TSTP Solution File: SWB022+2 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SWB022+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 : n032.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 20:11:48 EDT 2023
% Result : Theorem 12.57s 2.39s
% Output : Proof 14.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWB022+2 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.11 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Sun Aug 27 07:23:29 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.15/0.49 ________ _____
% 0.15/0.49 ___ __ \_________(_)________________________________
% 0.15/0.49 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.15/0.49 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.15/0.49 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.15/0.49
% 0.15/0.49 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.15/0.49 (2023-06-19)
% 0.15/0.49
% 0.15/0.49 (c) Philipp Rümmer, 2009-2023
% 0.15/0.49 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.15/0.49 Amanda Stjerna.
% 0.15/0.49 Free software under BSD-3-Clause.
% 0.15/0.49
% 0.15/0.49 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.15/0.49
% 0.15/0.49 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.15/0.50 Running up to 7 provers in parallel.
% 0.15/0.52 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.15/0.52 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.15/0.52 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.15/0.52 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.15/0.52 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.15/0.52 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.15/0.52 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 1.76/0.87 Prover 4: Preprocessing ...
% 1.76/0.87 Prover 1: Preprocessing ...
% 2.06/0.91 Prover 2: Preprocessing ...
% 2.06/0.91 Prover 6: Preprocessing ...
% 2.06/0.91 Prover 3: Preprocessing ...
% 2.06/0.91 Prover 0: Preprocessing ...
% 2.06/0.91 Prover 5: Preprocessing ...
% 3.27/1.08 Prover 2: Constructing countermodel ...
% 3.27/1.13 Prover 3: Constructing countermodel ...
% 3.27/1.13 Prover 5: Proving ...
% 3.79/1.16 Prover 6: Proving ...
% 3.79/1.18 Prover 1: Constructing countermodel ...
% 7.13/1.63 Prover 4: Constructing countermodel ...
% 7.56/1.75 Prover 0: Proving ...
% 10.47/2.11 Prover 3: gave up
% 10.47/2.11 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 10.47/2.14 Prover 7: Preprocessing ...
% 10.47/2.17 Prover 7: Constructing countermodel ...
% 12.57/2.39 Prover 2: proved (1877ms)
% 12.57/2.39
% 12.57/2.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.57/2.39
% 12.57/2.39 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 12.57/2.39 Prover 0: stopped
% 12.57/2.39 Prover 6: stopped
% 12.57/2.39 Prover 5: stopped
% 12.57/2.39 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 12.57/2.39 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 12.57/2.39 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 12.57/2.41 Prover 10: Preprocessing ...
% 12.57/2.42 Prover 13: Preprocessing ...
% 12.57/2.42 Prover 11: Preprocessing ...
% 13.13/2.44 Prover 8: Preprocessing ...
% 13.13/2.45 Prover 13: Constructing countermodel ...
% 13.13/2.45 Prover 10: Constructing countermodel ...
% 13.51/2.49 Prover 8: Warning: ignoring some quantifiers
% 13.51/2.50 Prover 8: Constructing countermodel ...
% 14.25/2.58 Prover 13: Found proof (size 19)
% 14.25/2.58 Prover 10: Found proof (size 19)
% 14.25/2.58 Prover 10: proved (191ms)
% 14.25/2.58 Prover 13: proved (191ms)
% 14.25/2.58 Prover 8: stopped
% 14.25/2.58 Prover 7: stopped
% 14.25/2.58 Prover 1: stopped
% 14.25/2.58 Prover 4: stopped
% 14.51/2.64 Prover 11: Constructing countermodel ...
% 14.65/2.65 Prover 11: stopped
% 14.65/2.65
% 14.65/2.65 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.65/2.65
% 14.65/2.65 % SZS output start Proof for theBenchmark
% 14.65/2.66 Assumptions after simplification:
% 14.65/2.66 ---------------------------------
% 14.65/2.66
% 14.65/2.66 (owl_chain_002)
% 14.65/2.68 $i(uri_owl_propertyChainAxiom) & $i(uri_rdf_nil) & $i(uri_rdf_rest) &
% 14.65/2.68 $i(uri_rdf_first) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : !
% 14.65/2.68 [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~ $i(v7) | ~ $i(v6) |
% 14.65/2.68 ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 14.65/2.68 iext(v4, v6, v7) | ~ iext(v2, v5, v6) | ~ iext(uri_owl_propertyChainAxiom,
% 14.65/2.68 v0, v1) | ~ iext(uri_rdf_rest, v3, uri_rdf_nil) | ~ iext(uri_rdf_rest,
% 14.65/2.68 v1, v3) | ~ iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2)
% 14.65/2.68 | iext(v0, v5, v7)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i]
% 14.65/2.68 : ! [v4: $i] : ( ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 14.65/2.68 ~ ip(v4) | ~ ip(v2) | ~ ip(v0) | ~ iext(uri_rdf_rest, v3, uri_rdf_nil) |
% 14.65/2.68 ~ iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v3, v4) | ~
% 14.65/2.68 iext(uri_rdf_first, v1, v2) | iext(uri_owl_propertyChainAxiom, v0, v1) | ?
% 14.65/2.68 [v5: $i] : ? [v6: $i] : ? [v7: $i] : ($i(v7) & $i(v6) & $i(v5) & iext(v4,
% 14.65/2.68 v6, v7) & iext(v2, v5, v6) & ~ iext(v0, v5, v7))) & ! [v0: $i] : !
% 14.65/2.68 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ $i(v4) | ~ $i(v3) |
% 14.65/2.68 ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ iext(uri_owl_propertyChainAxiom, v0,
% 14.65/2.68 v1) | ~ iext(uri_rdf_rest, v3, uri_rdf_nil) | ~ iext(uri_rdf_rest, v1,
% 14.65/2.68 v3) | ~ iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) |
% 14.65/2.68 ip(v4)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4:
% 14.65/2.68 $i] : ( ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 14.65/2.68 iext(uri_owl_propertyChainAxiom, v0, v1) | ~ iext(uri_rdf_rest, v3,
% 14.65/2.68 uri_rdf_nil) | ~ iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v3,
% 14.65/2.68 v4) | ~ iext(uri_rdf_first, v1, v2) | ip(v2)) & ! [v0: $i] : ! [v1: $i]
% 14.65/2.68 : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ $i(v4) | ~ $i(v3) | ~ $i(v2)
% 14.65/2.68 | ~ $i(v1) | ~ $i(v0) | ~ iext(uri_owl_propertyChainAxiom, v0, v1) | ~
% 14.65/2.68 iext(uri_rdf_rest, v3, uri_rdf_nil) | ~ iext(uri_rdf_rest, v1, v3) | ~
% 14.65/2.68 iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | ip(v0))
% 14.65/2.68
% 14.65/2.68 (rdfs_subpropertyof_main)
% 14.65/2.68 $i(uri_rdfs_subPropertyOf) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 14.65/2.68 $i] : ( ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ iext(v0, v2, v3) |
% 14.65/2.68 ~ iext(uri_rdfs_subPropertyOf, v0, v1) | iext(v1, v2, v3)) & ! [v0: $i] :
% 14.65/2.68 ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ iext(uri_rdfs_subPropertyOf, v0, v1)
% 14.65/2.68 | ip(v1)) & ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~
% 14.65/2.68 iext(uri_rdfs_subPropertyOf, v0, v1) | ip(v0))
% 14.65/2.68
% 14.65/2.68 (testcase_conclusion_fullish_022_List_Member_Access)
% 14.65/2.68 $i(uri_ex_Z) & $i(uri_ex_Y) & $i(uri_ex_X) & $i(uri_ex_MyOrderedCollection) &
% 14.65/2.68 $i(uri_skos_member) & ( ~ iext(uri_skos_member, uri_ex_MyOrderedCollection,
% 14.65/2.68 uri_ex_Z) | ~ iext(uri_skos_member, uri_ex_MyOrderedCollection, uri_ex_Y)
% 14.65/2.68 | ~ iext(uri_skos_member, uri_ex_MyOrderedCollection, uri_ex_X))
% 14.65/2.68
% 14.65/2.68 (testcase_premise_fullish_022_List_Member_Access)
% 14.65/2.69 $i(uri_skos_OrderedCollection) & $i(uri_rdf_type) & $i(uri_skos_memberList) &
% 14.65/2.69 $i(uri_ex_Z) & $i(uri_ex_Y) & $i(uri_ex_X) & $i(uri_ex_MyOrderedCollection) &
% 14.65/2.69 $i(uri_skos_member) & $i(uri_owl_propertyChainAxiom) & $i(uri_rdf_nil) &
% 14.65/2.69 $i(uri_rdf_rest) & $i(uri_rdf_first) & $i(uri_rdfs_subPropertyOf) & ? [v0:
% 14.65/2.69 $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] :
% 14.65/2.69 ? [v6: $i] : ? [v7: $i] : ($i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) &
% 14.65/2.69 $i(v2) & $i(v1) & $i(v0) & iext(uri_rdf_type, uri_ex_MyOrderedCollection,
% 14.65/2.69 uri_skos_OrderedCollection) & iext(uri_skos_memberList,
% 14.65/2.69 uri_ex_MyOrderedCollection, v5) & iext(uri_owl_propertyChainAxiom, v0, v3)
% 14.65/2.69 & iext(uri_owl_propertyChainAxiom, uri_skos_member, v1) & iext(uri_rdf_rest,
% 14.65/2.69 v7, uri_rdf_nil) & iext(uri_rdf_rest, v6, v7) & iext(uri_rdf_rest, v5, v6)
% 14.65/2.69 & iext(uri_rdf_rest, v4, uri_rdf_nil) & iext(uri_rdf_rest, v3, v4) &
% 14.65/2.69 iext(uri_rdf_rest, v2, uri_rdf_nil) & iext(uri_rdf_rest, v1, v2) &
% 14.65/2.69 iext(uri_rdf_first, v7, uri_ex_Z) & iext(uri_rdf_first, v6, uri_ex_Y) &
% 14.65/2.69 iext(uri_rdf_first, v5, uri_ex_X) & iext(uri_rdf_first, v4, uri_rdf_rest) &
% 14.65/2.69 iext(uri_rdf_first, v3, v0) & iext(uri_rdf_first, v2, uri_rdf_first) &
% 14.65/2.69 iext(uri_rdf_first, v1, v0) & iext(uri_rdfs_subPropertyOf,
% 14.65/2.69 uri_skos_memberList, v0))
% 14.65/2.69
% 14.65/2.69 Those formulas are unsatisfiable:
% 14.65/2.69 ---------------------------------
% 14.65/2.69
% 14.65/2.69 Begin of proof
% 14.65/2.69 |
% 14.65/2.69 | ALPHA: (testcase_conclusion_fullish_022_List_Member_Access) implies:
% 14.65/2.69 | (1) ~ iext(uri_skos_member, uri_ex_MyOrderedCollection, uri_ex_Z) | ~
% 14.65/2.69 | iext(uri_skos_member, uri_ex_MyOrderedCollection, uri_ex_Y) | ~
% 14.65/2.69 | iext(uri_skos_member, uri_ex_MyOrderedCollection, uri_ex_X)
% 14.65/2.69 |
% 14.65/2.69 | ALPHA: (testcase_premise_fullish_022_List_Member_Access) implies:
% 14.65/2.69 | (2) $i(uri_skos_member)
% 14.65/2.69 | (3) $i(uri_ex_MyOrderedCollection)
% 14.65/2.69 | (4) $i(uri_ex_X)
% 14.65/2.69 | (5) $i(uri_ex_Y)
% 14.65/2.69 | (6) $i(uri_ex_Z)
% 14.65/2.69 | (7) $i(uri_skos_memberList)
% 14.65/2.69 | (8) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 14.65/2.69 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ($i(v7) & $i(v6) & $i(v5) &
% 14.65/2.69 | $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & iext(uri_rdf_type,
% 14.65/2.69 | uri_ex_MyOrderedCollection, uri_skos_OrderedCollection) &
% 14.65/2.69 | iext(uri_skos_memberList, uri_ex_MyOrderedCollection, v5) &
% 14.65/2.69 | iext(uri_owl_propertyChainAxiom, v0, v3) &
% 14.65/2.69 | iext(uri_owl_propertyChainAxiom, uri_skos_member, v1) &
% 14.65/2.70 | iext(uri_rdf_rest, v7, uri_rdf_nil) & iext(uri_rdf_rest, v6, v7) &
% 14.65/2.70 | iext(uri_rdf_rest, v5, v6) & iext(uri_rdf_rest, v4, uri_rdf_nil) &
% 14.65/2.70 | iext(uri_rdf_rest, v3, v4) & iext(uri_rdf_rest, v2, uri_rdf_nil) &
% 14.65/2.70 | iext(uri_rdf_rest, v1, v2) & iext(uri_rdf_first, v7, uri_ex_Z) &
% 14.65/2.70 | iext(uri_rdf_first, v6, uri_ex_Y) & iext(uri_rdf_first, v5, uri_ex_X)
% 14.65/2.70 | & iext(uri_rdf_first, v4, uri_rdf_rest) & iext(uri_rdf_first, v3, v0)
% 14.65/2.70 | & iext(uri_rdf_first, v2, uri_rdf_first) & iext(uri_rdf_first, v1,
% 14.65/2.70 | v0) & iext(uri_rdfs_subPropertyOf, uri_skos_memberList, v0))
% 14.65/2.70 |
% 14.65/2.70 | ALPHA: (owl_chain_002) implies:
% 14.65/2.70 | (9) $i(uri_rdf_first)
% 14.65/2.70 | (10) $i(uri_rdf_rest)
% 14.65/2.70 | (11) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 14.65/2.70 | ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~ $i(v7) | ~ $i(v6) | ~
% 14.65/2.70 | $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 14.65/2.70 | ~ iext(v4, v6, v7) | ~ iext(v2, v5, v6) | ~
% 14.65/2.70 | iext(uri_owl_propertyChainAxiom, v0, v1) | ~ iext(uri_rdf_rest, v3,
% 14.65/2.70 | uri_rdf_nil) | ~ iext(uri_rdf_rest, v1, v3) | ~
% 14.65/2.70 | iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) |
% 14.65/2.70 | iext(v0, v5, v7))
% 14.65/2.70 |
% 14.65/2.70 | ALPHA: (rdfs_subpropertyof_main) implies:
% 14.65/2.70 | (12) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) |
% 14.65/2.70 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ iext(v0, v2, v3) | ~
% 14.65/2.70 | iext(uri_rdfs_subPropertyOf, v0, v1) | iext(v1, v2, v3))
% 14.65/2.70 |
% 14.65/2.70 | DELTA: instantiating (8) with fresh symbols all_5_0, all_5_1, all_5_2,
% 14.65/2.70 | all_5_3, all_5_4, all_5_5, all_5_6, all_5_7 gives:
% 14.65/2.70 | (13) $i(all_5_0) & $i(all_5_1) & $i(all_5_2) & $i(all_5_3) & $i(all_5_4) &
% 14.65/2.70 | $i(all_5_5) & $i(all_5_6) & $i(all_5_7) & iext(uri_rdf_type,
% 14.65/2.70 | uri_ex_MyOrderedCollection, uri_skos_OrderedCollection) &
% 14.65/2.70 | iext(uri_skos_memberList, uri_ex_MyOrderedCollection, all_5_2) &
% 14.65/2.70 | iext(uri_owl_propertyChainAxiom, all_5_7, all_5_4) &
% 14.65/2.70 | iext(uri_owl_propertyChainAxiom, uri_skos_member, all_5_6) &
% 14.65/2.70 | iext(uri_rdf_rest, all_5_0, uri_rdf_nil) & iext(uri_rdf_rest, all_5_1,
% 14.65/2.70 | all_5_0) & iext(uri_rdf_rest, all_5_2, all_5_1) & iext(uri_rdf_rest,
% 14.65/2.70 | all_5_3, uri_rdf_nil) & iext(uri_rdf_rest, all_5_4, all_5_3) &
% 14.65/2.70 | iext(uri_rdf_rest, all_5_5, uri_rdf_nil) & iext(uri_rdf_rest, all_5_6,
% 14.65/2.70 | all_5_5) & iext(uri_rdf_first, all_5_0, uri_ex_Z) &
% 14.65/2.70 | iext(uri_rdf_first, all_5_1, uri_ex_Y) & iext(uri_rdf_first, all_5_2,
% 14.65/2.70 | uri_ex_X) & iext(uri_rdf_first, all_5_3, uri_rdf_rest) &
% 14.65/2.70 | iext(uri_rdf_first, all_5_4, all_5_7) & iext(uri_rdf_first, all_5_5,
% 14.65/2.70 | uri_rdf_first) & iext(uri_rdf_first, all_5_6, all_5_7) &
% 14.65/2.70 | iext(uri_rdfs_subPropertyOf, uri_skos_memberList, all_5_7)
% 14.65/2.70 |
% 14.65/2.70 | ALPHA: (13) implies:
% 14.65/2.70 | (14) iext(uri_rdfs_subPropertyOf, uri_skos_memberList, all_5_7)
% 14.65/2.70 | (15) iext(uri_rdf_first, all_5_6, all_5_7)
% 14.65/2.70 | (16) iext(uri_rdf_first, all_5_5, uri_rdf_first)
% 14.65/2.71 | (17) iext(uri_rdf_first, all_5_4, all_5_7)
% 14.65/2.71 | (18) iext(uri_rdf_first, all_5_3, uri_rdf_rest)
% 14.65/2.71 | (19) iext(uri_rdf_first, all_5_2, uri_ex_X)
% 14.65/2.71 | (20) iext(uri_rdf_first, all_5_1, uri_ex_Y)
% 14.65/2.71 | (21) iext(uri_rdf_first, all_5_0, uri_ex_Z)
% 14.65/2.71 | (22) iext(uri_rdf_rest, all_5_6, all_5_5)
% 14.65/2.71 | (23) iext(uri_rdf_rest, all_5_5, uri_rdf_nil)
% 14.65/2.71 | (24) iext(uri_rdf_rest, all_5_4, all_5_3)
% 14.65/2.71 | (25) iext(uri_rdf_rest, all_5_3, uri_rdf_nil)
% 14.65/2.71 | (26) iext(uri_rdf_rest, all_5_2, all_5_1)
% 14.65/2.71 | (27) iext(uri_rdf_rest, all_5_1, all_5_0)
% 14.65/2.71 | (28) iext(uri_owl_propertyChainAxiom, uri_skos_member, all_5_6)
% 14.65/2.71 | (29) iext(uri_owl_propertyChainAxiom, all_5_7, all_5_4)
% 14.65/2.71 | (30) iext(uri_skos_memberList, uri_ex_MyOrderedCollection, all_5_2)
% 14.65/2.71 | (31) $i(all_5_7)
% 14.65/2.71 | (32) $i(all_5_6)
% 14.65/2.71 | (33) $i(all_5_5)
% 14.65/2.71 | (34) $i(all_5_4)
% 14.65/2.71 | (35) $i(all_5_3)
% 14.65/2.71 | (36) $i(all_5_2)
% 14.65/2.71 | (37) $i(all_5_1)
% 14.65/2.71 | (38) $i(all_5_0)
% 14.65/2.71 |
% 14.65/2.71 | GROUND_INST: instantiating (12) with uri_skos_memberList, all_5_7,
% 14.65/2.71 | uri_ex_MyOrderedCollection, all_5_2, simplifying with (3), (7),
% 14.65/2.71 | (14), (30), (31), (36) gives:
% 14.65/2.71 | (39) iext(all_5_7, uri_ex_MyOrderedCollection, all_5_2)
% 14.65/2.71 |
% 14.65/2.71 | GROUND_INST: instantiating (11) with all_5_7, all_5_4, all_5_7, all_5_3,
% 14.65/2.71 | uri_rdf_rest, uri_ex_MyOrderedCollection, all_5_2, all_5_1,
% 14.65/2.71 | simplifying with (3), (10), (17), (18), (24), (25), (26), (29),
% 14.65/2.71 | (31), (34), (35), (36), (37), (39) gives:
% 14.65/2.71 | (40) iext(all_5_7, uri_ex_MyOrderedCollection, all_5_1)
% 14.65/2.71 |
% 14.65/2.72 | GROUND_INST: instantiating (11) with uri_skos_member, all_5_6, all_5_7,
% 14.65/2.72 | all_5_5, uri_rdf_first, uri_ex_MyOrderedCollection, all_5_2,
% 14.65/2.72 | uri_ex_X, simplifying with (2), (3), (4), (9), (15), (16), (19),
% 14.65/2.72 | (22), (23), (28), (31), (32), (33), (36), (39) gives:
% 14.65/2.72 | (41) iext(uri_skos_member, uri_ex_MyOrderedCollection, uri_ex_X)
% 14.65/2.72 |
% 14.65/2.72 | GROUND_INST: instantiating (11) with all_5_7, all_5_4, all_5_7, all_5_3,
% 14.65/2.72 | uri_rdf_rest, uri_ex_MyOrderedCollection, all_5_1, all_5_0,
% 14.65/2.72 | simplifying with (3), (10), (17), (18), (24), (25), (27), (29),
% 14.65/2.72 | (31), (34), (35), (37), (38), (40) gives:
% 14.65/2.72 | (42) iext(all_5_7, uri_ex_MyOrderedCollection, all_5_0)
% 14.65/2.72 |
% 14.65/2.72 | GROUND_INST: instantiating (11) with uri_skos_member, all_5_6, all_5_7,
% 14.65/2.72 | all_5_5, uri_rdf_first, uri_ex_MyOrderedCollection, all_5_1,
% 14.65/2.72 | uri_ex_Y, simplifying with (2), (3), (5), (9), (15), (16), (20),
% 14.65/2.72 | (22), (23), (28), (31), (32), (33), (37), (40) gives:
% 14.65/2.72 | (43) iext(uri_skos_member, uri_ex_MyOrderedCollection, uri_ex_Y)
% 14.65/2.72 |
% 14.65/2.72 | BETA: splitting (1) gives:
% 14.65/2.72 |
% 14.65/2.72 | Case 1:
% 14.65/2.72 | |
% 14.65/2.72 | | (44) ~ iext(uri_skos_member, uri_ex_MyOrderedCollection, uri_ex_Z)
% 14.65/2.72 | |
% 14.65/2.72 | | GROUND_INST: instantiating (11) with uri_skos_member, all_5_6, all_5_7,
% 14.65/2.72 | | all_5_5, uri_rdf_first, uri_ex_MyOrderedCollection, all_5_0,
% 14.65/2.72 | | uri_ex_Z, simplifying with (2), (3), (6), (9), (15), (16),
% 14.65/2.72 | | (21), (22), (23), (28), (31), (32), (33), (38), (42), (44)
% 14.65/2.72 | | gives:
% 14.65/2.72 | | (45) $false
% 14.65/2.72 | |
% 14.65/2.72 | | CLOSE: (45) is inconsistent.
% 14.65/2.72 | |
% 14.65/2.72 | Case 2:
% 14.65/2.72 | |
% 14.65/2.72 | | (46) ~ iext(uri_skos_member, uri_ex_MyOrderedCollection, uri_ex_Y) | ~
% 14.65/2.72 | | iext(uri_skos_member, uri_ex_MyOrderedCollection, uri_ex_X)
% 14.65/2.72 | |
% 14.65/2.72 | | BETA: splitting (46) gives:
% 14.65/2.72 | |
% 14.65/2.72 | | Case 1:
% 14.65/2.72 | | |
% 14.65/2.73 | | | (47) ~ iext(uri_skos_member, uri_ex_MyOrderedCollection, uri_ex_Y)
% 14.65/2.73 | | |
% 14.65/2.73 | | | PRED_UNIFY: (43), (47) imply:
% 14.65/2.73 | | | (48) $false
% 14.65/2.73 | | |
% 14.65/2.73 | | | CLOSE: (48) is inconsistent.
% 14.65/2.73 | | |
% 14.65/2.73 | | Case 2:
% 14.65/2.73 | | |
% 14.65/2.73 | | | (49) ~ iext(uri_skos_member, uri_ex_MyOrderedCollection, uri_ex_X)
% 14.65/2.73 | | |
% 14.65/2.73 | | | PRED_UNIFY: (41), (49) imply:
% 14.65/2.73 | | | (50) $false
% 14.65/2.73 | | |
% 14.65/2.73 | | | CLOSE: (50) is inconsistent.
% 14.65/2.73 | | |
% 14.65/2.73 | | End of split
% 14.65/2.73 | |
% 14.65/2.73 | End of split
% 14.65/2.73 |
% 14.65/2.73 End of proof
% 14.65/2.73 % SZS output end Proof for theBenchmark
% 14.65/2.73
% 14.65/2.73 2234ms
%------------------------------------------------------------------------------