%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SWB011+2 : TPTP v8.1.2. Released v5.2.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n022.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 20:11:39 EDT 2023 % Result : Unsatisfiable 2.83s 1.53s % Output : Proof 4.00s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.16 % Problem : SWB011+2 : TPTP v8.1.2. Released v5.2.0. % 0.07/0.18 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.08/0.37 % Computer : n022.cluster.edu % 0.08/0.37 % Model : x86_64 x86_64 % 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.37 % Memory : 8042.1875MB % 0.08/0.37 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.37 % CPULimit : 300 % 0.08/0.37 % WCLimit : 300 % 0.08/0.37 % DateTime : Sun Aug 27 06:57:54 EDT 2023 % 0.08/0.38 % CPUTime : % 0.13/0.67 ________ _____ % 0.13/0.67 ___ __ \_________(_)________________________________ % 0.13/0.67 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.13/0.67 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.13/0.67 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.13/0.67 % 0.13/0.67 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.13/0.67 (2023-06-19) % 0.13/0.67 % 0.13/0.67 (c) Philipp Rümmer, 2009-2023 % 0.13/0.67 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.13/0.67 Amanda Stjerna. % 0.13/0.67 Free software under BSD-3-Clause. % 0.13/0.67 % 0.13/0.67 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.13/0.67 % 0.13/0.67 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.13/0.68 Running up to 7 provers in parallel. % 0.13/0.76 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.13/0.76 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.13/0.76 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.13/0.76 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.13/0.76 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.13/0.76 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 0.13/0.76 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 1.47/1.06 Prover 1: Preprocessing ... % 1.47/1.06 Prover 4: Preprocessing ... % 1.68/1.15 Prover 6: Preprocessing ... % 1.68/1.15 Prover 2: Preprocessing ... % 1.68/1.15 Prover 5: Preprocessing ... % 1.68/1.15 Prover 3: Preprocessing ... % 1.68/1.16 Prover 0: Preprocessing ... % 2.08/1.34 Prover 5: Constructing countermodel ... % 2.08/1.36 Prover 2: Constructing countermodel ... % 2.08/1.37 Prover 1: Constructing countermodel ... % 2.08/1.40 Prover 3: Constructing countermodel ... % 2.08/1.40 Prover 6: Proving ... % 2.08/1.42 Prover 4: Constructing countermodel ... % 2.83/1.49 Prover 0: Proving ... % 2.83/1.53 Prover 3: proved (800ms) % 2.83/1.53 % 2.83/1.53 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p % 2.83/1.53 % 2.83/1.55 Prover 5: stopped % 3.13/1.56 Prover 2: stopped % 3.21/1.59 Prover 0: stopped % 3.21/1.59 Prover 6: stopped % 3.21/1.60 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 3.21/1.60 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 3.21/1.60 Prover 7: Preprocessing ... % 3.21/1.60 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 3.21/1.60 Prover 8: Preprocessing ... % 3.21/1.60 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 3.21/1.61 Prover 1: Found proof (size 14) % 3.21/1.61 Prover 1: proved (912ms) % 3.21/1.61 Prover 11: Preprocessing ... % 3.21/1.61 Prover 10: Preprocessing ... % 3.21/1.61 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 3.37/1.62 Prover 7: Constructing countermodel ... % 3.37/1.62 Prover 4: stopped % 3.37/1.62 Prover 7: stopped % 3.37/1.63 Prover 13: Preprocessing ... % 3.43/1.65 Prover 10: Constructing countermodel ... % 3.43/1.66 Prover 10: stopped % 3.43/1.67 Prover 13: Constructing countermodel ... % 3.43/1.67 Prover 11: stopped % 3.43/1.68 Prover 13: stopped % 3.43/1.69 Prover 8: Warning: ignoring some quantifiers % 3.43/1.69 Prover 8: Constructing countermodel ... % 3.43/1.71 Prover 8: stopped % 3.43/1.71 % 3.43/1.71 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p % 3.43/1.71 % 3.43/1.71 % SZS output start Proof for theBenchmark % 3.66/1.72 Assumptions after simplification: % 3.66/1.72 --------------------------------- % 3.66/1.72 % 3.66/1.72 (owl_eqdis_disjointwith) % 3.80/1.78 $i(uri_owl_disjointWith) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 % 3.80/1.78 | ~ (iext(uri_owl_disjointWith, v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? % 3.80/1.78 [v3: any] : ? [v4: any] : (ic(v1) = v4 & ic(v0) = v3 & ( ~ (v4 = 0) | ~ % 3.80/1.78 (v3 = 0))) | ? [v3: $i] : (icext(v1, v3) = 0 & icext(v0, v3) = 0 & % 3.80/1.78 $i(v3))) & ! [v0: $i] : ! [v1: $i] : ( ~ (iext(uri_owl_disjointWith, v0, % 3.80/1.78 v1) = 0) | ~ $i(v1) | ~ $i(v0) | (ic(v1) = 0 & ic(v0) = 0 & ! [v2: % 3.80/1.78 $i] : ( ~ (icext(v0, v2) = 0) | ~ $i(v2) | ? [v3: int] : ( ~ (v3 = 0) % 3.80/1.78 & icext(v1, v2) = v3)))) % 3.80/1.78 % 3.80/1.78 (rdfs_cext_def) % 3.80/1.78 $i(uri_rdf_type) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ % 3.80/1.78 (iext(uri_rdf_type, v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( % 3.80/1.78 ~ (v3 = 0) & icext(v1, v0) = v3)) & ! [v0: $i] : ! [v1: $i] : ( ~ % 3.80/1.78 (iext(uri_rdf_type, v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | icext(v1, v0) = % 3.80/1.78 0) % 3.80/1.78 % 3.80/1.78 (testcase_premise_fullish_011_Entity_Types_as_Classes) % 3.80/1.78 iext(uri_owl_disjointWith, uri_owl_Class, uri_owl_ObjectProperty) = 0 & % 3.80/1.78 iext(uri_rdf_type, uri_ex_x, uri_owl_ObjectProperty) = 0 & iext(uri_rdf_type, % 3.80/1.78 uri_ex_x, uri_owl_Class) = 0 & $i(uri_ex_x) & $i(uri_owl_ObjectProperty) & % 3.80/1.79 $i(uri_owl_Class) & $i(uri_owl_disjointWith) & $i(uri_rdf_type) % 3.80/1.79 % 3.80/1.79 (function-axioms) % 3.80/1.80 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 3.80/1.80 [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (iext(v4, v3, v2) = v1) | ~ (iext(v4, % 3.80/1.80 v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] % 3.80/1.80 : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (icext(v3, v2) = v1) | ~ % 3.80/1.80 (icext(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 3.80/1.80 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (ic(v2) = v1) | ~ (ic(v2) % 3.80/1.80 = v0)) % 3.80/1.80 % 3.80/1.80 Those formulas are unsatisfiable: % 3.80/1.80 --------------------------------- % 3.80/1.80 % 3.80/1.80 Begin of proof % 3.80/1.80 | % 3.80/1.80 | ALPHA: (rdfs_cext_def) implies: % 3.80/1.81 | (1) ! [v0: $i] : ! [v1: $i] : ( ~ (iext(uri_rdf_type, v0, v1) = 0) | ~ % 3.80/1.82 | $i(v1) | ~ $i(v0) | icext(v1, v0) = 0) % 3.80/1.82 | % 3.80/1.82 | ALPHA: (owl_eqdis_disjointwith) implies: % 3.80/1.83 | (2) ! [v0: $i] : ! [v1: $i] : ( ~ (iext(uri_owl_disjointWith, v0, v1) = % 3.80/1.83 | 0) | ~ $i(v1) | ~ $i(v0) | (ic(v1) = 0 & ic(v0) = 0 & ! [v2: $i] % 3.80/1.83 | : ( ~ (icext(v0, v2) = 0) | ~ $i(v2) | ? [v3: int] : ( ~ (v3 = 0) % 3.80/1.83 | & icext(v1, v2) = v3)))) % 3.80/1.83 | % 3.80/1.83 | ALPHA: (testcase_premise_fullish_011_Entity_Types_as_Classes) implies: % 3.80/1.83 | (3) $i(uri_owl_Class) % 3.80/1.84 | (4) $i(uri_owl_ObjectProperty) % 3.80/1.84 | (5) $i(uri_ex_x) % 3.80/1.84 | (6) iext(uri_rdf_type, uri_ex_x, uri_owl_Class) = 0 % 3.80/1.84 | (7) iext(uri_rdf_type, uri_ex_x, uri_owl_ObjectProperty) = 0 % 3.80/1.84 | (8) iext(uri_owl_disjointWith, uri_owl_Class, uri_owl_ObjectProperty) = 0 % 3.80/1.84 | % 3.80/1.84 | ALPHA: (function-axioms) implies: % 3.80/1.84 | (9) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 3.80/1.84 | ! [v3: $i] : (v1 = v0 | ~ (icext(v3, v2) = v1) | ~ (icext(v3, v2) = % 3.80/1.84 | v0)) % 3.80/1.84 | % 3.80/1.85 | GROUND_INST: instantiating (1) with uri_ex_x, uri_owl_Class, simplifying with % 3.80/1.85 | (3), (5), (6) gives: % 3.97/1.86 | (10) icext(uri_owl_Class, uri_ex_x) = 0 % 3.97/1.86 | % 3.97/1.86 | GROUND_INST: instantiating (1) with uri_ex_x, uri_owl_ObjectProperty, % 3.97/1.86 | simplifying with (4), (5), (7) gives: % 3.97/1.86 | (11) icext(uri_owl_ObjectProperty, uri_ex_x) = 0 % 3.97/1.86 | % 3.97/1.86 | GROUND_INST: instantiating (2) with uri_owl_Class, uri_owl_ObjectProperty, % 3.97/1.86 | simplifying with (3), (4), (8) gives: % 3.97/1.86 | (12) ic(uri_owl_ObjectProperty) = 0 & ic(uri_owl_Class) = 0 & ! [v0: $i] : % 3.97/1.86 | ( ~ (icext(uri_owl_Class, v0) = 0) | ~ $i(v0) | ? [v1: int] : ( ~ % 3.97/1.86 | (v1 = 0) & icext(uri_owl_ObjectProperty, v0) = v1)) % 3.97/1.86 | % 3.97/1.86 | ALPHA: (12) implies: % 3.97/1.86 | (13) ! [v0: $i] : ( ~ (icext(uri_owl_Class, v0) = 0) | ~ $i(v0) | ? [v1: % 3.97/1.86 | int] : ( ~ (v1 = 0) & icext(uri_owl_ObjectProperty, v0) = v1)) % 3.97/1.86 | % 3.97/1.86 | GROUND_INST: instantiating (13) with uri_ex_x, simplifying with (5), (10) % 3.97/1.86 | gives: % 3.97/1.88 | (14) ? [v0: int] : ( ~ (v0 = 0) & icext(uri_owl_ObjectProperty, uri_ex_x) % 3.97/1.88 | = v0) % 3.97/1.88 | % 3.97/1.88 | DELTA: instantiating (14) with fresh symbol all_18_0 gives: % 3.97/1.88 | (15) ~ (all_18_0 = 0) & icext(uri_owl_ObjectProperty, uri_ex_x) = all_18_0 % 3.97/1.88 | % 3.97/1.88 | ALPHA: (15) implies: % 4.00/1.89 | (16) ~ (all_18_0 = 0) % 4.00/1.89 | (17) icext(uri_owl_ObjectProperty, uri_ex_x) = all_18_0 % 4.00/1.89 | % 4.00/1.89 | GROUND_INST: instantiating (9) with 0, all_18_0, uri_ex_x, % 4.00/1.89 | uri_owl_ObjectProperty, simplifying with (11), (17) gives: % 4.00/1.89 | (18) all_18_0 = 0 % 4.00/1.89 | % 4.00/1.89 | REDUCE: (16), (18) imply: % 4.00/1.89 | (19) $false % 4.00/1.89 | % 4.00/1.89 | CLOSE: (19) is inconsistent. % 4.00/1.89 | % 4.00/1.89 End of proof % 4.00/1.90 % SZS output end Proof for theBenchmark % 4.00/1.90 % 4.00/1.90 1228ms %------------------------------------------------------------------------------