%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : COM125+1 : TPTP v8.1.2. Released v6.4.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n016.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 : Wed Aug 30 18:44:32 EDT 2023 % Result : Theorem 18.12s 3.12s % Output : Proof 24.08s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COM125+1 : TPTP v8.1.2. Released v6.4.0. % 0.11/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.34 % Computer : n016.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Tue Aug 29 13:35:01 EDT 2023 % 0.13/0.34 % CPUTime : % 0.61/0.60 ________ _____ % 0.61/0.60 ___ __ \_________(_)________________________________ % 0.61/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.61/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.61/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.61/0.60 % 0.61/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.61/0.60 (2023-06-19) % 0.61/0.60 % 0.61/0.60 (c) Philipp Rümmer, 2009-2023 % 0.61/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.61/0.60 Amanda Stjerna. % 0.61/0.60 Free software under BSD-3-Clause. % 0.61/0.60 % 0.61/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.61/0.60 % 0.61/0.60 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.61/0.61 Running up to 7 provers in parallel. % 0.61/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.61/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.61/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.61/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.61/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.61/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.61/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 5.47/1.46 Prover 4: Preprocessing ... % 5.96/1.47 Prover 1: Preprocessing ... % 6.19/1.52 Prover 3: Preprocessing ... % 6.19/1.52 Prover 0: Preprocessing ... % 6.19/1.52 Prover 2: Preprocessing ... % 6.19/1.52 Prover 5: Preprocessing ... % 6.19/1.52 Prover 6: Preprocessing ... % 15.09/2.75 Prover 3: Constructing countermodel ... % 15.09/2.76 Prover 1: Constructing countermodel ... % 15.09/2.78 Prover 6: Proving ... % 16.08/2.86 Prover 4: Constructing countermodel ... % 16.08/2.90 Prover 0: Proving ... % 17.31/3.02 Prover 5: Proving ... % 18.12/3.11 Prover 6: proved (2485ms) % 18.12/3.12 % 18.12/3.12 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 18.12/3.12 % 18.12/3.12 Prover 3: stopped % 18.32/3.14 Prover 5: stopped % 18.32/3.15 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 18.32/3.15 Prover 0: stopped % 18.32/3.16 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 18.32/3.16 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 18.32/3.16 Prover 2: Proving ... % 18.32/3.16 Prover 2: stopped % 18.32/3.17 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 18.32/3.19 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 19.07/3.26 Prover 1: Found proof (size 40) % 19.07/3.26 Prover 1: proved (2641ms) % 19.07/3.27 Prover 4: stopped % 20.77/3.47 Prover 8: Preprocessing ... % 20.77/3.52 Prover 13: Preprocessing ... % 20.77/3.52 Prover 10: Preprocessing ... % 20.77/3.52 Prover 11: Preprocessing ... % 21.45/3.52 Prover 7: Preprocessing ... % 21.90/3.61 Prover 10: stopped % 21.90/3.62 Prover 11: stopped % 21.90/3.64 Prover 7: stopped % 22.53/3.70 Prover 13: stopped % 22.90/3.79 Prover 8: Warning: ignoring some quantifiers % 22.90/3.82 Prover 8: Constructing countermodel ... % 23.30/3.83 Prover 8: stopped % 23.30/3.83 % 23.30/3.84 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 23.30/3.84 % 23.30/3.85 % SZS output start Proof for theBenchmark % 23.30/3.85 Assumptions after simplification: % 23.30/3.85 --------------------------------- % 23.30/3.85 % 23.30/3.86 (T-Weak-FreeVar-abs) % 23.57/3.89 $i(veabs) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: % 23.57/3.89 $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: int] : ? [v8: $i] : ? [v9: int] % 23.57/3.89 : ( ~ (v9 = 0) & ~ (v7 = 0) & vtcheck(v8, v6, v5) = v9 & vtcheck(v2, v6, v5) % 23.57/3.89 = 0 & vbind(v0, v1, v2) = v8 & visFreeVar(v0, v6) = v7 & vabs(v3, v4, veabs) % 23.57/3.89 = v6 & $i(v8) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & % 23.57/3.90 $i(v0)) % 23.57/3.90 % 23.57/3.90 (T-Weak-FreeVar-abs-1) % 23.57/3.90 $i(veabs) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: % 23.57/3.90 $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: int] : (v8 = 0 | v3 % 23.57/3.90 = v0 | ~ (vtcheck(v7, v6, v5) = v8) | ~ (vbind(v0, v1, v2) = v7) | ~ % 23.57/3.90 (vabs(v3, v4, veabs) = v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | % 23.57/3.90 ~ $i(v1) | ~ $i(v0) | ? [v9: any] : ? [v10: any] : (vtcheck(v2, v6, v5) % 23.57/3.90 = v10 & visFreeVar(v0, v6) = v9 & ( ~ (v10 = 0) | v9 = 0))) % 23.57/3.90 % 23.57/3.90 (T-Weak-FreeVar-abs-2) % 23.57/3.91 $i(veabs) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: % 23.57/3.91 $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: int] : (v7 = 0 | ~ (vtcheck(v6, % 23.57/3.91 v5, v4) = v7) | ~ (vbind(v0, v1, v2) = v6) | ~ (vabs(v0, v3, veabs) = % 23.57/3.91 v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v8: % 23.57/3.91 any] : ? [v9: any] : (vtcheck(v2, v5, v4) = v9 & visFreeVar(v0, v5) = v8 % 23.57/3.91 & ( ~ (v9 = 0) | v8 = 0))) % 23.57/3.91 % 23.57/3.91 (function-axioms) % 23.57/3.92 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 % 23.57/3.92 | ~ (vsubst(v4, v3, v2) = v1) | ~ (vsubst(v4, v3, v2) = v0)) & ! [v0: % 23.57/3.92 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 23.57/3.92 : ! [v4: $i] : (v1 = v0 | ~ (vtcheck(v4, v3, v2) = v1) | ~ (vtcheck(v4, v3, % 23.57/3.92 v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! % 23.57/3.92 [v4: $i] : (v1 = v0 | ~ (vbind(v4, v3, v2) = v1) | ~ (vbind(v4, v3, v2) = % 23.57/3.92 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] % 23.57/3.92 : (v1 = v0 | ~ (vabs(v4, v3, v2) = v1) | ~ (vabs(v4, v3, v2) = v0)) & ! % 23.57/3.92 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (varrow(v3, % 23.57/3.92 v2) = v1) | ~ (varrow(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! % 23.57/3.92 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (vlookup(v3, v2) = v1) | ~ % 23.57/3.92 (vlookup(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 23.57/3.92 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 23.57/3.92 (visFreeVar(v3, v2) = v1) | ~ (visFreeVar(v3, v2) = v0)) & ! [v0: $i] : ! % 23.57/3.92 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (vapp(v3, v2) = v1) | ~ % 23.57/3.92 (vapp(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | % 23.57/3.92 ~ (vreduce(v2) = v1) | ~ (vreduce(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : % 23.57/3.92 ! [v2: $i] : (v1 = v0 | ~ (vgetSomeExp(v2) = v1) | ~ (vgetSomeExp(v2) = v0)) % 23.57/3.92 & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 % 23.57/3.92 = v0 | ~ (visSomeExp(v2) = v1) | ~ (visSomeExp(v2) = v0)) & ! [v0: $i] : % 23.57/3.92 ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (vsomeExp(v2) = v1) | ~ % 23.57/3.92 (vsomeExp(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | % 23.57/3.92 ~ (vgensym(v2) = v1) | ~ (vgensym(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : % 23.57/3.92 ! [v2: $i] : (v1 = v0 | ~ (vgetSomeType(v2) = v1) | ~ (vgetSomeType(v2) = % 23.57/3.92 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 23.57/3.92 $i] : (v1 = v0 | ~ (visSomeType(v2) = v1) | ~ (visSomeType(v2) = v0)) & ! % 23.57/3.92 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (vsomeType(v2) = v1) | ~ % 23.57/3.92 (vsomeType(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 23.57/3.92 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (visValue(v2) = v1) | ~ % 23.57/3.92 (visValue(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | % 23.57/3.92 ~ (vvar(v2) = v1) | ~ (vvar(v2) = v0)) % 23.57/3.92 % 23.57/3.92 Further assumptions not needed in the proof: % 23.57/3.92 -------------------------------------------- % 23.57/3.93 DIFF-abs-app, DIFF-empty-bind, DIFF-noExp-someExp, DIFF-noType-someType, % 23.57/3.93 DIFF-var-abs, DIFF-var-app, EQ-abs, EQ-app, EQ-arrow, EQ-bind, EQ-empty, % 23.57/3.93 EQ-noExp, EQ-noType, EQ-someExp, EQ-someType, EQ-var, T-Context-Duplicate, % 23.57/3.93 T-Context-Swap, T-Strong, T-Weak, T-Weak-FreeVar-abs-IH, T-abs, T-app, T-inv, % 23.57/3.93 T-var, gensym-is-fresh, getSomeExp0, getSomeType0, isFreeVar0, isFreeVar1, % 23.57/3.93 isFreeVar2, isSomeExp0, isSomeExp1, isSomeType0, isSomeType1, isValue0, % 23.57/3.93 isValue1, isValue2, lookup-INV, lookup0, lookup1, lookup2, reduce-INV, reduce0, % 23.57/3.93 reduce1, reduce2, reduce3, reduce4, reduce5, reduce6, subst-INV, subst0, subst1, % 23.57/3.93 subst2, subst3, subst4, subst5 % 23.57/3.93 % 23.57/3.93 Those formulas are unsatisfiable: % 23.57/3.93 --------------------------------- % 23.57/3.93 % 23.57/3.93 Begin of proof % 23.57/3.93 | % 23.57/3.93 | ALPHA: (T-Weak-FreeVar-abs-1) implies: % 23.57/3.93 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 23.57/3.93 | ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: int] : (v8 = 0 | v3 = % 23.57/3.93 | v0 | ~ (vtcheck(v7, v6, v5) = v8) | ~ (vbind(v0, v1, v2) = v7) | ~ % 23.57/3.93 | (vabs(v3, v4, veabs) = v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ % 23.57/3.93 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v9: any] : ? [v10: any] : % 23.57/3.93 | (vtcheck(v2, v6, v5) = v10 & visFreeVar(v0, v6) = v9 & ( ~ (v10 = 0) % 23.57/3.93 | | v9 = 0))) % 23.57/3.93 | % 23.57/3.93 | ALPHA: (T-Weak-FreeVar-abs-2) implies: % 23.57/3.94 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 23.57/3.94 | ! [v5: $i] : ! [v6: $i] : ! [v7: int] : (v7 = 0 | ~ (vtcheck(v6, v5, % 23.57/3.94 | v4) = v7) | ~ (vbind(v0, v1, v2) = v6) | ~ (vabs(v0, v3, veabs) % 23.57/3.94 | = v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 23.57/3.94 | ? [v8: any] : ? [v9: any] : (vtcheck(v2, v5, v4) = v9 & % 23.57/3.94 | visFreeVar(v0, v5) = v8 & ( ~ (v9 = 0) | v8 = 0))) % 23.57/3.94 | % 23.57/3.94 | ALPHA: (T-Weak-FreeVar-abs) implies: % 23.57/3.94 | (3) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 23.57/3.94 | ? [v5: $i] : ? [v6: $i] : ? [v7: int] : ? [v8: $i] : ? [v9: int] : % 23.57/3.94 | ( ~ (v9 = 0) & ~ (v7 = 0) & vtcheck(v8, v6, v5) = v9 & vtcheck(v2, v6, % 23.57/3.94 | v5) = 0 & vbind(v0, v1, v2) = v8 & visFreeVar(v0, v6) = v7 & % 23.57/3.94 | vabs(v3, v4, veabs) = v6 & $i(v8) & $i(v6) & $i(v5) & $i(v4) & $i(v3) % 23.57/3.94 | & $i(v2) & $i(v1) & $i(v0)) % 23.57/3.94 | % 23.57/3.94 | ALPHA: (function-axioms) implies: % 23.57/3.94 | (4) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 23.57/3.94 | ! [v3: $i] : (v1 = v0 | ~ (visFreeVar(v3, v2) = v1) | ~ % 23.57/3.94 | (visFreeVar(v3, v2) = v0)) % 23.57/3.95 | (5) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 23.57/3.95 | ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (vtcheck(v4, v3, v2) = v1) | % 23.57/3.95 | ~ (vtcheck(v4, v3, v2) = v0)) % 23.57/3.95 | % 23.57/3.95 | DELTA: instantiating (3) with fresh symbols all_58_0, all_58_1, all_58_2, % 23.57/3.95 | all_58_3, all_58_4, all_58_5, all_58_6, all_58_7, all_58_8, all_58_9 % 23.57/3.95 | gives: % 23.57/3.95 | (6) ~ (all_58_0 = 0) & ~ (all_58_2 = 0) & vtcheck(all_58_1, all_58_3, % 23.57/3.95 | all_58_4) = all_58_0 & vtcheck(all_58_7, all_58_3, all_58_4) = 0 & % 23.57/3.95 | vbind(all_58_9, all_58_8, all_58_7) = all_58_1 & visFreeVar(all_58_9, % 23.57/3.95 | all_58_3) = all_58_2 & vabs(all_58_6, all_58_5, veabs) = all_58_3 & % 23.57/3.95 | $i(all_58_1) & $i(all_58_3) & $i(all_58_4) & $i(all_58_5) & % 23.57/3.95 | $i(all_58_6) & $i(all_58_7) & $i(all_58_8) & $i(all_58_9) % 23.57/3.95 | % 23.57/3.95 | ALPHA: (6) implies: % 23.57/3.95 | (7) ~ (all_58_2 = 0) % 23.57/3.95 | (8) ~ (all_58_0 = 0) % 23.57/3.95 | (9) $i(all_58_9) % 23.57/3.95 | (10) $i(all_58_8) % 23.57/3.95 | (11) $i(all_58_7) % 23.57/3.95 | (12) $i(all_58_6) % 23.57/3.95 | (13) $i(all_58_5) % 23.57/3.95 | (14) $i(all_58_4) % 23.57/3.95 | (15) vabs(all_58_6, all_58_5, veabs) = all_58_3 % 23.57/3.95 | (16) visFreeVar(all_58_9, all_58_3) = all_58_2 % 23.57/3.95 | (17) vbind(all_58_9, all_58_8, all_58_7) = all_58_1 % 23.57/3.95 | (18) vtcheck(all_58_7, all_58_3, all_58_4) = 0 % 23.57/3.96 | (19) vtcheck(all_58_1, all_58_3, all_58_4) = all_58_0 % 23.57/3.96 | % 23.57/3.96 | GROUND_INST: instantiating (1) with all_58_9, all_58_8, all_58_7, all_58_6, % 23.57/3.96 | all_58_5, all_58_4, all_58_3, all_58_1, all_58_0, simplifying % 23.57/3.96 | with (9), (10), (11), (12), (13), (14), (15), (17), (19) gives: % 23.57/3.96 | (20) all_58_0 = 0 | all_58_6 = all_58_9 | ? [v0: any] : ? [v1: any] : % 23.57/3.96 | (vtcheck(all_58_7, all_58_3, all_58_4) = v1 & visFreeVar(all_58_9, % 23.57/3.96 | all_58_3) = v0 & ( ~ (v1 = 0) | v0 = 0)) % 23.57/3.96 | % 23.57/3.96 | BETA: splitting (20) gives: % 23.57/3.96 | % 23.57/3.96 | Case 1: % 23.57/3.96 | | % 23.57/3.96 | | (21) all_58_0 = 0 % 23.57/3.96 | | % 23.57/3.96 | | REDUCE: (8), (21) imply: % 23.57/3.96 | | (22) $false % 23.57/3.96 | | % 23.57/3.96 | | CLOSE: (22) is inconsistent. % 23.57/3.96 | | % 23.57/3.96 | Case 2: % 23.57/3.96 | | % 23.57/3.96 | | (23) all_58_6 = all_58_9 | ? [v0: any] : ? [v1: any] : % 23.57/3.97 | | (vtcheck(all_58_7, all_58_3, all_58_4) = v1 & visFreeVar(all_58_9, % 23.57/3.97 | | all_58_3) = v0 & ( ~ (v1 = 0) | v0 = 0)) % 23.57/3.97 | | % 23.57/3.97 | | BETA: splitting (23) gives: % 23.57/3.97 | | % 23.57/3.97 | | Case 1: % 23.57/3.97 | | | % 23.57/3.97 | | | (24) all_58_6 = all_58_9 % 23.57/3.97 | | | % 23.57/3.97 | | | REDUCE: (15), (24) imply: % 23.57/3.97 | | | (25) vabs(all_58_9, all_58_5, veabs) = all_58_3 % 23.57/3.97 | | | % 23.99/3.97 | | | GROUND_INST: instantiating (2) with all_58_9, all_58_8, all_58_7, % 23.99/3.97 | | | all_58_5, all_58_4, all_58_3, all_58_1, all_58_0, simplifying % 23.99/3.97 | | | with (9), (10), (11), (13), (14), (17), (19), (25) gives: % 23.99/3.97 | | | (26) all_58_0 = 0 | ? [v0: any] : ? [v1: any] : (vtcheck(all_58_7, % 23.99/3.97 | | | all_58_3, all_58_4) = v1 & visFreeVar(all_58_9, all_58_3) = v0 % 23.99/3.97 | | | & ( ~ (v1 = 0) | v0 = 0)) % 23.99/3.97 | | | % 23.99/3.97 | | | BETA: splitting (26) gives: % 23.99/3.97 | | | % 23.99/3.97 | | | Case 1: % 23.99/3.97 | | | | % 23.99/3.97 | | | | (27) all_58_0 = 0 % 23.99/3.97 | | | | % 23.99/3.97 | | | | REDUCE: (8), (27) imply: % 23.99/3.97 | | | | (28) $false % 23.99/3.97 | | | | % 23.99/3.97 | | | | CLOSE: (28) is inconsistent. % 23.99/3.97 | | | | % 23.99/3.97 | | | Case 2: % 23.99/3.97 | | | | % 23.99/3.97 | | | | (29) ? [v0: any] : ? [v1: any] : (vtcheck(all_58_7, all_58_3, % 23.99/3.97 | | | | all_58_4) = v1 & visFreeVar(all_58_9, all_58_3) = v0 & ( ~ % 23.99/3.97 | | | | (v1 = 0) | v0 = 0)) % 23.99/3.97 | | | | % 23.99/3.97 | | | | DELTA: instantiating (29) with fresh symbols all_85_0, all_85_1 gives: % 23.99/3.97 | | | | (30) vtcheck(all_58_7, all_58_3, all_58_4) = all_85_0 & % 23.99/3.97 | | | | visFreeVar(all_58_9, all_58_3) = all_85_1 & ( ~ (all_85_0 = 0) | % 23.99/3.97 | | | | all_85_1 = 0) % 23.99/3.97 | | | | % 23.99/3.97 | | | | REF_CLOSE: (4), (5), (7), (16), (18), (30) are inconsistent by sub-proof % 23.99/3.97 | | | | #1. % 23.99/3.97 | | | | % 23.99/3.97 | | | End of split % 23.99/3.98 | | | % 23.99/3.98 | | Case 2: % 23.99/3.98 | | | % 23.99/3.98 | | | (31) ? [v0: any] : ? [v1: any] : (vtcheck(all_58_7, all_58_3, % 23.99/3.98 | | | all_58_4) = v1 & visFreeVar(all_58_9, all_58_3) = v0 & ( ~ (v1 % 23.99/3.98 | | | = 0) | v0 = 0)) % 23.99/3.98 | | | % 23.99/3.98 | | | DELTA: instantiating (31) with fresh symbols all_85_0, all_85_1 gives: % 23.99/3.98 | | | (32) vtcheck(all_58_7, all_58_3, all_58_4) = all_85_0 & % 23.99/3.98 | | | visFreeVar(all_58_9, all_58_3) = all_85_1 & ( ~ (all_85_0 = 0) | % 23.99/3.98 | | | all_85_1 = 0) % 23.99/3.98 | | | % 23.99/3.98 | | | REF_CLOSE: (4), (5), (7), (16), (18), (32) are inconsistent by sub-proof % 23.99/3.98 | | | #1. % 23.99/3.98 | | | % 23.99/3.98 | | End of split % 23.99/3.98 | | % 23.99/3.98 | End of split % 23.99/3.98 | % 23.99/3.98 End of proof % 23.99/3.98 % 23.99/3.98 Sub-proof #1 shows that the following formulas are inconsistent: % 23.99/3.98 ---------------------------------------------------------------- % 23.99/3.98 (1) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 23.99/3.98 ! [v3: $i] : (v1 = v0 | ~ (visFreeVar(v3, v2) = v1) | ~ (visFreeVar(v3, % 23.99/3.98 v2) = v0)) % 23.99/3.98 (2) vtcheck(all_58_7, all_58_3, all_58_4) = 0 % 23.99/3.98 (3) visFreeVar(all_58_9, all_58_3) = all_58_2 % 23.99/3.98 (4) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 23.99/3.98 ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (vtcheck(v4, v3, v2) = v1) | ~ % 23.99/3.98 (vtcheck(v4, v3, v2) = v0)) % 23.99/3.98 (5) vtcheck(all_58_7, all_58_3, all_58_4) = all_85_0 & visFreeVar(all_58_9, % 23.99/3.98 all_58_3) = all_85_1 & ( ~ (all_85_0 = 0) | all_85_1 = 0) % 23.99/3.98 (6) ~ (all_58_2 = 0) % 23.99/3.98 % 23.99/3.98 Begin of proof % 23.99/3.98 | % 23.99/3.98 | ALPHA: (5) implies: % 23.99/3.98 | (7) visFreeVar(all_58_9, all_58_3) = all_85_1 % 23.99/3.98 | (8) vtcheck(all_58_7, all_58_3, all_58_4) = all_85_0 % 23.99/3.98 | (9) ~ (all_85_0 = 0) | all_85_1 = 0 % 23.99/3.98 | % 23.99/3.98 | GROUND_INST: instantiating (1) with all_58_2, all_85_1, all_58_3, all_58_9, % 23.99/3.98 | simplifying with (3), (7) gives: % 23.99/3.98 | (10) all_85_1 = all_58_2 % 23.99/3.98 | % 23.99/3.99 | GROUND_INST: instantiating (4) with 0, all_85_0, all_58_4, all_58_3, all_58_7, % 23.99/3.99 | simplifying with (2), (8) gives: % 24.08/3.99 | (11) all_85_0 = 0 % 24.08/3.99 | % 24.08/3.99 | BETA: splitting (9) gives: % 24.08/3.99 | % 24.08/3.99 | Case 1: % 24.08/3.99 | | % 24.08/3.99 | | (12) ~ (all_85_0 = 0) % 24.08/3.99 | | % 24.08/3.99 | | REDUCE: (11), (12) imply: % 24.08/3.99 | | (13) $false % 24.08/3.99 | | % 24.08/3.99 | | CLOSE: (13) is inconsistent. % 24.08/3.99 | | % 24.08/3.99 | Case 2: % 24.08/3.99 | | % 24.08/3.99 | | (14) all_85_1 = 0 % 24.08/3.99 | | % 24.08/3.99 | | COMBINE_EQS: (10), (14) imply: % 24.08/3.99 | | (15) all_58_2 = 0 % 24.08/3.99 | | % 24.08/3.99 | | REDUCE: (6), (15) imply: % 24.08/3.99 | | (16) $false % 24.08/3.99 | | % 24.08/3.99 | | CLOSE: (16) is inconsistent. % 24.08/3.99 | | % 24.08/3.99 | End of split % 24.08/3.99 | % 24.08/3.99 End of proof % 24.08/3.99 % SZS output end Proof for theBenchmark % 24.08/3.99 % 24.08/3.99 3385ms %------------------------------------------------------------------------------