TSTP Solution File: SET638+3 by lazyCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : lazyCoP---0.1
% Problem  : SET638+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 : n021.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 02:47:19 EDT 2022

% Result   : Theorem 183.25s 23.60s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SET638+3 : TPTP v8.1.0. Released v2.2.0.
% 0.04/0.13  % Command  : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun Jul 10 23:45:23 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 183.25/23.60  % SZS status Theorem
% 183.25/23.60  % SZS output begin IncompleteProof
% 183.25/23.60  cnf(c0, axiom,
% 183.25/23.60  	empty_set = intersection(sK4,sK6)).
% 183.25/23.60  cnf(c1, plain,
% 183.25/23.60  	empty_set = intersection(sK4,sK6),
% 183.25/23.60  	inference(start, [], [c0])).
% 183.25/23.60  
% 183.25/23.60  cnf(c2, axiom,
% 183.25/23.60  	intersection(X0,union(X1,X2)) = union(intersection(X0,X1),intersection(X0,X2))).
% 183.25/23.60  cnf(a0, assumption,
% 183.25/23.60  	intersection(X0,X2) = intersection(sK4,sK6)).
% 183.25/23.60  cnf(a1, assumption,
% 183.25/23.60  	empty_set = X3).
% 183.25/23.60  cnf(c3, plain,
% 183.25/23.60  	$false,
% 183.25/23.60  	inference(strict_subterm_extension, [assumptions([a0, a1])], [c1, c2])).
% 183.25/23.60  cnf(c4, plain,
% 183.25/23.60  	$false,
% 183.25/23.60  	inference(strict_subterm_extension, [assumptions([a0, a1])], [c1, c2])).
% 183.25/23.60  cnf(c5, plain,
% 183.25/23.60  	intersection(X0,union(X1,X2)) = union(intersection(X0,X1),X3),
% 183.25/23.60  	inference(strict_subterm_extension, [assumptions([a0, a1])], [c1, c2])).
% 183.25/23.60  
% 183.25/23.60  cnf(c6, axiom,
% 183.25/23.60  	union(X4,empty_set) = X4).
% 183.25/23.60  cnf(a2, assumption,
% 183.25/23.60  	union(X4,empty_set) = union(intersection(X0,X1),X3)).
% 183.25/23.60  cnf(a3, assumption,
% 183.25/23.60  	intersection(X0,union(X1,X2)) = X5).
% 183.25/23.60  cnf(c7, plain,
% 183.25/23.60  	$false,
% 183.25/23.60  	inference(strict_subterm_extension, [assumptions([a2, a3])], [c5, c6])).
% 183.25/23.60  cnf(c8, plain,
% 183.25/23.60  	$false,
% 183.25/23.60  	inference(strict_subterm_extension, [assumptions([a2, a3])], [c5, c6])).
% 183.25/23.60  cnf(c9, plain,
% 183.25/23.60  	X5 = X4,
% 183.25/23.60  	inference(strict_subterm_extension, [assumptions([a2, a3])], [c5, c6])).
% 183.25/23.60  
% 183.25/23.60  cnf(c10, axiom,
% 183.25/23.60  	intersection(X6,X7) = X6 | ~subset(X6,X7)).
% 183.25/23.60  cnf(a4, assumption,
% 183.25/23.60  	intersection(X6,X7) = X5).
% 183.25/23.60  cnf(c11, plain,
% 183.25/23.60  	$false,
% 183.25/23.60  	inference(strict_subterm_extension, [assumptions([a4])], [c9, c10])).
% 183.25/23.60  cnf(c12, plain,
% 183.25/23.60  	~subset(X6,X7),
% 183.25/23.60  	inference(strict_subterm_extension, [assumptions([a4])], [c9, c10])).
% 183.25/23.60  cnf(c13, plain,
% 183.25/23.60  	X4 = X6,
% 183.25/23.60  	inference(strict_subterm_extension, [assumptions([a4])], [c9, c10])).
% 183.25/23.60  
% 183.25/23.60  cnf(c14, axiom,
% 183.25/23.60  	member(X8,X9) | ~member(X8,intersection(X10,X9))).
% 183.25/23.60  cnf(a5, assumption,
% 183.25/23.60  	intersection(X10,X9) = X4).
% 183.25/23.60  cnf(c15, plain,
% 183.25/23.60  	$false,
% 183.25/23.60  	inference(strict_subterm_extension, [assumptions([a5])], [c13, c14])).
% 183.25/23.60  cnf(c16, plain,
% 183.25/23.60  	member(X8,X9),
% 183.25/23.60  	inference(strict_subterm_extension, [assumptions([a5])], [c13, c14])).
% 183.25/23.60  cnf(c17, plain,
% 183.25/23.60  	~member(X8,X6),
% 183.25/23.60  	inference(strict_subterm_extension, [assumptions([a5])], [c13, c14])).
% 183.25/23.60  
% 183.25/23.60  cnf(c18, axiom,
% 183.25/23.60  	subset(X11,X12) | member(sK1(X11,X12),X11)).
% 183.25/23.60  cnf(a6, assumption,
% 183.25/23.60  	X8 = sK1(X11,X12)).
% 183.25/23.60  cnf(a7, assumption,
% 183.25/23.60  	X6 = X11).
% 183.25/23.60  cnf(c19, plain,
% 183.25/23.60  	$false,
% 183.25/23.60  	inference(strict_predicate_extension, [assumptions([a6, a7])], [c17, c18])).
% 183.25/23.60  cnf(c20, plain,
% 183.25/23.60  	subset(X11,X12),
% 183.25/23.60  	inference(strict_predicate_extension, [assumptions([a6, a7])], [c17, c18])).
% 183.25/23.60  
% 183.25/23.60  cnf(c21, axiom,
% 183.25/23.60  	~subset(sK4,sK5)).
% 183.25/23.60  cnf(a8, assumption,
% 183.25/23.60  	X11 = sK4).
% 183.25/23.60  cnf(a9, assumption,
% 183.25/23.60  	X12 = sK5).
% 183.25/23.60  cnf(c22, plain,
% 183.25/23.60  	$false,
% 183.25/23.60  	inference(strict_predicate_extension, [assumptions([a8, a9])], [c20, c21])).
% 183.25/23.60  cnf(c23, plain,
% 183.25/23.60  	$false,
% 183.25/23.60  	inference(strict_predicate_extension, [assumptions([a8, a9])], [c20, c21])).
% 183.25/23.60  
% 183.25/23.60  cnf(c24, axiom,
% 183.25/23.60  	subset(X13,X14) | ~member(sK1(X13,X14),X14)).
% 183.25/23.60  cnf(a10, assumption,
% 183.25/23.60  	X8 = sK1(X13,X14)).
% 183.25/23.60  cnf(a11, assumption,
% 183.25/23.60  	X9 = X14).
% 183.25/23.60  cnf(c25, plain,
% 183.25/23.60  	$false,
% 183.25/23.60  	inference(strict_predicate_extension, [assumptions([a10, a11])], [c16, c24])).
% 183.25/23.60  cnf(c26, plain,
% 183.25/23.60  	subset(X13,X14),
% 183.25/23.60  	inference(strict_predicate_extension, [assumptions([a10, a11])], [c16, c24])).
% 183.25/23.60  
% 183.25/23.60  cnf(c27, plain,
% 183.25/23.60  	~subset(X11,X12)).
% 183.25/23.60  cnf(a12, assumption,
% 183.25/23.60  	X13 = X11).
% 183.25/23.60  cnf(a13, assumption,
% 183.25/23.60  	X14 = X12).
% 183.25/23.60  cnf(c28, plain,
% 183.25/23.60  	$false,
% 183.25/23.60  	inference(predicate_reduction, [assumptions([a12, a13])], [c26, c27])).
% 183.25/23.60  
% 183.25/23.60  cnf(c29, axiom,
% 183.25/23.60  	subset(sK4,union(sK5,sK6))).
% 183.25/23.60  cnf(a14, assumption,
% 183.25/23.60  	X6 = sK4).
% 183.25/23.60  cnf(a15, assumption,
% 183.25/23.60  	X7 = union(sK5,sK6)).
% 183.25/23.60  cnf(c30, plain,
% 183.25/23.60  	$false,
% 183.25/23.60  	inference(strict_predicate_extension, [assumptions([a14, a15])], [c12, c29])).
% 183.25/23.60  cnf(c31, plain,
% 183.25/23.60  	$false,
% 183.25/23.60  	inference(strict_predicate_extension, [assumptions([a14, a15])], [c12, c29])).
% 183.25/23.60  
% 183.25/23.60  cnf(c32, plain,
% 183.25/23.60  	$false,
% 183.25/23.60  	inference(constraint_solving, [
% 183.25/23.60  		bind(X0, sK4),
% 183.25/23.60  		bind(X1, sK5),
% 183.25/23.60  		bind(X2, sK6),
% 183.25/23.60  		bind(X3, empty_set),
% 183.25/23.60  		bind(X4, intersection(X0,X1)),
% 183.25/23.60  		bind(X5, intersection(X0,union(X1,X2))),
% 183.25/23.60  		bind(X6, sK4),
% 183.25/23.60  		bind(X7, union(X1,X2)),
% 183.25/23.60  		bind(X8, sK1(X11,X12)),
% 183.25/23.60  		bind(X9, sK5),
% 183.25/23.60  		bind(X10, sK4),
% 183.25/23.60  		bind(X11, sK4),
% 183.25/23.60  		bind(X12, sK5),
% 183.25/23.60  		bind(X13, sK4),
% 183.25/23.60  		bind(X14, sK5)
% 183.25/23.60  	],
% 183.25/23.60  	[a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15])).
% 183.25/23.60  
% 183.25/23.60  % SZS output end IncompleteProof
%------------------------------------------------------------------------------