TSTP Solution File: SWB011+1 by Princess---230619

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Princess---230619
% Problem  : SWB011+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 : n022.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 20:11:39 EDT 2023

% Result   : Unsatisfiable 60.24s 8.83s
% Output   : Proof 91.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWB011+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13  % Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.34  % Computer : n022.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 07:31:40 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.19/0.61  ________       _____
% 0.19/0.61  ___  __ \_________(_)________________________________
% 0.19/0.61  __  /_/ /_  ___/_  /__  __ \  ___/  _ \_  ___/_  ___/
% 0.19/0.61  _  ____/_  /   _  / _  / / / /__ /  __/(__  )_(__  )
% 0.19/0.61  /_/     /_/    /_/  /_/ /_/\___/ \___//____/ /____/
% 0.19/0.61  
% 0.19/0.61  A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.19/0.61  (2023-06-19)
% 0.19/0.61  
% 0.19/0.61  (c) Philipp Rümmer, 2009-2023
% 0.19/0.61  Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.19/0.61                Amanda Stjerna.
% 0.19/0.61  Free software under BSD-3-Clause.
% 0.19/0.61  
% 0.19/0.61  For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.19/0.61  
% 0.19/0.61  Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.19/0.62  Running up to 7 provers in parallel.
% 0.19/0.65  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.19/0.65  Prover 0: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.19/0.65  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.19/0.65  Prover 3: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.19/0.65  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.19/0.65  Prover 5: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.19/0.65  Prover 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 9.15/2.10  Prover 1: Preprocessing ...
% 9.15/2.12  Prover 4: Preprocessing ...
% 9.15/2.12  Prover 3: Preprocessing ...
% 9.15/2.12  Prover 6: Preprocessing ...
% 9.15/2.12  Prover 2: Preprocessing ...
% 9.15/2.12  Prover 0: Preprocessing ...
% 9.15/2.13  Prover 5: Preprocessing ...
% 26.53/4.31  Prover 5: Proving ...
% 27.53/4.44  Prover 2: Proving ...
% 31.20/4.96  Prover 3: Constructing countermodel ...
% 33.37/5.28  Prover 6: Proving ...
% 33.37/5.31  Prover 1: Constructing countermodel ...
% 60.24/8.82  Prover 3: proved (8176ms)
% 60.24/8.82  
% 60.24/8.83  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 60.24/8.83  
% 60.24/8.83  Prover 0: stopped
% 60.24/8.85  Prover 6: stopped
% 60.24/8.86  Prover 7: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 60.24/8.86  Prover 5: stopped
% 60.24/8.87  Prover 8: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 60.24/8.87  Prover 10: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 60.24/8.87  Prover 11: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 62.32/9.07  Prover 2: stopped
% 62.32/9.09  Prover 13: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 66.63/9.64  Prover 11: Preprocessing ...
% 66.63/9.68  Prover 8: Preprocessing ...
% 67.30/9.70  Prover 7: Preprocessing ...
% 67.30/9.72  Prover 10: Preprocessing ...
% 67.30/9.75  Prover 13: Preprocessing ...
% 71.50/10.25  Prover 10: Warning: ignoring some quantifiers
% 71.50/10.30  Prover 7: Warning: ignoring some quantifiers
% 71.50/10.32  Prover 13: Warning: ignoring some quantifiers
% 72.14/10.38  Prover 7: Constructing countermodel ...
% 72.56/10.39  Prover 10: Constructing countermodel ...
% 73.14/10.49  Prover 13: Constructing countermodel ...
% 75.41/10.77  Prover 8: Warning: ignoring some quantifiers
% 75.41/10.82  Prover 8: Constructing countermodel ...
% 90.56/12.82  Prover 1: Found proof (size 14)
% 90.56/12.82  Prover 1: proved (12188ms)
% 90.56/12.82  Prover 13: stopped
% 90.56/12.82  Prover 8: stopped
% 90.56/12.82  Prover 10: stopped
% 90.56/12.82  Prover 7: stopped
% 90.56/12.82  Prover 11: stopped
% 90.56/12.82  Prover 4: stopped
% 90.56/12.82  
% 90.56/12.82  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 90.56/12.82  
% 90.56/12.82  % SZS output start Proof for theBenchmark
% 91.15/12.84  Assumptions after simplification:
% 91.15/12.84  ---------------------------------
% 91.15/12.84  
% 91.15/12.84    (owl_eqdis_disjointwith)
% 91.15/12.87    $i(uri_owl_disjointWith) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: int] : (v2 = 0
% 91.15/12.87      |  ~ (iext(uri_owl_disjointWith, v0, v1) = v2) |  ~ $i(v1) |  ~ $i(v0) |  ?
% 91.15/12.87      [v3: any] :  ? [v4: any] : (ic(v1) = v4 & ic(v0) = v3 & ( ~ (v4 = 0) |  ~
% 91.15/12.87          (v3 = 0))) |  ? [v3: $i] : (icext(v1, v3) = 0 & icext(v0, v3) = 0 &
% 91.15/12.87        $i(v3))) &  ! [v0: $i] :  ! [v1: $i] : ( ~ (iext(uri_owl_disjointWith, v0,
% 91.15/12.87          v1) = 0) |  ~ $i(v1) |  ~ $i(v0) | (ic(v1) = 0 & ic(v0) = 0 &  ! [v2:
% 91.15/12.87          $i] : ( ~ (icext(v0, v2) = 0) |  ~ $i(v2) |  ? [v3: int] : ( ~ (v3 = 0)
% 91.15/12.87            & icext(v1, v2) = v3))))
% 91.15/12.87  
% 91.15/12.87    (rdfs_cext_def)
% 91.15/12.87    $i(uri_rdf_type) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: int] : (v2 = 0 |  ~
% 91.15/12.87      (iext(uri_rdf_type, v0, v1) = v2) |  ~ $i(v1) |  ~ $i(v0) |  ? [v3: int] : (
% 91.15/12.87        ~ (v3 = 0) & icext(v1, v0) = v3)) &  ! [v0: $i] :  ! [v1: $i] : ( ~
% 91.15/12.87      (iext(uri_rdf_type, v0, v1) = 0) |  ~ $i(v1) |  ~ $i(v0) | icext(v1, v0) =
% 91.15/12.87      0)
% 91.15/12.87  
% 91.15/12.87    (testcase_premise_fullish_011_Entity_Types_as_Classes)
% 91.15/12.87    iext(uri_owl_disjointWith, uri_owl_Class, uri_owl_ObjectProperty) = 0 &
% 91.15/12.87    iext(uri_rdf_type, uri_ex_x, uri_owl_ObjectProperty) = 0 & iext(uri_rdf_type,
% 91.15/12.87      uri_ex_x, uri_owl_Class) = 0 & $i(uri_ex_x) & $i(uri_owl_disjointWith) &
% 91.15/12.87    $i(uri_owl_ObjectProperty) & $i(uri_owl_Class) & $i(uri_rdf_type)
% 91.15/12.87  
% 91.15/12.87    (function-axioms)
% 91.15/12.87     ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  !
% 91.15/12.87    [v3: $i] :  ! [v4: $i] : (v1 = v0 |  ~ (iext(v4, v3, v2) = v1) |  ~ (iext(v4,
% 91.15/12.87          v3, v2) = v0)) &  ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] :
% 91.15/12.87    (v1 = v0 |  ~ (literal_typed(v3, v2) = v1) |  ~ (literal_typed(v3, v2) = v0))
% 91.15/12.87    &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :  !
% 91.15/12.87    [v3: $i] : (v1 = v0 |  ~ (icext(v3, v2) = v1) |  ~ (icext(v3, v2) = v0)) &  !
% 91.15/12.87    [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0
% 91.15/12.87      |  ~ (ioxp(v2) = v1) |  ~ (ioxp(v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 91.15/12.87    [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (ix(v2) = v1) |  ~
% 91.15/12.87      (ix(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] : 
% 91.15/12.87    ! [v2: $i] : (v1 = v0 |  ~ (iodp(v2) = v1) |  ~ (iodp(v2) = v0)) &  ! [v0:
% 91.15/12.87      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 | 
% 91.15/12.87      ~ (ioap(v2) = v1) |  ~ (ioap(v2) = v0)) &  ! [v0: MultipleValueBool] :  !
% 91.15/12.87    [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (idc(v2) = v1) |  ~
% 91.15/12.87      (idc(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] : 
% 91.15/12.87    ! [v2: $i] : (v1 = v0 |  ~ (ic(v2) = v1) |  ~ (ic(v2) = v0)) &  ! [v0:
% 91.15/12.87      MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] : (v1 = v0 | 
% 91.15/12.87      ~ (lv(v2) = v1) |  ~ (lv(v2) = v0)) &  ! [v0: MultipleValueBool] :  ! [v1:
% 91.15/12.88      MultipleValueBool] :  ! [v2: $i] : (v1 = v0 |  ~ (ir(v2) = v1) |  ~ (ir(v2)
% 91.15/12.88        = v0)) &  ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2:
% 91.15/12.88      $i] : (v1 = v0 |  ~ (ip(v2) = v1) |  ~ (ip(v2) = v0))
% 91.15/12.88  
% 91.15/12.88  Further assumptions not needed in the proof:
% 91.15/12.88  --------------------------------------------
% 91.15/12.88  owl_bool_complementof_class, owl_bool_datatypecomplementof,
% 91.15/12.88  owl_bool_intersectionof_class_000, owl_bool_intersectionof_class_001,
% 91.15/12.88  owl_bool_intersectionof_class_002, owl_bool_intersectionof_class_003,
% 91.15/12.88  owl_bool_intersectionof_dtype_001, owl_bool_intersectionof_dtype_002,
% 91.15/12.88  owl_bool_intersectionof_dtype_003, owl_bool_unionof_class_000,
% 91.15/12.88  owl_bool_unionof_class_001, owl_bool_unionof_class_002,
% 91.15/12.88  owl_bool_unionof_class_003, owl_bool_unionof_dtype_001,
% 91.15/12.88  owl_bool_unionof_dtype_002, owl_bool_unionof_dtype_003, owl_chain_000,
% 91.15/12.88  owl_chain_001, owl_chain_002, owl_chain_003, owl_char_asymmetric,
% 91.15/12.88  owl_char_functional, owl_char_inversefunctional, owl_char_irreflexive,
% 91.15/12.88  owl_char_reflexive, owl_char_symmetric, owl_char_transitive,
% 91.15/12.88  owl_class_alldifferent_ext, owl_class_alldifferent_type,
% 91.15/12.88  owl_class_alldisjointclasses_ext, owl_class_alldisjointclasses_type,
% 91.15/12.88  owl_class_alldisjointproperties_ext, owl_class_alldisjointproperties_type,
% 91.15/12.88  owl_class_annotation_ext, owl_class_annotation_type,
% 91.15/12.88  owl_class_annotationproperty_ext, owl_class_annotationproperty_type,
% 91.15/12.88  owl_class_asymmetricproperty_ext, owl_class_asymmetricproperty_type,
% 91.15/12.88  owl_class_axiom_ext, owl_class_axiom_type, owl_class_classowl_ext,
% 91.15/12.88  owl_class_classowl_type, owl_class_classrdfs_ext, owl_class_classrdfs_type,
% 91.15/12.88  owl_class_datarange_ext, owl_class_datarange_type, owl_class_datatype_ext,
% 91.15/12.88  owl_class_datatype_type, owl_class_datatypeproperty_ext,
% 91.15/12.88  owl_class_datatypeproperty_type, owl_class_deprecatedclass_ext,
% 91.15/12.88  owl_class_deprecatedclass_type, owl_class_deprecatedproperty_ext,
% 91.15/12.88  owl_class_deprecatedproperty_type, owl_class_functionalproperty_ext,
% 91.15/12.88  owl_class_functionalproperty_type, owl_class_inversefunctionalproperty_ext,
% 91.15/12.88  owl_class_inversefunctionalproperty_type, owl_class_irreflexiveproperty_ext,
% 91.15/12.88  owl_class_irreflexiveproperty_type, owl_class_literal_ext,
% 91.15/12.88  owl_class_literal_type, owl_class_namedindividual_ext,
% 91.15/12.88  owl_class_namedindividual_type, owl_class_negativepropertyassertion_ext,
% 91.15/12.88  owl_class_negativepropertyassertion_type, owl_class_nothing_ext,
% 91.15/12.88  owl_class_nothing_type, owl_class_objectproperty_ext,
% 91.15/12.88  owl_class_objectproperty_type, owl_class_ontology_ext, owl_class_ontology_type,
% 91.15/12.88  owl_class_ontologyproperty_ext, owl_class_ontologyproperty_type,
% 91.15/12.88  owl_class_property_ext, owl_class_property_type,
% 91.15/12.88  owl_class_reflexiveproperty_ext, owl_class_reflexiveproperty_type,
% 91.15/12.88  owl_class_resource_ext, owl_class_resource_type, owl_class_restriction_ext,
% 91.15/12.88  owl_class_restriction_type, owl_class_symmetricproperty_ext,
% 91.15/12.88  owl_class_symmetricproperty_type, owl_class_thing_ext, owl_class_thing_type,
% 91.15/12.88  owl_class_transitiveproperty_ext, owl_class_transitiveproperty_type,
% 91.15/12.88  owl_dat_dtype_anyuri_ext, owl_dat_dtype_anyuri_type,
% 91.15/12.88  owl_dat_dtype_base64binary_ext, owl_dat_dtype_base64binary_type,
% 91.15/12.88  owl_dat_dtype_boolean_ext, owl_dat_dtype_boolean_type, owl_dat_dtype_byte_ext,
% 91.15/12.88  owl_dat_dtype_byte_type, owl_dat_dtype_datetime_ext,
% 91.15/12.88  owl_dat_dtype_datetime_type, owl_dat_dtype_datetimestamp_ext,
% 91.15/12.88  owl_dat_dtype_datetimestamp_type, owl_dat_dtype_decimal_ext,
% 91.15/12.88  owl_dat_dtype_decimal_type, owl_dat_dtype_double_ext, owl_dat_dtype_double_type,
% 91.15/12.88  owl_dat_dtype_float_ext, owl_dat_dtype_float_type, owl_dat_dtype_hexbinary_ext,
% 91.15/12.88  owl_dat_dtype_hexbinary_type, owl_dat_dtype_int_ext, owl_dat_dtype_int_type,
% 91.15/12.88  owl_dat_dtype_integer_ext, owl_dat_dtype_integer_type,
% 91.15/12.88  owl_dat_dtype_language_ext, owl_dat_dtype_language_type, owl_dat_dtype_long_ext,
% 91.15/12.88  owl_dat_dtype_long_type, owl_dat_dtype_name_ext, owl_dat_dtype_name_type,
% 91.15/12.88  owl_dat_dtype_ncname_ext, owl_dat_dtype_ncname_type,
% 91.15/12.88  owl_dat_dtype_negativeinteger_ext, owl_dat_dtype_negativeinteger_type,
% 91.15/12.88  owl_dat_dtype_nmtoken_ext, owl_dat_dtype_nmtoken_type,
% 91.15/12.88  owl_dat_dtype_nonnegativeinteger_ext, owl_dat_dtype_nonnegativeinteger_type,
% 91.15/12.88  owl_dat_dtype_nonpositiveinteger_ext, owl_dat_dtype_nonpositiveinteger_type,
% 91.15/12.88  owl_dat_dtype_normalizedstring_ext, owl_dat_dtype_normalizedstring_type,
% 91.15/12.88  owl_dat_dtype_plainliteral_ext, owl_dat_dtype_plainliteral_type,
% 91.15/12.88  owl_dat_dtype_positiveinteger_ext, owl_dat_dtype_positiveinteger_type,
% 91.15/12.88  owl_dat_dtype_rational_ext, owl_dat_dtype_rational_type, owl_dat_dtype_real_ext,
% 91.15/12.88  owl_dat_dtype_real_type, owl_dat_dtype_relation_disjoint_anyuri_base64binary,
% 91.15/12.88  owl_dat_dtype_relation_disjoint_anyuri_boolean,
% 91.15/12.88  owl_dat_dtype_relation_disjoint_anyuri_datetime,
% 91.15/12.88  owl_dat_dtype_relation_disjoint_anyuri_double,
% 91.15/12.88  owl_dat_dtype_relation_disjoint_anyuri_float,
% 91.15/12.88  owl_dat_dtype_relation_disjoint_anyuri_hexbinary,
% 91.15/12.88  owl_dat_dtype_relation_disjoint_anyuri_plainliteral,
% 91.15/12.88  owl_dat_dtype_relation_disjoint_anyuri_real,
% 91.15/12.88  owl_dat_dtype_relation_disjoint_anyuri_xmlliteral,
% 91.15/12.88  owl_dat_dtype_relation_disjoint_base64binary_boolean,
% 91.15/12.88  owl_dat_dtype_relation_disjoint_base64binary_datetime,
% 91.15/12.88  owl_dat_dtype_relation_disjoint_base64binary_double,
% 91.15/12.88  owl_dat_dtype_relation_disjoint_base64binary_float,
% 91.15/12.88  owl_dat_dtype_relation_disjoint_base64binary_hexbinary,
% 91.15/12.88  owl_dat_dtype_relation_disjoint_base64binary_plainliteral,
% 91.15/12.88  owl_dat_dtype_relation_disjoint_base64binary_real,
% 91.15/12.88  owl_dat_dtype_relation_disjoint_base64binary_xmlliteral,
% 91.15/12.88  owl_dat_dtype_relation_disjoint_boolean_datetime,
% 91.15/12.88  owl_dat_dtype_relation_disjoint_boolean_double,
% 91.15/12.88  owl_dat_dtype_relation_disjoint_boolean_float,
% 91.15/12.88  owl_dat_dtype_relation_disjoint_boolean_hexbinary,
% 91.15/12.88  owl_dat_dtype_relation_disjoint_boolean_plainliteral,
% 91.15/12.88  owl_dat_dtype_relation_disjoint_boolean_real,
% 91.15/12.88  owl_dat_dtype_relation_disjoint_boolean_xmlliteral,
% 91.15/12.88  owl_dat_dtype_relation_disjoint_datetime_double,
% 91.15/12.88  owl_dat_dtype_relation_disjoint_datetime_float,
% 91.15/12.88  owl_dat_dtype_relation_disjoint_datetime_hexbinary,
% 91.15/12.88  owl_dat_dtype_relation_disjoint_datetime_plainliteral,
% 91.15/12.88  owl_dat_dtype_relation_disjoint_datetime_real,
% 91.15/12.88  owl_dat_dtype_relation_disjoint_datetime_xmlliteral,
% 91.15/12.88  owl_dat_dtype_relation_disjoint_double_float,
% 91.15/12.88  owl_dat_dtype_relation_disjoint_double_hexbinary,
% 91.15/12.88  owl_dat_dtype_relation_disjoint_double_plainliteral,
% 91.15/12.88  owl_dat_dtype_relation_disjoint_double_real,
% 91.15/12.88  owl_dat_dtype_relation_disjoint_double_xmlliteral,
% 91.15/12.88  owl_dat_dtype_relation_disjoint_float_hexbinary,
% 91.15/12.88  owl_dat_dtype_relation_disjoint_float_plainliteral,
% 91.15/12.88  owl_dat_dtype_relation_disjoint_float_real,
% 91.15/12.88  owl_dat_dtype_relation_disjoint_float_xmlliteral,
% 91.15/12.88  owl_dat_dtype_relation_disjoint_hexbinary_plainliteral,
% 91.15/12.88  owl_dat_dtype_relation_disjoint_hexbinary_real,
% 91.15/12.88  owl_dat_dtype_relation_disjoint_hexbinary_xmlliteral,
% 91.15/12.88  owl_dat_dtype_relation_disjoint_plainliteral_real,
% 91.15/12.88  owl_dat_dtype_relation_disjoint_plainliteral_xmlliteral,
% 91.15/12.88  owl_dat_dtype_relation_disjoint_real_xmlliteral,
% 91.15/12.88  owl_dat_dtype_relation_subtype_byte_short,
% 91.15/12.88  owl_dat_dtype_relation_subtype_datetimestamp_datetime,
% 91.15/12.88  owl_dat_dtype_relation_subtype_decimal_rational,
% 91.15/12.88  owl_dat_dtype_relation_subtype_int_long,
% 91.15/12.88  owl_dat_dtype_relation_subtype_integer_decimal,
% 91.15/12.88  owl_dat_dtype_relation_subtype_language_token,
% 91.15/12.88  owl_dat_dtype_relation_subtype_long_integer,
% 91.15/12.88  owl_dat_dtype_relation_subtype_name_token,
% 91.15/12.88  owl_dat_dtype_relation_subtype_ncname_name,
% 91.15/12.88  owl_dat_dtype_relation_subtype_negativeinteger_nonpositiveinteger,
% 91.15/12.88  owl_dat_dtype_relation_subtype_nmtoken_token,
% 91.15/12.88  owl_dat_dtype_relation_subtype_nonnegativeinteger_integer,
% 91.15/12.88  owl_dat_dtype_relation_subtype_nonpositiveinteger_integer,
% 91.15/12.88  owl_dat_dtype_relation_subtype_normalizedstring_string,
% 91.15/12.88  owl_dat_dtype_relation_subtype_positiveinteger_nonnegativeinteger,
% 91.15/12.88  owl_dat_dtype_relation_subtype_rational_real,
% 91.15/12.88  owl_dat_dtype_relation_subtype_short_int,
% 91.15/12.88  owl_dat_dtype_relation_subtype_string_plainliteral,
% 91.15/12.88  owl_dat_dtype_relation_subtype_token_normalizedstring,
% 91.15/12.88  owl_dat_dtype_relation_subtype_unsignedbyte_unsignedshort,
% 91.15/12.88  owl_dat_dtype_relation_subtype_unsignedint_unsignedlong,
% 91.15/12.88  owl_dat_dtype_relation_subtype_unsignedlong_nonnegativeinteger,
% 91.15/12.88  owl_dat_dtype_relation_subtype_unsignedshort_unsignedint,
% 91.15/12.88  owl_dat_dtype_short_ext, owl_dat_dtype_short_type, owl_dat_dtype_string_ext,
% 91.15/12.88  owl_dat_dtype_string_type, owl_dat_dtype_token_ext, owl_dat_dtype_token_type,
% 91.15/12.88  owl_dat_dtype_unsignedbyte_ext, owl_dat_dtype_unsignedbyte_type,
% 91.15/12.88  owl_dat_dtype_unsignedint_ext, owl_dat_dtype_unsignedint_type,
% 91.15/12.88  owl_dat_dtype_unsignedlong_ext, owl_dat_dtype_unsignedlong_type,
% 91.15/12.88  owl_dat_dtype_unsignedshort_ext, owl_dat_dtype_unsignedshort_type,
% 91.15/12.88  owl_dat_dtype_xmlliteral_ext, owl_dat_dtype_xmlliteral_type,
% 91.15/12.88  owl_dat_facet_langrange_ext, owl_dat_facet_langrange_type,
% 91.15/12.88  owl_dat_facet_length_ext, owl_dat_facet_length_type,
% 91.15/12.88  owl_dat_facet_maxexclusive_ext, owl_dat_facet_maxexclusive_type,
% 91.15/12.88  owl_dat_facet_maxinclusive_ext, owl_dat_facet_maxinclusive_type,
% 91.15/12.88  owl_dat_facet_maxlength_ext, owl_dat_facet_maxlength_type,
% 91.15/12.88  owl_dat_facet_minexclusive_ext, owl_dat_facet_minexclusive_type,
% 91.15/12.88  owl_dat_facet_mininclusive_ext, owl_dat_facet_mininclusive_type,
% 91.36/12.88  owl_dat_facet_minlength_ext, owl_dat_facet_minlength_type,
% 91.36/12.88  owl_dat_facet_pattern_ext, owl_dat_facet_pattern_type, owl_enum_class_000,
% 91.36/12.88  owl_enum_class_001, owl_enum_class_002, owl_enum_class_003, owl_enum_dtype_001,
% 91.36/12.88  owl_enum_dtype_002, owl_enum_dtype_003, owl_eqdis_differentfrom,
% 91.36/12.88  owl_eqdis_disjointunionof_000, owl_eqdis_disjointunionof_001,
% 91.36/12.88  owl_eqdis_disjointunionof_002, owl_eqdis_disjointunionof_003,
% 91.36/12.88  owl_eqdis_equivalentclass, owl_eqdis_equivalentproperty,
% 91.36/12.88  owl_eqdis_propertydisjointwith, owl_eqdis_sameas, owl_inv, owl_key_000,
% 91.36/12.88  owl_key_001, owl_key_002, owl_key_003,
% 91.36/12.88  owl_ndis_alldifferent_distinctmembers_fi_000,
% 91.36/12.88  owl_ndis_alldifferent_distinctmembers_fi_001,
% 91.36/12.88  owl_ndis_alldifferent_distinctmembers_fi_002,
% 91.36/12.88  owl_ndis_alldifferent_distinctmembers_fi_003,
% 91.36/12.88  owl_ndis_alldifferent_distinctmembers_if_000,
% 91.36/12.88  owl_ndis_alldifferent_distinctmembers_if_001,
% 91.36/12.88  owl_ndis_alldifferent_distinctmembers_if_002,
% 91.36/12.88  owl_ndis_alldifferent_distinctmembers_if_003,
% 91.36/12.88  owl_ndis_alldifferent_members_fi_000, owl_ndis_alldifferent_members_fi_001,
% 91.36/12.88  owl_ndis_alldifferent_members_fi_002, owl_ndis_alldifferent_members_fi_003,
% 91.36/12.88  owl_ndis_alldifferent_members_if_000, owl_ndis_alldifferent_members_if_001,
% 91.36/12.88  owl_ndis_alldifferent_members_if_002, owl_ndis_alldifferent_members_if_003,
% 91.36/12.88  owl_ndis_alldisjointclasses_fi_000, owl_ndis_alldisjointclasses_fi_001,
% 91.36/12.88  owl_ndis_alldisjointclasses_fi_002, owl_ndis_alldisjointclasses_fi_003,
% 91.36/12.88  owl_ndis_alldisjointclasses_if_000, owl_ndis_alldisjointclasses_if_001,
% 91.36/12.88  owl_ndis_alldisjointclasses_if_002, owl_ndis_alldisjointclasses_if_003,
% 91.36/12.88  owl_ndis_alldisjointproperties_fi_000, owl_ndis_alldisjointproperties_fi_001,
% 91.36/12.88  owl_ndis_alldisjointproperties_fi_002, owl_ndis_alldisjointproperties_fi_003,
% 91.36/12.88  owl_ndis_alldisjointproperties_if_000, owl_ndis_alldisjointproperties_if_001,
% 91.36/12.88  owl_ndis_alldisjointproperties_if_002, owl_ndis_alldisjointproperties_if_003,
% 91.36/12.88  owl_npa_data_fi, owl_npa_data_if, owl_npa_object_fi, owl_npa_object_if,
% 91.36/12.88  owl_parts_ic_cond_inst, owl_parts_ic_cond_set, owl_parts_ic_def,
% 91.36/12.88  owl_parts_idc_cond_inst, owl_parts_idc_cond_set, owl_parts_idc_def,
% 91.36/12.88  owl_parts_ioap_cond_inst, owl_parts_ioap_cond_set, owl_parts_ioap_def,
% 91.36/12.88  owl_parts_iodp_cond_inst, owl_parts_iodp_cond_set, owl_parts_iodp_def,
% 91.36/12.88  owl_parts_ioxp_cond_inst, owl_parts_ioxp_cond_set, owl_parts_ioxp_def,
% 91.36/12.88  owl_parts_ip_cond_inst, owl_parts_ip_cond_set, owl_parts_ip_def,
% 91.36/12.88  owl_parts_ir_cond_set, owl_parts_ir_def, owl_parts_ix_cond_set,
% 91.36/12.88  owl_parts_ix_def, owl_parts_lv_cond_set, owl_parts_lv_def,
% 91.36/12.88  owl_prop_allvaluesfrom_ext, owl_prop_allvaluesfrom_type,
% 91.36/12.88  owl_prop_annotatedproperty_ext, owl_prop_annotatedproperty_type,
% 91.36/12.88  owl_prop_annotatedsource_ext, owl_prop_annotatedsource_type,
% 91.36/12.88  owl_prop_annotatedtarget_ext, owl_prop_annotatedtarget_type,
% 91.36/12.88  owl_prop_assertionproperty_ext, owl_prop_assertionproperty_type,
% 91.36/12.88  owl_prop_backwardcompatiblewith_ext, owl_prop_backwardcompatiblewith_type_annot,
% 91.36/12.88  owl_prop_backwardcompatiblewith_type_onto, owl_prop_bottomdataproperty_ext,
% 91.36/12.88  owl_prop_bottomdataproperty_type, owl_prop_bottomobjectproperty_ext,
% 91.36/12.88  owl_prop_bottomobjectproperty_type, owl_prop_cardinality_ext,
% 91.36/12.88  owl_prop_cardinality_type, owl_prop_comment_ext, owl_prop_comment_type,
% 91.36/12.88  owl_prop_complementof_ext, owl_prop_complementof_type,
% 91.36/12.88  owl_prop_datatypecomplementof_ext, owl_prop_datatypecomplementof_type,
% 91.36/12.88  owl_prop_deprecated_ext, owl_prop_deprecated_type, owl_prop_differentfrom_ext,
% 91.36/12.88  owl_prop_differentfrom_type, owl_prop_disjointunionof_ext,
% 91.36/12.88  owl_prop_disjointunionof_type, owl_prop_disjointwith_ext,
% 91.36/12.88  owl_prop_disjointwith_type, owl_prop_distinctmembers_ext,
% 91.36/12.88  owl_prop_distinctmembers_type, owl_prop_equivalentclass_ext,
% 91.36/12.88  owl_prop_equivalentclass_type, owl_prop_equivalentproperty_ext,
% 91.36/12.88  owl_prop_equivalentproperty_type, owl_prop_haskey_ext, owl_prop_haskey_type,
% 91.36/12.88  owl_prop_hasself_ext, owl_prop_hasself_type, owl_prop_hasvalue_ext,
% 91.36/12.88  owl_prop_hasvalue_type, owl_prop_imports_ext, owl_prop_imports_type,
% 91.36/12.88  owl_prop_incompatiblewith_ext, owl_prop_incompatiblewith_type_annot,
% 91.36/12.88  owl_prop_incompatiblewith_type_onto, owl_prop_intersectionof_ext,
% 91.36/12.88  owl_prop_intersectionof_type, owl_prop_inverseof_ext, owl_prop_inverseof_type,
% 91.36/12.88  owl_prop_isdefinedby_ext, owl_prop_isdefinedby_type, owl_prop_label_ext,
% 91.36/12.88  owl_prop_label_type, owl_prop_maxcardinality_ext, owl_prop_maxcardinality_type,
% 91.36/12.88  owl_prop_maxqualifiedcardinality_ext, owl_prop_maxqualifiedcardinality_type,
% 91.36/12.88  owl_prop_members_ext, owl_prop_members_type, owl_prop_mincardinality_ext,
% 91.36/12.88  owl_prop_mincardinality_type, owl_prop_minqualifiedcardinality_ext,
% 91.36/12.88  owl_prop_minqualifiedcardinality_type, owl_prop_onclass_ext,
% 91.36/12.88  owl_prop_onclass_type, owl_prop_ondatarange_ext, owl_prop_ondatarange_type,
% 91.36/12.88  owl_prop_ondatatype_ext, owl_prop_ondatatype_type, owl_prop_oneof_ext,
% 91.36/12.88  owl_prop_oneof_type, owl_prop_onproperty_ext, owl_prop_onproperty_type,
% 91.36/12.88  owl_prop_priorversion_ext, owl_prop_priorversion_type_annot,
% 91.36/12.88  owl_prop_priorversion_type_onto, owl_prop_propertychainaxiom_ext,
% 91.36/12.88  owl_prop_propertychainaxiom_type, owl_prop_propertydisjointwith_ext,
% 91.36/12.88  owl_prop_propertydisjointwith_type, owl_prop_qualifiedcardinality_ext,
% 91.36/12.88  owl_prop_qualifiedcardinality_type, owl_prop_sameas_ext, owl_prop_sameas_type,
% 91.36/12.88  owl_prop_seealso_ext, owl_prop_seealso_type, owl_prop_somevaluesfrom_ext,
% 91.36/12.88  owl_prop_somevaluesfrom_type, owl_prop_sourceindividual_ext,
% 91.36/12.88  owl_prop_sourceindividual_type, owl_prop_targetindividual_ext,
% 91.36/12.88  owl_prop_targetindividual_type, owl_prop_targetvalue_ext,
% 91.36/12.88  owl_prop_targetvalue_type, owl_prop_topdataproperty_ext,
% 91.36/12.88  owl_prop_topdataproperty_type, owl_prop_topobjectproperty_ext,
% 91.36/12.88  owl_prop_topobjectproperty_type, owl_prop_unionof_ext, owl_prop_unionof_type,
% 91.36/12.88  owl_prop_versioninfo_ext, owl_prop_versioninfo_type, owl_prop_versioniri_ext,
% 91.36/12.88  owl_prop_versioniri_type, owl_prop_withrestrictions_ext,
% 91.36/12.88  owl_prop_withrestrictions_type, owl_rdfsext_domain, owl_rdfsext_range,
% 91.36/12.88  owl_rdfsext_subclassof, owl_rdfsext_subpropertyof, owl_restrict_allvaluesfrom,
% 91.36/12.88  owl_restrict_exactcard_000, owl_restrict_exactcard_001,
% 91.36/12.88  owl_restrict_exactcard_002, owl_restrict_exactcard_003,
% 91.36/12.88  owl_restrict_exactqcr_data_000, owl_restrict_exactqcr_data_001,
% 91.36/12.88  owl_restrict_exactqcr_data_002, owl_restrict_exactqcr_data_003,
% 91.36/12.88  owl_restrict_exactqcr_object_000, owl_restrict_exactqcr_object_001,
% 91.36/12.88  owl_restrict_exactqcr_object_002, owl_restrict_exactqcr_object_003,
% 91.36/12.88  owl_restrict_hasself, owl_restrict_hasvalue, owl_restrict_maxcard_000,
% 91.36/12.88  owl_restrict_maxcard_001, owl_restrict_maxcard_002, owl_restrict_maxcard_003,
% 91.36/12.88  owl_restrict_maxqcr_data_000, owl_restrict_maxqcr_data_001,
% 91.36/12.88  owl_restrict_maxqcr_data_002, owl_restrict_maxqcr_data_003,
% 91.36/12.88  owl_restrict_maxqcr_object_000, owl_restrict_maxqcr_object_001,
% 91.36/12.88  owl_restrict_maxqcr_object_002, owl_restrict_maxqcr_object_003,
% 91.36/12.88  owl_restrict_mincard_000, owl_restrict_mincard_001, owl_restrict_mincard_002,
% 91.36/12.88  owl_restrict_mincard_003, owl_restrict_minqcr_data_000,
% 91.36/12.88  owl_restrict_minqcr_data_001, owl_restrict_minqcr_data_002,
% 91.36/12.88  owl_restrict_minqcr_data_003, owl_restrict_minqcr_object_000,
% 91.36/12.88  owl_restrict_minqcr_object_001, owl_restrict_minqcr_object_002,
% 91.36/12.88  owl_restrict_minqcr_object_003, owl_restrict_somevaluesfrom,
% 91.36/12.88  rdf_collection_first_type, rdf_collection_nil_type, rdf_collection_rest_type,
% 91.36/12.88  rdf_container_n_type_001, rdf_container_n_type_002, rdf_container_n_type_003,
% 91.36/12.88  rdf_reification_object_type, rdf_reification_predicate_type,
% 91.36/12.88  rdf_reification_subject_type, rdf_type_ip, rdf_type_type, rdf_value_type,
% 91.36/12.88  rdfs_annotation_comment_domain, rdfs_annotation_comment_range,
% 91.36/12.88  rdfs_annotation_isdefinedby_domain, rdfs_annotation_isdefinedby_range,
% 91.36/12.88  rdfs_annotation_isdefinedby_sub, rdfs_annotation_label_domain,
% 91.36/12.88  rdfs_annotation_label_range, rdfs_annotation_seealso_domain,
% 91.36/12.88  rdfs_annotation_seealso_range, rdfs_class_instsub_resource,
% 91.36/12.88  rdfs_collection_first_domain, rdfs_collection_first_range,
% 91.36/12.88  rdfs_collection_rest_domain, rdfs_collection_rest_range, rdfs_container_alt_sub,
% 91.36/12.88  rdfs_container_bag_sub,
% 91.36/12.88  rdfs_container_containermembershipproperty_instsub_member,
% 91.36/12.88  rdfs_container_containermembershipproperty_sub, rdfs_container_member_domain,
% 91.36/12.88  rdfs_container_member_range, rdfs_container_n_domain_001,
% 91.36/12.88  rdfs_container_n_domain_002, rdfs_container_n_domain_003,
% 91.36/12.88  rdfs_container_n_range_001, rdfs_container_n_range_002,
% 91.36/12.88  rdfs_container_n_range_003, rdfs_container_n_type_001,
% 91.36/12.88  rdfs_container_n_type_002, rdfs_container_n_type_003, rdfs_container_seq_sub,
% 91.36/12.88  rdfs_dat_xmlliteral_sub, rdfs_dat_xmlliteral_type,
% 91.36/12.88  rdfs_datatype_instsub_literal, rdfs_datatype_sub, rdfs_domain_domain,
% 91.36/12.88  rdfs_domain_main, rdfs_domain_range, rdfs_ic_def, rdfs_ir_def, rdfs_lv_def,
% 91.36/12.88  rdfs_property_type, rdfs_range_domain, rdfs_range_main, rdfs_range_range,
% 91.36/12.88  rdfs_reification_object_domain, rdfs_reification_object_range,
% 91.36/12.88  rdfs_reification_predicate_domain, rdfs_reification_predicate_range,
% 91.36/12.88  rdfs_reification_subject_domain, rdfs_reification_subject_range,
% 91.36/12.88  rdfs_subclassof_domain, rdfs_subclassof_main, rdfs_subclassof_range,
% 91.36/12.88  rdfs_subclassof_reflex, rdfs_subclassof_trans, rdfs_subpropertyof_domain,
% 91.36/12.88  rdfs_subpropertyof_main, rdfs_subpropertyof_range, rdfs_subpropertyof_reflex,
% 91.36/12.88  rdfs_subpropertyof_trans, rdfs_type_domain, rdfs_type_range, rdfs_value_domain,
% 91.36/12.88  rdfs_value_range, simple_iext_property, simple_ir, simple_lv
% 91.36/12.88  
% 91.36/12.88  Those formulas are unsatisfiable:
% 91.36/12.88  ---------------------------------
% 91.36/12.88  
% 91.36/12.88  Begin of proof
% 91.36/12.88  | 
% 91.36/12.88  | ALPHA: (rdfs_cext_def) implies:
% 91.36/12.88  |   (1)   ! [v0: $i] :  ! [v1: $i] : ( ~ (iext(uri_rdf_type, v0, v1) = 0) |  ~
% 91.36/12.88  |          $i(v1) |  ~ $i(v0) | icext(v1, v0) = 0)
% 91.36/12.88  | 
% 91.36/12.88  | ALPHA: (owl_eqdis_disjointwith) implies:
% 91.36/12.88  |   (2)   ! [v0: $i] :  ! [v1: $i] : ( ~ (iext(uri_owl_disjointWith, v0, v1) =
% 91.36/12.88  |            0) |  ~ $i(v1) |  ~ $i(v0) | (ic(v1) = 0 & ic(v0) = 0 &  ! [v2: $i]
% 91.36/12.88  |            : ( ~ (icext(v0, v2) = 0) |  ~ $i(v2) |  ? [v3: int] : ( ~ (v3 = 0)
% 91.36/12.88  |                & icext(v1, v2) = v3))))
% 91.36/12.88  | 
% 91.36/12.89  | ALPHA: (testcase_premise_fullish_011_Entity_Types_as_Classes) implies:
% 91.36/12.89  |   (3)  $i(uri_owl_Class)
% 91.36/12.89  |   (4)  $i(uri_owl_ObjectProperty)
% 91.36/12.89  |   (5)  $i(uri_ex_x)
% 91.36/12.89  |   (6)  iext(uri_rdf_type, uri_ex_x, uri_owl_Class) = 0
% 91.36/12.89  |   (7)  iext(uri_rdf_type, uri_ex_x, uri_owl_ObjectProperty) = 0
% 91.36/12.89  |   (8)  iext(uri_owl_disjointWith, uri_owl_Class, uri_owl_ObjectProperty) = 0
% 91.36/12.89  | 
% 91.36/12.89  | ALPHA: (function-axioms) implies:
% 91.36/12.89  |   (9)   ! [v0: MultipleValueBool] :  ! [v1: MultipleValueBool] :  ! [v2: $i] :
% 91.36/12.89  |         ! [v3: $i] : (v1 = v0 |  ~ (icext(v3, v2) = v1) |  ~ (icext(v3, v2) =
% 91.36/12.89  |            v0))
% 91.36/12.89  | 
% 91.36/12.89  | GROUND_INST: instantiating (1) with uri_ex_x, uri_owl_Class, simplifying with
% 91.36/12.89  |              (3), (5), (6) gives:
% 91.36/12.89  |   (10)  icext(uri_owl_Class, uri_ex_x) = 0
% 91.36/12.89  | 
% 91.36/12.89  | GROUND_INST: instantiating (1) with uri_ex_x, uri_owl_ObjectProperty,
% 91.36/12.89  |              simplifying with (4), (5), (7) gives:
% 91.36/12.89  |   (11)  icext(uri_owl_ObjectProperty, uri_ex_x) = 0
% 91.36/12.89  | 
% 91.36/12.89  | GROUND_INST: instantiating (2) with uri_owl_Class, uri_owl_ObjectProperty,
% 91.36/12.89  |              simplifying with (3), (4), (8) gives:
% 91.36/12.89  |   (12)  ic(uri_owl_ObjectProperty) = 0 & ic(uri_owl_Class) = 0 &  ! [v0: $i] :
% 91.36/12.89  |         ( ~ (icext(uri_owl_Class, v0) = 0) |  ~ $i(v0) |  ? [v1: int] : ( ~
% 91.36/12.89  |             (v1 = 0) & icext(uri_owl_ObjectProperty, v0) = v1))
% 91.36/12.89  | 
% 91.36/12.89  | ALPHA: (12) implies:
% 91.36/12.89  |   (13)   ! [v0: $i] : ( ~ (icext(uri_owl_Class, v0) = 0) |  ~ $i(v0) |  ? [v1:
% 91.36/12.89  |             int] : ( ~ (v1 = 0) & icext(uri_owl_ObjectProperty, v0) = v1))
% 91.36/12.89  | 
% 91.36/12.89  | GROUND_INST: instantiating (13) with uri_ex_x, simplifying with (5), (10)
% 91.36/12.89  |              gives:
% 91.36/12.89  |   (14)   ? [v0: int] : ( ~ (v0 = 0) & icext(uri_owl_ObjectProperty, uri_ex_x)
% 91.36/12.89  |           = v0)
% 91.36/12.89  | 
% 91.36/12.89  | DELTA: instantiating (14) with fresh symbol all_714_0 gives:
% 91.36/12.89  |   (15)   ~ (all_714_0 = 0) & icext(uri_owl_ObjectProperty, uri_ex_x) =
% 91.36/12.89  |         all_714_0
% 91.36/12.89  | 
% 91.36/12.89  | ALPHA: (15) implies:
% 91.36/12.89  |   (16)   ~ (all_714_0 = 0)
% 91.36/12.89  |   (17)  icext(uri_owl_ObjectProperty, uri_ex_x) = all_714_0
% 91.36/12.89  | 
% 91.36/12.89  | GROUND_INST: instantiating (9) with 0, all_714_0, uri_ex_x,
% 91.36/12.89  |              uri_owl_ObjectProperty, simplifying with (11), (17) gives:
% 91.36/12.89  |   (18)  all_714_0 = 0
% 91.36/12.89  | 
% 91.36/12.89  | REDUCE: (16), (18) imply:
% 91.36/12.89  |   (19)  $false
% 91.36/12.90  | 
% 91.36/12.90  | CLOSE: (19) is inconsistent.
% 91.36/12.90  | 
% 91.36/12.90  End of proof
% 91.36/12.90  % SZS output end Proof for theBenchmark
% 91.36/12.90  
% 91.36/12.90  12285ms
%------------------------------------------------------------------------------