TSTP Solution File: SET041-3 by lazyCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : lazyCoP---0.1
% Problem  : SET041-3 : 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 : 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 02:42:53 EDT 2022

% Result   : Unsatisfiable 26.07s 3.73s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
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%----No solution output by system
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%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11  % Problem  : SET041-3 : TPTP v8.1.0. Released v1.0.0.
% 0.02/0.12  % 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 Jul 10 13:12:27 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 26.07/3.73  % SZS status Unsatisfiable
% 26.07/3.73  % SZS output begin IncompleteProof
% 26.07/3.73  cnf(c0, axiom,
% 26.07/3.73  	apply(another_function,apply(a_function,a)) != apply(compose(another_function,a_function),a)).
% 26.07/3.73  cnf(c1, plain,
% 26.07/3.73  	apply(another_function,apply(a_function,a)) != apply(compose(another_function,a_function),a),
% 26.07/3.73  	inference(start, [], [c0])).
% 26.07/3.73  
% 26.07/3.73  cnf(c2, axiom,
% 26.07/3.73  	X0 = X1 | ~subset(X1,X0) | ~subset(X0,X1)).
% 26.07/3.73  cnf(a0, assumption,
% 26.07/3.73  	apply(compose(another_function,a_function),a) = X0).
% 26.07/3.73  cnf(c3, plain,
% 26.07/3.73  	$false,
% 26.07/3.73  	inference(variable_extension, [assumptions([a0])], [c1, c2])).
% 26.07/3.73  cnf(c4, plain,
% 26.07/3.73  	~subset(X1,X0) | ~subset(X0,X1),
% 26.07/3.73  	inference(variable_extension, [assumptions([a0])], [c1, c2])).
% 26.07/3.73  cnf(c5, plain,
% 26.07/3.73  	X1 != X2 | apply(another_function,apply(a_function,a)) != X2,
% 26.07/3.73  	inference(variable_extension, [assumptions([a0])], [c1, c2])).
% 26.07/3.73  
% 26.07/3.73  cnf(a1, assumption,
% 26.07/3.73  	X1 = X2).
% 26.07/3.73  cnf(c6, plain,
% 26.07/3.73  	apply(another_function,apply(a_function,a)) != X2,
% 26.07/3.73  	inference(reflexivity, [assumptions([a1])], [c5])).
% 26.07/3.73  
% 26.07/3.73  cnf(a2, assumption,
% 26.07/3.73  	apply(another_function,apply(a_function,a)) = X2).
% 26.07/3.73  cnf(c7, plain,
% 26.07/3.73  	$false,
% 26.07/3.73  	inference(reflexivity, [assumptions([a2])], [c6])).
% 26.07/3.73  
% 26.07/3.73  cnf(c8, axiom,
% 26.07/3.73  	subset(apply(X3,apply(X4,X5)),apply(compose(X3,X4),X5)) | ~member(X5,domain_of(X4)) | ~function(X4)).
% 26.07/3.73  cnf(a3, assumption,
% 26.07/3.73  	X1 = apply(X3,apply(X4,X5))).
% 26.07/3.73  cnf(a4, assumption,
% 26.07/3.73  	X0 = apply(compose(X3,X4),X5)).
% 26.07/3.73  cnf(c9, plain,
% 26.07/3.73  	~subset(X0,X1),
% 26.07/3.73  	inference(strict_predicate_extension, [assumptions([a3, a4])], [c4, c8])).
% 26.07/3.73  cnf(c10, plain,
% 26.07/3.73  	~member(X5,domain_of(X4)) | ~function(X4),
% 26.07/3.73  	inference(strict_predicate_extension, [assumptions([a3, a4])], [c4, c8])).
% 26.07/3.73  
% 26.07/3.73  cnf(c11, axiom,
% 26.07/3.73  	member(a,domain_of(a_function))).
% 26.07/3.73  cnf(a5, assumption,
% 26.07/3.73  	X5 = a).
% 26.07/3.73  cnf(a6, assumption,
% 26.07/3.73  	domain_of(X4) = domain_of(a_function)).
% 26.07/3.73  cnf(c12, plain,
% 26.07/3.73  	~function(X4),
% 26.07/3.73  	inference(strict_predicate_extension, [assumptions([a5, a6])], [c10, c11])).
% 26.07/3.73  cnf(c13, plain,
% 26.07/3.73  	$false,
% 26.07/3.73  	inference(strict_predicate_extension, [assumptions([a5, a6])], [c10, c11])).
% 26.07/3.73  
% 26.07/3.73  cnf(c14, axiom,
% 26.07/3.73  	function(a_function)).
% 26.07/3.73  cnf(a7, assumption,
% 26.07/3.73  	X4 = a_function).
% 26.07/3.73  cnf(c15, plain,
% 26.07/3.73  	$false,
% 26.07/3.73  	inference(strict_predicate_extension, [assumptions([a7])], [c12, c14])).
% 26.07/3.73  cnf(c16, plain,
% 26.07/3.73  	$false,
% 26.07/3.73  	inference(strict_predicate_extension, [assumptions([a7])], [c12, c14])).
% 26.07/3.73  
% 26.07/3.73  cnf(c17, axiom,
% 26.07/3.73  	subset(apply(compose(X6,X7),X8),apply(X6,apply(X7,X8))) | ~function(X7)).
% 26.07/3.73  cnf(a8, assumption,
% 26.07/3.73  	X0 = apply(compose(X6,X7),X8)).
% 26.07/3.73  cnf(a9, assumption,
% 26.07/3.73  	X1 = apply(X6,apply(X7,X8))).
% 26.07/3.73  cnf(c18, plain,
% 26.07/3.73  	$false,
% 26.07/3.73  	inference(strict_predicate_extension, [assumptions([a8, a9])], [c9, c17])).
% 26.07/3.73  cnf(c19, plain,
% 26.07/3.73  	~function(X7),
% 26.07/3.73  	inference(strict_predicate_extension, [assumptions([a8, a9])], [c9, c17])).
% 26.07/3.73  
% 26.07/3.73  cnf(c20, plain,
% 26.07/3.73  	function(X4)).
% 26.07/3.73  cnf(a10, assumption,
% 26.07/3.73  	X7 = X4).
% 26.07/3.73  cnf(c21, plain,
% 26.07/3.73  	$false,
% 26.07/3.73  	inference(predicate_reduction, [assumptions([a10])], [c19, c20])).
% 26.07/3.73  
% 26.07/3.73  cnf(c22, plain,
% 26.07/3.73  	$false,
% 26.07/3.73  	inference(constraint_solving, [
% 26.07/3.73  		bind(X0, apply(compose(another_function,a_function),a)),
% 26.07/3.73  		bind(X1, apply(another_function,apply(a_function,a))),
% 26.07/3.73  		bind(X2, apply(another_function,apply(a_function,a))),
% 26.07/3.73  		bind(X3, another_function),
% 26.07/3.73  		bind(X4, a_function),
% 26.07/3.73  		bind(X5, a),
% 26.07/3.73  		bind(X6, another_function),
% 26.07/3.73  		bind(X7, a_function),
% 26.07/3.73  		bind(X8, a)
% 26.07/3.73  	],
% 26.07/3.73  	[a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10])).
% 26.07/3.73  
% 26.07/3.73  % SZS output end IncompleteProof
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