =aevalV2V35aevalV4V35Aainfix =aevalV1V35aevalV3V35Iais_symbol_free_var_in_fo_formulaV35V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.10"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_depend_only_free_var.3.2"
- locfile="../Firstorder_semantics.mlw"
- loclnum="401" loccnumb="12" loccnume="49"
- expl="2. assertion"
- sum="6c5ff0e07c187c77d812a9b2f4b29584"
- proved="true"
- expanded="false"
- shape="assertionCaformula_semanticV16V15aocaseV17V19Iaformula_semanticV16V14aocaseV18V19FIainfix =ainfix @!V17V20ainfix @!V18V20Iais_fo_term_free_var_in_fo_formulaV20V9FFIaformula_semanticV16V14V22qaformula_semanticV16V15V21Iainfix =ainfix @!V21V23ainfix @!V22V23Iais_fo_term_free_var_in_fo_formulaV23V16FFIainfix =aevalV11V24aevalV13V24Aainfix =aevalV10V24aevalV12V24Iais_symbol_free_var_in_fo_formulaV24V16FaForallVtaExistsVtaAndVVtaOrVVtaNotVtaFTruetaFFalsetaPAppaVar_symbolVVV9Iainfix =aevalV11V33aevalV13V33Aainfix =aevalV10V33aevalV12V33Iais_symbol_free_var_in_fo_formulaV33V9FLamk modelV10V11Lamk modelV12V13FIainfix =ainfix @!V5V34ainfix @!V6V34Iais_fo_term_free_var_in_fo_formulaV34V0FAainfix =aevalV2V35aevalV4V35Aainfix =aevalV1V35aevalV3V35Iais_symbol_free_var_in_fo_formulaV35V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.12"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_depend_only_free_var.3.3"
- locfile="../Firstorder_semantics.mlw"
- loclnum="401" loccnumb="12" loccnume="49"
- expl="3. assertion"
- sum="c2316928f258b6a3616ce9cd6afa35e1"
- proved="true"
- expanded="false"
- shape="assertionCaformula_semanticV9V15V17Iaformula_semanticV16V15aocaseV17V19FIaformula_semanticV16V14aocaseV18V20qaformula_semanticV16V15aocaseV17V20FIainfix =ainfix @!V17V21ainfix @!V18V21Iais_fo_term_free_var_in_fo_formulaV21V9FFIaformula_semanticV16V14V23qaformula_semanticV16V15V22Iainfix =ainfix @!V22V24ainfix @!V23V24Iais_fo_term_free_var_in_fo_formulaV24V16FFIainfix =aevalV11V25aevalV13V25Aainfix =aevalV10V25aevalV12V25Iais_symbol_free_var_in_fo_formulaV25V16FaForallVtaExistsVtaAndVVtaOrVVtaNotVtaFTruetaFFalsetaPAppaVar_symbolVVV9Iainfix =aevalV11V34aevalV13V34Aainfix =aevalV10V34aevalV12V34Iais_symbol_free_var_in_fo_formulaV34V9FLamk modelV10V11Lamk modelV12V13FIainfix =ainfix @!V5V35ainfix @!V6V35Iais_fo_term_free_var_in_fo_formulaV35V0FAainfix =aevalV2V36aevalV4V36Aainfix =aevalV1V36aevalV3V36Iais_symbol_free_var_in_fo_formulaV36V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.14"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_depend_only_free_var.3.4"
- locfile="../Firstorder_semantics.mlw"
- loclnum="401" loccnumb="12" loccnume="49"
- expl="4. assertion"
- sum="6cf214757d73a7671760896a03b298eb"
- proved="true"
- expanded="false"
- shape="assertionCaformula_semanticV16V15aocaseV17V19FIaformula_semanticV9V15V17Iaformula_semanticV16V14aocaseV18V20qaformula_semanticV16V15aocaseV17V20FIainfix =ainfix @!V17V21ainfix @!V18V21Iais_fo_term_free_var_in_fo_formulaV21V9FFIaformula_semanticV16V14V23qaformula_semanticV16V15V22Iainfix =ainfix @!V22V24ainfix @!V23V24Iais_fo_term_free_var_in_fo_formulaV24V16FFIainfix =aevalV11V25aevalV13V25Aainfix =aevalV10V25aevalV12V25Iais_symbol_free_var_in_fo_formulaV25V16FaForallVtaExistsVtaAndVVtaOrVVtaNotVtaFTruetaFFalsetaPAppaVar_symbolVVV9Iainfix =aevalV11V34aevalV13V34Aainfix =aevalV10V34aevalV12V34Iais_symbol_free_var_in_fo_formulaV34V9FLamk modelV10V11Lamk modelV12V13FIainfix =ainfix @!V5V35ainfix @!V6V35Iais_fo_term_free_var_in_fo_formulaV35V0FAainfix =aevalV2V36aevalV4V36Aainfix =aevalV1V36aevalV3V36Iais_symbol_free_var_in_fo_formulaV36V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.13"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_depend_only_free_var.3.5"
- locfile="../Firstorder_semantics.mlw"
- loclnum="401" loccnumb="12" loccnume="49"
- expl="5. assertion"
- sum="9e376147e77fe8122bbd7272811f57d3"
- proved="true"
- expanded="false"
- shape="assertionCaformula_semanticV9V14V18Iaformula_semanticV16V15aocaseV18V19FIaformula_semanticV9V15V17qaformula_semanticV16V15aocaseV17V20FIaformula_semanticV16V14aocaseV18V21qaformula_semanticV16V15aocaseV17V21FIainfix =ainfix @!V17V22ainfix @!V18V22Iais_fo_term_free_var_in_fo_formulaV22V9FFIaformula_semanticV16V14V24qaformula_semanticV16V15V23Iainfix =ainfix @!V23V25ainfix @!V24V25Iais_fo_term_free_var_in_fo_formulaV25V16FFIainfix =aevalV11V26aevalV13V26Aainfix =aevalV10V26aevalV12V26Iais_symbol_free_var_in_fo_formulaV26V16FaForallVtaExistsVtaAndVVtaOrVVtaNotVtaFTruetaFFalsetaPAppaVar_symbolVVV9Iainfix =aevalV11V35aevalV13V35Aainfix =aevalV10V35aevalV12V35Iais_symbol_free_var_in_fo_formulaV35V9FLamk modelV10V11Lamk modelV12V13FIainfix =ainfix @!V5V36ainfix @!V6V36Iais_fo_term_free_var_in_fo_formulaV36V0FAainfix =aevalV2V37aevalV4V37Aainfix =aevalV1V37aevalV3V37Iais_symbol_free_var_in_fo_formulaV37V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.14"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_depend_only_free_var.3.6"
- locfile="../Firstorder_semantics.mlw"
- loclnum="401" loccnumb="12" loccnume="49"
- expl="6. assertion"
- sum="7ab3c7d862df219101b58e4c2ab6e61c"
- proved="true"
- expanded="false"
- shape="assertionCaformula_semanticV16V15aocaseV18V19FIaformula_semanticV9V14V18Iaformula_semanticV9V15V17qaformula_semanticV16V15aocaseV17V20FIaformula_semanticV16V14aocaseV18V21qaformula_semanticV16V15aocaseV17V21FIainfix =ainfix @!V17V22ainfix @!V18V22Iais_fo_term_free_var_in_fo_formulaV22V9FFIaformula_semanticV16V14V24qaformula_semanticV16V15V23Iainfix =ainfix @!V23V25ainfix @!V24V25Iais_fo_term_free_var_in_fo_formulaV25V16FFIainfix =aevalV11V26aevalV13V26Aainfix =aevalV10V26aevalV12V26Iais_symbol_free_var_in_fo_formulaV26V16FaForallVtaExistsVtaAndVVtaOrVVtaNotVtaFTruetaFFalsetaPAppaVar_symbolVVV9Iainfix =aevalV11V35aevalV13V35Aainfix =aevalV10V35aevalV12V35Iais_symbol_free_var_in_fo_formulaV35V9FLamk modelV10V11Lamk modelV12V13FIainfix =ainfix @!V5V36ainfix @!V6V36Iais_fo_term_free_var_in_fo_formulaV36V0FAainfix =aevalV2V37aevalV4V37Aainfix =aevalV1V37aevalV3V37Iais_symbol_free_var_in_fo_formulaV37V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.14"/>
- </proof>
- </goal>
- </transf>
- </goal>
- <goal
- name="WP_parameter formula_semantic_depend_only_free_var.4"
- locfile="../Firstorder_semantics.mlw"
- loclnum="401" loccnumb="12" loccnume="49"
- expl="4. postcondition"
- sum="4ab988a07233a88f300689387d7a0e42"
- proved="true"
- expanded="false"
- shape="postconditionCaformula_semanticV9V14V18qaformula_semanticV9V15V17Iainfix =ainfix @!V17V19ainfix @!V18V19Iais_fo_term_free_var_in_fo_formulaV19V9FFIaformula_semanticV9V14V21qaformula_semanticV16V15aocaseV21V22FAaformula_semanticV9V15V20qaformula_semanticV16V15aocaseV20V23FAaformula_semanticV16V14aocaseV21V24qaformula_semanticV16V15aocaseV20V24FIainfix =ainfix @!V20V25ainfix @!V21V25Iais_fo_term_free_var_in_fo_formulaV25V9FFIaformula_semanticV16V14V27qaformula_semanticV16V15V26Iainfix =ainfix @!V26V28ainfix @!V27V28Iais_fo_term_free_var_in_fo_formulaV28V16FFIainfix =aevalV11V29aevalV13V29Aainfix =aevalV10V29aevalV12V29Iais_symbol_free_var_in_fo_formulaV29V16FaForallVtaExistsVtaAndVVtaOrVVtaNotVtaFTruetaFFalsetaPAppaVar_symbolVVV9Iainfix =aevalV11V38aevalV13V38Aainfix =aevalV10V38aevalV12V38Iais_symbol_free_var_in_fo_formulaV38V9FLamk modelV10V11Lamk modelV12V13FIainfix =ainfix @!V5V39ainfix @!V6V39Iais_fo_term_free_var_in_fo_formulaV39V0FAainfix =aevalV2V40aevalV4V40Aainfix =aevalV1V40aevalV3V40Iais_symbol_free_var_in_fo_formulaV40V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.24"/>
- </proof>
- <proof
- prover="1"
- timelimit="5"
- memlimit="1000"
- obsolete="true"
- archived="false">
- <result status="timeout" time="4.64"/>
- </proof>
- <proof
- prover="2"
- timelimit="5"
- memlimit="1000"
- obsolete="true"
- archived="false">
- <result status="timeout" time="5.12"/>
- </proof>
- <proof
- prover="3"
- timelimit="5"
- memlimit="1000"
- obsolete="true"
- archived="false">
- <result status="timeout" time="5.55"/>
- </proof>
- <proof
- prover="4"
- timelimit="5"
- memlimit="1000"
- obsolete="true"
- archived="false">
- <result status="timeout" time="4.96"/>
- </proof>
- <proof
- prover="5"
- timelimit="5"
- memlimit="1000"
- obsolete="true"
- archived="false">
- <result status="timeout" time="3.39"/>
- </proof>
- <proof
- prover="6"
- timelimit="5"
- memlimit="1000"
- obsolete="true"
- archived="false">
- <result status="unknown" time="9.31"/>
- </proof>
- <proof
- prover="7"
- timelimit="5"
- memlimit="1000"
- obsolete="true"
- archived="false">
- <result status="highfailure" time="0.04"/>
- </proof>
- <proof
- prover="8"
- timelimit="5"
- memlimit="1000"
- obsolete="true"
- archived="false">
- <result status="timeout" time="5.29"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_depend_only_free_var.5"
- locfile="../Firstorder_semantics.mlw"
- loclnum="401" loccnumb="12" loccnume="49"
- expl="5. variant decrease"
- sum="29a3e056ef9f48afa963cb9701f83f1c"
- proved="true"
- expanded="false"
- shape="variant decreaseCtaForallVainfix <asize_fo_formulaV17asize_fo_formulaV9Aainfix <=c0asize_fo_formulaV9aExistsVtaAndVVtaOrVVtaNotVtaFTruetaFFalsetaPAppaVar_symbolVVV9Iainfix =aevalV11V25aevalV13V25Aainfix =aevalV10V25aevalV12V25Iais_symbol_free_var_in_fo_formulaV25V9FLamk modelV10V11Lamk modelV12V13FIainfix =ainfix @!V5V26ainfix @!V6V26Iais_fo_term_free_var_in_fo_formulaV26V0FAainfix =aevalV2V27aevalV4V27Aainfix =aevalV1V27aevalV3V27Iais_symbol_free_var_in_fo_formulaV27V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.09"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_depend_only_free_var.6"
- locfile="../Firstorder_semantics.mlw"
- loclnum="401" loccnumb="12" loccnume="49"
- expl="6. precondition"
- sum="275cbed7032ef1a40c7e067e9c0c2dca"
- proved="true"
- expanded="false"
- shape="preconditionCtaForallVainfix =aevalV11V18aevalV13V18Aainfix =aevalV10V18aevalV12V18Iais_symbol_free_var_in_fo_formulaV18V17FaExistsVtaAndVVtaOrVVtaNotVtaFTruetaFFalsetaPAppaVar_symbolVVV9Iainfix =aevalV11V26aevalV13V26Aainfix =aevalV10V26aevalV12V26Iais_symbol_free_var_in_fo_formulaV26V9FLamk modelV10V11Lamk modelV12V13FIainfix =ainfix @!V5V27ainfix @!V6V27Iais_fo_term_free_var_in_fo_formulaV27V0FAainfix =aevalV2V28aevalV4V28Aainfix =aevalV1V28aevalV3V28Iais_symbol_free_var_in_fo_formulaV28V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.10"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_depend_only_free_var.7"
- locfile="../Firstorder_semantics.mlw"
- loclnum="401" loccnumb="12" loccnume="49"
- expl="7. assertion"
- sum="0612609bd62570ce8b90cab1d7f205dd"
- proved="true"
- expanded="false"
- shape="assertionCtaForallVaformula_semanticV9V14V19qaformula_semanticV17V15aocaseV19V20EAaformula_semanticV9V15V18qaformula_semanticV17V15aocaseV18V21EAaformula_semanticV17V14aocaseV19V22qaformula_semanticV17V15aocaseV18V22FIainfix =ainfix @!V18V23ainfix @!V19V23Iais_fo_term_free_var_in_fo_formulaV23V9FFIaformula_semanticV17V14V25qaformula_semanticV17V15V24Iainfix =ainfix @!V24V26ainfix @!V25V26Iais_fo_term_free_var_in_fo_formulaV26V17FFIainfix =aevalV11V27aevalV13V27Aainfix =aevalV10V27aevalV12V27Iais_symbol_free_var_in_fo_formulaV27V17FaExistsVtaAndVVtaOrVVtaNotVtaFTruetaFFalsetaPAppaVar_symbolVVV9Iainfix =aevalV11V35aevalV13V35Aainfix =aevalV10V35aevalV12V35Iais_symbol_free_var_in_fo_formulaV35V9FLamk modelV10V11Lamk modelV12V13FIainfix =ainfix @!V5V36ainfix @!V6V36Iais_fo_term_free_var_in_fo_formulaV36V0FAainfix =aevalV2V37aevalV4V37Aainfix =aevalV1V37aevalV3V37Iais_symbol_free_var_in_fo_formulaV37V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_depend_only_free_var"/>
- <transf
- name="split_goal_wp"
- proved="true"
- expanded="false">
- <goal
- name="WP_parameter formula_semantic_depend_only_free_var.7.1"
- locfile="../Firstorder_semantics.mlw"
- loclnum="401" loccnumb="12" loccnume="49"
- expl="1. assertion"
- sum="6ebcca565d1546954322319320a84fd6"
- proved="true"
- expanded="false"
- shape="assertionCtaForallVaformula_semanticV17V14aocaseV19V20Iaformula_semanticV17V15aocaseV18V20FIainfix =ainfix @!V18V21ainfix @!V19V21Iais_fo_term_free_var_in_fo_formulaV21V9FFIaformula_semanticV17V14V23qaformula_semanticV17V15V22Iainfix =ainfix @!V22V24ainfix @!V23V24Iais_fo_term_free_var_in_fo_formulaV24V17FFIainfix =aevalV11V25aevalV13V25Aainfix =aevalV10V25aevalV12V25Iais_symbol_free_var_in_fo_formulaV25V17FaExistsVtaAndVVtaOrVVtaNotVtaFTruetaFFalsetaPAppaVar_symbolVVV9Iainfix =aevalV11V33aevalV13V33Aainfix =aevalV10V33aevalV12V33Iais_symbol_free_var_in_fo_formulaV33V9FLamk modelV10V11Lamk modelV12V13FIainfix =ainfix @!V5V34ainfix @!V6V34Iais_fo_term_free_var_in_fo_formulaV34V0FAainfix =aevalV2V35aevalV4V35Aainfix =aevalV1V35aevalV3V35Iais_symbol_free_var_in_fo_formulaV35V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.11"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_depend_only_free_var.7.2"
- locfile="../Firstorder_semantics.mlw"
- loclnum="401" loccnumb="12" loccnume="49"
- expl="2. assertion"
- sum="bfb66ddc55b613516c23c238cc712f9a"
- proved="true"
- expanded="false"
- shape="assertionCtaForallVaformula_semanticV17V15aocaseV18V20Iaformula_semanticV17V14aocaseV19V20FIainfix =ainfix @!V18V21ainfix @!V19V21Iais_fo_term_free_var_in_fo_formulaV21V9FFIaformula_semanticV17V14V23qaformula_semanticV17V15V22Iainfix =ainfix @!V22V24ainfix @!V23V24Iais_fo_term_free_var_in_fo_formulaV24V17FFIainfix =aevalV11V25aevalV13V25Aainfix =aevalV10V25aevalV12V25Iais_symbol_free_var_in_fo_formulaV25V17FaExistsVtaAndVVtaOrVVtaNotVtaFTruetaFFalsetaPAppaVar_symbolVVV9Iainfix =aevalV11V33aevalV13V33Aainfix =aevalV10V33aevalV12V33Iais_symbol_free_var_in_fo_formulaV33V9FLamk modelV10V11Lamk modelV12V13FIainfix =ainfix @!V5V34ainfix @!V6V34Iais_fo_term_free_var_in_fo_formulaV34V0FAainfix =aevalV2V35aevalV4V35Aainfix =aevalV1V35aevalV3V35Iais_symbol_free_var_in_fo_formulaV35V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.19"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_depend_only_free_var.7.3"
- locfile="../Firstorder_semantics.mlw"
- loclnum="401" loccnumb="12" loccnume="49"
- expl="3. assertion"
- sum="a64e468266725a34d85364f9b793bb0f"
- proved="true"
- expanded="false"
- shape="assertionCtaForallVaformula_semanticV9V15V18Iaformula_semanticV17V15aocaseV18V20EIaformula_semanticV17V14aocaseV19V21qaformula_semanticV17V15aocaseV18V21FIainfix =ainfix @!V18V22ainfix @!V19V22Iais_fo_term_free_var_in_fo_formulaV22V9FFIaformula_semanticV17V14V24qaformula_semanticV17V15V23Iainfix =ainfix @!V23V25ainfix @!V24V25Iais_fo_term_free_var_in_fo_formulaV25V17FFIainfix =aevalV11V26aevalV13V26Aainfix =aevalV10V26aevalV12V26Iais_symbol_free_var_in_fo_formulaV26V17FaExistsVtaAndVVtaOrVVtaNotVtaFTruetaFFalsetaPAppaVar_symbolVVV9Iainfix =aevalV11V34aevalV13V34Aainfix =aevalV10V34aevalV12V34Iais_symbol_free_var_in_fo_formulaV34V9FLamk modelV10V11Lamk modelV12V13FIainfix =ainfix @!V5V35ainfix @!V6V35Iais_fo_term_free_var_in_fo_formulaV35V0FAainfix =aevalV2V36aevalV4V36Aainfix =aevalV1V36aevalV3V36Iais_symbol_free_var_in_fo_formulaV36V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.10"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_depend_only_free_var.7.4"
- locfile="../Firstorder_semantics.mlw"
- loclnum="401" loccnumb="12" loccnume="49"
- expl="4. assertion"
- sum="0865967dd42bcfa8cc4f48fbd39df651"
- proved="true"
- expanded="false"
- shape="assertionCtaForallVaformula_semanticV17V15aocaseV18V20EIaformula_semanticV9V15V18Iaformula_semanticV17V14aocaseV19V21qaformula_semanticV17V15aocaseV18V21FIainfix =ainfix @!V18V22ainfix @!V19V22Iais_fo_term_free_var_in_fo_formulaV22V9FFIaformula_semanticV17V14V24qaformula_semanticV17V15V23Iainfix =ainfix @!V23V25ainfix @!V24V25Iais_fo_term_free_var_in_fo_formulaV25V17FFIainfix =aevalV11V26aevalV13V26Aainfix =aevalV10V26aevalV12V26Iais_symbol_free_var_in_fo_formulaV26V17FaExistsVtaAndVVtaOrVVtaNotVtaFTruetaFFalsetaPAppaVar_symbolVVV9Iainfix =aevalV11V34aevalV13V34Aainfix =aevalV10V34aevalV12V34Iais_symbol_free_var_in_fo_formulaV34V9FLamk modelV10V11Lamk modelV12V13FIainfix =ainfix @!V5V35ainfix @!V6V35Iais_fo_term_free_var_in_fo_formulaV35V0FAainfix =aevalV2V36aevalV4V36Aainfix =aevalV1V36aevalV3V36Iais_symbol_free_var_in_fo_formulaV36V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.17"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_depend_only_free_var.7.5"
- locfile="../Firstorder_semantics.mlw"
- loclnum="401" loccnumb="12" loccnume="49"
- expl="5. assertion"
- sum="e542039556edc572598e92b309011904"
- proved="true"
- expanded="false"
- shape="assertionCtaForallVaformula_semanticV9V14V19Iaformula_semanticV17V15aocaseV19V20EIaformula_semanticV9V15V18qaformula_semanticV17V15aocaseV18V21EIaformula_semanticV17V14aocaseV19V22qaformula_semanticV17V15aocaseV18V22FIainfix =ainfix @!V18V23ainfix @!V19V23Iais_fo_term_free_var_in_fo_formulaV23V9FFIaformula_semanticV17V14V25qaformula_semanticV17V15V24Iainfix =ainfix @!V24V26ainfix @!V25V26Iais_fo_term_free_var_in_fo_formulaV26V17FFIainfix =aevalV11V27aevalV13V27Aainfix =aevalV10V27aevalV12V27Iais_symbol_free_var_in_fo_formulaV27V17FaExistsVtaAndVVtaOrVVtaNotVtaFTruetaFFalsetaPAppaVar_symbolVVV9Iainfix =aevalV11V35aevalV13V35Aainfix =aevalV10V35aevalV12V35Iais_symbol_free_var_in_fo_formulaV35V9FLamk modelV10V11Lamk modelV12V13FIainfix =ainfix @!V5V36ainfix @!V6V36Iais_fo_term_free_var_in_fo_formulaV36V0FAainfix =aevalV2V37aevalV4V37Aainfix =aevalV1V37aevalV3V37Iais_symbol_free_var_in_fo_formulaV37V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.12"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_depend_only_free_var.7.6"
- locfile="../Firstorder_semantics.mlw"
- loclnum="401" loccnumb="12" loccnume="49"
- expl="6. assertion"
- sum="50f4eb96a74f40d9e82fe552c91e51d2"
- proved="true"
- expanded="false"
- shape="assertionCtaForallVaformula_semanticV17V15aocaseV19V20EIaformula_semanticV9V14V19Iaformula_semanticV9V15V18qaformula_semanticV17V15aocaseV18V21EIaformula_semanticV17V14aocaseV19V22qaformula_semanticV17V15aocaseV18V22FIainfix =ainfix @!V18V23ainfix @!V19V23Iais_fo_term_free_var_in_fo_formulaV23V9FFIaformula_semanticV17V14V25qaformula_semanticV17V15V24Iainfix =ainfix @!V24V26ainfix @!V25V26Iais_fo_term_free_var_in_fo_formulaV26V17FFIainfix =aevalV11V27aevalV13V27Aainfix =aevalV10V27aevalV12V27Iais_symbol_free_var_in_fo_formulaV27V17FaExistsVtaAndVVtaOrVVtaNotVtaFTruetaFFalsetaPAppaVar_symbolVVV9Iainfix =aevalV11V35aevalV13V35Aainfix =aevalV10V35aevalV12V35Iais_symbol_free_var_in_fo_formulaV35V9FLamk modelV10V11Lamk modelV12V13FIainfix =ainfix @!V5V36ainfix @!V6V36Iais_fo_term_free_var_in_fo_formulaV36V0FAainfix =aevalV2V37aevalV4V37Aainfix =aevalV1V37aevalV3V37Iais_symbol_free_var_in_fo_formulaV37V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.24"/>
- </proof>
- </goal>
- </transf>
- </goal>
- <goal
- name="WP_parameter formula_semantic_depend_only_free_var.8"
- locfile="../Firstorder_semantics.mlw"
- loclnum="401" loccnumb="12" loccnume="49"
- expl="8. postcondition"
- sum="f0d8fe2c2ee703fccc33ec1f8b53bc2a"
- proved="true"
- expanded="false"
- shape="postconditionCtaForallVaformula_semanticV9V14V19qaformula_semanticV9V15V18Iainfix =ainfix @!V18V20ainfix @!V19V20Iais_fo_term_free_var_in_fo_formulaV20V9FFIaformula_semanticV9V14V22qaformula_semanticV17V15aocaseV22V23EAaformula_semanticV9V15V21qaformula_semanticV17V15aocaseV21V24EAaformula_semanticV17V14aocaseV22V25qaformula_semanticV17V15aocaseV21V25FIainfix =ainfix @!V21V26ainfix @!V22V26Iais_fo_term_free_var_in_fo_formulaV26V9FFIaformula_semanticV17V14V28qaformula_semanticV17V15V27Iainfix =ainfix @!V27V29ainfix @!V28V29Iais_fo_term_free_var_in_fo_formulaV29V17FFIainfix =aevalV11V30aevalV13V30Aainfix =aevalV10V30aevalV12V30Iais_symbol_free_var_in_fo_formulaV30V17FaExistsVtaAndVVtaOrVVtaNotVtaFTruetaFFalsetaPAppaVar_symbolVVV9Iainfix =aevalV11V38aevalV13V38Aainfix =aevalV10V38aevalV12V38Iais_symbol_free_var_in_fo_formulaV38V9FLamk modelV10V11Lamk modelV12V13FIainfix =ainfix @!V5V39ainfix @!V6V39Iais_fo_term_free_var_in_fo_formulaV39V0FAainfix =aevalV2V40aevalV4V40Aainfix =aevalV1V40aevalV3V40Iais_symbol_free_var_in_fo_formulaV40V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.21"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_depend_only_free_var.9"
- locfile="../Firstorder_semantics.mlw"
- loclnum="401" loccnumb="12" loccnume="49"
- expl="9. variant decrease"
- sum="de28b89e808fa004dce6ccf1eae88281"
- proved="true"
- expanded="false"
- shape="variant decreaseCtaForallVtaExistsVainfix <asize_fo_formulaV18asize_fo_formulaV9Aainfix <=c0asize_fo_formulaV9aAndVVtaOrVVtaNotVtaFTruetaFFalsetaPAppaVar_symbolVVV9Iainfix =aevalV11V25aevalV13V25Aainfix =aevalV10V25aevalV12V25Iais_symbol_free_var_in_fo_formulaV25V9FLamk modelV10V11Lamk modelV12V13FIainfix =ainfix @!V5V26ainfix @!V6V26Iais_fo_term_free_var_in_fo_formulaV26V0FAainfix =aevalV2V27aevalV4V27Aainfix =aevalV1V27aevalV3V27Iais_symbol_free_var_in_fo_formulaV27V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.10"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_depend_only_free_var.10"
- locfile="../Firstorder_semantics.mlw"
- loclnum="401" loccnumb="12" loccnume="49"
- expl="10. precondition"
- sum="df09eefcc181eb028a679084c751a430"
- proved="true"
- expanded="false"
- shape="preconditionCtaForallVtaExistsVainfix =aevalV11V20aevalV13V20Aainfix =aevalV10V20aevalV12V20Iais_symbol_free_var_in_fo_formulaV20V18FaAndVVtaOrVVtaNotVtaFTruetaFFalsetaPAppaVar_symbolVVV9Iainfix =aevalV11V26aevalV13V26Aainfix =aevalV10V26aevalV12V26Iais_symbol_free_var_in_fo_formulaV26V9FLamk modelV10V11Lamk modelV12V13FIainfix =ainfix @!V5V27ainfix @!V6V27Iais_fo_term_free_var_in_fo_formulaV27V0FAainfix =aevalV2V28aevalV4V28Aainfix =aevalV1V28aevalV3V28Iais_symbol_free_var_in_fo_formulaV28V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.09"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_depend_only_free_var.11"
- locfile="../Firstorder_semantics.mlw"
- loclnum="401" loccnumb="12" loccnume="49"
- expl="11. variant decrease"
- sum="b3a6131d89642e0fcb6169f05a5528c1"
- proved="true"
- expanded="false"
- shape="variant decreaseCtaForallVtaExistsVainfix <asize_fo_formulaV19asize_fo_formulaV9Aainfix <=c0asize_fo_formulaV9Iaformula_semanticV18V14V21qaformula_semanticV18V15V20Iainfix =ainfix @!V20V22ainfix @!V21V22Iais_fo_term_free_var_in_fo_formulaV22V18FFIainfix =aevalV11V23aevalV13V23Aainfix =aevalV10V23aevalV12V23Iais_symbol_free_var_in_fo_formulaV23V18FaAndVVtaOrVVtaNotVtaFTruetaFFalsetaPAppaVar_symbolVVV9Iainfix =aevalV11V29aevalV13V29Aainfix =aevalV10V29aevalV12V29Iais_symbol_free_var_in_fo_formulaV29V9FLamk modelV10V11Lamk modelV12V13FIainfix =ainfix @!V5V30ainfix @!V6V30Iais_fo_term_free_var_in_fo_formulaV30V0FAainfix =aevalV2V31aevalV4V31Aainfix =aevalV1V31aevalV3V31Iais_symbol_free_var_in_fo_formulaV31V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.10"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_depend_only_free_var.12"
- locfile="../Firstorder_semantics.mlw"
- loclnum="401" loccnumb="12" loccnume="49"
- expl="12. precondition"
- sum="dab4003a591c5d552f433e7bd50227c3"
- proved="true"
- expanded="false"
- shape="preconditionCtaForallVtaExistsVainfix =aevalV11V20aevalV13V20Aainfix =aevalV10V20aevalV12V20Iais_symbol_free_var_in_fo_formulaV20V19FIaformula_semanticV18V14V22qaformula_semanticV18V15V21Iainfix =ainfix @!V21V23ainfix @!V22V23Iais_fo_term_free_var_in_fo_formulaV23V18FFIainfix =aevalV11V24aevalV13V24Aainfix =aevalV10V24aevalV12V24Iais_symbol_free_var_in_fo_formulaV24V18FaAndVVtaOrVVtaNotVtaFTruetaFFalsetaPAppaVar_symbolVVV9Iainfix =aevalV11V30aevalV13V30Aainfix =aevalV10V30aevalV12V30Iais_symbol_free_var_in_fo_formulaV30V9FLamk modelV10V11Lamk modelV12V13FIainfix =ainfix @!V5V31ainfix @!V6V31Iais_fo_term_free_var_in_fo_formulaV31V0FAainfix =aevalV2V32aevalV4V32Aainfix =aevalV1V32aevalV3V32Iais_symbol_free_var_in_fo_formulaV32V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.09"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_depend_only_free_var.13"
- locfile="../Firstorder_semantics.mlw"
- loclnum="401" loccnumb="12" loccnume="49"
- expl="13. postcondition"
- sum="e49f020b9dd1b586ac364273be22f824"
- proved="true"
- expanded="false"
- shape="postconditionCtaForallVtaExistsVaformula_semanticV9V14V21qaformula_semanticV9V15V20Iainfix =ainfix @!V20V22ainfix @!V21V22Iais_fo_term_free_var_in_fo_formulaV22V9FFIaformula_semanticV19V14V24qaformula_semanticV19V15V23Iainfix =ainfix @!V23V25ainfix @!V24V25Iais_fo_term_free_var_in_fo_formulaV25V19FFIainfix =aevalV11V26aevalV13V26Aainfix =aevalV10V26aevalV12V26Iais_symbol_free_var_in_fo_formulaV26V19FIaformula_semanticV18V14V28qaformula_semanticV18V15V27Iainfix =ainfix @!V27V29ainfix @!V28V29Iais_fo_term_free_var_in_fo_formulaV29V18FFIainfix =aevalV11V30aevalV13V30Aainfix =aevalV10V30aevalV12V30Iais_symbol_free_var_in_fo_formulaV30V18FaAndVVtaOrVVtaNotVtaFTruetaFFalsetaPAppaVar_symbolVVV9Iainfix =aevalV11V36aevalV13V36Aainfix =aevalV10V36aevalV12V36Iais_symbol_free_var_in_fo_formulaV36V9FLamk modelV10V11Lamk modelV12V13FIainfix =ainfix @!V5V37ainfix @!V6V37Iais_fo_term_free_var_in_fo_formulaV37V0FAainfix =aevalV2V38aevalV4V38Aainfix =aevalV1V38aevalV3V38Iais_symbol_free_var_in_fo_formulaV38V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.41"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_depend_only_free_var.14"
- locfile="../Firstorder_semantics.mlw"
- loclnum="401" loccnumb="12" loccnume="49"
- expl="14. variant decrease"
- sum="51faf55ed941fdb3edd823404cf5dcfd"
- proved="true"
- expanded="false"
- shape="variant decreaseCtaForallVtaExistsVtaAndVVainfix <asize_fo_formulaV20asize_fo_formulaV9Aainfix <=c0asize_fo_formulaV9aOrVVtaNotVtaFTruetaFFalsetaPAppaVar_symbolVVV9Iainfix =aevalV11V25aevalV13V25Aainfix =aevalV10V25aevalV12V25Iais_symbol_free_var_in_fo_formulaV25V9FLamk modelV10V11Lamk modelV12V13FIainfix =ainfix @!V5V26ainfix @!V6V26Iais_fo_term_free_var_in_fo_formulaV26V0FAainfix =aevalV2V27aevalV4V27Aainfix =aevalV1V27aevalV3V27Iais_symbol_free_var_in_fo_formulaV27V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.11"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_depend_only_free_var.15"
- locfile="../Firstorder_semantics.mlw"
- loclnum="401" loccnumb="12" loccnume="49"
- expl="15. precondition"
- sum="23aaf5b04c8430f50a300f5f83736181"
- proved="true"
- expanded="false"
- shape="preconditionCtaForallVtaExistsVtaAndVVainfix =aevalV11V22aevalV13V22Aainfix =aevalV10V22aevalV12V22Iais_symbol_free_var_in_fo_formulaV22V20FaOrVVtaNotVtaFTruetaFFalsetaPAppaVar_symbolVVV9Iainfix =aevalV11V26aevalV13V26Aainfix =aevalV10V26aevalV12V26Iais_symbol_free_var_in_fo_formulaV26V9FLamk modelV10V11Lamk modelV12V13FIainfix =ainfix @!V5V27ainfix @!V6V27Iais_fo_term_free_var_in_fo_formulaV27V0FAainfix =aevalV2V28aevalV4V28Aainfix =aevalV1V28aevalV3V28Iais_symbol_free_var_in_fo_formulaV28V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.10"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_depend_only_free_var.16"
- locfile="../Firstorder_semantics.mlw"
- loclnum="401" loccnumb="12" loccnume="49"
- expl="16. variant decrease"
- sum="3b3070d292a8d936e5d8161e70bfadd8"
- proved="true"
- expanded="false"
- shape="variant decreaseCtaForallVtaExistsVtaAndVVainfix <asize_fo_formulaV21asize_fo_formulaV9Aainfix <=c0asize_fo_formulaV9Iaformula_semanticV20V14V23qaformula_semanticV20V15V22Iainfix =ainfix @!V22V24ainfix @!V23V24Iais_fo_term_free_var_in_fo_formulaV24V20FFIainfix =aevalV11V25aevalV13V25Aainfix =aevalV10V25aevalV12V25Iais_symbol_free_var_in_fo_formulaV25V20FaOrVVtaNotVtaFTruetaFFalsetaPAppaVar_symbolVVV9Iainfix =aevalV11V29aevalV13V29Aainfix =aevalV10V29aevalV12V29Iais_symbol_free_var_in_fo_formulaV29V9FLamk modelV10V11Lamk modelV12V13FIainfix =ainfix @!V5V30ainfix @!V6V30Iais_fo_term_free_var_in_fo_formulaV30V0FAainfix =aevalV2V31aevalV4V31Aainfix =aevalV1V31aevalV3V31Iais_symbol_free_var_in_fo_formulaV31V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.11"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_depend_only_free_var.17"
- locfile="../Firstorder_semantics.mlw"
- loclnum="401" loccnumb="12" loccnume="49"
- expl="17. precondition"
- sum="1d0ca2bdcdbc7c257b66bf91175e1ea6"
- proved="true"
- expanded="false"
- shape="preconditionCtaForallVtaExistsVtaAndVVainfix =aevalV11V22aevalV13V22Aainfix =aevalV10V22aevalV12V22Iais_symbol_free_var_in_fo_formulaV22V21FIaformula_semanticV20V14V24qaformula_semanticV20V15V23Iainfix =ainfix @!V23V25ainfix @!V24V25Iais_fo_term_free_var_in_fo_formulaV25V20FFIainfix =aevalV11V26aevalV13V26Aainfix =aevalV10V26aevalV12V26Iais_symbol_free_var_in_fo_formulaV26V20FaOrVVtaNotVtaFTruetaFFalsetaPAppaVar_symbolVVV9Iainfix =aevalV11V30aevalV13V30Aainfix =aevalV10V30aevalV12V30Iais_symbol_free_var_in_fo_formulaV30V9FLamk modelV10V11Lamk modelV12V13FIainfix =ainfix @!V5V31ainfix @!V6V31Iais_fo_term_free_var_in_fo_formulaV31V0FAainfix =aevalV2V32aevalV4V32Aainfix =aevalV1V32aevalV3V32Iais_symbol_free_var_in_fo_formulaV32V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.11"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_depend_only_free_var.18"
- locfile="../Firstorder_semantics.mlw"
- loclnum="401" loccnumb="12" loccnume="49"
- expl="18. postcondition"
- sum="c38a723fe849b3aa3823a0fbc92a0b1e"
- proved="true"
- expanded="false"
- shape="postconditionCtaForallVtaExistsVtaAndVVaformula_semanticV9V14V23qaformula_semanticV9V15V22Iainfix =ainfix @!V22V24ainfix @!V23V24Iais_fo_term_free_var_in_fo_formulaV24V9FFIaformula_semanticV21V14V26qaformula_semanticV21V15V25Iainfix =ainfix @!V25V27ainfix @!V26V27Iais_fo_term_free_var_in_fo_formulaV27V21FFIainfix =aevalV11V28aevalV13V28Aainfix =aevalV10V28aevalV12V28Iais_symbol_free_var_in_fo_formulaV28V21FIaformula_semanticV20V14V30qaformula_semanticV20V15V29Iainfix =ainfix @!V29V31ainfix @!V30V31Iais_fo_term_free_var_in_fo_formulaV31V20FFIainfix =aevalV11V32aevalV13V32Aainfix =aevalV10V32aevalV12V32Iais_symbol_free_var_in_fo_formulaV32V20FaOrVVtaNotVtaFTruetaFFalsetaPAppaVar_symbolVVV9Iainfix =aevalV11V36aevalV13V36Aainfix =aevalV10V36aevalV12V36Iais_symbol_free_var_in_fo_formulaV36V9FLamk modelV10V11Lamk modelV12V13FIainfix =ainfix @!V5V37ainfix @!V6V37Iais_fo_term_free_var_in_fo_formulaV37V0FAainfix =aevalV2V38aevalV4V38Aainfix =aevalV1V38aevalV3V38Iais_symbol_free_var_in_fo_formulaV38V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.45"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_depend_only_free_var.19"
- locfile="../Firstorder_semantics.mlw"
- loclnum="401" loccnumb="12" loccnume="49"
- expl="19. variant decrease"
- sum="0cc385ff2c57668ecf3209aad325379b"
- proved="true"
- expanded="false"
- shape="variant decreaseCtaForallVtaExistsVtaAndVVtaOrVVainfix <asize_fo_formulaV22asize_fo_formulaV9Aainfix <=c0asize_fo_formulaV9aNotVtaFTruetaFFalsetaPAppaVar_symbolVVV9Iainfix =aevalV11V25aevalV13V25Aainfix =aevalV10V25aevalV12V25Iais_symbol_free_var_in_fo_formulaV25V9FLamk modelV10V11Lamk modelV12V13FIainfix =ainfix @!V5V26ainfix @!V6V26Iais_fo_term_free_var_in_fo_formulaV26V0FAainfix =aevalV2V27aevalV4V27Aainfix =aevalV1V27aevalV3V27Iais_symbol_free_var_in_fo_formulaV27V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.08"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_depend_only_free_var.20"
- locfile="../Firstorder_semantics.mlw"
- loclnum="401" loccnumb="12" loccnume="49"
- expl="20. precondition"
- sum="509ba2b957dd9cccd833634025ab8759"
- proved="true"
- expanded="false"
- shape="preconditionCtaForallVtaExistsVtaAndVVtaOrVVainfix =aevalV11V23aevalV13V23Aainfix =aevalV10V23aevalV12V23Iais_symbol_free_var_in_fo_formulaV23V22FaNotVtaFTruetaFFalsetaPAppaVar_symbolVVV9Iainfix =aevalV11V26aevalV13V26Aainfix =aevalV10V26aevalV12V26Iais_symbol_free_var_in_fo_formulaV26V9FLamk modelV10V11Lamk modelV12V13FIainfix =ainfix @!V5V27ainfix @!V6V27Iais_fo_term_free_var_in_fo_formulaV27V0FAainfix =aevalV2V28aevalV4V28Aainfix =aevalV1V28aevalV3V28Iais_symbol_free_var_in_fo_formulaV28V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.10"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_depend_only_free_var.21"
- locfile="../Firstorder_semantics.mlw"
- loclnum="401" loccnumb="12" loccnume="49"
- expl="21. postcondition"
- sum="cd3ff8b0f6df1d97fd8f6e2aa0098cc3"
- proved="true"
- expanded="false"
- shape="postconditionCtaForallVtaExistsVtaAndVVtaOrVVaformula_semanticV9V14V24qaformula_semanticV9V15V23Iainfix =ainfix @!V23V25ainfix @!V24V25Iais_fo_term_free_var_in_fo_formulaV25V9FFIaformula_semanticV22V14V27qaformula_semanticV22V15V26Iainfix =ainfix @!V26V28ainfix @!V27V28Iais_fo_term_free_var_in_fo_formulaV28V22FFIainfix =aevalV11V29aevalV13V29Aainfix =aevalV10V29aevalV12V29Iais_symbol_free_var_in_fo_formulaV29V22FaNotVtaFTruetaFFalsetaPAppaVar_symbolVVV9Iainfix =aevalV11V32aevalV13V32Aainfix =aevalV10V32aevalV12V32Iais_symbol_free_var_in_fo_formulaV32V9FLamk modelV10V11Lamk modelV12V13FIainfix =ainfix @!V5V33ainfix @!V6V33Iais_fo_term_free_var_in_fo_formulaV33V0FAainfix =aevalV2V34aevalV4V34Aainfix =aevalV1V34aevalV3V34Iais_symbol_free_var_in_fo_formulaV34V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.16"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_depend_only_free_var.22"
- locfile="../Firstorder_semantics.mlw"
- loclnum="401" loccnumb="12" loccnume="49"
- expl="22. postcondition"
- sum="7c92fc8030115ddb775cf99ac17c0354"
- proved="true"
- expanded="false"
- shape="postconditionCtaForallVtaExistsVtaAndVVtaOrVVtaNotVaformula_semanticV9V14V24qaformula_semanticV9V15V23Iainfix =ainfix @!V23V25ainfix @!V24V25Iais_fo_term_free_var_in_fo_formulaV25V9FFaFTruetaFFalsetaPAppaVar_symbolVVV9Iainfix =aevalV11V28aevalV13V28Aainfix =aevalV10V28aevalV12V28Iais_symbol_free_var_in_fo_formulaV28V9FLamk modelV10V11Lamk modelV12V13FIainfix =ainfix @!V5V29ainfix @!V6V29Iais_fo_term_free_var_in_fo_formulaV29V0FAainfix =aevalV2V30aevalV4V30Aainfix =aevalV1V30aevalV3V30Iais_symbol_free_var_in_fo_formulaV30V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.10"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_depend_only_free_var.23"
- locfile="../Firstorder_semantics.mlw"
- loclnum="401" loccnumb="12" loccnume="49"
- expl="23. postcondition"
- sum="9f8c387fe44262b33cf4f7cf022a07aa"
- proved="true"
- expanded="false"
- shape="postconditionCtaForallVtaExistsVtaAndVVtaOrVVtaNotVtaFTrueaformula_semanticV9V14V24qaformula_semanticV9V15V23Iainfix =ainfix @!V23V25ainfix @!V24V25Iais_fo_term_free_var_in_fo_formulaV25V9FFaFFalsetaPAppaVar_symbolVVV9Iainfix =aevalV11V28aevalV13V28Aainfix =aevalV10V28aevalV12V28Iais_symbol_free_var_in_fo_formulaV28V9FLamk modelV10V11Lamk modelV12V13FIainfix =ainfix @!V5V29ainfix @!V6V29Iais_fo_term_free_var_in_fo_formulaV29V0FAainfix =aevalV2V30aevalV4V30Aainfix =aevalV1V30aevalV3V30Iais_symbol_free_var_in_fo_formulaV30V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.10"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_depend_only_free_var.24"
- locfile="../Firstorder_semantics.mlw"
- loclnum="401" loccnumb="12" loccnume="49"
- expl="24. assertion"
- sum="aed9f739d12b18ae580bd66069644b3d"
- proved="true"
- expanded="false"
- shape="assertionCtaForallVtaExistsVtaAndVVtaOrVVtaNotVtaFTruetaFFalseais_symbol_free_var_in_fo_formulaV23V9aPAppaVar_symbolVVV9Iainfix =aevalV11V25aevalV13V25Aainfix =aevalV10V25aevalV12V25Iais_symbol_free_var_in_fo_formulaV25V9FLamk modelV10V11Lamk modelV12V13FIainfix =ainfix @!V5V26ainfix @!V6V26Iais_fo_term_free_var_in_fo_formulaV26V0FAainfix =aevalV2V27aevalV4V27Aainfix =aevalV1V27aevalV3V27Iais_symbol_free_var_in_fo_formulaV27V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.09"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_depend_only_free_var.25"
- locfile="../Firstorder_semantics.mlw"
- loclnum="401" loccnumb="12" loccnume="49"
- expl="25. assertion"
- sum="92a2c5f4ef3b065322c72d4f471e4374"
- proved="true"
- expanded="false"
- shape="assertionCtaForallVtaExistsVtaAndVVtaOrVVtaNotVtaFTruetaFFalseainfix @?aevalV13V23aterm_list_semanticV24V14V26qaformula_semanticV9V14V26Aainfix @?aevalV11V23aterm_list_semanticV24V15V25qaformula_semanticV9V15V25Aainfix =aterm_list_semanticV24V15V25aterm_list_semanticV24V14V26Iainfix =ainfix @!V25V27ainfix @!V26V27Iais_fo_term_free_var_in_fo_formulaV27V9FFIais_symbol_free_var_in_fo_formulaV23V9aPAppaVar_symbolVVV9Iainfix =aevalV11V28aevalV13V28Aainfix =aevalV10V28aevalV12V28Iais_symbol_free_var_in_fo_formulaV28V9FLamk modelV10V11Lamk modelV12V13FIainfix =ainfix @!V5V29ainfix @!V6V29Iais_fo_term_free_var_in_fo_formulaV29V0FAainfix =aevalV2V30aevalV4V30Aainfix =aevalV1V30aevalV3V30Iais_symbol_free_var_in_fo_formulaV30V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_depend_only_free_var"/>
- <transf
- name="split_goal_wp"
- proved="true"
- expanded="false">
- <goal
- name="WP_parameter formula_semantic_depend_only_free_var.25.1"
- locfile="../Firstorder_semantics.mlw"
- loclnum="401" loccnumb="12" loccnume="49"
- expl="1. assertion"
- sum="c8e2219844badc50e5e200c1475f3e8a"
- proved="true"
- expanded="false"
- shape="assertionCtaForallVtaExistsVtaAndVVtaOrVVtaNotVtaFTruetaFFalseainfix =aterm_list_semanticV24V15V25aterm_list_semanticV24V14V26Iainfix =ainfix @!V25V27ainfix @!V26V27Iais_fo_term_free_var_in_fo_formulaV27V9FFIais_symbol_free_var_in_fo_formulaV23V9aPAppaVar_symbolVVV9Iainfix =aevalV11V28aevalV13V28Aainfix =aevalV10V28aevalV12V28Iais_symbol_free_var_in_fo_formulaV28V9FLamk modelV10V11Lamk modelV12V13FIainfix =ainfix @!V5V29ainfix @!V6V29Iais_fo_term_free_var_in_fo_formulaV29V0FAainfix =aevalV2V30aevalV4V30Aainfix =aevalV1V30aevalV3V30Iais_symbol_free_var_in_fo_formulaV30V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="true"
- archived="false">
- <result status="timeout" time="4.27"/>
- </proof>
- <proof
- prover="3"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="5.43"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_depend_only_free_var.25.2"
- locfile="../Firstorder_semantics.mlw"
- loclnum="401" loccnumb="12" loccnume="49"
- expl="2. assertion"
- sum="3996a18d4de1f80e8bc21b1ed533b9e7"
- proved="true"
- expanded="false"
- shape="assertionCtaForallVtaExistsVtaAndVVtaOrVVtaNotVtaFTruetaFFalseainfix @?aevalV11V23aterm_list_semanticV24V15V25Iaformula_semanticV9V15V25FIais_symbol_free_var_in_fo_formulaV23V9aPAppaVar_symbolVVV9Iainfix =aevalV11V27aevalV13V27Aainfix =aevalV10V27aevalV12V27Iais_symbol_free_var_in_fo_formulaV27V9FLamk modelV10V11Lamk modelV12V13FIainfix =ainfix @!V5V28ainfix @!V6V28Iais_fo_term_free_var_in_fo_formulaV28V0FAainfix =aevalV2V29aevalV4V29Aainfix =aevalV1V29aevalV3V29Iais_symbol_free_var_in_fo_formulaV29V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="true"
- archived="false">
- <result status="timeout" time="3.57"/>
- </proof>
- <proof
- prover="3"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="1.14"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_depend_only_free_var.25.3"
- locfile="../Firstorder_semantics.mlw"
- loclnum="401" loccnumb="12" loccnume="49"
- expl="3. assertion"
- sum="9ed217bef00b5d16c1f553b30569def6"
- proved="true"
- expanded="false"
- shape="assertionCtaForallVtaExistsVtaAndVVtaOrVVtaNotVtaFTruetaFFalseaformula_semanticV9V15V25Iainfix @?aevalV11V23aterm_list_semanticV24V15V25FIais_symbol_free_var_in_fo_formulaV23V9aPAppaVar_symbolVVV9Iainfix =aevalV11V27aevalV13V27Aainfix =aevalV10V27aevalV12V27Iais_symbol_free_var_in_fo_formulaV27V9FLamk modelV10V11Lamk modelV12V13FIainfix =ainfix @!V5V28ainfix @!V6V28Iais_fo_term_free_var_in_fo_formulaV28V0FAainfix =aevalV2V29aevalV4V29Aainfix =aevalV1V29aevalV3V29Iais_symbol_free_var_in_fo_formulaV29V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="true"
- archived="false">
- <result status="timeout" time="4.61"/>
- </proof>
- <proof
- prover="3"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="1.18"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_depend_only_free_var.25.4"
- locfile="../Firstorder_semantics.mlw"
- loclnum="401" loccnumb="12" loccnume="49"
- expl="4. assertion"
- sum="544ebd9e40ca010aca7ffb4b291abcc1"
- proved="true"
- expanded="false"
- shape="assertionCtaForallVtaExistsVtaAndVVtaOrVVtaNotVtaFTruetaFFalseainfix @?aevalV13V23aterm_list_semanticV24V14V26Iaformula_semanticV9V14V26FIais_symbol_free_var_in_fo_formulaV23V9aPAppaVar_symbolVVV9Iainfix =aevalV11V27aevalV13V27Aainfix =aevalV10V27aevalV12V27Iais_symbol_free_var_in_fo_formulaV27V9FLamk modelV10V11Lamk modelV12V13FIainfix =ainfix @!V5V28ainfix @!V6V28Iais_fo_term_free_var_in_fo_formulaV28V0FAainfix =aevalV2V29aevalV4V29Aainfix =aevalV1V29aevalV3V29Iais_symbol_free_var_in_fo_formulaV29V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="true"
- archived="false">
- <result status="timeout" time="4.53"/>
- </proof>
- <proof
- prover="3"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="1.20"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_depend_only_free_var.25.5"
- locfile="../Firstorder_semantics.mlw"
- loclnum="401" loccnumb="12" loccnume="49"
- expl="5. assertion"
- sum="da5815d145fe88a4329b2f93057c7f53"
- proved="true"
- expanded="false"
- shape="assertionCtaForallVtaExistsVtaAndVVtaOrVVtaNotVtaFTruetaFFalseaformula_semanticV9V14V26Iainfix @?aevalV13V23aterm_list_semanticV24V14V26FIais_symbol_free_var_in_fo_formulaV23V9aPAppaVar_symbolVVV9Iainfix =aevalV11V27aevalV13V27Aainfix =aevalV10V27aevalV12V27Iais_symbol_free_var_in_fo_formulaV27V9FLamk modelV10V11Lamk modelV12V13FIainfix =ainfix @!V5V28ainfix @!V6V28Iais_fo_term_free_var_in_fo_formulaV28V0FAainfix =aevalV2V29aevalV4V29Aainfix =aevalV1V29aevalV3V29Iais_symbol_free_var_in_fo_formulaV29V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="true"
- archived="false">
- <result status="timeout" time="4.43"/>
- </proof>
- <proof
- prover="3"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="1.17"/>
- </proof>
- </goal>
- </transf>
- </goal>
- <goal
- name="WP_parameter formula_semantic_depend_only_free_var.26"
- locfile="../Firstorder_semantics.mlw"
- loclnum="401" loccnumb="12" loccnume="49"
- expl="26. postcondition"
- sum="0046ecd20918b2fd0588fa9a5d3834dd"
- proved="true"
- expanded="false"
- shape="postconditionCtaForallVtaExistsVtaAndVVtaOrVVtaNotVtaFTruetaFFalseaformula_semanticV9V14V26qaformula_semanticV9V15V25Iainfix =ainfix @!V25V27ainfix @!V26V27Iais_fo_term_free_var_in_fo_formulaV27V9FFIainfix @?aevalV13V23aterm_list_semanticV24V14V29qaformula_semanticV9V14V29Aainfix @?aevalV11V23aterm_list_semanticV24V15V28qaformula_semanticV9V15V28Aainfix =aterm_list_semanticV24V15V28aterm_list_semanticV24V14V29Iainfix =ainfix @!V28V30ainfix @!V29V30Iais_fo_term_free_var_in_fo_formulaV30V9FFIais_symbol_free_var_in_fo_formulaV23V9aPAppaVar_symbolVVV9Iainfix =aevalV11V31aevalV13V31Aainfix =aevalV10V31aevalV12V31Iais_symbol_free_var_in_fo_formulaV31V9FLamk modelV10V11Lamk modelV12V13FIainfix =ainfix @!V5V32ainfix @!V6V32Iais_fo_term_free_var_in_fo_formulaV32V0FAainfix =aevalV2V33aevalV4V33Aainfix =aevalV1V33aevalV3V33Iais_symbol_free_var_in_fo_formulaV33V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.19"/>
- </proof>
- <proof
- prover="1"
- timelimit="5"
- memlimit="1000"
- obsolete="true"
- archived="false">
- <undone/>
- </proof>
- <proof
- prover="2"
- timelimit="5"
- memlimit="1000"
- obsolete="true"
- archived="false">
- <undone/>
- </proof>
- <proof
- prover="3"
- timelimit="5"
- memlimit="1000"
- obsolete="true"
- archived="false">
- <result status="timeout" time="6.42"/>
- </proof>
- <proof
- prover="4"
- timelimit="5"
- memlimit="1000"
- obsolete="true"
- archived="false">
- <result status="timeout" time="4.98"/>
- </proof>
- <proof
- prover="5"
- timelimit="5"
- memlimit="1000"
- obsolete="true"
- archived="false">
- <result status="timeout" time="3.87"/>
- </proof>
- <proof
- prover="6"
- timelimit="5"
- memlimit="1000"
- obsolete="true"
- archived="false">
- <result status="unknown" time="9.27"/>
- </proof>
- <proof
- prover="7"
- timelimit="5"
- memlimit="1000"
- obsolete="true"
- archived="false">
- <result status="highfailure" time="0.03"/>
- </proof>
- <proof
- prover="8"
- timelimit="5"
- memlimit="1000"
- obsolete="true"
- archived="false">
- <result status="timeout" time="5.39"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_depend_only_free_var.27"
- locfile="../Firstorder_semantics.mlw"
- loclnum="401" loccnumb="12" loccnume="49"
- expl="27. precondition"
- sum="d79bfda3d76099e99f814010fda64b59"
- proved="true"
- expanded="false"
- shape="preconditionainfix =aevalV2V9aevalV4V9Aainfix =aevalV1V9aevalV3V9Iais_symbol_free_var_in_fo_formulaV9V0FIainfix =ainfix @!V5V10ainfix @!V6V10Iais_fo_term_free_var_in_fo_formulaV10V0FAainfix =aevalV2V11aevalV4V11Aainfix =aevalV1V11aevalV3V11Iais_symbol_free_var_in_fo_formulaV11V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.10"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_semantic_depend_only_free_var.28"
- locfile="../Firstorder_semantics.mlw"
- loclnum="401" loccnumb="12" loccnume="49"
- expl="28. postcondition"
- sum="9655c6c25fa6087538ea59da22e102ad"
- proved="true"
- expanded="false"
- shape="postconditionaformula_semanticV0V7V6qaformula_semanticV0V8V5Iaformula_semanticV0V7V10qaformula_semanticV0V8V9Iainfix =ainfix @!V9V11ainfix @!V10V11Iais_fo_term_free_var_in_fo_formulaV11V0FFIainfix =aevalV2V12aevalV4V12Aainfix =aevalV1V12aevalV3V12Iais_symbol_free_var_in_fo_formulaV12V0FIainfix =ainfix @!V5V13ainfix @!V6V13Iais_fo_term_free_var_in_fo_formulaV13V0FAainfix =aevalV2V14aevalV4V14Aainfix =aevalV1V14aevalV3V14Iais_symbol_free_var_in_fo_formulaV14V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.12"/>
- </proof>
- </goal>
- </transf>
+ </transf>
+ </goal>
+ <goal name="WP_parameter formula_semantic_depend_only_free_var.4" expl="4. postcondition">
+ <proof prover="9"><result status="valid" time="0.24" steps="91"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_semantic_depend_only_free_var.5" expl="5. variant decrease">
+ <proof prover="9"><result status="valid" time="0.09" steps="10"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_semantic_depend_only_free_var.6" expl="6. precondition">
+ <proof prover="9"><result status="valid" time="0.10" steps="15"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_semantic_depend_only_free_var.7" expl="7. assertion">
+ <transf name="split_goal_wp">
+ <goal name="WP_parameter formula_semantic_depend_only_free_var.7.1" expl="1. assertion">
+ <proof prover="9"><result status="valid" time="0.11" steps="71"/></proof>
</goal>
- <goal
- name="WP_parameter formula_list_conj_semantic_depend_only_free_var"
- locfile="../Firstorder_semantics.mlw"
- loclnum="460" loccnumb="16" loccnume="63"
- expl="VC for formula_list_conj_semantic_depend_only_free_var"
- sum="2a8d19d45d19d5879fdd79cdc04e89f5"
- proved="true"
- expanded="false"
- shape="Caformula_list_conj_semanticV0V7V6qaformula_list_conj_semanticV0V8V5aFOFNilaformula_list_conj_semanticV0V7V6qaformula_list_conj_semanticV0V8V5Iaformula_list_conj_semanticV10V7V6qaformula_list_conj_semanticV10V8V5Aainfix =ainfix @!V5V11ainfix @!V6V11Iais_fo_term_free_var_in_fo_formula_listV11V10FAainfix =aevalV2V12aevalV4V12Aainfix =aevalV1V12aevalV3V12Iais_symbol_free_var_in_fo_formula_listV12V10FAainfix <asize_fo_formula_listV10asize_fo_formula_listV0Aainfix <=c0asize_fo_formula_listV0Iaformula_semanticV9V7V6qaformula_semanticV9V8V5Aainfix =ainfix @!V5V13ainfix @!V6V13Iais_fo_term_free_var_in_fo_formulaV13V9FAainfix =aevalV2V14aevalV4V14Aainfix =aevalV1V14aevalV3V14Iais_symbol_free_var_in_fo_formulaV14V9FaFOFConsVVV0Iainfix =ainfix @!V5V15ainfix @!V6V15Iais_fo_term_free_var_in_fo_formula_listV15V0FAainfix =aevalV2V16aevalV4V16Aainfix =aevalV1V16aevalV3V16Iais_symbol_free_var_in_fo_formula_listV16V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_list_conj_semantic_depend_only_free_var"/>
- <transf
- name="split_goal_wp"
- proved="true"
- expanded="false">
- <goal
- name="WP_parameter formula_list_conj_semantic_depend_only_free_var.1"
- locfile="../Firstorder_semantics.mlw"
- loclnum="460" loccnumb="16" loccnume="63"
- expl="1. postcondition"
- sum="eee2dd6bca8180236c680de7359fa973"
- proved="true"
- expanded="false"
- shape="postconditionCaformula_list_conj_semanticV0V7V6qaformula_list_conj_semanticV0V8V5aFOFNiltaFOFConsVVV0Iainfix =ainfix @!V5V11ainfix @!V6V11Iais_fo_term_free_var_in_fo_formula_listV11V0FAainfix =aevalV2V12aevalV4V12Aainfix =aevalV1V12aevalV3V12Iais_symbol_free_var_in_fo_formula_listV12V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_list_conj_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.11"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_list_conj_semantic_depend_only_free_var.2"
- locfile="../Firstorder_semantics.mlw"
- loclnum="460" loccnumb="16" loccnume="63"
- expl="2. precondition"
- sum="9399495048078bbd656193dd91ccc1b5"
- proved="true"
- expanded="false"
- shape="preconditionCtaFOFNilainfix =aevalV2V11aevalV4V11Aainfix =aevalV1V11aevalV3V11Iais_symbol_free_var_in_fo_formulaV11V9FaFOFConsVVV0Iainfix =ainfix @!V5V12ainfix @!V6V12Iais_fo_term_free_var_in_fo_formula_listV12V0FAainfix =aevalV2V13aevalV4V13Aainfix =aevalV1V13aevalV3V13Iais_symbol_free_var_in_fo_formula_listV13V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_list_conj_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.09"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_list_conj_semantic_depend_only_free_var.3"
- locfile="../Firstorder_semantics.mlw"
- loclnum="460" loccnumb="16" loccnume="63"
- expl="3. precondition"
- sum="87db3e7b62d196363797a359c7f07417"
- proved="true"
- expanded="false"
- shape="preconditionCtaFOFNilainfix =ainfix @!V5V11ainfix @!V6V11Iais_fo_term_free_var_in_fo_formulaV11V9FaFOFConsVVV0Iainfix =ainfix @!V5V12ainfix @!V6V12Iais_fo_term_free_var_in_fo_formula_listV12V0FAainfix =aevalV2V13aevalV4V13Aainfix =aevalV1V13aevalV3V13Iais_symbol_free_var_in_fo_formula_listV13V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_list_conj_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.09"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_list_conj_semantic_depend_only_free_var.4"
- locfile="../Firstorder_semantics.mlw"
- loclnum="460" loccnumb="16" loccnume="63"
- expl="4. variant decrease"
- sum="e4f918413aa529adca2ef289a930e473"
- proved="true"
- expanded="false"
- shape="variant decreaseCtaFOFNilainfix <asize_fo_formula_listV10asize_fo_formula_listV0Aainfix <=c0asize_fo_formula_listV0Iaformula_semanticV9V7V6qaformula_semanticV9V8V5Iainfix =ainfix @!V5V11ainfix @!V6V11Iais_fo_term_free_var_in_fo_formulaV11V9FAainfix =aevalV2V12aevalV4V12Aainfix =aevalV1V12aevalV3V12Iais_symbol_free_var_in_fo_formulaV12V9FaFOFConsVVV0Iainfix =ainfix @!V5V13ainfix @!V6V13Iais_fo_term_free_var_in_fo_formula_listV13V0FAainfix =aevalV2V14aevalV4V14Aainfix =aevalV1V14aevalV3V14Iais_symbol_free_var_in_fo_formula_listV14V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_list_conj_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.11"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_list_conj_semantic_depend_only_free_var.5"
- locfile="../Firstorder_semantics.mlw"
- loclnum="460" loccnumb="16" loccnume="63"
- expl="5. precondition"
- sum="a1c48e1f4dfc29e8b4e22d03c4ddc9d7"
- proved="true"
- expanded="false"
- shape="preconditionCtaFOFNilainfix =aevalV2V11aevalV4V11Aainfix =aevalV1V11aevalV3V11Iais_symbol_free_var_in_fo_formula_listV11V10FIaformula_semanticV9V7V6qaformula_semanticV9V8V5Iainfix =ainfix @!V5V12ainfix @!V6V12Iais_fo_term_free_var_in_fo_formulaV12V9FAainfix =aevalV2V13aevalV4V13Aainfix =aevalV1V13aevalV3V13Iais_symbol_free_var_in_fo_formulaV13V9FaFOFConsVVV0Iainfix =ainfix @!V5V14ainfix @!V6V14Iais_fo_term_free_var_in_fo_formula_listV14V0FAainfix =aevalV2V15aevalV4V15Aainfix =aevalV1V15aevalV3V15Iais_symbol_free_var_in_fo_formula_listV15V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_list_conj_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.10"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_list_conj_semantic_depend_only_free_var.6"
- locfile="../Firstorder_semantics.mlw"
- loclnum="460" loccnumb="16" loccnume="63"
- expl="6. precondition"
- sum="2d14ee43a21fdd27c6c5cd1ac9798a6c"
- proved="true"
- expanded="false"
- shape="preconditionCtaFOFNilainfix =ainfix @!V5V11ainfix @!V6V11Iais_fo_term_free_var_in_fo_formula_listV11V10FIaformula_semanticV9V7V6qaformula_semanticV9V8V5Iainfix =ainfix @!V5V12ainfix @!V6V12Iais_fo_term_free_var_in_fo_formulaV12V9FAainfix =aevalV2V13aevalV4V13Aainfix =aevalV1V13aevalV3V13Iais_symbol_free_var_in_fo_formulaV13V9FaFOFConsVVV0Iainfix =ainfix @!V5V14ainfix @!V6V14Iais_fo_term_free_var_in_fo_formula_listV14V0FAainfix =aevalV2V15aevalV4V15Aainfix =aevalV1V15aevalV3V15Iais_symbol_free_var_in_fo_formula_listV15V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_list_conj_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.12"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_list_conj_semantic_depend_only_free_var.7"
- locfile="../Firstorder_semantics.mlw"
- loclnum="460" loccnumb="16" loccnume="63"
- expl="7. postcondition"
- sum="f66cffb3925a41f91ab530b163e4e860"
- proved="true"
- expanded="false"
- shape="postconditionCtaFOFNilaformula_list_conj_semanticV0V7V6qaformula_list_conj_semanticV0V8V5Iaformula_list_conj_semanticV10V7V6qaformula_list_conj_semanticV10V8V5Iainfix =ainfix @!V5V11ainfix @!V6V11Iais_fo_term_free_var_in_fo_formula_listV11V10FAainfix =aevalV2V12aevalV4V12Aainfix =aevalV1V12aevalV3V12Iais_symbol_free_var_in_fo_formula_listV12V10FIaformula_semanticV9V7V6qaformula_semanticV9V8V5Iainfix =ainfix @!V5V13ainfix @!V6V13Iais_fo_term_free_var_in_fo_formulaV13V9FAainfix =aevalV2V14aevalV4V14Aainfix =aevalV1V14aevalV3V14Iais_symbol_free_var_in_fo_formulaV14V9FaFOFConsVVV0Iainfix =ainfix @!V5V15ainfix @!V6V15Iais_fo_term_free_var_in_fo_formula_listV15V0FAainfix =aevalV2V16aevalV4V16Aainfix =aevalV1V16aevalV3V16Iais_symbol_free_var_in_fo_formula_listV16V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_list_conj_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.24"/>
- </proof>
- </goal>
- </transf>
+ <goal name="WP_parameter formula_semantic_depend_only_free_var.7.2" expl="2. assertion">
+ <proof prover="9"><result status="valid" time="0.19" steps="70"/></proof>
</goal>
- <goal
- name="WP_parameter formula_list_disj_semantic_depend_only_free_var"
- locfile="../Firstorder_semantics.mlw"
- loclnum="476" loccnumb="16" loccnume="63"
- expl="VC for formula_list_disj_semantic_depend_only_free_var"
- sum="4cc3038b6b3843ba23f632b6a4ba14b2"
- proved="true"
- expanded="false"
- shape="Caformula_list_disj_semanticV0V7V6qaformula_list_disj_semanticV0V8V5aFOFNilaformula_list_disj_semanticV0V7V6qaformula_list_disj_semanticV0V8V5Iaformula_list_disj_semanticV10V7V6qaformula_list_disj_semanticV10V8V5Aainfix =ainfix @!V5V11ainfix @!V6V11Iais_fo_term_free_var_in_fo_formula_listV11V10FAainfix =aevalV2V12aevalV4V12Aainfix =aevalV1V12aevalV3V12Iais_symbol_free_var_in_fo_formula_listV12V10FAainfix <asize_fo_formula_listV10asize_fo_formula_listV0Aainfix <=c0asize_fo_formula_listV0Iaformula_semanticV9V7V6qaformula_semanticV9V8V5Aainfix =ainfix @!V5V13ainfix @!V6V13Iais_fo_term_free_var_in_fo_formulaV13V9FAainfix =aevalV2V14aevalV4V14Aainfix =aevalV1V14aevalV3V14Iais_symbol_free_var_in_fo_formulaV14V9FaFOFConsVVV0Iainfix =ainfix @!V5V15ainfix @!V6V15Iais_fo_term_free_var_in_fo_formula_listV15V0FAainfix =aevalV2V16aevalV4V16Aainfix =aevalV1V16aevalV3V16Iais_symbol_free_var_in_fo_formula_listV16V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_list_disj_semantic_depend_only_free_var"/>
- <transf
- name="split_goal_wp"
- proved="true"
- expanded="false">
- <goal
- name="WP_parameter formula_list_disj_semantic_depend_only_free_var.1"
- locfile="../Firstorder_semantics.mlw"
- loclnum="476" loccnumb="16" loccnume="63"
- expl="1. postcondition"
- sum="df086d567663345ffef5561f3bf4cbc3"
- proved="true"
- expanded="false"
- shape="postconditionCaformula_list_disj_semanticV0V7V6qaformula_list_disj_semanticV0V8V5aFOFNiltaFOFConsVVV0Iainfix =ainfix @!V5V11ainfix @!V6V11Iais_fo_term_free_var_in_fo_formula_listV11V0FAainfix =aevalV2V12aevalV4V12Aainfix =aevalV1V12aevalV3V12Iais_symbol_free_var_in_fo_formula_listV12V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_list_disj_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.11"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_list_disj_semantic_depend_only_free_var.2"
- locfile="../Firstorder_semantics.mlw"
- loclnum="476" loccnumb="16" loccnume="63"
- expl="2. precondition"
- sum="360a1a17b52b234705b86b07cbad871d"
- proved="true"
- expanded="false"
- shape="preconditionCtaFOFNilainfix =aevalV2V11aevalV4V11Aainfix =aevalV1V11aevalV3V11Iais_symbol_free_var_in_fo_formulaV11V9FaFOFConsVVV0Iainfix =ainfix @!V5V12ainfix @!V6V12Iais_fo_term_free_var_in_fo_formula_listV12V0FAainfix =aevalV2V13aevalV4V13Aainfix =aevalV1V13aevalV3V13Iais_symbol_free_var_in_fo_formula_listV13V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_list_disj_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.12"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_list_disj_semantic_depend_only_free_var.3"
- locfile="../Firstorder_semantics.mlw"
- loclnum="476" loccnumb="16" loccnume="63"
- expl="3. precondition"
- sum="df83b8f1d770d31866dd5d7fd0731a61"
- proved="true"
- expanded="false"
- shape="preconditionCtaFOFNilainfix =ainfix @!V5V11ainfix @!V6V11Iais_fo_term_free_var_in_fo_formulaV11V9FaFOFConsVVV0Iainfix =ainfix @!V5V12ainfix @!V6V12Iais_fo_term_free_var_in_fo_formula_listV12V0FAainfix =aevalV2V13aevalV4V13Aainfix =aevalV1V13aevalV3V13Iais_symbol_free_var_in_fo_formula_listV13V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_list_disj_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.11"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_list_disj_semantic_depend_only_free_var.4"
- locfile="../Firstorder_semantics.mlw"
- loclnum="476" loccnumb="16" loccnume="63"
- expl="4. variant decrease"
- sum="758c0720d61fa3e12a93f4e79c036f32"
- proved="true"
- expanded="false"
- shape="variant decreaseCtaFOFNilainfix <asize_fo_formula_listV10asize_fo_formula_listV0Aainfix <=c0asize_fo_formula_listV0Iaformula_semanticV9V7V6qaformula_semanticV9V8V5Iainfix =ainfix @!V5V11ainfix @!V6V11Iais_fo_term_free_var_in_fo_formulaV11V9FAainfix =aevalV2V12aevalV4V12Aainfix =aevalV1V12aevalV3V12Iais_symbol_free_var_in_fo_formulaV12V9FaFOFConsVVV0Iainfix =ainfix @!V5V13ainfix @!V6V13Iais_fo_term_free_var_in_fo_formula_listV13V0FAainfix =aevalV2V14aevalV4V14Aainfix =aevalV1V14aevalV3V14Iais_symbol_free_var_in_fo_formula_listV14V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_list_disj_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.13"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_list_disj_semantic_depend_only_free_var.5"
- locfile="../Firstorder_semantics.mlw"
- loclnum="476" loccnumb="16" loccnume="63"
- expl="5. precondition"
- sum="4f2a04663f1e0519f019eeb0d8a5da73"
- proved="true"
- expanded="false"
- shape="preconditionCtaFOFNilainfix =aevalV2V11aevalV4V11Aainfix =aevalV1V11aevalV3V11Iais_symbol_free_var_in_fo_formula_listV11V10FIaformula_semanticV9V7V6qaformula_semanticV9V8V5Iainfix =ainfix @!V5V12ainfix @!V6V12Iais_fo_term_free_var_in_fo_formulaV12V9FAainfix =aevalV2V13aevalV4V13Aainfix =aevalV1V13aevalV3V13Iais_symbol_free_var_in_fo_formulaV13V9FaFOFConsVVV0Iainfix =ainfix @!V5V14ainfix @!V6V14Iais_fo_term_free_var_in_fo_formula_listV14V0FAainfix =aevalV2V15aevalV4V15Aainfix =aevalV1V15aevalV3V15Iais_symbol_free_var_in_fo_formula_listV15V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_list_disj_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.12"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_list_disj_semantic_depend_only_free_var.6"
- locfile="../Firstorder_semantics.mlw"
- loclnum="476" loccnumb="16" loccnume="63"
- expl="6. precondition"
- sum="562698e20fd9e2baa4da6c2ccd7a559f"
- proved="true"
- expanded="false"
- shape="preconditionCtaFOFNilainfix =ainfix @!V5V11ainfix @!V6V11Iais_fo_term_free_var_in_fo_formula_listV11V10FIaformula_semanticV9V7V6qaformula_semanticV9V8V5Iainfix =ainfix @!V5V12ainfix @!V6V12Iais_fo_term_free_var_in_fo_formulaV12V9FAainfix =aevalV2V13aevalV4V13Aainfix =aevalV1V13aevalV3V13Iais_symbol_free_var_in_fo_formulaV13V9FaFOFConsVVV0Iainfix =ainfix @!V5V14ainfix @!V6V14Iais_fo_term_free_var_in_fo_formula_listV14V0FAainfix =aevalV2V15aevalV4V15Aainfix =aevalV1V15aevalV3V15Iais_symbol_free_var_in_fo_formula_listV15V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_list_disj_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.13"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_list_disj_semantic_depend_only_free_var.7"
- locfile="../Firstorder_semantics.mlw"
- loclnum="476" loccnumb="16" loccnume="63"
- expl="7. postcondition"
- sum="2ed735eb1f1e71e44aebfc24c1fbd2fc"
- proved="true"
- expanded="false"
- shape="postconditionCtaFOFNilaformula_list_disj_semanticV0V7V6qaformula_list_disj_semanticV0V8V5Iaformula_list_disj_semanticV10V7V6qaformula_list_disj_semanticV10V8V5Iainfix =ainfix @!V5V11ainfix @!V6V11Iais_fo_term_free_var_in_fo_formula_listV11V10FAainfix =aevalV2V12aevalV4V12Aainfix =aevalV1V12aevalV3V12Iais_symbol_free_var_in_fo_formula_listV12V10FIaformula_semanticV9V7V6qaformula_semanticV9V8V5Iainfix =ainfix @!V5V13ainfix @!V6V13Iais_fo_term_free_var_in_fo_formulaV13V9FAainfix =aevalV2V14aevalV4V14Aainfix =aevalV1V14aevalV3V14Iais_symbol_free_var_in_fo_formulaV14V9FaFOFConsVVV0Iainfix =ainfix @!V5V15ainfix @!V6V15Iais_fo_term_free_var_in_fo_formula_listV15V0FAainfix =aevalV2V16aevalV4V16Aainfix =aevalV1V16aevalV3V16Iais_symbol_free_var_in_fo_formula_listV16V0FLamk modelV1V2Lamk modelV3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_list_disj_semantic_depend_only_free_var"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.17"/>
- </proof>
- </goal>
- </transf>
+ <goal name="WP_parameter formula_semantic_depend_only_free_var.7.3" expl="3. assertion">
+ <proof prover="9"><result status="valid" time="0.10" steps="9"/></proof>
</goal>
- <goal
- name="WP_parameter formula_list_conj_semantic_other_def"
- locfile="../Firstorder_semantics.mlw"
- loclnum="496" loccnumb="16" loccnume="52"
- expl="VC for formula_list_conj_semantic_other_def"
- sum="421d4f21a03e12aa17673d1d6f0face8"
- proved="true"
- expanded="false"
- shape="Caformula_semanticV5V4V3Iaformula_list_memV5V0Fqaformula_list_conj_semanticV0V4V3aFOFNilaformula_semanticV7V4V3Iaformula_list_memV7V0Fqaformula_list_conj_semanticV0V4V3Iaformula_semanticV8V4V3Iaformula_list_memV8V6Fqaformula_list_conj_semanticV6V4V3Aainfix <asize_fo_formula_listV6asize_fo_formula_listV0Aainfix <=c0asize_fo_formula_listV0aFOFConswVV0Lamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_list_conj_semantic_other_def"/>
- <transf
- name="split_goal_wp"
- proved="true"
- expanded="false">
- <goal
- name="WP_parameter formula_list_conj_semantic_other_def.1"
- locfile="../Firstorder_semantics.mlw"
- loclnum="496" loccnumb="16" loccnume="52"
- expl="1. postcondition"
- sum="035980680856d2a4b51998786bc7aaec"
- proved="true"
- expanded="false"
- shape="postconditionCaformula_semanticV5V4V3Iaformula_list_memV5V0Fqaformula_list_conj_semanticV0V4V3aFOFNiltaFOFConswVV0Lamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_list_conj_semantic_other_def"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.11"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_list_conj_semantic_other_def.2"
- locfile="../Firstorder_semantics.mlw"
- loclnum="496" loccnumb="16" loccnume="52"
- expl="2. variant decrease"
- sum="ebde57296a99667e39a4b652b1b37555"
- proved="true"
- expanded="false"
- shape="variant decreaseCtaFOFNilainfix <asize_fo_formula_listV5asize_fo_formula_listV0Aainfix <=c0asize_fo_formula_listV0aFOFConswVV0Lamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_list_conj_semantic_other_def"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.11"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_list_conj_semantic_other_def.3"
- locfile="../Firstorder_semantics.mlw"
- loclnum="496" loccnumb="16" loccnume="52"
- expl="3. postcondition"
- sum="714dac43f6e57a222aeb254f3d087638"
- proved="true"
- expanded="false"
- shape="postconditionCtaFOFNilaformula_semanticV6V4V3Iaformula_list_memV6V0Fqaformula_list_conj_semanticV0V4V3Iaformula_semanticV7V4V3Iaformula_list_memV7V5Fqaformula_list_conj_semanticV5V4V3aFOFConswVV0Lamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_list_conj_semantic_other_def"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.21"/>
- </proof>
- </goal>
- </transf>
+ <goal name="WP_parameter formula_semantic_depend_only_free_var.7.4" expl="4. assertion">
+ <proof prover="9"><result status="valid" time="0.17" steps="15"/></proof>
</goal>
- <goal
- name="WP_parameter formula_list_disj_semantic_other_def"
- locfile="../Firstorder_semantics.mlw"
- loclnum="506" loccnumb="16" loccnume="52"
- expl="VC for formula_list_disj_semantic_other_def"
- sum="d39c26d01e2937bde3f41fd1a68ffde3"
- proved="true"
- expanded="false"
- shape="Caformula_semanticV5V4V3Aaformula_list_memV5V0Eqaformula_list_disj_semanticV0V4V3aFOFNilaformula_semanticV8V4V3Aaformula_list_memV8V0Eqaformula_list_disj_semanticV0V4V3Iaformula_semanticV9V4V3Aaformula_list_memV9V7Eqaformula_list_disj_semanticV7V4V3Aainfix <asize_fo_formula_listV7asize_fo_formula_listV0Aainfix <=c0asize_fo_formula_listV0aFOFConsVVV0Lamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_list_disj_semantic_other_def"/>
- <transf
- name="split_goal_wp"
- proved="true"
- expanded="false">
- <goal
- name="WP_parameter formula_list_disj_semantic_other_def.1"
- locfile="../Firstorder_semantics.mlw"
- loclnum="506" loccnumb="16" loccnume="52"
- expl="1. postcondition"
- sum="ed3679cd700ebcee54af3bd5bdf3434b"
- proved="true"
- expanded="false"
- shape="postconditionCaformula_semanticV5V4V3Aaformula_list_memV5V0Eqaformula_list_disj_semanticV0V4V3aFOFNiltaFOFConsVVV0Lamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_list_disj_semantic_other_def"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="true"
- archived="false">
- <result status="unknown" time="0.30"/>
- </proof>
- <transf
- name="split_goal_wp"
- proved="true"
- expanded="false">
- <goal
- name="WP_parameter formula_list_disj_semantic_other_def.1.1"
- locfile="../Firstorder_semantics.mlw"
- loclnum="506" loccnumb="16" loccnume="52"
- expl="1. postcondition"
- sum="15a5222111f85a83bc6e0f63854520f3"
- proved="true"
- expanded="false"
- shape="postconditionCaformula_semanticV5V4V3Aaformula_list_memV5V0EIaformula_list_disj_semanticV0V4V3aFOFNiltaFOFConsVVV0Lamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_list_disj_semantic_other_def"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.10"/>
- </proof>
- <proof
- prover="3"
- timelimit="5"
- memlimit="1000"
- obsolete="true"
- archived="false">
- <result status="timeout" time="5.00"/>
- </proof>
- <proof
- prover="5"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="1.11"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_list_disj_semantic_other_def.1.2"
- locfile="../Firstorder_semantics.mlw"
- loclnum="506" loccnumb="16" loccnume="52"
- expl="2. postcondition"
- sum="dd92f680febfb054f7530ddb8cd9a756"
- proved="true"
- expanded="false"
- shape="postconditionCaformula_list_disj_semanticV0V4V3Iaformula_semanticV5V4V3Aaformula_list_memV5V0EaFOFNiltaFOFConsVVV0Lamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_list_disj_semantic_other_def"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.13"/>
- </proof>
- </goal>
- </transf>
- </goal>
- <goal
- name="WP_parameter formula_list_disj_semantic_other_def.2"
- locfile="../Firstorder_semantics.mlw"
- loclnum="506" loccnumb="16" loccnume="52"
- expl="2. variant decrease"
- sum="97ce5a9d78006a2f1a7c1f4cade5fcc2"
- proved="true"
- expanded="false"
- shape="variant decreaseCtaFOFNilainfix <asize_fo_formula_listV6asize_fo_formula_listV0Aainfix <=c0asize_fo_formula_listV0aFOFConsVVV0Lamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_list_disj_semantic_other_def"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.12"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_list_disj_semantic_other_def.3"
- locfile="../Firstorder_semantics.mlw"
- loclnum="506" loccnumb="16" loccnume="52"
- expl="3. postcondition"
- sum="f638a11daa1fc35ddf8a6a5445a03d3b"
- proved="true"
- expanded="false"
- shape="postconditionCtaFOFNilaformula_semanticV7V4V3Aaformula_list_memV7V0Eqaformula_list_disj_semanticV0V4V3Iaformula_semanticV8V4V3Aaformula_list_memV8V6Eqaformula_list_disj_semanticV6V4V3aFOFConsVVV0Lamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_list_disj_semantic_other_def"/>
- <transf
- name="split_goal_wp"
- proved="true"
- expanded="false">
- <goal
- name="WP_parameter formula_list_disj_semantic_other_def.3.1"
- locfile="../Firstorder_semantics.mlw"
- loclnum="506" loccnumb="16" loccnume="52"
- expl="1. postcondition"
- sum="967477d0cb5ea282b7fb9e3c572c5189"
- proved="true"
- expanded="false"
- shape="postconditionCtaFOFNilaformula_semanticV7V4V3Aaformula_list_memV7V0EIaformula_list_disj_semanticV0V4V3Iaformula_semanticV8V4V3Aaformula_list_memV8V6Eqaformula_list_disj_semanticV6V4V3aFOFConsVVV0Lamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_list_disj_semantic_other_def"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.13"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter formula_list_disj_semantic_other_def.3.2"
- locfile="../Firstorder_semantics.mlw"
- loclnum="506" loccnumb="16" loccnume="52"
- expl="2. postcondition"
- sum="dec66a5b0b77293608fb623729e1cb36"
- proved="true"
- expanded="false"
- shape="postconditionCtaFOFNilaformula_list_disj_semanticV0V4V3Iaformula_semanticV7V4V3Aaformula_list_memV7V0EIaformula_semanticV8V4V3Aaformula_list_memV8V6Eqaformula_list_disj_semanticV6V4V3aFOFConsVVV0Lamk modelV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for formula_list_disj_semantic_other_def"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.12"/>
- </proof>
- <proof
- prover="2"
- timelimit="5"
- memlimit="1000"
- obsolete="true"
- archived="false">
- <result status="timeout" time="4.98"/>
- </proof>
- <proof
- prover="3"
- timelimit="5"
- memlimit="1000"
- obsolete="true"
- archived="false">
- <result status="timeout" time="4.98"/>
- </proof>
- <proof
- prover="4"
- timelimit="5"
- memlimit="1000"
- obsolete="true"
- archived="false">
- <result status="timeout" time="4.91"/>
- </proof>
- <proof
- prover="5"
- timelimit="5"
- memlimit="1000"
- obsolete="true"
- archived="false">
- <result status="timeout" time="5.11"/>
- </proof>
- <proof
- prover="6"
- timelimit="5"
- memlimit="1000"
- obsolete="true"
- archived="false">
- <result status="unknown" time="4.07"/>
- </proof>
- <proof
- prover="8"
- timelimit="5"
- memlimit="1000"
- obsolete="true"
- archived="false">
- <result status="timeout" time="5.00"/>
- </proof>
- </goal>
- </transf>
- </goal>
- </transf>
+ <goal name="WP_parameter formula_semantic_depend_only_free_var.7.5" expl="5. assertion">
+ <proof prover="9"><result status="valid" time="0.12" steps="119"/></proof>
</goal>
- <goal
- name="WP_parameter skolem_model_transformer"
- locfile="../Firstorder_semantics.mlw"
- loclnum="637" loccnumb="12" loccnume="36"
- expl="VC for skolem_model_transformer"
- sum="7eee02a461efd72f1f253b9319fd434c"
- proved="true"
- expanded="false"
- shape="aformula_semanticasubst_fo_formulaV0asubst_id_symbolaocaseasubst_id_fo_termaAppaVar_symbolV1V2ainfix @!V4V10V9Iaformula_semanticaExistsV0V10V9Lamk modelV7V8FAainfix =aevalV11V13aevalainterp_funainfix @!V4amk modelV11V12V13INainfix =V13V1FAainfix =V15ainterp_predainfix @!V4amk modelV14V15FAaformula_semanticV6V21V18Iaformula_semanticaExistsV0V19V18Aaformula_semanticV6V21V18Iaformula_semanticV0V19aocaseV18V26Aaformula_semanticV6V21V18Aaformula_semanticV0V21V25Aaformula_semanticV0V19aocaseV18ainfix @!V20V22Aaformula_semanticV0V19aocaseainfix @!V3V22ainfix @!V20V22Iaformula_semanticV0V19aocaseainfix @!V3V22V26FAainfix =aevalV17V27aevalainterp_predV21V27Aainfix =aevalV16V27aevalainterp_funV21V27Iais_symbol_free_var_in_fo_formulaV27V0FAaextensionalEqualV24V25Aainfix =ainfix @!V24aSomeV28ainfix @!V25aSomeV28FAainfix =ainfix @!V24aNoneainfix @!V25aNoneLaocaseV18ainfix @!V20V23Lasemantic_substV5V21V18Aaformula_semanticV0V19V31qaformula_semanticV0V19V30Aainfix =ainfix @!V30V32ainfix @!V31V32Iais_fo_term_free_var_in_fo_formulaV32V0FLaocaseainfix @!V3V22V29LaocaseV18V29FAainfix =V22V23Aainfix =ainterp_predV21V17Aainfix =ainterp_funV21amixfix [<-]V16V1V20Laterm_list_semanticV2V21V18Laterm_list_semanticV2V19V18Lainfix @!V4V19Laskolem_functionV0V19V3Lamk modelV16V17FLasubst_fo_formulaV0asubst_id_symbolV5Laocaseasubst_id_fo_termaAppaVar_symbolV1V2Laskolem_transformerV0V1V3INais_symbol_free_var_in_fo_term_listV1V2Aainfix =ainfix @!ainfix @!V3aterm_list_semanticV2amk modelV33V34V35V36ainfix @!V35V36Iais_fo_term_free_var_in_fo_formulaaSomeV36V0FANais_symbol_free_var_in_fo_formulaV1V0F">
- <label
- name="expl:VC for skolem_model_transformer"/>
- <transf
- name="split_goal_wp"
- proved="true"
- expanded="false">
- <goal
- name="WP_parameter skolem_model_transformer.1"
- locfile="../Firstorder_semantics.mlw"
- loclnum="637" loccnumb="12" loccnume="36"
- expl="1. assertion"
- sum="ae33d302736dc496231d9468a8ac5e9e"
- proved="true"
- expanded="false"
- shape="assertionaformula_semanticV6V12V9Iaformula_semanticaExistsV0V10V9Aaformula_semanticV6V12V9Iaformula_semanticV0V10aocaseV9V17Aaformula_semanticV6V12V9Aaformula_semanticV0V12V16Aaformula_semanticV0V10aocaseV9ainfix @!V11V13Aaformula_semanticV0V10aocaseainfix @!V3V13ainfix @!V11V13Iaformula_semanticV0V10aocaseainfix @!V3V13V17FAainfix =aevalV8V18aevalainterp_predV12V18Aainfix =aevalV7V18aevalainterp_funV12V18Iais_symbol_free_var_in_fo_formulaV18V0FAaextensionalEqualV15V16Aainfix =ainfix @!V15aSomeV19ainfix @!V16aSomeV19FAainfix =ainfix @!V15aNoneainfix @!V16aNoneLaocaseV9ainfix @!V11V14Lasemantic_substV5V12V9Aaformula_semanticV0V10V22qaformula_semanticV0V10V21Aainfix =ainfix @!V21V23ainfix @!V22V23Iais_fo_term_free_var_in_fo_formulaV23V0FLaocaseainfix @!V3V13V20LaocaseV9V20FAainfix =V13V14Aainfix =ainterp_predV12V8Aainfix =ainterp_funV12amixfix [<-]V7V1V11Laterm_list_semanticV2V12V9Laterm_list_semanticV2V10V9Lainfix @!V4V10Laskolem_functionV0V10V3Lamk modelV7V8FLasubst_fo_formulaV0asubst_id_symbolV5Laocaseasubst_id_fo_termaAppaVar_symbolV1V2Laskolem_transformerV0V1V3INais_symbol_free_var_in_fo_term_listV1V2Aainfix =ainfix @!ainfix @!V3aterm_list_semanticV2amk modelV24V25V26V27ainfix @!V26V27Iais_fo_term_free_var_in_fo_formulaaSomeV27V0FANais_symbol_free_var_in_fo_formulaV1V0F">
- <label
- name="expl:VC for skolem_model_transformer"/>
- <transf
- name="split_goal_wp"
- proved="true"
- expanded="false">
- <goal
- name="WP_parameter skolem_model_transformer.1.1"
- locfile="../Firstorder_semantics.mlw"
- loclnum="637" loccnumb="12" loccnume="36"
- expl="1. assertion"
- sum="bfe156e96c0d8e39bbb743c8a1ae6b47"
- proved="true"
- expanded="false"
- shape="assertionainfix =ainterp_funV12amixfix [<-]V7V1V11Laterm_list_semanticV2V12V9Laterm_list_semanticV2V10V9Lainfix @!V4V10Laskolem_functionV0V10V3Lamk modelV7V8FLasubst_fo_formulaV0asubst_id_symbolV5Laocaseasubst_id_fo_termaAppaVar_symbolV1V2Laskolem_transformerV0V1V3INais_symbol_free_var_in_fo_term_listV1V2Aainfix =ainfix @!ainfix @!V3aterm_list_semanticV2amk modelV15V16V17V18ainfix @!V17V18Iais_fo_term_free_var_in_fo_formulaaSomeV18V0FANais_symbol_free_var_in_fo_formulaV1V0F">
- <label
- name="expl:VC for skolem_model_transformer"/>
- <proof
- prover="3"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.89"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter skolem_model_transformer.1.2"
- locfile="../Firstorder_semantics.mlw"
- loclnum="637" loccnumb="12" loccnume="36"
- expl="2. assertion"
- sum="37e6967641b7044baaa94e0a50a8b535"
- proved="true"
- expanded="false"
- shape="assertionainfix =ainterp_predV12V8Iainfix =ainterp_funV12amixfix [<-]V7V1V11Laterm_list_semanticV2V12V9Laterm_list_semanticV2V10V9Lainfix @!V4V10Laskolem_functionV0V10V3Lamk modelV7V8FLasubst_fo_formulaV0asubst_id_symbolV5Laocaseasubst_id_fo_termaAppaVar_symbolV1V2Laskolem_transformerV0V1V3INais_symbol_free_var_in_fo_term_listV1V2Aainfix =ainfix @!ainfix @!V3aterm_list_semanticV2amk modelV15V16V17V18ainfix @!V17V18Iais_fo_term_free_var_in_fo_formulaaSomeV18V0FANais_symbol_free_var_in_fo_formulaV1V0F">
- <label
- name="expl:VC for skolem_model_transformer"/>
- <proof
- prover="3"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.90"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter skolem_model_transformer.1.3"
- locfile="../Firstorder_semantics.mlw"
- loclnum="637" loccnumb="12" loccnume="36"
- expl="3. assertion"
- sum="3906a3c7b437d8cee5e409402a23d6fc"
- proved="true"
- expanded="false"
- shape="assertionainfix =V13V14Iainfix =ainterp_predV12V8Iainfix =ainterp_funV12amixfix [<-]V7V1V11Laterm_list_semanticV2V12V9Laterm_list_semanticV2V10V9Lainfix @!V4V10Laskolem_functionV0V10V3Lamk modelV7V8FLasubst_fo_formulaV0asubst_id_symbolV5Laocaseasubst_id_fo_termaAppaVar_symbolV1V2Laskolem_transformerV0V1V3INais_symbol_free_var_in_fo_term_listV1V2Aainfix =ainfix @!ainfix @!V3aterm_list_semanticV2amk modelV15V16V17V18ainfix @!V17V18Iais_fo_term_free_var_in_fo_formulaaSomeV18V0FANais_symbol_free_var_in_fo_formulaV1V0F">
- <label
- name="expl:VC for skolem_model_transformer"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.13"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter skolem_model_transformer.1.4"
- locfile="../Firstorder_semantics.mlw"
- loclnum="637" loccnumb="12" loccnume="36"
- expl="4. assertion"
- sum="4c349dbf8166c783970858c99c459a2b"
- proved="true"
- expanded="false"
- shape="assertionainfix =ainfix @!V16V18ainfix @!V17V18Iais_fo_term_free_var_in_fo_formulaV18V0FLaocaseainfix @!V3V13V15LaocaseV9V15FIainfix =V13V14Iainfix =ainterp_predV12V8Iainfix =ainterp_funV12amixfix [<-]V7V1V11Laterm_list_semanticV2V12V9Laterm_list_semanticV2V10V9Lainfix @!V4V10Laskolem_functionV0V10V3Lamk modelV7V8FLasubst_fo_formulaV0asubst_id_symbolV5Laocaseasubst_id_fo_termaAppaVar_symbolV1V2Laskolem_transformerV0V1V3INais_symbol_free_var_in_fo_term_listV1V2Aainfix =ainfix @!ainfix @!V3aterm_list_semanticV2amk modelV19V20V21V22ainfix @!V21V22Iais_fo_term_free_var_in_fo_formulaaSomeV22V0FANais_symbol_free_var_in_fo_formulaV1V0F">
- <label
- name="expl:VC for skolem_model_transformer"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.14"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter skolem_model_transformer.1.5"
- locfile="../Firstorder_semantics.mlw"
- loclnum="637" loccnumb="12" loccnume="36"
- expl="5. assertion"
- sum="b96f72b1159dbd048603f92f1f9b3038"
- proved="true"
- expanded="false"
- shape="assertionaformula_semanticV0V10V17Iaformula_semanticV0V10V16Iainfix =ainfix @!V16V18ainfix @!V17V18Iais_fo_term_free_var_in_fo_formulaV18V0FLaocaseainfix @!V3V13V15LaocaseV9V15FIainfix =V13V14Iainfix =ainterp_predV12V8Iainfix =ainterp_funV12amixfix [<-]V7V1V11Laterm_list_semanticV2V12V9Laterm_list_semanticV2V10V9Lainfix @!V4V10Laskolem_functionV0V10V3Lamk modelV7V8FLasubst_fo_formulaV0asubst_id_symbolV5Laocaseasubst_id_fo_termaAppaVar_symbolV1V2Laskolem_transformerV0V1V3INais_symbol_free_var_in_fo_term_listV1V2Aainfix =ainfix @!ainfix @!V3aterm_list_semanticV2amk modelV19V20V21V22ainfix @!V21V22Iais_fo_term_free_var_in_fo_formulaaSomeV22V0FANais_symbol_free_var_in_fo_formulaV1V0F">
- <label
- name="expl:VC for skolem_model_transformer"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.14"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter skolem_model_transformer.1.6"
- locfile="../Firstorder_semantics.mlw"
- loclnum="637" loccnumb="12" loccnume="36"
- expl="6. assertion"
- sum="5ad1fb42a2a8e4b6b7753d9c9e8a0917"
- proved="true"
- expanded="false"
- shape="assertionaformula_semanticV0V10V16Iaformula_semanticV0V10V17Iainfix =ainfix @!V16V18ainfix @!V17V18Iais_fo_term_free_var_in_fo_formulaV18V0FLaocaseainfix @!V3V13V15LaocaseV9V15FIainfix =V13V14Iainfix =ainterp_predV12V8Iainfix =ainterp_funV12amixfix [<-]V7V1V11Laterm_list_semanticV2V12V9Laterm_list_semanticV2V10V9Lainfix @!V4V10Laskolem_functionV0V10V3Lamk modelV7V8FLasubst_fo_formulaV0asubst_id_symbolV5Laocaseasubst_id_fo_termaAppaVar_symbolV1V2Laskolem_transformerV0V1V3INais_symbol_free_var_in_fo_term_listV1V2Aainfix =ainfix @!ainfix @!V3aterm_list_semanticV2amk modelV19V20V21V22ainfix @!V21V22Iais_fo_term_free_var_in_fo_formulaaSomeV22V0FANais_symbol_free_var_in_fo_formulaV1V0F">
- <label
- name="expl:VC for skolem_model_transformer"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.14"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter skolem_model_transformer.1.7"
- locfile="../Firstorder_semantics.mlw"
- loclnum="637" loccnumb="12" loccnume="36"
- expl="7. assertion"
- sum="fa7713c2373e2be1f3891d367c90633e"
- proved="true"
- expanded="false"
- shape="assertionainfix =ainfix @!V15aNoneainfix @!V16aNoneLaocaseV9ainfix @!V11V14Lasemantic_substV5V12V9Iaformula_semanticV0V10V19qaformula_semanticV0V10V18Aainfix =ainfix @!V18V20ainfix @!V19V20Iais_fo_term_free_var_in_fo_formulaV20V0FLaocaseainfix @!V3V13V17LaocaseV9V17FIainfix =V13V14Iainfix =ainterp_predV12V8Iainfix =ainterp_funV12amixfix [<-]V7V1V11Laterm_list_semanticV2V12V9Laterm_list_semanticV2V10V9Lainfix @!V4V10Laskolem_functionV0V10V3Lamk modelV7V8FLasubst_fo_formulaV0asubst_id_symbolV5Laocaseasubst_id_fo_termaAppaVar_symbolV1V2Laskolem_transformerV0V1V3INais_symbol_free_var_in_fo_term_listV1V2Aainfix =ainfix @!ainfix @!V3aterm_list_semanticV2amk modelV21V22V23V24ainfix @!V23V24Iais_fo_term_free_var_in_fo_formulaaSomeV24V0FANais_symbol_free_var_in_fo_formulaV1V0F">
- <label
- name="expl:VC for skolem_model_transformer"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.15"/>
- </proof>
- <proof
- prover="2"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="2.10"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter skolem_model_transformer.1.8"
- locfile="../Firstorder_semantics.mlw"
- loclnum="637" loccnumb="12" loccnume="36"
- expl="8. assertion"
- sum="1ba9b80e0c772b244a050cd8560a26bd"
- proved="true"
- expanded="false"
- shape="assertionainfix =ainfix @!V15aSomeV17ainfix @!V16aSomeV17FIainfix =ainfix @!V15aNoneainfix @!V16aNoneLaocaseV9ainfix @!V11V14Lasemantic_substV5V12V9Iaformula_semanticV0V10V20qaformula_semanticV0V10V19Aainfix =ainfix @!V19V21ainfix @!V20V21Iais_fo_term_free_var_in_fo_formulaV21V0FLaocaseainfix @!V3V13V18LaocaseV9V18FIainfix =V13V14Iainfix =ainterp_predV12V8Iainfix =ainterp_funV12amixfix [<-]V7V1V11Laterm_list_semanticV2V12V9Laterm_list_semanticV2V10V9Lainfix @!V4V10Laskolem_functionV0V10V3Lamk modelV7V8FLasubst_fo_formulaV0asubst_id_symbolV5Laocaseasubst_id_fo_termaAppaVar_symbolV1V2Laskolem_transformerV0V1V3INais_symbol_free_var_in_fo_term_listV1V2Aainfix =ainfix @!ainfix @!V3aterm_list_semanticV2amk modelV22V23V24V25ainfix @!V24V25Iais_fo_term_free_var_in_fo_formulaaSomeV25V0FANais_symbol_free_var_in_fo_formulaV1V0F">
- <label
- name="expl:VC for skolem_model_transformer"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.20"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter skolem_model_transformer.1.9"
- locfile="../Firstorder_semantics.mlw"
- loclnum="637" loccnumb="12" loccnume="36"
- expl="9. assertion"
- sum="d3bb4318c114d497b5cec73c1105f077"
- proved="true"
- expanded="false"
- shape="assertionaextensionalEqualV15V16Iainfix =ainfix @!V15aSomeV17ainfix @!V16aSomeV17FIainfix =ainfix @!V15aNoneainfix @!V16aNoneLaocaseV9ainfix @!V11V14Lasemantic_substV5V12V9Iaformula_semanticV0V10V20qaformula_semanticV0V10V19Aainfix =ainfix @!V19V21ainfix @!V20V21Iais_fo_term_free_var_in_fo_formulaV21V0FLaocaseainfix @!V3V13V18LaocaseV9V18FIainfix =V13V14Iainfix =ainterp_predV12V8Iainfix =ainterp_funV12amixfix [<-]V7V1V11Laterm_list_semanticV2V12V9Laterm_list_semanticV2V10V9Lainfix @!V4V10Laskolem_functionV0V10V3Lamk modelV7V8FLasubst_fo_formulaV0asubst_id_symbolV5Laocaseasubst_id_fo_termaAppaVar_symbolV1V2Laskolem_transformerV0V1V3INais_symbol_free_var_in_fo_term_listV1V2Aainfix =ainfix @!ainfix @!V3aterm_list_semanticV2amk modelV22V23V24V25ainfix @!V24V25Iais_fo_term_free_var_in_fo_formulaaSomeV25V0FANais_symbol_free_var_in_fo_formulaV1V0F">
- <label
- name="expl:VC for skolem_model_transformer"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.16"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter skolem_model_transformer.1.10"
- locfile="../Firstorder_semantics.mlw"
- loclnum="637" loccnumb="12" loccnume="36"
- expl="10. assertion"
- sum="20f44841d4a7154c04f7b277c5196d2a"
- proved="true"
- expanded="false"
- shape="assertionainfix =aevalV7V17aevalainterp_funV12V17Iais_symbol_free_var_in_fo_formulaV17V0FIaextensionalEqualV15V16Iainfix =ainfix @!V15aSomeV18ainfix @!V16aSomeV18FIainfix =ainfix @!V15aNoneainfix @!V16aNoneLaocaseV9ainfix @!V11V14Lasemantic_substV5V12V9Iaformula_semanticV0V10V21qaformula_semanticV0V10V20Aainfix =ainfix @!V20V22ainfix @!V21V22Iais_fo_term_free_var_in_fo_formulaV22V0FLaocaseainfix @!V3V13V19LaocaseV9V19FIainfix =V13V14Iainfix =ainterp_predV12V8Iainfix =ainterp_funV12amixfix [<-]V7V1V11Laterm_list_semanticV2V12V9Laterm_list_semanticV2V10V9Lainfix @!V4V10Laskolem_functionV0V10V3Lamk modelV7V8FLasubst_fo_formulaV0asubst_id_symbolV5Laocaseasubst_id_fo_termaAppaVar_symbolV1V2Laskolem_transformerV0V1V3INais_symbol_free_var_in_fo_term_listV1V2Aainfix =ainfix @!ainfix @!V3aterm_list_semanticV2amk modelV23V24V25V26ainfix @!V25V26Iais_fo_term_free_var_in_fo_formulaaSomeV26V0FANais_symbol_free_var_in_fo_formulaV1V0F">
- <label
- name="expl:VC for skolem_model_transformer"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.12"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter skolem_model_transformer.1.11"
- locfile="../Firstorder_semantics.mlw"
- loclnum="637" loccnumb="12" loccnume="36"
- expl="11. assertion"
- sum="e8b308a52f2529327307f19cba97268c"
- proved="true"
- expanded="false"
- shape="assertionainfix =aevalV8V17aevalainterp_predV12V17Iais_symbol_free_var_in_fo_formulaV17V0FIaextensionalEqualV15V16Iainfix =ainfix @!V15aSomeV18ainfix @!V16aSomeV18FIainfix =ainfix @!V15aNoneainfix @!V16aNoneLaocaseV9ainfix @!V11V14Lasemantic_substV5V12V9Iaformula_semanticV0V10V21qaformula_semanticV0V10V20Aainfix =ainfix @!V20V22ainfix @!V21V22Iais_fo_term_free_var_in_fo_formulaV22V0FLaocaseainfix @!V3V13V19LaocaseV9V19FIainfix =V13V14Iainfix =ainterp_predV12V8Iainfix =ainterp_funV12amixfix [<-]V7V1V11Laterm_list_semanticV2V12V9Laterm_list_semanticV2V10V9Lainfix @!V4V10Laskolem_functionV0V10V3Lamk modelV7V8FLasubst_fo_formulaV0asubst_id_symbolV5Laocaseasubst_id_fo_termaAppaVar_symbolV1V2Laskolem_transformerV0V1V3INais_symbol_free_var_in_fo_term_listV1V2Aainfix =ainfix @!ainfix @!V3aterm_list_semanticV2amk modelV23V24V25V26ainfix @!V25V26Iais_fo_term_free_var_in_fo_formulaaSomeV26V0FANais_symbol_free_var_in_fo_formulaV1V0F">
- <label
- name="expl:VC for skolem_model_transformer"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.13"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter skolem_model_transformer.1.12"
- locfile="../Firstorder_semantics.mlw"
- loclnum="637" loccnumb="12" loccnume="36"
- expl="12. assertion"
- sum="4ff07997c5973aa8ebe88399354aaaee"
- proved="true"
- expanded="false"
- shape="assertionaformula_semanticV0V10aocaseainfix @!V3V13ainfix @!V11V13Iaformula_semanticV0V10aocaseainfix @!V3V13V17FIainfix =aevalV8V18aevalainterp_predV12V18Aainfix =aevalV7V18aevalainterp_funV12V18Iais_symbol_free_var_in_fo_formulaV18V0FIaextensionalEqualV15V16Iainfix =ainfix @!V15aSomeV19ainfix @!V16aSomeV19FIainfix =ainfix @!V15aNoneainfix @!V16aNoneLaocaseV9ainfix @!V11V14Lasemantic_substV5V12V9Iaformula_semanticV0V10V22qaformula_semanticV0V10V21Aainfix =ainfix @!V21V23ainfix @!V22V23Iais_fo_term_free_var_in_fo_formulaV23V0FLaocaseainfix @!V3V13V20LaocaseV9V20FIainfix =V13V14Iainfix =ainterp_predV12V8Iainfix =ainterp_funV12amixfix [<-]V7V1V11Laterm_list_semanticV2V12V9Laterm_list_semanticV2V10V9Lainfix @!V4V10Laskolem_functionV0V10V3Lamk modelV7V8FLasubst_fo_formulaV0asubst_id_symbolV5Laocaseasubst_id_fo_termaAppaVar_symbolV1V2Laskolem_transformerV0V1V3INais_symbol_free_var_in_fo_term_listV1V2Aainfix =ainfix @!ainfix @!V3aterm_list_semanticV2amk modelV24V25V26V27ainfix @!V26V27Iais_fo_term_free_var_in_fo_formulaaSomeV27V0FANais_symbol_free_var_in_fo_formulaV1V0F">
- <label
- name="expl:VC for skolem_model_transformer"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.67"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter skolem_model_transformer.1.13"
- locfile="../Firstorder_semantics.mlw"
- loclnum="637" loccnumb="12" loccnume="36"
- expl="13. assertion"
- sum="3d1e1577f205bc391e5f920817346cb8"
- proved="true"
- expanded="false"
- shape="assertionaformula_semanticV0V10aocaseV9ainfix @!V11V13Iaformula_semanticV0V10aocaseainfix @!V3V13ainfix @!V11V13Iaformula_semanticV0V10aocaseainfix @!V3V13V17FIainfix =aevalV8V18aevalainterp_predV12V18Aainfix =aevalV7V18aevalainterp_funV12V18Iais_symbol_free_var_in_fo_formulaV18V0FIaextensionalEqualV15V16Iainfix =ainfix @!V15aSomeV19ainfix @!V16aSomeV19FIainfix =ainfix @!V15aNoneainfix @!V16aNoneLaocaseV9ainfix @!V11V14Lasemantic_substV5V12V9Iaformula_semanticV0V10V22qaformula_semanticV0V10V21Aainfix =ainfix @!V21V23ainfix @!V22V23Iais_fo_term_free_var_in_fo_formulaV23V0FLaocaseainfix @!V3V13V20LaocaseV9V20FIainfix =V13V14Iainfix =ainterp_predV12V8Iainfix =ainterp_funV12amixfix [<-]V7V1V11Laterm_list_semanticV2V12V9Laterm_list_semanticV2V10V9Lainfix @!V4V10Laskolem_functionV0V10V3Lamk modelV7V8FLasubst_fo_formulaV0asubst_id_symbolV5Laocaseasubst_id_fo_termaAppaVar_symbolV1V2Laskolem_transformerV0V1V3INais_symbol_free_var_in_fo_term_listV1V2Aainfix =ainfix @!ainfix @!V3aterm_list_semanticV2amk modelV24V25V26V27ainfix @!V26V27Iais_fo_term_free_var_in_fo_formulaaSomeV27V0FANais_symbol_free_var_in_fo_formulaV1V0F">
- <label
- name="expl:VC for skolem_model_transformer"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.23"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter skolem_model_transformer.1.14"
- locfile="../Firstorder_semantics.mlw"
- loclnum="637" loccnumb="12" loccnume="36"
- expl="14. assertion"
- sum="eb167d2f1b0effc86e52db1ae53c7143"
- proved="true"
- expanded="false"
- shape="assertionaformula_semanticV0V12V16Iaformula_semanticV0V10aocaseV9ainfix @!V11V13Iaformula_semanticV0V10aocaseainfix @!V3V13ainfix @!V11V13Iaformula_semanticV0V10aocaseainfix @!V3V13V17FIainfix =aevalV8V18aevalainterp_predV12V18Aainfix =aevalV7V18aevalainterp_funV12V18Iais_symbol_free_var_in_fo_formulaV18V0FIaextensionalEqualV15V16Iainfix =ainfix @!V15aSomeV19ainfix @!V16aSomeV19FIainfix =ainfix @!V15aNoneainfix @!V16aNoneLaocaseV9ainfix @!V11V14Lasemantic_substV5V12V9Iaformula_semanticV0V10V22qaformula_semanticV0V10V21Aainfix =ainfix @!V21V23ainfix @!V22V23Iais_fo_term_free_var_in_fo_formulaV23V0FLaocaseainfix @!V3V13V20LaocaseV9V20FIainfix =V13V14Iainfix =ainterp_predV12V8Iainfix =ainterp_funV12amixfix [<-]V7V1V11Laterm_list_semanticV2V12V9Laterm_list_semanticV2V10V9Lainfix @!V4V10Laskolem_functionV0V10V3Lamk modelV7V8FLasubst_fo_formulaV0asubst_id_symbolV5Laocaseasubst_id_fo_termaAppaVar_symbolV1V2Laskolem_transformerV0V1V3INais_symbol_free_var_in_fo_term_listV1V2Aainfix =ainfix @!ainfix @!V3aterm_list_semanticV2amk modelV24V25V26V27ainfix @!V26V27Iais_fo_term_free_var_in_fo_formulaaSomeV27V0FANais_symbol_free_var_in_fo_formulaV1V0F">
- <label
- name="expl:VC for skolem_model_transformer"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.92"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter skolem_model_transformer.1.15"
- locfile="../Firstorder_semantics.mlw"
- loclnum="637" loccnumb="12" loccnume="36"
- expl="15. assertion"
- sum="b252bcaf7f25507356b32624ee0a798f"
- proved="true"
- expanded="false"
- shape="assertionaformula_semanticV6V12V9Iaformula_semanticV0V12V16Iaformula_semanticV0V10aocaseV9ainfix @!V11V13Iaformula_semanticV0V10aocaseainfix @!V3V13ainfix @!V11V13Iaformula_semanticV0V10aocaseainfix @!V3V13V17FIainfix =aevalV8V18aevalainterp_predV12V18Aainfix =aevalV7V18aevalainterp_funV12V18Iais_symbol_free_var_in_fo_formulaV18V0FIaextensionalEqualV15V16Iainfix =ainfix @!V15aSomeV19ainfix @!V16aSomeV19FIainfix =ainfix @!V15aNoneainfix @!V16aNoneLaocaseV9ainfix @!V11V14Lasemantic_substV5V12V9Iaformula_semanticV0V10V22qaformula_semanticV0V10V21Aainfix =ainfix @!V21V23ainfix @!V22V23Iais_fo_term_free_var_in_fo_formulaV23V0FLaocaseainfix @!V3V13V20LaocaseV9V20FIainfix =V13V14Iainfix =ainterp_predV12V8Iainfix =ainterp_funV12amixfix [<-]V7V1V11Laterm_list_semanticV2V12V9Laterm_list_semanticV2V10V9Lainfix @!V4V10Laskolem_functionV0V10V3Lamk modelV7V8FLasubst_fo_formulaV0asubst_id_symbolV5Laocaseasubst_id_fo_termaAppaVar_symbolV1V2Laskolem_transformerV0V1V3INais_symbol_free_var_in_fo_term_listV1V2Aainfix =ainfix @!ainfix @!V3aterm_list_semanticV2amk modelV24V25V26V27ainfix @!V26V27Iais_fo_term_free_var_in_fo_formulaaSomeV27V0FANais_symbol_free_var_in_fo_formulaV1V0F">
- <label
- name="expl:VC for skolem_model_transformer"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.16"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter skolem_model_transformer.1.16"
- locfile="../Firstorder_semantics.mlw"
- loclnum="637" loccnumb="12" loccnume="36"
- expl="16. assertion"
- sum="8ccb94f20ef9bdd3ef7d64f654eadb2a"
- proved="true"
- expanded="false"
- shape="assertionaformula_semanticV6V12V9Iaformula_semanticV0V10aocaseV9V17Iaformula_semanticV6V12V9Aaformula_semanticV0V12V16Aaformula_semanticV0V10aocaseV9ainfix @!V11V13Aaformula_semanticV0V10aocaseainfix @!V3V13ainfix @!V11V13Iaformula_semanticV0V10aocaseainfix @!V3V13V17FIainfix =aevalV8V18aevalainterp_predV12V18Aainfix =aevalV7V18aevalainterp_funV12V18Iais_symbol_free_var_in_fo_formulaV18V0FIaextensionalEqualV15V16Iainfix =ainfix @!V15aSomeV19ainfix @!V16aSomeV19FIainfix =ainfix @!V15aNoneainfix @!V16aNoneLaocaseV9ainfix @!V11V14Lasemantic_substV5V12V9Iaformula_semanticV0V10V22qaformula_semanticV0V10V21Aainfix =ainfix @!V21V23ainfix @!V22V23Iais_fo_term_free_var_in_fo_formulaV23V0FLaocaseainfix @!V3V13V20LaocaseV9V20FIainfix =V13V14Iainfix =ainterp_predV12V8Iainfix =ainterp_funV12amixfix [<-]V7V1V11Laterm_list_semanticV2V12V9Laterm_list_semanticV2V10V9Lainfix @!V4V10Laskolem_functionV0V10V3Lamk modelV7V8FLasubst_fo_formulaV0asubst_id_symbolV5Laocaseasubst_id_fo_termaAppaVar_symbolV1V2Laskolem_transformerV0V1V3INais_symbol_free_var_in_fo_term_listV1V2Aainfix =ainfix @!ainfix @!V3aterm_list_semanticV2amk modelV24V25V26V27ainfix @!V26V27Iais_fo_term_free_var_in_fo_formulaaSomeV27V0FANais_symbol_free_var_in_fo_formulaV1V0F">
- <label
- name="expl:VC for skolem_model_transformer"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.17"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter skolem_model_transformer.1.17"
- locfile="../Firstorder_semantics.mlw"
- loclnum="637" loccnumb="12" loccnume="36"
- expl="17. assertion"
- sum="e460e6c4d6e370fbc2a9eba008251a9b"
- proved="true"
- expanded="false"
- shape="assertionaformula_semanticV6V12V9Iaformula_semanticaExistsV0V10V9Iaformula_semanticV6V12V9Iaformula_semanticV0V10aocaseV9V17Aaformula_semanticV6V12V9Aaformula_semanticV0V12V16Aaformula_semanticV0V10aocaseV9ainfix @!V11V13Aaformula_semanticV0V10aocaseainfix @!V3V13ainfix @!V11V13Iaformula_semanticV0V10aocaseainfix @!V3V13V17FAainfix =aevalV8V18aevalainterp_predV12V18Aainfix =aevalV7V18aevalainterp_funV12V18Iais_symbol_free_var_in_fo_formulaV18V0FAaextensionalEqualV15V16Aainfix =ainfix @!V15aSomeV19ainfix @!V16aSomeV19FAainfix =ainfix @!V15aNoneainfix @!V16aNoneLaocaseV9ainfix @!V11V14Lasemantic_substV5V12V9Iaformula_semanticV0V10V22qaformula_semanticV0V10V21Aainfix =ainfix @!V21V23ainfix @!V22V23Iais_fo_term_free_var_in_fo_formulaV23V0FLaocaseainfix @!V3V13V20LaocaseV9V20FIainfix =V13V14Iainfix =ainterp_predV12V8Iainfix =ainterp_funV12amixfix [<-]V7V1V11Laterm_list_semanticV2V12V9Laterm_list_semanticV2V10V9Lainfix @!V4V10Laskolem_functionV0V10V3Lamk modelV7V8FLasubst_fo_formulaV0asubst_id_symbolV5Laocaseasubst_id_fo_termaAppaVar_symbolV1V2Laskolem_transformerV0V1V3INais_symbol_free_var_in_fo_term_listV1V2Aainfix =ainfix @!ainfix @!V3aterm_list_semanticV2amk modelV24V25V26V27ainfix @!V26V27Iais_fo_term_free_var_in_fo_formulaaSomeV27V0FANais_symbol_free_var_in_fo_formulaV1V0F">
- <label
- name="expl:VC for skolem_model_transformer"/>
- <proof
- prover="3"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="2.24"/>
- </proof>
- </goal>
- </transf>
- </goal>
- <goal
- name="WP_parameter skolem_model_transformer.2"
- locfile="../Firstorder_semantics.mlw"
- loclnum="637" loccnumb="12" loccnume="36"
- expl="2. postcondition"
- sum="a09d5951217fff613b9cbc729c394cb5"
- proved="true"
- expanded="false"
- shape="postconditionainfix =V8ainterp_predainfix @!V4amk modelV7V8FIaformula_semanticV6V14V11Iaformula_semanticaExistsV0V12V11Aaformula_semanticV6V14V11Iaformula_semanticV0V12aocaseV11V19Aaformula_semanticV6V14V11Aaformula_semanticV0V14V18Aaformula_semanticV0V12aocaseV11ainfix @!V13V15Aaformula_semanticV0V12aocaseainfix @!V3V15ainfix @!V13V15Iaformula_semanticV0V12aocaseainfix @!V3V15V19FAainfix =aevalV10V20aevalainterp_predV14V20Aainfix =aevalV9V20aevalainterp_funV14V20Iais_symbol_free_var_in_fo_formulaV20V0FAaextensionalEqualV17V18Aainfix =ainfix @!V17aSomeV21ainfix @!V18aSomeV21FAainfix =ainfix @!V17aNoneainfix @!V18aNoneLaocaseV11ainfix @!V13V16Lasemantic_substV5V14V11Aaformula_semanticV0V12V24qaformula_semanticV0V12V23Aainfix =ainfix @!V23V25ainfix @!V24V25Iais_fo_term_free_var_in_fo_formulaV25V0FLaocaseainfix @!V3V15V22LaocaseV11V22FAainfix =V15V16Aainfix =ainterp_predV14V10Aainfix =ainterp_funV14amixfix [<-]V9V1V13Laterm_list_semanticV2V14V11Laterm_list_semanticV2V12V11Lainfix @!V4V12Laskolem_functionV0V12V3Lamk modelV9V10FLasubst_fo_formulaV0asubst_id_symbolV5Laocaseasubst_id_fo_termaAppaVar_symbolV1V2Laskolem_transformerV0V1V3INais_symbol_free_var_in_fo_term_listV1V2Aainfix =ainfix @!ainfix @!V3aterm_list_semanticV2amk modelV26V27V28V29ainfix @!V28V29Iais_fo_term_free_var_in_fo_formulaaSomeV29V0FANais_symbol_free_var_in_fo_formulaV1V0F">
- <label
- name="expl:VC for skolem_model_transformer"/>
- <proof
- prover="3"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="2.17"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter skolem_model_transformer.3"
- locfile="../Firstorder_semantics.mlw"
- loclnum="637" loccnumb="12" loccnume="36"
- expl="3. postcondition"
- sum="b81143d007ea857c036e5e1b19d2a5ca"
- proved="true"
- expanded="false"
- shape="postconditionainfix =aevalV7V9aevalainterp_funainfix @!V4amk modelV7V8V9INainfix =V9V1FIaformula_semanticV6V15V12Iaformula_semanticaExistsV0V13V12Aaformula_semanticV6V15V12Iaformula_semanticV0V13aocaseV12V20Aaformula_semanticV6V15V12Aaformula_semanticV0V15V19Aaformula_semanticV0V13aocaseV12ainfix @!V14V16Aaformula_semanticV0V13aocaseainfix @!V3V16ainfix @!V14V16Iaformula_semanticV0V13aocaseainfix @!V3V16V20FAainfix =aevalV11V21aevalainterp_predV15V21Aainfix =aevalV10V21aevalainterp_funV15V21Iais_symbol_free_var_in_fo_formulaV21V0FAaextensionalEqualV18V19Aainfix =ainfix @!V18aSomeV22ainfix @!V19aSomeV22FAainfix =ainfix @!V18aNoneainfix @!V19aNoneLaocaseV12ainfix @!V14V17Lasemantic_substV5V15V12Aaformula_semanticV0V13V25qaformula_semanticV0V13V24Aainfix =ainfix @!V24V26ainfix @!V25V26Iais_fo_term_free_var_in_fo_formulaV26V0FLaocaseainfix @!V3V16V23LaocaseV12V23FAainfix =V16V17Aainfix =ainterp_predV15V11Aainfix =ainterp_funV15amixfix [<-]V10V1V14Laterm_list_semanticV2V15V12Laterm_list_semanticV2V13V12Lainfix @!V4V13Laskolem_functionV0V13V3Lamk modelV10V11FLasubst_fo_formulaV0asubst_id_symbolV5Laocaseasubst_id_fo_termaAppaVar_symbolV1V2Laskolem_transformerV0V1V3INais_symbol_free_var_in_fo_term_listV1V2Aainfix =ainfix @!ainfix @!V3aterm_list_semanticV2amk modelV27V28V29V30ainfix @!V29V30Iais_fo_term_free_var_in_fo_formulaaSomeV30V0FANais_symbol_free_var_in_fo_formulaV1V0F">
- <label
- name="expl:VC for skolem_model_transformer"/>
- <proof
- prover="3"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="6.40"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter skolem_model_transformer.4"
- locfile="../Firstorder_semantics.mlw"
- loclnum="637" loccnumb="12" loccnume="36"
- expl="4. postcondition"
- sum="c6e88252c98bba34fe2fc49cdec4cdcd"
- proved="true"
- expanded="false"
- shape="postconditionaformula_semanticasubst_fo_formulaV0asubst_id_symbolaocaseasubst_id_fo_termaAppaVar_symbolV1V2ainfix @!V4V10V9Iaformula_semanticaExistsV0V10V9Lamk modelV7V8FIaformula_semanticV6V16V13Iaformula_semanticaExistsV0V14V13Aaformula_semanticV6V16V13Iaformula_semanticV0V14aocaseV13V21Aaformula_semanticV6V16V13Aaformula_semanticV0V16V20Aaformula_semanticV0V14aocaseV13ainfix @!V15V17Aaformula_semanticV0V14aocaseainfix @!V3V17ainfix @!V15V17Iaformula_semanticV0V14aocaseainfix @!V3V17V21FAainfix =aevalV12V22aevalainterp_predV16V22Aainfix =aevalV11V22aevalainterp_funV16V22Iais_symbol_free_var_in_fo_formulaV22V0FAaextensionalEqualV19V20Aainfix =ainfix @!V19aSomeV23ainfix @!V20aSomeV23FAainfix =ainfix @!V19aNoneainfix @!V20aNoneLaocaseV13ainfix @!V15V18Lasemantic_substV5V16V13Aaformula_semanticV0V14V26qaformula_semanticV0V14V25Aainfix =ainfix @!V25V27ainfix @!V26V27Iais_fo_term_free_var_in_fo_formulaV27V0FLaocaseainfix @!V3V17V24LaocaseV13V24FAainfix =V17V18Aainfix =ainterp_predV16V12Aainfix =ainterp_funV16amixfix [<-]V11V1V15Laterm_list_semanticV2V16V13Laterm_list_semanticV2V14V13Lainfix @!V4V14Laskolem_functionV0V14V3Lamk modelV11V12FLasubst_fo_formulaV0asubst_id_symbolV5Laocaseasubst_id_fo_termaAppaVar_symbolV1V2Laskolem_transformerV0V1V3INais_symbol_free_var_in_fo_term_listV1V2Aainfix =ainfix @!ainfix @!V3aterm_list_semanticV2amk modelV28V29V30V31ainfix @!V30V31Iais_fo_term_free_var_in_fo_formulaaSomeV31V0FANais_symbol_free_var_in_fo_formulaV1V0F">
- <label
- name="expl:VC for skolem_model_transformer"/>
- <proof
- prover="3"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="1.81"/>
- </proof>
- </goal>
- </transf>
+ <goal name="WP_parameter formula_semantic_depend_only_free_var.7.6" expl="6. assertion">
+ <proof prover="9"><result status="valid" time="0.24" steps="158"/></proof>
</goal>
- </theory>
- </file>
+ </transf>
+ </goal>
+ <goal name="WP_parameter formula_semantic_depend_only_free_var.8" expl="8. postcondition">
+ <proof prover="9"><result status="valid" time="0.21" steps="91"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_semantic_depend_only_free_var.9" expl="9. variant decrease">
+ <proof prover="9"><result status="valid" time="0.10" steps="12"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_semantic_depend_only_free_var.10" expl="10. precondition">
+ <proof prover="9"><result status="valid" time="0.09" steps="18"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_semantic_depend_only_free_var.11" expl="11. variant decrease">
+ <proof prover="9"><result status="valid" time="0.10" steps="12"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_semantic_depend_only_free_var.12" expl="12. precondition">
+ <proof prover="9"><result status="valid" time="0.09" steps="20"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_semantic_depend_only_free_var.13" expl="13. postcondition">
+ <proof prover="9"><result status="valid" time="0.41" steps="312"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_semantic_depend_only_free_var.14" expl="14. variant decrease">
+ <proof prover="9"><result status="valid" time="0.11" steps="12"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_semantic_depend_only_free_var.15" expl="15. precondition">
+ <proof prover="9"><result status="valid" time="0.10" steps="18"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_semantic_depend_only_free_var.16" expl="16. variant decrease">
+ <proof prover="9"><result status="valid" time="0.11" steps="12"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_semantic_depend_only_free_var.17" expl="17. precondition">
+ <proof prover="9"><result status="valid" time="0.11" steps="20"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_semantic_depend_only_free_var.18" expl="18. postcondition">
+ <proof prover="9"><result status="valid" time="0.45" steps="520"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_semantic_depend_only_free_var.19" expl="19. variant decrease">
+ <proof prover="9"><result status="valid" time="0.08" steps="8"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_semantic_depend_only_free_var.20" expl="20. precondition">
+ <proof prover="9"><result status="valid" time="0.10" steps="15"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_semantic_depend_only_free_var.21" expl="21. postcondition">
+ <proof prover="9"><result status="valid" time="0.16" steps="62"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_semantic_depend_only_free_var.22" expl="22. postcondition">
+ <proof prover="9"><result status="valid" time="0.10" steps="6"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_semantic_depend_only_free_var.23" expl="23. postcondition">
+ <proof prover="9"><result status="valid" time="0.10" steps="6"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_semantic_depend_only_free_var.24" expl="24. assertion">
+ <proof prover="9"><result status="valid" time="0.09" steps="10"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_semantic_depend_only_free_var.25" expl="25. assertion">
+ <transf name="split_goal_wp">
+ <goal name="WP_parameter formula_semantic_depend_only_free_var.25.1" expl="1. assertion">
+ <proof prover="2"><result status="valid" time="2.25"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_semantic_depend_only_free_var.25.2" expl="2. assertion">
+ <proof prover="10"><result status="valid" time="3.41"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_semantic_depend_only_free_var.25.3" expl="3. assertion">
+ <proof prover="10"><result status="valid" time="4.02"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_semantic_depend_only_free_var.25.4" expl="4. assertion">
+ <proof prover="10"><result status="valid" time="3.88"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_semantic_depend_only_free_var.25.5" expl="5. assertion">
+ <proof prover="10"><result status="valid" time="3.48"/></proof>
+ </goal>
+ </transf>
+ </goal>
+ <goal name="WP_parameter formula_semantic_depend_only_free_var.26" expl="26. postcondition">
+ <proof prover="9"><result status="valid" time="0.19" steps="72"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_semantic_depend_only_free_var.27" expl="27. precondition">
+ <proof prover="9"><result status="valid" time="0.10" steps="4"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_semantic_depend_only_free_var.28" expl="28. postcondition">
+ <proof prover="9"><result status="valid" time="0.12" steps="17"/></proof>
+ </goal>
+ </transf>
+ </goal>
+ <goal name="WP_parameter formula_list_conj_semantic_depend_only_free_var" expl="VC for formula_list_conj_semantic_depend_only_free_var">
+ <transf name="split_goal_wp">
+ <goal name="WP_parameter formula_list_conj_semantic_depend_only_free_var.1" expl="1. postcondition">
+ <proof prover="9"><result status="valid" time="0.11" steps="6"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_list_conj_semantic_depend_only_free_var.2" expl="2. precondition">
+ <proof prover="9"><result status="valid" time="0.09" steps="17"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_list_conj_semantic_depend_only_free_var.3" expl="3. precondition">
+ <proof prover="9"><result status="valid" time="0.09" steps="17"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_list_conj_semantic_depend_only_free_var.4" expl="4. variant decrease">
+ <proof prover="9"><result status="valid" time="0.11" steps="11"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_list_conj_semantic_depend_only_free_var.5" expl="5. precondition">
+ <proof prover="9"><result status="valid" time="0.10" steps="22"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_list_conj_semantic_depend_only_free_var.6" expl="6. precondition">
+ <proof prover="9"><result status="valid" time="0.12" steps="24"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_list_conj_semantic_depend_only_free_var.7" expl="7. postcondition">
+ <proof prover="9"><result status="valid" time="0.24" steps="16"/></proof>
+ </goal>
+ </transf>
+ </goal>
+ <goal name="WP_parameter formula_list_disj_semantic_depend_only_free_var" expl="VC for formula_list_disj_semantic_depend_only_free_var">
+ <transf name="split_goal_wp">
+ <goal name="WP_parameter formula_list_disj_semantic_depend_only_free_var.1" expl="1. postcondition">
+ <proof prover="9"><result status="valid" time="0.11" steps="6"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_list_disj_semantic_depend_only_free_var.2" expl="2. precondition">
+ <proof prover="9"><result status="valid" time="0.12" steps="17"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_list_disj_semantic_depend_only_free_var.3" expl="3. precondition">
+ <proof prover="9"><result status="valid" time="0.11" steps="17"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_list_disj_semantic_depend_only_free_var.4" expl="4. variant decrease">
+ <proof prover="9"><result status="valid" time="0.13" steps="11"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_list_disj_semantic_depend_only_free_var.5" expl="5. precondition">
+ <proof prover="9"><result status="valid" time="0.12" steps="22"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_list_disj_semantic_depend_only_free_var.6" expl="6. precondition">
+ <proof prover="9"><result status="valid" time="0.13" steps="24"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_list_disj_semantic_depend_only_free_var.7" expl="7. postcondition">
+ <proof prover="9"><result status="valid" time="0.17" steps="16"/></proof>
+ </goal>
+ </transf>
+ </goal>
+ <goal name="WP_parameter formula_list_conj_semantic_other_def" expl="VC for formula_list_conj_semantic_other_def">
+ <transf name="split_goal_wp">
+ <goal name="WP_parameter formula_list_conj_semantic_other_def.1" expl="1. postcondition">
+ <proof prover="9"><result status="valid" time="0.11" steps="8"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_list_conj_semantic_other_def.2" expl="2. variant decrease">
+ <proof prover="9"><result status="valid" time="0.11" steps="9"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_list_conj_semantic_other_def.3" expl="3. postcondition">
+ <proof prover="9"><result status="valid" time="0.21" steps="65"/></proof>
+ </goal>
+ </transf>
+ </goal>
+ <goal name="WP_parameter formula_list_disj_semantic_other_def" expl="VC for formula_list_disj_semantic_other_def">
+ <transf name="split_goal_wp">
+ <goal name="WP_parameter formula_list_disj_semantic_other_def.1" expl="1. postcondition">
+ <transf name="split_goal_wp">
+ <goal name="WP_parameter formula_list_disj_semantic_other_def.1.1" expl="1. postcondition">
+ <proof prover="9"><result status="valid" time="0.10" steps="5"/></proof>
+ <proof prover="11"><result status="valid" time="0.70"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_list_disj_semantic_other_def.1.2" expl="2. postcondition">
+ <proof prover="9"><result status="valid" time="0.13" steps="9"/></proof>
+ </goal>
+ </transf>
+ </goal>
+ <goal name="WP_parameter formula_list_disj_semantic_other_def.2" expl="2. variant decrease">
+ <proof prover="9"><result status="valid" time="0.12" steps="9"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_list_disj_semantic_other_def.3" expl="3. postcondition">
+ <transf name="split_goal_wp">
+ <goal name="WP_parameter formula_list_disj_semantic_other_def.3.1" expl="1. postcondition">
+ <proof prover="9"><result status="valid" time="0.13" steps="56"/></proof>
+ </goal>
+ <goal name="WP_parameter formula_list_disj_semantic_other_def.3.2" expl="2. postcondition">
+ <proof prover="9"><result status="valid" time="0.12" steps="23"/></proof>
+ </goal>
+ </transf>
+ </goal>
+ </transf>
+ </goal>
+ <goal name="WP_parameter skolem_model_transformer" expl="VC for skolem_model_transformer">
+ <transf name="split_goal_wp">
+ <goal name="WP_parameter skolem_model_transformer.1" expl="1. assertion">
+ <transf name="split_goal_wp">
+ <goal name="WP_parameter skolem_model_transformer.1.1" expl="1. assertion">
+ <proof prover="10"><result status="valid" time="1.34"/></proof>
+ </goal>
+ <goal name="WP_parameter skolem_model_transformer.1.2" expl="2. assertion">
+ <proof prover="10"><result status="valid" time="1.95"/></proof>
+ </goal>
+ <goal name="WP_parameter skolem_model_transformer.1.3" expl="3. assertion">
+ <proof prover="9"><result status="valid" time="0.13" steps="21"/></proof>
+ </goal>
+ <goal name="WP_parameter skolem_model_transformer.1.4" expl="4. assertion">
+ <proof prover="9"><result status="valid" time="0.14" steps="35"/></proof>
+ </goal>
+ <goal name="WP_parameter skolem_model_transformer.1.5" expl="5. assertion">
+ <proof prover="9"><result status="valid" time="0.14" steps="27"/></proof>
+ </goal>
+ <goal name="WP_parameter skolem_model_transformer.1.6" expl="6. assertion">
+ <proof prover="9"><result status="valid" time="0.14" steps="27"/></proof>
+ </goal>
+ <goal name="WP_parameter skolem_model_transformer.1.7" expl="7. assertion">
+ <proof prover="2"><result status="valid" time="1.71"/></proof>
+ <proof prover="9"><result status="valid" time="0.15" steps="94"/></proof>
+ </goal>
+ <goal name="WP_parameter skolem_model_transformer.1.8" expl="8. assertion">
+ <proof prover="9"><result status="valid" time="0.20" steps="96"/></proof>
+ </goal>
+ <goal name="WP_parameter skolem_model_transformer.1.9" expl="9. assertion">
+ <proof prover="9"><result status="valid" time="0.16" steps="44"/></proof>
+ </goal>
+ <goal name="WP_parameter skolem_model_transformer.1.10" expl="10. assertion">
+ <proof prover="9"><result status="valid" time="0.12" steps="12"/></proof>
+ </goal>
+ <goal name="WP_parameter skolem_model_transformer.1.11" expl="11. assertion">
+ <proof prover="9"><result status="valid" time="0.13" steps="11"/></proof>
+ </goal>
+ <goal name="WP_parameter skolem_model_transformer.1.12" expl="12. assertion">
+ <proof prover="9"><result status="valid" time="0.18" steps="130"/></proof>
+ </goal>
+ <goal name="WP_parameter skolem_model_transformer.1.13" expl="13. assertion">
+ <proof prover="9"><result status="valid" time="0.23" steps="68"/></proof>
+ </goal>
+ <goal name="WP_parameter skolem_model_transformer.1.14" expl="14. assertion">
+ <proof prover="9"><result status="valid" time="0.21" steps="50"/></proof>
+ </goal>
+ <goal name="WP_parameter skolem_model_transformer.1.15" expl="15. assertion">
+ <proof prover="9"><result status="valid" time="0.16" steps="71"/></proof>
+ </goal>
+ <goal name="WP_parameter skolem_model_transformer.1.16" expl="16. assertion">
+ <proof prover="9"><result status="valid" time="0.17" steps="52"/></proof>
+ </goal>
+ <goal name="WP_parameter skolem_model_transformer.1.17" expl="17. assertion">
+ <proof prover="10"><result status="valid" time="4.67"/></proof>
+ </goal>
+ </transf>
+ </goal>
+ <goal name="WP_parameter skolem_model_transformer.2" expl="2. postcondition">
+ <proof prover="10"><result status="valid" time="4.77"/></proof>
+ </goal>
+ <goal name="WP_parameter skolem_model_transformer.3" expl="3. postcondition">
+ <proof prover="10"><result status="valid" time="4.94"/></proof>
+ </goal>
+ <goal name="WP_parameter skolem_model_transformer.4" expl="4. postcondition">
+ <proof prover="10"><result status="valid" time="4.53"/></proof>
+ </goal>
+ </transf>
+ </goal>
+</theory>
+</file>
</why3session>
diff --git a/examples/in_progress/prover/Firstorder_semantics/why3shapes.gz b/examples/in_progress/prover/Firstorder_semantics/why3shapes.gz
new file mode 100644
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diff --git a/examples/in_progress/prover/Firstorder_symbol_spec/why3session.xml b/examples/in_progress/prover/Firstorder_symbol_spec/why3session.xml
index 8da451a5de..2ada72d66c 100644
--- a/examples/in_progress/prover/Firstorder_symbol_spec/why3session.xml
+++ b/examples/in_progress/prover/Firstorder_symbol_spec/why3session.xml
@@ -10,215 +10,215 @@
<prover id="6" name="Spass" version="3.7" timelimit="5" memlimit="1000"/>
<prover id="7" name="Eprover" version="1.8-001" timelimit="5" memlimit="1000"/>
<prover id="8" name="CVC4" version="1.3" timelimit="5" memlimit="1000"/>
-<file name="../Firstorder_symbol_spec.mlw">
-<theory name="Spec" sum="54ebee0ba44c4d15184f0e0c09def333">
+<file name="../Firstorder_symbol_spec.mlw" expanded="true">
+<theory name="Spec" sum="54ebee0ba44c4d15184f0e0c09def333" expanded="true">
<goal name="WP_parameter size_positive_lemma_symbol" expl="VC for size_positive_lemma_symbol">
- <proof prover="0" obsolete="true"><result status="valid" time="0.02"/></proof>
+ <proof prover="0"><result status="valid" time="0.02"/></proof>
<proof prover="1"><result status="valid" time="0.02"/></proof>
<proof prover="5"><result status="valid" time="0.02" steps="4"/></proof>
<proof prover="8"><result status="valid" time="0.02"/></proof>
</goal>
<goal name="WP_parameter renaming_composition_lemma_symbol" expl="VC for renaming_composition_lemma_symbol">
- <proof prover="0" obsolete="true"><result status="valid" time="0.01"/></proof>
+ <proof prover="0"><result status="valid" time="0.01"/></proof>
<proof prover="1"><result status="valid" time="0.07"/></proof>
<proof prover="5"><result status="valid" time="0.01" steps="4"/></proof>
<proof prover="8"><result status="valid" time="0.07"/></proof>
</goal>
<goal name="WP_parameter renaming_identity_lemma_symbol" expl="VC for renaming_identity_lemma_symbol">
- <proof prover="0" obsolete="true"><result status="valid" time="0.01"/></proof>
+ <proof prover="0"><result status="valid" time="0.01"/></proof>
<proof prover="1"><result status="valid" time="0.03"/></proof>
<proof prover="5"><result status="valid" time="0.01" steps="5"/></proof>
<proof prover="8"><result status="valid" time="0.04"/></proof>
</goal>
<goal name="WP_parameter associativity_subst_rename_rename_lemma_symbol" expl="VC for associativity_subst_rename_rename_lemma_symbol">
- <proof prover="0" obsolete="true"><result status="valid" time="0.02"/></proof>
- <proof prover="1" obsolete="true"><result status="timeout" time="4.94"/></proof>
- <proof prover="2" obsolete="true"><result status="timeout" time="4.96"/></proof>
+ <proof prover="0"><result status="valid" time="0.02"/></proof>
+ <proof prover="1"><result status="timeout" time="4.94"/></proof>
+ <proof prover="2"><result status="timeout" time="4.96"/></proof>
<proof prover="5"><result status="valid" time="0.02" steps="17"/></proof>
</goal>
<goal name="WP_parameter associativity_rename_subst_rename_lemma_symbol" expl="VC for associativity_rename_subst_rename_lemma_symbol">
- <proof prover="0" obsolete="true"><result status="valid" time="0.02"/></proof>
- <proof prover="1" obsolete="true"><result status="timeout" time="4.84"/></proof>
- <proof prover="2" obsolete="true"><result status="timeout" time="5.01"/></proof>
+ <proof prover="0"><result status="valid" time="0.02"/></proof>
+ <proof prover="1"><result status="timeout" time="4.84"/></proof>
+ <proof prover="2"><result status="timeout" time="5.01"/></proof>
<proof prover="5"><result status="valid" time="0.02" steps="18"/></proof>
</goal>
<goal name="WP_parameter right_rename_subst_by_identity_lemma_symbol" expl="VC for right_rename_subst_by_identity_lemma_symbol">
- <proof prover="0" obsolete="true"><result status="valid" time="0.02"/></proof>
+ <proof prover="0"><result status="valid" time="0.02"/></proof>
<proof prover="1"><result status="valid" time="0.06"/></proof>
- <proof prover="2" obsolete="true"><result status="timeout" time="4.96"/></proof>
+ <proof prover="2"><result status="timeout" time="4.96"/></proof>
<proof prover="5"><result status="valid" time="0.02" steps="19"/></proof>
</goal>
<goal name="WP_parameter olifts_composition_lemma_rename_subst_symbol" expl="VC for olifts_composition_lemma_rename_subst_symbol">
- <proof prover="0" obsolete="true"><result status="valid" time="0.20"/></proof>
+ <proof prover="0"><result status="valid" time="0.20"/></proof>
<proof prover="1"><result status="valid" time="0.40"/></proof>
- <proof prover="2" obsolete="true"><result status="timeout" time="4.99"/></proof>
+ <proof prover="2"><result status="timeout" time="4.99"/></proof>
<proof prover="5"><result status="valid" time="0.06" steps="257"/></proof>
</goal>
<goal name="WP_parameter olifts_composition_lemma_subst_rename_symbol" expl="VC for olifts_composition_lemma_subst_rename_symbol">
- <proof prover="0" obsolete="true"><result status="valid" time="0.14"/></proof>
+ <proof prover="0"><result status="valid" time="0.14"/></proof>
<proof prover="1"><result status="valid" time="0.86"/></proof>
- <proof prover="2" obsolete="true"><result status="timeout" time="5.00"/></proof>
+ <proof prover="2"><result status="timeout" time="5.00"/></proof>
<proof prover="5"><result status="valid" time="0.14" steps="210"/></proof>
</goal>
<goal name="WP_parameter rename_then_subst_composition_lemma_symbol" expl="VC for rename_then_subst_composition_lemma_symbol">
- <proof prover="0" obsolete="true"><result status="valid" time="0.01"/></proof>
+ <proof prover="0"><result status="valid" time="0.01"/></proof>
<proof prover="1"><result status="valid" time="0.08"/></proof>
<proof prover="5"><result status="valid" time="0.01" steps="4"/></proof>
<proof prover="8"><result status="valid" time="0.08"/></proof>
</goal>
<goal name="WP_parameter subst_then_rename_composition_lemma_symbol" expl="VC for subst_then_rename_composition_lemma_symbol">
- <proof prover="0" obsolete="true"><result status="valid" time="0.02"/></proof>
+ <proof prover="0"><result status="valid" time="0.02"/></proof>
<proof prover="1"><result status="valid" time="0.09"/></proof>
<proof prover="5"><result status="valid" time="0.02" steps="5"/></proof>
<proof prover="8"><result status="valid" time="0.10"/></proof>
</goal>
<goal name="WP_parameter associativity_rename_subst_subst_lemma_symbol" expl="VC for associativity_rename_subst_subst_lemma_symbol">
- <proof prover="0" obsolete="true"><result status="valid" time="0.02"/></proof>
- <proof prover="1" obsolete="true"><result status="timeout" time="4.94"/></proof>
- <proof prover="2" obsolete="true"><result status="timeout" time="4.97"/></proof>
+ <proof prover="0"><result status="valid" time="0.02"/></proof>
+ <proof prover="1"><result status="timeout" time="4.94"/></proof>
+ <proof prover="2"><result status="timeout" time="4.97"/></proof>
<proof prover="5"><result status="valid" time="0.02" steps="18"/></proof>
</goal>
<goal name="WP_parameter associativity_subst_rename_subst_lemma_symbol" expl="VC for associativity_subst_rename_subst_lemma_symbol">
- <proof prover="0" obsolete="true"><result status="valid" time="0.02"/></proof>
- <proof prover="1" obsolete="true"><result status="timeout" time="4.93"/></proof>
- <proof prover="2" obsolete="true"><result status="timeout" time="4.93"/></proof>
+ <proof prover="0"><result status="valid" time="0.02"/></proof>
+ <proof prover="1"><result status="timeout" time="4.93"/></proof>
+ <proof prover="2"><result status="timeout" time="4.93"/></proof>
<proof prover="5"><result status="valid" time="0.02" steps="19"/></proof>
</goal>
<goal name="WP_parameter associativity_subst_subst_rename_lemma_symbol" expl="VC for associativity_subst_subst_rename_lemma_symbol">
- <proof prover="0" obsolete="true"><result status="valid" time="0.02"/></proof>
- <proof prover="1" obsolete="true"><result status="timeout" time="5.02"/></proof>
- <proof prover="2" obsolete="true"><result status="timeout" time="4.98"/></proof>
+ <proof prover="0"><result status="valid" time="0.02"/></proof>
+ <proof prover="1"><result status="timeout" time="5.02"/></proof>
+ <proof prover="2"><result status="timeout" time="4.98"/></proof>
<proof prover="5"><result status="valid" time="0.02" steps="17"/></proof>
</goal>
<goal name="WP_parameter olifts_composition_lemma_subst_subst_symbol" expl="VC for olifts_composition_lemma_subst_subst_symbol">
- <proof prover="0" obsolete="true"><result status="valid" time="0.36"/></proof>
- <proof prover="1" obsolete="true"><result status="timeout" time="4.77"/></proof>
- <proof prover="2" obsolete="true"><result status="timeout" time="4.97"/></proof>
+ <proof prover="0"><result status="valid" time="0.36"/></proof>
+ <proof prover="1"><result status="timeout" time="4.77"/></proof>
+ <proof prover="2"><result status="timeout" time="4.97"/></proof>
<proof prover="5"><result status="valid" time="0.06" steps="236"/></proof>
</goal>
<goal name="WP_parameter subst_composition_lemma_symbol" expl="VC for subst_composition_lemma_symbol">
- <proof prover="0" obsolete="true"><result status="valid" time="0.02"/></proof>
+ <proof prover="0"><result status="valid" time="0.02"/></proof>
<proof prover="1"><result status="valid" time="0.09"/></proof>
<proof prover="5"><result status="valid" time="0.02" steps="5"/></proof>
<proof prover="8"><result status="valid" time="0.12"/></proof>
</goal>
<goal name="WP_parameter associativity_subst_subst_subst_lemma_symbol" expl="VC for associativity_subst_subst_subst_lemma_symbol">
- <proof prover="0" obsolete="true"><result status="valid" time="0.02"/></proof>
- <proof prover="1" obsolete="true"><result status="timeout" time="4.98"/></proof>
- <proof prover="2" obsolete="true"><result status="timeout" time="4.87"/></proof>
+ <proof prover="0"><result status="valid" time="0.02"/></proof>
+ <proof prover="1"><result status="timeout" time="4.98"/></proof>
+ <proof prover="2"><result status="timeout" time="4.87"/></proof>
<proof prover="5"><result status="valid" time="0.02" steps="17"/></proof>
</goal>
<goal name="WP_parameter olifts_identity_symbol" expl="VC for olifts_identity_symbol">
- <proof prover="0" obsolete="true"><result status="valid" time="0.05"/></proof>
- <proof prover="1" obsolete="true"><result status="timeout" time="4.98"/></proof>
- <proof prover="2" obsolete="true"><result status="timeout" time="4.96"/></proof>
+ <proof prover="0"><result status="valid" time="0.05"/></proof>
+ <proof prover="1"><result status="timeout" time="4.98"/></proof>
+ <proof prover="2"><result status="timeout" time="4.96"/></proof>
<proof prover="5"><result status="valid" time="0.05" steps="328"/></proof>
</goal>
<goal name="WP_parameter left_rename_subst_identity_lemma_symbol" expl="VC for left_rename_subst_identity_lemma_symbol">
- <proof prover="0" obsolete="true"><result status="valid" time="0.03"/></proof>
- <proof prover="1" obsolete="true"><result status="timeout" time="4.98"/></proof>
- <proof prover="2" obsolete="true"><result status="timeout" time="4.71"/></proof>
+ <proof prover="0"><result status="valid" time="0.03"/></proof>
+ <proof prover="1"><result status="timeout" time="4.98"/></proof>
+ <proof prover="2"><result status="timeout" time="4.71"/></proof>
<proof prover="5"><result status="valid" time="0.03" steps="30"/></proof>
</goal>
<goal name="WP_parameter subst_identity_lemma_symbol" expl="VC for subst_identity_lemma_symbol">
- <proof prover="0" obsolete="true"><result status="valid" time="0.02"/></proof>
+ <proof prover="0"><result status="valid" time="0.02"/></proof>
<proof prover="1"><result status="valid" time="0.04"/></proof>
<proof prover="5"><result status="valid" time="0.02" steps="8"/></proof>
<proof prover="8"><result status="valid" time="0.06"/></proof>
</goal>
<goal name="WP_parameter left_subst_subst_identity_lemma_symbol" expl="VC for left_subst_subst_identity_lemma_symbol">
- <proof prover="0" obsolete="true"><result status="valid" time="0.03"/></proof>
+ <proof prover="0"><result status="valid" time="0.03"/></proof>
<proof prover="1"><result status="valid" time="0.02"/></proof>
- <proof prover="2" obsolete="true"><result status="timeout" time="4.99"/></proof>
+ <proof prover="2"><result status="timeout" time="4.99"/></proof>
<proof prover="5"><result status="valid" time="0.03" steps="22"/></proof>
</goal>
<goal name="WP_parameter right_subst_subst_by_identity_lemma_symbol" expl="VC for right_subst_subst_by_identity_lemma_symbol">
- <proof prover="0" obsolete="true"><result status="valid" time="0.02"/></proof>
+ <proof prover="0"><result status="valid" time="0.02"/></proof>
<proof prover="1"><result status="valid" time="0.02"/></proof>
- <proof prover="2" obsolete="true"><result status="timeout" time="4.80"/></proof>
+ <proof prover="2"><result status="timeout" time="4.80"/></proof>
<proof prover="5"><result status="valid" time="0.02" steps="18"/></proof>
</goal>
<goal name="WP_parameter renaming_preserve_size_symbol" expl="VC for renaming_preserve_size_symbol">
- <proof prover="0" obsolete="true"><result status="valid" time="0.01"/></proof>
+ <proof prover="0"><result status="valid" time="0.01"/></proof>
<proof prover="1"><result status="valid" time="0.04"/></proof>
<proof prover="5"><result status="valid" time="0.01" steps="10"/></proof>
<proof prover="8"><result status="valid" time="0.06"/></proof>
</goal>
<goal name="WP_parameter rename_free_var_constructive_inversion_symbol_symbol" expl="VC for rename_free_var_constructive_inversion_symbol_symbol">
- <proof prover="0" obsolete="true"><result status="valid" time="0.02"/></proof>
+ <proof prover="0"><result status="valid" time="0.02"/></proof>
<proof prover="1"><result status="valid" time="0.04"/></proof>
<proof prover="5"><result status="valid" time="0.02" steps="4"/></proof>
<proof prover="8"><result status="valid" time="0.04"/></proof>
</goal>
<goal name="WP_parameter rename_free_var_inversion_symbol_symbol" expl="VC for rename_free_var_inversion_symbol_symbol">
- <proof prover="0" obsolete="true"><result status="valid" time="0.01"/></proof>
+ <proof prover="0"><result status="valid" time="0.01"/></proof>
<proof prover="1"><result status="valid" time="0.07"/></proof>
<proof prover="5"><result status="valid" time="0.01" steps="8"/></proof>
<proof prover="8"><result status="valid" time="0.05"/></proof>
</goal>
<goal name="WP_parameter rename_free_var_propagation_symbol_symbol" expl="VC for rename_free_var_propagation_symbol_symbol">
- <proof prover="0" obsolete="true"><result status="valid" time="0.02"/></proof>
+ <proof prover="0"><result status="valid" time="0.02"/></proof>
<proof prover="1"><result status="valid" time="0.04"/></proof>
<proof prover="5"><result status="valid" time="0.02" steps="4"/></proof>
<proof prover="8"><result status="valid" time="0.04"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_constructive_inversion_symbol_symbol" expl="VC for subst_free_var_constructive_inversion_symbol_symbol">
- <proof prover="0" obsolete="true"><result status="valid" time="0.01"/></proof>
+ <proof prover="0"><result status="valid" time="0.01"/></proof>
<proof prover="1"><result status="timeout" time="4.98"/></proof>
<proof prover="5"><result status="valid" time="0.01" steps="5"/></proof>
<proof prover="8"><result status="timeout" time="4.99"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_inversion_symbol_symbol" expl="VC for subst_free_var_inversion_symbol_symbol">
- <proof prover="0" obsolete="true"><result status="timeout" time="4.98"/></proof>
+ <proof prover="0"><result status="timeout" time="4.98"/></proof>
<transf name="split_goal_wp">
<goal name="WP_parameter subst_free_var_inversion_symbol_symbol.1" expl="1. variant decrease">
- <proof prover="0" obsolete="true"><result status="valid" time="0.02"/></proof>
+ <proof prover="0"><result status="valid" time="0.02"/></proof>
<proof prover="1"><result status="valid" time="0.06"/></proof>
<proof prover="5"><result status="valid" time="0.02" steps="7"/></proof>
<proof prover="8"><result status="valid" time="0.07"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_inversion_symbol_symbol.2" expl="2. precondition">
- <proof prover="0" obsolete="true"><result status="valid" time="0.02"/></proof>
+ <proof prover="0"><result status="valid" time="0.02"/></proof>
<proof prover="1"><result status="timeout" time="4.98"/></proof>
<proof prover="5"><result status="valid" time="0.02" steps="5"/></proof>
<proof prover="8"><result status="timeout" time="4.99"/></proof>
</goal>
<goal name="WP_parameter subst_free_var_inversion_symbol_symbol.3" expl="3. postcondition">
- <proof prover="0" obsolete="true"><result status="timeout" time="5.01"/></proof>
+ <proof prover="0"><result status="timeout" time="5.01"/></proof>
<proof prover="1"><result status="timeout" time="4.99"/></proof>
- <proof prover="2" obsolete="true"><result status="timeout" time="5.10"/></proof>
- <proof prover="4" obsolete="true"><result status="valid" time="0.09"/></proof>
+ <proof prover="2"><result status="timeout" time="5.10"/></proof>
+ <proof prover="4"><result status="valid" time="0.09"/></proof>
<proof prover="6"><result status="valid" time="0.09"/></proof>
<proof prover="7"><result status="valid" time="0.02"/></proof>
</goal>
</transf>
</goal>
<goal name="WP_parameter subst_free_var_propagation_symbol_symbol_symbol" expl="VC for subst_free_var_propagation_symbol_symbol_symbol">
- <proof prover="0" obsolete="true"><result status="valid" time="0.02"/></proof>
+ <proof prover="0"><result status="valid" time="0.02"/></proof>
<proof prover="1"><result status="timeout" time="4.98"/></proof>
<proof prover="5"><result status="valid" time="0.02" steps="6"/></proof>
<proof prover="8"><result status="timeout" time="4.99"/></proof>
</goal>
<goal name="WP_parameter free_var_equivalence_of_subst_symbol" expl="VC for free_var_equivalence_of_subst_symbol">
- <proof prover="0" obsolete="true"><result status="valid" time="0.02"/></proof>
+ <proof prover="0"><result status="valid" time="0.02"/></proof>
<proof prover="1"><result status="valid" time="0.05"/></proof>
<proof prover="5"><result status="valid" time="0.02" steps="4"/></proof>
<proof prover="8"><result status="valid" time="0.06"/></proof>
</goal>
<goal name="WP_parameter free_var_equivalence_of_rename_symbol" expl="VC for free_var_equivalence_of_rename_symbol">
- <proof prover="0" obsolete="true"><result status="valid" time="0.02"/></proof>
+ <proof prover="0"><result status="valid" time="0.02"/></proof>
<proof prover="1"><result status="timeout" time="4.99"/></proof>
<proof prover="5"><result status="valid" time="0.02" steps="11"/></proof>
<proof prover="8"><result status="timeout" time="4.99"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_subst_symbol" expl="VC for free_var_derive_equivalence_of_subst_symbol">
- <proof prover="0" obsolete="true"><result status="valid" time="0.02"/></proof>
+ <proof prover="0"><result status="valid" time="0.02"/></proof>
<proof prover="1"><result status="valid" time="0.07"/></proof>
<proof prover="5"><result status="valid" time="0.02" steps="5"/></proof>
<proof prover="8"><result status="valid" time="0.06"/></proof>
</goal>
<goal name="WP_parameter free_var_derive_equivalence_of_rename_symbol" expl="VC for free_var_derive_equivalence_of_rename_symbol">
- <proof prover="0" obsolete="true"><result status="valid" time="0.03"/></proof>
+ <proof prover="0"><result status="valid" time="0.03"/></proof>
<proof prover="1"><undone/></proof>
<proof prover="5"><result status="valid" time="0.03" steps="40"/></proof>
<proof prover="8"><undone/></proof>
diff --git a/examples/in_progress/prover/Firstorder_symbol_spec/why3shapes.gz b/examples/in_progress/prover/Firstorder_symbol_spec/why3shapes.gz
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diff --git a/examples/in_progress/prover/Firstorder_tableau_spec/why3session.xml b/examples/in_progress/prover/Firstorder_tableau_spec/why3session.xml
index 56817b0b5c..3bc555482c 100644
--- a/examples/in_progress/prover/Firstorder_tableau_spec/why3session.xml
+++ b/examples/in_progress/prover/Firstorder_tableau_spec/why3session.xml
@@ -1,1179 +1,169 @@
<?xml version="1.0" encoding="UTF-8"?>
-<!DOCTYPE why3session PUBLIC "-//Why3//proof session v2//EN" "http://why3.lri.fr/why3session.dtd">
-<why3session shape_version="3">
- <prover
- id="0"
- name="Alt-Ergo"
- version="0.95.1"/>
- <prover
- id="1"
- name="CVC4"
- version="1.0"/>
- <file
- name="../Firstorder_tableau_spec.mlw"
- verified="true"
- expanded="false">
- <theory
- name="Spec"
- locfile="../Firstorder_tableau_spec.mlw"
- loclnum="1" loccnumb="7" loccnume="11"
- verified="true"
- expanded="false">
- <goal
- name="WP_parameter size_positive_lemma_tableau"
- locfile="../Firstorder_tableau_spec.mlw"
- loclnum="32" loccnumb="16" loccnume="43"
- expl="VC for size_positive_lemma_tableau"
- sum="2957465bceee3b9f9006d78877980807"
- proved="true"
- expanded="false"
- shape="Cainfix >asize_tableauV0c0aRootainfix >asize_tableauV0c0Iainfix >asize_fo_formula_listV3c0Iainfix >asize_fo_formulaV2c0Iainfix >asize_tableauV1c0Aainfix <anat_to_intanat_size_tableauV1anat_to_intanat_size_tableauV0Aainfix <=c0anat_to_intanat_size_tableauV0aNodeVVVV0F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for size_positive_lemma_tableau"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.16"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter renaming_composition_lemma_tableau"
- locfile="../Firstorder_tableau_spec.mlw"
- loclnum="49" loccnumb="16" loccnume="50"
- expl="VC for renaming_composition_lemma_tableau"
- sum="1efb8faa62d97ed8d42921a6c0e3e4d0"
- proved="true"
- expanded="false"
- shape="Cainfix =arename_tableauarename_tableauV0V1V2V3V4arename_tableauV0arcomposeV1V3arcomposeV2V4aRootainfix =arename_tableauarename_tableauV0V1V2V3V4arename_tableauV0arcomposeV1V3arcomposeV2V4Iainfix =arename_fo_formula_listarename_fo_formula_listV7V1V2V3V4arename_fo_formula_listV7arcomposeV1V3arcomposeV2V4Iainfix =arename_fo_formulaarename_fo_formulaV6V1V2V3V4arename_fo_formulaV6arcomposeV1V3arcomposeV2V4Iainfix =arename_tableauarename_tableauV5V1V2V3V4arename_tableauV5arcomposeV1V3arcomposeV2V4Aainfix <asize_tableauV5asize_tableauV0Aainfix <=c0asize_tableauV0aNodeVVVV0F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for renaming_composition_lemma_tableau"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.15"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter renaming_identity_lemma_tableau"
- locfile="../Firstorder_tableau_spec.mlw"
- loclnum="62" loccnumb="16" loccnume="47"
- expl="VC for renaming_identity_lemma_tableau"
- sum="4df7df01ce417ef575c129eb763ca945"
- proved="true"
- expanded="false"
- shape="Cainfix =arename_tableauV0aidentityaidentityV0aRootainfix =arename_tableauV0aidentityaidentityV0Iainfix =arename_fo_formula_listV3aidentityaidentityV3Iainfix =arename_fo_formulaV2aidentityaidentityV2Iainfix =arename_tableauV1aidentityaidentityV1Aainfix <asize_tableauV1asize_tableauV0Aainfix <=c0asize_tableauV0aNodeVVVV0F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for renaming_identity_lemma_tableau"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.10"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter rename_then_subst_composition_lemma_tableau"
- locfile="../Firstorder_tableau_spec.mlw"
- loclnum="85" loccnumb="16" loccnume="59"
- expl="VC for rename_then_subst_composition_lemma_tableau"
- sum="d948eb1505d9dba6c30a1f6498bb69a6"
- proved="true"
- expanded="false"
- shape="Cainfix =asubst_tableauarename_tableauV0V1V2V3V4asubst_tableauV0arcomposeV1V3arcomposeV2V4aRootainfix =asubst_tableauarename_tableauV0V1V2V3V4asubst_tableauV0arcomposeV1V3arcomposeV2V4Iainfix =asubst_fo_formula_listarename_fo_formula_listV7V1V2V13V12asubst_fo_formula_listV7arcomposeV1V13arcomposeV2V12Larename_subst_symbolV3aidentityLarename_subst_fo_termV4aidentityaidentityIainfix =asubst_fo_formulaarename_fo_formulaV6V1V2V11V10asubst_fo_formulaV6arcomposeV1V11arcomposeV2V10Larename_subst_symbolV3aidentityLarename_subst_fo_termV4aidentityaidentityIainfix =asubst_tableauarename_tableauV5V1V2V9V8asubst_tableauV5arcomposeV1V9arcomposeV2V8Aainfix <asize_tableauV5asize_tableauV0Aainfix <=c0asize_tableauV0Larename_subst_symbolV3aidentityLarename_subst_fo_termV4aidentityaidentityaNodeVVVV0F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for rename_then_subst_composition_lemma_tableau"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="1.90"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_then_rename_composition_lemma_tableau"
- locfile="../Firstorder_tableau_spec.mlw"
- loclnum="104" loccnumb="16" loccnume="59"
- expl="VC for subst_then_rename_composition_lemma_tableau"
- sum="d460a42d242c4723625b739a3405db39"
- proved="true"
- expanded="false"
- shape="Cainfix =arename_tableauasubst_tableauV0V1V2V3V4asubst_tableauV0arename_subst_symbolV1V3arename_subst_fo_termV2V3V4aRootainfix =arename_tableauasubst_tableauV0V1V2V3V4asubst_tableauV0arename_subst_symbolV1V3arename_subst_fo_termV2V3V4Iainfix =arename_fo_formula_listasubst_fo_formula_listV7V13V12V3V4asubst_fo_formula_listV7arename_subst_symbolV13V3arename_subst_fo_termV12V3V4Larename_subst_symbolV1aidentityLarename_subst_fo_termV2aidentityaidentityIainfix =arename_fo_formulaasubst_fo_formulaV6V11V10V3V4asubst_fo_formulaV6arename_subst_symbolV11V3arename_subst_fo_termV10V3V4Larename_subst_symbolV1aidentityLarename_subst_fo_termV2aidentityaidentityIainfix =arename_tableauasubst_tableauV5V9V8V3V4asubst_tableauV5arename_subst_symbolV9V3arename_subst_fo_termV8V3V4Aainfix <asize_tableauV5asize_tableauV0Aainfix <=c0asize_tableauV0Larename_subst_symbolV1aidentityLarename_subst_fo_termV2aidentityaidentityaNodeVVVV0F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_then_rename_composition_lemma_tableau"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.68"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_composition_lemma_tableau"
- locfile="../Firstorder_tableau_spec.mlw"
- loclnum="126" loccnumb="16" loccnume="47"
- expl="VC for subst_composition_lemma_tableau"
- sum="e56fa6086762e10739db1428b9c515b0"
- proved="true"
- expanded="false"
- shape="Cainfix =asubst_tableauasubst_tableauV0V1V2V3V4asubst_tableauV0asubst_compose_symbolV1V3asubst_compose_fo_termV2V3V4aRootainfix =asubst_tableauasubst_tableauV0V1V2V3V4asubst_tableauV0asubst_compose_symbolV1V3asubst_compose_fo_termV2V3V4Iainfix =asubst_fo_formula_listasubst_fo_formula_listV7V19V18V17V16asubst_fo_formula_listV7asubst_compose_symbolV19V17asubst_compose_fo_termV18V17V16Larename_subst_symbolV1aidentityLarename_subst_fo_termV2aidentityaidentityLarename_subst_symbolV3aidentityLarename_subst_fo_termV4aidentityaidentityIainfix =asubst_fo_formulaasubst_fo_formulaV6V15V14V13V12asubst_fo_formulaV6asubst_compose_symbolV15V13asubst_compose_fo_termV14V13V12Larename_subst_symbolV1aidentityLarename_subst_fo_termV2aidentityaidentityLarename_subst_symbolV3aidentityLarename_subst_fo_termV4aidentityaidentityIainfix =asubst_tableauasubst_tableauV5V11V10V9V8asubst_tableauV5asubst_compose_symbolV11V9asubst_compose_fo_termV10V9V8Aainfix <asize_tableauV5asize_tableauV0Aainfix <=c0asize_tableauV0Larename_subst_symbolV1aidentityLarename_subst_fo_termV2aidentityaidentityLarename_subst_symbolV3aidentityLarename_subst_fo_termV4aidentityaidentityaNodeVVVV0F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_composition_lemma_tableau"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="timeout" time="4.60"/>
- </proof>
- <transf
- name="split_goal_wp"
- proved="true"
- expanded="false">
- <goal
- name="WP_parameter subst_composition_lemma_tableau.1"
- locfile="../Firstorder_tableau_spec.mlw"
- loclnum="126" loccnumb="16" loccnume="47"
- expl="1. postcondition"
- sum="8664bf15ed12c7e89b39d401c3d37572"
- proved="true"
- expanded="false"
- shape="postconditionCainfix =asubst_tableauasubst_tableauV0V1V2V3V4asubst_tableauV0asubst_compose_symbolV1V3asubst_compose_fo_termV2V3V4aRoottaNodeVVVV0F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_composition_lemma_tableau"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.09"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_composition_lemma_tableau.2"
- locfile="../Firstorder_tableau_spec.mlw"
- loclnum="126" loccnumb="16" loccnume="47"
- expl="2. variant decrease"
- sum="9da6c6f8fc82cdcb32e2b53b2bddb235"
- proved="true"
- expanded="false"
- shape="variant decreaseCtaRootainfix <asize_tableauV5asize_tableauV0Aainfix <=c0asize_tableauV0Larename_subst_symbolV1aidentityLarename_subst_fo_termV2aidentityaidentityLarename_subst_symbolV3aidentityLarename_subst_fo_termV4aidentityaidentityaNodeVVVV0F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_composition_lemma_tableau"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.10"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_composition_lemma_tableau.3"
- locfile="../Firstorder_tableau_spec.mlw"
- loclnum="126" loccnumb="16" loccnume="47"
- expl="3. postcondition"
- sum="237a1c49d62b215cfd67206c54be4f9b"
- proved="true"
- expanded="false"
- shape="postconditionCtaRootainfix =asubst_tableauasubst_tableauV0V1V2V3V4asubst_tableauV0asubst_compose_symbolV1V3asubst_compose_fo_termV2V3V4Iainfix =asubst_fo_formula_listasubst_fo_formula_listV7V19V18V17V16asubst_fo_formula_listV7asubst_compose_symbolV19V17asubst_compose_fo_termV18V17V16Larename_subst_symbolV1aidentityLarename_subst_fo_termV2aidentityaidentityLarename_subst_symbolV3aidentityLarename_subst_fo_termV4aidentityaidentityIainfix =asubst_fo_formulaasubst_fo_formulaV6V15V14V13V12asubst_fo_formulaV6asubst_compose_symbolV15V13asubst_compose_fo_termV14V13V12Larename_subst_symbolV1aidentityLarename_subst_fo_termV2aidentityaidentityLarename_subst_symbolV3aidentityLarename_subst_fo_termV4aidentityaidentityIainfix =asubst_tableauasubst_tableauV5V11V10V9V8asubst_tableauV5asubst_compose_symbolV11V9asubst_compose_fo_termV10V9V8Larename_subst_symbolV1aidentityLarename_subst_fo_termV2aidentityaidentityLarename_subst_symbolV3aidentityLarename_subst_fo_termV4aidentityaidentityaNodeVVVV0F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_composition_lemma_tableau"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.11"/>
- </proof>
- </goal>
- </transf>
- </goal>
- <goal
- name="WP_parameter subst_identity_lemma_tableau"
- locfile="../Firstorder_tableau_spec.mlw"
- loclnum="152" loccnumb="16" loccnume="44"
- expl="VC for subst_identity_lemma_tableau"
- sum="babb95ce7ac0236962e8d91d76a57530"
- proved="true"
- expanded="false"
- shape="Cainfix =asubst_tableauV0asubst_id_symbolasubst_id_fo_termV0aRootainfix =asubst_tableauV0asubst_id_symbolasubst_id_fo_termV0Iainfix =asubst_fo_formula_listV3asubst_id_symbolasubst_id_fo_termV3Iainfix =asubst_fo_formulaV2asubst_id_symbolasubst_id_fo_termV2Iainfix =asubst_tableauV1asubst_id_symbolasubst_id_fo_termV1Aainfix <asize_tableauV1asize_tableauV0Aainfix <=c0asize_tableauV0aNodeVVVV0F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_identity_lemma_tableau"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.20"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter renaming_preserve_size_tableau"
- locfile="../Firstorder_tableau_spec.mlw"
- loclnum="161" loccnumb="16" loccnume="46"
- expl="VC for renaming_preserve_size_tableau"
- sum="834f3dc1532b6abf9133a212c5bcedca"
- proved="true"
- expanded="false"
- shape="Cainfix =asize_tableauarename_tableauV0V1V2asize_tableauV0aRootainfix =asize_tableauarename_tableauV0V1V2asize_tableauV0Iainfix =asize_fo_formula_listarename_fo_formula_listV5V1V2asize_fo_formula_listV5Iainfix =asize_fo_formulaarename_fo_formulaV4V1V2asize_fo_formulaV4Iainfix =asize_tableauarename_tableauV3V1V2asize_tableauV3Aainfix <asize_tableauV3asize_tableauV0Aainfix <=c0asize_tableauV0aNodeVVVV0F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for renaming_preserve_size_tableau"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.14"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter rename_free_var_constructive_inversion_symbol_tableau"
- locfile="../Firstorder_tableau_spec.mlw"
- loclnum="188" loccnumb="16" loccnume="69"
- expl="VC for rename_free_var_constructive_inversion_symbol_tableau"
- sum="60957aca0b8329e3f8cba5666318331c"
- proved="true"
- expanded="false"
- shape="CfaRootiiifainfix =ainfix @!V2V7V0Aais_symbol_free_var_in_tableauV7V1Iainfix =ainfix @!V2V7V0Aais_symbol_free_var_in_fo_formula_listV7V6FAais_symbol_free_var_in_fo_formula_listV0arename_fo_formula_listV6V2V3ais_symbol_free_var_in_fo_formula_listV0arename_fo_formula_listV6V2V3ainfix =ainfix @!V2V8V0Aais_symbol_free_var_in_tableauV8V1Iainfix =ainfix @!V2V8V0Aais_symbol_free_var_in_fo_formulaV8V5FAais_symbol_free_var_in_fo_formulaV0arename_fo_formulaV5V2V3ais_symbol_free_var_in_fo_formulaV0arename_fo_formulaV5V2V3ainfix =ainfix @!V2V9V0Aais_symbol_free_var_in_tableauV9V1Iainfix =ainfix @!V2V9V0Aais_symbol_free_var_in_tableauV9V4FAais_symbol_free_var_in_tableauV0arename_tableauV4V2V3Aainfix <asize_tableauV4asize_tableauV1Aainfix <=c0asize_tableauV1ais_symbol_free_var_in_tableauV0arename_tableauV4V2V3aNodeVVVV1Iais_symbol_free_var_in_tableauV0arename_tableauV1V2V3F">
- <label
- name="expl:VC for rename_free_var_constructive_inversion_symbol_tableau"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.19"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter rename_free_var_inversion_symbol_tableau"
- locfile="../Firstorder_tableau_spec.mlw"
- loclnum="220" loccnumb="13" loccnume="53"
- expl="VC for rename_free_var_inversion_symbol_tableau"
- sum="7189a5ab7aaa67ece0e012ebc7037a16"
- proved="true"
- expanded="false"
- shape="ainfix =ainfix @!V2V5V0Aais_symbol_free_var_in_tableauV5V1EIainfix =ainfix @!V2V4V0Aais_symbol_free_var_in_tableauV4V1FAais_symbol_free_var_in_tableauV0arename_tableauV1V2V3Aainfix <asize_tableauV1ainfix +c1asize_tableauV1Aainfix <=c0ainfix +c1asize_tableauV1Iais_symbol_free_var_in_tableauV0arename_tableauV1V2V3F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for rename_free_var_inversion_symbol_tableau"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.10"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter rename_free_var_constructive_inversion_fo_term_tableau"
- locfile="../Firstorder_tableau_spec.mlw"
- loclnum="229" loccnumb="13" loccnume="67"
- expl="VC for rename_free_var_constructive_inversion_fo_term_tableau"
- sum="140d87a612e85e9f6e6b9d58d641f9bc"
- proved="true"
- expanded="false"
- shape="CfaRootiiifainfix =ainfix @!V3V7V0Aais_fo_term_free_var_in_tableauV7V1Iainfix =ainfix @!V3V7V0Aais_fo_term_free_var_in_fo_formula_listV7V6FAais_fo_term_free_var_in_fo_formula_listV0arename_fo_formula_listV6V2V3ais_fo_term_free_var_in_fo_formula_listV0arename_fo_formula_listV6V2V3ainfix =ainfix @!V3V8V0Aais_fo_term_free_var_in_tableauV8V1Iainfix =ainfix @!V3V8V0Aais_fo_term_free_var_in_fo_formulaV8V5FAais_fo_term_free_var_in_fo_formulaV0arename_fo_formulaV5V2V3ais_fo_term_free_var_in_fo_formulaV0arename_fo_formulaV5V2V3ainfix =ainfix @!V3V9V0Aais_fo_term_free_var_in_tableauV9V1Iainfix =ainfix @!V3V9V0Aais_fo_term_free_var_in_tableauV9V4FAais_fo_term_free_var_in_tableauV0arename_tableauV4V2V3Aainfix <asize_tableauV4asize_tableauV1Aainfix <=c0asize_tableauV1ais_fo_term_free_var_in_tableauV0arename_tableauV4V2V3aNodeVVVV1Iais_fo_term_free_var_in_tableauV0arename_tableauV1V2V3F">
- <label
- name="expl:VC for rename_free_var_constructive_inversion_fo_term_tableau"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.17"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter rename_free_var_inversion_fo_term_tableau"
- locfile="../Firstorder_tableau_spec.mlw"
- loclnum="261" loccnumb="13" loccnume="54"
- expl="VC for rename_free_var_inversion_fo_term_tableau"
- sum="f6e3dee129c6aaa09bdc91b19e4c4447"
- proved="true"
- expanded="false"
- shape="ainfix =ainfix @!V3V5V0Aais_fo_term_free_var_in_tableauV5V1EIainfix =ainfix @!V3V4V0Aais_fo_term_free_var_in_tableauV4V1FAais_fo_term_free_var_in_tableauV0arename_tableauV1V2V3Aainfix <asize_tableauV1ainfix +c1asize_tableauV1Aainfix <=c0ainfix +c1asize_tableauV1Iais_fo_term_free_var_in_tableauV0arename_tableauV1V2V3F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for rename_free_var_inversion_fo_term_tableau"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.10"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter rename_free_var_propagation_symbol_tableau"
- locfile="../Firstorder_tableau_spec.mlw"
- loclnum="270" loccnumb="16" loccnume="58"
- expl="VC for rename_free_var_propagation_symbol_tableau"
- sum="10200d9c4d188dc89baa9f2f2abba1c2"
- proved="true"
- expanded="false"
- shape="Cais_symbol_free_var_in_tableauainfix @!V2V0arename_tableauV1V2V3Iais_symbol_free_var_in_tableauV0V1aRootais_symbol_free_var_in_tableauainfix @!V2V0arename_tableauV1V2V3Iais_symbol_free_var_in_tableauV0V1Iais_symbol_free_var_in_fo_formula_listainfix @!V2V0arename_fo_formula_listV6V2V3Iais_symbol_free_var_in_fo_formula_listV0V6Iais_symbol_free_var_in_fo_formulaainfix @!V2V0arename_fo_formulaV5V2V3Iais_symbol_free_var_in_fo_formulaV0V5Iais_symbol_free_var_in_tableauainfix @!V2V0arename_tableauV4V2V3Iais_symbol_free_var_in_tableauV0V4Aainfix <asize_tableauV4asize_tableauV1Aainfix <=c0asize_tableauV1aNodeVVVV1F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for rename_free_var_propagation_symbol_tableau"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.23"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter rename_free_var_propagation_fo_term_tableau"
- locfile="../Firstorder_tableau_spec.mlw"
- loclnum="283" loccnumb="13" loccnume="56"
- expl="VC for rename_free_var_propagation_fo_term_tableau"
- sum="c18faab219b6330e69cb24d34b37ecb3"
- proved="true"
- expanded="false"
- shape="Cais_fo_term_free_var_in_tableauainfix @!V3V0arename_tableauV1V2V3Iais_fo_term_free_var_in_tableauV0V1aRootais_fo_term_free_var_in_tableauainfix @!V3V0arename_tableauV1V2V3Iais_fo_term_free_var_in_tableauV0V1Iais_fo_term_free_var_in_fo_formula_listainfix @!V3V0arename_fo_formula_listV6V2V3Iais_fo_term_free_var_in_fo_formula_listV0V6Iais_fo_term_free_var_in_fo_formulaainfix @!V3V0arename_fo_formulaV5V2V3Iais_fo_term_free_var_in_fo_formulaV0V5Iais_fo_term_free_var_in_tableauainfix @!V3V0arename_tableauV4V2V3Iais_fo_term_free_var_in_tableauV0V4Aainfix <asize_tableauV4asize_tableauV1Aainfix <=c0asize_tableauV1aNodeVVVV1F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for rename_free_var_propagation_fo_term_tableau"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.22"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_free_var_constructive_inversion_symbol_tableau"
- locfile="../Firstorder_tableau_spec.mlw"
- loclnum="296" loccnumb="16" loccnume="68"
- expl="VC for subst_free_var_constructive_inversion_symbol_tableau"
- sum="d4914afa90818759e25c189e0454ae4f"
- proved="true"
- expanded="false"
- shape="CfaRootiiifCCainfix =V14V0aVar_symbolVainfix @!V2V10Aais_symbol_free_var_in_tableauV10V1Aainfix =V13V0Iainfix =ainfix @!V11V13V0ACainfix =V15V13aVar_symbolVV12FACainfix =ainfix @!V11V16V0aVar_symbolVV12Lainfix @!V2V10LaidentityaLeftVais_symbol_free_var_in_fo_termV0ainfix @!V3V17Aais_fo_term_free_var_in_tableauV17V1Aainfix =V20V0Iainfix =ainfix @!V18V20V0Aais_symbol_free_var_in_fo_termV20V19FAais_symbol_free_var_in_fo_termV0arename_fo_termV19V18aidentityLainfix @!V3V17LaidentityaRightVV9ICCainfix =V22V0aVar_symbolVainfix @!V8V21Aais_symbol_free_var_in_fo_formula_listV21V6aLeftVais_symbol_free_var_in_fo_termV0ainfix @!V7V23Aais_fo_term_free_var_in_fo_formula_listV23V6aRightVV9FAais_symbol_free_var_in_fo_formula_listV0asubst_fo_formula_listV6V8V7Larename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityais_symbol_free_var_in_fo_formula_listV0asubst_fo_formula_listV6arename_subst_symbolV2aidentityarename_subst_fo_termV3aidentityaidentityCCainfix =V31V0aVar_symbolVainfix @!V2V27Aais_symbol_free_var_in_tableauV27V1Aainfix =V30V0Iainfix =ainfix @!V28V30V0ACainfix =V32V30aVar_symbolVV29FACainfix =ainfix @!V28V33V0aVar_symbolVV29Lainfix @!V2V27LaidentityaLeftVais_symbol_free_var_in_fo_termV0ainfix @!V3V34Aais_fo_term_free_var_in_tableauV34V1Aainfix =V37V0Iainfix =ainfix @!V35V37V0Aais_symbol_free_var_in_fo_termV37V36FAais_symbol_free_var_in_fo_termV0arename_fo_termV36V35aidentityLainfix @!V3V34LaidentityaRightVV26ICCainfix =V39V0aVar_symbolVainfix @!V25V38Aais_symbol_free_var_in_fo_formulaV38V5aLeftVais_symbol_free_var_in_fo_termV0ainfix @!V24V40Aais_fo_term_free_var_in_fo_formulaV40V5aRightVV26FAais_symbol_free_var_in_fo_formulaV0asubst_fo_formulaV5V25V24Larename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityais_symbol_free_var_in_fo_formulaV0asubst_fo_formulaV5arename_subst_symbolV2aidentityarename_subst_fo_termV3aidentityaidentityCCainfix =V48V0aVar_symbolVainfix @!V2V44Aais_symbol_free_var_in_tableauV44V1Aainfix =V47V0Iainfix =ainfix @!V45V47V0ACainfix =V49V47aVar_symbolVV46FACainfix =ainfix @!V45V50V0aVar_symbolVV46Lainfix @!V2V44LaidentityaLeftVais_symbol_free_var_in_fo_termV0ainfix @!V3V51Aais_fo_term_free_var_in_tableauV51V1Aainfix =V54V0Iainfix =ainfix @!V52V54V0Aais_symbol_free_var_in_fo_termV54V53FAais_symbol_free_var_in_fo_termV0arename_fo_termV53V52aidentityLainfix @!V3V51LaidentityaRightVV43ICCainfix =V56V0aVar_symbolVainfix @!V42V55Aais_symbol_free_var_in_tableauV55V4aLeftVais_symbol_free_var_in_fo_termV0ainfix @!V41V57Aais_fo_term_free_var_in_tableauV57V4aRightVV43FAais_symbol_free_var_in_tableauV0asubst_tableauV4V42V41Aainfix <asize_tableauV4asize_tableauV1Aainfix <=c0asize_tableauV1Larename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityais_symbol_free_var_in_tableauV0asubst_tableauV4arename_subst_symbolV2aidentityarename_subst_fo_termV3aidentityaidentityaNodeVVVV1Iais_symbol_free_var_in_tableauV0asubst_tableauV1V2V3F">
- <label
- name="expl:VC for subst_free_var_constructive_inversion_symbol_tableau"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.61"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_free_var_inversion_symbol_tableau"
- locfile="../Firstorder_tableau_spec.mlw"
- loclnum="380" loccnumb="13" loccnume="52"
- expl="VC for subst_free_var_inversion_symbol_tableau"
- sum="d8dfa31cc20aab784143ed319a7154d9"
- proved="true"
- expanded="false"
- shape="Cais_symbol_free_var_in_fo_termV0ainfix @!V3V6Aais_fo_term_free_var_in_tableauV6V1EOCainfix =V8V0aVar_symbolVainfix @!V2V7Aais_symbol_free_var_in_tableauV7V1EaLeftVais_symbol_free_var_in_fo_termV0ainfix @!V3V10Aais_fo_term_free_var_in_tableauV10V1EOCainfix =V12V0aVar_symbolVainfix @!V2V11Aais_symbol_free_var_in_tableauV11V1EaRightVV4ICCainfix =V14V0aVar_symbolVainfix @!V2V13Aais_symbol_free_var_in_tableauV13V1aLeftVais_symbol_free_var_in_fo_termV0ainfix @!V3V15Aais_fo_term_free_var_in_tableauV15V1aRightVV4FAais_symbol_free_var_in_tableauV0asubst_tableauV1V2V3Aainfix <asize_tableauV1ainfix +c1asize_tableauV1Aainfix <=c0ainfix +c1asize_tableauV1Iais_symbol_free_var_in_tableauV0asubst_tableauV1V2V3F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_free_var_inversion_symbol_tableau"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.12"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_free_var_constructive_inversion_fo_term_tableau"
- locfile="../Firstorder_tableau_spec.mlw"
- loclnum="395" loccnumb="13" loccnume="66"
- expl="VC for subst_free_var_constructive_inversion_fo_term_tableau"
- sum="11bdc22175266ea9bf2c9c8d02ceaffc"
- proved="true"
- expanded="false"
- shape="CfaRootiiifais_fo_term_free_var_in_fo_termV0ainfix @!V3V8Aais_fo_term_free_var_in_tableauV8V1Aainfix =V11V0Iainfix =ainfix @!V9V11V0Aais_fo_term_free_var_in_fo_termV11V10FAais_fo_term_free_var_in_fo_termV0arename_fo_termV10aidentityV9Lainfix @!V3V8LaidentityIais_fo_term_free_var_in_fo_termV0ainfix @!V7V8Aais_fo_term_free_var_in_fo_formula_listV8V6FAais_fo_term_free_var_in_fo_formula_listV0asubst_fo_formula_listV6arename_subst_symbolV2aidentityV7Larename_subst_fo_termV3aidentityaidentityais_fo_term_free_var_in_fo_formula_listV0asubst_fo_formula_listV6arename_subst_symbolV2aidentityarename_subst_fo_termV3aidentityaidentityais_fo_term_free_var_in_fo_termV0ainfix @!V3V13Aais_fo_term_free_var_in_tableauV13V1Aainfix =V16V0Iainfix =ainfix @!V14V16V0Aais_fo_term_free_var_in_fo_termV16V15FAais_fo_term_free_var_in_fo_termV0arename_fo_termV15aidentityV14Lainfix @!V3V13LaidentityIais_fo_term_free_var_in_fo_termV0ainfix @!V12V13Aais_fo_term_free_var_in_fo_formulaV13V5FAais_fo_term_free_var_in_fo_formulaV0asubst_fo_formulaV5arename_subst_symbolV2aidentityV12Larename_subst_fo_termV3aidentityaidentityais_fo_term_free_var_in_fo_formulaV0asubst_fo_formulaV5arename_subst_symbolV2aidentityarename_subst_fo_termV3aidentityaidentityais_fo_term_free_var_in_fo_termV0ainfix @!V3V18Aais_fo_term_free_var_in_tableauV18V1Aainfix =V21V0Iainfix =ainfix @!V19V21V0Aais_fo_term_free_var_in_fo_termV21V20FAais_fo_term_free_var_in_fo_termV0arename_fo_termV20aidentityV19Lainfix @!V3V18LaidentityIais_fo_term_free_var_in_fo_termV0ainfix @!V17V18Aais_fo_term_free_var_in_tableauV18V4FAais_fo_term_free_var_in_tableauV0asubst_tableauV4arename_subst_symbolV2aidentityV17Aainfix <asize_tableauV4asize_tableauV1Aainfix <=c0asize_tableauV1Larename_subst_fo_termV3aidentityaidentityais_fo_term_free_var_in_tableauV0asubst_tableauV4arename_subst_symbolV2aidentityarename_subst_fo_termV3aidentityaidentityaNodeVVVV1Iais_fo_term_free_var_in_tableauV0asubst_tableauV1V2V3F">
- <label
- name="expl:VC for subst_free_var_constructive_inversion_fo_term_tableau"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.42"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_free_var_inversion_fo_term_tableau"
- locfile="../Firstorder_tableau_spec.mlw"
- loclnum="449" loccnumb="13" loccnume="53"
- expl="VC for subst_free_var_inversion_fo_term_tableau"
- sum="abb8cbceca92172cf9b4a0c96cdad7e9"
- proved="true"
- expanded="false"
- shape="ais_fo_term_free_var_in_fo_termV0ainfix @!V3V5Aais_fo_term_free_var_in_tableauV5V1EIais_fo_term_free_var_in_fo_termV0ainfix @!V3V4Aais_fo_term_free_var_in_tableauV4V1FAais_fo_term_free_var_in_tableauV0asubst_tableauV1V2V3Aainfix <asize_tableauV1ainfix +c1asize_tableauV1Aainfix <=c0ainfix +c1asize_tableauV1Iais_fo_term_free_var_in_tableauV0asubst_tableauV1V2V3F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_free_var_inversion_fo_term_tableau"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.08"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_free_var_propagation_symbol_symbol_tableau"
- locfile="../Firstorder_tableau_spec.mlw"
- loclnum="462" loccnumb="16" loccnume="64"
- expl="VC for subst_free_var_propagation_symbol_symbol_tableau"
- sum="81dc2eaa812844d41a6797f5cc5a5c1d"
- proved="true"
- expanded="false"
- shape="Cais_symbol_free_var_in_tableauV1asubst_tableauV2V3V4ICainfix =V5V1aVar_symbolVainfix @!V3V0Aais_symbol_free_var_in_tableauV0V2aRootais_symbol_free_var_in_tableauV1asubst_tableauV2V3V4ICainfix =V18V1aVar_symbolVainfix @!V3V0Aais_symbol_free_var_in_tableauV0V2ACainfix =V19V1aVar_symbolVainfix @!arename_subst_symbolV3aidentityV0ICainfix =V20V1aVar_symbolVainfix @!V3V0ICainfix =ainfix @!V16V21ainfix @!V16V1aVar_symbolVV17ICainfix =V22V1aVar_symbolVV17Lainfix @!V3V0LaidentityIais_symbol_free_var_in_fo_formula_listV1asubst_fo_formula_listV8V15arename_subst_fo_termV4aidentityaidentityICainfix =V23V1aVar_symbolVainfix @!V15V0Aais_symbol_free_var_in_fo_formula_listV0V8Larename_subst_symbolV3aidentityACainfix =V24V1aVar_symbolVainfix @!arename_subst_symbolV3aidentityV0ICainfix =V25V1aVar_symbolVainfix @!V3V0ICainfix =ainfix @!V13V26ainfix @!V13V1aVar_symbolVV14ICainfix =V27V1aVar_symbolVV14Lainfix @!V3V0LaidentityIais_symbol_free_var_in_fo_formulaV1asubst_fo_formulaV7V12arename_subst_fo_termV4aidentityaidentityICainfix =V28V1aVar_symbolVainfix @!V12V0Aais_symbol_free_var_in_fo_formulaV0V7Larename_subst_symbolV3aidentityACainfix =V29V1aVar_symbolVainfix @!arename_subst_symbolV3aidentityV0ICainfix =V30V1aVar_symbolVainfix @!V3V0ICainfix =ainfix @!V10V31ainfix @!V10V1aVar_symbolVV11ICainfix =V32V1aVar_symbolVV11Lainfix @!V3V0LaidentityIais_symbol_free_var_in_tableauV1asubst_tableauV6V9arename_subst_fo_termV4aidentityaidentityICainfix =V33V1aVar_symbolVainfix @!V9V0Aais_symbol_free_var_in_tableauV0V6Aainfix <asize_tableauV6asize_tableauV2Aainfix <=c0asize_tableauV2Larename_subst_symbolV3aidentityaNodeVVVV2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_free_var_propagation_symbol_symbol_tableau"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="timeout" time="4.63"/>
- </proof>
- <transf
- name="split_goal_wp"
- proved="true"
- expanded="false">
- <goal
- name="WP_parameter subst_free_var_propagation_symbol_symbol_tableau.1"
- locfile="../Firstorder_tableau_spec.mlw"
- loclnum="462" loccnumb="16" loccnume="64"
- expl="1. postcondition"
- sum="3e6fb084b25273a53b9228a7655e2375"
- proved="true"
- expanded="false"
- shape="postconditionCais_symbol_free_var_in_tableauV1asubst_tableauV2V3V4ICainfix =V5V1aVar_symbolVainfix @!V3V0Aais_symbol_free_var_in_tableauV0V2aRoottaNodeVVVV2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_free_var_propagation_symbol_symbol_tableau"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.10"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_free_var_propagation_symbol_symbol_tableau.2"
- locfile="../Firstorder_tableau_spec.mlw"
- loclnum="462" loccnumb="16" loccnume="64"
- expl="2. variant decrease"
- sum="c3f4ee9489c3f230ff902fd5bc9eea2c"
- proved="true"
- expanded="false"
- shape="variant decreaseCtaRootainfix <asize_tableauV5asize_tableauV2Aainfix <=c0asize_tableauV2Larename_subst_symbolV3aidentityaNodeVVVV2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_free_var_propagation_symbol_symbol_tableau"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.11"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_free_var_propagation_symbol_symbol_tableau.3"
- locfile="../Firstorder_tableau_spec.mlw"
- loclnum="462" loccnumb="16" loccnume="64"
- expl="3. assertion"
- sum="2bec7feaf369f5c77e849a95d5176039"
- proved="true"
- expanded="false"
- shape="assertionCtaRootCainfix =V11V1aVar_symbolVainfix @!arename_subst_symbolV3aidentityV0ICainfix =V12V1aVar_symbolVainfix @!V3V0ICainfix =ainfix @!V9V13ainfix @!V9V1aVar_symbolVV10ICainfix =V14V1aVar_symbolVV10Lainfix @!V3V0LaidentityIais_symbol_free_var_in_tableauV1asubst_tableauV5V8arename_subst_fo_termV4aidentityaidentityICainfix =V15V1aVar_symbolVainfix @!V8V0Aais_symbol_free_var_in_tableauV0V5Larename_subst_symbolV3aidentityaNodeVVVV2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_free_var_propagation_symbol_symbol_tableau"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.09"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_free_var_propagation_symbol_symbol_tableau.4"
- locfile="../Firstorder_tableau_spec.mlw"
- loclnum="462" loccnumb="16" loccnume="64"
- expl="4. assertion"
- sum="d707c4ff499e31e1f2842197c4527076"
- proved="true"
- expanded="false"
- shape="assertionCtaRootCainfix =V14V1aVar_symbolVainfix @!arename_subst_symbolV3aidentityV0ICainfix =V15V1aVar_symbolVainfix @!V3V0ICainfix =ainfix @!V12V16ainfix @!V12V1aVar_symbolVV13ICainfix =V17V1aVar_symbolVV13Lainfix @!V3V0LaidentityIais_symbol_free_var_in_fo_formulaV1asubst_fo_formulaV6V11arename_subst_fo_termV4aidentityaidentityICainfix =V18V1aVar_symbolVainfix @!V11V0Aais_symbol_free_var_in_fo_formulaV0V6Larename_subst_symbolV3aidentityICainfix =V19V1aVar_symbolVainfix @!arename_subst_symbolV3aidentityV0ICainfix =V20V1aVar_symbolVainfix @!V3V0ICainfix =ainfix @!V9V21ainfix @!V9V1aVar_symbolVV10ICainfix =V22V1aVar_symbolVV10Lainfix @!V3V0LaidentityIais_symbol_free_var_in_tableauV1asubst_tableauV5V8arename_subst_fo_termV4aidentityaidentityICainfix =V23V1aVar_symbolVainfix @!V8V0Aais_symbol_free_var_in_tableauV0V5Larename_subst_symbolV3aidentityaNodeVVVV2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_free_var_propagation_symbol_symbol_tableau"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.10"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_free_var_propagation_symbol_symbol_tableau.5"
- locfile="../Firstorder_tableau_spec.mlw"
- loclnum="462" loccnumb="16" loccnume="64"
- expl="5. assertion"
- sum="6a8e6ddaca753c5ff7ea3b7965f9d749"
- proved="true"
- expanded="false"
- shape="assertionCtaRootCainfix =V17V1aVar_symbolVainfix @!arename_subst_symbolV3aidentityV0ICainfix =V18V1aVar_symbolVainfix @!V3V0ICainfix =ainfix @!V15V19ainfix @!V15V1aVar_symbolVV16ICainfix =V20V1aVar_symbolVV16Lainfix @!V3V0LaidentityIais_symbol_free_var_in_fo_formula_listV1asubst_fo_formula_listV7V14arename_subst_fo_termV4aidentityaidentityICainfix =V21V1aVar_symbolVainfix @!V14V0Aais_symbol_free_var_in_fo_formula_listV0V7Larename_subst_symbolV3aidentityICainfix =V22V1aVar_symbolVainfix @!arename_subst_symbolV3aidentityV0ICainfix =V23V1aVar_symbolVainfix @!V3V0ICainfix =ainfix @!V12V24ainfix @!V12V1aVar_symbolVV13ICainfix =V25V1aVar_symbolVV13Lainfix @!V3V0LaidentityIais_symbol_free_var_in_fo_formulaV1asubst_fo_formulaV6V11arename_subst_fo_termV4aidentityaidentityICainfix =V26V1aVar_symbolVainfix @!V11V0Aais_symbol_free_var_in_fo_formulaV0V6Larename_subst_symbolV3aidentityICainfix =V27V1aVar_symbolVainfix @!arename_subst_symbolV3aidentityV0ICainfix =V28V1aVar_symbolVainfix @!V3V0ICainfix =ainfix @!V9V29ainfix @!V9V1aVar_symbolVV10ICainfix =V30V1aVar_symbolVV10Lainfix @!V3V0LaidentityIais_symbol_free_var_in_tableauV1asubst_tableauV5V8arename_subst_fo_termV4aidentityaidentityICainfix =V31V1aVar_symbolVainfix @!V8V0Aais_symbol_free_var_in_tableauV0V5Larename_subst_symbolV3aidentityaNodeVVVV2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_free_var_propagation_symbol_symbol_tableau"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.08"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_free_var_propagation_symbol_symbol_tableau.6"
- locfile="../Firstorder_tableau_spec.mlw"
- loclnum="462" loccnumb="16" loccnume="64"
- expl="6. postcondition"
- sum="1c9a124353fdd6660c82df9775979967"
- proved="true"
- expanded="false"
- shape="postconditionCtaRootais_symbol_free_var_in_tableauV1asubst_tableauV2V3V4ICainfix =V17V1aVar_symbolVainfix @!V3V0Aais_symbol_free_var_in_tableauV0V2ICainfix =V18V1aVar_symbolVainfix @!arename_subst_symbolV3aidentityV0ICainfix =V19V1aVar_symbolVainfix @!V3V0ICainfix =ainfix @!V15V20ainfix @!V15V1aVar_symbolVV16ICainfix =V21V1aVar_symbolVV16Lainfix @!V3V0LaidentityIais_symbol_free_var_in_fo_formula_listV1asubst_fo_formula_listV7V14arename_subst_fo_termV4aidentityaidentityICainfix =V22V1aVar_symbolVainfix @!V14V0Aais_symbol_free_var_in_fo_formula_listV0V7Larename_subst_symbolV3aidentityICainfix =V23V1aVar_symbolVainfix @!arename_subst_symbolV3aidentityV0ICainfix =V24V1aVar_symbolVainfix @!V3V0ICainfix =ainfix @!V12V25ainfix @!V12V1aVar_symbolVV13ICainfix =V26V1aVar_symbolVV13Lainfix @!V3V0LaidentityIais_symbol_free_var_in_fo_formulaV1asubst_fo_formulaV6V11arename_subst_fo_termV4aidentityaidentityICainfix =V27V1aVar_symbolVainfix @!V11V0Aais_symbol_free_var_in_fo_formulaV0V6Larename_subst_symbolV3aidentityICainfix =V28V1aVar_symbolVainfix @!arename_subst_symbolV3aidentityV0ICainfix =V29V1aVar_symbolVainfix @!V3V0ICainfix =ainfix @!V9V30ainfix @!V9V1aVar_symbolVV10ICainfix =V31V1aVar_symbolVV10Lainfix @!V3V0LaidentityIais_symbol_free_var_in_tableauV1asubst_tableauV5V8arename_subst_fo_termV4aidentityaidentityICainfix =V32V1aVar_symbolVainfix @!V8V0Aais_symbol_free_var_in_tableauV0V5Larename_subst_symbolV3aidentityaNodeVVVV2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_free_var_propagation_symbol_symbol_tableau"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.18"/>
- </proof>
- </goal>
- </transf>
- </goal>
- <goal
- name="WP_parameter subst_free_var_propagation_fo_term_symbol_tableau"
- locfile="../Firstorder_tableau_spec.mlw"
- loclnum="499" loccnumb="13" loccnume="62"
- expl="VC for subst_free_var_propagation_fo_term_symbol_tableau"
- sum="cc9caada67359dec5eae6216073e5ed0"
- proved="true"
- expanded="false"
- shape="Cais_symbol_free_var_in_tableauV1asubst_tableauV2V3V4Iais_symbol_free_var_in_fo_termV1ainfix @!V4V0Aais_fo_term_free_var_in_tableauV0V2aRootais_symbol_free_var_in_tableauV1asubst_tableauV2V3V4Iais_symbol_free_var_in_fo_termV1ainfix @!V4V0Aais_fo_term_free_var_in_tableauV0V2Aais_symbol_free_var_in_fo_termV1ainfix @!arename_subst_fo_termV4aidentityaidentityV0Iais_symbol_free_var_in_fo_termV1ainfix @!V4V0Iais_symbol_free_var_in_fo_termainfix @!V15V1arename_fo_termV16V15aidentityIais_symbol_free_var_in_fo_termV1V16Lainfix @!V4V0LaidentityIais_symbol_free_var_in_fo_formula_listV1asubst_fo_formula_listV7arename_subst_symbolV3aidentityV14Iais_symbol_free_var_in_fo_termV1ainfix @!V14V0Aais_fo_term_free_var_in_fo_formula_listV0V7Larename_subst_fo_termV4aidentityaidentityAais_symbol_free_var_in_fo_termV1ainfix @!arename_subst_fo_termV4aidentityaidentityV0Iais_symbol_free_var_in_fo_termV1ainfix @!V4V0Iais_symbol_free_var_in_fo_termainfix @!V12V1arename_fo_termV13V12aidentityIais_symbol_free_var_in_fo_termV1V13Lainfix @!V4V0LaidentityIais_symbol_free_var_in_fo_formulaV1asubst_fo_formulaV6arename_subst_symbolV3aidentityV11Iais_symbol_free_var_in_fo_termV1ainfix @!V11V0Aais_fo_term_free_var_in_fo_formulaV0V6Larename_subst_fo_termV4aidentityaidentityAais_symbol_free_var_in_fo_termV1ainfix @!arename_subst_fo_termV4aidentityaidentityV0Iais_symbol_free_var_in_fo_termV1ainfix @!V4V0Iais_symbol_free_var_in_fo_termainfix @!V9V1arename_fo_termV10V9aidentityIais_symbol_free_var_in_fo_termV1V10Lainfix @!V4V0LaidentityIais_symbol_free_var_in_tableauV1asubst_tableauV5arename_subst_symbolV3aidentityV8Iais_symbol_free_var_in_fo_termV1ainfix @!V8V0Aais_fo_term_free_var_in_tableauV0V5Aainfix <asize_tableauV5asize_tableauV2Aainfix <=c0asize_tableauV2Larename_subst_fo_termV4aidentityaidentityaNodeVVVV2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_free_var_propagation_fo_term_symbol_tableau"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="timeout" time="4.39"/>
- </proof>
- <transf
- name="split_goal_wp"
- proved="true"
- expanded="false">
- <goal
- name="WP_parameter subst_free_var_propagation_fo_term_symbol_tableau.1"
- locfile="../Firstorder_tableau_spec.mlw"
- loclnum="499" loccnumb="13" loccnume="62"
- expl="1. postcondition"
- sum="86aec785b4dfba80d67952131f8e5778"
- proved="true"
- expanded="false"
- shape="postconditionCais_symbol_free_var_in_tableauV1asubst_tableauV2V3V4Iais_symbol_free_var_in_fo_termV1ainfix @!V4V0Aais_fo_term_free_var_in_tableauV0V2aRoottaNodeVVVV2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_free_var_propagation_fo_term_symbol_tableau"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.10"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_free_var_propagation_fo_term_symbol_tableau.2"
- locfile="../Firstorder_tableau_spec.mlw"
- loclnum="499" loccnumb="13" loccnume="62"
- expl="2. variant decrease"
- sum="bb3a55fac1292993a61092bc22fa8ec3"
- proved="true"
- expanded="false"
- shape="variant decreaseCtaRootainfix <asize_tableauV5asize_tableauV2Aainfix <=c0asize_tableauV2Larename_subst_fo_termV4aidentityaidentityaNodeVVVV2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_free_var_propagation_fo_term_symbol_tableau"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.10"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_free_var_propagation_fo_term_symbol_tableau.3"
- locfile="../Firstorder_tableau_spec.mlw"
- loclnum="499" loccnumb="13" loccnume="62"
- expl="3. assertion"
- sum="8cab24c13931e9850561b20aa2545967"
- proved="true"
- expanded="false"
- shape="assertionCtaRootais_symbol_free_var_in_fo_termV1ainfix @!arename_subst_fo_termV4aidentityaidentityV0Iais_symbol_free_var_in_fo_termV1ainfix @!V4V0Iais_symbol_free_var_in_fo_termainfix @!V9V1arename_fo_termV10V9aidentityIais_symbol_free_var_in_fo_termV1V10Lainfix @!V4V0LaidentityIais_symbol_free_var_in_tableauV1asubst_tableauV5arename_subst_symbolV3aidentityV8Iais_symbol_free_var_in_fo_termV1ainfix @!V8V0Aais_fo_term_free_var_in_tableauV0V5Larename_subst_fo_termV4aidentityaidentityaNodeVVVV2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_free_var_propagation_fo_term_symbol_tableau"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.09"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_free_var_propagation_fo_term_symbol_tableau.4"
- locfile="../Firstorder_tableau_spec.mlw"
- loclnum="499" loccnumb="13" loccnume="62"
- expl="4. assertion"
- sum="4431b3d55f8f127effa7373000640742"
- proved="true"
- expanded="false"
- shape="assertionCtaRootais_symbol_free_var_in_fo_termV1ainfix @!arename_subst_fo_termV4aidentityaidentityV0Iais_symbol_free_var_in_fo_termV1ainfix @!V4V0Iais_symbol_free_var_in_fo_termainfix @!V12V1arename_fo_termV13V12aidentityIais_symbol_free_var_in_fo_termV1V13Lainfix @!V4V0LaidentityIais_symbol_free_var_in_fo_formulaV1asubst_fo_formulaV6arename_subst_symbolV3aidentityV11Iais_symbol_free_var_in_fo_termV1ainfix @!V11V0Aais_fo_term_free_var_in_fo_formulaV0V6Larename_subst_fo_termV4aidentityaidentityIais_symbol_free_var_in_fo_termV1ainfix @!arename_subst_fo_termV4aidentityaidentityV0Iais_symbol_free_var_in_fo_termV1ainfix @!V4V0Iais_symbol_free_var_in_fo_termainfix @!V9V1arename_fo_termV10V9aidentityIais_symbol_free_var_in_fo_termV1V10Lainfix @!V4V0LaidentityIais_symbol_free_var_in_tableauV1asubst_tableauV5arename_subst_symbolV3aidentityV8Iais_symbol_free_var_in_fo_termV1ainfix @!V8V0Aais_fo_term_free_var_in_tableauV0V5Larename_subst_fo_termV4aidentityaidentityaNodeVVVV2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_free_var_propagation_fo_term_symbol_tableau"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.08"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_free_var_propagation_fo_term_symbol_tableau.5"
- locfile="../Firstorder_tableau_spec.mlw"
- loclnum="499" loccnumb="13" loccnume="62"
- expl="5. assertion"
- sum="bbdc835dca54460d62d0451ab047af90"
- proved="true"
- expanded="false"
- shape="assertionCtaRootais_symbol_free_var_in_fo_termV1ainfix @!arename_subst_fo_termV4aidentityaidentityV0Iais_symbol_free_var_in_fo_termV1ainfix @!V4V0Iais_symbol_free_var_in_fo_termainfix @!V15V1arename_fo_termV16V15aidentityIais_symbol_free_var_in_fo_termV1V16Lainfix @!V4V0LaidentityIais_symbol_free_var_in_fo_formula_listV1asubst_fo_formula_listV7arename_subst_symbolV3aidentityV14Iais_symbol_free_var_in_fo_termV1ainfix @!V14V0Aais_fo_term_free_var_in_fo_formula_listV0V7Larename_subst_fo_termV4aidentityaidentityIais_symbol_free_var_in_fo_termV1ainfix @!arename_subst_fo_termV4aidentityaidentityV0Iais_symbol_free_var_in_fo_termV1ainfix @!V4V0Iais_symbol_free_var_in_fo_termainfix @!V12V1arename_fo_termV13V12aidentityIais_symbol_free_var_in_fo_termV1V13Lainfix @!V4V0LaidentityIais_symbol_free_var_in_fo_formulaV1asubst_fo_formulaV6arename_subst_symbolV3aidentityV11Iais_symbol_free_var_in_fo_termV1ainfix @!V11V0Aais_fo_term_free_var_in_fo_formulaV0V6Larename_subst_fo_termV4aidentityaidentityIais_symbol_free_var_in_fo_termV1ainfix @!arename_subst_fo_termV4aidentityaidentityV0Iais_symbol_free_var_in_fo_termV1ainfix @!V4V0Iais_symbol_free_var_in_fo_termainfix @!V9V1arename_fo_termV10V9aidentityIais_symbol_free_var_in_fo_termV1V10Lainfix @!V4V0LaidentityIais_symbol_free_var_in_tableauV1asubst_tableauV5arename_subst_symbolV3aidentityV8Iais_symbol_free_var_in_fo_termV1ainfix @!V8V0Aais_fo_term_free_var_in_tableauV0V5Larename_subst_fo_termV4aidentityaidentityaNodeVVVV2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_free_var_propagation_fo_term_symbol_tableau"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.08"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_free_var_propagation_fo_term_symbol_tableau.6"
- locfile="../Firstorder_tableau_spec.mlw"
- loclnum="499" loccnumb="13" loccnume="62"
- expl="6. postcondition"
- sum="9994100147756977386fb91e508092f9"
- proved="true"
- expanded="false"
- shape="postconditionCtaRootais_symbol_free_var_in_tableauV1asubst_tableauV2V3V4Iais_symbol_free_var_in_fo_termV1ainfix @!V4V0Aais_fo_term_free_var_in_tableauV0V2Iais_symbol_free_var_in_fo_termV1ainfix @!arename_subst_fo_termV4aidentityaidentityV0Iais_symbol_free_var_in_fo_termV1ainfix @!V4V0Iais_symbol_free_var_in_fo_termainfix @!V15V1arename_fo_termV16V15aidentityIais_symbol_free_var_in_fo_termV1V16Lainfix @!V4V0LaidentityIais_symbol_free_var_in_fo_formula_listV1asubst_fo_formula_listV7arename_subst_symbolV3aidentityV14Iais_symbol_free_var_in_fo_termV1ainfix @!V14V0Aais_fo_term_free_var_in_fo_formula_listV0V7Larename_subst_fo_termV4aidentityaidentityIais_symbol_free_var_in_fo_termV1ainfix @!arename_subst_fo_termV4aidentityaidentityV0Iais_symbol_free_var_in_fo_termV1ainfix @!V4V0Iais_symbol_free_var_in_fo_termainfix @!V12V1arename_fo_termV13V12aidentityIais_symbol_free_var_in_fo_termV1V13Lainfix @!V4V0LaidentityIais_symbol_free_var_in_fo_formulaV1asubst_fo_formulaV6arename_subst_symbolV3aidentityV11Iais_symbol_free_var_in_fo_termV1ainfix @!V11V0Aais_fo_term_free_var_in_fo_formulaV0V6Larename_subst_fo_termV4aidentityaidentityIais_symbol_free_var_in_fo_termV1ainfix @!arename_subst_fo_termV4aidentityaidentityV0Iais_symbol_free_var_in_fo_termV1ainfix @!V4V0Iais_symbol_free_var_in_fo_termainfix @!V9V1arename_fo_termV10V9aidentityIais_symbol_free_var_in_fo_termV1V10Lainfix @!V4V0LaidentityIais_symbol_free_var_in_tableauV1asubst_tableauV5arename_subst_symbolV3aidentityV8Iais_symbol_free_var_in_fo_termV1ainfix @!V8V0Aais_fo_term_free_var_in_tableauV0V5Larename_subst_fo_termV4aidentityaidentityaNodeVVVV2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_free_var_propagation_fo_term_symbol_tableau"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.15"/>
- </proof>
- </goal>
- </transf>
- </goal>
- <goal
- name="WP_parameter subst_free_var_propagation_fo_term_fo_term_tableau"
- locfile="../Firstorder_tableau_spec.mlw"
- loclnum="539" loccnumb="13" loccnume="63"
- expl="VC for subst_free_var_propagation_fo_term_fo_term_tableau"
- sum="341c70aac8bedc9db8b6bb72798e7ff5"
- proved="true"
- expanded="false"
- shape="Cais_fo_term_free_var_in_tableauV1asubst_tableauV2V3V4Iais_fo_term_free_var_in_fo_termV1ainfix @!V4V0Aais_fo_term_free_var_in_tableauV0V2aRootais_fo_term_free_var_in_tableauV1asubst_tableauV2V3V4Iais_fo_term_free_var_in_fo_termV1ainfix @!V4V0Aais_fo_term_free_var_in_tableauV0V2Aais_fo_term_free_var_in_fo_termV1ainfix @!arename_subst_fo_termV4aidentityaidentityV0Iais_fo_term_free_var_in_fo_termV1ainfix @!V4V0Iais_fo_term_free_var_in_fo_termainfix @!V15V1arename_fo_termV16aidentityV15Iais_fo_term_free_var_in_fo_termV1V16Lainfix @!V4V0LaidentityIais_fo_term_free_var_in_fo_formula_listV1asubst_fo_formula_listV7arename_subst_symbolV3aidentityV14Iais_fo_term_free_var_in_fo_termV1ainfix @!V14V0Aais_fo_term_free_var_in_fo_formula_listV0V7Larename_subst_fo_termV4aidentityaidentityAais_fo_term_free_var_in_fo_termV1ainfix @!arename_subst_fo_termV4aidentityaidentityV0Iais_fo_term_free_var_in_fo_termV1ainfix @!V4V0Iais_fo_term_free_var_in_fo_termainfix @!V12V1arename_fo_termV13aidentityV12Iais_fo_term_free_var_in_fo_termV1V13Lainfix @!V4V0LaidentityIais_fo_term_free_var_in_fo_formulaV1asubst_fo_formulaV6arename_subst_symbolV3aidentityV11Iais_fo_term_free_var_in_fo_termV1ainfix @!V11V0Aais_fo_term_free_var_in_fo_formulaV0V6Larename_subst_fo_termV4aidentityaidentityAais_fo_term_free_var_in_fo_termV1ainfix @!arename_subst_fo_termV4aidentityaidentityV0Iais_fo_term_free_var_in_fo_termV1ainfix @!V4V0Iais_fo_term_free_var_in_fo_termainfix @!V9V1arename_fo_termV10aidentityV9Iais_fo_term_free_var_in_fo_termV1V10Lainfix @!V4V0LaidentityIais_fo_term_free_var_in_tableauV1asubst_tableauV5arename_subst_symbolV3aidentityV8Iais_fo_term_free_var_in_fo_termV1ainfix @!V8V0Aais_fo_term_free_var_in_tableauV0V5Aainfix <asize_tableauV5asize_tableauV2Aainfix <=c0asize_tableauV2Larename_subst_fo_termV4aidentityaidentityaNodeVVVV2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_free_var_propagation_fo_term_fo_term_tableau"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="timeout" time="4.81"/>
- </proof>
- <transf
- name="split_goal_wp"
- proved="true"
- expanded="false">
- <goal
- name="WP_parameter subst_free_var_propagation_fo_term_fo_term_tableau.1"
- locfile="../Firstorder_tableau_spec.mlw"
- loclnum="539" loccnumb="13" loccnume="63"
- expl="1. postcondition"
- sum="dd764861a1b862f19ce1a49a646f88cc"
- proved="true"
- expanded="false"
- shape="postconditionCais_fo_term_free_var_in_tableauV1asubst_tableauV2V3V4Iais_fo_term_free_var_in_fo_termV1ainfix @!V4V0Aais_fo_term_free_var_in_tableauV0V2aRoottaNodeVVVV2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_free_var_propagation_fo_term_fo_term_tableau"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.09"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_free_var_propagation_fo_term_fo_term_tableau.2"
- locfile="../Firstorder_tableau_spec.mlw"
- loclnum="539" loccnumb="13" loccnume="63"
- expl="2. variant decrease"
- sum="a352931e4592308f060793d9b7fdb452"
- proved="true"
- expanded="false"
- shape="variant decreaseCtaRootainfix <asize_tableauV5asize_tableauV2Aainfix <=c0asize_tableauV2Larename_subst_fo_termV4aidentityaidentityaNodeVVVV2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_free_var_propagation_fo_term_fo_term_tableau"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.09"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_free_var_propagation_fo_term_fo_term_tableau.3"
- locfile="../Firstorder_tableau_spec.mlw"
- loclnum="539" loccnumb="13" loccnume="63"
- expl="3. assertion"
- sum="4dc92b1081e932e5e770ef2048859dc3"
- proved="true"
- expanded="false"
- shape="assertionCtaRootais_fo_term_free_var_in_fo_termV1ainfix @!arename_subst_fo_termV4aidentityaidentityV0Iais_fo_term_free_var_in_fo_termV1ainfix @!V4V0Iais_fo_term_free_var_in_fo_termainfix @!V9V1arename_fo_termV10aidentityV9Iais_fo_term_free_var_in_fo_termV1V10Lainfix @!V4V0LaidentityIais_fo_term_free_var_in_tableauV1asubst_tableauV5arename_subst_symbolV3aidentityV8Iais_fo_term_free_var_in_fo_termV1ainfix @!V8V0Aais_fo_term_free_var_in_tableauV0V5Larename_subst_fo_termV4aidentityaidentityaNodeVVVV2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_free_var_propagation_fo_term_fo_term_tableau"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.09"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_free_var_propagation_fo_term_fo_term_tableau.4"
- locfile="../Firstorder_tableau_spec.mlw"
- loclnum="539" loccnumb="13" loccnume="63"
- expl="4. assertion"
- sum="addba83594bd19d4f0e07ab4835d56a8"
- proved="true"
- expanded="false"
- shape="assertionCtaRootais_fo_term_free_var_in_fo_termV1ainfix @!arename_subst_fo_termV4aidentityaidentityV0Iais_fo_term_free_var_in_fo_termV1ainfix @!V4V0Iais_fo_term_free_var_in_fo_termainfix @!V12V1arename_fo_termV13aidentityV12Iais_fo_term_free_var_in_fo_termV1V13Lainfix @!V4V0LaidentityIais_fo_term_free_var_in_fo_formulaV1asubst_fo_formulaV6arename_subst_symbolV3aidentityV11Iais_fo_term_free_var_in_fo_termV1ainfix @!V11V0Aais_fo_term_free_var_in_fo_formulaV0V6Larename_subst_fo_termV4aidentityaidentityIais_fo_term_free_var_in_fo_termV1ainfix @!arename_subst_fo_termV4aidentityaidentityV0Iais_fo_term_free_var_in_fo_termV1ainfix @!V4V0Iais_fo_term_free_var_in_fo_termainfix @!V9V1arename_fo_termV10aidentityV9Iais_fo_term_free_var_in_fo_termV1V10Lainfix @!V4V0LaidentityIais_fo_term_free_var_in_tableauV1asubst_tableauV5arename_subst_symbolV3aidentityV8Iais_fo_term_free_var_in_fo_termV1ainfix @!V8V0Aais_fo_term_free_var_in_tableauV0V5Larename_subst_fo_termV4aidentityaidentityaNodeVVVV2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_free_var_propagation_fo_term_fo_term_tableau"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.08"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_free_var_propagation_fo_term_fo_term_tableau.5"
- locfile="../Firstorder_tableau_spec.mlw"
- loclnum="539" loccnumb="13" loccnume="63"
- expl="5. assertion"
- sum="151ccdbc7d1aa53438f983b854618114"
- proved="true"
- expanded="false"
- shape="assertionCtaRootais_fo_term_free_var_in_fo_termV1ainfix @!arename_subst_fo_termV4aidentityaidentityV0Iais_fo_term_free_var_in_fo_termV1ainfix @!V4V0Iais_fo_term_free_var_in_fo_termainfix @!V15V1arename_fo_termV16aidentityV15Iais_fo_term_free_var_in_fo_termV1V16Lainfix @!V4V0LaidentityIais_fo_term_free_var_in_fo_formula_listV1asubst_fo_formula_listV7arename_subst_symbolV3aidentityV14Iais_fo_term_free_var_in_fo_termV1ainfix @!V14V0Aais_fo_term_free_var_in_fo_formula_listV0V7Larename_subst_fo_termV4aidentityaidentityIais_fo_term_free_var_in_fo_termV1ainfix @!arename_subst_fo_termV4aidentityaidentityV0Iais_fo_term_free_var_in_fo_termV1ainfix @!V4V0Iais_fo_term_free_var_in_fo_termainfix @!V12V1arename_fo_termV13aidentityV12Iais_fo_term_free_var_in_fo_termV1V13Lainfix @!V4V0LaidentityIais_fo_term_free_var_in_fo_formulaV1asubst_fo_formulaV6arename_subst_symbolV3aidentityV11Iais_fo_term_free_var_in_fo_termV1ainfix @!V11V0Aais_fo_term_free_var_in_fo_formulaV0V6Larename_subst_fo_termV4aidentityaidentityIais_fo_term_free_var_in_fo_termV1ainfix @!arename_subst_fo_termV4aidentityaidentityV0Iais_fo_term_free_var_in_fo_termV1ainfix @!V4V0Iais_fo_term_free_var_in_fo_termainfix @!V9V1arename_fo_termV10aidentityV9Iais_fo_term_free_var_in_fo_termV1V10Lainfix @!V4V0LaidentityIais_fo_term_free_var_in_tableauV1asubst_tableauV5arename_subst_symbolV3aidentityV8Iais_fo_term_free_var_in_fo_termV1ainfix @!V8V0Aais_fo_term_free_var_in_tableauV0V5Larename_subst_fo_termV4aidentityaidentityaNodeVVVV2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_free_var_propagation_fo_term_fo_term_tableau"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.09"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_free_var_propagation_fo_term_fo_term_tableau.6"
- locfile="../Firstorder_tableau_spec.mlw"
- loclnum="539" loccnumb="13" loccnume="63"
- expl="6. postcondition"
- sum="8fc714f893774a7ee7da907cdb79ed50"
- proved="true"
- expanded="false"
- shape="postconditionCtaRootais_fo_term_free_var_in_tableauV1asubst_tableauV2V3V4Iais_fo_term_free_var_in_fo_termV1ainfix @!V4V0Aais_fo_term_free_var_in_tableauV0V2Iais_fo_term_free_var_in_fo_termV1ainfix @!arename_subst_fo_termV4aidentityaidentityV0Iais_fo_term_free_var_in_fo_termV1ainfix @!V4V0Iais_fo_term_free_var_in_fo_termainfix @!V15V1arename_fo_termV16aidentityV15Iais_fo_term_free_var_in_fo_termV1V16Lainfix @!V4V0LaidentityIais_fo_term_free_var_in_fo_formula_listV1asubst_fo_formula_listV7arename_subst_symbolV3aidentityV14Iais_fo_term_free_var_in_fo_termV1ainfix @!V14V0Aais_fo_term_free_var_in_fo_formula_listV0V7Larename_subst_fo_termV4aidentityaidentityIais_fo_term_free_var_in_fo_termV1ainfix @!arename_subst_fo_termV4aidentityaidentityV0Iais_fo_term_free_var_in_fo_termV1ainfix @!V4V0Iais_fo_term_free_var_in_fo_termainfix @!V12V1arename_fo_termV13aidentityV12Iais_fo_term_free_var_in_fo_termV1V13Lainfix @!V4V0LaidentityIais_fo_term_free_var_in_fo_formulaV1asubst_fo_formulaV6arename_subst_symbolV3aidentityV11Iais_fo_term_free_var_in_fo_termV1ainfix @!V11V0Aais_fo_term_free_var_in_fo_formulaV0V6Larename_subst_fo_termV4aidentityaidentityIais_fo_term_free_var_in_fo_termV1ainfix @!arename_subst_fo_termV4aidentityaidentityV0Iais_fo_term_free_var_in_fo_termV1ainfix @!V4V0Iais_fo_term_free_var_in_fo_termainfix @!V9V1arename_fo_termV10aidentityV9Iais_fo_term_free_var_in_fo_termV1V10Lainfix @!V4V0LaidentityIais_fo_term_free_var_in_tableauV1asubst_tableauV5arename_subst_symbolV3aidentityV8Iais_fo_term_free_var_in_fo_termV1ainfix @!V8V0Aais_fo_term_free_var_in_tableauV0V5Larename_subst_fo_termV4aidentityaidentityaNodeVVVV2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_free_var_propagation_fo_term_fo_term_tableau"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.14"/>
- </proof>
- </goal>
- </transf>
- </goal>
- <goal
- name="WP_parameter free_var_equivalence_of_subst_tableau"
- locfile="../Firstorder_tableau_spec.mlw"
- loclnum="579" loccnumb="16" loccnume="53"
- expl="VC for free_var_equivalence_of_subst_tableau"
- sum="ebbf1a8becdbd55cce9b0c4e640a72a5"
- proved="true"
- expanded="false"
- shape="Cainfix =asubst_tableauV0V1V3asubst_tableauV0V2V4aRootainfix =asubst_tableauV0V1V3asubst_tableauV0V2V4Iainfix =asubst_fo_formula_listV7V19V17asubst_fo_formula_listV7V18V16Aainfix =ainfix @!V17V20ainfix @!V16V20Iais_fo_term_free_var_in_fo_formula_listV20V7FAainfix =ainfix @!V19V21ainfix @!V18V21Iais_symbol_free_var_in_fo_formula_listV21V7FLarename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityLarename_subst_fo_termV4aidentityaidentityAais_fo_term_free_var_in_tableauV22V0Iais_fo_term_free_var_in_fo_formula_listV22V7FAais_symbol_free_var_in_tableauV23V0Iais_symbol_free_var_in_fo_formula_listV23V7FIainfix =asubst_fo_formulaV6V15V13asubst_fo_formulaV6V14V12Aainfix =ainfix @!V13V24ainfix @!V12V24Iais_fo_term_free_var_in_fo_formulaV24V6FAainfix =ainfix @!V15V25ainfix @!V14V25Iais_symbol_free_var_in_fo_formulaV25V6FLarename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityLarename_subst_fo_termV4aidentityaidentityAais_fo_term_free_var_in_tableauV26V0Iais_fo_term_free_var_in_fo_formulaV26V6FAais_symbol_free_var_in_tableauV27V0Iais_symbol_free_var_in_fo_formulaV27V6FIainfix =asubst_tableauV5V11V9asubst_tableauV5V10V8Aainfix =ainfix @!V9V28ainfix @!V8V28Iais_fo_term_free_var_in_tableauV28V5FAainfix =ainfix @!V11V29ainfix @!V10V29Iais_symbol_free_var_in_tableauV29V5FAainfix <asize_tableauV5asize_tableauV0Aainfix <=c0asize_tableauV0Larename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityLarename_subst_fo_termV4aidentityaidentityAais_fo_term_free_var_in_tableauV30V0Iais_fo_term_free_var_in_tableauV30V5FAais_symbol_free_var_in_tableauV31V0Iais_symbol_free_var_in_tableauV31V5FaNodeVVVV0Iainfix =ainfix @!V3V32ainfix @!V4V32Iais_fo_term_free_var_in_tableauV32V0FAainfix =ainfix @!V1V33ainfix @!V2V33Iais_symbol_free_var_in_tableauV33V0FF">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_equivalence_of_subst_tableau"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.35"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter free_var_equivalence_of_rename_tableau"
- locfile="../Firstorder_tableau_spec.mlw"
- loclnum="632" loccnumb="12" loccnume="50"
- expl="VC for free_var_equivalence_of_rename_tableau"
- sum="cf76f528c390e18477465fc773f0483f"
- proved="true"
- expanded="false"
- shape="ainfix =arename_tableauV0V1V3arename_tableauV0V2V4Iainfix =asubst_tableauV0V8V6asubst_tableauV0V7V5Aainfix =ainfix @!V6V9ainfix @!V5V9Iais_fo_term_free_var_in_tableauV9V0FAainfix =ainfix @!V8V10ainfix @!V7V10Iais_symbol_free_var_in_tableauV10V0FLasubst_of_rename_symbolV1Lasubst_of_rename_symbolV2Lasubst_of_rename_fo_termV3Lasubst_of_rename_fo_termV4Iainfix =ainfix @!V3V11ainfix @!V4V11Iais_fo_term_free_var_in_tableauV11V0FAainfix =ainfix @!V1V12ainfix @!V2V12Iais_symbol_free_var_in_tableauV12V0FF">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_equivalence_of_rename_tableau"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.17"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter free_var_derive_equivalence_of_subst_tableau"
- locfile="../Firstorder_tableau_spec.mlw"
- loclnum="644" loccnumb="16" loccnume="60"
- expl="VC for free_var_derive_equivalence_of_subst_tableau"
- sum="20e1cb4e18a74a978465442afc504d5a"
- proved="true"
- expanded="false"
- shape="Cainfix =ainfix @!V3V5ainfix @!V4V5Iais_fo_term_free_var_in_tableauV5V0FAainfix =ainfix @!V1V6ainfix @!V2V6Iais_symbol_free_var_in_tableauV6V0FaRootainfix =ainfix @!V3V22ainfix @!V4V22Iais_fo_term_free_var_in_tableauV22V0FAainfix =ainfix @!V1V23ainfix @!V2V23Iais_symbol_free_var_in_tableauV23V0FAainfix =ainfix @!V3V24ainfix @!V4V24Iais_fo_term_free_var_in_fo_formula_listV24V9FAainfix =ainfix @!V3V25ainfix @!V4V25Aainfix =arename_fo_termarename_fo_termainfix @!V4V25aidentityaidentityaidentityaidentityainfix @!V4V25Aainfix =arename_fo_termarename_fo_termainfix @!V3V25aidentityaidentityaidentityaidentityarename_fo_termarename_fo_termainfix @!V4V25aidentityaidentityaidentityaidentityAainfix =ainfix @!V3V25arename_fo_termarename_fo_termainfix @!V3V25aidentityaidentityaidentityaidentityAainfix =ainfix @!arename_subst_fo_termV4aidentityaidentityV25arename_fo_termainfix @!V4V25aidentityaidentityAainfix =ainfix @!arename_subst_fo_termV3aidentityaidentityV25ainfix @!arename_subst_fo_termV4aidentityaidentityV25Aainfix =arename_fo_termainfix @!V3V25aidentityaidentityainfix @!arename_subst_fo_termV3aidentityaidentityV25Iais_fo_term_free_var_in_fo_formula_listV25V9FAainfix =ainfix @!V1V26ainfix @!V2V26Iais_symbol_free_var_in_fo_formula_listV26V9FAainfix =ainfix @!V1V27ainfix @!V2V27Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV28aVar_symbolVainfix @!V2V27ainfix @!V2V27Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV29aVar_symbolVainfix @!V1V27CaVar_symbolainfix @!aidentityainfix @!aidentityV30aVar_symbolVainfix @!V2V27Aainfix =ainfix @!V1V27CaVar_symbolainfix @!aidentityainfix @!aidentityV31aVar_symbolVainfix @!V1V27Aainfix =ainfix @!arename_subst_symbolV2aidentityV27CaVar_symbolainfix @!aidentityV32aVar_symbolVainfix @!V2V27Aainfix =ainfix @!arename_subst_symbolV1aidentityV27ainfix @!arename_subst_symbolV2aidentityV27Aainfix =CaVar_symbolainfix @!aidentityV33aVar_symbolVainfix @!V1V27ainfix @!arename_subst_symbolV1aidentityV27Iais_symbol_free_var_in_fo_formula_listV27V9FIainfix =ainfix @!V19V34ainfix @!V18V34Iais_fo_term_free_var_in_fo_formula_listV34V9FAainfix =ainfix @!V21V35ainfix @!V20V35Iais_symbol_free_var_in_fo_formula_listV35V9FAainfix =asubst_fo_formula_listV9V21V19asubst_fo_formula_listV9V20V18Larename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityLarename_subst_fo_termV4aidentityaidentityAainfix =ainfix @!V3V36ainfix @!V4V36Iais_fo_term_free_var_in_fo_formulaV36V8FAainfix =ainfix @!V3V37ainfix @!V4V37Aainfix =arename_fo_termarename_fo_termainfix @!V4V37aidentityaidentityaidentityaidentityainfix @!V4V37Aainfix =arename_fo_termarename_fo_termainfix @!V3V37aidentityaidentityaidentityaidentityarename_fo_termarename_fo_termainfix @!V4V37aidentityaidentityaidentityaidentityAainfix =ainfix @!V3V37arename_fo_termarename_fo_termainfix @!V3V37aidentityaidentityaidentityaidentityAainfix =ainfix @!arename_subst_fo_termV4aidentityaidentityV37arename_fo_termainfix @!V4V37aidentityaidentityAainfix =ainfix @!arename_subst_fo_termV3aidentityaidentityV37ainfix @!arename_subst_fo_termV4aidentityaidentityV37Aainfix =arename_fo_termainfix @!V3V37aidentityaidentityainfix @!arename_subst_fo_termV3aidentityaidentityV37Iais_fo_term_free_var_in_fo_formulaV37V8FAainfix =ainfix @!V1V38ainfix @!V2V38Iais_symbol_free_var_in_fo_formulaV38V8FAainfix =ainfix @!V1V39ainfix @!V2V39Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV40aVar_symbolVainfix @!V2V39ainfix @!V2V39Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV41aVar_symbolVainfix @!V1V39CaVar_symbolainfix @!aidentityainfix @!aidentityV42aVar_symbolVainfix @!V2V39Aainfix =ainfix @!V1V39CaVar_symbolainfix @!aidentityainfix @!aidentityV43aVar_symbolVainfix @!V1V39Aainfix =ainfix @!arename_subst_symbolV2aidentityV39CaVar_symbolainfix @!aidentityV44aVar_symbolVainfix @!V2V39Aainfix =ainfix @!arename_subst_symbolV1aidentityV39ainfix @!arename_subst_symbolV2aidentityV39Aainfix =CaVar_symbolainfix @!aidentityV45aVar_symbolVainfix @!V1V39ainfix @!arename_subst_symbolV1aidentityV39Iais_symbol_free_var_in_fo_formulaV39V8FIainfix =ainfix @!V15V46ainfix @!V14V46Iais_fo_term_free_var_in_fo_formulaV46V8FAainfix =ainfix @!V17V47ainfix @!V16V47Iais_symbol_free_var_in_fo_formulaV47V8FAainfix =asubst_fo_formulaV8V17V15asubst_fo_formulaV8V16V14Larename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityLarename_subst_fo_termV4aidentityaidentityAainfix =ainfix @!V3V48ainfix @!V4V48Iais_fo_term_free_var_in_tableauV48V7FAainfix =ainfix @!V3V49ainfix @!V4V49Aainfix =arename_fo_termarename_fo_termainfix @!V4V49aidentityaidentityaidentityaidentityainfix @!V4V49Aainfix =arename_fo_termarename_fo_termainfix @!V3V49aidentityaidentityaidentityaidentityarename_fo_termarename_fo_termainfix @!V4V49aidentityaidentityaidentityaidentityAainfix =ainfix @!V3V49arename_fo_termarename_fo_termainfix @!V3V49aidentityaidentityaidentityaidentityAainfix =ainfix @!arename_subst_fo_termV4aidentityaidentityV49arename_fo_termainfix @!V4V49aidentityaidentityAainfix =ainfix @!arename_subst_fo_termV3aidentityaidentityV49ainfix @!arename_subst_fo_termV4aidentityaidentityV49Aainfix =arename_fo_termainfix @!V3V49aidentityaidentityainfix @!arename_subst_fo_termV3aidentityaidentityV49Iais_fo_term_free_var_in_tableauV49V7FAainfix =ainfix @!V1V50ainfix @!V2V50Iais_symbol_free_var_in_tableauV50V7FAainfix =ainfix @!V1V51ainfix @!V2V51Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV52aVar_symbolVainfix @!V2V51ainfix @!V2V51Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV53aVar_symbolVainfix @!V1V51CaVar_symbolainfix @!aidentityainfix @!aidentityV54aVar_symbolVainfix @!V2V51Aainfix =ainfix @!V1V51CaVar_symbolainfix @!aidentityainfix @!aidentityV55aVar_symbolVainfix @!V1V51Aainfix =ainfix @!arename_subst_symbolV2aidentityV51CaVar_symbolainfix @!aidentityV56aVar_symbolVainfix @!V2V51Aainfix =ainfix @!arename_subst_symbolV1aidentityV51ainfix @!arename_subst_symbolV2aidentityV51Aainfix =CaVar_symbolainfix @!aidentityV57aVar_symbolVainfix @!V1V51ainfix @!arename_subst_symbolV1aidentityV51Iais_symbol_free_var_in_tableauV51V7FIainfix =ainfix @!V11V58ainfix @!V10V58Iais_fo_term_free_var_in_tableauV58V7FAainfix =ainfix @!V13V59ainfix @!V12V59Iais_symbol_free_var_in_tableauV59V7FAainfix =asubst_tableauV7V13V11asubst_tableauV7V12V10Aainfix <asize_tableauV7asize_tableauV0Aainfix <=c0asize_tableauV0Larename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityLarename_subst_fo_termV4aidentityaidentityaNodeVVVV0Iainfix =asubst_tableauV0V1V3asubst_tableauV0V2V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_derive_equivalence_of_subst_tableau"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.84"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter free_var_derive_equivalence_of_rename_tableau"
- locfile="../Firstorder_tableau_spec.mlw"
- loclnum="763" loccnumb="12" loccnume="57"
- expl="VC for free_var_derive_equivalence_of_rename_tableau"
- sum="07fa024115a09102424dc6196dc72fa8"
- proved="true"
- expanded="false"
- shape="ainfix =ainfix @!V3V9ainfix @!V4V9Iais_fo_term_free_var_in_tableauV9V0FAainfix =ainfix @!V1V10ainfix @!V2V10Iais_symbol_free_var_in_tableauV10V0FAainfix =ainfix @!V3V11ainfix @!V4V11Aainfix =ainfix @!V3V11ainfix @!V4V11Iainfix =ainfix @!asubst_of_rename_fo_termV3V11ainfix @!asubst_of_rename_fo_termV4V11FAainfix =ainfix @!V1V12ainfix @!V2V12Aainfix =ainfix @!V1V12ainfix @!V2V12Iainfix =ainfix @!asubst_of_rename_symbolV1V12ainfix @!asubst_of_rename_symbolV2V12FIainfix =ainfix @!V6V13ainfix @!V5V13Iais_fo_term_free_var_in_tableauV13V0FAainfix =ainfix @!V8V14ainfix @!V7V14Iais_symbol_free_var_in_tableauV14V0FAainfix =asubst_tableauV0V8V6asubst_tableauV0V7V5Lasubst_of_rename_symbolV1Lasubst_of_rename_symbolV2Lasubst_of_rename_fo_termV3Lasubst_of_rename_fo_termV4Iainfix =arename_tableauV0V1V3arename_tableauV0V2V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_derive_equivalence_of_rename_tableau"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="timeout" time="4.69"/>
- </proof>
- <transf
- name="split_goal_wp"
- proved="true"
- expanded="false">
- <goal
- name="WP_parameter free_var_derive_equivalence_of_rename_tableau.1"
- locfile="../Firstorder_tableau_spec.mlw"
- loclnum="763" loccnumb="12" loccnume="57"
- expl="1. precondition"
- sum="97efc079906e65c9cae13ebcadf0e86c"
- proved="true"
- expanded="false"
- shape="preconditionainfix =asubst_tableauV0V8V6asubst_tableauV0V7V5Lasubst_of_rename_symbolV1Lasubst_of_rename_symbolV2Lasubst_of_rename_fo_termV3Lasubst_of_rename_fo_termV4Iainfix =arename_tableauV0V1V3arename_tableauV0V2V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_derive_equivalence_of_rename_tableau"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.09"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter free_var_derive_equivalence_of_rename_tableau.2"
- locfile="../Firstorder_tableau_spec.mlw"
- loclnum="763" loccnumb="12" loccnume="57"
- expl="2. assertion"
- sum="95120910fe4386e378dfbd1935387892"
- proved="true"
- expanded="false"
- shape="assertionainfix =ainfix @!V1V9ainfix @!V2V9Aainfix =ainfix @!V1V9ainfix @!V2V9Iainfix =ainfix @!asubst_of_rename_symbolV1V9ainfix @!asubst_of_rename_symbolV2V9FIainfix =ainfix @!V6V10ainfix @!V5V10Iais_fo_term_free_var_in_tableauV10V0FAainfix =ainfix @!V8V11ainfix @!V7V11Iais_symbol_free_var_in_tableauV11V0FIainfix =asubst_tableauV0V8V6asubst_tableauV0V7V5Lasubst_of_rename_symbolV1Lasubst_of_rename_symbolV2Lasubst_of_rename_fo_termV3Lasubst_of_rename_fo_termV4Iainfix =arename_tableauV0V1V3arename_tableauV0V2V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_derive_equivalence_of_rename_tableau"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.12"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter free_var_derive_equivalence_of_rename_tableau.3"
- locfile="../Firstorder_tableau_spec.mlw"
- loclnum="763" loccnumb="12" loccnume="57"
- expl="3. assertion"
- sum="01d806eaa6a09219826a40fba564d1a4"
- proved="true"
- expanded="false"
- shape="assertionainfix =ainfix @!V3V9ainfix @!V4V9Aainfix =ainfix @!V3V9ainfix @!V4V9Iainfix =ainfix @!asubst_of_rename_fo_termV3V9ainfix @!asubst_of_rename_fo_termV4V9FIainfix =ainfix @!V1V10ainfix @!V2V10Aainfix =ainfix @!V1V10ainfix @!V2V10Iainfix =ainfix @!asubst_of_rename_symbolV1V10ainfix @!asubst_of_rename_symbolV2V10FIainfix =ainfix @!V6V11ainfix @!V5V11Iais_fo_term_free_var_in_tableauV11V0FAainfix =ainfix @!V8V12ainfix @!V7V12Iais_symbol_free_var_in_tableauV12V0FIainfix =asubst_tableauV0V8V6asubst_tableauV0V7V5Lasubst_of_rename_symbolV1Lasubst_of_rename_symbolV2Lasubst_of_rename_fo_termV3Lasubst_of_rename_fo_termV4Iainfix =arename_tableauV0V1V3arename_tableauV0V2V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_derive_equivalence_of_rename_tableau"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.12"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter free_var_derive_equivalence_of_rename_tableau.4"
- locfile="../Firstorder_tableau_spec.mlw"
- loclnum="763" loccnumb="12" loccnume="57"
- expl="4. postcondition"
- sum="00843c3b363be03e6229b0bd7c34395b"
- proved="true"
- expanded="false"
- shape="postconditionainfix =ainfix @!V1V9ainfix @!V2V9Iais_symbol_free_var_in_tableauV9V0FIainfix =ainfix @!V3V10ainfix @!V4V10Aainfix =ainfix @!V3V10ainfix @!V4V10Iainfix =ainfix @!asubst_of_rename_fo_termV3V10ainfix @!asubst_of_rename_fo_termV4V10FIainfix =ainfix @!V1V11ainfix @!V2V11Aainfix =ainfix @!V1V11ainfix @!V2V11Iainfix =ainfix @!asubst_of_rename_symbolV1V11ainfix @!asubst_of_rename_symbolV2V11FIainfix =ainfix @!V6V12ainfix @!V5V12Iais_fo_term_free_var_in_tableauV12V0FAainfix =ainfix @!V8V13ainfix @!V7V13Iais_symbol_free_var_in_tableauV13V0FIainfix =asubst_tableauV0V8V6asubst_tableauV0V7V5Lasubst_of_rename_symbolV1Lasubst_of_rename_symbolV2Lasubst_of_rename_fo_termV3Lasubst_of_rename_fo_termV4Iainfix =arename_tableauV0V1V3arename_tableauV0V2V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_derive_equivalence_of_rename_tableau"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="timeout" time="4.38"/>
- </proof>
- <proof
- prover="1"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.99"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter free_var_derive_equivalence_of_rename_tableau.5"
- locfile="../Firstorder_tableau_spec.mlw"
- loclnum="763" loccnumb="12" loccnume="57"
- expl="5. postcondition"
- sum="06b12185cf4f0402890f082859b292a7"
- proved="true"
- expanded="false"
- shape="postconditionainfix =ainfix @!V3V9ainfix @!V4V9Iais_fo_term_free_var_in_tableauV9V0FIainfix =ainfix @!V3V10ainfix @!V4V10Aainfix =ainfix @!V3V10ainfix @!V4V10Iainfix =ainfix @!asubst_of_rename_fo_termV3V10ainfix @!asubst_of_rename_fo_termV4V10FIainfix =ainfix @!V1V11ainfix @!V2V11Aainfix =ainfix @!V1V11ainfix @!V2V11Iainfix =ainfix @!asubst_of_rename_symbolV1V11ainfix @!asubst_of_rename_symbolV2V11FIainfix =ainfix @!V6V12ainfix @!V5V12Iais_fo_term_free_var_in_tableauV12V0FAainfix =ainfix @!V8V13ainfix @!V7V13Iais_symbol_free_var_in_tableauV13V0FIainfix =asubst_tableauV0V8V6asubst_tableauV0V7V5Lasubst_of_rename_symbolV1Lasubst_of_rename_symbolV2Lasubst_of_rename_fo_termV3Lasubst_of_rename_fo_termV4Iainfix =arename_tableauV0V1V3arename_tableauV0V2V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_derive_equivalence_of_rename_tableau"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="timeout" time="3.68"/>
- </proof>
- <proof
- prover="1"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.99"/>
- </proof>
- </goal>
- </transf>
- </goal>
- </theory>
- </file>
+<!DOCTYPE why3session PUBLIC "-//Why3//proof session v5//EN"
+"http://why3.lri.fr/why3session.dtd">
+<why3session shape_version="4">
+<prover id="2" name="Alt-Ergo" version="0.99.1" timelimit="5" memlimit="1000"/>
+<prover id="3" name="CVC4" version="1.4" timelimit="5" memlimit="1000"/>
+<file name="../Firstorder_tableau_spec.mlw" expanded="true">
+<theory name="Spec" sum="04ae47ccff643d8e6498166eda7f9b58" expanded="true">
+ <goal name="WP_parameter size_positive_lemma_tableau" expl="VC for size_positive_lemma_tableau">
+ <proof prover="2"><result status="valid" time="0.16" steps="70"/></proof>
+ </goal>
+ <goal name="WP_parameter renaming_composition_lemma_tableau" expl="VC for renaming_composition_lemma_tableau">
+ <proof prover="2"><result status="valid" time="0.15" steps="74"/></proof>
+ </goal>
+ <goal name="WP_parameter renaming_identity_lemma_tableau" expl="VC for renaming_identity_lemma_tableau">
+ <proof prover="2"><result status="valid" time="0.10" steps="48"/></proof>
+ </goal>
+ <goal name="WP_parameter rename_then_subst_composition_lemma_tableau" expl="VC for rename_then_subst_composition_lemma_tableau">
+ <proof prover="2"><result status="valid" time="1.38" steps="116"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_then_rename_composition_lemma_tableau" expl="VC for subst_then_rename_composition_lemma_tableau">
+ <proof prover="2"><result status="valid" time="0.40" steps="239"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_composition_lemma_tableau" expl="VC for subst_composition_lemma_tableau">
+ <transf name="split_goal_wp">
+ <goal name="WP_parameter subst_composition_lemma_tableau.1" expl="1. postcondition">
+ <proof prover="2"><result status="valid" time="0.09" steps="7"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_composition_lemma_tableau.2" expl="2. variant decrease">
+ <proof prover="2"><result status="valid" time="0.10" steps="10"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_composition_lemma_tableau.3" expl="3. postcondition">
+ <proof prover="2"><result status="valid" time="0.11" steps="50"/></proof>
+ </goal>
+ </transf>
+ </goal>
+ <goal name="WP_parameter subst_identity_lemma_tableau" expl="VC for subst_identity_lemma_tableau">
+ <proof prover="2"><result status="valid" time="0.20" steps="96"/></proof>
+ </goal>
+ <goal name="WP_parameter renaming_preserve_size_tableau" expl="VC for renaming_preserve_size_tableau">
+ <proof prover="2"><result status="valid" time="0.14" steps="65"/></proof>
+ </goal>
+ <goal name="WP_parameter rename_free_var_constructive_inversion_symbol_tableau" expl="VC for rename_free_var_constructive_inversion_symbol_tableau">
+ <proof prover="2"><result status="valid" time="0.19" steps="171"/></proof>
+ </goal>
+ <goal name="WP_parameter rename_free_var_inversion_symbol_tableau" expl="VC for rename_free_var_inversion_symbol_tableau">
+ <proof prover="2"><result status="valid" time="0.10" steps="9"/></proof>
+ </goal>
+ <goal name="WP_parameter rename_free_var_constructive_inversion_fo_term_tableau" expl="VC for rename_free_var_constructive_inversion_fo_term_tableau">
+ <proof prover="2"><result status="valid" time="0.17" steps="171"/></proof>
+ </goal>
+ <goal name="WP_parameter rename_free_var_inversion_fo_term_tableau" expl="VC for rename_free_var_inversion_fo_term_tableau">
+ <proof prover="2"><result status="valid" time="0.10" steps="9"/></proof>
+ </goal>
+ <goal name="WP_parameter rename_free_var_propagation_symbol_tableau" expl="VC for rename_free_var_propagation_symbol_tableau">
+ <proof prover="2"><result status="valid" time="0.23" steps="221"/></proof>
+ </goal>
+ <goal name="WP_parameter rename_free_var_propagation_fo_term_tableau" expl="VC for rename_free_var_propagation_fo_term_tableau">
+ <proof prover="2"><result status="valid" time="0.22" steps="221"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_free_var_constructive_inversion_symbol_tableau" expl="VC for subst_free_var_constructive_inversion_symbol_tableau">
+ <proof prover="2"><result status="valid" time="0.61" steps="840"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_free_var_inversion_symbol_tableau" expl="VC for subst_free_var_inversion_symbol_tableau">
+ <proof prover="2"><result status="valid" time="0.12" steps="54"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_free_var_constructive_inversion_fo_term_tableau" expl="VC for subst_free_var_constructive_inversion_fo_term_tableau">
+ <proof prover="2"><result status="valid" time="0.42" steps="448"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_free_var_inversion_fo_term_tableau" expl="VC for subst_free_var_inversion_fo_term_tableau">
+ <proof prover="2"><result status="valid" time="0.08" steps="9"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_free_var_propagation_symbol_symbol_tableau" expl="VC for subst_free_var_propagation_symbol_symbol_tableau">
+ <transf name="split_goal_wp">
+ <goal name="WP_parameter subst_free_var_propagation_symbol_symbol_tableau.1" expl="1. postcondition">
+ <proof prover="2"><result status="valid" time="0.10" steps="12"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_free_var_propagation_symbol_symbol_tableau.2" expl="2. variant decrease">
+ <proof prover="2"><result status="valid" time="0.11" steps="10"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_free_var_propagation_symbol_symbol_tableau.3" expl="3. assertion">
+ <proof prover="2"><result status="valid" time="0.09" steps="21"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_free_var_propagation_symbol_symbol_tableau.4" expl="4. assertion">
+ <proof prover="2"><result status="valid" time="0.10" steps="8"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_free_var_propagation_symbol_symbol_tableau.5" expl="5. assertion">
+ <proof prover="2"><result status="valid" time="0.08" steps="8"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_free_var_propagation_symbol_symbol_tableau.6" expl="6. postcondition">
+ <proof prover="2"><result status="valid" time="0.18" steps="174"/></proof>
+ </goal>
+ </transf>
+ </goal>
+ <goal name="WP_parameter subst_free_var_propagation_fo_term_symbol_tableau" expl="VC for subst_free_var_propagation_fo_term_symbol_tableau">
+ <transf name="split_goal_wp">
+ <goal name="WP_parameter subst_free_var_propagation_fo_term_symbol_tableau.1" expl="1. postcondition">
+ <proof prover="2"><result status="valid" time="0.10" steps="12"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_free_var_propagation_fo_term_symbol_tableau.2" expl="2. variant decrease">
+ <proof prover="2"><result status="valid" time="0.10" steps="10"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_free_var_propagation_fo_term_symbol_tableau.3" expl="3. assertion">
+ <proof prover="2"><result status="valid" time="0.09" steps="7"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_free_var_propagation_fo_term_symbol_tableau.4" expl="4. assertion">
+ <proof prover="2"><result status="valid" time="0.08" steps="7"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_free_var_propagation_fo_term_symbol_tableau.5" expl="5. assertion">
+ <proof prover="2"><result status="valid" time="0.08" steps="7"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_free_var_propagation_fo_term_symbol_tableau.6" expl="6. postcondition">
+ <proof prover="2"><result status="valid" time="0.15" steps="242"/></proof>
+ </goal>
+ </transf>
+ </goal>
+ <goal name="WP_parameter subst_free_var_propagation_fo_term_fo_term_tableau" expl="VC for subst_free_var_propagation_fo_term_fo_term_tableau">
+ <transf name="split_goal_wp">
+ <goal name="WP_parameter subst_free_var_propagation_fo_term_fo_term_tableau.1" expl="1. postcondition">
+ <proof prover="2"><result status="valid" time="0.09" steps="12"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_free_var_propagation_fo_term_fo_term_tableau.2" expl="2. variant decrease">
+ <proof prover="2"><result status="valid" time="0.09" steps="10"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_free_var_propagation_fo_term_fo_term_tableau.3" expl="3. assertion">
+ <proof prover="2"><result status="valid" time="0.09" steps="7"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_free_var_propagation_fo_term_fo_term_tableau.4" expl="4. assertion">
+ <proof prover="2"><result status="valid" time="0.08" steps="7"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_free_var_propagation_fo_term_fo_term_tableau.5" expl="5. assertion">
+ <proof prover="2"><result status="valid" time="0.09" steps="7"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_free_var_propagation_fo_term_fo_term_tableau.6" expl="6. postcondition">
+ <proof prover="2"><result status="valid" time="0.14" steps="264"/></proof>
+ </goal>
+ </transf>
+ </goal>
+ <goal name="WP_parameter free_var_equivalence_of_subst_tableau" expl="VC for free_var_equivalence_of_subst_tableau">
+ <proof prover="2"><result status="valid" time="0.35" steps="563"/></proof>
+ </goal>
+ <goal name="WP_parameter free_var_equivalence_of_rename_tableau" expl="VC for free_var_equivalence_of_rename_tableau">
+ <proof prover="2"><result status="valid" time="0.17" steps="251"/></proof>
+ </goal>
+ <goal name="WP_parameter free_var_derive_equivalence_of_subst_tableau" expl="VC for free_var_derive_equivalence_of_subst_tableau">
+ <proof prover="2"><result status="valid" time="0.64" steps="935"/></proof>
+ </goal>
+ <goal name="WP_parameter free_var_derive_equivalence_of_rename_tableau" expl="VC for free_var_derive_equivalence_of_rename_tableau">
+ <transf name="split_goal_wp">
+ <goal name="WP_parameter free_var_derive_equivalence_of_rename_tableau.1" expl="1. precondition">
+ <proof prover="2"><result status="valid" time="0.09" steps="6"/></proof>
+ </goal>
+ <goal name="WP_parameter free_var_derive_equivalence_of_rename_tableau.2" expl="2. assertion">
+ <proof prover="2"><result status="valid" time="0.12" steps="25"/></proof>
+ </goal>
+ <goal name="WP_parameter free_var_derive_equivalence_of_rename_tableau.3" expl="3. assertion">
+ <proof prover="2"><result status="valid" time="0.12" steps="45"/></proof>
+ </goal>
+ <goal name="WP_parameter free_var_derive_equivalence_of_rename_tableau.4" expl="4. postcondition">
+ <proof prover="3"><result status="valid" time="1.36"/></proof>
+ </goal>
+ <goal name="WP_parameter free_var_derive_equivalence_of_rename_tableau.5" expl="5. postcondition">
+ <proof prover="3"><result status="valid" time="1.52"/></proof>
+ </goal>
+ </transf>
+ </goal>
+</theory>
+</file>
</why3session>
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diff --git a/examples/in_progress/prover/Firstorder_term_spec/why3session.xml b/examples/in_progress/prover/Firstorder_term_spec/why3session.xml
index 97f63719e4..ca8523856d 100644
--- a/examples/in_progress/prover/Firstorder_term_spec/why3session.xml
+++ b/examples/in_progress/prover/Firstorder_term_spec/why3session.xml
@@ -1,3210 +1,460 @@
<?xml version="1.0" encoding="UTF-8"?>
-<!DOCTYPE why3session PUBLIC "-//Why3//proof session v2//EN" "http://why3.lri.fr/why3session.dtd">
-<why3session shape_version="3">
- <prover
- id="0"
- name="Alt-Ergo"
- version="0.95.1"/>
- <prover
- id="1"
- name="CVC3"
- version="2.4.1"/>
- <prover
- id="2"
- name="CVC4"
- version="1.0"/>
- <file
- name="../Firstorder_term_spec.mlw"
- verified="true"
- expanded="true">
- <theory
- name="Spec"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="1" loccnumb="7" loccnume="11"
- verified="true"
- expanded="true">
- <goal
- name="WP_parameter size_positive_lemma_fo_term_list"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="47" loccnumb="16" loccnume="48"
- expl="VC for size_positive_lemma_fo_term_list"
- sum="9e1d7e792a7f1b1e5c141c150a4c7dc0"
- proved="true"
- expanded="false"
- shape="Cainfix >asize_fo_term_listV0c0aFONilainfix >asize_fo_term_listV0c0Iainfix >asize_fo_term_listV2c0Aainfix <anat_to_intanat_size_fo_term_listV2anat_to_intanat_size_fo_term_listV0Aainfix <=c0anat_to_intanat_size_fo_term_listV0Iainfix >asize_fo_termV1c0Aainfix <anat_to_intanat_size_fo_termV1anat_to_intanat_size_fo_term_listV0Aainfix <=c0anat_to_intanat_size_fo_term_listV0aFOConsVVV0F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for size_positive_lemma_fo_term_list"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.06"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter size_positive_lemma_fo_term"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="56" loccnumb="13" loccnume="40"
- expl="VC for size_positive_lemma_fo_term"
- sum="1c644489cbd1f4179be5b233e84b720e"
- proved="true"
- expanded="false"
- shape="Cainfix >asize_fo_termV0c0aVar_fo_termVainfix >asize_fo_termV0c0Iainfix >asize_fo_term_listV3c0Aainfix <anat_to_intanat_size_fo_term_listV3anat_to_intanat_size_fo_termV0Aainfix <=c0anat_to_intanat_size_fo_termV0Iainfix >asize_symbolV2c0aAppVVV0F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for size_positive_lemma_fo_term"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.03"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter renaming_composition_lemma_fo_term_list"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="78" loccnumb="16" loccnume="55"
- expl="VC for renaming_composition_lemma_fo_term_list"
- sum="cd28c4a56db0b1c49f43b612edbab82e"
- proved="true"
- expanded="false"
- shape="Cainfix =arename_fo_term_listarename_fo_term_listV0V1V2V3V4arename_fo_term_listV0arcomposeV1V3arcomposeV2V4aFONilainfix =arename_fo_term_listarename_fo_term_listV0V1V2V3V4arename_fo_term_listV0arcomposeV1V3arcomposeV2V4Iainfix =arename_fo_term_listarename_fo_term_listV6V1V2V3V4arename_fo_term_listV6arcomposeV1V3arcomposeV2V4Aainfix <asize_fo_term_listV6asize_fo_term_listV0Aainfix <=c0asize_fo_term_listV0Iainfix =arename_fo_termarename_fo_termV5V1V2V3V4arename_fo_termV5arcomposeV1V3arcomposeV2V4Aainfix <asize_fo_termV5asize_fo_term_listV0Aainfix <=c0asize_fo_term_listV0aFOConsVVV0F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for renaming_composition_lemma_fo_term_list"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.03"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter renaming_composition_lemma_fo_term"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="90" loccnumb="13" loccnume="47"
- expl="VC for renaming_composition_lemma_fo_term"
- sum="9e6d0a6a6cf3e78e1d72dc8fe04c2940"
- proved="true"
- expanded="false"
- shape="Cainfix =arename_fo_termarename_fo_termV0V1V2V3V4arename_fo_termV0arcomposeV1V3arcomposeV2V4aVar_fo_termVainfix =arename_fo_termarename_fo_termV0V1V2V3V4arename_fo_termV0arcomposeV1V3arcomposeV2V4Iainfix =arename_fo_term_listarename_fo_term_listV7V1V2V3V4arename_fo_term_listV7arcomposeV1V3arcomposeV2V4Aainfix <asize_fo_term_listV7asize_fo_termV0Aainfix <=c0asize_fo_termV0Iainfix =CaVar_symbolainfix @!V3ainfix @!V1V8aVar_symbolVV6CaVar_symbolainfix @!arcomposeV1V3V9aVar_symbolVV6aAppVVV0F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for renaming_composition_lemma_fo_term"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.02"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter renaming_identity_lemma_fo_term_list"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="102" loccnumb="16" loccnume="52"
- expl="VC for renaming_identity_lemma_fo_term_list"
- sum="a5234a394241cff69413438657f904fa"
- proved="true"
- expanded="false"
- shape="Cainfix =arename_fo_term_listV0aidentityaidentityV0aFONilainfix =arename_fo_term_listV0aidentityaidentityV0Iainfix =arename_fo_term_listV2aidentityaidentityV2Aainfix <asize_fo_term_listV2asize_fo_term_listV0Aainfix <=c0asize_fo_term_listV0Iainfix =arename_fo_termV1aidentityaidentityV1Aainfix <asize_fo_termV1asize_fo_term_listV0Aainfix <=c0asize_fo_term_listV0aFOConsVVV0F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for renaming_identity_lemma_fo_term_list"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.04"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter renaming_identity_lemma_fo_term"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="112" loccnumb="13" loccnume="44"
- expl="VC for renaming_identity_lemma_fo_term"
- sum="303d7c6eda1a2f056bef6dfa2d1e3d31"
- proved="true"
- expanded="false"
- shape="Cainfix =arename_fo_termV0aidentityaidentityV0aVar_fo_termVainfix =arename_fo_termV0aidentityaidentityV0Iainfix =arename_fo_term_listV3aidentityaidentityV3Aainfix <asize_fo_term_listV3asize_fo_termV0Aainfix <=c0asize_fo_termV0Iainfix =CaVar_symbolainfix @!aidentityV4aVar_symbolVV2V2aAppVVV0F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for renaming_identity_lemma_fo_term"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.03"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter associativity_subst_rename_rename_lemma_fo_term"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="133" loccnumb="12" loccnume="59"
- expl="VC for associativity_subst_rename_rename_lemma_fo_term"
- sum="fb3742b72285ca8c15d14cdd1290af10"
- proved="true"
- expanded="false"
- shape="ainfix =arename_subst_fo_termV0arcomposeV1V3arcomposeV2V4arename_subst_fo_termarename_subst_fo_termV0V1V2V3V4AaextensionalEqualarename_subst_fo_termV0arcomposeV1V3arcomposeV2V4arename_subst_fo_termarename_subst_fo_termV0V1V2V3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for associativity_subst_rename_rename_lemma_fo_term"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.02"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter associativity_rename_subst_rename_lemma_fo_term"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="145" loccnumb="12" loccnume="59"
- expl="VC for associativity_rename_subst_rename_lemma_fo_term"
- sum="b81b5c2ee39e1eb8e68491286b116994"
- proved="true"
- expanded="false"
- shape="ainfix =arcomposeV0arename_subst_fo_termV1V2V3arename_subst_fo_termarcomposeV0V1V2V3AaextensionalEqualarcomposeV0arename_subst_fo_termV1V2V3arename_subst_fo_termarcomposeV0V1V2V3F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for associativity_rename_subst_rename_lemma_fo_term"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.02"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter right_rename_subst_by_identity_lemma_fo_term"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="156" loccnumb="12" loccnume="56"
- expl="VC for right_rename_subst_by_identity_lemma_fo_term"
- sum="14cef1ab868fa4c558f0286bbe07f0ee"
- proved="true"
- expanded="false"
- shape="ainfix =arename_subst_fo_termV0aidentityaidentityV0AaextensionalEqualarename_subst_fo_termV0aidentityaidentityV0F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for right_rename_subst_by_identity_lemma_fo_term"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.03"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter olifts_composition_lemma_rename_subst_fo_term"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="166" loccnumb="12" loccnume="57"
- expl="VC for olifts_composition_lemma_rename_subst_fo_term"
- sum="76854af5335af4d617de7deb3542f8cd"
- proved="true"
- expanded="false"
- shape="ainfix =aolifts_fo_termarcomposeV0V1arcomposeaoliftV0aolifts_fo_termV1AaextensionalEqualaolifts_fo_termarcomposeV0V1arcomposeaoliftV0aolifts_fo_termV1ACainfix =ainfix @!aolifts_fo_termarcomposeV0V1V2ainfix @!arcomposeaoliftV0aolifts_fo_termV1V2aNoneainfix =ainfix @!arename_subst_fo_termaolifts_fo_termV1aidentityaidentityainfix @!arcomposeV0asomeV3ainfix @!arcomposeaoliftV0aolifts_fo_termV1V2Aainfix =ainfix @!arcomposeV0arename_subst_fo_termV1aidentityasomeV3ainfix @!arename_subst_fo_termaolifts_fo_termV1aidentityaidentityainfix @!arcomposeV0asomeV3Aainfix =ainfix @!aolifts_fo_termarcomposeV0V1V2ainfix @!arcomposeV0arename_subst_fo_termV1aidentityasomeV3aSomeVV2FF">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for olifts_composition_lemma_rename_subst_fo_term"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.17"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter olifts_composition_lemma_subst_rename_fo_term"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="189" loccnumb="12" loccnume="57"
- expl="VC for olifts_composition_lemma_subst_rename_fo_term"
- sum="73859b3897b044644056453dd6e7e09c"
- proved="true"
- expanded="false"
- shape="ainfix =aolifts_fo_termarename_subst_fo_termV0V1V2arename_subst_fo_termaolifts_fo_termV0V1aoliftV2AaextensionalEqualaolifts_fo_termarename_subst_fo_termV0V1V2arename_subst_fo_termaolifts_fo_termV0V1aoliftV2ACainfix =ainfix @!aolifts_fo_termarename_subst_fo_termV0V1V2V3ainfix @!arename_subst_fo_termaolifts_fo_termV0V1aoliftV2V3aNoneainfix =arename_fo_termarename_fo_termainfix @!V0V4aidentityasomeV1aoliftV2ainfix @!arename_subst_fo_termaolifts_fo_termV0V1aoliftV2V3Aainfix =ainfix @!arename_subst_fo_termV0V1arcomposeV2asomeV4arename_fo_termarename_fo_termainfix @!V0V4aidentityasomeV1aoliftV2Aainfix =ainfix @!aolifts_fo_termarename_subst_fo_termV0V1V2V3ainfix @!arename_subst_fo_termV0V1arcomposeV2asomeV4aSomeVV3FF">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for olifts_composition_lemma_subst_rename_fo_term"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.08"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter rename_then_subst_composition_lemma_fo_term_list"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="234" loccnumb="16" loccnume="64"
- expl="VC for rename_then_subst_composition_lemma_fo_term_list"
- sum="13f6b3f26beb3cd317049cc30aae0c2b"
- proved="true"
- expanded="false"
- shape="Cainfix =asubst_fo_term_listarename_fo_term_listV0V1V2V3V4asubst_fo_term_listV0arcomposeV1V3arcomposeV2V4aFONilainfix =asubst_fo_term_listarename_fo_term_listV0V1V2V3V4asubst_fo_term_listV0arcomposeV1V3arcomposeV2V4Iainfix =asubst_fo_term_listarename_fo_term_listV6V1V2V10V9asubst_fo_term_listV6arcomposeV1V10arcomposeV2V9Aainfix <asize_fo_term_listV6asize_fo_term_listV0Aainfix <=c0asize_fo_term_listV0Larename_subst_symbolV3aidentityLarename_subst_fo_termV4aidentityaidentityIainfix =asubst_fo_termarename_fo_termV5V1V2V8V7asubst_fo_termV5arcomposeV1V8arcomposeV2V7Aainfix <asize_fo_termV5asize_fo_term_listV0Aainfix <=c0asize_fo_term_listV0Larename_subst_symbolV3aidentityLarename_subst_fo_termV4aidentityaidentityaFOConsVVV0F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for rename_then_subst_composition_lemma_fo_term_list"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.06"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter rename_then_subst_composition_lemma_fo_term"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="250" loccnumb="13" loccnume="56"
- expl="VC for rename_then_subst_composition_lemma_fo_term"
- sum="ea9907963deb84eff890d72be0c538a6"
- proved="true"
- expanded="false"
- shape="Cainfix =asubst_fo_termarename_fo_termV0V1V2V3V4asubst_fo_termV0arcomposeV1V3arcomposeV2V4aVar_fo_termVainfix =asubst_fo_termarename_fo_termV0V1V2V3V4asubst_fo_termV0arcomposeV1V3arcomposeV2V4Iainfix =asubst_fo_term_listarename_fo_term_listV7V1V2V10V9asubst_fo_term_listV7arcomposeV1V10arcomposeV2V9Aainfix <asize_fo_term_listV7asize_fo_termV0Aainfix <=c0asize_fo_termV0Larename_subst_symbolV3aidentityLarename_subst_fo_termV4aidentityaidentityIainfix =Cainfix @!V8ainfix @!V1V11aVar_symbolVV6Cainfix @!arcomposeV1V8V12aVar_symbolVV6Larename_subst_symbolV3aidentityaAppVVV0F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for rename_then_subst_composition_lemma_fo_term"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.05"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_then_rename_composition_lemma_fo_term_list"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="265" loccnumb="16" loccnume="64"
- expl="VC for subst_then_rename_composition_lemma_fo_term_list"
- sum="05f821c650365d5ed48eba6ee5ac3dd2"
- proved="true"
- expanded="false"
- shape="Cainfix =arename_fo_term_listasubst_fo_term_listV0V1V2V3V4asubst_fo_term_listV0arename_subst_symbolV1V3arename_subst_fo_termV2V3V4aFONilainfix =arename_fo_term_listasubst_fo_term_listV0V1V2V3V4asubst_fo_term_listV0arename_subst_symbolV1V3arename_subst_fo_termV2V3V4Iainfix =arename_fo_term_listasubst_fo_term_listV6V10V9V3V4asubst_fo_term_listV6arename_subst_symbolV10V3arename_subst_fo_termV9V3V4Aainfix <asize_fo_term_listV6asize_fo_term_listV0Aainfix <=c0asize_fo_term_listV0Larename_subst_symbolV1aidentityLarename_subst_fo_termV2aidentityaidentityIainfix =arename_fo_termasubst_fo_termV5V8V7V3V4asubst_fo_termV5arename_subst_symbolV8V3arename_subst_fo_termV7V3V4Aainfix <asize_fo_termV5asize_fo_term_listV0Aainfix <=c0asize_fo_term_listV0Larename_subst_symbolV1aidentityLarename_subst_fo_termV2aidentityaidentityaFOConsVVV0F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_then_rename_composition_lemma_fo_term_list"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.08"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_then_rename_composition_lemma_fo_term"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="284" loccnumb="13" loccnume="56"
- expl="VC for subst_then_rename_composition_lemma_fo_term"
- sum="035fb433e8e133a1271c2e456107ba2d"
- proved="true"
- expanded="false"
- shape="Cainfix =arename_fo_termasubst_fo_termV0V1V2V3V4asubst_fo_termV0arename_subst_symbolV1V3arename_subst_fo_termV2V3V4aVar_fo_termVainfix =arename_fo_termasubst_fo_termV0V1V2V3V4asubst_fo_termV0arename_subst_symbolV1V3arename_subst_fo_termV2V3V4Iainfix =arename_fo_term_listasubst_fo_term_listV7V10V9V3V4asubst_fo_term_listV7arename_subst_symbolV10V3arename_subst_fo_termV9V3V4Aainfix <asize_fo_term_listV7asize_fo_termV0Aainfix <=c0asize_fo_termV0Larename_subst_symbolV1aidentityLarename_subst_fo_termV2aidentityaidentityIainfix =CaVar_symbolainfix @!V3V11aVar_symbolVCainfix @!V8V12aVar_symbolVV6Cainfix @!arename_subst_symbolV8V3V13aVar_symbolVV6Larename_subst_symbolV1aidentityaAppVVV0F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_then_rename_composition_lemma_fo_term"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.06"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter associativity_rename_subst_subst_lemma_fo_term"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="314" loccnumb="12" loccnume="58"
- expl="VC for associativity_rename_subst_subst_lemma_fo_term"
- sum="84886373318c1aba1e0cb19c83179b6b"
- proved="true"
- expanded="false"
- shape="ainfix =arcomposeV0asubst_compose_fo_termV1V2V3asubst_compose_fo_termarcomposeV0V1V2V3AaextensionalEqualarcomposeV0asubst_compose_fo_termV1V2V3asubst_compose_fo_termarcomposeV0V1V2V3F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for associativity_rename_subst_subst_lemma_fo_term"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.02"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter associativity_subst_rename_subst_lemma_fo_term"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="325" loccnumb="12" loccnume="58"
- expl="VC for associativity_subst_rename_subst_lemma_fo_term"
- sum="d0b9e687556023d6bc0ec65dc07640be"
- proved="true"
- expanded="false"
- shape="ainfix =asubst_compose_fo_termV0arcomposeV1V3arcomposeV2V4asubst_compose_fo_termarename_subst_fo_termV0V1V2V3V4AaextensionalEqualasubst_compose_fo_termV0arcomposeV1V3arcomposeV2V4asubst_compose_fo_termarename_subst_fo_termV0V1V2V3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for associativity_subst_rename_subst_lemma_fo_term"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.04"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter associativity_subst_subst_rename_lemma_fo_term"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="337" loccnumb="12" loccnume="58"
- expl="VC for associativity_subst_subst_rename_lemma_fo_term"
- sum="079201ceb9ffe06378293777a4999f0c"
- proved="true"
- expanded="false"
- shape="ainfix =asubst_compose_fo_termV0arename_subst_symbolV1V3arename_subst_fo_termV2V3V4arename_subst_fo_termasubst_compose_fo_termV0V1V2V3V4AaextensionalEqualasubst_compose_fo_termV0arename_subst_symbolV1V3arename_subst_fo_termV2V3V4arename_subst_fo_termasubst_compose_fo_termV0V1V2V3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for associativity_subst_subst_rename_lemma_fo_term"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.02"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter olifts_composition_lemma_subst_subst_fo_term"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="353" loccnumb="12" loccnume="56"
- expl="VC for olifts_composition_lemma_subst_subst_fo_term"
- sum="597b0d38cb4cbbeb76b60647d90bb311"
- proved="true"
- expanded="false"
- shape="ainfix =aolifts_fo_termasubst_compose_fo_termV0V1V2asubst_compose_fo_termaolifts_fo_termV0arename_subst_symbolV1aidentityaolifts_fo_termV2AaextensionalEqualaolifts_fo_termasubst_compose_fo_termV0V1V2asubst_compose_fo_termaolifts_fo_termV0arename_subst_symbolV1aidentityaolifts_fo_termV2ACainfix =ainfix @!aolifts_fo_termasubst_compose_fo_termV0V1V2V3ainfix @!asubst_compose_fo_termaolifts_fo_termV0arename_subst_symbolV1aidentityaolifts_fo_termV2V3aNoneainfix =asubst_fo_termarename_fo_termainfix @!V0V4aidentityasomearename_subst_symbolV1aidentityarename_subst_fo_termaolifts_fo_termV2aidentityaidentityainfix @!asubst_compose_fo_termaolifts_fo_termV0arename_subst_symbolV1aidentityaolifts_fo_termV2V3Aainfix =ainfix @!asubst_compose_fo_termV0arename_subst_symbolV1aidentityarename_subst_fo_termV2aidentityasomeV4asubst_fo_termarename_fo_termainfix @!V0V4aidentityasomearename_subst_symbolV1aidentityarename_subst_fo_termaolifts_fo_termV2aidentityaidentityAainfix =ainfix @!aolifts_fo_termasubst_compose_fo_termV0V1V2V3ainfix @!asubst_compose_fo_termV0arename_subst_symbolV1aidentityarename_subst_fo_termV2aidentityasomeV4aSomeVV3FF">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for olifts_composition_lemma_subst_subst_fo_term"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.60"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_composition_lemma_fo_term_list"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="390" loccnumb="16" loccnume="52"
- expl="VC for subst_composition_lemma_fo_term_list"
- sum="9c7425009fe98359063a188c4f375359"
- proved="true"
- expanded="false"
- shape="Cainfix =asubst_fo_term_listasubst_fo_term_listV0V1V2V3V4asubst_fo_term_listV0asubst_compose_symbolV1V3asubst_compose_fo_termV2V3V4aFONilainfix =asubst_fo_term_listasubst_fo_term_listV0V1V2V3V4asubst_fo_term_listV0asubst_compose_symbolV1V3asubst_compose_fo_termV2V3V4Iainfix =asubst_fo_term_listasubst_fo_term_listV6V14V13V12V11asubst_fo_term_listV6asubst_compose_symbolV14V12asubst_compose_fo_termV13V12V11Aainfix <asize_fo_term_listV6asize_fo_term_listV0Aainfix <=c0asize_fo_term_listV0Larename_subst_symbolV1aidentityLarename_subst_fo_termV2aidentityaidentityLarename_subst_symbolV3aidentityLarename_subst_fo_termV4aidentityaidentityIainfix =asubst_fo_termasubst_fo_termV5V10V9V8V7asubst_fo_termV5asubst_compose_symbolV10V8asubst_compose_fo_termV9V8V7Aainfix <asize_fo_termV5asize_fo_term_listV0Aainfix <=c0asize_fo_term_listV0Larename_subst_symbolV1aidentityLarename_subst_fo_termV2aidentityaidentityLarename_subst_symbolV3aidentityLarename_subst_fo_termV4aidentityaidentityaFOConsVVV0F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_composition_lemma_fo_term_list"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="true"
- archived="false">
- <result status="timeout" time="0.98"/>
- </proof>
- <transf
- name="split_goal_wp"
- proved="true"
- expanded="false">
- <goal
- name="WP_parameter subst_composition_lemma_fo_term_list.1"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="390" loccnumb="16" loccnume="52"
- expl="1. postcondition"
- sum="c1d85a3672e50dbf4a1ee6fbe0c3819c"
- proved="true"
- expanded="false"
- shape="postconditionCainfix =asubst_fo_term_listasubst_fo_term_listV0V1V2V3V4asubst_fo_term_listV0asubst_compose_symbolV1V3asubst_compose_fo_termV2V3V4aFONiltaFOConsVVV0F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_composition_lemma_fo_term_list"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.04"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_composition_lemma_fo_term_list.2"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="390" loccnumb="16" loccnume="52"
- expl="2. variant decrease"
- sum="b2c77c4c1c4e7830c8b512f66c2ee139"
- proved="true"
- expanded="false"
- shape="variant decreaseCtaFONilainfix <asize_fo_termV5asize_fo_term_listV0Aainfix <=c0asize_fo_term_listV0Larename_subst_symbolV1aidentityLarename_subst_fo_termV2aidentityaidentityLarename_subst_symbolV3aidentityLarename_subst_fo_termV4aidentityaidentityaFOConsVVV0F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_composition_lemma_fo_term_list"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.02"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_composition_lemma_fo_term_list.3"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="390" loccnumb="16" loccnume="52"
- expl="3. variant decrease"
- sum="48921cd2fd66af0512b29ca370a30e54"
- proved="true"
- expanded="false"
- shape="variant decreaseCtaFONilainfix <asize_fo_term_listV6asize_fo_term_listV0Aainfix <=c0asize_fo_term_listV0Larename_subst_symbolV1aidentityLarename_subst_fo_termV2aidentityaidentityLarename_subst_symbolV3aidentityLarename_subst_fo_termV4aidentityaidentityIainfix =asubst_fo_termasubst_fo_termV5V10V9V8V7asubst_fo_termV5asubst_compose_symbolV10V8asubst_compose_fo_termV9V8V7Larename_subst_symbolV1aidentityLarename_subst_fo_termV2aidentityaidentityLarename_subst_symbolV3aidentityLarename_subst_fo_termV4aidentityaidentityaFOConsVVV0F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_composition_lemma_fo_term_list"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.04"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_composition_lemma_fo_term_list.4"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="390" loccnumb="16" loccnume="52"
- expl="4. postcondition"
- sum="1abe486dd883f9e140b089314e441a83"
- proved="true"
- expanded="false"
- shape="postconditionCtaFONilainfix =asubst_fo_term_listasubst_fo_term_listV0V1V2V3V4asubst_fo_term_listV0asubst_compose_symbolV1V3asubst_compose_fo_termV2V3V4Iainfix =asubst_fo_term_listasubst_fo_term_listV6V14V13V12V11asubst_fo_term_listV6asubst_compose_symbolV14V12asubst_compose_fo_termV13V12V11Larename_subst_symbolV1aidentityLarename_subst_fo_termV2aidentityaidentityLarename_subst_symbolV3aidentityLarename_subst_fo_termV4aidentityaidentityIainfix =asubst_fo_termasubst_fo_termV5V10V9V8V7asubst_fo_termV5asubst_compose_symbolV10V8asubst_compose_fo_termV9V8V7Larename_subst_symbolV1aidentityLarename_subst_fo_termV2aidentityaidentityLarename_subst_symbolV3aidentityLarename_subst_fo_termV4aidentityaidentityaFOConsVVV0F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_composition_lemma_fo_term_list"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.05"/>
- </proof>
- </goal>
- </transf>
- </goal>
- <goal
- name="WP_parameter subst_composition_lemma_fo_term"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="411" loccnumb="13" loccnume="44"
- expl="VC for subst_composition_lemma_fo_term"
- sum="c9323276ab7af89721a2a134c89262d6"
- proved="true"
- expanded="false"
- shape="Cainfix =asubst_fo_termasubst_fo_termV0V1V2V3V4asubst_fo_termV0asubst_compose_symbolV1V3asubst_compose_fo_termV2V3V4aVar_fo_termVainfix =asubst_fo_termasubst_fo_termV0V1V2V3V4asubst_fo_termV0asubst_compose_symbolV1V3asubst_compose_fo_termV2V3V4Iainfix =asubst_fo_term_listasubst_fo_term_listV7V13V12V11V10asubst_fo_term_listV7asubst_compose_symbolV13V11asubst_compose_fo_termV12V11V10Aainfix <asize_fo_term_listV7asize_fo_termV0Aainfix <=c0asize_fo_termV0Larename_subst_symbolV1aidentityLarename_subst_fo_termV2aidentityaidentityLarename_subst_symbolV3aidentityLarename_subst_fo_termV4aidentityaidentityIainfix =Cainfix @!V8V14aVar_symbolVCainfix @!V9V15aVar_symbolVV6Cainfix @!asubst_compose_symbolV9V8V16aVar_symbolVV6Larename_subst_symbolV1aidentityLarename_subst_symbolV3aidentityaAppVVV0F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_composition_lemma_fo_term"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="true"
- archived="false">
- <result status="timeout" time="0.99"/>
- </proof>
- <transf
- name="split_goal_wp"
- proved="true"
- expanded="false">
- <goal
- name="WP_parameter subst_composition_lemma_fo_term.1"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="411" loccnumb="13" loccnume="44"
- expl="1. postcondition"
- sum="aa26c805f8601c12dbb8a6a487e8f778"
- proved="true"
- expanded="false"
- shape="postconditionCainfix =asubst_fo_termasubst_fo_termV0V1V2V3V4asubst_fo_termV0asubst_compose_symbolV1V3asubst_compose_fo_termV2V3V4aVar_fo_termVtaAppVVV0F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_composition_lemma_fo_term"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.04"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_composition_lemma_fo_term.2"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="411" loccnumb="13" loccnume="44"
- expl="2. variant decrease"
- sum="582aa36f56b52df7edca727661a37e21"
- proved="true"
- expanded="false"
- shape="variant decreaseCtaVar_fo_termVainfix <asize_fo_term_listV7asize_fo_termV0Aainfix <=c0asize_fo_termV0Larename_subst_symbolV1aidentityLarename_subst_fo_termV2aidentityaidentityLarename_subst_symbolV3aidentityLarename_subst_fo_termV4aidentityaidentityIainfix =Cainfix @!V8V14aVar_symbolVCainfix @!V9V15aVar_symbolVV6Cainfix @!asubst_compose_symbolV9V8V16aVar_symbolVV6Larename_subst_symbolV1aidentityLarename_subst_symbolV3aidentityaAppVVV0F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_composition_lemma_fo_term"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.04"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_composition_lemma_fo_term.3"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="411" loccnumb="13" loccnume="44"
- expl="3. postcondition"
- sum="8d99bfa79feba80019645153603898a6"
- proved="true"
- expanded="false"
- shape="postconditionCtaVar_fo_termVainfix =asubst_fo_termasubst_fo_termV0V1V2V3V4asubst_fo_termV0asubst_compose_symbolV1V3asubst_compose_fo_termV2V3V4Iainfix =asubst_fo_term_listasubst_fo_term_listV7V13V12V11V10asubst_fo_term_listV7asubst_compose_symbolV13V11asubst_compose_fo_termV12V11V10Larename_subst_symbolV1aidentityLarename_subst_fo_termV2aidentityaidentityLarename_subst_symbolV3aidentityLarename_subst_fo_termV4aidentityaidentityIainfix =Cainfix @!V8V14aVar_symbolVCainfix @!V9V15aVar_symbolVV6Cainfix @!asubst_compose_symbolV9V8V16aVar_symbolVV6Larename_subst_symbolV1aidentityLarename_subst_symbolV3aidentityaAppVVV0F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_composition_lemma_fo_term"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.04"/>
- </proof>
- </goal>
- </transf>
- </goal>
- <goal
- name="WP_parameter associativity_subst_subst_subst_lemma_fo_term"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="430" loccnumb="12" loccnume="57"
- expl="VC for associativity_subst_subst_subst_lemma_fo_term"
- sum="0bba63c0d4106d993ddc2cd16b47809c"
- proved="true"
- expanded="false"
- shape="ainfix =asubst_compose_fo_termV0asubst_compose_symbolV1V3asubst_compose_fo_termV2V3V4asubst_compose_fo_termasubst_compose_fo_termV0V1V2V3V4AaextensionalEqualasubst_compose_fo_termV0asubst_compose_symbolV1V3asubst_compose_fo_termV2V3V4asubst_compose_fo_termasubst_compose_fo_termV0V1V2V3V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for associativity_subst_subst_subst_lemma_fo_term"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.03"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter olifts_identity_fo_term"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="457" loccnumb="12" loccnume="35"
- expl="VC for olifts_identity_fo_term"
- sum="c33fc678a97c34bf8375d9d86d5d85b7"
- proved="true"
- expanded="false"
- shape="ainfix =aolifts_fo_termasubst_id_fo_termasubst_id_fo_termAaextensionalEqualaolifts_fo_termasubst_id_fo_termasubst_id_fo_termACainfix =ainfix @!aolifts_fo_termasubst_id_fo_termV0ainfix @!asubst_id_fo_termV0aNoneainfix =ainfix @!aolifts_fo_termasubst_id_fo_termV0ainfix @!asubst_id_fo_termV0aSomeVV0F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for olifts_identity_fo_term"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="true"
- archived="false">
- <result status="timeout" time="0.85"/>
- </proof>
- <transf
- name="split_goal_wp"
- proved="true"
- expanded="false">
- <goal
- name="WP_parameter olifts_identity_fo_term.1"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="457" loccnumb="12" loccnume="35"
- expl="1. assertion"
- sum="a98a0c3ec60f803fe011258281228e3f"
- proved="true"
- expanded="false"
- shape="assertionCainfix =ainfix @!aolifts_fo_termasubst_id_fo_termV0ainfix @!asubst_id_fo_termV0aNoneainfix =ainfix @!aolifts_fo_termasubst_id_fo_termV0ainfix @!asubst_id_fo_termV0aSomeVV0F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for olifts_identity_fo_term"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="true"
- archived="false">
- <result status="timeout" time="0.99"/>
- </proof>
- <transf
- name="split_goal_wp"
- proved="true"
- expanded="false">
- <goal
- name="WP_parameter olifts_identity_fo_term.1.1"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="457" loccnumb="12" loccnume="35"
- expl="1. assertion"
- sum="eafe56d597a4e194fc0296341c2040ce"
- proved="true"
- expanded="false"
- shape="assertionCainfix =ainfix @!aolifts_fo_termasubst_id_fo_termV0ainfix @!asubst_id_fo_termV0aNonetaSomeVV0F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for olifts_identity_fo_term"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.02"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter olifts_identity_fo_term.1.2"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="457" loccnumb="12" loccnume="35"
- expl="2. assertion"
- sum="be1b9de4a3584395c9b4c3c12fb7dfaf"
- proved="true"
- expanded="false"
- shape="assertionCtaNoneainfix =ainfix @!aolifts_fo_termasubst_id_fo_termV0ainfix @!asubst_id_fo_termV0aSomeVV0F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for olifts_identity_fo_term"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.04"/>
- </proof>
- </goal>
- </transf>
- </goal>
- <goal
- name="WP_parameter olifts_identity_fo_term.2"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="457" loccnumb="12" loccnume="35"
- expl="2. assertion"
- sum="339b4876e88b5f15dacde9176fb00743"
- proved="true"
- expanded="false"
- shape="assertionaextensionalEqualaolifts_fo_termasubst_id_fo_termasubst_id_fo_termICainfix =ainfix @!aolifts_fo_termasubst_id_fo_termV0ainfix @!asubst_id_fo_termV0aNoneainfix =ainfix @!aolifts_fo_termasubst_id_fo_termV0ainfix @!asubst_id_fo_termV0aSomeVV0F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for olifts_identity_fo_term"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.03"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter olifts_identity_fo_term.3"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="457" loccnumb="12" loccnume="35"
- expl="3. postcondition"
- sum="1800e6d2b63f6b695b2171c15a2f7200"
- proved="true"
- expanded="false"
- shape="postconditionainfix =aolifts_fo_termasubst_id_fo_termasubst_id_fo_termIaextensionalEqualaolifts_fo_termasubst_id_fo_termasubst_id_fo_termICainfix =ainfix @!aolifts_fo_termasubst_id_fo_termV0ainfix @!asubst_id_fo_termV0aNoneainfix =ainfix @!aolifts_fo_termasubst_id_fo_termV0ainfix @!asubst_id_fo_termV0aSomeVV0F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for olifts_identity_fo_term"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.03"/>
- </proof>
- </goal>
- </transf>
- </goal>
- <goal
- name="WP_parameter left_rename_subst_identity_lemma_fo_term"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="483" loccnumb="12" loccnume="52"
- expl="VC for left_rename_subst_identity_lemma_fo_term"
- sum="91e5633d6def6c359db0653104603e46"
- proved="true"
- expanded="false"
- shape="ainfix =arename_subst_fo_termasubst_id_fo_termV0V1asubst_of_rename_fo_termV1AaextensionalEqualarename_subst_fo_termasubst_id_fo_termV0V1asubst_of_rename_fo_termV1F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for left_rename_subst_identity_lemma_fo_term"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.04"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_identity_lemma_fo_term_list"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="497" loccnumb="16" loccnume="49"
- expl="VC for subst_identity_lemma_fo_term_list"
- sum="ce852597c76f79553143aba793404a12"
- proved="true"
- expanded="false"
- shape="Cainfix =asubst_fo_term_listV0asubst_id_symbolasubst_id_fo_termV0aFONilainfix =asubst_fo_term_listV0asubst_id_symbolasubst_id_fo_termV0Iainfix =asubst_fo_term_listV2asubst_id_symbolasubst_id_fo_termV2Aainfix <asize_fo_term_listV2asize_fo_term_listV0Aainfix <=c0asize_fo_term_listV0Iainfix =asubst_fo_termV1asubst_id_symbolasubst_id_fo_termV1Aainfix <asize_fo_termV1asize_fo_term_listV0Aainfix <=c0asize_fo_term_listV0aFOConsVVV0F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_identity_lemma_fo_term_list"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.06"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_identity_lemma_fo_term"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="507" loccnumb="13" loccnume="41"
- expl="VC for subst_identity_lemma_fo_term"
- sum="9a47b5d4d12f23472d2e581b04823826"
- proved="true"
- expanded="false"
- shape="Cainfix =asubst_fo_termV0asubst_id_symbolasubst_id_fo_termV0aVar_fo_termVainfix =asubst_fo_termV0asubst_id_symbolasubst_id_fo_termV0Iainfix =asubst_fo_term_listV3asubst_id_symbolasubst_id_fo_termV3Aainfix <asize_fo_term_listV3asize_fo_termV0Aainfix <=c0asize_fo_termV0Iainfix =Cainfix @!asubst_id_symbolV4aVar_symbolVV2V2aAppVVV0F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_identity_lemma_fo_term"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.04"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter left_subst_subst_identity_lemma_fo_term"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="516" loccnumb="12" loccnume="51"
- expl="VC for left_subst_subst_identity_lemma_fo_term"
- sum="2ce72dd50a7bd1703a4685059d8d2cd6"
- proved="true"
- expanded="false"
- shape="ainfix =asubst_compose_fo_termasubst_id_fo_termV0V1V1AaextensionalEqualasubst_compose_fo_termasubst_id_fo_termV0V1V1F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for left_subst_subst_identity_lemma_fo_term"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.04"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter right_subst_subst_by_identity_lemma_fo_term"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="530" loccnumb="12" loccnume="55"
- expl="VC for right_subst_subst_by_identity_lemma_fo_term"
- sum="a93b55c6172519f19c97d5b133060017"
- proved="true"
- expanded="false"
- shape="ainfix =asubst_compose_fo_termV0asubst_id_symbolasubst_id_fo_termV0AaextensionalEqualasubst_compose_fo_termV0asubst_id_symbolasubst_id_fo_termV0F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for right_subst_subst_by_identity_lemma_fo_term"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.04"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter renaming_preserve_size_fo_term_list"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="540" loccnumb="16" loccnume="51"
- expl="VC for renaming_preserve_size_fo_term_list"
- sum="a7013d370e6f7f0adad3cc77429e7330"
- proved="true"
- expanded="false"
- shape="Cainfix =asize_fo_term_listarename_fo_term_listV0V1V2asize_fo_term_listV0aFONilainfix =asize_fo_term_listarename_fo_term_listV0V1V2asize_fo_term_listV0Iainfix =asize_fo_term_listarename_fo_term_listV4V1V2asize_fo_term_listV4Aainfix <asize_fo_term_listV4asize_fo_term_listV0Aainfix <=c0asize_fo_term_listV0Iainfix =asize_fo_termarename_fo_termV3V1V2asize_fo_termV3Aainfix <asize_fo_termV3asize_fo_term_listV0Aainfix <=c0asize_fo_term_listV0aFOConsVVV0F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for renaming_preserve_size_fo_term_list"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.05"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter renaming_preserve_size_fo_term"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="551" loccnumb="13" loccnume="43"
- expl="VC for renaming_preserve_size_fo_term"
- sum="b7a2f8a90a181285e2deb3662293fdc2"
- proved="true"
- expanded="false"
- shape="Cainfix =asize_fo_termarename_fo_termV0V1V2asize_fo_termV0aVar_fo_termVainfix =asize_fo_termarename_fo_termV0V1V2asize_fo_termV0Iainfix =asize_fo_term_listarename_fo_term_listV5V1V2asize_fo_term_listV5Aainfix <asize_fo_term_listV5asize_fo_termV0Aainfix <=c0asize_fo_termV0Iainfix =asize_symbolCaVar_symbolainfix @!V1V6aVar_symbolVV4asize_symbolV4aAppVVV0F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for renaming_preserve_size_fo_term"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.04"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter rename_free_var_constructive_inversion_symbol_fo_term_list"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="588" loccnumb="16" loccnume="74"
- expl="VC for rename_free_var_constructive_inversion_symbol_fo_term_list"
- sum="f93d2ea347458ca45d95dff0d7f08053"
- proved="true"
- expanded="false"
- shape="CfaFONiliifainfix =ainfix @!V2V6V0Aais_symbol_free_var_in_fo_term_listV6V1Iainfix =ainfix @!V2V6V0Aais_symbol_free_var_in_fo_term_listV6V5FAais_symbol_free_var_in_fo_term_listV0arename_fo_term_listV5V2V3Aainfix <asize_fo_term_listV5asize_fo_term_listV1Aainfix <=c0asize_fo_term_listV1ais_symbol_free_var_in_fo_term_listV0arename_fo_term_listV5V2V3ainfix =ainfix @!V2V7V0Aais_symbol_free_var_in_fo_term_listV7V1Iainfix =ainfix @!V2V7V0Aais_symbol_free_var_in_fo_termV7V4FAais_symbol_free_var_in_fo_termV0arename_fo_termV4V2V3Aainfix <asize_fo_termV4asize_fo_term_listV1Aainfix <=c0asize_fo_term_listV1ais_symbol_free_var_in_fo_termV0arename_fo_termV4V2V3aFOConsVVV1Iais_symbol_free_var_in_fo_term_listV0arename_fo_term_listV1V2V3F">
- <label
- name="expl:VC for rename_free_var_constructive_inversion_symbol_fo_term_list"/>
- <transf
- name="split_goal_wp"
- proved="true"
- expanded="false">
- <goal
- name="WP_parameter rename_free_var_constructive_inversion_symbol_fo_term_list.1"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="588" loccnumb="16" loccnume="74"
- expl="1. unreachable point"
- sum="a583c079c26b019394587c3c21f6e38d"
- proved="true"
- expanded="false"
- shape="unreachable pointCfaFONiltaFOConsVVV1Iais_symbol_free_var_in_fo_term_listV0arename_fo_term_listV1V2V3F">
- <label
- name="expl:VC for rename_free_var_constructive_inversion_symbol_fo_term_list"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.04"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter rename_free_var_constructive_inversion_symbol_fo_term_list.2"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="588" loccnumb="16" loccnume="74"
- expl="2. variant decrease"
- sum="5996b095c889f474b902c79497e86eae"
- proved="true"
- expanded="false"
- shape="variant decreaseCtaFONilainfix <asize_fo_termV4asize_fo_term_listV1Aainfix <=c0asize_fo_term_listV1Iais_symbol_free_var_in_fo_termV0arename_fo_termV4V2V3aFOConsVVV1Iais_symbol_free_var_in_fo_term_listV0arename_fo_term_listV1V2V3F">
- <label
- name="expl:VC for rename_free_var_constructive_inversion_symbol_fo_term_list"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.04"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter rename_free_var_constructive_inversion_symbol_fo_term_list.3"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="588" loccnumb="16" loccnume="74"
- expl="3. precondition"
- sum="80c95af617b703b19a2e2a8ce38f37eb"
- proved="true"
- expanded="false"
- shape="preconditionCtaFONilais_symbol_free_var_in_fo_termV0arename_fo_termV4V2V3Iais_symbol_free_var_in_fo_termV0arename_fo_termV4V2V3aFOConsVVV1Iais_symbol_free_var_in_fo_term_listV0arename_fo_term_listV1V2V3F">
- <label
- name="expl:VC for rename_free_var_constructive_inversion_symbol_fo_term_list"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.03"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter rename_free_var_constructive_inversion_symbol_fo_term_list.4"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="588" loccnumb="16" loccnume="74"
- expl="4. postcondition"
- sum="8b1e2c11ae864cb3485419276a2b9ec4"
- proved="true"
- expanded="false"
- shape="postconditionCtaFONilainfix =ainfix @!V2V6V0Aais_symbol_free_var_in_fo_term_listV6V1Iainfix =ainfix @!V2V6V0Aais_symbol_free_var_in_fo_termV6V4FIais_symbol_free_var_in_fo_termV0arename_fo_termV4V2V3Iais_symbol_free_var_in_fo_termV0arename_fo_termV4V2V3aFOConsVVV1Iais_symbol_free_var_in_fo_term_listV0arename_fo_term_listV1V2V3F">
- <label
- name="expl:VC for rename_free_var_constructive_inversion_symbol_fo_term_list"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.03"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter rename_free_var_constructive_inversion_symbol_fo_term_list.5"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="588" loccnumb="16" loccnume="74"
- expl="5. variant decrease"
- sum="e74c946e53c6ece9529270b7724f288b"
- proved="true"
- expanded="false"
- shape="variant decreaseCtaFONilainfix <asize_fo_term_listV5asize_fo_term_listV1Aainfix <=c0asize_fo_term_listV1Iais_symbol_free_var_in_fo_term_listV0arename_fo_term_listV5V2V3INais_symbol_free_var_in_fo_termV0arename_fo_termV4V2V3aFOConsVVV1Iais_symbol_free_var_in_fo_term_listV0arename_fo_term_listV1V2V3F">
- <label
- name="expl:VC for rename_free_var_constructive_inversion_symbol_fo_term_list"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.04"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter rename_free_var_constructive_inversion_symbol_fo_term_list.6"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="588" loccnumb="16" loccnume="74"
- expl="6. precondition"
- sum="a5bb21df4609cb3d28cb62e849f1d456"
- proved="true"
- expanded="false"
- shape="preconditionCtaFONilais_symbol_free_var_in_fo_term_listV0arename_fo_term_listV5V2V3Iais_symbol_free_var_in_fo_term_listV0arename_fo_term_listV5V2V3INais_symbol_free_var_in_fo_termV0arename_fo_termV4V2V3aFOConsVVV1Iais_symbol_free_var_in_fo_term_listV0arename_fo_term_listV1V2V3F">
- <label
- name="expl:VC for rename_free_var_constructive_inversion_symbol_fo_term_list"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.03"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter rename_free_var_constructive_inversion_symbol_fo_term_list.7"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="588" loccnumb="16" loccnume="74"
- expl="7. postcondition"
- sum="3983c54a0a49d44700e100b128514924"
- proved="true"
- expanded="false"
- shape="postconditionCtaFONilainfix =ainfix @!V2V6V0Aais_symbol_free_var_in_fo_term_listV6V1Iainfix =ainfix @!V2V6V0Aais_symbol_free_var_in_fo_term_listV6V5FIais_symbol_free_var_in_fo_term_listV0arename_fo_term_listV5V2V3Iais_symbol_free_var_in_fo_term_listV0arename_fo_term_listV5V2V3INais_symbol_free_var_in_fo_termV0arename_fo_termV4V2V3aFOConsVVV1Iais_symbol_free_var_in_fo_term_listV0arename_fo_term_listV1V2V3F">
- <label
- name="expl:VC for rename_free_var_constructive_inversion_symbol_fo_term_list"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.04"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter rename_free_var_constructive_inversion_symbol_fo_term_list.8"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="588" loccnumb="16" loccnume="74"
- expl="8. unreachable point"
- sum="17a4215ddbe79929a7741ad9533224ec"
- proved="true"
- expanded="false"
- shape="unreachable pointCtaFONilfINais_symbol_free_var_in_fo_term_listV0arename_fo_term_listV5V2V3INais_symbol_free_var_in_fo_termV0arename_fo_termV4V2V3aFOConsVVV1Iais_symbol_free_var_in_fo_term_listV0arename_fo_term_listV1V2V3F">
- <label
- name="expl:VC for rename_free_var_constructive_inversion_symbol_fo_term_list"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.05"/>
- </proof>
- </goal>
- </transf>
- </goal>
- <goal
- name="WP_parameter rename_free_var_inversion_symbol_fo_term_list"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="614" loccnumb="13" loccnume="58"
- expl="VC for rename_free_var_inversion_symbol_fo_term_list"
- sum="94780d84015b41ced636a52d7002b270"
- proved="true"
- expanded="false"
- shape="ainfix =ainfix @!V2V5V0Aais_symbol_free_var_in_fo_term_listV5V1EIainfix =ainfix @!V2V4V0Aais_symbol_free_var_in_fo_term_listV4V1FAais_symbol_free_var_in_fo_term_listV0arename_fo_term_listV1V2V3Aainfix <asize_fo_term_listV1ainfix +c1asize_fo_term_listV1Aainfix <=c0ainfix +c1asize_fo_term_listV1Iais_symbol_free_var_in_fo_term_listV0arename_fo_term_listV1V2V3F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for rename_free_var_inversion_symbol_fo_term_list"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.04"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter rename_free_var_constructive_inversion_fo_term_fo_term_list"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="625" loccnumb="13" loccnume="72"
- expl="VC for rename_free_var_constructive_inversion_fo_term_fo_term_list"
- sum="c43ddb77db0d032f6b99d6f5a7042a28"
- proved="true"
- expanded="false"
- shape="CfaFONiliifainfix =ainfix @!V3V6V0Aais_fo_term_free_var_in_fo_term_listV6V1Iainfix =ainfix @!V3V6V0Aais_fo_term_free_var_in_fo_term_listV6V5FAais_fo_term_free_var_in_fo_term_listV0arename_fo_term_listV5V2V3Aainfix <asize_fo_term_listV5asize_fo_term_listV1Aainfix <=c0asize_fo_term_listV1ais_fo_term_free_var_in_fo_term_listV0arename_fo_term_listV5V2V3ainfix =ainfix @!V3V7V0Aais_fo_term_free_var_in_fo_term_listV7V1Iainfix =ainfix @!V3V7V0Aais_fo_term_free_var_in_fo_termV7V4FAais_fo_term_free_var_in_fo_termV0arename_fo_termV4V2V3Aainfix <asize_fo_termV4asize_fo_term_listV1Aainfix <=c0asize_fo_term_listV1ais_fo_term_free_var_in_fo_termV0arename_fo_termV4V2V3aFOConsVVV1Iais_fo_term_free_var_in_fo_term_listV0arename_fo_term_listV1V2V3F">
- <label
- name="expl:VC for rename_free_var_constructive_inversion_fo_term_fo_term_list"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.06"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter rename_free_var_inversion_fo_term_fo_term_list"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="651" loccnumb="13" loccnume="59"
- expl="VC for rename_free_var_inversion_fo_term_fo_term_list"
- sum="930e7db92aaf49e24827d63848502b63"
- proved="true"
- expanded="false"
- shape="ainfix =ainfix @!V3V5V0Aais_fo_term_free_var_in_fo_term_listV5V1EIainfix =ainfix @!V3V4V0Aais_fo_term_free_var_in_fo_term_listV4V1FAais_fo_term_free_var_in_fo_term_listV0arename_fo_term_listV1V2V3Aainfix <asize_fo_term_listV1ainfix +c1asize_fo_term_listV1Aainfix <=c0ainfix +c1asize_fo_term_listV1Iais_fo_term_free_var_in_fo_term_listV0arename_fo_term_listV1V2V3F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for rename_free_var_inversion_fo_term_fo_term_list"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.02"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter rename_free_var_constructive_inversion_symbol_fo_term"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="662" loccnumb="13" loccnume="66"
- expl="VC for rename_free_var_constructive_inversion_symbol_fo_term"
- sum="2818a46a1e3f1dfbef8d2fe038298145"
- proved="true"
- expanded="false"
- shape="CfaVar_fo_termViifainfix =ainfix @!V2V7V0Aais_symbol_free_var_in_fo_termV7V1Iainfix =ainfix @!V2V7V0Aais_symbol_free_var_in_fo_term_listV7V6FAais_symbol_free_var_in_fo_term_listV0arename_fo_term_listV6V2V3Aainfix <asize_fo_term_listV6asize_fo_termV1Aainfix <=c0asize_fo_termV1ais_symbol_free_var_in_fo_term_listV0arename_fo_term_listV6V2V3ainfix =ainfix @!V2V8V0Aais_symbol_free_var_in_fo_termV8V1Iainfix =ainfix @!V2V8V0ACainfix =V9V8aVar_symbolVV5FACainfix =ainfix @!V2V10V0aVar_symbolVV5Cainfix =ainfix @!V2V11V0aVar_symbolVV5aAppVVV1Iais_symbol_free_var_in_fo_termV0arename_fo_termV1V2V3F">
- <label
- name="expl:VC for rename_free_var_constructive_inversion_symbol_fo_term"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.10"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter rename_free_var_inversion_symbol_fo_term"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="685" loccnumb="13" loccnume="53"
- expl="VC for rename_free_var_inversion_symbol_fo_term"
- sum="0e484e9b2e5f011f8cb4baa30fe13757"
- proved="true"
- expanded="false"
- shape="ainfix =ainfix @!V2V5V0Aais_symbol_free_var_in_fo_termV5V1EIainfix =ainfix @!V2V4V0Aais_symbol_free_var_in_fo_termV4V1FAais_symbol_free_var_in_fo_termV0arename_fo_termV1V2V3Aainfix <asize_fo_termV1ainfix +c1asize_fo_termV1Aainfix <=c0ainfix +c1asize_fo_termV1Iais_symbol_free_var_in_fo_termV0arename_fo_termV1V2V3F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for rename_free_var_inversion_symbol_fo_term"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.04"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter rename_free_var_constructive_inversion_fo_term_fo_term"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="694" loccnumb="13" loccnume="67"
- expl="VC for rename_free_var_constructive_inversion_fo_term_fo_term"
- sum="619eb1fa443d8f3fabc9c0bc367bad5f"
- proved="true"
- expanded="false"
- shape="Cainfix =ainfix @!V3V4V0Aais_fo_term_free_var_in_fo_termV4V1aVar_fo_termVifainfix =ainfix @!V3V7V0Aais_fo_term_free_var_in_fo_termV7V1Iainfix =ainfix @!V3V7V0Aais_fo_term_free_var_in_fo_term_listV7V6FAais_fo_term_free_var_in_fo_term_listV0arename_fo_term_listV6V2V3Aainfix <asize_fo_term_listV6asize_fo_termV1Aainfix <=c0asize_fo_termV1ais_fo_term_free_var_in_fo_term_listV0arename_fo_term_listV6V2V3aAppVVV1Iais_fo_term_free_var_in_fo_termV0arename_fo_termV1V2V3F">
- <label
- name="expl:VC for rename_free_var_constructive_inversion_fo_term_fo_term"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.06"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter rename_free_var_inversion_fo_term_fo_term"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="711" loccnumb="13" loccnume="54"
- expl="VC for rename_free_var_inversion_fo_term_fo_term"
- sum="9fee37b40f777a536c3d8ad559471403"
- proved="true"
- expanded="false"
- shape="ainfix =ainfix @!V3V5V0Aais_fo_term_free_var_in_fo_termV5V1EIainfix =ainfix @!V3V4V0Aais_fo_term_free_var_in_fo_termV4V1FAais_fo_term_free_var_in_fo_termV0arename_fo_termV1V2V3Aainfix <asize_fo_termV1ainfix +c1asize_fo_termV1Aainfix <=c0ainfix +c1asize_fo_termV1Iais_fo_term_free_var_in_fo_termV0arename_fo_termV1V2V3F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for rename_free_var_inversion_fo_term_fo_term"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.03"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter rename_free_var_propagation_symbol_fo_term_list"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="720" loccnumb="16" loccnume="63"
- expl="VC for rename_free_var_propagation_symbol_fo_term_list"
- sum="3808b31c55ce5627e647441dce6bc718"
- proved="true"
- expanded="false"
- shape="Cais_symbol_free_var_in_fo_term_listainfix @!V2V0arename_fo_term_listV1V2V3Iais_symbol_free_var_in_fo_term_listV0V1aFONilais_symbol_free_var_in_fo_term_listainfix @!V2V0arename_fo_term_listV1V2V3Iais_symbol_free_var_in_fo_term_listV0V1Iais_symbol_free_var_in_fo_term_listainfix @!V2V0arename_fo_term_listV5V2V3Iais_symbol_free_var_in_fo_term_listV0V5Aainfix <asize_fo_term_listV5asize_fo_term_listV1Aainfix <=c0asize_fo_term_listV1Iais_symbol_free_var_in_fo_termainfix @!V2V0arename_fo_termV4V2V3Iais_symbol_free_var_in_fo_termV0V4Aainfix <asize_fo_termV4asize_fo_term_listV1Aainfix <=c0asize_fo_term_listV1aFOConsVVV1F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for rename_free_var_propagation_symbol_fo_term_list"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.10"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter rename_free_var_propagation_fo_term_fo_term_list"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="732" loccnumb="13" loccnume="61"
- expl="VC for rename_free_var_propagation_fo_term_fo_term_list"
- sum="3f3fb95f66270e7429f0334d20e24d60"
- proved="true"
- expanded="false"
- shape="Cais_fo_term_free_var_in_fo_term_listainfix @!V3V0arename_fo_term_listV1V2V3Iais_fo_term_free_var_in_fo_term_listV0V1aFONilais_fo_term_free_var_in_fo_term_listainfix @!V3V0arename_fo_term_listV1V2V3Iais_fo_term_free_var_in_fo_term_listV0V1Iais_fo_term_free_var_in_fo_term_listainfix @!V3V0arename_fo_term_listV5V2V3Iais_fo_term_free_var_in_fo_term_listV0V5Aainfix <asize_fo_term_listV5asize_fo_term_listV1Aainfix <=c0asize_fo_term_listV1Iais_fo_term_free_var_in_fo_termainfix @!V3V0arename_fo_termV4V2V3Iais_fo_term_free_var_in_fo_termV0V4Aainfix <asize_fo_termV4asize_fo_term_listV1Aainfix <=c0asize_fo_term_listV1aFOConsVVV1F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for rename_free_var_propagation_fo_term_fo_term_list"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.08"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter rename_free_var_propagation_symbol_fo_term"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="746" loccnumb="13" loccnume="55"
- expl="VC for rename_free_var_propagation_symbol_fo_term"
- sum="5bca31f6a61ce6a8ab517e778be37884"
- proved="true"
- expanded="false"
- shape="Cais_symbol_free_var_in_fo_termainfix @!V2V0arename_fo_termV1V2V3Iais_symbol_free_var_in_fo_termV0V1aVar_fo_termVais_symbol_free_var_in_fo_termainfix @!V2V0arename_fo_termV1V2V3Iais_symbol_free_var_in_fo_termV0V1Iais_symbol_free_var_in_fo_term_listainfix @!V2V0arename_fo_term_listV6V2V3Iais_symbol_free_var_in_fo_term_listV0V6Aainfix <asize_fo_term_listV6asize_fo_termV1Aainfix <=c0asize_fo_termV1ICainfix =ainfix @!V2V7ainfix @!V2V0aVar_symbolVV5ICainfix =V8V0aVar_symbolVV5aAppVVV1F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for rename_free_var_propagation_symbol_fo_term"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.10"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter rename_free_var_propagation_fo_term_fo_term"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="757" loccnumb="13" loccnume="56"
- expl="VC for rename_free_var_propagation_fo_term_fo_term"
- sum="e0875bfe912b2d8e1ed1287d779a9dde"
- proved="true"
- expanded="false"
- shape="Cais_fo_term_free_var_in_fo_termainfix @!V3V0arename_fo_termV1V2V3Iais_fo_term_free_var_in_fo_termV0V1aVar_fo_termVais_fo_term_free_var_in_fo_termainfix @!V3V0arename_fo_termV1V2V3Iais_fo_term_free_var_in_fo_termV0V1Iais_fo_term_free_var_in_fo_term_listainfix @!V3V0arename_fo_term_listV6V2V3Iais_fo_term_free_var_in_fo_term_listV0V6Aainfix <asize_fo_term_listV6asize_fo_termV1Aainfix <=c0asize_fo_termV1aAppVVV1F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for rename_free_var_propagation_fo_term_fo_term"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.04"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_term_list"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="768" loccnumb="16" loccnume="73"
- expl="VC for subst_free_var_constructive_inversion_symbol_fo_term_list"
- sum="0e07406d2a4266a1c1bce9f9ac3d955c"
- proved="true"
- expanded="false"
- shape="CfaFONiliifCCainfix =V13V0aVar_symbolVainfix @!V2V9Aais_symbol_free_var_in_fo_term_listV9V1Aainfix =V12V0Iainfix =ainfix @!V10V12V0ACainfix =V14V12aVar_symbolVV11FACainfix =ainfix @!V10V15V0aVar_symbolVV11Lainfix @!V2V9LaidentityaLeftVais_symbol_free_var_in_fo_termV0ainfix @!V3V16Aais_fo_term_free_var_in_fo_term_listV16V1Aainfix =V19V0Iainfix =ainfix @!V17V19V0Aais_symbol_free_var_in_fo_termV19V18FAais_symbol_free_var_in_fo_termV0arename_fo_termV18V17aidentityLainfix @!V3V16LaidentityaRightVV8ICCainfix =V21V0aVar_symbolVainfix @!V7V20Aais_symbol_free_var_in_fo_term_listV20V5aLeftVais_symbol_free_var_in_fo_termV0ainfix @!V6V22Aais_fo_term_free_var_in_fo_term_listV22V5aRightVV8FAais_symbol_free_var_in_fo_term_listV0asubst_fo_term_listV5V7V6Aainfix <asize_fo_term_listV5asize_fo_term_listV1Aainfix <=c0asize_fo_term_listV1Larename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityais_symbol_free_var_in_fo_term_listV0asubst_fo_term_listV5arename_subst_symbolV2aidentityarename_subst_fo_termV3aidentityaidentityCCainfix =V30V0aVar_symbolVainfix @!V2V26Aais_symbol_free_var_in_fo_term_listV26V1Aainfix =V29V0Iainfix =ainfix @!V27V29V0ACainfix =V31V29aVar_symbolVV28FACainfix =ainfix @!V27V32V0aVar_symbolVV28Lainfix @!V2V26LaidentityaLeftVais_symbol_free_var_in_fo_termV0ainfix @!V3V33Aais_fo_term_free_var_in_fo_term_listV33V1Aainfix =V36V0Iainfix =ainfix @!V34V36V0Aais_symbol_free_var_in_fo_termV36V35FAais_symbol_free_var_in_fo_termV0arename_fo_termV35V34aidentityLainfix @!V3V33LaidentityaRightVV25ICCainfix =V38V0aVar_symbolVainfix @!V24V37Aais_symbol_free_var_in_fo_termV37V4aLeftVais_symbol_free_var_in_fo_termV0ainfix @!V23V39Aais_fo_term_free_var_in_fo_termV39V4aRightVV25FAais_symbol_free_var_in_fo_termV0asubst_fo_termV4V24V23Aainfix <asize_fo_termV4asize_fo_term_listV1Aainfix <=c0asize_fo_term_listV1Larename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityais_symbol_free_var_in_fo_termV0asubst_fo_termV4arename_subst_symbolV2aidentityarename_subst_fo_termV3aidentityaidentityaFOConsVVV1Iais_symbol_free_var_in_fo_term_listV0asubst_fo_term_listV1V2V3F">
- <label
- name="expl:VC for subst_free_var_constructive_inversion_symbol_fo_term_list"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.34"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_free_var_inversion_symbol_fo_term_list"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="830" loccnumb="13" loccnume="57"
- expl="VC for subst_free_var_inversion_symbol_fo_term_list"
- sum="999c3bc940ce6a24907c2aab925b3f7e"
- proved="true"
- expanded="false"
- shape="Cais_symbol_free_var_in_fo_termV0ainfix @!V3V6Aais_fo_term_free_var_in_fo_term_listV6V1EOCainfix =V8V0aVar_symbolVainfix @!V2V7Aais_symbol_free_var_in_fo_term_listV7V1EaLeftVais_symbol_free_var_in_fo_termV0ainfix @!V3V10Aais_fo_term_free_var_in_fo_term_listV10V1EOCainfix =V12V0aVar_symbolVainfix @!V2V11Aais_symbol_free_var_in_fo_term_listV11V1EaRightVV4ICCainfix =V14V0aVar_symbolVainfix @!V2V13Aais_symbol_free_var_in_fo_term_listV13V1aLeftVais_symbol_free_var_in_fo_termV0ainfix @!V3V15Aais_fo_term_free_var_in_fo_term_listV15V1aRightVV4FAais_symbol_free_var_in_fo_term_listV0asubst_fo_term_listV1V2V3Aainfix <asize_fo_term_listV1ainfix +c1asize_fo_term_listV1Aainfix <=c0ainfix +c1asize_fo_term_listV1Iais_symbol_free_var_in_fo_term_listV0asubst_fo_term_listV1V2V3F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_free_var_inversion_symbol_fo_term_list"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.06"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_free_var_constructive_inversion_fo_term_fo_term_list"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="847" loccnumb="13" loccnume="71"
- expl="VC for subst_free_var_constructive_inversion_fo_term_fo_term_list"
- sum="7f7e1efca8e584200f719099b1585902"
- proved="true"
- expanded="false"
- shape="CfaFONiliifais_fo_term_free_var_in_fo_termV0ainfix @!V3V7Aais_fo_term_free_var_in_fo_term_listV7V1Aainfix =V10V0Iainfix =ainfix @!V8V10V0Aais_fo_term_free_var_in_fo_termV10V9FAais_fo_term_free_var_in_fo_termV0arename_fo_termV9aidentityV8Lainfix @!V3V7LaidentityIais_fo_term_free_var_in_fo_termV0ainfix @!V6V7Aais_fo_term_free_var_in_fo_term_listV7V5FAais_fo_term_free_var_in_fo_term_listV0asubst_fo_term_listV5arename_subst_symbolV2aidentityV6Aainfix <asize_fo_term_listV5asize_fo_term_listV1Aainfix <=c0asize_fo_term_listV1Larename_subst_fo_termV3aidentityaidentityais_fo_term_free_var_in_fo_term_listV0asubst_fo_term_listV5arename_subst_symbolV2aidentityarename_subst_fo_termV3aidentityaidentityais_fo_term_free_var_in_fo_termV0ainfix @!V3V12Aais_fo_term_free_var_in_fo_term_listV12V1Aainfix =V15V0Iainfix =ainfix @!V13V15V0Aais_fo_term_free_var_in_fo_termV15V14FAais_fo_term_free_var_in_fo_termV0arename_fo_termV14aidentityV13Lainfix @!V3V12LaidentityIais_fo_term_free_var_in_fo_termV0ainfix @!V11V12Aais_fo_term_free_var_in_fo_termV12V4FAais_fo_term_free_var_in_fo_termV0asubst_fo_termV4arename_subst_symbolV2aidentityV11Aainfix <asize_fo_termV4asize_fo_term_listV1Aainfix <=c0asize_fo_term_listV1Larename_subst_fo_termV3aidentityaidentityais_fo_term_free_var_in_fo_termV0asubst_fo_termV4arename_subst_symbolV2aidentityarename_subst_fo_termV3aidentityaidentityaFOConsVVV1Iais_fo_term_free_var_in_fo_term_listV0asubst_fo_term_listV1V2V3F">
- <label
- name="expl:VC for subst_free_var_constructive_inversion_fo_term_fo_term_list"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.12"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_free_var_inversion_fo_term_fo_term_list"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="887" loccnumb="13" loccnume="58"
- expl="VC for subst_free_var_inversion_fo_term_fo_term_list"
- sum="a57ce187126ef970338f2c9e8ff3303e"
- proved="true"
- expanded="false"
- shape="ais_fo_term_free_var_in_fo_termV0ainfix @!V3V5Aais_fo_term_free_var_in_fo_term_listV5V1EIais_fo_term_free_var_in_fo_termV0ainfix @!V3V4Aais_fo_term_free_var_in_fo_term_listV4V1FAais_fo_term_free_var_in_fo_term_listV0asubst_fo_term_listV1V2V3Aainfix <asize_fo_term_listV1ainfix +c1asize_fo_term_listV1Aainfix <=c0ainfix +c1asize_fo_term_listV1Iais_fo_term_free_var_in_fo_term_listV0asubst_fo_term_listV1V2V3F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_free_var_inversion_fo_term_fo_term_list"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.04"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_term"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="901" loccnumb="13" loccnume="65"
- expl="VC for subst_free_var_constructive_inversion_symbol_fo_term"
- sum="ac5120ffde5bdc9315ed0586345f688d"
- proved="true"
- expanded="false"
- shape="Cais_symbol_free_var_in_fo_termV0ainfix @!V3V4Aais_fo_term_free_var_in_fo_termV4V1aVar_fo_termViifCCainfix =V14V0aVar_symbolVainfix @!V2V10Aais_symbol_free_var_in_fo_termV10V1Aainfix =V13V0Iainfix =ainfix @!V11V13V0ACainfix =V15V13aVar_symbolVV12FACainfix =ainfix @!V11V16V0aVar_symbolVV12Lainfix @!V2V10LaidentityaLeftVais_symbol_free_var_in_fo_termV0ainfix @!V3V17Aais_fo_term_free_var_in_fo_termV17V1Aainfix =V20V0Iainfix =ainfix @!V18V20V0Aais_symbol_free_var_in_fo_termV20V19FAais_symbol_free_var_in_fo_termV0arename_fo_termV19V18aidentityLainfix @!V3V17LaidentityaRightVV9ICCainfix =V22V0aVar_symbolVainfix @!V8V21Aais_symbol_free_var_in_fo_term_listV21V6aLeftVais_symbol_free_var_in_fo_termV0ainfix @!V7V23Aais_fo_term_free_var_in_fo_term_listV23V6aRightVV9FAais_symbol_free_var_in_fo_term_listV0asubst_fo_term_listV6V8V7Aainfix <asize_fo_term_listV6asize_fo_termV1Aainfix <=c0asize_fo_termV1Larename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityais_symbol_free_var_in_fo_term_listV0asubst_fo_term_listV6arename_subst_symbolV2aidentityarename_subst_fo_termV3aidentityaidentityCainfix =V29V0aVar_symbolVainfix @!V2V25Aais_symbol_free_var_in_fo_termV25V1Aainfix =V28V0Iainfix =ainfix @!V26V28V0ACainfix =V30V28aVar_symbolVV27FACainfix =ainfix @!V26V31V0aVar_symbolVV27Lainfix @!V2V25LaidentityICainfix =V32V0aVar_symbolVainfix @!V24V25ACainfix =V33V25aVar_symbolVV5FACainfix =V34V0aVar_symbolVCainfix @!V24V35aVar_symbolVV5Larename_subst_symbolV2aidentityCainfix =V36V0aVar_symbolVCainfix @!arename_subst_symbolV2aidentityV37aVar_symbolVV5aAppVVV1Iais_symbol_free_var_in_fo_termV0asubst_fo_termV1V2V3F">
- <label
- name="expl:VC for subst_free_var_constructive_inversion_symbol_fo_term"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="true"
- archived="false">
- <result status="timeout" time="4.98"/>
- </proof>
- <transf
- name="split_goal_wp"
- proved="true"
- expanded="false">
- <goal
- name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_term.1"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="901" loccnumb="13" loccnume="65"
- expl="1. postcondition"
- sum="ae4448a274464e4ff184364ba754a5b5"
- proved="true"
- expanded="false"
- shape="postconditionCais_symbol_free_var_in_fo_termV0ainfix @!V3V4Aais_fo_term_free_var_in_fo_termV4V1aVar_fo_termVtaAppVVV1Iais_symbol_free_var_in_fo_termV0asubst_fo_termV1V2V3F">
- <label
- name="expl:VC for subst_free_var_constructive_inversion_symbol_fo_term"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.04"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_term.2"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="901" loccnumb="13" loccnume="65"
- expl="2. precondition"
- sum="d12620e9169440aaf69f45debce25f49"
- proved="true"
- expanded="false"
- shape="preconditionCtaVar_fo_termVCainfix =V8V0aVar_symbolVCainfix @!V7V9aVar_symbolVV5Larename_subst_symbolV2aidentityICainfix =V10V0aVar_symbolVCainfix @!arename_subst_symbolV2aidentityV11aVar_symbolVV5aAppVVV1Iais_symbol_free_var_in_fo_termV0asubst_fo_termV1V2V3F">
- <label
- name="expl:VC for subst_free_var_constructive_inversion_symbol_fo_term"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.03"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_term.3"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="901" loccnumb="13" loccnume="65"
- expl="3. precondition"
- sum="6a56ae0b8466ad8eb816aecff31a0315"
- proved="true"
- expanded="false"
- shape="preconditionCtaVar_fo_termVCainfix =ainfix @!V9V11V0aVar_symbolVV10Lainfix @!V2V8LaidentityICainfix =V12V0aVar_symbolVainfix @!V7V8ACainfix =V13V8aVar_symbolVV5FICainfix =V14V0aVar_symbolVCainfix @!V7V15aVar_symbolVV5Larename_subst_symbolV2aidentityICainfix =V16V0aVar_symbolVCainfix @!arename_subst_symbolV2aidentityV17aVar_symbolVV5aAppVVV1Iais_symbol_free_var_in_fo_termV0asubst_fo_termV1V2V3F">
- <label
- name="expl:VC for subst_free_var_constructive_inversion_symbol_fo_term"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.04"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_term.4"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="901" loccnumb="13" loccnume="65"
- expl="4. assertion"
- sum="7d289a23a8f1008cc375f9105203a314"
- proved="true"
- expanded="false"
- shape="assertionCtaVar_fo_termVainfix =V11V0Iainfix =ainfix @!V9V11V0ACainfix =V12V11aVar_symbolVV10FICainfix =ainfix @!V9V13V0aVar_symbolVV10Lainfix @!V2V8LaidentityICainfix =V14V0aVar_symbolVainfix @!V7V8ACainfix =V15V8aVar_symbolVV5FICainfix =V16V0aVar_symbolVCainfix @!V7V17aVar_symbolVV5Larename_subst_symbolV2aidentityICainfix =V18V0aVar_symbolVCainfix @!arename_subst_symbolV2aidentityV19aVar_symbolVV5aAppVVV1Iais_symbol_free_var_in_fo_termV0asubst_fo_termV1V2V3F">
- <label
- name="expl:VC for subst_free_var_constructive_inversion_symbol_fo_term"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.04"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_term.5"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="901" loccnumb="13" loccnume="65"
- expl="5. postcondition"
- sum="bf61f345baa7537bafbf0c022be56a2b"
- proved="true"
- expanded="false"
- shape="postconditionCtaVar_fo_termVCainfix =V12V0aVar_symbolVainfix @!V2V8Aais_symbol_free_var_in_fo_termV8V1Iainfix =V11V0Iainfix =ainfix @!V9V11V0ACainfix =V13V11aVar_symbolVV10FICainfix =ainfix @!V9V14V0aVar_symbolVV10Lainfix @!V2V8LaidentityICainfix =V15V0aVar_symbolVainfix @!V7V8ACainfix =V16V8aVar_symbolVV5FICainfix =V17V0aVar_symbolVCainfix @!V7V18aVar_symbolVV5Larename_subst_symbolV2aidentityICainfix =V19V0aVar_symbolVCainfix @!arename_subst_symbolV2aidentityV20aVar_symbolVV5aAppVVV1Iais_symbol_free_var_in_fo_termV0asubst_fo_termV1V2V3F">
- <label
- name="expl:VC for subst_free_var_constructive_inversion_symbol_fo_term"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.04"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_term.6"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="901" loccnumb="13" loccnume="65"
- expl="6. variant decrease"
- sum="d3641dc836274fa1c2388bb2c6b8b901"
- proved="true"
- expanded="false"
- shape="variant decreaseCtaVar_fo_termVainfix <asize_fo_term_listV6asize_fo_termV1Aainfix <=c0asize_fo_termV1Larename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityIais_symbol_free_var_in_fo_term_listV0asubst_fo_term_listV6arename_subst_symbolV2aidentityarename_subst_fo_termV3aidentityaidentityINCainfix =V9V0aVar_symbolVCainfix @!arename_subst_symbolV2aidentityV10aVar_symbolVV5aAppVVV1Iais_symbol_free_var_in_fo_termV0asubst_fo_termV1V2V3F">
- <label
- name="expl:VC for subst_free_var_constructive_inversion_symbol_fo_term"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.04"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_term.7"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="901" loccnumb="13" loccnume="65"
- expl="7. precondition"
- sum="c1cc03d29c46178fbe21ec4ef48cbea1"
- proved="true"
- expanded="false"
- shape="preconditionCtaVar_fo_termVais_symbol_free_var_in_fo_term_listV0asubst_fo_term_listV6V8V7Larename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityIais_symbol_free_var_in_fo_term_listV0asubst_fo_term_listV6arename_subst_symbolV2aidentityarename_subst_fo_termV3aidentityaidentityINCainfix =V9V0aVar_symbolVCainfix @!arename_subst_symbolV2aidentityV10aVar_symbolVV5aAppVVV1Iais_symbol_free_var_in_fo_termV0asubst_fo_termV1V2V3F">
- <label
- name="expl:VC for subst_free_var_constructive_inversion_symbol_fo_term"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.03"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_term.8"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="901" loccnumb="13" loccnume="65"
- expl="8. precondition"
- sum="1167abd9f38050169d95006467c9c293"
- proved="true"
- expanded="false"
- shape="preconditionCtaVar_fo_termVCCainfix =ainfix @!V11V13V0aVar_symbolVV12Lainfix @!V2V10LaidentityaLeftVtaRightVV9ICCainfix =V16V0aVar_symbolVainfix @!V8V15Aais_symbol_free_var_in_fo_term_listV15V6aLeftVais_symbol_free_var_in_fo_termV0ainfix @!V7V17Aais_fo_term_free_var_in_fo_term_listV17V6aRightVV9FIais_symbol_free_var_in_fo_term_listV0asubst_fo_term_listV6V8V7Larename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityIais_symbol_free_var_in_fo_term_listV0asubst_fo_term_listV6arename_subst_symbolV2aidentityarename_subst_fo_termV3aidentityaidentityINCainfix =V18V0aVar_symbolVCainfix @!arename_subst_symbolV2aidentityV19aVar_symbolVV5aAppVVV1Iais_symbol_free_var_in_fo_termV0asubst_fo_termV1V2V3F">
- <label
- name="expl:VC for subst_free_var_constructive_inversion_symbol_fo_term"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.05"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_term.9"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="901" loccnumb="13" loccnume="65"
- expl="9. assertion"
- sum="fc7d03864d0546bb236f19d4494218a0"
- proved="true"
- expanded="false"
- shape="assertionCtaVar_fo_termVCainfix =V13V0Iainfix =ainfix @!V11V13V0ACainfix =V14V13aVar_symbolVV12FICainfix =ainfix @!V11V15V0aVar_symbolVV12Lainfix @!V2V10LaidentityaLeftVtaRightVV9ICCainfix =V18V0aVar_symbolVainfix @!V8V17Aais_symbol_free_var_in_fo_term_listV17V6aLeftVais_symbol_free_var_in_fo_termV0ainfix @!V7V19Aais_fo_term_free_var_in_fo_term_listV19V6aRightVV9FIais_symbol_free_var_in_fo_term_listV0asubst_fo_term_listV6V8V7Larename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityIais_symbol_free_var_in_fo_term_listV0asubst_fo_term_listV6arename_subst_symbolV2aidentityarename_subst_fo_termV3aidentityaidentityINCainfix =V20V0aVar_symbolVCainfix @!arename_subst_symbolV2aidentityV21aVar_symbolVV5aAppVVV1Iais_symbol_free_var_in_fo_termV0asubst_fo_termV1V2V3F">
- <label
- name="expl:VC for subst_free_var_constructive_inversion_symbol_fo_term"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.06"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_term.10"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="901" loccnumb="13" loccnume="65"
- expl="10. postcondition"
- sum="6502e9b2b613e278b48d94efa4de0a28"
- proved="true"
- expanded="false"
- shape="postconditionCtaVar_fo_termVCCainfix =V14V0aVar_symbolVainfix @!V2V10Aais_symbol_free_var_in_fo_termV10V1Iainfix =V13V0Iainfix =ainfix @!V11V13V0ACainfix =V15V13aVar_symbolVV12FICainfix =ainfix @!V11V16V0aVar_symbolVV12Lainfix @!V2V10LaidentityaLeftVtaRightVV9ICCainfix =V19V0aVar_symbolVainfix @!V8V18Aais_symbol_free_var_in_fo_term_listV18V6aLeftVais_symbol_free_var_in_fo_termV0ainfix @!V7V20Aais_fo_term_free_var_in_fo_term_listV20V6aRightVV9FIais_symbol_free_var_in_fo_term_listV0asubst_fo_term_listV6V8V7Larename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityIais_symbol_free_var_in_fo_term_listV0asubst_fo_term_listV6arename_subst_symbolV2aidentityarename_subst_fo_termV3aidentityaidentityINCainfix =V21V0aVar_symbolVCainfix @!arename_subst_symbolV2aidentityV22aVar_symbolVV5aAppVVV1Iais_symbol_free_var_in_fo_termV0asubst_fo_termV1V2V3F">
- <label
- name="expl:VC for subst_free_var_constructive_inversion_symbol_fo_term"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.04"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_term.11"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="901" loccnumb="13" loccnume="65"
- expl="11. precondition"
- sum="98a6a0c05b2b23da33cfb0fae89cbe66"
- proved="true"
- expanded="false"
- shape="preconditionCtaVar_fo_termVCtaLeftVais_symbol_free_var_in_fo_termV0arename_fo_termV13V12aidentityLainfix @!V3V11LaidentityaRightVV9ICCainfix =V15V0aVar_symbolVainfix @!V8V14Aais_symbol_free_var_in_fo_term_listV14V6aLeftVais_symbol_free_var_in_fo_termV0ainfix @!V7V16Aais_fo_term_free_var_in_fo_term_listV16V6aRightVV9FIais_symbol_free_var_in_fo_term_listV0asubst_fo_term_listV6V8V7Larename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityIais_symbol_free_var_in_fo_term_listV0asubst_fo_term_listV6arename_subst_symbolV2aidentityarename_subst_fo_termV3aidentityaidentityINCainfix =V17V0aVar_symbolVCainfix @!arename_subst_symbolV2aidentityV18aVar_symbolVV5aAppVVV1Iais_symbol_free_var_in_fo_termV0asubst_fo_termV1V2V3F">
- <label
- name="expl:VC for subst_free_var_constructive_inversion_symbol_fo_term"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.04"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_term.12"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="901" loccnumb="13" loccnume="65"
- expl="12. assertion"
- sum="412bae05f508a5b60c5c515d56bcf7dc"
- proved="true"
- expanded="false"
- shape="assertionCtaVar_fo_termVCtaLeftVainfix =V14V0Iainfix =ainfix @!V12V14V0Aais_symbol_free_var_in_fo_termV14V13FIais_symbol_free_var_in_fo_termV0arename_fo_termV13V12aidentityLainfix @!V3V11LaidentityaRightVV9ICCainfix =V16V0aVar_symbolVainfix @!V8V15Aais_symbol_free_var_in_fo_term_listV15V6aLeftVais_symbol_free_var_in_fo_termV0ainfix @!V7V17Aais_fo_term_free_var_in_fo_term_listV17V6aRightVV9FIais_symbol_free_var_in_fo_term_listV0asubst_fo_term_listV6V8V7Larename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityIais_symbol_free_var_in_fo_term_listV0asubst_fo_term_listV6arename_subst_symbolV2aidentityarename_subst_fo_termV3aidentityaidentityINCainfix =V18V0aVar_symbolVCainfix @!arename_subst_symbolV2aidentityV19aVar_symbolVV5aAppVVV1Iais_symbol_free_var_in_fo_termV0asubst_fo_termV1V2V3F">
- <label
- name="expl:VC for subst_free_var_constructive_inversion_symbol_fo_term"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.04"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_term.13"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="901" loccnumb="13" loccnume="65"
- expl="13. postcondition"
- sum="98fe4e919978129eb930b35301963b95"
- proved="true"
- expanded="false"
- shape="postconditionCtaVar_fo_termVCtaLeftVais_symbol_free_var_in_fo_termV0ainfix @!V3V11Aais_fo_term_free_var_in_fo_termV11V1Iainfix =V14V0Iainfix =ainfix @!V12V14V0Aais_symbol_free_var_in_fo_termV14V13FIais_symbol_free_var_in_fo_termV0arename_fo_termV13V12aidentityLainfix @!V3V11LaidentityaRightVV9ICCainfix =V16V0aVar_symbolVainfix @!V8V15Aais_symbol_free_var_in_fo_term_listV15V6aLeftVais_symbol_free_var_in_fo_termV0ainfix @!V7V17Aais_fo_term_free_var_in_fo_term_listV17V6aRightVV9FIais_symbol_free_var_in_fo_term_listV0asubst_fo_term_listV6V8V7Larename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityIais_symbol_free_var_in_fo_term_listV0asubst_fo_term_listV6arename_subst_symbolV2aidentityarename_subst_fo_termV3aidentityaidentityINCainfix =V18V0aVar_symbolVCainfix @!arename_subst_symbolV2aidentityV19aVar_symbolVV5aAppVVV1Iais_symbol_free_var_in_fo_termV0asubst_fo_termV1V2V3F">
- <label
- name="expl:VC for subst_free_var_constructive_inversion_symbol_fo_term"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.05"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_term.14"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="901" loccnumb="13" loccnume="65"
- expl="14. unreachable point"
- sum="dad85a241e662588f5558db34e5e1e65"
- proved="true"
- expanded="false"
- shape="unreachable pointCtaVar_fo_termVfINais_symbol_free_var_in_fo_term_listV0asubst_fo_term_listV6arename_subst_symbolV2aidentityarename_subst_fo_termV3aidentityaidentityINCainfix =V7V0aVar_symbolVCainfix @!arename_subst_symbolV2aidentityV8aVar_symbolVV5aAppVVV1Iais_symbol_free_var_in_fo_termV0asubst_fo_termV1V2V3F">
- <label
- name="expl:VC for subst_free_var_constructive_inversion_symbol_fo_term"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.38"/>
- </proof>
- </goal>
- </transf>
- </goal>
- <goal
- name="WP_parameter subst_free_var_inversion_symbol_fo_term"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="952" loccnumb="13" loccnume="52"
- expl="VC for subst_free_var_inversion_symbol_fo_term"
- sum="0e62cc355def8ca2cc363ebe5de3891e"
- proved="true"
- expanded="false"
- shape="Cais_symbol_free_var_in_fo_termV0ainfix @!V3V6Aais_fo_term_free_var_in_fo_termV6V1EOCainfix =V8V0aVar_symbolVainfix @!V2V7Aais_symbol_free_var_in_fo_termV7V1EaLeftVais_symbol_free_var_in_fo_termV0ainfix @!V3V10Aais_fo_term_free_var_in_fo_termV10V1EOCainfix =V12V0aVar_symbolVainfix @!V2V11Aais_symbol_free_var_in_fo_termV11V1EaRightVV4ICCainfix =V14V0aVar_symbolVainfix @!V2V13Aais_symbol_free_var_in_fo_termV13V1aLeftVais_symbol_free_var_in_fo_termV0ainfix @!V3V15Aais_fo_term_free_var_in_fo_termV15V1aRightVV4FAais_symbol_free_var_in_fo_termV0asubst_fo_termV1V2V3Aainfix <asize_fo_termV1ainfix +c1asize_fo_termV1Aainfix <=c0ainfix +c1asize_fo_termV1Iais_symbol_free_var_in_fo_termV0asubst_fo_termV1V2V3F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_free_var_inversion_symbol_fo_term"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.06"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_free_var_constructive_inversion_fo_term_fo_term"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="967" loccnumb="13" loccnume="66"
- expl="VC for subst_free_var_constructive_inversion_fo_term_fo_term"
- sum="43f3c5f3cef61ea5070b401ab2f53095"
- proved="true"
- expanded="false"
- shape="Cais_fo_term_free_var_in_fo_termV0ainfix @!V3V4Aais_fo_term_free_var_in_fo_termV4V1aVar_fo_termVifais_fo_term_free_var_in_fo_termV0ainfix @!V3V8Aais_fo_term_free_var_in_fo_termV8V1Aainfix =V11V0Iainfix =ainfix @!V9V11V0Aais_fo_term_free_var_in_fo_termV11V10FAais_fo_term_free_var_in_fo_termV0arename_fo_termV10aidentityV9Lainfix @!V3V8LaidentityIais_fo_term_free_var_in_fo_termV0ainfix @!V7V8Aais_fo_term_free_var_in_fo_term_listV8V6FAais_fo_term_free_var_in_fo_term_listV0asubst_fo_term_listV6arename_subst_symbolV2aidentityV7Aainfix <asize_fo_term_listV6asize_fo_termV1Aainfix <=c0asize_fo_termV1Larename_subst_fo_termV3aidentityaidentityais_fo_term_free_var_in_fo_term_listV0asubst_fo_term_listV6arename_subst_symbolV2aidentityarename_subst_fo_termV3aidentityaidentityaAppVVV1Iais_fo_term_free_var_in_fo_termV0asubst_fo_termV1V2V3F">
- <label
- name="expl:VC for subst_free_var_constructive_inversion_fo_term_fo_term"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.07"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_free_var_inversion_fo_term_fo_term"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="992" loccnumb="13" loccnume="53"
- expl="VC for subst_free_var_inversion_fo_term_fo_term"
- sum="9bc2092120a2ee7deec9131eddbad899"
- proved="true"
- expanded="false"
- shape="ais_fo_term_free_var_in_fo_termV0ainfix @!V3V5Aais_fo_term_free_var_in_fo_termV5V1EIais_fo_term_free_var_in_fo_termV0ainfix @!V3V4Aais_fo_term_free_var_in_fo_termV4V1FAais_fo_term_free_var_in_fo_termV0asubst_fo_termV1V2V3Aainfix <asize_fo_termV1ainfix +c1asize_fo_termV1Aainfix <=c0ainfix +c1asize_fo_termV1Iais_fo_term_free_var_in_fo_termV0asubst_fo_termV1V2V3F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_free_var_inversion_fo_term_fo_term"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.02"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_free_var_propagation_symbol_symbol_fo_term_list"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="1005" loccnumb="16" loccnume="69"
- expl="VC for subst_free_var_propagation_symbol_symbol_fo_term_list"
- sum="d391ab384c7b88d5a047d3e3db1dce20"
- proved="true"
- expanded="false"
- shape="Cais_symbol_free_var_in_fo_term_listV1asubst_fo_term_listV2V3V4ICainfix =V5V1aVar_symbolVainfix @!V3V0Aais_symbol_free_var_in_fo_term_listV0V2aFONilais_symbol_free_var_in_fo_term_listV1asubst_fo_term_listV2V3V4ICainfix =V14V1aVar_symbolVainfix @!V3V0Aais_symbol_free_var_in_fo_term_listV0V2ACainfix =V15V1aVar_symbolVainfix @!arename_subst_symbolV3aidentityV0ICainfix =V16V1aVar_symbolVainfix @!V3V0ICainfix =ainfix @!V12V17ainfix @!V12V1aVar_symbolVV13ICainfix =V18V1aVar_symbolVV13Lainfix @!V3V0LaidentityIais_symbol_free_var_in_fo_term_listV1asubst_fo_term_listV7V11arename_subst_fo_termV4aidentityaidentityICainfix =V19V1aVar_symbolVainfix @!V11V0Aais_symbol_free_var_in_fo_term_listV0V7Aainfix <asize_fo_term_listV7asize_fo_term_listV2Aainfix <=c0asize_fo_term_listV2Larename_subst_symbolV3aidentityACainfix =V20V1aVar_symbolVainfix @!arename_subst_symbolV3aidentityV0ICainfix =V21V1aVar_symbolVainfix @!V3V0ICainfix =ainfix @!V9V22ainfix @!V9V1aVar_symbolVV10ICainfix =V23V1aVar_symbolVV10Lainfix @!V3V0LaidentityIais_symbol_free_var_in_fo_termV1asubst_fo_termV6V8arename_subst_fo_termV4aidentityaidentityICainfix =V24V1aVar_symbolVainfix @!V8V0Aais_symbol_free_var_in_fo_termV0V6Aainfix <asize_fo_termV6asize_fo_term_listV2Aainfix <=c0asize_fo_term_listV2Larename_subst_symbolV3aidentityaFOConsVVV2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_free_var_propagation_symbol_symbol_fo_term_list"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="1.63"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_free_var_propagation_fo_term_symbol_fo_term_list"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="1034" loccnumb="13" loccnume="67"
- expl="VC for subst_free_var_propagation_fo_term_symbol_fo_term_list"
- sum="b5dac77e068de6c1f13b2c6f5aaeb86a"
- proved="true"
- expanded="false"
- shape="Cais_symbol_free_var_in_fo_term_listV1asubst_fo_term_listV2V3V4Iais_symbol_free_var_in_fo_termV1ainfix @!V4V0Aais_fo_term_free_var_in_fo_term_listV0V2aFONilais_symbol_free_var_in_fo_term_listV1asubst_fo_term_listV2V3V4Iais_symbol_free_var_in_fo_termV1ainfix @!V4V0Aais_fo_term_free_var_in_fo_term_listV0V2Aais_symbol_free_var_in_fo_termV1ainfix @!arename_subst_fo_termV4aidentityaidentityV0Iais_symbol_free_var_in_fo_termV1ainfix @!V4V0Iais_symbol_free_var_in_fo_termainfix @!V11V1arename_fo_termV12V11aidentityIais_symbol_free_var_in_fo_termV1V12Lainfix @!V4V0LaidentityIais_symbol_free_var_in_fo_term_listV1asubst_fo_term_listV6arename_subst_symbolV3aidentityV10Iais_symbol_free_var_in_fo_termV1ainfix @!V10V0Aais_fo_term_free_var_in_fo_term_listV0V6Aainfix <asize_fo_term_listV6asize_fo_term_listV2Aainfix <=c0asize_fo_term_listV2Larename_subst_fo_termV4aidentityaidentityAais_symbol_free_var_in_fo_termV1ainfix @!arename_subst_fo_termV4aidentityaidentityV0Iais_symbol_free_var_in_fo_termV1ainfix @!V4V0Iais_symbol_free_var_in_fo_termainfix @!V8V1arename_fo_termV9V8aidentityIais_symbol_free_var_in_fo_termV1V9Lainfix @!V4V0LaidentityIais_symbol_free_var_in_fo_termV1asubst_fo_termV5arename_subst_symbolV3aidentityV7Iais_symbol_free_var_in_fo_termV1ainfix @!V7V0Aais_fo_term_free_var_in_fo_termV0V5Aainfix <asize_fo_termV5asize_fo_term_listV2Aainfix <=c0asize_fo_term_listV2Larename_subst_fo_termV4aidentityaidentityaFOConsVVV2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_free_var_propagation_fo_term_symbol_fo_term_list"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="1.83"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_free_var_propagation_fo_term_fo_term_fo_term_list"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="1065" loccnumb="13" loccnume="68"
- expl="VC for subst_free_var_propagation_fo_term_fo_term_fo_term_list"
- sum="6e50f07f40df8f1da4badfd4eadd90df"
- proved="true"
- expanded="false"
- shape="Cais_fo_term_free_var_in_fo_term_listV1asubst_fo_term_listV2V3V4Iais_fo_term_free_var_in_fo_termV1ainfix @!V4V0Aais_fo_term_free_var_in_fo_term_listV0V2aFONilais_fo_term_free_var_in_fo_term_listV1asubst_fo_term_listV2V3V4Iais_fo_term_free_var_in_fo_termV1ainfix @!V4V0Aais_fo_term_free_var_in_fo_term_listV0V2Aais_fo_term_free_var_in_fo_termV1ainfix @!arename_subst_fo_termV4aidentityaidentityV0Iais_fo_term_free_var_in_fo_termV1ainfix @!V4V0Iais_fo_term_free_var_in_fo_termainfix @!V11V1arename_fo_termV12aidentityV11Iais_fo_term_free_var_in_fo_termV1V12Lainfix @!V4V0LaidentityIais_fo_term_free_var_in_fo_term_listV1asubst_fo_term_listV6arename_subst_symbolV3aidentityV10Iais_fo_term_free_var_in_fo_termV1ainfix @!V10V0Aais_fo_term_free_var_in_fo_term_listV0V6Aainfix <asize_fo_term_listV6asize_fo_term_listV2Aainfix <=c0asize_fo_term_listV2Larename_subst_fo_termV4aidentityaidentityAais_fo_term_free_var_in_fo_termV1ainfix @!arename_subst_fo_termV4aidentityaidentityV0Iais_fo_term_free_var_in_fo_termV1ainfix @!V4V0Iais_fo_term_free_var_in_fo_termainfix @!V8V1arename_fo_termV9aidentityV8Iais_fo_term_free_var_in_fo_termV1V9Lainfix @!V4V0LaidentityIais_fo_term_free_var_in_fo_termV1asubst_fo_termV5arename_subst_symbolV3aidentityV7Iais_fo_term_free_var_in_fo_termV1ainfix @!V7V0Aais_fo_term_free_var_in_fo_termV0V5Aainfix <asize_fo_termV5asize_fo_term_listV2Aainfix <=c0asize_fo_term_listV2Larename_subst_fo_termV4aidentityaidentityaFOConsVVV2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_free_var_propagation_fo_term_fo_term_fo_term_list"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="true"
- archived="false">
- <result status="timeout" time="0.92"/>
- </proof>
- <transf
- name="split_goal_wp"
- proved="true"
- expanded="false">
- <goal
- name="WP_parameter subst_free_var_propagation_fo_term_fo_term_fo_term_list.1"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="1065" loccnumb="13" loccnume="68"
- expl="1. postcondition"
- sum="5a977b361ab8ba7a674dd1a5e6b66596"
- proved="true"
- expanded="false"
- shape="postconditionCais_fo_term_free_var_in_fo_term_listV1asubst_fo_term_listV2V3V4Iais_fo_term_free_var_in_fo_termV1ainfix @!V4V0Aais_fo_term_free_var_in_fo_term_listV0V2aFONiltaFOConsVVV2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_free_var_propagation_fo_term_fo_term_fo_term_list"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.03"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_free_var_propagation_fo_term_fo_term_fo_term_list.2"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="1065" loccnumb="13" loccnume="68"
- expl="2. variant decrease"
- sum="409cbdd4cda523352773756be49eb03f"
- proved="true"
- expanded="false"
- shape="variant decreaseCtaFONilainfix <asize_fo_termV5asize_fo_term_listV2Aainfix <=c0asize_fo_term_listV2Larename_subst_fo_termV4aidentityaidentityaFOConsVVV2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_free_var_propagation_fo_term_fo_term_fo_term_list"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.03"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_free_var_propagation_fo_term_fo_term_fo_term_list.3"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="1065" loccnumb="13" loccnume="68"
- expl="3. assertion"
- sum="696accf21527c52609d4a8220069fbed"
- proved="true"
- expanded="false"
- shape="assertionCtaFONilais_fo_term_free_var_in_fo_termV1ainfix @!arename_subst_fo_termV4aidentityaidentityV0Iais_fo_term_free_var_in_fo_termV1ainfix @!V4V0Iais_fo_term_free_var_in_fo_termainfix @!V8V1arename_fo_termV9aidentityV8Iais_fo_term_free_var_in_fo_termV1V9Lainfix @!V4V0LaidentityIais_fo_term_free_var_in_fo_termV1asubst_fo_termV5arename_subst_symbolV3aidentityV7Iais_fo_term_free_var_in_fo_termV1ainfix @!V7V0Aais_fo_term_free_var_in_fo_termV0V5Larename_subst_fo_termV4aidentityaidentityaFOConsVVV2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_free_var_propagation_fo_term_fo_term_fo_term_list"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.03"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_free_var_propagation_fo_term_fo_term_fo_term_list.4"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="1065" loccnumb="13" loccnume="68"
- expl="4. variant decrease"
- sum="0b700112580b6efda6dbc1e29b08be89"
- proved="true"
- expanded="false"
- shape="variant decreaseCtaFONilainfix <asize_fo_term_listV6asize_fo_term_listV2Aainfix <=c0asize_fo_term_listV2Larename_subst_fo_termV4aidentityaidentityIais_fo_term_free_var_in_fo_termV1ainfix @!arename_subst_fo_termV4aidentityaidentityV0Iais_fo_term_free_var_in_fo_termV1ainfix @!V4V0Iais_fo_term_free_var_in_fo_termainfix @!V8V1arename_fo_termV9aidentityV8Iais_fo_term_free_var_in_fo_termV1V9Lainfix @!V4V0LaidentityIais_fo_term_free_var_in_fo_termV1asubst_fo_termV5arename_subst_symbolV3aidentityV7Iais_fo_term_free_var_in_fo_termV1ainfix @!V7V0Aais_fo_term_free_var_in_fo_termV0V5Larename_subst_fo_termV4aidentityaidentityaFOConsVVV2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_free_var_propagation_fo_term_fo_term_fo_term_list"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.04"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_free_var_propagation_fo_term_fo_term_fo_term_list.5"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="1065" loccnumb="13" loccnume="68"
- expl="5. assertion"
- sum="d78ee53efe3c320f444295197a74fb52"
- proved="true"
- expanded="false"
- shape="assertionCtaFONilais_fo_term_free_var_in_fo_termV1ainfix @!arename_subst_fo_termV4aidentityaidentityV0Iais_fo_term_free_var_in_fo_termV1ainfix @!V4V0Iais_fo_term_free_var_in_fo_termainfix @!V11V1arename_fo_termV12aidentityV11Iais_fo_term_free_var_in_fo_termV1V12Lainfix @!V4V0LaidentityIais_fo_term_free_var_in_fo_term_listV1asubst_fo_term_listV6arename_subst_symbolV3aidentityV10Iais_fo_term_free_var_in_fo_termV1ainfix @!V10V0Aais_fo_term_free_var_in_fo_term_listV0V6Larename_subst_fo_termV4aidentityaidentityIais_fo_term_free_var_in_fo_termV1ainfix @!arename_subst_fo_termV4aidentityaidentityV0Iais_fo_term_free_var_in_fo_termV1ainfix @!V4V0Iais_fo_term_free_var_in_fo_termainfix @!V8V1arename_fo_termV9aidentityV8Iais_fo_term_free_var_in_fo_termV1V9Lainfix @!V4V0LaidentityIais_fo_term_free_var_in_fo_termV1asubst_fo_termV5arename_subst_symbolV3aidentityV7Iais_fo_term_free_var_in_fo_termV1ainfix @!V7V0Aais_fo_term_free_var_in_fo_termV0V5Larename_subst_fo_termV4aidentityaidentityaFOConsVVV2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_free_var_propagation_fo_term_fo_term_fo_term_list"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.04"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_free_var_propagation_fo_term_fo_term_fo_term_list.6"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="1065" loccnumb="13" loccnume="68"
- expl="6. postcondition"
- sum="8ea94ee43c1c9da40a6d6391e96e7024"
- proved="true"
- expanded="false"
- shape="postconditionCtaFONilais_fo_term_free_var_in_fo_term_listV1asubst_fo_term_listV2V3V4Iais_fo_term_free_var_in_fo_termV1ainfix @!V4V0Aais_fo_term_free_var_in_fo_term_listV0V2Iais_fo_term_free_var_in_fo_termV1ainfix @!arename_subst_fo_termV4aidentityaidentityV0Iais_fo_term_free_var_in_fo_termV1ainfix @!V4V0Iais_fo_term_free_var_in_fo_termainfix @!V11V1arename_fo_termV12aidentityV11Iais_fo_term_free_var_in_fo_termV1V12Lainfix @!V4V0LaidentityIais_fo_term_free_var_in_fo_term_listV1asubst_fo_term_listV6arename_subst_symbolV3aidentityV10Iais_fo_term_free_var_in_fo_termV1ainfix @!V10V0Aais_fo_term_free_var_in_fo_term_listV0V6Larename_subst_fo_termV4aidentityaidentityIais_fo_term_free_var_in_fo_termV1ainfix @!arename_subst_fo_termV4aidentityaidentityV0Iais_fo_term_free_var_in_fo_termV1ainfix @!V4V0Iais_fo_term_free_var_in_fo_termainfix @!V8V1arename_fo_termV9aidentityV8Iais_fo_term_free_var_in_fo_termV1V9Lainfix @!V4V0LaidentityIais_fo_term_free_var_in_fo_termV1asubst_fo_termV5arename_subst_symbolV3aidentityV7Iais_fo_term_free_var_in_fo_termV1ainfix @!V7V0Aais_fo_term_free_var_in_fo_termV0V5Larename_subst_fo_termV4aidentityaidentityaFOConsVVV2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_free_var_propagation_fo_term_fo_term_fo_term_list"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.04"/>
- </proof>
- </goal>
- </transf>
- </goal>
- <goal
- name="WP_parameter subst_free_var_propagation_symbol_symbol_fo_term"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="1096" loccnumb="13" loccnume="61"
- expl="VC for subst_free_var_propagation_symbol_symbol_fo_term"
- sum="793b483a800a758aba7a9d1ff169dbd1"
- proved="true"
- expanded="false"
- shape="Cais_symbol_free_var_in_fo_termV1asubst_fo_termV2V3V4ICainfix =V6V1aVar_symbolVainfix @!V3V0Aais_symbol_free_var_in_fo_termV0V2aVar_fo_termVais_symbol_free_var_in_fo_termV1asubst_fo_termV2V3V4ICainfix =V15V1aVar_symbolVainfix @!V3V0Aais_symbol_free_var_in_fo_termV0V2ACainfix =V16V1aVar_symbolVainfix @!arename_subst_symbolV3aidentityV0ICainfix =V17V1aVar_symbolVainfix @!V3V0ICainfix =ainfix @!V13V18ainfix @!V13V1aVar_symbolVV14ICainfix =V19V1aVar_symbolVV14Lainfix @!V3V0LaidentityIais_symbol_free_var_in_fo_term_listV1asubst_fo_term_listV8V12arename_subst_fo_termV4aidentityaidentityICainfix =V20V1aVar_symbolVainfix @!V12V0Aais_symbol_free_var_in_fo_term_listV0V8Aainfix <asize_fo_term_listV8asize_fo_termV2Aainfix <=c0asize_fo_termV2Larename_subst_symbolV3aidentityACainfix =V21V1aVar_symbolVainfix @!arename_subst_symbolV3aidentityV0ICainfix =V22V1aVar_symbolVainfix @!V3V0ICainfix =ainfix @!V10V23ainfix @!V10V1aVar_symbolVV11ICainfix =V24V1aVar_symbolVV11Lainfix @!V3V0LaidentityICainfix =V25V1aVar_symbolVCainfix @!V9V26aVar_symbolVV7ICainfix =V27V1aVar_symbolVainfix @!V9V0ACainfix =V28V0aVar_symbolVV7Larename_subst_symbolV3aidentityaAppVVV2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_free_var_propagation_symbol_symbol_fo_term"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="2.21"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_free_var_propagation_fo_term_symbol_fo_term"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="1124" loccnumb="13" loccnume="62"
- expl="VC for subst_free_var_propagation_fo_term_symbol_fo_term"
- sum="4e32ac83ef7bc52222742976021d9c70"
- proved="true"
- expanded="false"
- shape="Cais_symbol_free_var_in_fo_termV1asubst_fo_termV2V3V4Iais_symbol_free_var_in_fo_termV1ainfix @!V4V0Aais_fo_term_free_var_in_fo_termV0V2aVar_fo_termVais_symbol_free_var_in_fo_termV1asubst_fo_termV2V3V4Iais_symbol_free_var_in_fo_termV1ainfix @!V4V0Aais_fo_term_free_var_in_fo_termV0V2Aais_symbol_free_var_in_fo_termV1ainfix @!arename_subst_fo_termV4aidentityaidentityV0Iais_symbol_free_var_in_fo_termV1ainfix @!V4V0Iais_symbol_free_var_in_fo_termainfix @!V9V1arename_fo_termV10V9aidentityIais_symbol_free_var_in_fo_termV1V10Lainfix @!V4V0LaidentityIais_symbol_free_var_in_fo_term_listV1asubst_fo_term_listV7arename_subst_symbolV3aidentityV8Iais_symbol_free_var_in_fo_termV1ainfix @!V8V0Aais_fo_term_free_var_in_fo_term_listV0V7Aainfix <asize_fo_term_listV7asize_fo_termV2Aainfix <=c0asize_fo_termV2Larename_subst_fo_termV4aidentityaidentityaAppVVV2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_free_var_propagation_fo_term_symbol_fo_term"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.93"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter subst_free_var_propagation_fo_term_fo_term_fo_term"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="1147" loccnumb="13" loccnume="63"
- expl="VC for subst_free_var_propagation_fo_term_fo_term_fo_term"
- sum="c9179e471fa09720e1ab8031323c14c3"
- proved="true"
- expanded="false"
- shape="Cais_fo_term_free_var_in_fo_termV1asubst_fo_termV2V3V4Iais_fo_term_free_var_in_fo_termV1ainfix @!V4V0Aais_fo_term_free_var_in_fo_termV0V2aVar_fo_termVais_fo_term_free_var_in_fo_termV1asubst_fo_termV2V3V4Iais_fo_term_free_var_in_fo_termV1ainfix @!V4V0Aais_fo_term_free_var_in_fo_termV0V2Aais_fo_term_free_var_in_fo_termV1ainfix @!arename_subst_fo_termV4aidentityaidentityV0Iais_fo_term_free_var_in_fo_termV1ainfix @!V4V0Iais_fo_term_free_var_in_fo_termainfix @!V9V1arename_fo_termV10aidentityV9Iais_fo_term_free_var_in_fo_termV1V10Lainfix @!V4V0LaidentityIais_fo_term_free_var_in_fo_term_listV1asubst_fo_term_listV7arename_subst_symbolV3aidentityV8Iais_fo_term_free_var_in_fo_termV1ainfix @!V8V0Aais_fo_term_free_var_in_fo_term_listV0V7Aainfix <asize_fo_term_listV7asize_fo_termV2Aainfix <=c0asize_fo_termV2Larename_subst_fo_termV4aidentityaidentityaAppVVV2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for subst_free_var_propagation_fo_term_fo_term_fo_term"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.28"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter free_var_equivalence_of_subst_fo_term_list"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="1170" loccnumb="16" loccnume="58"
- expl="VC for free_var_equivalence_of_subst_fo_term_list"
- sum="3f331bf8bef6db0ff82b7fe1c46ada7c"
- proved="true"
- expanded="false"
- shape="Cainfix =asubst_fo_term_listV0V1V3asubst_fo_term_listV0V2V4aFONilainfix =asubst_fo_term_listV0V1V3asubst_fo_term_listV0V2V4Iainfix =asubst_fo_term_listV6V14V12asubst_fo_term_listV6V13V11Aainfix =ainfix @!V12V15ainfix @!V11V15Iais_fo_term_free_var_in_fo_term_listV15V6FAainfix =ainfix @!V14V16ainfix @!V13V16Iais_symbol_free_var_in_fo_term_listV16V6FAainfix <asize_fo_term_listV6asize_fo_term_listV0Aainfix <=c0asize_fo_term_listV0Larename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityLarename_subst_fo_termV4aidentityaidentityAais_fo_term_free_var_in_fo_term_listV17V0Iais_fo_term_free_var_in_fo_term_listV17V6FAais_symbol_free_var_in_fo_term_listV18V0Iais_symbol_free_var_in_fo_term_listV18V6FIainfix =asubst_fo_termV5V10V8asubst_fo_termV5V9V7Aainfix =ainfix @!V8V19ainfix @!V7V19Iais_fo_term_free_var_in_fo_termV19V5FAainfix =ainfix @!V10V20ainfix @!V9V20Iais_symbol_free_var_in_fo_termV20V5FAainfix <asize_fo_termV5asize_fo_term_listV0Aainfix <=c0asize_fo_term_listV0Larename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityLarename_subst_fo_termV4aidentityaidentityAais_fo_term_free_var_in_fo_term_listV21V0Iais_fo_term_free_var_in_fo_termV21V5FAais_symbol_free_var_in_fo_term_listV22V0Iais_symbol_free_var_in_fo_termV22V5FaFOConsVVV0Iainfix =ainfix @!V3V23ainfix @!V4V23Iais_fo_term_free_var_in_fo_term_listV23V0FAainfix =ainfix @!V1V24ainfix @!V2V24Iais_symbol_free_var_in_fo_term_listV24V0FF">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_equivalence_of_subst_fo_term_list"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.10"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter free_var_equivalence_of_subst_fo_term"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="1212" loccnumb="13" loccnume="50"
- expl="VC for free_var_equivalence_of_subst_fo_term"
- sum="9557dd910b0121b713bd3cef268542a6"
- proved="true"
- expanded="false"
- shape="Cainfix =asubst_fo_termV0V1V3asubst_fo_termV0V2V4aVar_fo_termVainfix =asubst_fo_termV0V1V3asubst_fo_termV0V2V4Iainfix =asubst_fo_term_listV7V13V11asubst_fo_term_listV7V12V10Aainfix =ainfix @!V11V14ainfix @!V10V14Iais_fo_term_free_var_in_fo_term_listV14V7FAainfix =ainfix @!V13V15ainfix @!V12V15Iais_symbol_free_var_in_fo_term_listV15V7FAainfix <asize_fo_term_listV7asize_fo_termV0Aainfix <=c0asize_fo_termV0Larename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityLarename_subst_fo_termV4aidentityaidentityAais_fo_term_free_var_in_fo_termV16V0Iais_fo_term_free_var_in_fo_term_listV16V7FAais_symbol_free_var_in_fo_termV17V0Iais_symbol_free_var_in_fo_term_listV17V7FIainfix =Cainfix @!V9V18aVar_symbolVV6Cainfix @!V8V19aVar_symbolVV6Aainfix =ainfix @!V9V20ainfix @!V8V20ICainfix =V21V20aVar_symbolVV6FLarename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityAais_symbol_free_var_in_fo_termV22V0ICainfix =V23V22aVar_symbolVV6FaAppVVV0Iainfix =ainfix @!V3V24ainfix @!V4V24Iais_fo_term_free_var_in_fo_termV24V0FAainfix =ainfix @!V1V25ainfix @!V2V25Iais_symbol_free_var_in_fo_termV25V0FF">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_equivalence_of_subst_fo_term"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="true"
- archived="false">
- <result status="timeout" time="0.96"/>
- </proof>
- <transf
- name="split_goal_wp"
- proved="true"
- expanded="false">
- <goal
- name="WP_parameter free_var_equivalence_of_subst_fo_term.1"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="1212" loccnumb="13" loccnume="50"
- expl="1. postcondition"
- sum="d8a541e80d531a12e7d7efbf0e1da41b"
- proved="true"
- expanded="false"
- shape="postconditionCainfix =asubst_fo_termV0V1V3asubst_fo_termV0V2V4aVar_fo_termVtaAppVVV0Iainfix =ainfix @!V3V8ainfix @!V4V8Iais_fo_term_free_var_in_fo_termV8V0FAainfix =ainfix @!V1V9ainfix @!V2V9Iais_symbol_free_var_in_fo_termV9V0FF">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_equivalence_of_subst_fo_term"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.04"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter free_var_equivalence_of_subst_fo_term.2"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="1212" loccnumb="13" loccnume="50"
- expl="2. assertion"
- sum="3c5bb77c2dfa74a9fd03a2b0638d7d9a"
- proved="true"
- expanded="false"
- shape="assertionCtaVar_fo_termVais_symbol_free_var_in_fo_termV8V0ICainfix =V9V8aVar_symbolVV6FaAppVVV0Iainfix =ainfix @!V3V10ainfix @!V4V10Iais_fo_term_free_var_in_fo_termV10V0FAainfix =ainfix @!V1V11ainfix @!V2V11Iais_symbol_free_var_in_fo_termV11V0FF">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_equivalence_of_subst_fo_term"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.04"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter free_var_equivalence_of_subst_fo_term.3"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="1212" loccnumb="13" loccnume="50"
- expl="3. precondition"
- sum="1fcf8597992f42ac3cd590ff30003813"
- proved="true"
- expanded="false"
- shape="preconditionCtaVar_fo_termVainfix =ainfix @!V9V10ainfix @!V8V10ICainfix =V11V10aVar_symbolVV6FLarename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityIais_symbol_free_var_in_fo_termV12V0ICainfix =V13V12aVar_symbolVV6FaAppVVV0Iainfix =ainfix @!V3V14ainfix @!V4V14Iais_fo_term_free_var_in_fo_termV14V0FAainfix =ainfix @!V1V15ainfix @!V2V15Iais_symbol_free_var_in_fo_termV15V0FF">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_equivalence_of_subst_fo_term"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.04"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter free_var_equivalence_of_subst_fo_term.4"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="1212" loccnumb="13" loccnume="50"
- expl="4. assertion"
- sum="e6bd7f23bce7285bdffec14d50fdf4fa"
- proved="true"
- expanded="false"
- shape="assertionCtaVar_fo_termVais_symbol_free_var_in_fo_termV10V0Iais_symbol_free_var_in_fo_term_listV10V7FIainfix =Cainfix @!V9V11aVar_symbolVV6Cainfix @!V8V12aVar_symbolVV6Iainfix =ainfix @!V9V13ainfix @!V8V13ICainfix =V14V13aVar_symbolVV6FLarename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityIais_symbol_free_var_in_fo_termV15V0ICainfix =V16V15aVar_symbolVV6FaAppVVV0Iainfix =ainfix @!V3V17ainfix @!V4V17Iais_fo_term_free_var_in_fo_termV17V0FAainfix =ainfix @!V1V18ainfix @!V2V18Iais_symbol_free_var_in_fo_termV18V0FF">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_equivalence_of_subst_fo_term"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.04"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter free_var_equivalence_of_subst_fo_term.5"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="1212" loccnumb="13" loccnume="50"
- expl="5. assertion"
- sum="8294d49ba138680ec374968f73b24f1c"
- proved="true"
- expanded="false"
- shape="assertionCtaVar_fo_termVais_fo_term_free_var_in_fo_termV10V0Iais_fo_term_free_var_in_fo_term_listV10V7FIais_symbol_free_var_in_fo_termV11V0Iais_symbol_free_var_in_fo_term_listV11V7FIainfix =Cainfix @!V9V12aVar_symbolVV6Cainfix @!V8V13aVar_symbolVV6Iainfix =ainfix @!V9V14ainfix @!V8V14ICainfix =V15V14aVar_symbolVV6FLarename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityIais_symbol_free_var_in_fo_termV16V0ICainfix =V17V16aVar_symbolVV6FaAppVVV0Iainfix =ainfix @!V3V18ainfix @!V4V18Iais_fo_term_free_var_in_fo_termV18V0FAainfix =ainfix @!V1V19ainfix @!V2V19Iais_symbol_free_var_in_fo_termV19V0FF">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_equivalence_of_subst_fo_term"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.04"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter free_var_equivalence_of_subst_fo_term.6"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="1212" loccnumb="13" loccnume="50"
- expl="6. variant decrease"
- sum="23d14e7633db53ebc91aaefcb6bffd70"
- proved="true"
- expanded="false"
- shape="variant decreaseCtaVar_fo_termVainfix <asize_fo_term_listV7asize_fo_termV0Aainfix <=c0asize_fo_termV0Larename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityLarename_subst_fo_termV4aidentityaidentityIais_fo_term_free_var_in_fo_termV14V0Iais_fo_term_free_var_in_fo_term_listV14V7FIais_symbol_free_var_in_fo_termV15V0Iais_symbol_free_var_in_fo_term_listV15V7FIainfix =Cainfix @!V9V16aVar_symbolVV6Cainfix @!V8V17aVar_symbolVV6Iainfix =ainfix @!V9V18ainfix @!V8V18ICainfix =V19V18aVar_symbolVV6FLarename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityIais_symbol_free_var_in_fo_termV20V0ICainfix =V21V20aVar_symbolVV6FaAppVVV0Iainfix =ainfix @!V3V22ainfix @!V4V22Iais_fo_term_free_var_in_fo_termV22V0FAainfix =ainfix @!V1V23ainfix @!V2V23Iais_symbol_free_var_in_fo_termV23V0FF">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_equivalence_of_subst_fo_term"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.03"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter free_var_equivalence_of_subst_fo_term.7"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="1212" loccnumb="13" loccnume="50"
- expl="7. precondition"
- sum="c43a704a1d6fb4d51d7c9542385eb860"
- proved="true"
- expanded="false"
- shape="preconditionCtaVar_fo_termVainfix =ainfix @!V13V14ainfix @!V12V14Iais_symbol_free_var_in_fo_term_listV14V7FLarename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityLarename_subst_fo_termV4aidentityaidentityIais_fo_term_free_var_in_fo_termV15V0Iais_fo_term_free_var_in_fo_term_listV15V7FIais_symbol_free_var_in_fo_termV16V0Iais_symbol_free_var_in_fo_term_listV16V7FIainfix =Cainfix @!V9V17aVar_symbolVV6Cainfix @!V8V18aVar_symbolVV6Iainfix =ainfix @!V9V19ainfix @!V8V19ICainfix =V20V19aVar_symbolVV6FLarename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityIais_symbol_free_var_in_fo_termV21V0ICainfix =V22V21aVar_symbolVV6FaAppVVV0Iainfix =ainfix @!V3V23ainfix @!V4V23Iais_fo_term_free_var_in_fo_termV23V0FAainfix =ainfix @!V1V24ainfix @!V2V24Iais_symbol_free_var_in_fo_termV24V0FF">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_equivalence_of_subst_fo_term"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.04"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter free_var_equivalence_of_subst_fo_term.8"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="1212" loccnumb="13" loccnume="50"
- expl="8. precondition"
- sum="887318db850d272c685d4048fcf3608c"
- proved="true"
- expanded="false"
- shape="preconditionCtaVar_fo_termVainfix =ainfix @!V11V14ainfix @!V10V14Iais_fo_term_free_var_in_fo_term_listV14V7FLarename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityLarename_subst_fo_termV4aidentityaidentityIais_fo_term_free_var_in_fo_termV15V0Iais_fo_term_free_var_in_fo_term_listV15V7FIais_symbol_free_var_in_fo_termV16V0Iais_symbol_free_var_in_fo_term_listV16V7FIainfix =Cainfix @!V9V17aVar_symbolVV6Cainfix @!V8V18aVar_symbolVV6Iainfix =ainfix @!V9V19ainfix @!V8V19ICainfix =V20V19aVar_symbolVV6FLarename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityIais_symbol_free_var_in_fo_termV21V0ICainfix =V22V21aVar_symbolVV6FaAppVVV0Iainfix =ainfix @!V3V23ainfix @!V4V23Iais_fo_term_free_var_in_fo_termV23V0FAainfix =ainfix @!V1V24ainfix @!V2V24Iais_symbol_free_var_in_fo_termV24V0FF">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_equivalence_of_subst_fo_term"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.04"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter free_var_equivalence_of_subst_fo_term.9"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="1212" loccnumb="13" loccnume="50"
- expl="9. postcondition"
- sum="12f95a2622a52f8fd34dcc2ce7642466"
- proved="true"
- expanded="false"
- shape="postconditionCtaVar_fo_termVainfix =asubst_fo_termV0V1V3asubst_fo_termV0V2V4Iainfix =asubst_fo_term_listV7V13V11asubst_fo_term_listV7V12V10Iainfix =ainfix @!V11V14ainfix @!V10V14Iais_fo_term_free_var_in_fo_term_listV14V7FAainfix =ainfix @!V13V15ainfix @!V12V15Iais_symbol_free_var_in_fo_term_listV15V7FLarename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityLarename_subst_fo_termV4aidentityaidentityIais_fo_term_free_var_in_fo_termV16V0Iais_fo_term_free_var_in_fo_term_listV16V7FIais_symbol_free_var_in_fo_termV17V0Iais_symbol_free_var_in_fo_term_listV17V7FIainfix =Cainfix @!V9V18aVar_symbolVV6Cainfix @!V8V19aVar_symbolVV6Iainfix =ainfix @!V9V20ainfix @!V8V20ICainfix =V21V20aVar_symbolVV6FLarename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityIais_symbol_free_var_in_fo_termV22V0ICainfix =V23V22aVar_symbolVV6FaAppVVV0Iainfix =ainfix @!V3V24ainfix @!V4V24Iais_fo_term_free_var_in_fo_termV24V0FAainfix =ainfix @!V1V25ainfix @!V2V25Iais_symbol_free_var_in_fo_termV25V0FF">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_equivalence_of_subst_fo_term"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.03"/>
- </proof>
- </goal>
- </transf>
- </goal>
- <goal
- name="WP_parameter free_var_equivalence_of_rename_fo_term_list"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="1246" loccnumb="12" loccnume="55"
- expl="VC for free_var_equivalence_of_rename_fo_term_list"
- sum="904f2ea3b7ca57cc12268e5ce6c05b5d"
- proved="true"
- expanded="false"
- shape="ainfix =arename_fo_term_listV0V1V3arename_fo_term_listV0V2V4Iainfix =asubst_fo_term_listV0V8V6asubst_fo_term_listV0V7V5Aainfix =ainfix @!V6V9ainfix @!V5V9Iais_fo_term_free_var_in_fo_term_listV9V0FAainfix =ainfix @!V8V10ainfix @!V7V10Iais_symbol_free_var_in_fo_term_listV10V0FLasubst_of_rename_symbolV1Lasubst_of_rename_symbolV2Lasubst_of_rename_fo_termV3Lasubst_of_rename_fo_termV4Iainfix =ainfix @!V3V11ainfix @!V4V11Iais_fo_term_free_var_in_fo_term_listV11V0FAainfix =ainfix @!V1V12ainfix @!V2V12Iais_symbol_free_var_in_fo_term_listV12V0FF">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_equivalence_of_rename_fo_term_list"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.05"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter free_var_equivalence_of_rename_fo_term"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="1260" loccnumb="12" loccnume="50"
- expl="VC for free_var_equivalence_of_rename_fo_term"
- sum="472d5ee8441a4f0ca1b6abc9c467f260"
- proved="true"
- expanded="false"
- shape="ainfix =arename_fo_termV0V1V3arename_fo_termV0V2V4Iainfix =asubst_fo_termV0V8V6asubst_fo_termV0V7V5Aainfix =ainfix @!V6V9ainfix @!V5V9Iais_fo_term_free_var_in_fo_termV9V0FAainfix =ainfix @!V8V10ainfix @!V7V10Iais_symbol_free_var_in_fo_termV10V0FLasubst_of_rename_symbolV1Lasubst_of_rename_symbolV2Lasubst_of_rename_fo_termV3Lasubst_of_rename_fo_termV4Iainfix =ainfix @!V3V11ainfix @!V4V11Iais_fo_term_free_var_in_fo_termV11V0FAainfix =ainfix @!V1V12ainfix @!V2V12Iais_symbol_free_var_in_fo_termV12V0FF">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_equivalence_of_rename_fo_term"/>
- <proof
- prover="0"
- timelimit="1"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.05"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter free_var_derive_equivalence_of_subst_fo_term_list"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="1272" loccnumb="16" loccnume="65"
- expl="VC for free_var_derive_equivalence_of_subst_fo_term_list"
- sum="4789cad9b7d71ce558c66bf148f8adfa"
- proved="true"
- expanded="false"
- shape="Cainfix =ainfix @!V3V5ainfix @!V4V5Iais_fo_term_free_var_in_fo_term_listV5V0FAainfix =ainfix @!V1V6ainfix @!V2V6Iais_symbol_free_var_in_fo_term_listV6V0FaFONilainfix =ainfix @!V3V17ainfix @!V4V17Iais_fo_term_free_var_in_fo_term_listV17V0FAainfix =ainfix @!V1V18ainfix @!V2V18Iais_symbol_free_var_in_fo_term_listV18V0FAainfix =ainfix @!V3V19ainfix @!V4V19Iais_fo_term_free_var_in_fo_term_listV19V8FAainfix =ainfix @!V3V20ainfix @!V4V20Aainfix =arename_fo_termarename_fo_termainfix @!V4V20aidentityaidentityaidentityaidentityainfix @!V4V20Aainfix =arename_fo_termarename_fo_termainfix @!V3V20aidentityaidentityaidentityaidentityarename_fo_termarename_fo_termainfix @!V4V20aidentityaidentityaidentityaidentityAainfix =ainfix @!V3V20arename_fo_termarename_fo_termainfix @!V3V20aidentityaidentityaidentityaidentityAainfix =ainfix @!arename_subst_fo_termV4aidentityaidentityV20arename_fo_termainfix @!V4V20aidentityaidentityAainfix =ainfix @!arename_subst_fo_termV3aidentityaidentityV20ainfix @!arename_subst_fo_termV4aidentityaidentityV20Aainfix =arename_fo_termainfix @!V3V20aidentityaidentityainfix @!arename_subst_fo_termV3aidentityaidentityV20Iais_fo_term_free_var_in_fo_term_listV20V8FAainfix =ainfix @!V1V21ainfix @!V2V21Iais_symbol_free_var_in_fo_term_listV21V8FAainfix =ainfix @!V1V22ainfix @!V2V22Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV23aVar_symbolVainfix @!V2V22ainfix @!V2V22Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV24aVar_symbolVainfix @!V1V22CaVar_symbolainfix @!aidentityainfix @!aidentityV25aVar_symbolVainfix @!V2V22Aainfix =ainfix @!V1V22CaVar_symbolainfix @!aidentityainfix @!aidentityV26aVar_symbolVainfix @!V1V22Aainfix =ainfix @!arename_subst_symbolV2aidentityV22CaVar_symbolainfix @!aidentityV27aVar_symbolVainfix @!V2V22Aainfix =ainfix @!arename_subst_symbolV1aidentityV22ainfix @!arename_subst_symbolV2aidentityV22Aainfix =CaVar_symbolainfix @!aidentityV28aVar_symbolVainfix @!V1V22ainfix @!arename_subst_symbolV1aidentityV22Iais_symbol_free_var_in_fo_term_listV22V8FIainfix =ainfix @!V14V29ainfix @!V13V29Iais_fo_term_free_var_in_fo_term_listV29V8FAainfix =ainfix @!V16V30ainfix @!V15V30Iais_symbol_free_var_in_fo_term_listV30V8FAainfix =asubst_fo_term_listV8V16V14asubst_fo_term_listV8V15V13Aainfix <asize_fo_term_listV8asize_fo_term_listV0Aainfix <=c0asize_fo_term_listV0Larename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityLarename_subst_fo_termV4aidentityaidentityAainfix =ainfix @!V3V31ainfix @!V4V31Iais_fo_term_free_var_in_fo_termV31V7FAainfix =ainfix @!V3V32ainfix @!V4V32Aainfix =arename_fo_termarename_fo_termainfix @!V4V32aidentityaidentityaidentityaidentityainfix @!V4V32Aainfix =arename_fo_termarename_fo_termainfix @!V3V32aidentityaidentityaidentityaidentityarename_fo_termarename_fo_termainfix @!V4V32aidentityaidentityaidentityaidentityAainfix =ainfix @!V3V32arename_fo_termarename_fo_termainfix @!V3V32aidentityaidentityaidentityaidentityAainfix =ainfix @!arename_subst_fo_termV4aidentityaidentityV32arename_fo_termainfix @!V4V32aidentityaidentityAainfix =ainfix @!arename_subst_fo_termV3aidentityaidentityV32ainfix @!arename_subst_fo_termV4aidentityaidentityV32Aainfix =arename_fo_termainfix @!V3V32aidentityaidentityainfix @!arename_subst_fo_termV3aidentityaidentityV32Iais_fo_term_free_var_in_fo_termV32V7FAainfix =ainfix @!V1V33ainfix @!V2V33Iais_symbol_free_var_in_fo_termV33V7FAainfix =ainfix @!V1V34ainfix @!V2V34Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV35aVar_symbolVainfix @!V2V34ainfix @!V2V34Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV36aVar_symbolVainfix @!V1V34CaVar_symbolainfix @!aidentityainfix @!aidentityV37aVar_symbolVainfix @!V2V34Aainfix =ainfix @!V1V34CaVar_symbolainfix @!aidentityainfix @!aidentityV38aVar_symbolVainfix @!V1V34Aainfix =ainfix @!arename_subst_symbolV2aidentityV34CaVar_symbolainfix @!aidentityV39aVar_symbolVainfix @!V2V34Aainfix =ainfix @!arename_subst_symbolV1aidentityV34ainfix @!arename_subst_symbolV2aidentityV34Aainfix =CaVar_symbolainfix @!aidentityV40aVar_symbolVainfix @!V1V34ainfix @!arename_subst_symbolV1aidentityV34Iais_symbol_free_var_in_fo_termV34V7FIainfix =ainfix @!V10V41ainfix @!V9V41Iais_fo_term_free_var_in_fo_termV41V7FAainfix =ainfix @!V12V42ainfix @!V11V42Iais_symbol_free_var_in_fo_termV42V7FAainfix =asubst_fo_termV7V12V10asubst_fo_termV7V11V9Aainfix <asize_fo_termV7asize_fo_term_listV0Aainfix <=c0asize_fo_term_listV0Larename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityLarename_subst_fo_termV4aidentityaidentityaFOConsVVV0Iainfix =asubst_fo_term_listV0V1V3asubst_fo_term_listV0V2V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_derive_equivalence_of_subst_fo_term_list"/>
- <transf
- name="split_goal_wp"
- proved="true"
- expanded="false">
- <goal
- name="WP_parameter free_var_derive_equivalence_of_subst_fo_term_list.1"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="1272" loccnumb="16" loccnume="65"
- expl="1. postcondition"
- sum="b3236caf4a1065aed5a28a64a83b0ac2"
- proved="true"
- expanded="false"
- shape="postconditionCainfix =ainfix @!V1V5ainfix @!V2V5Iais_symbol_free_var_in_fo_term_listV5V0FaFONiltaFOConsVVV0Iainfix =asubst_fo_term_listV0V1V3asubst_fo_term_listV0V2V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_derive_equivalence_of_subst_fo_term_list"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.06"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter free_var_derive_equivalence_of_subst_fo_term_list.2"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="1272" loccnumb="16" loccnume="65"
- expl="2. postcondition"
- sum="4d625d83941a3b5df1391be554f4afd1"
- proved="true"
- expanded="false"
- shape="postconditionCainfix =ainfix @!V3V5ainfix @!V4V5Iais_fo_term_free_var_in_fo_term_listV5V0FaFONiltaFOConsVVV0Iainfix =asubst_fo_term_listV0V1V3asubst_fo_term_listV0V2V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_derive_equivalence_of_subst_fo_term_list"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.06"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter free_var_derive_equivalence_of_subst_fo_term_list.3"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="1272" loccnumb="16" loccnume="65"
- expl="3. variant decrease"
- sum="f5261a33724bedb2e3a9ac95affdc876"
- proved="true"
- expanded="false"
- shape="variant decreaseCtaFONilainfix <asize_fo_termV5asize_fo_term_listV0Aainfix <=c0asize_fo_term_listV0Larename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityLarename_subst_fo_termV4aidentityaidentityaFOConsVVV0Iainfix =asubst_fo_term_listV0V1V3asubst_fo_term_listV0V2V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_derive_equivalence_of_subst_fo_term_list"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.06"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter free_var_derive_equivalence_of_subst_fo_term_list.4"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="1272" loccnumb="16" loccnume="65"
- expl="4. precondition"
- sum="a3e1578a6ef8ce8c66268a7578a132ab"
- proved="true"
- expanded="false"
- shape="preconditionCtaFONilainfix =asubst_fo_termV5V10V8asubst_fo_termV5V9V7Larename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityLarename_subst_fo_termV4aidentityaidentityaFOConsVVV0Iainfix =asubst_fo_term_listV0V1V3asubst_fo_term_listV0V2V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_derive_equivalence_of_subst_fo_term_list"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.28"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter free_var_derive_equivalence_of_subst_fo_term_list.5"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="1272" loccnumb="16" loccnume="65"
- expl="5. assertion"
- sum="787140bb317e8edb743723413818b3dc"
- proved="true"
- expanded="false"
- shape="assertionCtaFONilainfix =ainfix @!V1V11ainfix @!V2V11Iais_symbol_free_var_in_fo_termV11V5FAainfix =ainfix @!V1V12ainfix @!V2V12Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV13aVar_symbolVainfix @!V2V12ainfix @!V2V12Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV14aVar_symbolVainfix @!V1V12CaVar_symbolainfix @!aidentityainfix @!aidentityV15aVar_symbolVainfix @!V2V12Aainfix =ainfix @!V1V12CaVar_symbolainfix @!aidentityainfix @!aidentityV16aVar_symbolVainfix @!V1V12Aainfix =ainfix @!arename_subst_symbolV2aidentityV12CaVar_symbolainfix @!aidentityV17aVar_symbolVainfix @!V2V12Aainfix =ainfix @!arename_subst_symbolV1aidentityV12ainfix @!arename_subst_symbolV2aidentityV12Aainfix =CaVar_symbolainfix @!aidentityV18aVar_symbolVainfix @!V1V12ainfix @!arename_subst_symbolV1aidentityV12Iais_symbol_free_var_in_fo_termV12V5FIainfix =ainfix @!V8V19ainfix @!V7V19Iais_fo_term_free_var_in_fo_termV19V5FAainfix =ainfix @!V10V20ainfix @!V9V20Iais_symbol_free_var_in_fo_termV20V5FIainfix =asubst_fo_termV5V10V8asubst_fo_termV5V9V7Larename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityLarename_subst_fo_termV4aidentityaidentityaFOConsVVV0Iainfix =asubst_fo_term_listV0V1V3asubst_fo_term_listV0V2V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_derive_equivalence_of_subst_fo_term_list"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.10"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter free_var_derive_equivalence_of_subst_fo_term_list.6"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="1272" loccnumb="16" loccnume="65"
- expl="6. assertion"
- sum="28d683ad435bf3fcabd5975958d4afe1"
- proved="true"
- expanded="false"
- shape="assertionCtaFONilainfix =ainfix @!V3V11ainfix @!V4V11Iais_fo_term_free_var_in_fo_termV11V5FAainfix =ainfix @!V3V12ainfix @!V4V12Aainfix =arename_fo_termarename_fo_termainfix @!V4V12aidentityaidentityaidentityaidentityainfix @!V4V12Aainfix =arename_fo_termarename_fo_termainfix @!V3V12aidentityaidentityaidentityaidentityarename_fo_termarename_fo_termainfix @!V4V12aidentityaidentityaidentityaidentityAainfix =ainfix @!V3V12arename_fo_termarename_fo_termainfix @!V3V12aidentityaidentityaidentityaidentityAainfix =ainfix @!arename_subst_fo_termV4aidentityaidentityV12arename_fo_termainfix @!V4V12aidentityaidentityAainfix =ainfix @!arename_subst_fo_termV3aidentityaidentityV12ainfix @!arename_subst_fo_termV4aidentityaidentityV12Aainfix =arename_fo_termainfix @!V3V12aidentityaidentityainfix @!arename_subst_fo_termV3aidentityaidentityV12Iais_fo_term_free_var_in_fo_termV12V5FIainfix =ainfix @!V1V13ainfix @!V2V13Iais_symbol_free_var_in_fo_termV13V5FAainfix =ainfix @!V1V14ainfix @!V2V14Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV15aVar_symbolVainfix @!V2V14ainfix @!V2V14Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV16aVar_symbolVainfix @!V1V14CaVar_symbolainfix @!aidentityainfix @!aidentityV17aVar_symbolVainfix @!V2V14Aainfix =ainfix @!V1V14CaVar_symbolainfix @!aidentityainfix @!aidentityV18aVar_symbolVainfix @!V1V14Aainfix =ainfix @!arename_subst_symbolV2aidentityV14CaVar_symbolainfix @!aidentityV19aVar_symbolVainfix @!V2V14Aainfix =ainfix @!arename_subst_symbolV1aidentityV14ainfix @!arename_subst_symbolV2aidentityV14Aainfix =CaVar_symbolainfix @!aidentityV20aVar_symbolVainfix @!V1V14ainfix @!arename_subst_symbolV1aidentityV14Iais_symbol_free_var_in_fo_termV14V5FIainfix =ainfix @!V8V21ainfix @!V7V21Iais_fo_term_free_var_in_fo_termV21V5FAainfix =ainfix @!V10V22ainfix @!V9V22Iais_symbol_free_var_in_fo_termV22V5FIainfix =asubst_fo_termV5V10V8asubst_fo_termV5V9V7Larename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityLarename_subst_fo_termV4aidentityaidentityaFOConsVVV0Iainfix =asubst_fo_term_listV0V1V3asubst_fo_term_listV0V2V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_derive_equivalence_of_subst_fo_term_list"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.09"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter free_var_derive_equivalence_of_subst_fo_term_list.7"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="1272" loccnumb="16" loccnume="65"
- expl="7. variant decrease"
- sum="02ff9d6b0a5247c9787d3e41aa97f251"
- proved="true"
- expanded="false"
- shape="variant decreaseCtaFONilainfix <asize_fo_term_listV6asize_fo_term_listV0Aainfix <=c0asize_fo_term_listV0Larename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityLarename_subst_fo_termV4aidentityaidentityIainfix =ainfix @!V3V15ainfix @!V4V15Iais_fo_term_free_var_in_fo_termV15V5FAainfix =ainfix @!V3V16ainfix @!V4V16Aainfix =arename_fo_termarename_fo_termainfix @!V4V16aidentityaidentityaidentityaidentityainfix @!V4V16Aainfix =arename_fo_termarename_fo_termainfix @!V3V16aidentityaidentityaidentityaidentityarename_fo_termarename_fo_termainfix @!V4V16aidentityaidentityaidentityaidentityAainfix =ainfix @!V3V16arename_fo_termarename_fo_termainfix @!V3V16aidentityaidentityaidentityaidentityAainfix =ainfix @!arename_subst_fo_termV4aidentityaidentityV16arename_fo_termainfix @!V4V16aidentityaidentityAainfix =ainfix @!arename_subst_fo_termV3aidentityaidentityV16ainfix @!arename_subst_fo_termV4aidentityaidentityV16Aainfix =arename_fo_termainfix @!V3V16aidentityaidentityainfix @!arename_subst_fo_termV3aidentityaidentityV16Iais_fo_term_free_var_in_fo_termV16V5FIainfix =ainfix @!V1V17ainfix @!V2V17Iais_symbol_free_var_in_fo_termV17V5FAainfix =ainfix @!V1V18ainfix @!V2V18Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV19aVar_symbolVainfix @!V2V18ainfix @!V2V18Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV20aVar_symbolVainfix @!V1V18CaVar_symbolainfix @!aidentityainfix @!aidentityV21aVar_symbolVainfix @!V2V18Aainfix =ainfix @!V1V18CaVar_symbolainfix @!aidentityainfix @!aidentityV22aVar_symbolVainfix @!V1V18Aainfix =ainfix @!arename_subst_symbolV2aidentityV18CaVar_symbolainfix @!aidentityV23aVar_symbolVainfix @!V2V18Aainfix =ainfix @!arename_subst_symbolV1aidentityV18ainfix @!arename_subst_symbolV2aidentityV18Aainfix =CaVar_symbolainfix @!aidentityV24aVar_symbolVainfix @!V1V18ainfix @!arename_subst_symbolV1aidentityV18Iais_symbol_free_var_in_fo_termV18V5FIainfix =ainfix @!V8V25ainfix @!V7V25Iais_fo_term_free_var_in_fo_termV25V5FAainfix =ainfix @!V10V26ainfix @!V9V26Iais_symbol_free_var_in_fo_termV26V5FIainfix =asubst_fo_termV5V10V8asubst_fo_termV5V9V7Larename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityLarename_subst_fo_termV4aidentityaidentityaFOConsVVV0Iainfix =asubst_fo_term_listV0V1V3asubst_fo_term_listV0V2V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_derive_equivalence_of_subst_fo_term_list"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.06"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter free_var_derive_equivalence_of_subst_fo_term_list.8"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="1272" loccnumb="16" loccnume="65"
- expl="8. precondition"
- sum="62fb6ddda29ad89983b45adf7d59ec02"
- proved="true"
- expanded="false"
- shape="preconditionCtaFONilainfix =asubst_fo_term_listV6V14V12asubst_fo_term_listV6V13V11Larename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityLarename_subst_fo_termV4aidentityaidentityIainfix =ainfix @!V3V15ainfix @!V4V15Iais_fo_term_free_var_in_fo_termV15V5FAainfix =ainfix @!V3V16ainfix @!V4V16Aainfix =arename_fo_termarename_fo_termainfix @!V4V16aidentityaidentityaidentityaidentityainfix @!V4V16Aainfix =arename_fo_termarename_fo_termainfix @!V3V16aidentityaidentityaidentityaidentityarename_fo_termarename_fo_termainfix @!V4V16aidentityaidentityaidentityaidentityAainfix =ainfix @!V3V16arename_fo_termarename_fo_termainfix @!V3V16aidentityaidentityaidentityaidentityAainfix =ainfix @!arename_subst_fo_termV4aidentityaidentityV16arename_fo_termainfix @!V4V16aidentityaidentityAainfix =ainfix @!arename_subst_fo_termV3aidentityaidentityV16ainfix @!arename_subst_fo_termV4aidentityaidentityV16Aainfix =arename_fo_termainfix @!V3V16aidentityaidentityainfix @!arename_subst_fo_termV3aidentityaidentityV16Iais_fo_term_free_var_in_fo_termV16V5FIainfix =ainfix @!V1V17ainfix @!V2V17Iais_symbol_free_var_in_fo_termV17V5FAainfix =ainfix @!V1V18ainfix @!V2V18Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV19aVar_symbolVainfix @!V2V18ainfix @!V2V18Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV20aVar_symbolVainfix @!V1V18CaVar_symbolainfix @!aidentityainfix @!aidentityV21aVar_symbolVainfix @!V2V18Aainfix =ainfix @!V1V18CaVar_symbolainfix @!aidentityainfix @!aidentityV22aVar_symbolVainfix @!V1V18Aainfix =ainfix @!arename_subst_symbolV2aidentityV18CaVar_symbolainfix @!aidentityV23aVar_symbolVainfix @!V2V18Aainfix =ainfix @!arename_subst_symbolV1aidentityV18ainfix @!arename_subst_symbolV2aidentityV18Aainfix =CaVar_symbolainfix @!aidentityV24aVar_symbolVainfix @!V1V18ainfix @!arename_subst_symbolV1aidentityV18Iais_symbol_free_var_in_fo_termV18V5FIainfix =ainfix @!V8V25ainfix @!V7V25Iais_fo_term_free_var_in_fo_termV25V5FAainfix =ainfix @!V10V26ainfix @!V9V26Iais_symbol_free_var_in_fo_termV26V5FIainfix =asubst_fo_termV5V10V8asubst_fo_termV5V9V7Larename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityLarename_subst_fo_termV4aidentityaidentityaFOConsVVV0Iainfix =asubst_fo_term_listV0V1V3asubst_fo_term_listV0V2V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_derive_equivalence_of_subst_fo_term_list"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.09"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter free_var_derive_equivalence_of_subst_fo_term_list.9"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="1272" loccnumb="16" loccnume="65"
- expl="9. assertion"
- sum="19ee9a1804be1712612a26c357b939fa"
- proved="true"
- expanded="false"
- shape="assertionCtaFONilainfix =ainfix @!V1V15ainfix @!V2V15Iais_symbol_free_var_in_fo_term_listV15V6FAainfix =ainfix @!V1V16ainfix @!V2V16Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV17aVar_symbolVainfix @!V2V16ainfix @!V2V16Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV18aVar_symbolVainfix @!V1V16CaVar_symbolainfix @!aidentityainfix @!aidentityV19aVar_symbolVainfix @!V2V16Aainfix =ainfix @!V1V16CaVar_symbolainfix @!aidentityainfix @!aidentityV20aVar_symbolVainfix @!V1V16Aainfix =ainfix @!arename_subst_symbolV2aidentityV16CaVar_symbolainfix @!aidentityV21aVar_symbolVainfix @!V2V16Aainfix =ainfix @!arename_subst_symbolV1aidentityV16ainfix @!arename_subst_symbolV2aidentityV16Aainfix =CaVar_symbolainfix @!aidentityV22aVar_symbolVainfix @!V1V16ainfix @!arename_subst_symbolV1aidentityV16Iais_symbol_free_var_in_fo_term_listV16V6FIainfix =ainfix @!V12V23ainfix @!V11V23Iais_fo_term_free_var_in_fo_term_listV23V6FAainfix =ainfix @!V14V24ainfix @!V13V24Iais_symbol_free_var_in_fo_term_listV24V6FIainfix =asubst_fo_term_listV6V14V12asubst_fo_term_listV6V13V11Larename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityLarename_subst_fo_termV4aidentityaidentityIainfix =ainfix @!V3V25ainfix @!V4V25Iais_fo_term_free_var_in_fo_termV25V5FAainfix =ainfix @!V3V26ainfix @!V4V26Aainfix =arename_fo_termarename_fo_termainfix @!V4V26aidentityaidentityaidentityaidentityainfix @!V4V26Aainfix =arename_fo_termarename_fo_termainfix @!V3V26aidentityaidentityaidentityaidentityarename_fo_termarename_fo_termainfix @!V4V26aidentityaidentityaidentityaidentityAainfix =ainfix @!V3V26arename_fo_termarename_fo_termainfix @!V3V26aidentityaidentityaidentityaidentityAainfix =ainfix @!arename_subst_fo_termV4aidentityaidentityV26arename_fo_termainfix @!V4V26aidentityaidentityAainfix =ainfix @!arename_subst_fo_termV3aidentityaidentityV26ainfix @!arename_subst_fo_termV4aidentityaidentityV26Aainfix =arename_fo_termainfix @!V3V26aidentityaidentityainfix @!arename_subst_fo_termV3aidentityaidentityV26Iais_fo_term_free_var_in_fo_termV26V5FIainfix =ainfix @!V1V27ainfix @!V2V27Iais_symbol_free_var_in_fo_termV27V5FAainfix =ainfix @!V1V28ainfix @!V2V28Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV29aVar_symbolVainfix @!V2V28ainfix @!V2V28Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV30aVar_symbolVainfix @!V1V28CaVar_symbolainfix @!aidentityainfix @!aidentityV31aVar_symbolVainfix @!V2V28Aainfix =ainfix @!V1V28CaVar_symbolainfix @!aidentityainfix @!aidentityV32aVar_symbolVainfix @!V1V28Aainfix =ainfix @!arename_subst_symbolV2aidentityV28CaVar_symbolainfix @!aidentityV33aVar_symbolVainfix @!V2V28Aainfix =ainfix @!arename_subst_symbolV1aidentityV28ainfix @!arename_subst_symbolV2aidentityV28Aainfix =CaVar_symbolainfix @!aidentityV34aVar_symbolVainfix @!V1V28ainfix @!arename_subst_symbolV1aidentityV28Iais_symbol_free_var_in_fo_termV28V5FIainfix =ainfix @!V8V35ainfix @!V7V35Iais_fo_term_free_var_in_fo_termV35V5FAainfix =ainfix @!V10V36ainfix @!V9V36Iais_symbol_free_var_in_fo_termV36V5FIainfix =asubst_fo_termV5V10V8asubst_fo_termV5V9V7Larename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityLarename_subst_fo_termV4aidentityaidentityaFOConsVVV0Iainfix =asubst_fo_term_listV0V1V3asubst_fo_term_listV0V2V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_derive_equivalence_of_subst_fo_term_list"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.11"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter free_var_derive_equivalence_of_subst_fo_term_list.10"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="1272" loccnumb="16" loccnume="65"
- expl="10. assertion"
- sum="518caa5aafe10b1738e9469f76760d1b"
- proved="true"
- expanded="false"
- shape="assertionCtaFONilainfix =ainfix @!V3V15ainfix @!V4V15Iais_fo_term_free_var_in_fo_term_listV15V6FAainfix =ainfix @!V3V16ainfix @!V4V16Aainfix =arename_fo_termarename_fo_termainfix @!V4V16aidentityaidentityaidentityaidentityainfix @!V4V16Aainfix =arename_fo_termarename_fo_termainfix @!V3V16aidentityaidentityaidentityaidentityarename_fo_termarename_fo_termainfix @!V4V16aidentityaidentityaidentityaidentityAainfix =ainfix @!V3V16arename_fo_termarename_fo_termainfix @!V3V16aidentityaidentityaidentityaidentityAainfix =ainfix @!arename_subst_fo_termV4aidentityaidentityV16arename_fo_termainfix @!V4V16aidentityaidentityAainfix =ainfix @!arename_subst_fo_termV3aidentityaidentityV16ainfix @!arename_subst_fo_termV4aidentityaidentityV16Aainfix =arename_fo_termainfix @!V3V16aidentityaidentityainfix @!arename_subst_fo_termV3aidentityaidentityV16Iais_fo_term_free_var_in_fo_term_listV16V6FIainfix =ainfix @!V1V17ainfix @!V2V17Iais_symbol_free_var_in_fo_term_listV17V6FAainfix =ainfix @!V1V18ainfix @!V2V18Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV19aVar_symbolVainfix @!V2V18ainfix @!V2V18Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV20aVar_symbolVainfix @!V1V18CaVar_symbolainfix @!aidentityainfix @!aidentityV21aVar_symbolVainfix @!V2V18Aainfix =ainfix @!V1V18CaVar_symbolainfix @!aidentityainfix @!aidentityV22aVar_symbolVainfix @!V1V18Aainfix =ainfix @!arename_subst_symbolV2aidentityV18CaVar_symbolainfix @!aidentityV23aVar_symbolVainfix @!V2V18Aainfix =ainfix @!arename_subst_symbolV1aidentityV18ainfix @!arename_subst_symbolV2aidentityV18Aainfix =CaVar_symbolainfix @!aidentityV24aVar_symbolVainfix @!V1V18ainfix @!arename_subst_symbolV1aidentityV18Iais_symbol_free_var_in_fo_term_listV18V6FIainfix =ainfix @!V12V25ainfix @!V11V25Iais_fo_term_free_var_in_fo_term_listV25V6FAainfix =ainfix @!V14V26ainfix @!V13V26Iais_symbol_free_var_in_fo_term_listV26V6FIainfix =asubst_fo_term_listV6V14V12asubst_fo_term_listV6V13V11Larename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityLarename_subst_fo_termV4aidentityaidentityIainfix =ainfix @!V3V27ainfix @!V4V27Iais_fo_term_free_var_in_fo_termV27V5FAainfix =ainfix @!V3V28ainfix @!V4V28Aainfix =arename_fo_termarename_fo_termainfix @!V4V28aidentityaidentityaidentityaidentityainfix @!V4V28Aainfix =arename_fo_termarename_fo_termainfix @!V3V28aidentityaidentityaidentityaidentityarename_fo_termarename_fo_termainfix @!V4V28aidentityaidentityaidentityaidentityAainfix =ainfix @!V3V28arename_fo_termarename_fo_termainfix @!V3V28aidentityaidentityaidentityaidentityAainfix =ainfix @!arename_subst_fo_termV4aidentityaidentityV28arename_fo_termainfix @!V4V28aidentityaidentityAainfix =ainfix @!arename_subst_fo_termV3aidentityaidentityV28ainfix @!arename_subst_fo_termV4aidentityaidentityV28Aainfix =arename_fo_termainfix @!V3V28aidentityaidentityainfix @!arename_subst_fo_termV3aidentityaidentityV28Iais_fo_term_free_var_in_fo_termV28V5FIainfix =ainfix @!V1V29ainfix @!V2V29Iais_symbol_free_var_in_fo_termV29V5FAainfix =ainfix @!V1V30ainfix @!V2V30Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV31aVar_symbolVainfix @!V2V30ainfix @!V2V30Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV32aVar_symbolVainfix @!V1V30CaVar_symbolainfix @!aidentityainfix @!aidentityV33aVar_symbolVainfix @!V2V30Aainfix =ainfix @!V1V30CaVar_symbolainfix @!aidentityainfix @!aidentityV34aVar_symbolVainfix @!V1V30Aainfix =ainfix @!arename_subst_symbolV2aidentityV30CaVar_symbolainfix @!aidentityV35aVar_symbolVainfix @!V2V30Aainfix =ainfix @!arename_subst_symbolV1aidentityV30ainfix @!arename_subst_symbolV2aidentityV30Aainfix =CaVar_symbolainfix @!aidentityV36aVar_symbolVainfix @!V1V30ainfix @!arename_subst_symbolV1aidentityV30Iais_symbol_free_var_in_fo_termV30V5FIainfix =ainfix @!V8V37ainfix @!V7V37Iais_fo_term_free_var_in_fo_termV37V5FAainfix =ainfix @!V10V38ainfix @!V9V38Iais_symbol_free_var_in_fo_termV38V5FIainfix =asubst_fo_termV5V10V8asubst_fo_termV5V9V7Larename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityLarename_subst_fo_termV4aidentityaidentityaFOConsVVV0Iainfix =asubst_fo_term_listV0V1V3asubst_fo_term_listV0V2V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_derive_equivalence_of_subst_fo_term_list"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.10"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter free_var_derive_equivalence_of_subst_fo_term_list.11"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="1272" loccnumb="16" loccnume="65"
- expl="11. postcondition"
- sum="1eed0aa5f645f103714a19ecefdf3679"
- proved="true"
- expanded="false"
- shape="postconditionCtaFONilainfix =ainfix @!V1V15ainfix @!V2V15Iais_symbol_free_var_in_fo_term_listV15V0FIainfix =ainfix @!V3V16ainfix @!V4V16Iais_fo_term_free_var_in_fo_term_listV16V6FAainfix =ainfix @!V3V17ainfix @!V4V17Aainfix =arename_fo_termarename_fo_termainfix @!V4V17aidentityaidentityaidentityaidentityainfix @!V4V17Aainfix =arename_fo_termarename_fo_termainfix @!V3V17aidentityaidentityaidentityaidentityarename_fo_termarename_fo_termainfix @!V4V17aidentityaidentityaidentityaidentityAainfix =ainfix @!V3V17arename_fo_termarename_fo_termainfix @!V3V17aidentityaidentityaidentityaidentityAainfix =ainfix @!arename_subst_fo_termV4aidentityaidentityV17arename_fo_termainfix @!V4V17aidentityaidentityAainfix =ainfix @!arename_subst_fo_termV3aidentityaidentityV17ainfix @!arename_subst_fo_termV4aidentityaidentityV17Aainfix =arename_fo_termainfix @!V3V17aidentityaidentityainfix @!arename_subst_fo_termV3aidentityaidentityV17Iais_fo_term_free_var_in_fo_term_listV17V6FIainfix =ainfix @!V1V18ainfix @!V2V18Iais_symbol_free_var_in_fo_term_listV18V6FAainfix =ainfix @!V1V19ainfix @!V2V19Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV20aVar_symbolVainfix @!V2V19ainfix @!V2V19Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV21aVar_symbolVainfix @!V1V19CaVar_symbolainfix @!aidentityainfix @!aidentityV22aVar_symbolVainfix @!V2V19Aainfix =ainfix @!V1V19CaVar_symbolainfix @!aidentityainfix @!aidentityV23aVar_symbolVainfix @!V1V19Aainfix =ainfix @!arename_subst_symbolV2aidentityV19CaVar_symbolainfix @!aidentityV24aVar_symbolVainfix @!V2V19Aainfix =ainfix @!arename_subst_symbolV1aidentityV19ainfix @!arename_subst_symbolV2aidentityV19Aainfix =CaVar_symbolainfix @!aidentityV25aVar_symbolVainfix @!V1V19ainfix @!arename_subst_symbolV1aidentityV19Iais_symbol_free_var_in_fo_term_listV19V6FIainfix =ainfix @!V12V26ainfix @!V11V26Iais_fo_term_free_var_in_fo_term_listV26V6FAainfix =ainfix @!V14V27ainfix @!V13V27Iais_symbol_free_var_in_fo_term_listV27V6FIainfix =asubst_fo_term_listV6V14V12asubst_fo_term_listV6V13V11Larename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityLarename_subst_fo_termV4aidentityaidentityIainfix =ainfix @!V3V28ainfix @!V4V28Iais_fo_term_free_var_in_fo_termV28V5FAainfix =ainfix @!V3V29ainfix @!V4V29Aainfix =arename_fo_termarename_fo_termainfix @!V4V29aidentityaidentityaidentityaidentityainfix @!V4V29Aainfix =arename_fo_termarename_fo_termainfix @!V3V29aidentityaidentityaidentityaidentityarename_fo_termarename_fo_termainfix @!V4V29aidentityaidentityaidentityaidentityAainfix =ainfix @!V3V29arename_fo_termarename_fo_termainfix @!V3V29aidentityaidentityaidentityaidentityAainfix =ainfix @!arename_subst_fo_termV4aidentityaidentityV29arename_fo_termainfix @!V4V29aidentityaidentityAainfix =ainfix @!arename_subst_fo_termV3aidentityaidentityV29ainfix @!arename_subst_fo_termV4aidentityaidentityV29Aainfix =arename_fo_termainfix @!V3V29aidentityaidentityainfix @!arename_subst_fo_termV3aidentityaidentityV29Iais_fo_term_free_var_in_fo_termV29V5FIainfix =ainfix @!V1V30ainfix @!V2V30Iais_symbol_free_var_in_fo_termV30V5FAainfix =ainfix @!V1V31ainfix @!V2V31Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV32aVar_symbolVainfix @!V2V31ainfix @!V2V31Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV33aVar_symbolVainfix @!V1V31CaVar_symbolainfix @!aidentityainfix @!aidentityV34aVar_symbolVainfix @!V2V31Aainfix =ainfix @!V1V31CaVar_symbolainfix @!aidentityainfix @!aidentityV35aVar_symbolVainfix @!V1V31Aainfix =ainfix @!arename_subst_symbolV2aidentityV31CaVar_symbolainfix @!aidentityV36aVar_symbolVainfix @!V2V31Aainfix =ainfix @!arename_subst_symbolV1aidentityV31ainfix @!arename_subst_symbolV2aidentityV31Aainfix =CaVar_symbolainfix @!aidentityV37aVar_symbolVainfix @!V1V31ainfix @!arename_subst_symbolV1aidentityV31Iais_symbol_free_var_in_fo_termV31V5FIainfix =ainfix @!V8V38ainfix @!V7V38Iais_fo_term_free_var_in_fo_termV38V5FAainfix =ainfix @!V10V39ainfix @!V9V39Iais_symbol_free_var_in_fo_termV39V5FIainfix =asubst_fo_termV5V10V8asubst_fo_termV5V9V7Larename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityLarename_subst_fo_termV4aidentityaidentityaFOConsVVV0Iainfix =asubst_fo_term_listV0V1V3asubst_fo_term_listV0V2V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_derive_equivalence_of_subst_fo_term_list"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.06"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter free_var_derive_equivalence_of_subst_fo_term_list.12"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="1272" loccnumb="16" loccnume="65"
- expl="12. postcondition"
- sum="40eb4287bab54b16ba7217d522a2a69a"
- proved="true"
- expanded="false"
- shape="postconditionCtaFONilainfix =ainfix @!V3V15ainfix @!V4V15Iais_fo_term_free_var_in_fo_term_listV15V0FIainfix =ainfix @!V3V16ainfix @!V4V16Iais_fo_term_free_var_in_fo_term_listV16V6FAainfix =ainfix @!V3V17ainfix @!V4V17Aainfix =arename_fo_termarename_fo_termainfix @!V4V17aidentityaidentityaidentityaidentityainfix @!V4V17Aainfix =arename_fo_termarename_fo_termainfix @!V3V17aidentityaidentityaidentityaidentityarename_fo_termarename_fo_termainfix @!V4V17aidentityaidentityaidentityaidentityAainfix =ainfix @!V3V17arename_fo_termarename_fo_termainfix @!V3V17aidentityaidentityaidentityaidentityAainfix =ainfix @!arename_subst_fo_termV4aidentityaidentityV17arename_fo_termainfix @!V4V17aidentityaidentityAainfix =ainfix @!arename_subst_fo_termV3aidentityaidentityV17ainfix @!arename_subst_fo_termV4aidentityaidentityV17Aainfix =arename_fo_termainfix @!V3V17aidentityaidentityainfix @!arename_subst_fo_termV3aidentityaidentityV17Iais_fo_term_free_var_in_fo_term_listV17V6FIainfix =ainfix @!V1V18ainfix @!V2V18Iais_symbol_free_var_in_fo_term_listV18V6FAainfix =ainfix @!V1V19ainfix @!V2V19Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV20aVar_symbolVainfix @!V2V19ainfix @!V2V19Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV21aVar_symbolVainfix @!V1V19CaVar_symbolainfix @!aidentityainfix @!aidentityV22aVar_symbolVainfix @!V2V19Aainfix =ainfix @!V1V19CaVar_symbolainfix @!aidentityainfix @!aidentityV23aVar_symbolVainfix @!V1V19Aainfix =ainfix @!arename_subst_symbolV2aidentityV19CaVar_symbolainfix @!aidentityV24aVar_symbolVainfix @!V2V19Aainfix =ainfix @!arename_subst_symbolV1aidentityV19ainfix @!arename_subst_symbolV2aidentityV19Aainfix =CaVar_symbolainfix @!aidentityV25aVar_symbolVainfix @!V1V19ainfix @!arename_subst_symbolV1aidentityV19Iais_symbol_free_var_in_fo_term_listV19V6FIainfix =ainfix @!V12V26ainfix @!V11V26Iais_fo_term_free_var_in_fo_term_listV26V6FAainfix =ainfix @!V14V27ainfix @!V13V27Iais_symbol_free_var_in_fo_term_listV27V6FIainfix =asubst_fo_term_listV6V14V12asubst_fo_term_listV6V13V11Larename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityLarename_subst_fo_termV4aidentityaidentityIainfix =ainfix @!V3V28ainfix @!V4V28Iais_fo_term_free_var_in_fo_termV28V5FAainfix =ainfix @!V3V29ainfix @!V4V29Aainfix =arename_fo_termarename_fo_termainfix @!V4V29aidentityaidentityaidentityaidentityainfix @!V4V29Aainfix =arename_fo_termarename_fo_termainfix @!V3V29aidentityaidentityaidentityaidentityarename_fo_termarename_fo_termainfix @!V4V29aidentityaidentityaidentityaidentityAainfix =ainfix @!V3V29arename_fo_termarename_fo_termainfix @!V3V29aidentityaidentityaidentityaidentityAainfix =ainfix @!arename_subst_fo_termV4aidentityaidentityV29arename_fo_termainfix @!V4V29aidentityaidentityAainfix =ainfix @!arename_subst_fo_termV3aidentityaidentityV29ainfix @!arename_subst_fo_termV4aidentityaidentityV29Aainfix =arename_fo_termainfix @!V3V29aidentityaidentityainfix @!arename_subst_fo_termV3aidentityaidentityV29Iais_fo_term_free_var_in_fo_termV29V5FIainfix =ainfix @!V1V30ainfix @!V2V30Iais_symbol_free_var_in_fo_termV30V5FAainfix =ainfix @!V1V31ainfix @!V2V31Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV32aVar_symbolVainfix @!V2V31ainfix @!V2V31Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV33aVar_symbolVainfix @!V1V31CaVar_symbolainfix @!aidentityainfix @!aidentityV34aVar_symbolVainfix @!V2V31Aainfix =ainfix @!V1V31CaVar_symbolainfix @!aidentityainfix @!aidentityV35aVar_symbolVainfix @!V1V31Aainfix =ainfix @!arename_subst_symbolV2aidentityV31CaVar_symbolainfix @!aidentityV36aVar_symbolVainfix @!V2V31Aainfix =ainfix @!arename_subst_symbolV1aidentityV31ainfix @!arename_subst_symbolV2aidentityV31Aainfix =CaVar_symbolainfix @!aidentityV37aVar_symbolVainfix @!V1V31ainfix @!arename_subst_symbolV1aidentityV31Iais_symbol_free_var_in_fo_termV31V5FIainfix =ainfix @!V8V38ainfix @!V7V38Iais_fo_term_free_var_in_fo_termV38V5FAainfix =ainfix @!V10V39ainfix @!V9V39Iais_symbol_free_var_in_fo_termV39V5FIainfix =asubst_fo_termV5V10V8asubst_fo_termV5V9V7Larename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityLarename_subst_fo_termV4aidentityaidentityaFOConsVVV0Iainfix =asubst_fo_term_listV0V1V3asubst_fo_term_listV0V2V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_derive_equivalence_of_subst_fo_term_list"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.06"/>
- </proof>
- </goal>
- </transf>
- </goal>
- <goal
- name="WP_parameter free_var_derive_equivalence_of_subst_fo_term"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="1357" loccnumb="13" loccnume="57"
- expl="VC for free_var_derive_equivalence_of_subst_fo_term"
- sum="ea211183a207c5d30ac746b72d9af2d0"
- proved="true"
- expanded="false"
- shape="Cainfix =ainfix @!V3V6ainfix @!V4V6Iais_fo_term_free_var_in_fo_termV6V0FAainfix =ainfix @!V1V7ainfix @!V2V7Iais_symbol_free_var_in_fo_termV7V0FaVar_fo_termVainfix =ainfix @!V3V16ainfix @!V4V16Iais_fo_term_free_var_in_fo_termV16V0FAainfix =ainfix @!V1V17ainfix @!V2V17Iais_symbol_free_var_in_fo_termV17V0FAainfix =ainfix @!V3V18ainfix @!V4V18Iais_fo_term_free_var_in_fo_term_listV18V9FAainfix =ainfix @!V3V19ainfix @!V4V19Aainfix =arename_fo_termarename_fo_termainfix @!V4V19aidentityaidentityaidentityaidentityainfix @!V4V19Aainfix =arename_fo_termarename_fo_termainfix @!V3V19aidentityaidentityaidentityaidentityarename_fo_termarename_fo_termainfix @!V4V19aidentityaidentityaidentityaidentityAainfix =ainfix @!V3V19arename_fo_termarename_fo_termainfix @!V3V19aidentityaidentityaidentityaidentityAainfix =ainfix @!arename_subst_fo_termV4aidentityaidentityV19arename_fo_termainfix @!V4V19aidentityaidentityAainfix =ainfix @!arename_subst_fo_termV3aidentityaidentityV19ainfix @!arename_subst_fo_termV4aidentityaidentityV19Aainfix =arename_fo_termainfix @!V3V19aidentityaidentityainfix @!arename_subst_fo_termV3aidentityaidentityV19Iais_fo_term_free_var_in_fo_term_listV19V9FAainfix =ainfix @!V1V20ainfix @!V2V20Iais_symbol_free_var_in_fo_term_listV20V9FAainfix =ainfix @!V1V21ainfix @!V2V21Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV22aVar_symbolVainfix @!V2V21ainfix @!V2V21Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV23aVar_symbolVainfix @!V1V21CaVar_symbolainfix @!aidentityainfix @!aidentityV24aVar_symbolVainfix @!V2V21Aainfix =ainfix @!V1V21CaVar_symbolainfix @!aidentityainfix @!aidentityV25aVar_symbolVainfix @!V1V21Aainfix =ainfix @!arename_subst_symbolV2aidentityV21CaVar_symbolainfix @!aidentityV26aVar_symbolVainfix @!V2V21Aainfix =ainfix @!arename_subst_symbolV1aidentityV21ainfix @!arename_subst_symbolV2aidentityV21Aainfix =CaVar_symbolainfix @!aidentityV27aVar_symbolVainfix @!V1V21ainfix @!arename_subst_symbolV1aidentityV21Iais_symbol_free_var_in_fo_term_listV21V9FIainfix =ainfix @!V13V28ainfix @!V12V28Iais_fo_term_free_var_in_fo_term_listV28V9FAainfix =ainfix @!V15V29ainfix @!V14V29Iais_symbol_free_var_in_fo_term_listV29V9FAainfix =asubst_fo_term_listV9V15V13asubst_fo_term_listV9V14V12Aainfix <asize_fo_term_listV9asize_fo_termV0Aainfix <=c0asize_fo_termV0Larename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityLarename_subst_fo_termV4aidentityaidentityAainfix =ainfix @!V1V30ainfix @!V2V30ICainfix =V31V30aVar_symbolVV8FAainfix =ainfix @!V1V32ainfix @!V2V32Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV33aVar_symbolVainfix @!V2V32ainfix @!V2V32Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV34aVar_symbolVainfix @!V1V32CaVar_symbolainfix @!aidentityainfix @!aidentityV35aVar_symbolVainfix @!V2V32Aainfix =ainfix @!V1V32CaVar_symbolainfix @!aidentityainfix @!aidentityV36aVar_symbolVainfix @!V1V32Aainfix =ainfix @!arename_subst_symbolV2aidentityV32CaVar_symbolainfix @!aidentityV37aVar_symbolVainfix @!V2V32Aainfix =ainfix @!arename_subst_symbolV1aidentityV32ainfix @!arename_subst_symbolV2aidentityV32Aainfix =CaVar_symbolainfix @!aidentityV38aVar_symbolVainfix @!V1V32ainfix @!arename_subst_symbolV1aidentityV32ICainfix =V39V32aVar_symbolVV8FIainfix =ainfix @!V11V40ainfix @!V10V40ICainfix =V41V40aVar_symbolVV8FAainfix =Cainfix @!V11V42aVar_symbolVV8Cainfix @!V10V43aVar_symbolVV8Larename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityaAppVVV0Iainfix =asubst_fo_termV0V1V3asubst_fo_termV0V2V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_derive_equivalence_of_subst_fo_term"/>
- <transf
- name="split_goal_wp"
- proved="true"
- expanded="false">
- <goal
- name="WP_parameter free_var_derive_equivalence_of_subst_fo_term.1"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="1357" loccnumb="13" loccnume="57"
- expl="1. postcondition"
- sum="a2ef8f8e4b2433c8696fd75dde08ca3f"
- proved="true"
- expanded="false"
- shape="postconditionCainfix =ainfix @!V1V6ainfix @!V2V6Iais_symbol_free_var_in_fo_termV6V0FaVar_fo_termVtaAppVVV0Iainfix =asubst_fo_termV0V1V3asubst_fo_termV0V2V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_derive_equivalence_of_subst_fo_term"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.04"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter free_var_derive_equivalence_of_subst_fo_term.2"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="1357" loccnumb="13" loccnume="57"
- expl="2. postcondition"
- sum="c87cd92f43c6cb53db0ea6039a5e5fd5"
- proved="true"
- expanded="false"
- shape="postconditionCainfix =ainfix @!V3V6ainfix @!V4V6Iais_fo_term_free_var_in_fo_termV6V0FaVar_fo_termVtaAppVVV0Iainfix =asubst_fo_termV0V1V3asubst_fo_termV0V2V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_derive_equivalence_of_subst_fo_term"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.05"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter free_var_derive_equivalence_of_subst_fo_term.3"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="1357" loccnumb="13" loccnume="57"
- expl="3. precondition"
- sum="24aee9a95f7168a7a20ff8c6968134b6"
- proved="true"
- expanded="false"
- shape="preconditionCtaVar_fo_termVainfix =Cainfix @!V9V10aVar_symbolVV6Cainfix @!V8V11aVar_symbolVV6Larename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityaAppVVV0Iainfix =asubst_fo_termV0V1V3asubst_fo_termV0V2V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_derive_equivalence_of_subst_fo_term"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.09"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter free_var_derive_equivalence_of_subst_fo_term.4"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="1357" loccnumb="13" loccnume="57"
- expl="4. assertion"
- sum="f941f5d3dc81268a651f0e8455e1a84e"
- proved="true"
- expanded="false"
- shape="assertionCtaVar_fo_termVainfix =ainfix @!V1V10ainfix @!V2V10ICainfix =V11V10aVar_symbolVV6FAainfix =ainfix @!V1V12ainfix @!V2V12Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV13aVar_symbolVainfix @!V2V12ainfix @!V2V12Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV14aVar_symbolVainfix @!V1V12CaVar_symbolainfix @!aidentityainfix @!aidentityV15aVar_symbolVainfix @!V2V12Aainfix =ainfix @!V1V12CaVar_symbolainfix @!aidentityainfix @!aidentityV16aVar_symbolVainfix @!V1V12Aainfix =ainfix @!arename_subst_symbolV2aidentityV12CaVar_symbolainfix @!aidentityV17aVar_symbolVainfix @!V2V12Aainfix =ainfix @!arename_subst_symbolV1aidentityV12ainfix @!arename_subst_symbolV2aidentityV12Aainfix =CaVar_symbolainfix @!aidentityV18aVar_symbolVainfix @!V1V12ainfix @!arename_subst_symbolV1aidentityV12ICainfix =V19V12aVar_symbolVV6FIainfix =ainfix @!V9V20ainfix @!V8V20ICainfix =V21V20aVar_symbolVV6FIainfix =Cainfix @!V9V22aVar_symbolVV6Cainfix @!V8V23aVar_symbolVV6Larename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityaAppVVV0Iainfix =asubst_fo_termV0V1V3asubst_fo_termV0V2V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_derive_equivalence_of_subst_fo_term"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.08"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter free_var_derive_equivalence_of_subst_fo_term.5"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="1357" loccnumb="13" loccnume="57"
- expl="5. variant decrease"
- sum="daf64a9d6d46b551a2d41e0b98d019e8"
- proved="true"
- expanded="false"
- shape="variant decreaseCtaVar_fo_termVainfix <asize_fo_term_listV7asize_fo_termV0Aainfix <=c0asize_fo_termV0Larename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityLarename_subst_fo_termV4aidentityaidentityIainfix =ainfix @!V1V14ainfix @!V2V14ICainfix =V15V14aVar_symbolVV6FAainfix =ainfix @!V1V16ainfix @!V2V16Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV17aVar_symbolVainfix @!V2V16ainfix @!V2V16Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV18aVar_symbolVainfix @!V1V16CaVar_symbolainfix @!aidentityainfix @!aidentityV19aVar_symbolVainfix @!V2V16Aainfix =ainfix @!V1V16CaVar_symbolainfix @!aidentityainfix @!aidentityV20aVar_symbolVainfix @!V1V16Aainfix =ainfix @!arename_subst_symbolV2aidentityV16CaVar_symbolainfix @!aidentityV21aVar_symbolVainfix @!V2V16Aainfix =ainfix @!arename_subst_symbolV1aidentityV16ainfix @!arename_subst_symbolV2aidentityV16Aainfix =CaVar_symbolainfix @!aidentityV22aVar_symbolVainfix @!V1V16ainfix @!arename_subst_symbolV1aidentityV16ICainfix =V23V16aVar_symbolVV6FIainfix =ainfix @!V9V24ainfix @!V8V24ICainfix =V25V24aVar_symbolVV6FIainfix =Cainfix @!V9V26aVar_symbolVV6Cainfix @!V8V27aVar_symbolVV6Larename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityaAppVVV0Iainfix =asubst_fo_termV0V1V3asubst_fo_termV0V2V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_derive_equivalence_of_subst_fo_term"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.05"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter free_var_derive_equivalence_of_subst_fo_term.6"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="1357" loccnumb="13" loccnume="57"
- expl="6. precondition"
- sum="dff76c54a7a56c44bbde132fd23ea0b9"
- proved="true"
- expanded="false"
- shape="preconditionCtaVar_fo_termVainfix =asubst_fo_term_listV7V13V11asubst_fo_term_listV7V12V10Larename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityLarename_subst_fo_termV4aidentityaidentityIainfix =ainfix @!V1V14ainfix @!V2V14ICainfix =V15V14aVar_symbolVV6FAainfix =ainfix @!V1V16ainfix @!V2V16Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV17aVar_symbolVainfix @!V2V16ainfix @!V2V16Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV18aVar_symbolVainfix @!V1V16CaVar_symbolainfix @!aidentityainfix @!aidentityV19aVar_symbolVainfix @!V2V16Aainfix =ainfix @!V1V16CaVar_symbolainfix @!aidentityainfix @!aidentityV20aVar_symbolVainfix @!V1V16Aainfix =ainfix @!arename_subst_symbolV2aidentityV16CaVar_symbolainfix @!aidentityV21aVar_symbolVainfix @!V2V16Aainfix =ainfix @!arename_subst_symbolV1aidentityV16ainfix @!arename_subst_symbolV2aidentityV16Aainfix =CaVar_symbolainfix @!aidentityV22aVar_symbolVainfix @!V1V16ainfix @!arename_subst_symbolV1aidentityV16ICainfix =V23V16aVar_symbolVV6FIainfix =ainfix @!V9V24ainfix @!V8V24ICainfix =V25V24aVar_symbolVV6FIainfix =Cainfix @!V9V26aVar_symbolVV6Cainfix @!V8V27aVar_symbolVV6Larename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityaAppVVV0Iainfix =asubst_fo_termV0V1V3asubst_fo_termV0V2V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_derive_equivalence_of_subst_fo_term"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.11"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter free_var_derive_equivalence_of_subst_fo_term.7"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="1357" loccnumb="13" loccnume="57"
- expl="7. assertion"
- sum="9da3699623d7008b98aeed63380535f7"
- proved="true"
- expanded="false"
- shape="assertionCtaVar_fo_termVainfix =ainfix @!V1V14ainfix @!V2V14Iais_symbol_free_var_in_fo_term_listV14V7FAainfix =ainfix @!V1V15ainfix @!V2V15Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV16aVar_symbolVainfix @!V2V15ainfix @!V2V15Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV17aVar_symbolVainfix @!V1V15CaVar_symbolainfix @!aidentityainfix @!aidentityV18aVar_symbolVainfix @!V2V15Aainfix =ainfix @!V1V15CaVar_symbolainfix @!aidentityainfix @!aidentityV19aVar_symbolVainfix @!V1V15Aainfix =ainfix @!arename_subst_symbolV2aidentityV15CaVar_symbolainfix @!aidentityV20aVar_symbolVainfix @!V2V15Aainfix =ainfix @!arename_subst_symbolV1aidentityV15ainfix @!arename_subst_symbolV2aidentityV15Aainfix =CaVar_symbolainfix @!aidentityV21aVar_symbolVainfix @!V1V15ainfix @!arename_subst_symbolV1aidentityV15Iais_symbol_free_var_in_fo_term_listV15V7FIainfix =ainfix @!V11V22ainfix @!V10V22Iais_fo_term_free_var_in_fo_term_listV22V7FAainfix =ainfix @!V13V23ainfix @!V12V23Iais_symbol_free_var_in_fo_term_listV23V7FIainfix =asubst_fo_term_listV7V13V11asubst_fo_term_listV7V12V10Larename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityLarename_subst_fo_termV4aidentityaidentityIainfix =ainfix @!V1V24ainfix @!V2V24ICainfix =V25V24aVar_symbolVV6FAainfix =ainfix @!V1V26ainfix @!V2V26Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV27aVar_symbolVainfix @!V2V26ainfix @!V2V26Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV28aVar_symbolVainfix @!V1V26CaVar_symbolainfix @!aidentityainfix @!aidentityV29aVar_symbolVainfix @!V2V26Aainfix =ainfix @!V1V26CaVar_symbolainfix @!aidentityainfix @!aidentityV30aVar_symbolVainfix @!V1V26Aainfix =ainfix @!arename_subst_symbolV2aidentityV26CaVar_symbolainfix @!aidentityV31aVar_symbolVainfix @!V2V26Aainfix =ainfix @!arename_subst_symbolV1aidentityV26ainfix @!arename_subst_symbolV2aidentityV26Aainfix =CaVar_symbolainfix @!aidentityV32aVar_symbolVainfix @!V1V26ainfix @!arename_subst_symbolV1aidentityV26ICainfix =V33V26aVar_symbolVV6FIainfix =ainfix @!V9V34ainfix @!V8V34ICainfix =V35V34aVar_symbolVV6FIainfix =Cainfix @!V9V36aVar_symbolVV6Cainfix @!V8V37aVar_symbolVV6Larename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityaAppVVV0Iainfix =asubst_fo_termV0V1V3asubst_fo_termV0V2V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_derive_equivalence_of_subst_fo_term"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.12"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter free_var_derive_equivalence_of_subst_fo_term.8"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="1357" loccnumb="13" loccnume="57"
- expl="8. assertion"
- sum="5f3d8d0ba33a2886bfb2dc6640760803"
- proved="true"
- expanded="false"
- shape="assertionCtaVar_fo_termVainfix =ainfix @!V3V14ainfix @!V4V14Iais_fo_term_free_var_in_fo_term_listV14V7FAainfix =ainfix @!V3V15ainfix @!V4V15Aainfix =arename_fo_termarename_fo_termainfix @!V4V15aidentityaidentityaidentityaidentityainfix @!V4V15Aainfix =arename_fo_termarename_fo_termainfix @!V3V15aidentityaidentityaidentityaidentityarename_fo_termarename_fo_termainfix @!V4V15aidentityaidentityaidentityaidentityAainfix =ainfix @!V3V15arename_fo_termarename_fo_termainfix @!V3V15aidentityaidentityaidentityaidentityAainfix =ainfix @!arename_subst_fo_termV4aidentityaidentityV15arename_fo_termainfix @!V4V15aidentityaidentityAainfix =ainfix @!arename_subst_fo_termV3aidentityaidentityV15ainfix @!arename_subst_fo_termV4aidentityaidentityV15Aainfix =arename_fo_termainfix @!V3V15aidentityaidentityainfix @!arename_subst_fo_termV3aidentityaidentityV15Iais_fo_term_free_var_in_fo_term_listV15V7FIainfix =ainfix @!V1V16ainfix @!V2V16Iais_symbol_free_var_in_fo_term_listV16V7FAainfix =ainfix @!V1V17ainfix @!V2V17Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV18aVar_symbolVainfix @!V2V17ainfix @!V2V17Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV19aVar_symbolVainfix @!V1V17CaVar_symbolainfix @!aidentityainfix @!aidentityV20aVar_symbolVainfix @!V2V17Aainfix =ainfix @!V1V17CaVar_symbolainfix @!aidentityainfix @!aidentityV21aVar_symbolVainfix @!V1V17Aainfix =ainfix @!arename_subst_symbolV2aidentityV17CaVar_symbolainfix @!aidentityV22aVar_symbolVainfix @!V2V17Aainfix =ainfix @!arename_subst_symbolV1aidentityV17ainfix @!arename_subst_symbolV2aidentityV17Aainfix =CaVar_symbolainfix @!aidentityV23aVar_symbolVainfix @!V1V17ainfix @!arename_subst_symbolV1aidentityV17Iais_symbol_free_var_in_fo_term_listV17V7FIainfix =ainfix @!V11V24ainfix @!V10V24Iais_fo_term_free_var_in_fo_term_listV24V7FAainfix =ainfix @!V13V25ainfix @!V12V25Iais_symbol_free_var_in_fo_term_listV25V7FIainfix =asubst_fo_term_listV7V13V11asubst_fo_term_listV7V12V10Larename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityLarename_subst_fo_termV4aidentityaidentityIainfix =ainfix @!V1V26ainfix @!V2V26ICainfix =V27V26aVar_symbolVV6FAainfix =ainfix @!V1V28ainfix @!V2V28Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV29aVar_symbolVainfix @!V2V28ainfix @!V2V28Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV30aVar_symbolVainfix @!V1V28CaVar_symbolainfix @!aidentityainfix @!aidentityV31aVar_symbolVainfix @!V2V28Aainfix =ainfix @!V1V28CaVar_symbolainfix @!aidentityainfix @!aidentityV32aVar_symbolVainfix @!V1V28Aainfix =ainfix @!arename_subst_symbolV2aidentityV28CaVar_symbolainfix @!aidentityV33aVar_symbolVainfix @!V2V28Aainfix =ainfix @!arename_subst_symbolV1aidentityV28ainfix @!arename_subst_symbolV2aidentityV28Aainfix =CaVar_symbolainfix @!aidentityV34aVar_symbolVainfix @!V1V28ainfix @!arename_subst_symbolV1aidentityV28ICainfix =V35V28aVar_symbolVV6FIainfix =ainfix @!V9V36ainfix @!V8V36ICainfix =V37V36aVar_symbolVV6FIainfix =Cainfix @!V9V38aVar_symbolVV6Cainfix @!V8V39aVar_symbolVV6Larename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityaAppVVV0Iainfix =asubst_fo_termV0V1V3asubst_fo_termV0V2V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_derive_equivalence_of_subst_fo_term"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.11"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter free_var_derive_equivalence_of_subst_fo_term.9"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="1357" loccnumb="13" loccnume="57"
- expl="9. postcondition"
- sum="a6d1d61bd692cb3b4e72fa6c724e9159"
- proved="true"
- expanded="false"
- shape="postconditionCtaVar_fo_termVainfix =ainfix @!V1V14ainfix @!V2V14Iais_symbol_free_var_in_fo_termV14V0FIainfix =ainfix @!V3V15ainfix @!V4V15Iais_fo_term_free_var_in_fo_term_listV15V7FAainfix =ainfix @!V3V16ainfix @!V4V16Aainfix =arename_fo_termarename_fo_termainfix @!V4V16aidentityaidentityaidentityaidentityainfix @!V4V16Aainfix =arename_fo_termarename_fo_termainfix @!V3V16aidentityaidentityaidentityaidentityarename_fo_termarename_fo_termainfix @!V4V16aidentityaidentityaidentityaidentityAainfix =ainfix @!V3V16arename_fo_termarename_fo_termainfix @!V3V16aidentityaidentityaidentityaidentityAainfix =ainfix @!arename_subst_fo_termV4aidentityaidentityV16arename_fo_termainfix @!V4V16aidentityaidentityAainfix =ainfix @!arename_subst_fo_termV3aidentityaidentityV16ainfix @!arename_subst_fo_termV4aidentityaidentityV16Aainfix =arename_fo_termainfix @!V3V16aidentityaidentityainfix @!arename_subst_fo_termV3aidentityaidentityV16Iais_fo_term_free_var_in_fo_term_listV16V7FIainfix =ainfix @!V1V17ainfix @!V2V17Iais_symbol_free_var_in_fo_term_listV17V7FAainfix =ainfix @!V1V18ainfix @!V2V18Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV19aVar_symbolVainfix @!V2V18ainfix @!V2V18Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV20aVar_symbolVainfix @!V1V18CaVar_symbolainfix @!aidentityainfix @!aidentityV21aVar_symbolVainfix @!V2V18Aainfix =ainfix @!V1V18CaVar_symbolainfix @!aidentityainfix @!aidentityV22aVar_symbolVainfix @!V1V18Aainfix =ainfix @!arename_subst_symbolV2aidentityV18CaVar_symbolainfix @!aidentityV23aVar_symbolVainfix @!V2V18Aainfix =ainfix @!arename_subst_symbolV1aidentityV18ainfix @!arename_subst_symbolV2aidentityV18Aainfix =CaVar_symbolainfix @!aidentityV24aVar_symbolVainfix @!V1V18ainfix @!arename_subst_symbolV1aidentityV18Iais_symbol_free_var_in_fo_term_listV18V7FIainfix =ainfix @!V11V25ainfix @!V10V25Iais_fo_term_free_var_in_fo_term_listV25V7FAainfix =ainfix @!V13V26ainfix @!V12V26Iais_symbol_free_var_in_fo_term_listV26V7FIainfix =asubst_fo_term_listV7V13V11asubst_fo_term_listV7V12V10Larename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityLarename_subst_fo_termV4aidentityaidentityIainfix =ainfix @!V1V27ainfix @!V2V27ICainfix =V28V27aVar_symbolVV6FAainfix =ainfix @!V1V29ainfix @!V2V29Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV30aVar_symbolVainfix @!V2V29ainfix @!V2V29Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV31aVar_symbolVainfix @!V1V29CaVar_symbolainfix @!aidentityainfix @!aidentityV32aVar_symbolVainfix @!V2V29Aainfix =ainfix @!V1V29CaVar_symbolainfix @!aidentityainfix @!aidentityV33aVar_symbolVainfix @!V1V29Aainfix =ainfix @!arename_subst_symbolV2aidentityV29CaVar_symbolainfix @!aidentityV34aVar_symbolVainfix @!V2V29Aainfix =ainfix @!arename_subst_symbolV1aidentityV29ainfix @!arename_subst_symbolV2aidentityV29Aainfix =CaVar_symbolainfix @!aidentityV35aVar_symbolVainfix @!V1V29ainfix @!arename_subst_symbolV1aidentityV29ICainfix =V36V29aVar_symbolVV6FIainfix =ainfix @!V9V37ainfix @!V8V37ICainfix =V38V37aVar_symbolVV6FIainfix =Cainfix @!V9V39aVar_symbolVV6Cainfix @!V8V40aVar_symbolVV6Larename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityaAppVVV0Iainfix =asubst_fo_termV0V1V3asubst_fo_termV0V2V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_derive_equivalence_of_subst_fo_term"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.10"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter free_var_derive_equivalence_of_subst_fo_term.10"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="1357" loccnumb="13" loccnume="57"
- expl="10. postcondition"
- sum="8ffcfc396179bea4f7f2412ea1037dfb"
- proved="true"
- expanded="false"
- shape="postconditionCtaVar_fo_termVainfix =ainfix @!V3V14ainfix @!V4V14Iais_fo_term_free_var_in_fo_termV14V0FIainfix =ainfix @!V3V15ainfix @!V4V15Iais_fo_term_free_var_in_fo_term_listV15V7FAainfix =ainfix @!V3V16ainfix @!V4V16Aainfix =arename_fo_termarename_fo_termainfix @!V4V16aidentityaidentityaidentityaidentityainfix @!V4V16Aainfix =arename_fo_termarename_fo_termainfix @!V3V16aidentityaidentityaidentityaidentityarename_fo_termarename_fo_termainfix @!V4V16aidentityaidentityaidentityaidentityAainfix =ainfix @!V3V16arename_fo_termarename_fo_termainfix @!V3V16aidentityaidentityaidentityaidentityAainfix =ainfix @!arename_subst_fo_termV4aidentityaidentityV16arename_fo_termainfix @!V4V16aidentityaidentityAainfix =ainfix @!arename_subst_fo_termV3aidentityaidentityV16ainfix @!arename_subst_fo_termV4aidentityaidentityV16Aainfix =arename_fo_termainfix @!V3V16aidentityaidentityainfix @!arename_subst_fo_termV3aidentityaidentityV16Iais_fo_term_free_var_in_fo_term_listV16V7FIainfix =ainfix @!V1V17ainfix @!V2V17Iais_symbol_free_var_in_fo_term_listV17V7FAainfix =ainfix @!V1V18ainfix @!V2V18Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV19aVar_symbolVainfix @!V2V18ainfix @!V2V18Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV20aVar_symbolVainfix @!V1V18CaVar_symbolainfix @!aidentityainfix @!aidentityV21aVar_symbolVainfix @!V2V18Aainfix =ainfix @!V1V18CaVar_symbolainfix @!aidentityainfix @!aidentityV22aVar_symbolVainfix @!V1V18Aainfix =ainfix @!arename_subst_symbolV2aidentityV18CaVar_symbolainfix @!aidentityV23aVar_symbolVainfix @!V2V18Aainfix =ainfix @!arename_subst_symbolV1aidentityV18ainfix @!arename_subst_symbolV2aidentityV18Aainfix =CaVar_symbolainfix @!aidentityV24aVar_symbolVainfix @!V1V18ainfix @!arename_subst_symbolV1aidentityV18Iais_symbol_free_var_in_fo_term_listV18V7FIainfix =ainfix @!V11V25ainfix @!V10V25Iais_fo_term_free_var_in_fo_term_listV25V7FAainfix =ainfix @!V13V26ainfix @!V12V26Iais_symbol_free_var_in_fo_term_listV26V7FIainfix =asubst_fo_term_listV7V13V11asubst_fo_term_listV7V12V10Larename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityLarename_subst_fo_termV3aidentityaidentityLarename_subst_fo_termV4aidentityaidentityIainfix =ainfix @!V1V27ainfix @!V2V27ICainfix =V28V27aVar_symbolVV6FAainfix =ainfix @!V1V29ainfix @!V2V29Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV30aVar_symbolVainfix @!V2V29ainfix @!V2V29Aainfix =CaVar_symbolainfix @!aidentityainfix @!aidentityV31aVar_symbolVainfix @!V1V29CaVar_symbolainfix @!aidentityainfix @!aidentityV32aVar_symbolVainfix @!V2V29Aainfix =ainfix @!V1V29CaVar_symbolainfix @!aidentityainfix @!aidentityV33aVar_symbolVainfix @!V1V29Aainfix =ainfix @!arename_subst_symbolV2aidentityV29CaVar_symbolainfix @!aidentityV34aVar_symbolVainfix @!V2V29Aainfix =ainfix @!arename_subst_symbolV1aidentityV29ainfix @!arename_subst_symbolV2aidentityV29Aainfix =CaVar_symbolainfix @!aidentityV35aVar_symbolVainfix @!V1V29ainfix @!arename_subst_symbolV1aidentityV29ICainfix =V36V29aVar_symbolVV6FIainfix =ainfix @!V9V37ainfix @!V8V37ICainfix =V38V37aVar_symbolVV6FIainfix =Cainfix @!V9V39aVar_symbolVV6Cainfix @!V8V40aVar_symbolVV6Larename_subst_symbolV1aidentityLarename_subst_symbolV2aidentityaAppVVV0Iainfix =asubst_fo_termV0V1V3asubst_fo_termV0V2V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_derive_equivalence_of_subst_fo_term"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.06"/>
- </proof>
- </goal>
- </transf>
- </goal>
- <goal
- name="WP_parameter free_var_derive_equivalence_of_rename_fo_term_list"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="1421" loccnumb="12" loccnume="62"
- expl="VC for free_var_derive_equivalence_of_rename_fo_term_list"
- sum="dc4a22052b94f80d19f003e4e6309385"
- proved="true"
- expanded="false"
- shape="ainfix =ainfix @!V3V9ainfix @!V4V9Iais_fo_term_free_var_in_fo_term_listV9V0FAainfix =ainfix @!V1V10ainfix @!V2V10Iais_symbol_free_var_in_fo_term_listV10V0FAainfix =ainfix @!V3V11ainfix @!V4V11Aainfix =ainfix @!V3V11ainfix @!V4V11Iainfix =ainfix @!asubst_of_rename_fo_termV3V11ainfix @!asubst_of_rename_fo_termV4V11FAainfix =ainfix @!V1V12ainfix @!V2V12Aainfix =ainfix @!V1V12ainfix @!V2V12Iainfix =ainfix @!asubst_of_rename_symbolV1V12ainfix @!asubst_of_rename_symbolV2V12FIainfix =ainfix @!V6V13ainfix @!V5V13Iais_fo_term_free_var_in_fo_term_listV13V0FAainfix =ainfix @!V8V14ainfix @!V7V14Iais_symbol_free_var_in_fo_term_listV14V0FAainfix =asubst_fo_term_listV0V8V6asubst_fo_term_listV0V7V5Lasubst_of_rename_symbolV1Lasubst_of_rename_symbolV2Lasubst_of_rename_fo_termV3Lasubst_of_rename_fo_termV4Iainfix =arename_fo_term_listV0V1V3arename_fo_term_listV0V2V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_derive_equivalence_of_rename_fo_term_list"/>
- <transf
- name="split_goal_wp"
- proved="true"
- expanded="false">
- <goal
- name="WP_parameter free_var_derive_equivalence_of_rename_fo_term_list.1"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="1421" loccnumb="12" loccnume="62"
- expl="1. precondition"
- sum="291e8691a4bacefae0ca4ae9b1b70348"
- proved="true"
- expanded="false"
- shape="preconditionainfix =asubst_fo_term_listV0V8V6asubst_fo_term_listV0V7V5Lasubst_of_rename_symbolV1Lasubst_of_rename_symbolV2Lasubst_of_rename_fo_termV3Lasubst_of_rename_fo_termV4Iainfix =arename_fo_term_listV0V1V3arename_fo_term_listV0V2V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_derive_equivalence_of_rename_fo_term_list"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.04"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter free_var_derive_equivalence_of_rename_fo_term_list.2"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="1421" loccnumb="12" loccnume="62"
- expl="2. assertion"
- sum="facc9223640764a2cf349bd95058e569"
- proved="true"
- expanded="false"
- shape="assertionainfix =ainfix @!V1V9ainfix @!V2V9Aainfix =ainfix @!V1V9ainfix @!V2V9Iainfix =ainfix @!asubst_of_rename_symbolV1V9ainfix @!asubst_of_rename_symbolV2V9FIainfix =ainfix @!V6V10ainfix @!V5V10Iais_fo_term_free_var_in_fo_term_listV10V0FAainfix =ainfix @!V8V11ainfix @!V7V11Iais_symbol_free_var_in_fo_term_listV11V0FIainfix =asubst_fo_term_listV0V8V6asubst_fo_term_listV0V7V5Lasubst_of_rename_symbolV1Lasubst_of_rename_symbolV2Lasubst_of_rename_fo_termV3Lasubst_of_rename_fo_termV4Iainfix =arename_fo_term_listV0V1V3arename_fo_term_listV0V2V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_derive_equivalence_of_rename_fo_term_list"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.05"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter free_var_derive_equivalence_of_rename_fo_term_list.3"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="1421" loccnumb="12" loccnume="62"
- expl="3. assertion"
- sum="12a264d1f2d0e823aa8c36762d40c969"
- proved="true"
- expanded="false"
- shape="assertionainfix =ainfix @!V3V9ainfix @!V4V9Aainfix =ainfix @!V3V9ainfix @!V4V9Iainfix =ainfix @!asubst_of_rename_fo_termV3V9ainfix @!asubst_of_rename_fo_termV4V9FIainfix =ainfix @!V1V10ainfix @!V2V10Aainfix =ainfix @!V1V10ainfix @!V2V10Iainfix =ainfix @!asubst_of_rename_symbolV1V10ainfix @!asubst_of_rename_symbolV2V10FIainfix =ainfix @!V6V11ainfix @!V5V11Iais_fo_term_free_var_in_fo_term_listV11V0FAainfix =ainfix @!V8V12ainfix @!V7V12Iais_symbol_free_var_in_fo_term_listV12V0FIainfix =asubst_fo_term_listV0V8V6asubst_fo_term_listV0V7V5Lasubst_of_rename_symbolV1Lasubst_of_rename_symbolV2Lasubst_of_rename_fo_termV3Lasubst_of_rename_fo_termV4Iainfix =arename_fo_term_listV0V1V3arename_fo_term_listV0V2V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_derive_equivalence_of_rename_fo_term_list"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.06"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter free_var_derive_equivalence_of_rename_fo_term_list.4"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="1421" loccnumb="12" loccnume="62"
- expl="4. postcondition"
- sum="60f0d0b4891b8a706d3a9b3560286bbe"
- proved="true"
- expanded="false"
- shape="postconditionainfix =ainfix @!V1V9ainfix @!V2V9Iais_symbol_free_var_in_fo_term_listV9V0FIainfix =ainfix @!V3V10ainfix @!V4V10Aainfix =ainfix @!V3V10ainfix @!V4V10Iainfix =ainfix @!asubst_of_rename_fo_termV3V10ainfix @!asubst_of_rename_fo_termV4V10FIainfix =ainfix @!V1V11ainfix @!V2V11Aainfix =ainfix @!V1V11ainfix @!V2V11Iainfix =ainfix @!asubst_of_rename_symbolV1V11ainfix @!asubst_of_rename_symbolV2V11FIainfix =ainfix @!V6V12ainfix @!V5V12Iais_fo_term_free_var_in_fo_term_listV12V0FAainfix =ainfix @!V8V13ainfix @!V7V13Iais_symbol_free_var_in_fo_term_listV13V0FIainfix =asubst_fo_term_listV0V8V6asubst_fo_term_listV0V7V5Lasubst_of_rename_symbolV1Lasubst_of_rename_symbolV2Lasubst_of_rename_fo_termV3Lasubst_of_rename_fo_termV4Iainfix =arename_fo_term_listV0V1V3arename_fo_term_listV0V2V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_derive_equivalence_of_rename_fo_term_list"/>
- <proof
- prover="1"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.35"/>
- </proof>
- <proof
- prover="2"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.50"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter free_var_derive_equivalence_of_rename_fo_term_list.5"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="1421" loccnumb="12" loccnume="62"
- expl="5. postcondition"
- sum="42c81fa326f79d7e9e65d66a96c12e10"
- proved="true"
- expanded="false"
- shape="postconditionainfix =ainfix @!V3V9ainfix @!V4V9Iais_fo_term_free_var_in_fo_term_listV9V0FIainfix =ainfix @!V3V10ainfix @!V4V10Aainfix =ainfix @!V3V10ainfix @!V4V10Iainfix =ainfix @!asubst_of_rename_fo_termV3V10ainfix @!asubst_of_rename_fo_termV4V10FIainfix =ainfix @!V1V11ainfix @!V2V11Aainfix =ainfix @!V1V11ainfix @!V2V11Iainfix =ainfix @!asubst_of_rename_symbolV1V11ainfix @!asubst_of_rename_symbolV2V11FIainfix =ainfix @!V6V12ainfix @!V5V12Iais_fo_term_free_var_in_fo_term_listV12V0FAainfix =ainfix @!V8V13ainfix @!V7V13Iais_symbol_free_var_in_fo_term_listV13V0FIainfix =asubst_fo_term_listV0V8V6asubst_fo_term_listV0V7V5Lasubst_of_rename_symbolV1Lasubst_of_rename_symbolV2Lasubst_of_rename_fo_termV3Lasubst_of_rename_fo_termV4Iainfix =arename_fo_term_listV0V1V3arename_fo_term_listV0V2V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_derive_equivalence_of_rename_fo_term_list"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="timeout" time="4.79"/>
- </proof>
- <proof
- prover="2"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.52"/>
- </proof>
- </goal>
- </transf>
- </goal>
- <goal
- name="WP_parameter free_var_derive_equivalence_of_rename_fo_term"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="1448" loccnumb="12" loccnume="57"
- expl="VC for free_var_derive_equivalence_of_rename_fo_term"
- sum="d758b66512f1d319e1c4eae97c370cb2"
- proved="true"
- expanded="false"
- shape="ainfix =ainfix @!V3V9ainfix @!V4V9Iais_fo_term_free_var_in_fo_termV9V0FAainfix =ainfix @!V1V10ainfix @!V2V10Iais_symbol_free_var_in_fo_termV10V0FAainfix =ainfix @!V3V11ainfix @!V4V11Aainfix =ainfix @!V3V11ainfix @!V4V11Iainfix =ainfix @!asubst_of_rename_fo_termV3V11ainfix @!asubst_of_rename_fo_termV4V11FAainfix =ainfix @!V1V12ainfix @!V2V12Aainfix =ainfix @!V1V12ainfix @!V2V12Iainfix =ainfix @!asubst_of_rename_symbolV1V12ainfix @!asubst_of_rename_symbolV2V12FIainfix =ainfix @!V6V13ainfix @!V5V13Iais_fo_term_free_var_in_fo_termV13V0FAainfix =ainfix @!V8V14ainfix @!V7V14Iais_symbol_free_var_in_fo_termV14V0FAainfix =asubst_fo_termV0V8V6asubst_fo_termV0V7V5Lasubst_of_rename_symbolV1Lasubst_of_rename_symbolV2Lasubst_of_rename_fo_termV3Lasubst_of_rename_fo_termV4Iainfix =arename_fo_termV0V1V3arename_fo_termV0V2V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_derive_equivalence_of_rename_fo_term"/>
- <transf
- name="split_goal_wp"
- proved="true"
- expanded="false">
- <goal
- name="WP_parameter free_var_derive_equivalence_of_rename_fo_term.1"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="1448" loccnumb="12" loccnume="57"
- expl="1. precondition"
- sum="48ade34fad07bfef5345633cafc06c9b"
- proved="true"
- expanded="false"
- shape="preconditionainfix =asubst_fo_termV0V8V6asubst_fo_termV0V7V5Lasubst_of_rename_symbolV1Lasubst_of_rename_symbolV2Lasubst_of_rename_fo_termV3Lasubst_of_rename_fo_termV4Iainfix =arename_fo_termV0V1V3arename_fo_termV0V2V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_derive_equivalence_of_rename_fo_term"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.05"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter free_var_derive_equivalence_of_rename_fo_term.2"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="1448" loccnumb="12" loccnume="57"
- expl="2. assertion"
- sum="e479d89de816b4981033ce815a5a64a2"
- proved="true"
- expanded="false"
- shape="assertionainfix =ainfix @!V1V9ainfix @!V2V9Aainfix =ainfix @!V1V9ainfix @!V2V9Iainfix =ainfix @!asubst_of_rename_symbolV1V9ainfix @!asubst_of_rename_symbolV2V9FIainfix =ainfix @!V6V10ainfix @!V5V10Iais_fo_term_free_var_in_fo_termV10V0FAainfix =ainfix @!V8V11ainfix @!V7V11Iais_symbol_free_var_in_fo_termV11V0FIainfix =asubst_fo_termV0V8V6asubst_fo_termV0V7V5Lasubst_of_rename_symbolV1Lasubst_of_rename_symbolV2Lasubst_of_rename_fo_termV3Lasubst_of_rename_fo_termV4Iainfix =arename_fo_termV0V1V3arename_fo_termV0V2V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_derive_equivalence_of_rename_fo_term"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.05"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter free_var_derive_equivalence_of_rename_fo_term.3"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="1448" loccnumb="12" loccnume="57"
- expl="3. assertion"
- sum="4bb54547c755ddae76ab284c7a7c1b37"
- proved="true"
- expanded="false"
- shape="assertionainfix =ainfix @!V3V9ainfix @!V4V9Aainfix =ainfix @!V3V9ainfix @!V4V9Iainfix =ainfix @!asubst_of_rename_fo_termV3V9ainfix @!asubst_of_rename_fo_termV4V9FIainfix =ainfix @!V1V10ainfix @!V2V10Aainfix =ainfix @!V1V10ainfix @!V2V10Iainfix =ainfix @!asubst_of_rename_symbolV1V10ainfix @!asubst_of_rename_symbolV2V10FIainfix =ainfix @!V6V11ainfix @!V5V11Iais_fo_term_free_var_in_fo_termV11V0FAainfix =ainfix @!V8V12ainfix @!V7V12Iais_symbol_free_var_in_fo_termV12V0FIainfix =asubst_fo_termV0V8V6asubst_fo_termV0V7V5Lasubst_of_rename_symbolV1Lasubst_of_rename_symbolV2Lasubst_of_rename_fo_termV3Lasubst_of_rename_fo_termV4Iainfix =arename_fo_termV0V1V3arename_fo_termV0V2V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_derive_equivalence_of_rename_fo_term"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.07"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter free_var_derive_equivalence_of_rename_fo_term.4"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="1448" loccnumb="12" loccnume="57"
- expl="4. postcondition"
- sum="0de677d93c224d3844fa2ff3a3b6cd37"
- proved="true"
- expanded="false"
- shape="postconditionainfix =ainfix @!V1V9ainfix @!V2V9Iais_symbol_free_var_in_fo_termV9V0FIainfix =ainfix @!V3V10ainfix @!V4V10Aainfix =ainfix @!V3V10ainfix @!V4V10Iainfix =ainfix @!asubst_of_rename_fo_termV3V10ainfix @!asubst_of_rename_fo_termV4V10FIainfix =ainfix @!V1V11ainfix @!V2V11Aainfix =ainfix @!V1V11ainfix @!V2V11Iainfix =ainfix @!asubst_of_rename_symbolV1V11ainfix @!asubst_of_rename_symbolV2V11FIainfix =ainfix @!V6V12ainfix @!V5V12Iais_fo_term_free_var_in_fo_termV12V0FAainfix =ainfix @!V8V13ainfix @!V7V13Iais_symbol_free_var_in_fo_termV13V0FIainfix =asubst_fo_termV0V8V6asubst_fo_termV0V7V5Lasubst_of_rename_symbolV1Lasubst_of_rename_symbolV2Lasubst_of_rename_fo_termV3Lasubst_of_rename_fo_termV4Iainfix =arename_fo_termV0V1V3arename_fo_termV0V2V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_derive_equivalence_of_rename_fo_term"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="timeout" time="4.39"/>
- </proof>
- <proof
- prover="2"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.54"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter free_var_derive_equivalence_of_rename_fo_term.5"
- locfile="../Firstorder_term_spec.mlw"
- loclnum="1448" loccnumb="12" loccnume="57"
- expl="5. postcondition"
- sum="476e66c9c4e7d08fe5d2675e3fa505c9"
- proved="true"
- expanded="false"
- shape="postconditionainfix =ainfix @!V3V9ainfix @!V4V9Iais_fo_term_free_var_in_fo_termV9V0FIainfix =ainfix @!V3V10ainfix @!V4V10Aainfix =ainfix @!V3V10ainfix @!V4V10Iainfix =ainfix @!asubst_of_rename_fo_termV3V10ainfix @!asubst_of_rename_fo_termV4V10FIainfix =ainfix @!V1V11ainfix @!V2V11Aainfix =ainfix @!V1V11ainfix @!V2V11Iainfix =ainfix @!asubst_of_rename_symbolV1V11ainfix @!asubst_of_rename_symbolV2V11FIainfix =ainfix @!V6V12ainfix @!V5V12Iais_fo_term_free_var_in_fo_termV12V0FAainfix =ainfix @!V8V13ainfix @!V7V13Iais_symbol_free_var_in_fo_termV13V0FIainfix =asubst_fo_termV0V8V6asubst_fo_termV0V7V5Lasubst_of_rename_symbolV1Lasubst_of_rename_symbolV2Lasubst_of_rename_fo_termV3Lasubst_of_rename_fo_termV4Iainfix =arename_fo_termV0V1V3arename_fo_termV0V2V4F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for free_var_derive_equivalence_of_rename_fo_term"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="timeout" time="4.59"/>
- </proof>
- <proof
- prover="2"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.53"/>
- </proof>
- </goal>
- </transf>
- </goal>
- </theory>
- </file>
+<!DOCTYPE why3session PUBLIC "-//Why3//proof session v5//EN"
+"http://why3.lri.fr/why3session.dtd">
+<why3session shape_version="4">
+<prover id="1" name="CVC3" version="2.4.1" timelimit="5" memlimit="1000"/>
+<prover id="3" name="Alt-Ergo" version="0.99.1" timelimit="5" memlimit="1000"/>
+<prover id="4" name="CVC4" version="1.4" timelimit="5" memlimit="1000"/>
+<file name="../Firstorder_term_spec.mlw" expanded="true">
+<theory name="Spec" sum="a2ef8134765cfa11986661579d052662" expanded="true">
+ <goal name="WP_parameter size_positive_lemma_fo_term_list" expl="VC for size_positive_lemma_fo_term_list">
+ <proof prover="3"><result status="valid" time="0.06" steps="81"/></proof>
+ </goal>
+ <goal name="WP_parameter size_positive_lemma_fo_term" expl="VC for size_positive_lemma_fo_term">
+ <proof prover="3" timelimit="1"><result status="valid" time="0.03" steps="51"/></proof>
+ </goal>
+ <goal name="WP_parameter renaming_composition_lemma_fo_term_list" expl="VC for renaming_composition_lemma_fo_term_list">
+ <proof prover="3" timelimit="1"><result status="valid" time="0.03" steps="70"/></proof>
+ </goal>
+ <goal name="WP_parameter renaming_composition_lemma_fo_term" expl="VC for renaming_composition_lemma_fo_term">
+ <proof prover="3" timelimit="1"><result status="valid" time="0.02" steps="89"/></proof>
+ </goal>
+ <goal name="WP_parameter renaming_identity_lemma_fo_term_list" expl="VC for renaming_identity_lemma_fo_term_list">
+ <proof prover="3" timelimit="1"><result status="valid" time="0.04" steps="54"/></proof>
+ </goal>
+ <goal name="WP_parameter renaming_identity_lemma_fo_term" expl="VC for renaming_identity_lemma_fo_term">
+ <proof prover="3" timelimit="1"><result status="valid" time="0.03" steps="74"/></proof>
+ </goal>
+ <goal name="WP_parameter associativity_subst_rename_rename_lemma_fo_term" expl="VC for associativity_subst_rename_rename_lemma_fo_term">
+ <proof prover="3" timelimit="1"><result status="valid" time="0.02" steps="17"/></proof>
+ </goal>
+ <goal name="WP_parameter associativity_rename_subst_rename_lemma_fo_term" expl="VC for associativity_rename_subst_rename_lemma_fo_term">
+ <proof prover="3" timelimit="1"><result status="valid" time="0.02" steps="17"/></proof>
+ </goal>
+ <goal name="WP_parameter right_rename_subst_by_identity_lemma_fo_term" expl="VC for right_rename_subst_by_identity_lemma_fo_term">
+ <proof prover="3" timelimit="1"><result status="valid" time="0.03" steps="23"/></proof>
+ </goal>
+ <goal name="WP_parameter olifts_composition_lemma_rename_subst_fo_term" expl="VC for olifts_composition_lemma_rename_subst_fo_term">
+ <proof prover="3" timelimit="1"><result status="valid" time="0.17" steps="327"/></proof>
+ </goal>
+ <goal name="WP_parameter olifts_composition_lemma_subst_rename_fo_term" expl="VC for olifts_composition_lemma_subst_rename_fo_term">
+ <proof prover="3" timelimit="1"><result status="valid" time="0.75" steps="711"/></proof>
+ </goal>
+ <goal name="WP_parameter rename_then_subst_composition_lemma_fo_term_list" expl="VC for rename_then_subst_composition_lemma_fo_term_list">
+ <proof prover="3" timelimit="1"><result status="valid" time="0.06" steps="121"/></proof>
+ </goal>
+ <goal name="WP_parameter rename_then_subst_composition_lemma_fo_term" expl="VC for rename_then_subst_composition_lemma_fo_term">
+ <proof prover="3" timelimit="1"><result status="valid" time="0.05" steps="192"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_then_rename_composition_lemma_fo_term_list" expl="VC for subst_then_rename_composition_lemma_fo_term_list">
+ <proof prover="3" timelimit="1"><result status="valid" time="0.08" steps="162"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_then_rename_composition_lemma_fo_term" expl="VC for subst_then_rename_composition_lemma_fo_term">
+ <proof prover="3" timelimit="1"><result status="valid" time="0.06" steps="190"/></proof>
+ </goal>
+ <goal name="WP_parameter associativity_rename_subst_subst_lemma_fo_term" expl="VC for associativity_rename_subst_subst_lemma_fo_term">
+ <proof prover="3" timelimit="1"><result status="valid" time="0.02" steps="17"/></proof>
+ </goal>
+ <goal name="WP_parameter associativity_subst_rename_subst_lemma_fo_term" expl="VC for associativity_subst_rename_subst_lemma_fo_term">
+ <proof prover="3" timelimit="1"><result status="valid" time="0.04" steps="17"/></proof>
+ </goal>
+ <goal name="WP_parameter associativity_subst_subst_rename_lemma_fo_term" expl="VC for associativity_subst_subst_rename_lemma_fo_term">
+ <proof prover="3" timelimit="1"><result status="valid" time="0.02" steps="17"/></proof>
+ </goal>
+ <goal name="WP_parameter olifts_composition_lemma_subst_subst_fo_term" expl="VC for olifts_composition_lemma_subst_subst_fo_term">
+ <proof prover="3" timelimit="1"><result status="valid" time="1.86" steps="964"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_composition_lemma_fo_term_list" expl="VC for subst_composition_lemma_fo_term_list">
+ <transf name="split_goal_wp">
+ <goal name="WP_parameter subst_composition_lemma_fo_term_list.1" expl="1. postcondition">
+ <proof prover="3"><result status="valid" time="0.04" steps="7"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_composition_lemma_fo_term_list.2" expl="2. variant decrease">
+ <proof prover="3"><result status="valid" time="0.02" steps="8"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_composition_lemma_fo_term_list.3" expl="3. variant decrease">
+ <proof prover="3"><result status="valid" time="0.04" steps="9"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_composition_lemma_fo_term_list.4" expl="4. postcondition">
+ <proof prover="3"><result status="valid" time="0.05" steps="39"/></proof>
+ </goal>
+ </transf>
+ </goal>
+ <goal name="WP_parameter subst_composition_lemma_fo_term" expl="VC for subst_composition_lemma_fo_term">
+ <transf name="split_goal_wp">
+ <goal name="WP_parameter subst_composition_lemma_fo_term.1" expl="1. postcondition">
+ <proof prover="3"><result status="valid" time="0.04" steps="7"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_composition_lemma_fo_term.2" expl="2. variant decrease">
+ <proof prover="3"><result status="valid" time="0.04" steps="10"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_composition_lemma_fo_term.3" expl="3. postcondition">
+ <proof prover="3"><result status="valid" time="0.04" steps="44"/></proof>
+ </goal>
+ </transf>
+ </goal>
+ <goal name="WP_parameter associativity_subst_subst_subst_lemma_fo_term" expl="VC for associativity_subst_subst_subst_lemma_fo_term">
+ <proof prover="3" timelimit="1"><result status="valid" time="0.03" steps="17"/></proof>
+ </goal>
+ <goal name="WP_parameter olifts_identity_fo_term" expl="VC for olifts_identity_fo_term">
+ <transf name="split_goal_wp">
+ <goal name="WP_parameter olifts_identity_fo_term.1" expl="1. assertion">
+ <transf name="split_goal_wp">
+ <goal name="WP_parameter olifts_identity_fo_term.1.1" expl="1. assertion">
+ <proof prover="3" timelimit="1"><result status="valid" time="0.02" steps="18"/></proof>
+ </goal>
+ <goal name="WP_parameter olifts_identity_fo_term.1.2" expl="2. assertion">
+ <proof prover="3" timelimit="1"><result status="valid" time="0.04" steps="83"/></proof>
+ </goal>
+ </transf>
+ </goal>
+ <goal name="WP_parameter olifts_identity_fo_term.2" expl="2. assertion">
+ <proof prover="3" timelimit="1"><result status="valid" time="0.03" steps="8"/></proof>
+ </goal>
+ <goal name="WP_parameter olifts_identity_fo_term.3" expl="3. postcondition">
+ <proof prover="3" timelimit="1"><result status="valid" time="0.03" steps="12"/></proof>
+ </goal>
+ </transf>
+ </goal>
+ <goal name="WP_parameter left_rename_subst_identity_lemma_fo_term" expl="VC for left_rename_subst_identity_lemma_fo_term">
+ <proof prover="3" timelimit="1"><result status="valid" time="0.04" steps="56"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_identity_lemma_fo_term_list" expl="VC for subst_identity_lemma_fo_term_list">
+ <proof prover="3" timelimit="1"><result status="valid" time="0.06" steps="118"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_identity_lemma_fo_term" expl="VC for subst_identity_lemma_fo_term">
+ <proof prover="3" timelimit="1"><result status="valid" time="0.04" steps="89"/></proof>
+ </goal>
+ <goal name="WP_parameter left_subst_subst_identity_lemma_fo_term" expl="VC for left_subst_subst_identity_lemma_fo_term">
+ <proof prover="3" timelimit="1"><result status="valid" time="0.04" steps="38"/></proof>
+ </goal>
+ <goal name="WP_parameter right_subst_subst_by_identity_lemma_fo_term" expl="VC for right_subst_subst_by_identity_lemma_fo_term">
+ <proof prover="3" timelimit="1"><result status="valid" time="0.04" steps="21"/></proof>
+ </goal>
+ <goal name="WP_parameter renaming_preserve_size_fo_term_list" expl="VC for renaming_preserve_size_fo_term_list">
+ <proof prover="3" timelimit="1"><result status="valid" time="0.05" steps="61"/></proof>
+ </goal>
+ <goal name="WP_parameter renaming_preserve_size_fo_term" expl="VC for renaming_preserve_size_fo_term">
+ <proof prover="3" timelimit="1"><result status="valid" time="0.04" steps="58"/></proof>
+ </goal>
+ <goal name="WP_parameter rename_free_var_constructive_inversion_symbol_fo_term_list" expl="VC for rename_free_var_constructive_inversion_symbol_fo_term_list">
+ <transf name="split_goal_wp">
+ <goal name="WP_parameter rename_free_var_constructive_inversion_symbol_fo_term_list.1" expl="1. unreachable point">
+ <proof prover="3"><result status="valid" time="0.04" steps="17"/></proof>
+ </goal>
+ <goal name="WP_parameter rename_free_var_constructive_inversion_symbol_fo_term_list.2" expl="2. variant decrease">
+ <proof prover="3"><result status="valid" time="0.04" steps="10"/></proof>
+ </goal>
+ <goal name="WP_parameter rename_free_var_constructive_inversion_symbol_fo_term_list.3" expl="3. precondition">
+ <proof prover="3"><result status="valid" time="0.03" steps="6"/></proof>
+ </goal>
+ <goal name="WP_parameter rename_free_var_constructive_inversion_symbol_fo_term_list.4" expl="4. postcondition">
+ <proof prover="3"><result status="valid" time="0.03" steps="9"/></proof>
+ </goal>
+ <goal name="WP_parameter rename_free_var_constructive_inversion_symbol_fo_term_list.5" expl="5. variant decrease">
+ <proof prover="3"><result status="valid" time="0.04" steps="11"/></proof>
+ </goal>
+ <goal name="WP_parameter rename_free_var_constructive_inversion_symbol_fo_term_list.6" expl="6. precondition">
+ <proof prover="3"><result status="valid" time="0.03" steps="7"/></proof>
+ </goal>
+ <goal name="WP_parameter rename_free_var_constructive_inversion_symbol_fo_term_list.7" expl="7. postcondition">
+ <proof prover="3"><result status="valid" time="0.04" steps="10"/></proof>
+ </goal>
+ <goal name="WP_parameter rename_free_var_constructive_inversion_symbol_fo_term_list.8" expl="8. unreachable point">
+ <proof prover="3"><result status="valid" time="0.05" steps="38"/></proof>
+ </goal>
+ </transf>
+ </goal>
+ <goal name="WP_parameter rename_free_var_inversion_symbol_fo_term_list" expl="VC for rename_free_var_inversion_symbol_fo_term_list">
+ <proof prover="3"><result status="valid" time="0.04" steps="9"/></proof>
+ </goal>
+ <goal name="WP_parameter rename_free_var_constructive_inversion_fo_term_fo_term_list" expl="VC for rename_free_var_constructive_inversion_fo_term_fo_term_list">
+ <proof prover="3" timelimit="1"><result status="valid" time="0.06" steps="135"/></proof>
+ </goal>
+ <goal name="WP_parameter rename_free_var_inversion_fo_term_fo_term_list" expl="VC for rename_free_var_inversion_fo_term_fo_term_list">
+ <proof prover="3" timelimit="1"><result status="valid" time="0.02" steps="9"/></proof>
+ </goal>
+ <goal name="WP_parameter rename_free_var_constructive_inversion_symbol_fo_term" expl="VC for rename_free_var_constructive_inversion_symbol_fo_term">
+ <proof prover="3"><result status="valid" time="0.10" steps="141"/></proof>
+ </goal>
+ <goal name="WP_parameter rename_free_var_inversion_symbol_fo_term" expl="VC for rename_free_var_inversion_symbol_fo_term">
+ <proof prover="3"><result status="valid" time="0.04" steps="9"/></proof>
+ </goal>
+ <goal name="WP_parameter rename_free_var_constructive_inversion_fo_term_fo_term" expl="VC for rename_free_var_constructive_inversion_fo_term_fo_term">
+ <proof prover="3" timelimit="1"><result status="valid" time="0.06" steps="114"/></proof>
+ </goal>
+ <goal name="WP_parameter rename_free_var_inversion_fo_term_fo_term" expl="VC for rename_free_var_inversion_fo_term_fo_term">
+ <proof prover="3" timelimit="1"><result status="valid" time="0.03" steps="9"/></proof>
+ </goal>
+ <goal name="WP_parameter rename_free_var_propagation_symbol_fo_term_list" expl="VC for rename_free_var_propagation_symbol_fo_term_list">
+ <proof prover="3"><result status="valid" time="0.10" steps="147"/></proof>
+ </goal>
+ <goal name="WP_parameter rename_free_var_propagation_fo_term_fo_term_list" expl="VC for rename_free_var_propagation_fo_term_fo_term_list">
+ <proof prover="3" timelimit="1"><result status="valid" time="0.08" steps="147"/></proof>
+ </goal>
+ <goal name="WP_parameter rename_free_var_propagation_symbol_fo_term" expl="VC for rename_free_var_propagation_symbol_fo_term">
+ <proof prover="3"><result status="valid" time="0.10" steps="159"/></proof>
+ </goal>
+ <goal name="WP_parameter rename_free_var_propagation_fo_term_fo_term" expl="VC for rename_free_var_propagation_fo_term_fo_term">
+ <proof prover="3" timelimit="1"><result status="valid" time="0.04" steps="99"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_term_list" expl="VC for subst_free_var_constructive_inversion_symbol_fo_term_list">
+ <proof prover="3"><result status="valid" time="0.34" steps="683"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_free_var_inversion_symbol_fo_term_list" expl="VC for subst_free_var_inversion_symbol_fo_term_list">
+ <proof prover="3"><result status="valid" time="0.06" steps="57"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_free_var_constructive_inversion_fo_term_fo_term_list" expl="VC for subst_free_var_constructive_inversion_fo_term_fo_term_list">
+ <proof prover="3" timelimit="1"><result status="valid" time="0.12" steps="389"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_free_var_inversion_fo_term_fo_term_list" expl="VC for subst_free_var_inversion_fo_term_fo_term_list">
+ <proof prover="3" timelimit="1"><result status="valid" time="0.04" steps="9"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_term" expl="VC for subst_free_var_constructive_inversion_symbol_fo_term">
+ <transf name="split_goal_wp">
+ <goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_term.1" expl="1. postcondition">
+ <proof prover="3"><result status="valid" time="0.04" steps="9"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_term.2" expl="2. precondition">
+ <proof prover="3"><result status="valid" time="0.03" steps="7"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_term.3" expl="3. precondition">
+ <proof prover="3"><result status="valid" time="0.04" steps="24"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_term.4" expl="4. assertion">
+ <proof prover="3"><result status="valid" time="0.04" steps="26"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_term.5" expl="5. postcondition">
+ <proof prover="3"><result status="valid" time="0.04" steps="19"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_term.6" expl="6. variant decrease">
+ <proof prover="3"><result status="valid" time="0.04" steps="13"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_term.7" expl="7. precondition">
+ <proof prover="3"><result status="valid" time="0.03" steps="8"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_term.8" expl="8. precondition">
+ <proof prover="3"><result status="valid" time="0.05" steps="64"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_term.9" expl="9. assertion">
+ <proof prover="3"><result status="valid" time="0.06" steps="69"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_term.10" expl="10. postcondition">
+ <proof prover="3"><result status="valid" time="0.04" steps="78"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_term.11" expl="11. precondition">
+ <proof prover="3"><result status="valid" time="0.04" steps="63"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_term.12" expl="12. assertion">
+ <proof prover="3"><result status="valid" time="0.04" steps="65"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_term.13" expl="13. postcondition">
+ <proof prover="3"><result status="valid" time="0.05" steps="64"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_free_var_constructive_inversion_symbol_fo_term.14" expl="14. unreachable point">
+ <proof prover="3"><result status="valid" time="0.15" steps="189"/></proof>
+ </goal>
+ </transf>
+ </goal>
+ <goal name="WP_parameter subst_free_var_inversion_symbol_fo_term" expl="VC for subst_free_var_inversion_symbol_fo_term">
+ <proof prover="3"><result status="valid" time="0.06" steps="57"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_free_var_constructive_inversion_fo_term_fo_term" expl="VC for subst_free_var_constructive_inversion_fo_term_fo_term">
+ <proof prover="3" timelimit="1"><result status="valid" time="0.07" steps="228"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_free_var_inversion_fo_term_fo_term" expl="VC for subst_free_var_inversion_fo_term_fo_term">
+ <proof prover="3" timelimit="1"><result status="valid" time="0.02" steps="9"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_free_var_propagation_symbol_symbol_fo_term_list" expl="VC for subst_free_var_propagation_symbol_symbol_fo_term_list">
+ <proof prover="3"><result status="valid" time="0.35" steps="560"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_free_var_propagation_fo_term_symbol_fo_term_list" expl="VC for subst_free_var_propagation_fo_term_symbol_fo_term_list">
+ <proof prover="3"><result status="valid" time="0.26" steps="543"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_free_var_propagation_fo_term_fo_term_fo_term_list" expl="VC for subst_free_var_propagation_fo_term_fo_term_fo_term_list">
+ <transf name="split_goal_wp">
+ <goal name="WP_parameter subst_free_var_propagation_fo_term_fo_term_fo_term_list.1" expl="1. postcondition">
+ <proof prover="3" timelimit="1"><result status="valid" time="0.03" steps="12"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_free_var_propagation_fo_term_fo_term_fo_term_list.2" expl="2. variant decrease">
+ <proof prover="3" timelimit="1"><result status="valid" time="0.03" steps="8"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_free_var_propagation_fo_term_fo_term_fo_term_list.3" expl="3. assertion">
+ <proof prover="3" timelimit="1"><result status="valid" time="0.03" steps="7"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_free_var_propagation_fo_term_fo_term_fo_term_list.4" expl="4. variant decrease">
+ <proof prover="3" timelimit="1"><result status="valid" time="0.04" steps="10"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_free_var_propagation_fo_term_fo_term_fo_term_list.5" expl="5. assertion">
+ <proof prover="3" timelimit="1"><result status="valid" time="0.04" steps="7"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_free_var_propagation_fo_term_fo_term_fo_term_list.6" expl="6. postcondition">
+ <proof prover="3" timelimit="1"><result status="valid" time="0.04" steps="125"/></proof>
+ </goal>
+ </transf>
+ </goal>
+ <goal name="WP_parameter subst_free_var_propagation_symbol_symbol_fo_term" expl="VC for subst_free_var_propagation_symbol_symbol_fo_term">
+ <proof prover="3"><result status="valid" time="0.68" steps="1123"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_free_var_propagation_fo_term_symbol_fo_term" expl="VC for subst_free_var_propagation_fo_term_symbol_fo_term">
+ <proof prover="3"><result status="valid" time="0.16" steps="322"/></proof>
+ </goal>
+ <goal name="WP_parameter subst_free_var_propagation_fo_term_fo_term_fo_term" expl="VC for subst_free_var_propagation_fo_term_fo_term_fo_term">
+ <proof prover="3" timelimit="1"><result status="valid" time="0.28" steps="320"/></proof>
+ </goal>
+ <goal name="WP_parameter free_var_equivalence_of_subst_fo_term_list" expl="VC for free_var_equivalence_of_subst_fo_term_list">
+ <proof prover="3" timelimit="1"><result status="valid" time="0.10" steps="388"/></proof>
+ </goal>
+ <goal name="WP_parameter free_var_equivalence_of_subst_fo_term" expl="VC for free_var_equivalence_of_subst_fo_term">
+ <transf name="split_goal_wp">
+ <goal name="WP_parameter free_var_equivalence_of_subst_fo_term.1" expl="1. postcondition">
+ <proof prover="3" timelimit="1"><result status="valid" time="0.04" steps="19"/></proof>
+ </goal>
+ <goal name="WP_parameter free_var_equivalence_of_subst_fo_term.2" expl="2. assertion">
+ <proof prover="3"><result status="valid" time="0.04" steps="9"/></proof>
+ </goal>
+ <goal name="WP_parameter free_var_equivalence_of_subst_fo_term.3" expl="3. precondition">
+ <proof prover="3" timelimit="1"><result status="valid" time="0.25" steps="162"/></proof>
+ </goal>
+ <goal name="WP_parameter free_var_equivalence_of_subst_fo_term.4" expl="4. assertion">
+ <proof prover="3"><result status="valid" time="0.04" steps="9"/></proof>
+ </goal>
+ <goal name="WP_parameter free_var_equivalence_of_subst_fo_term.5" expl="5. assertion">
+ <proof prover="3" timelimit="1"><result status="valid" time="0.04" steps="7"/></proof>
+ </goal>
+ <goal name="WP_parameter free_var_equivalence_of_subst_fo_term.6" expl="6. variant decrease">
+ <proof prover="3" timelimit="1"><result status="valid" time="0.03" steps="10"/></proof>
+ </goal>
+ <goal name="WP_parameter free_var_equivalence_of_subst_fo_term.7" expl="7. precondition">
+ <proof prover="3"><result status="valid" time="0.04" steps="41"/></proof>
+ </goal>
+ <goal name="WP_parameter free_var_equivalence_of_subst_fo_term.8" expl="8. precondition">
+ <proof prover="3"><result status="valid" time="0.04" steps="43"/></proof>
+ </goal>
+ <goal name="WP_parameter free_var_equivalence_of_subst_fo_term.9" expl="9. postcondition">
+ <proof prover="3" timelimit="1"><result status="valid" time="0.03" steps="20"/></proof>
+ </goal>
+ </transf>
+ </goal>
+ <goal name="WP_parameter free_var_equivalence_of_rename_fo_term_list" expl="VC for free_var_equivalence_of_rename_fo_term_list">
+ <proof prover="3" timelimit="1"><result status="valid" time="0.05" steps="231"/></proof>
+ </goal>
+ <goal name="WP_parameter free_var_equivalence_of_rename_fo_term" expl="VC for free_var_equivalence_of_rename_fo_term">
+ <proof prover="3" timelimit="1"><result status="valid" time="0.05" steps="231"/></proof>
+ </goal>
+ <goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_term_list" expl="VC for free_var_derive_equivalence_of_subst_fo_term_list">
+ <transf name="split_goal_wp">
+ <goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_term_list.1" expl="1. postcondition">
+ <proof prover="3"><result status="valid" time="0.06" steps="7"/></proof>
+ </goal>
+ <goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_term_list.2" expl="2. postcondition">
+ <proof prover="3"><result status="valid" time="0.06" steps="7"/></proof>
+ </goal>
+ <goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_term_list.3" expl="3. variant decrease">
+ <proof prover="3"><result status="valid" time="0.06" steps="9"/></proof>
+ </goal>
+ <goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_term_list.4" expl="4. precondition">
+ <proof prover="3"><result status="valid" time="0.28" steps="145"/></proof>
+ </goal>
+ <goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_term_list.5" expl="5. assertion">
+ <proof prover="3"><result status="valid" time="0.10" steps="136"/></proof>
+ </goal>
+ <goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_term_list.6" expl="6. assertion">
+ <proof prover="3"><result status="valid" time="0.09" steps="118"/></proof>
+ </goal>
+ <goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_term_list.7" expl="7. variant decrease">
+ <proof prover="3"><result status="valid" time="0.06" steps="10"/></proof>
+ </goal>
+ <goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_term_list.8" expl="8. precondition">
+ <proof prover="3"><result status="valid" time="0.09" steps="69"/></proof>
+ </goal>
+ <goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_term_list.9" expl="9. assertion">
+ <proof prover="3"><result status="valid" time="0.11" steps="145"/></proof>
+ </goal>
+ <goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_term_list.10" expl="10. assertion">
+ <proof prover="3"><result status="valid" time="0.10" steps="126"/></proof>
+ </goal>
+ <goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_term_list.11" expl="11. postcondition">
+ <proof prover="3"><result status="valid" time="0.06" steps="34"/></proof>
+ </goal>
+ <goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_term_list.12" expl="12. postcondition">
+ <proof prover="3"><result status="valid" time="0.06" steps="34"/></proof>
+ </goal>
+ </transf>
+ </goal>
+ <goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_term" expl="VC for free_var_derive_equivalence_of_subst_fo_term">
+ <transf name="split_goal_wp">
+ <goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_term.1" expl="1. postcondition">
+ <proof prover="3"><result status="valid" time="0.04" steps="7"/></proof>
+ </goal>
+ <goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_term.2" expl="2. postcondition">
+ <proof prover="3"><result status="valid" time="0.05" steps="21"/></proof>
+ </goal>
+ <goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_term.3" expl="3. precondition">
+ <proof prover="3"><result status="valid" time="0.09" steps="62"/></proof>
+ </goal>
+ <goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_term.4" expl="4. assertion">
+ <proof prover="3"><result status="valid" time="0.08" steps="94"/></proof>
+ </goal>
+ <goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_term.5" expl="5. variant decrease">
+ <proof prover="3"><result status="valid" time="0.05" steps="11"/></proof>
+ </goal>
+ <goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_term.6" expl="6. precondition">
+ <proof prover="3"><result status="valid" time="0.11" steps="102"/></proof>
+ </goal>
+ <goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_term.7" expl="7. assertion">
+ <proof prover="3"><result status="valid" time="0.12" steps="163"/></proof>
+ </goal>
+ <goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_term.8" expl="8. assertion">
+ <proof prover="3"><result status="valid" time="0.11" steps="136"/></proof>
+ </goal>
+ <goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_term.9" expl="9. postcondition">
+ <proof prover="3"><result status="valid" time="0.10" steps="63"/></proof>
+ </goal>
+ <goal name="WP_parameter free_var_derive_equivalence_of_subst_fo_term.10" expl="10. postcondition">
+ <proof prover="3"><result status="valid" time="0.06" steps="35"/></proof>
+ </goal>
+ </transf>
+ </goal>
+ <goal name="WP_parameter free_var_derive_equivalence_of_rename_fo_term_list" expl="VC for free_var_derive_equivalence_of_rename_fo_term_list">
+ <transf name="split_goal_wp">
+ <goal name="WP_parameter free_var_derive_equivalence_of_rename_fo_term_list.1" expl="1. precondition">
+ <proof prover="3"><result status="valid" time="0.04" steps="7"/></proof>
+ </goal>
+ <goal name="WP_parameter free_var_derive_equivalence_of_rename_fo_term_list.2" expl="2. assertion">
+ <proof prover="3"><result status="valid" time="0.05" steps="25"/></proof>
+ </goal>
+ <goal name="WP_parameter free_var_derive_equivalence_of_rename_fo_term_list.3" expl="3. assertion">
+ <proof prover="3"><result status="valid" time="0.06" steps="45"/></proof>
+ </goal>
+ <goal name="WP_parameter free_var_derive_equivalence_of_rename_fo_term_list.4" expl="4. postcondition">
+ <proof prover="1"><result status="valid" time="0.35"/></proof>
+ <proof prover="4"><result status="valid" time="0.74"/></proof>
+ </goal>
+ <goal name="WP_parameter free_var_derive_equivalence_of_rename_fo_term_list.5" expl="5. postcondition">
+ <proof prover="4"><result status="valid" time="0.73"/></proof>
+ </goal>
+ </transf>
+ </goal>
+ <goal name="WP_parameter free_var_derive_equivalence_of_rename_fo_term" expl="VC for free_var_derive_equivalence_of_rename_fo_term">
+ <transf name="split_goal_wp">
+ <goal name="WP_parameter free_var_derive_equivalence_of_rename_fo_term.1" expl="1. precondition">
+ <proof prover="3"><result status="valid" time="0.05" steps="7"/></proof>
+ </goal>
+ <goal name="WP_parameter free_var_derive_equivalence_of_rename_fo_term.2" expl="2. assertion">
+ <proof prover="3"><result status="valid" time="0.05" steps="25"/></proof>
+ </goal>
+ <goal name="WP_parameter free_var_derive_equivalence_of_rename_fo_term.3" expl="3. assertion">
+ <proof prover="3"><result status="valid" time="0.07" steps="45"/></proof>
+ </goal>
+ <goal name="WP_parameter free_var_derive_equivalence_of_rename_fo_term.4" expl="4. postcondition">
+ <proof prover="4"><result status="valid" time="0.78"/></proof>
+ </goal>
+ <goal name="WP_parameter free_var_derive_equivalence_of_rename_fo_term.5" expl="5. postcondition">
+ <proof prover="4"><result status="valid" time="0.90"/></proof>
+ </goal>
+ </transf>
+ </goal>
+</theory>
+</file>
</why3session>
diff --git a/examples/in_progress/prover/Firstorder_term_spec/why3shapes.gz b/examples/in_progress/prover/Firstorder_term_spec/why3shapes.gz
new file mode 100644
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literal 0
HcmV?d00001
diff --git a/examples/in_progress/prover/Functions/why3session.xml b/examples/in_progress/prover/Functions/why3session.xml
index c1eb4774fb..6a7513c32a 100644
--- a/examples/in_progress/prover/Functions/why3session.xml
+++ b/examples/in_progress/prover/Functions/why3session.xml
@@ -1,142 +1,28 @@
<?xml version="1.0" encoding="UTF-8"?>
-<!DOCTYPE why3session PUBLIC "-//Why3//proof session v2//EN" "http://why3.lri.fr/why3session.dtd">
-<why3session shape_version="3">
- <prover
- id="0"
- name="Alt-Ergo"
- version="0.95.1"/>
- <file
- name="../Functions.mlw"
- verified="true"
- expanded="false">
- <theory
- name="Func"
- locfile="../Functions.mlw"
- loclnum="2" loccnumb="7" loccnume="11"
- verified="true"
- expanded="false">
- <goal
- name="update_eq"
- locfile="../Functions.mlw"
- loclnum="24" loccnumb="8" loccnume="17"
- sum="f4c64226c9945e7b39a7b52b0c803754"
- proved="true"
- expanded="false"
- shape="ainfix =ainfix @!aupdateV0V1V2V1V2F">
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.01"/>
- </proof>
- </goal>
- <goal
- name="update_neq"
- locfile="../Functions.mlw"
- loclnum="26" loccnumb="8" loccnume="18"
- sum="f8f3f958d4cf31e78e09152722d10e81"
- proved="true"
- expanded="false"
- shape="ainfix =ainfix @!aupdateV0V1V2V3ainfix @!V0V3INainfix =V1V3F">
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.02"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter compose_associative"
- locfile="../Functions.mlw"
- loclnum="42" loccnumb="12" loccnume="31"
- expl="VC for compose_associative"
- sum="0d9e14b7aa4e9978fc7dd410fbed7641"
- proved="true"
- expanded="false"
- shape="ainfix =acomposeacomposeV0V1V2acomposeV0acomposeV1V2AaextensionalEqualacomposeacomposeV0V1V2acomposeV0acomposeV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for compose_associative"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.02"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter identity_neutral"
- locfile="../Functions.mlw"
- loclnum="47" loccnumb="12" loccnume="28"
- expl="VC for identity_neutral"
- sum="a6e7288adc844f4d246c94f10cbdd52f"
- proved="true"
- expanded="false"
- shape="ainfix =acomposeaidentityV0V0Aainfix =acomposeV0aidentityV0AaextensionalEqualacomposeaidentityV0V0AaextensionalEqualacomposeV0aidentityV0F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for identity_neutral"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.02"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter const_compose_left"
- locfile="../Functions.mlw"
- loclnum="60" loccnumb="12" loccnume="30"
- expl="VC for const_compose_left"
- sum="2410904cc0cdd8ca053dd2216ac25858"
- proved="true"
- expanded="false"
- shape="ainfix =acomposeaconstV1V0aconstV1AaextensionalEqualaconstV1acomposeaconstV1V0F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for const_compose_left"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.02"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter const_compose_right"
- locfile="../Functions.mlw"
- loclnum="65" loccnumb="12" loccnume="31"
- expl="VC for const_compose_right"
- sum="3fa7a2d30933c0ee2436e129d9d7493f"
- proved="true"
- expanded="false"
- shape="ainfix =acomposeV0aconstV1aconstainfix @!V0V1AaextensionalEqualaconstainfix @!V0V1acomposeV0aconstV1F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for const_compose_right"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.01"/>
- </proof>
- </goal>
- </theory>
- </file>
+<!DOCTYPE why3session PUBLIC "-//Why3//proof session v5//EN"
+"http://why3.lri.fr/why3session.dtd">
+<why3session shape_version="4">
+<prover id="1" name="Alt-Ergo" version="0.99.1" timelimit="5" memlimit="1000"/>
+<file name="../Functions.mlw" expanded="true">
+<theory name="Func" sum="91c29f6d1ccbb18c7b87b2cd3454d039" expanded="true">
+ <goal name="update_eq">
+ <proof prover="1"><result status="valid" time="0.01" steps="1"/></proof>
+ </goal>
+ <goal name="update_neq">
+ <proof prover="1"><result status="valid" time="0.02" steps="3"/></proof>
+ </goal>
+ <goal name="WP_parameter compose_associative" expl="VC for compose_associative">
+ <proof prover="1"><result status="valid" time="0.02" steps="8"/></proof>
+ </goal>
+ <goal name="WP_parameter identity_neutral" expl="VC for identity_neutral">
+ <proof prover="1"><result status="valid" time="0.02" steps="38"/></proof>
+ </goal>
+ <goal name="WP_parameter const_compose_left" expl="VC for const_compose_left">
+ <proof prover="1"><result status="valid" time="0.02" steps="7"/></proof>
+ </goal>
+ <goal name="WP_parameter const_compose_right" expl="VC for const_compose_right">
+ <proof prover="1"><result status="valid" time="0.01" steps="7"/></proof>
+ </goal>
+</theory>
+</file>
</why3session>
diff --git a/examples/in_progress/prover/Functions/why3shapes.gz b/examples/in_progress/prover/Functions/why3shapes.gz
new file mode 100644
index 0000000000000000000000000000000000000000..fe26b2ce42ca5eefae4dd5c532e6bbb32442aded
GIT binary patch
literal 347
zcmb2|=3oGW|5Jlb`yDnA*z;Wb6K9=0pGQcCM~ua@sI_lnJ3=O1+Ogt~ZJSxG_>qHg
zw~cojOU=|yo=~yD&NID5d9G7Wj9a7`<GQwW%kzTozkOx9W;&<Qwlz=J{)qEcRaVJe
zWNuTK*jRjcYU-`Yj0YVK%NsxW67%lU%St72AG6RU6AnZ=POR|?T*xP(E5LaDOlA0X
zepBAnR($!V6OUN-JQlD%ahLsFX!(th?VH+f{|kvrZ<yWl_Xe-6j@<q08-Dng2WzJF
zu(TYgco`rTz``l!Sl}M?`efep4d-M3&H29L-0DR|?@E<KEX}OlyI(Q>Kl<tAgy=1k
zGku@V>^@_dD#{|7+$leE`?1P?72XZbkN(bh9{i4bNsa0UC(VN!UY1-v!e4ara>yNH
zMP~KYN}NV^j+@MOs8n*a_{EiPdKDL^zeYwU=k>+uyE9+SD7IX_av#II8=H<;Gczy%
E0LOEo_y7O^
literal 0
HcmV?d00001
diff --git a/examples/in_progress/prover/Makefile b/examples/in_progress/prover/Makefile
index 486a63ba4d..20b99e1d3a 100644
--- a/examples/in_progress/prover/Makefile
+++ b/examples/in_progress/prover/Makefile
@@ -73,7 +73,7 @@ replay:
@printf "Starting time (UTC): "
@date --utc +%H:%M
@printf "===================================\n"
- @for i in $(MLWUTIL) $(MLWIMPL); do \
+ @for i in *.mlw; do \
printf "Replaying $$i..." ; \
why3 $(WHY3FLAGS) replay -q $$i ; \
done
diff --git a/examples/in_progress/prover/OptionFuncs/why3session.xml b/examples/in_progress/prover/OptionFuncs/why3session.xml
index e4e0d5afb6..f205a71e4f 100644
--- a/examples/in_progress/prover/OptionFuncs/why3session.xml
+++ b/examples/in_progress/prover/OptionFuncs/why3session.xml
@@ -1,249 +1,46 @@
<?xml version="1.0" encoding="UTF-8"?>
-<!DOCTYPE why3session PUBLIC "-//Why3//proof session v2//EN" "http://why3.lri.fr/why3session.dtd">
-<why3session shape_version="3">
- <prover
- id="0"
- name="Alt-Ergo"
- version="0.95.1"/>
- <file
- name="../OptionFuncs.mlw"
- verified="true"
- expanded="false">
- <theory
- name="Funcs"
- locfile="../OptionFuncs.mlw"
- loclnum="2" loccnumb="7" loccnume="12"
- verified="true"
- expanded="false">
- <goal
- name="ocase_some"
- locfile="../OptionFuncs.mlw"
- loclnum="19" loccnumb="8" loccnume="18"
- sum="fdf4cd7bb2de95e150365e53a910c0d9"
- proved="true"
- expanded="false"
- shape="ainfix =ainfix @!aocaseV0V1aSomeV2ainfix @!V0V2F">
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.01"/>
- </proof>
- </goal>
- <goal
- name="ocase_none"
- locfile="../OptionFuncs.mlw"
- loclnum="21" loccnumb="8" loccnume="18"
- sum="f733208f4e4380521a1545ff11d657f0"
- proved="true"
- expanded="false"
- shape="ainfix =ainfix @!aocaseV0V1aNoneV1F">
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.01"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter compose_ocase_some"
- locfile="../OptionFuncs.mlw"
- loclnum="23" loccnumb="12" loccnume="30"
- expl="VC for compose_ocase_some"
- sum="762ee7daaaeb32217a7bea6625d2cc45"
- proved="true"
- expanded="false"
- shape="ainfix =arcomposeasomeaocaseV0V1V0AaextensionalEqualarcomposeasomeaocaseV0V1V0F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for compose_ocase_some"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.01"/>
- </proof>
- </goal>
- <goal
- name="olift_def"
- locfile="../OptionFuncs.mlw"
- loclnum="33" loccnumb="8" loccnume="17"
- sum="9e8fdf54a3a221e10ec0a9ac69613e78"
- proved="true"
- expanded="false"
- shape="ainfix =ainfix @!aoliftV0V1aomapV0V1F">
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.02"/>
- </proof>
- </goal>
- <goal
- name="olift_none"
- locfile="../OptionFuncs.mlw"
- loclnum="35" loccnumb="8" loccnume="18"
- sum="dd803e1932e257acb27b97fc8e7e4f60"
- proved="true"
- expanded="false"
- shape="ainfix =ainfix @!aoliftV0aNoneaNoneF">
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.01"/>
- </proof>
- </goal>
- <goal
- name="olift_some"
- locfile="../OptionFuncs.mlw"
- loclnum="36" loccnumb="8" loccnume="18"
- sum="0c6ceaec8c62d39a245e8f8baf4358a1"
- proved="true"
- expanded="false"
- shape="ainfix =ainfix @!aoliftV0aSomeV1aSomeainfix @!V0V1F">
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.01"/>
- </proof>
- </goal>
- <goal
- name="olift_none_inversion"
- locfile="../OptionFuncs.mlw"
- loclnum="37" loccnumb="8" loccnume="28"
- sum="d9949d69d266911a74d46eaeee0e9714"
- proved="true"
- expanded="false"
- shape="ainfix =V1aNoneqainfix =ainfix @!aoliftV0V1aNoneF">
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.02"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter olift_some_inversion"
- locfile="../OptionFuncs.mlw"
- loclnum="38" loccnumb="12" loccnume="32"
- expl="VC for olift_some_inversion"
- sum="dc22f54225f3bdc64da631b1b312ce4a"
- proved="true"
- expanded="false"
- shape="CCfaNoneainfix =ainfix @!V0V3V2aSomeVV1qainfix =ainfix @!aoliftV0V1aSomeV2aNoneCfaNoneainfix =ainfix @!V0V5V2aSomeVV1qainfix =ainfix @!aoliftV0V1aSomeV2aSomeVV1F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for olift_some_inversion"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.02"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter olift_identity"
- locfile="../OptionFuncs.mlw"
- loclnum="47" loccnumb="12" loccnume="26"
- expl="VC for olift_identity"
- sum="4e1777e084c891eb03723e1c6cc57110"
- proved="true"
- expanded="false"
- shape="ainfix =aoliftaidentityaidentityAaextensionalEqualaoliftaidentityaidentity">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for olift_identity"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.02"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter olift_composition"
- locfile="../OptionFuncs.mlw"
- loclnum="52" loccnumb="12" loccnume="29"
- expl="VC for olift_composition"
- sum="14d9130b0f0fccf4e43b9dac06495b13"
- proved="true"
- expanded="false"
- shape="ainfix =acomposeaoliftV0aoliftV1aoliftacomposeV0V1AaextensionalEqualacomposeaoliftV0aoliftV1aoliftacomposeV0V1F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for olift_composition"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.04"/>
- </proof>
- </goal>
- <goal
- name="olift_some_commutation"
- locfile="../OptionFuncs.mlw"
- loclnum="57" loccnumb="8" loccnume="30"
- sum="b645fe3a9ae79924d94abba815db1016"
- proved="true"
- expanded="false"
- shape="ainfix =acomposeasomeV0acomposeaoliftV0asomeF">
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.02"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter olift_update"
- locfile="../OptionFuncs.mlw"
- loclnum="60" loccnumb="12" loccnume="24"
- expl="VC for olift_update"
- sum="76dc33a7ebb3190ad2a7949440fec1dd"
- proved="true"
- expanded="false"
- shape="ainfix =aoliftamixfix [<-]V0V1V2aupdateaoliftV0aSomeV1aSomeV2AaextensionalEqualaoliftamixfix [<-]V0V1V2aupdateaoliftV0aSomeV1aSomeV2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for olift_update"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.21"/>
- </proof>
- </goal>
- </theory>
- </file>
+<!DOCTYPE why3session PUBLIC "-//Why3//proof session v5//EN"
+"http://why3.lri.fr/why3session.dtd">
+<why3session shape_version="4">
+<prover id="1" name="Alt-Ergo" version="0.99.1" timelimit="5" memlimit="1000"/>
+<file name="../OptionFuncs.mlw" expanded="true">
+<theory name="Funcs" sum="ad1de2222a12642f93f29217a94a1509" expanded="true">
+ <goal name="ocase_some">
+ <proof prover="1"><result status="valid" time="0.01" steps="6"/></proof>
+ </goal>
+ <goal name="ocase_none">
+ <proof prover="1"><result status="valid" time="0.01" steps="3"/></proof>
+ </goal>
+ <goal name="WP_parameter compose_ocase_some" expl="VC for compose_ocase_some">
+ <proof prover="1"><result status="valid" time="0.01" steps="13"/></proof>
+ </goal>
+ <goal name="olift_def">
+ <proof prover="1"><result status="valid" time="0.02" steps="23"/></proof>
+ </goal>
+ <goal name="olift_none">
+ <proof prover="1"><result status="valid" time="0.01" steps="7"/></proof>
+ </goal>
+ <goal name="olift_some">
+ <proof prover="1"><result status="valid" time="0.01" steps="17"/></proof>
+ </goal>
+ <goal name="olift_none_inversion">
+ <proof prover="1"><result status="valid" time="0.02" steps="25"/></proof>
+ </goal>
+ <goal name="WP_parameter olift_some_inversion" expl="VC for olift_some_inversion">
+ <proof prover="1"><result status="valid" time="0.02" steps="60"/></proof>
+ </goal>
+ <goal name="WP_parameter olift_identity" expl="VC for olift_identity">
+ <proof prover="1"><result status="valid" time="0.02" steps="43"/></proof>
+ </goal>
+ <goal name="WP_parameter olift_composition" expl="VC for olift_composition">
+ <proof prover="1"><result status="valid" time="0.04" steps="104"/></proof>
+ </goal>
+ <goal name="olift_some_commutation">
+ <proof prover="1"><result status="valid" time="0.02" steps="4"/></proof>
+ </goal>
+ <goal name="WP_parameter olift_update" expl="VC for olift_update">
+ <proof prover="1"><result status="valid" time="0.21" steps="241"/></proof>
+ </goal>
+</theory>
+</file>
</why3session>
diff --git a/examples/in_progress/prover/OptionFuncs/why3shapes.gz b/examples/in_progress/prover/OptionFuncs/why3shapes.gz
new file mode 100644
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GIT binary patch
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diff --git a/examples/in_progress/prover/Predicates/why3session.xml b/examples/in_progress/prover/Predicates/why3session.xml
index 3f7481a006..035bac10f6 100644
--- a/examples/in_progress/prover/Predicates/why3session.xml
+++ b/examples/in_progress/prover/Predicates/why3session.xml
@@ -1,98 +1,22 @@
<?xml version="1.0" encoding="UTF-8"?>
-<!DOCTYPE why3session PUBLIC "-//Why3//proof session v2//EN" "http://why3.lri.fr/why3session.dtd">
-<why3session shape_version="3">
- <prover
- id="0"
- name="Alt-Ergo"
- version="0.95.1"/>
- <file
- name="../Predicates.mlw"
- verified="true"
- expanded="true">
- <theory
- name="Pred"
- locfile="../Predicates.mlw"
- loclnum="2" loccnumb="7" loccnume="11"
- verified="true"
- expanded="true">
- <goal
- name="pupdate_eq"
- locfile="../Predicates.mlw"
- loclnum="28" loccnumb="8" loccnume="18"
- sum="4fbbad823c921a0976d31b533f332113"
- proved="true"
- expanded="false"
- shape="ainfix =V2aTrueqainfix @?apupdateV0V1V2V1F">
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.01"/>
- </proof>
- </goal>
- <goal
- name="pupdate_neq"
- locfile="../Predicates.mlw"
- loclnum="30" loccnumb="8" loccnume="19"
- sum="85d3eeb4bdc34b8071e51cc31b968be0"
- proved="true"
- expanded="false"
- shape="ainfix @?V0V3qainfix @?apupdateV0V1V2V3INainfix =V1V3F">
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.01"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter pcompose_associative"
- locfile="../Predicates.mlw"
- loclnum="40" loccnumb="12" loccnume="32"
- expl="VC for pcompose_associative"
- sum="11d7f37592465e0f487bcf78f6d86262"
- proved="true"
- expanded="false"
- shape="ainfix =apcomposeapcomposeV0V1V2apcomposeV0acomposeV1V2AapredExtensionalEqualapcomposeapcomposeV0V1V2apcomposeV0acomposeV1V2F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for pcompose_associative"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.02"/>
- </proof>
- </goal>
- <goal
- name="WP_parameter identity_neutral"
- locfile="../Predicates.mlw"
- loclnum="45" loccnumb="12" loccnume="28"
- expl="VC for identity_neutral"
- sum="e8d1199b71be08cd108921b5205c4783"
- proved="true"
- expanded="false"
- shape="ainfix =apcomposeV0aidentityV0AapredExtensionalEqualapcomposeV0aidentityV0F">
- <label
- name="why3:lemma"/>
- <label
- name="expl:VC for identity_neutral"/>
- <proof
- prover="0"
- timelimit="5"
- memlimit="1000"
- obsolete="false"
- archived="false">
- <result status="valid" time="0.00"/>
- </proof>
- </goal>
- </theory>
- </file>
+<!DOCTYPE why3session PUBLIC "-//Why3//proof session v5//EN"
+"http://why3.lri.fr/why3session.dtd">
+<why3session shape_version="4">
+<prover id="1" name="Alt-Ergo" version="0.99.1" timelimit="5" memlimit="1000"/>
+<file name="../Predicates.mlw" expanded="true">
+<theory name="Pred" sum="ac803a6d54d377b1900e06a191a70737" expanded="true">
+ <goal name="pupdate_eq">
+ <proof prover="1"><result status="valid" time="0.01" steps="5"/></proof>
+ </goal>
+ <goal name="pupdate_neq">
+ <proof prover="1"><result status="valid" time="0.01" steps="5"/></proof>
+ </goal>
+ <goal name="WP_parameter pcompose_associative" expl="VC for pcompose_associative">
+ <proof prover="1"><result status="valid" time="0.02" steps="16"/></proof>
+ </goal>
+ <goal name="WP_parameter identity_neutral" expl="VC for identity_neutral">
+ <proof prover="1"><result status="valid" time="0.00" steps="12"/></proof>
+ </goal>
+</theory>
+</file>
</why3session>
diff --git a/examples/in_progress/prover/Predicates/why3shapes.gz b/examples/in_progress/prover/Predicates/why3shapes.gz
new file mode 100644
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GIT binary patch
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diff --git a/examples/in_progress/prover/Sum/why3session.xml b/examples/in_progress/prover/Sum/why3session.xml
index 1bfbcf514f..2059b3ac9a 100644
--- a/examples/in_progress/prover/Sum/why3session.xml
+++ b/examples/in_progress/prover/Sum/why3session.xml
@@ -1,16 +1,9 @@
<?xml version="1.0" encoding="UTF-8"?>
-<!DOCTYPE why3session PUBLIC "-//Why3//proof session v2//EN" "http://why3.lri.fr/why3session.dtd">
-<why3session shape_version="3">
- <file
- name="../Sum.mlw"
- verified="true"
- expanded="true">
- <theory
- name="Sum"
- locfile="../Sum.mlw"
- loclnum="2" loccnumb="7" loccnume="10"
- verified="true"
- expanded="true">
- </theory>
- </file>
+<!DOCTYPE why3session PUBLIC "-//Why3//proof session v5//EN"
+"http://why3.lri.fr/why3session.dtd">
+<why3session shape_version="4">
+<file name="../Sum.mlw" expanded="true">
+<theory name="Sum" sum="d41d8cd98f00b204e9800998ecf8427e">
+</theory>
+</file>
</why3session>
diff --git a/examples/in_progress/prover/Sum/why3shapes.gz b/examples/in_progress/prover/Sum/why3shapes.gz
new file mode 100644
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--
GitLab