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Twee---2.7.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : Twee---2.7
% Problem  : SWB006+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n014.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 12:59:41 PM UTC 2026

% Result   : Theorem 0.09s 0.44s
% Output   : Proof 0.09s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWB006+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04  % Command  : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36  % Computer : n014.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Mon Sep 28 06:55:15 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.36  Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.44  Command-line arguments: --no-flatten-goal
% 0.09/0.44  
% 0.09/0.44  % SZS status Theorem
% 0.09/0.44  
% 0.09/0.44  % SZS output start Proof
% 0.09/0.44  Axiom 1 (owl_eqdis_sameas): iext(uri_owl_sameAs, X, X) = true.
% 0.09/0.44  Axiom 2 (testcase_premise_fullish_006_Literal_Values_represented_by_URIs_and_Blank_Nodes): iext(uri_owl_sameAs, uri_ex_u, literal_plain(dat_str_abc)) = true.
% 0.09/0.44  Axiom 3 (testcase_premise_fullish_006_Literal_Values_represented_by_URIs_and_Blank_Nodes_1): iext(uri_owl_sameAs, bnode_x, uri_ex_w) = true.
% 0.09/0.44  Axiom 4 (testcase_premise_fullish_006_Literal_Values_represented_by_URIs_and_Blank_Nodes_2): iext(uri_owl_sameAs, bnode_x, literal_plain(dat_str_abc)) = true.
% 0.09/0.44  Axiom 5 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.09/0.44  Axiom 6 (owl_eqdis_sameas_1): ifeq(iext(uri_owl_sameAs, X, Y), true, X, Y) = Y.
% 0.09/0.44  
% 0.09/0.44  Goal 1 (testcase_conclusion_fullish_006_Literal_Values_represented_by_URIs_and_Blank_Nodes): iext(uri_owl_sameAs, uri_ex_u, uri_ex_w) = true.
% 0.09/0.44  Proof:
% 0.09/0.44    iext(uri_owl_sameAs, uri_ex_u, uri_ex_w)
% 0.09/0.44  = { by axiom 6 (owl_eqdis_sameas_1) R->L }
% 0.09/0.44    iext(uri_owl_sameAs, uri_ex_u, ifeq(iext(uri_owl_sameAs, bnode_x, uri_ex_w), true, bnode_x, uri_ex_w))
% 0.09/0.44  = { by axiom 3 (testcase_premise_fullish_006_Literal_Values_represented_by_URIs_and_Blank_Nodes_1) }
% 0.09/0.44    iext(uri_owl_sameAs, uri_ex_u, ifeq(true, true, bnode_x, uri_ex_w))
% 0.09/0.44  = { by axiom 5 (ifeq_axiom) }
% 0.09/0.44    iext(uri_owl_sameAs, uri_ex_u, bnode_x)
% 0.09/0.44  = { by axiom 5 (ifeq_axiom) R->L }
% 0.09/0.44    iext(uri_owl_sameAs, uri_ex_u, ifeq(true, true, bnode_x, literal_plain(dat_str_abc)))
% 0.09/0.44  = { by axiom 4 (testcase_premise_fullish_006_Literal_Values_represented_by_URIs_and_Blank_Nodes_2) R->L }
% 0.09/0.44    iext(uri_owl_sameAs, uri_ex_u, ifeq(iext(uri_owl_sameAs, bnode_x, literal_plain(dat_str_abc)), true, bnode_x, literal_plain(dat_str_abc)))
% 0.09/0.44  = { by axiom 6 (owl_eqdis_sameas_1) }
% 0.09/0.44    iext(uri_owl_sameAs, uri_ex_u, literal_plain(dat_str_abc))
% 0.09/0.44  = { by axiom 6 (owl_eqdis_sameas_1) R->L }
% 0.09/0.44    iext(uri_owl_sameAs, uri_ex_u, ifeq(iext(uri_owl_sameAs, uri_ex_u, literal_plain(dat_str_abc)), true, uri_ex_u, literal_plain(dat_str_abc)))
% 0.09/0.44  = { by axiom 2 (testcase_premise_fullish_006_Literal_Values_represented_by_URIs_and_Blank_Nodes) }
% 0.09/0.44    iext(uri_owl_sameAs, uri_ex_u, ifeq(true, true, uri_ex_u, literal_plain(dat_str_abc)))
% 0.09/0.44  = { by axiom 5 (ifeq_axiom) }
% 0.09/0.44    iext(uri_owl_sameAs, uri_ex_u, uri_ex_u)
% 0.09/0.44  = { by axiom 1 (owl_eqdis_sameas) }
% 0.09/0.44    true
% 0.09/0.44  % SZS output end Proof
% 0.09/0.44  
% 0.09/0.44  RESULT: Theorem (the conjecture is true).
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