%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SWB027+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 : n007.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 20:11:52 EDT 2023 % Result : Theorem 20.75s 3.54s % Output : Proof 23.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWB027+2 : TPTP v8.1.2. Released v5.2.0. % 0.12/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.34 % Computer : n007.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 : Sun Aug 27 07:23:12 EDT 2023 % 0.13/0.34 % CPUTime : % 0.19/0.59 ________ _____ % 0.19/0.59 ___ __ \_________(_)________________________________ % 0.19/0.59 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.19/0.59 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.19/0.59 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.19/0.59 % 0.19/0.59 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.19/0.59 (2023-06-19) % 0.19/0.59 % 0.19/0.59 (c) Philipp Rümmer, 2009-2023 % 0.19/0.59 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.19/0.59 Amanda Stjerna. % 0.19/0.59 Free software under BSD-3-Clause. % 0.19/0.59 % 0.19/0.59 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.19/0.59 % 0.19/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.19/0.61 Running up to 7 provers in parallel. % 0.19/0.62 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.19/0.62 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.19/0.62 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.19/0.62 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.19/0.62 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.19/0.62 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.19/0.62 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.13/0.96 Prover 1: Preprocessing ... % 2.13/0.96 Prover 4: Preprocessing ... % 2.43/1.01 Prover 6: Preprocessing ... % 2.43/1.01 Prover 0: Preprocessing ... % 2.43/1.01 Prover 5: Preprocessing ... % 2.43/1.01 Prover 3: Preprocessing ... % 2.43/1.01 Prover 2: Preprocessing ... % 4.46/1.28 Prover 5: Proving ... % 4.46/1.28 Prover 2: Proving ... % 4.46/1.30 Prover 6: Proving ... % 4.46/1.30 Prover 3: Constructing countermodel ... % 4.46/1.33 Prover 1: Constructing countermodel ... % 6.76/1.63 Prover 3: gave up % 6.76/1.63 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 6.96/1.65 Prover 7: Preprocessing ... % 6.96/1.68 Prover 7: Warning: ignoring some quantifiers % 6.96/1.69 Prover 7: Constructing countermodel ... % 6.96/1.69 Prover 4: Constructing countermodel ... % 7.57/1.75 Prover 0: Proving ... % 7.57/1.76 Prover 1: gave up % 7.57/1.77 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 7.96/1.80 Prover 8: Preprocessing ... % 8.64/1.88 Prover 8: Warning: ignoring some quantifiers % 8.64/1.88 Prover 8: Constructing countermodel ... % 10.25/2.11 Prover 8: gave up % 10.25/2.12 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 10.25/2.13 Prover 9: Preprocessing ... % 12.47/2.42 Prover 9: Constructing countermodel ... % 20.75/3.53 Prover 0: proved (2919ms) % 20.75/3.53 % 20.75/3.54 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 20.75/3.54 % 21.25/3.55 Prover 5: stopped % 21.25/3.55 Prover 2: stopped % 21.25/3.55 Prover 9: stopped % 21.25/3.55 Prover 6: stopped % 21.25/3.56 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 21.25/3.56 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 21.25/3.56 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 21.25/3.56 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 21.25/3.56 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 21.46/3.58 Prover 13: Preprocessing ... % 21.46/3.58 Prover 11: Preprocessing ... % 21.46/3.58 Prover 16: Preprocessing ... % 21.46/3.58 Prover 10: Preprocessing ... % 21.46/3.59 Prover 19: Preprocessing ... % 21.46/3.60 Prover 16: Warning: ignoring some quantifiers % 21.46/3.61 Prover 16: Constructing countermodel ... % 21.46/3.62 Prover 10: Warning: ignoring some quantifiers % 21.46/3.62 Prover 13: Warning: ignoring some quantifiers % 21.46/3.62 Prover 13: Constructing countermodel ... % 21.46/3.62 Prover 10: Constructing countermodel ... % 21.93/3.71 Prover 19: Warning: ignoring some quantifiers % 21.93/3.72 Prover 19: Constructing countermodel ... % 23.20/3.81 Prover 13: Found proof (size 34) % 23.20/3.81 Prover 13: proved (250ms) % 23.20/3.81 Prover 19: stopped % 23.20/3.81 Prover 16: stopped % 23.20/3.82 Prover 10: stopped % 23.20/3.82 Prover 7: stopped % 23.20/3.82 Prover 4: stopped % 23.20/3.83 Prover 11: Constructing countermodel ... % 23.20/3.83 Prover 11: stopped % 23.20/3.83 % 23.20/3.83 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 23.20/3.83 % 23.20/3.84 % SZS output start Proof for theBenchmark % 23.20/3.84 Assumptions after simplification: % 23.20/3.84 --------------------------------- % 23.20/3.84 % 23.20/3.84 (owl_chain_002) % 23.45/3.85 $i(uri_owl_propertyChainAxiom) & $i(uri_rdf_nil) & $i(uri_rdf_rest) & % 23.45/3.85 $i(uri_rdf_first) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! % 23.45/3.85 [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~ $i(v7) | ~ $i(v6) | % 23.45/3.85 ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 23.45/3.85 iext(v4, v6, v7) | ~ iext(v2, v5, v6) | ~ iext(uri_owl_propertyChainAxiom, % 23.45/3.85 v0, v1) | ~ iext(uri_rdf_rest, v3, uri_rdf_nil) | ~ iext(uri_rdf_rest, % 23.45/3.85 v1, v3) | ~ iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) % 23.45/3.85 | iext(v0, v5, v7)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] % 23.45/3.85 : ! [v4: $i] : ( ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 23.45/3.85 ~ ip(v4) | ~ ip(v2) | ~ ip(v0) | ~ iext(uri_rdf_rest, v3, uri_rdf_nil) | % 23.45/3.85 ~ iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v3, v4) | ~ % 23.45/3.85 iext(uri_rdf_first, v1, v2) | iext(uri_owl_propertyChainAxiom, v0, v1) | ? % 23.45/3.85 [v5: $i] : ? [v6: $i] : ? [v7: $i] : ($i(v7) & $i(v6) & $i(v5) & iext(v4, % 23.45/3.85 v6, v7) & iext(v2, v5, v6) & ~ iext(v0, v5, v7))) & ! [v0: $i] : ! % 23.45/3.85 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ $i(v4) | ~ $i(v3) | % 23.45/3.85 ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ iext(uri_owl_propertyChainAxiom, v0, % 23.45/3.85 v1) | ~ iext(uri_rdf_rest, v3, uri_rdf_nil) | ~ iext(uri_rdf_rest, v1, % 23.45/3.85 v3) | ~ iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | % 23.45/3.85 ip(v4)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: % 23.45/3.85 $i] : ( ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 23.45/3.85 iext(uri_owl_propertyChainAxiom, v0, v1) | ~ iext(uri_rdf_rest, v3, % 23.45/3.85 uri_rdf_nil) | ~ iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v3, % 23.45/3.85 v4) | ~ iext(uri_rdf_first, v1, v2) | ip(v2)) & ! [v0: $i] : ! [v1: $i] % 23.45/3.85 : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ $i(v4) | ~ $i(v3) | ~ $i(v2) % 23.45/3.85 | ~ $i(v1) | ~ $i(v0) | ~ iext(uri_owl_propertyChainAxiom, v0, v1) | ~ % 23.45/3.85 iext(uri_rdf_rest, v3, uri_rdf_nil) | ~ iext(uri_rdf_rest, v1, v3) | ~ % 23.45/3.85 iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | ip(v0)) % 23.45/3.85 % 23.45/3.85 (owl_char_inversefunctional) % 23.45/3.86 $i(uri_owl_InverseFunctionalProperty) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 23.45/3.86 $i] : ! [v3: $i] : (v2 = v1 | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) % 23.45/3.86 | ~ icext(uri_owl_InverseFunctionalProperty, v0) | ~ iext(v0, v2, v3) | ~ % 23.45/3.86 iext(v0, v1, v3)) & ! [v0: $i] : ( ~ $i(v0) | ~ ip(v0) | % 23.45/3.86 icext(uri_owl_InverseFunctionalProperty, v0) | ? [v1: $i] : ? [v2: $i] : % 23.45/3.86 ? [v3: $i] : ( ~ (v2 = v1) & $i(v3) & $i(v2) & $i(v1) & iext(v0, v2, v3) & % 23.45/3.86 iext(v0, v1, v3))) & ! [v0: $i] : ( ~ $i(v0) | ~ % 23.45/3.86 icext(uri_owl_InverseFunctionalProperty, v0) | ip(v0)) % 23.45/3.86 % 23.45/3.86 (owl_eqdis_sameas) % 23.45/3.86 $i(uri_owl_sameAs) & ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ $i(v1) | ~ % 23.45/3.86 $i(v0) | ~ iext(uri_owl_sameAs, v0, v1)) & ? [v0: $i] : ( ~ $i(v0) | % 23.45/3.86 iext(uri_owl_sameAs, v0, v0)) % 23.45/3.86 % 23.45/3.86 (owl_inv) % 23.45/3.86 $i(uri_owl_inverseOf) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] % 23.45/3.86 : ( ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ iext(v1, v3, v2) | ~ % 23.45/3.86 iext(uri_owl_inverseOf, v0, v1) | iext(v0, v2, v3)) & ! [v0: $i] : ! [v1: % 23.45/3.86 $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ % 23.45/3.86 $i(v0) | ~ iext(v0, v2, v3) | ~ iext(uri_owl_inverseOf, v0, v1) | iext(v1, % 23.45/3.86 v3, v2)) & ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ ip(v1) % 23.45/3.86 | ~ ip(v0) | iext(uri_owl_inverseOf, v0, v1) | ? [v2: $i] : ? [v3: $i] : % 23.45/3.86 ($i(v3) & $i(v2) & ( ~ iext(v1, v3, v2) | ~ iext(v0, v2, v3)) & (iext(v1, % 23.45/3.86 v3, v2) | iext(v0, v2, v3)))) & ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) % 23.45/3.86 | ~ $i(v0) | ~ iext(uri_owl_inverseOf, v0, v1) | ip(v1)) & ! [v0: $i] : % 23.45/3.86 ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ iext(uri_owl_inverseOf, v0, v1) | % 23.45/3.86 ip(v0)) % 23.45/3.86 % 23.45/3.86 (rdfs_cext_def) % 23.45/3.86 $i(uri_rdf_type) & ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ % 23.45/3.86 icext(v1, v0) | iext(uri_rdf_type, v0, v1)) & ! [v0: $i] : ! [v1: $i] : ( % 23.45/3.86 ~ $i(v1) | ~ $i(v0) | ~ iext(uri_rdf_type, v0, v1) | icext(v1, v0)) % 23.45/3.86 % 23.45/3.86 (testcase_conclusion_fullish_027_Inferred_Property_Characteristics_II) % 23.45/3.86 $i(uri_ex_p) & $i(uri_owl_InverseFunctionalProperty) & $i(uri_rdf_type) & ~ % 23.45/3.86 iext(uri_rdf_type, uri_ex_p, uri_owl_InverseFunctionalProperty) % 23.45/3.86 % 23.45/3.86 (testcase_premise_fullish_027_Inferred_Property_Characteristics_II) % 23.45/3.86 $i(uri_ex_p) & $i(uri_owl_inverseOf) & $i(uri_owl_propertyChainAxiom) & % 23.45/3.86 $i(uri_rdf_nil) & $i(uri_rdf_rest) & $i(uri_rdf_first) & $i(uri_owl_sameAs) & % 23.45/3.86 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ($i(v2) & $i(v1) & $i(v0) & % 23.45/3.86 iext(uri_owl_inverseOf, v2, uri_ex_p) & iext(uri_owl_propertyChainAxiom, % 23.45/3.86 uri_owl_sameAs, v0) & iext(uri_rdf_rest, v1, uri_rdf_nil) & % 23.45/3.86 iext(uri_rdf_rest, v0, v1) & iext(uri_rdf_first, v1, v2) & % 23.45/3.86 iext(uri_rdf_first, v0, uri_ex_p)) % 23.45/3.86 % 23.45/3.86 Those formulas are unsatisfiable: % 23.45/3.86 --------------------------------- % 23.45/3.86 % 23.45/3.86 Begin of proof % 23.45/3.86 | % 23.45/3.86 | ALPHA: (testcase_conclusion_fullish_027_Inferred_Property_Characteristics_II) % 23.45/3.86 | implies: % 23.45/3.87 | (1) ~ iext(uri_rdf_type, uri_ex_p, uri_owl_InverseFunctionalProperty) % 23.45/3.87 | % 23.45/3.87 | ALPHA: (testcase_premise_fullish_027_Inferred_Property_Characteristics_II) % 23.45/3.87 | implies: % 23.45/3.87 | (2) $i(uri_ex_p) % 23.45/3.87 | (3) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ($i(v2) & $i(v1) & $i(v0) & % 23.45/3.87 | iext(uri_owl_inverseOf, v2, uri_ex_p) & % 23.45/3.87 | iext(uri_owl_propertyChainAxiom, uri_owl_sameAs, v0) & % 23.45/3.87 | iext(uri_rdf_rest, v1, uri_rdf_nil) & iext(uri_rdf_rest, v0, v1) & % 23.45/3.87 | iext(uri_rdf_first, v1, v2) & iext(uri_rdf_first, v0, uri_ex_p)) % 23.45/3.87 | % 23.45/3.87 | ALPHA: (owl_inv) implies: % 23.45/3.87 | (4) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ % 23.45/3.87 | iext(uri_owl_inverseOf, v0, v1) | ip(v1)) % 23.45/3.87 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~ % 23.45/3.87 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ iext(v1, v3, v2) | ~ % 23.45/3.87 | iext(uri_owl_inverseOf, v0, v1) | iext(v0, v2, v3)) % 23.45/3.87 | % 23.45/3.87 | ALPHA: (owl_char_inversefunctional) implies: % 23.45/3.87 | (6) $i(uri_owl_InverseFunctionalProperty) % 23.45/3.87 | (7) ! [v0: $i] : ( ~ $i(v0) | ~ ip(v0) | % 23.45/3.87 | icext(uri_owl_InverseFunctionalProperty, v0) | ? [v1: $i] : ? [v2: % 23.45/3.87 | $i] : ? [v3: $i] : ( ~ (v2 = v1) & $i(v3) & $i(v2) & $i(v1) & % 23.45/3.87 | iext(v0, v2, v3) & iext(v0, v1, v3))) % 23.45/3.87 | (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v2 = v1 | ~ % 23.45/3.87 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 23.45/3.87 | icext(uri_owl_InverseFunctionalProperty, v0) | ~ iext(v0, v2, v3) | % 23.45/3.87 | ~ iext(v0, v1, v3)) % 23.45/3.87 | % 23.45/3.87 | ALPHA: (owl_chain_002) implies: % 23.45/3.87 | (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( % 23.45/3.87 | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 23.45/3.87 | iext(uri_owl_propertyChainAxiom, v0, v1) | ~ iext(uri_rdf_rest, v3, % 23.45/3.87 | uri_rdf_nil) | ~ iext(uri_rdf_rest, v1, v3) | ~ % 23.45/3.87 | iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | % 23.45/3.87 | ip(v0)) % 23.45/3.87 | (10) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 23.45/3.87 | ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~ $i(v7) | ~ $i(v6) | ~ % 23.45/3.87 | $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 23.45/3.87 | ~ iext(v4, v6, v7) | ~ iext(v2, v5, v6) | ~ % 23.45/3.87 | iext(uri_owl_propertyChainAxiom, v0, v1) | ~ iext(uri_rdf_rest, v3, % 23.45/3.87 | uri_rdf_nil) | ~ iext(uri_rdf_rest, v1, v3) | ~ % 23.45/3.87 | iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | % 23.45/3.87 | iext(v0, v5, v7)) % 23.45/3.87 | % 23.45/3.87 | ALPHA: (owl_eqdis_sameas) implies: % 23.45/3.87 | (11) $i(uri_owl_sameAs) % 23.45/3.87 | (12) ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ $i(v1) | ~ $i(v0) | ~ % 23.45/3.87 | iext(uri_owl_sameAs, v0, v1)) % 23.45/3.87 | % 23.45/3.87 | ALPHA: (rdfs_cext_def) implies: % 23.45/3.87 | (13) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ icext(v1, v0) % 23.45/3.87 | | iext(uri_rdf_type, v0, v1)) % 23.45/3.87 | % 23.45/3.87 | DELTA: instantiating (3) with fresh symbols all_9_0, all_9_1, all_9_2 gives: % 23.45/3.87 | (14) $i(all_9_0) & $i(all_9_1) & $i(all_9_2) & iext(uri_owl_inverseOf, % 23.45/3.87 | all_9_0, uri_ex_p) & iext(uri_owl_propertyChainAxiom, % 23.45/3.87 | uri_owl_sameAs, all_9_2) & iext(uri_rdf_rest, all_9_1, uri_rdf_nil) % 23.45/3.87 | & iext(uri_rdf_rest, all_9_2, all_9_1) & iext(uri_rdf_first, all_9_1, % 23.45/3.87 | all_9_0) & iext(uri_rdf_first, all_9_2, uri_ex_p) % 23.45/3.87 | % 23.45/3.87 | ALPHA: (14) implies: % 23.45/3.87 | (15) iext(uri_rdf_first, all_9_2, uri_ex_p) % 23.45/3.87 | (16) iext(uri_rdf_first, all_9_1, all_9_0) % 23.45/3.87 | (17) iext(uri_rdf_rest, all_9_2, all_9_1) % 23.45/3.87 | (18) iext(uri_rdf_rest, all_9_1, uri_rdf_nil) % 23.45/3.87 | (19) iext(uri_owl_propertyChainAxiom, uri_owl_sameAs, all_9_2) % 23.45/3.87 | (20) iext(uri_owl_inverseOf, all_9_0, uri_ex_p) % 23.45/3.87 | (21) $i(all_9_2) % 23.45/3.87 | (22) $i(all_9_1) % 23.45/3.87 | (23) $i(all_9_0) % 23.45/3.87 | % 23.45/3.88 | GROUND_INST: instantiating (9) with uri_owl_sameAs, all_9_2, uri_ex_p, % 23.45/3.88 | all_9_1, all_9_0, simplifying with (2), (11), (15), (16), (17), % 23.45/3.88 | (18), (19), (21), (22), (23) gives: % 23.45/3.88 | (24) ip(uri_owl_sameAs) % 23.45/3.88 | % 23.45/3.88 | GROUND_INST: instantiating (4) with all_9_0, uri_ex_p, simplifying with (2), % 23.45/3.88 | (20), (23) gives: % 23.45/3.88 | (25) ip(uri_ex_p) % 23.45/3.88 | % 23.45/3.88 | GROUND_INST: instantiating (7) with uri_owl_sameAs, simplifying with (11), % 23.45/3.88 | (24) gives: % 23.45/3.88 | (26) icext(uri_owl_InverseFunctionalProperty, uri_owl_sameAs) | ? [v0: $i] % 23.45/3.88 | : ? [v1: $i] : ? [v2: $i] : ( ~ (v1 = v0) & $i(v2) & $i(v1) & $i(v0) % 23.45/3.88 | & iext(uri_owl_sameAs, v1, v2) & iext(uri_owl_sameAs, v0, v2)) % 23.45/3.88 | % 23.45/3.88 | GROUND_INST: instantiating (7) with uri_ex_p, simplifying with (2), (25) % 23.45/3.88 | gives: % 23.45/3.88 | (27) icext(uri_owl_InverseFunctionalProperty, uri_ex_p) | ? [v0: $i] : ? % 23.45/3.88 | [v1: $i] : ? [v2: $i] : ( ~ (v1 = v0) & $i(v2) & $i(v1) & $i(v0) & % 23.45/3.88 | iext(uri_ex_p, v1, v2) & iext(uri_ex_p, v0, v2)) % 23.45/3.88 | % 23.45/3.88 | BETA: splitting (26) gives: % 23.45/3.88 | % 23.45/3.88 | Case 1: % 23.45/3.88 | | % 23.45/3.88 | | (28) icext(uri_owl_InverseFunctionalProperty, uri_owl_sameAs) % 23.45/3.88 | | % 23.45/3.88 | | BETA: splitting (27) gives: % 23.45/3.88 | | % 23.45/3.88 | | Case 1: % 23.45/3.88 | | | % 23.45/3.88 | | | (29) icext(uri_owl_InverseFunctionalProperty, uri_ex_p) % 23.45/3.88 | | | % 23.45/3.88 | | | GROUND_INST: instantiating (13) with uri_ex_p, % 23.45/3.88 | | | uri_owl_InverseFunctionalProperty, simplifying with (1), (2), % 23.45/3.88 | | | (6), (29) gives: % 23.45/3.88 | | | (30) $false % 23.45/3.88 | | | % 23.45/3.88 | | | CLOSE: (30) is inconsistent. % 23.45/3.88 | | | % 23.45/3.88 | | Case 2: % 23.45/3.88 | | | % 23.45/3.88 | | | (31) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ( ~ (v1 = v0) & $i(v2) & % 23.45/3.88 | | | $i(v1) & $i(v0) & iext(uri_ex_p, v1, v2) & iext(uri_ex_p, v0, % 23.45/3.88 | | | v2)) % 23.45/3.88 | | | % 23.45/3.88 | | | DELTA: instantiating (31) with fresh symbols all_104_0, all_104_1, % 23.45/3.88 | | | all_104_2 gives: % 23.45/3.88 | | | (32) ~ (all_104_1 = all_104_2) & $i(all_104_0) & $i(all_104_1) & % 23.45/3.88 | | | $i(all_104_2) & iext(uri_ex_p, all_104_1, all_104_0) & % 23.45/3.88 | | | iext(uri_ex_p, all_104_2, all_104_0) % 23.45/3.88 | | | % 23.45/3.88 | | | ALPHA: (32) implies: % 23.45/3.88 | | | (33) ~ (all_104_1 = all_104_2) % 23.45/3.88 | | | (34) iext(uri_ex_p, all_104_2, all_104_0) % 23.45/3.88 | | | (35) iext(uri_ex_p, all_104_1, all_104_0) % 23.45/3.88 | | | (36) $i(all_104_2) % 23.45/3.88 | | | (37) $i(all_104_1) % 23.45/3.88 | | | (38) $i(all_104_0) % 23.45/3.88 | | | % 23.45/3.88 | | | GROUND_INST: instantiating (5) with all_9_0, uri_ex_p, all_104_0, % 23.45/3.88 | | | all_104_1, simplifying with (2), (20), (23), (35), (37), (38) % 23.45/3.88 | | | gives: % 23.45/3.88 | | | (39) iext(all_9_0, all_104_0, all_104_1) % 23.45/3.88 | | | % 23.45/3.89 | | | GROUND_INST: instantiating (10) with uri_owl_sameAs, all_9_2, uri_ex_p, % 23.45/3.89 | | | all_9_1, all_9_0, all_104_1, all_104_0, all_104_1, % 23.45/3.89 | | | simplifying with (2), (11), (15), (16), (17), (18), (19), % 23.45/3.89 | | | (21), (22), (23), (35), (37), (38), (39) gives: % 23.45/3.89 | | | (40) iext(uri_owl_sameAs, all_104_1, all_104_1) % 23.45/3.89 | | | % 23.45/3.89 | | | GROUND_INST: instantiating (10) with uri_owl_sameAs, all_9_2, uri_ex_p, % 23.45/3.89 | | | all_9_1, all_9_0, all_104_2, all_104_0, all_104_1, % 23.45/3.89 | | | simplifying with (2), (11), (15), (16), (17), (18), (19), % 23.45/3.89 | | | (21), (22), (23), (34), (36), (37), (38), (39) gives: % 23.45/3.89 | | | (41) iext(uri_owl_sameAs, all_104_2, all_104_1) % 23.45/3.89 | | | % 23.45/3.89 | | | GROUND_INST: instantiating (8) with uri_owl_sameAs, all_104_2, all_104_1, % 23.45/3.89 | | | all_104_1, simplifying with (11), (28), (36), (37), (40), % 23.45/3.89 | | | (41) gives: % 23.45/3.89 | | | (42) all_104_1 = all_104_2 % 23.45/3.89 | | | % 23.45/3.89 | | | REDUCE: (33), (42) imply: % 23.45/3.89 | | | (43) $false % 23.45/3.89 | | | % 23.45/3.89 | | | CLOSE: (43) is inconsistent. % 23.45/3.89 | | | % 23.45/3.89 | | End of split % 23.45/3.89 | | % 23.45/3.89 | Case 2: % 23.45/3.89 | | % 23.45/3.89 | | (44) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ( ~ (v1 = v0) & $i(v2) & % 23.45/3.89 | | $i(v1) & $i(v0) & iext(uri_owl_sameAs, v1, v2) & % 23.45/3.89 | | iext(uri_owl_sameAs, v0, v2)) % 23.45/3.89 | | % 23.45/3.89 | | DELTA: instantiating (44) with fresh symbols all_70_0, all_70_1, all_70_2 % 23.45/3.89 | | gives: % 23.45/3.89 | | (45) ~ (all_70_1 = all_70_2) & $i(all_70_0) & $i(all_70_1) & % 23.45/3.89 | | $i(all_70_2) & iext(uri_owl_sameAs, all_70_1, all_70_0) & % 23.45/3.89 | | iext(uri_owl_sameAs, all_70_2, all_70_0) % 23.45/3.89 | | % 23.45/3.89 | | ALPHA: (45) implies: % 23.45/3.89 | | (46) ~ (all_70_1 = all_70_2) % 23.45/3.89 | | (47) iext(uri_owl_sameAs, all_70_2, all_70_0) % 23.45/3.89 | | (48) iext(uri_owl_sameAs, all_70_1, all_70_0) % 23.45/3.89 | | (49) $i(all_70_2) % 23.45/3.89 | | (50) $i(all_70_1) % 23.45/3.89 | | (51) $i(all_70_0) % 23.45/3.89 | | % 23.45/3.89 | | GROUND_INST: instantiating (12) with all_70_2, all_70_0, simplifying with % 23.45/3.89 | | (47), (49), (51) gives: % 23.45/3.89 | | (52) all_70_0 = all_70_2 % 23.45/3.89 | | % 23.45/3.89 | | GROUND_INST: instantiating (12) with all_70_1, all_70_0, simplifying with % 23.45/3.89 | | (48), (50), (51) gives: % 23.45/3.89 | | (53) all_70_0 = all_70_1 % 23.45/3.89 | | % 23.45/3.89 | | COMBINE_EQS: (52), (53) imply: % 23.45/3.89 | | (54) all_70_1 = all_70_2 % 23.45/3.89 | | % 23.45/3.89 | | REDUCE: (46), (54) imply: % 23.45/3.89 | | (55) $false % 23.45/3.89 | | % 23.45/3.89 | | CLOSE: (55) is inconsistent. % 23.45/3.89 | | % 23.45/3.89 | End of split % 23.45/3.89 | % 23.45/3.89 End of proof % 23.45/3.89 % SZS output end Proof for theBenchmark % 23.45/3.89 % 23.45/3.89 3297ms %------------------------------------------------------------------------------