%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SWB026+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 : n026.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 6.71s 1.76s % Output : Proof 9.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWB026+2 : TPTP v8.1.2. Released v5.2.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.12/0.34 % Computer : n026.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Sun Aug 27 06:57:34 EDT 2023 % 0.12/0.34 % CPUTime : % 0.19/0.61 ________ _____ % 0.19/0.61 ___ __ \_________(_)________________________________ % 0.19/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.19/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.19/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.19/0.61 % 0.19/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.19/0.61 (2023-06-19) % 0.19/0.61 % 0.19/0.61 (c) Philipp Rümmer, 2009-2023 % 0.19/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.19/0.61 Amanda Stjerna. % 0.19/0.61 Free software under BSD-3-Clause. % 0.19/0.61 % 0.19/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.19/0.61 % 0.19/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.19/0.63 Running up to 7 provers in parallel. % 0.19/0.65 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.19/0.65 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.19/0.65 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.19/0.65 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.19/0.65 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.19/0.65 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.19/0.65 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.27/1.02 Prover 4: Preprocessing ... % 2.27/1.02 Prover 1: Preprocessing ... % 2.27/1.06 Prover 5: Preprocessing ... % 2.27/1.06 Prover 6: Preprocessing ... % 2.27/1.06 Prover 3: Preprocessing ... % 2.27/1.06 Prover 2: Preprocessing ... % 2.27/1.06 Prover 0: Preprocessing ... % 3.64/1.32 Prover 2: Constructing countermodel ... % 3.64/1.33 Prover 5: Proving ... % 3.64/1.38 Prover 1: Constructing countermodel ... % 3.64/1.39 Prover 3: Constructing countermodel ... % 3.64/1.43 Prover 4: Constructing countermodel ... % 3.64/1.44 Prover 6: Proving ... % 4.89/1.46 Prover 0: Proving ... % 6.14/1.63 Prover 3: gave up % 6.14/1.63 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 6.14/1.68 Prover 7: Preprocessing ... % 6.71/1.70 Prover 1: gave up % 6.71/1.70 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 6.71/1.74 Prover 7: Constructing countermodel ... % 6.71/1.74 Prover 8: Preprocessing ... % 6.71/1.76 Prover 0: proved (1123ms) % 6.71/1.76 % 6.71/1.76 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 6.71/1.76 % 6.71/1.76 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 6.71/1.76 Prover 5: stopped % 6.71/1.76 Prover 6: stopped % 6.71/1.76 Prover 2: stopped % 6.71/1.77 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 6.71/1.77 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 6.71/1.77 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 7.39/1.78 Prover 10: Preprocessing ... % 7.39/1.78 Prover 13: Preprocessing ... % 7.39/1.79 Prover 11: Preprocessing ... % 7.48/1.79 Prover 16: Preprocessing ... % 7.69/1.82 Prover 8: Warning: ignoring some quantifiers % 7.69/1.82 Prover 8: Constructing countermodel ... % 7.69/1.83 Prover 13: Constructing countermodel ... % 7.69/1.84 Prover 10: Constructing countermodel ... % 7.69/1.87 Prover 16: Constructing countermodel ... % 8.35/1.96 Prover 11: Constructing countermodel ... % 8.92/2.00 Prover 8: gave up % 8.92/2.00 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 8.92/2.01 Prover 13: Found proof (size 26) % 8.92/2.01 Prover 13: proved (253ms) % 8.92/2.01 Prover 7: stopped % 8.92/2.01 Prover 16: stopped % 8.92/2.01 Prover 4: stopped % 8.92/2.01 Prover 11: stopped % 8.92/2.02 Prover 10: Found proof (size 26) % 8.92/2.02 Prover 10: proved (258ms) % 8.92/2.02 Prover 19: Preprocessing ... % 8.92/2.07 Prover 19: Warning: ignoring some quantifiers % 9.45/2.08 Prover 19: Constructing countermodel ... % 9.45/2.08 Prover 19: stopped % 9.45/2.08 % 9.45/2.08 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 9.45/2.08 % 9.45/2.09 % SZS output start Proof for theBenchmark % 9.45/2.09 Assumptions after simplification: % 9.45/2.09 --------------------------------- % 9.45/2.09 % 9.45/2.09 (owl_char_inversefunctional) % 9.45/2.10 $i(uri_owl_InverseFunctionalProperty) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 9.45/2.10 $i] : ! [v3: $i] : (v2 = v1 | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) % 9.45/2.10 | ~ icext(uri_owl_InverseFunctionalProperty, v0) | ~ iext(v0, v2, v3) | ~ % 9.45/2.10 iext(v0, v1, v3)) & ! [v0: $i] : ( ~ $i(v0) | ~ % 9.45/2.10 icext(uri_owl_InverseFunctionalProperty, v0) | ip(v0)) & ! [v0: $i] : ( ~ % 9.45/2.10 $i(v0) | ~ ip(v0) | icext(uri_owl_InverseFunctionalProperty, v0) | ? [v1: % 9.45/2.10 $i] : ? [v2: $i] : ? [v3: $i] : ( ~ (v2 = v1) & $i(v3) & $i(v2) & $i(v1) % 9.45/2.10 & iext(v0, v2, v3) & iext(v0, v1, v3))) % 9.45/2.10 % 9.45/2.10 (owl_enum_class_001) % 9.45/2.11 $i(uri_owl_oneOf) & $i(uri_rdf_nil) & $i(uri_rdf_rest) & $i(uri_rdf_first) & % 9.45/2.11 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v2 | ~ $i(v3) | % 9.45/2.11 ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ icext(v0, v3) | ~ iext(uri_owl_oneOf, % 9.45/2.11 v0, v1) | ~ iext(uri_rdf_rest, v1, uri_rdf_nil) | ~ iext(uri_rdf_first, % 9.45/2.11 v1, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ % 9.45/2.11 $i(v1) | ~ $i(v0) | ~ ic(v0) | ~ iext(uri_rdf_rest, v1, uri_rdf_nil) | ~ % 9.45/2.11 iext(uri_rdf_first, v1, v2) | iext(uri_owl_oneOf, v0, v1) | ? [v3: $i] : % 9.45/2.11 ($i(v3) & ( ~ (v3 = v2) | ~ icext(v0, v2)) & (v3 = v2 | icext(v0, v3)))) & % 9.45/2.11 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 9.45/2.11 ~ iext(uri_owl_oneOf, v0, v1) | ~ iext(uri_rdf_rest, v1, uri_rdf_nil) | ~ % 9.45/2.11 iext(uri_rdf_first, v1, v2) | ic(v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 9.45/2.11 $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ iext(uri_owl_oneOf, v0, v1) | % 9.45/2.11 ~ iext(uri_rdf_rest, v1, uri_rdf_nil) | ~ iext(uri_rdf_first, v1, v2) | % 9.45/2.11 icext(v0, v2)) % 9.45/2.11 % 9.45/2.11 (rdf_type_ip) % 9.45/2.11 $i(uri_rdf_Property) & $i(uri_rdf_type) & ! [v0: $i] : ( ~ $i(v0) | ~ ip(v0) % 9.45/2.11 | iext(uri_rdf_type, v0, uri_rdf_Property)) & ! [v0: $i] : ( ~ $i(v0) | ~ % 9.45/2.11 iext(uri_rdf_type, v0, uri_rdf_Property) | ip(v0)) % 9.45/2.11 % 9.45/2.11 (rdfs_cext_def) % 9.45/2.11 $i(uri_rdf_type) & ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ % 9.45/2.11 icext(v1, v0) | iext(uri_rdf_type, v0, v1)) & ! [v0: $i] : ! [v1: $i] : ( % 9.45/2.11 ~ $i(v1) | ~ $i(v0) | ~ iext(uri_rdf_type, v0, v1) | icext(v1, v0)) % 9.45/2.11 % 9.45/2.11 (rdfs_domain_domain) % 9.45/2.11 $i(uri_rdfs_domain) & $i(uri_rdf_Property) & iext(uri_rdfs_domain, % 9.45/2.11 uri_rdfs_domain, uri_rdf_Property) % 9.45/2.11 % 9.45/2.11 (rdfs_domain_main) % 9.45/2.11 $i(uri_rdfs_domain) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : % 9.45/2.11 ( ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ iext(v0, v2, v3) | ~ % 9.45/2.11 iext(uri_rdfs_domain, v0, v1) | icext(v1, v2)) % 9.45/2.11 % 9.45/2.11 (testcase_conclusion_fullish_026_Inferred_Property_Characteristics_I) % 9.45/2.11 $i(uri_ex_p) & $i(uri_owl_InverseFunctionalProperty) & $i(uri_rdf_type) & ~ % 9.45/2.11 iext(uri_rdf_type, uri_ex_p, uri_owl_InverseFunctionalProperty) % 9.45/2.11 % 9.45/2.11 (testcase_premise_fullish_026_Inferred_Property_Characteristics_I) % 9.45/2.12 $i(uri_ex_u) & $i(uri_rdfs_range) & $i(uri_ex_w) & $i(uri_ex_p) & % 9.45/2.12 $i(uri_owl_oneOf) & $i(uri_rdf_nil) & $i(uri_rdf_rest) & $i(uri_rdf_first) & % 9.45/2.12 $i(uri_rdfs_domain) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : % 9.45/2.12 ($i(v3) & $i(v2) & $i(v1) & $i(v0) & iext(uri_rdfs_range, uri_ex_p, v1) & % 9.45/2.12 iext(uri_owl_oneOf, v1, v3) & iext(uri_owl_oneOf, v0, v2) & % 9.45/2.12 iext(uri_rdf_rest, v3, uri_rdf_nil) & iext(uri_rdf_rest, v2, uri_rdf_nil) & % 9.45/2.12 iext(uri_rdf_first, v3, uri_ex_u) & iext(uri_rdf_first, v2, uri_ex_w) & % 9.45/2.12 iext(uri_rdfs_domain, uri_ex_p, v0)) % 9.45/2.12 % 9.45/2.12 Those formulas are unsatisfiable: % 9.45/2.12 --------------------------------- % 9.45/2.12 % 9.45/2.12 Begin of proof % 9.45/2.12 | % 9.45/2.12 | ALPHA: (testcase_conclusion_fullish_026_Inferred_Property_Characteristics_I) % 9.45/2.12 | implies: % 9.45/2.12 | (1) ~ iext(uri_rdf_type, uri_ex_p, uri_owl_InverseFunctionalProperty) % 9.45/2.12 | % 9.45/2.12 | ALPHA: (testcase_premise_fullish_026_Inferred_Property_Characteristics_I) % 9.45/2.12 | implies: % 9.45/2.12 | (2) $i(uri_ex_p) % 9.45/2.12 | (3) $i(uri_ex_w) % 9.45/2.12 | (4) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ($i(v3) & % 9.45/2.12 | $i(v2) & $i(v1) & $i(v0) & iext(uri_rdfs_range, uri_ex_p, v1) & % 9.45/2.12 | iext(uri_owl_oneOf, v1, v3) & iext(uri_owl_oneOf, v0, v2) & % 9.45/2.12 | iext(uri_rdf_rest, v3, uri_rdf_nil) & iext(uri_rdf_rest, v2, % 9.45/2.12 | uri_rdf_nil) & iext(uri_rdf_first, v3, uri_ex_u) & % 9.45/2.12 | iext(uri_rdf_first, v2, uri_ex_w) & iext(uri_rdfs_domain, uri_ex_p, % 9.45/2.12 | v0)) % 9.45/2.12 | % 9.45/2.12 | ALPHA: (owl_char_inversefunctional) implies: % 9.45/2.12 | (5) $i(uri_owl_InverseFunctionalProperty) % 9.45/2.12 | (6) ! [v0: $i] : ( ~ $i(v0) | ~ ip(v0) | % 9.45/2.12 | icext(uri_owl_InverseFunctionalProperty, v0) | ? [v1: $i] : ? [v2: % 9.45/2.12 | $i] : ? [v3: $i] : ( ~ (v2 = v1) & $i(v3) & $i(v2) & $i(v1) & % 9.45/2.12 | iext(v0, v2, v3) & iext(v0, v1, v3))) % 9.45/2.12 | % 9.45/2.12 | ALPHA: (owl_enum_class_001) implies: % 9.45/2.12 | (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v2 | ~ % 9.45/2.12 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ icext(v0, v3) | ~ % 9.45/2.12 | iext(uri_owl_oneOf, v0, v1) | ~ iext(uri_rdf_rest, v1, uri_rdf_nil) % 9.45/2.12 | | ~ iext(uri_rdf_first, v1, v2)) % 9.45/2.12 | % 9.45/2.12 | ALPHA: (rdfs_domain_domain) implies: % 9.45/2.12 | (8) iext(uri_rdfs_domain, uri_rdfs_domain, uri_rdf_Property) % 9.45/2.12 | % 9.45/2.12 | ALPHA: (rdfs_domain_main) implies: % 9.45/2.13 | (9) $i(uri_rdfs_domain) % 9.45/2.13 | (10) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | % 9.45/2.13 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ iext(v0, v2, v3) | ~ % 9.45/2.13 | iext(uri_rdfs_domain, v0, v1) | icext(v1, v2)) % 9.45/2.13 | % 9.45/2.13 | ALPHA: (rdfs_cext_def) implies: % 9.45/2.13 | (11) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ icext(v1, v0) % 9.45/2.13 | | iext(uri_rdf_type, v0, v1)) % 9.45/2.13 | % 9.45/2.13 | ALPHA: (rdf_type_ip) implies: % 9.45/2.13 | (12) $i(uri_rdf_Property) % 9.45/2.13 | (13) ! [v0: $i] : ( ~ $i(v0) | ~ iext(uri_rdf_type, v0, uri_rdf_Property) % 9.45/2.13 | | ip(v0)) % 9.45/2.13 | % 9.45/2.13 | DELTA: instantiating (4) with fresh symbols all_8_0, all_8_1, all_8_2, all_8_3 % 9.45/2.13 | gives: % 9.45/2.13 | (14) $i(all_8_0) & $i(all_8_1) & $i(all_8_2) & $i(all_8_3) & % 9.45/2.13 | iext(uri_rdfs_range, uri_ex_p, all_8_2) & iext(uri_owl_oneOf, all_8_2, % 9.45/2.13 | all_8_0) & iext(uri_owl_oneOf, all_8_3, all_8_1) & % 9.45/2.13 | iext(uri_rdf_rest, all_8_0, uri_rdf_nil) & iext(uri_rdf_rest, all_8_1, % 9.45/2.13 | uri_rdf_nil) & iext(uri_rdf_first, all_8_0, uri_ex_u) & % 9.45/2.13 | iext(uri_rdf_first, all_8_1, uri_ex_w) & iext(uri_rdfs_domain, % 9.45/2.13 | uri_ex_p, all_8_3) % 9.45/2.13 | % 9.45/2.13 | ALPHA: (14) implies: % 9.45/2.13 | (15) iext(uri_rdfs_domain, uri_ex_p, all_8_3) % 9.45/2.13 | (16) iext(uri_rdf_first, all_8_1, uri_ex_w) % 9.45/2.13 | (17) iext(uri_rdf_rest, all_8_1, uri_rdf_nil) % 9.45/2.13 | (18) iext(uri_owl_oneOf, all_8_3, all_8_1) % 9.45/2.13 | (19) $i(all_8_3) % 9.45/2.13 | (20) $i(all_8_1) % 9.45/2.13 | % 9.45/2.13 | GROUND_INST: instantiating (10) with uri_rdfs_domain, uri_rdf_Property, % 9.45/2.13 | uri_ex_p, all_8_3, simplifying with (2), (8), (9), (12), (15), % 9.45/2.13 | (19) gives: % 9.45/2.13 | (21) icext(uri_rdf_Property, uri_ex_p) % 9.45/2.13 | % 9.45/2.13 | GROUND_INST: instantiating (11) with uri_ex_p, uri_rdf_Property, simplifying % 9.45/2.13 | with (2), (12), (21) gives: % 9.45/2.13 | (22) iext(uri_rdf_type, uri_ex_p, uri_rdf_Property) % 9.45/2.13 | % 9.45/2.13 | GROUND_INST: instantiating (13) with uri_ex_p, simplifying with (2), (22) % 9.45/2.13 | gives: % 9.45/2.13 | (23) ip(uri_ex_p) % 9.45/2.13 | % 9.45/2.13 | GROUND_INST: instantiating (6) with uri_ex_p, simplifying with (2), (23) % 9.45/2.13 | gives: % 9.45/2.13 | (24) icext(uri_owl_InverseFunctionalProperty, uri_ex_p) | ? [v0: $i] : ? % 9.45/2.13 | [v1: $i] : ? [v2: $i] : ( ~ (v1 = v0) & $i(v2) & $i(v1) & $i(v0) & % 9.45/2.13 | iext(uri_ex_p, v1, v2) & iext(uri_ex_p, v0, v2)) % 9.45/2.13 | % 9.45/2.13 | BETA: splitting (24) gives: % 9.45/2.13 | % 9.45/2.13 | Case 1: % 9.45/2.13 | | % 9.45/2.13 | | (25) icext(uri_owl_InverseFunctionalProperty, uri_ex_p) % 9.45/2.13 | | % 9.45/2.14 | | GROUND_INST: instantiating (11) with uri_ex_p, % 9.45/2.14 | | uri_owl_InverseFunctionalProperty, simplifying with (1), (2), % 9.45/2.14 | | (5), (25) gives: % 9.45/2.14 | | (26) $false % 9.45/2.14 | | % 9.45/2.14 | | CLOSE: (26) is inconsistent. % 9.45/2.14 | | % 9.45/2.14 | Case 2: % 9.45/2.14 | | % 9.45/2.14 | | (27) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ( ~ (v1 = v0) & $i(v2) & % 9.45/2.14 | | $i(v1) & $i(v0) & iext(uri_ex_p, v1, v2) & iext(uri_ex_p, v0, v2)) % 9.45/2.14 | | % 9.45/2.14 | | DELTA: instantiating (27) with fresh symbols all_55_0, all_55_1, all_55_2 % 9.45/2.14 | | gives: % 9.45/2.14 | | (28) ~ (all_55_1 = all_55_2) & $i(all_55_0) & $i(all_55_1) & % 9.45/2.14 | | $i(all_55_2) & iext(uri_ex_p, all_55_1, all_55_0) & iext(uri_ex_p, % 9.45/2.14 | | all_55_2, all_55_0) % 9.45/2.14 | | % 9.45/2.14 | | ALPHA: (28) implies: % 9.45/2.14 | | (29) ~ (all_55_1 = all_55_2) % 9.45/2.14 | | (30) iext(uri_ex_p, all_55_2, all_55_0) % 9.45/2.14 | | (31) iext(uri_ex_p, all_55_1, all_55_0) % 9.45/2.14 | | (32) $i(all_55_2) % 9.45/2.14 | | (33) $i(all_55_1) % 9.45/2.14 | | (34) $i(all_55_0) % 9.45/2.14 | | % 9.45/2.14 | | GROUND_INST: instantiating (10) with uri_ex_p, all_8_3, all_55_2, all_55_0, % 9.45/2.14 | | simplifying with (2), (15), (19), (30), (32), (34) gives: % 9.45/2.14 | | (35) icext(all_8_3, all_55_2) % 9.45/2.14 | | % 9.45/2.14 | | GROUND_INST: instantiating (10) with uri_ex_p, all_8_3, all_55_1, all_55_0, % 9.45/2.14 | | simplifying with (2), (15), (19), (31), (33), (34) gives: % 9.45/2.14 | | (36) icext(all_8_3, all_55_1) % 9.45/2.14 | | % 9.45/2.14 | | GROUND_INST: instantiating (7) with all_8_3, all_8_1, uri_ex_w, all_55_2, % 9.45/2.14 | | simplifying with (3), (16), (17), (18), (19), (20), (32), (35) % 9.45/2.14 | | gives: % 9.45/2.14 | | (37) all_55_2 = uri_ex_w % 9.45/2.14 | | % 9.45/2.14 | | GROUND_INST: instantiating (7) with all_8_3, all_8_1, uri_ex_w, all_55_1, % 9.45/2.14 | | simplifying with (3), (16), (17), (18), (19), (20), (33), (36) % 9.45/2.14 | | gives: % 9.45/2.14 | | (38) all_55_1 = uri_ex_w % 9.45/2.14 | | % 9.45/2.14 | | REDUCE: (29), (37), (38) imply: % 9.45/2.14 | | (39) $false % 9.45/2.14 | | % 9.45/2.14 | | CLOSE: (39) is inconsistent. % 9.45/2.14 | | % 9.45/2.14 | End of split % 9.45/2.14 | % 9.45/2.14 End of proof % 9.45/2.14 % SZS output end Proof for theBenchmark % 9.45/2.14 % 9.45/2.14 1530ms %------------------------------------------------------------------------------