%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : PHI010+1 : TPTP v8.1.2. Released v7.2.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n010.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 12:56:39 EDT 2023 % Result : Theorem 4.38s 1.31s % Output : Proof 6.02s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PHI010+1 : TPTP v8.1.2. Released v7.2.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.12/0.33 % Computer : n010.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 300 % 0.12/0.33 % DateTime : Sun Aug 27 08:39:49 EDT 2023 % 0.12/0.34 % CPUTime : % 0.19/0.60 ________ _____ % 0.19/0.60 ___ __ \_________(_)________________________________ % 0.19/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.19/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.19/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.19/0.60 % 0.19/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.19/0.60 (2023-06-19) % 0.19/0.60 % 0.19/0.60 (c) Philipp Rümmer, 2009-2023 % 0.19/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.19/0.60 Amanda Stjerna. % 0.19/0.60 Free software under BSD-3-Clause. % 0.19/0.60 % 0.19/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.19/0.60 % 0.19/0.60 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.19/0.61 Running up to 7 provers in parallel. % 0.19/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.19/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.19/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.19/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.19/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.19/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.19/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.04/0.97 Prover 4: Preprocessing ... % 2.04/0.97 Prover 1: Preprocessing ... % 2.40/1.01 Prover 5: Preprocessing ... % 2.40/1.01 Prover 0: Preprocessing ... % 2.40/1.01 Prover 2: Preprocessing ... % 2.40/1.01 Prover 6: Preprocessing ... % 2.40/1.01 Prover 3: Preprocessing ... % 3.47/1.21 Prover 2: Constructing countermodel ... % 3.47/1.22 Prover 5: Constructing countermodel ... % 3.47/1.22 Prover 1: Constructing countermodel ... % 3.47/1.22 Prover 3: Constructing countermodel ... % 3.47/1.22 Prover 6: Proving ... % 4.38/1.30 Prover 5: proved (671ms) % 4.38/1.30 % 4.38/1.31 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 4.38/1.31 % 4.38/1.31 Prover 3: stopped % 4.38/1.31 Prover 2: stopped % 4.38/1.32 Prover 6: stopped % 4.38/1.33 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 4.38/1.33 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 4.38/1.33 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 4.38/1.33 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 4.38/1.34 Prover 7: Preprocessing ... % 4.38/1.34 Prover 4: Constructing countermodel ... % 4.38/1.35 Prover 8: Preprocessing ... % 4.38/1.36 Prover 10: Preprocessing ... % 4.38/1.36 Prover 11: Preprocessing ... % 4.38/1.40 Prover 10: Constructing countermodel ... % 4.38/1.40 Prover 0: Proving ... % 4.38/1.41 Prover 7: Constructing countermodel ... % 4.38/1.41 Prover 0: stopped % 4.38/1.42 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 4.38/1.44 Prover 13: Preprocessing ... % 4.96/1.45 Prover 1: Found proof (size 18) % 4.96/1.45 Prover 7: Found proof (size 7) % 4.96/1.45 Prover 10: Found proof (size 7) % 4.96/1.45 Prover 1: proved (830ms) % 4.96/1.45 Prover 10: proved (126ms) % 4.96/1.45 Prover 7: proved (142ms) % 4.96/1.45 Prover 4: stopped % 5.55/1.47 Prover 8: Warning: ignoring some quantifiers % 5.55/1.48 Prover 8: Constructing countermodel ... % 5.55/1.48 Prover 8: stopped % 5.55/1.49 Prover 13: Constructing countermodel ... % 5.55/1.50 Prover 13: stopped % 6.02/1.55 Prover 11: Constructing countermodel ... % 6.02/1.56 Prover 11: stopped % 6.02/1.56 % 6.02/1.56 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 6.02/1.56 % 6.02/1.56 % SZS output start Proof for theBenchmark % 6.02/1.57 Assumptions after simplification: % 6.02/1.57 --------------------------------- % 6.02/1.57 % 6.02/1.57 (description_axiom_identity_instance) % 6.02/1.60 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~ (is_the(v1, v0) = % 6.02/1.60 v3) | ~ (object(v2) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: % 6.02/1.60 any] : ? [v5: any] : (property(v0) = v4 & object(v1) = v5 & ( ~ (v5 = 0) % 6.02/1.60 | ~ (v4 = 0))) | (( ~ (v3 = 0) | ~ (v2 = v1) | % 6.02/1.60 (exemplifies_property(v0, v1) = 0 & object(v1) = 0 & ! [v4: $i] : (v4 = % 6.02/1.60 v1 | ~ (exemplifies_property(v0, v4) = 0) | ~ $i(v4) | ? [v5: % 6.02/1.60 int] : ( ~ (v5 = 0) & object(v4) = v5)))) & ( ~ % 6.02/1.60 (exemplifies_property(v0, v2) = 0) | ? [v4: $i] : ( ~ (v4 = v2) & % 6.02/1.60 exemplifies_property(v0, v4) = 0 & object(v4) = 0 & $i(v4)) | (v3 = 0 % 6.02/1.60 & v2 = v1)))) % 6.02/1.60 % 6.02/1.60 (lemma_1) % 6.02/1.60 ? [v0: $i] : ? [v1: $i] : ? [v2: int] : ( ~ (v2 = 0) & is_the(v0, v1) = 0 & % 6.02/1.60 exemplifies_property(v1, v0) = v2 & property(v1) = 0 & object(v0) = 0 & % 6.02/1.60 $i(v1) & $i(v0)) % 6.02/1.60 % 6.02/1.60 (function-axioms) % 6.02/1.61 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 6.02/1.61 [v3: $i] : (v1 = v0 | ~ (is_the(v3, v2) = v1) | ~ (is_the(v3, v2) = v0)) & % 6.02/1.61 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: % 6.02/1.61 $i] : (v1 = v0 | ~ (exemplifies_property(v3, v2) = v1) | ~ % 6.02/1.61 (exemplifies_property(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 6.02/1.61 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (property(v2) = v1) | ~ % 6.02/1.61 (property(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 6.02/1.61 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (object(v2) = v1) | ~ % 6.02/1.61 (object(v2) = v0)) % 6.02/1.61 % 6.02/1.61 Further assumptions not needed in the proof: % 6.02/1.61 -------------------------------------------- % 6.02/1.61 description_is_property_and_described_is_object, % 6.02/1.61 exemplifier_is_object_and_exemplified_is_property, objects_are_not_properties % 6.02/1.61 % 6.02/1.61 Those formulas are unsatisfiable: % 6.02/1.61 --------------------------------- % 6.02/1.61 % 6.02/1.61 Begin of proof % 6.02/1.61 | % 6.02/1.61 | ALPHA: (function-axioms) implies: % 6.02/1.61 | (1) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 6.02/1.61 | (v1 = v0 | ~ (object(v2) = v1) | ~ (object(v2) = v0)) % 6.02/1.61 | (2) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 6.02/1.61 | (v1 = v0 | ~ (property(v2) = v1) | ~ (property(v2) = v0)) % 6.02/1.61 | (3) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 6.02/1.61 | ! [v3: $i] : (v1 = v0 | ~ (exemplifies_property(v3, v2) = v1) | ~ % 6.02/1.61 | (exemplifies_property(v3, v2) = v0)) % 6.02/1.61 | % 6.02/1.61 | DELTA: instantiating (lemma_1) with fresh symbols all_7_0, all_7_1, all_7_2 % 6.02/1.61 | gives: % 6.02/1.61 | (4) ~ (all_7_0 = 0) & is_the(all_7_2, all_7_1) = 0 & % 6.02/1.61 | exemplifies_property(all_7_1, all_7_2) = all_7_0 & property(all_7_1) = % 6.02/1.61 | 0 & object(all_7_2) = 0 & $i(all_7_1) & $i(all_7_2) % 6.02/1.61 | % 6.02/1.61 | ALPHA: (4) implies: % 6.02/1.61 | (5) ~ (all_7_0 = 0) % 6.02/1.62 | (6) $i(all_7_2) % 6.02/1.62 | (7) $i(all_7_1) % 6.02/1.62 | (8) object(all_7_2) = 0 % 6.02/1.62 | (9) property(all_7_1) = 0 % 6.02/1.62 | (10) exemplifies_property(all_7_1, all_7_2) = all_7_0 % 6.02/1.62 | (11) is_the(all_7_2, all_7_1) = 0 % 6.02/1.62 | % 6.02/1.62 | GROUND_INST: instantiating (description_axiom_identity_instance) with all_7_1, % 6.02/1.62 | all_7_2, all_7_2, 0, simplifying with (6), (7), (8), (11) gives: % 6.02/1.62 | (12) ? [v0: any] : ? [v1: any] : (property(all_7_1) = v0 & % 6.02/1.62 | object(all_7_2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0))) | % 6.02/1.62 | (exemplifies_property(all_7_1, all_7_2) = 0 & ! [v0: any] : (v0 = % 6.02/1.62 | all_7_2 | ~ (exemplifies_property(all_7_1, v0) = 0) | ~ $i(v0) | % 6.02/1.62 | ? [v1: int] : ( ~ (v1 = 0) & object(v0) = v1))) % 6.02/1.62 | % 6.02/1.62 | BETA: splitting (12) gives: % 6.02/1.62 | % 6.02/1.62 | Case 1: % 6.02/1.62 | | % 6.02/1.62 | | (13) ? [v0: any] : ? [v1: any] : (property(all_7_1) = v0 & % 6.02/1.62 | | object(all_7_2) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 6.02/1.62 | | % 6.02/1.62 | | DELTA: instantiating (13) with fresh symbols all_19_0, all_19_1 gives: % 6.02/1.62 | | (14) property(all_7_1) = all_19_1 & object(all_7_2) = all_19_0 & ( ~ % 6.02/1.62 | | (all_19_0 = 0) | ~ (all_19_1 = 0)) % 6.02/1.62 | | % 6.02/1.62 | | ALPHA: (14) implies: % 6.02/1.62 | | (15) object(all_7_2) = all_19_0 % 6.02/1.62 | | (16) property(all_7_1) = all_19_1 % 6.02/1.62 | | (17) ~ (all_19_0 = 0) | ~ (all_19_1 = 0) % 6.02/1.62 | | % 6.02/1.62 | | GROUND_INST: instantiating (1) with 0, all_19_0, all_7_2, simplifying with % 6.02/1.62 | | (8), (15) gives: % 6.02/1.62 | | (18) all_19_0 = 0 % 6.02/1.62 | | % 6.02/1.62 | | GROUND_INST: instantiating (2) with 0, all_19_1, all_7_1, simplifying with % 6.02/1.62 | | (9), (16) gives: % 6.02/1.63 | | (19) all_19_1 = 0 % 6.02/1.63 | | % 6.02/1.63 | | BETA: splitting (17) gives: % 6.02/1.63 | | % 6.02/1.63 | | Case 1: % 6.02/1.63 | | | % 6.02/1.63 | | | (20) ~ (all_19_0 = 0) % 6.02/1.63 | | | % 6.02/1.63 | | | REDUCE: (18), (20) imply: % 6.02/1.63 | | | (21) $false % 6.02/1.63 | | | % 6.02/1.63 | | | CLOSE: (21) is inconsistent. % 6.02/1.63 | | | % 6.02/1.63 | | Case 2: % 6.02/1.63 | | | % 6.02/1.63 | | | (22) ~ (all_19_1 = 0) % 6.02/1.63 | | | % 6.02/1.63 | | | REDUCE: (19), (22) imply: % 6.02/1.63 | | | (23) $false % 6.02/1.63 | | | % 6.02/1.63 | | | CLOSE: (23) is inconsistent. % 6.02/1.63 | | | % 6.02/1.63 | | End of split % 6.02/1.63 | | % 6.02/1.63 | Case 2: % 6.02/1.63 | | % 6.02/1.63 | | (24) exemplifies_property(all_7_1, all_7_2) = 0 & ! [v0: any] : (v0 = % 6.02/1.63 | | all_7_2 | ~ (exemplifies_property(all_7_1, v0) = 0) | ~ $i(v0) | % 6.02/1.63 | | ? [v1: int] : ( ~ (v1 = 0) & object(v0) = v1)) % 6.02/1.63 | | % 6.02/1.63 | | ALPHA: (24) implies: % 6.02/1.63 | | (25) exemplifies_property(all_7_1, all_7_2) = 0 % 6.02/1.63 | | % 6.02/1.63 | | GROUND_INST: instantiating (3) with all_7_0, 0, all_7_2, all_7_1, % 6.02/1.63 | | simplifying with (10), (25) gives: % 6.02/1.63 | | (26) all_7_0 = 0 % 6.02/1.63 | | % 6.02/1.63 | | REDUCE: (5), (26) imply: % 6.02/1.63 | | (27) $false % 6.02/1.63 | | % 6.02/1.63 | | CLOSE: (27) is inconsistent. % 6.02/1.63 | | % 6.02/1.63 | End of split % 6.02/1.63 | % 6.02/1.63 End of proof % 6.02/1.63 % SZS output end Proof for theBenchmark % 6.02/1.63 % 6.02/1.63 1028ms %------------------------------------------------------------------------------