updated proof sesssions

parent 1c165271
......@@ -4,8 +4,6 @@ bag.mlw
balance.mlw
bellman_ford.mlw
bignum.mlw
binary_sort.mlw
binary_sqrt.mlw
bitcount.mlw
bitvector_examples.mlw
bitwalker.mlw
......@@ -65,15 +63,11 @@ quicksort.mlw
random_access_list.mlw
register_allocation.mlw
relabel.mlw
remove_duplicate_hash.mlw
remove_duplicate.mlw
residual.mlw
rightmostbittrick.mlw
same_fringe.mlw
schorr_waite.mlw
schorr_waite_via_recursion.mlw
selection_sort.mlw
sf.mlw
sieve.mlw
skew_heaps.mlw
snapshotable_trees.mlw
......@@ -105,6 +99,4 @@ vstte12_bfs.mlw
vstte12_combinators.mlw
vstte12_ring_buffer.mlw
vstte12_tree_reconstruction.mlw
vstte12_two_way_sort.mlw
warshall_algorithm.mlw
white_and_black_balls.mlw
......@@ -40,7 +40,7 @@ module BinarySort
ensures { permut_sub (old a) a 0 (length a) }
=
label Init in
for k = 1 to length a - 1 do
"vc:liberal_for" for k = 1 to length a - 1 do
(* a[0..k-1) is sorted; insert a[k] *)
invariant { forall i j. 0 <= i <= j < k -> a[i] <= a[j] }
invariant { permut_sub (a at Init) a 0 (length a) }
......
This diff is collapsed.
......@@ -41,7 +41,6 @@
<proof prover="1"><result status="valid" time="0.00" steps="10"/></proof>
</goal>
<goal name="VC sqrt.10.2" expl="2. VC for sqrt">
<proof prover="1"><undone/></proof>
<proof prover="3"><result status="valid" time="0.01"/></proof>
</goal>
</transf>
......
This diff is collapsed.
......@@ -2,89 +2,64 @@
<!DOCTYPE why3session PUBLIC "-//Why3//proof session v5//EN"
"http://why3.lri.fr/why3session.dtd">
<why3session shape_version="4">
<prover id="0" name="CVC3" version="2.4.1" timelimit="10" steplimit="0" memlimit="0"/>
<prover id="3" name="Alt-Ergo" version="0.99.1" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="1" name="Alt-Ergo" version="1.30" timelimit="5" steplimit="0" memlimit="1000"/>
<file name="../same_fringe.mlw" expanded="true">
<theory name="SameFringe" sum="7aba67478ad55ab5a65bef38c5e411fd" expanded="true">
<goal name="WP_parameter enum" expl="VC for enum">
<transf name="split_goal_wp">
<goal name="WP_parameter enum.1" expl="1. postcondition">
<proof prover="3" timelimit="10" memlimit="0"><result status="valid" time="0.01" steps="7"/></proof>
</goal>
<goal name="WP_parameter enum.2" expl="2. variant decrease">
<proof prover="3" timelimit="10" memlimit="0"><result status="valid" time="0.02" steps="20"/></proof>
</goal>
<goal name="WP_parameter enum.3" expl="3. postcondition">
<proof prover="3" timelimit="10" memlimit="0"><result status="valid" time="0.05" steps="40"/></proof>
</goal>
</transf>
</goal>
<goal name="WP_parameter eq_enum" expl="VC for eq_enum">
<transf name="split_goal_wp">
<goal name="WP_parameter eq_enum.1" expl="1. postcondition">
<proof prover="0"><result status="valid" time="0.02"/></proof>
<proof prover="3" timelimit="10" memlimit="0"><result status="valid" time="0.02" steps="6"/></proof>
</goal>
<goal name="WP_parameter eq_enum.2" expl="2. postcondition">
<proof prover="3" timelimit="10" memlimit="0"><result status="valid" time="0.02" steps="19"/></proof>
</goal>
<goal name="WP_parameter eq_enum.3" expl="3. variant decrease">
<proof prover="3" timelimit="10"><result status="valid" time="0.00" steps="23"/></proof>
</goal>
<goal name="WP_parameter eq_enum.4" expl="4. postcondition">
<proof prover="3" timelimit="10" memlimit="0"><result status="valid" time="0.02" steps="22"/></proof>
</goal>
<goal name="WP_parameter eq_enum.5" expl="5. postcondition">
<proof prover="3" timelimit="10" memlimit="0"><result status="valid" time="0.02" steps="20"/></proof>
</goal>
<goal name="WP_parameter eq_enum.6" expl="6. postcondition">
<proof prover="3" timelimit="10" memlimit="0"><result status="valid" time="0.02" steps="19"/></proof>
</goal>
</transf>
</goal>
<goal name="WP_parameter same_fringe" expl="VC for same_fringe">
<proof prover="3" timelimit="10" memlimit="0"><result status="valid" time="0.02" steps="14"/></proof>
</goal>
<goal name="WP_parameter test1" expl="VC for test1">
<proof prover="3"><result status="valid" time="0.01" steps="4"/></proof>
</goal>
<goal name="WP_parameter test2" expl="VC for test2">
<proof prover="3"><result status="valid" time="0.02" steps="4"/></proof>
</goal>
<goal name="WP_parameter test3" expl="VC for test3">
<proof prover="3"><result status="valid" time="0.01" steps="4"/></proof>
</goal>
<goal name="WP_parameter leaf" expl="VC for leaf">
<proof prover="3"><result status="valid" time="0.01" steps="4"/></proof>
</goal>
<goal name="WP_parameter test4" expl="VC for test4">
<proof prover="3"><result status="valid" time="0.02" steps="4"/></proof>
</goal>
<goal name="WP_parameter test5" expl="VC for test5">
<proof prover="3"><result status="valid" time="0.01" steps="4"/></proof>
</goal>
<goal name="WP_parameter bench" expl="VC for bench">
<proof prover="3" memlimit="4000"><result status="valid" time="0.02" steps="4"/></proof>
<theory name="SameFringe" sum="86c52ef99c3d05423d13d5b538e94004" expanded="true">
<goal name="VC enum" expl="VC for enum" expanded="true">
<proof prover="1"><result status="valid" time="0.01" steps="70"/></proof>
</goal>
<goal name="VC eq_enum" expl="VC for eq_enum" expanded="true">
<proof prover="1"><result status="valid" time="0.02" steps="164"/></proof>
</goal>
<goal name="VC same_fringe" expl="VC for same_fringe" expanded="true">
<proof prover="1"><result status="valid" time="0.01" steps="15"/></proof>
</goal>
<goal name="VC test1" expl="VC for test1" expanded="true">
<proof prover="1"><result status="valid" time="0.00" steps="5"/></proof>
</goal>
<goal name="VC test2" expl="VC for test2" expanded="true">
<proof prover="1"><result status="valid" time="0.00" steps="5"/></proof>
</goal>
<goal name="VC test3" expl="VC for test3" expanded="true">
<proof prover="1"><result status="valid" time="0.00" steps="5"/></proof>
</goal>
<goal name="VC a" expl="VC for a" expanded="true">
<proof prover="1"><result status="valid" time="0.00" steps="5"/></proof>
</goal>
<goal name="VC b" expl="VC for b" expanded="true">
<proof prover="1"><result status="valid" time="0.00" steps="5"/></proof>
</goal>
<goal name="VC leaf" expl="VC for leaf" expanded="true">
<proof prover="1"><result status="valid" time="0.00" steps="5"/></proof>
</goal>
<goal name="VC test4" expl="VC for test4" expanded="true">
<proof prover="1"><result status="valid" time="0.00" steps="5"/></proof>
</goal>
<goal name="VC test5" expl="VC for test5" expanded="true">
<proof prover="1"><result status="valid" time="0.00" steps="5"/></proof>
</goal>
<goal name="VC bench" expl="VC for bench" expanded="true">
<proof prover="1"><result status="valid" time="0.00" steps="5"/></proof>
</goal>
</theory>
<theory name="Test" sum="fb32280419454357f1773e7d0ede665e" expanded="true">
<goal name="WP_parameter test1" expl="VC for test1">
<proof prover="3"><result status="valid" time="0.02" steps="4"/></proof>
<theory name="Test" sum="c4c21529d58f4569ca3f0326375f8803" expanded="true">
<goal name="VC test1" expl="VC for test1" expanded="true">
<proof prover="1"><result status="valid" time="0.00" steps="5"/></proof>
</goal>
<goal name="WP_parameter test2" expl="VC for test2">
<proof prover="3"><result status="valid" time="0.02" steps="4"/></proof>
<goal name="VC test2" expl="VC for test2" expanded="true">
<proof prover="1"><result status="valid" time="0.00" steps="5"/></proof>
</goal>
<goal name="WP_parameter test3" expl="VC for test3">
<proof prover="3"><result status="valid" time="0.02" steps="4"/></proof>
<goal name="VC test3" expl="VC for test3" expanded="true">
<proof prover="1"><result status="valid" time="0.00" steps="5"/></proof>
</goal>
<goal name="WP_parameter leaf" expl="VC for leaf">
<proof prover="3"><result status="valid" time="0.01" steps="4"/></proof>
<goal name="VC leaf" expl="VC for leaf" expanded="true">
<proof prover="1"><result status="valid" time="0.00" steps="5"/></proof>
</goal>
<goal name="WP_parameter test4" expl="VC for test4">
<proof prover="3"><result status="valid" time="0.02" steps="4"/></proof>
<goal name="VC test4" expl="VC for test4" expanded="true">
<proof prover="1"><result status="valid" time="0.00" steps="5"/></proof>
</goal>
<goal name="WP_parameter test5" expl="VC for test5">
<proof prover="3"><result status="valid" time="0.01" steps="4"/></proof>
<goal name="VC test5" expl="VC for test5" expanded="true">
<proof prover="1"><result status="valid" time="0.00" steps="5"/></proof>
</goal>
</theory>
</file>
......
......@@ -2,115 +2,60 @@
<!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="10" steplimit="0" memlimit="0"/>
<prover id="0" name="Alt-Ergo" version="1.30" timelimit="10" steplimit="0" memlimit="1000"/>
<prover id="4" name="CVC4" version="1.4" timelimit="6" steplimit="0" memlimit="1000"/>
<prover id="5" name="Z3" version="4.3.1" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="6" name="Z3" version="3.2" timelimit="5" steplimit="0" memlimit="1000"/>
<prover id="7" name="Alt-Ergo" version="0.95.2" timelimit="6" steplimit="0" memlimit="1000"/>
<prover id="8" name="Alt-Ergo" version="0.99.1" timelimit="10" steplimit="0" memlimit="0"/>
<prover id="9" name="Z3" version="4.3.2" timelimit="10" steplimit="0" memlimit="0"/>
<file name="../sf.mlw" expanded="true">
<theory name="HoareLogic" sum="2311f37221ece2f7363673a13684dcc5" expanded="true">
<goal name="WP_parameter slow_subtraction" expl="VC for slow_subtraction" expanded="true">
<proof prover="8"><result status="valid" time="0.00" steps="7"/></proof>
<theory name="HoareLogic" sum="5e8a370daefd0a3c1db008def8d9f816" expanded="true">
<goal name="VC slow_subtraction" expl="VC for slow_subtraction" expanded="true">
<proof prover="0"><result status="valid" time="0.00" steps="7"/></proof>
</goal>
<goal name="WP_parameter reduce_to_zero" expl="VC for reduce_to_zero" expanded="true">
<proof prover="8"><result status="valid" time="0.00" steps="4"/></proof>
<goal name="VC reduce_to_zero" expl="VC for reduce_to_zero" expanded="true">
<proof prover="0"><result status="valid" time="0.00" steps="5"/></proof>
</goal>
<goal name="WP_parameter slow_addition" expl="VC for slow_addition" expanded="true">
<proof prover="8"><result status="valid" time="0.01" steps="7"/></proof>
<goal name="VC slow_addition" expl="VC for slow_addition" expanded="true">
<proof prover="0"><result status="valid" time="0.00" steps="7"/></proof>
</goal>
<goal name="even_noneg">
<transf name="induction_pr">
<goal name="even_noneg.1" expl="1.">
<proof prover="7"><result status="valid" time="0.00" steps="2"/></proof>
<proof prover="0"><result status="valid" time="0.00" steps="3"/></proof>
<proof prover="7" obsolete="true"><result status="valid" time="0.00" steps="2"/></proof>
</goal>
<goal name="even_noneg.2" expl="2.">
<proof prover="4"><result status="valid" time="0.00"/></proof>
<proof prover="0"><result status="valid" time="0.00" steps="5"/></proof>
<proof prover="4" obsolete="true"><result status="valid" time="0.00"/></proof>
</goal>
</transf>
</goal>
<goal name="even_not_odd">
<transf name="induction_pr">
<goal name="even_not_odd.1" expl="1.">
<proof prover="7"><result status="valid" time="0.01" steps="6"/></proof>
<proof prover="0"><result status="valid" time="0.00" steps="7"/></proof>
<proof prover="7" obsolete="true"><result status="valid" time="0.01" steps="6"/></proof>
</goal>
<goal name="even_not_odd.2" expl="2.">
<proof prover="4"><result status="valid" time="0.00"/></proof>
<proof prover="0"><result status="valid" time="0.00" steps="13"/></proof>
<proof prover="4" obsolete="true"><result status="valid" time="0.00"/></proof>
</goal>
</transf>
</goal>
<goal name="WP_parameter parity" expl="VC for parity" expanded="true">
<proof prover="8"><result status="valid" time="0.07" steps="32"/></proof>
<goal name="VC parity" expl="VC for parity" expanded="true">
<proof prover="0"><result status="valid" time="0.01" steps="59"/></proof>
</goal>
<goal name="WP_parameter sqrt" expl="VC for sqrt" expanded="true">
<proof prover="5"><result status="valid" time="0.02"/></proof>
<proof prover="6"><result status="valid" time="0.00"/></proof>
<proof prover="8" timelimit="5" memlimit="1000"><result status="valid" time="0.02" steps="10"/></proof>
<proof prover="9"><result status="valid" time="0.01"/></proof>
<goal name="VC sqrt" expl="VC for sqrt" expanded="true">
<proof prover="0"><result status="valid" time="0.00" steps="11"/></proof>
</goal>
<goal name="WP_parameter factorial" expl="VC for factorial">
<proof prover="8"><result status="valid" time="0.01" steps="19"/></proof>
<goal name="VC factorial" expl="VC for factorial" expanded="true">
<proof prover="0"><result status="valid" time="0.01" steps="29"/></proof>
</goal>
</theory>
<theory name="MoreHoareLogic" sum="7babcb085e266d77f3fe1534cbdb55dd" expanded="true">
<goal name="WP_parameter list_sum" expl="VC for list_sum" expanded="true">
<proof prover="8"><result status="valid" time="0.03" steps="47"/></proof>
<theory name="MoreHoareLogic" sum="1f19c5cb7907db91164a5071ca016e67" expanded="true">
<goal name="VC list_sum" expl="VC for list_sum" expanded="true">
<proof prover="0"><result status="valid" time="0.02" steps="124"/></proof>
</goal>
<goal name="WP_parameter list_member" expl="VC for list_member" expanded="true">
<transf name="split_goal_wp" expanded="true">
<goal name="WP_parameter list_member.1" expl="1. loop invariant init" expanded="true">
<proof prover="8"><result status="valid" time="0.00" steps="2"/></proof>
</goal>
<goal name="WP_parameter list_member.2" expl="2. precondition" expanded="true">
<proof prover="8"><result status="valid" time="0.01" steps="4"/></proof>
</goal>
<goal name="WP_parameter list_member.3" expl="3. precondition" expanded="true">
<proof prover="8"><result status="valid" time="0.02" steps="8"/></proof>
</goal>
<goal name="WP_parameter list_member.4" expl="4. loop invariant preservation" expanded="true">
<transf name="split_goal_wp" expanded="true">
<goal name="WP_parameter list_member.4.1" expl="1. VC for list_member" expanded="true">
<proof prover="1"><result status="valid" time="0.02"/></proof>
</goal>
<goal name="WP_parameter list_member.4.2" expl="2. VC for list_member" expanded="true">
<proof prover="8"><result status="valid" time="0.02" steps="31"/></proof>
</goal>
<goal name="WP_parameter list_member.4.3" expl="3. VC for list_member" expanded="true">
<proof prover="1"><result status="valid" time="0.02"/></proof>
</goal>
</transf>
</goal>
<goal name="WP_parameter list_member.5" expl="5. loop variant decrease" expanded="true">
<proof prover="1"><result status="valid" time="0.02"/></proof>
</goal>
<goal name="WP_parameter list_member.6" expl="6. precondition" expanded="true">
<proof prover="8"><result status="valid" time="0.01" steps="7"/></proof>
</goal>
<goal name="WP_parameter list_member.7" expl="7. loop invariant preservation" expanded="true">
<transf name="split_goal_wp" expanded="true">
<goal name="WP_parameter list_member.7.1" expl="1. VC for list_member" expanded="true">
<proof prover="1"><result status="valid" time="0.02"/></proof>
</goal>
<goal name="WP_parameter list_member.7.2" expl="2. VC for list_member" expanded="true">
<proof prover="1" timelimit="5" memlimit="1000"><result status="valid" time="0.02"/></proof>
<proof prover="4" timelimit="5"><result status="valid" time="0.02"/></proof>
<proof prover="5"><result status="valid" time="0.02"/></proof>
<proof prover="6"><result status="valid" time="0.02"/></proof>
<proof prover="8" timelimit="5" memlimit="1000"><result status="valid" time="0.01" steps="31"/></proof>
</goal>
<goal name="WP_parameter list_member.7.3" expl="3. VC for list_member" expanded="true">
<proof prover="1"><result status="valid" time="0.02"/></proof>
</goal>
</transf>
</goal>
<goal name="WP_parameter list_member.8" expl="8. loop variant decrease" expanded="true">
<proof prover="8"><result status="valid" time="0.02" steps="22"/></proof>
</goal>
<goal name="WP_parameter list_member.9" expl="9. postcondition" expanded="true">
<proof prover="8"><result status="valid" time="0.01" steps="7"/></proof>
</goal>
</transf>
<goal name="VC list_member" expl="VC for list_member" expanded="true">
<proof prover="0"><result status="valid" time="0.12" steps="1087"/></proof>
</goal>
</theory>
</file>
......
......@@ -2,95 +2,11 @@
<!DOCTYPE why3session PUBLIC "-//Why3//proof session v5//EN"
"http://why3.lri.fr/why3session.dtd">
<why3session shape_version="4">
<prover id="3" name="Alt-Ergo" version="0.99.1" timelimit="6" steplimit="0" memlimit="1000"/>
<prover id="4" name="CVC3" version="2.4.1" timelimit="10" steplimit="0" memlimit="1000"/>
<prover id="0" name="Alt-Ergo" version="1.30" timelimit="10" steplimit="0" memlimit="1000"/>
<file name="../vstte12_two_way_sort.mlw">
<theory name="TwoWaySort" sum="b507c5df8120f7075d8db774783fcd94">
<goal name="WP_parameter two_way_sort" expl="VC for two_way_sort">
<transf name="split_goal_wp">
<goal name="WP_parameter two_way_sort.1" expl="1. loop invariant init">
<proof prover="3"><result status="valid" time="0.02" steps="1"/></proof>
</goal>
<goal name="WP_parameter two_way_sort.2" expl="2. loop invariant init">
<proof prover="3"><result status="valid" time="0.02" steps="2"/></proof>
</goal>
<goal name="WP_parameter two_way_sort.3" expl="3. loop invariant init">
<proof prover="3" timelimit="10" memlimit="0"><result status="valid" time="0.01" steps="2"/></proof>
</goal>
<goal name="WP_parameter two_way_sort.4" expl="4. loop invariant init">
<proof prover="3"><result status="valid" time="0.02" steps="4"/></proof>
</goal>
<goal name="WP_parameter two_way_sort.5" expl="5. type invariant">
<proof prover="3" timelimit="5"><result status="valid" time="0.01" steps="5"/></proof>
</goal>
<goal name="WP_parameter two_way_sort.6" expl="6. index in array bounds">
<proof prover="3" timelimit="10" memlimit="0"><result status="valid" time="0.02" steps="5"/></proof>
</goal>
<goal name="WP_parameter two_way_sort.7" expl="7. loop invariant preservation">
<proof prover="3"><result status="valid" time="0.03" steps="8"/></proof>
</goal>
<goal name="WP_parameter two_way_sort.8" expl="8. loop invariant preservation">
<proof prover="3"><result status="valid" time="0.02" steps="14"/></proof>
</goal>
<goal name="WP_parameter two_way_sort.9" expl="9. loop invariant preservation">
<proof prover="3" timelimit="10" memlimit="0"><result status="valid" time="0.02" steps="13"/></proof>
</goal>
<goal name="WP_parameter two_way_sort.10" expl="10. loop invariant preservation">
<proof prover="3"><result status="valid" time="0.02" steps="8"/></proof>
</goal>
<goal name="WP_parameter two_way_sort.11" expl="11. loop variant decrease">
<proof prover="3" timelimit="10" memlimit="0"><result status="valid" time="0.02" steps="8"/></proof>
</goal>
<goal name="WP_parameter two_way_sort.12" expl="12. index in array bounds">
<proof prover="3" timelimit="10" memlimit="0"><result status="valid" time="0.01" steps="7"/></proof>
</goal>
<goal name="WP_parameter two_way_sort.13" expl="13. loop invariant preservation">
<proof prover="3"><result status="valid" time="0.02" steps="10"/></proof>
</goal>
<goal name="WP_parameter two_way_sort.14" expl="14. loop invariant preservation">
<proof prover="3"><result status="valid" time="0.02" steps="15"/></proof>
</goal>
<goal name="WP_parameter two_way_sort.15" expl="15. loop invariant preservation">
<proof prover="3" timelimit="10" memlimit="0"><result status="valid" time="0.02" steps="16"/></proof>
</goal>
<goal name="WP_parameter two_way_sort.16" expl="16. loop invariant preservation">
<proof prover="3"><result status="valid" time="0.02" steps="10"/></proof>
</goal>
<goal name="WP_parameter two_way_sort.17" expl="17. loop variant decrease">
<proof prover="3" timelimit="10" memlimit="0"><result status="valid" time="0.01" steps="10"/></proof>
</goal>
<goal name="WP_parameter two_way_sort.18" expl="18. precondition">
<proof prover="3" timelimit="10" memlimit="0"><result status="valid" time="0.02" steps="9"/></proof>
</goal>
<goal name="WP_parameter two_way_sort.19" expl="19. loop invariant preservation">
<proof prover="3"><result status="valid" time="0.04" steps="12"/></proof>
</goal>
<goal name="WP_parameter two_way_sort.20" expl="20. loop invariant preservation">
<proof prover="3"><result status="valid" time="0.04" steps="46"/></proof>
</goal>
<goal name="WP_parameter two_way_sort.21" expl="21. loop invariant preservation">
<transf name="split_goal_wp">
<goal name="WP_parameter two_way_sort.21.1" expl="1. loop invariant preservation">
<proof prover="4"><result status="valid" time="0.53"/></proof>
</goal>
</transf>
</goal>
<goal name="WP_parameter two_way_sort.22" expl="22. loop invariant preservation">
<proof prover="3"><result status="valid" time="0.10" steps="97"/></proof>
</goal>
<goal name="WP_parameter two_way_sort.23" expl="23. loop variant decrease">
<proof prover="3" timelimit="10" memlimit="0"><result status="valid" time="0.02" steps="12"/></proof>
</goal>
<goal name="WP_parameter two_way_sort.24" expl="24. type invariant">
<proof prover="3" timelimit="5"><result status="valid" time="0.01" steps="5"/></proof>
</goal>
<goal name="WP_parameter two_way_sort.25" expl="25. postcondition">
<proof prover="3"><result status="valid" time="0.02" steps="26"/></proof>
</goal>
<goal name="WP_parameter two_way_sort.26" expl="26. postcondition">
<proof prover="3" timelimit="10" memlimit="0"><result status="valid" time="0.02" steps="5"/></proof>
</goal>
</transf>
<theory name="TwoWaySort" sum="9a53098fb91916babf96119c5dd734f6">
<goal name="VC two_way_sort" expl="VC for two_way_sort">
<proof prover="0"><result status="valid" time="0.09" steps="365"/></proof>
</goal>
</theory>
</file>
......
......@@ -2,11 +2,11 @@
<!DOCTYPE why3session PUBLIC "-//Why3//proof session v5//EN"
"http://why3.lri.fr/why3session.dtd">
<why3session shape_version="4">
<prover id="0" name="Alt-Ergo" version="1.01" timelimit="6" steplimit="0" memlimit="1000"/>
<prover id="1" name="Alt-Ergo" version="1.30" timelimit="10" steplimit="0" memlimit="1000"/>
<file name="../white_and_black_balls.mlw" expanded="true">
<theory name="WhiteAndBlackBalls" sum="f1c659b8cc0823c9aea0134121489d72" expanded="true">
<goal name="WP_parameter last_is_black" expl="VC for last_is_black" expanded="true">
<proof prover="0"><result status="valid" time="0.02" steps="81"/></proof>
<theory name="WhiteAndBlackBalls" sum="c95d774479979a32446912c235a8c0fa" expanded="true">
<goal name="VC last_is_black" expl="VC for last_is_black" expanded="true">
<proof prover="1"><result status="valid" time="0.02" steps="129"/></proof>
</goal>
</theory>
</file>
......
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