Commit 6589d1dc authored by Martin Clochard's avatar Martin Clochard

Prover example: fixed some proofs

parent b7f1a976
......@@ -3,7 +3,6 @@
"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="Z3" version="4.3.1" timelimit="5" memlimit="1000"/>
<prover id="4" name="Alt-Ergo" version="0.99.1" timelimit="5" memlimit="1000"/>
<prover id="5" name="CVC4" version="1.4" timelimit="5" memlimit="1000"/>
<prover id="6" name="Z3" version="4.3.2" timelimit="5" memlimit="1000"/>
......@@ -12,7 +11,7 @@
</theory>
<theory name="Logic" sum="d41d8cd98f00b204e9800998ecf8427e">
</theory>
<theory name="Impl" sum="8789e1ae5c5a202e347c47b77ffa1afc" expanded="true">
<theory name="Impl" sum="915f2729db9ec2d3726d5cb6a70d8272" expanded="true">
<goal name="WP_parameter create" expl="VC for create">
<proof prover="4"><result status="valid" time="0.11" steps="82"/></proof>
</goal>
......@@ -47,16 +46,16 @@
<goal name="WP_parameter resize_for.8.1" expl="1. postcondition">
<transf name="split_goal_wp">
<goal name="WP_parameter resize_for.8.1.1" expl="1. VC for resize_for">
<proof prover="3"><result status="valid" time="0.05"/></proof>
<proof prover="6"><result status="valid" time="0.04"/></proof>
</goal>
<goal name="WP_parameter resize_for.8.1.2" expl="2. VC for resize_for">
<proof prover="3"><result status="valid" time="0.06"/></proof>
<proof prover="6"><result status="valid" time="0.05"/></proof>
</goal>
<goal name="WP_parameter resize_for.8.1.3" expl="3. VC for resize_for">
<proof prover="3"><result status="valid" time="0.06"/></proof>
<proof prover="6"><result status="valid" time="0.05"/></proof>
</goal>
<goal name="WP_parameter resize_for.8.1.4" expl="4. VC for resize_for">
<proof prover="1"><result status="valid" time="1.49"/></proof>
<proof prover="1"><result status="valid" time="0.80"/></proof>
</goal>
</transf>
</goal>
......@@ -91,16 +90,16 @@
<goal name="WP_parameter resize_for.17.1" expl="1. precondition">
<transf name="split_goal_wp">
<goal name="WP_parameter resize_for.17.1.1" expl="1. VC for resize_for">
<proof prover="3"><result status="valid" time="0.06"/></proof>
<proof prover="6"><result status="valid" time="0.05"/></proof>
</goal>
<goal name="WP_parameter resize_for.17.1.2" expl="2. VC for resize_for">
<proof prover="3"><result status="valid" time="0.06"/></proof>
<proof prover="6"><result status="valid" time="0.04"/></proof>
</goal>
<goal name="WP_parameter resize_for.17.1.3" expl="3. VC for resize_for">
<proof prover="3"><result status="valid" time="0.06"/></proof>
<proof prover="6"><result status="valid" time="0.04"/></proof>
</goal>
<goal name="WP_parameter resize_for.17.1.4" expl="4. VC for resize_for">
<proof prover="1"><result status="valid" time="0.70"/></proof>
<proof prover="1"><result status="valid" time="0.49"/></proof>
</goal>
</transf>
</goal>
......@@ -140,7 +139,7 @@
<proof prover="4"><result status="valid" time="0.02" steps="14"/></proof>
</goal>
<goal name="WP_parameter resize_for.29" expl="29. precondition">
<proof prover="4"><result status="valid" time="0.44" steps="86"/></proof>
<proof prover="4"><result status="valid" time="0.22" steps="86"/></proof>
</goal>
<goal name="WP_parameter resize_for.30" expl="30. precondition">
<proof prover="4"><result status="valid" time="0.11" steps="11"/></proof>
......@@ -167,7 +166,7 @@
<proof prover="4"><result status="valid" time="0.02" steps="29"/></proof>
</goal>
<goal name="WP_parameter resize_for.38" expl="38. postcondition">
<proof prover="4"><result status="valid" time="1.08" steps="94"/></proof>
<proof prover="4"><result status="valid" time="0.85" steps="94"/></proof>
</goal>
<goal name="WP_parameter resize_for.39" expl="39. postcondition">
<proof prover="4"><result status="valid" time="0.41" steps="106"/></proof>
......@@ -177,8 +176,8 @@
</goal>
</transf>
</goal>
<goal name="WP_parameter iadd" expl="VC for iadd" expanded="true">
<transf name="split_goal_wp" expanded="true">
<goal name="WP_parameter iadd" expl="VC for iadd">
<transf name="split_goal_wp">
<goal name="WP_parameter iadd.1" expl="1. index in array bounds">
<proof prover="4"><result status="valid" time="0.02" steps="5"/></proof>
</goal>
......@@ -197,10 +196,29 @@
<goal name="WP_parameter iadd.6" expl="6. assertion">
<proof prover="6"><result status="valid" time="0.04"/></proof>
</goal>
<goal name="WP_parameter iadd.7" expl="7. assertion" expanded="true">
<goal name="WP_parameter iadd.7" expl="7. assertion">
<transf name="introduce_premises">
<goal name="WP_parameter iadd.7.1" expl="1. VC for iadd">
<transf name="inline_goal">
<goal name="WP_parameter iadd.7.1.1" expl="1. VC for iadd">
<transf name="split_goal_wp">
<goal name="WP_parameter iadd.7.1.1.1" expl="1. VC for iadd">
<proof prover="1"><result status="valid" time="0.42"/></proof>
</goal>
<goal name="WP_parameter iadd.7.1.1.2" expl="2. VC for iadd">
<proof prover="4"><result status="valid" time="0.03" steps="15"/></proof>
</goal>
<goal name="WP_parameter iadd.7.1.1.3" expl="3. VC for iadd">
<proof prover="1"><result status="valid" time="0.25"/></proof>
</goal>
</transf>
</goal>
</transf>
</goal>
</transf>
</goal>
<goal name="WP_parameter iadd.8" expl="8. assertion">
<proof prover="1"><result status="valid" time="0.17"/></proof>
<proof prover="1"><result status="valid" time="0.05"/></proof>
</goal>
<goal name="WP_parameter iadd.9" expl="9. postcondition">
<proof prover="4"><result status="valid" time="0.08" steps="12"/></proof>
......@@ -213,13 +231,13 @@
<proof prover="1"><result status="valid" time="0.10"/></proof>
</goal>
<goal name="WP_parameter iadd.10.1.2" expl="2. VC for iadd">
<proof prover="1"><result status="valid" time="0.58"/></proof>
<proof prover="1"><result status="valid" time="0.30"/></proof>
</goal>
<goal name="WP_parameter iadd.10.1.3" expl="3. VC for iadd">
<proof prover="1"><result status="valid" time="0.45"/></proof>
<proof prover="1"><result status="valid" time="0.23"/></proof>
</goal>
<goal name="WP_parameter iadd.10.1.4" expl="4. VC for iadd">
<proof prover="1"><result status="valid" time="1.21"/></proof>
<proof prover="1"><result status="valid" time="0.72"/></proof>
</goal>
</transf>
</goal>
......@@ -324,11 +342,11 @@
<goal name="WP_parameter backtrack.5" expl="5. assertion">
<transf name="split_goal_wp">
<goal name="WP_parameter backtrack.5.1" expl="1. assertion">
<proof prover="1"><result status="valid" time="0.76"/></proof>
<proof prover="1"><result status="valid" time="0.44"/></proof>
</goal>
<goal name="WP_parameter backtrack.5.2" expl="2. assertion">
<proof prover="1"><result status="valid" time="0.69"/></proof>
<proof prover="4"><result status="valid" time="1.84" steps="392"/></proof>
<proof prover="1"><result status="valid" time="0.48"/></proof>
<proof prover="4"><result status="valid" time="0.95" steps="392"/></proof>
</goal>
<goal name="WP_parameter backtrack.5.3" expl="3. assertion">
<proof prover="1"><result status="valid" time="0.10"/></proof>
......@@ -349,7 +367,7 @@
<proof prover="4"><result status="valid" time="0.03" steps="32"/></proof>
</goal>
<goal name="WP_parameter backtrack.10" expl="10. precondition">
<proof prover="4"><result status="valid" time="0.31" steps="97"/></proof>
<proof prover="4"><result status="valid" time="0.16" steps="97"/></proof>
</goal>
<goal name="WP_parameter backtrack.11" expl="11. precondition">
<proof prover="6"><result status="valid" time="0.04"/></proof>
......@@ -382,7 +400,7 @@
<proof prover="4"><result status="valid" time="0.05" steps="61"/></proof>
</goal>
<goal name="WP_parameter backtrack.21" expl="21. postcondition">
<proof prover="1"><result status="valid" time="0.86"/></proof>
<proof prover="1"><result status="valid" time="0.37"/></proof>
</goal>
<goal name="WP_parameter backtrack.22" expl="22. assertion">
<proof prover="4"><result status="valid" time="0.07" steps="38"/></proof>
......@@ -391,7 +409,7 @@
<proof prover="4"><result status="valid" time="0.21" steps="50"/></proof>
</goal>
<goal name="WP_parameter backtrack.24" expl="24. unreachable point">
<proof prover="4"><result status="valid" time="0.26" steps="54"/></proof>
<proof prover="4"><result status="valid" time="0.11" steps="54"/></proof>
</goal>
<goal name="WP_parameter backtrack.25" expl="25. index in array bounds">
<proof prover="4"><result status="valid" time="0.02" steps="24"/></proof>
......@@ -400,10 +418,10 @@
<proof prover="4"><result status="valid" time="0.04" steps="25"/></proof>
</goal>
<goal name="WP_parameter backtrack.27" expl="27. assertion">
<proof prover="4"><result status="valid" time="0.59" steps="270"/></proof>
<proof prover="4"><result status="valid" time="0.30" steps="270"/></proof>
</goal>
<goal name="WP_parameter backtrack.28" expl="28. assertion">
<proof prover="1"><result status="valid" time="0.30"/></proof>
<proof prover="1"><result status="valid" time="0.14"/></proof>
</goal>
<goal name="WP_parameter backtrack.29" expl="29. variant decrease">
<proof prover="4"><result status="valid" time="0.04" steps="28"/></proof>
......@@ -448,7 +466,7 @@
<proof prover="4"><result status="valid" time="0.03" steps="28"/></proof>
</goal>
<goal name="WP_parameter backtrack.36" expl="36. precondition">
<proof prover="5"><result status="valid" time="2.53"/></proof>
<proof prover="5"><result status="valid" time="1.63"/></proof>
</goal>
<goal name="WP_parameter backtrack.37" expl="37. precondition">
<proof prover="1"><result status="valid" time="0.07"/></proof>
......@@ -485,7 +503,7 @@
<proof prover="4"><result status="valid" time="0.39" steps="349"/></proof>
</goal>
<goal name="WP_parameter backtrack.48" expl="48. assertion">
<proof prover="1"><result status="valid" time="0.88"/></proof>
<proof prover="1"><result status="valid" time="0.54"/></proof>
</goal>
<goal name="WP_parameter backtrack.49" expl="49. variant decrease">
<proof prover="4"><result status="valid" time="0.02" steps="26"/></proof>
......@@ -535,7 +553,7 @@
<proof prover="4"><result status="valid" time="0.06" steps="52"/></proof>
</goal>
<goal name="WP_parameter backtrack.62" expl="62. postcondition">
<proof prover="1"><result status="valid" time="0.51"/></proof>
<proof prover="1"><result status="valid" time="0.25"/></proof>
</goal>
<goal name="WP_parameter backtrack.63" expl="63. postcondition">
<proof prover="4"><result status="valid" time="0.02" steps="14"/></proof>
......@@ -592,7 +610,7 @@
<proof prover="4"><result status="valid" time="0.07" steps="51"/></proof>
</goal>
<goal name="WP_parameter backtrack.81" expl="81. postcondition">
<proof prover="4"><result status="valid" time="0.46" steps="110"/></proof>
<proof prover="4"><result status="valid" time="0.29" steps="110"/></proof>
</goal>
<goal name="WP_parameter backtrack.82" expl="82. postcondition">
<proof prover="4"><result status="valid" time="0.07" steps="40"/></proof>
......@@ -601,13 +619,13 @@
<proof prover="4"><result status="valid" time="0.12" steps="41"/></proof>
</goal>
<goal name="WP_parameter backtrack.84" expl="84. postcondition">
<proof prover="4"><result status="valid" time="0.58" steps="75"/></proof>
<proof prover="4"><result status="valid" time="0.36" steps="75"/></proof>
</goal>
<goal name="WP_parameter backtrack.85" expl="85. postcondition">
<proof prover="6"><result status="valid" time="0.09"/></proof>
</goal>
<goal name="WP_parameter backtrack.86" expl="86. precondition">
<proof prover="4"><result status="valid" time="0.42" steps="85"/></proof>
<proof prover="4"><result status="valid" time="0.23" steps="85"/></proof>
</goal>
<goal name="WP_parameter backtrack.87" expl="87. precondition">
<proof prover="4"><result status="valid" time="0.08" steps="24"/></proof>
......@@ -629,7 +647,7 @@
<proof prover="4"><result status="valid" time="0.06" steps="33"/></proof>
</goal>
<goal name="WP_parameter backtrack.93" expl="93. postcondition">
<proof prover="4"><result status="valid" time="0.59" steps="101"/></proof>
<proof prover="4"><result status="valid" time="0.33" steps="101"/></proof>
</goal>
<goal name="WP_parameter backtrack.94" expl="94. postcondition">
<proof prover="4"><result status="valid" time="0.06" steps="31"/></proof>
......
......@@ -2,16 +2,14 @@
<!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="60" memlimit="1000"/>
<prover id="3" name="Eprover" version="1.6" timelimit="30" memlimit="1000"/>
<prover id="6" name="Vampire" version="0.6" timelimit="5" memlimit="1000"/>
<prover id="1" name="CVC3" version="2.4.1" timelimit="20" memlimit="1000"/>
<prover id="9" name="Alt-Ergo" version="0.99.1" timelimit="1" memlimit="1000"/>
<prover id="10" name="CVC4" version="1.4" timelimit="5" memlimit="1000"/>
<prover id="11" name="Eprover" version="1.8-001" timelimit="5" memlimit="1000"/>
<file name="../Firstorder_formula_impl.mlw" expanded="true">
<theory name="Types" sum="d41d8cd98f00b204e9800998ecf8427e">
</theory>
<theory name="Logic" sum="2737fb4c39b06d3bda412e0a5099ef9c" expanded="true">
<theory name="Logic" sum="2737fb4c39b06d3bda412e0a5099ef9c">
<goal name="WP_parameter nlsize_positive_lemma_fo_formula" expl="VC for nlsize_positive_lemma_fo_formula">
<transf name="split_goal_wp">
<goal name="WP_parameter nlsize_positive_lemma_fo_formula.1" expl="1. variant decrease">
......@@ -418,25 +416,25 @@
<proof prover="9"><result status="valid" time="0.14" steps="10"/></proof>
</goal>
<goal name="WP_parameter model_equal_fo_formula.18" expl="18. precondition">
<proof prover="9"><result status="valid" time="0.22" steps="61"/></proof>
<proof prover="9"><result status="valid" time="0.09" steps="61"/></proof>
</goal>
<goal name="WP_parameter model_equal_fo_formula.19" expl="19. precondition">
<proof prover="9"><result status="valid" time="0.13" steps="10"/></proof>
</goal>
<goal name="WP_parameter model_equal_fo_formula.20" expl="20. precondition">
<proof prover="9"><result status="valid" time="0.20" steps="30"/></proof>
<proof prover="9"><result status="valid" time="0.07" steps="30"/></proof>
</goal>
<goal name="WP_parameter model_equal_fo_formula.21" expl="21. variant decrease">
<proof prover="9"><result status="valid" time="0.15" steps="26"/></proof>
</goal>
<goal name="WP_parameter model_equal_fo_formula.22" expl="22. precondition">
<proof prover="9"><result status="valid" time="0.21" steps="81"/></proof>
<proof prover="9"><result status="valid" time="0.08" steps="81"/></proof>
</goal>
<goal name="WP_parameter model_equal_fo_formula.23" expl="23. precondition">
<proof prover="9"><result status="valid" time="0.14" steps="14"/></proof>
</goal>
<goal name="WP_parameter model_equal_fo_formula.24" expl="24. precondition">
<proof prover="9"><result status="valid" time="0.25" steps="77"/></proof>
<proof prover="9"><result status="valid" time="0.09" steps="77"/></proof>
</goal>
<goal name="WP_parameter model_equal_fo_formula.25" expl="25. precondition">
<proof prover="9"><result status="valid" time="0.12" steps="14"/></proof>
......@@ -451,13 +449,13 @@
<proof prover="9"><result status="valid" time="0.14" steps="22"/></proof>
</goal>
<goal name="WP_parameter model_equal_fo_formula.29" expl="29. precondition">
<proof prover="9"><result status="valid" time="0.22" steps="56"/></proof>
<proof prover="9"><result status="valid" time="0.09" steps="56"/></proof>
</goal>
<goal name="WP_parameter model_equal_fo_formula.30" expl="30. precondition">
<proof prover="9"><result status="valid" time="0.12" steps="10"/></proof>
</goal>
<goal name="WP_parameter model_equal_fo_formula.31" expl="31. precondition">
<proof prover="9"><result status="valid" time="0.24" steps="61"/></proof>
<proof prover="9"><result status="valid" time="0.10" steps="61"/></proof>
</goal>
<goal name="WP_parameter model_equal_fo_formula.32" expl="32. precondition">
<proof prover="9"><result status="valid" time="0.12" steps="10"/></proof>
......@@ -469,7 +467,7 @@
<proof prover="9"><result status="valid" time="0.14" steps="26"/></proof>
</goal>
<goal name="WP_parameter model_equal_fo_formula.35" expl="35. precondition">
<proof prover="9"><result status="valid" time="0.22" steps="81"/></proof>
<proof prover="9"><result status="valid" time="0.09" steps="81"/></proof>
</goal>
<goal name="WP_parameter model_equal_fo_formula.36" expl="36. precondition">
<proof prover="9"><result status="valid" time="0.13" steps="14"/></proof>
......@@ -543,7 +541,7 @@
</transf>
</goal>
</theory>
<theory name="Impl" sum="6f22b31e28f8142ae18b20e0bc2fe21d" expanded="true">
<theory name="Impl" sum="b4f40faf9011615a949ccb90cc423117" expanded="true">
<goal name="WP_parameter bind_var_symbol_in_fo_formula" expl="VC for bind_var_symbol_in_fo_formula">
<transf name="split_goal_wp">
<goal name="WP_parameter bind_var_symbol_in_fo_formula.1" expl="1. assertion">
......@@ -595,7 +593,7 @@
<proof prover="9"><result status="valid" time="0.14" steps="14"/></proof>
</goal>
<goal name="WP_parameter bind_var_symbol_in_fo_formula.17" expl="17. postcondition">
<proof prover="9"><result status="valid" time="0.22" steps="21"/></proof>
<proof prover="9"><result status="valid" time="0.07" steps="21"/></proof>
</goal>
<goal name="WP_parameter bind_var_symbol_in_fo_formula.18" expl="18. postcondition">
<proof prover="9"><result status="valid" time="0.16" steps="21"/></proof>
......@@ -619,7 +617,7 @@
<proof prover="9"><result status="valid" time="0.12" steps="12"/></proof>
</goal>
<goal name="WP_parameter bind_var_symbol_in_fo_formula.25" expl="25. assertion">
<proof prover="9"><result status="valid" time="0.19" steps="12"/></proof>
<proof prover="9"><result status="valid" time="0.07" steps="12"/></proof>
</goal>
<goal name="WP_parameter bind_var_symbol_in_fo_formula.26" expl="26. assertion">
<proof prover="9"><result status="valid" time="0.11" steps="12"/></proof>
......@@ -628,7 +626,7 @@
<proof prover="9"><result status="valid" time="0.13" steps="24"/></proof>
</goal>
<goal name="WP_parameter bind_var_symbol_in_fo_formula.28" expl="28. precondition">
<proof prover="9"><result status="valid" time="0.25" steps="48"/></proof>
<proof prover="9"><result status="valid" time="0.08" steps="48"/></proof>
</goal>
<goal name="WP_parameter bind_var_symbol_in_fo_formula.29" expl="29. precondition">
<proof prover="9"><result status="valid" time="0.17" steps="115"/></proof>
......@@ -670,7 +668,7 @@
<proof prover="9"><result status="valid" time="0.10" steps="12"/></proof>
</goal>
<goal name="WP_parameter bind_var_symbol_in_fo_formula.42" expl="42. assertion">
<proof prover="9"><result status="valid" time="0.22" steps="12"/></proof>
<proof prover="9"><result status="valid" time="0.09" steps="12"/></proof>
</goal>
<goal name="WP_parameter bind_var_symbol_in_fo_formula.43" expl="43. variant decrease">
<proof prover="9"><result status="valid" time="0.16" steps="24"/></proof>
......@@ -757,7 +755,7 @@
<proof prover="9"><result status="valid" time="0.17" steps="11"/></proof>
</goal>
<goal name="WP_parameter bind_var_symbol_in_fo_formula.71" expl="71. assertion">
<proof prover="9"><result status="valid" time="0.23" steps="13"/></proof>
<proof prover="9"><result status="valid" time="0.08" steps="13"/></proof>
</goal>
<goal name="WP_parameter bind_var_symbol_in_fo_formula.72" expl="72. assertion">
<proof prover="9"><result status="valid" time="0.12" steps="41"/></proof>
......@@ -769,7 +767,7 @@
<proof prover="9"><result status="valid" time="0.18" steps="12"/></proof>
</goal>
<goal name="WP_parameter bind_var_symbol_in_fo_formula.75" expl="75. assertion">
<proof prover="9"><result status="valid" time="0.23" steps="12"/></proof>
<proof prover="9"><result status="valid" time="0.08" steps="12"/></proof>
</goal>
<goal name="WP_parameter bind_var_symbol_in_fo_formula.76" expl="76. assertion">
<proof prover="9"><result status="valid" time="0.14" steps="12"/></proof>
......@@ -836,7 +834,7 @@
<proof prover="9"><result status="valid" time="0.19" steps="49"/></proof>
</goal>
<goal name="WP_parameter bind_var_fo_term_in_fo_formula.12" expl="12. assertion">
<proof prover="9"><result status="valid" time="0.21" steps="40"/></proof>
<proof prover="9"><result status="valid" time="0.09" steps="40"/></proof>
</goal>
<goal name="WP_parameter bind_var_fo_term_in_fo_formula.13" expl="13. assertion">
<proof prover="9"><result status="valid" time="0.14" steps="35"/></proof>
......@@ -917,7 +915,7 @@
<proof prover="9"><result status="valid" time="0.13" steps="25"/></proof>
</goal>
<goal name="WP_parameter bind_var_fo_term_in_fo_formula.39" expl="39. assertion">
<proof prover="9"><result status="valid" time="0.22" steps="24"/></proof>
<proof prover="9"><result status="valid" time="0.09" steps="24"/></proof>
</goal>
<goal name="WP_parameter bind_var_fo_term_in_fo_formula.40" expl="40. assertion">
<proof prover="9"><result status="valid" time="0.13" steps="12"/></proof>
......@@ -926,10 +924,10 @@
<proof prover="9"><result status="valid" time="0.09" steps="12"/></proof>
</goal>
<goal name="WP_parameter bind_var_fo_term_in_fo_formula.42" expl="42. assertion">
<proof prover="9"><result status="valid" time="0.20" steps="12"/></proof>
<proof prover="9"><result status="valid" time="0.08" steps="12"/></proof>
</goal>
<goal name="WP_parameter bind_var_fo_term_in_fo_formula.43" expl="43. variant decrease">
<proof prover="9"><result status="valid" time="0.20" steps="24"/></proof>
<proof prover="9"><result status="valid" time="0.08" steps="24"/></proof>
</goal>
<goal name="WP_parameter bind_var_fo_term_in_fo_formula.44" expl="44. precondition">
<proof prover="9"><result status="valid" time="0.17" steps="46"/></proof>
......@@ -1010,7 +1008,7 @@
<proof prover="9"><result status="valid" time="0.14" steps="9"/></proof>
</goal>
<goal name="WP_parameter bind_var_fo_term_in_fo_formula.70" expl="70. postcondition">
<proof prover="9"><result status="valid" time="0.22" steps="11"/></proof>
<proof prover="9"><result status="valid" time="0.08" steps="11"/></proof>
</goal>
<goal name="WP_parameter bind_var_fo_term_in_fo_formula.71" expl="71. assertion">
<proof prover="9"><result status="valid" time="0.16" steps="12"/></proof>
......@@ -1110,7 +1108,7 @@
<proof prover="9"><result status="valid" time="0.12" steps="14"/></proof>
</goal>
<goal name="WP_parameter unbind_var_symbol_in_fo_formula.23" expl="23. postcondition">
<proof prover="9"><result status="valid" time="0.25" steps="24"/></proof>
<proof prover="9"><result status="valid" time="0.08" steps="24"/></proof>
</goal>
<goal name="WP_parameter unbind_var_symbol_in_fo_formula.24" expl="24. postcondition">
<proof prover="9"><result status="valid" time="0.16" steps="24"/></proof>
......@@ -1137,7 +1135,7 @@
<proof prover="9"><result status="valid" time="0.14" steps="14"/></proof>
</goal>
<goal name="WP_parameter unbind_var_symbol_in_fo_formula.32" expl="32. assertion">
<proof prover="9"><result status="valid" time="0.21" steps="14"/></proof>
<proof prover="9"><result status="valid" time="0.08" steps="14"/></proof>
</goal>
<goal name="WP_parameter unbind_var_symbol_in_fo_formula.33" expl="33. variant decrease">
<proof prover="9"><result status="valid" time="0.12" steps="27"/></proof>
......@@ -1344,7 +1342,7 @@
<proof prover="9"><result status="valid" time="0.14" steps="63"/></proof>
</goal>
<goal name="WP_parameter unbind_var_symbol_in_fo_formula.101" expl="101. precondition">
<proof prover="9"><result status="valid" time="0.24" steps="46"/></proof>
<proof prover="9"><result status="valid" time="0.08" steps="46"/></proof>
</goal>
<goal name="WP_parameter unbind_var_symbol_in_fo_formula.102" expl="102. precondition">
<proof prover="9"><result status="valid" time="0.17" steps="14"/></proof>
......@@ -1353,7 +1351,7 @@
<proof prover="9"><result status="valid" time="0.16" steps="21"/></proof>
</goal>
<goal name="WP_parameter unbind_var_symbol_in_fo_formula.104" expl="104. precondition">
<proof prover="9"><result status="valid" time="0.56" steps="186"/></proof>
<proof prover="9"><result status="valid" time="0.35" steps="186"/></proof>
</goal>
<goal name="WP_parameter unbind_var_symbol_in_fo_formula.105" expl="105. precondition">
<proof prover="9" timelimit="5"><result status="valid" time="0.16" steps="79"/></proof>
......@@ -1384,7 +1382,7 @@
<proof prover="9"><result status="valid" time="0.13" steps="14"/></proof>
</goal>
<goal name="WP_parameter unbind_var_fo_term_in_fo_formula.2" expl="2. assertion">
<proof prover="9" timelimit="5"><result status="valid" time="0.40" steps="182"/></proof>
<proof prover="9" timelimit="5"><result status="valid" time="0.22" steps="182"/></proof>
</goal>
<goal name="WP_parameter unbind_var_fo_term_in_fo_formula.3" expl="3. assertion">
<proof prover="9"><result status="valid" time="0.13" steps="40"/></proof>
......@@ -1480,7 +1478,7 @@
<proof prover="9"><result status="valid" time="0.14" steps="16"/></proof>
</goal>
<goal name="WP_parameter unbind_var_fo_term_in_fo_formula.34" expl="34. assertion">
<proof prover="9"><result status="valid" time="0.21" steps="16"/></proof>
<proof prover="9"><result status="valid" time="0.08" steps="16"/></proof>
</goal>
<goal name="WP_parameter unbind_var_fo_term_in_fo_formula.35" expl="35. variant decrease">
<proof prover="9"><result status="valid" time="0.16" steps="28"/></proof>
......@@ -1546,7 +1544,7 @@
<proof prover="9"><result status="valid" time="0.14" steps="30"/></proof>
</goal>
<goal name="WP_parameter unbind_var_fo_term_in_fo_formula.56" expl="56. assertion">
<proof prover="9"><result status="valid" time="0.20" steps="16"/></proof>
<proof prover="9"><result status="valid" time="0.07" steps="16"/></proof>
</goal>
<goal name="WP_parameter unbind_var_fo_term_in_fo_formula.57" expl="57. assertion">
<proof prover="9"><result status="valid" time="0.11" steps="16"/></proof>
......@@ -1690,7 +1688,7 @@
<proof prover="9"><result status="valid" time="0.14" steps="16"/></proof>
</goal>
<goal name="WP_parameter unbind_var_fo_term_in_fo_formula.104" expl="104. assertion">
<proof prover="9"><result status="valid" time="0.24" steps="16"/></proof>
<proof prover="9"><result status="valid" time="0.07" steps="16"/></proof>
</goal>
<goal name="WP_parameter unbind_var_fo_term_in_fo_formula.105" expl="105. precondition">
<proof prover="9"><result status="valid" time="0.14" steps="16"/></proof>
......@@ -1781,7 +1779,7 @@
<proof prover="9" timelimit="5"><result status="valid" time="0.16" steps="12"/></proof>
</goal>
<goal name="WP_parameter subst_base_symbol_in_fo_formula.19" expl="19. postcondition">
<proof prover="9" timelimit="5"><result status="valid" time="0.25" steps="20"/></proof>
<proof prover="9" timelimit="5"><result status="valid" time="0.08" steps="20"/></proof>
</goal>
<goal name="WP_parameter subst_base_symbol_in_fo_formula.20" expl="20. postcondition">
<proof prover="9" timelimit="5"><result status="valid" time="0.17" steps="23"/></proof>
......@@ -1985,7 +1983,7 @@
<proof prover="9" timelimit="5"><result status="valid" time="0.18" steps="12"/></proof>
</goal>
<goal name="WP_parameter subst_base_symbol_in_fo_formula.87" expl="87. precondition">
<proof prover="9" timelimit="5"><result status="valid" time="0.50" steps="171"/></proof>
<proof prover="9" timelimit="5"><result status="valid" time="0.34" steps="171"/></proof>
</goal>
<goal name="WP_parameter subst_base_symbol_in_fo_formula.88" expl="88. precondition">
<proof prover="9" timelimit="5"><result status="valid" time="0.20" steps="62"/></proof>
......@@ -1994,7 +1992,7 @@
<proof prover="9" timelimit="5"><result status="valid" time="0.14" steps="17"/></proof>
</goal>
<goal name="WP_parameter subst_base_symbol_in_fo_formula.90" expl="90. postcondition">
<proof prover="9" timelimit="5"><result status="valid" time="0.27" steps="225"/></proof>
<proof prover="9" timelimit="5"><result status="valid" time="0.14" steps="225"/></proof>
</goal>
<goal name="WP_parameter subst_base_symbol_in_fo_formula.91" expl="91. postcondition">
<proof prover="9" timelimit="5"><result status="valid" time="0.27" steps="175"/></proof>
......@@ -2271,7 +2269,7 @@
<proof prover="9" timelimit="5"><result status="valid" time="0.12" steps="27"/></proof>
</goal>
<goal name="WP_parameter subst_base_fo_term_in_fo_formula.88" expl="88. assertion">
<proof prover="9" timelimit="5"><result status="valid" time="0.22" steps="14"/></proof>
<proof prover="9" timelimit="5"><result status="valid" time="0.07" steps="14"/></proof>
</goal>
<goal name="WP_parameter subst_base_fo_term_in_fo_formula.89" expl="89. assertion">
<proof prover="9" timelimit="5"><result status="valid" time="0.17" steps="14"/></proof>
......@@ -2311,10 +2309,10 @@
<proof prover="9" timelimit="5"><result status="valid" time="0.46" steps="998"/></proof>
</goal>
<goal name="WP_parameter construct_fo_formula.2" expl="2. precondition">
<proof prover="9"><result status="valid" time="0.22" steps="10"/></proof>
<proof prover="9"><result status="valid" time="0.08" steps="10"/></proof>
</goal>
<goal name="WP_parameter construct_fo_formula.3" expl="3. precondition">
<proof prover="9"><result status="valid" time="0.23" steps="12"/></proof>
<proof prover="9"><result status="valid" time="0.08" steps="12"/></proof>
</goal>
<goal name="WP_parameter construct_fo_formula.4" expl="4. assertion">
<transf name="split_goal_wp">
......@@ -2328,7 +2326,7 @@
<proof prover="9" timelimit="5"><result status="valid" time="0.12" steps="18"/></proof>
</goal>
<goal name="WP_parameter construct_fo_formula.4.4" expl="4. assertion">
<proof prover="9" timelimit="5"><result status="valid" time="0.37" steps="383"/></proof>
<proof prover="9" timelimit="5"><result status="valid" time="0.19" steps="383"/></proof>
</goal>
<goal name="WP_parameter construct_fo_formula.4.5" expl="5. assertion">
<proof prover="9" timelimit="5"><result status="valid" time="0.17" steps="229"/></proof>
......@@ -2347,7 +2345,7 @@
<proof prover="9" timelimit="5"><result status="valid" time="0.20" steps="249"/></proof>
</goal>
<goal name="WP_parameter construct_fo_formula.5.3" expl="3. assertion">
<proof prover="9" timelimit="5"><result status="valid" time="3.18" steps="897"/></proof>
<proof prover="9" timelimit="5"><result status="valid" time="2.12" steps="897"/></proof>
</goal>
<goal name="WP_parameter construct_fo_formula.5.4" expl="4. assertion">
<proof prover="9" timelimit="5"><result status="valid" time="0.14" steps="20"/></proof>
......@@ -2379,7 +2377,7 @@
<proof prover="9"><result status="valid" time="0.28" steps="228"/></proof>
</goal>
<goal name="WP_parameter construct_fo_formula.11" expl="11. precondition">
<proof prover="9"><result status="valid" time="0.22" steps="6"/></proof>
<proof prover="9"><result status="valid" time="0.08" steps="6"/></proof>
</goal>
<goal name="WP_parameter construct_fo_formula.12" expl="12. precondition">
<proof prover="9"><result status="valid" time="0.13" steps="6"/></proof>
......@@ -2401,7 +2399,7 @@
<goal name="WP_parameter construct_fo_formula.17.1" expl="1. postcondition">
<transf name="split_goal_wp">
<goal name="WP_parameter construct_fo_formula.17.1.1" expl="1. VC for construct_fo_formula">
<proof prover="9" timelimit="5"><result status="valid" time="0.36" steps="97"/></proof>
<proof prover="9" timelimit="5"><result status="valid" time="0.13" steps="97"/></proof>
</goal>
<goal name="WP_parameter construct_fo_formula.17.1.2" expl="2. VC for construct_fo_formula">
<proof prover="9" timelimit="5"><result status="valid" time="0.39" steps="340"/></proof>
......@@ -2416,7 +2414,7 @@
<proof prover="9" timelimit="5"><result status="valid" time="0.42" steps="373"/></proof>
</goal>
<goal name="WP_parameter construct_fo_formula.17.1.6" expl="6. VC for construct_fo_formula">
<proof prover="9" timelimit="5"><result status="valid" time="0.30" steps="72"/></proof>
<proof prover="9" timelimit="5"><result status="valid" time="0.14" steps="72"/></proof>
</goal>
<goal name="WP_parameter construct_fo_formula.17.1.7" expl="7. VC for construct_fo_formula">
<proof prover="9" timelimit="5"><result status="valid" time="0.17" steps="71"/></proof>
......@@ -2449,7 +2447,7 @@
<proof prover="9" timelimit="5"><result status="valid" time="0.17" steps="277"/></proof>
</goal>
<goal name="WP_parameter construct_fo_formula.22.3" expl="3. assertion">
<proof prover="9" timelimit="5"><result status="valid" time="3.15" steps="897"/></proof>
<proof prover="9" timelimit="5"><result status="valid" time="2.38" steps="897"/></proof>
</goal>
<goal name="WP_parameter construct_fo_formula.22.4" expl="4. assertion">
<proof prover="9" timelimit="5"><result status="valid" time="0.12" steps="20"/></proof>
......@@ -2458,7 +2456,7 @@
<proof prover="9" timelimit="5"><result status="valid" time="0.37" steps="476"/></proof>
</goal>
<goal name="WP_parameter construct_fo_formula.22.6" expl="6. assertion">
<proof prover="9" timelimit="5"><result status="valid" time="0.14" steps="260"/></proof>
<proof prover="9" timelimit="5"><result status="valid" time="0.26" steps="260"/></proof>
</goal>
<goal name="WP_parameter construct_fo_formula.22.7" expl="7. assertion">
<proof prover="9" timelimit="5"><result status="valid" time="0.14" steps="17"/></proof>
......@@ -2468,10 +2466,10 @@
<goal name="WP_parameter construct_fo_formula.23" expl="23. assertion">
<transf name="split_goal_wp">
<goal name="WP_parameter construct_fo_formula.23.1" expl="1. assertion">
<proof prover="9" timelimit="5"><result status="valid" time="0.27" steps="19"/></proof>
<proof prover="9" timelimit="5"><result status="valid" time="0.10" steps="19"/></proof>
</goal>
<goal name="WP_parameter construct_fo_formula.23.2" expl="2. assertion">
<proof prover="9" timelimit="5"><result status="valid" time="0.36" steps="281"/></proof>
<proof prover="9" timelimit="5"><result status="valid" time="0.21" steps="281"/></proof>
</goal>
</transf>
</goal>
......@@ -2482,7 +2480,7 @@
<proof prover="9"><result status="valid" time="0.14" steps="15"/></proof>
</goal>
<goal name="WP_parameter construct_fo_formula.26" expl="26. assertion">
<proof prover="9"><result status="valid" time="0.49" steps="472"/></proof>
<proof prover="9"><result status="valid" time="0.33" steps="472"/></proof>
</goal>
<goal name="WP_parameter construct_fo_formula.27" expl="27. assertion">
<proof prover="9"><result status="valid" time="0.27" steps="253"/></proof>
......@@ -2503,7 +2501,7 @@
<proof prover="9"><result status="valid" time="0.13" steps="17"/></proof>
</goal>
<goal name="WP_parameter construct_fo_formula.33" expl="33. postcondition">
<proof prover="9" timelimit="5"><result status="valid" time="1.31" steps="1719"/></proof>
<proof prover="9" timelimit="5"><result status="valid" time="1.02" steps="1719"/></proof>
</goal>
<goal name="WP_parameter construct_fo_formula.34" expl="34. postcondition">
<proof prover="9" timelimit="5"><result status="valid" time="0.97" steps="1365"/></proof>
......@@ -2522,35 +2520,35 @@