TSTP Solution File: SWB012+2 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SWB012+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 : n031.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 20:11:40 EDT 2023
% Result : Theorem 13.02s 2.61s
% Output : Proof 15.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWB012+2 : TPTP v8.1.2. Released v5.2.0.
% 0.11/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34 % Computer : n031.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 07:12:54 EDT 2023
% 0.13/0.34 % 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 ...
% 0.19/0.62 Running up to 7 provers in parallel.
% 0.19/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.19/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.19/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.19/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.19/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.19/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.19/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.20/1.05 Prover 1: Preprocessing ...
% 2.20/1.05 Prover 4: Preprocessing ...
% 2.56/1.09 Prover 2: Preprocessing ...
% 2.56/1.09 Prover 0: Preprocessing ...
% 2.56/1.09 Prover 6: Preprocessing ...
% 2.56/1.09 Prover 3: Preprocessing ...
% 2.56/1.09 Prover 5: Preprocessing ...
% 3.99/1.38 Prover 5: Proving ...
% 3.99/1.39 Prover 2: Proving ...
% 4.70/1.43 Prover 3: Constructing countermodel ...
% 4.70/1.44 Prover 6: Proving ...
% 4.70/1.45 Prover 1: Constructing countermodel ...
% 6.38/1.67 Prover 3: gave up
% 6.38/1.67 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 6.38/1.68 Prover 1: gave up
% 6.38/1.68 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 6.38/1.69 Prover 7: Preprocessing ...
% 6.76/1.70 Prover 8: Preprocessing ...
% 7.15/1.77 Prover 7: Constructing countermodel ...
% 7.15/1.81 Prover 8: Warning: ignoring some quantifiers
% 7.15/1.81 Prover 8: Constructing countermodel ...
% 8.20/1.95 Prover 8: gave up
% 8.20/1.95 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889
% 8.20/1.97 Prover 9: Preprocessing ...
% 13.02/2.61 Prover 2: proved (1979ms)
% 13.02/2.61
% 13.02/2.61 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.02/2.61
% 13.02/2.61 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 13.02/2.61 Prover 6: stopped
% 13.02/2.61 Prover 5: stopped
% 13.02/2.61 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 13.02/2.61 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 13.59/2.64 Prover 11: Preprocessing ...
% 13.59/2.65 Prover 10: Preprocessing ...
% 13.59/2.67 Prover 13: Preprocessing ...
% 13.59/2.67 Prover 4: Constructing countermodel ...
% 13.59/2.68 Prover 10: Constructing countermodel ...
% 13.59/2.71 Prover 13: Constructing countermodel ...
% 14.33/2.73 Prover 7: Found proof (size 19)
% 14.33/2.73 Prover 7: proved (1062ms)
% 14.33/2.74 Prover 11: stopped
% 14.33/2.75 Prover 13: stopped
% 14.33/2.75 Prover 4: stopped
% 14.33/2.75 Prover 10: stopped
% 14.33/2.76 Prover 0: Proving ...
% 14.33/2.77 Prover 0: stopped
% 14.76/2.80 Prover 9: Constructing countermodel ...
% 14.76/2.80 Prover 9: stopped
% 14.76/2.80
% 14.76/2.80 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.76/2.80
% 14.76/2.81 % SZS output start Proof for theBenchmark
% 14.76/2.81 Assumptions after simplification:
% 14.76/2.81 ---------------------------------
% 14.76/2.81
% 14.76/2.81 (owl_bool_intersectionof_class_003)
% 14.76/2.83 $i(uri_owl_intersectionOf) & $i(uri_rdf_nil) & $i(uri_rdf_rest) &
% 14.76/2.83 $i(uri_rdf_first) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : !
% 14.76/2.83 [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~ $i(v7) | ~ $i(v6) |
% 14.76/2.83 ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 14.76/2.83 icext(v6, v7) | ~ icext(v4, v7) | ~ icext(v2, v7) | ~
% 14.76/2.83 iext(uri_owl_intersectionOf, v0, v1) | ~ iext(uri_rdf_rest, v5,
% 14.76/2.83 uri_rdf_nil) | ~ iext(uri_rdf_rest, v3, v5) | ~ iext(uri_rdf_rest, v1,
% 14.76/2.83 v3) | ~ iext(uri_rdf_first, v5, v6) | ~ iext(uri_rdf_first, v3, v4) | ~
% 14.76/2.83 iext(uri_rdf_first, v1, v2) | icext(v0, v7)) & ! [v0: $i] : ! [v1: $i] :
% 14.76/2.83 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 14.76/2.83 $i] : ( ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2)
% 14.76/2.83 | ~ $i(v1) | ~ $i(v0) | ~ icext(v0, v7) | ~ iext(uri_owl_intersectionOf,
% 14.76/2.83 v0, v1) | ~ iext(uri_rdf_rest, v5, uri_rdf_nil) | ~ iext(uri_rdf_rest,
% 14.76/2.83 v3, v5) | ~ iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v5, v6) |
% 14.76/2.83 ~ iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | icext(v6,
% 14.76/2.83 v7)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i]
% 14.76/2.83 : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~ $i(v7) | ~ $i(v6) | ~ $i(v5)
% 14.76/2.83 | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ icext(v0,
% 14.76/2.83 v7) | ~ iext(uri_owl_intersectionOf, v0, v1) | ~ iext(uri_rdf_rest, v5,
% 14.76/2.83 uri_rdf_nil) | ~ iext(uri_rdf_rest, v3, v5) | ~ iext(uri_rdf_rest, v1,
% 14.76/2.83 v3) | ~ iext(uri_rdf_first, v5, v6) | ~ iext(uri_rdf_first, v3, v4) | ~
% 14.76/2.83 iext(uri_rdf_first, v1, v2) | icext(v4, v7)) & ! [v0: $i] : ! [v1: $i] :
% 14.76/2.83 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 14.76/2.83 $i] : ( ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2)
% 14.76/2.83 | ~ $i(v1) | ~ $i(v0) | ~ icext(v0, v7) | ~ iext(uri_owl_intersectionOf,
% 14.76/2.83 v0, v1) | ~ iext(uri_rdf_rest, v5, uri_rdf_nil) | ~ iext(uri_rdf_rest,
% 14.76/2.83 v3, v5) | ~ iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v5, v6) |
% 14.76/2.83 ~ iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | icext(v2,
% 14.76/2.83 v7)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i]
% 14.76/2.83 : ! [v5: $i] : ! [v6: $i] : ( ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) |
% 14.76/2.83 ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ ic(v6) | ~ ic(v4) | ~ ic(v2) | ~
% 14.76/2.83 ic(v0) | ~ iext(uri_rdf_rest, v5, uri_rdf_nil) | ~ iext(uri_rdf_rest, v3,
% 14.76/2.83 v5) | ~ iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v5, v6) | ~
% 14.76/2.83 iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) |
% 14.76/2.83 iext(uri_owl_intersectionOf, v0, v1) | ? [v7: $i] : ($i(v7) & ( ~ icext(v6,
% 14.76/2.83 v7) | ~ icext(v4, v7) | ~ icext(v2, v7) | ~ icext(v0, v7)) &
% 14.76/2.83 (icext(v0, v7) | (icext(v6, v7) & icext(v4, v7) & icext(v2, v7))))) & !
% 14.76/2.83 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i]
% 14.76/2.83 : ! [v6: $i] : ( ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) |
% 14.76/2.83 ~ $i(v1) | ~ $i(v0) | ~ iext(uri_owl_intersectionOf, v0, v1) | ~
% 14.76/2.83 iext(uri_rdf_rest, v5, uri_rdf_nil) | ~ iext(uri_rdf_rest, v3, v5) | ~
% 14.76/2.83 iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v5, v6) | ~
% 14.76/2.83 iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | ic(v6)) & !
% 14.76/2.83 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i]
% 14.76/2.83 : ! [v6: $i] : ( ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) |
% 14.76/2.83 ~ $i(v1) | ~ $i(v0) | ~ iext(uri_owl_intersectionOf, v0, v1) | ~
% 14.76/2.83 iext(uri_rdf_rest, v5, uri_rdf_nil) | ~ iext(uri_rdf_rest, v3, v5) | ~
% 14.76/2.83 iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v5, v6) | ~
% 14.76/2.83 iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | ic(v4)) & !
% 14.76/2.83 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i]
% 14.76/2.83 : ! [v6: $i] : ( ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) |
% 14.76/2.83 ~ $i(v1) | ~ $i(v0) | ~ iext(uri_owl_intersectionOf, v0, v1) | ~
% 14.76/2.83 iext(uri_rdf_rest, v5, uri_rdf_nil) | ~ iext(uri_rdf_rest, v3, v5) | ~
% 14.76/2.83 iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v5, v6) | ~
% 14.76/2.83 iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | ic(v2)) & !
% 14.76/2.83 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i]
% 14.76/2.83 : ! [v6: $i] : ( ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) |
% 14.76/2.83 ~ $i(v1) | ~ $i(v0) | ~ iext(uri_owl_intersectionOf, v0, v1) | ~
% 14.76/2.83 iext(uri_rdf_rest, v5, uri_rdf_nil) | ~ iext(uri_rdf_rest, v3, v5) | ~
% 14.76/2.83 iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v5, v6) | ~
% 14.76/2.83 iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | ic(v0))
% 14.76/2.83
% 14.76/2.83 (owl_restrict_hasvalue)
% 14.76/2.83 $i(uri_owl_onProperty) & $i(uri_owl_hasValue) & ! [v0: $i] : ! [v1: $i] : !
% 14.76/2.83 [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 14.76/2.83 icext(v0, v3) | ~ iext(uri_owl_onProperty, v0, v1) | ~
% 14.76/2.83 iext(uri_owl_hasValue, v0, v2) | iext(v1, v3, v2)) & ! [v0: $i] : ! [v1:
% 14.76/2.83 $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 14.76/2.83 $i(v0) | ~ iext(v1, v3, v2) | ~ iext(uri_owl_onProperty, v0, v1) | ~
% 14.76/2.83 iext(uri_owl_hasValue, v0, v2) | icext(v0, v3))
% 14.76/2.83
% 14.76/2.83 (rdfs_cext_def)
% 14.76/2.83 $i(uri_rdf_type) & ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~
% 14.76/2.83 icext(v1, v0) | iext(uri_rdf_type, v0, v1)) & ! [v0: $i] : ! [v1: $i] : (
% 14.76/2.83 ~ $i(v1) | ~ $i(v0) | ~ iext(uri_rdf_type, v0, v1) | icext(v1, v0))
% 14.76/2.83
% 14.76/2.83 (rdfs_domain_main)
% 14.76/2.83 $i(uri_rdfs_domain) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] :
% 14.76/2.83 ( ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ iext(v0, v2, v3) | ~
% 14.76/2.83 iext(uri_rdfs_domain, v0, v1) | icext(v1, v2))
% 14.76/2.83
% 14.76/2.83 (testcase_conclusion_fullish_012_Template_Class)
% 14.76/2.83 $i(uri_foaf_Person) & $i(uri_ex_alice) & $i(uri_owl_FunctionalProperty) &
% 14.76/2.83 $i(uri_ex_name) & $i(uri_rdf_type) & ( ~ iext(uri_rdf_type, uri_ex_alice,
% 14.76/2.83 uri_foaf_Person) | ~ iext(uri_rdf_type, uri_ex_name,
% 14.76/2.83 uri_owl_FunctionalProperty))
% 14.76/2.83
% 14.76/2.83 (testcase_premise_fullish_012_Template_Class)
% 14.76/2.85 $i(dat_str_alice) & $i(uri_owl_Restriction) & $i(uri_owl_DatatypeProperty) &
% 14.76/2.85 $i(uri_ex_PersonAttribute) & $i(uri_owl_Class) & $i(uri_foaf_Person) &
% 14.76/2.85 $i(uri_ex_alice) & $i(uri_owl_FunctionalProperty) & $i(uri_ex_name) &
% 14.76/2.85 $i(uri_owl_onProperty) & $i(uri_owl_hasValue) & $i(uri_owl_intersectionOf) &
% 14.76/2.85 $i(uri_rdf_nil) & $i(uri_rdf_rest) & $i(uri_rdf_first) & $i(uri_rdfs_domain) &
% 14.76/2.85 $i(uri_rdf_type) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ?
% 14.76/2.85 [v4: $i] : (literal_plain(dat_str_alice) = v0 & $i(v4) & $i(v3) & $i(v2) &
% 14.76/2.85 $i(v1) & $i(v0) & iext(uri_ex_name, uri_ex_alice, v0) &
% 14.76/2.85 iext(uri_owl_onProperty, v4, uri_rdfs_domain) & iext(uri_owl_hasValue, v4,
% 14.76/2.85 uri_foaf_Person) & iext(uri_owl_intersectionOf, uri_ex_PersonAttribute,
% 14.76/2.85 v1) & iext(uri_rdf_rest, v3, uri_rdf_nil) & iext(uri_rdf_rest, v2, v3) &
% 14.76/2.85 iext(uri_rdf_rest, v1, v2) & iext(uri_rdf_first, v3, v4) &
% 14.76/2.85 iext(uri_rdf_first, v2, uri_owl_FunctionalProperty) & iext(uri_rdf_first,
% 14.76/2.85 v1, uri_owl_DatatypeProperty) & iext(uri_rdf_type, v4,
% 14.76/2.85 uri_owl_Restriction) & iext(uri_rdf_type, uri_foaf_Person, uri_owl_Class)
% 14.76/2.85 & iext(uri_rdf_type, uri_ex_name, uri_ex_PersonAttribute))
% 14.76/2.85
% 14.76/2.85 Those formulas are unsatisfiable:
% 14.76/2.85 ---------------------------------
% 14.76/2.85
% 14.76/2.85 Begin of proof
% 14.76/2.86 |
% 14.76/2.86 | ALPHA: (rdfs_cext_def) implies:
% 14.76/2.86 | (1) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~
% 14.76/2.86 | iext(uri_rdf_type, v0, v1) | icext(v1, v0))
% 14.76/2.86 | (2) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ icext(v1, v0) |
% 14.76/2.86 | iext(uri_rdf_type, v0, v1))
% 14.76/2.86 |
% 14.76/2.86 | ALPHA: (rdfs_domain_main) implies:
% 14.76/2.86 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~
% 14.76/2.86 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ iext(v0, v2, v3) | ~
% 14.76/2.86 | iext(uri_rdfs_domain, v0, v1) | icext(v1, v2))
% 14.76/2.86 |
% 14.76/2.86 | ALPHA: (owl_bool_intersectionof_class_003) implies:
% 14.76/2.86 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 14.76/2.86 | ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~ $i(v7) | ~ $i(v6) | ~
% 14.76/2.86 | $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 14.76/2.86 | ~ icext(v0, v7) | ~ iext(uri_owl_intersectionOf, v0, v1) | ~
% 14.76/2.86 | iext(uri_rdf_rest, v5, uri_rdf_nil) | ~ iext(uri_rdf_rest, v3, v5) |
% 14.76/2.86 | ~ iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v5, v6) | ~
% 14.76/2.86 | iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) |
% 14.76/2.86 | icext(v4, v7))
% 14.76/2.86 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 14.76/2.86 | ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~ $i(v7) | ~ $i(v6) | ~
% 14.76/2.86 | $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 14.76/2.86 | ~ icext(v0, v7) | ~ iext(uri_owl_intersectionOf, v0, v1) | ~
% 14.76/2.86 | iext(uri_rdf_rest, v5, uri_rdf_nil) | ~ iext(uri_rdf_rest, v3, v5) |
% 14.76/2.86 | ~ iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v5, v6) | ~
% 14.76/2.86 | iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) |
% 14.76/2.86 | icext(v6, v7))
% 14.76/2.86 |
% 14.76/2.86 | ALPHA: (owl_restrict_hasvalue) implies:
% 14.76/2.86 | (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~
% 14.76/2.86 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ icext(v0, v3) | ~
% 14.76/2.86 | iext(uri_owl_onProperty, v0, v1) | ~ iext(uri_owl_hasValue, v0, v2)
% 14.76/2.86 | | iext(v1, v3, v2))
% 14.76/2.86 |
% 14.76/2.86 | ALPHA: (testcase_premise_fullish_012_Template_Class) implies:
% 14.76/2.86 | (7) $i(uri_rdfs_domain)
% 14.76/2.87 | (8) $i(uri_ex_PersonAttribute)
% 14.76/2.87 | (9) $i(uri_owl_DatatypeProperty)
% 15.11/2.87 | (10) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 15.11/2.87 | (literal_plain(dat_str_alice) = v0 & $i(v4) & $i(v3) & $i(v2) & $i(v1)
% 15.11/2.87 | & $i(v0) & iext(uri_ex_name, uri_ex_alice, v0) &
% 15.11/2.87 | iext(uri_owl_onProperty, v4, uri_rdfs_domain) &
% 15.11/2.87 | iext(uri_owl_hasValue, v4, uri_foaf_Person) &
% 15.11/2.87 | iext(uri_owl_intersectionOf, uri_ex_PersonAttribute, v1) &
% 15.11/2.87 | iext(uri_rdf_rest, v3, uri_rdf_nil) & iext(uri_rdf_rest, v2, v3) &
% 15.11/2.87 | iext(uri_rdf_rest, v1, v2) & iext(uri_rdf_first, v3, v4) &
% 15.11/2.87 | iext(uri_rdf_first, v2, uri_owl_FunctionalProperty) &
% 15.11/2.87 | iext(uri_rdf_first, v1, uri_owl_DatatypeProperty) &
% 15.11/2.87 | iext(uri_rdf_type, v4, uri_owl_Restriction) & iext(uri_rdf_type,
% 15.11/2.87 | uri_foaf_Person, uri_owl_Class) & iext(uri_rdf_type, uri_ex_name,
% 15.11/2.87 | uri_ex_PersonAttribute))
% 15.11/2.87 |
% 15.11/2.87 | ALPHA: (testcase_conclusion_fullish_012_Template_Class) implies:
% 15.12/2.87 | (11) $i(uri_ex_name)
% 15.12/2.87 | (12) $i(uri_owl_FunctionalProperty)
% 15.12/2.87 | (13) $i(uri_ex_alice)
% 15.12/2.87 | (14) $i(uri_foaf_Person)
% 15.12/2.87 | (15) ~ iext(uri_rdf_type, uri_ex_alice, uri_foaf_Person) | ~
% 15.12/2.87 | iext(uri_rdf_type, uri_ex_name, uri_owl_FunctionalProperty)
% 15.12/2.87 |
% 15.12/2.87 | DELTA: instantiating (10) with fresh symbols all_8_0, all_8_1, all_8_2,
% 15.12/2.87 | all_8_3, all_8_4 gives:
% 15.12/2.87 | (16) literal_plain(dat_str_alice) = all_8_4 & $i(all_8_0) & $i(all_8_1) &
% 15.12/2.87 | $i(all_8_2) & $i(all_8_3) & $i(all_8_4) & iext(uri_ex_name,
% 15.12/2.87 | uri_ex_alice, all_8_4) & iext(uri_owl_onProperty, all_8_0,
% 15.12/2.87 | uri_rdfs_domain) & iext(uri_owl_hasValue, all_8_0, uri_foaf_Person)
% 15.12/2.87 | & iext(uri_owl_intersectionOf, uri_ex_PersonAttribute, all_8_3) &
% 15.12/2.87 | iext(uri_rdf_rest, all_8_1, uri_rdf_nil) & iext(uri_rdf_rest, all_8_2,
% 15.12/2.87 | all_8_1) & iext(uri_rdf_rest, all_8_3, all_8_2) &
% 15.12/2.87 | iext(uri_rdf_first, all_8_1, all_8_0) & iext(uri_rdf_first, all_8_2,
% 15.12/2.87 | uri_owl_FunctionalProperty) & iext(uri_rdf_first, all_8_3,
% 15.12/2.87 | uri_owl_DatatypeProperty) & iext(uri_rdf_type, all_8_0,
% 15.12/2.87 | uri_owl_Restriction) & iext(uri_rdf_type, uri_foaf_Person,
% 15.12/2.87 | uri_owl_Class) & iext(uri_rdf_type, uri_ex_name,
% 15.12/2.87 | uri_ex_PersonAttribute)
% 15.12/2.87 |
% 15.12/2.87 | ALPHA: (16) implies:
% 15.12/2.87 | (17) iext(uri_rdf_type, uri_ex_name, uri_ex_PersonAttribute)
% 15.12/2.87 | (18) iext(uri_rdf_first, all_8_3, uri_owl_DatatypeProperty)
% 15.12/2.87 | (19) iext(uri_rdf_first, all_8_2, uri_owl_FunctionalProperty)
% 15.12/2.87 | (20) iext(uri_rdf_first, all_8_1, all_8_0)
% 15.12/2.87 | (21) iext(uri_rdf_rest, all_8_3, all_8_2)
% 15.12/2.87 | (22) iext(uri_rdf_rest, all_8_2, all_8_1)
% 15.12/2.87 | (23) iext(uri_rdf_rest, all_8_1, uri_rdf_nil)
% 15.12/2.87 | (24) iext(uri_owl_intersectionOf, uri_ex_PersonAttribute, all_8_3)
% 15.12/2.87 | (25) iext(uri_owl_hasValue, all_8_0, uri_foaf_Person)
% 15.12/2.87 | (26) iext(uri_owl_onProperty, all_8_0, uri_rdfs_domain)
% 15.12/2.87 | (27) iext(uri_ex_name, uri_ex_alice, all_8_4)
% 15.12/2.87 | (28) $i(all_8_4)
% 15.12/2.87 | (29) $i(all_8_3)
% 15.12/2.87 | (30) $i(all_8_2)
% 15.12/2.87 | (31) $i(all_8_1)
% 15.12/2.87 | (32) $i(all_8_0)
% 15.12/2.87 |
% 15.12/2.87 | GROUND_INST: instantiating (1) with uri_ex_name, uri_ex_PersonAttribute,
% 15.12/2.87 | simplifying with (8), (11), (17) gives:
% 15.12/2.87 | (33) icext(uri_ex_PersonAttribute, uri_ex_name)
% 15.12/2.87 |
% 15.12/2.88 | GROUND_INST: instantiating (5) with uri_ex_PersonAttribute, all_8_3,
% 15.12/2.88 | uri_owl_DatatypeProperty, all_8_2, uri_owl_FunctionalProperty,
% 15.12/2.88 | all_8_1, all_8_0, uri_ex_name, simplifying with (8), (9), (11),
% 15.12/2.88 | (12), (18), (19), (20), (21), (22), (23), (24), (29), (30), (31),
% 15.12/2.88 | (32), (33) gives:
% 15.12/2.88 | (34) icext(all_8_0, uri_ex_name)
% 15.12/2.88 |
% 15.12/2.88 | GROUND_INST: instantiating (4) with uri_ex_PersonAttribute, all_8_3,
% 15.12/2.88 | uri_owl_DatatypeProperty, all_8_2, uri_owl_FunctionalProperty,
% 15.12/2.88 | all_8_1, all_8_0, uri_ex_name, simplifying with (8), (9), (11),
% 15.12/2.88 | (12), (18), (19), (20), (21), (22), (23), (24), (29), (30), (31),
% 15.12/2.88 | (32), (33) gives:
% 15.12/2.88 | (35) icext(uri_owl_FunctionalProperty, uri_ex_name)
% 15.12/2.88 |
% 15.12/2.88 | GROUND_INST: instantiating (2) with uri_ex_name, uri_owl_FunctionalProperty,
% 15.12/2.88 | simplifying with (11), (12), (35) gives:
% 15.12/2.88 | (36) iext(uri_rdf_type, uri_ex_name, uri_owl_FunctionalProperty)
% 15.12/2.88 |
% 15.12/2.88 | GROUND_INST: instantiating (6) with all_8_0, uri_rdfs_domain, uri_foaf_Person,
% 15.12/2.88 | uri_ex_name, simplifying with (7), (11), (14), (25), (26), (32),
% 15.12/2.88 | (34) gives:
% 15.12/2.88 | (37) iext(uri_rdfs_domain, uri_ex_name, uri_foaf_Person)
% 15.12/2.88 |
% 15.12/2.88 | BETA: splitting (15) gives:
% 15.12/2.88 |
% 15.12/2.88 | Case 1:
% 15.12/2.88 | |
% 15.12/2.88 | | (38) ~ iext(uri_rdf_type, uri_ex_alice, uri_foaf_Person)
% 15.12/2.88 | |
% 15.12/2.88 | | GROUND_INST: instantiating (3) with uri_ex_name, uri_foaf_Person,
% 15.12/2.88 | | uri_ex_alice, all_8_4, simplifying with (11), (13), (14), (27),
% 15.12/2.88 | | (28), (37) gives:
% 15.12/2.88 | | (39) icext(uri_foaf_Person, uri_ex_alice)
% 15.12/2.88 | |
% 15.12/2.88 | | GROUND_INST: instantiating (2) with uri_ex_alice, uri_foaf_Person,
% 15.12/2.88 | | simplifying with (13), (14), (38), (39) gives:
% 15.12/2.88 | | (40) $false
% 15.12/2.88 | |
% 15.12/2.88 | | CLOSE: (40) is inconsistent.
% 15.12/2.88 | |
% 15.12/2.88 | Case 2:
% 15.12/2.88 | |
% 15.12/2.88 | | (41) ~ iext(uri_rdf_type, uri_ex_name, uri_owl_FunctionalProperty)
% 15.12/2.88 | |
% 15.12/2.88 | | PRED_UNIFY: (36), (41) imply:
% 15.12/2.88 | | (42) $false
% 15.12/2.88 | |
% 15.12/2.88 | | CLOSE: (42) is inconsistent.
% 15.12/2.88 | |
% 15.12/2.88 | End of split
% 15.12/2.88 |
% 15.12/2.88 End of proof
% 15.12/2.88 % SZS output end Proof for theBenchmark
% 15.12/2.88
% 15.12/2.88 2274ms
%------------------------------------------------------------------------------