TSTP Solution File: SWB032+2 by Princess---230619
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%------------------------------------------------------------------------------
% 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
%------------------------------------------------------------------------------