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Twee---2.7.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : Twee---2.7
% Problem  : SWB018+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 12:59:46 PM UTC 2026

% Result   : Theorem 0.12s 0.43s
% Output   : Proof 0.12s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB018+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04  % Command  : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35  % Computer : n009.cluster.edu
% 0.08/0.35  % Model    : x86_64 x86_64
% 0.08/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35  % Memory   : 8046.5625MB
% 0.08/0.35  % OS       : Linux 6.8.0-71-generic
% 0.08/0.35  % CPULimit : 300
% 0.08/0.35  % WCLimit  : 300
% 0.08/0.35  % DateTime : Mon Sep 28 07:03:51 UTC 2026
% 0.12/0.35  % CPUTime  : 
% 0.12/0.35  Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.43  Command-line arguments: --flatten --complete-subsets
% 0.12/0.43  
% 0.12/0.43  % SZS status Theorem
% 0.12/0.43  
% 0.12/0.44  % SZS output start Proof
% 0.12/0.44  Axiom 1 (testcase_premise_fullish_018_Modified_Logical_Vocabulary_Semantics): iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person) = true.
% 0.12/0.44  Axiom 2 (owl_eqdis_sameas): iext(uri_owl_sameAs, X, X) = true.
% 0.12/0.44  Axiom 3 (testcase_premise_fullish_018_Modified_Logical_Vocabulary_Semantics_1): iext(uri_owl_sameAs, uri_ex_w, uri_ex_u) = true.
% 0.12/0.44  Axiom 4 (ifeq_axiom): ifeq2(X, X, Y, Z) = Y.
% 0.12/0.44  Axiom 5 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.12/0.44  Axiom 6 (owl_eqdis_sameas_1): ifeq2(iext(uri_owl_sameAs, X, Y), true, X, Y) = Y.
% 0.12/0.44  Axiom 7 (rdfs_cext_def_1): ifeq(icext(X, Y), true, iext(uri_rdf_type, Y, X), true) = true.
% 0.12/0.44  Axiom 8 (rdfs_domain_main): ifeq(iext(uri_rdfs_domain, X, Y), true, ifeq(iext(X, Z, W), true, icext(Y, Z), true), true) = true.
% 0.12/0.44  
% 0.12/0.44  Goal 1 (testcase_conclusion_fullish_018_Modified_Logical_Vocabulary_Semantics): iext(uri_rdf_type, uri_ex_u, uri_ex_Person) = true.
% 0.12/0.44  Proof:
% 0.12/0.44    iext(uri_rdf_type, uri_ex_u, uri_ex_Person)
% 0.12/0.44  = { by axiom 5 (ifeq_axiom) R->L }
% 0.12/0.44    ifeq(iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person), iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person), iext(uri_rdf_type, uri_ex_u, uri_ex_Person), iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person))
% 0.12/0.44  = { by axiom 1 (testcase_premise_fullish_018_Modified_Logical_Vocabulary_Semantics) }
% 0.12/0.44    ifeq(true, iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person), iext(uri_rdf_type, uri_ex_u, uri_ex_Person), iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person))
% 0.12/0.44  = { by axiom 8 (rdfs_domain_main) R->L }
% 0.12/0.44    ifeq(ifeq(iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person), true, ifeq(iext(uri_owl_sameAs, uri_ex_w, uri_ex_w), true, icext(uri_ex_Person, uri_ex_w), true), true), iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person), iext(uri_rdf_type, uri_ex_u, uri_ex_Person), iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person))
% 0.12/0.44  = { by axiom 1 (testcase_premise_fullish_018_Modified_Logical_Vocabulary_Semantics) R->L }
% 0.12/0.44    ifeq(ifeq(iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person), true, ifeq(iext(uri_owl_sameAs, uri_ex_w, uri_ex_w), true, icext(uri_ex_Person, uri_ex_w), true), iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person)), iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person), iext(uri_rdf_type, uri_ex_u, uri_ex_Person), iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person))
% 0.12/0.44  = { by axiom 1 (testcase_premise_fullish_018_Modified_Logical_Vocabulary_Semantics) R->L }
% 0.12/0.44    ifeq(ifeq(iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person), true, ifeq(iext(uri_owl_sameAs, uri_ex_w, uri_ex_w), true, icext(uri_ex_Person, uri_ex_w), iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person)), iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person)), iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person), iext(uri_rdf_type, uri_ex_u, uri_ex_Person), iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person))
% 0.12/0.44  = { by axiom 1 (testcase_premise_fullish_018_Modified_Logical_Vocabulary_Semantics) R->L }
% 0.12/0.44    ifeq(ifeq(iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person), true, ifeq(iext(uri_owl_sameAs, uri_ex_w, uri_ex_w), iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person), icext(uri_ex_Person, uri_ex_w), iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person)), iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person)), iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person), iext(uri_rdf_type, uri_ex_u, uri_ex_Person), iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person))
% 0.12/0.44  = { by axiom 1 (testcase_premise_fullish_018_Modified_Logical_Vocabulary_Semantics) R->L }
% 0.12/0.44    ifeq(ifeq(iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person), iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person), ifeq(iext(uri_owl_sameAs, uri_ex_w, uri_ex_w), iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person), icext(uri_ex_Person, uri_ex_w), iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person)), iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person)), iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person), iext(uri_rdf_type, uri_ex_u, uri_ex_Person), iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person))
% 0.12/0.44  = { by axiom 5 (ifeq_axiom) }
% 0.12/0.44    ifeq(ifeq(iext(uri_owl_sameAs, uri_ex_w, uri_ex_w), iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person), icext(uri_ex_Person, uri_ex_w), iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person)), iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person), iext(uri_rdf_type, uri_ex_u, uri_ex_Person), iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person))
% 0.12/0.44  = { by axiom 2 (owl_eqdis_sameas) }
% 0.12/0.44    ifeq(ifeq(true, iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person), icext(uri_ex_Person, uri_ex_w), iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person)), iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person), iext(uri_rdf_type, uri_ex_u, uri_ex_Person), iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person))
% 0.12/0.44  = { by axiom 1 (testcase_premise_fullish_018_Modified_Logical_Vocabulary_Semantics) R->L }
% 0.12/0.44    ifeq(ifeq(iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person), iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person), icext(uri_ex_Person, uri_ex_w), iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person)), iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person), iext(uri_rdf_type, uri_ex_u, uri_ex_Person), iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person))
% 0.12/0.44  = { by axiom 5 (ifeq_axiom) }
% 0.12/0.44    ifeq(icext(uri_ex_Person, uri_ex_w), iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person), iext(uri_rdf_type, uri_ex_u, uri_ex_Person), iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person))
% 0.12/0.44  = { by axiom 4 (ifeq_axiom) R->L }
% 0.12/0.44    ifeq(icext(uri_ex_Person, ifeq2(iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person), iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person), uri_ex_w, uri_ex_u)), iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person), iext(uri_rdf_type, uri_ex_u, uri_ex_Person), iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person))
% 0.12/0.44  = { by axiom 1 (testcase_premise_fullish_018_Modified_Logical_Vocabulary_Semantics) }
% 0.12/0.44    ifeq(icext(uri_ex_Person, ifeq2(true, iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person), uri_ex_w, uri_ex_u)), iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person), iext(uri_rdf_type, uri_ex_u, uri_ex_Person), iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person))
% 0.12/0.44  = { by axiom 3 (testcase_premise_fullish_018_Modified_Logical_Vocabulary_Semantics_1) R->L }
% 0.12/0.44    ifeq(icext(uri_ex_Person, ifeq2(iext(uri_owl_sameAs, uri_ex_w, uri_ex_u), iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person), uri_ex_w, uri_ex_u)), iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person), iext(uri_rdf_type, uri_ex_u, uri_ex_Person), iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person))
% 0.12/0.44  = { by axiom 1 (testcase_premise_fullish_018_Modified_Logical_Vocabulary_Semantics) }
% 0.12/0.44    ifeq(icext(uri_ex_Person, ifeq2(iext(uri_owl_sameAs, uri_ex_w, uri_ex_u), true, uri_ex_w, uri_ex_u)), iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person), iext(uri_rdf_type, uri_ex_u, uri_ex_Person), iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person))
% 0.12/0.44  = { by axiom 6 (owl_eqdis_sameas_1) }
% 0.12/0.44    ifeq(icext(uri_ex_Person, uri_ex_u), iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person), iext(uri_rdf_type, uri_ex_u, uri_ex_Person), iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person))
% 0.12/0.44  = { by axiom 1 (testcase_premise_fullish_018_Modified_Logical_Vocabulary_Semantics) }
% 0.12/0.44    ifeq(icext(uri_ex_Person, uri_ex_u), true, iext(uri_rdf_type, uri_ex_u, uri_ex_Person), iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person))
% 0.12/0.44  = { by axiom 1 (testcase_premise_fullish_018_Modified_Logical_Vocabulary_Semantics) }
% 0.12/0.44    ifeq(icext(uri_ex_Person, uri_ex_u), true, iext(uri_rdf_type, uri_ex_u, uri_ex_Person), true)
% 0.12/0.44  = { by axiom 7 (rdfs_cext_def_1) }
% 0.12/0.44    true
% 0.12/0.44  % SZS output end Proof
% 0.12/0.44  
% 0.12/0.44  RESULT: Theorem (the conjecture is true).
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