%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SWB032+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 : n018.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 20:11:56 EDT 2023 % Result : Theorem 5.24s 1.57s % Output : Proof 7.94s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SWB032+2 : TPTP v8.1.2. Released v5.2.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.35 % Computer : n018.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % 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 : Sun Aug 27 06:59:15 EDT 2023 % 0.13/0.35 % CPUTime : % 0.20/0.61 ________ _____ % 0.20/0.61 ___ __ \_________(_)________________________________ % 0.20/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.20/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.20/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.20/0.61 % 0.20/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.20/0.61 (2023-06-19) % 0.20/0.61 % 0.20/0.61 (c) Philipp Rümmer, 2009-2023 % 0.20/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.20/0.61 Amanda Stjerna. % 0.20/0.61 Free software under BSD-3-Clause. % 0.20/0.61 % 0.20/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.20/0.61 % 0.20/0.61 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.20/0.62 Running up to 7 provers in parallel. % 0.20/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.20/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.20/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.20/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.20/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.20/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.20/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 1.92/0.99 Prover 1: Preprocessing ... % 1.92/0.99 Prover 4: Preprocessing ... % 2.42/1.04 Prover 0: Preprocessing ... % 2.42/1.04 Prover 2: Preprocessing ... % 2.42/1.04 Prover 5: Preprocessing ... % 2.42/1.04 Prover 6: Preprocessing ... % 2.42/1.04 Prover 3: Preprocessing ... % 3.57/1.19 Prover 5: Constructing countermodel ... % 3.80/1.22 Prover 2: Constructing countermodel ... % 3.99/1.29 Prover 6: Proving ... % 3.99/1.29 Prover 1: Constructing countermodel ... % 3.99/1.32 Prover 3: Constructing countermodel ... % 4.68/1.35 Prover 0: Proving ... % 4.68/1.39 Prover 4: Constructing countermodel ... % 4.68/1.48 Prover 3: gave up % 4.68/1.48 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 4.68/1.50 Prover 6: gave up % 4.68/1.50 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 5.24/1.51 Prover 7: Preprocessing ... % 5.24/1.52 Prover 8: Preprocessing ... % 5.24/1.52 Prover 1: gave up % 5.24/1.54 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 5.24/1.54 Prover 7: Constructing countermodel ... % 5.24/1.57 Prover 2: proved (934ms) % 5.24/1.57 % 5.24/1.57 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 5.24/1.57 % 5.24/1.57 Prover 5: stopped % 5.24/1.57 Prover 9: Preprocessing ... % 5.24/1.57 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 5.24/1.57 Prover 0: stopped % 6.44/1.58 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 6.44/1.59 Prover 8: Warning: ignoring some quantifiers % 6.44/1.59 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 6.44/1.60 Prover 10: Preprocessing ... % 6.44/1.60 Prover 8: Constructing countermodel ... % 6.44/1.60 Prover 11: Preprocessing ... % 6.44/1.61 Prover 13: Preprocessing ... % 6.44/1.64 Prover 10: Constructing countermodel ... % 7.18/1.68 Prover 13: Constructing countermodel ... % 7.18/1.69 Prover 4: Found proof (size 65) % 7.18/1.69 Prover 4: proved (1057ms) % 7.18/1.69 Prover 7: stopped % 7.18/1.69 Prover 10: stopped % 7.18/1.70 Prover 8: stopped % 7.31/1.70 Prover 13: stopped % 7.44/1.72 Prover 9: Constructing countermodel ... % 7.44/1.72 Prover 9: stopped % 7.44/1.73 Prover 11: Constructing countermodel ... % 7.44/1.74 Prover 11: stopped % 7.44/1.74 % 7.44/1.74 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 7.44/1.74 % 7.44/1.75 % SZS output start Proof for theBenchmark % 7.44/1.75 Assumptions after simplification: % 7.44/1.75 --------------------------------- % 7.44/1.75 % 7.44/1.75 (owl_dat_dtype_decimal_type) % 7.44/1.78 idc(uri_xsd_decimal) = 0 & $i(uri_xsd_decimal) % 7.44/1.78 % 7.44/1.78 (owl_dat_dtype_integer_type) % 7.44/1.78 idc(uri_xsd_integer) = 0 & $i(uri_xsd_integer) % 7.44/1.78 % 7.44/1.78 (owl_dat_dtype_relation_disjoint_plainliteral_real) % 7.44/1.78 $i(uri_owl_real) & $i(uri_rdf_PlainLiteral) & ! [v0: $i] : ( ~ % 7.44/1.78 (icext(uri_owl_real, v0) = 0) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) & % 7.44/1.78 icext(uri_rdf_PlainLiteral, v0) = v1)) & ! [v0: $i] : ( ~ % 7.44/1.78 (icext(uri_rdf_PlainLiteral, v0) = 0) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = % 7.44/1.78 0) & icext(uri_owl_real, v0) = v1)) % 7.44/1.78 % 7.44/1.78 (owl_dat_dtype_relation_subtype_decimal_rational) % 7.44/1.78 $i(uri_owl_rational) & $i(uri_xsd_decimal) & ! [v0: $i] : ! [v1: int] : (v1 % 7.44/1.78 = 0 | ~ (icext(uri_owl_rational, v0) = v1) | ~ $i(v0) | ? [v2: int] : ( ~ % 7.44/1.78 (v2 = 0) & icext(uri_xsd_decimal, v0) = v2)) & ! [v0: $i] : ( ~ % 7.44/1.78 (icext(uri_xsd_decimal, v0) = 0) | ~ $i(v0) | icext(uri_owl_rational, v0) = % 7.44/1.78 0) % 7.44/1.78 % 7.44/1.78 (owl_dat_dtype_relation_subtype_integer_decimal) % 7.44/1.79 $i(uri_xsd_integer) & $i(uri_xsd_decimal) & ! [v0: $i] : ! [v1: int] : (v1 = % 7.44/1.79 0 | ~ (icext(uri_xsd_decimal, v0) = v1) | ~ $i(v0) | ? [v2: int] : ( ~ % 7.44/1.79 (v2 = 0) & icext(uri_xsd_integer, v0) = v2)) & ! [v0: $i] : ( ~ % 7.44/1.79 (icext(uri_xsd_integer, v0) = 0) | ~ $i(v0) | icext(uri_xsd_decimal, v0) = % 7.44/1.79 0) % 7.44/1.79 % 7.44/1.79 (owl_dat_dtype_relation_subtype_rational_real) % 7.44/1.79 $i(uri_owl_rational) & $i(uri_owl_real) & ! [v0: $i] : ! [v1: int] : (v1 = 0 % 7.44/1.79 | ~ (icext(uri_owl_real, v0) = v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = % 7.44/1.79 0) & icext(uri_owl_rational, v0) = v2)) & ! [v0: $i] : ( ~ % 7.44/1.79 (icext(uri_owl_rational, v0) = 0) | ~ $i(v0) | icext(uri_owl_real, v0) = 0) % 7.44/1.79 % 7.44/1.79 (owl_dat_dtype_relation_subtype_string_plainliteral) % 7.44/1.79 $i(uri_rdf_PlainLiteral) & $i(uri_xsd_string) & ! [v0: $i] : ! [v1: int] : % 7.44/1.79 (v1 = 0 | ~ (icext(uri_rdf_PlainLiteral, v0) = v1) | ~ $i(v0) | ? [v2: int] % 7.44/1.79 : ( ~ (v2 = 0) & icext(uri_xsd_string, v0) = v2)) & ! [v0: $i] : ( ~ % 7.44/1.79 (icext(uri_xsd_string, v0) = 0) | ~ $i(v0) | icext(uri_rdf_PlainLiteral, % 7.44/1.79 v0) = 0) % 7.44/1.79 % 7.44/1.79 (owl_dat_dtype_string_type) % 7.44/1.79 idc(uri_xsd_string) = 0 & $i(uri_xsd_string) % 7.44/1.79 % 7.44/1.79 (owl_eqdis_disjointwith) % 7.44/1.80 $i(uri_owl_disjointWith) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 % 7.44/1.80 | ~ (iext(uri_owl_disjointWith, v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? % 7.44/1.80 [v3: any] : ? [v4: any] : ? [v5: $i] : ? [v6: int] : ? [v7: int] : % 7.44/1.80 ($i(v5) & ((v7 = 0 & v6 = 0 & icext(v1, v5) = 0 & icext(v0, v5) = 0) | % 7.44/1.80 (ic(v1) = v4 & ic(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0)))))) & ! [v0: % 7.44/1.80 $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (iext(uri_owl_disjointWith, v0, v1) = % 7.44/1.80 0) | ~ (icext(v1, v2) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: % 7.44/1.80 int] : ( ~ (v3 = 0) & icext(v0, v2) = v3)) & ! [v0: $i] : ! [v1: $i] : % 7.44/1.80 ! [v2: $i] : ( ~ (iext(uri_owl_disjointWith, v0, v1) = 0) | ~ (icext(v0, v2) % 7.44/1.80 = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0) & % 7.44/1.80 icext(v1, v2) = v3)) & ! [v0: $i] : ! [v1: $i] : ( ~ % 7.44/1.80 (iext(uri_owl_disjointWith, v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | (ic(v1) = % 7.44/1.80 0 & ic(v0) = 0)) % 7.44/1.80 % 7.44/1.80 (owl_parts_idc_cond_set) % 7.44/1.81 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (ic(v0) = v1) | ~ $i(v0) | ? [v2: % 7.44/1.81 int] : ( ~ (v2 = 0) & idc(v0) = v2)) & ! [v0: $i] : ( ~ (idc(v0) = 0) | % 7.44/1.81 ~ $i(v0) | ic(v0) = 0) % 7.44/1.81 % 7.44/1.81 (owl_rdfsext_subclassof) % 7.44/1.81 $i(uri_rdfs_subClassOf) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 7.44/1.81 int] : (v3 = 0 | ~ (iext(uri_rdfs_subClassOf, v0, v1) = 0) | ~ (icext(v1, % 7.44/1.81 v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: int] : ( ~ (v4 = % 7.44/1.81 0) & icext(v0, v2) = v4)) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : % 7.44/1.81 (v2 = 0 | ~ (iext(uri_rdfs_subClassOf, v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) % 7.44/1.81 | ? [v3: any] : ? [v4: any] : ? [v5: $i] : ? [v6: int] : ? [v7: int] : % 7.44/1.81 ($i(v5) & ((v6 = 0 & ~ (v7 = 0) & icext(v1, v5) = v7 & icext(v0, v5) = 0) | % 7.44/1.81 (ic(v1) = v4 & ic(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0)))))) & ! [v0: % 7.44/1.81 $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (iext(uri_rdfs_subClassOf, v0, v1) = % 7.44/1.81 0) | ~ (icext(v0, v2) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 7.44/1.81 icext(v1, v2) = 0) & ! [v0: $i] : ! [v1: $i] : ( ~ % 7.44/1.81 (iext(uri_rdfs_subClassOf, v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | (ic(v1) = % 7.44/1.81 0 & ic(v0) = 0)) % 7.44/1.81 % 7.44/1.81 (testcase_conclusion_fullish_032_Datatype_Relationships) % 7.44/1.82 $i(uri_owl_disjointWith) & $i(uri_rdfs_subClassOf) & $i(uri_xsd_integer) & % 7.44/1.82 $i(uri_xsd_decimal) & $i(uri_xsd_string) & ? [v0: any] : ? [v1: any] : % 7.44/1.82 (iext(uri_owl_disjointWith, uri_xsd_decimal, uri_xsd_string) = v0 & % 7.44/1.82 iext(uri_rdfs_subClassOf, uri_xsd_integer, uri_xsd_decimal) = v1 & ( ~ (v1 = % 7.44/1.82 0) | ~ (v0 = 0))) % 7.44/1.82 % 7.44/1.82 (function-axioms) % 7.94/1.82 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 7.94/1.82 [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (iext(v4, v3, v2) = v1) | ~ (iext(v4, % 7.94/1.82 v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] % 7.94/1.82 : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (icext(v3, v2) = v1) | ~ % 7.94/1.82 (icext(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 7.94/1.82 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (ic(v2) = v1) | ~ (ic(v2) % 7.94/1.82 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 7.94/1.82 $i] : (v1 = v0 | ~ (idc(v2) = v1) | ~ (idc(v2) = v0)) % 7.94/1.82 % 7.94/1.82 Those formulas are unsatisfiable: % 7.94/1.82 --------------------------------- % 7.94/1.82 % 7.94/1.82 Begin of proof % 7.94/1.82 | % 7.94/1.82 | ALPHA: (owl_dat_dtype_string_type) implies: % 7.94/1.82 | (1) idc(uri_xsd_string) = 0 % 7.94/1.82 | % 7.94/1.82 | ALPHA: (owl_dat_dtype_decimal_type) implies: % 7.94/1.82 | (2) idc(uri_xsd_decimal) = 0 % 7.94/1.82 | % 7.94/1.82 | ALPHA: (owl_dat_dtype_integer_type) implies: % 7.94/1.82 | (3) idc(uri_xsd_integer) = 0 % 7.94/1.82 | % 7.94/1.82 | ALPHA: (owl_dat_dtype_relation_disjoint_plainliteral_real) implies: % 7.94/1.82 | (4) ! [v0: $i] : ( ~ (icext(uri_rdf_PlainLiteral, v0) = 0) | ~ $i(v0) | % 7.94/1.82 | ? [v1: int] : ( ~ (v1 = 0) & icext(uri_owl_real, v0) = v1)) % 7.94/1.82 | % 7.94/1.82 | ALPHA: (owl_dat_dtype_relation_subtype_string_plainliteral) implies: % 7.94/1.82 | (5) ! [v0: $i] : ( ~ (icext(uri_xsd_string, v0) = 0) | ~ $i(v0) | % 7.94/1.82 | icext(uri_rdf_PlainLiteral, v0) = 0) % 7.94/1.82 | % 7.94/1.82 | ALPHA: (owl_dat_dtype_relation_subtype_rational_real) implies: % 7.94/1.83 | (6) ! [v0: $i] : ( ~ (icext(uri_owl_rational, v0) = 0) | ~ $i(v0) | % 7.94/1.83 | icext(uri_owl_real, v0) = 0) % 7.94/1.83 | % 7.94/1.83 | ALPHA: (owl_dat_dtype_relation_subtype_decimal_rational) implies: % 7.94/1.83 | (7) ! [v0: $i] : ( ~ (icext(uri_xsd_decimal, v0) = 0) | ~ $i(v0) | % 7.94/1.83 | icext(uri_owl_rational, v0) = 0) % 7.94/1.83 | % 7.94/1.83 | ALPHA: (owl_dat_dtype_relation_subtype_integer_decimal) implies: % 7.94/1.83 | (8) ! [v0: $i] : ( ~ (icext(uri_xsd_integer, v0) = 0) | ~ $i(v0) | % 7.94/1.83 | icext(uri_xsd_decimal, v0) = 0) % 7.94/1.83 | % 7.94/1.83 | ALPHA: (owl_parts_idc_cond_set) implies: % 7.94/1.83 | (9) ! [v0: $i] : ( ~ (idc(v0) = 0) | ~ $i(v0) | ic(v0) = 0) % 7.94/1.83 | % 7.94/1.83 | ALPHA: (owl_rdfsext_subclassof) implies: % 7.94/1.83 | (10) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ % 7.94/1.83 | (iext(uri_rdfs_subClassOf, v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | % 7.94/1.83 | ? [v3: any] : ? [v4: any] : ? [v5: $i] : ? [v6: int] : ? [v7: % 7.94/1.83 | int] : ($i(v5) & ((v6 = 0 & ~ (v7 = 0) & icext(v1, v5) = v7 & % 7.94/1.83 | icext(v0, v5) = 0) | (ic(v1) = v4 & ic(v0) = v3 & ( ~ (v4 = 0) % 7.94/1.83 | | ~ (v3 = 0)))))) % 7.94/1.83 | % 7.94/1.83 | ALPHA: (owl_eqdis_disjointwith) implies: % 7.94/1.83 | (11) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ % 7.94/1.83 | (iext(uri_owl_disjointWith, v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | % 7.94/1.83 | ? [v3: any] : ? [v4: any] : ? [v5: $i] : ? [v6: int] : ? [v7: % 7.94/1.83 | int] : ($i(v5) & ((v7 = 0 & v6 = 0 & icext(v1, v5) = 0 & icext(v0, % 7.94/1.83 | v5) = 0) | (ic(v1) = v4 & ic(v0) = v3 & ( ~ (v4 = 0) | ~ % 7.94/1.83 | (v3 = 0)))))) % 7.94/1.83 | % 7.94/1.83 | ALPHA: (testcase_conclusion_fullish_032_Datatype_Relationships) implies: % 7.94/1.83 | (12) $i(uri_xsd_string) % 7.94/1.83 | (13) $i(uri_xsd_decimal) % 7.94/1.83 | (14) $i(uri_xsd_integer) % 7.94/1.84 | (15) ? [v0: any] : ? [v1: any] : (iext(uri_owl_disjointWith, % 7.94/1.84 | uri_xsd_decimal, uri_xsd_string) = v0 & iext(uri_rdfs_subClassOf, % 7.94/1.84 | uri_xsd_integer, uri_xsd_decimal) = v1 & ( ~ (v1 = 0) | ~ (v0 = % 7.94/1.84 | 0))) % 7.94/1.84 | % 7.94/1.84 | ALPHA: (function-axioms) implies: % 7.94/1.84 | (16) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 7.94/1.84 | : (v1 = v0 | ~ (ic(v2) = v1) | ~ (ic(v2) = v0)) % 7.94/1.84 | (17) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 7.94/1.84 | : ! [v3: $i] : (v1 = v0 | ~ (icext(v3, v2) = v1) | ~ (icext(v3, v2) % 7.94/1.84 | = v0)) % 7.94/1.84 | % 7.94/1.84 | DELTA: instantiating (15) with fresh symbols all_12_0, all_12_1 gives: % 7.94/1.84 | (18) iext(uri_owl_disjointWith, uri_xsd_decimal, uri_xsd_string) = all_12_1 % 7.94/1.84 | & iext(uri_rdfs_subClassOf, uri_xsd_integer, uri_xsd_decimal) = % 7.94/1.84 | all_12_0 & ( ~ (all_12_0 = 0) | ~ (all_12_1 = 0)) % 7.94/1.84 | % 7.94/1.84 | ALPHA: (18) implies: % 7.94/1.84 | (19) iext(uri_rdfs_subClassOf, uri_xsd_integer, uri_xsd_decimal) = all_12_0 % 7.94/1.84 | (20) iext(uri_owl_disjointWith, uri_xsd_decimal, uri_xsd_string) = all_12_1 % 7.94/1.84 | (21) ~ (all_12_0 = 0) | ~ (all_12_1 = 0) % 7.94/1.84 | % 7.94/1.84 | GROUND_INST: instantiating (9) with uri_xsd_string, simplifying with (1), (12) % 7.94/1.84 | gives: % 7.94/1.84 | (22) ic(uri_xsd_string) = 0 % 7.94/1.84 | % 7.94/1.84 | GROUND_INST: instantiating (9) with uri_xsd_decimal, simplifying with (2), % 7.94/1.84 | (13) gives: % 7.94/1.84 | (23) ic(uri_xsd_decimal) = 0 % 7.94/1.84 | % 7.94/1.84 | GROUND_INST: instantiating (9) with uri_xsd_integer, simplifying with (3), % 7.94/1.84 | (14) gives: % 7.94/1.84 | (24) ic(uri_xsd_integer) = 0 % 7.94/1.84 | % 7.94/1.84 | GROUND_INST: instantiating (10) with uri_xsd_integer, uri_xsd_decimal, % 7.94/1.84 | all_12_0, simplifying with (13), (14), (19) gives: % 7.94/1.84 | (25) all_12_0 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: % 7.94/1.84 | int] : ? [v4: int] : ($i(v2) & ((v3 = 0 & ~ (v4 = 0) & % 7.94/1.84 | icext(uri_xsd_integer, v2) = 0 & icext(uri_xsd_decimal, v2) = % 7.94/1.84 | v4) | (ic(uri_xsd_integer) = v0 & ic(uri_xsd_decimal) = v1 & ( ~ % 7.94/1.84 | (v1 = 0) | ~ (v0 = 0))))) % 7.94/1.84 | % 7.94/1.84 | GROUND_INST: instantiating (11) with uri_xsd_decimal, uri_xsd_string, % 7.94/1.84 | all_12_1, simplifying with (12), (13), (20) gives: % 7.94/1.85 | (26) all_12_1 = 0 | ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: % 7.94/1.85 | int] : ? [v4: int] : ($i(v2) & ((v4 = 0 & v3 = 0 & % 7.94/1.85 | icext(uri_xsd_decimal, v2) = 0 & icext(uri_xsd_string, v2) = 0) % 7.94/1.85 | | (ic(uri_xsd_decimal) = v0 & ic(uri_xsd_string) = v1 & ( ~ (v1 = % 7.94/1.85 | 0) | ~ (v0 = 0))))) % 7.94/1.85 | % 7.94/1.85 | BETA: splitting (21) gives: % 7.94/1.85 | % 7.94/1.85 | Case 1: % 7.94/1.85 | | % 7.94/1.85 | | (27) ~ (all_12_0 = 0) % 7.94/1.85 | | % 7.94/1.85 | | BETA: splitting (25) gives: % 7.94/1.85 | | % 7.94/1.85 | | Case 1: % 7.94/1.85 | | | % 7.94/1.85 | | | (28) all_12_0 = 0 % 7.94/1.85 | | | % 7.94/1.85 | | | REDUCE: (27), (28) imply: % 7.94/1.85 | | | (29) $false % 7.94/1.85 | | | % 7.94/1.85 | | | CLOSE: (29) is inconsistent. % 7.94/1.85 | | | % 7.94/1.85 | | Case 2: % 7.94/1.85 | | | % 7.94/1.85 | | | (30) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: int] : ? [v4: % 7.94/1.85 | | | int] : ($i(v2) & ((v3 = 0 & ~ (v4 = 0) & icext(uri_xsd_integer, % 7.94/1.85 | | | v2) = 0 & icext(uri_xsd_decimal, v2) = v4) | % 7.94/1.85 | | | (ic(uri_xsd_integer) = v0 & ic(uri_xsd_decimal) = v1 & ( ~ (v1 % 7.94/1.85 | | | = 0) | ~ (v0 = 0))))) % 7.94/1.85 | | | % 7.94/1.85 | | | DELTA: instantiating (30) with fresh symbols all_31_0, all_31_1, all_31_2, % 7.94/1.85 | | | all_31_3, all_31_4 gives: % 7.94/1.85 | | | (31) $i(all_31_2) & ((all_31_1 = 0 & ~ (all_31_0 = 0) & % 7.94/1.85 | | | icext(uri_xsd_integer, all_31_2) = 0 & icext(uri_xsd_decimal, % 7.94/1.85 | | | all_31_2) = all_31_0) | (ic(uri_xsd_integer) = all_31_4 & % 7.94/1.85 | | | ic(uri_xsd_decimal) = all_31_3 & ( ~ (all_31_3 = 0) | ~ % 7.94/1.85 | | | (all_31_4 = 0)))) % 7.94/1.85 | | | % 7.94/1.85 | | | ALPHA: (31) implies: % 7.94/1.85 | | | (32) $i(all_31_2) % 7.94/1.85 | | | (33) (all_31_1 = 0 & ~ (all_31_0 = 0) & icext(uri_xsd_integer, % 7.94/1.85 | | | all_31_2) = 0 & icext(uri_xsd_decimal, all_31_2) = all_31_0) | % 7.94/1.85 | | | (ic(uri_xsd_integer) = all_31_4 & ic(uri_xsd_decimal) = all_31_3 & % 7.94/1.85 | | | ( ~ (all_31_3 = 0) | ~ (all_31_4 = 0))) % 7.94/1.85 | | | % 7.94/1.85 | | | BETA: splitting (33) gives: % 7.94/1.85 | | | % 7.94/1.85 | | | Case 1: % 7.94/1.85 | | | | % 7.94/1.85 | | | | (34) all_31_1 = 0 & ~ (all_31_0 = 0) & icext(uri_xsd_integer, % 7.94/1.85 | | | | all_31_2) = 0 & icext(uri_xsd_decimal, all_31_2) = all_31_0 % 7.94/1.85 | | | | % 7.94/1.85 | | | | ALPHA: (34) implies: % 7.94/1.85 | | | | (35) ~ (all_31_0 = 0) % 7.94/1.85 | | | | (36) icext(uri_xsd_decimal, all_31_2) = all_31_0 % 7.94/1.85 | | | | (37) icext(uri_xsd_integer, all_31_2) = 0 % 7.94/1.85 | | | | % 7.94/1.85 | | | | GROUND_INST: instantiating (8) with all_31_2, simplifying with (32), % 7.94/1.85 | | | | (37) gives: % 7.94/1.85 | | | | (38) icext(uri_xsd_decimal, all_31_2) = 0 % 7.94/1.85 | | | | % 7.94/1.85 | | | | GROUND_INST: instantiating (17) with all_31_0, 0, all_31_2, % 7.94/1.85 | | | | uri_xsd_decimal, simplifying with (36), (38) gives: % 7.94/1.85 | | | | (39) all_31_0 = 0 % 7.94/1.85 | | | | % 7.94/1.85 | | | | REDUCE: (35), (39) imply: % 7.94/1.85 | | | | (40) $false % 7.94/1.85 | | | | % 7.94/1.85 | | | | CLOSE: (40) is inconsistent. % 7.94/1.85 | | | | % 7.94/1.85 | | | Case 2: % 7.94/1.85 | | | | % 7.94/1.86 | | | | (41) ic(uri_xsd_integer) = all_31_4 & ic(uri_xsd_decimal) = all_31_3 % 7.94/1.86 | | | | & ( ~ (all_31_3 = 0) | ~ (all_31_4 = 0)) % 7.94/1.86 | | | | % 7.94/1.86 | | | | ALPHA: (41) implies: % 7.94/1.86 | | | | (42) ic(uri_xsd_decimal) = all_31_3 % 7.94/1.86 | | | | (43) ic(uri_xsd_integer) = all_31_4 % 7.94/1.86 | | | | (44) ~ (all_31_3 = 0) | ~ (all_31_4 = 0) % 7.94/1.86 | | | | % 7.94/1.86 | | | | GROUND_INST: instantiating (16) with 0, all_31_3, uri_xsd_decimal, % 7.94/1.86 | | | | simplifying with (23), (42) gives: % 7.94/1.86 | | | | (45) all_31_3 = 0 % 7.94/1.86 | | | | % 7.94/1.86 | | | | GROUND_INST: instantiating (16) with 0, all_31_4, uri_xsd_integer, % 7.94/1.86 | | | | simplifying with (24), (43) gives: % 7.94/1.86 | | | | (46) all_31_4 = 0 % 7.94/1.86 | | | | % 7.94/1.86 | | | | BETA: splitting (44) gives: % 7.94/1.86 | | | | % 7.94/1.86 | | | | Case 1: % 7.94/1.86 | | | | | % 7.94/1.86 | | | | | (47) ~ (all_31_3 = 0) % 7.94/1.86 | | | | | % 7.94/1.86 | | | | | REDUCE: (45), (47) imply: % 7.94/1.86 | | | | | (48) $false % 7.94/1.86 | | | | | % 7.94/1.86 | | | | | CLOSE: (48) is inconsistent. % 7.94/1.86 | | | | | % 7.94/1.86 | | | | Case 2: % 7.94/1.86 | | | | | % 7.94/1.86 | | | | | (49) ~ (all_31_4 = 0) % 7.94/1.86 | | | | | % 7.94/1.86 | | | | | REDUCE: (46), (49) imply: % 7.94/1.86 | | | | | (50) $false % 7.94/1.86 | | | | | % 7.94/1.86 | | | | | CLOSE: (50) is inconsistent. % 7.94/1.86 | | | | | % 7.94/1.86 | | | | End of split % 7.94/1.86 | | | | % 7.94/1.86 | | | End of split % 7.94/1.86 | | | % 7.94/1.86 | | End of split % 7.94/1.86 | | % 7.94/1.86 | Case 2: % 7.94/1.86 | | % 7.94/1.86 | | (51) ~ (all_12_1 = 0) % 7.94/1.86 | | % 7.94/1.86 | | BETA: splitting (26) gives: % 7.94/1.86 | | % 7.94/1.86 | | Case 1: % 7.94/1.86 | | | % 7.94/1.86 | | | (52) all_12_1 = 0 % 7.94/1.86 | | | % 7.94/1.86 | | | REDUCE: (51), (52) imply: % 7.94/1.86 | | | (53) $false % 7.94/1.86 | | | % 7.94/1.86 | | | CLOSE: (53) is inconsistent. % 7.94/1.86 | | | % 7.94/1.86 | | Case 2: % 7.94/1.86 | | | % 7.94/1.86 | | | (54) ? [v0: any] : ? [v1: any] : ? [v2: $i] : ? [v3: int] : ? [v4: % 7.94/1.86 | | | int] : ($i(v2) & ((v4 = 0 & v3 = 0 & icext(uri_xsd_decimal, v2) % 7.94/1.86 | | | = 0 & icext(uri_xsd_string, v2) = 0) | (ic(uri_xsd_decimal) % 7.94/1.86 | | | = v0 & ic(uri_xsd_string) = v1 & ( ~ (v1 = 0) | ~ (v0 = % 7.94/1.86 | | | 0))))) % 7.94/1.86 | | | % 7.94/1.86 | | | DELTA: instantiating (54) with fresh symbols all_31_0, all_31_1, all_31_2, % 7.94/1.86 | | | all_31_3, all_31_4 gives: % 7.94/1.86 | | | (55) $i(all_31_2) & ((all_31_0 = 0 & all_31_1 = 0 & % 7.94/1.86 | | | icext(uri_xsd_decimal, all_31_2) = 0 & icext(uri_xsd_string, % 7.94/1.86 | | | all_31_2) = 0) | (ic(uri_xsd_decimal) = all_31_4 & % 7.94/1.86 | | | ic(uri_xsd_string) = all_31_3 & ( ~ (all_31_3 = 0) | ~ % 7.94/1.86 | | | (all_31_4 = 0)))) % 7.94/1.86 | | | % 7.94/1.86 | | | ALPHA: (55) implies: % 7.94/1.86 | | | (56) $i(all_31_2) % 7.94/1.86 | | | (57) (all_31_0 = 0 & all_31_1 = 0 & icext(uri_xsd_decimal, all_31_2) = % 7.94/1.86 | | | 0 & icext(uri_xsd_string, all_31_2) = 0) | (ic(uri_xsd_decimal) % 7.94/1.86 | | | = all_31_4 & ic(uri_xsd_string) = all_31_3 & ( ~ (all_31_3 = 0) % 7.94/1.86 | | | | ~ (all_31_4 = 0))) % 7.94/1.86 | | | % 7.94/1.86 | | | BETA: splitting (57) gives: % 7.94/1.86 | | | % 7.94/1.86 | | | Case 1: % 7.94/1.86 | | | | % 7.94/1.86 | | | | (58) all_31_0 = 0 & all_31_1 = 0 & icext(uri_xsd_decimal, all_31_2) = % 7.94/1.86 | | | | 0 & icext(uri_xsd_string, all_31_2) = 0 % 7.94/1.86 | | | | % 7.94/1.86 | | | | ALPHA: (58) implies: % 7.94/1.87 | | | | (59) icext(uri_xsd_string, all_31_2) = 0 % 7.94/1.87 | | | | (60) icext(uri_xsd_decimal, all_31_2) = 0 % 7.94/1.87 | | | | % 7.94/1.87 | | | | GROUND_INST: instantiating (5) with all_31_2, simplifying with (56), % 7.94/1.87 | | | | (59) gives: % 7.94/1.87 | | | | (61) icext(uri_rdf_PlainLiteral, all_31_2) = 0 % 7.94/1.87 | | | | % 7.94/1.87 | | | | GROUND_INST: instantiating (7) with all_31_2, simplifying with (56), % 7.94/1.87 | | | | (60) gives: % 7.94/1.87 | | | | (62) icext(uri_owl_rational, all_31_2) = 0 % 7.94/1.87 | | | | % 7.94/1.87 | | | | GROUND_INST: instantiating (4) with all_31_2, simplifying with (56), % 7.94/1.87 | | | | (61) gives: % 7.94/1.87 | | | | (63) ? [v0: int] : ( ~ (v0 = 0) & icext(uri_owl_real, all_31_2) = % 7.94/1.87 | | | | v0) % 7.94/1.87 | | | | % 7.94/1.87 | | | | GROUND_INST: instantiating (6) with all_31_2, simplifying with (56), % 7.94/1.87 | | | | (62) gives: % 7.94/1.87 | | | | (64) icext(uri_owl_real, all_31_2) = 0 % 7.94/1.87 | | | | % 7.94/1.87 | | | | DELTA: instantiating (63) with fresh symbol all_49_0 gives: % 7.94/1.87 | | | | (65) ~ (all_49_0 = 0) & icext(uri_owl_real, all_31_2) = all_49_0 % 7.94/1.87 | | | | % 7.94/1.87 | | | | ALPHA: (65) implies: % 7.94/1.87 | | | | (66) ~ (all_49_0 = 0) % 7.94/1.87 | | | | (67) icext(uri_owl_real, all_31_2) = all_49_0 % 7.94/1.87 | | | | % 7.94/1.87 | | | | GROUND_INST: instantiating (17) with 0, all_49_0, all_31_2, % 7.94/1.87 | | | | uri_owl_real, simplifying with (64), (67) gives: % 7.94/1.87 | | | | (68) all_49_0 = 0 % 7.94/1.87 | | | | % 7.94/1.87 | | | | REDUCE: (66), (68) imply: % 7.94/1.87 | | | | (69) $false % 7.94/1.87 | | | | % 7.94/1.87 | | | | CLOSE: (69) is inconsistent. % 7.94/1.87 | | | | % 7.94/1.87 | | | Case 2: % 7.94/1.87 | | | | % 7.94/1.87 | | | | (70) ic(uri_xsd_decimal) = all_31_4 & ic(uri_xsd_string) = all_31_3 & % 7.94/1.87 | | | | ( ~ (all_31_3 = 0) | ~ (all_31_4 = 0)) % 7.94/1.87 | | | | % 7.94/1.87 | | | | ALPHA: (70) implies: % 7.94/1.87 | | | | (71) ic(uri_xsd_string) = all_31_3 % 7.94/1.87 | | | | (72) ic(uri_xsd_decimal) = all_31_4 % 7.94/1.87 | | | | (73) ~ (all_31_3 = 0) | ~ (all_31_4 = 0) % 7.94/1.87 | | | | % 7.94/1.87 | | | | GROUND_INST: instantiating (16) with 0, all_31_3, uri_xsd_string, % 7.94/1.87 | | | | simplifying with (22), (71) gives: % 7.94/1.87 | | | | (74) all_31_3 = 0 % 7.94/1.87 | | | | % 7.94/1.87 | | | | GROUND_INST: instantiating (16) with 0, all_31_4, uri_xsd_decimal, % 7.94/1.87 | | | | simplifying with (23), (72) gives: % 7.94/1.87 | | | | (75) all_31_4 = 0 % 7.94/1.87 | | | | % 7.94/1.87 | | | | BETA: splitting (73) gives: % 7.94/1.87 | | | | % 7.94/1.87 | | | | Case 1: % 7.94/1.87 | | | | | % 7.94/1.87 | | | | | (76) ~ (all_31_3 = 0) % 7.94/1.87 | | | | | % 7.94/1.87 | | | | | REDUCE: (74), (76) imply: % 7.94/1.87 | | | | | (77) $false % 7.94/1.87 | | | | | % 7.94/1.87 | | | | | CLOSE: (77) is inconsistent. % 7.94/1.87 | | | | | % 7.94/1.87 | | | | Case 2: % 7.94/1.87 | | | | | % 7.94/1.87 | | | | | (78) ~ (all_31_4 = 0) % 7.94/1.87 | | | | | % 7.94/1.87 | | | | | REDUCE: (75), (78) imply: % 7.94/1.87 | | | | | (79) $false % 7.94/1.87 | | | | | % 7.94/1.87 | | | | | CLOSE: (79) is inconsistent. % 7.94/1.87 | | | | | % 7.94/1.87 | | | | End of split % 7.94/1.87 | | | | % 7.94/1.87 | | | End of split % 7.94/1.87 | | | % 7.94/1.87 | | End of split % 7.94/1.87 | | % 7.94/1.87 | End of split % 7.94/1.87 | % 7.94/1.87 End of proof % 7.94/1.87 % SZS output end Proof for theBenchmark % 7.94/1.87 % 7.94/1.87 1261ms %------------------------------------------------------------------------------