TSTP Solution File: SEU223+3 by lazyCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : lazyCoP---0.1
% Problem  : SEU223+3 : 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 : n028.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 11:54:13 EDT 2022

% Result   : Theorem 54.40s 7.63s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SEU223+3 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12  % Command  : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.12/0.33  % Computer : n028.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
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jun 19 16:16:00 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 54.40/7.63  % SZS status Theorem
% 54.40/7.63  % SZS output begin IncompleteProof
% 54.40/7.63  cnf(c0, axiom,
% 54.40/7.63  	relation(sK16)).
% 54.40/7.63  cnf(c1, plain,
% 54.40/7.63  	relation(sK16),
% 54.40/7.63  	inference(start, [], [c0])).
% 54.40/7.63  
% 54.40/7.63  cnf(c2, axiom,
% 54.40/7.63  	relation(relation_dom_restriction(X0,X1)) | ~relation(X0)).
% 54.40/7.63  cnf(a0, assumption,
% 54.40/7.63  	sK16 = X0).
% 54.40/7.63  cnf(c3, plain,
% 54.40/7.63  	$false,
% 54.40/7.63  	inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])).
% 54.40/7.63  cnf(c4, plain,
% 54.40/7.63  	relation(relation_dom_restriction(X0,X1)),
% 54.40/7.63  	inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])).
% 54.40/7.63  
% 54.40/7.63  cnf(c5, axiom,
% 54.40/7.63  	sP2(X2,X3,X4) | ~function(X4) | ~relation(X4) | ~function(X3) | ~relation(X3)).
% 54.40/7.63  cnf(a1, assumption,
% 54.40/7.63  	relation_dom_restriction(X0,X1) = X3).
% 54.40/7.63  cnf(c6, plain,
% 54.40/7.63  	$false,
% 54.40/7.63  	inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])).
% 54.40/7.63  cnf(c7, plain,
% 54.40/7.63  	sP2(X2,X3,X4) | ~function(X4) | ~relation(X4) | ~function(X3),
% 54.40/7.63  	inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])).
% 54.40/7.63  
% 54.40/7.63  cnf(c8, axiom,
% 54.40/7.63  	sP1(X5,relation_dom_restriction(X5,X6),X6) | ~sP2(X6,relation_dom_restriction(X5,X6),X5)).
% 54.40/7.63  cnf(a2, assumption,
% 54.40/7.63  	X2 = X6).
% 54.40/7.63  cnf(a3, assumption,
% 54.40/7.63  	X3 = relation_dom_restriction(X5,X6)).
% 54.40/7.63  cnf(a4, assumption,
% 54.40/7.63  	X4 = X5).
% 54.40/7.63  cnf(c9, plain,
% 54.40/7.63  	~function(X4) | ~relation(X4) | ~function(X3),
% 54.40/7.63  	inference(strict_predicate_extension, [assumptions([a2, a3, a4])], [c7, c8])).
% 54.40/7.63  cnf(c10, plain,
% 54.40/7.63  	sP1(X5,relation_dom_restriction(X5,X6),X6),
% 54.40/7.63  	inference(strict_predicate_extension, [assumptions([a2, a3, a4])], [c7, c8])).
% 54.40/7.63  
% 54.40/7.63  cnf(c11, axiom,
% 54.40/7.63  	apply(X7,X8) = apply(X9,X8) | ~in(X8,relation_dom(X7)) | ~sP1(X9,X7,X10)).
% 54.40/7.63  cnf(a5, assumption,
% 54.40/7.63  	X5 = X9).
% 54.40/7.63  cnf(a6, assumption,
% 54.40/7.63  	relation_dom_restriction(X5,X6) = X7).
% 54.40/7.63  cnf(a7, assumption,
% 54.40/7.63  	X6 = X10).
% 54.40/7.63  cnf(c12, plain,
% 54.40/7.63  	$false,
% 54.40/7.63  	inference(strict_predicate_extension, [assumptions([a5, a6, a7])], [c10, c11])).
% 54.40/7.63  cnf(c13, plain,
% 54.40/7.63  	apply(X7,X8) = apply(X9,X8) | ~in(X8,relation_dom(X7)),
% 54.40/7.63  	inference(strict_predicate_extension, [assumptions([a5, a6, a7])], [c10, c11])).
% 54.40/7.63  
% 54.40/7.63  cnf(c14, axiom,
% 54.40/7.63  	apply(relation_dom_restriction(sK16,sK14),sK15) != apply(sK16,sK15)).
% 54.40/7.63  cnf(a8, assumption,
% 54.40/7.63  	apply(relation_dom_restriction(sK16,sK14),sK15) = apply(X7,X8)).
% 54.40/7.63  cnf(a9, assumption,
% 54.40/7.63  	apply(X9,X8) = X11).
% 54.40/7.63  cnf(c15, plain,
% 54.40/7.63  	~in(X8,relation_dom(X7)),
% 54.40/7.63  	inference(strict_subterm_extension, [assumptions([a8, a9])], [c13, c14])).
% 54.40/7.63  cnf(c16, plain,
% 54.40/7.63  	$false,
% 54.40/7.63  	inference(strict_subterm_extension, [assumptions([a8, a9])], [c13, c14])).
% 54.40/7.63  cnf(c17, plain,
% 54.40/7.63  	X11 != apply(sK16,sK15),
% 54.40/7.63  	inference(strict_subterm_extension, [assumptions([a8, a9])], [c13, c14])).
% 54.40/7.63  
% 54.40/7.63  cnf(a10, assumption,
% 54.40/7.63  	X11 = apply(sK16,sK15)).
% 54.40/7.63  cnf(c18, plain,
% 54.40/7.63  	$false,
% 54.40/7.63  	inference(reflexivity, [assumptions([a10])], [c17])).
% 54.40/7.63  
% 54.40/7.63  cnf(c19, axiom,
% 54.40/7.63  	in(sK15,relation_dom(relation_dom_restriction(sK16,sK14)))).
% 54.40/7.63  cnf(a11, assumption,
% 54.40/7.63  	X8 = sK15).
% 54.40/7.63  cnf(a12, assumption,
% 54.40/7.63  	relation_dom(X7) = relation_dom(relation_dom_restriction(sK16,sK14))).
% 54.40/7.63  cnf(c20, plain,
% 54.40/7.63  	$false,
% 54.40/7.63  	inference(strict_predicate_extension, [assumptions([a11, a12])], [c15, c19])).
% 54.40/7.63  cnf(c21, plain,
% 54.40/7.63  	$false,
% 54.40/7.63  	inference(strict_predicate_extension, [assumptions([a11, a12])], [c15, c19])).
% 54.40/7.63  
% 54.40/7.63  cnf(c22, axiom,
% 54.40/7.63  	function(sK16)).
% 54.40/7.63  cnf(a13, assumption,
% 54.40/7.63  	X4 = sK16).
% 54.40/7.63  cnf(c23, plain,
% 54.40/7.63  	~relation(X4) | ~function(X3),
% 54.40/7.63  	inference(strict_predicate_extension, [assumptions([a13])], [c9, c22])).
% 54.40/7.63  cnf(c24, plain,
% 54.40/7.63  	$false,
% 54.40/7.63  	inference(strict_predicate_extension, [assumptions([a13])], [c9, c22])).
% 54.40/7.63  
% 54.40/7.63  cnf(c25, plain,
% 54.40/7.63  	relation(sK16)).
% 54.40/7.63  cnf(a14, assumption,
% 54.40/7.63  	X4 = sK16).
% 54.40/7.63  cnf(c26, plain,
% 54.40/7.63  	~function(X3),
% 54.40/7.63  	inference(predicate_reduction, [assumptions([a14])], [c23, c25])).
% 54.40/7.63  
% 54.40/7.63  cnf(c27, axiom,
% 54.40/7.63  	function(relation_dom_restriction(X12,X13)) | ~function(X12) | ~relation(X12)).
% 54.40/7.63  cnf(a15, assumption,
% 54.40/7.63  	X3 = relation_dom_restriction(X12,X13)).
% 54.40/7.63  cnf(c28, plain,
% 54.40/7.63  	$false,
% 54.40/7.63  	inference(strict_predicate_extension, [assumptions([a15])], [c26, c27])).
% 54.40/7.63  cnf(c29, plain,
% 54.40/7.63  	~function(X12) | ~relation(X12),
% 54.40/7.63  	inference(strict_predicate_extension, [assumptions([a15])], [c26, c27])).
% 54.40/7.63  
% 54.40/7.63  cnf(c30, plain,
% 54.40/7.63  	function(X4)).
% 54.40/7.63  cnf(a16, assumption,
% 54.40/7.63  	X12 = X4).
% 54.40/7.63  cnf(c31, plain,
% 54.40/7.63  	~relation(X12),
% 54.40/7.63  	inference(predicate_reduction, [assumptions([a16])], [c29, c30])).
% 54.40/7.63  
% 54.40/7.63  cnf(c32, plain,
% 54.40/7.63  	relation(sK16)).
% 54.40/7.63  cnf(a17, assumption,
% 54.40/7.63  	X12 = sK16).
% 54.40/7.63  cnf(c33, plain,
% 54.40/7.63  	$false,
% 54.40/7.63  	inference(predicate_reduction, [assumptions([a17])], [c31, c32])).
% 54.40/7.64  
% 54.40/7.64  cnf(c34, plain,
% 54.40/7.64  	$false,
% 54.40/7.64  	inference(constraint_solving, [
% 54.40/7.64  		bind(X0, sK16),
% 54.40/7.64  		bind(X1, sK14),
% 54.40/7.64  		bind(X2, sK14),
% 54.40/7.64  		bind(X3, relation_dom_restriction(X0,X1)),
% 54.40/7.64  		bind(X4, sK16),
% 54.40/7.64  		bind(X5, sK16),
% 54.40/7.64  		bind(X6, sK14),
% 54.40/7.64  		bind(X7, relation_dom_restriction(X5,X6)),
% 54.40/7.64  		bind(X8, sK15),
% 54.40/7.64  		bind(X9, sK16),
% 54.40/7.64  		bind(X10, sK14),
% 54.40/7.64  		bind(X11, apply(X9,X8)),
% 54.40/7.64  		bind(X12, sK16),
% 54.40/7.64  		bind(X13, sK14)
% 54.40/7.64  	],
% 54.40/7.64  	[a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17])).
% 54.40/7.64  
% 54.40/7.64  % SZS output end IncompleteProof
%------------------------------------------------------------------------------