%------------------------------------------------------------------------------
% File     : Twee---2.4.2
% Problem  : SWB003+4 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof

% Computer : n027.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 20:12:41 EDT 2023

% Result   : Theorem 0.21s 0.47s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SWB003+4 : TPTP v8.1.2. Released v5.2.0.
% 0.12/0.14  % Command  : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.14/0.35  % Computer : n027.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Sun Aug 27 07:27:50 EDT 2023
% 0.20/0.35  % CPUTime  : 
% 0.21/0.47  Command-line arguments: --no-flatten-goal
% 0.21/0.47  
% 0.21/0.47  % SZS status Theorem
% 0.21/0.47  
% 0.21/0.47  % SZS output start Proof
% 0.21/0.47  Take the following subset of the input axioms:
% 0.21/0.47    fof(testcase_conclusion_fullish_003_Blank_Nodes_for_Literals, conjecture, ?[BNODE_x]: iext(uri_ex_p, uri_ex_s, BNODE_x)).
% 0.21/0.47    fof(testcase_premise_fullish_003_Blank_Nodes_for_Literals, axiom, iext(uri_ex_p, uri_ex_s, literal_plain(dat_str_foo))).
% 0.21/0.47  
% 0.21/0.47  Now clausify the problem and encode Horn clauses using encoding 3 of
% 0.21/0.47  http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 0.21/0.47  We repeatedly replace C & s=t => u=v by the two clauses:
% 0.21/0.47    fresh(y, y, x1...xn) = u
% 0.21/0.47    C => fresh(s, t, x1...xn) = v
% 0.21/0.47  where fresh is a fresh function symbol and x1..xn are the free
% 0.21/0.47  variables of u and v.
% 0.21/0.47  A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 0.21/0.47  input problem has no model of domain size 1).
% 0.21/0.47  
% 0.21/0.47  The encoding turns the above axioms into the following unit equations and goals:
% 0.21/0.47  
% 0.21/0.47  Axiom 1 (testcase_premise_fullish_003_Blank_Nodes_for_Literals): iext(uri_ex_p, uri_ex_s, literal_plain(dat_str_foo)) = true2.
% 0.21/0.47  
% 0.21/0.47  Goal 1 (testcase_conclusion_fullish_003_Blank_Nodes_for_Literals): iext(uri_ex_p, uri_ex_s, X) = true2.
% 0.21/0.47  The goal is true when:
% 0.21/0.47    X = literal_plain(dat_str_foo)
% 0.21/0.47  
% 0.21/0.47  Proof:
% 0.21/0.47    iext(uri_ex_p, uri_ex_s, literal_plain(dat_str_foo))
% 0.21/0.47  = { by axiom 1 (testcase_premise_fullish_003_Blank_Nodes_for_Literals) }
% 0.21/0.47    true2
% 0.21/0.47  % SZS output end Proof
% 0.21/0.47  
% 0.21/0.47  RESULT: Theorem (the conjecture is true).
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