TSTP Solution File: CAT005-1 by lazyCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : lazyCoP---0.1
% Problem  : CAT005-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop

% Computer : n032.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 : Fri Jul 15 00:03:26 EDT 2022

% Result   : Unsatisfiable 0.13s 0.30s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : CAT005-1 : TPTP v8.1.0. Released v1.0.0.
% 0.00/0.09  % Command  : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.09/0.28  % Computer : n032.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit : 300
% 0.09/0.28  % WCLimit  : 600
% 0.09/0.28  % DateTime : Sun May 29 16:04:56 EDT 2022
% 0.09/0.28  % CPUTime  : 
% 0.13/0.30  % SZS status Unsatisfiable
% 0.13/0.30  % SZS output begin IncompleteProof
% 0.13/0.30  cnf(c0, axiom,
% 0.13/0.30  	d != domain(a)).
% 0.13/0.30  cnf(c1, plain,
% 0.13/0.30  	d != domain(a),
% 0.13/0.30  	inference(start, [], [c0])).
% 0.13/0.30  
% 0.13/0.30  cnf(c2, axiom,
% 0.13/0.30  	X0 = X1 | ~product(X2,X3,X1) | ~product(X2,X3,X0)).
% 0.13/0.30  cnf(a0, assumption,
% 0.13/0.30  	domain(a) = X0).
% 0.13/0.30  cnf(c3, plain,
% 0.13/0.30  	$false,
% 0.13/0.30  	inference(variable_extension, [assumptions([a0])], [c1, c2])).
% 0.13/0.30  cnf(c4, plain,
% 0.13/0.30  	~product(X2,X3,X1) | ~product(X2,X3,X0),
% 0.13/0.30  	inference(variable_extension, [assumptions([a0])], [c1, c2])).
% 0.13/0.30  cnf(c5, plain,
% 0.13/0.30  	X1 != X4 | d != X4,
% 0.13/0.30  	inference(variable_extension, [assumptions([a0])], [c1, c2])).
% 0.13/0.30  
% 0.13/0.30  cnf(a1, assumption,
% 0.13/0.30  	X1 = X4).
% 0.13/0.30  cnf(c6, plain,
% 0.13/0.30  	d != X4,
% 0.13/0.30  	inference(reflexivity, [assumptions([a1])], [c5])).
% 0.13/0.30  
% 0.13/0.30  cnf(a2, assumption,
% 0.13/0.30  	d = X4).
% 0.13/0.30  cnf(c7, plain,
% 0.13/0.30  	$false,
% 0.13/0.30  	inference(reflexivity, [assumptions([a2])], [c6])).
% 0.13/0.30  
% 0.13/0.30  cnf(c8, axiom,
% 0.13/0.30  	product(X5,X6,X6) | ~identity_map(X5) | ~defined(X5,X6)).
% 0.13/0.30  cnf(a3, assumption,
% 0.13/0.30  	X2 = X5).
% 0.13/0.30  cnf(a4, assumption,
% 0.13/0.30  	X3 = X6).
% 0.13/0.30  cnf(a5, assumption,
% 0.13/0.30  	X1 = X6).
% 0.13/0.30  cnf(c9, plain,
% 0.13/0.30  	~product(X2,X3,X0),
% 0.13/0.30  	inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c8])).
% 0.13/0.30  cnf(c10, plain,
% 0.13/0.30  	~identity_map(X5) | ~defined(X5,X6),
% 0.13/0.30  	inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c8])).
% 0.13/0.30  
% 0.13/0.30  cnf(c11, axiom,
% 0.13/0.30  	identity_map(domain(X7))).
% 0.13/0.30  cnf(a6, assumption,
% 0.13/0.30  	X5 = domain(X7)).
% 0.13/0.30  cnf(c12, plain,
% 0.13/0.30  	~defined(X5,X6),
% 0.13/0.30  	inference(strict_predicate_extension, [assumptions([a6])], [c10, c11])).
% 0.13/0.30  cnf(c13, plain,
% 0.13/0.30  	$false,
% 0.13/0.30  	inference(strict_predicate_extension, [assumptions([a6])], [c10, c11])).
% 0.13/0.30  
% 0.13/0.30  cnf(c14, axiom,
% 0.13/0.30  	defined(X8,X9) | ~defined(X10,X9) | ~product(X11,X8,X10)).
% 0.13/0.30  cnf(a7, assumption,
% 0.13/0.30  	X5 = X8).
% 0.13/0.30  cnf(a8, assumption,
% 0.13/0.30  	X6 = X9).
% 0.13/0.30  cnf(c15, plain,
% 0.13/0.30  	$false,
% 0.13/0.30  	inference(strict_predicate_extension, [assumptions([a7, a8])], [c12, c14])).
% 0.13/0.30  cnf(c16, plain,
% 0.13/0.30  	~defined(X10,X9) | ~product(X11,X8,X10),
% 0.13/0.30  	inference(strict_predicate_extension, [assumptions([a7, a8])], [c12, c14])).
% 0.13/0.30  
% 0.13/0.30  cnf(c17, axiom,
% 0.13/0.30  	defined(a,d)).
% 0.13/0.30  cnf(a9, assumption,
% 0.13/0.30  	X10 = a).
% 0.13/0.30  cnf(a10, assumption,
% 0.13/0.30  	X9 = d).
% 0.13/0.30  cnf(c18, plain,
% 0.13/0.30  	~product(X11,X8,X10),
% 0.13/0.30  	inference(strict_predicate_extension, [assumptions([a9, a10])], [c16, c17])).
% 0.13/0.30  cnf(c19, plain,
% 0.13/0.30  	$false,
% 0.13/0.30  	inference(strict_predicate_extension, [assumptions([a9, a10])], [c16, c17])).
% 0.13/0.30  
% 0.13/0.30  cnf(c20, axiom,
% 0.13/0.30  	product(X12,domain(X12),X12)).
% 0.13/0.30  cnf(a11, assumption,
% 0.13/0.30  	X11 = X12).
% 0.13/0.30  cnf(a12, assumption,
% 0.13/0.30  	X8 = domain(X12)).
% 0.13/0.30  cnf(a13, assumption,
% 0.13/0.30  	X10 = X12).
% 0.13/0.30  cnf(c21, plain,
% 0.13/0.30  	$false,
% 0.13/0.30  	inference(strict_predicate_extension, [assumptions([a11, a12, a13])], [c18, c20])).
% 0.13/0.30  cnf(c22, plain,
% 0.13/0.30  	$false,
% 0.13/0.30  	inference(strict_predicate_extension, [assumptions([a11, a12, a13])], [c18, c20])).
% 0.13/0.30  
% 0.13/0.30  cnf(c23, axiom,
% 0.13/0.30  	product(X13,X14,X13) | ~identity_map(X14) | ~defined(X13,X14)).
% 0.13/0.30  cnf(a14, assumption,
% 0.13/0.30  	X2 = X13).
% 0.13/0.30  cnf(a15, assumption,
% 0.13/0.30  	X3 = X14).
% 0.13/0.30  cnf(a16, assumption,
% 0.13/0.30  	X0 = X13).
% 0.13/0.30  cnf(c24, plain,
% 0.13/0.30  	$false,
% 0.13/0.30  	inference(strict_predicate_extension, [assumptions([a14, a15, a16])], [c9, c23])).
% 0.13/0.30  cnf(c25, plain,
% 0.13/0.30  	~identity_map(X14) | ~defined(X13,X14),
% 0.13/0.30  	inference(strict_predicate_extension, [assumptions([a14, a15, a16])], [c9, c23])).
% 0.13/0.30  
% 0.13/0.30  cnf(c26, axiom,
% 0.13/0.30  	identity_map(d)).
% 0.13/0.30  cnf(a17, assumption,
% 0.13/0.30  	X14 = d).
% 0.13/0.30  cnf(c27, plain,
% 0.13/0.30  	~defined(X13,X14),
% 0.13/0.30  	inference(strict_predicate_extension, [assumptions([a17])], [c25, c26])).
% 0.13/0.30  cnf(c28, plain,
% 0.13/0.30  	$false,
% 0.13/0.30  	inference(strict_predicate_extension, [assumptions([a17])], [c25, c26])).
% 0.13/0.30  
% 0.13/0.30  cnf(c29, plain,
% 0.13/0.30  	defined(X5,X6)).
% 0.13/0.30  cnf(a18, assumption,
% 0.13/0.30  	X13 = X5).
% 0.13/0.30  cnf(a19, assumption,
% 0.13/0.30  	X14 = X6).
% 0.13/0.30  cnf(c30, plain,
% 0.13/0.30  	$false,
% 0.13/0.30  	inference(predicate_reduction, [assumptions([a18, a19])], [c27, c29])).
% 0.13/0.30  
% 0.13/0.30  cnf(c31, plain,
% 0.13/0.30  	$false,
% 0.13/0.30  	inference(constraint_solving, [
% 0.13/0.30  		bind(X0, domain(a)),
% 0.13/0.30  		bind(X1, d),
% 0.13/0.30  		bind(X2, domain(X7)),
% 0.13/0.30  		bind(X3, d),
% 0.13/0.30  		bind(X4, d),
% 0.13/0.30  		bind(X5, domain(X7)),
% 0.13/0.30  		bind(X6, d),
% 0.13/0.30  		bind(X7, a),
% 0.13/0.30  		bind(X8, domain(X7)),
% 0.13/0.30  		bind(X9, d),
% 0.13/0.30  		bind(X10, a),
% 0.13/0.30  		bind(X11, a),
% 0.13/0.30  		bind(X12, a),
% 0.13/0.30  		bind(X13, domain(X7)),
% 0.13/0.30  		bind(X14, d)
% 0.13/0.30  	],
% 0.13/0.30  	[a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19])).
% 0.13/0.30  
% 0.13/0.30  % SZS output end IncompleteProof
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