%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SYN395+1 : TPTP v8.1.2. Released v2.0.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n026.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 03:27:31 EDT 2023 % Result : Theorem 2.79s 1.17s % Output : Proof 3.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN395+1 : TPTP v8.1.2. Released v2.0.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.12/0.34 % Computer : n026.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Sat Aug 26 17:32:03 EDT 2023 % 0.12/0.34 % CPUTime : % 0.19/0.62 ________ _____ % 0.19/0.62 ___ __ \_________(_)________________________________ % 0.19/0.62 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.19/0.62 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.19/0.62 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.19/0.62 % 0.19/0.62 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.19/0.62 (2023-06-19) % 0.19/0.62 % 0.19/0.62 (c) Philipp Rümmer, 2009-2023 % 0.19/0.62 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.19/0.62 Amanda Stjerna. % 0.19/0.62 Free software under BSD-3-Clause. % 0.19/0.62 % 0.19/0.62 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.19/0.62 % 0.19/0.62 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.19/0.63 Running up to 7 provers in parallel. % 0.19/0.65 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.19/0.65 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.19/0.65 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.19/0.65 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.19/0.65 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.19/0.65 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.19/0.65 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 1.79/1.00 Prover 1: Preprocessing ... % 1.79/1.00 Prover 4: Preprocessing ... % 2.09/1.04 Prover 6: Preprocessing ... % 2.09/1.04 Prover 5: Preprocessing ... % 2.09/1.04 Prover 3: Preprocessing ... % 2.09/1.04 Prover 2: Preprocessing ... % 2.09/1.05 Prover 0: Preprocessing ... % 2.28/1.10 Prover 1: Constructing countermodel ... % 2.28/1.10 Prover 4: Constructing countermodel ... % 2.28/1.10 Prover 5: Constructing countermodel ... % 2.28/1.10 Prover 2: Constructing countermodel ... % 2.28/1.10 Prover 6: Proving ... % 2.28/1.11 Prover 3: Constructing countermodel ... % 2.28/1.11 Prover 0: Proving ... % 2.79/1.17 Prover 5: proved (526ms) % 2.79/1.17 % 2.79/1.17 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 2.79/1.17 % 2.79/1.18 Prover 3: gave up % 2.79/1.18 Prover 2: proved (529ms) % 2.79/1.18 % 2.79/1.18 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 2.79/1.18 % 2.79/1.18 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 2.79/1.18 Prover 1: gave up % 3.09/1.18 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 3.09/1.18 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 3.09/1.18 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 3.09/1.18 Prover 0: stopped % 3.09/1.19 Prover 6: stopped % 3.09/1.20 Prover 10: Preprocessing ... % 3.09/1.20 Prover 7: Preprocessing ... % 3.09/1.20 Prover 8: Preprocessing ... % 3.09/1.20 Prover 11: Preprocessing ... % 3.09/1.20 Prover 10: Constructing countermodel ... % 3.09/1.20 Prover 7: Constructing countermodel ... % 3.09/1.20 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 3.09/1.20 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 3.09/1.22 Prover 13: Preprocessing ... % 3.09/1.22 Prover 4: Found proof (size 5) % 3.09/1.22 Prover 4: proved (575ms) % 3.09/1.23 Prover 16: Preprocessing ... % 3.09/1.23 Prover 13: Constructing countermodel ... % 3.09/1.23 Prover 13: stopped % 3.09/1.23 Prover 10: stopped % 3.09/1.23 Prover 7: stopped % 3.09/1.23 Prover 8: Warning: ignoring some quantifiers % 3.09/1.23 Prover 16: Constructing countermodel ... % 3.09/1.24 Prover 16: stopped % 3.09/1.24 Prover 8: Constructing countermodel ... % 3.09/1.24 Prover 11: Constructing countermodel ... % 3.09/1.24 Prover 11: stopped % 3.09/1.24 Prover 8: stopped % 3.09/1.24 % 3.09/1.24 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 3.09/1.24 % 3.48/1.24 % SZS output start Proof for theBenchmark % 3.48/1.25 Assumptions after simplification: % 3.48/1.25 --------------------------------- % 3.48/1.25 % 3.48/1.25 (kalish202) % 3.54/1.29 ? [v0: $i] : (f(v0) = 0 & $i(v0) & ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ % 3.54/1.29 (g(v1) = v2) | ~ $i(v1) | ? [v3: int] : ( ~ (v3 = 0) & f(v1) = v3)) & ! % 3.54/1.29 [v1: $i] : ( ~ (g(v1) = 0) | ~ $i(v1)) & ! [v1: $i] : ( ~ (f(v1) = 0) | ~ % 3.54/1.29 $i(v1) | g(v1) = 0)) % 3.54/1.29 % 3.54/1.29 Those formulas are unsatisfiable: % 3.54/1.29 --------------------------------- % 3.54/1.29 % 3.54/1.29 Begin of proof % 3.54/1.29 | % 3.54/1.30 | DELTA: instantiating (kalish202) with fresh symbol all_3_0 gives: % 3.54/1.30 | (1) f(all_3_0) = 0 & $i(all_3_0) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | % 3.54/1.30 | ~ (g(v0) = v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & f(v0) = % 3.54/1.30 | v2)) & ! [v0: $i] : ( ~ (g(v0) = 0) | ~ $i(v0)) & ! [v0: $i] : ( % 3.54/1.30 | ~ (f(v0) = 0) | ~ $i(v0) | g(v0) = 0) % 3.54/1.30 | % 3.54/1.30 | ALPHA: (1) implies: % 3.54/1.30 | (2) $i(all_3_0) % 3.54/1.30 | (3) f(all_3_0) = 0 % 3.54/1.30 | (4) ! [v0: $i] : ( ~ (f(v0) = 0) | ~ $i(v0) | g(v0) = 0) % 3.54/1.30 | (5) ! [v0: $i] : ( ~ (g(v0) = 0) | ~ $i(v0)) % 3.54/1.30 | % 3.54/1.31 | GROUND_INST: instantiating (4) with all_3_0, simplifying with (2), (3) gives: % 3.54/1.31 | (6) g(all_3_0) = 0 % 3.54/1.31 | % 3.54/1.31 | GROUND_INST: instantiating (5) with all_3_0, simplifying with (2), (6) gives: % 3.54/1.31 | (7) $false % 3.54/1.31 | % 3.54/1.31 | CLOSE: (7) is inconsistent. % 3.54/1.31 | % 3.54/1.31 End of proof % 3.54/1.31 % SZS output end Proof for theBenchmark % 3.54/1.31 % 3.54/1.31 685ms %------------------------------------------------------------------------------