%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SET772+4 : TPTP v8.1.2. Released v2.2.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n003.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Thu Aug 31 15:26:22 EDT 2023 % Result : Theorem 13.71s 2.73s % Output : Proof 21.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET772+4 : TPTP v8.1.2. Released v2.2.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.10/0.32 % Computer : n003.cluster.edu % 0.10/0.32 % Model : x86_64 x86_64 % 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.32 % Memory : 8042.1875MB % 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.32 % CPULimit : 300 % 0.10/0.32 % WCLimit : 300 % 0.10/0.33 % DateTime : Sat Aug 26 12:20:54 EDT 2023 % 0.10/0.33 % CPUTime : % 0.15/0.59 ________ _____ % 0.15/0.59 ___ __ \_________(_)________________________________ % 0.15/0.59 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.15/0.59 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.15/0.59 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.15/0.59 % 0.15/0.59 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.15/0.59 (2023-06-19) % 0.15/0.59 % 0.15/0.59 (c) Philipp Rümmer, 2009-2023 % 0.15/0.59 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.15/0.59 Amanda Stjerna. % 0.15/0.59 Free software under BSD-3-Clause. % 0.15/0.59 % 0.15/0.59 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.15/0.59 % 0.15/0.59 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.15/0.60 Running up to 7 provers in parallel. % 0.15/0.62 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.15/0.62 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.15/0.62 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.15/0.62 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.15/0.62 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.15/0.62 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.15/0.62 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.46/1.13 Prover 4: Preprocessing ... % 2.46/1.13 Prover 1: Preprocessing ... % 3.00/1.18 Prover 3: Preprocessing ... % 3.00/1.18 Prover 6: Preprocessing ... % 3.00/1.18 Prover 5: Preprocessing ... % 3.00/1.18 Prover 0: Preprocessing ... % 3.00/1.18 Prover 2: Preprocessing ... % 7.76/1.91 Prover 5: Proving ... % 8.18/1.97 Prover 2: Proving ... % 8.18/2.00 Prover 6: Proving ... % 8.18/2.01 Prover 3: Constructing countermodel ... % 8.18/2.02 Prover 1: Constructing countermodel ... % 10.80/2.29 Prover 4: Constructing countermodel ... % 11.53/2.42 Prover 0: Proving ... % 13.71/2.73 Prover 3: proved (2116ms) % 13.71/2.73 % 13.71/2.73 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 13.71/2.73 % 13.71/2.73 Prover 6: stopped % 13.71/2.73 Prover 5: stopped % 13.71/2.73 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 13.71/2.73 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 13.71/2.73 Prover 0: stopped % 13.71/2.74 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 13.71/2.75 Prover 2: stopped % 13.71/2.75 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 13.71/2.76 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 14.43/2.80 Prover 8: Preprocessing ... % 14.43/2.80 Prover 7: Preprocessing ... % 14.43/2.81 Prover 10: Preprocessing ... % 14.68/2.83 Prover 13: Preprocessing ... % 14.79/2.83 Prover 11: Preprocessing ... % 14.79/2.91 Prover 7: Warning: ignoring some quantifiers % 15.41/2.94 Prover 7: Constructing countermodel ... % 15.94/2.99 Prover 13: Warning: ignoring some quantifiers % 15.94/2.99 Prover 10: Warning: ignoring some quantifiers % 15.94/3.02 Prover 13: Constructing countermodel ... % 15.94/3.02 Prover 10: Constructing countermodel ... % 16.74/3.10 Prover 10: gave up % 16.74/3.11 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 16.74/3.11 Prover 7: gave up % 16.99/3.13 Prover 8: Warning: ignoring some quantifiers % 16.99/3.13 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 16.99/3.14 Prover 8: Constructing countermodel ... % 16.99/3.19 Prover 19: Preprocessing ... % 16.99/3.20 Prover 16: Preprocessing ... % 17.18/3.32 Prover 11: Constructing countermodel ... % 17.18/3.35 Prover 16: Warning: ignoring some quantifiers % 17.18/3.37 Prover 16: Constructing countermodel ... % 19.52/3.47 Prover 1: Found proof (size 173) % 19.52/3.47 Prover 1: proved (2861ms) % 19.52/3.47 Prover 4: stopped % 19.52/3.47 Prover 8: stopped % 19.52/3.47 Prover 11: stopped % 19.52/3.47 Prover 16: stopped % 19.52/3.47 Prover 13: stopped % 19.90/3.56 Prover 19: Warning: ignoring some quantifiers % 19.90/3.58 Prover 19: Constructing countermodel ... % 19.90/3.59 Prover 19: stopped % 19.90/3.59 % 19.90/3.59 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 19.90/3.59 % 19.90/3.61 % SZS output start Proof for theBenchmark % 19.90/3.61 Assumptions after simplification: % 19.90/3.61 --------------------------------- % 19.90/3.61 % 19.90/3.61 (equivalence) % 20.27/3.67 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (equivalence(v1, v0) = % 20.27/3.67 v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? % 20.27/3.67 [v6: int] : ( ~ (v6 = 0) & apply(v1, v4, v5) = 0 & apply(v1, v3, v5) = v6 & % 20.27/3.67 apply(v1, v3, v4) = 0 & member(v5, v0) = 0 & member(v4, v0) = 0 & % 20.27/3.67 member(v3, v0) = 0 & $i(v5) & $i(v4) & $i(v3)) | ? [v3: $i] : ? [v4: $i] % 20.27/3.67 : ? [v5: int] : ( ~ (v5 = 0) & apply(v1, v4, v3) = v5 & apply(v1, v3, v4) = % 20.27/3.67 0 & member(v4, v0) = 0 & member(v3, v0) = 0 & $i(v4) & $i(v3)) | ? [v3: % 20.27/3.67 $i] : ? [v4: int] : ( ~ (v4 = 0) & apply(v1, v3, v3) = v4 & member(v3, % 20.27/3.67 v0) = 0 & $i(v3))) & ! [v0: $i] : ! [v1: $i] : ( ~ (equivalence(v1, % 20.27/3.67 v0) = 0) | ~ $i(v1) | ~ $i(v0) | ( ! [v2: $i] : ! [v3: $i] : ! [v4: % 20.27/3.67 $i] : ! [v5: int] : (v5 = 0 | ~ (apply(v1, v2, v4) = v5) | ~ % 20.27/3.67 (apply(v1, v2, v3) = 0) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ? [v6: % 20.27/3.67 any] : ? [v7: any] : ? [v8: any] : ? [v9: any] : (apply(v1, v3, v4) % 20.27/3.67 = v9 & member(v4, v0) = v8 & member(v3, v0) = v7 & member(v2, v0) = v6 % 20.27/3.67 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0)))) & ! [v2: % 20.27/3.67 $i] : ! [v3: int] : (v3 = 0 | ~ (apply(v1, v2, v2) = v3) | ~ $i(v2) | % 20.27/3.67 ? [v4: int] : ( ~ (v4 = 0) & member(v2, v0) = v4)) & ! [v2: $i] : ! % 20.27/3.67 [v3: $i] : ( ~ (apply(v1, v2, v3) = 0) | ~ $i(v3) | ~ $i(v2) | ? [v4: % 20.27/3.67 any] : ? [v5: any] : ? [v6: any] : (apply(v1, v3, v2) = v6 & % 20.27/3.67 member(v3, v0) = v5 & member(v2, v0) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0) % 20.27/3.67 | v6 = 0))))) % 20.27/3.67 % 20.27/3.67 (partition) % 20.49/3.68 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (partition(v0, v1) = % 20.49/3.68 v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: $i] : ( ~ (v4 = v3) & % 20.49/3.68 member(v4, v0) = 0 & member(v3, v0) = 0 & $i(v4) & $i(v3) & ? [v5: $i] : % 20.49/3.68 (member(v5, v4) = 0 & member(v5, v3) = 0 & $i(v5))) | ? [v3: $i] : ? % 20.49/3.68 [v4: int] : ( ~ (v4 = 0) & subset(v3, v1) = v4 & member(v3, v0) = 0 & % 20.49/3.68 $i(v3)) | ? [v3: $i] : (member(v3, v1) = 0 & $i(v3) & ! [v4: $i] : ( ~ % 20.49/3.68 (member(v3, v4) = 0) | ~ $i(v4) | ? [v5: int] : ( ~ (v5 = 0) & % 20.49/3.68 member(v4, v0) = v5)))) & ! [v0: $i] : ! [v1: $i] : ( ~ % 20.49/3.68 (partition(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ( ! [v2: $i] : ! [v3: $i] % 20.49/3.68 : (v3 = v2 | ~ (member(v3, v0) = 0) | ~ (member(v2, v0) = 0) | ~ $i(v3) % 20.49/3.68 | ~ $i(v2) | ! [v4: $i] : ( ~ (member(v4, v2) = 0) | ~ $i(v4) | ? % 20.49/3.68 [v5: int] : ( ~ (v5 = 0) & member(v4, v3) = v5))) & ! [v2: $i] : ! % 20.49/3.68 [v3: int] : (v3 = 0 | ~ (subset(v2, v1) = v3) | ~ $i(v2) | ? [v4: int] % 20.49/3.68 : ( ~ (v4 = 0) & member(v2, v0) = v4)) & ! [v2: $i] : ( ~ (member(v2, % 20.49/3.68 v1) = 0) | ~ $i(v2) | ? [v3: $i] : (member(v3, v0) = 0 & % 20.49/3.68 member(v2, v3) = 0 & $i(v3))))) % 20.49/3.68 % 20.49/3.68 (thIII08) % 20.49/3.69 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: int] : ( ~ (v3 = 0) & % 20.49/3.69 equivalence(v2, v1) = v3 & partition(v0, v1) = 0 & $i(v2) & $i(v1) & $i(v0) % 20.49/3.69 & ! [v4: $i] : ! [v5: $i] : ! [v6: any] : ( ~ (apply(v2, v4, v5) = v6) | % 20.49/3.69 ~ $i(v5) | ~ $i(v4) | ? [v7: any] : ? [v8: any] : (member(v5, v1) = v8 % 20.49/3.69 & member(v4, v1) = v7 & ( ~ (v8 = 0) | ~ (v7 = 0))) | (( ~ (v6 = 0) | % 20.49/3.69 ? [v7: $i] : (member(v7, v0) = 0 & member(v5, v7) = 0 & member(v4, v7) % 20.49/3.69 = 0 & $i(v7))) & (v6 = 0 | ! [v7: $i] : ( ~ (member(v4, v7) = 0) | % 20.49/3.69 ~ $i(v7) | ? [v8: any] : ? [v9: any] : (member(v7, v0) = v8 & % 20.49/3.69 member(v5, v7) = v9 & ( ~ (v9 = 0) | ~ (v8 = 0)))))))) % 20.49/3.69 % 20.49/3.69 (function-axioms) % 20.49/3.70 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 % 20.49/3.70 | ~ (equivalence_class(v4, v3, v2) = v1) | ~ (equivalence_class(v4, v3, % 20.49/3.70 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 20.49/3.70 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (apply(v4, v3, v2) = % 20.49/3.70 v1) | ~ (apply(v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 20.49/3.70 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 20.49/3.70 (pre_order(v3, v2) = v1) | ~ (pre_order(v3, v2) = v0)) & ! [v0: % 20.49/3.70 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 20.49/3.70 : (v1 = v0 | ~ (equivalence(v3, v2) = v1) | ~ (equivalence(v3, v2) = v0)) & % 20.49/3.70 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: % 20.49/3.70 $i] : (v1 = v0 | ~ (partition(v3, v2) = v1) | ~ (partition(v3, v2) = v0)) % 20.49/3.70 & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 20.49/3.70 [v3: $i] : (v1 = v0 | ~ (disjoint(v3, v2) = v1) | ~ (disjoint(v3, v2) = v0)) % 20.49/3.70 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 20.49/3.70 (unordered_pair(v3, v2) = v1) | ~ (unordered_pair(v3, v2) = v0)) & ! [v0: % 20.49/3.70 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 20.49/3.70 (difference(v3, v2) = v1) | ~ (difference(v3, v2) = v0)) & ! [v0: $i] : ! % 20.49/3.70 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (union(v3, v2) = v1) | ~ % 20.49/3.70 (union(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 20.49/3.70 $i] : (v1 = v0 | ~ (intersection(v3, v2) = v1) | ~ (intersection(v3, v2) = % 20.49/3.70 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 20.49/3.70 $i] : ! [v3: $i] : (v1 = v0 | ~ (equal_set(v3, v2) = v1) | ~ % 20.49/3.70 (equal_set(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 20.49/3.70 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (subset(v3, % 20.49/3.70 v2) = v1) | ~ (subset(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! % 20.49/3.70 [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 20.49/3.70 (member(v3, v2) = v1) | ~ (member(v3, v2) = v0)) & ! [v0: $i] : ! [v1: % 20.49/3.70 $i] : ! [v2: $i] : (v1 = v0 | ~ (product(v2) = v1) | ~ (product(v2) = % 20.49/3.70 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (sum(v2) = % 20.49/3.70 v1) | ~ (sum(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = % 20.49/3.70 v0 | ~ (singleton(v2) = v1) | ~ (singleton(v2) = v0)) & ! [v0: $i] : ! % 20.49/3.70 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (power_set(v2) = v1) | ~ % 20.49/3.70 (power_set(v2) = v0)) % 20.49/3.70 % 20.49/3.70 Further assumptions not needed in the proof: % 20.49/3.70 -------------------------------------------- % 20.49/3.70 difference, disjoint, empty_set, equal_set, equivalence_class, intersection, % 20.49/3.70 power_set, pre_order, product, singleton, subset, sum, union, unordered_pair % 20.49/3.70 % 20.49/3.70 Those formulas are unsatisfiable: % 20.49/3.70 --------------------------------- % 20.49/3.70 % 20.49/3.70 Begin of proof % 20.49/3.71 | % 20.49/3.71 | ALPHA: (partition) implies: % 20.49/3.71 | (1) ! [v0: $i] : ! [v1: $i] : ( ~ (partition(v0, v1) = 0) | ~ $i(v1) | % 20.49/3.71 | ~ $i(v0) | ( ! [v2: $i] : ! [v3: $i] : (v3 = v2 | ~ (member(v3, v0) % 20.49/3.71 | = 0) | ~ (member(v2, v0) = 0) | ~ $i(v3) | ~ $i(v2) | ! % 20.49/3.71 | [v4: $i] : ( ~ (member(v4, v2) = 0) | ~ $i(v4) | ? [v5: int] : % 20.49/3.71 | ( ~ (v5 = 0) & member(v4, v3) = v5))) & ! [v2: $i] : ! [v3: % 20.49/3.71 | int] : (v3 = 0 | ~ (subset(v2, v1) = v3) | ~ $i(v2) | ? [v4: % 20.49/3.71 | int] : ( ~ (v4 = 0) & member(v2, v0) = v4)) & ! [v2: $i] : ( ~ % 20.49/3.71 | (member(v2, v1) = 0) | ~ $i(v2) | ? [v3: $i] : (member(v3, v0) % 20.49/3.71 | = 0 & member(v2, v3) = 0 & $i(v3))))) % 20.49/3.71 | % 20.49/3.71 | ALPHA: (equivalence) implies: % 20.49/3.72 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ % 20.49/3.72 | (equivalence(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? % 20.49/3.72 | [v4: $i] : ? [v5: $i] : ? [v6: int] : ( ~ (v6 = 0) & apply(v1, v4, % 20.49/3.72 | v5) = 0 & apply(v1, v3, v5) = v6 & apply(v1, v3, v4) = 0 & % 20.49/3.72 | member(v5, v0) = 0 & member(v4, v0) = 0 & member(v3, v0) = 0 & % 20.49/3.72 | $i(v5) & $i(v4) & $i(v3)) | ? [v3: $i] : ? [v4: $i] : ? [v5: % 20.49/3.72 | int] : ( ~ (v5 = 0) & apply(v1, v4, v3) = v5 & apply(v1, v3, v4) = % 20.49/3.72 | 0 & member(v4, v0) = 0 & member(v3, v0) = 0 & $i(v4) & $i(v3)) | ? % 20.49/3.72 | [v3: $i] : ? [v4: int] : ( ~ (v4 = 0) & apply(v1, v3, v3) = v4 & % 20.49/3.72 | member(v3, v0) = 0 & $i(v3))) % 20.49/3.72 | % 20.49/3.72 | ALPHA: (function-axioms) implies: % 20.49/3.72 | (3) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 20.49/3.72 | ! [v3: $i] : (v1 = v0 | ~ (member(v3, v2) = v1) | ~ (member(v3, v2) % 20.49/3.72 | = v0)) % 20.49/3.72 | % 20.49/3.72 | DELTA: instantiating (thIII08) with fresh symbols all_20_0, all_20_1, % 20.49/3.72 | all_20_2, all_20_3 gives: % 20.49/3.72 | (4) ~ (all_20_0 = 0) & equivalence(all_20_1, all_20_2) = all_20_0 & % 20.49/3.72 | partition(all_20_3, all_20_2) = 0 & $i(all_20_1) & $i(all_20_2) & % 20.49/3.72 | $i(all_20_3) & ! [v0: $i] : ! [v1: $i] : ! [v2: any] : ( ~ % 20.49/3.72 | (apply(all_20_1, v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] % 20.49/3.72 | : ? [v4: any] : (member(v1, all_20_2) = v4 & member(v0, all_20_2) = % 20.49/3.72 | v3 & ( ~ (v4 = 0) | ~ (v3 = 0))) | (( ~ (v2 = 0) | ? [v3: $i] : % 20.49/3.72 | (member(v3, all_20_3) = 0 & member(v1, v3) = 0 & member(v0, v3) = % 20.49/3.72 | 0 & $i(v3))) & (v2 = 0 | ! [v3: $i] : ( ~ (member(v0, v3) = 0) % 20.49/3.72 | | ~ $i(v3) | ? [v4: any] : ? [v5: any] : (member(v3, % 20.49/3.72 | all_20_3) = v4 & member(v1, v3) = v5 & ( ~ (v5 = 0) | ~ % 20.49/3.72 | (v4 = 0))))))) % 20.49/3.72 | % 20.49/3.72 | ALPHA: (4) implies: % 20.49/3.72 | (5) ~ (all_20_0 = 0) % 20.49/3.73 | (6) $i(all_20_3) % 20.49/3.73 | (7) $i(all_20_2) % 20.49/3.73 | (8) $i(all_20_1) % 20.49/3.73 | (9) partition(all_20_3, all_20_2) = 0 % 20.49/3.73 | (10) equivalence(all_20_1, all_20_2) = all_20_0 % 20.49/3.73 | (11) ! [v0: $i] : ! [v1: $i] : ! [v2: any] : ( ~ (apply(all_20_1, v0, % 20.49/3.73 | v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] % 20.49/3.73 | : (member(v1, all_20_2) = v4 & member(v0, all_20_2) = v3 & ( ~ (v4 = % 20.49/3.73 | 0) | ~ (v3 = 0))) | (( ~ (v2 = 0) | ? [v3: $i] : (member(v3, % 20.49/3.73 | all_20_3) = 0 & member(v1, v3) = 0 & member(v0, v3) = 0 & % 20.49/3.73 | $i(v3))) & (v2 = 0 | ! [v3: $i] : ( ~ (member(v0, v3) = 0) | % 20.49/3.73 | ~ $i(v3) | ? [v4: any] : ? [v5: any] : (member(v3, all_20_3) % 20.49/3.73 | = v4 & member(v1, v3) = v5 & ( ~ (v5 = 0) | ~ (v4 = % 20.49/3.73 | 0))))))) % 20.49/3.73 | % 20.49/3.73 | GROUND_INST: instantiating (1) with all_20_3, all_20_2, simplifying with (6), % 20.49/3.73 | (7), (9) gives: % 20.49/3.74 | (12) ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ (member(v1, all_20_3) = 0) | % 20.49/3.74 | ~ (member(v0, all_20_3) = 0) | ~ $i(v1) | ~ $i(v0) | ! [v2: $i] % 20.49/3.74 | : ( ~ (member(v2, v0) = 0) | ~ $i(v2) | ? [v3: int] : ( ~ (v3 = 0) % 20.49/3.74 | & member(v2, v1) = v3))) & ! [v0: $i] : ! [v1: int] : (v1 = 0 % 20.49/3.74 | | ~ (subset(v0, all_20_2) = v1) | ~ $i(v0) | ? [v2: int] : ( ~ % 20.49/3.74 | (v2 = 0) & member(v0, all_20_3) = v2)) & ! [v0: $i] : ( ~ % 20.49/3.74 | (member(v0, all_20_2) = 0) | ~ $i(v0) | ? [v1: $i] : (member(v1, % 20.49/3.74 | all_20_3) = 0 & member(v0, v1) = 0 & $i(v1))) % 20.49/3.74 | % 20.49/3.74 | ALPHA: (12) implies: % 20.49/3.74 | (13) ! [v0: $i] : ( ~ (member(v0, all_20_2) = 0) | ~ $i(v0) | ? [v1: $i] % 20.49/3.74 | : (member(v1, all_20_3) = 0 & member(v0, v1) = 0 & $i(v1))) % 20.49/3.74 | (14) ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ (member(v1, all_20_3) = 0) | % 20.49/3.74 | ~ (member(v0, all_20_3) = 0) | ~ $i(v1) | ~ $i(v0) | ! [v2: $i] % 20.82/3.74 | : ( ~ (member(v2, v0) = 0) | ~ $i(v2) | ? [v3: int] : ( ~ (v3 = 0) % 20.82/3.74 | & member(v2, v1) = v3))) % 20.82/3.74 | % 20.82/3.74 | GROUND_INST: instantiating (2) with all_20_2, all_20_1, all_20_0, simplifying % 20.82/3.74 | with (7), (8), (10) gives: % 20.82/3.74 | (15) all_20_0 = 0 | ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: int] % 20.82/3.74 | : ( ~ (v3 = 0) & apply(all_20_1, v1, v2) = 0 & apply(all_20_1, v0, v2) % 20.82/3.74 | = v3 & apply(all_20_1, v0, v1) = 0 & member(v2, all_20_2) = 0 & % 20.82/3.74 | member(v1, all_20_2) = 0 & member(v0, all_20_2) = 0 & $i(v2) & % 20.82/3.74 | $i(v1) & $i(v0)) | ? [v0: $i] : ? [v1: $i] : ? [v2: int] : ( ~ % 20.82/3.74 | (v2 = 0) & apply(all_20_1, v1, v0) = v2 & apply(all_20_1, v0, v1) = % 20.82/3.74 | 0 & member(v1, all_20_2) = 0 & member(v0, all_20_2) = 0 & $i(v1) & % 20.82/3.74 | $i(v0)) | ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & % 20.82/3.74 | apply(all_20_1, v0, v0) = v1 & member(v0, all_20_2) = 0 & $i(v0)) % 20.82/3.74 | % 20.82/3.75 | BETA: splitting (15) gives: % 20.82/3.75 | % 20.82/3.75 | Case 1: % 20.82/3.75 | | % 20.82/3.75 | | (16) all_20_0 = 0 % 20.82/3.75 | | % 20.82/3.75 | | REDUCE: (5), (16) imply: % 20.82/3.75 | | (17) $false % 20.82/3.75 | | % 20.82/3.75 | | CLOSE: (17) is inconsistent. % 20.82/3.75 | | % 20.82/3.75 | Case 2: % 20.82/3.75 | | % 20.82/3.75 | | (18) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: int] : ( ~ (v3 = % 20.82/3.75 | | 0) & apply(all_20_1, v1, v2) = 0 & apply(all_20_1, v0, v2) = v3 % 20.82/3.75 | | & apply(all_20_1, v0, v1) = 0 & member(v2, all_20_2) = 0 & % 20.82/3.75 | | member(v1, all_20_2) = 0 & member(v0, all_20_2) = 0 & $i(v2) & % 20.82/3.75 | | $i(v1) & $i(v0)) | ? [v0: $i] : ? [v1: $i] : ? [v2: int] : ( ~ % 20.82/3.75 | | (v2 = 0) & apply(all_20_1, v1, v0) = v2 & apply(all_20_1, v0, v1) % 20.82/3.75 | | = 0 & member(v1, all_20_2) = 0 & member(v0, all_20_2) = 0 & $i(v1) % 20.82/3.75 | | & $i(v0)) | ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & % 20.82/3.75 | | apply(all_20_1, v0, v0) = v1 & member(v0, all_20_2) = 0 & $i(v0)) % 20.82/3.75 | | % 20.82/3.75 | | BETA: splitting (18) gives: % 20.82/3.75 | | % 20.82/3.75 | | Case 1: % 20.82/3.75 | | | % 20.82/3.75 | | | (19) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: int] : ( ~ (v3 = % 20.82/3.75 | | | 0) & apply(all_20_1, v1, v2) = 0 & apply(all_20_1, v0, v2) = % 20.82/3.75 | | | v3 & apply(all_20_1, v0, v1) = 0 & member(v2, all_20_2) = 0 & % 20.82/3.75 | | | member(v1, all_20_2) = 0 & member(v0, all_20_2) = 0 & $i(v2) & % 20.82/3.75 | | | $i(v1) & $i(v0)) % 20.82/3.75 | | | % 20.82/3.75 | | | DELTA: instantiating (19) with fresh symbols all_39_0, all_39_1, all_39_2, % 20.82/3.75 | | | all_39_3 gives: % 20.82/3.76 | | | (20) ~ (all_39_0 = 0) & apply(all_20_1, all_39_2, all_39_1) = 0 & % 20.82/3.76 | | | apply(all_20_1, all_39_3, all_39_1) = all_39_0 & apply(all_20_1, % 20.82/3.76 | | | all_39_3, all_39_2) = 0 & member(all_39_1, all_20_2) = 0 & % 20.82/3.76 | | | member(all_39_2, all_20_2) = 0 & member(all_39_3, all_20_2) = 0 & % 20.82/3.76 | | | $i(all_39_1) & $i(all_39_2) & $i(all_39_3) % 20.82/3.76 | | | % 20.82/3.76 | | | ALPHA: (20) implies: % 20.82/3.76 | | | (21) ~ (all_39_0 = 0) % 20.82/3.76 | | | (22) $i(all_39_3) % 20.82/3.76 | | | (23) $i(all_39_2) % 20.82/3.76 | | | (24) $i(all_39_1) % 20.82/3.76 | | | (25) member(all_39_3, all_20_2) = 0 % 20.82/3.76 | | | (26) member(all_39_2, all_20_2) = 0 % 20.82/3.76 | | | (27) member(all_39_1, all_20_2) = 0 % 20.82/3.76 | | | (28) apply(all_20_1, all_39_3, all_39_2) = 0 % 20.82/3.76 | | | (29) apply(all_20_1, all_39_3, all_39_1) = all_39_0 % 20.82/3.76 | | | (30) apply(all_20_1, all_39_2, all_39_1) = 0 % 20.82/3.76 | | | % 20.82/3.76 | | | GROUND_INST: instantiating (11) with all_39_3, all_39_2, 0, simplifying % 20.82/3.76 | | | with (22), (23), (28) gives: % 20.82/3.76 | | | (31) ? [v0: any] : ? [v1: any] : (member(all_39_2, all_20_2) = v1 & % 20.82/3.76 | | | member(all_39_3, all_20_2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) | % 20.82/3.76 | | | ? [v0: $i] : (member(v0, all_20_3) = 0 & member(all_39_2, v0) = 0 % 20.82/3.76 | | | & member(all_39_3, v0) = 0 & $i(v0)) % 20.82/3.76 | | | % 20.82/3.76 | | | GROUND_INST: instantiating (11) with all_39_3, all_39_1, all_39_0, % 20.82/3.76 | | | simplifying with (22), (24), (29) gives: % 20.94/3.77 | | | (32) ? [v0: any] : ? [v1: any] : (member(all_39_1, all_20_2) = v1 & % 20.94/3.77 | | | member(all_39_3, all_20_2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) | % 20.94/3.77 | | | (( ~ (all_39_0 = 0) | ? [v0: $i] : (member(v0, all_20_3) = 0 & % 20.94/3.77 | | | member(all_39_1, v0) = 0 & member(all_39_3, v0) = 0 & % 20.94/3.77 | | | $i(v0))) & (all_39_0 = 0 | ! [v0: $i] : ( ~ % 20.94/3.77 | | | (member(all_39_3, v0) = 0) | ~ $i(v0) | ? [v1: any] : ? % 20.94/3.77 | | | [v2: any] : (member(v0, all_20_3) = v1 & member(all_39_1, % 20.94/3.77 | | | v0) = v2 & ( ~ (v2 = 0) | ~ (v1 = 0)))))) % 20.94/3.77 | | | % 20.94/3.77 | | | GROUND_INST: instantiating (11) with all_39_2, all_39_1, 0, simplifying % 20.94/3.77 | | | with (23), (24), (30) gives: % 20.94/3.77 | | | (33) ? [v0: any] : ? [v1: any] : (member(all_39_1, all_20_2) = v1 & % 20.94/3.77 | | | member(all_39_2, all_20_2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) | % 20.94/3.77 | | | ? [v0: $i] : (member(v0, all_20_3) = 0 & member(all_39_1, v0) = 0 % 20.94/3.77 | | | & member(all_39_2, v0) = 0 & $i(v0)) % 20.94/3.77 | | | % 20.94/3.77 | | | BETA: splitting (32) gives: % 20.94/3.77 | | | % 20.94/3.77 | | | Case 1: % 20.94/3.77 | | | | % 20.94/3.77 | | | | (34) ? [v0: any] : ? [v1: any] : (member(all_39_1, all_20_2) = v1 & % 20.94/3.77 | | | | member(all_39_3, all_20_2) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 20.94/3.77 | | | | % 20.94/3.77 | | | | DELTA: instantiating (34) with fresh symbols all_55_0, all_55_1 gives: % 20.94/3.77 | | | | (35) member(all_39_1, all_20_2) = all_55_0 & member(all_39_3, % 20.94/3.77 | | | | all_20_2) = all_55_1 & ( ~ (all_55_0 = 0) | ~ (all_55_1 = 0)) % 20.94/3.77 | | | | % 20.94/3.77 | | | | ALPHA: (35) implies: % 20.94/3.77 | | | | (36) member(all_39_3, all_20_2) = all_55_1 % 20.94/3.77 | | | | (37) member(all_39_1, all_20_2) = all_55_0 % 20.94/3.77 | | | | (38) ~ (all_55_0 = 0) | ~ (all_55_1 = 0) % 20.94/3.77 | | | | % 20.94/3.77 | | | | GROUND_INST: instantiating (3) with 0, all_55_1, all_20_2, all_39_3, % 20.94/3.77 | | | | simplifying with (25), (36) gives: % 20.94/3.77 | | | | (39) all_55_1 = 0 % 20.94/3.77 | | | | % 20.94/3.77 | | | | GROUND_INST: instantiating (3) with 0, all_55_0, all_20_2, all_39_1, % 20.94/3.77 | | | | simplifying with (27), (37) gives: % 20.94/3.77 | | | | (40) all_55_0 = 0 % 20.94/3.77 | | | | % 20.94/3.77 | | | | BETA: splitting (38) gives: % 20.94/3.77 | | | | % 20.94/3.77 | | | | Case 1: % 20.94/3.77 | | | | | % 20.94/3.77 | | | | | (41) ~ (all_55_0 = 0) % 20.94/3.77 | | | | | % 20.94/3.77 | | | | | REDUCE: (40), (41) imply: % 20.94/3.77 | | | | | (42) $false % 20.94/3.77 | | | | | % 20.94/3.77 | | | | | CLOSE: (42) is inconsistent. % 20.94/3.77 | | | | | % 20.94/3.77 | | | | Case 2: % 20.94/3.77 | | | | | % 20.94/3.77 | | | | | (43) ~ (all_55_1 = 0) % 20.94/3.77 | | | | | % 20.94/3.77 | | | | | REDUCE: (39), (43) imply: % 20.94/3.77 | | | | | (44) $false % 20.94/3.77 | | | | | % 20.94/3.77 | | | | | CLOSE: (44) is inconsistent. % 20.94/3.77 | | | | | % 20.94/3.77 | | | | End of split % 20.94/3.77 | | | | % 20.94/3.77 | | | Case 2: % 20.94/3.77 | | | | % 20.94/3.78 | | | | (45) ( ~ (all_39_0 = 0) | ? [v0: $i] : (member(v0, all_20_3) = 0 & % 20.94/3.78 | | | | member(all_39_1, v0) = 0 & member(all_39_3, v0) = 0 & % 20.94/3.78 | | | | $i(v0))) & (all_39_0 = 0 | ! [v0: $i] : ( ~ % 20.94/3.78 | | | | (member(all_39_3, v0) = 0) | ~ $i(v0) | ? [v1: any] : ? % 20.94/3.78 | | | | [v2: any] : (member(v0, all_20_3) = v1 & member(all_39_1, % 20.94/3.78 | | | | v0) = v2 & ( ~ (v2 = 0) | ~ (v1 = 0))))) % 20.94/3.78 | | | | % 20.94/3.78 | | | | ALPHA: (45) implies: % 20.94/3.78 | | | | (46) all_39_0 = 0 | ! [v0: $i] : ( ~ (member(all_39_3, v0) = 0) | ~ % 20.94/3.78 | | | | $i(v0) | ? [v1: any] : ? [v2: any] : (member(v0, all_20_3) = % 20.94/3.78 | | | | v1 & member(all_39_1, v0) = v2 & ( ~ (v2 = 0) | ~ (v1 = % 20.94/3.78 | | | | 0)))) % 20.94/3.78 | | | | % 20.94/3.78 | | | | BETA: splitting (31) gives: % 20.94/3.78 | | | | % 20.94/3.78 | | | | Case 1: % 20.94/3.78 | | | | | % 20.94/3.78 | | | | | (47) ? [v0: any] : ? [v1: any] : (member(all_39_2, all_20_2) = v1 % 20.94/3.78 | | | | | & member(all_39_3, all_20_2) = v0 & ( ~ (v1 = 0) | ~ (v0 = % 20.94/3.78 | | | | | 0))) % 20.94/3.78 | | | | | % 20.94/3.78 | | | | | DELTA: instantiating (47) with fresh symbols all_56_0, all_56_1 gives: % 20.94/3.78 | | | | | (48) member(all_39_2, all_20_2) = all_56_0 & member(all_39_3, % 20.94/3.78 | | | | | all_20_2) = all_56_1 & ( ~ (all_56_0 = 0) | ~ (all_56_1 = % 20.94/3.78 | | | | | 0)) % 20.94/3.78 | | | | | % 20.94/3.78 | | | | | ALPHA: (48) implies: % 20.94/3.78 | | | | | (49) member(all_39_3, all_20_2) = all_56_1 % 20.94/3.78 | | | | | (50) member(all_39_2, all_20_2) = all_56_0 % 20.94/3.78 | | | | | (51) ~ (all_56_0 = 0) | ~ (all_56_1 = 0) % 20.94/3.78 | | | | | % 20.94/3.78 | | | | | GROUND_INST: instantiating (3) with 0, all_56_1, all_20_2, all_39_3, % 20.94/3.78 | | | | | simplifying with (25), (49) gives: % 20.94/3.78 | | | | | (52) all_56_1 = 0 % 20.94/3.78 | | | | | % 20.94/3.78 | | | | | GROUND_INST: instantiating (3) with 0, all_56_0, all_20_2, all_39_2, % 20.94/3.78 | | | | | simplifying with (26), (50) gives: % 20.94/3.78 | | | | | (53) all_56_0 = 0 % 20.94/3.78 | | | | | % 20.94/3.78 | | | | | BETA: splitting (51) gives: % 20.94/3.78 | | | | | % 20.94/3.78 | | | | | Case 1: % 20.94/3.78 | | | | | | % 20.94/3.78 | | | | | | (54) ~ (all_56_0 = 0) % 20.94/3.78 | | | | | | % 20.94/3.78 | | | | | | REDUCE: (53), (54) imply: % 20.94/3.78 | | | | | | (55) $false % 20.94/3.78 | | | | | | % 20.94/3.78 | | | | | | CLOSE: (55) is inconsistent. % 20.94/3.78 | | | | | | % 20.94/3.78 | | | | | Case 2: % 20.94/3.78 | | | | | | % 20.94/3.78 | | | | | | (56) ~ (all_56_1 = 0) % 20.94/3.78 | | | | | | % 20.94/3.78 | | | | | | REDUCE: (52), (56) imply: % 20.94/3.78 | | | | | | (57) $false % 20.94/3.78 | | | | | | % 20.94/3.78 | | | | | | CLOSE: (57) is inconsistent. % 20.94/3.78 | | | | | | % 20.94/3.78 | | | | | End of split % 20.94/3.78 | | | | | % 20.94/3.78 | | | | Case 2: % 20.94/3.78 | | | | | % 20.94/3.78 | | | | | (58) ? [v0: $i] : (member(v0, all_20_3) = 0 & member(all_39_2, v0) % 20.94/3.78 | | | | | = 0 & member(all_39_3, v0) = 0 & $i(v0)) % 20.94/3.78 | | | | | % 20.94/3.78 | | | | | DELTA: instantiating (58) with fresh symbol all_56_0 gives: % 20.94/3.78 | | | | | (59) member(all_56_0, all_20_3) = 0 & member(all_39_2, all_56_0) = % 20.94/3.78 | | | | | 0 & member(all_39_3, all_56_0) = 0 & $i(all_56_0) % 20.94/3.78 | | | | | % 20.94/3.78 | | | | | ALPHA: (59) implies: % 20.94/3.78 | | | | | (60) $i(all_56_0) % 20.94/3.79 | | | | | (61) member(all_39_3, all_56_0) = 0 % 20.94/3.79 | | | | | (62) member(all_39_2, all_56_0) = 0 % 20.94/3.79 | | | | | (63) member(all_56_0, all_20_3) = 0 % 20.94/3.79 | | | | | % 20.94/3.79 | | | | | BETA: splitting (33) gives: % 20.94/3.79 | | | | | % 20.94/3.79 | | | | | Case 1: % 20.94/3.79 | | | | | | % 20.94/3.79 | | | | | | (64) ? [v0: any] : ? [v1: any] : (member(all_39_1, all_20_2) = % 20.94/3.79 | | | | | | v1 & member(all_39_2, all_20_2) = v0 & ( ~ (v1 = 0) | ~ % 20.94/3.79 | | | | | | (v0 = 0))) % 20.94/3.79 | | | | | | % 20.94/3.79 | | | | | | DELTA: instantiating (64) with fresh symbols all_60_0, all_60_1 % 20.94/3.79 | | | | | | gives: % 20.94/3.79 | | | | | | (65) member(all_39_1, all_20_2) = all_60_0 & member(all_39_2, % 20.94/3.79 | | | | | | all_20_2) = all_60_1 & ( ~ (all_60_0 = 0) | ~ (all_60_1 = % 20.94/3.79 | | | | | | 0)) % 20.94/3.79 | | | | | | % 20.94/3.79 | | | | | | ALPHA: (65) implies: % 20.94/3.79 | | | | | | (66) member(all_39_2, all_20_2) = all_60_1 % 20.94/3.79 | | | | | | (67) member(all_39_1, all_20_2) = all_60_0 % 20.94/3.79 | | | | | | (68) ~ (all_60_0 = 0) | ~ (all_60_1 = 0) % 20.94/3.79 | | | | | | % 20.94/3.79 | | | | | | BETA: splitting (46) gives: % 20.94/3.79 | | | | | | % 20.94/3.79 | | | | | | Case 1: % 20.94/3.79 | | | | | | | % 20.94/3.79 | | | | | | | (69) all_39_0 = 0 % 20.94/3.79 | | | | | | | % 20.94/3.79 | | | | | | | REDUCE: (21), (69) imply: % 20.94/3.79 | | | | | | | (70) $false % 20.94/3.79 | | | | | | | % 20.94/3.79 | | | | | | | CLOSE: (70) is inconsistent. % 20.94/3.79 | | | | | | | % 20.94/3.79 | | | | | | Case 2: % 20.94/3.79 | | | | | | | % 20.94/3.79 | | | | | | | (71) ! [v0: $i] : ( ~ (member(all_39_3, v0) = 0) | ~ $i(v0) | % 20.94/3.79 | | | | | | | ? [v1: any] : ? [v2: any] : (member(v0, all_20_3) = v1 % 20.94/3.79 | | | | | | | & member(all_39_1, v0) = v2 & ( ~ (v2 = 0) | ~ (v1 = % 20.94/3.79 | | | | | | | 0)))) % 20.94/3.79 | | | | | | | % 20.94/3.79 | | | | | | | GROUND_INST: instantiating (71) with all_20_2, simplifying with % 20.94/3.79 | | | | | | | (7), (25) gives: % 20.94/3.79 | | | | | | | (72) ? [v0: any] : ? [v1: any] : (member(all_39_1, all_20_2) % 20.94/3.79 | | | | | | | = v1 & member(all_20_2, all_20_3) = v0 & ( ~ (v1 = 0) | % 20.94/3.79 | | | | | | | ~ (v0 = 0))) % 20.94/3.79 | | | | | | | % 20.94/3.79 | | | | | | | DELTA: instantiating (72) with fresh symbols all_67_0, all_67_1 % 20.94/3.79 | | | | | | | gives: % 20.94/3.79 | | | | | | | (73) member(all_39_1, all_20_2) = all_67_0 & member(all_20_2, % 20.94/3.79 | | | | | | | all_20_3) = all_67_1 & ( ~ (all_67_0 = 0) | ~ (all_67_1 % 20.94/3.79 | | | | | | | = 0)) % 20.94/3.79 | | | | | | | % 20.94/3.79 | | | | | | | ALPHA: (73) implies: % 20.94/3.79 | | | | | | | (74) member(all_39_1, all_20_2) = all_67_0 % 20.94/3.79 | | | | | | | % 20.94/3.79 | | | | | | | GROUND_INST: instantiating (3) with 0, all_60_1, all_20_2, % 20.94/3.79 | | | | | | | all_39_2, simplifying with (26), (66) gives: % 20.94/3.79 | | | | | | | (75) all_60_1 = 0 % 20.94/3.79 | | | | | | | % 20.94/3.79 | | | | | | | GROUND_INST: instantiating (3) with 0, all_67_0, all_20_2, % 20.94/3.79 | | | | | | | all_39_1, simplifying with (27), (74) gives: % 20.94/3.79 | | | | | | | (76) all_67_0 = 0 % 20.94/3.79 | | | | | | | % 20.94/3.79 | | | | | | | GROUND_INST: instantiating (3) with all_60_0, all_67_0, all_20_2, % 20.94/3.79 | | | | | | | all_39_1, simplifying with (67), (74) gives: % 20.94/3.79 | | | | | | | (77) all_67_0 = all_60_0 % 20.94/3.79 | | | | | | | % 20.94/3.79 | | | | | | | COMBINE_EQS: (76), (77) imply: % 20.94/3.79 | | | | | | | (78) all_60_0 = 0 % 20.94/3.79 | | | | | | | % 20.94/3.79 | | | | | | | BETA: splitting (68) gives: % 20.94/3.79 | | | | | | | % 20.94/3.79 | | | | | | | Case 1: % 20.94/3.79 | | | | | | | | % 20.94/3.79 | | | | | | | | (79) ~ (all_60_0 = 0) % 20.94/3.79 | | | | | | | | % 20.94/3.79 | | | | | | | | REDUCE: (78), (79) imply: % 20.94/3.79 | | | | | | | | (80) $false % 20.94/3.79 | | | | | | | | % 20.94/3.79 | | | | | | | | CLOSE: (80) is inconsistent. % 20.94/3.79 | | | | | | | | % 20.94/3.79 | | | | | | | Case 2: % 20.94/3.79 | | | | | | | | % 20.94/3.79 | | | | | | | | (81) ~ (all_60_1 = 0) % 20.94/3.79 | | | | | | | | % 20.94/3.80 | | | | | | | | REDUCE: (75), (81) imply: % 20.94/3.80 | | | | | | | | (82) $false % 20.94/3.80 | | | | | | | | % 20.94/3.80 | | | | | | | | CLOSE: (82) is inconsistent. % 20.94/3.80 | | | | | | | | % 20.94/3.80 | | | | | | | End of split % 20.94/3.80 | | | | | | | % 20.94/3.80 | | | | | | End of split % 20.94/3.80 | | | | | | % 20.94/3.80 | | | | | Case 2: % 20.94/3.80 | | | | | | % 20.94/3.80 | | | | | | (83) ? [v0: $i] : (member(v0, all_20_3) = 0 & member(all_39_1, % 20.94/3.80 | | | | | | v0) = 0 & member(all_39_2, v0) = 0 & $i(v0)) % 20.94/3.80 | | | | | | % 20.94/3.80 | | | | | | DELTA: instantiating (83) with fresh symbol all_60_0 gives: % 20.94/3.80 | | | | | | (84) member(all_60_0, all_20_3) = 0 & member(all_39_1, all_60_0) % 20.94/3.80 | | | | | | = 0 & member(all_39_2, all_60_0) = 0 & $i(all_60_0) % 20.94/3.80 | | | | | | % 20.94/3.80 | | | | | | ALPHA: (84) implies: % 20.94/3.80 | | | | | | (85) $i(all_60_0) % 20.94/3.80 | | | | | | (86) member(all_39_2, all_60_0) = 0 % 20.94/3.80 | | | | | | (87) member(all_39_1, all_60_0) = 0 % 20.94/3.80 | | | | | | (88) member(all_60_0, all_20_3) = 0 % 20.94/3.80 | | | | | | % 20.94/3.80 | | | | | | BETA: splitting (46) gives: % 20.94/3.80 | | | | | | % 20.94/3.80 | | | | | | Case 1: % 20.94/3.80 | | | | | | | % 20.94/3.80 | | | | | | | (89) all_39_0 = 0 % 20.94/3.80 | | | | | | | % 20.94/3.80 | | | | | | | REDUCE: (21), (89) imply: % 20.94/3.80 | | | | | | | (90) $false % 20.94/3.80 | | | | | | | % 20.94/3.80 | | | | | | | CLOSE: (90) is inconsistent. % 20.94/3.80 | | | | | | | % 20.94/3.80 | | | | | | Case 2: % 20.94/3.80 | | | | | | | % 20.94/3.80 | | | | | | | (91) ! [v0: $i] : ( ~ (member(all_39_3, v0) = 0) | ~ $i(v0) | % 20.94/3.80 | | | | | | | ? [v1: any] : ? [v2: any] : (member(v0, all_20_3) = v1 % 20.94/3.80 | | | | | | | & member(all_39_1, v0) = v2 & ( ~ (v2 = 0) | ~ (v1 = % 20.94/3.80 | | | | | | | 0)))) % 20.94/3.80 | | | | | | | % 20.94/3.80 | | | | | | | GROUND_INST: instantiating (91) with all_56_0, simplifying with % 20.94/3.80 | | | | | | | (60), (61) gives: % 20.94/3.80 | | | | | | | (92) ? [v0: any] : ? [v1: any] : (member(all_56_0, all_20_3) % 20.94/3.80 | | | | | | | = v0 & member(all_39_1, all_56_0) = v1 & ( ~ (v1 = 0) | % 20.94/3.80 | | | | | | | ~ (v0 = 0))) % 20.94/3.80 | | | | | | | % 20.94/3.80 | | | | | | | GROUND_INST: instantiating (14) with all_60_0, all_56_0, % 20.94/3.80 | | | | | | | simplifying with (60), (63), (85), (88) gives: % 20.94/3.80 | | | | | | | (93) all_60_0 = all_56_0 | ! [v0: $i] : ( ~ (member(v0, % 20.94/3.80 | | | | | | | all_60_0) = 0) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 % 20.94/3.80 | | | | | | | = 0) & member(v0, all_56_0) = v1)) % 20.94/3.80 | | | | | | | % 20.94/3.80 | | | | | | | DELTA: instantiating (92) with fresh symbols all_82_0, all_82_1 % 20.94/3.80 | | | | | | | gives: % 20.94/3.80 | | | | | | | (94) member(all_56_0, all_20_3) = all_82_1 & member(all_39_1, % 20.94/3.80 | | | | | | | all_56_0) = all_82_0 & ( ~ (all_82_0 = 0) | ~ (all_82_1 % 20.94/3.80 | | | | | | | = 0)) % 20.94/3.80 | | | | | | | % 20.94/3.80 | | | | | | | ALPHA: (94) implies: % 20.94/3.80 | | | | | | | (95) member(all_39_1, all_56_0) = all_82_0 % 20.94/3.80 | | | | | | | (96) member(all_56_0, all_20_3) = all_82_1 % 20.94/3.80 | | | | | | | (97) ~ (all_82_0 = 0) | ~ (all_82_1 = 0) % 20.94/3.80 | | | | | | | % 20.94/3.80 | | | | | | | GROUND_INST: instantiating (3) with 0, all_82_1, all_20_3, % 20.94/3.80 | | | | | | | all_56_0, simplifying with (63), (96) gives: % 20.94/3.80 | | | | | | | (98) all_82_1 = 0 % 20.94/3.80 | | | | | | | % 20.94/3.80 | | | | | | | BETA: splitting (97) gives: % 20.94/3.80 | | | | | | | % 20.94/3.80 | | | | | | | Case 1: % 20.94/3.80 | | | | | | | | % 20.94/3.80 | | | | | | | | (99) ~ (all_82_0 = 0) % 20.94/3.80 | | | | | | | | % 20.94/3.80 | | | | | | | | BETA: splitting (93) gives: % 20.94/3.80 | | | | | | | | % 20.94/3.80 | | | | | | | | Case 1: % 20.94/3.80 | | | | | | | | | % 20.94/3.80 | | | | | | | | | (100) all_60_0 = all_56_0 % 20.94/3.80 | | | | | | | | | % 20.94/3.81 | | | | | | | | | REDUCE: (87), (100) imply: % 20.94/3.81 | | | | | | | | | (101) member(all_39_1, all_56_0) = 0 % 20.94/3.81 | | | | | | | | | % 20.94/3.81 | | | | | | | | | GROUND_INST: instantiating (3) with all_82_0, 0, all_56_0, % 20.94/3.81 | | | | | | | | | all_39_1, simplifying with (95), (101) gives: % 20.94/3.81 | | | | | | | | | (102) all_82_0 = 0 % 20.94/3.81 | | | | | | | | | % 20.94/3.81 | | | | | | | | | REDUCE: (99), (102) imply: % 20.94/3.81 | | | | | | | | | (103) $false % 20.94/3.81 | | | | | | | | | % 20.94/3.81 | | | | | | | | | CLOSE: (103) is inconsistent. % 20.94/3.81 | | | | | | | | | % 20.94/3.81 | | | | | | | | Case 2: % 20.94/3.81 | | | | | | | | | % 20.94/3.81 | | | | | | | | | (104) ! [v0: $i] : ( ~ (member(v0, all_60_0) = 0) | ~ % 20.94/3.81 | | | | | | | | | $i(v0) | ? [v1: int] : ( ~ (v1 = 0) & member(v0, % 20.94/3.81 | | | | | | | | | all_56_0) = v1)) % 20.94/3.81 | | | | | | | | | % 20.94/3.81 | | | | | | | | | GROUND_INST: instantiating (104) with all_39_2, simplifying % 20.94/3.81 | | | | | | | | | with (23), (86) gives: % 20.94/3.81 | | | | | | | | | (105) ? [v0: int] : ( ~ (v0 = 0) & member(all_39_2, % 20.94/3.81 | | | | | | | | | all_56_0) = v0) % 20.94/3.81 | | | | | | | | | % 20.94/3.81 | | | | | | | | | DELTA: instantiating (105) with fresh symbol all_138_0 gives: % 20.94/3.81 | | | | | | | | | (106) ~ (all_138_0 = 0) & member(all_39_2, all_56_0) = % 20.94/3.81 | | | | | | | | | all_138_0 % 20.94/3.81 | | | | | | | | | % 20.94/3.81 | | | | | | | | | ALPHA: (106) implies: % 20.94/3.81 | | | | | | | | | (107) ~ (all_138_0 = 0) % 20.94/3.81 | | | | | | | | | (108) member(all_39_2, all_56_0) = all_138_0 % 20.94/3.81 | | | | | | | | | % 20.94/3.81 | | | | | | | | | GROUND_INST: instantiating (3) with 0, all_138_0, all_56_0, % 20.94/3.81 | | | | | | | | | all_39_2, simplifying with (62), (108) gives: % 20.94/3.81 | | | | | | | | | (109) all_138_0 = 0 % 20.94/3.81 | | | | | | | | | % 20.94/3.81 | | | | | | | | | REDUCE: (107), (109) imply: % 20.94/3.81 | | | | | | | | | (110) $false % 20.94/3.81 | | | | | | | | | % 20.94/3.81 | | | | | | | | | CLOSE: (110) is inconsistent. % 20.94/3.81 | | | | | | | | | % 20.94/3.81 | | | | | | | | End of split % 20.94/3.81 | | | | | | | | % 20.94/3.81 | | | | | | | Case 2: % 20.94/3.81 | | | | | | | | % 20.94/3.81 | | | | | | | | (111) ~ (all_82_1 = 0) % 20.94/3.81 | | | | | | | | % 20.94/3.81 | | | | | | | | REDUCE: (98), (111) imply: % 20.94/3.81 | | | | | | | | (112) $false % 20.94/3.81 | | | | | | | | % 20.94/3.81 | | | | | | | | CLOSE: (112) is inconsistent. % 20.94/3.81 | | | | | | | | % 20.94/3.81 | | | | | | | End of split % 20.94/3.81 | | | | | | | % 20.94/3.81 | | | | | | End of split % 20.94/3.81 | | | | | | % 20.94/3.81 | | | | | End of split % 20.94/3.81 | | | | | % 20.94/3.81 | | | | End of split % 20.94/3.81 | | | | % 20.94/3.81 | | | End of split % 20.94/3.81 | | | % 20.94/3.81 | | Case 2: % 20.94/3.81 | | | % 20.94/3.81 | | | (113) ? [v0: $i] : ? [v1: $i] : ? [v2: int] : ( ~ (v2 = 0) & % 20.94/3.81 | | | apply(all_20_1, v1, v0) = v2 & apply(all_20_1, v0, v1) = 0 & % 20.94/3.81 | | | member(v1, all_20_2) = 0 & member(v0, all_20_2) = 0 & $i(v1) & % 20.94/3.81 | | | $i(v0)) | ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & % 20.94/3.81 | | | apply(all_20_1, v0, v0) = v1 & member(v0, all_20_2) = 0 & % 20.94/3.81 | | | $i(v0)) % 20.94/3.81 | | | % 20.94/3.81 | | | BETA: splitting (113) gives: % 20.94/3.81 | | | % 20.94/3.81 | | | Case 1: % 20.94/3.81 | | | | % 20.94/3.81 | | | | (114) ? [v0: $i] : ? [v1: $i] : ? [v2: int] : ( ~ (v2 = 0) & % 20.94/3.81 | | | | apply(all_20_1, v1, v0) = v2 & apply(all_20_1, v0, v1) = 0 & % 20.94/3.81 | | | | member(v1, all_20_2) = 0 & member(v0, all_20_2) = 0 & $i(v1) % 20.94/3.81 | | | | & $i(v0)) % 20.94/3.81 | | | | % 20.94/3.81 | | | | DELTA: instantiating (114) with fresh symbols all_39_0, all_39_1, % 20.94/3.81 | | | | all_39_2 gives: % 20.94/3.81 | | | | (115) ~ (all_39_0 = 0) & apply(all_20_1, all_39_1, all_39_2) = % 20.94/3.81 | | | | all_39_0 & apply(all_20_1, all_39_2, all_39_1) = 0 & % 20.94/3.81 | | | | member(all_39_1, all_20_2) = 0 & member(all_39_2, all_20_2) = 0 % 20.94/3.81 | | | | & $i(all_39_1) & $i(all_39_2) % 20.94/3.81 | | | | % 20.94/3.81 | | | | ALPHA: (115) implies: % 20.94/3.81 | | | | (116) ~ (all_39_0 = 0) % 20.94/3.81 | | | | (117) $i(all_39_2) % 20.94/3.81 | | | | (118) $i(all_39_1) % 20.94/3.81 | | | | (119) member(all_39_2, all_20_2) = 0 % 20.94/3.82 | | | | (120) member(all_39_1, all_20_2) = 0 % 20.94/3.82 | | | | (121) apply(all_20_1, all_39_2, all_39_1) = 0 % 20.94/3.82 | | | | (122) apply(all_20_1, all_39_1, all_39_2) = all_39_0 % 20.94/3.82 | | | | % 20.94/3.82 | | | | GROUND_INST: instantiating (11) with all_39_2, all_39_1, 0, simplifying % 20.94/3.82 | | | | with (117), (118), (121) gives: % 20.94/3.82 | | | | (123) ? [v0: any] : ? [v1: any] : (member(all_39_1, all_20_2) = v1 % 20.94/3.82 | | | | & member(all_39_2, all_20_2) = v0 & ( ~ (v1 = 0) | ~ (v0 = % 20.94/3.82 | | | | 0))) | ? [v0: $i] : (member(v0, all_20_3) = 0 & % 20.94/3.82 | | | | member(all_39_1, v0) = 0 & member(all_39_2, v0) = 0 & $i(v0)) % 20.94/3.82 | | | | % 20.94/3.82 | | | | GROUND_INST: instantiating (11) with all_39_1, all_39_2, all_39_0, % 20.94/3.82 | | | | simplifying with (117), (118), (122) gives: % 20.94/3.82 | | | | (124) ? [v0: any] : ? [v1: any] : (member(all_39_1, all_20_2) = v0 % 20.94/3.82 | | | | & member(all_39_2, all_20_2) = v1 & ( ~ (v1 = 0) | ~ (v0 = % 20.94/3.82 | | | | 0))) | (( ~ (all_39_0 = 0) | ? [v0: $i] : (member(v0, % 20.94/3.82 | | | | all_20_3) = 0 & member(all_39_1, v0) = 0 & % 20.94/3.82 | | | | member(all_39_2, v0) = 0 & $i(v0))) & (all_39_0 = 0 | ! % 20.94/3.82 | | | | [v0: $i] : ( ~ (member(all_39_1, v0) = 0) | ~ $i(v0) | ? % 20.94/3.82 | | | | [v1: any] : ? [v2: any] : (member(v0, all_20_3) = v1 & % 20.94/3.82 | | | | member(all_39_2, v0) = v2 & ( ~ (v2 = 0) | ~ (v1 = % 20.94/3.82 | | | | 0)))))) % 20.94/3.82 | | | | % 20.94/3.82 | | | | BETA: splitting (124) gives: % 20.94/3.82 | | | | % 20.94/3.82 | | | | Case 1: % 20.94/3.82 | | | | | % 21.21/3.82 | | | | | (125) ? [v0: any] : ? [v1: any] : (member(all_39_1, all_20_2) = % 21.21/3.82 | | | | | v0 & member(all_39_2, all_20_2) = v1 & ( ~ (v1 = 0) | ~ % 21.21/3.82 | | | | | (v0 = 0))) % 21.21/3.82 | | | | | % 21.21/3.82 | | | | | DELTA: instantiating (125) with fresh symbols all_53_0, all_53_1 % 21.21/3.82 | | | | | gives: % 21.21/3.82 | | | | | (126) member(all_39_1, all_20_2) = all_53_1 & member(all_39_2, % 21.21/3.82 | | | | | all_20_2) = all_53_0 & ( ~ (all_53_0 = 0) | ~ (all_53_1 = % 21.21/3.82 | | | | | 0)) % 21.21/3.82 | | | | | % 21.21/3.82 | | | | | ALPHA: (126) implies: % 21.21/3.82 | | | | | (127) member(all_39_2, all_20_2) = all_53_0 % 21.21/3.82 | | | | | (128) member(all_39_1, all_20_2) = all_53_1 % 21.21/3.82 | | | | | (129) ~ (all_53_0 = 0) | ~ (all_53_1 = 0) % 21.21/3.82 | | | | | % 21.21/3.82 | | | | | GROUND_INST: instantiating (3) with 0, all_53_0, all_20_2, all_39_2, % 21.21/3.82 | | | | | simplifying with (119), (127) gives: % 21.21/3.82 | | | | | (130) all_53_0 = 0 % 21.21/3.82 | | | | | % 21.21/3.82 | | | | | GROUND_INST: instantiating (3) with 0, all_53_1, all_20_2, all_39_1, % 21.21/3.82 | | | | | simplifying with (120), (128) gives: % 21.21/3.82 | | | | | (131) all_53_1 = 0 % 21.21/3.82 | | | | | % 21.21/3.82 | | | | | BETA: splitting (129) gives: % 21.21/3.82 | | | | | % 21.21/3.82 | | | | | Case 1: % 21.21/3.82 | | | | | | % 21.21/3.82 | | | | | | (132) ~ (all_53_0 = 0) % 21.21/3.82 | | | | | | % 21.21/3.82 | | | | | | REDUCE: (130), (132) imply: % 21.21/3.82 | | | | | | (133) $false % 21.21/3.82 | | | | | | % 21.21/3.82 | | | | | | CLOSE: (133) is inconsistent. % 21.21/3.82 | | | | | | % 21.21/3.82 | | | | | Case 2: % 21.21/3.82 | | | | | | % 21.21/3.82 | | | | | | (134) ~ (all_53_1 = 0) % 21.21/3.82 | | | | | | % 21.21/3.82 | | | | | | REDUCE: (131), (134) imply: % 21.21/3.82 | | | | | | (135) $false % 21.21/3.82 | | | | | | % 21.21/3.82 | | | | | | CLOSE: (135) is inconsistent. % 21.21/3.82 | | | | | | % 21.21/3.82 | | | | | End of split % 21.21/3.82 | | | | | % 21.21/3.82 | | | | Case 2: % 21.21/3.82 | | | | | % 21.21/3.83 | | | | | (136) ( ~ (all_39_0 = 0) | ? [v0: $i] : (member(v0, all_20_3) = 0 % 21.21/3.83 | | | | | & member(all_39_1, v0) = 0 & member(all_39_2, v0) = 0 & % 21.21/3.83 | | | | | $i(v0))) & (all_39_0 = 0 | ! [v0: $i] : ( ~ % 21.21/3.83 | | | | | (member(all_39_1, v0) = 0) | ~ $i(v0) | ? [v1: any] : % 21.21/3.83 | | | | | ? [v2: any] : (member(v0, all_20_3) = v1 & % 21.21/3.83 | | | | | member(all_39_2, v0) = v2 & ( ~ (v2 = 0) | ~ (v1 = % 21.21/3.83 | | | | | 0))))) % 21.21/3.83 | | | | | % 21.21/3.83 | | | | | ALPHA: (136) implies: % 21.21/3.83 | | | | | (137) all_39_0 = 0 | ! [v0: $i] : ( ~ (member(all_39_1, v0) = 0) | % 21.21/3.83 | | | | | ~ $i(v0) | ? [v1: any] : ? [v2: any] : (member(v0, % 21.21/3.83 | | | | | all_20_3) = v1 & member(all_39_2, v0) = v2 & ( ~ (v2 = % 21.21/3.83 | | | | | 0) | ~ (v1 = 0)))) % 21.21/3.83 | | | | | % 21.21/3.83 | | | | | BETA: splitting (123) gives: % 21.21/3.83 | | | | | % 21.21/3.83 | | | | | Case 1: % 21.21/3.83 | | | | | | % 21.21/3.83 | | | | | | (138) ? [v0: any] : ? [v1: any] : (member(all_39_1, all_20_2) = % 21.21/3.83 | | | | | | v1 & member(all_39_2, all_20_2) = v0 & ( ~ (v1 = 0) | ~ % 21.21/3.83 | | | | | | (v0 = 0))) % 21.21/3.83 | | | | | | % 21.21/3.83 | | | | | | DELTA: instantiating (138) with fresh symbols all_54_0, all_54_1 % 21.21/3.83 | | | | | | gives: % 21.21/3.83 | | | | | | (139) member(all_39_1, all_20_2) = all_54_0 & member(all_39_2, % 21.21/3.83 | | | | | | all_20_2) = all_54_1 & ( ~ (all_54_0 = 0) | ~ (all_54_1 % 21.21/3.83 | | | | | | = 0)) % 21.21/3.83 | | | | | | % 21.21/3.83 | | | | | | ALPHA: (139) implies: % 21.21/3.83 | | | | | | (140) member(all_39_2, all_20_2) = all_54_1 % 21.21/3.83 | | | | | | (141) member(all_39_1, all_20_2) = all_54_0 % 21.21/3.83 | | | | | | (142) ~ (all_54_0 = 0) | ~ (all_54_1 = 0) % 21.21/3.83 | | | | | | % 21.21/3.83 | | | | | | BETA: splitting (137) gives: % 21.21/3.83 | | | | | | % 21.21/3.83 | | | | | | Case 1: % 21.21/3.83 | | | | | | | % 21.21/3.83 | | | | | | | (143) all_39_0 = 0 % 21.21/3.83 | | | | | | | % 21.21/3.83 | | | | | | | REDUCE: (116), (143) imply: % 21.21/3.83 | | | | | | | (144) $false % 21.21/3.83 | | | | | | | % 21.21/3.83 | | | | | | | CLOSE: (144) is inconsistent. % 21.21/3.83 | | | | | | | % 21.21/3.83 | | | | | | Case 2: % 21.21/3.83 | | | | | | | % 21.21/3.83 | | | | | | | (145) ! [v0: $i] : ( ~ (member(all_39_1, v0) = 0) | ~ $i(v0) % 21.21/3.83 | | | | | | | | ? [v1: any] : ? [v2: any] : (member(v0, all_20_3) = % 21.21/3.83 | | | | | | | v1 & member(all_39_2, v0) = v2 & ( ~ (v2 = 0) | ~ % 21.21/3.83 | | | | | | | (v1 = 0)))) % 21.21/3.83 | | | | | | | % 21.21/3.83 | | | | | | | GROUND_INST: instantiating (145) with all_20_2, simplifying with % 21.21/3.83 | | | | | | | (7), (120) gives: % 21.21/3.83 | | | | | | | (146) ? [v0: any] : ? [v1: any] : (member(all_39_2, all_20_2) % 21.21/3.83 | | | | | | | = v1 & member(all_20_2, all_20_3) = v0 & ( ~ (v1 = 0) | % 21.21/3.83 | | | | | | | ~ (v0 = 0))) % 21.21/3.83 | | | | | | | % 21.21/3.83 | | | | | | | DELTA: instantiating (146) with fresh symbols all_61_0, all_61_1 % 21.21/3.83 | | | | | | | gives: % 21.21/3.83 | | | | | | | (147) member(all_39_2, all_20_2) = all_61_0 & member(all_20_2, % 21.21/3.83 | | | | | | | all_20_3) = all_61_1 & ( ~ (all_61_0 = 0) | ~ % 21.21/3.83 | | | | | | | (all_61_1 = 0)) % 21.21/3.83 | | | | | | | % 21.21/3.83 | | | | | | | ALPHA: (147) implies: % 21.21/3.83 | | | | | | | (148) member(all_39_2, all_20_2) = all_61_0 % 21.21/3.83 | | | | | | | % 21.21/3.83 | | | | | | | GROUND_INST: instantiating (3) with 0, all_61_0, all_20_2, % 21.21/3.83 | | | | | | | all_39_2, simplifying with (119), (148) gives: % 21.21/3.83 | | | | | | | (149) all_61_0 = 0 % 21.21/3.83 | | | | | | | % 21.21/3.83 | | | | | | | GROUND_INST: instantiating (3) with all_54_1, all_61_0, all_20_2, % 21.21/3.83 | | | | | | | all_39_2, simplifying with (140), (148) gives: % 21.21/3.83 | | | | | | | (150) all_61_0 = all_54_1 % 21.21/3.83 | | | | | | | % 21.21/3.83 | | | | | | | GROUND_INST: instantiating (3) with 0, all_54_0, all_20_2, % 21.21/3.83 | | | | | | | all_39_1, simplifying with (120), (141) gives: % 21.21/3.83 | | | | | | | (151) all_54_0 = 0 % 21.21/3.83 | | | | | | | % 21.21/3.83 | | | | | | | COMBINE_EQS: (149), (150) imply: % 21.21/3.83 | | | | | | | (152) all_54_1 = 0 % 21.21/3.83 | | | | | | | % 21.21/3.83 | | | | | | | BETA: splitting (142) gives: % 21.21/3.83 | | | | | | | % 21.21/3.83 | | | | | | | Case 1: % 21.21/3.83 | | | | | | | | % 21.21/3.83 | | | | | | | | (153) ~ (all_54_0 = 0) % 21.21/3.83 | | | | | | | | % 21.21/3.83 | | | | | | | | REDUCE: (151), (153) imply: % 21.21/3.83 | | | | | | | | (154) $false % 21.21/3.83 | | | | | | | | % 21.21/3.83 | | | | | | | | CLOSE: (154) is inconsistent. % 21.21/3.83 | | | | | | | | % 21.21/3.83 | | | | | | | Case 2: % 21.21/3.83 | | | | | | | | % 21.21/3.83 | | | | | | | | (155) ~ (all_54_1 = 0) % 21.21/3.83 | | | | | | | | % 21.21/3.83 | | | | | | | | REDUCE: (152), (155) imply: % 21.21/3.83 | | | | | | | | (156) $false % 21.21/3.83 | | | | | | | | % 21.21/3.83 | | | | | | | | CLOSE: (156) is inconsistent. % 21.21/3.83 | | | | | | | | % 21.21/3.83 | | | | | | | End of split % 21.21/3.83 | | | | | | | % 21.21/3.83 | | | | | | End of split % 21.21/3.83 | | | | | | % 21.21/3.83 | | | | | Case 2: % 21.21/3.83 | | | | | | % 21.21/3.84 | | | | | | (157) ? [v0: $i] : (member(v0, all_20_3) = 0 & member(all_39_1, % 21.21/3.84 | | | | | | v0) = 0 & member(all_39_2, v0) = 0 & $i(v0)) % 21.21/3.84 | | | | | | % 21.21/3.84 | | | | | | DELTA: instantiating (157) with fresh symbol all_54_0 gives: % 21.21/3.84 | | | | | | (158) member(all_54_0, all_20_3) = 0 & member(all_39_1, all_54_0) % 21.21/3.84 | | | | | | = 0 & member(all_39_2, all_54_0) = 0 & $i(all_54_0) % 21.21/3.84 | | | | | | % 21.21/3.84 | | | | | | ALPHA: (158) implies: % 21.21/3.84 | | | | | | (159) $i(all_54_0) % 21.21/3.84 | | | | | | (160) member(all_39_2, all_54_0) = 0 % 21.21/3.84 | | | | | | (161) member(all_39_1, all_54_0) = 0 % 21.21/3.84 | | | | | | (162) member(all_54_0, all_20_3) = 0 % 21.21/3.84 | | | | | | % 21.21/3.84 | | | | | | BETA: splitting (137) gives: % 21.21/3.84 | | | | | | % 21.21/3.84 | | | | | | Case 1: % 21.21/3.84 | | | | | | | % 21.21/3.84 | | | | | | | (163) all_39_0 = 0 % 21.21/3.84 | | | | | | | % 21.21/3.84 | | | | | | | REDUCE: (116), (163) imply: % 21.21/3.84 | | | | | | | (164) $false % 21.21/3.84 | | | | | | | % 21.21/3.84 | | | | | | | CLOSE: (164) is inconsistent. % 21.21/3.84 | | | | | | | % 21.21/3.84 | | | | | | Case 2: % 21.21/3.84 | | | | | | | % 21.21/3.84 | | | | | | | (165) ! [v0: $i] : ( ~ (member(all_39_1, v0) = 0) | ~ $i(v0) % 21.21/3.84 | | | | | | | | ? [v1: any] : ? [v2: any] : (member(v0, all_20_3) = % 21.21/3.84 | | | | | | | v1 & member(all_39_2, v0) = v2 & ( ~ (v2 = 0) | ~ % 21.21/3.84 | | | | | | | (v1 = 0)))) % 21.21/3.84 | | | | | | | % 21.21/3.84 | | | | | | | GROUND_INST: instantiating (165) with all_54_0, simplifying with % 21.21/3.84 | | | | | | | (159), (161) gives: % 21.21/3.84 | | | | | | | (166) ? [v0: any] : ? [v1: any] : (member(all_54_0, all_20_3) % 21.21/3.84 | | | | | | | = v0 & member(all_39_2, all_54_0) = v1 & ( ~ (v1 = 0) | % 21.21/3.84 | | | | | | | ~ (v0 = 0))) % 21.21/3.84 | | | | | | | % 21.21/3.84 | | | | | | | DELTA: instantiating (166) with fresh symbols all_76_0, all_76_1 % 21.21/3.84 | | | | | | | gives: % 21.21/3.84 | | | | | | | (167) member(all_54_0, all_20_3) = all_76_1 & member(all_39_2, % 21.21/3.84 | | | | | | | all_54_0) = all_76_0 & ( ~ (all_76_0 = 0) | ~ % 21.21/3.84 | | | | | | | (all_76_1 = 0)) % 21.21/3.84 | | | | | | | % 21.21/3.84 | | | | | | | ALPHA: (167) implies: % 21.21/3.84 | | | | | | | (168) member(all_39_2, all_54_0) = all_76_0 % 21.21/3.84 | | | | | | | (169) member(all_54_0, all_20_3) = all_76_1 % 21.21/3.84 | | | | | | | (170) ~ (all_76_0 = 0) | ~ (all_76_1 = 0) % 21.21/3.84 | | | | | | | % 21.21/3.84 | | | | | | | GROUND_INST: instantiating (3) with 0, all_76_0, all_54_0, % 21.21/3.84 | | | | | | | all_39_2, simplifying with (160), (168) gives: % 21.21/3.84 | | | | | | | (171) all_76_0 = 0 % 21.21/3.84 | | | | | | | % 21.21/3.84 | | | | | | | GROUND_INST: instantiating (3) with 0, all_76_1, all_20_3, % 21.21/3.84 | | | | | | | all_54_0, simplifying with (162), (169) gives: % 21.21/3.84 | | | | | | | (172) all_76_1 = 0 % 21.21/3.84 | | | | | | | % 21.21/3.84 | | | | | | | BETA: splitting (170) gives: % 21.21/3.84 | | | | | | | % 21.21/3.84 | | | | | | | Case 1: % 21.21/3.84 | | | | | | | | % 21.21/3.84 | | | | | | | | (173) ~ (all_76_0 = 0) % 21.21/3.84 | | | | | | | | % 21.21/3.84 | | | | | | | | REDUCE: (171), (173) imply: % 21.21/3.84 | | | | | | | | (174) $false % 21.21/3.84 | | | | | | | | % 21.21/3.84 | | | | | | | | CLOSE: (174) is inconsistent. % 21.21/3.84 | | | | | | | | % 21.21/3.84 | | | | | | | Case 2: % 21.21/3.84 | | | | | | | | % 21.21/3.84 | | | | | | | | (175) ~ (all_76_1 = 0) % 21.21/3.84 | | | | | | | | % 21.21/3.84 | | | | | | | | REDUCE: (172), (175) imply: % 21.21/3.84 | | | | | | | | (176) $false % 21.21/3.84 | | | | | | | | % 21.21/3.84 | | | | | | | | CLOSE: (176) is inconsistent. % 21.21/3.84 | | | | | | | | % 21.21/3.84 | | | | | | | End of split % 21.21/3.84 | | | | | | | % 21.21/3.84 | | | | | | End of split % 21.21/3.84 | | | | | | % 21.21/3.84 | | | | | End of split % 21.21/3.84 | | | | | % 21.21/3.84 | | | | End of split % 21.21/3.84 | | | | % 21.21/3.84 | | | Case 2: % 21.21/3.84 | | | | % 21.21/3.84 | | | | (177) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & apply(all_20_1, v0, % 21.21/3.84 | | | | v0) = v1 & member(v0, all_20_2) = 0 & $i(v0)) % 21.21/3.84 | | | | % 21.21/3.84 | | | | DELTA: instantiating (177) with fresh symbols all_39_0, all_39_1 gives: % 21.21/3.84 | | | | (178) ~ (all_39_0 = 0) & apply(all_20_1, all_39_1, all_39_1) = % 21.21/3.84 | | | | all_39_0 & member(all_39_1, all_20_2) = 0 & $i(all_39_1) % 21.21/3.84 | | | | % 21.21/3.84 | | | | ALPHA: (178) implies: % 21.21/3.84 | | | | (179) ~ (all_39_0 = 0) % 21.21/3.84 | | | | (180) $i(all_39_1) % 21.21/3.84 | | | | (181) member(all_39_1, all_20_2) = 0 % 21.21/3.84 | | | | (182) apply(all_20_1, all_39_1, all_39_1) = all_39_0 % 21.21/3.84 | | | | % 21.21/3.84 | | | | GROUND_INST: instantiating (13) with all_39_1, simplifying with (180), % 21.21/3.84 | | | | (181) gives: % 21.21/3.84 | | | | (183) ? [v0: $i] : (member(v0, all_20_3) = 0 & member(all_39_1, v0) % 21.21/3.84 | | | | = 0 & $i(v0)) % 21.21/3.84 | | | | % 21.21/3.84 | | | | GROUND_INST: instantiating (11) with all_39_1, all_39_1, all_39_0, % 21.21/3.84 | | | | simplifying with (180), (182) gives: % 21.21/3.85 | | | | (184) ? [v0: any] : ? [v1: any] : (member(all_39_1, all_20_2) = v1 % 21.21/3.85 | | | | & member(all_39_1, all_20_2) = v0 & ( ~ (v1 = 0) | ~ (v0 = % 21.21/3.85 | | | | 0))) | (( ~ (all_39_0 = 0) | ? [v0: $i] : (member(v0, % 21.21/3.85 | | | | all_20_3) = 0 & member(all_39_1, v0) = 0 & $i(v0))) & % 21.21/3.85 | | | | (all_39_0 = 0 | ! [v0: $i] : ( ~ (member(all_39_1, v0) = 0) % 21.21/3.85 | | | | | ~ $i(v0) | ? [v1: any] : ? [v2: any] : (member(v0, % 21.21/3.85 | | | | all_20_3) = v1 & member(all_39_1, v0) = v2 & ( ~ (v2 % 21.21/3.85 | | | | = 0) | ~ (v1 = 0)))))) % 21.21/3.85 | | | | % 21.21/3.85 | | | | DELTA: instantiating (183) with fresh symbol all_46_0 gives: % 21.21/3.85 | | | | (185) member(all_46_0, all_20_3) = 0 & member(all_39_1, all_46_0) = 0 % 21.21/3.85 | | | | & $i(all_46_0) % 21.21/3.85 | | | | % 21.21/3.85 | | | | ALPHA: (185) implies: % 21.21/3.85 | | | | (186) $i(all_46_0) % 21.21/3.85 | | | | (187) member(all_39_1, all_46_0) = 0 % 21.21/3.85 | | | | (188) member(all_46_0, all_20_3) = 0 % 21.21/3.85 | | | | % 21.21/3.85 | | | | BETA: splitting (184) gives: % 21.21/3.85 | | | | % 21.21/3.85 | | | | Case 1: % 21.21/3.85 | | | | | % 21.21/3.85 | | | | | (189) ? [v0: any] : ? [v1: any] : (member(all_39_1, all_20_2) = % 21.21/3.85 | | | | | v1 & member(all_39_1, all_20_2) = v0 & ( ~ (v1 = 0) | ~ % 21.21/3.85 | | | | | (v0 = 0))) % 21.21/3.85 | | | | | % 21.21/3.85 | | | | | DELTA: instantiating (189) with fresh symbols all_51_0, all_51_1 % 21.21/3.85 | | | | | gives: % 21.21/3.85 | | | | | (190) member(all_39_1, all_20_2) = all_51_0 & member(all_39_1, % 21.21/3.85 | | | | | all_20_2) = all_51_1 & ( ~ (all_51_0 = 0) | ~ (all_51_1 = % 21.21/3.85 | | | | | 0)) % 21.21/3.85 | | | | | % 21.21/3.85 | | | | | ALPHA: (190) implies: % 21.21/3.85 | | | | | (191) member(all_39_1, all_20_2) = all_51_1 % 21.21/3.85 | | | | | (192) member(all_39_1, all_20_2) = all_51_0 % 21.21/3.85 | | | | | (193) ~ (all_51_0 = 0) | ~ (all_51_1 = 0) % 21.21/3.85 | | | | | % 21.21/3.85 | | | | | GROUND_INST: instantiating (3) with 0, all_51_0, all_20_2, all_39_1, % 21.21/3.85 | | | | | simplifying with (181), (192) gives: % 21.21/3.85 | | | | | (194) all_51_0 = 0 % 21.21/3.85 | | | | | % 21.21/3.85 | | | | | GROUND_INST: instantiating (3) with all_51_1, all_51_0, all_20_2, % 21.21/3.85 | | | | | all_39_1, simplifying with (191), (192) gives: % 21.21/3.85 | | | | | (195) all_51_0 = all_51_1 % 21.21/3.85 | | | | | % 21.21/3.85 | | | | | COMBINE_EQS: (194), (195) imply: % 21.21/3.85 | | | | | (196) all_51_1 = 0 % 21.21/3.85 | | | | | % 21.21/3.85 | | | | | BETA: splitting (193) gives: % 21.21/3.85 | | | | | % 21.21/3.85 | | | | | Case 1: % 21.21/3.85 | | | | | | % 21.21/3.85 | | | | | | (197) ~ (all_51_0 = 0) % 21.21/3.85 | | | | | | % 21.21/3.85 | | | | | | REDUCE: (194), (197) imply: % 21.21/3.85 | | | | | | (198) $false % 21.21/3.85 | | | | | | % 21.21/3.85 | | | | | | CLOSE: (198) is inconsistent. % 21.21/3.85 | | | | | | % 21.21/3.85 | | | | | Case 2: % 21.21/3.85 | | | | | | % 21.21/3.85 | | | | | | (199) ~ (all_51_1 = 0) % 21.21/3.85 | | | | | | % 21.21/3.85 | | | | | | REDUCE: (196), (199) imply: % 21.21/3.85 | | | | | | (200) $false % 21.21/3.85 | | | | | | % 21.21/3.85 | | | | | | CLOSE: (200) is inconsistent. % 21.21/3.85 | | | | | | % 21.21/3.85 | | | | | End of split % 21.21/3.85 | | | | | % 21.21/3.85 | | | | Case 2: % 21.21/3.85 | | | | | % 21.21/3.85 | | | | | (201) ( ~ (all_39_0 = 0) | ? [v0: $i] : (member(v0, all_20_3) = 0 % 21.21/3.85 | | | | | & member(all_39_1, v0) = 0 & $i(v0))) & (all_39_0 = 0 | % 21.21/3.85 | | | | | ! [v0: $i] : ( ~ (member(all_39_1, v0) = 0) | ~ $i(v0) | % 21.21/3.85 | | | | | ? [v1: any] : ? [v2: any] : (member(v0, all_20_3) = v1 & % 21.21/3.85 | | | | | member(all_39_1, v0) = v2 & ( ~ (v2 = 0) | ~ (v1 = % 21.21/3.85 | | | | | 0))))) % 21.21/3.85 | | | | | % 21.21/3.85 | | | | | ALPHA: (201) implies: % 21.21/3.85 | | | | | (202) all_39_0 = 0 | ! [v0: $i] : ( ~ (member(all_39_1, v0) = 0) | % 21.21/3.85 | | | | | ~ $i(v0) | ? [v1: any] : ? [v2: any] : (member(v0, % 21.21/3.85 | | | | | all_20_3) = v1 & member(all_39_1, v0) = v2 & ( ~ (v2 = % 21.21/3.85 | | | | | 0) | ~ (v1 = 0)))) % 21.21/3.85 | | | | | % 21.21/3.85 | | | | | BETA: splitting (202) gives: % 21.21/3.85 | | | | | % 21.21/3.85 | | | | | Case 1: % 21.21/3.85 | | | | | | % 21.21/3.85 | | | | | | (203) all_39_0 = 0 % 21.21/3.85 | | | | | | % 21.21/3.85 | | | | | | REDUCE: (179), (203) imply: % 21.21/3.85 | | | | | | (204) $false % 21.21/3.85 | | | | | | % 21.21/3.85 | | | | | | CLOSE: (204) is inconsistent. % 21.21/3.85 | | | | | | % 21.21/3.85 | | | | | Case 2: % 21.21/3.85 | | | | | | % 21.21/3.85 | | | | | | (205) ! [v0: $i] : ( ~ (member(all_39_1, v0) = 0) | ~ $i(v0) | % 21.21/3.85 | | | | | | ? [v1: any] : ? [v2: any] : (member(v0, all_20_3) = v1 & % 21.21/3.85 | | | | | | member(all_39_1, v0) = v2 & ( ~ (v2 = 0) | ~ (v1 = % 21.21/3.85 | | | | | | 0)))) % 21.21/3.85 | | | | | | % 21.21/3.85 | | | | | | GROUND_INST: instantiating (205) with all_46_0, simplifying with % 21.21/3.85 | | | | | | (186), (187) gives: % 21.21/3.85 | | | | | | (206) ? [v0: any] : ? [v1: any] : (member(all_46_0, all_20_3) = % 21.21/3.85 | | | | | | v0 & member(all_39_1, all_46_0) = v1 & ( ~ (v1 = 0) | ~ % 21.21/3.85 | | | | | | (v0 = 0))) % 21.21/3.85 | | | | | | % 21.21/3.85 | | | | | | DELTA: instantiating (206) with fresh symbols all_70_0, all_70_1 % 21.21/3.85 | | | | | | gives: % 21.21/3.86 | | | | | | (207) member(all_46_0, all_20_3) = all_70_1 & member(all_39_1, % 21.21/3.86 | | | | | | all_46_0) = all_70_0 & ( ~ (all_70_0 = 0) | ~ (all_70_1 % 21.21/3.86 | | | | | | = 0)) % 21.21/3.86 | | | | | | % 21.21/3.86 | | | | | | ALPHA: (207) implies: % 21.21/3.86 | | | | | | (208) member(all_39_1, all_46_0) = all_70_0 % 21.21/3.86 | | | | | | (209) member(all_46_0, all_20_3) = all_70_1 % 21.21/3.86 | | | | | | (210) ~ (all_70_0 = 0) | ~ (all_70_1 = 0) % 21.21/3.86 | | | | | | % 21.21/3.86 | | | | | | GROUND_INST: instantiating (3) with 0, all_70_0, all_46_0, all_39_1, % 21.21/3.86 | | | | | | simplifying with (187), (208) gives: % 21.21/3.86 | | | | | | (211) all_70_0 = 0 % 21.21/3.86 | | | | | | % 21.21/3.86 | | | | | | GROUND_INST: instantiating (3) with 0, all_70_1, all_20_3, all_46_0, % 21.21/3.86 | | | | | | simplifying with (188), (209) gives: % 21.21/3.86 | | | | | | (212) all_70_1 = 0 % 21.21/3.86 | | | | | | % 21.21/3.86 | | | | | | BETA: splitting (210) gives: % 21.21/3.86 | | | | | | % 21.21/3.86 | | | | | | Case 1: % 21.21/3.86 | | | | | | | % 21.21/3.86 | | | | | | | (213) ~ (all_70_0 = 0) % 21.21/3.86 | | | | | | | % 21.21/3.86 | | | | | | | REDUCE: (211), (213) imply: % 21.21/3.86 | | | | | | | (214) $false % 21.21/3.86 | | | | | | | % 21.21/3.86 | | | | | | | CLOSE: (214) is inconsistent. % 21.21/3.86 | | | | | | | % 21.21/3.86 | | | | | | Case 2: % 21.21/3.86 | | | | | | | % 21.21/3.86 | | | | | | | (215) ~ (all_70_1 = 0) % 21.21/3.86 | | | | | | | % 21.21/3.86 | | | | | | | REDUCE: (212), (215) imply: % 21.21/3.86 | | | | | | | (216) $false % 21.21/3.86 | | | | | | | % 21.21/3.86 | | | | | | | CLOSE: (216) is inconsistent. % 21.21/3.86 | | | | | | | % 21.21/3.86 | | | | | | End of split % 21.21/3.86 | | | | | | % 21.21/3.86 | | | | | End of split % 21.21/3.86 | | | | | % 21.21/3.86 | | | | End of split % 21.21/3.86 | | | | % 21.21/3.86 | | | End of split % 21.21/3.86 | | | % 21.21/3.86 | | End of split % 21.21/3.86 | | % 21.21/3.86 | End of split % 21.21/3.86 | % 21.21/3.86 End of proof % 21.21/3.86 % SZS output end Proof for theBenchmark % 21.21/3.86 % 21.21/3.86 3271ms %------------------------------------------------------------------------------