%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : NUM387+1 : TPTP v8.1.2. Released v3.2.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n015.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 : Thu Aug 31 11:47:33 EDT 2023 % Result : Theorem 6.87s 1.60s % Output : Proof 8.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM387+1 : TPTP v8.1.2. Released v3.2.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.34 % Computer : n015.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 : Fri Aug 25 09:21:51 EDT 2023 % 0.19/0.34 % CPUTime : % 0.19/0.58 ________ _____ % 0.19/0.58 ___ __ \_________(_)________________________________ % 0.19/0.58 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.19/0.58 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.19/0.58 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.19/0.58 % 0.19/0.58 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.19/0.58 (2023-06-19) % 0.19/0.58 % 0.19/0.58 (c) Philipp Rümmer, 2009-2023 % 0.19/0.58 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.19/0.58 Amanda Stjerna. % 0.19/0.58 Free software under BSD-3-Clause. % 0.19/0.58 % 0.19/0.58 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.19/0.58 % 0.19/0.58 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.19/0.59 Running up to 7 provers in parallel. % 0.19/0.60 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.19/0.60 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.19/0.60 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.19/0.60 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.19/0.61 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.19/0.61 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.19/0.61 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.37/1.00 Prover 1: Preprocessing ... % 2.37/1.00 Prover 4: Preprocessing ... % 2.37/1.04 Prover 6: Preprocessing ... % 2.37/1.04 Prover 0: Preprocessing ... % 2.37/1.04 Prover 3: Preprocessing ... % 2.37/1.04 Prover 5: Preprocessing ... % 2.37/1.04 Prover 2: Preprocessing ... % 4.49/1.33 Prover 1: Warning: ignoring some quantifiers % 5.21/1.37 Prover 3: Warning: ignoring some quantifiers % 5.21/1.37 Prover 1: Constructing countermodel ... % 5.21/1.37 Prover 5: Proving ... % 5.21/1.38 Prover 2: Proving ... % 5.21/1.38 Prover 4: Warning: ignoring some quantifiers % 5.21/1.39 Prover 3: Constructing countermodel ... % 5.21/1.39 Prover 6: Proving ... % 5.21/1.40 Prover 4: Constructing countermodel ... % 5.21/1.41 Prover 0: Proving ... % 6.75/1.60 Prover 5: proved (994ms) % 6.87/1.60 % 6.87/1.60 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 6.87/1.60 % 6.87/1.60 Prover 3: stopped % 6.87/1.60 Prover 2: stopped % 6.87/1.60 Prover 6: stopped % 6.87/1.60 Prover 0: stopped % 6.87/1.60 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 6.87/1.60 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 6.87/1.60 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 6.87/1.60 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 6.87/1.60 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 6.96/1.65 Prover 10: Preprocessing ... % 6.96/1.65 Prover 7: Preprocessing ... % 6.96/1.65 Prover 8: Preprocessing ... % 6.96/1.67 Prover 13: Preprocessing ... % 6.96/1.68 Prover 1: gave up % 6.96/1.69 Prover 11: Preprocessing ... % 6.96/1.69 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 6.96/1.70 Prover 10: Warning: ignoring some quantifiers % 6.96/1.71 Prover 10: Constructing countermodel ... % 7.68/1.72 Prover 16: Preprocessing ... % 7.68/1.74 Prover 7: Warning: ignoring some quantifiers % 7.68/1.76 Prover 7: Constructing countermodel ... % 7.68/1.77 Prover 16: Warning: ignoring some quantifiers % 7.68/1.78 Prover 13: Warning: ignoring some quantifiers % 7.68/1.78 Prover 16: Constructing countermodel ... % 7.68/1.79 Prover 10: Found proof (size 5) % 7.68/1.79 Prover 10: proved (183ms) % 7.68/1.79 Prover 7: stopped % 7.68/1.79 Prover 4: stopped % 7.68/1.79 Prover 16: stopped % 8.35/1.80 Prover 13: Constructing countermodel ... % 8.35/1.80 Prover 8: Warning: ignoring some quantifiers % 8.35/1.80 Prover 13: stopped % 8.35/1.81 Prover 8: Constructing countermodel ... % 8.35/1.82 Prover 8: stopped % 8.35/1.82 Prover 11: Warning: ignoring some quantifiers % 8.35/1.83 Prover 11: Constructing countermodel ... % 8.35/1.84 Prover 11: stopped % 8.35/1.84 % 8.35/1.84 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 8.35/1.84 % 8.35/1.84 % SZS output start Proof for theBenchmark % 8.35/1.84 Assumptions after simplification: % 8.35/1.84 --------------------------------- % 8.35/1.84 % 8.35/1.84 (antisymmetry_r2_hidden) % 8.35/1.85 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ in(v1, v0) | ~ in(v0, % 8.35/1.85 v1)) % 8.35/1.85 % 8.35/1.85 (t10_ordinal1) % 8.35/1.87 ! [v0: $i] : ! [v1: $i] : ( ~ (succ(v0) = v1) | ~ $i(v0) | in(v0, v1)) % 8.35/1.87 % 8.35/1.87 (t14_ordinal1) % 8.35/1.87 ? [v0: $i] : (succ(v0) = v0 & $i(v0)) % 8.35/1.87 % 8.35/1.87 Further assumptions not needed in the proof: % 8.35/1.87 -------------------------------------------- % 8.35/1.87 cc1_funct_1, cc1_relat_1, cc2_funct_1, commutativity_k2_xboole_0, d1_ordinal1, % 8.35/1.87 existence_m1_subset_1, fc12_relat_1, fc1_ordinal1, fc1_xboole_0, fc2_relat_1, % 8.35/1.87 fc2_xboole_0, fc3_xboole_0, fc4_relat_1, idempotence_k2_xboole_0, rc1_funct_1, % 8.35/1.87 rc1_relat_1, rc1_xboole_0, rc2_funct_1, rc2_relat_1, rc2_xboole_0, rc3_funct_1, % 8.35/1.87 rc3_relat_1, rc4_funct_1, rc5_funct_1, t1_boole, t1_subset, t2_subset, t6_boole, % 8.35/1.87 t7_boole, t8_boole % 8.35/1.87 % 8.35/1.87 Those formulas are unsatisfiable: % 8.35/1.87 --------------------------------- % 8.35/1.87 % 8.35/1.87 Begin of proof % 8.35/1.87 | % 8.35/1.87 | DELTA: instantiating (t14_ordinal1) with fresh symbol all_22_0 gives: % 8.35/1.87 | (1) succ(all_22_0) = all_22_0 & $i(all_22_0) % 8.35/1.87 | % 8.35/1.87 | ALPHA: (1) implies: % 8.35/1.87 | (2) $i(all_22_0) % 8.35/1.87 | (3) succ(all_22_0) = all_22_0 % 8.35/1.87 | % 8.35/1.88 | GROUND_INST: instantiating (t10_ordinal1) with all_22_0, all_22_0, simplifying % 8.35/1.88 | with (2), (3) gives: % 8.35/1.88 | (4) in(all_22_0, all_22_0) % 8.35/1.88 | % 8.35/1.88 | GROUND_INST: instantiating (antisymmetry_r2_hidden) with all_22_0, all_22_0, % 8.35/1.88 | simplifying with (2), (4) gives: % 8.35/1.88 | (5) $false % 8.35/1.88 | % 8.35/1.88 | CLOSE: (5) is inconsistent. % 8.35/1.88 | % 8.35/1.88 End of proof % 8.35/1.88 % SZS output end Proof for theBenchmark % 8.35/1.88 % 8.35/1.88 1298ms %------------------------------------------------------------------------------