%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : KRS075+1 : TPTP v8.1.2. Released v3.1.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n020.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 05:51:09 EDT 2023 % Result : Unsatisfiable 5.77s 1.54s % Output : Proof 8.03s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS075+1 : TPTP v8.1.2. Released v3.1.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.34 % Computer : n020.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 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Mon Aug 28 02:12:59 EDT 2023 % 0.13/0.35 % CPUTime : % 0.20/0.58 ________ _____ % 0.20/0.58 ___ __ \_________(_)________________________________ % 0.20/0.58 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.20/0.58 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.20/0.58 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.20/0.58 % 0.20/0.58 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.20/0.58 (2023-06-19) % 0.20/0.58 % 0.20/0.58 (c) Philipp Rümmer, 2009-2023 % 0.20/0.58 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.20/0.58 Amanda Stjerna. % 0.20/0.58 Free software under BSD-3-Clause. % 0.20/0.58 % 0.20/0.58 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.20/0.58 % 0.20/0.58 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.20/0.59 Running up to 7 provers in parallel. % 0.20/0.61 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.20/0.61 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.20/0.61 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.20/0.61 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.20/0.61 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.20/0.61 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.20/0.61 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.57/1.08 Prover 1: Preprocessing ... % 2.57/1.09 Prover 4: Preprocessing ... % 2.57/1.12 Prover 3: Preprocessing ... % 2.57/1.12 Prover 6: Preprocessing ... % 2.57/1.12 Prover 2: Preprocessing ... % 2.57/1.12 Prover 0: Preprocessing ... % 2.57/1.12 Prover 5: Preprocessing ... % 4.68/1.37 Prover 5: Proving ... % 4.68/1.37 Prover 2: Proving ... % 4.68/1.42 Prover 3: Constructing countermodel ... % 4.68/1.44 Prover 6: Proving ... % 4.68/1.44 Prover 1: Constructing countermodel ... % 4.68/1.52 Prover 6: gave up % 4.68/1.52 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 5.77/1.53 Prover 0: Proving ... % 5.77/1.53 Prover 2: proved (936ms) % 5.77/1.53 Prover 5: proved (931ms) % 5.77/1.54 % 5.77/1.54 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p % 5.77/1.54 % 5.77/1.54 % 5.77/1.54 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p % 5.77/1.54 % 5.77/1.54 Prover 3: stopped % 5.77/1.54 Prover 0: stopped % 5.77/1.54 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 5.77/1.54 Prover 1: gave up % 5.77/1.54 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 5.77/1.54 Prover 4: Constructing countermodel ... % 5.77/1.54 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 5.77/1.54 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 5.77/1.55 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 5.77/1.58 Prover 7: Preprocessing ... % 6.53/1.59 Prover 13: Preprocessing ... % 6.53/1.59 Prover 11: Preprocessing ... % 6.53/1.59 Prover 10: Preprocessing ... % 6.53/1.59 Prover 16: Preprocessing ... % 6.53/1.61 Prover 8: Preprocessing ... % 6.53/1.63 Prover 13: Warning: ignoring some quantifiers % 6.53/1.63 Prover 7: Warning: ignoring some quantifiers % 6.53/1.64 Prover 13: Constructing countermodel ... % 6.53/1.64 Prover 10: Warning: ignoring some quantifiers % 6.53/1.64 Prover 16: Warning: ignoring some quantifiers % 6.53/1.64 Prover 7: Constructing countermodel ... % 6.53/1.64 Prover 10: Constructing countermodel ... % 6.53/1.64 Prover 16: Constructing countermodel ... % 7.62/1.73 Prover 10: Found proof (size 20) % 7.62/1.73 Prover 7: Found proof (size 20) % 7.62/1.73 Prover 10: proved (192ms) % 7.62/1.73 Prover 7: proved (210ms) % 7.62/1.74 Prover 8: Warning: ignoring some quantifiers % 7.62/1.74 Prover 16: stopped % 7.62/1.74 Prover 8: Constructing countermodel ... % 7.62/1.74 Prover 13: Found proof (size 20) % 7.62/1.74 Prover 13: proved (201ms) % 7.62/1.74 Prover 4: stopped % 7.62/1.75 Prover 8: stopped % 7.62/1.78 Prover 11: Constructing countermodel ... % 7.62/1.79 Prover 11: stopped % 7.62/1.79 % 7.62/1.79 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p % 7.62/1.79 % 7.62/1.80 % SZS output start Proof for theBenchmark % 7.62/1.80 Assumptions after simplification: % 7.62/1.80 --------------------------------- % 7.62/1.80 % 7.62/1.80 (axiom_10) % 7.62/1.80 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ rs(v0, v1) | rf1(v0, % 7.62/1.81 v1)) % 7.62/1.81 % 7.62/1.81 (axiom_11) % 7.62/1.81 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ rs(v0, v1) | rf(v0, % 7.62/1.81 v1)) % 7.62/1.81 % 7.62/1.81 (axiom_2) % 7.62/1.81 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~ $i(v2) % 7.62/1.81 | ~ $i(v1) | ~ $i(v0) | ~ rs(v0, v2) | ~ rf1(v0, v3) | ~ rf(v0, v1) | % 7.62/1.81 ~ cp(v1) | ~ cowlThing(v2) | cp(v3) | cUnsatisfiable(v0)) & ! [v0: $i] : ( % 7.62/1.81 ~ $i(v0) | ~ cUnsatisfiable(v0) | ? [v1: $i] : ($i(v1) & rs(v0, v1) & % 7.62/1.81 cowlThing(v1))) & ! [v0: $i] : ( ~ $i(v0) | ~ cUnsatisfiable(v0) | ? % 7.62/1.81 [v1: $i] : ($i(v1) & rf1(v0, v1) & ~ cp(v1))) & ! [v0: $i] : ( ~ $i(v0) | % 7.62/1.81 ~ cUnsatisfiable(v0) | ? [v1: $i] : ($i(v1) & rf(v0, v1) & cp(v1))) % 7.62/1.81 % 7.62/1.81 (axiom_3) % 7.62/1.81 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~ $i(v2) | ~ $i(v1) | % 7.62/1.81 ~ $i(v0) | ~ rf(v0, v2) | ~ rf(v0, v1)) % 7.62/1.81 % 7.62/1.81 (axiom_4) % 7.62/1.82 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~ $i(v2) | ~ $i(v1) | % 7.62/1.82 ~ $i(v0) | ~ rf1(v0, v2) | ~ rf1(v0, v1)) % 7.62/1.82 % 7.62/1.82 (axiom_9) % 7.62/1.82 $i(i2003_11_14_17_19_02584) & cUnsatisfiable(i2003_11_14_17_19_02584) % 7.62/1.82 % 7.62/1.82 Further assumptions not needed in the proof: % 7.62/1.82 -------------------------------------------- % 7.62/1.82 axiom_0, axiom_1, axiom_5, axiom_6, axiom_7, axiom_8, % 7.62/1.82 cUnsatisfiable_substitution_1, cowlNothing_substitution_1, % 7.62/1.82 cowlThing_substitution_1, cp_substitution_1, rf1_substitution_1, % 7.62/1.82 rf1_substitution_2, rf_substitution_1, rf_substitution_2, rinvF1_substitution_1, % 7.62/1.82 rinvF1_substitution_2, rinvF_substitution_1, rinvF_substitution_2, % 7.62/1.82 rinvS_substitution_1, rinvS_substitution_2, rs_substitution_1, % 7.62/1.82 rs_substitution_2, xsd_integer_substitution_1, xsd_string_substitution_1 % 7.62/1.82 % 7.62/1.82 Those formulas are unsatisfiable: % 7.62/1.82 --------------------------------- % 7.62/1.82 % 7.62/1.82 Begin of proof % 7.62/1.82 | % 7.62/1.82 | ALPHA: (axiom_9) implies: % 7.62/1.82 | (1) cUnsatisfiable(i2003_11_14_17_19_02584) % 7.62/1.82 | (2) $i(i2003_11_14_17_19_02584) % 7.62/1.82 | % 7.62/1.82 | ALPHA: (axiom_2) implies: % 7.62/1.82 | (3) ! [v0: $i] : ( ~ $i(v0) | ~ cUnsatisfiable(v0) | ? [v1: $i] : % 7.62/1.82 | ($i(v1) & rf(v0, v1) & cp(v1))) % 7.62/1.82 | (4) ! [v0: $i] : ( ~ $i(v0) | ~ cUnsatisfiable(v0) | ? [v1: $i] : % 7.62/1.82 | ($i(v1) & rf1(v0, v1) & ~ cp(v1))) % 8.03/1.83 | (5) ! [v0: $i] : ( ~ $i(v0) | ~ cUnsatisfiable(v0) | ? [v1: $i] : % 8.03/1.83 | ($i(v1) & rs(v0, v1) & cowlThing(v1))) % 8.03/1.83 | % 8.03/1.83 | GROUND_INST: instantiating (5) with i2003_11_14_17_19_02584, simplifying with % 8.03/1.83 | (1), (2) gives: % 8.03/1.83 | (6) ? [v0: $i] : ($i(v0) & rs(i2003_11_14_17_19_02584, v0) & % 8.03/1.83 | cowlThing(v0)) % 8.03/1.83 | % 8.03/1.83 | GROUND_INST: instantiating (4) with i2003_11_14_17_19_02584, simplifying with % 8.03/1.83 | (1), (2) gives: % 8.03/1.83 | (7) ? [v0: $i] : ($i(v0) & rf1(i2003_11_14_17_19_02584, v0) & ~ cp(v0)) % 8.03/1.83 | % 8.03/1.83 | GROUND_INST: instantiating (3) with i2003_11_14_17_19_02584, simplifying with % 8.03/1.83 | (1), (2) gives: % 8.03/1.83 | (8) ? [v0: $i] : ($i(v0) & rf(i2003_11_14_17_19_02584, v0) & cp(v0)) % 8.03/1.83 | % 8.03/1.83 | DELTA: instantiating (8) with fresh symbol all_21_0 gives: % 8.03/1.83 | (9) $i(all_21_0) & rf(i2003_11_14_17_19_02584, all_21_0) & cp(all_21_0) % 8.03/1.83 | % 8.03/1.83 | ALPHA: (9) implies: % 8.03/1.83 | (10) cp(all_21_0) % 8.03/1.83 | (11) rf(i2003_11_14_17_19_02584, all_21_0) % 8.03/1.83 | (12) $i(all_21_0) % 8.03/1.83 | % 8.03/1.83 | DELTA: instantiating (7) with fresh symbol all_23_0 gives: % 8.03/1.83 | (13) $i(all_23_0) & rf1(i2003_11_14_17_19_02584, all_23_0) & ~ % 8.03/1.83 | cp(all_23_0) % 8.03/1.83 | % 8.03/1.83 | ALPHA: (13) implies: % 8.03/1.83 | (14) ~ cp(all_23_0) % 8.03/1.83 | (15) rf1(i2003_11_14_17_19_02584, all_23_0) % 8.03/1.83 | (16) $i(all_23_0) % 8.03/1.83 | % 8.03/1.83 | DELTA: instantiating (6) with fresh symbol all_25_0 gives: % 8.03/1.83 | (17) $i(all_25_0) & rs(i2003_11_14_17_19_02584, all_25_0) & % 8.03/1.83 | cowlThing(all_25_0) % 8.03/1.83 | % 8.03/1.83 | ALPHA: (17) implies: % 8.03/1.84 | (18) rs(i2003_11_14_17_19_02584, all_25_0) % 8.03/1.84 | (19) $i(all_25_0) % 8.03/1.84 | % 8.03/1.84 | GROUND_INST: instantiating (axiom_10) with i2003_11_14_17_19_02584, all_25_0, % 8.03/1.84 | simplifying with (2), (18), (19) gives: % 8.03/1.84 | (20) rf1(i2003_11_14_17_19_02584, all_25_0) % 8.03/1.84 | % 8.03/1.84 | GROUND_INST: instantiating (axiom_11) with i2003_11_14_17_19_02584, all_25_0, % 8.03/1.84 | simplifying with (2), (18), (19) gives: % 8.03/1.84 | (21) rf(i2003_11_14_17_19_02584, all_25_0) % 8.03/1.84 | % 8.03/1.84 | GROUND_INST: instantiating (axiom_3) with i2003_11_14_17_19_02584, all_21_0, % 8.03/1.84 | all_25_0, simplifying with (2), (11), (12), (19), (21) gives: % 8.03/1.84 | (22) all_25_0 = all_21_0 % 8.03/1.84 | % 8.03/1.84 | GROUND_INST: instantiating (axiom_4) with i2003_11_14_17_19_02584, all_23_0, % 8.03/1.84 | all_25_0, simplifying with (2), (15), (16), (19), (20) gives: % 8.03/1.84 | (23) all_25_0 = all_23_0 % 8.03/1.84 | % 8.03/1.84 | COMBINE_EQS: (22), (23) imply: % 8.03/1.84 | (24) all_23_0 = all_21_0 % 8.03/1.84 | % 8.03/1.84 | SIMP: (24) implies: % 8.03/1.84 | (25) all_23_0 = all_21_0 % 8.03/1.84 | % 8.03/1.84 | REDUCE: (14), (25) imply: % 8.03/1.84 | (26) ~ cp(all_21_0) % 8.03/1.84 | % 8.03/1.84 | PRED_UNIFY: (10), (26) imply: % 8.03/1.84 | (27) $false % 8.03/1.84 | % 8.03/1.84 | CLOSE: (27) is inconsistent. % 8.03/1.84 | % 8.03/1.84 End of proof % 8.03/1.84 % SZS output end Proof for theBenchmark % 8.03/1.84 % 8.03/1.84 1265ms %------------------------------------------------------------------------------