TSTP Solution File: SWB004+2 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SWB004+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 : n002.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 20:11:34 EDT 2023
% Result : Theorem 7.25s 1.85s
% Output : Proof 10.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWB004+2 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.14/0.34 % Computer : n002.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun Aug 27 07:37:48 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.21/0.59 ________ _____
% 0.21/0.59 ___ __ \_________(_)________________________________
% 0.21/0.59 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.21/0.59 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.21/0.59 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.21/0.59
% 0.21/0.59 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.21/0.59 (2023-06-19)
% 0.21/0.59
% 0.21/0.59 (c) Philipp Rümmer, 2009-2023
% 0.21/0.59 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.21/0.59 Amanda Stjerna.
% 0.21/0.59 Free software under BSD-3-Clause.
% 0.21/0.59
% 0.21/0.59 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.21/0.59
% 0.21/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.21/0.60 Running up to 7 provers in parallel.
% 0.21/0.62 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.21/0.62 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.21/0.62 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.21/0.62 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.21/0.62 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.21/0.62 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.21/0.62 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.30/1.01 Prover 4: Preprocessing ...
% 2.30/1.01 Prover 1: Preprocessing ...
% 2.41/1.05 Prover 3: Preprocessing ...
% 2.41/1.05 Prover 0: Preprocessing ...
% 2.41/1.05 Prover 6: Preprocessing ...
% 2.41/1.05 Prover 2: Preprocessing ...
% 2.41/1.05 Prover 5: Preprocessing ...
% 4.07/1.34 Prover 5: Proving ...
% 4.07/1.34 Prover 2: Proving ...
% 4.55/1.37 Prover 3: Constructing countermodel ...
% 4.55/1.37 Prover 6: Proving ...
% 4.78/1.38 Prover 1: Constructing countermodel ...
% 4.91/1.41 Prover 4: Constructing countermodel ...
% 5.10/1.45 Prover 0: Proving ...
% 7.25/1.84 Prover 6: proved (1220ms)
% 7.25/1.85
% 7.25/1.85 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.25/1.85
% 7.25/1.85 Prover 5: stopped
% 7.25/1.85 Prover 0: stopped
% 7.25/1.86 Prover 3: stopped
% 7.25/1.86 Prover 2: stopped
% 8.28/1.87 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 8.28/1.87 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 8.28/1.87 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 8.28/1.88 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 8.28/1.88 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 8.28/1.89 Prover 8: Preprocessing ...
% 8.28/1.89 Prover 10: Preprocessing ...
% 8.28/1.89 Prover 7: Preprocessing ...
% 8.28/1.91 Prover 13: Preprocessing ...
% 8.28/1.91 Prover 11: Preprocessing ...
% 8.28/1.94 Prover 10: Warning: ignoring some quantifiers
% 8.28/1.94 Prover 7: Warning: ignoring some quantifiers
% 8.28/1.94 Prover 7: Constructing countermodel ...
% 8.28/1.95 Prover 13: Warning: ignoring some quantifiers
% 8.28/1.95 Prover 13: Constructing countermodel ...
% 8.28/1.95 Prover 10: Constructing countermodel ...
% 8.88/1.99 Prover 8: Warning: ignoring some quantifiers
% 8.88/1.99 Prover 8: Constructing countermodel ...
% 8.88/2.03 Prover 11: Constructing countermodel ...
% 9.61/2.05 Prover 1: Found proof (size 152)
% 9.61/2.05 Prover 1: proved (1441ms)
% 9.61/2.05 Prover 10: stopped
% 9.61/2.05 Prover 8: stopped
% 9.61/2.06 Prover 7: stopped
% 9.61/2.06 Prover 11: stopped
% 9.61/2.06 Prover 13: stopped
% 9.61/2.06 Prover 4: stopped
% 9.61/2.06
% 9.61/2.06 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.61/2.06
% 9.61/2.07 % SZS output start Proof for theBenchmark
% 9.61/2.07 Assumptions after simplification:
% 9.61/2.07 ---------------------------------
% 9.61/2.07
% 9.61/2.08 (owl_class_classowl_ext)
% 9.85/2.10 $i(uri_owl_Class) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~
% 9.85/2.10 (icext(uri_owl_Class, v0) = v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) &
% 9.85/2.10 ic(v0) = v2)) & ! [v0: $i] : ( ~ (icext(uri_owl_Class, v0) = 0) | ~
% 9.85/2.10 $i(v0) | ic(v0) = 0)
% 9.85/2.10
% 9.85/2.10 (owl_class_classowl_type)
% 9.85/2.10 ic(uri_owl_Class) = 0 & $i(uri_owl_Class)
% 9.85/2.10
% 9.85/2.10 (owl_class_classrdfs_ext)
% 9.85/2.10 $i(uri_rdfs_Class) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~
% 9.85/2.10 (icext(uri_rdfs_Class, v0) = v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) &
% 9.85/2.10 ic(v0) = v2)) & ! [v0: $i] : ( ~ (icext(uri_rdfs_Class, v0) = 0) | ~
% 9.85/2.10 $i(v0) | ic(v0) = 0)
% 9.85/2.10
% 9.85/2.10 (owl_class_classrdfs_type)
% 9.85/2.10 ic(uri_rdfs_Class) = 0 & $i(uri_rdfs_Class)
% 9.85/2.10
% 9.85/2.10 (owl_class_datatype_ext)
% 9.85/2.11 $i(uri_rdfs_Datatype) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~
% 9.85/2.11 (icext(uri_rdfs_Datatype, v0) = v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 =
% 9.85/2.11 0) & idc(v0) = v2)) & ! [v0: $i] : ( ~ (icext(uri_rdfs_Datatype, v0) =
% 9.85/2.11 0) | ~ $i(v0) | idc(v0) = 0)
% 9.85/2.11
% 9.85/2.11 (owl_class_datatype_type)
% 9.85/2.11 ic(uri_rdfs_Datatype) = 0 & $i(uri_rdfs_Datatype)
% 9.85/2.11
% 9.85/2.11 (owl_class_thing_ext)
% 9.85/2.11 $i(uri_owl_Thing) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~
% 9.85/2.11 (icext(uri_owl_Thing, v0) = v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) &
% 9.85/2.11 ir(v0) = v2)) & ! [v0: $i] : ( ~ (icext(uri_owl_Thing, v0) = 0) | ~
% 9.85/2.11 $i(v0) | ir(v0) = 0)
% 9.85/2.11
% 9.85/2.11 (owl_class_thing_type)
% 9.85/2.11 ic(uri_owl_Thing) = 0 & $i(uri_owl_Thing)
% 9.85/2.11
% 9.85/2.11 (owl_eqdis_equivalentclass)
% 9.85/2.12 $i(uri_owl_equivalentClass) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 =
% 9.85/2.12 0 | ~ (iext(uri_owl_equivalentClass, v0, v1) = v2) | ~ $i(v1) | ~ $i(v0)
% 9.85/2.12 | ? [v3: $i] : ? [v4: any] : ? [v5: any] : (icext(v1, v3) = v5 &
% 9.85/2.12 icext(v0, v3) = v4 & $i(v3) & ( ~ (v5 = 0) | ~ (v4 = 0)) & (v5 = 0 | v4 =
% 9.85/2.12 0)) | ? [v3: any] : ? [v4: any] : (ic(v1) = v4 & ic(v0) = v3 & ( ~ (v4
% 9.85/2.12 = 0) | ~ (v3 = 0)))) & ! [v0: $i] : ! [v1: $i] : ( ~
% 9.85/2.12 (iext(uri_owl_equivalentClass, v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) |
% 9.85/2.12 (ic(v1) = 0 & ic(v0) = 0 & ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 9.85/2.12 (icext(v0, v2) = v3) | ~ $i(v2) | ? [v4: int] : ( ~ (v4 = 0) &
% 9.85/2.12 icext(v1, v2) = v4)) & ! [v2: $i] : ( ~ (icext(v0, v2) = 0) | ~
% 9.85/2.12 $i(v2) | icext(v1, v2) = 0)))
% 9.85/2.12
% 9.85/2.12 (owl_parts_idc_cond_set)
% 9.85/2.12 ! [v0: $i] : ( ~ (idc(v0) = 0) | ~ $i(v0) | ic(v0) = 0)
% 9.85/2.12
% 9.85/2.12 (owl_rdfsext_subclassof)
% 9.85/2.12 $i(uri_rdfs_subClassOf) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 |
% 9.85/2.12 ~ (iext(uri_rdfs_subClassOf, v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ?
% 9.85/2.12 [v3: $i] : ? [v4: int] : ( ~ (v4 = 0) & icext(v1, v3) = v4 & icext(v0, v3)
% 9.85/2.12 = 0 & $i(v3)) | ? [v3: any] : ? [v4: any] : (ic(v1) = v4 & ic(v0) = v3 &
% 9.85/2.12 ( ~ (v4 = 0) | ~ (v3 = 0)))) & ! [v0: $i] : ! [v1: $i] : ( ~
% 9.85/2.12 (iext(uri_rdfs_subClassOf, v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | (ic(v1) =
% 9.85/2.12 0 & ic(v0) = 0 & ! [v2: $i] : ( ~ (icext(v0, v2) = 0) | ~ $i(v2) |
% 9.85/2.12 icext(v1, v2) = 0)))
% 9.85/2.12
% 9.85/2.12 (rdfs_cext_def)
% 9.85/2.13 $i(uri_rdf_type) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~
% 9.85/2.13 (iext(uri_rdf_type, v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : (
% 9.85/2.13 ~ (v3 = 0) & icext(v1, v0) = v3)) & ! [v0: $i] : ! [v1: $i] : ( ~
% 9.85/2.13 (iext(uri_rdf_type, v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | icext(v1, v0) =
% 9.85/2.13 0)
% 9.85/2.13
% 9.85/2.13 (simple_ir)
% 9.85/2.13 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (ir(v0) = v1) | ~ $i(v0))
% 9.85/2.13
% 9.85/2.13 (testcase_conclusion_fullish_004_Axiomatic_Triples)
% 9.85/2.13 $i(uri_owl_equivalentClass) & $i(uri_rdfs_subClassOf) & $i(uri_owl_Thing) &
% 9.85/2.13 $i(uri_rdfs_Datatype) & $i(uri_rdfs_Class) & $i(uri_owl_Class) &
% 9.85/2.13 $i(uri_rdf_type) & ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] :
% 9.85/2.13 ? [v4: any] : (iext(uri_owl_equivalentClass, uri_owl_Class, uri_rdfs_Class) =
% 9.85/2.13 v3 & iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_owl_Class) = v4 &
% 9.85/2.13 iext(uri_rdfs_subClassOf, uri_owl_Class, uri_owl_Thing) = v2 &
% 9.85/2.13 iext(uri_rdf_type, uri_owl_Class, uri_owl_Thing) = v0 & iext(uri_rdf_type,
% 9.85/2.13 uri_owl_Class, uri_owl_Class) = v1 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 =
% 9.85/2.13 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 9.85/2.13
% 9.85/2.13 (function-axioms)
% 9.85/2.13 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 9.85/2.13 [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (iext(v4, v3, v2) = v1) | ~ (iext(v4,
% 9.85/2.13 v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool]
% 9.85/2.13 : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (icext(v3, v2) = v1) | ~
% 9.85/2.13 (icext(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 9.85/2.13 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (idc(v2) = v1) | ~
% 9.85/2.13 (idc(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 9.85/2.13 ! [v2: $i] : (v1 = v0 | ~ (ic(v2) = v1) | ~ (ic(v2) = v0)) & ! [v0:
% 9.85/2.13 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 9.85/2.13 ~ (ir(v2) = v1) | ~ (ir(v2) = v0))
% 9.85/2.14
% 9.85/2.14 Those formulas are unsatisfiable:
% 9.85/2.14 ---------------------------------
% 9.85/2.14
% 9.85/2.14 Begin of proof
% 9.85/2.14 |
% 9.85/2.14 | ALPHA: (rdfs_cext_def) implies:
% 9.85/2.14 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~
% 9.85/2.14 | (iext(uri_rdf_type, v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3:
% 9.85/2.14 | int] : ( ~ (v3 = 0) & icext(v1, v0) = v3))
% 9.85/2.14 |
% 9.85/2.14 | ALPHA: (owl_class_classowl_type) implies:
% 9.85/2.14 | (2) ic(uri_owl_Class) = 0
% 9.85/2.14 |
% 9.85/2.14 | ALPHA: (owl_class_classowl_ext) implies:
% 9.85/2.14 | (3) ! [v0: $i] : ( ~ (icext(uri_owl_Class, v0) = 0) | ~ $i(v0) | ic(v0) =
% 9.85/2.14 | 0)
% 9.85/2.14 | (4) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (icext(uri_owl_Class, v0) =
% 9.85/2.14 | v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & ic(v0) = v2))
% 9.85/2.14 |
% 9.85/2.14 | ALPHA: (owl_class_classrdfs_type) implies:
% 9.85/2.14 | (5) ic(uri_rdfs_Class) = 0
% 9.85/2.14 |
% 9.85/2.14 | ALPHA: (owl_class_classrdfs_ext) implies:
% 9.85/2.14 | (6) ! [v0: $i] : ( ~ (icext(uri_rdfs_Class, v0) = 0) | ~ $i(v0) | ic(v0)
% 9.85/2.14 | = 0)
% 10.08/2.14 | (7) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (icext(uri_rdfs_Class, v0) =
% 10.08/2.14 | v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & ic(v0) = v2))
% 10.08/2.14 |
% 10.08/2.14 | ALPHA: (owl_class_datatype_type) implies:
% 10.08/2.14 | (8) ic(uri_rdfs_Datatype) = 0
% 10.08/2.14 |
% 10.08/2.14 | ALPHA: (owl_class_datatype_ext) implies:
% 10.08/2.14 | (9) ! [v0: $i] : ( ~ (icext(uri_rdfs_Datatype, v0) = 0) | ~ $i(v0) |
% 10.08/2.14 | idc(v0) = 0)
% 10.08/2.14 |
% 10.08/2.14 | ALPHA: (owl_class_thing_type) implies:
% 10.08/2.15 | (10) ic(uri_owl_Thing) = 0
% 10.08/2.15 |
% 10.08/2.15 | ALPHA: (owl_class_thing_ext) implies:
% 10.08/2.15 | (11) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (icext(uri_owl_Thing, v0) =
% 10.08/2.15 | v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & ir(v0) = v2))
% 10.08/2.15 |
% 10.08/2.15 | ALPHA: (owl_rdfsext_subclassof) implies:
% 10.10/2.15 | (12) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~
% 10.10/2.15 | (iext(uri_rdfs_subClassOf, v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) |
% 10.10/2.15 | ? [v3: $i] : ? [v4: int] : ( ~ (v4 = 0) & icext(v1, v3) = v4 &
% 10.10/2.15 | icext(v0, v3) = 0 & $i(v3)) | ? [v3: any] : ? [v4: any] :
% 10.10/2.15 | (ic(v1) = v4 & ic(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0))))
% 10.10/2.15 |
% 10.10/2.15 | ALPHA: (owl_eqdis_equivalentclass) implies:
% 10.10/2.15 | (13) ! [v0: $i] : ! [v1: $i] : ( ~ (iext(uri_owl_equivalentClass, v0, v1)
% 10.10/2.15 | = 0) | ~ $i(v1) | ~ $i(v0) | (ic(v1) = 0 & ic(v0) = 0 & ! [v2:
% 10.10/2.15 | $i] : ! [v3: int] : (v3 = 0 | ~ (icext(v0, v2) = v3) | ~
% 10.10/2.15 | $i(v2) | ? [v4: int] : ( ~ (v4 = 0) & icext(v1, v2) = v4)) & !
% 10.10/2.15 | [v2: $i] : ( ~ (icext(v0, v2) = 0) | ~ $i(v2) | icext(v1, v2) =
% 10.10/2.15 | 0)))
% 10.10/2.15 | (14) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~
% 10.10/2.15 | (iext(uri_owl_equivalentClass, v0, v1) = v2) | ~ $i(v1) | ~ $i(v0)
% 10.10/2.15 | | ? [v3: $i] : ? [v4: any] : ? [v5: any] : (icext(v1, v3) = v5 &
% 10.10/2.15 | icext(v0, v3) = v4 & $i(v3) & ( ~ (v5 = 0) | ~ (v4 = 0)) & (v5 =
% 10.10/2.15 | 0 | v4 = 0)) | ? [v3: any] : ? [v4: any] : (ic(v1) = v4 &
% 10.10/2.15 | ic(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0))))
% 10.10/2.15 |
% 10.10/2.15 | ALPHA: (testcase_conclusion_fullish_004_Axiomatic_Triples) implies:
% 10.10/2.15 | (15) $i(uri_owl_Class)
% 10.10/2.15 | (16) $i(uri_rdfs_Class)
% 10.10/2.15 | (17) $i(uri_rdfs_Datatype)
% 10.10/2.15 | (18) $i(uri_owl_Thing)
% 10.10/2.15 | (19) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? [v4:
% 10.10/2.15 | any] : (iext(uri_owl_equivalentClass, uri_owl_Class, uri_rdfs_Class)
% 10.10/2.15 | = v3 & iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_owl_Class) =
% 10.10/2.15 | v4 & iext(uri_rdfs_subClassOf, uri_owl_Class, uri_owl_Thing) = v2 &
% 10.10/2.15 | iext(uri_rdf_type, uri_owl_Class, uri_owl_Thing) = v0 &
% 10.10/2.15 | iext(uri_rdf_type, uri_owl_Class, uri_owl_Class) = v1 & ( ~ (v4 = 0)
% 10.10/2.15 | | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 10.10/2.15 |
% 10.10/2.15 | ALPHA: (function-axioms) implies:
% 10.10/2.16 | (20) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 10.10/2.16 | : (v1 = v0 | ~ (ic(v2) = v1) | ~ (ic(v2) = v0))
% 10.10/2.16 |
% 10.10/2.16 | DELTA: instantiating (19) with fresh symbols all_13_0, all_13_1, all_13_2,
% 10.10/2.16 | all_13_3, all_13_4 gives:
% 10.10/2.16 | (21) iext(uri_owl_equivalentClass, uri_owl_Class, uri_rdfs_Class) =
% 10.10/2.16 | all_13_1 & iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_owl_Class)
% 10.10/2.16 | = all_13_0 & iext(uri_rdfs_subClassOf, uri_owl_Class, uri_owl_Thing) =
% 10.10/2.16 | all_13_2 & iext(uri_rdf_type, uri_owl_Class, uri_owl_Thing) = all_13_4
% 10.10/2.16 | & iext(uri_rdf_type, uri_owl_Class, uri_owl_Class) = all_13_3 & ( ~
% 10.10/2.16 | (all_13_0 = 0) | ~ (all_13_1 = 0) | ~ (all_13_2 = 0) | ~
% 10.10/2.16 | (all_13_3 = 0) | ~ (all_13_4 = 0))
% 10.10/2.16 |
% 10.10/2.16 | ALPHA: (21) implies:
% 10.10/2.16 | (22) iext(uri_rdf_type, uri_owl_Class, uri_owl_Class) = all_13_3
% 10.10/2.16 | (23) iext(uri_rdf_type, uri_owl_Class, uri_owl_Thing) = all_13_4
% 10.10/2.16 | (24) iext(uri_rdfs_subClassOf, uri_owl_Class, uri_owl_Thing) = all_13_2
% 10.10/2.16 | (25) iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_owl_Class) = all_13_0
% 10.10/2.16 | (26) iext(uri_owl_equivalentClass, uri_owl_Class, uri_rdfs_Class) =
% 10.10/2.16 | all_13_1
% 10.10/2.16 | (27) ~ (all_13_0 = 0) | ~ (all_13_1 = 0) | ~ (all_13_2 = 0) | ~
% 10.10/2.16 | (all_13_3 = 0) | ~ (all_13_4 = 0)
% 10.10/2.16 |
% 10.10/2.16 | GROUND_INST: instantiating (1) with uri_owl_Class, uri_owl_Class, all_13_3,
% 10.10/2.16 | simplifying with (15), (22) gives:
% 10.10/2.16 | (28) all_13_3 = 0 | ? [v0: int] : ( ~ (v0 = 0) & icext(uri_owl_Class,
% 10.10/2.16 | uri_owl_Class) = v0)
% 10.10/2.16 |
% 10.10/2.16 | GROUND_INST: instantiating (1) with uri_owl_Class, uri_owl_Thing, all_13_4,
% 10.10/2.16 | simplifying with (15), (18), (23) gives:
% 10.10/2.16 | (29) all_13_4 = 0 | ? [v0: int] : ( ~ (v0 = 0) & icext(uri_owl_Thing,
% 10.10/2.16 | uri_owl_Class) = v0)
% 10.10/2.16 |
% 10.10/2.16 | GROUND_INST: instantiating (12) with uri_owl_Class, uri_owl_Thing, all_13_2,
% 10.10/2.16 | simplifying with (15), (18), (24) gives:
% 10.10/2.16 | (30) all_13_2 = 0 | ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) &
% 10.10/2.16 | icext(uri_owl_Thing, v0) = v1 & icext(uri_owl_Class, v0) = 0 &
% 10.10/2.16 | $i(v0)) | ? [v0: any] : ? [v1: any] : (ic(uri_owl_Thing) = v1 &
% 10.10/2.16 | ic(uri_owl_Class) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 10.10/2.16 |
% 10.10/2.16 | GROUND_INST: instantiating (12) with uri_rdfs_Datatype, uri_owl_Class,
% 10.10/2.16 | all_13_0, simplifying with (15), (17), (25) gives:
% 10.10/2.17 | (31) all_13_0 = 0 | ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) &
% 10.10/2.17 | icext(uri_rdfs_Datatype, v0) = 0 & icext(uri_owl_Class, v0) = v1 &
% 10.10/2.17 | $i(v0)) | ? [v0: any] : ? [v1: any] : (ic(uri_rdfs_Datatype) = v0
% 10.10/2.17 | & ic(uri_owl_Class) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 10.10/2.17 |
% 10.10/2.17 | GROUND_INST: instantiating (14) with uri_owl_Class, uri_rdfs_Class, all_13_1,
% 10.10/2.17 | simplifying with (15), (16), (26) gives:
% 10.10/2.17 | (32) all_13_1 = 0 | ? [v0: $i] : ? [v1: any] : ? [v2: any] :
% 10.10/2.17 | (icext(uri_rdfs_Class, v0) = v2 & icext(uri_owl_Class, v0) = v1 &
% 10.10/2.17 | $i(v0) & ( ~ (v2 = 0) | ~ (v1 = 0)) & (v2 = 0 | v1 = 0)) | ? [v0:
% 10.10/2.17 | any] : ? [v1: any] : (ic(uri_rdfs_Class) = v1 & ic(uri_owl_Class) =
% 10.10/2.17 | v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 10.10/2.17 |
% 10.10/2.17 | BETA: splitting (29) gives:
% 10.10/2.17 |
% 10.10/2.17 | Case 1:
% 10.10/2.17 | |
% 10.10/2.17 | | (33) all_13_4 = 0
% 10.10/2.17 | |
% 10.10/2.17 | | BETA: splitting (28) gives:
% 10.10/2.17 | |
% 10.10/2.17 | | Case 1:
% 10.10/2.17 | | |
% 10.10/2.17 | | | (34) all_13_3 = 0
% 10.10/2.17 | | |
% 10.10/2.17 | | | BETA: splitting (32) gives:
% 10.10/2.17 | | |
% 10.10/2.17 | | | Case 1:
% 10.10/2.17 | | | |
% 10.10/2.17 | | | | (35) all_13_1 = 0
% 10.10/2.17 | | | |
% 10.10/2.17 | | | | REDUCE: (26), (35) imply:
% 10.10/2.17 | | | | (36) iext(uri_owl_equivalentClass, uri_owl_Class, uri_rdfs_Class) = 0
% 10.10/2.17 | | | |
% 10.10/2.17 | | | | GROUND_INST: instantiating (13) with uri_owl_Class, uri_rdfs_Class,
% 10.10/2.17 | | | | simplifying with (15), (16), (36) gives:
% 10.10/2.17 | | | | (37) ic(uri_rdfs_Class) = 0 & ic(uri_owl_Class) = 0 & ! [v0: $i] :
% 10.10/2.17 | | | | ! [v1: int] : (v1 = 0 | ~ (icext(uri_owl_Class, v0) = v1) | ~
% 10.10/2.17 | | | | $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & icext(uri_rdfs_Class,
% 10.10/2.17 | | | | v0) = v2)) & ! [v0: $i] : ( ~ (icext(uri_owl_Class, v0) =
% 10.10/2.17 | | | | 0) | ~ $i(v0) | icext(uri_rdfs_Class, v0) = 0)
% 10.10/2.17 | | | |
% 10.10/2.17 | | | | BETA: splitting (30) gives:
% 10.10/2.17 | | | |
% 10.10/2.17 | | | | Case 1:
% 10.10/2.17 | | | | |
% 10.10/2.17 | | | | | (38) all_13_2 = 0
% 10.10/2.17 | | | | |
% 10.10/2.17 | | | | | BETA: splitting (27) gives:
% 10.10/2.17 | | | | |
% 10.10/2.17 | | | | | Case 1:
% 10.10/2.17 | | | | | |
% 10.10/2.17 | | | | | | (39) ~ (all_13_0 = 0)
% 10.10/2.17 | | | | | |
% 10.10/2.17 | | | | | | BETA: splitting (31) gives:
% 10.10/2.17 | | | | | |
% 10.10/2.17 | | | | | | Case 1:
% 10.10/2.17 | | | | | | |
% 10.10/2.17 | | | | | | | (40) all_13_0 = 0
% 10.10/2.17 | | | | | | |
% 10.10/2.17 | | | | | | | REDUCE: (39), (40) imply:
% 10.10/2.17 | | | | | | | (41) $false
% 10.10/2.17 | | | | | | |
% 10.10/2.17 | | | | | | | CLOSE: (41) is inconsistent.
% 10.10/2.17 | | | | | | |
% 10.10/2.17 | | | | | | Case 2:
% 10.10/2.17 | | | | | | |
% 10.10/2.17 | | | | | | | (42) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) &
% 10.10/2.18 | | | | | | | icext(uri_rdfs_Datatype, v0) = 0 & icext(uri_owl_Class,
% 10.10/2.18 | | | | | | | v0) = v1 & $i(v0)) | ? [v0: any] : ? [v1: any] :
% 10.10/2.18 | | | | | | | (ic(uri_rdfs_Datatype) = v0 & ic(uri_owl_Class) = v1 & ( ~
% 10.10/2.18 | | | | | | | (v1 = 0) | ~ (v0 = 0)))
% 10.10/2.18 | | | | | | |
% 10.10/2.18 | | | | | | | BETA: splitting (42) gives:
% 10.10/2.18 | | | | | | |
% 10.10/2.18 | | | | | | | Case 1:
% 10.10/2.18 | | | | | | | |
% 10.10/2.18 | | | | | | | | (43) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) &
% 10.10/2.18 | | | | | | | | icext(uri_rdfs_Datatype, v0) = 0 &
% 10.10/2.18 | | | | | | | | icext(uri_owl_Class, v0) = v1 & $i(v0))
% 10.10/2.18 | | | | | | | |
% 10.10/2.18 | | | | | | | | DELTA: instantiating (43) with fresh symbols all_80_0, all_80_1
% 10.10/2.18 | | | | | | | | gives:
% 10.10/2.18 | | | | | | | | (44) ~ (all_80_0 = 0) & icext(uri_rdfs_Datatype, all_80_1) =
% 10.10/2.18 | | | | | | | | 0 & icext(uri_owl_Class, all_80_1) = all_80_0 &
% 10.10/2.18 | | | | | | | | $i(all_80_1)
% 10.10/2.18 | | | | | | | |
% 10.10/2.18 | | | | | | | | ALPHA: (44) implies:
% 10.10/2.18 | | | | | | | | (45) ~ (all_80_0 = 0)
% 10.10/2.18 | | | | | | | | (46) $i(all_80_1)
% 10.10/2.18 | | | | | | | | (47) icext(uri_owl_Class, all_80_1) = all_80_0
% 10.10/2.18 | | | | | | | | (48) icext(uri_rdfs_Datatype, all_80_1) = 0
% 10.10/2.18 | | | | | | | |
% 10.10/2.18 | | | | | | | | GROUND_INST: instantiating (4) with all_80_1, all_80_0,
% 10.10/2.18 | | | | | | | | simplifying with (46), (47) gives:
% 10.10/2.18 | | | | | | | | (49) all_80_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) &
% 10.10/2.18 | | | | | | | | ic(all_80_1) = v0)
% 10.10/2.18 | | | | | | | |
% 10.10/2.18 | | | | | | | | GROUND_INST: instantiating (9) with all_80_1, simplifying with
% 10.10/2.18 | | | | | | | | (46), (48) gives:
% 10.10/2.18 | | | | | | | | (50) idc(all_80_1) = 0
% 10.10/2.18 | | | | | | | |
% 10.10/2.18 | | | | | | | | BETA: splitting (49) gives:
% 10.10/2.18 | | | | | | | |
% 10.10/2.18 | | | | | | | | Case 1:
% 10.10/2.18 | | | | | | | | |
% 10.10/2.18 | | | | | | | | | (51) all_80_0 = 0
% 10.10/2.18 | | | | | | | | |
% 10.10/2.18 | | | | | | | | | REDUCE: (45), (51) imply:
% 10.10/2.18 | | | | | | | | | (52) $false
% 10.10/2.18 | | | | | | | | |
% 10.10/2.18 | | | | | | | | | CLOSE: (52) is inconsistent.
% 10.10/2.18 | | | | | | | | |
% 10.10/2.18 | | | | | | | | Case 2:
% 10.10/2.18 | | | | | | | | |
% 10.10/2.18 | | | | | | | | | (53) ? [v0: int] : ( ~ (v0 = 0) & ic(all_80_1) = v0)
% 10.10/2.18 | | | | | | | | |
% 10.10/2.18 | | | | | | | | | DELTA: instantiating (53) with fresh symbol all_98_0 gives:
% 10.10/2.18 | | | | | | | | | (54) ~ (all_98_0 = 0) & ic(all_80_1) = all_98_0
% 10.10/2.18 | | | | | | | | |
% 10.10/2.18 | | | | | | | | | ALPHA: (54) implies:
% 10.10/2.18 | | | | | | | | | (55) ~ (all_98_0 = 0)
% 10.10/2.18 | | | | | | | | | (56) ic(all_80_1) = all_98_0
% 10.10/2.18 | | | | | | | | |
% 10.10/2.18 | | | | | | | | | GROUND_INST: instantiating (owl_parts_idc_cond_set) with
% 10.10/2.18 | | | | | | | | | all_80_1, simplifying with (46), (50) gives:
% 10.10/2.18 | | | | | | | | | (57) ic(all_80_1) = 0
% 10.10/2.18 | | | | | | | | |
% 10.10/2.18 | | | | | | | | | GROUND_INST: instantiating (20) with all_98_0, 0, all_80_1,
% 10.10/2.18 | | | | | | | | | simplifying with (56), (57) gives:
% 10.10/2.18 | | | | | | | | | (58) all_98_0 = 0
% 10.10/2.18 | | | | | | | | |
% 10.10/2.18 | | | | | | | | | REDUCE: (55), (58) imply:
% 10.10/2.18 | | | | | | | | | (59) $false
% 10.10/2.18 | | | | | | | | |
% 10.10/2.18 | | | | | | | | | CLOSE: (59) is inconsistent.
% 10.10/2.18 | | | | | | | | |
% 10.10/2.18 | | | | | | | | End of split
% 10.10/2.18 | | | | | | | |
% 10.10/2.18 | | | | | | | Case 2:
% 10.10/2.18 | | | | | | | |
% 10.10/2.18 | | | | | | | | (60) ? [v0: any] : ? [v1: any] : (ic(uri_rdfs_Datatype) =
% 10.10/2.18 | | | | | | | | v0 & ic(uri_owl_Class) = v1 & ( ~ (v1 = 0) | ~ (v0 =
% 10.10/2.18 | | | | | | | | 0)))
% 10.10/2.18 | | | | | | | |
% 10.10/2.18 | | | | | | | | DELTA: instantiating (60) with fresh symbols all_80_0, all_80_1
% 10.10/2.18 | | | | | | | | gives:
% 10.10/2.18 | | | | | | | | (61) ic(uri_rdfs_Datatype) = all_80_1 & ic(uri_owl_Class) =
% 10.10/2.18 | | | | | | | | all_80_0 & ( ~ (all_80_0 = 0) | ~ (all_80_1 = 0))
% 10.10/2.18 | | | | | | | |
% 10.10/2.18 | | | | | | | | ALPHA: (61) implies:
% 10.10/2.18 | | | | | | | | (62) ic(uri_owl_Class) = all_80_0
% 10.10/2.19 | | | | | | | | (63) ic(uri_rdfs_Datatype) = all_80_1
% 10.10/2.19 | | | | | | | | (64) ~ (all_80_0 = 0) | ~ (all_80_1 = 0)
% 10.10/2.19 | | | | | | | |
% 10.10/2.19 | | | | | | | | GROUND_INST: instantiating (20) with 0, all_80_0, uri_owl_Class,
% 10.10/2.19 | | | | | | | | simplifying with (2), (62) gives:
% 10.10/2.19 | | | | | | | | (65) all_80_0 = 0
% 10.10/2.19 | | | | | | | |
% 10.10/2.19 | | | | | | | | GROUND_INST: instantiating (20) with 0, all_80_1,
% 10.10/2.19 | | | | | | | | uri_rdfs_Datatype, simplifying with (8), (63)
% 10.10/2.19 | | | | | | | | gives:
% 10.10/2.19 | | | | | | | | (66) all_80_1 = 0
% 10.10/2.19 | | | | | | | |
% 10.10/2.19 | | | | | | | | BETA: splitting (64) gives:
% 10.10/2.19 | | | | | | | |
% 10.10/2.19 | | | | | | | | Case 1:
% 10.10/2.19 | | | | | | | | |
% 10.10/2.19 | | | | | | | | | (67) ~ (all_80_0 = 0)
% 10.10/2.19 | | | | | | | | |
% 10.10/2.19 | | | | | | | | | REDUCE: (65), (67) imply:
% 10.10/2.19 | | | | | | | | | (68) $false
% 10.10/2.19 | | | | | | | | |
% 10.10/2.19 | | | | | | | | | CLOSE: (68) is inconsistent.
% 10.10/2.19 | | | | | | | | |
% 10.10/2.19 | | | | | | | | Case 2:
% 10.10/2.19 | | | | | | | | |
% 10.10/2.19 | | | | | | | | | (69) ~ (all_80_1 = 0)
% 10.10/2.19 | | | | | | | | |
% 10.10/2.19 | | | | | | | | | REDUCE: (66), (69) imply:
% 10.10/2.19 | | | | | | | | | (70) $false
% 10.10/2.19 | | | | | | | | |
% 10.10/2.19 | | | | | | | | | CLOSE: (70) is inconsistent.
% 10.10/2.19 | | | | | | | | |
% 10.10/2.19 | | | | | | | | End of split
% 10.10/2.19 | | | | | | | |
% 10.10/2.19 | | | | | | | End of split
% 10.10/2.19 | | | | | | |
% 10.10/2.19 | | | | | | End of split
% 10.10/2.19 | | | | | |
% 10.10/2.19 | | | | | Case 2:
% 10.10/2.19 | | | | | |
% 10.10/2.19 | | | | | | (71) ~ (all_13_1 = 0) | ~ (all_13_2 = 0) | ~ (all_13_3 = 0) |
% 10.10/2.19 | | | | | | ~ (all_13_4 = 0)
% 10.10/2.19 | | | | | |
% 10.10/2.19 | | | | | | BETA: splitting (71) gives:
% 10.10/2.19 | | | | | |
% 10.10/2.19 | | | | | | Case 1:
% 10.10/2.19 | | | | | | |
% 10.10/2.19 | | | | | | | (72) ~ (all_13_1 = 0)
% 10.10/2.19 | | | | | | |
% 10.10/2.19 | | | | | | | REDUCE: (35), (72) imply:
% 10.10/2.19 | | | | | | | (73) $false
% 10.10/2.19 | | | | | | |
% 10.10/2.19 | | | | | | | CLOSE: (73) is inconsistent.
% 10.10/2.19 | | | | | | |
% 10.10/2.19 | | | | | | Case 2:
% 10.10/2.19 | | | | | | |
% 10.10/2.19 | | | | | | | (74) ~ (all_13_2 = 0) | ~ (all_13_3 = 0) | ~ (all_13_4 = 0)
% 10.10/2.19 | | | | | | |
% 10.10/2.19 | | | | | | | BETA: splitting (74) gives:
% 10.10/2.19 | | | | | | |
% 10.10/2.19 | | | | | | | Case 1:
% 10.10/2.19 | | | | | | | |
% 10.10/2.19 | | | | | | | | (75) ~ (all_13_2 = 0)
% 10.10/2.19 | | | | | | | |
% 10.10/2.19 | | | | | | | | REDUCE: (38), (75) imply:
% 10.10/2.19 | | | | | | | | (76) $false
% 10.10/2.19 | | | | | | | |
% 10.10/2.19 | | | | | | | | CLOSE: (76) is inconsistent.
% 10.10/2.19 | | | | | | | |
% 10.10/2.19 | | | | | | | Case 2:
% 10.10/2.19 | | | | | | | |
% 10.10/2.19 | | | | | | | | (77) ~ (all_13_3 = 0) | ~ (all_13_4 = 0)
% 10.10/2.19 | | | | | | | |
% 10.10/2.19 | | | | | | | | BETA: splitting (77) gives:
% 10.10/2.19 | | | | | | | |
% 10.10/2.19 | | | | | | | | Case 1:
% 10.10/2.19 | | | | | | | | |
% 10.10/2.19 | | | | | | | | | (78) ~ (all_13_3 = 0)
% 10.10/2.19 | | | | | | | | |
% 10.10/2.19 | | | | | | | | | REDUCE: (34), (78) imply:
% 10.10/2.19 | | | | | | | | | (79) $false
% 10.10/2.19 | | | | | | | | |
% 10.10/2.19 | | | | | | | | | CLOSE: (79) is inconsistent.
% 10.10/2.19 | | | | | | | | |
% 10.10/2.19 | | | | | | | | Case 2:
% 10.10/2.19 | | | | | | | | |
% 10.10/2.19 | | | | | | | | | (80) ~ (all_13_4 = 0)
% 10.10/2.19 | | | | | | | | |
% 10.10/2.19 | | | | | | | | | REDUCE: (33), (80) imply:
% 10.10/2.19 | | | | | | | | | (81) $false
% 10.10/2.19 | | | | | | | | |
% 10.10/2.19 | | | | | | | | | CLOSE: (81) is inconsistent.
% 10.10/2.19 | | | | | | | | |
% 10.10/2.19 | | | | | | | | End of split
% 10.10/2.19 | | | | | | | |
% 10.10/2.19 | | | | | | | End of split
% 10.10/2.19 | | | | | | |
% 10.10/2.19 | | | | | | End of split
% 10.10/2.19 | | | | | |
% 10.10/2.19 | | | | | End of split
% 10.10/2.19 | | | | |
% 10.10/2.19 | | | | Case 2:
% 10.10/2.19 | | | | |
% 10.10/2.19 | | | | | (82) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) &
% 10.10/2.19 | | | | | icext(uri_owl_Thing, v0) = v1 & icext(uri_owl_Class, v0) = 0
% 10.10/2.19 | | | | | & $i(v0)) | ? [v0: any] : ? [v1: any] : (ic(uri_owl_Thing)
% 10.10/2.19 | | | | | = v1 & ic(uri_owl_Class) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 10.10/2.19 | | | | |
% 10.10/2.19 | | | | | BETA: splitting (82) gives:
% 10.10/2.19 | | | | |
% 10.10/2.19 | | | | | Case 1:
% 10.10/2.19 | | | | | |
% 10.10/2.19 | | | | | | (83) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) &
% 10.10/2.19 | | | | | | icext(uri_owl_Thing, v0) = v1 & icext(uri_owl_Class, v0) =
% 10.10/2.19 | | | | | | 0 & $i(v0))
% 10.10/2.19 | | | | | |
% 10.10/2.19 | | | | | | DELTA: instantiating (83) with fresh symbols all_83_0, all_83_1
% 10.10/2.19 | | | | | | gives:
% 10.10/2.19 | | | | | | (84) ~ (all_83_0 = 0) & icext(uri_owl_Thing, all_83_1) =
% 10.10/2.19 | | | | | | all_83_0 & icext(uri_owl_Class, all_83_1) = 0 & $i(all_83_1)
% 10.10/2.19 | | | | | |
% 10.10/2.19 | | | | | | ALPHA: (84) implies:
% 10.10/2.19 | | | | | | (85) ~ (all_83_0 = 0)
% 10.10/2.19 | | | | | | (86) $i(all_83_1)
% 10.10/2.19 | | | | | | (87) icext(uri_owl_Thing, all_83_1) = all_83_0
% 10.10/2.19 | | | | | |
% 10.10/2.19 | | | | | | GROUND_INST: instantiating (11) with all_83_1, all_83_0, simplifying
% 10.10/2.19 | | | | | | with (86), (87) gives:
% 10.10/2.19 | | | | | | (88) all_83_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) & ir(all_83_1) =
% 10.10/2.19 | | | | | | v0)
% 10.10/2.19 | | | | | |
% 10.10/2.19 | | | | | | BETA: splitting (88) gives:
% 10.10/2.19 | | | | | |
% 10.10/2.19 | | | | | | Case 1:
% 10.10/2.20 | | | | | | |
% 10.10/2.20 | | | | | | | (89) all_83_0 = 0
% 10.10/2.20 | | | | | | |
% 10.10/2.20 | | | | | | | REDUCE: (85), (89) imply:
% 10.10/2.20 | | | | | | | (90) $false
% 10.10/2.20 | | | | | | |
% 10.10/2.20 | | | | | | | CLOSE: (90) is inconsistent.
% 10.10/2.20 | | | | | | |
% 10.10/2.20 | | | | | | Case 2:
% 10.10/2.20 | | | | | | |
% 10.10/2.20 | | | | | | | (91) ? [v0: int] : ( ~ (v0 = 0) & ir(all_83_1) = v0)
% 10.10/2.20 | | | | | | |
% 10.10/2.20 | | | | | | | DELTA: instantiating (91) with fresh symbol all_95_0 gives:
% 10.10/2.20 | | | | | | | (92) ~ (all_95_0 = 0) & ir(all_83_1) = all_95_0
% 10.10/2.20 | | | | | | |
% 10.10/2.20 | | | | | | | ALPHA: (92) implies:
% 10.10/2.20 | | | | | | | (93) ~ (all_95_0 = 0)
% 10.10/2.20 | | | | | | | (94) ir(all_83_1) = all_95_0
% 10.10/2.20 | | | | | | |
% 10.10/2.20 | | | | | | | GROUND_INST: instantiating (simple_ir) with all_83_1, all_95_0,
% 10.10/2.20 | | | | | | | simplifying with (86), (94) gives:
% 10.10/2.20 | | | | | | | (95) all_95_0 = 0
% 10.10/2.20 | | | | | | |
% 10.10/2.20 | | | | | | | REDUCE: (93), (95) imply:
% 10.10/2.20 | | | | | | | (96) $false
% 10.10/2.20 | | | | | | |
% 10.10/2.20 | | | | | | | CLOSE: (96) is inconsistent.
% 10.10/2.20 | | | | | | |
% 10.10/2.20 | | | | | | End of split
% 10.10/2.20 | | | | | |
% 10.10/2.20 | | | | | Case 2:
% 10.10/2.20 | | | | | |
% 10.10/2.20 | | | | | | (97) ? [v0: any] : ? [v1: any] : (ic(uri_owl_Thing) = v1 &
% 10.10/2.20 | | | | | | ic(uri_owl_Class) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 10.10/2.20 | | | | | |
% 10.10/2.20 | | | | | | DELTA: instantiating (97) with fresh symbols all_83_0, all_83_1
% 10.10/2.20 | | | | | | gives:
% 10.10/2.20 | | | | | | (98) ic(uri_owl_Thing) = all_83_0 & ic(uri_owl_Class) = all_83_1
% 10.10/2.20 | | | | | | & ( ~ (all_83_0 = 0) | ~ (all_83_1 = 0))
% 10.10/2.20 | | | | | |
% 10.10/2.20 | | | | | | ALPHA: (98) implies:
% 10.10/2.20 | | | | | | (99) ic(uri_owl_Class) = all_83_1
% 10.10/2.20 | | | | | | (100) ic(uri_owl_Thing) = all_83_0
% 10.10/2.20 | | | | | | (101) ~ (all_83_0 = 0) | ~ (all_83_1 = 0)
% 10.10/2.20 | | | | | |
% 10.10/2.20 | | | | | | GROUND_INST: instantiating (20) with 0, all_83_1, uri_owl_Class,
% 10.10/2.20 | | | | | | simplifying with (2), (99) gives:
% 10.10/2.20 | | | | | | (102) all_83_1 = 0
% 10.10/2.20 | | | | | |
% 10.37/2.20 | | | | | | GROUND_INST: instantiating (20) with 0, all_83_0, uri_owl_Thing,
% 10.37/2.20 | | | | | | simplifying with (10), (100) gives:
% 10.37/2.20 | | | | | | (103) all_83_0 = 0
% 10.37/2.20 | | | | | |
% 10.37/2.20 | | | | | | BETA: splitting (101) gives:
% 10.37/2.20 | | | | | |
% 10.37/2.20 | | | | | | Case 1:
% 10.37/2.20 | | | | | | |
% 10.37/2.20 | | | | | | | (104) ~ (all_83_0 = 0)
% 10.37/2.20 | | | | | | |
% 10.37/2.20 | | | | | | | REDUCE: (103), (104) imply:
% 10.37/2.20 | | | | | | | (105) $false
% 10.37/2.20 | | | | | | |
% 10.37/2.20 | | | | | | | CLOSE: (105) is inconsistent.
% 10.37/2.20 | | | | | | |
% 10.37/2.20 | | | | | | Case 2:
% 10.37/2.20 | | | | | | |
% 10.37/2.20 | | | | | | | (106) ~ (all_83_1 = 0)
% 10.37/2.20 | | | | | | |
% 10.37/2.20 | | | | | | | REDUCE: (102), (106) imply:
% 10.37/2.20 | | | | | | | (107) $false
% 10.37/2.20 | | | | | | |
% 10.37/2.20 | | | | | | | CLOSE: (107) is inconsistent.
% 10.37/2.20 | | | | | | |
% 10.37/2.20 | | | | | | End of split
% 10.37/2.20 | | | | | |
% 10.37/2.20 | | | | | End of split
% 10.37/2.20 | | | | |
% 10.37/2.20 | | | | End of split
% 10.37/2.20 | | | |
% 10.37/2.20 | | | Case 2:
% 10.37/2.20 | | | |
% 10.37/2.20 | | | | (108) ? [v0: $i] : ? [v1: any] : ? [v2: any] :
% 10.37/2.20 | | | | (icext(uri_rdfs_Class, v0) = v2 & icext(uri_owl_Class, v0) = v1
% 10.37/2.20 | | | | & $i(v0) & ( ~ (v2 = 0) | ~ (v1 = 0)) & (v2 = 0 | v1 = 0)) |
% 10.37/2.20 | | | | ? [v0: any] : ? [v1: any] : (ic(uri_rdfs_Class) = v1 &
% 10.37/2.20 | | | | ic(uri_owl_Class) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 10.37/2.20 | | | |
% 10.37/2.20 | | | | BETA: splitting (108) gives:
% 10.37/2.20 | | | |
% 10.37/2.20 | | | | Case 1:
% 10.37/2.20 | | | | |
% 10.37/2.20 | | | | | (109) ? [v0: $i] : ? [v1: any] : ? [v2: any] :
% 10.37/2.20 | | | | | (icext(uri_rdfs_Class, v0) = v2 & icext(uri_owl_Class, v0) =
% 10.37/2.20 | | | | | v1 & $i(v0) & ( ~ (v2 = 0) | ~ (v1 = 0)) & (v2 = 0 | v1 =
% 10.37/2.20 | | | | | 0))
% 10.37/2.20 | | | | |
% 10.37/2.20 | | | | | DELTA: instantiating (109) with fresh symbols all_57_0, all_57_1,
% 10.37/2.21 | | | | | all_57_2 gives:
% 10.37/2.21 | | | | | (110) icext(uri_rdfs_Class, all_57_2) = all_57_0 &
% 10.37/2.21 | | | | | icext(uri_owl_Class, all_57_2) = all_57_1 & $i(all_57_2) & (
% 10.37/2.21 | | | | | ~ (all_57_0 = 0) | ~ (all_57_1 = 0)) & (all_57_0 = 0 |
% 10.37/2.21 | | | | | all_57_1 = 0)
% 10.37/2.21 | | | | |
% 10.37/2.21 | | | | | ALPHA: (110) implies:
% 10.37/2.21 | | | | | (111) $i(all_57_2)
% 10.37/2.21 | | | | | (112) icext(uri_owl_Class, all_57_2) = all_57_1
% 10.37/2.21 | | | | | (113) icext(uri_rdfs_Class, all_57_2) = all_57_0
% 10.37/2.21 | | | | | (114) all_57_0 = 0 | all_57_1 = 0
% 10.37/2.21 | | | | | (115) ~ (all_57_0 = 0) | ~ (all_57_1 = 0)
% 10.37/2.21 | | | | |
% 10.37/2.21 | | | | | GROUND_INST: instantiating (4) with all_57_2, all_57_1, simplifying
% 10.37/2.21 | | | | | with (111), (112) gives:
% 10.37/2.21 | | | | | (116) all_57_1 = 0 | ? [v0: int] : ( ~ (v0 = 0) & ic(all_57_2) =
% 10.37/2.21 | | | | | v0)
% 10.37/2.21 | | | | |
% 10.37/2.21 | | | | | GROUND_INST: instantiating (7) with all_57_2, all_57_0, simplifying
% 10.37/2.21 | | | | | with (111), (113) gives:
% 10.37/2.21 | | | | | (117) all_57_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) & ic(all_57_2) =
% 10.37/2.21 | | | | | v0)
% 10.37/2.21 | | | | |
% 10.37/2.21 | | | | | BETA: splitting (114) gives:
% 10.37/2.21 | | | | |
% 10.37/2.21 | | | | | Case 1:
% 10.37/2.21 | | | | | |
% 10.37/2.21 | | | | | | (118) all_57_0 = 0
% 10.37/2.21 | | | | | |
% 10.37/2.21 | | | | | | REDUCE: (113), (118) imply:
% 10.37/2.21 | | | | | | (119) icext(uri_rdfs_Class, all_57_2) = 0
% 10.37/2.21 | | | | | |
% 10.37/2.21 | | | | | | BETA: splitting (115) gives:
% 10.37/2.21 | | | | | |
% 10.37/2.21 | | | | | | Case 1:
% 10.37/2.21 | | | | | | |
% 10.37/2.21 | | | | | | | (120) ~ (all_57_0 = 0)
% 10.37/2.21 | | | | | | |
% 10.37/2.21 | | | | | | | REDUCE: (118), (120) imply:
% 10.37/2.21 | | | | | | | (121) $false
% 10.37/2.21 | | | | | | |
% 10.37/2.21 | | | | | | | CLOSE: (121) is inconsistent.
% 10.37/2.21 | | | | | | |
% 10.37/2.21 | | | | | | Case 2:
% 10.37/2.21 | | | | | | |
% 10.37/2.21 | | | | | | | (122) ~ (all_57_1 = 0)
% 10.37/2.21 | | | | | | |
% 10.37/2.21 | | | | | | | BETA: splitting (116) gives:
% 10.37/2.21 | | | | | | |
% 10.37/2.21 | | | | | | | Case 1:
% 10.37/2.21 | | | | | | | |
% 10.37/2.21 | | | | | | | | (123) all_57_1 = 0
% 10.37/2.21 | | | | | | | |
% 10.37/2.21 | | | | | | | | REDUCE: (122), (123) imply:
% 10.37/2.21 | | | | | | | | (124) $false
% 10.37/2.21 | | | | | | | |
% 10.37/2.21 | | | | | | | | CLOSE: (124) is inconsistent.
% 10.37/2.21 | | | | | | | |
% 10.37/2.21 | | | | | | | Case 2:
% 10.37/2.21 | | | | | | | |
% 10.37/2.21 | | | | | | | | (125) ? [v0: int] : ( ~ (v0 = 0) & ic(all_57_2) = v0)
% 10.37/2.21 | | | | | | | |
% 10.37/2.21 | | | | | | | | DELTA: instantiating (125) with fresh symbol all_102_0 gives:
% 10.37/2.21 | | | | | | | | (126) ~ (all_102_0 = 0) & ic(all_57_2) = all_102_0
% 10.37/2.21 | | | | | | | |
% 10.37/2.21 | | | | | | | | ALPHA: (126) implies:
% 10.37/2.21 | | | | | | | | (127) ~ (all_102_0 = 0)
% 10.37/2.21 | | | | | | | | (128) ic(all_57_2) = all_102_0
% 10.37/2.21 | | | | | | | |
% 10.37/2.21 | | | | | | | | GROUND_INST: instantiating (6) with all_57_2, simplifying with
% 10.37/2.21 | | | | | | | | (111), (119) gives:
% 10.37/2.21 | | | | | | | | (129) ic(all_57_2) = 0
% 10.37/2.21 | | | | | | | |
% 10.37/2.21 | | | | | | | | GROUND_INST: instantiating (20) with all_102_0, 0, all_57_2,
% 10.37/2.21 | | | | | | | | simplifying with (128), (129) gives:
% 10.37/2.21 | | | | | | | | (130) all_102_0 = 0
% 10.37/2.21 | | | | | | | |
% 10.37/2.21 | | | | | | | | REDUCE: (127), (130) imply:
% 10.37/2.21 | | | | | | | | (131) $false
% 10.37/2.21 | | | | | | | |
% 10.37/2.21 | | | | | | | | CLOSE: (131) is inconsistent.
% 10.37/2.21 | | | | | | | |
% 10.37/2.21 | | | | | | | End of split
% 10.37/2.21 | | | | | | |
% 10.37/2.21 | | | | | | End of split
% 10.37/2.21 | | | | | |
% 10.37/2.21 | | | | | Case 2:
% 10.37/2.21 | | | | | |
% 10.37/2.21 | | | | | | (132) all_57_1 = 0
% 10.37/2.21 | | | | | | (133) ~ (all_57_0 = 0)
% 10.37/2.21 | | | | | |
% 10.37/2.21 | | | | | | REDUCE: (112), (132) imply:
% 10.37/2.21 | | | | | | (134) icext(uri_owl_Class, all_57_2) = 0
% 10.37/2.21 | | | | | |
% 10.37/2.21 | | | | | | BETA: splitting (117) gives:
% 10.37/2.21 | | | | | |
% 10.37/2.21 | | | | | | Case 1:
% 10.37/2.21 | | | | | | |
% 10.37/2.21 | | | | | | | (135) all_57_0 = 0
% 10.37/2.21 | | | | | | |
% 10.37/2.21 | | | | | | | REDUCE: (133), (135) imply:
% 10.37/2.21 | | | | | | | (136) $false
% 10.37/2.21 | | | | | | |
% 10.37/2.21 | | | | | | | CLOSE: (136) is inconsistent.
% 10.37/2.21 | | | | | | |
% 10.37/2.21 | | | | | | Case 2:
% 10.37/2.21 | | | | | | |
% 10.37/2.21 | | | | | | | (137) ? [v0: int] : ( ~ (v0 = 0) & ic(all_57_2) = v0)
% 10.37/2.21 | | | | | | |
% 10.37/2.21 | | | | | | | DELTA: instantiating (137) with fresh symbol all_98_0 gives:
% 10.37/2.21 | | | | | | | (138) ~ (all_98_0 = 0) & ic(all_57_2) = all_98_0
% 10.37/2.21 | | | | | | |
% 10.37/2.21 | | | | | | | ALPHA: (138) implies:
% 10.37/2.22 | | | | | | | (139) ~ (all_98_0 = 0)
% 10.37/2.22 | | | | | | | (140) ic(all_57_2) = all_98_0
% 10.37/2.22 | | | | | | |
% 10.37/2.22 | | | | | | | GROUND_INST: instantiating (3) with all_57_2, simplifying with
% 10.37/2.22 | | | | | | | (111), (134) gives:
% 10.37/2.22 | | | | | | | (141) ic(all_57_2) = 0
% 10.37/2.22 | | | | | | |
% 10.37/2.22 | | | | | | | GROUND_INST: instantiating (20) with all_98_0, 0, all_57_2,
% 10.37/2.22 | | | | | | | simplifying with (140), (141) gives:
% 10.37/2.22 | | | | | | | (142) all_98_0 = 0
% 10.37/2.22 | | | | | | |
% 10.37/2.22 | | | | | | | REDUCE: (139), (142) imply:
% 10.37/2.22 | | | | | | | (143) $false
% 10.37/2.22 | | | | | | |
% 10.37/2.22 | | | | | | | CLOSE: (143) is inconsistent.
% 10.37/2.22 | | | | | | |
% 10.37/2.22 | | | | | | End of split
% 10.37/2.22 | | | | | |
% 10.37/2.22 | | | | | End of split
% 10.37/2.22 | | | | |
% 10.37/2.22 | | | | Case 2:
% 10.37/2.22 | | | | |
% 10.37/2.22 | | | | | (144) ? [v0: any] : ? [v1: any] : (ic(uri_rdfs_Class) = v1 &
% 10.37/2.22 | | | | | ic(uri_owl_Class) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 10.37/2.22 | | | | |
% 10.37/2.22 | | | | | DELTA: instantiating (144) with fresh symbols all_57_0, all_57_1
% 10.37/2.22 | | | | | gives:
% 10.37/2.22 | | | | | (145) ic(uri_rdfs_Class) = all_57_0 & ic(uri_owl_Class) = all_57_1
% 10.37/2.22 | | | | | & ( ~ (all_57_0 = 0) | ~ (all_57_1 = 0))
% 10.37/2.22 | | | | |
% 10.37/2.22 | | | | | ALPHA: (145) implies:
% 10.37/2.22 | | | | | (146) ic(uri_owl_Class) = all_57_1
% 10.37/2.22 | | | | | (147) ic(uri_rdfs_Class) = all_57_0
% 10.37/2.22 | | | | | (148) ~ (all_57_0 = 0) | ~ (all_57_1 = 0)
% 10.37/2.22 | | | | |
% 10.37/2.22 | | | | | GROUND_INST: instantiating (20) with 0, all_57_1, uri_owl_Class,
% 10.37/2.22 | | | | | simplifying with (2), (146) gives:
% 10.37/2.22 | | | | | (149) all_57_1 = 0
% 10.37/2.22 | | | | |
% 10.37/2.22 | | | | | GROUND_INST: instantiating (20) with 0, all_57_0, uri_rdfs_Class,
% 10.37/2.22 | | | | | simplifying with (5), (147) gives:
% 10.37/2.22 | | | | | (150) all_57_0 = 0
% 10.37/2.22 | | | | |
% 10.37/2.22 | | | | | BETA: splitting (148) gives:
% 10.37/2.22 | | | | |
% 10.37/2.22 | | | | | Case 1:
% 10.37/2.22 | | | | | |
% 10.37/2.22 | | | | | | (151) ~ (all_57_0 = 0)
% 10.37/2.22 | | | | | |
% 10.37/2.22 | | | | | | REDUCE: (150), (151) imply:
% 10.37/2.22 | | | | | | (152) $false
% 10.37/2.22 | | | | | |
% 10.37/2.22 | | | | | | CLOSE: (152) is inconsistent.
% 10.37/2.22 | | | | | |
% 10.37/2.22 | | | | | Case 2:
% 10.37/2.22 | | | | | |
% 10.37/2.22 | | | | | | (153) ~ (all_57_1 = 0)
% 10.37/2.22 | | | | | |
% 10.37/2.22 | | | | | | REDUCE: (149), (153) imply:
% 10.37/2.22 | | | | | | (154) $false
% 10.37/2.22 | | | | | |
% 10.37/2.22 | | | | | | CLOSE: (154) is inconsistent.
% 10.37/2.22 | | | | | |
% 10.37/2.22 | | | | | End of split
% 10.37/2.22 | | | | |
% 10.37/2.22 | | | | End of split
% 10.37/2.22 | | | |
% 10.37/2.22 | | | End of split
% 10.37/2.22 | | |
% 10.37/2.22 | | Case 2:
% 10.37/2.22 | | |
% 10.37/2.22 | | | (155) ? [v0: int] : ( ~ (v0 = 0) & icext(uri_owl_Class, uri_owl_Class)
% 10.37/2.22 | | | = v0)
% 10.37/2.22 | | |
% 10.37/2.22 | | | DELTA: instantiating (155) with fresh symbol all_41_0 gives:
% 10.37/2.22 | | | (156) ~ (all_41_0 = 0) & icext(uri_owl_Class, uri_owl_Class) =
% 10.37/2.22 | | | all_41_0
% 10.37/2.22 | | |
% 10.37/2.22 | | | ALPHA: (156) implies:
% 10.37/2.22 | | | (157) ~ (all_41_0 = 0)
% 10.37/2.22 | | | (158) icext(uri_owl_Class, uri_owl_Class) = all_41_0
% 10.37/2.22 | | |
% 10.37/2.22 | | | GROUND_INST: instantiating (4) with uri_owl_Class, all_41_0, simplifying
% 10.37/2.22 | | | with (15), (158) gives:
% 10.37/2.22 | | | (159) all_41_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) & ic(uri_owl_Class) =
% 10.37/2.22 | | | v0)
% 10.37/2.22 | | |
% 10.37/2.22 | | | BETA: splitting (159) gives:
% 10.37/2.22 | | |
% 10.37/2.22 | | | Case 1:
% 10.37/2.22 | | | |
% 10.37/2.22 | | | | (160) all_41_0 = 0
% 10.37/2.22 | | | |
% 10.37/2.22 | | | | REDUCE: (157), (160) imply:
% 10.37/2.22 | | | | (161) $false
% 10.37/2.22 | | | |
% 10.37/2.22 | | | | CLOSE: (161) is inconsistent.
% 10.37/2.22 | | | |
% 10.37/2.22 | | | Case 2:
% 10.37/2.22 | | | |
% 10.37/2.22 | | | | (162) ? [v0: int] : ( ~ (v0 = 0) & ic(uri_owl_Class) = v0)
% 10.37/2.22 | | | |
% 10.37/2.22 | | | | DELTA: instantiating (162) with fresh symbol all_54_0 gives:
% 10.37/2.22 | | | | (163) ~ (all_54_0 = 0) & ic(uri_owl_Class) = all_54_0
% 10.37/2.22 | | | |
% 10.37/2.22 | | | | ALPHA: (163) implies:
% 10.37/2.23 | | | | (164) ~ (all_54_0 = 0)
% 10.37/2.23 | | | | (165) ic(uri_owl_Class) = all_54_0
% 10.37/2.23 | | | |
% 10.37/2.23 | | | | GROUND_INST: instantiating (20) with 0, all_54_0, uri_owl_Class,
% 10.37/2.23 | | | | simplifying with (2), (165) gives:
% 10.37/2.23 | | | | (166) all_54_0 = 0
% 10.37/2.23 | | | |
% 10.37/2.23 | | | | REDUCE: (164), (166) imply:
% 10.37/2.23 | | | | (167) $false
% 10.37/2.23 | | | |
% 10.37/2.23 | | | | CLOSE: (167) is inconsistent.
% 10.37/2.23 | | | |
% 10.37/2.23 | | | End of split
% 10.37/2.23 | | |
% 10.37/2.23 | | End of split
% 10.37/2.23 | |
% 10.37/2.23 | Case 2:
% 10.37/2.23 | |
% 10.37/2.23 | | (168) ? [v0: int] : ( ~ (v0 = 0) & icext(uri_owl_Thing, uri_owl_Class) =
% 10.37/2.23 | | v0)
% 10.37/2.23 | |
% 10.37/2.23 | | DELTA: instantiating (168) with fresh symbol all_22_0 gives:
% 10.37/2.23 | | (169) ~ (all_22_0 = 0) & icext(uri_owl_Thing, uri_owl_Class) = all_22_0
% 10.37/2.23 | |
% 10.37/2.23 | | ALPHA: (169) implies:
% 10.37/2.23 | | (170) ~ (all_22_0 = 0)
% 10.37/2.23 | | (171) icext(uri_owl_Thing, uri_owl_Class) = all_22_0
% 10.37/2.23 | |
% 10.37/2.23 | | GROUND_INST: instantiating (11) with uri_owl_Class, all_22_0, simplifying
% 10.37/2.23 | | with (15), (171) gives:
% 10.37/2.23 | | (172) all_22_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) & ir(uri_owl_Class) =
% 10.37/2.23 | | v0)
% 10.37/2.23 | |
% 10.37/2.23 | | BETA: splitting (172) gives:
% 10.37/2.23 | |
% 10.37/2.23 | | Case 1:
% 10.37/2.23 | | |
% 10.37/2.23 | | | (173) all_22_0 = 0
% 10.37/2.23 | | |
% 10.37/2.23 | | | REDUCE: (170), (173) imply:
% 10.37/2.23 | | | (174) $false
% 10.37/2.23 | | |
% 10.37/2.23 | | | CLOSE: (174) is inconsistent.
% 10.37/2.23 | | |
% 10.37/2.23 | | Case 2:
% 10.37/2.23 | | |
% 10.37/2.23 | | | (175) ? [v0: int] : ( ~ (v0 = 0) & ir(uri_owl_Class) = v0)
% 10.37/2.23 | | |
% 10.37/2.23 | | | DELTA: instantiating (175) with fresh symbol all_35_0 gives:
% 10.37/2.23 | | | (176) ~ (all_35_0 = 0) & ir(uri_owl_Class) = all_35_0
% 10.37/2.23 | | |
% 10.37/2.23 | | | ALPHA: (176) implies:
% 10.37/2.23 | | | (177) ~ (all_35_0 = 0)
% 10.37/2.23 | | | (178) ir(uri_owl_Class) = all_35_0
% 10.37/2.23 | | |
% 10.37/2.23 | | | GROUND_INST: instantiating (simple_ir) with uri_owl_Class, all_35_0,
% 10.37/2.23 | | | simplifying with (15), (178) gives:
% 10.37/2.23 | | | (179) all_35_0 = 0
% 10.37/2.23 | | |
% 10.37/2.23 | | | REDUCE: (177), (179) imply:
% 10.37/2.23 | | | (180) $false
% 10.37/2.23 | | |
% 10.37/2.23 | | | CLOSE: (180) is inconsistent.
% 10.37/2.23 | | |
% 10.37/2.23 | | End of split
% 10.37/2.23 | |
% 10.37/2.23 | End of split
% 10.37/2.23 |
% 10.37/2.23 End of proof
% 10.37/2.23 % SZS output end Proof for theBenchmark
% 10.37/2.23
% 10.37/2.23 1638ms
%------------------------------------------------------------------------------