%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SYO896_7 : TPTP v8.2.0. Released v8.2.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n024.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 04:54:09 EDT 2023 % Result : Theorem 4.29s 1.44s % Output : Proof 5.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SYO896_7 : TPTP v8.2.0. Released v8.2.0. % 0.07/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.35 % Computer : n024.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Sat Aug 26 06:36:39 EDT 2023 % 0.13/0.35 % CPUTime : % 0.19/0.67 ________ _____ % 0.19/0.67 ___ __ \_________(_)________________________________ % 0.19/0.67 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.19/0.67 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.19/0.67 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.19/0.67 % 0.19/0.67 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.19/0.67 (2023-06-19) % 0.19/0.67 % 0.19/0.67 (c) Philipp Rümmer, 2009-2023 % 0.19/0.67 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.19/0.67 Amanda Stjerna. % 0.19/0.67 Free software under BSD-3-Clause. % 0.19/0.67 % 0.19/0.67 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.19/0.67 % 0.19/0.68 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.77/0.69 Running up to 7 provers in parallel. % 0.77/0.72 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.77/0.72 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.77/0.72 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.77/0.72 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.77/0.72 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.77/0.72 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.77/0.72 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.33/1.16 Prover 1: Preprocessing ... % 2.33/1.17 Prover 4: Preprocessing ... % 2.77/1.23 Prover 6: Preprocessing ... % 2.77/1.23 Prover 5: Preprocessing ... % 2.77/1.23 Prover 3: Preprocessing ... % 2.77/1.23 Prover 0: Preprocessing ... % 2.77/1.23 Prover 2: Preprocessing ... % 3.42/1.31 Prover 2: Constructing countermodel ... % 3.42/1.31 Prover 5: Constructing countermodel ... % 3.42/1.33 Prover 3: Constructing countermodel ... % 3.42/1.34 Prover 1: Constructing countermodel ... % 3.42/1.35 Prover 6: Proving ... % 3.42/1.37 Prover 4: Constructing countermodel ... % 4.19/1.42 Prover 0: Proving ... % 4.29/1.44 Prover 5: proved (722ms) % 4.29/1.44 % 4.29/1.44 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 4.29/1.44 % 4.29/1.44 Prover 2: proved (741ms) % 4.29/1.44 % 4.29/1.44 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 4.29/1.44 % 4.29/1.44 Prover 0: stopped % 4.29/1.44 Prover 6: stopped % 4.29/1.45 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 4.29/1.45 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 4.29/1.45 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 4.29/1.45 Prover 3: stopped % 4.29/1.46 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 4.29/1.46 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 4.29/1.47 Prover 8: Preprocessing ... % 4.29/1.47 Prover 10: Preprocessing ... % 4.29/1.48 Prover 7: Preprocessing ... % 4.29/1.48 Prover 13: Preprocessing ... % 4.29/1.49 Prover 10: Constructing countermodel ... % 4.29/1.49 Prover 7: Constructing countermodel ... % 4.29/1.50 Prover 13: Constructing countermodel ... % 4.29/1.50 Prover 11: Preprocessing ... % 4.29/1.51 Prover 8: Warning: ignoring some quantifiers % 4.95/1.51 Prover 8: Constructing countermodel ... % 4.95/1.53 Prover 13: Found proof (size 6) % 4.95/1.54 Prover 13: proved (78ms) % 4.95/1.54 Prover 4: stopped % 4.95/1.54 Prover 1: stopped % 4.95/1.54 Prover 7: stopped % 4.95/1.54 Prover 10: stopped % 4.95/1.54 Prover 8: stopped % 5.32/1.59 Prover 11: Constructing countermodel ... % 5.32/1.60 Prover 11: stopped % 5.32/1.60 % 5.32/1.60 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 5.32/1.60 % 5.32/1.60 % SZS output start Proof for theBenchmark % 5.32/1.61 Assumptions after simplification: % 5.32/1.61 --------------------------------- % 5.32/1.61 % 5.32/1.61 (verify) % 5.32/1.62 $ki_world($ki_local_world) & ? [v0: $ki_world] : ($ki_world(v0) & p(v0) & % 5.32/1.62 $ki_accessible($ki_local_world, v0) & ! [v1: $ki_world] : ( ~ $ki_world(v1) % 5.32/1.62 | ~ q(v1) | ~ p(v1) | ~ $ki_accessible($ki_local_world, v1)) & ! [v1: % 5.32/1.62 $ki_world] : ( ~ $ki_world(v1) | ~ p(v1) | ~ % 5.32/1.62 $ki_accessible($ki_local_world, v1) | q(v1))) % 5.32/1.62 % 5.32/1.62 Those formulas are unsatisfiable: % 5.32/1.62 --------------------------------- % 5.32/1.62 % 5.32/1.62 Begin of proof % 5.32/1.62 | % 5.32/1.62 | ALPHA: (verify) implies: % 5.32/1.63 | (1) ? [v0: $ki_world] : ($ki_world(v0) & p(v0) & % 5.32/1.63 | $ki_accessible($ki_local_world, v0) & ! [v1: $ki_world] : ( ~ % 5.32/1.63 | $ki_world(v1) | ~ q(v1) | ~ p(v1) | ~ % 5.32/1.63 | $ki_accessible($ki_local_world, v1)) & ! [v1: $ki_world] : ( ~ % 5.32/1.63 | $ki_world(v1) | ~ p(v1) | ~ $ki_accessible($ki_local_world, v1) | % 5.32/1.63 | q(v1))) % 5.32/1.63 | % 5.32/1.63 | DELTA: instantiating (1) with fresh symbol all_5_0 gives: % 5.32/1.63 | (2) $ki_world(all_5_0) & p(all_5_0) & $ki_accessible($ki_local_world, % 5.32/1.63 | all_5_0) & ! [v0: $ki_world] : ( ~ $ki_world(v0) | ~ q(v0) | ~ % 5.32/1.63 | p(v0) | ~ $ki_accessible($ki_local_world, v0)) & ! [v0: $ki_world] % 5.32/1.63 | : ( ~ $ki_world(v0) | ~ p(v0) | ~ $ki_accessible($ki_local_world, v0) % 5.32/1.63 | | q(v0)) % 5.32/1.63 | % 5.32/1.63 | ALPHA: (2) implies: % 5.32/1.64 | (3) $ki_accessible($ki_local_world, all_5_0) % 5.32/1.64 | (4) p(all_5_0) % 5.32/1.64 | (5) $ki_world(all_5_0) % 5.32/1.64 | (6) ! [v0: $ki_world] : ( ~ $ki_world(v0) | ~ p(v0) | ~ % 5.32/1.64 | $ki_accessible($ki_local_world, v0) | q(v0)) % 5.32/1.64 | (7) ! [v0: $ki_world] : ( ~ $ki_world(v0) | ~ q(v0) | ~ p(v0) | ~ % 5.32/1.64 | $ki_accessible($ki_local_world, v0)) % 5.32/1.64 | % 5.32/1.64 | GROUND_INST: instantiating (6) with all_5_0, simplifying with (3), (4), (5) % 5.32/1.64 | gives: % 5.32/1.64 | (8) q(all_5_0) % 5.32/1.64 | % 5.32/1.64 | GROUND_INST: instantiating (7) with all_5_0, simplifying with (3), (4), (5), % 5.32/1.64 | (8) gives: % 5.32/1.64 | (9) $false % 5.32/1.65 | % 5.32/1.65 | CLOSE: (9) is inconsistent. % 5.32/1.65 | % 5.32/1.65 End of proof % 5.32/1.65 % SZS output end Proof for theBenchmark % 5.32/1.65 % 5.32/1.65 970ms %------------------------------------------------------------------------------