TSTP Solution File: SEU045+1 by lazyCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : lazyCoP---0.1
% Problem  : SEU045+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 : n014.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 11:52:55 EDT 2022

% Result   : Theorem 56.71s 7.87s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SEU045+1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.14  % Command  : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.14/0.35  % Computer : n014.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sun Jun 19 20:36:03 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 56.71/7.87  % SZS status Theorem
% 56.71/7.87  % SZS output begin IncompleteProof
% 56.71/7.87  cnf(c0, axiom,
% 56.71/7.87  	relation(sK18)).
% 56.71/7.87  cnf(c1, plain,
% 56.71/7.87  	relation(sK18),
% 56.71/7.87  	inference(start, [], [c0])).
% 56.71/7.87  
% 56.71/7.87  cnf(c2, axiom,
% 56.71/7.87  	relation(relation_rng_restriction(X0,X1)) | ~relation(X1)).
% 56.71/7.87  cnf(a0, assumption,
% 56.71/7.87  	sK18 = X1).
% 56.71/7.87  cnf(c3, plain,
% 56.71/7.87  	$false,
% 56.71/7.87  	inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])).
% 56.71/7.87  cnf(c4, plain,
% 56.71/7.87  	relation(relation_rng_restriction(X0,X1)),
% 56.71/7.87  	inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])).
% 56.71/7.87  
% 56.71/7.87  cnf(c5, axiom,
% 56.71/7.87  	sP4(X2,X3,X4) | ~function(X3) | ~relation(X3) | ~function(X4) | ~relation(X4)).
% 56.71/7.87  cnf(a1, assumption,
% 56.71/7.87  	relation_rng_restriction(X0,X1) = X4).
% 56.71/7.87  cnf(c6, plain,
% 56.71/7.87  	$false,
% 56.71/7.87  	inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])).
% 56.71/7.87  cnf(c7, plain,
% 56.71/7.87  	sP4(X2,X3,X4) | ~function(X3) | ~relation(X3) | ~function(X4),
% 56.71/7.87  	inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])).
% 56.71/7.87  
% 56.71/7.87  cnf(c8, axiom,
% 56.71/7.87  	sP3(relation_rng_restriction(X5,X6),X6,X5) | ~sP4(X5,X6,relation_rng_restriction(X5,X6))).
% 56.71/7.87  cnf(a2, assumption,
% 56.71/7.87  	X2 = X5).
% 56.71/7.87  cnf(a3, assumption,
% 56.71/7.87  	X3 = X6).
% 56.71/7.87  cnf(a4, assumption,
% 56.71/7.87  	X4 = relation_rng_restriction(X5,X6)).
% 56.71/7.87  cnf(c9, plain,
% 56.71/7.87  	~function(X3) | ~relation(X3) | ~function(X4),
% 56.71/7.87  	inference(strict_predicate_extension, [assumptions([a2, a3, a4])], [c7, c8])).
% 56.71/7.87  cnf(c10, plain,
% 56.71/7.87  	sP3(relation_rng_restriction(X5,X6),X6,X5),
% 56.71/7.87  	inference(strict_predicate_extension, [assumptions([a2, a3, a4])], [c7, c8])).
% 56.71/7.87  
% 56.71/7.87  cnf(c11, axiom,
% 56.71/7.87  	apply(X7,X8) = apply(X9,X8) | ~in(X8,relation_dom(X9)) | ~sP3(X9,X7,X10)).
% 56.71/7.87  cnf(a5, assumption,
% 56.71/7.87  	relation_rng_restriction(X5,X6) = X9).
% 56.71/7.87  cnf(a6, assumption,
% 56.71/7.87  	X6 = X7).
% 56.71/7.87  cnf(a7, assumption,
% 56.71/7.87  	X5 = X10).
% 56.71/7.87  cnf(c12, plain,
% 56.71/7.87  	$false,
% 56.71/7.87  	inference(strict_predicate_extension, [assumptions([a5, a6, a7])], [c10, c11])).
% 56.71/7.87  cnf(c13, plain,
% 56.71/7.87  	apply(X7,X8) = apply(X9,X8) | ~in(X8,relation_dom(X9)),
% 56.71/7.87  	inference(strict_predicate_extension, [assumptions([a5, a6, a7])], [c10, c11])).
% 56.71/7.87  
% 56.71/7.87  cnf(c14, axiom,
% 56.71/7.87  	apply(relation_rng_restriction(sK16,sK18),sK17) != apply(sK18,sK17)).
% 56.71/7.87  cnf(a8, assumption,
% 56.71/7.87  	apply(relation_rng_restriction(sK16,sK18),sK17) = apply(X9,X8)).
% 56.71/7.87  cnf(a9, assumption,
% 56.71/7.87  	apply(X7,X8) = X11).
% 56.71/7.87  cnf(c15, plain,
% 56.71/7.87  	~in(X8,relation_dom(X9)),
% 56.71/7.87  	inference(strict_subterm_extension, [assumptions([a8, a9])], [c13, c14])).
% 56.71/7.87  cnf(c16, plain,
% 56.71/7.87  	$false,
% 56.71/7.87  	inference(strict_subterm_extension, [assumptions([a8, a9])], [c13, c14])).
% 56.71/7.87  cnf(c17, plain,
% 56.71/7.87  	X11 != apply(sK18,sK17),
% 56.71/7.87  	inference(strict_subterm_extension, [assumptions([a8, a9])], [c13, c14])).
% 56.71/7.87  
% 56.71/7.87  cnf(a10, assumption,
% 56.71/7.87  	X11 = apply(sK18,sK17)).
% 56.71/7.87  cnf(c18, plain,
% 56.71/7.87  	$false,
% 56.71/7.87  	inference(reflexivity, [assumptions([a10])], [c17])).
% 56.71/7.87  
% 56.71/7.87  cnf(c19, axiom,
% 56.71/7.87  	in(sK17,relation_dom(relation_rng_restriction(sK16,sK18)))).
% 56.71/7.87  cnf(a11, assumption,
% 56.71/7.87  	X8 = sK17).
% 56.71/7.87  cnf(a12, assumption,
% 56.71/7.87  	relation_dom(X9) = relation_dom(relation_rng_restriction(sK16,sK18))).
% 56.71/7.87  cnf(c20, plain,
% 56.71/7.87  	$false,
% 56.71/7.87  	inference(strict_predicate_extension, [assumptions([a11, a12])], [c15, c19])).
% 56.71/7.87  cnf(c21, plain,
% 56.71/7.87  	$false,
% 56.71/7.87  	inference(strict_predicate_extension, [assumptions([a11, a12])], [c15, c19])).
% 56.71/7.87  
% 56.71/7.87  cnf(c22, axiom,
% 56.71/7.87  	function(sK18)).
% 56.71/7.87  cnf(a13, assumption,
% 56.71/7.87  	X3 = sK18).
% 56.71/7.87  cnf(c23, plain,
% 56.71/7.87  	~relation(X3) | ~function(X4),
% 56.71/7.87  	inference(strict_predicate_extension, [assumptions([a13])], [c9, c22])).
% 56.71/7.87  cnf(c24, plain,
% 56.71/7.87  	$false,
% 56.71/7.87  	inference(strict_predicate_extension, [assumptions([a13])], [c9, c22])).
% 56.71/7.87  
% 56.71/7.87  cnf(c25, plain,
% 56.71/7.87  	relation(sK18)).
% 56.71/7.87  cnf(a14, assumption,
% 56.71/7.87  	X3 = sK18).
% 56.71/7.87  cnf(c26, plain,
% 56.71/7.87  	~function(X4),
% 56.71/7.87  	inference(predicate_reduction, [assumptions([a14])], [c23, c25])).
% 56.71/7.87  
% 56.71/7.87  cnf(c27, axiom,
% 56.71/7.87  	function(relation_rng_restriction(X12,X13)) | ~function(X13) | ~relation(X13)).
% 56.71/7.87  cnf(a15, assumption,
% 56.71/7.87  	X4 = relation_rng_restriction(X12,X13)).
% 56.71/7.87  cnf(c28, plain,
% 56.71/7.87  	$false,
% 56.71/7.87  	inference(strict_predicate_extension, [assumptions([a15])], [c26, c27])).
% 56.71/7.87  cnf(c29, plain,
% 56.71/7.87  	~function(X13) | ~relation(X13),
% 56.71/7.87  	inference(strict_predicate_extension, [assumptions([a15])], [c26, c27])).
% 56.71/7.87  
% 56.71/7.87  cnf(c30, plain,
% 56.71/7.87  	function(X3)).
% 56.71/7.87  cnf(a16, assumption,
% 56.71/7.87  	X13 = X3).
% 56.71/7.87  cnf(c31, plain,
% 56.71/7.87  	~relation(X13),
% 56.71/7.87  	inference(predicate_reduction, [assumptions([a16])], [c29, c30])).
% 56.71/7.87  
% 56.71/7.87  cnf(c32, plain,
% 56.71/7.87  	relation(sK18)).
% 56.71/7.87  cnf(a17, assumption,
% 56.71/7.87  	X13 = sK18).
% 56.71/7.87  cnf(c33, plain,
% 56.71/7.87  	$false,
% 56.71/7.87  	inference(predicate_reduction, [assumptions([a17])], [c31, c32])).
% 56.71/7.87  
% 56.71/7.87  cnf(c34, plain,
% 56.71/7.87  	$false,
% 56.71/7.87  	inference(constraint_solving, [
% 56.71/7.87  		bind(X0, sK16),
% 56.71/7.87  		bind(X1, sK18),
% 56.71/7.87  		bind(X2, sK16),
% 56.71/7.87  		bind(X3, sK18),
% 56.71/7.87  		bind(X4, relation_rng_restriction(X0,X1)),
% 56.71/7.87  		bind(X5, sK16),
% 56.71/7.87  		bind(X6, sK18),
% 56.71/7.87  		bind(X7, sK18),
% 56.71/7.87  		bind(X8, sK17),
% 56.71/7.87  		bind(X9, relation_rng_restriction(X5,X6)),
% 56.71/7.87  		bind(X10, sK16),
% 56.71/7.87  		bind(X11, apply(X7,X8)),
% 56.71/7.87  		bind(X12, sK16),
% 56.71/7.87  		bind(X13, sK18)
% 56.71/7.87  	],
% 56.71/7.87  	[a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17])).
% 56.71/7.87  
% 56.71/7.87  % SZS output end IncompleteProof
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