TSTP Solution File: SET873+1 by lazyCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : lazyCoP---0.1
% Problem  : SET873+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop

% Computer : n022.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 02:48:54 EDT 2022

% Result   : Theorem 1.76s 0.59s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SET873+1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.13  % Command  : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.15/0.35  % Computer : n022.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 600
% 0.15/0.35  % DateTime : Sat Jul  9 20:08:25 EDT 2022
% 0.15/0.35  % CPUTime  : 
% 1.76/0.59  % SZS status Theorem
% 1.76/0.59  % SZS output begin IncompleteProof
% 1.76/0.59  cnf(c0, axiom,
% 1.76/0.59  	sK4 != sK5).
% 1.76/0.59  cnf(c1, plain,
% 1.76/0.59  	sK4 != sK5,
% 1.76/0.59  	inference(start, [], [c0])).
% 1.76/0.59  
% 1.76/0.59  cnf(c2, axiom,
% 1.76/0.59  	X0 = X1 | ~in(X1,X2) | ~sP0(X0,X2)).
% 1.76/0.59  cnf(a0, assumption,
% 1.76/0.59  	sK5 = X1).
% 1.76/0.59  cnf(c3, plain,
% 1.76/0.59  	$false,
% 1.76/0.59  	inference(variable_extension, [assumptions([a0])], [c1, c2])).
% 1.76/0.59  cnf(c4, plain,
% 1.76/0.59  	~in(X1,X2) | ~sP0(X0,X2),
% 1.76/0.59  	inference(variable_extension, [assumptions([a0])], [c1, c2])).
% 1.76/0.59  cnf(c5, plain,
% 1.76/0.59  	X0 != X3 | sK4 != X3,
% 1.76/0.59  	inference(variable_extension, [assumptions([a0])], [c1, c2])).
% 1.76/0.59  
% 1.76/0.59  cnf(a1, assumption,
% 1.76/0.59  	X0 = X3).
% 1.76/0.59  cnf(c6, plain,
% 1.76/0.59  	sK4 != X3,
% 1.76/0.59  	inference(reflexivity, [assumptions([a1])], [c5])).
% 1.76/0.59  
% 1.76/0.59  cnf(a2, assumption,
% 1.76/0.59  	sK4 = X3).
% 1.76/0.59  cnf(c7, plain,
% 1.76/0.59  	$false,
% 1.76/0.59  	inference(reflexivity, [assumptions([a2])], [c6])).
% 1.76/0.59  
% 1.76/0.59  cnf(c8, axiom,
% 1.76/0.59  	in(X4,X5) | ~subset(set_union2(singleton(X4),X5),X5)).
% 1.76/0.59  cnf(a3, assumption,
% 1.76/0.59  	X1 = X4).
% 1.76/0.59  cnf(a4, assumption,
% 1.76/0.59  	X2 = X5).
% 1.76/0.59  cnf(c9, plain,
% 1.76/0.59  	~sP0(X0,X2),
% 1.76/0.59  	inference(strict_predicate_extension, [assumptions([a3, a4])], [c4, c8])).
% 1.76/0.59  cnf(c10, plain,
% 1.76/0.59  	~subset(set_union2(singleton(X4),X5),X5),
% 1.76/0.59  	inference(strict_predicate_extension, [assumptions([a3, a4])], [c4, c8])).
% 1.76/0.59  
% 1.76/0.59  cnf(c11, axiom,
% 1.76/0.59  	set_union2(X6,X7) = set_union2(X7,X6)).
% 1.76/0.59  cnf(a5, assumption,
% 1.76/0.59  	set_union2(singleton(X4),X5) = set_union2(X7,X6)).
% 1.76/0.59  cnf(c12, plain,
% 1.76/0.59  	$false,
% 1.76/0.59  	inference(strict_function_extension, [assumptions([a5])], [c10, c11])).
% 1.76/0.59  cnf(c13, plain,
% 1.76/0.59  	$false,
% 1.76/0.59  	inference(strict_function_extension, [assumptions([a5])], [c10, c11])).
% 1.76/0.59  cnf(c14, plain,
% 1.76/0.59  	X8 != set_union2(X6,X7) | ~subset(X8,X5),
% 1.76/0.59  	inference(strict_function_extension, [assumptions([a5])], [c10, c11])).
% 1.76/0.59  
% 1.76/0.59  cnf(c15, axiom,
% 1.76/0.59  	singleton(sK4) = set_union2(singleton(sK4),singleton(sK5))).
% 1.76/0.59  cnf(a6, assumption,
% 1.76/0.59  	set_union2(X6,X7) = set_union2(singleton(sK4),singleton(sK5))).
% 1.76/0.59  cnf(c16, plain,
% 1.76/0.59  	~subset(X8,X5),
% 1.76/0.59  	inference(strict_function_extension, [assumptions([a6])], [c14, c15])).
% 1.76/0.59  cnf(c17, plain,
% 1.76/0.59  	$false,
% 1.76/0.59  	inference(strict_function_extension, [assumptions([a6])], [c14, c15])).
% 1.76/0.59  cnf(c18, plain,
% 1.76/0.59  	X9 != singleton(sK4) | X8 != X9,
% 1.76/0.59  	inference(strict_function_extension, [assumptions([a6])], [c14, c15])).
% 1.76/0.59  
% 1.76/0.59  cnf(a7, assumption,
% 1.76/0.59  	X9 = singleton(sK4)).
% 1.76/0.59  cnf(c19, plain,
% 1.76/0.59  	X8 != X9,
% 1.76/0.59  	inference(reflexivity, [assumptions([a7])], [c18])).
% 1.76/0.59  
% 1.76/0.59  cnf(a8, assumption,
% 1.76/0.59  	X8 = X9).
% 1.76/0.59  cnf(c20, plain,
% 1.76/0.59  	$false,
% 1.76/0.59  	inference(reflexivity, [assumptions([a8])], [c19])).
% 1.76/0.59  
% 1.76/0.59  cnf(c21, axiom,
% 1.76/0.59  	subset(X10,X10)).
% 1.76/0.59  cnf(a9, assumption,
% 1.76/0.59  	X8 = X10).
% 1.76/0.59  cnf(a10, assumption,
% 1.76/0.59  	X5 = X10).
% 1.76/0.59  cnf(c22, plain,
% 1.76/0.59  	$false,
% 1.76/0.59  	inference(strict_predicate_extension, [assumptions([a9, a10])], [c16, c21])).
% 1.76/0.59  cnf(c23, plain,
% 1.76/0.59  	$false,
% 1.76/0.59  	inference(strict_predicate_extension, [assumptions([a9, a10])], [c16, c21])).
% 1.76/0.59  
% 1.76/0.59  cnf(c24, axiom,
% 1.76/0.59  	sP0(X11,singleton(X11))).
% 1.76/0.59  cnf(a11, assumption,
% 1.76/0.59  	X0 = X11).
% 1.76/0.59  cnf(a12, assumption,
% 1.76/0.59  	X2 = singleton(X11)).
% 1.76/0.59  cnf(c25, plain,
% 1.76/0.59  	$false,
% 1.76/0.59  	inference(strict_predicate_extension, [assumptions([a11, a12])], [c9, c24])).
% 1.76/0.59  cnf(c26, plain,
% 1.76/0.59  	$false,
% 1.76/0.59  	inference(strict_predicate_extension, [assumptions([a11, a12])], [c9, c24])).
% 1.76/0.59  
% 1.76/0.59  cnf(c27, plain,
% 1.76/0.59  	$false,
% 1.76/0.59  	inference(constraint_solving, [
% 1.76/0.59  		bind(X0, sK4),
% 1.76/0.59  		bind(X1, sK5),
% 1.76/0.59  		bind(X2, singleton(sK4)),
% 1.76/0.59  		bind(X3, sK4),
% 1.76/0.59  		bind(X4, sK5),
% 1.76/0.59  		bind(X5, singleton(sK4)),
% 1.76/0.59  		bind(X6, singleton(sK4)),
% 1.76/0.59  		bind(X7, singleton(X4)),
% 1.76/0.59  		bind(X8, singleton(sK4)),
% 1.76/0.59  		bind(X9, singleton(sK4)),
% 1.76/0.59  		bind(X10, singleton(sK4)),
% 1.76/0.59  		bind(X11, sK4)
% 1.76/0.59  	],
% 1.76/0.59  	[a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12])).
% 1.76/0.59  
% 1.76/0.59  % SZS output end IncompleteProof
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