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Twee---2.7.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : Twee---2.7
% Problem  : SWB007+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n018.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 12:59:42 PM UTC 2026

% Result   : Theorem 0.12s 0.42s
% Output   : Proof 0.12s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWB007+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04  % Command  : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34  % Computer : n018.cluster.edu
% 0.08/0.34  % Model    : x86_64 x86_64
% 0.08/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34  % Memory   : 8046.5625MB
% 0.08/0.34  % OS       : Linux 6.8.0-71-generic
% 0.08/0.34  % CPULimit : 300
% 0.08/0.34  % WCLimit  : 300
% 0.08/0.34  % DateTime : Mon Sep 28 06:57:39 UTC 2026
% 0.08/0.35  % CPUTime  : 
% 0.08/0.35  Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.42  Command-line arguments: --no-flatten-goal
% 0.12/0.42  
% 0.12/0.42  % SZS status Theorem
% 0.12/0.42  
% 0.12/0.42  % SZS output start Proof
% 0.12/0.42  Axiom 1 (testcase_premise_fullish_007_Equal_Classes_1): iext(uri_rdf_type, uri_ex_w, uri_ex_c1) = true.
% 0.12/0.42  Axiom 2 (testcase_premise_fullish_007_Equal_Classes_2): iext(uri_rdfs_subClassOf, uri_ex_c, uri_ex_c1) = true.
% 0.12/0.42  Axiom 3 (testcase_premise_fullish_007_Equal_Classes_3): iext(uri_rdfs_range, uri_ex_p, uri_ex_c1) = true.
% 0.12/0.42  Axiom 4 (testcase_premise_fullish_007_Equal_Classes): iext(uri_owl_sameAs, uri_ex_c1, uri_ex_c2) = true.
% 0.12/0.42  Axiom 5 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.12/0.42  Axiom 6 (owl_eqdis_sameas_1): ifeq(iext(uri_owl_sameAs, X, Y), true, X, Y) = Y.
% 0.12/0.42  
% 0.12/0.42  Lemma 7: uri_ex_c1 = uri_ex_c2.
% 0.12/0.42  Proof:
% 0.12/0.42    uri_ex_c1
% 0.12/0.42  = { by axiom 5 (ifeq_axiom) R->L }
% 0.12/0.42    ifeq(true, true, uri_ex_c1, uri_ex_c2)
% 0.12/0.42  = { by axiom 4 (testcase_premise_fullish_007_Equal_Classes) R->L }
% 0.12/0.42    ifeq(iext(uri_owl_sameAs, uri_ex_c1, uri_ex_c2), true, uri_ex_c1, uri_ex_c2)
% 0.12/0.43  = { by axiom 6 (owl_eqdis_sameas_1) }
% 0.12/0.43    uri_ex_c2
% 0.12/0.43  
% 0.12/0.43  Goal 1 (testcase_conclusion_fullish_007_Equal_Classes): tuple(iext(uri_rdf_type, uri_ex_w, uri_ex_c2), iext(uri_rdfs_subClassOf, uri_ex_c, uri_ex_c2), iext(uri_rdfs_range, uri_ex_p, uri_ex_c2)) = tuple(true, true, true).
% 0.12/0.43  Proof:
% 0.12/0.43    tuple(iext(uri_rdf_type, uri_ex_w, uri_ex_c2), iext(uri_rdfs_subClassOf, uri_ex_c, uri_ex_c2), iext(uri_rdfs_range, uri_ex_p, uri_ex_c2))
% 0.12/0.43  = { by lemma 7 R->L }
% 0.12/0.43    tuple(iext(uri_rdf_type, uri_ex_w, uri_ex_c1), iext(uri_rdfs_subClassOf, uri_ex_c, uri_ex_c2), iext(uri_rdfs_range, uri_ex_p, uri_ex_c2))
% 0.12/0.43  = { by axiom 1 (testcase_premise_fullish_007_Equal_Classes_1) }
% 0.12/0.43    tuple(true, iext(uri_rdfs_subClassOf, uri_ex_c, uri_ex_c2), iext(uri_rdfs_range, uri_ex_p, uri_ex_c2))
% 0.12/0.43  = { by lemma 7 R->L }
% 0.12/0.43    tuple(true, iext(uri_rdfs_subClassOf, uri_ex_c, uri_ex_c1), iext(uri_rdfs_range, uri_ex_p, uri_ex_c2))
% 0.12/0.43  = { by axiom 2 (testcase_premise_fullish_007_Equal_Classes_2) }
% 0.12/0.43    tuple(true, true, iext(uri_rdfs_range, uri_ex_p, uri_ex_c2))
% 0.12/0.43  = { by lemma 7 R->L }
% 0.12/0.43    tuple(true, true, iext(uri_rdfs_range, uri_ex_p, uri_ex_c1))
% 0.12/0.43  = { by axiom 3 (testcase_premise_fullish_007_Equal_Classes_3) }
% 0.12/0.43    tuple(true, true, true)
% 0.12/0.43  % SZS output end Proof
% 0.12/0.43  
% 0.12/0.43  RESULT: Theorem (the conjecture is true).
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