TSTP Solution File: SET175+3 by lazyCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : lazyCoP---0.1
% Problem  : SET175+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop

% Computer : n005.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 02:44:28 EDT 2022

% Result   : Theorem 3.45s 0.83s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET175+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12  % Command  : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.12/0.33  % Computer : n005.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun Jul 10 11:00:07 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 3.45/0.83  % SZS status Theorem
% 3.45/0.83  % SZS output begin IncompleteProof
% 3.45/0.83  cnf(c0, axiom,
% 3.45/0.83  	sK3 != union(sK3,intersection(sK3,sK4))).
% 3.45/0.83  cnf(c1, plain,
% 3.45/0.83  	sK3 != union(sK3,intersection(sK3,sK4)),
% 3.45/0.83  	inference(start, [], [c0])).
% 3.45/0.83  
% 3.45/0.83  cnf(c2, axiom,
% 3.45/0.83  	X0 = X1 | ~sP0(X1,X0)).
% 3.45/0.83  cnf(a0, assumption,
% 3.45/0.83  	union(sK3,intersection(sK3,sK4)) = X1).
% 3.45/0.83  cnf(c3, plain,
% 3.45/0.83  	$false,
% 3.45/0.83  	inference(variable_extension, [assumptions([a0])], [c1, c2])).
% 3.45/0.83  cnf(c4, plain,
% 3.45/0.83  	~sP0(X1,X0),
% 3.45/0.83  	inference(variable_extension, [assumptions([a0])], [c1, c2])).
% 3.45/0.83  cnf(c5, plain,
% 3.45/0.83  	X0 != X2 | sK3 != X2,
% 3.45/0.83  	inference(variable_extension, [assumptions([a0])], [c1, c2])).
% 3.45/0.83  
% 3.45/0.83  cnf(a1, assumption,
% 3.45/0.83  	X0 = X2).
% 3.45/0.83  cnf(c6, plain,
% 3.45/0.83  	sK3 != X2,
% 3.45/0.83  	inference(reflexivity, [assumptions([a1])], [c5])).
% 3.45/0.83  
% 3.45/0.83  cnf(a2, assumption,
% 3.45/0.83  	sK3 = X2).
% 3.45/0.83  cnf(c7, plain,
% 3.45/0.83  	$false,
% 3.45/0.83  	inference(reflexivity, [assumptions([a2])], [c6])).
% 3.45/0.83  
% 3.45/0.83  cnf(c8, axiom,
% 3.45/0.83  	sP0(X3,X4) | ~member(sK2(X3,X4),X3) | ~member(sK2(X3,X4),X4)).
% 3.45/0.83  cnf(a3, assumption,
% 3.45/0.83  	X1 = X3).
% 3.45/0.83  cnf(a4, assumption,
% 3.45/0.83  	X0 = X4).
% 3.45/0.83  cnf(c9, plain,
% 3.45/0.83  	$false,
% 3.45/0.83  	inference(strict_predicate_extension, [assumptions([a3, a4])], [c4, c8])).
% 3.45/0.83  cnf(c10, plain,
% 3.45/0.83  	~member(sK2(X3,X4),X3) | ~member(sK2(X3,X4),X4),
% 3.45/0.83  	inference(strict_predicate_extension, [assumptions([a3, a4])], [c4, c8])).
% 3.45/0.83  
% 3.45/0.83  cnf(c11, axiom,
% 3.45/0.83  	member(X5,union(X6,X7)) | ~member(X5,X6)).
% 3.45/0.83  cnf(a5, assumption,
% 3.45/0.83  	sK2(X3,X4) = X5).
% 3.45/0.83  cnf(a6, assumption,
% 3.45/0.83  	X3 = union(X6,X7)).
% 3.45/0.83  cnf(c12, plain,
% 3.45/0.83  	~member(sK2(X3,X4),X4),
% 3.45/0.83  	inference(strict_predicate_extension, [assumptions([a5, a6])], [c10, c11])).
% 3.45/0.83  cnf(c13, plain,
% 3.45/0.83  	~member(X5,X6),
% 3.45/0.83  	inference(strict_predicate_extension, [assumptions([a5, a6])], [c10, c11])).
% 3.45/0.83  
% 3.45/0.83  cnf(c14, axiom,
% 3.45/0.83  	sP0(X8,X9) | member(sK2(X8,X9),X8) | member(sK2(X8,X9),X9)).
% 3.45/0.83  cnf(a7, assumption,
% 3.45/0.83  	X5 = sK2(X8,X9)).
% 3.45/0.83  cnf(a8, assumption,
% 3.45/0.83  	X6 = X9).
% 3.45/0.83  cnf(c15, plain,
% 3.45/0.83  	$false,
% 3.45/0.83  	inference(strict_predicate_extension, [assumptions([a7, a8])], [c13, c14])).
% 3.45/0.83  cnf(c16, plain,
% 3.45/0.83  	sP0(X8,X9) | member(sK2(X8,X9),X8),
% 3.45/0.83  	inference(strict_predicate_extension, [assumptions([a7, a8])], [c13, c14])).
% 3.45/0.83  
% 3.45/0.83  cnf(c17, plain,
% 3.45/0.83  	~sP0(X1,X0)).
% 3.45/0.83  cnf(a9, assumption,
% 3.45/0.83  	X8 = X1).
% 3.45/0.83  cnf(a10, assumption,
% 3.45/0.83  	X9 = X0).
% 3.45/0.83  cnf(c18, plain,
% 3.45/0.83  	member(sK2(X8,X9),X8),
% 3.45/0.83  	inference(predicate_reduction, [assumptions([a9, a10])], [c16, c17])).
% 3.45/0.83  
% 3.45/0.83  cnf(c19, plain,
% 3.45/0.83  	~member(sK2(X3,X4),X3)).
% 3.45/0.83  cnf(a11, assumption,
% 3.45/0.83  	sK2(X8,X9) = sK2(X3,X4)).
% 3.45/0.83  cnf(a12, assumption,
% 3.45/0.83  	X8 = X3).
% 3.45/0.83  cnf(c20, plain,
% 3.45/0.83  	$false,
% 3.45/0.83  	inference(predicate_reduction, [assumptions([a11, a12])], [c18, c19])).
% 3.45/0.83  
% 3.45/0.83  cnf(c21, axiom,
% 3.45/0.83  	member(X10,X11) | member(X10,X12) | ~member(X10,union(X12,X11))).
% 3.45/0.83  cnf(a13, assumption,
% 3.45/0.83  	sK2(X3,X4) = X10).
% 3.45/0.83  cnf(a14, assumption,
% 3.45/0.83  	X4 = X12).
% 3.45/0.83  cnf(c22, plain,
% 3.45/0.83  	$false,
% 3.45/0.83  	inference(strict_predicate_extension, [assumptions([a13, a14])], [c12, c21])).
% 3.45/0.83  cnf(c23, plain,
% 3.45/0.83  	member(X10,X11) | ~member(X10,union(X12,X11)),
% 3.45/0.83  	inference(strict_predicate_extension, [assumptions([a13, a14])], [c12, c21])).
% 3.45/0.83  
% 3.45/0.83  cnf(c24, axiom,
% 3.45/0.83  	member(X13,X14) | ~member(X13,intersection(X14,X15))).
% 3.45/0.83  cnf(a15, assumption,
% 3.45/0.83  	X10 = X13).
% 3.45/0.83  cnf(a16, assumption,
% 3.45/0.83  	X11 = intersection(X14,X15)).
% 3.45/0.83  cnf(c25, plain,
% 3.45/0.83  	~member(X10,union(X12,X11)),
% 3.45/0.83  	inference(strict_predicate_extension, [assumptions([a15, a16])], [c23, c24])).
% 3.45/0.83  cnf(c26, plain,
% 3.45/0.83  	member(X13,X14),
% 3.45/0.83  	inference(strict_predicate_extension, [assumptions([a15, a16])], [c23, c24])).
% 3.45/0.83  
% 3.45/0.83  cnf(c27, plain,
% 3.45/0.83  	~member(sK2(X3,X4),X4)).
% 3.45/0.83  cnf(a17, assumption,
% 3.45/0.83  	X13 = sK2(X3,X4)).
% 3.45/0.83  cnf(a18, assumption,
% 3.45/0.83  	X14 = X4).
% 3.45/0.83  cnf(c28, plain,
% 3.45/0.83  	$false,
% 3.45/0.83  	inference(predicate_reduction, [assumptions([a17, a18])], [c26, c27])).
% 3.45/0.83  
% 3.45/0.83  cnf(c29, plain,
% 3.45/0.83  	member(sK2(X3,X4),X3)).
% 3.45/0.83  cnf(a19, assumption,
% 3.45/0.83  	X10 = sK2(X3,X4)).
% 3.45/0.83  cnf(a20, assumption,
% 3.45/0.83  	union(X12,X11) = X3).
% 3.45/0.83  cnf(c30, plain,
% 3.45/0.83  	$false,
% 3.45/0.83  	inference(predicate_reduction, [assumptions([a19, a20])], [c25, c29])).
% 3.45/0.83  
% 3.45/0.83  cnf(c31, plain,
% 3.45/0.83  	$false,
% 3.45/0.83  	inference(constraint_solving, [
% 3.45/0.83  		bind(X0, sK3),
% 3.45/0.83  		bind(X1, union(sK3,intersection(sK3,sK4))),
% 3.45/0.83  		bind(X2, sK3),
% 3.45/0.83  		bind(X3, union(sK3,intersection(sK3,sK4))),
% 3.45/0.83  		bind(X4, sK3),
% 3.45/0.83  		bind(X5, sK2(X3,X4)),
% 3.45/0.83  		bind(X6, sK3),
% 3.45/0.83  		bind(X7, intersection(sK3,sK4)),
% 3.45/0.83  		bind(X8, union(sK3,intersection(sK3,sK4))),
% 3.45/0.83  		bind(X9, sK3),
% 3.45/0.83  		bind(X10, sK2(X3,X4)),
% 3.45/0.83  		bind(X11, intersection(X14,X15)),
% 3.45/0.83  		bind(X12, sK3),
% 3.45/0.83  		bind(X13, sK2(X3,X4)),
% 3.45/0.83  		bind(X14, sK3),
% 3.45/0.83  		bind(X15, sK4)
% 3.45/0.83  	],
% 3.45/0.83  	[a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20])).
% 3.45/0.83  
% 3.45/0.83  % SZS output end IncompleteProof
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