TSTP Solution File: SWB074+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SWB074+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n006.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 20:12:02 EDT 2023
% Result : Theorem 83.21s 11.79s
% Output : Proof 103.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWB074+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.35 % Computer : n006.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Aug 27 06:42:52 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.62 ________ _____
% 0.20/0.62 ___ __ \_________(_)________________________________
% 0.20/0.62 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.20/0.62 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.20/0.62 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.20/0.62
% 0.20/0.62 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.62 (2023-06-19)
% 0.20/0.62
% 0.20/0.62 (c) Philipp Rümmer, 2009-2023
% 0.20/0.62 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.62 Amanda Stjerna.
% 0.20/0.62 Free software under BSD-3-Clause.
% 0.20/0.62
% 0.20/0.62 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.62
% 0.20/0.62 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.20/0.63 Running up to 7 provers in parallel.
% 0.20/0.65 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.65 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.65 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.65 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.20/0.65 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.65 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.20/0.65 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 10.21/2.13 Prover 4: Preprocessing ...
% 10.21/2.21 Prover 1: Preprocessing ...
% 10.21/2.22 Prover 2: Preprocessing ...
% 10.21/2.22 Prover 0: Preprocessing ...
% 10.21/2.22 Prover 6: Preprocessing ...
% 10.21/2.22 Prover 3: Preprocessing ...
% 10.21/2.23 Prover 5: Preprocessing ...
% 28.71/4.60 Prover 5: Proving ...
% 28.71/4.61 Prover 2: Proving ...
% 33.09/5.19 Prover 3: Constructing countermodel ...
% 34.13/5.31 Prover 1: Constructing countermodel ...
% 34.18/5.32 Prover 6: Proving ...
% 73.33/10.54 Prover 2: stopped
% 73.33/10.55 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 78.59/11.19 Prover 7: Preprocessing ...
% 82.60/11.75 Prover 7: Warning: ignoring some quantifiers
% 82.60/11.78 Prover 3: proved (11134ms)
% 82.60/11.78
% 83.21/11.79 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 83.21/11.79
% 83.21/11.79 Prover 6: stopped
% 83.21/11.80 Prover 5: stopped
% 83.21/11.81 Prover 0: stopped
% 83.21/11.82 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 83.21/11.82 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 83.21/11.82 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 83.21/11.82 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 83.21/11.84 Prover 7: Constructing countermodel ...
% 88.32/12.52 Prover 13: Preprocessing ...
% 88.32/12.53 Prover 10: Preprocessing ...
% 88.32/12.53 Prover 11: Preprocessing ...
% 88.77/12.59 Prover 8: Preprocessing ...
% 92.51/13.10 Prover 13: Warning: ignoring some quantifiers
% 93.40/13.20 Prover 13: Constructing countermodel ...
% 93.40/13.21 Prover 10: Warning: ignoring some quantifiers
% 93.40/13.34 Prover 10: Constructing countermodel ...
% 96.82/13.64 Prover 8: Warning: ignoring some quantifiers
% 97.12/13.73 Prover 8: Constructing countermodel ...
% 102.88/14.47 Prover 1: Found proof (size 21)
% 102.88/14.47 Prover 1: proved (13826ms)
% 102.88/14.47 Prover 7: stopped
% 102.88/14.47 Prover 8: stopped
% 102.88/14.47 Prover 13: stopped
% 102.88/14.47 Prover 4: stopped
% 102.88/14.47 Prover 10: stopped
% 102.88/14.48 Prover 11: stopped
% 102.88/14.48
% 102.88/14.48 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 102.88/14.48
% 102.88/14.48 % SZS output start Proof for theBenchmark
% 102.88/14.49 Assumptions after simplification:
% 102.88/14.49 ---------------------------------
% 102.88/14.49
% 102.88/14.49 (conclusion_rdfbased_sem_prop_topdataproperty_ext_lo)
% 102.88/14.52 $i(uri_ex_y) & $i(uri_ex_x) & $i(uri_owl_topDataProperty) & ? [v0: int] : ( ~
% 103.34/14.52 (v0 = 0) & iext(uri_owl_topDataProperty, uri_ex_x, uri_ex_y) = v0)
% 103.34/14.52
% 103.34/14.52 (owl_parts_lv_def)
% 103.34/14.52 $i(uri_rdfs_Literal) & $i(uri_rdf_type) & ! [v0: $i] : ! [v1: int] : (v1 = 0
% 103.34/14.52 | ~ (iext(uri_rdf_type, v0, uri_rdfs_Literal) = v1) | ~ $i(v0) | ? [v2:
% 103.34/14.52 int] : ( ~ (v2 = 0) & lv(v0) = v2)) & ! [v0: $i] : ( ~
% 103.34/14.52 (iext(uri_rdf_type, v0, uri_rdfs_Literal) = 0) | ~ $i(v0) | lv(v0) = 0)
% 103.34/14.52
% 103.34/14.52 (owl_prop_topdataproperty_ext)
% 103.34/14.53 $i(uri_owl_topDataProperty) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 =
% 103.34/14.53 0 | ~ (iext(uri_owl_topDataProperty, v0, v1) = v2) | ~ $i(v1) | ~ $i(v0)
% 103.34/14.53 | ? [v3: any] : ? [v4: any] : (lv(v1) = v4 & ir(v0) = v3 & ( ~ (v4 = 0) |
% 103.34/14.53 ~ (v3 = 0)))) & ! [v0: $i] : ! [v1: $i] : ( ~
% 103.34/14.53 (iext(uri_owl_topDataProperty, v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) |
% 103.34/14.53 (lv(v1) = 0 & ir(v0) = 0))
% 103.34/14.53
% 103.34/14.53 (premise_rdfbased_sem_prop_topdataproperty_ext_lo)
% 103.34/14.53 iext(uri_rdf_type, uri_ex_y, uri_rdfs_Literal) = 0 & iext(uri_rdf_type,
% 103.34/14.53 uri_ex_x, uri_owl_Thing) = 0 & $i(uri_ex_y) & $i(uri_ex_x) &
% 103.34/14.53 $i(uri_owl_Thing) & $i(uri_rdfs_Literal) & $i(uri_rdf_type)
% 103.34/14.53
% 103.34/14.53 (simple_ir)
% 103.34/14.53 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (ir(v0) = v1) | ~ $i(v0))
% 103.34/14.53
% 103.34/14.53 (function-axioms)
% 103.34/14.53 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 103.34/14.53 [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (iext(v4, v3, v2) = v1) | ~ (iext(v4,
% 103.34/14.53 v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] :
% 103.34/14.53 (v1 = v0 | ~ (literal_typed(v3, v2) = v1) | ~ (literal_typed(v3, v2) = v0))
% 103.34/14.53 & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 103.34/14.54 [v3: $i] : (v1 = v0 | ~ (icext(v3, v2) = v1) | ~ (icext(v3, v2) = v0)) & !
% 103.34/14.54 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0
% 103.34/14.54 | ~ (ioxp(v2) = v1) | ~ (ioxp(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 103.34/14.54 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (ix(v2) = v1) | ~
% 103.34/14.54 (ix(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 103.34/14.54 ! [v2: $i] : (v1 = v0 | ~ (iodp(v2) = v1) | ~ (iodp(v2) = v0)) & ! [v0:
% 103.34/14.54 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 103.34/14.54 ~ (ioap(v2) = v1) | ~ (ioap(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 103.34/14.54 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (idc(v2) = v1) | ~
% 103.34/14.54 (idc(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 103.34/14.54 ! [v2: $i] : (v1 = v0 | ~ (ic(v2) = v1) | ~ (ic(v2) = v0)) & ! [v0:
% 103.34/14.54 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 103.34/14.54 ~ (lv(v2) = v1) | ~ (lv(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 103.34/14.54 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (ir(v2) = v1) | ~ (ir(v2)
% 103.34/14.54 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 103.34/14.54 $i] : (v1 = v0 | ~ (ip(v2) = v1) | ~ (ip(v2) = v0))
% 103.34/14.54
% 103.34/14.54 Further assumptions not needed in the proof:
% 103.34/14.54 --------------------------------------------
% 103.34/14.54 owl_bool_complementof_class, owl_bool_datatypecomplementof,
% 103.34/14.54 owl_bool_intersectionof_class_000, owl_bool_intersectionof_class_001,
% 103.34/14.54 owl_bool_intersectionof_class_002, owl_bool_intersectionof_class_003,
% 103.34/14.54 owl_bool_intersectionof_dtype_001, owl_bool_intersectionof_dtype_002,
% 103.34/14.54 owl_bool_intersectionof_dtype_003, owl_bool_unionof_class_000,
% 103.34/14.54 owl_bool_unionof_class_001, owl_bool_unionof_class_002,
% 103.34/14.54 owl_bool_unionof_class_003, owl_bool_unionof_dtype_001,
% 103.34/14.54 owl_bool_unionof_dtype_002, owl_bool_unionof_dtype_003, owl_chain_000,
% 103.34/14.54 owl_chain_001, owl_chain_002, owl_chain_003, owl_char_asymmetric,
% 103.34/14.54 owl_char_functional, owl_char_inversefunctional, owl_char_irreflexive,
% 103.34/14.54 owl_char_reflexive, owl_char_symmetric, owl_char_transitive,
% 103.34/14.54 owl_class_alldifferent_ext, owl_class_alldifferent_type,
% 103.34/14.54 owl_class_alldisjointclasses_ext, owl_class_alldisjointclasses_type,
% 103.34/14.54 owl_class_alldisjointproperties_ext, owl_class_alldisjointproperties_type,
% 103.34/14.54 owl_class_annotation_ext, owl_class_annotation_type,
% 103.34/14.54 owl_class_annotationproperty_ext, owl_class_annotationproperty_type,
% 103.34/14.54 owl_class_asymmetricproperty_ext, owl_class_asymmetricproperty_type,
% 103.34/14.54 owl_class_axiom_ext, owl_class_axiom_type, owl_class_classowl_ext,
% 103.34/14.54 owl_class_classowl_type, owl_class_classrdfs_ext, owl_class_classrdfs_type,
% 103.34/14.54 owl_class_datarange_ext, owl_class_datarange_type, owl_class_datatype_ext,
% 103.34/14.54 owl_class_datatype_type, owl_class_datatypeproperty_ext,
% 103.34/14.54 owl_class_datatypeproperty_type, owl_class_deprecatedclass_ext,
% 103.34/14.54 owl_class_deprecatedclass_type, owl_class_deprecatedproperty_ext,
% 103.34/14.54 owl_class_deprecatedproperty_type, owl_class_functionalproperty_ext,
% 103.34/14.54 owl_class_functionalproperty_type, owl_class_inversefunctionalproperty_ext,
% 103.34/14.54 owl_class_inversefunctionalproperty_type, owl_class_irreflexiveproperty_ext,
% 103.34/14.54 owl_class_irreflexiveproperty_type, owl_class_literal_ext,
% 103.34/14.54 owl_class_literal_type, owl_class_namedindividual_ext,
% 103.34/14.54 owl_class_namedindividual_type, owl_class_negativepropertyassertion_ext,
% 103.34/14.54 owl_class_negativepropertyassertion_type, owl_class_nothing_ext,
% 103.34/14.54 owl_class_nothing_type, owl_class_objectproperty_ext,
% 103.34/14.54 owl_class_objectproperty_type, owl_class_ontology_ext, owl_class_ontology_type,
% 103.34/14.54 owl_class_ontologyproperty_ext, owl_class_ontologyproperty_type,
% 103.34/14.54 owl_class_property_ext, owl_class_property_type,
% 103.34/14.54 owl_class_reflexiveproperty_ext, owl_class_reflexiveproperty_type,
% 103.34/14.54 owl_class_resource_ext, owl_class_resource_type, owl_class_restriction_ext,
% 103.34/14.54 owl_class_restriction_type, owl_class_symmetricproperty_ext,
% 103.34/14.54 owl_class_symmetricproperty_type, owl_class_thing_ext, owl_class_thing_type,
% 103.34/14.54 owl_class_transitiveproperty_ext, owl_class_transitiveproperty_type,
% 103.34/14.54 owl_dat_dtype_anyuri_ext, owl_dat_dtype_anyuri_type,
% 103.34/14.54 owl_dat_dtype_base64binary_ext, owl_dat_dtype_base64binary_type,
% 103.34/14.54 owl_dat_dtype_boolean_ext, owl_dat_dtype_boolean_type, owl_dat_dtype_byte_ext,
% 103.34/14.54 owl_dat_dtype_byte_type, owl_dat_dtype_datetime_ext,
% 103.34/14.54 owl_dat_dtype_datetime_type, owl_dat_dtype_datetimestamp_ext,
% 103.34/14.54 owl_dat_dtype_datetimestamp_type, owl_dat_dtype_decimal_ext,
% 103.34/14.54 owl_dat_dtype_decimal_type, owl_dat_dtype_double_ext, owl_dat_dtype_double_type,
% 103.34/14.54 owl_dat_dtype_float_ext, owl_dat_dtype_float_type, owl_dat_dtype_hexbinary_ext,
% 103.34/14.54 owl_dat_dtype_hexbinary_type, owl_dat_dtype_int_ext, owl_dat_dtype_int_type,
% 103.34/14.54 owl_dat_dtype_integer_ext, owl_dat_dtype_integer_type,
% 103.34/14.54 owl_dat_dtype_language_ext, owl_dat_dtype_language_type, owl_dat_dtype_long_ext,
% 103.34/14.54 owl_dat_dtype_long_type, owl_dat_dtype_name_ext, owl_dat_dtype_name_type,
% 103.34/14.54 owl_dat_dtype_ncname_ext, owl_dat_dtype_ncname_type,
% 103.34/14.54 owl_dat_dtype_negativeinteger_ext, owl_dat_dtype_negativeinteger_type,
% 103.34/14.54 owl_dat_dtype_nmtoken_ext, owl_dat_dtype_nmtoken_type,
% 103.34/14.54 owl_dat_dtype_nonnegativeinteger_ext, owl_dat_dtype_nonnegativeinteger_type,
% 103.34/14.54 owl_dat_dtype_nonpositiveinteger_ext, owl_dat_dtype_nonpositiveinteger_type,
% 103.34/14.54 owl_dat_dtype_normalizedstring_ext, owl_dat_dtype_normalizedstring_type,
% 103.34/14.54 owl_dat_dtype_plainliteral_ext, owl_dat_dtype_plainliteral_type,
% 103.34/14.54 owl_dat_dtype_positiveinteger_ext, owl_dat_dtype_positiveinteger_type,
% 103.34/14.54 owl_dat_dtype_rational_ext, owl_dat_dtype_rational_type, owl_dat_dtype_real_ext,
% 103.34/14.54 owl_dat_dtype_real_type, owl_dat_dtype_relation_disjoint_anyuri_base64binary,
% 103.34/14.54 owl_dat_dtype_relation_disjoint_anyuri_boolean,
% 103.34/14.54 owl_dat_dtype_relation_disjoint_anyuri_datetime,
% 103.34/14.54 owl_dat_dtype_relation_disjoint_anyuri_double,
% 103.34/14.54 owl_dat_dtype_relation_disjoint_anyuri_float,
% 103.34/14.54 owl_dat_dtype_relation_disjoint_anyuri_hexbinary,
% 103.34/14.54 owl_dat_dtype_relation_disjoint_anyuri_plainliteral,
% 103.34/14.54 owl_dat_dtype_relation_disjoint_anyuri_real,
% 103.34/14.54 owl_dat_dtype_relation_disjoint_anyuri_xmlliteral,
% 103.34/14.54 owl_dat_dtype_relation_disjoint_base64binary_boolean,
% 103.34/14.54 owl_dat_dtype_relation_disjoint_base64binary_datetime,
% 103.34/14.54 owl_dat_dtype_relation_disjoint_base64binary_double,
% 103.34/14.54 owl_dat_dtype_relation_disjoint_base64binary_float,
% 103.34/14.54 owl_dat_dtype_relation_disjoint_base64binary_hexbinary,
% 103.34/14.54 owl_dat_dtype_relation_disjoint_base64binary_plainliteral,
% 103.34/14.54 owl_dat_dtype_relation_disjoint_base64binary_real,
% 103.34/14.54 owl_dat_dtype_relation_disjoint_base64binary_xmlliteral,
% 103.34/14.54 owl_dat_dtype_relation_disjoint_boolean_datetime,
% 103.34/14.54 owl_dat_dtype_relation_disjoint_boolean_double,
% 103.34/14.54 owl_dat_dtype_relation_disjoint_boolean_float,
% 103.34/14.54 owl_dat_dtype_relation_disjoint_boolean_hexbinary,
% 103.34/14.54 owl_dat_dtype_relation_disjoint_boolean_plainliteral,
% 103.34/14.54 owl_dat_dtype_relation_disjoint_boolean_real,
% 103.34/14.54 owl_dat_dtype_relation_disjoint_boolean_xmlliteral,
% 103.34/14.54 owl_dat_dtype_relation_disjoint_datetime_double,
% 103.34/14.54 owl_dat_dtype_relation_disjoint_datetime_float,
% 103.34/14.54 owl_dat_dtype_relation_disjoint_datetime_hexbinary,
% 103.34/14.54 owl_dat_dtype_relation_disjoint_datetime_plainliteral,
% 103.34/14.54 owl_dat_dtype_relation_disjoint_datetime_real,
% 103.34/14.54 owl_dat_dtype_relation_disjoint_datetime_xmlliteral,
% 103.34/14.54 owl_dat_dtype_relation_disjoint_double_float,
% 103.34/14.54 owl_dat_dtype_relation_disjoint_double_hexbinary,
% 103.34/14.54 owl_dat_dtype_relation_disjoint_double_plainliteral,
% 103.34/14.54 owl_dat_dtype_relation_disjoint_double_real,
% 103.34/14.54 owl_dat_dtype_relation_disjoint_double_xmlliteral,
% 103.34/14.54 owl_dat_dtype_relation_disjoint_float_hexbinary,
% 103.34/14.54 owl_dat_dtype_relation_disjoint_float_plainliteral,
% 103.34/14.54 owl_dat_dtype_relation_disjoint_float_real,
% 103.34/14.54 owl_dat_dtype_relation_disjoint_float_xmlliteral,
% 103.34/14.54 owl_dat_dtype_relation_disjoint_hexbinary_plainliteral,
% 103.34/14.54 owl_dat_dtype_relation_disjoint_hexbinary_real,
% 103.34/14.54 owl_dat_dtype_relation_disjoint_hexbinary_xmlliteral,
% 103.34/14.54 owl_dat_dtype_relation_disjoint_plainliteral_real,
% 103.34/14.54 owl_dat_dtype_relation_disjoint_plainliteral_xmlliteral,
% 103.34/14.54 owl_dat_dtype_relation_disjoint_real_xmlliteral,
% 103.34/14.54 owl_dat_dtype_relation_subtype_byte_short,
% 103.34/14.54 owl_dat_dtype_relation_subtype_datetimestamp_datetime,
% 103.34/14.54 owl_dat_dtype_relation_subtype_decimal_rational,
% 103.34/14.54 owl_dat_dtype_relation_subtype_int_long,
% 103.34/14.54 owl_dat_dtype_relation_subtype_integer_decimal,
% 103.34/14.54 owl_dat_dtype_relation_subtype_language_token,
% 103.34/14.54 owl_dat_dtype_relation_subtype_long_integer,
% 103.34/14.54 owl_dat_dtype_relation_subtype_name_token,
% 103.34/14.54 owl_dat_dtype_relation_subtype_ncname_name,
% 103.34/14.54 owl_dat_dtype_relation_subtype_negativeinteger_nonpositiveinteger,
% 103.34/14.54 owl_dat_dtype_relation_subtype_nmtoken_token,
% 103.34/14.54 owl_dat_dtype_relation_subtype_nonnegativeinteger_integer,
% 103.34/14.54 owl_dat_dtype_relation_subtype_nonpositiveinteger_integer,
% 103.34/14.54 owl_dat_dtype_relation_subtype_normalizedstring_string,
% 103.34/14.54 owl_dat_dtype_relation_subtype_positiveinteger_nonnegativeinteger,
% 103.34/14.54 owl_dat_dtype_relation_subtype_rational_real,
% 103.34/14.54 owl_dat_dtype_relation_subtype_short_int,
% 103.34/14.54 owl_dat_dtype_relation_subtype_string_plainliteral,
% 103.34/14.54 owl_dat_dtype_relation_subtype_token_normalizedstring,
% 103.34/14.54 owl_dat_dtype_relation_subtype_unsignedbyte_unsignedshort,
% 103.34/14.54 owl_dat_dtype_relation_subtype_unsignedint_unsignedlong,
% 103.34/14.54 owl_dat_dtype_relation_subtype_unsignedlong_nonnegativeinteger,
% 103.34/14.54 owl_dat_dtype_relation_subtype_unsignedshort_unsignedint,
% 103.34/14.54 owl_dat_dtype_short_ext, owl_dat_dtype_short_type, owl_dat_dtype_string_ext,
% 103.34/14.54 owl_dat_dtype_string_type, owl_dat_dtype_token_ext, owl_dat_dtype_token_type,
% 103.34/14.54 owl_dat_dtype_unsignedbyte_ext, owl_dat_dtype_unsignedbyte_type,
% 103.34/14.54 owl_dat_dtype_unsignedint_ext, owl_dat_dtype_unsignedint_type,
% 103.34/14.54 owl_dat_dtype_unsignedlong_ext, owl_dat_dtype_unsignedlong_type,
% 103.34/14.54 owl_dat_dtype_unsignedshort_ext, owl_dat_dtype_unsignedshort_type,
% 103.34/14.54 owl_dat_dtype_xmlliteral_ext, owl_dat_dtype_xmlliteral_type,
% 103.34/14.54 owl_dat_facet_langrange_ext, owl_dat_facet_langrange_type,
% 103.34/14.54 owl_dat_facet_length_ext, owl_dat_facet_length_type,
% 103.34/14.54 owl_dat_facet_maxexclusive_ext, owl_dat_facet_maxexclusive_type,
% 103.34/14.54 owl_dat_facet_maxinclusive_ext, owl_dat_facet_maxinclusive_type,
% 103.34/14.54 owl_dat_facet_maxlength_ext, owl_dat_facet_maxlength_type,
% 103.34/14.54 owl_dat_facet_minexclusive_ext, owl_dat_facet_minexclusive_type,
% 103.34/14.54 owl_dat_facet_mininclusive_ext, owl_dat_facet_mininclusive_type,
% 103.34/14.54 owl_dat_facet_minlength_ext, owl_dat_facet_minlength_type,
% 103.34/14.54 owl_dat_facet_pattern_ext, owl_dat_facet_pattern_type, owl_enum_class_000,
% 103.34/14.54 owl_enum_class_001, owl_enum_class_002, owl_enum_class_003, owl_enum_dtype_001,
% 103.34/14.54 owl_enum_dtype_002, owl_enum_dtype_003, owl_eqdis_differentfrom,
% 103.34/14.54 owl_eqdis_disjointunionof_000, owl_eqdis_disjointunionof_001,
% 103.34/14.54 owl_eqdis_disjointunionof_002, owl_eqdis_disjointunionof_003,
% 103.34/14.54 owl_eqdis_disjointwith, owl_eqdis_equivalentclass, owl_eqdis_equivalentproperty,
% 103.34/14.54 owl_eqdis_propertydisjointwith, owl_eqdis_sameas, owl_inv, owl_key_000,
% 103.34/14.54 owl_key_001, owl_key_002, owl_key_003,
% 103.34/14.54 owl_ndis_alldifferent_distinctmembers_fi_000,
% 103.34/14.54 owl_ndis_alldifferent_distinctmembers_fi_001,
% 103.34/14.54 owl_ndis_alldifferent_distinctmembers_fi_002,
% 103.34/14.54 owl_ndis_alldifferent_distinctmembers_fi_003,
% 103.34/14.54 owl_ndis_alldifferent_distinctmembers_if_000,
% 103.34/14.54 owl_ndis_alldifferent_distinctmembers_if_001,
% 103.34/14.54 owl_ndis_alldifferent_distinctmembers_if_002,
% 103.34/14.54 owl_ndis_alldifferent_distinctmembers_if_003,
% 103.34/14.54 owl_ndis_alldifferent_members_fi_000, owl_ndis_alldifferent_members_fi_001,
% 103.34/14.54 owl_ndis_alldifferent_members_fi_002, owl_ndis_alldifferent_members_fi_003,
% 103.34/14.54 owl_ndis_alldifferent_members_if_000, owl_ndis_alldifferent_members_if_001,
% 103.34/14.54 owl_ndis_alldifferent_members_if_002, owl_ndis_alldifferent_members_if_003,
% 103.34/14.54 owl_ndis_alldisjointclasses_fi_000, owl_ndis_alldisjointclasses_fi_001,
% 103.34/14.54 owl_ndis_alldisjointclasses_fi_002, owl_ndis_alldisjointclasses_fi_003,
% 103.34/14.54 owl_ndis_alldisjointclasses_if_000, owl_ndis_alldisjointclasses_if_001,
% 103.34/14.54 owl_ndis_alldisjointclasses_if_002, owl_ndis_alldisjointclasses_if_003,
% 103.34/14.54 owl_ndis_alldisjointproperties_fi_000, owl_ndis_alldisjointproperties_fi_001,
% 103.34/14.54 owl_ndis_alldisjointproperties_fi_002, owl_ndis_alldisjointproperties_fi_003,
% 103.34/14.54 owl_ndis_alldisjointproperties_if_000, owl_ndis_alldisjointproperties_if_001,
% 103.34/14.54 owl_ndis_alldisjointproperties_if_002, owl_ndis_alldisjointproperties_if_003,
% 103.34/14.54 owl_npa_data_fi, owl_npa_data_if, owl_npa_object_fi, owl_npa_object_if,
% 103.34/14.54 owl_parts_ic_cond_inst, owl_parts_ic_cond_set, owl_parts_ic_def,
% 103.34/14.54 owl_parts_idc_cond_inst, owl_parts_idc_cond_set, owl_parts_idc_def,
% 103.34/14.54 owl_parts_ioap_cond_inst, owl_parts_ioap_cond_set, owl_parts_ioap_def,
% 103.34/14.54 owl_parts_iodp_cond_inst, owl_parts_iodp_cond_set, owl_parts_iodp_def,
% 103.34/14.54 owl_parts_ioxp_cond_inst, owl_parts_ioxp_cond_set, owl_parts_ioxp_def,
% 103.34/14.54 owl_parts_ip_cond_inst, owl_parts_ip_cond_set, owl_parts_ip_def,
% 103.34/14.54 owl_parts_ir_cond_set, owl_parts_ir_def, owl_parts_ix_cond_set,
% 103.34/14.54 owl_parts_ix_def, owl_parts_lv_cond_set, owl_prop_allvaluesfrom_ext,
% 103.34/14.54 owl_prop_allvaluesfrom_type, owl_prop_annotatedproperty_ext,
% 103.34/14.54 owl_prop_annotatedproperty_type, owl_prop_annotatedsource_ext,
% 103.34/14.54 owl_prop_annotatedsource_type, owl_prop_annotatedtarget_ext,
% 103.34/14.54 owl_prop_annotatedtarget_type, owl_prop_assertionproperty_ext,
% 103.34/14.54 owl_prop_assertionproperty_type, owl_prop_backwardcompatiblewith_ext,
% 103.34/14.54 owl_prop_backwardcompatiblewith_type_annot,
% 103.34/14.54 owl_prop_backwardcompatiblewith_type_onto, owl_prop_bottomdataproperty_ext,
% 103.34/14.54 owl_prop_bottomdataproperty_type, owl_prop_bottomobjectproperty_ext,
% 103.34/14.54 owl_prop_bottomobjectproperty_type, owl_prop_cardinality_ext,
% 103.34/14.54 owl_prop_cardinality_type, owl_prop_comment_ext, owl_prop_comment_type,
% 103.34/14.54 owl_prop_complementof_ext, owl_prop_complementof_type,
% 103.34/14.54 owl_prop_datatypecomplementof_ext, owl_prop_datatypecomplementof_type,
% 103.34/14.54 owl_prop_deprecated_ext, owl_prop_deprecated_type, owl_prop_differentfrom_ext,
% 103.34/14.54 owl_prop_differentfrom_type, owl_prop_disjointunionof_ext,
% 103.34/14.54 owl_prop_disjointunionof_type, owl_prop_disjointwith_ext,
% 103.34/14.54 owl_prop_disjointwith_type, owl_prop_distinctmembers_ext,
% 103.34/14.54 owl_prop_distinctmembers_type, owl_prop_equivalentclass_ext,
% 103.34/14.54 owl_prop_equivalentclass_type, owl_prop_equivalentproperty_ext,
% 103.34/14.54 owl_prop_equivalentproperty_type, owl_prop_haskey_ext, owl_prop_haskey_type,
% 103.34/14.54 owl_prop_hasself_ext, owl_prop_hasself_type, owl_prop_hasvalue_ext,
% 103.34/14.54 owl_prop_hasvalue_type, owl_prop_imports_ext, owl_prop_imports_type,
% 103.34/14.54 owl_prop_incompatiblewith_ext, owl_prop_incompatiblewith_type_annot,
% 103.34/14.54 owl_prop_incompatiblewith_type_onto, owl_prop_intersectionof_ext,
% 103.34/14.54 owl_prop_intersectionof_type, owl_prop_inverseof_ext, owl_prop_inverseof_type,
% 103.34/14.54 owl_prop_isdefinedby_ext, owl_prop_isdefinedby_type, owl_prop_label_ext,
% 103.34/14.54 owl_prop_label_type, owl_prop_maxcardinality_ext, owl_prop_maxcardinality_type,
% 103.34/14.54 owl_prop_maxqualifiedcardinality_ext, owl_prop_maxqualifiedcardinality_type,
% 103.34/14.54 owl_prop_members_ext, owl_prop_members_type, owl_prop_mincardinality_ext,
% 103.34/14.54 owl_prop_mincardinality_type, owl_prop_minqualifiedcardinality_ext,
% 103.34/14.54 owl_prop_minqualifiedcardinality_type, owl_prop_onclass_ext,
% 103.34/14.54 owl_prop_onclass_type, owl_prop_ondatarange_ext, owl_prop_ondatarange_type,
% 103.34/14.54 owl_prop_ondatatype_ext, owl_prop_ondatatype_type, owl_prop_oneof_ext,
% 103.34/14.54 owl_prop_oneof_type, owl_prop_onproperty_ext, owl_prop_onproperty_type,
% 103.34/14.54 owl_prop_priorversion_ext, owl_prop_priorversion_type_annot,
% 103.34/14.54 owl_prop_priorversion_type_onto, owl_prop_propertychainaxiom_ext,
% 103.34/14.54 owl_prop_propertychainaxiom_type, owl_prop_propertydisjointwith_ext,
% 103.34/14.54 owl_prop_propertydisjointwith_type, owl_prop_qualifiedcardinality_ext,
% 103.34/14.54 owl_prop_qualifiedcardinality_type, owl_prop_sameas_ext, owl_prop_sameas_type,
% 103.34/14.54 owl_prop_seealso_ext, owl_prop_seealso_type, owl_prop_somevaluesfrom_ext,
% 103.34/14.54 owl_prop_somevaluesfrom_type, owl_prop_sourceindividual_ext,
% 103.34/14.54 owl_prop_sourceindividual_type, owl_prop_targetindividual_ext,
% 103.34/14.54 owl_prop_targetindividual_type, owl_prop_targetvalue_ext,
% 103.34/14.54 owl_prop_targetvalue_type, owl_prop_topdataproperty_type,
% 103.34/14.54 owl_prop_topobjectproperty_ext, owl_prop_topobjectproperty_type,
% 103.34/14.54 owl_prop_unionof_ext, owl_prop_unionof_type, owl_prop_versioninfo_ext,
% 103.34/14.54 owl_prop_versioninfo_type, owl_prop_versioniri_ext, owl_prop_versioniri_type,
% 103.34/14.54 owl_prop_withrestrictions_ext, owl_prop_withrestrictions_type,
% 103.34/14.54 owl_rdfsext_domain, owl_rdfsext_range, owl_rdfsext_subclassof,
% 103.34/14.54 owl_rdfsext_subpropertyof, owl_restrict_allvaluesfrom,
% 103.34/14.54 owl_restrict_exactcard_000, owl_restrict_exactcard_001,
% 103.34/14.54 owl_restrict_exactcard_002, owl_restrict_exactcard_003,
% 103.34/14.54 owl_restrict_exactqcr_data_000, owl_restrict_exactqcr_data_001,
% 103.34/14.54 owl_restrict_exactqcr_data_002, owl_restrict_exactqcr_data_003,
% 103.34/14.54 owl_restrict_exactqcr_object_000, owl_restrict_exactqcr_object_001,
% 103.34/14.54 owl_restrict_exactqcr_object_002, owl_restrict_exactqcr_object_003,
% 103.34/14.54 owl_restrict_hasself, owl_restrict_hasvalue, owl_restrict_maxcard_000,
% 103.34/14.54 owl_restrict_maxcard_001, owl_restrict_maxcard_002, owl_restrict_maxcard_003,
% 103.34/14.54 owl_restrict_maxqcr_data_000, owl_restrict_maxqcr_data_001,
% 103.34/14.54 owl_restrict_maxqcr_data_002, owl_restrict_maxqcr_data_003,
% 103.34/14.54 owl_restrict_maxqcr_object_000, owl_restrict_maxqcr_object_001,
% 103.34/14.54 owl_restrict_maxqcr_object_002, owl_restrict_maxqcr_object_003,
% 103.34/14.54 owl_restrict_mincard_000, owl_restrict_mincard_001, owl_restrict_mincard_002,
% 103.34/14.54 owl_restrict_mincard_003, owl_restrict_minqcr_data_000,
% 103.34/14.54 owl_restrict_minqcr_data_001, owl_restrict_minqcr_data_002,
% 103.34/14.54 owl_restrict_minqcr_data_003, owl_restrict_minqcr_object_000,
% 103.34/14.54 owl_restrict_minqcr_object_001, owl_restrict_minqcr_object_002,
% 103.34/14.54 owl_restrict_minqcr_object_003, owl_restrict_somevaluesfrom,
% 103.34/14.54 rdf_collection_first_type, rdf_collection_nil_type, rdf_collection_rest_type,
% 103.34/14.54 rdf_container_n_type_001, rdf_container_n_type_002, rdf_container_n_type_003,
% 103.34/14.54 rdf_reification_object_type, rdf_reification_predicate_type,
% 103.34/14.54 rdf_reification_subject_type, rdf_type_ip, rdf_type_type, rdf_value_type,
% 103.34/14.54 rdfs_annotation_comment_domain, rdfs_annotation_comment_range,
% 103.34/14.54 rdfs_annotation_isdefinedby_domain, rdfs_annotation_isdefinedby_range,
% 103.34/14.54 rdfs_annotation_isdefinedby_sub, rdfs_annotation_label_domain,
% 103.34/14.54 rdfs_annotation_label_range, rdfs_annotation_seealso_domain,
% 103.34/14.54 rdfs_annotation_seealso_range, rdfs_cext_def, rdfs_class_instsub_resource,
% 103.34/14.54 rdfs_collection_first_domain, rdfs_collection_first_range,
% 103.34/14.54 rdfs_collection_rest_domain, rdfs_collection_rest_range, rdfs_container_alt_sub,
% 103.34/14.54 rdfs_container_bag_sub,
% 103.34/14.54 rdfs_container_containermembershipproperty_instsub_member,
% 103.34/14.54 rdfs_container_containermembershipproperty_sub, rdfs_container_member_domain,
% 103.34/14.54 rdfs_container_member_range, rdfs_container_n_domain_001,
% 103.34/14.54 rdfs_container_n_domain_002, rdfs_container_n_domain_003,
% 103.34/14.54 rdfs_container_n_range_001, rdfs_container_n_range_002,
% 103.34/14.54 rdfs_container_n_range_003, rdfs_container_n_type_001,
% 103.34/14.54 rdfs_container_n_type_002, rdfs_container_n_type_003, rdfs_container_seq_sub,
% 103.34/14.54 rdfs_dat_xmlliteral_sub, rdfs_dat_xmlliteral_type,
% 103.34/14.54 rdfs_datatype_instsub_literal, rdfs_datatype_sub, rdfs_domain_domain,
% 103.34/14.54 rdfs_domain_main, rdfs_domain_range, rdfs_ic_def, rdfs_ir_def, rdfs_lv_def,
% 103.34/14.54 rdfs_property_type, rdfs_range_domain, rdfs_range_main, rdfs_range_range,
% 103.34/14.54 rdfs_reification_object_domain, rdfs_reification_object_range,
% 103.34/14.54 rdfs_reification_predicate_domain, rdfs_reification_predicate_range,
% 103.34/14.54 rdfs_reification_subject_domain, rdfs_reification_subject_range,
% 103.34/14.54 rdfs_subclassof_domain, rdfs_subclassof_main, rdfs_subclassof_range,
% 103.34/14.54 rdfs_subclassof_reflex, rdfs_subclassof_trans, rdfs_subpropertyof_domain,
% 103.34/14.54 rdfs_subpropertyof_main, rdfs_subpropertyof_range, rdfs_subpropertyof_reflex,
% 103.34/14.54 rdfs_subpropertyof_trans, rdfs_type_domain, rdfs_type_range, rdfs_value_domain,
% 103.34/14.54 rdfs_value_range, simple_iext_property, simple_lv
% 103.34/14.54
% 103.34/14.54 Those formulas are unsatisfiable:
% 103.34/14.54 ---------------------------------
% 103.34/14.54
% 103.34/14.54 Begin of proof
% 103.34/14.54 |
% 103.34/14.54 | ALPHA: (owl_parts_lv_def) implies:
% 103.34/14.54 | (1) ! [v0: $i] : ( ~ (iext(uri_rdf_type, v0, uri_rdfs_Literal) = 0) | ~
% 103.34/14.54 | $i(v0) | lv(v0) = 0)
% 103.34/14.54 |
% 103.34/14.54 | ALPHA: (owl_prop_topdataproperty_ext) implies:
% 103.34/14.54 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~
% 103.34/14.54 | (iext(uri_owl_topDataProperty, v0, v1) = v2) | ~ $i(v1) | ~ $i(v0)
% 103.34/14.54 | | ? [v3: any] : ? [v4: any] : (lv(v1) = v4 & ir(v0) = v3 & ( ~ (v4
% 103.34/14.54 | = 0) | ~ (v3 = 0))))
% 103.34/14.54 |
% 103.34/14.54 | ALPHA: (premise_rdfbased_sem_prop_topdataproperty_ext_lo) implies:
% 103.34/14.54 | (3) iext(uri_rdf_type, uri_ex_y, uri_rdfs_Literal) = 0
% 103.34/14.54 |
% 103.34/14.54 | ALPHA: (conclusion_rdfbased_sem_prop_topdataproperty_ext_lo) implies:
% 103.34/14.55 | (4) $i(uri_ex_x)
% 103.34/14.55 | (5) $i(uri_ex_y)
% 103.34/14.55 | (6) ? [v0: int] : ( ~ (v0 = 0) & iext(uri_owl_topDataProperty, uri_ex_x,
% 103.34/14.55 | uri_ex_y) = v0)
% 103.34/14.55 |
% 103.34/14.55 | ALPHA: (function-axioms) implies:
% 103.34/14.55 | (7) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 103.34/14.55 | (v1 = v0 | ~ (lv(v2) = v1) | ~ (lv(v2) = v0))
% 103.34/14.55 |
% 103.34/14.55 | DELTA: instantiating (6) with fresh symbol all_322_0 gives:
% 103.34/14.55 | (8) ~ (all_322_0 = 0) & iext(uri_owl_topDataProperty, uri_ex_x, uri_ex_y)
% 103.34/14.55 | = all_322_0
% 103.34/14.55 |
% 103.34/14.55 | ALPHA: (8) implies:
% 103.34/14.55 | (9) ~ (all_322_0 = 0)
% 103.34/14.55 | (10) iext(uri_owl_topDataProperty, uri_ex_x, uri_ex_y) = all_322_0
% 103.34/14.55 |
% 103.34/14.55 | GROUND_INST: instantiating (1) with uri_ex_y, simplifying with (3), (5) gives:
% 103.34/14.55 | (11) lv(uri_ex_y) = 0
% 103.34/14.55 |
% 103.34/14.55 | GROUND_INST: instantiating (2) with uri_ex_x, uri_ex_y, all_322_0, simplifying
% 103.34/14.55 | with (4), (5), (10) gives:
% 103.34/14.55 | (12) all_322_0 = 0 | ? [v0: any] : ? [v1: any] : (lv(uri_ex_y) = v1 &
% 103.34/14.55 | ir(uri_ex_x) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 103.34/14.55 |
% 103.34/14.55 | BETA: splitting (12) gives:
% 103.34/14.55 |
% 103.34/14.55 | Case 1:
% 103.34/14.55 | |
% 103.34/14.55 | | (13) all_322_0 = 0
% 103.34/14.55 | |
% 103.34/14.55 | | REDUCE: (9), (13) imply:
% 103.34/14.55 | | (14) $false
% 103.34/14.55 | |
% 103.34/14.55 | | CLOSE: (14) is inconsistent.
% 103.34/14.55 | |
% 103.34/14.55 | Case 2:
% 103.34/14.55 | |
% 103.34/14.55 | | (15) ? [v0: any] : ? [v1: any] : (lv(uri_ex_y) = v1 & ir(uri_ex_x) = v0
% 103.34/14.55 | | & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 103.34/14.55 | |
% 103.34/14.55 | | DELTA: instantiating (15) with fresh symbols all_630_0, all_630_1 gives:
% 103.34/14.55 | | (16) lv(uri_ex_y) = all_630_0 & ir(uri_ex_x) = all_630_1 & ( ~ (all_630_0
% 103.34/14.55 | | = 0) | ~ (all_630_1 = 0))
% 103.34/14.55 | |
% 103.34/14.55 | | ALPHA: (16) implies:
% 103.34/14.55 | | (17) ir(uri_ex_x) = all_630_1
% 103.34/14.55 | | (18) lv(uri_ex_y) = all_630_0
% 103.34/14.55 | | (19) ~ (all_630_0 = 0) | ~ (all_630_1 = 0)
% 103.34/14.55 | |
% 103.34/14.55 | | GROUND_INST: instantiating (7) with 0, all_630_0, uri_ex_y, simplifying with
% 103.34/14.55 | | (11), (18) gives:
% 103.34/14.55 | | (20) all_630_0 = 0
% 103.34/14.55 | |
% 103.34/14.55 | | BETA: splitting (19) gives:
% 103.34/14.55 | |
% 103.34/14.55 | | Case 1:
% 103.34/14.55 | | |
% 103.34/14.55 | | | (21) ~ (all_630_0 = 0)
% 103.34/14.55 | | |
% 103.34/14.55 | | | REDUCE: (20), (21) imply:
% 103.34/14.55 | | | (22) $false
% 103.34/14.55 | | |
% 103.34/14.55 | | | CLOSE: (22) is inconsistent.
% 103.34/14.55 | | |
% 103.34/14.55 | | Case 2:
% 103.34/14.55 | | |
% 103.34/14.55 | | | (23) ~ (all_630_1 = 0)
% 103.34/14.55 | | |
% 103.34/14.55 | | | GROUND_INST: instantiating (simple_ir) with uri_ex_x, all_630_1,
% 103.34/14.55 | | | simplifying with (4), (17) gives:
% 103.34/14.56 | | | (24) all_630_1 = 0
% 103.34/14.56 | | |
% 103.34/14.56 | | | REDUCE: (23), (24) imply:
% 103.34/14.56 | | | (25) $false
% 103.34/14.56 | | |
% 103.34/14.56 | | | CLOSE: (25) is inconsistent.
% 103.34/14.56 | | |
% 103.34/14.56 | | End of split
% 103.34/14.56 | |
% 103.34/14.56 | End of split
% 103.34/14.56 |
% 103.34/14.56 End of proof
% 103.34/14.56 % SZS output end Proof for theBenchmark
% 103.34/14.56
% 103.34/14.56 13932ms
%------------------------------------------------------------------------------