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lazyCoP---0.1.THM-Ass.s

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%------------------------------------------------------------------------------
% File     : lazyCoP---0.1
% Problem  : SEU165+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop

% Computer : n011.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  : 600s
% DateTime : Tue Jul 19 11:53:41 EDT 2022

% Result   : Theorem 0.19s 0.40s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SEU165+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12  % Command  : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.13/0.33  % Computer : n011.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Mon Jun 20 08:21:09 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.40  % SZS status Theorem
% 0.19/0.40  % SZS output begin IncompleteProof
% 0.19/0.40  cnf(c0, axiom,
% 0.19/0.40  	in(sK2,sK4) | in(unordered_pair(unordered_pair(sK2,sK3),singleton(sK2)),cartesian_product2(sK4,sK5))).
% 0.19/0.40  cnf(c1, plain,
% 0.19/0.40  	in(sK2,sK4) | in(unordered_pair(unordered_pair(sK2,sK3),singleton(sK2)),cartesian_product2(sK4,sK5)),
% 0.19/0.40  	inference(start, [], [c0])).
% 0.19/0.40  
% 0.19/0.40  cnf(c2, axiom,
% 0.19/0.40  	~in(sK3,sK5) | ~in(sK2,sK4) | ~in(unordered_pair(unordered_pair(sK2,sK3),singleton(sK2)),cartesian_product2(sK4,sK5))).
% 0.19/0.40  cnf(a0, assumption,
% 0.19/0.40  	sK2 = sK2).
% 0.19/0.40  cnf(a1, assumption,
% 0.19/0.40  	sK4 = sK4).
% 0.19/0.40  cnf(c3, plain,
% 0.19/0.40  	in(unordered_pair(unordered_pair(sK2,sK3),singleton(sK2)),cartesian_product2(sK4,sK5)),
% 0.19/0.40  	inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 0.19/0.40  cnf(c4, plain,
% 0.19/0.40  	~in(sK3,sK5) | ~in(unordered_pair(unordered_pair(sK2,sK3),singleton(sK2)),cartesian_product2(sK4,sK5)),
% 0.19/0.40  	inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 0.19/0.40  
% 0.19/0.40  cnf(c5, axiom,
% 0.19/0.40  	in(X0,X1) | ~in(unordered_pair(unordered_pair(X2,X0),singleton(X2)),cartesian_product2(X3,X1))).
% 0.19/0.40  cnf(a2, assumption,
% 0.19/0.40  	sK3 = X0).
% 0.19/0.40  cnf(a3, assumption,
% 0.19/0.40  	sK5 = X1).
% 0.19/0.40  cnf(c6, plain,
% 0.19/0.40  	~in(unordered_pair(unordered_pair(sK2,sK3),singleton(sK2)),cartesian_product2(sK4,sK5)),
% 0.19/0.40  	inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])).
% 0.19/0.40  cnf(c7, plain,
% 0.19/0.40  	~in(unordered_pair(unordered_pair(X2,X0),singleton(X2)),cartesian_product2(X3,X1)),
% 0.19/0.40  	inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])).
% 0.19/0.40  
% 0.19/0.40  cnf(c8, axiom,
% 0.19/0.40  	in(sK3,sK5) | in(unordered_pair(unordered_pair(sK2,sK3),singleton(sK2)),cartesian_product2(sK4,sK5))).
% 0.19/0.40  cnf(a4, assumption,
% 0.19/0.40  	unordered_pair(unordered_pair(X2,X0),singleton(X2)) = unordered_pair(unordered_pair(sK2,sK3),singleton(sK2))).
% 0.19/0.40  cnf(a5, assumption,
% 0.19/0.40  	cartesian_product2(X3,X1) = cartesian_product2(sK4,sK5)).
% 0.19/0.40  cnf(c9, plain,
% 0.19/0.40  	$false,
% 0.19/0.40  	inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])).
% 0.19/0.40  cnf(c10, plain,
% 0.19/0.40  	in(sK3,sK5),
% 0.19/0.40  	inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])).
% 0.19/0.40  
% 0.19/0.40  cnf(c11, plain,
% 0.19/0.40  	~in(sK3,sK5)).
% 0.19/0.40  cnf(a6, assumption,
% 0.19/0.40  	sK3 = sK3).
% 0.19/0.40  cnf(a7, assumption,
% 0.19/0.40  	sK5 = sK5).
% 0.19/0.40  cnf(c12, plain,
% 0.19/0.40  	$false,
% 0.19/0.40  	inference(predicate_reduction, [assumptions([a6, a7])], [c10, c11])).
% 0.19/0.40  
% 0.19/0.40  cnf(c13, axiom,
% 0.19/0.40  	in(unordered_pair(unordered_pair(X4,X5),singleton(X4)),cartesian_product2(X6,X7)) | ~in(X5,X7) | ~in(X4,X6)).
% 0.19/0.40  cnf(a8, assumption,
% 0.19/0.40  	unordered_pair(unordered_pair(sK2,sK3),singleton(sK2)) = unordered_pair(unordered_pair(X4,X5),singleton(X4))).
% 0.19/0.40  cnf(a9, assumption,
% 0.19/0.40  	cartesian_product2(sK4,sK5) = cartesian_product2(X6,X7)).
% 0.19/0.40  cnf(c14, plain,
% 0.19/0.40  	$false,
% 0.19/0.40  	inference(strict_predicate_extension, [assumptions([a8, a9])], [c6, c13])).
% 0.19/0.40  cnf(c15, plain,
% 0.19/0.40  	~in(X5,X7) | ~in(X4,X6),
% 0.19/0.40  	inference(strict_predicate_extension, [assumptions([a8, a9])], [c6, c13])).
% 0.19/0.40  
% 0.19/0.40  cnf(c16, plain,
% 0.19/0.40  	in(sK3,sK5)).
% 0.19/0.40  cnf(a10, assumption,
% 0.19/0.40  	X5 = sK3).
% 0.19/0.40  cnf(a11, assumption,
% 0.19/0.40  	X7 = sK5).
% 0.19/0.40  cnf(c17, plain,
% 0.19/0.40  	~in(X4,X6),
% 0.19/0.40  	inference(predicate_reduction, [assumptions([a10, a11])], [c15, c16])).
% 0.19/0.40  
% 0.19/0.40  cnf(c18, plain,
% 0.19/0.40  	in(sK2,sK4)).
% 0.19/0.40  cnf(a12, assumption,
% 0.19/0.40  	X4 = sK2).
% 0.19/0.40  cnf(a13, assumption,
% 0.19/0.40  	X6 = sK4).
% 0.19/0.40  cnf(c19, plain,
% 0.19/0.40  	$false,
% 0.19/0.40  	inference(predicate_reduction, [assumptions([a12, a13])], [c17, c18])).
% 0.19/0.40  
% 0.19/0.40  cnf(c20, axiom,
% 0.19/0.40  	in(X8,X9) | ~in(unordered_pair(unordered_pair(X8,X10),singleton(X8)),cartesian_product2(X9,X11))).
% 0.19/0.40  cnf(a14, assumption,
% 0.19/0.40  	unordered_pair(unordered_pair(sK2,sK3),singleton(sK2)) = unordered_pair(unordered_pair(X8,X10),singleton(X8))).
% 0.19/0.40  cnf(a15, assumption,
% 0.19/0.40  	cartesian_product2(sK4,sK5) = cartesian_product2(X9,X11)).
% 0.19/0.40  cnf(c21, plain,
% 0.19/0.40  	$false,
% 0.19/0.40  	inference(strict_predicate_extension, [assumptions([a14, a15])], [c3, c20])).
% 0.19/0.40  cnf(c22, plain,
% 0.19/0.40  	in(X8,X9),
% 0.19/0.40  	inference(strict_predicate_extension, [assumptions([a14, a15])], [c3, c20])).
% 0.19/0.40  
% 0.19/0.40  cnf(c23, plain,
% 0.19/0.40  	~in(sK2,sK4)).
% 0.19/0.40  cnf(a16, assumption,
% 0.19/0.40  	X8 = sK2).
% 0.19/0.40  cnf(a17, assumption,
% 0.19/0.40  	X9 = sK4).
% 0.19/0.40  cnf(c24, plain,
% 0.19/0.40  	$false,
% 0.19/0.40  	inference(predicate_reduction, [assumptions([a16, a17])], [c22, c23])).
% 0.19/0.40  
% 0.19/0.40  cnf(c25, plain,
% 0.19/0.40  	$false,
% 0.19/0.40  	inference(constraint_solving, [
% 0.19/0.40  		bind(X0, sK3),
% 0.19/0.40  		bind(X1, sK5),
% 0.19/0.40  		bind(X2, sK2),
% 0.19/0.40  		bind(X3, sK4),
% 0.19/0.40  		bind(X4, sK2),
% 0.19/0.40  		bind(X5, sK3),
% 0.19/0.40  		bind(X6, sK4),
% 0.19/0.40  		bind(X7, sK5),
% 0.19/0.40  		bind(X8, sK2),
% 0.19/0.40  		bind(X9, sK4),
% 0.19/0.40  		bind(X10, sK3),
% 0.19/0.40  		bind(X11, sK5)
% 0.19/0.40  	],
% 0.19/0.40  	[a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17])).
% 0.19/0.40  
% 0.19/0.40  % SZS output end IncompleteProof
%------------------------------------------------------------------------------