%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SWW803_1 : TPTP v8.1.2. Released v7.0.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n006.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 : Fri Sep 1 00:51:24 EDT 2023 % Result : Unsatisfiable 37.62s 5.92s % Output : Proof 37.82s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SWW803_1 : TPTP v8.1.2. Released v7.0.0. % 0.00/0.14 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.14/0.35 % Computer : n006.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 300 % 0.14/0.35 % DateTime : Sun Aug 27 22:50:36 EDT 2023 % 0.14/0.35 % CPUTime : % 0.20/0.63 ________ _____ % 0.20/0.63 ___ __ \_________(_)________________________________ % 0.20/0.63 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.20/0.63 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.20/0.63 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.20/0.63 % 0.20/0.63 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.20/0.63 (2023-06-19) % 0.20/0.63 % 0.20/0.63 (c) Philipp Rümmer, 2009-2023 % 0.20/0.63 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.20/0.63 Amanda Stjerna. % 0.20/0.63 Free software under BSD-3-Clause. % 0.20/0.63 % 0.20/0.63 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.20/0.63 % 0.20/0.63 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.20/0.64 Running up to 7 provers in parallel. % 0.20/0.66 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.20/0.66 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.20/0.66 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.20/0.66 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.20/0.66 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.20/0.66 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.20/0.66 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 14.37/2.69 Prover 1: Preprocessing ... % 14.37/2.69 Prover 3: Preprocessing ... % 14.37/2.72 Prover 2: Preprocessing ... % 14.37/2.75 Prover 6: Preprocessing ... % 14.37/2.75 Prover 4: Preprocessing ... % 15.46/2.83 Prover 0: Preprocessing ... % 15.46/2.86 Prover 5: Preprocessing ... % 29.49/4.84 Prover 1: Warning: ignoring some quantifiers % 30.68/4.91 Prover 3: Warning: ignoring some quantifiers % 30.68/4.91 Prover 1: Constructing countermodel ... % 30.68/4.93 Prover 3: Constructing countermodel ... % 31.18/4.95 Prover 6: Proving ... % 31.96/5.05 Prover 4: Warning: ignoring some quantifiers % 32.23/5.09 Prover 4: Constructing countermodel ... % 33.72/5.30 Prover 0: Proving ... % 36.44/5.63 Prover 4: Found proof (size 21) % 36.44/5.63 Prover 4: proved (4979ms) % 36.49/5.64 Prover 3: stopped % 36.49/5.64 Prover 0: stopped % 36.49/5.65 Prover 1: stopped % 36.49/5.65 Prover 6: stopped % 36.82/5.75 Prover 2: Proving ... % 36.82/5.75 Prover 2: stopped % 37.62/5.92 Prover 5: Proving ... % 37.62/5.92 Prover 5: stopped % 37.62/5.92 % 37.62/5.92 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p % 37.62/5.92 % 37.62/5.93 % SZS output start Proof for theBenchmark % 37.82/5.94 Assumptions after simplification: % 37.82/5.94 --------------------------------- % 37.82/5.94 % 37.82/5.94 (formula_1) % 37.82/6.00 ~ (true_1 = false_1) & ~ (boolNot(true_1) = true_1) & ! [v0: int] : ! [v1: % 37.82/6.00 int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : ! [v6: % 37.82/6.00 int] : ! [v7: int] : (v4 = v2 | ~ (store2(v0, v1, v2, v5) = v6) | ~ % 37.82/6.00 (select2(v6, v3, v4) = v7) | select2(v0, v3, v4) = v7) & ! [v0: int] : ! % 37.82/6.00 [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : ! % 37.82/6.00 [v6: int] : ! [v7: int] : (v3 = v1 | ~ (store2(v0, v1, v2, v5) = v6) | ~ % 37.82/6.00 (select2(v6, v3, v4) = v7) | select2(v0, v3, v4) = v7) & ! [v0: int] : ! % 37.82/6.00 [v1: int] : ! [v2: int] : ! [v3: int] : ! [v4: int] : ! [v5: int] : (v2 = % 37.82/6.00 v1 | ~ (store1(v0, v1, v3) = v4) | ~ (select1(v4, v2) = v5) | select1(v0, % 37.82/6.00 v2) = v5) & ! [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : ! % 37.82/6.00 [v4: int] : ( ~ (store2(v0, v1, v2, v3) = v4) | select2(v4, v1, v2) = v3) & ! % 37.82/6.00 [v0: int] : ! [v1: int] : ! [v2: int] : ! [v3: int] : (v3 = true_1 | ~ % 37.82/6.00 (x(v1, v2) = true_1) | ~ (x(v0, v2) = v3) | ? [v4: int] : ( ~ (v4 = % 37.82/6.00 true_1) & x(v0, v1) = v4)) & ! [v0: int] : ! [v1: int] : ! [v2: int] % 37.82/6.00 : ! [v3: int] : (v3 = true_1 | ~ (x(v0, v2) = v3) | ~ (x(v0, v1) = true_1) % 37.82/6.00 | ? [v4: int] : ( ~ (v4 = true_1) & x(v1, v2) = v4)) & ! [v0: int] : ! % 37.82/6.00 [v1: int] : ! [v2: int] : ! [v3: int] : ( ~ (store1(v0, v1, v2) = v3) | % 37.82/6.00 select1(v3, v1) = v2) & ! [v0: int] : ! [v1: int] : ! [v2: int] : (v2 = % 37.82/6.00 true_1 | v1 = v0 | ~ (anyNeq(v0, v1) = v2)) & ! [v0: int] : ! [v1: int] : % 37.82/6.00 ! [v2: int] : (v2 = true_1 | v1 = true_1 | v0 = true_1 | ~ (boolIff(v0, v1) % 37.82/6.00 = v2)) & ! [v0: int] : ! [v1: int] : ! [v2: int] : (v2 = true_1 | v0 = % 37.82/6.00 true_1 | ~ (boolImplies(v0, v1) = v2)) & ! [v0: int] : ! [v1: int] : ! % 37.82/6.00 [v2: int] : (v2 = true_1 | ~ ($lesseq(1, $difference(v0, v1))) | ~ % 37.82/6.00 (intGreater(v0, v1) = v2)) & ! [v0: int] : ! [v1: int] : ! [v2: int] : % 37.82/6.00 (v2 = true_1 | ~ ($lesseq(v1, v0)) | ~ (intAtLeast(v0, v1) = v2)) & ! [v0: % 37.82/6.00 int] : ! [v1: int] : ! [v2: int] : (v2 = true_1 | ~ ($lesseq(1, % 37.82/6.00 $difference(v1, v0))) | ~ (intLess(v0, v1) = v2)) & ! [v0: int] : ! % 37.82/6.00 [v1: int] : ! [v2: int] : (v2 = true_1 | ~ ($lesseq(v0, v1)) | ~ % 37.82/6.00 (intAtMost(v0, v1) = v2)) & ! [v0: int] : ! [v1: int] : ! [v2: int] : ( ~ % 37.82/6.00 (x(v1, v2) = true_1) | ~ (x(v0, v1) = true_1) | x(v0, v2) = true_1) & ! % 37.82/6.00 [v0: int] : ! [v1: int] : (v1 = v0 | ~ (x(v1, v0) = true_1) | ? [v2: int] : % 37.82/6.00 ( ~ (v2 = true_1) & x(v0, v1) = v2)) & ! [v0: int] : ! [v1: int] : (v1 = % 37.82/6.00 v0 | ~ (x(v0, v1) = true_1) | ? [v2: int] : ( ~ (v2 = true_1) & x(v1, v0) % 37.82/6.00 = v2)) & ! [v0: int] : ! [v1: int] : (v1 = v0 | ~ (anyEqual(v0, v1) = % 37.82/6.00 true_1)) & ! [v0: int] : ! [v1: int] : (v1 = true_1 | v0 = true_1 | ~ % 37.82/6.00 (boolNot(v0) = v1)) & ! [v0: int] : ! [v1: int] : (v1 = true_1 | v0 = % 37.82/6.00 true_1 | ~ (boolOr(v0, v1) = true_1)) & ! [v0: int] : ! [v1: int] : (v1 = % 37.82/6.00 true_1 | ~ (x(v0, v0) = v1)) & ! [v0: int] : ! [v1: int] : (v1 = true_1 | % 37.82/6.00 ~ (anyEqual(v0, v0) = v1)) & ! [v0: int] : ! [v1: int] : (v1 = true_1 | % 37.82/6.00 ~ (boolOr(v0, true_1) = v1)) & ! [v0: int] : ! [v1: int] : (v1 = true_1 | % 37.82/6.00 ~ (boolOr(true_1, v0) = v1)) & ! [v0: int] : ! [v1: int] : (v1 = true_1 | % 37.82/6.00 ~ (boolAnd(v0, v1) = true_1)) & ! [v0: int] : ! [v1: int] : (v1 = true_1 | % 37.82/6.00 ~ (boolImplies(v0, true_1) = v1)) & ! [v0: int] : ! [v1: int] : (v0 = % 37.82/6.00 true_1 | ~ (boolAnd(v0, v1) = true_1)) & ! [v0: int] : ! [v1: int] : ( ~ % 37.82/6.00 ($lesseq(1, $difference(v0, v1))) | ~ (intAtMost(v0, v1) = true_1)) & ! % 37.82/6.00 [v0: int] : ! [v1: int] : ( ~ ($lesseq(v1, v0)) | ~ (intLess(v0, v1) = % 37.82/6.00 true_1)) & ! [v0: int] : ! [v1: int] : ( ~ ($lesseq(1, $difference(v1, % 37.82/6.00 v0))) | ~ (intAtLeast(v0, v1) = true_1)) & ! [v0: int] : ! [v1: % 37.82/6.00 int] : ( ~ ($lesseq(v0, v1)) | ~ (intGreater(v0, v1) = true_1)) & ! [v0: % 37.82/6.00 int] : (v0 = true_1 | ~ (boolAnd(true_1, true_1) = v0)) & ! [v0: int] : % 37.82/6.00 (v0 = true_1 | ~ (boolImplies(true_1, v0) = true_1)) & ! [v0: int] : (v0 = % 37.82/6.00 true_1 | ~ (boolIff(v0, true_1) = true_1)) & ! [v0: int] : (v0 = true_1 | % 37.82/6.00 ~ (boolIff(true_1, v0) = true_1)) & ! [v0: int] : (v0 = true_1 | ~ % 37.82/6.00 (boolIff(true_1, true_1) = v0)) & ! [v0: int] : ~ (anyNeq(v0, v0) = % 37.82/6.00 true_1) % 37.82/6.00 % 37.82/6.00 (formula_3) % 37.82/6.01 ? [v0: int] : ? [v1: int] : ? [v2: int] : (nullObject = BeingConstructed & % 37.82/6.01 IntStack_get_Top(Heap, this) = v2 & AsPureObject(this) = this & % 37.82/6.01 IsNotNull(this, IntStack) = true_1 & IsHeap(Heap) = true_1 & select2(Heap, % 37.82/6.01 this, ownerFrame) = v1 & select2(Heap, this, allocated) = true_1 & % 37.82/6.01 select2(Heap, this, ownerRef) = v0 & ! [v3: int] : ! [v4: int] : ( ~ % 37.82/6.01 (typeof(v3) = v4) | ? [v5: int] : ? [v6: int] : ? [v7: int] : ? [v8: % 37.82/6.01 int] : ? [v9: int] : (select2(Heap, v3, ownerFrame) = v7 & % 37.82/6.01 select2(Heap, v3, inv) = v8 & select2(Heap, v3, allocated) = v5 & % 37.82/6.01 select2(Heap, v3, localinv) = v9 & select2(Heap, v3, ownerRef) = v6 & ( % 37.82/6.01 ~ (v7 = v1) | ~ (v6 = v0) | ~ (v5 = true_1) | v3 = BeingConstructed % 37.82/6.01 | (v9 = v4 & v8 = v4)))) & ! [v3: int] : ! [v4: int] : ( ~ % 37.82/6.01 (select2(Heap, v3, ownerFrame) = v4) | ? [v5: int] : ? [v6: int] : ? % 37.82/6.01 [v7: int] : ? [v8: int] : ? [v9: int] : (typeof(v3) = v5 & select2(Heap, % 37.82/6.01 v3, inv) = v8 & select2(Heap, v3, allocated) = v6 & select2(Heap, v3, % 37.82/6.01 localinv) = v9 & select2(Heap, v3, ownerRef) = v7 & ( ~ (v7 = v0) | ~ % 37.82/6.01 (v6 = true_1) | ~ (v4 = v1) | v3 = BeingConstructed | (v9 = v5 & v8 = % 37.82/6.01 v5)))) & ! [v3: int] : ! [v4: int] : ( ~ (select2(Heap, v3, inv) = % 37.82/6.01 v4) | ? [v5: int] : ? [v6: int] : ? [v7: int] : ? [v8: int] : ? % 37.82/6.01 [v9: int] : (typeof(v3) = v5 & select2(Heap, v3, ownerFrame) = v8 & % 37.82/6.02 select2(Heap, v3, allocated) = v6 & select2(Heap, v3, localinv) = v9 & % 37.82/6.02 select2(Heap, v3, ownerRef) = v7 & ( ~ (v8 = v1) | ~ (v7 = v0) | ~ (v6 % 37.82/6.02 = true_1) | v3 = BeingConstructed | (v9 = v4 & v5 = v4)))) & ! [v3: % 37.82/6.02 int] : ! [v4: int] : ( ~ (select2(Heap, v3, allocated) = v4) | ? [v5: % 37.82/6.02 int] : ? [v6: int] : ? [v7: int] : ? [v8: int] : ? [v9: int] : % 37.82/6.02 (typeof(v3) = v5 & select2(Heap, v3, ownerFrame) = v7 & select2(Heap, v3, % 37.82/6.02 inv) = v8 & select2(Heap, v3, localinv) = v9 & select2(Heap, v3, % 37.82/6.02 ownerRef) = v6 & ( ~ (v7 = v1) | ~ (v6 = v0) | ~ (v4 = true_1) | v3 % 37.82/6.02 = BeingConstructed | (v9 = v5 & v8 = v5)))) & ! [v3: int] : ! [v4: % 37.82/6.02 int] : ( ~ (select2(Heap, v3, localinv) = v4) | ? [v5: int] : ? [v6: % 37.82/6.02 int] : ? [v7: int] : ? [v8: int] : ? [v9: int] : (typeof(v3) = v5 & % 37.82/6.02 select2(Heap, v3, ownerFrame) = v8 & select2(Heap, v3, inv) = v9 & % 37.82/6.02 select2(Heap, v3, allocated) = v6 & select2(Heap, v3, ownerRef) = v7 & ( % 37.82/6.02 ~ (v8 = v1) | ~ (v7 = v0) | ~ (v6 = true_1) | v3 = BeingConstructed % 37.82/6.02 | (v9 = v4 & v5 = v4)))) & ! [v3: int] : ! [v4: int] : ( ~ % 37.82/6.02 (select2(Heap, v3, ownerRef) = v4) | ? [v5: int] : ? [v6: int] : ? [v7: % 37.82/6.02 int] : ? [v8: int] : ? [v9: int] : (typeof(v3) = v5 & select2(Heap, % 37.82/6.02 v3, ownerFrame) = v7 & select2(Heap, v3, inv) = v8 & select2(Heap, v3, % 37.82/6.02 allocated) = v6 & select2(Heap, v3, localinv) = v9 & ( ~ (v7 = v1) | % 37.82/6.02 ~ (v6 = true_1) | ~ (v4 = v0) | v3 = BeingConstructed | (v9 = v5 & v8 % 37.82/6.02 = v5)))) & ((v2 = 0 & result_0 = true_1) | (result_0 = false_1 & ~ % 37.82/6.02 (v2 = 0))) & ((v2 = 0 & ~ (result_0 = true_1)) | (result_0 = true_1 & % 37.82/6.02 ~ (v2 = 0)))) % 37.82/6.02 % 37.82/6.02 Further assumptions not needed in the proof: % 37.82/6.02 -------------------------------------------- % 37.82/6.02 formula_2 % 37.82/6.02 % 37.82/6.02 Those formulas are unsatisfiable: % 37.82/6.02 --------------------------------- % 37.82/6.02 % 37.82/6.02 Begin of proof % 37.82/6.02 | % 37.82/6.02 | ALPHA: (formula_1) implies: % 37.82/6.02 | (1) ~ (true_1 = false_1) % 37.82/6.02 | % 37.82/6.02 | DELTA: instantiating (formula_3) with fresh symbols all_5_0, all_5_1, all_5_2 % 37.82/6.02 | gives: % 37.82/6.03 | (2) nullObject = BeingConstructed & IntStack_get_Top(Heap, this) = all_5_0 % 37.82/6.03 | & AsPureObject(this) = this & IsNotNull(this, IntStack) = true_1 & % 37.82/6.03 | IsHeap(Heap) = true_1 & select2(Heap, this, ownerFrame) = all_5_1 & % 37.82/6.03 | select2(Heap, this, allocated) = true_1 & select2(Heap, this, ownerRef) % 37.82/6.03 | = all_5_2 & ! [v0: int] : ! [v1: int] : ( ~ (typeof(v0) = v1) | ? % 37.82/6.03 | [v2: int] : ? [v3: int] : ? [v4: int] : ? [v5: int] : ? [v6: int] % 37.82/6.03 | : (select2(Heap, v0, ownerFrame) = v4 & select2(Heap, v0, inv) = v5 & % 37.82/6.03 | select2(Heap, v0, allocated) = v2 & select2(Heap, v0, localinv) = % 37.82/6.03 | v6 & select2(Heap, v0, ownerRef) = v3 & ( ~ (v4 = all_5_1) | ~ (v3 % 37.82/6.03 | = all_5_2) | ~ (v2 = true_1) | v0 = BeingConstructed | (v6 = % 37.82/6.03 | v1 & v5 = v1)))) & ! [v0: int] : ! [v1: int] : ( ~ % 37.82/6.03 | (select2(Heap, v0, ownerFrame) = v1) | ? [v2: int] : ? [v3: int] : % 37.82/6.03 | ? [v4: int] : ? [v5: int] : ? [v6: int] : (typeof(v0) = v2 & % 37.82/6.03 | select2(Heap, v0, inv) = v5 & select2(Heap, v0, allocated) = v3 & % 37.82/6.03 | select2(Heap, v0, localinv) = v6 & select2(Heap, v0, ownerRef) = v4 % 37.82/6.03 | & ( ~ (v4 = all_5_2) | ~ (v3 = true_1) | ~ (v1 = all_5_1) | v0 = % 37.82/6.03 | BeingConstructed | (v6 = v2 & v5 = v2)))) & ! [v0: int] : ! % 37.82/6.03 | [v1: int] : ( ~ (select2(Heap, v0, inv) = v1) | ? [v2: int] : ? [v3: % 37.82/6.03 | int] : ? [v4: int] : ? [v5: int] : ? [v6: int] : (typeof(v0) = % 37.82/6.03 | v2 & select2(Heap, v0, ownerFrame) = v5 & select2(Heap, v0, % 37.82/6.03 | allocated) = v3 & select2(Heap, v0, localinv) = v6 & % 37.82/6.03 | select2(Heap, v0, ownerRef) = v4 & ( ~ (v5 = all_5_1) | ~ (v4 = % 37.82/6.03 | all_5_2) | ~ (v3 = true_1) | v0 = BeingConstructed | (v6 = v1 % 37.82/6.03 | & v2 = v1)))) & ! [v0: int] : ! [v1: int] : ( ~ % 37.82/6.03 | (select2(Heap, v0, allocated) = v1) | ? [v2: int] : ? [v3: int] : % 37.82/6.03 | ? [v4: int] : ? [v5: int] : ? [v6: int] : (typeof(v0) = v2 & % 37.82/6.03 | select2(Heap, v0, ownerFrame) = v4 & select2(Heap, v0, inv) = v5 & % 37.82/6.03 | select2(Heap, v0, localinv) = v6 & select2(Heap, v0, ownerRef) = v3 % 37.82/6.03 | & ( ~ (v4 = all_5_1) | ~ (v3 = all_5_2) | ~ (v1 = true_1) | v0 = % 37.82/6.03 | BeingConstructed | (v6 = v2 & v5 = v2)))) & ! [v0: int] : ! % 37.82/6.03 | [v1: int] : ( ~ (select2(Heap, v0, localinv) = v1) | ? [v2: int] : ? % 37.82/6.03 | [v3: int] : ? [v4: int] : ? [v5: int] : ? [v6: int] : (typeof(v0) % 37.82/6.03 | = v2 & select2(Heap, v0, ownerFrame) = v5 & select2(Heap, v0, inv) % 37.82/6.03 | = v6 & select2(Heap, v0, allocated) = v3 & select2(Heap, v0, % 37.82/6.03 | ownerRef) = v4 & ( ~ (v5 = all_5_1) | ~ (v4 = all_5_2) | ~ (v3 % 37.82/6.03 | = true_1) | v0 = BeingConstructed | (v6 = v1 & v2 = v1)))) & ! % 37.82/6.03 | [v0: int] : ! [v1: int] : ( ~ (select2(Heap, v0, ownerRef) = v1) | ? % 37.82/6.03 | [v2: int] : ? [v3: int] : ? [v4: int] : ? [v5: int] : ? [v6: int] % 37.82/6.03 | : (typeof(v0) = v2 & select2(Heap, v0, ownerFrame) = v4 & % 37.82/6.03 | select2(Heap, v0, inv) = v5 & select2(Heap, v0, allocated) = v3 & % 37.82/6.03 | select2(Heap, v0, localinv) = v6 & ( ~ (v4 = all_5_1) | ~ (v3 = % 37.82/6.03 | true_1) | ~ (v1 = all_5_2) | v0 = BeingConstructed | (v6 = v2 % 37.82/6.03 | & v5 = v2)))) & ((all_5_0 = 0 & result_0 = true_1) | (result_0 % 37.82/6.03 | = false_1 & ~ (all_5_0 = 0))) & ((all_5_0 = 0 & ~ (result_0 = % 37.82/6.03 | true_1)) | (result_0 = true_1 & ~ (all_5_0 = 0))) % 37.82/6.03 | % 37.82/6.03 | ALPHA: (2) implies: % 37.82/6.03 | (3) (all_5_0 = 0 & ~ (result_0 = true_1)) | (result_0 = true_1 & ~ % 37.82/6.03 | (all_5_0 = 0)) % 37.82/6.03 | (4) (all_5_0 = 0 & result_0 = true_1) | (result_0 = false_1 & ~ (all_5_0 = % 37.82/6.03 | 0)) % 37.82/6.03 | % 37.82/6.03 | BETA: splitting (3) gives: % 37.82/6.03 | % 37.82/6.03 | Case 1: % 37.82/6.03 | | % 37.82/6.03 | | (5) all_5_0 = 0 & ~ (result_0 = true_1) % 37.82/6.03 | | % 37.82/6.03 | | ALPHA: (5) implies: % 37.82/6.03 | | (6) all_5_0 = 0 % 37.82/6.03 | | (7) ~ (result_0 = true_1) % 37.82/6.03 | | % 37.82/6.03 | | BETA: splitting (4) gives: % 37.82/6.03 | | % 37.82/6.03 | | Case 1: % 37.82/6.03 | | | % 37.82/6.03 | | | (8) all_5_0 = 0 & result_0 = true_1 % 37.82/6.04 | | | % 37.82/6.04 | | | ALPHA: (8) implies: % 37.82/6.04 | | | (9) result_0 = true_1 % 37.82/6.04 | | | % 37.82/6.04 | | | REDUCE: (7), (9) imply: % 37.82/6.04 | | | (10) $false % 37.82/6.04 | | | % 37.82/6.04 | | | CLOSE: (10) is inconsistent. % 37.82/6.04 | | | % 37.82/6.04 | | Case 2: % 37.82/6.04 | | | % 37.82/6.04 | | | (11) result_0 = false_1 & ~ (all_5_0 = 0) % 37.82/6.04 | | | % 37.82/6.04 | | | ALPHA: (11) implies: % 37.82/6.04 | | | (12) ~ (all_5_0 = 0) % 37.82/6.04 | | | % 37.82/6.04 | | | REDUCE: (6), (12) imply: % 37.82/6.04 | | | (13) $false % 37.82/6.04 | | | % 37.82/6.04 | | | CLOSE: (13) is inconsistent. % 37.82/6.04 | | | % 37.82/6.04 | | End of split % 37.82/6.04 | | % 37.82/6.04 | Case 2: % 37.82/6.04 | | % 37.82/6.04 | | (14) result_0 = true_1 & ~ (all_5_0 = 0) % 37.82/6.04 | | % 37.82/6.04 | | ALPHA: (14) implies: % 37.82/6.04 | | (15) result_0 = true_1 % 37.82/6.04 | | (16) ~ (all_5_0 = 0) % 37.82/6.04 | | % 37.82/6.04 | | BETA: splitting (4) gives: % 37.82/6.04 | | % 37.82/6.04 | | Case 1: % 37.82/6.04 | | | % 37.82/6.04 | | | (17) all_5_0 = 0 & result_0 = true_1 % 37.82/6.04 | | | % 37.82/6.04 | | | ALPHA: (17) implies: % 37.82/6.04 | | | (18) all_5_0 = 0 % 37.82/6.04 | | | % 37.82/6.04 | | | REDUCE: (16), (18) imply: % 37.82/6.04 | | | (19) $false % 37.82/6.04 | | | % 37.82/6.04 | | | CLOSE: (19) is inconsistent. % 37.82/6.04 | | | % 37.82/6.04 | | Case 2: % 37.82/6.04 | | | % 37.82/6.04 | | | (20) result_0 = false_1 & ~ (all_5_0 = 0) % 37.82/6.04 | | | % 37.82/6.04 | | | ALPHA: (20) implies: % 37.82/6.04 | | | (21) result_0 = false_1 % 37.82/6.04 | | | % 37.82/6.04 | | | COMBINE_EQS: (15), (21) imply: % 37.82/6.04 | | | (22) true_1 = false_1 % 37.82/6.04 | | | % 37.82/6.04 | | | REDUCE: (1), (22) imply: % 37.82/6.04 | | | (23) $false % 37.82/6.04 | | | % 37.82/6.04 | | | CLOSE: (23) is inconsistent. % 37.82/6.04 | | | % 37.82/6.04 | | End of split % 37.82/6.04 | | % 37.82/6.04 | End of split % 37.82/6.04 | % 37.82/6.04 End of proof % 37.82/6.04 % SZS output end Proof for theBenchmark % 37.82/6.04 % 37.82/6.04 5409ms %------------------------------------------------------------------------------