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lazyCoP---0.1.THM-Ass.s

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%------------------------------------------------------------------------------
% File     : lazyCoP---0.1
% Problem  : LCL684+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop

% Computer : n012.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 : Mon Sep  7 12:29:11 PM UTC 2026

% Result   : Theorem 0.07s 0.32s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : LCL684+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03  % Command  : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.07/0.31  % Computer : n012.cluster.edu
% 0.07/0.31  % Model    : x86_64 x86_64
% 0.07/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.31  % Memory   : 8046.5625MB
% 0.07/0.31  % OS       : Linux 6.8.0-71-generic
% 0.07/0.32  % CPULimit : 300
% 0.07/0.32  % WCLimit  : 300
% 0.07/0.32  % DateTime : Sat Sep  5 16:33:12 UTC 2026
% 0.07/0.32  % CPUTime  : 
% 0.07/0.32  % SZS status Theorem
% 0.07/0.32  % SZS output begin IncompleteProof
% 0.07/0.32  cnf(c0, axiom,
% 0.07/0.32  	p101(sK0)).
% 0.07/0.32  cnf(c1, plain,
% 0.07/0.32  	p101(sK0),
% 0.07/0.32  	inference(start, [], [c0])).
% 0.07/0.32  
% 0.07/0.32  cnf(c2, axiom,
% 0.07/0.32  	~p101(X0) | ~p201(X0) | ~r1(X1,X0) | ~r1(sK0,X1)).
% 0.07/0.32  cnf(a0, assumption,
% 0.07/0.32  	sK0 = X0).
% 0.07/0.32  cnf(c3, plain,
% 0.07/0.32  	$false,
% 0.07/0.32  	inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])).
% 0.07/0.32  cnf(c4, plain,
% 0.07/0.32  	~p201(X0) | ~r1(X1,X0) | ~r1(sK0,X1),
% 0.07/0.32  	inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])).
% 0.07/0.32  
% 0.07/0.32  cnf(c5, axiom,
% 0.07/0.32  	p201(sK0)).
% 0.07/0.32  cnf(a1, assumption,
% 0.07/0.32  	X0 = sK0).
% 0.07/0.32  cnf(c6, plain,
% 0.07/0.32  	~r1(X1,X0) | ~r1(sK0,X1),
% 0.07/0.32  	inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])).
% 0.07/0.32  cnf(c7, plain,
% 0.07/0.32  	$false,
% 0.07/0.32  	inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])).
% 0.07/0.32  
% 0.07/0.32  cnf(c8, axiom,
% 0.07/0.32  	r1(X2,X2)).
% 0.07/0.32  cnf(a2, assumption,
% 0.07/0.32  	X1 = X2).
% 0.07/0.32  cnf(a3, assumption,
% 0.07/0.32  	X0 = X2).
% 0.07/0.32  cnf(c9, plain,
% 0.07/0.32  	~r1(sK0,X1),
% 0.07/0.32  	inference(strict_predicate_extension, [assumptions([a2, a3])], [c6, c8])).
% 0.07/0.32  cnf(c10, plain,
% 0.07/0.32  	$false,
% 0.07/0.32  	inference(strict_predicate_extension, [assumptions([a2, a3])], [c6, c8])).
% 0.07/0.32  
% 0.07/0.32  cnf(c11, plain,
% 0.07/0.32  	r1(X1,X0)).
% 0.07/0.32  cnf(a4, assumption,
% 0.07/0.32  	sK0 = X1).
% 0.07/0.32  cnf(a5, assumption,
% 0.07/0.32  	X1 = X0).
% 0.07/0.32  cnf(c12, plain,
% 0.07/0.32  	$false,
% 0.07/0.32  	inference(predicate_reduction, [assumptions([a4, a5])], [c9, c11])).
% 0.07/0.32  
% 0.07/0.32  cnf(c13, plain,
% 0.07/0.32  	$false,
% 0.07/0.32  	inference(constraint_solving, [
% 0.07/0.32  		bind(X0, sK0),
% 0.07/0.32  		bind(X1, sK0),
% 0.07/0.32  		bind(X2, sK0)
% 0.07/0.32  	],
% 0.07/0.32  	[a0, a1, a2, a3, a4, a5])).
% 0.07/0.32  
% 0.07/0.32  % SZS output end IncompleteProof
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