TSTP Solution File: SWB001+4 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SWB001+4 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n010.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 20:11:31 EDT 2023
% Result : Theorem 5.36s 1.40s
% Output : Proof 8.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWB001+4 : 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 : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Aug 27 06:11:19 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.60 ________ _____
% 0.19/0.60 ___ __ \_________(_)________________________________
% 0.19/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.19/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.19/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.19/0.60
% 0.19/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.19/0.60 (2023-06-19)
% 0.19/0.60
% 0.19/0.60 (c) Philipp Rümmer, 2009-2023
% 0.19/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.19/0.60 Amanda Stjerna.
% 0.19/0.60 Free software under BSD-3-Clause.
% 0.19/0.60
% 0.19/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.19/0.60
% 0.19/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.19/0.61 Running up to 7 provers in parallel.
% 0.19/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.19/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.19/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.19/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.19/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.19/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 0.19/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 3.10/1.12 Prover 4: Preprocessing ...
% 3.10/1.12 Prover 1: Preprocessing ...
% 3.10/1.16 Prover 6: Preprocessing ...
% 3.10/1.16 Prover 0: Preprocessing ...
% 3.10/1.16 Prover 3: Preprocessing ...
% 3.10/1.16 Prover 2: Preprocessing ...
% 3.10/1.16 Prover 5: Preprocessing ...
% 4.29/1.36 Prover 2: Constructing countermodel ...
% 4.29/1.36 Prover 5: Constructing countermodel ...
% 4.29/1.39 Prover 2: proved (768ms)
% 5.36/1.40
% 5.36/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.36/1.40
% 5.36/1.40 Prover 5: proved (764ms)
% 5.36/1.40
% 5.36/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.36/1.40
% 5.36/1.41 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 5.36/1.41 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 5.92/1.50 Prover 3: Constructing countermodel ...
% 6.09/1.50 Prover 3: stopped
% 6.09/1.51 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 6.09/1.51 Prover 6: Constructing countermodel ...
% 6.09/1.51 Prover 6: stopped
% 6.09/1.51 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 6.09/1.52 Prover 8: Preprocessing ...
% 6.25/1.53 Prover 7: Preprocessing ...
% 6.25/1.60 Prover 11: Preprocessing ...
% 6.94/1.62 Prover 10: Preprocessing ...
% 6.94/1.63 Prover 0: Constructing countermodel ...
% 6.94/1.63 Prover 0: stopped
% 6.94/1.64 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 6.94/1.65 Prover 1: Constructing countermodel ...
% 6.94/1.68 Prover 7: Warning: ignoring some quantifiers
% 6.94/1.68 Prover 13: Preprocessing ...
% 6.94/1.69 Prover 10: Warning: ignoring some quantifiers
% 7.51/1.70 Prover 7: Constructing countermodel ...
% 7.51/1.70 Prover 10: Constructing countermodel ...
% 7.51/1.75 Prover 4: Constructing countermodel ...
% 8.05/1.81 Prover 7: Found proof (size 7)
% 8.05/1.81 Prover 10: Found proof (size 7)
% 8.05/1.81 Prover 7: proved (410ms)
% 8.05/1.81 Prover 10: proved (303ms)
% 8.05/1.81 Prover 1: stopped
% 8.05/1.82 Prover 4: stopped
% 8.05/1.82 Prover 8: Warning: ignoring some quantifiers
% 8.05/1.82 Prover 13: Warning: ignoring some quantifiers
% 8.05/1.83 Prover 13: Constructing countermodel ...
% 8.05/1.83 Prover 8: Constructing countermodel ...
% 8.05/1.85 Prover 13: stopped
% 8.05/1.85 Prover 8: stopped
% 8.65/1.88 Prover 11: Constructing countermodel ...
% 8.72/1.91 Prover 11: stopped
% 8.72/1.91
% 8.72/1.91 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.72/1.91
% 8.72/1.91 % SZS output start Proof for theBenchmark
% 8.72/1.92 Assumptions after simplification:
% 8.72/1.92 ---------------------------------
% 8.72/1.92
% 8.72/1.92 (testcase_conclusion_fullish_001_Subgraph_Entailment)
% 8.72/1.93 $i(uri_ex_p) & $i(uri_owl_onProperty) & $i(uri_owl_Restriction) & $i(uri_ex_r)
% 8.72/1.93 & $i(uri_rdf_type) & ( ~ iext(uri_owl_onProperty, uri_ex_r, uri_ex_p) | ~
% 8.72/1.93 iext(uri_rdf_type, uri_ex_r, uri_owl_Restriction))
% 8.72/1.93
% 8.72/1.93 (testcase_premise_fullish_001_Subgraph_Entailment)
% 8.72/1.93 $i(uri_ex_d) & $i(uri_owl_someValuesFrom) & $i(uri_ex_c) & $i(uri_ex_p) &
% 8.72/1.93 $i(uri_owl_onProperty) & $i(uri_owl_Restriction) & $i(uri_ex_r) &
% 8.72/1.93 $i(uri_rdfs_subClassOf) & $i(uri_rdf_type) & iext(uri_owl_someValuesFrom,
% 8.72/1.93 uri_ex_r, uri_ex_d) & iext(uri_owl_onProperty, uri_ex_r, uri_ex_p) &
% 8.72/1.93 iext(uri_rdfs_subClassOf, uri_ex_c, uri_ex_r) & iext(uri_rdf_type, uri_ex_r,
% 8.72/1.93 uri_owl_Restriction)
% 8.72/1.93
% 8.72/1.93 Further assumptions not needed in the proof:
% 8.72/1.93 --------------------------------------------
% 8.72/1.93 rdf_collection_first_type, rdf_collection_nil_type, rdf_collection_rest_type,
% 8.72/1.93 rdf_container_n_type_001, rdf_container_n_type_002, rdf_container_n_type_003,
% 8.72/1.93 rdf_reification_object_type, rdf_reification_predicate_type,
% 8.72/1.93 rdf_reification_subject_type, rdf_type_ip, rdf_type_type, rdf_value_type,
% 8.72/1.93 rdfs_annotation_comment_domain, rdfs_annotation_comment_range,
% 8.72/1.93 rdfs_annotation_isdefinedby_domain, rdfs_annotation_isdefinedby_range,
% 8.72/1.93 rdfs_annotation_isdefinedby_sub, rdfs_annotation_label_domain,
% 8.72/1.93 rdfs_annotation_label_range, rdfs_annotation_seealso_domain,
% 8.72/1.93 rdfs_annotation_seealso_range, rdfs_cext_def, rdfs_class_instsub_resource,
% 8.72/1.93 rdfs_collection_first_domain, rdfs_collection_first_range,
% 8.72/1.93 rdfs_collection_rest_domain, rdfs_collection_rest_range, rdfs_container_alt_sub,
% 8.72/1.93 rdfs_container_bag_sub,
% 8.72/1.93 rdfs_container_containermembershipproperty_instsub_member,
% 8.72/1.93 rdfs_container_containermembershipproperty_sub, rdfs_container_member_domain,
% 8.72/1.93 rdfs_container_member_range, rdfs_container_n_domain_001,
% 8.72/1.93 rdfs_container_n_domain_002, rdfs_container_n_domain_003,
% 8.72/1.93 rdfs_container_n_range_001, rdfs_container_n_range_002,
% 8.72/1.93 rdfs_container_n_range_003, rdfs_container_n_type_001,
% 8.72/1.93 rdfs_container_n_type_002, rdfs_container_n_type_003, rdfs_container_seq_sub,
% 8.72/1.93 rdfs_dat_xmlliteral_sub, rdfs_dat_xmlliteral_type,
% 8.72/1.93 rdfs_datatype_instsub_literal, rdfs_datatype_sub, rdfs_domain_domain,
% 8.72/1.93 rdfs_domain_main, rdfs_domain_range, rdfs_ic_def, rdfs_ir_def, rdfs_lv_def,
% 8.72/1.93 rdfs_property_type, rdfs_range_domain, rdfs_range_main, rdfs_range_range,
% 8.72/1.93 rdfs_reification_object_domain, rdfs_reification_object_range,
% 8.72/1.93 rdfs_reification_predicate_domain, rdfs_reification_predicate_range,
% 8.72/1.93 rdfs_reification_subject_domain, rdfs_reification_subject_range,
% 8.72/1.93 rdfs_subclassof_domain, rdfs_subclassof_main, rdfs_subclassof_range,
% 8.72/1.93 rdfs_subclassof_reflex, rdfs_subclassof_trans, rdfs_subpropertyof_domain,
% 8.72/1.93 rdfs_subpropertyof_main, rdfs_subpropertyof_range, rdfs_subpropertyof_reflex,
% 8.72/1.93 rdfs_subpropertyof_trans, rdfs_type_domain, rdfs_type_range, rdfs_value_domain,
% 8.72/1.93 rdfs_value_range, simple_iext_property, simple_ir, simple_lv
% 8.72/1.93
% 8.72/1.93 Those formulas are unsatisfiable:
% 8.72/1.93 ---------------------------------
% 8.72/1.93
% 8.72/1.93 Begin of proof
% 8.72/1.93 |
% 8.72/1.94 | ALPHA: (testcase_conclusion_fullish_001_Subgraph_Entailment) implies:
% 8.72/1.94 | (1) ~ iext(uri_owl_onProperty, uri_ex_r, uri_ex_p) | ~ iext(uri_rdf_type,
% 8.72/1.94 | uri_ex_r, uri_owl_Restriction)
% 8.72/1.94 |
% 8.72/1.94 | ALPHA: (testcase_premise_fullish_001_Subgraph_Entailment) implies:
% 8.72/1.94 | (2) iext(uri_rdf_type, uri_ex_r, uri_owl_Restriction)
% 8.72/1.94 | (3) iext(uri_owl_onProperty, uri_ex_r, uri_ex_p)
% 8.72/1.94 |
% 8.72/1.94 | BETA: splitting (1) gives:
% 8.72/1.94 |
% 8.72/1.94 | Case 1:
% 8.72/1.94 | |
% 8.72/1.94 | | (4) ~ iext(uri_rdf_type, uri_ex_r, uri_owl_Restriction)
% 8.72/1.94 | |
% 8.72/1.94 | | PRED_UNIFY: (2), (4) imply:
% 8.72/1.94 | | (5) $false
% 8.72/1.94 | |
% 8.72/1.94 | | CLOSE: (5) is inconsistent.
% 8.72/1.94 | |
% 8.72/1.94 | Case 2:
% 8.72/1.94 | |
% 8.72/1.94 | | (6) ~ iext(uri_owl_onProperty, uri_ex_r, uri_ex_p)
% 8.72/1.94 | |
% 8.72/1.94 | | PRED_UNIFY: (3), (6) imply:
% 8.72/1.94 | | (7) $false
% 8.72/1.94 | |
% 8.72/1.94 | | CLOSE: (7) is inconsistent.
% 8.72/1.94 | |
% 8.72/1.94 | End of split
% 8.72/1.94 |
% 8.72/1.94 End of proof
% 8.72/1.94 % SZS output end Proof for theBenchmark
% 8.72/1.94
% 8.72/1.94 1339ms
%------------------------------------------------------------------------------