TSTP Solution File: SWB005+2 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SWB005+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 : n009.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 20:11:35 EDT 2023
% Result : Theorem 7.75s 1.88s
% Output : Proof 11.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWB005+2 : TPTP v8.1.2. Released v5.2.0.
% 0.06/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Aug 27 06:43:50 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.64/0.62 ________ _____
% 0.64/0.62 ___ __ \_________(_)________________________________
% 0.64/0.62 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.64/0.62 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.64/0.62 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.64/0.62
% 0.64/0.62 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.64/0.62 (2023-06-19)
% 0.64/0.62
% 0.64/0.62 (c) Philipp Rümmer, 2009-2023
% 0.64/0.62 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.64/0.62 Amanda Stjerna.
% 0.64/0.62 Free software under BSD-3-Clause.
% 0.64/0.62
% 0.64/0.62 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.64/0.62
% 0.69/0.62 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.70/0.64 Running up to 7 provers in parallel.
% 0.70/0.66 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.70/0.66 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.70/0.66 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.70/0.66 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.70/0.66 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.70/0.66 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.70/0.66 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.13/1.10 Prover 1: Preprocessing ...
% 2.13/1.10 Prover 4: Preprocessing ...
% 2.13/1.16 Prover 2: Preprocessing ...
% 2.13/1.16 Prover 0: Preprocessing ...
% 2.13/1.16 Prover 6: Preprocessing ...
% 2.13/1.16 Prover 3: Preprocessing ...
% 2.13/1.16 Prover 5: Preprocessing ...
% 3.92/1.36 Prover 2: Proving ...
% 3.92/1.36 Prover 5: Proving ...
% 4.32/1.42 Prover 3: Constructing countermodel ...
% 4.32/1.42 Prover 6: Constructing countermodel ...
% 4.32/1.44 Prover 1: Constructing countermodel ...
% 4.80/1.46 Prover 4: Constructing countermodel ...
% 4.88/1.50 Prover 0: Proving ...
% 7.75/1.88 Prover 6: proved (1217ms)
% 7.75/1.88
% 7.75/1.88 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.75/1.88
% 7.75/1.88 Prover 3: stopped
% 7.75/1.88 Prover 5: proved (1226ms)
% 7.75/1.88
% 7.75/1.88 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.75/1.88
% 7.75/1.88 Prover 2: proved (1230ms)
% 7.75/1.88
% 7.75/1.88 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.75/1.88
% 7.75/1.88 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 7.75/1.88 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 7.75/1.88 Prover 0: stopped
% 7.75/1.89 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 7.75/1.89 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 7.75/1.89 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 8.18/1.91 Prover 8: Preprocessing ...
% 8.18/1.92 Prover 7: Preprocessing ...
% 8.18/1.92 Prover 11: Preprocessing ...
% 8.18/1.93 Prover 13: Preprocessing ...
% 8.18/1.93 Prover 10: Preprocessing ...
% 8.18/1.95 Prover 7: Warning: ignoring some quantifiers
% 8.18/1.95 Prover 7: Constructing countermodel ...
% 8.61/1.96 Prover 10: Warning: ignoring some quantifiers
% 8.61/1.96 Prover 10: Constructing countermodel ...
% 8.61/1.97 Prover 13: Warning: ignoring some quantifiers
% 8.61/1.97 Prover 13: Constructing countermodel ...
% 8.61/1.99 Prover 8: Warning: ignoring some quantifiers
% 8.61/1.99 Prover 8: Constructing countermodel ...
% 8.61/2.04 Prover 10: gave up
% 8.61/2.05 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 9.35/2.05 Prover 13: gave up
% 9.35/2.06 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 9.35/2.07 Prover 11: Constructing countermodel ...
% 9.35/2.07 Prover 19: Preprocessing ...
% 9.35/2.08 Prover 16: Preprocessing ...
% 9.66/2.11 Prover 16: Warning: ignoring some quantifiers
% 9.66/2.11 Prover 16: Constructing countermodel ...
% 10.05/2.16 Prover 4: Found proof (size 128)
% 10.05/2.16 Prover 4: proved (1510ms)
% 10.05/2.16 Prover 7: stopped
% 10.05/2.16 Prover 8: stopped
% 10.05/2.16 Prover 11: stopped
% 10.05/2.16 Prover 1: stopped
% 10.05/2.16 Prover 16: stopped
% 10.05/2.18 Prover 19: Warning: ignoring some quantifiers
% 10.05/2.19 Prover 19: Constructing countermodel ...
% 10.05/2.19 Prover 19: stopped
% 10.05/2.19
% 10.05/2.19 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.05/2.19
% 10.40/2.22 % SZS output start Proof for theBenchmark
% 10.40/2.22 Assumptions after simplification:
% 10.40/2.22 ---------------------------------
% 10.40/2.22
% 10.40/2.22 (owl_class_objectproperty_ext)
% 10.40/2.27 $i(uri_owl_ObjectProperty) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~
% 10.40/2.27 (icext(uri_owl_ObjectProperty, v0) = v1) | ~ $i(v0) | ? [v2: int] : ( ~
% 10.40/2.27 (v2 = 0) & ip(v0) = v2)) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~
% 10.40/2.27 (ip(v0) = v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) &
% 10.40/2.27 icext(uri_owl_ObjectProperty, v0) = v2)) & ! [v0: $i] : ( ~
% 10.40/2.27 (icext(uri_owl_ObjectProperty, v0) = 0) | ~ $i(v0) | ip(v0) = 0) & ! [v0:
% 10.40/2.27 $i] : ( ~ (ip(v0) = 0) | ~ $i(v0) | icext(uri_owl_ObjectProperty, v0) = 0)
% 10.40/2.27
% 10.40/2.27 (owl_class_thing_ext)
% 10.73/2.27 $i(uri_owl_Thing) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~
% 10.73/2.27 (icext(uri_owl_Thing, v0) = v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) &
% 10.73/2.27 ir(v0) = v2)) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (ir(v0) = v1) |
% 10.73/2.27 ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & icext(uri_owl_Thing, v0) = v2)) &
% 10.73/2.27 ! [v0: $i] : ( ~ (icext(uri_owl_Thing, v0) = 0) | ~ $i(v0) | ir(v0) = 0) & !
% 10.73/2.27 [v0: $i] : ( ~ (ir(v0) = 0) | ~ $i(v0) | icext(uri_owl_Thing, v0) = 0)
% 10.73/2.27
% 10.73/2.27 (rdf_type_ip)
% 10.73/2.28 $i(uri_rdf_Property) & $i(uri_rdf_type) & ! [v0: $i] : ! [v1: int] : (v1 = 0
% 10.73/2.28 | ~ (iext(uri_rdf_type, v0, uri_rdf_Property) = v1) | ~ $i(v0) | ? [v2:
% 10.73/2.28 int] : ( ~ (v2 = 0) & ip(v0) = v2)) & ! [v0: $i] : ! [v1: int] : (v1 = 0
% 10.73/2.28 | ~ (ip(v0) = v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) &
% 10.73/2.28 iext(uri_rdf_type, v0, uri_rdf_Property) = v2)) & ! [v0: $i] : ( ~
% 10.73/2.28 (iext(uri_rdf_type, v0, uri_rdf_Property) = 0) | ~ $i(v0) | ip(v0) = 0) &
% 10.73/2.28 ! [v0: $i] : ( ~ (ip(v0) = 0) | ~ $i(v0) | iext(uri_rdf_type, v0,
% 10.73/2.28 uri_rdf_Property) = 0)
% 10.73/2.28
% 10.73/2.28 (rdfs_cext_def)
% 10.73/2.29 $i(uri_rdf_type) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~
% 10.73/2.29 (icext(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0) &
% 10.73/2.29 iext(uri_rdf_type, v0, v1) = v3)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 10.73/2.29 int] : (v2 = 0 | ~ (iext(uri_rdf_type, v0, v1) = v2) | ~ $i(v1) | ~
% 10.73/2.29 $i(v0) | ? [v3: int] : ( ~ (v3 = 0) & icext(v1, v0) = v3)) & ! [v0: $i] :
% 10.73/2.29 ! [v1: $i] : ( ~ (icext(v1, v0) = 0) | ~ $i(v1) | ~ $i(v0) |
% 10.73/2.29 iext(uri_rdf_type, v0, v1) = 0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 10.73/2.29 (iext(uri_rdf_type, v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | icext(v1, v0) =
% 10.73/2.29 0)
% 10.73/2.29
% 10.73/2.29 (rdfs_ir_def)
% 10.73/2.29 $i(uri_rdfs_Resource) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~
% 10.73/2.29 (icext(uri_rdfs_Resource, v0) = v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 =
% 10.73/2.29 0) & ir(v0) = v2)) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (ir(v0) =
% 10.73/2.29 v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & icext(uri_rdfs_Resource,
% 10.73/2.29 v0) = v2)) & ! [v0: $i] : ( ~ (icext(uri_rdfs_Resource, v0) = 0) | ~
% 10.73/2.29 $i(v0) | ir(v0) = 0) & ! [v0: $i] : ( ~ (ir(v0) = 0) | ~ $i(v0) |
% 10.73/2.29 icext(uri_rdfs_Resource, v0) = 0)
% 10.73/2.29
% 10.73/2.29 (simple_iext_property)
% 10.73/2.30 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (iext(v1, v0, v2) = 0) | ~
% 10.73/2.30 $i(v2) | ~ $i(v1) | ~ $i(v0) | ip(v1) = 0)
% 10.73/2.30
% 10.73/2.30 (simple_ir)
% 10.73/2.30 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (ir(v0) = v1) | ~ $i(v0))
% 10.73/2.30
% 10.73/2.30 (testcase_conclusion_fullish_005_Everything_is_a_Resource)
% 10.73/2.30 $i(uri_ex_o) & $i(uri_ex_p) & $i(uri_ex_s) & $i(uri_owl_ObjectProperty) &
% 10.73/2.30 $i(uri_owl_Thing) & $i(uri_rdfs_Resource) & $i(uri_rdf_Property) &
% 10.73/2.30 $i(uri_rdf_type) & ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 10.73/2.30 ? [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] :
% 10.73/2.30 (iext(uri_rdf_type, uri_ex_o, uri_owl_Thing) = v7 & iext(uri_rdf_type,
% 10.73/2.30 uri_ex_o, uri_rdfs_Resource) = v6 & iext(uri_rdf_type, uri_ex_p,
% 10.73/2.30 uri_owl_ObjectProperty) = v5 & iext(uri_rdf_type, uri_ex_p, uri_owl_Thing)
% 10.73/2.30 = v3 & iext(uri_rdf_type, uri_ex_p, uri_rdfs_Resource) = v2 &
% 10.73/2.30 iext(uri_rdf_type, uri_ex_p, uri_rdf_Property) = v4 & iext(uri_rdf_type,
% 10.73/2.30 uri_ex_s, uri_owl_Thing) = v1 & iext(uri_rdf_type, uri_ex_s,
% 10.73/2.30 uri_rdfs_Resource) = v0 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~
% 10.73/2.30 (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 10.73/2.30
% 10.73/2.30 (testcase_premise_fullish_005_Everything_is_a_Resource)
% 10.73/2.30 iext(uri_ex_p, uri_ex_s, uri_ex_o) = 0 & $i(uri_ex_o) & $i(uri_ex_p) &
% 10.73/2.30 $i(uri_ex_s)
% 10.73/2.30
% 10.73/2.30 (function-axioms)
% 10.73/2.31 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 10.73/2.31 [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (iext(v4, v3, v2) = v1) | ~ (iext(v4,
% 10.73/2.31 v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool]
% 10.73/2.31 : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (icext(v3, v2) = v1) | ~
% 10.73/2.31 (icext(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 10.73/2.31 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (ip(v2) = v1) | ~ (ip(v2)
% 10.73/2.31 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 10.73/2.31 $i] : (v1 = v0 | ~ (ir(v2) = v1) | ~ (ir(v2) = v0))
% 10.73/2.31
% 10.73/2.31 Those formulas are unsatisfiable:
% 10.73/2.31 ---------------------------------
% 10.73/2.31
% 10.73/2.31 Begin of proof
% 10.73/2.31 |
% 10.73/2.31 | ALPHA: (rdf_type_ip) implies:
% 10.73/2.31 | (1) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (iext(uri_rdf_type, v0,
% 10.73/2.31 | uri_rdf_Property) = v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0)
% 10.73/2.31 | & ip(v0) = v2))
% 10.73/2.31 |
% 10.73/2.31 | ALPHA: (rdfs_cext_def) implies:
% 10.73/2.31 | (2) ! [v0: $i] : ! [v1: $i] : ( ~ (iext(uri_rdf_type, v0, v1) = 0) | ~
% 10.73/2.31 | $i(v1) | ~ $i(v0) | icext(v1, v0) = 0)
% 10.73/2.32 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~
% 10.73/2.32 | (iext(uri_rdf_type, v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3:
% 10.73/2.32 | int] : ( ~ (v3 = 0) & icext(v1, v0) = v3))
% 10.73/2.32 |
% 10.73/2.32 | ALPHA: (rdfs_ir_def) implies:
% 10.73/2.32 | (4) ! [v0: $i] : ( ~ (ir(v0) = 0) | ~ $i(v0) | icext(uri_rdfs_Resource,
% 10.73/2.32 | v0) = 0)
% 10.73/2.32 | (5) ! [v0: $i] : ( ~ (icext(uri_rdfs_Resource, v0) = 0) | ~ $i(v0) |
% 10.73/2.32 | ir(v0) = 0)
% 10.73/2.32 | (6) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (icext(uri_rdfs_Resource, v0)
% 10.73/2.32 | = v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & ir(v0) = v2))
% 10.73/2.32 |
% 10.73/2.32 | ALPHA: (owl_class_thing_ext) implies:
% 10.73/2.32 | (7) ! [v0: $i] : ( ~ (ir(v0) = 0) | ~ $i(v0) | icext(uri_owl_Thing, v0) =
% 10.73/2.32 | 0)
% 10.73/2.32 | (8) ! [v0: $i] : ( ~ (icext(uri_owl_Thing, v0) = 0) | ~ $i(v0) | ir(v0) =
% 10.73/2.32 | 0)
% 10.73/2.32 | (9) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (icext(uri_owl_Thing, v0) =
% 10.73/2.32 | v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & ir(v0) = v2))
% 10.73/2.32 |
% 10.73/2.32 | ALPHA: (owl_class_objectproperty_ext) implies:
% 10.73/2.32 | (10) ! [v0: $i] : ( ~ (ip(v0) = 0) | ~ $i(v0) |
% 10.73/2.32 | icext(uri_owl_ObjectProperty, v0) = 0)
% 10.73/2.32 |
% 10.73/2.32 | ALPHA: (testcase_premise_fullish_005_Everything_is_a_Resource) implies:
% 10.73/2.32 | (11) iext(uri_ex_p, uri_ex_s, uri_ex_o) = 0
% 10.73/2.32 |
% 10.73/2.32 | ALPHA: (testcase_conclusion_fullish_005_Everything_is_a_Resource) implies:
% 10.73/2.32 | (12) $i(uri_rdfs_Resource)
% 10.73/2.33 | (13) $i(uri_owl_Thing)
% 10.73/2.33 | (14) $i(uri_owl_ObjectProperty)
% 10.73/2.33 | (15) $i(uri_ex_s)
% 10.73/2.33 | (16) $i(uri_ex_p)
% 10.73/2.33 | (17) $i(uri_ex_o)
% 10.73/2.33 | (18) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? [v4:
% 10.73/2.33 | any] : ? [v5: any] : ? [v6: any] : ? [v7: any] :
% 10.73/2.33 | (iext(uri_rdf_type, uri_ex_o, uri_owl_Thing) = v7 & iext(uri_rdf_type,
% 10.73/2.33 | uri_ex_o, uri_rdfs_Resource) = v6 & iext(uri_rdf_type, uri_ex_p,
% 10.73/2.33 | uri_owl_ObjectProperty) = v5 & iext(uri_rdf_type, uri_ex_p,
% 10.73/2.33 | uri_owl_Thing) = v3 & iext(uri_rdf_type, uri_ex_p,
% 10.73/2.33 | uri_rdfs_Resource) = v2 & iext(uri_rdf_type, uri_ex_p,
% 10.73/2.33 | uri_rdf_Property) = v4 & iext(uri_rdf_type, uri_ex_s,
% 10.73/2.33 | uri_owl_Thing) = v1 & iext(uri_rdf_type, uri_ex_s,
% 10.73/2.33 | uri_rdfs_Resource) = v0 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0)
% 10.73/2.33 | | ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 =
% 10.73/2.33 | 0)))
% 10.73/2.33 |
% 10.73/2.33 | ALPHA: (function-axioms) implies:
% 10.73/2.33 | (19) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 10.73/2.33 | : (v1 = v0 | ~ (ip(v2) = v1) | ~ (ip(v2) = v0))
% 10.73/2.33 | (20) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 10.73/2.33 | : ! [v3: $i] : (v1 = v0 | ~ (icext(v3, v2) = v1) | ~ (icext(v3, v2)
% 10.73/2.33 | = v0))
% 10.73/2.33 |
% 10.73/2.33 | DELTA: instantiating (18) with fresh symbols all_11_0, all_11_1, all_11_2,
% 10.73/2.33 | all_11_3, all_11_4, all_11_5, all_11_6, all_11_7 gives:
% 10.73/2.33 | (21) iext(uri_rdf_type, uri_ex_o, uri_owl_Thing) = all_11_0 &
% 10.73/2.33 | iext(uri_rdf_type, uri_ex_o, uri_rdfs_Resource) = all_11_1 &
% 10.73/2.33 | iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) = all_11_2 &
% 10.73/2.33 | iext(uri_rdf_type, uri_ex_p, uri_owl_Thing) = all_11_4 &
% 10.73/2.33 | iext(uri_rdf_type, uri_ex_p, uri_rdfs_Resource) = all_11_5 &
% 10.73/2.33 | iext(uri_rdf_type, uri_ex_p, uri_rdf_Property) = all_11_3 &
% 10.73/2.33 | iext(uri_rdf_type, uri_ex_s, uri_owl_Thing) = all_11_6 &
% 10.73/2.33 | iext(uri_rdf_type, uri_ex_s, uri_rdfs_Resource) = all_11_7 & ( ~
% 10.73/2.33 | (all_11_0 = 0) | ~ (all_11_1 = 0) | ~ (all_11_2 = 0) | ~
% 10.73/2.33 | (all_11_3 = 0) | ~ (all_11_4 = 0) | ~ (all_11_5 = 0) | ~
% 10.73/2.33 | (all_11_6 = 0) | ~ (all_11_7 = 0))
% 10.73/2.33 |
% 10.73/2.33 | ALPHA: (21) implies:
% 10.73/2.34 | (22) iext(uri_rdf_type, uri_ex_s, uri_rdfs_Resource) = all_11_7
% 10.73/2.34 | (23) iext(uri_rdf_type, uri_ex_s, uri_owl_Thing) = all_11_6
% 10.73/2.34 | (24) iext(uri_rdf_type, uri_ex_p, uri_rdf_Property) = all_11_3
% 10.73/2.34 | (25) iext(uri_rdf_type, uri_ex_p, uri_rdfs_Resource) = all_11_5
% 10.73/2.34 | (26) iext(uri_rdf_type, uri_ex_p, uri_owl_Thing) = all_11_4
% 10.73/2.34 | (27) iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) = all_11_2
% 10.73/2.34 | (28) iext(uri_rdf_type, uri_ex_o, uri_rdfs_Resource) = all_11_1
% 10.73/2.34 | (29) iext(uri_rdf_type, uri_ex_o, uri_owl_Thing) = all_11_0
% 10.73/2.34 | (30) ~ (all_11_0 = 0) | ~ (all_11_1 = 0) | ~ (all_11_2 = 0) | ~
% 10.73/2.34 | (all_11_3 = 0) | ~ (all_11_4 = 0) | ~ (all_11_5 = 0) | ~ (all_11_6
% 10.73/2.34 | = 0) | ~ (all_11_7 = 0)
% 10.73/2.34 |
% 10.73/2.34 | GROUND_INST: instantiating (3) with uri_ex_s, uri_rdfs_Resource, all_11_7,
% 10.73/2.34 | simplifying with (12), (15), (22) gives:
% 10.73/2.34 | (31) all_11_7 = 0 | ? [v0: int] : ( ~ (v0 = 0) & icext(uri_rdfs_Resource,
% 10.73/2.34 | uri_ex_s) = v0)
% 10.73/2.34 |
% 10.73/2.34 | GROUND_INST: instantiating (3) with uri_ex_s, uri_owl_Thing, all_11_6,
% 10.73/2.34 | simplifying with (13), (15), (23) gives:
% 10.73/2.34 | (32) all_11_6 = 0 | ? [v0: int] : ( ~ (v0 = 0) & icext(uri_owl_Thing,
% 10.73/2.34 | uri_ex_s) = v0)
% 10.73/2.34 |
% 10.73/2.34 | GROUND_INST: instantiating (1) with uri_ex_p, all_11_3, simplifying with (16),
% 10.73/2.34 | (24) gives:
% 10.73/2.34 | (33) all_11_3 = 0 | ? [v0: int] : ( ~ (v0 = 0) & ip(uri_ex_p) = v0)
% 10.73/2.34 |
% 10.73/2.34 | GROUND_INST: instantiating (3) with uri_ex_p, uri_rdfs_Resource, all_11_5,
% 10.73/2.34 | simplifying with (12), (16), (25) gives:
% 10.73/2.34 | (34) all_11_5 = 0 | ? [v0: int] : ( ~ (v0 = 0) & icext(uri_rdfs_Resource,
% 10.73/2.34 | uri_ex_p) = v0)
% 10.73/2.34 |
% 10.73/2.34 | GROUND_INST: instantiating (3) with uri_ex_p, uri_owl_Thing, all_11_4,
% 10.73/2.34 | simplifying with (13), (16), (26) gives:
% 10.73/2.34 | (35) all_11_4 = 0 | ? [v0: int] : ( ~ (v0 = 0) & icext(uri_owl_Thing,
% 10.73/2.34 | uri_ex_p) = v0)
% 10.73/2.34 |
% 10.73/2.34 | GROUND_INST: instantiating (3) with uri_ex_p, uri_owl_ObjectProperty,
% 10.73/2.34 | all_11_2, simplifying with (14), (16), (27) gives:
% 10.73/2.35 | (36) all_11_2 = 0 | ? [v0: int] : ( ~ (v0 = 0) &
% 10.73/2.35 | icext(uri_owl_ObjectProperty, uri_ex_p) = v0)
% 10.73/2.35 |
% 10.73/2.35 | GROUND_INST: instantiating (3) with uri_ex_o, uri_rdfs_Resource, all_11_1,
% 10.73/2.35 | simplifying with (12), (17), (28) gives:
% 10.73/2.35 | (37) all_11_1 = 0 | ? [v0: int] : ( ~ (v0 = 0) & icext(uri_rdfs_Resource,
% 10.73/2.35 | uri_ex_o) = v0)
% 10.73/2.35 |
% 10.73/2.35 | GROUND_INST: instantiating (3) with uri_ex_o, uri_owl_Thing, all_11_0,
% 10.73/2.35 | simplifying with (13), (17), (29) gives:
% 10.73/2.35 | (38) all_11_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) & icext(uri_owl_Thing,
% 10.73/2.35 | uri_ex_o) = v0)
% 10.73/2.35 |
% 10.73/2.35 | GROUND_INST: instantiating (simple_iext_property) with uri_ex_s, uri_ex_p,
% 10.73/2.35 | uri_ex_o, simplifying with (11), (15), (16), (17) gives:
% 10.73/2.35 | (39) ip(uri_ex_p) = 0
% 10.73/2.35 |
% 10.73/2.35 | BETA: splitting (33) gives:
% 10.73/2.35 |
% 10.73/2.35 | Case 1:
% 10.73/2.35 | |
% 10.73/2.35 | | (40) all_11_3 = 0
% 10.73/2.35 | |
% 10.73/2.35 | | GROUND_INST: instantiating (10) with uri_ex_p, simplifying with (16), (39)
% 10.73/2.35 | | gives:
% 10.73/2.35 | | (41) icext(uri_owl_ObjectProperty, uri_ex_p) = 0
% 10.73/2.35 | |
% 10.73/2.35 | | BETA: splitting (36) gives:
% 10.73/2.35 | |
% 10.73/2.35 | | Case 1:
% 10.73/2.35 | | |
% 10.73/2.35 | | | (42) all_11_2 = 0
% 10.73/2.35 | | |
% 10.73/2.35 | | | BETA: splitting (31) gives:
% 10.73/2.35 | | |
% 10.73/2.35 | | | Case 1:
% 10.73/2.35 | | | |
% 10.73/2.35 | | | | (43) all_11_7 = 0
% 10.73/2.35 | | | |
% 10.73/2.35 | | | | REDUCE: (22), (43) imply:
% 10.73/2.35 | | | | (44) iext(uri_rdf_type, uri_ex_s, uri_rdfs_Resource) = 0
% 10.73/2.35 | | | |
% 10.73/2.35 | | | | GROUND_INST: instantiating (2) with uri_ex_s, uri_rdfs_Resource,
% 10.73/2.35 | | | | simplifying with (12), (15), (44) gives:
% 10.73/2.35 | | | | (45) icext(uri_rdfs_Resource, uri_ex_s) = 0
% 10.73/2.35 | | | |
% 10.73/2.35 | | | | GROUND_INST: instantiating (5) with uri_ex_s, simplifying with (15),
% 10.73/2.35 | | | | (45) gives:
% 10.73/2.35 | | | | (46) ir(uri_ex_s) = 0
% 10.73/2.35 | | | |
% 10.73/2.35 | | | | GROUND_INST: instantiating (7) with uri_ex_s, simplifying with (15),
% 10.73/2.35 | | | | (46) gives:
% 10.73/2.35 | | | | (47) icext(uri_owl_Thing, uri_ex_s) = 0
% 10.73/2.35 | | | |
% 10.73/2.35 | | | | BETA: splitting (32) gives:
% 10.73/2.35 | | | |
% 10.73/2.35 | | | | Case 1:
% 10.73/2.35 | | | | |
% 10.73/2.35 | | | | | (48) all_11_6 = 0
% 10.73/2.35 | | | | |
% 10.73/2.35 | | | | | BETA: splitting (38) gives:
% 10.73/2.35 | | | | |
% 10.73/2.35 | | | | | Case 1:
% 10.73/2.35 | | | | | |
% 10.73/2.35 | | | | | | (49) all_11_0 = 0
% 10.73/2.35 | | | | | |
% 10.73/2.35 | | | | | | REDUCE: (29), (49) imply:
% 10.73/2.35 | | | | | | (50) iext(uri_rdf_type, uri_ex_o, uri_owl_Thing) = 0
% 10.73/2.36 | | | | | |
% 10.73/2.36 | | | | | | GROUND_INST: instantiating (2) with uri_ex_o, uri_owl_Thing,
% 10.73/2.36 | | | | | | simplifying with (13), (17), (50) gives:
% 10.73/2.36 | | | | | | (51) icext(uri_owl_Thing, uri_ex_o) = 0
% 10.73/2.36 | | | | | |
% 10.73/2.36 | | | | | | GROUND_INST: instantiating (8) with uri_ex_o, simplifying with (17),
% 10.73/2.36 | | | | | | (51) gives:
% 10.73/2.36 | | | | | | (52) ir(uri_ex_o) = 0
% 10.73/2.36 | | | | | |
% 10.73/2.36 | | | | | | GROUND_INST: instantiating (4) with uri_ex_o, simplifying with (17),
% 10.73/2.36 | | | | | | (52) gives:
% 10.73/2.36 | | | | | | (53) icext(uri_rdfs_Resource, uri_ex_o) = 0
% 10.73/2.36 | | | | | |
% 10.73/2.36 | | | | | | BETA: splitting (37) gives:
% 10.73/2.36 | | | | | |
% 10.73/2.36 | | | | | | Case 1:
% 10.73/2.36 | | | | | | |
% 10.73/2.36 | | | | | | | (54) all_11_1 = 0
% 10.73/2.36 | | | | | | |
% 10.73/2.36 | | | | | | | BETA: splitting (35) gives:
% 10.73/2.36 | | | | | | |
% 10.73/2.36 | | | | | | | Case 1:
% 10.73/2.36 | | | | | | | |
% 10.73/2.36 | | | | | | | | (55) all_11_4 = 0
% 10.73/2.36 | | | | | | | |
% 10.73/2.36 | | | | | | | | BETA: splitting (30) gives:
% 10.73/2.36 | | | | | | | |
% 10.73/2.36 | | | | | | | | Case 1:
% 10.73/2.36 | | | | | | | | |
% 10.73/2.36 | | | | | | | | | (56) ~ (all_11_0 = 0)
% 10.73/2.36 | | | | | | | | |
% 10.73/2.36 | | | | | | | | | REDUCE: (49), (56) imply:
% 10.73/2.36 | | | | | | | | | (57) $false
% 10.73/2.36 | | | | | | | | |
% 10.73/2.36 | | | | | | | | | CLOSE: (57) is inconsistent.
% 10.73/2.36 | | | | | | | | |
% 10.73/2.36 | | | | | | | | Case 2:
% 10.73/2.36 | | | | | | | | |
% 10.73/2.36 | | | | | | | | | (58) ~ (all_11_1 = 0) | ~ (all_11_2 = 0) | ~ (all_11_3 =
% 10.73/2.36 | | | | | | | | | 0) | ~ (all_11_4 = 0) | ~ (all_11_5 = 0) | ~
% 10.73/2.36 | | | | | | | | | (all_11_6 = 0) | ~ (all_11_7 = 0)
% 10.73/2.36 | | | | | | | | |
% 10.73/2.36 | | | | | | | | | BETA: splitting (58) gives:
% 10.73/2.36 | | | | | | | | |
% 10.73/2.36 | | | | | | | | | Case 1:
% 10.73/2.36 | | | | | | | | | |
% 10.73/2.36 | | | | | | | | | | (59) ~ (all_11_1 = 0)
% 10.73/2.36 | | | | | | | | | |
% 10.73/2.36 | | | | | | | | | | REDUCE: (54), (59) imply:
% 10.73/2.36 | | | | | | | | | | (60) $false
% 10.73/2.36 | | | | | | | | | |
% 10.73/2.36 | | | | | | | | | | CLOSE: (60) is inconsistent.
% 10.73/2.36 | | | | | | | | | |
% 10.73/2.36 | | | | | | | | | Case 2:
% 10.73/2.36 | | | | | | | | | |
% 10.73/2.36 | | | | | | | | | | (61) ~ (all_11_2 = 0) | ~ (all_11_3 = 0) | ~ (all_11_4
% 10.73/2.36 | | | | | | | | | | = 0) | ~ (all_11_5 = 0) | ~ (all_11_6 = 0) | ~
% 10.73/2.36 | | | | | | | | | | (all_11_7 = 0)
% 10.73/2.36 | | | | | | | | | |
% 10.73/2.36 | | | | | | | | | | BETA: splitting (61) gives:
% 10.73/2.36 | | | | | | | | | |
% 10.73/2.36 | | | | | | | | | | Case 1:
% 10.73/2.36 | | | | | | | | | | |
% 10.73/2.36 | | | | | | | | | | | (62) ~ (all_11_2 = 0)
% 10.73/2.36 | | | | | | | | | | |
% 10.73/2.36 | | | | | | | | | | | REDUCE: (42), (62) imply:
% 10.73/2.36 | | | | | | | | | | | (63) $false
% 10.73/2.36 | | | | | | | | | | |
% 10.73/2.36 | | | | | | | | | | | CLOSE: (63) is inconsistent.
% 10.73/2.36 | | | | | | | | | | |
% 10.73/2.36 | | | | | | | | | | Case 2:
% 10.73/2.36 | | | | | | | | | | |
% 10.73/2.36 | | | | | | | | | | | (64) ~ (all_11_3 = 0) | ~ (all_11_4 = 0) | ~
% 10.73/2.36 | | | | | | | | | | | (all_11_5 = 0) | ~ (all_11_6 = 0) | ~ (all_11_7
% 10.73/2.36 | | | | | | | | | | | = 0)
% 10.73/2.36 | | | | | | | | | | |
% 10.73/2.36 | | | | | | | | | | | BETA: splitting (64) gives:
% 10.73/2.36 | | | | | | | | | | |
% 10.73/2.36 | | | | | | | | | | | Case 1:
% 10.73/2.36 | | | | | | | | | | | |
% 10.73/2.36 | | | | | | | | | | | | (65) ~ (all_11_3 = 0)
% 10.73/2.36 | | | | | | | | | | | |
% 10.73/2.36 | | | | | | | | | | | | REDUCE: (40), (65) imply:
% 10.73/2.36 | | | | | | | | | | | | (66) $false
% 10.73/2.36 | | | | | | | | | | | |
% 10.73/2.36 | | | | | | | | | | | | CLOSE: (66) is inconsistent.
% 10.73/2.36 | | | | | | | | | | | |
% 10.73/2.36 | | | | | | | | | | | Case 2:
% 10.73/2.36 | | | | | | | | | | | |
% 10.73/2.36 | | | | | | | | | | | | (67) ~ (all_11_4 = 0) | ~ (all_11_5 = 0) | ~
% 10.73/2.36 | | | | | | | | | | | | (all_11_6 = 0) | ~ (all_11_7 = 0)
% 10.73/2.36 | | | | | | | | | | | |
% 10.73/2.36 | | | | | | | | | | | | BETA: splitting (67) gives:
% 10.73/2.36 | | | | | | | | | | | |
% 10.73/2.36 | | | | | | | | | | | | Case 1:
% 10.73/2.36 | | | | | | | | | | | | |
% 10.73/2.36 | | | | | | | | | | | | | (68) ~ (all_11_4 = 0)
% 10.73/2.36 | | | | | | | | | | | | |
% 10.73/2.36 | | | | | | | | | | | | | REDUCE: (55), (68) imply:
% 10.73/2.36 | | | | | | | | | | | | | (69) $false
% 10.73/2.36 | | | | | | | | | | | | |
% 10.73/2.36 | | | | | | | | | | | | | CLOSE: (69) is inconsistent.
% 10.73/2.36 | | | | | | | | | | | | |
% 10.73/2.36 | | | | | | | | | | | | Case 2:
% 10.73/2.36 | | | | | | | | | | | | |
% 10.73/2.36 | | | | | | | | | | | | | (70) ~ (all_11_5 = 0) | ~ (all_11_6 = 0) | ~
% 10.73/2.37 | | | | | | | | | | | | | (all_11_7 = 0)
% 10.73/2.37 | | | | | | | | | | | | |
% 10.73/2.37 | | | | | | | | | | | | | BETA: splitting (70) gives:
% 10.73/2.37 | | | | | | | | | | | | |
% 10.73/2.37 | | | | | | | | | | | | | Case 1:
% 10.73/2.37 | | | | | | | | | | | | | |
% 10.73/2.37 | | | | | | | | | | | | | | (71) ~ (all_11_5 = 0)
% 10.73/2.37 | | | | | | | | | | | | | |
% 10.73/2.37 | | | | | | | | | | | | | | BETA: splitting (34) gives:
% 10.73/2.37 | | | | | | | | | | | | | |
% 10.73/2.37 | | | | | | | | | | | | | | Case 1:
% 10.73/2.37 | | | | | | | | | | | | | | |
% 10.73/2.37 | | | | | | | | | | | | | | | (72) all_11_5 = 0
% 10.73/2.37 | | | | | | | | | | | | | | |
% 10.73/2.37 | | | | | | | | | | | | | | | REDUCE: (71), (72) imply:
% 10.73/2.37 | | | | | | | | | | | | | | | (73) $false
% 10.73/2.37 | | | | | | | | | | | | | | |
% 10.73/2.37 | | | | | | | | | | | | | | | CLOSE: (73) is inconsistent.
% 10.73/2.37 | | | | | | | | | | | | | | |
% 11.22/2.37 | | | | | | | | | | | | | | Case 2:
% 11.22/2.37 | | | | | | | | | | | | | | |
% 11.22/2.37 | | | | | | | | | | | | | | | (74) ? [v0: int] : ( ~ (v0 = 0) &
% 11.22/2.37 | | | | | | | | | | | | | | | icext(uri_rdfs_Resource, uri_ex_p) = v0)
% 11.22/2.37 | | | | | | | | | | | | | | |
% 11.22/2.37 | | | | | | | | | | | | | | | DELTA: instantiating (74) with fresh symbol all_138_0
% 11.22/2.37 | | | | | | | | | | | | | | | gives:
% 11.22/2.37 | | | | | | | | | | | | | | | (75) ~ (all_138_0 = 0) & icext(uri_rdfs_Resource,
% 11.22/2.37 | | | | | | | | | | | | | | | uri_ex_p) = all_138_0
% 11.22/2.37 | | | | | | | | | | | | | | |
% 11.22/2.37 | | | | | | | | | | | | | | | ALPHA: (75) implies:
% 11.22/2.37 | | | | | | | | | | | | | | | (76) ~ (all_138_0 = 0)
% 11.22/2.37 | | | | | | | | | | | | | | | (77) icext(uri_rdfs_Resource, uri_ex_p) = all_138_0
% 11.22/2.37 | | | | | | | | | | | | | | |
% 11.22/2.37 | | | | | | | | | | | | | | | GROUND_INST: instantiating (6) with uri_ex_p, all_138_0,
% 11.22/2.37 | | | | | | | | | | | | | | | simplifying with (16), (77) gives:
% 11.22/2.37 | | | | | | | | | | | | | | | (78) all_138_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) &
% 11.22/2.37 | | | | | | | | | | | | | | | ir(uri_ex_p) = v0)
% 11.22/2.37 | | | | | | | | | | | | | | |
% 11.22/2.37 | | | | | | | | | | | | | | | BETA: splitting (78) gives:
% 11.22/2.37 | | | | | | | | | | | | | | |
% 11.22/2.37 | | | | | | | | | | | | | | | Case 1:
% 11.22/2.37 | | | | | | | | | | | | | | | |
% 11.22/2.37 | | | | | | | | | | | | | | | | (79) all_138_0 = 0
% 11.22/2.37 | | | | | | | | | | | | | | | |
% 11.22/2.37 | | | | | | | | | | | | | | | | REDUCE: (76), (79) imply:
% 11.22/2.37 | | | | | | | | | | | | | | | | (80) $false
% 11.22/2.37 | | | | | | | | | | | | | | | |
% 11.22/2.37 | | | | | | | | | | | | | | | | CLOSE: (80) is inconsistent.
% 11.22/2.37 | | | | | | | | | | | | | | | |
% 11.22/2.37 | | | | | | | | | | | | | | | Case 2:
% 11.22/2.37 | | | | | | | | | | | | | | | |
% 11.22/2.37 | | | | | | | | | | | | | | | | (81) ? [v0: int] : ( ~ (v0 = 0) & ir(uri_ex_p) = v0)
% 11.22/2.37 | | | | | | | | | | | | | | | |
% 11.22/2.37 | | | | | | | | | | | | | | | | DELTA: instantiating (81) with fresh symbol all_123_0
% 11.22/2.37 | | | | | | | | | | | | | | | | gives:
% 11.22/2.37 | | | | | | | | | | | | | | | | (82) ~ (all_123_0 = 0) & ir(uri_ex_p) = all_123_0
% 11.22/2.37 | | | | | | | | | | | | | | | |
% 11.22/2.37 | | | | | | | | | | | | | | | | REF_CLOSE: (16), (82), (simple_ir) are inconsistent by
% 11.22/2.37 | | | | | | | | | | | | | | | | sub-proof #1.
% 11.22/2.37 | | | | | | | | | | | | | | | |
% 11.22/2.37 | | | | | | | | | | | | | | | End of split
% 11.22/2.37 | | | | | | | | | | | | | | |
% 11.22/2.37 | | | | | | | | | | | | | | End of split
% 11.22/2.37 | | | | | | | | | | | | | |
% 11.22/2.37 | | | | | | | | | | | | | Case 2:
% 11.22/2.37 | | | | | | | | | | | | | |
% 11.22/2.37 | | | | | | | | | | | | | | (83) ~ (all_11_6 = 0) | ~ (all_11_7 = 0)
% 11.22/2.37 | | | | | | | | | | | | | |
% 11.22/2.37 | | | | | | | | | | | | | | BETA: splitting (83) gives:
% 11.22/2.37 | | | | | | | | | | | | | |
% 11.22/2.37 | | | | | | | | | | | | | | Case 1:
% 11.22/2.37 | | | | | | | | | | | | | | |
% 11.22/2.37 | | | | | | | | | | | | | | | (84) ~ (all_11_6 = 0)
% 11.22/2.37 | | | | | | | | | | | | | | |
% 11.22/2.37 | | | | | | | | | | | | | | | REDUCE: (48), (84) imply:
% 11.22/2.37 | | | | | | | | | | | | | | | (85) $false
% 11.22/2.37 | | | | | | | | | | | | | | |
% 11.22/2.37 | | | | | | | | | | | | | | | CLOSE: (85) is inconsistent.
% 11.22/2.37 | | | | | | | | | | | | | | |
% 11.22/2.37 | | | | | | | | | | | | | | Case 2:
% 11.22/2.37 | | | | | | | | | | | | | | |
% 11.22/2.37 | | | | | | | | | | | | | | | (86) ~ (all_11_7 = 0)
% 11.22/2.37 | | | | | | | | | | | | | | |
% 11.22/2.37 | | | | | | | | | | | | | | | REDUCE: (43), (86) imply:
% 11.22/2.37 | | | | | | | | | | | | | | | (87) $false
% 11.22/2.37 | | | | | | | | | | | | | | |
% 11.22/2.37 | | | | | | | | | | | | | | | CLOSE: (87) is inconsistent.
% 11.22/2.37 | | | | | | | | | | | | | | |
% 11.22/2.37 | | | | | | | | | | | | | | End of split
% 11.22/2.37 | | | | | | | | | | | | | |
% 11.22/2.37 | | | | | | | | | | | | | End of split
% 11.22/2.37 | | | | | | | | | | | | |
% 11.22/2.37 | | | | | | | | | | | | End of split
% 11.22/2.37 | | | | | | | | | | | |
% 11.22/2.37 | | | | | | | | | | | End of split
% 11.22/2.37 | | | | | | | | | | |
% 11.22/2.37 | | | | | | | | | | End of split
% 11.22/2.37 | | | | | | | | | |
% 11.22/2.37 | | | | | | | | | End of split
% 11.22/2.37 | | | | | | | | |
% 11.22/2.37 | | | | | | | | End of split
% 11.22/2.37 | | | | | | | |
% 11.22/2.37 | | | | | | | Case 2:
% 11.22/2.37 | | | | | | | |
% 11.22/2.37 | | | | | | | | (88) ? [v0: int] : ( ~ (v0 = 0) & icext(uri_owl_Thing,
% 11.22/2.37 | | | | | | | | uri_ex_p) = v0)
% 11.22/2.37 | | | | | | | |
% 11.22/2.37 | | | | | | | | DELTA: instantiating (88) with fresh symbol all_110_0 gives:
% 11.22/2.37 | | | | | | | | (89) ~ (all_110_0 = 0) & icext(uri_owl_Thing, uri_ex_p) =
% 11.22/2.37 | | | | | | | | all_110_0
% 11.22/2.37 | | | | | | | |
% 11.22/2.37 | | | | | | | | ALPHA: (89) implies:
% 11.22/2.38 | | | | | | | | (90) ~ (all_110_0 = 0)
% 11.22/2.38 | | | | | | | | (91) icext(uri_owl_Thing, uri_ex_p) = all_110_0
% 11.22/2.38 | | | | | | | |
% 11.22/2.38 | | | | | | | | GROUND_INST: instantiating (9) with uri_ex_p, all_110_0,
% 11.22/2.38 | | | | | | | | simplifying with (16), (91) gives:
% 11.22/2.38 | | | | | | | | (92) all_110_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) &
% 11.22/2.38 | | | | | | | | ir(uri_ex_p) = v0)
% 11.22/2.38 | | | | | | | |
% 11.22/2.38 | | | | | | | | BETA: splitting (92) gives:
% 11.22/2.38 | | | | | | | |
% 11.22/2.38 | | | | | | | | Case 1:
% 11.22/2.38 | | | | | | | | |
% 11.22/2.38 | | | | | | | | | (93) all_110_0 = 0
% 11.22/2.38 | | | | | | | | |
% 11.22/2.38 | | | | | | | | | REDUCE: (90), (93) imply:
% 11.22/2.38 | | | | | | | | | (94) $false
% 11.22/2.38 | | | | | | | | |
% 11.22/2.38 | | | | | | | | | CLOSE: (94) is inconsistent.
% 11.22/2.38 | | | | | | | | |
% 11.22/2.38 | | | | | | | | Case 2:
% 11.22/2.38 | | | | | | | | |
% 11.22/2.38 | | | | | | | | | (95) ? [v0: int] : ( ~ (v0 = 0) & ir(uri_ex_p) = v0)
% 11.22/2.38 | | | | | | | | |
% 11.22/2.38 | | | | | | | | | DELTA: instantiating (95) with fresh symbol all_123_0 gives:
% 11.22/2.38 | | | | | | | | | (96) ~ (all_123_0 = 0) & ir(uri_ex_p) = all_123_0
% 11.22/2.38 | | | | | | | | |
% 11.22/2.38 | | | | | | | | | REF_CLOSE: (16), (96), (simple_ir) are inconsistent by
% 11.22/2.38 | | | | | | | | | sub-proof #1.
% 11.22/2.38 | | | | | | | | |
% 11.22/2.38 | | | | | | | | End of split
% 11.22/2.38 | | | | | | | |
% 11.22/2.38 | | | | | | | End of split
% 11.22/2.38 | | | | | | |
% 11.22/2.38 | | | | | | Case 2:
% 11.22/2.38 | | | | | | |
% 11.22/2.38 | | | | | | | (97) ? [v0: int] : ( ~ (v0 = 0) & icext(uri_rdfs_Resource,
% 11.22/2.38 | | | | | | | uri_ex_o) = v0)
% 11.22/2.38 | | | | | | |
% 11.22/2.38 | | | | | | | DELTA: instantiating (97) with fresh symbol all_103_0 gives:
% 11.22/2.38 | | | | | | | (98) ~ (all_103_0 = 0) & icext(uri_rdfs_Resource, uri_ex_o) =
% 11.22/2.38 | | | | | | | all_103_0
% 11.22/2.38 | | | | | | |
% 11.22/2.38 | | | | | | | ALPHA: (98) implies:
% 11.22/2.38 | | | | | | | (99) ~ (all_103_0 = 0)
% 11.22/2.38 | | | | | | | (100) icext(uri_rdfs_Resource, uri_ex_o) = all_103_0
% 11.22/2.38 | | | | | | |
% 11.22/2.38 | | | | | | | GROUND_INST: instantiating (20) with 0, all_103_0, uri_ex_o,
% 11.22/2.38 | | | | | | | uri_rdfs_Resource, simplifying with (53), (100)
% 11.22/2.38 | | | | | | | gives:
% 11.22/2.38 | | | | | | | (101) all_103_0 = 0
% 11.22/2.38 | | | | | | |
% 11.22/2.38 | | | | | | | REDUCE: (99), (101) imply:
% 11.22/2.38 | | | | | | | (102) $false
% 11.22/2.38 | | | | | | |
% 11.22/2.38 | | | | | | | CLOSE: (102) is inconsistent.
% 11.22/2.38 | | | | | | |
% 11.22/2.38 | | | | | | End of split
% 11.22/2.38 | | | | | |
% 11.22/2.38 | | | | | Case 2:
% 11.22/2.38 | | | | | |
% 11.22/2.38 | | | | | | (103) ? [v0: int] : ( ~ (v0 = 0) & icext(uri_owl_Thing,
% 11.22/2.38 | | | | | | uri_ex_o) = v0)
% 11.22/2.38 | | | | | |
% 11.22/2.38 | | | | | | DELTA: instantiating (103) with fresh symbol all_81_0 gives:
% 11.22/2.38 | | | | | | (104) ~ (all_81_0 = 0) & icext(uri_owl_Thing, uri_ex_o) =
% 11.22/2.38 | | | | | | all_81_0
% 11.22/2.38 | | | | | |
% 11.22/2.38 | | | | | | ALPHA: (104) implies:
% 11.22/2.38 | | | | | | (105) ~ (all_81_0 = 0)
% 11.22/2.38 | | | | | | (106) icext(uri_owl_Thing, uri_ex_o) = all_81_0
% 11.22/2.38 | | | | | |
% 11.22/2.38 | | | | | | GROUND_INST: instantiating (9) with uri_ex_o, all_81_0, simplifying
% 11.22/2.38 | | | | | | with (17), (106) gives:
% 11.22/2.38 | | | | | | (107) all_81_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) & ir(uri_ex_o) =
% 11.22/2.38 | | | | | | v0)
% 11.22/2.38 | | | | | |
% 11.22/2.38 | | | | | | BETA: splitting (107) gives:
% 11.22/2.38 | | | | | |
% 11.22/2.38 | | | | | | Case 1:
% 11.22/2.38 | | | | | | |
% 11.22/2.38 | | | | | | | (108) all_81_0 = 0
% 11.22/2.38 | | | | | | |
% 11.22/2.38 | | | | | | | REDUCE: (105), (108) imply:
% 11.22/2.38 | | | | | | | (109) $false
% 11.22/2.38 | | | | | | |
% 11.22/2.38 | | | | | | | CLOSE: (109) is inconsistent.
% 11.22/2.38 | | | | | | |
% 11.22/2.38 | | | | | | Case 2:
% 11.22/2.38 | | | | | | |
% 11.22/2.39 | | | | | | | (110) ? [v0: int] : ( ~ (v0 = 0) & ir(uri_ex_o) = v0)
% 11.22/2.39 | | | | | | |
% 11.22/2.39 | | | | | | | DELTA: instantiating (110) with fresh symbol all_94_0 gives:
% 11.22/2.39 | | | | | | | (111) ~ (all_94_0 = 0) & ir(uri_ex_o) = all_94_0
% 11.22/2.39 | | | | | | |
% 11.22/2.39 | | | | | | | ALPHA: (111) implies:
% 11.22/2.39 | | | | | | | (112) ~ (all_94_0 = 0)
% 11.22/2.39 | | | | | | | (113) ir(uri_ex_o) = all_94_0
% 11.22/2.39 | | | | | | |
% 11.22/2.39 | | | | | | | GROUND_INST: instantiating (simple_ir) with uri_ex_o, all_94_0,
% 11.22/2.39 | | | | | | | simplifying with (17), (113) gives:
% 11.22/2.39 | | | | | | | (114) all_94_0 = 0
% 11.22/2.39 | | | | | | |
% 11.22/2.39 | | | | | | | REDUCE: (112), (114) imply:
% 11.22/2.39 | | | | | | | (115) $false
% 11.22/2.39 | | | | | | |
% 11.22/2.39 | | | | | | | CLOSE: (115) is inconsistent.
% 11.22/2.39 | | | | | | |
% 11.22/2.39 | | | | | | End of split
% 11.22/2.39 | | | | | |
% 11.22/2.39 | | | | | End of split
% 11.22/2.39 | | | | |
% 11.22/2.39 | | | | Case 2:
% 11.22/2.39 | | | | |
% 11.22/2.39 | | | | | (116) ? [v0: int] : ( ~ (v0 = 0) & icext(uri_owl_Thing, uri_ex_s)
% 11.22/2.39 | | | | | = v0)
% 11.22/2.39 | | | | |
% 11.22/2.39 | | | | | DELTA: instantiating (116) with fresh symbol all_74_0 gives:
% 11.22/2.39 | | | | | (117) ~ (all_74_0 = 0) & icext(uri_owl_Thing, uri_ex_s) = all_74_0
% 11.22/2.39 | | | | |
% 11.22/2.39 | | | | | ALPHA: (117) implies:
% 11.22/2.39 | | | | | (118) ~ (all_74_0 = 0)
% 11.22/2.39 | | | | | (119) icext(uri_owl_Thing, uri_ex_s) = all_74_0
% 11.22/2.39 | | | | |
% 11.22/2.39 | | | | | GROUND_INST: instantiating (20) with 0, all_74_0, uri_ex_s,
% 11.22/2.39 | | | | | uri_owl_Thing, simplifying with (47), (119) gives:
% 11.22/2.39 | | | | | (120) all_74_0 = 0
% 11.22/2.39 | | | | |
% 11.22/2.39 | | | | | REDUCE: (118), (120) imply:
% 11.22/2.39 | | | | | (121) $false
% 11.22/2.39 | | | | |
% 11.22/2.39 | | | | | CLOSE: (121) is inconsistent.
% 11.22/2.39 | | | | |
% 11.22/2.39 | | | | End of split
% 11.22/2.39 | | | |
% 11.22/2.39 | | | Case 2:
% 11.22/2.39 | | | |
% 11.22/2.39 | | | | (122) ? [v0: int] : ( ~ (v0 = 0) & icext(uri_rdfs_Resource,
% 11.22/2.39 | | | | uri_ex_s) = v0)
% 11.22/2.39 | | | |
% 11.22/2.39 | | | | DELTA: instantiating (122) with fresh symbol all_52_0 gives:
% 11.22/2.39 | | | | (123) ~ (all_52_0 = 0) & icext(uri_rdfs_Resource, uri_ex_s) =
% 11.22/2.39 | | | | all_52_0
% 11.22/2.39 | | | |
% 11.22/2.39 | | | | ALPHA: (123) implies:
% 11.22/2.39 | | | | (124) ~ (all_52_0 = 0)
% 11.22/2.39 | | | | (125) icext(uri_rdfs_Resource, uri_ex_s) = all_52_0
% 11.22/2.39 | | | |
% 11.22/2.39 | | | | GROUND_INST: instantiating (6) with uri_ex_s, all_52_0, simplifying with
% 11.22/2.39 | | | | (15), (125) gives:
% 11.22/2.39 | | | | (126) all_52_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) & ir(uri_ex_s) = v0)
% 11.22/2.39 | | | |
% 11.22/2.39 | | | | BETA: splitting (126) gives:
% 11.22/2.39 | | | |
% 11.22/2.39 | | | | Case 1:
% 11.22/2.39 | | | | |
% 11.22/2.39 | | | | | (127) all_52_0 = 0
% 11.22/2.39 | | | | |
% 11.22/2.39 | | | | | REDUCE: (124), (127) imply:
% 11.22/2.39 | | | | | (128) $false
% 11.22/2.39 | | | | |
% 11.22/2.39 | | | | | CLOSE: (128) is inconsistent.
% 11.22/2.39 | | | | |
% 11.22/2.39 | | | | Case 2:
% 11.22/2.39 | | | | |
% 11.22/2.40 | | | | | (129) ? [v0: int] : ( ~ (v0 = 0) & ir(uri_ex_s) = v0)
% 11.22/2.40 | | | | |
% 11.22/2.40 | | | | | DELTA: instantiating (129) with fresh symbol all_67_0 gives:
% 11.22/2.40 | | | | | (130) ~ (all_67_0 = 0) & ir(uri_ex_s) = all_67_0
% 11.22/2.40 | | | | |
% 11.22/2.40 | | | | | ALPHA: (130) implies:
% 11.22/2.40 | | | | | (131) ~ (all_67_0 = 0)
% 11.22/2.40 | | | | | (132) ir(uri_ex_s) = all_67_0
% 11.22/2.40 | | | | |
% 11.22/2.40 | | | | | GROUND_INST: instantiating (simple_ir) with uri_ex_s, all_67_0,
% 11.22/2.40 | | | | | simplifying with (15), (132) gives:
% 11.22/2.40 | | | | | (133) all_67_0 = 0
% 11.22/2.40 | | | | |
% 11.22/2.40 | | | | | REDUCE: (131), (133) imply:
% 11.22/2.40 | | | | | (134) $false
% 11.22/2.40 | | | | |
% 11.22/2.40 | | | | | CLOSE: (134) is inconsistent.
% 11.22/2.40 | | | | |
% 11.22/2.40 | | | | End of split
% 11.22/2.40 | | | |
% 11.22/2.40 | | | End of split
% 11.22/2.40 | | |
% 11.22/2.40 | | Case 2:
% 11.22/2.40 | | |
% 11.22/2.40 | | | (135) ? [v0: int] : ( ~ (v0 = 0) & icext(uri_owl_ObjectProperty,
% 11.22/2.40 | | | uri_ex_p) = v0)
% 11.22/2.40 | | |
% 11.22/2.40 | | | DELTA: instantiating (135) with fresh symbol all_33_0 gives:
% 11.22/2.40 | | | (136) ~ (all_33_0 = 0) & icext(uri_owl_ObjectProperty, uri_ex_p) =
% 11.22/2.40 | | | all_33_0
% 11.22/2.40 | | |
% 11.22/2.40 | | | ALPHA: (136) implies:
% 11.22/2.40 | | | (137) ~ (all_33_0 = 0)
% 11.22/2.40 | | | (138) icext(uri_owl_ObjectProperty, uri_ex_p) = all_33_0
% 11.22/2.40 | | |
% 11.22/2.40 | | | GROUND_INST: instantiating (20) with 0, all_33_0, uri_ex_p,
% 11.22/2.40 | | | uri_owl_ObjectProperty, simplifying with (41), (138) gives:
% 11.22/2.40 | | | (139) all_33_0 = 0
% 11.22/2.40 | | |
% 11.22/2.40 | | | REDUCE: (137), (139) imply:
% 11.22/2.40 | | | (140) $false
% 11.22/2.40 | | |
% 11.22/2.40 | | | CLOSE: (140) is inconsistent.
% 11.22/2.40 | | |
% 11.22/2.40 | | End of split
% 11.22/2.40 | |
% 11.22/2.40 | Case 2:
% 11.22/2.40 | |
% 11.22/2.40 | | (141) ? [v0: int] : ( ~ (v0 = 0) & ip(uri_ex_p) = v0)
% 11.22/2.40 | |
% 11.22/2.40 | | DELTA: instantiating (141) with fresh symbol all_23_0 gives:
% 11.22/2.40 | | (142) ~ (all_23_0 = 0) & ip(uri_ex_p) = all_23_0
% 11.22/2.40 | |
% 11.22/2.40 | | ALPHA: (142) implies:
% 11.22/2.40 | | (143) ~ (all_23_0 = 0)
% 11.22/2.40 | | (144) ip(uri_ex_p) = all_23_0
% 11.22/2.40 | |
% 11.22/2.40 | | GROUND_INST: instantiating (19) with 0, all_23_0, uri_ex_p, simplifying with
% 11.22/2.40 | | (39), (144) gives:
% 11.22/2.40 | | (145) all_23_0 = 0
% 11.22/2.40 | |
% 11.22/2.40 | | REDUCE: (143), (145) imply:
% 11.22/2.40 | | (146) $false
% 11.22/2.40 | |
% 11.22/2.40 | | CLOSE: (146) is inconsistent.
% 11.22/2.40 | |
% 11.22/2.40 | End of split
% 11.22/2.40 |
% 11.22/2.40 End of proof
% 11.22/2.40
% 11.22/2.40 Sub-proof #1 shows that the following formulas are inconsistent:
% 11.22/2.40 ----------------------------------------------------------------
% 11.22/2.40 (1) ~ (all_123_0 = 0) & ir(uri_ex_p) = all_123_0
% 11.22/2.40 (2) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (ir(v0) = v1) | ~ $i(v0))
% 11.22/2.40 (3) $i(uri_ex_p)
% 11.22/2.40
% 11.22/2.40 Begin of proof
% 11.22/2.40 |
% 11.22/2.40 | ALPHA: (1) implies:
% 11.22/2.40 | (4) ~ (all_123_0 = 0)
% 11.22/2.40 | (5) ir(uri_ex_p) = all_123_0
% 11.22/2.40 |
% 11.22/2.40 | GROUND_INST: instantiating (2) with uri_ex_p, all_123_0, simplifying with (3),
% 11.22/2.40 | (5) gives:
% 11.22/2.40 | (6) all_123_0 = 0
% 11.22/2.40 |
% 11.22/2.40 | REDUCE: (4), (6) imply:
% 11.22/2.40 | (7) $false
% 11.22/2.40 |
% 11.22/2.40 | CLOSE: (7) is inconsistent.
% 11.22/2.40 |
% 11.22/2.41 End of proof
% 11.22/2.41 % SZS output end Proof for theBenchmark
% 11.22/2.41
% 11.22/2.41 1780ms
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