%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SWB057+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 : n032.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Thu Aug 31 20:12:00 EDT 2023 % Result : Theorem 106.71s 15.37s % Output : Proof 185.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWB057+1 : TPTP v8.1.2. Released v5.2.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.14/0.33 % Computer : n032.cluster.edu % 0.14/0.33 % Model : x86_64 x86_64 % 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.33 % Memory : 8042.1875MB % 0.14/0.33 % 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 07:15:14 EDT 2023 % 0.14/0.34 % CPUTime : % 0.18/0.64 ________ _____ % 0.18/0.64 ___ __ \_________(_)________________________________ % 0.18/0.64 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.18/0.64 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.18/0.64 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.18/0.64 % 0.18/0.64 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.18/0.64 (2023-06-19) % 0.18/0.64 % 0.18/0.64 (c) Philipp Rümmer, 2009-2023 % 0.18/0.64 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.18/0.64 Amanda Stjerna. % 0.18/0.64 Free software under BSD-3-Clause. % 0.18/0.64 % 0.18/0.64 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.18/0.64 % 0.18/0.65 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.18/0.66 Running up to 7 provers in parallel. % 0.18/0.69 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.18/0.69 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.18/0.69 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.18/0.69 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.18/0.69 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.18/0.70 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.18/0.70 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 13.54/2.76 Prover 4: Preprocessing ... % 13.54/2.77 Prover 2: Preprocessing ... % 14.13/2.82 Prover 3: Preprocessing ... % 14.13/2.84 Prover 1: Preprocessing ... % 14.13/2.91 Prover 0: Preprocessing ... % 14.13/2.97 Prover 6: Preprocessing ... % 16.23/3.17 Prover 5: Preprocessing ... % 39.04/6.29 Prover 5: Proving ... % 41.62/6.63 Prover 2: Proving ... % 42.95/6.89 Prover 3: Constructing countermodel ... % 47.00/7.36 Prover 6: Proving ... % 48.10/7.51 Prover 1: Constructing countermodel ... % 86.41/12.62 Prover 2: stopped % 86.41/12.64 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 91.29/13.28 Prover 7: Preprocessing ... % 96.64/14.02 Prover 5: stopped % 96.98/14.03 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 99.98/14.70 Prover 7: Warning: ignoring some quantifiers % 103.66/14.93 Prover 7: Constructing countermodel ... % 103.85/14.94 Prover 8: Preprocessing ... % 106.71/15.36 Prover 3: proved (14673ms) % 106.71/15.36 % 106.71/15.37 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 106.71/15.37 % 106.71/15.37 Prover 6: stopped % 106.71/15.38 Prover 0: stopped % 107.13/15.39 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 107.13/15.39 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 107.13/15.39 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 110.81/15.91 Prover 11: Preprocessing ... % 111.72/16.00 Prover 13: Preprocessing ... % 111.72/16.03 Prover 1: stopped % 111.72/16.05 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 112.71/16.17 Prover 10: Preprocessing ... % 118.05/16.89 Prover 10: Warning: ignoring some quantifiers % 118.71/16.98 Prover 13: Warning: ignoring some quantifiers % 118.71/17.00 Prover 8: Warning: ignoring some quantifiers % 118.71/17.02 Prover 16: Preprocessing ... % 119.20/17.04 Prover 8: Constructing countermodel ... % 119.20/17.13 Prover 10: Constructing countermodel ... % 119.20/17.23 Prover 13: Constructing countermodel ... % 124.42/17.74 Prover 16: Warning: ignoring some quantifiers % 124.97/17.88 Prover 16: Constructing countermodel ... % 135.32/19.19 Prover 13: stopped % 135.32/19.22 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 140.46/19.96 Prover 19: Preprocessing ... % 143.27/20.25 Prover 16: stopped % 156.38/22.01 Prover 19: Warning: ignoring some quantifiers % 156.38/22.08 Prover 19: Constructing countermodel ... % 179.91/25.17 Prover 19: stopped % 185.51/25.87 Prover 8: Found proof (size 29) % 185.51/25.87 Prover 8: proved (11757ms) % 185.51/25.87 Prover 7: stopped % 185.51/25.87 Prover 4: stopped % 185.51/25.87 Prover 10: stopped % 185.51/25.88 Prover 11: stopped % 185.51/25.88 % 185.51/25.88 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 185.51/25.88 % 185.51/25.88 % SZS output start Proof for theBenchmark % 185.51/25.89 Assumptions after simplification: % 185.51/25.89 --------------------------------- % 185.51/25.89 % 185.51/25.89 (conclusion_rdfbased_sem_eqdis_different_ext) % 185.51/25.93 $i(uri_ex_u) & $i(uri_ex_w) & $i(uri_owl_differentFrom) & ? [v0: int] : ( ~ % 185.51/25.93 (v0 = 0) & iext(uri_owl_differentFrom, uri_ex_w, uri_ex_u) = v0) % 185.51/25.93 % 185.51/25.93 (owl_bool_complementof_class) % 185.51/25.93 $i(uri_owl_complementOf) & ! [v0: $i] : ! [v1: $i] : ( ~ % 185.51/25.93 (iext(uri_owl_complementOf, v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | (ic(v1) = % 185.51/25.93 0 & ic(v0) = 0 & ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ (icext(v0, v2) % 185.51/25.93 = v3) | ~ $i(v2) | icext(v1, v2) = 0) & ! [v2: $i] : ( ~ (icext(v0, % 185.51/25.93 v2) = 0) | ~ $i(v2) | ? [v3: int] : ( ~ (v3 = 0) & icext(v1, v2) = % 185.51/25.93 v3)))) % 185.51/25.93 % 185.51/25.93 (owl_eqdis_differentfrom) % 185.51/25.93 $i(uri_owl_differentFrom) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 % 185.51/25.93 | v1 = v0 | ~ (iext(uri_owl_differentFrom, v0, v1) = v2) | ~ $i(v1) | ~ % 185.51/25.93 $i(v0)) & ! [v0: $i] : ( ~ (iext(uri_owl_differentFrom, v0, v0) = 0) | ~ % 185.51/25.93 $i(v0)) % 185.51/25.93 % 185.51/25.93 (premise_rdfbased_sem_eqdis_different_ext) % 185.51/25.93 $i(uri_ex_c) & $i(uri_ex_u) & $i(uri_ex_w) & $i(uri_owl_complementOf) & % 185.51/25.93 $i(uri_rdf_type) & ? [v0: any] : (iext(uri_rdf_type, uri_ex_w, uri_ex_c) = v0 % 185.51/25.93 & ? [v1: $i] : (v0 = 0 & iext(uri_owl_complementOf, v1, uri_ex_c) = 0 & % 185.51/25.93 iext(uri_rdf_type, uri_ex_u, v1) = 0 & $i(v1))) % 185.51/25.93 % 185.51/25.93 (rdfs_cext_def) % 185.51/25.94 $i(uri_rdf_type) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ % 185.51/25.94 (iext(uri_rdf_type, v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( % 185.51/25.94 ~ (v3 = 0) & icext(v1, v0) = v3)) & ! [v0: $i] : ! [v1: $i] : ( ~ % 185.51/25.94 (iext(uri_rdf_type, v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | icext(v1, v0) = % 185.51/25.94 0) % 185.51/25.94 % 185.51/25.94 (function-axioms) % 185.51/25.94 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 185.51/25.94 [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (iext(v4, v3, v2) = v1) | ~ (iext(v4, % 185.51/25.94 v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : % 185.51/25.94 (v1 = v0 | ~ (literal_typed(v3, v2) = v1) | ~ (literal_typed(v3, v2) = v0)) % 185.51/25.94 & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 185.51/25.94 [v3: $i] : (v1 = v0 | ~ (icext(v3, v2) = v1) | ~ (icext(v3, v2) = v0)) & ! % 185.51/25.94 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 % 185.51/25.94 | ~ (ioxp(v2) = v1) | ~ (ioxp(v2) = v0)) & ! [v0: MultipleValueBool] : ! % 185.51/25.94 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (ix(v2) = v1) | ~ % 185.51/25.94 (ix(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 185.51/25.94 ! [v2: $i] : (v1 = v0 | ~ (iodp(v2) = v1) | ~ (iodp(v2) = v0)) & ! [v0: % 185.51/25.94 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 185.51/25.94 ~ (ioap(v2) = v1) | ~ (ioap(v2) = v0)) & ! [v0: MultipleValueBool] : ! % 185.51/25.94 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (idc(v2) = v1) | ~ % 185.51/25.94 (idc(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 185.51/25.94 ! [v2: $i] : (v1 = v0 | ~ (ic(v2) = v1) | ~ (ic(v2) = v0)) & ! [v0: % 185.51/25.94 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 185.51/25.94 ~ (lv(v2) = v1) | ~ (lv(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 185.51/25.94 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (ir(v2) = v1) | ~ (ir(v2) % 185.51/25.94 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 185.51/25.94 $i] : (v1 = v0 | ~ (ip(v2) = v1) | ~ (ip(v2) = v0)) & ? [v0: $i] : ? % 185.51/25.94 [v1: $i] : ? [v2: $i] : ? [v3: MultipleValueBool] : (iext(v2, v1, v0) = v3) % 185.51/25.94 & ? [v0: $i] : ? [v1: $i] : ? [v2: MultipleValueBool] : (icext(v1, v0) = % 185.51/25.94 v2) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (literal_typed(v1, v0) = v2 % 185.51/25.94 & $i(v2)) & ? [v0: $i] : ? [v1: MultipleValueBool] : (ioxp(v0) = v1) & ? % 185.51/25.94 [v0: $i] : ? [v1: MultipleValueBool] : (ix(v0) = v1) & ? [v0: $i] : ? [v1: % 185.51/25.94 MultipleValueBool] : (iodp(v0) = v1) & ? [v0: $i] : ? [v1: % 185.51/25.94 MultipleValueBool] : (ioap(v0) = v1) & ? [v0: $i] : ? [v1: % 185.51/25.94 MultipleValueBool] : (idc(v0) = v1) & ? [v0: $i] : ? [v1: % 185.51/25.94 MultipleValueBool] : (ic(v0) = v1) & ? [v0: $i] : ? [v1: % 185.51/25.94 MultipleValueBool] : (lv(v0) = v1) & ? [v0: $i] : ? [v1: % 185.51/25.94 MultipleValueBool] : (ir(v0) = v1) & ? [v0: $i] : ? [v1: % 185.51/25.94 MultipleValueBool] : (ip(v0) = v1) % 185.51/25.94 % 185.51/25.94 Further assumptions not needed in the proof: % 185.51/25.94 -------------------------------------------- % 185.51/25.95 owl_bool_datatypecomplementof, owl_bool_intersectionof_class_000, % 185.51/25.95 owl_bool_intersectionof_class_001, owl_bool_intersectionof_class_002, % 185.51/25.95 owl_bool_intersectionof_class_003, owl_bool_intersectionof_dtype_001, % 185.51/25.95 owl_bool_intersectionof_dtype_002, owl_bool_intersectionof_dtype_003, % 185.51/25.95 owl_bool_unionof_class_000, owl_bool_unionof_class_001, % 185.51/25.95 owl_bool_unionof_class_002, owl_bool_unionof_class_003, % 185.51/25.95 owl_bool_unionof_dtype_001, owl_bool_unionof_dtype_002, % 185.51/25.95 owl_bool_unionof_dtype_003, owl_chain_000, owl_chain_001, owl_chain_002, % 185.51/25.95 owl_chain_003, owl_char_asymmetric, owl_char_functional, % 185.51/25.95 owl_char_inversefunctional, owl_char_irreflexive, owl_char_reflexive, % 185.51/25.95 owl_char_symmetric, owl_char_transitive, owl_class_alldifferent_ext, % 185.51/25.95 owl_class_alldifferent_type, owl_class_alldisjointclasses_ext, % 185.51/25.95 owl_class_alldisjointclasses_type, owl_class_alldisjointproperties_ext, % 185.51/25.95 owl_class_alldisjointproperties_type, owl_class_annotation_ext, % 185.51/25.95 owl_class_annotation_type, owl_class_annotationproperty_ext, % 185.51/25.95 owl_class_annotationproperty_type, owl_class_asymmetricproperty_ext, % 185.51/25.95 owl_class_asymmetricproperty_type, owl_class_axiom_ext, owl_class_axiom_type, % 185.51/25.95 owl_class_classowl_ext, owl_class_classowl_type, owl_class_classrdfs_ext, % 185.51/25.95 owl_class_classrdfs_type, owl_class_datarange_ext, owl_class_datarange_type, % 185.51/25.95 owl_class_datatype_ext, owl_class_datatype_type, owl_class_datatypeproperty_ext, % 185.51/25.95 owl_class_datatypeproperty_type, owl_class_deprecatedclass_ext, % 185.51/25.95 owl_class_deprecatedclass_type, owl_class_deprecatedproperty_ext, % 185.51/25.95 owl_class_deprecatedproperty_type, owl_class_functionalproperty_ext, % 185.51/25.95 owl_class_functionalproperty_type, owl_class_inversefunctionalproperty_ext, % 185.51/25.95 owl_class_inversefunctionalproperty_type, owl_class_irreflexiveproperty_ext, % 185.51/25.95 owl_class_irreflexiveproperty_type, owl_class_literal_ext, % 185.51/25.95 owl_class_literal_type, owl_class_namedindividual_ext, % 185.51/25.95 owl_class_namedindividual_type, owl_class_negativepropertyassertion_ext, % 185.51/25.95 owl_class_negativepropertyassertion_type, owl_class_nothing_ext, % 185.51/25.95 owl_class_nothing_type, owl_class_objectproperty_ext, % 185.51/25.95 owl_class_objectproperty_type, owl_class_ontology_ext, owl_class_ontology_type, % 185.51/25.95 owl_class_ontologyproperty_ext, owl_class_ontologyproperty_type, % 185.51/25.95 owl_class_property_ext, owl_class_property_type, % 185.51/25.95 owl_class_reflexiveproperty_ext, owl_class_reflexiveproperty_type, % 185.51/25.95 owl_class_resource_ext, owl_class_resource_type, owl_class_restriction_ext, % 185.51/25.95 owl_class_restriction_type, owl_class_symmetricproperty_ext, % 185.51/25.95 owl_class_symmetricproperty_type, owl_class_thing_ext, owl_class_thing_type, % 185.51/25.95 owl_class_transitiveproperty_ext, owl_class_transitiveproperty_type, % 185.51/25.95 owl_dat_dtype_anyuri_ext, owl_dat_dtype_anyuri_type, % 185.51/25.95 owl_dat_dtype_base64binary_ext, owl_dat_dtype_base64binary_type, % 185.51/25.95 owl_dat_dtype_boolean_ext, owl_dat_dtype_boolean_type, owl_dat_dtype_byte_ext, % 185.51/25.95 owl_dat_dtype_byte_type, owl_dat_dtype_datetime_ext, % 185.51/25.95 owl_dat_dtype_datetime_type, owl_dat_dtype_datetimestamp_ext, % 185.51/25.95 owl_dat_dtype_datetimestamp_type, owl_dat_dtype_decimal_ext, % 185.51/25.95 owl_dat_dtype_decimal_type, owl_dat_dtype_double_ext, owl_dat_dtype_double_type, % 185.51/25.95 owl_dat_dtype_float_ext, owl_dat_dtype_float_type, owl_dat_dtype_hexbinary_ext, % 185.51/25.95 owl_dat_dtype_hexbinary_type, owl_dat_dtype_int_ext, owl_dat_dtype_int_type, % 185.51/25.95 owl_dat_dtype_integer_ext, owl_dat_dtype_integer_type, % 185.51/25.95 owl_dat_dtype_language_ext, owl_dat_dtype_language_type, owl_dat_dtype_long_ext, % 185.51/25.95 owl_dat_dtype_long_type, owl_dat_dtype_name_ext, owl_dat_dtype_name_type, % 185.51/25.95 owl_dat_dtype_ncname_ext, owl_dat_dtype_ncname_type, % 185.51/25.95 owl_dat_dtype_negativeinteger_ext, owl_dat_dtype_negativeinteger_type, % 185.51/25.95 owl_dat_dtype_nmtoken_ext, owl_dat_dtype_nmtoken_type, % 185.51/25.95 owl_dat_dtype_nonnegativeinteger_ext, owl_dat_dtype_nonnegativeinteger_type, % 185.51/25.95 owl_dat_dtype_nonpositiveinteger_ext, owl_dat_dtype_nonpositiveinteger_type, % 185.51/25.95 owl_dat_dtype_normalizedstring_ext, owl_dat_dtype_normalizedstring_type, % 185.51/25.95 owl_dat_dtype_plainliteral_ext, owl_dat_dtype_plainliteral_type, % 185.51/25.95 owl_dat_dtype_positiveinteger_ext, owl_dat_dtype_positiveinteger_type, % 185.51/25.95 owl_dat_dtype_rational_ext, owl_dat_dtype_rational_type, owl_dat_dtype_real_ext, % 185.51/25.95 owl_dat_dtype_real_type, owl_dat_dtype_relation_disjoint_anyuri_base64binary, % 185.51/25.95 owl_dat_dtype_relation_disjoint_anyuri_boolean, % 185.51/25.95 owl_dat_dtype_relation_disjoint_anyuri_datetime, % 185.51/25.95 owl_dat_dtype_relation_disjoint_anyuri_double, % 185.51/25.95 owl_dat_dtype_relation_disjoint_anyuri_float, % 185.51/25.95 owl_dat_dtype_relation_disjoint_anyuri_hexbinary, % 185.51/25.95 owl_dat_dtype_relation_disjoint_anyuri_plainliteral, % 185.51/25.95 owl_dat_dtype_relation_disjoint_anyuri_real, % 185.51/25.95 owl_dat_dtype_relation_disjoint_anyuri_xmlliteral, % 185.51/25.95 owl_dat_dtype_relation_disjoint_base64binary_boolean, % 185.51/25.95 owl_dat_dtype_relation_disjoint_base64binary_datetime, % 185.51/25.95 owl_dat_dtype_relation_disjoint_base64binary_double, % 185.51/25.95 owl_dat_dtype_relation_disjoint_base64binary_float, % 185.51/25.95 owl_dat_dtype_relation_disjoint_base64binary_hexbinary, % 185.51/25.95 owl_dat_dtype_relation_disjoint_base64binary_plainliteral, % 185.51/25.95 owl_dat_dtype_relation_disjoint_base64binary_real, % 185.51/25.95 owl_dat_dtype_relation_disjoint_base64binary_xmlliteral, % 185.51/25.95 owl_dat_dtype_relation_disjoint_boolean_datetime, % 185.51/25.95 owl_dat_dtype_relation_disjoint_boolean_double, % 185.51/25.95 owl_dat_dtype_relation_disjoint_boolean_float, % 185.51/25.95 owl_dat_dtype_relation_disjoint_boolean_hexbinary, % 185.51/25.95 owl_dat_dtype_relation_disjoint_boolean_plainliteral, % 185.51/25.95 owl_dat_dtype_relation_disjoint_boolean_real, % 185.51/25.95 owl_dat_dtype_relation_disjoint_boolean_xmlliteral, % 185.51/25.95 owl_dat_dtype_relation_disjoint_datetime_double, % 185.51/25.95 owl_dat_dtype_relation_disjoint_datetime_float, % 185.51/25.95 owl_dat_dtype_relation_disjoint_datetime_hexbinary, % 185.51/25.95 owl_dat_dtype_relation_disjoint_datetime_plainliteral, % 185.51/25.95 owl_dat_dtype_relation_disjoint_datetime_real, % 185.51/25.95 owl_dat_dtype_relation_disjoint_datetime_xmlliteral, % 185.51/25.95 owl_dat_dtype_relation_disjoint_double_float, % 185.51/25.95 owl_dat_dtype_relation_disjoint_double_hexbinary, % 185.51/25.95 owl_dat_dtype_relation_disjoint_double_plainliteral, % 185.51/25.95 owl_dat_dtype_relation_disjoint_double_real, % 185.51/25.95 owl_dat_dtype_relation_disjoint_double_xmlliteral, % 185.51/25.95 owl_dat_dtype_relation_disjoint_float_hexbinary, % 185.51/25.95 owl_dat_dtype_relation_disjoint_float_plainliteral, % 185.51/25.95 owl_dat_dtype_relation_disjoint_float_real, % 185.51/25.95 owl_dat_dtype_relation_disjoint_float_xmlliteral, % 185.51/25.95 owl_dat_dtype_relation_disjoint_hexbinary_plainliteral, % 185.51/25.95 owl_dat_dtype_relation_disjoint_hexbinary_real, % 185.51/25.95 owl_dat_dtype_relation_disjoint_hexbinary_xmlliteral, % 185.51/25.95 owl_dat_dtype_relation_disjoint_plainliteral_real, % 185.51/25.95 owl_dat_dtype_relation_disjoint_plainliteral_xmlliteral, % 185.51/25.95 owl_dat_dtype_relation_disjoint_real_xmlliteral, % 185.51/25.95 owl_dat_dtype_relation_subtype_byte_short, % 185.51/25.95 owl_dat_dtype_relation_subtype_datetimestamp_datetime, % 185.51/25.95 owl_dat_dtype_relation_subtype_decimal_rational, % 185.51/25.95 owl_dat_dtype_relation_subtype_int_long, % 185.51/25.95 owl_dat_dtype_relation_subtype_integer_decimal, % 185.51/25.95 owl_dat_dtype_relation_subtype_language_token, % 185.51/25.95 owl_dat_dtype_relation_subtype_long_integer, % 185.51/25.95 owl_dat_dtype_relation_subtype_name_token, % 185.51/25.95 owl_dat_dtype_relation_subtype_ncname_name, % 185.51/25.95 owl_dat_dtype_relation_subtype_negativeinteger_nonpositiveinteger, % 185.51/25.95 owl_dat_dtype_relation_subtype_nmtoken_token, % 185.51/25.95 owl_dat_dtype_relation_subtype_nonnegativeinteger_integer, % 185.51/25.95 owl_dat_dtype_relation_subtype_nonpositiveinteger_integer, % 185.51/25.95 owl_dat_dtype_relation_subtype_normalizedstring_string, % 185.51/25.95 owl_dat_dtype_relation_subtype_positiveinteger_nonnegativeinteger, % 185.51/25.95 owl_dat_dtype_relation_subtype_rational_real, % 185.51/25.95 owl_dat_dtype_relation_subtype_short_int, % 185.51/25.95 owl_dat_dtype_relation_subtype_string_plainliteral, % 185.51/25.95 owl_dat_dtype_relation_subtype_token_normalizedstring, % 185.51/25.95 owl_dat_dtype_relation_subtype_unsignedbyte_unsignedshort, % 185.51/25.95 owl_dat_dtype_relation_subtype_unsignedint_unsignedlong, % 185.51/25.95 owl_dat_dtype_relation_subtype_unsignedlong_nonnegativeinteger, % 185.51/25.95 owl_dat_dtype_relation_subtype_unsignedshort_unsignedint, % 185.51/25.95 owl_dat_dtype_short_ext, owl_dat_dtype_short_type, owl_dat_dtype_string_ext, % 185.51/25.95 owl_dat_dtype_string_type, owl_dat_dtype_token_ext, owl_dat_dtype_token_type, % 185.51/25.95 owl_dat_dtype_unsignedbyte_ext, owl_dat_dtype_unsignedbyte_type, % 185.51/25.95 owl_dat_dtype_unsignedint_ext, owl_dat_dtype_unsignedint_type, % 185.51/25.95 owl_dat_dtype_unsignedlong_ext, owl_dat_dtype_unsignedlong_type, % 185.51/25.95 owl_dat_dtype_unsignedshort_ext, owl_dat_dtype_unsignedshort_type, % 185.51/25.95 owl_dat_dtype_xmlliteral_ext, owl_dat_dtype_xmlliteral_type, % 185.51/25.95 owl_dat_facet_langrange_ext, owl_dat_facet_langrange_type, % 185.51/25.95 owl_dat_facet_length_ext, owl_dat_facet_length_type, % 185.51/25.95 owl_dat_facet_maxexclusive_ext, owl_dat_facet_maxexclusive_type, % 185.51/25.95 owl_dat_facet_maxinclusive_ext, owl_dat_facet_maxinclusive_type, % 185.51/25.95 owl_dat_facet_maxlength_ext, owl_dat_facet_maxlength_type, % 185.51/25.95 owl_dat_facet_minexclusive_ext, owl_dat_facet_minexclusive_type, % 185.51/25.95 owl_dat_facet_mininclusive_ext, owl_dat_facet_mininclusive_type, % 185.51/25.95 owl_dat_facet_minlength_ext, owl_dat_facet_minlength_type, % 185.51/25.95 owl_dat_facet_pattern_ext, owl_dat_facet_pattern_type, owl_enum_class_000, % 185.51/25.95 owl_enum_class_001, owl_enum_class_002, owl_enum_class_003, owl_enum_dtype_001, % 185.51/25.95 owl_enum_dtype_002, owl_enum_dtype_003, owl_eqdis_disjointunionof_000, % 185.51/25.95 owl_eqdis_disjointunionof_001, owl_eqdis_disjointunionof_002, % 185.51/25.95 owl_eqdis_disjointunionof_003, owl_eqdis_disjointwith, % 185.51/25.95 owl_eqdis_equivalentclass, owl_eqdis_equivalentproperty, % 185.51/25.95 owl_eqdis_propertydisjointwith, owl_eqdis_sameas, owl_inv, owl_key_000, % 185.51/25.95 owl_key_001, owl_key_002, owl_key_003, % 185.51/25.95 owl_ndis_alldifferent_distinctmembers_fi_000, % 185.51/25.95 owl_ndis_alldifferent_distinctmembers_fi_001, % 185.51/25.95 owl_ndis_alldifferent_distinctmembers_fi_002, % 185.51/25.95 owl_ndis_alldifferent_distinctmembers_fi_003, % 185.51/25.95 owl_ndis_alldifferent_distinctmembers_if_000, % 185.51/25.95 owl_ndis_alldifferent_distinctmembers_if_001, % 185.51/25.95 owl_ndis_alldifferent_distinctmembers_if_002, % 185.51/25.95 owl_ndis_alldifferent_distinctmembers_if_003, % 185.51/25.95 owl_ndis_alldifferent_members_fi_000, owl_ndis_alldifferent_members_fi_001, % 185.51/25.95 owl_ndis_alldifferent_members_fi_002, owl_ndis_alldifferent_members_fi_003, % 185.51/25.95 owl_ndis_alldifferent_members_if_000, owl_ndis_alldifferent_members_if_001, % 185.51/25.95 owl_ndis_alldifferent_members_if_002, owl_ndis_alldifferent_members_if_003, % 185.51/25.95 owl_ndis_alldisjointclasses_fi_000, owl_ndis_alldisjointclasses_fi_001, % 185.51/25.95 owl_ndis_alldisjointclasses_fi_002, owl_ndis_alldisjointclasses_fi_003, % 185.51/25.95 owl_ndis_alldisjointclasses_if_000, owl_ndis_alldisjointclasses_if_001, % 185.51/25.95 owl_ndis_alldisjointclasses_if_002, owl_ndis_alldisjointclasses_if_003, % 185.51/25.95 owl_ndis_alldisjointproperties_fi_000, owl_ndis_alldisjointproperties_fi_001, % 185.51/25.95 owl_ndis_alldisjointproperties_fi_002, owl_ndis_alldisjointproperties_fi_003, % 185.51/25.95 owl_ndis_alldisjointproperties_if_000, owl_ndis_alldisjointproperties_if_001, % 185.51/25.95 owl_ndis_alldisjointproperties_if_002, owl_ndis_alldisjointproperties_if_003, % 185.51/25.95 owl_npa_data_fi, owl_npa_data_if, owl_npa_object_fi, owl_npa_object_if, % 185.51/25.95 owl_parts_ic_cond_inst, owl_parts_ic_cond_set, owl_parts_ic_def, % 185.51/25.95 owl_parts_idc_cond_inst, owl_parts_idc_cond_set, owl_parts_idc_def, % 185.51/25.95 owl_parts_ioap_cond_inst, owl_parts_ioap_cond_set, owl_parts_ioap_def, % 185.51/25.95 owl_parts_iodp_cond_inst, owl_parts_iodp_cond_set, owl_parts_iodp_def, % 185.51/25.95 owl_parts_ioxp_cond_inst, owl_parts_ioxp_cond_set, owl_parts_ioxp_def, % 185.51/25.95 owl_parts_ip_cond_inst, owl_parts_ip_cond_set, owl_parts_ip_def, % 185.51/25.95 owl_parts_ir_cond_set, owl_parts_ir_def, owl_parts_ix_cond_set, % 185.51/25.95 owl_parts_ix_def, owl_parts_lv_cond_set, owl_parts_lv_def, % 185.51/25.95 owl_prop_allvaluesfrom_ext, owl_prop_allvaluesfrom_type, % 185.51/25.95 owl_prop_annotatedproperty_ext, owl_prop_annotatedproperty_type, % 185.51/25.95 owl_prop_annotatedsource_ext, owl_prop_annotatedsource_type, % 185.51/25.95 owl_prop_annotatedtarget_ext, owl_prop_annotatedtarget_type, % 185.51/25.95 owl_prop_assertionproperty_ext, owl_prop_assertionproperty_type, % 185.51/25.95 owl_prop_backwardcompatiblewith_ext, owl_prop_backwardcompatiblewith_type_annot, % 185.51/25.95 owl_prop_backwardcompatiblewith_type_onto, owl_prop_bottomdataproperty_ext, % 185.51/25.95 owl_prop_bottomdataproperty_type, owl_prop_bottomobjectproperty_ext, % 185.51/25.95 owl_prop_bottomobjectproperty_type, owl_prop_cardinality_ext, % 185.51/25.95 owl_prop_cardinality_type, owl_prop_comment_ext, owl_prop_comment_type, % 185.51/25.95 owl_prop_complementof_ext, owl_prop_complementof_type, % 185.51/25.95 owl_prop_datatypecomplementof_ext, owl_prop_datatypecomplementof_type, % 185.51/25.95 owl_prop_deprecated_ext, owl_prop_deprecated_type, owl_prop_differentfrom_ext, % 185.51/25.95 owl_prop_differentfrom_type, owl_prop_disjointunionof_ext, % 185.51/25.95 owl_prop_disjointunionof_type, owl_prop_disjointwith_ext, % 185.51/25.95 owl_prop_disjointwith_type, owl_prop_distinctmembers_ext, % 185.51/25.95 owl_prop_distinctmembers_type, owl_prop_equivalentclass_ext, % 185.51/25.95 owl_prop_equivalentclass_type, owl_prop_equivalentproperty_ext, % 185.51/25.95 owl_prop_equivalentproperty_type, owl_prop_haskey_ext, owl_prop_haskey_type, % 185.51/25.95 owl_prop_hasself_ext, owl_prop_hasself_type, owl_prop_hasvalue_ext, % 185.51/25.95 owl_prop_hasvalue_type, owl_prop_imports_ext, owl_prop_imports_type, % 185.51/25.95 owl_prop_incompatiblewith_ext, owl_prop_incompatiblewith_type_annot, % 185.51/25.95 owl_prop_incompatiblewith_type_onto, owl_prop_intersectionof_ext, % 185.51/25.95 owl_prop_intersectionof_type, owl_prop_inverseof_ext, owl_prop_inverseof_type, % 185.51/25.95 owl_prop_isdefinedby_ext, owl_prop_isdefinedby_type, owl_prop_label_ext, % 185.51/25.95 owl_prop_label_type, owl_prop_maxcardinality_ext, owl_prop_maxcardinality_type, % 185.51/25.95 owl_prop_maxqualifiedcardinality_ext, owl_prop_maxqualifiedcardinality_type, % 185.51/25.95 owl_prop_members_ext, owl_prop_members_type, owl_prop_mincardinality_ext, % 185.51/25.95 owl_prop_mincardinality_type, owl_prop_minqualifiedcardinality_ext, % 185.51/25.95 owl_prop_minqualifiedcardinality_type, owl_prop_onclass_ext, % 185.51/25.95 owl_prop_onclass_type, owl_prop_ondatarange_ext, owl_prop_ondatarange_type, % 185.51/25.95 owl_prop_ondatatype_ext, owl_prop_ondatatype_type, owl_prop_oneof_ext, % 185.51/25.95 owl_prop_oneof_type, owl_prop_onproperty_ext, owl_prop_onproperty_type, % 185.51/25.95 owl_prop_priorversion_ext, owl_prop_priorversion_type_annot, % 185.51/25.95 owl_prop_priorversion_type_onto, owl_prop_propertychainaxiom_ext, % 185.51/25.95 owl_prop_propertychainaxiom_type, owl_prop_propertydisjointwith_ext, % 185.51/25.95 owl_prop_propertydisjointwith_type, owl_prop_qualifiedcardinality_ext, % 185.51/25.95 owl_prop_qualifiedcardinality_type, owl_prop_sameas_ext, owl_prop_sameas_type, % 185.51/25.95 owl_prop_seealso_ext, owl_prop_seealso_type, owl_prop_somevaluesfrom_ext, % 185.51/25.95 owl_prop_somevaluesfrom_type, owl_prop_sourceindividual_ext, % 185.51/25.95 owl_prop_sourceindividual_type, owl_prop_targetindividual_ext, % 185.51/25.95 owl_prop_targetindividual_type, owl_prop_targetvalue_ext, % 185.51/25.95 owl_prop_targetvalue_type, owl_prop_topdataproperty_ext, % 185.51/25.95 owl_prop_topdataproperty_type, owl_prop_topobjectproperty_ext, % 185.51/25.95 owl_prop_topobjectproperty_type, owl_prop_unionof_ext, owl_prop_unionof_type, % 185.51/25.95 owl_prop_versioninfo_ext, owl_prop_versioninfo_type, owl_prop_versioniri_ext, % 185.51/25.95 owl_prop_versioniri_type, owl_prop_withrestrictions_ext, % 185.51/25.95 owl_prop_withrestrictions_type, owl_rdfsext_domain, owl_rdfsext_range, % 185.51/25.95 owl_rdfsext_subclassof, owl_rdfsext_subpropertyof, owl_restrict_allvaluesfrom, % 185.51/25.95 owl_restrict_exactcard_000, owl_restrict_exactcard_001, % 185.51/25.95 owl_restrict_exactcard_002, owl_restrict_exactcard_003, % 185.51/25.95 owl_restrict_exactqcr_data_000, owl_restrict_exactqcr_data_001, % 185.51/25.95 owl_restrict_exactqcr_data_002, owl_restrict_exactqcr_data_003, % 185.51/25.95 owl_restrict_exactqcr_object_000, owl_restrict_exactqcr_object_001, % 185.51/25.95 owl_restrict_exactqcr_object_002, owl_restrict_exactqcr_object_003, % 185.51/25.95 owl_restrict_hasself, owl_restrict_hasvalue, owl_restrict_maxcard_000, % 185.51/25.95 owl_restrict_maxcard_001, owl_restrict_maxcard_002, owl_restrict_maxcard_003, % 185.51/25.95 owl_restrict_maxqcr_data_000, owl_restrict_maxqcr_data_001, % 185.51/25.95 owl_restrict_maxqcr_data_002, owl_restrict_maxqcr_data_003, % 185.51/25.95 owl_restrict_maxqcr_object_000, owl_restrict_maxqcr_object_001, % 185.51/25.95 owl_restrict_maxqcr_object_002, owl_restrict_maxqcr_object_003, % 185.51/25.95 owl_restrict_mincard_000, owl_restrict_mincard_001, owl_restrict_mincard_002, % 185.51/25.95 owl_restrict_mincard_003, owl_restrict_minqcr_data_000, % 185.51/25.95 owl_restrict_minqcr_data_001, owl_restrict_minqcr_data_002, % 185.51/25.95 owl_restrict_minqcr_data_003, owl_restrict_minqcr_object_000, % 185.51/25.95 owl_restrict_minqcr_object_001, owl_restrict_minqcr_object_002, % 185.51/25.95 owl_restrict_minqcr_object_003, owl_restrict_somevaluesfrom, % 185.51/25.95 rdf_collection_first_type, rdf_collection_nil_type, rdf_collection_rest_type, % 185.51/25.95 rdf_container_n_type_001, rdf_container_n_type_002, rdf_container_n_type_003, % 185.51/25.95 rdf_reification_object_type, rdf_reification_predicate_type, % 185.51/25.95 rdf_reification_subject_type, rdf_type_ip, rdf_type_type, rdf_value_type, % 185.51/25.95 rdfs_annotation_comment_domain, rdfs_annotation_comment_range, % 185.51/25.95 rdfs_annotation_isdefinedby_domain, rdfs_annotation_isdefinedby_range, % 185.51/25.95 rdfs_annotation_isdefinedby_sub, rdfs_annotation_label_domain, % 185.51/25.95 rdfs_annotation_label_range, rdfs_annotation_seealso_domain, % 185.51/25.95 rdfs_annotation_seealso_range, rdfs_class_instsub_resource, % 185.51/25.95 rdfs_collection_first_domain, rdfs_collection_first_range, % 185.51/25.95 rdfs_collection_rest_domain, rdfs_collection_rest_range, rdfs_container_alt_sub, % 185.51/25.95 rdfs_container_bag_sub, % 185.51/25.95 rdfs_container_containermembershipproperty_instsub_member, % 185.51/25.95 rdfs_container_containermembershipproperty_sub, rdfs_container_member_domain, % 185.51/25.95 rdfs_container_member_range, rdfs_container_n_domain_001, % 185.51/25.95 rdfs_container_n_domain_002, rdfs_container_n_domain_003, % 185.51/25.95 rdfs_container_n_range_001, rdfs_container_n_range_002, % 185.51/25.95 rdfs_container_n_range_003, rdfs_container_n_type_001, % 185.51/25.95 rdfs_container_n_type_002, rdfs_container_n_type_003, rdfs_container_seq_sub, % 185.51/25.95 rdfs_dat_xmlliteral_sub, rdfs_dat_xmlliteral_type, % 185.51/25.95 rdfs_datatype_instsub_literal, rdfs_datatype_sub, rdfs_domain_domain, % 185.51/25.95 rdfs_domain_main, rdfs_domain_range, rdfs_ic_def, rdfs_ir_def, rdfs_lv_def, % 185.51/25.95 rdfs_property_type, rdfs_range_domain, rdfs_range_main, rdfs_range_range, % 185.51/25.95 rdfs_reification_object_domain, rdfs_reification_object_range, % 185.51/25.95 rdfs_reification_predicate_domain, rdfs_reification_predicate_range, % 185.51/25.95 rdfs_reification_subject_domain, rdfs_reification_subject_range, % 185.51/25.95 rdfs_subclassof_domain, rdfs_subclassof_main, rdfs_subclassof_range, % 185.51/25.95 rdfs_subclassof_reflex, rdfs_subclassof_trans, rdfs_subpropertyof_domain, % 185.51/25.95 rdfs_subpropertyof_main, rdfs_subpropertyof_range, rdfs_subpropertyof_reflex, % 185.51/25.95 rdfs_subpropertyof_trans, rdfs_type_domain, rdfs_type_range, rdfs_value_domain, % 185.51/25.95 rdfs_value_range, simple_iext_property, simple_ir, simple_lv % 185.51/25.95 % 185.51/25.95 Those formulas are unsatisfiable: % 185.51/25.95 --------------------------------- % 185.51/25.95 % 185.51/25.95 Begin of proof % 185.51/25.95 | % 185.51/25.95 | ALPHA: (rdfs_cext_def) implies: % 185.51/25.95 | (1) ! [v0: $i] : ! [v1: $i] : ( ~ (iext(uri_rdf_type, v0, v1) = 0) | ~ % 185.51/25.95 | $i(v1) | ~ $i(v0) | icext(v1, v0) = 0) % 185.51/25.95 | % 185.51/25.95 | ALPHA: (owl_bool_complementof_class) implies: % 185.51/25.95 | (2) ! [v0: $i] : ! [v1: $i] : ( ~ (iext(uri_owl_complementOf, v0, v1) = % 185.51/25.95 | 0) | ~ $i(v1) | ~ $i(v0) | (ic(v1) = 0 & ic(v0) = 0 & ! [v2: $i] % 185.51/25.95 | : ! [v3: int] : (v3 = 0 | ~ (icext(v0, v2) = v3) | ~ $i(v2) | % 185.51/25.95 | icext(v1, v2) = 0) & ! [v2: $i] : ( ~ (icext(v0, v2) = 0) | ~ % 185.51/25.95 | $i(v2) | ? [v3: int] : ( ~ (v3 = 0) & icext(v1, v2) = v3)))) % 185.51/25.95 | % 185.51/25.95 | ALPHA: (owl_eqdis_differentfrom) implies: % 185.51/25.95 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | v1 = v0 | ~ % 185.51/25.95 | (iext(uri_owl_differentFrom, v0, v1) = v2) | ~ $i(v1) | ~ $i(v0)) % 185.51/25.95 | % 185.51/25.95 | ALPHA: (premise_rdfbased_sem_eqdis_different_ext) implies: % 185.51/25.95 | (4) $i(uri_ex_c) % 185.51/25.96 | (5) ? [v0: any] : (iext(uri_rdf_type, uri_ex_w, uri_ex_c) = v0 & ? [v1: % 185.51/25.96 | $i] : (v0 = 0 & iext(uri_owl_complementOf, v1, uri_ex_c) = 0 & % 185.51/25.96 | iext(uri_rdf_type, uri_ex_u, v1) = 0 & $i(v1))) % 185.51/25.96 | % 185.51/25.96 | ALPHA: (conclusion_rdfbased_sem_eqdis_different_ext) implies: % 185.51/25.96 | (6) $i(uri_ex_w) % 185.51/25.96 | (7) $i(uri_ex_u) % 185.51/25.96 | (8) ? [v0: int] : ( ~ (v0 = 0) & iext(uri_owl_differentFrom, uri_ex_w, % 185.51/25.96 | uri_ex_u) = v0) % 185.51/25.96 | % 185.51/25.96 | ALPHA: (function-axioms) implies: % 185.51/25.96 | (9) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 185.51/25.96 | ! [v3: $i] : (v1 = v0 | ~ (icext(v3, v2) = v1) | ~ (icext(v3, v2) = % 185.51/25.96 | v0)) % 185.51/25.96 | % 185.51/25.96 | DELTA: instantiating (8) with fresh symbol all_346_0 gives: % 185.51/25.96 | (10) ~ (all_346_0 = 0) & iext(uri_owl_differentFrom, uri_ex_w, uri_ex_u) = % 185.51/25.96 | all_346_0 % 185.51/25.96 | % 185.51/25.96 | ALPHA: (10) implies: % 185.51/25.96 | (11) ~ (all_346_0 = 0) % 185.51/25.96 | (12) iext(uri_owl_differentFrom, uri_ex_w, uri_ex_u) = all_346_0 % 185.51/25.96 | % 185.51/25.96 | DELTA: instantiating (5) with fresh symbol all_358_0 gives: % 185.51/25.96 | (13) iext(uri_rdf_type, uri_ex_w, uri_ex_c) = all_358_0 & ? [v0: $i] : % 185.51/25.96 | (all_358_0 = 0 & iext(uri_owl_complementOf, v0, uri_ex_c) = 0 & % 185.51/25.96 | iext(uri_rdf_type, uri_ex_u, v0) = 0 & $i(v0)) % 185.51/25.96 | % 185.51/25.96 | ALPHA: (13) implies: % 185.51/25.96 | (14) iext(uri_rdf_type, uri_ex_w, uri_ex_c) = all_358_0 % 185.51/25.96 | (15) ? [v0: $i] : (all_358_0 = 0 & iext(uri_owl_complementOf, v0, % 185.51/25.96 | uri_ex_c) = 0 & iext(uri_rdf_type, uri_ex_u, v0) = 0 & $i(v0)) % 185.51/25.96 | % 185.51/25.96 | DELTA: instantiating (15) with fresh symbol all_468_0 gives: % 185.51/25.96 | (16) all_358_0 = 0 & iext(uri_owl_complementOf, all_468_0, uri_ex_c) = 0 & % 185.51/25.96 | iext(uri_rdf_type, uri_ex_u, all_468_0) = 0 & $i(all_468_0) % 185.51/25.96 | % 185.51/25.96 | ALPHA: (16) implies: % 185.51/25.96 | (17) all_358_0 = 0 % 185.51/25.96 | (18) $i(all_468_0) % 185.51/25.96 | (19) iext(uri_rdf_type, uri_ex_u, all_468_0) = 0 % 185.51/25.96 | (20) iext(uri_owl_complementOf, all_468_0, uri_ex_c) = 0 % 185.51/25.96 | % 185.51/25.96 | REDUCE: (14), (17) imply: % 185.51/25.96 | (21) iext(uri_rdf_type, uri_ex_w, uri_ex_c) = 0 % 185.51/25.96 | % 185.51/25.96 | GROUND_INST: instantiating (1) with uri_ex_w, uri_ex_c, simplifying with (4), % 185.51/25.96 | (6), (21) gives: % 185.51/25.96 | (22) icext(uri_ex_c, uri_ex_w) = 0 % 185.51/25.96 | % 185.51/25.96 | GROUND_INST: instantiating (1) with uri_ex_u, all_468_0, simplifying with (7), % 185.51/25.96 | (18), (19) gives: % 185.51/25.96 | (23) icext(all_468_0, uri_ex_u) = 0 % 185.51/25.96 | % 185.51/25.96 | GROUND_INST: instantiating (2) with all_468_0, uri_ex_c, simplifying with (4), % 185.51/25.96 | (18), (20) gives: % 185.51/25.96 | (24) ic(all_468_0) = 0 & ic(uri_ex_c) = 0 & ! [v0: $i] : ! [v1: int] : % 185.51/25.96 | (v1 = 0 | ~ (icext(all_468_0, v0) = v1) | ~ $i(v0) | icext(uri_ex_c, % 185.51/25.96 | v0) = 0) & ! [v0: $i] : ( ~ (icext(all_468_0, v0) = 0) | ~ % 185.51/25.96 | $i(v0) | ? [v1: int] : ( ~ (v1 = 0) & icext(uri_ex_c, v0) = v1)) % 185.51/25.96 | % 185.51/25.96 | ALPHA: (24) implies: % 185.51/25.96 | (25) ! [v0: $i] : ( ~ (icext(all_468_0, v0) = 0) | ~ $i(v0) | ? [v1: % 185.51/25.96 | int] : ( ~ (v1 = 0) & icext(uri_ex_c, v0) = v1)) % 185.51/25.96 | % 185.51/25.96 | GROUND_INST: instantiating (3) with uri_ex_w, uri_ex_u, all_346_0, simplifying % 185.51/25.96 | with (6), (7), (12) gives: % 185.51/25.96 | (26) all_346_0 = 0 | uri_ex_u = uri_ex_w % 185.51/25.96 | % 185.51/25.96 | BETA: splitting (26) gives: % 185.51/25.96 | % 185.51/25.97 | Case 1: % 185.51/25.97 | | % 185.51/25.97 | | (27) all_346_0 = 0 % 185.51/25.97 | | % 185.51/25.97 | | REDUCE: (11), (27) imply: % 185.51/25.97 | | (28) $false % 185.51/25.97 | | % 185.51/25.97 | | CLOSE: (28) is inconsistent. % 185.51/25.97 | | % 185.51/25.97 | Case 2: % 185.51/25.97 | | % 185.51/25.97 | | (29) uri_ex_u = uri_ex_w % 185.51/25.97 | | % 185.51/25.97 | | REDUCE: (23), (29) imply: % 185.51/25.97 | | (30) icext(all_468_0, uri_ex_w) = 0 % 185.51/25.97 | | % 185.51/25.97 | | GROUND_INST: instantiating (25) with uri_ex_w, simplifying with (6), (30) % 185.51/25.97 | | gives: % 185.51/25.97 | | (31) ? [v0: int] : ( ~ (v0 = 0) & icext(uri_ex_c, uri_ex_w) = v0) % 185.51/25.97 | | % 185.51/25.97 | | DELTA: instantiating (31) with fresh symbol all_750_0 gives: % 185.51/25.97 | | (32) ~ (all_750_0 = 0) & icext(uri_ex_c, uri_ex_w) = all_750_0 % 185.51/25.97 | | % 185.51/25.97 | | ALPHA: (32) implies: % 185.51/25.97 | | (33) ~ (all_750_0 = 0) % 185.51/25.97 | | (34) icext(uri_ex_c, uri_ex_w) = all_750_0 % 185.51/25.97 | | % 185.51/25.97 | | GROUND_INST: instantiating (9) with 0, all_750_0, uri_ex_w, uri_ex_c, % 185.51/25.97 | | simplifying with (22), (34) gives: % 185.51/25.97 | | (35) all_750_0 = 0 % 185.51/25.97 | | % 185.51/25.97 | | REDUCE: (33), (35) imply: % 185.51/25.97 | | (36) $false % 185.51/25.97 | | % 185.51/25.97 | | CLOSE: (36) is inconsistent. % 185.51/25.97 | | % 185.51/25.97 | End of split % 185.51/25.97 | % 185.51/25.97 End of proof % 185.51/25.97 % SZS output end Proof for theBenchmark % 185.51/25.97 % 185.51/25.97 25324ms %------------------------------------------------------------------------------