TSTP Solution File: KLE067+1 by lazyCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : lazyCoP---0.1
% Problem  : KLE067+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop

% Computer : n012.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 : Sun Jul 17 02:09:23 EDT 2022

% Result   : Theorem 21.40s 3.13s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : KLE067+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13  % Command  : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.12/0.34  % Computer : n012.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Thu Jun 16 14:54:24 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 21.40/3.13  % SZS status Theorem
% 21.40/3.13  % SZS output begin IncompleteProof
% 21.40/3.13  cnf(c0, axiom,
% 21.40/3.13  	addition(domain(sK0),domain(sK1)) != domain(addition(domain(sK0),domain(sK1)))).
% 21.40/3.13  cnf(c1, plain,
% 21.40/3.13  	addition(domain(sK0),domain(sK1)) != domain(addition(domain(sK0),domain(sK1))),
% 21.40/3.13  	inference(start, [], [c0])).
% 21.40/3.13  
% 21.40/3.13  cnf(c2, axiom,
% 21.40/3.13  	domain(addition(X0,X1)) = addition(domain(X0),domain(X1))).
% 21.40/3.13  cnf(a0, assumption,
% 21.40/3.13  	addition(domain(sK0),domain(sK1)) = addition(domain(X0),domain(X1))).
% 21.40/3.13  cnf(c3, plain,
% 21.40/3.13  	$false,
% 21.40/3.13  	inference(strict_function_extension, [assumptions([a0])], [c1, c2])).
% 21.40/3.13  cnf(c4, plain,
% 21.40/3.13  	$false,
% 21.40/3.13  	inference(strict_function_extension, [assumptions([a0])], [c1, c2])).
% 21.40/3.13  cnf(c5, plain,
% 21.40/3.13  	X2 != domain(addition(X0,X1)) | addition(domain(sK0),domain(sK1)) != domain(X2),
% 21.40/3.13  	inference(strict_function_extension, [assumptions([a0])], [c1, c2])).
% 21.40/3.13  
% 21.40/3.13  cnf(a1, assumption,
% 21.40/3.13  	X2 = domain(addition(X0,X1))).
% 21.40/3.13  cnf(c6, plain,
% 21.40/3.13  	addition(domain(sK0),domain(sK1)) != domain(X2),
% 21.40/3.13  	inference(reflexivity, [assumptions([a1])], [c5])).
% 21.40/3.13  
% 21.40/3.13  cnf(c7, plain,
% 21.40/3.13  	domain(addition(X0,X1)) = addition(domain(X0),domain(X1))).
% 21.40/3.13  cnf(a2, assumption,
% 21.40/3.13  	addition(domain(sK0),domain(sK1)) = addition(domain(X0),domain(X1))).
% 21.40/3.13  cnf(a3, assumption,
% 21.40/3.13  	domain(addition(X0,X1)) = X3).
% 21.40/3.13  cnf(c8, plain,
% 21.40/3.13  	$false,
% 21.40/3.13  	inference(equality_reduction, [assumptions([a2, a3])], [c6, c7])).
% 21.40/3.13  cnf(c9, plain,
% 21.40/3.13  	X3 != domain(X2),
% 21.40/3.13  	inference(equality_reduction, [assumptions([a2, a3])], [c6, c7])).
% 21.40/3.13  
% 21.40/3.13  cnf(c10, axiom,
% 21.40/3.13  	domain(multiplication(X4,X5)) = domain(multiplication(X4,domain(X5)))).
% 21.40/3.13  cnf(a4, assumption,
% 21.40/3.13  	domain(X6) = domain(X2)).
% 21.40/3.13  cnf(c11, plain,
% 21.40/3.13  	$false,
% 21.40/3.13  	inference(lazy_function_extension, [assumptions([a4])], [c9, c10])).
% 21.40/3.13  cnf(c12, plain,
% 21.40/3.13  	$false,
% 21.40/3.13  	inference(lazy_function_extension, [assumptions([a4])], [c9, c10])).
% 21.40/3.13  cnf(c13, plain,
% 21.40/3.13  	X6 != multiplication(X4,domain(X5)) | X7 != domain(multiplication(X4,X5)) | X3 != X7,
% 21.40/3.13  	inference(lazy_function_extension, [assumptions([a4])], [c9, c10])).
% 21.40/3.13  
% 21.40/3.13  cnf(c14, axiom,
% 21.40/3.13  	multiplication(one,X8) = X8).
% 21.40/3.13  cnf(a5, assumption,
% 21.40/3.13  	multiplication(X4,domain(X5)) = multiplication(one,X8)).
% 21.40/3.13  cnf(c15, plain,
% 21.40/3.13  	X7 != domain(multiplication(X4,X5)) | X3 != X7,
% 21.40/3.13  	inference(strict_function_extension, [assumptions([a5])], [c13, c14])).
% 21.40/3.13  cnf(c16, plain,
% 21.40/3.13  	$false,
% 21.40/3.13  	inference(strict_function_extension, [assumptions([a5])], [c13, c14])).
% 21.40/3.13  cnf(c17, plain,
% 21.40/3.13  	X9 != X8 | X6 != X9,
% 21.40/3.13  	inference(strict_function_extension, [assumptions([a5])], [c13, c14])).
% 21.40/3.13  
% 21.40/3.13  cnf(a6, assumption,
% 21.40/3.13  	X9 = X8).
% 21.40/3.13  cnf(c18, plain,
% 21.40/3.13  	X6 != X9,
% 21.40/3.13  	inference(reflexivity, [assumptions([a6])], [c17])).
% 21.40/3.13  
% 21.40/3.13  cnf(a7, assumption,
% 21.40/3.13  	X6 = X9).
% 21.40/3.13  cnf(c19, plain,
% 21.40/3.13  	$false,
% 21.40/3.13  	inference(reflexivity, [assumptions([a7])], [c18])).
% 21.40/3.13  
% 21.40/3.13  cnf(c20, axiom,
% 21.40/3.13  	multiplication(one,X10) = X10).
% 21.40/3.13  cnf(a8, assumption,
% 21.40/3.13  	multiplication(X4,X5) = multiplication(one,X10)).
% 21.40/3.13  cnf(c21, plain,
% 21.40/3.13  	X3 != X7,
% 21.40/3.13  	inference(strict_function_extension, [assumptions([a8])], [c15, c20])).
% 21.40/3.13  cnf(c22, plain,
% 21.40/3.13  	$false,
% 21.40/3.13  	inference(strict_function_extension, [assumptions([a8])], [c15, c20])).
% 21.40/3.13  cnf(c23, plain,
% 21.40/3.13  	X11 != X10 | X7 != domain(X11),
% 21.40/3.13  	inference(strict_function_extension, [assumptions([a8])], [c15, c20])).
% 21.40/3.13  
% 21.40/3.13  cnf(a9, assumption,
% 21.40/3.13  	X11 = X10).
% 21.40/3.13  cnf(c24, plain,
% 21.40/3.13  	X7 != domain(X11),
% 21.40/3.13  	inference(reflexivity, [assumptions([a9])], [c23])).
% 21.40/3.13  
% 21.40/3.13  cnf(a10, assumption,
% 21.40/3.13  	X7 = domain(X11)).
% 21.40/3.13  cnf(c25, plain,
% 21.40/3.13  	$false,
% 21.40/3.13  	inference(reflexivity, [assumptions([a10])], [c24])).
% 21.40/3.13  
% 21.40/3.13  cnf(a11, assumption,
% 21.40/3.13  	X3 = X7).
% 21.40/3.13  cnf(c26, plain,
% 21.40/3.13  	$false,
% 21.40/3.13  	inference(reflexivity, [assumptions([a11])], [c21])).
% 21.40/3.13  
% 21.40/3.13  cnf(c27, plain,
% 21.40/3.13  	$false,
% 21.40/3.13  	inference(constraint_solving, [
% 21.40/3.13  		bind(X0, sK0),
% 21.40/3.13  		bind(X1, sK1),
% 21.40/3.13  		bind(X2, domain(addition(X0,X1))),
% 21.40/3.13  		bind(X3, domain(addition(X0,X1))),
% 21.40/3.13  		bind(X4, one),
% 21.40/3.13  		bind(X5, addition(X0,X1)),
% 21.40/3.13  		bind(X7, domain(X11)),
% 21.40/3.13  		bind(X6, domain(addition(X0,X1))),
% 21.40/3.13  		bind(X8, domain(X5)),
% 21.40/3.13  		bind(X9, domain(X5)),
% 21.40/3.13  		bind(X10, addition(X0,X1)),
% 21.40/3.13  		bind(X11, addition(X0,X1))
% 21.40/3.13  	],
% 21.40/3.13  	[a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11])).
% 21.40/3.13  
% 21.40/3.13  % SZS output end IncompleteProof
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