%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SWW797_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 : n019.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 00:51:23 EDT 2023 % Result : Unsatisfiable 57.99s 9.10s % Output : Proof 58.78s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SWW797_1 : TPTP v8.1.2. Released v7.0.0. % 0.00/0.15 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.14/0.35 % Computer : n019.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 19:19:28 EDT 2023 % 0.14/0.36 % CPUTime : % 0.17/0.60 ________ _____ % 0.17/0.60 ___ __ \_________(_)________________________________ % 0.17/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.17/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.17/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.17/0.60 % 0.17/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.17/0.60 (2023-06-19) % 0.17/0.60 % 0.17/0.60 (c) Philipp Rümmer, 2009-2023 % 0.17/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.17/0.60 Amanda Stjerna. % 0.17/0.60 Free software under BSD-3-Clause. % 0.17/0.60 % 0.17/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.17/0.60 % 0.17/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.17/0.61 Running up to 7 provers in parallel. % 0.17/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.17/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.17/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.17/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.17/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.17/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 0.17/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 18.82/3.44 Prover 0: Preprocessing ... % 18.82/3.44 Prover 4: Preprocessing ... % 19.23/3.47 Prover 3: Preprocessing ... % 19.23/3.49 Prover 1: Preprocessing ... % 20.01/3.56 Prover 2: Preprocessing ... % 20.01/3.59 Prover 6: Preprocessing ... % 20.36/3.63 Prover 5: Preprocessing ... % 41.84/6.53 Prover 1: Warning: ignoring some quantifiers % 42.70/6.61 Prover 1: Constructing countermodel ... % 42.70/6.64 Prover 3: Warning: ignoring some quantifiers % 42.70/6.70 Prover 3: Constructing countermodel ... % 43.88/6.82 Prover 6: Proving ... % 47.00/7.23 Prover 4: Warning: ignoring some quantifiers % 47.71/7.29 Prover 4: Constructing countermodel ... % 49.75/7.62 Prover 0: Proving ... % 52.68/7.96 Prover 4: Found proof (size 9) % 52.68/7.96 Prover 4: proved (7332ms) % 52.68/7.97 Prover 0: stopped % 52.68/7.97 Prover 6: stopped % 52.68/7.97 Prover 1: stopped % 52.86/7.98 Prover 3: stopped % 56.36/8.81 Prover 2: Proving ... % 56.36/8.81 Prover 2: stopped % 57.99/9.09 Prover 5: Proving ... % 57.99/9.09 Prover 5: stopped % 57.99/9.09 % 57.99/9.10 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p % 57.99/9.10 % 57.99/9.10 % SZS output start Proof for theBenchmark % 58.39/9.12 Assumptions after simplification: % 58.39/9.12 --------------------------------- % 58.39/9.12 % 58.39/9.12 (formula_3) % 58.39/9.17 ? [v0: int] : ? [v1: int] : ? [v2: int] : (nullObject = BeingConstructed & % 58.39/9.17 ~ (v0 = result_2) & AsPureObject(this) = this & IsNotNull(this, IntQueue) = % 58.39/9.17 true_1 & InRange(result, System_Int32) = true_1 & IsHeap(Heap) = true_1 & % 58.39/9.17 select2(Heap, this, ownerFrame) = v2 & select2(Heap, this, IntQueue_head) = % 58.39/9.17 v0 & select2(Heap, this, allocated) = true_1 & select2(Heap, this, ownerRef) % 58.39/9.17 = v1 & ! [v3: int] : ! [v4: int] : ( ~ (typeof(v3) = v4) | ? [v5: int] : % 58.39/9.17 ? [v6: int] : ? [v7: int] : ? [v8: int] : ? [v9: int] : (select2(Heap, % 58.39/9.17 v3, ownerFrame) = v7 & select2(Heap, v3, inv) = v8 & select2(Heap, v3, % 58.39/9.17 allocated) = v5 & select2(Heap, v3, localinv) = v9 & select2(Heap, v3, % 58.39/9.17 ownerRef) = v6 & ( ~ (v7 = v2) | ~ (v6 = v1) | ~ (v5 = true_1) | v3 % 58.39/9.17 = BeingConstructed | (v9 = v4 & v8 = v4)))) & ! [v3: int] : ! [v4: % 58.39/9.17 int] : ( ~ (select2(Heap, v3, ownerFrame) = v4) | ? [v5: int] : ? [v6: % 58.39/9.17 int] : ? [v7: int] : ? [v8: int] : ? [v9: int] : (typeof(v3) = v5 & % 58.39/9.17 select2(Heap, v3, inv) = v8 & select2(Heap, v3, allocated) = v6 & % 58.39/9.17 select2(Heap, v3, localinv) = v9 & select2(Heap, v3, ownerRef) = v7 & ( % 58.39/9.17 ~ (v7 = v1) | ~ (v6 = true_1) | ~ (v4 = v2) | v3 = BeingConstructed % 58.39/9.17 | (v9 = v5 & v8 = v5)))) & ! [v3: int] : ! [v4: int] : ( ~ % 58.39/9.17 (select2(Heap, v3, inv) = v4) | ? [v5: int] : ? [v6: int] : ? [v7: int] % 58.39/9.17 : ? [v8: int] : ? [v9: int] : (typeof(v3) = v5 & select2(Heap, v3, % 58.39/9.17 ownerFrame) = v8 & select2(Heap, v3, allocated) = v6 & select2(Heap, % 58.39/9.17 v3, localinv) = v9 & select2(Heap, v3, ownerRef) = v7 & ( ~ (v8 = v2) % 58.39/9.17 | ~ (v7 = v1) | ~ (v6 = true_1) | v3 = BeingConstructed | (v9 = v4 & % 58.39/9.17 v5 = v4)))) & ! [v3: int] : ! [v4: int] : ( ~ (select2(Heap, v3, % 58.39/9.17 allocated) = v4) | ? [v5: int] : ? [v6: int] : ? [v7: int] : ? % 58.39/9.17 [v8: int] : ? [v9: int] : (typeof(v3) = v5 & select2(Heap, v3, % 58.39/9.17 ownerFrame) = v7 & select2(Heap, v3, inv) = v8 & select2(Heap, v3, % 58.39/9.17 localinv) = v9 & select2(Heap, v3, ownerRef) = v6 & ( ~ (v7 = v2) | ~ % 58.39/9.17 (v6 = v1) | ~ (v4 = true_1) | v3 = BeingConstructed | (v9 = v5 & v8 = % 58.39/9.17 v5)))) & ! [v3: int] : ! [v4: int] : ( ~ (select2(Heap, v3, % 58.39/9.17 localinv) = v4) | ? [v5: int] : ? [v6: int] : ? [v7: int] : ? [v8: % 58.39/9.17 int] : ? [v9: int] : (typeof(v3) = v5 & select2(Heap, v3, ownerFrame) = % 58.39/9.17 v8 & select2(Heap, v3, inv) = v9 & select2(Heap, v3, allocated) = v6 & % 58.39/9.17 select2(Heap, v3, ownerRef) = v7 & ( ~ (v8 = v2) | ~ (v7 = v1) | ~ (v6 % 58.39/9.17 = true_1) | v3 = BeingConstructed | (v9 = v4 & v5 = v4)))) & ! [v3: % 58.39/9.17 int] : ! [v4: int] : ( ~ (select2(Heap, v3, ownerRef) = v4) | ? [v5: % 58.39/9.17 int] : ? [v6: int] : ? [v7: int] : ? [v8: int] : ? [v9: int] : % 58.39/9.17 (typeof(v3) = v5 & select2(Heap, v3, ownerFrame) = v7 & select2(Heap, v3, % 58.39/9.17 inv) = v8 & select2(Heap, v3, allocated) = v6 & select2(Heap, v3, % 58.39/9.17 localinv) = v9 & ( ~ (v7 = v2) | ~ (v6 = true_1) | ~ (v4 = v1) | v3 % 58.39/9.17 = BeingConstructed | (v9 = v5 & v8 = v5)))) & ((v0 = 1 & result_1 = 1 % 58.39/9.17 & result_2 = 1) | (v0 = 0 & result_1 = 0 & result_2 = 0))) % 58.39/9.17 % 58.39/9.17 Further assumptions not needed in the proof: % 58.39/9.17 -------------------------------------------- % 58.39/9.17 formula_1, formula_2 % 58.39/9.17 % 58.39/9.17 Those formulas are unsatisfiable: % 58.39/9.17 --------------------------------- % 58.39/9.17 % 58.39/9.17 Begin of proof % 58.39/9.17 | % 58.39/9.17 | DELTA: instantiating (formula_3) with fresh symbols all_5_0, all_5_1, all_5_2 % 58.39/9.17 | gives: % 58.78/9.20 | (1) nullObject = BeingConstructed & ~ (all_5_2 = result_2) & % 58.78/9.20 | AsPureObject(this) = this & IsNotNull(this, IntQueue) = true_1 & % 58.78/9.20 | InRange(result, System_Int32) = true_1 & IsHeap(Heap) = true_1 & % 58.78/9.20 | select2(Heap, this, ownerFrame) = all_5_0 & select2(Heap, this, % 58.78/9.20 | IntQueue_head) = all_5_2 & select2(Heap, this, allocated) = true_1 & % 58.78/9.20 | select2(Heap, this, ownerRef) = all_5_1 & ! [v0: int] : ! [v1: int] : % 58.78/9.20 | ( ~ (typeof(v0) = v1) | ? [v2: int] : ? [v3: int] : ? [v4: int] : ? % 58.78/9.20 | [v5: int] : ? [v6: int] : (select2(Heap, v0, ownerFrame) = v4 & % 58.78/9.20 | select2(Heap, v0, inv) = v5 & select2(Heap, v0, allocated) = v2 & % 58.78/9.20 | select2(Heap, v0, localinv) = v6 & select2(Heap, v0, ownerRef) = v3 % 58.78/9.20 | & ( ~ (v4 = all_5_0) | ~ (v3 = all_5_1) | ~ (v2 = true_1) | v0 = % 58.78/9.20 | BeingConstructed | (v6 = v1 & v5 = v1)))) & ! [v0: int] : ! % 58.78/9.20 | [v1: int] : ( ~ (select2(Heap, v0, ownerFrame) = v1) | ? [v2: int] : % 58.78/9.20 | ? [v3: int] : ? [v4: int] : ? [v5: int] : ? [v6: int] : % 58.78/9.20 | (typeof(v0) = v2 & select2(Heap, v0, inv) = v5 & select2(Heap, v0, % 58.78/9.20 | allocated) = v3 & select2(Heap, v0, localinv) = v6 & % 58.78/9.20 | select2(Heap, v0, ownerRef) = v4 & ( ~ (v4 = all_5_1) | ~ (v3 = % 58.78/9.20 | true_1) | ~ (v1 = all_5_0) | v0 = BeingConstructed | (v6 = v2 % 58.78/9.20 | & v5 = v2)))) & ! [v0: int] : ! [v1: int] : ( ~ % 58.78/9.20 | (select2(Heap, v0, inv) = v1) | ? [v2: int] : ? [v3: int] : ? [v4: % 58.78/9.20 | int] : ? [v5: int] : ? [v6: int] : (typeof(v0) = v2 & % 58.78/9.20 | select2(Heap, v0, ownerFrame) = v5 & select2(Heap, v0, allocated) = % 58.78/9.20 | v3 & select2(Heap, v0, localinv) = v6 & select2(Heap, v0, ownerRef) % 58.78/9.20 | = v4 & ( ~ (v5 = all_5_0) | ~ (v4 = all_5_1) | ~ (v3 = true_1) | % 58.78/9.20 | v0 = BeingConstructed | (v6 = v1 & v2 = v1)))) & ! [v0: int] : % 58.78/9.20 | ! [v1: int] : ( ~ (select2(Heap, v0, allocated) = v1) | ? [v2: int] : % 58.78/9.20 | ? [v3: int] : ? [v4: int] : ? [v5: int] : ? [v6: int] : % 58.78/9.20 | (typeof(v0) = v2 & select2(Heap, v0, ownerFrame) = v4 & select2(Heap, % 58.78/9.20 | v0, inv) = v5 & select2(Heap, v0, localinv) = v6 & select2(Heap, % 58.78/9.20 | v0, ownerRef) = v3 & ( ~ (v4 = all_5_0) | ~ (v3 = all_5_1) | ~ % 58.78/9.20 | (v1 = true_1) | v0 = BeingConstructed | (v6 = v2 & v5 = v2)))) & % 58.78/9.20 | ! [v0: int] : ! [v1: int] : ( ~ (select2(Heap, v0, localinv) = v1) | % 58.78/9.20 | ? [v2: int] : ? [v3: int] : ? [v4: int] : ? [v5: int] : ? [v6: % 58.78/9.20 | int] : (typeof(v0) = v2 & select2(Heap, v0, ownerFrame) = v5 & % 58.78/9.20 | select2(Heap, v0, inv) = v6 & select2(Heap, v0, allocated) = v3 & % 58.78/9.20 | select2(Heap, v0, ownerRef) = v4 & ( ~ (v5 = all_5_0) | ~ (v4 = % 58.78/9.20 | all_5_1) | ~ (v3 = true_1) | v0 = BeingConstructed | (v6 = v1 % 58.78/9.20 | & v2 = v1)))) & ! [v0: int] : ! [v1: int] : ( ~ % 58.78/9.20 | (select2(Heap, v0, ownerRef) = v1) | ? [v2: int] : ? [v3: int] : ? % 58.78/9.20 | [v4: int] : ? [v5: int] : ? [v6: int] : (typeof(v0) = v2 & % 58.78/9.20 | select2(Heap, v0, ownerFrame) = v4 & select2(Heap, v0, inv) = v5 & % 58.78/9.20 | select2(Heap, v0, allocated) = v3 & select2(Heap, v0, localinv) = % 58.78/9.20 | v6 & ( ~ (v4 = all_5_0) | ~ (v3 = true_1) | ~ (v1 = all_5_1) | v0 % 58.78/9.20 | = BeingConstructed | (v6 = v2 & v5 = v2)))) & ((all_5_2 = 1 & % 58.78/9.20 | result_1 = 1 & result_2 = 1) | (all_5_2 = 0 & result_1 = 0 & % 58.78/9.20 | result_2 = 0)) % 58.78/9.20 | % 58.78/9.20 | ALPHA: (1) implies: % 58.78/9.21 | (2) ~ (all_5_2 = result_2) % 58.78/9.21 | (3) (all_5_2 = 1 & result_1 = 1 & result_2 = 1) | (all_5_2 = 0 & result_1 = % 58.78/9.21 | 0 & result_2 = 0) % 58.78/9.21 | % 58.78/9.21 | BETA: splitting (3) gives: % 58.78/9.21 | % 58.78/9.21 | Case 1: % 58.78/9.21 | | % 58.78/9.21 | | (4) all_5_2 = 1 & result_1 = 1 & result_2 = 1 % 58.78/9.21 | | % 58.78/9.21 | | ALPHA: (4) implies: % 58.78/9.21 | | (5) result_2 = 1 % 58.78/9.21 | | (6) all_5_2 = 1 % 58.78/9.21 | | % 58.78/9.21 | | REDUCE: (2), (5), (6) imply: % 58.78/9.21 | | (7) $false % 58.78/9.21 | | % 58.78/9.21 | | CLOSE: (7) is inconsistent. % 58.78/9.21 | | % 58.78/9.21 | Case 2: % 58.78/9.21 | | % 58.78/9.21 | | (8) all_5_2 = 0 & result_1 = 0 & result_2 = 0 % 58.78/9.21 | | % 58.78/9.21 | | ALPHA: (8) implies: % 58.78/9.21 | | (9) result_2 = 0 % 58.78/9.22 | | (10) all_5_2 = 0 % 58.78/9.22 | | % 58.78/9.22 | | REDUCE: (2), (9), (10) imply: % 58.78/9.22 | | (11) $false % 58.78/9.22 | | % 58.78/9.22 | | CLOSE: (11) is inconsistent. % 58.78/9.22 | | % 58.78/9.22 | End of split % 58.78/9.22 | % 58.78/9.22 End of proof % 58.78/9.22 % SZS output end Proof for theBenchmark % 58.78/9.22 % 58.78/9.22 8616ms %------------------------------------------------------------------------------