TSTP Solution File: SYN075-1 by lazyCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : lazyCoP---0.1
% Problem  : SYN075-1 : 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 : n011.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 : Thu Jul 21 08:07:54 EDT 2022

% Result   : Unsatisfiable 20.08s 2.91s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SYN075-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13  % Command  : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.12/0.34  % Computer : n011.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 : Tue Jul 12 04:00:28 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 20.08/2.91  % SZS status Unsatisfiable
% 20.08/2.91  % SZS output begin IncompleteProof
% 20.08/2.91  cnf(c0, axiom,
% 20.08/2.91  	f(X0) = X0 | big_f(g(X0),f(X0))).
% 20.08/2.91  cnf(c1, plain,
% 20.08/2.91  	f(X0) = X0 | big_f(g(X0),f(X0)),
% 20.08/2.91  	inference(start, [], [c0])).
% 20.08/2.91  
% 20.08/2.91  cnf(c2, axiom,
% 20.08/2.91  	h(X1,X2) = X2 | big_f(h(X1,X2),f(X1)) | f(X1) != X1).
% 20.08/2.91  cnf(a0, assumption,
% 20.08/2.91  	f(X1) = f(X0)).
% 20.08/2.91  cnf(c3, plain,
% 20.08/2.91  	big_f(g(X0),f(X0)),
% 20.08/2.91  	inference(strict_subterm_extension, [assumptions([a0])], [c1, c2])).
% 20.08/2.91  cnf(c4, plain,
% 20.08/2.91  	h(X1,X2) = X2 | big_f(h(X1,X2),f(X1)),
% 20.08/2.91  	inference(strict_subterm_extension, [assumptions([a0])], [c1, c2])).
% 20.08/2.91  cnf(c5, plain,
% 20.08/2.91  	X0 != X1,
% 20.08/2.91  	inference(strict_subterm_extension, [assumptions([a0])], [c1, c2])).
% 20.08/2.91  
% 20.08/2.91  cnf(a1, assumption,
% 20.08/2.91  	X0 = X1).
% 20.08/2.91  cnf(c6, plain,
% 20.08/2.91  	$false,
% 20.08/2.91  	inference(reflexivity, [assumptions([a1])], [c5])).
% 20.08/2.91  
% 20.08/2.91  cnf(c7, axiom,
% 20.08/2.91  	~big_f(h(X3,X4),f(X3)) | h(X3,X4) != X4 | f(X3) != X3).
% 20.08/2.91  cnf(a2, assumption,
% 20.08/2.91  	h(X3,X4) = h(X1,X2)).
% 20.08/2.91  cnf(c8, plain,
% 20.08/2.91  	big_f(h(X1,X2),f(X1)),
% 20.08/2.91  	inference(strict_subterm_extension, [assumptions([a2])], [c4, c7])).
% 20.08/2.91  cnf(c9, plain,
% 20.08/2.91  	h(X3,X4) != X4 | f(X3) != X3,
% 20.08/2.91  	inference(strict_subterm_extension, [assumptions([a2])], [c4, c7])).
% 20.08/2.91  cnf(c10, plain,
% 20.08/2.91  	~big_f(X2,f(X3)),
% 20.08/2.91  	inference(strict_subterm_extension, [assumptions([a2])], [c4, c7])).
% 20.08/2.91  
% 20.08/2.91  cnf(c11, plain,
% 20.08/2.91  	f(X0) = X0).
% 20.08/2.91  cnf(a3, assumption,
% 20.08/2.91  	f(X3) = f(X0)).
% 20.08/2.91  cnf(c12, plain,
% 20.08/2.91  	$false,
% 20.08/2.91  	inference(equality_reduction, [assumptions([a3])], [c10, c11])).
% 20.08/2.91  cnf(c13, plain,
% 20.08/2.91  	~big_f(X2,X0),
% 20.08/2.91  	inference(equality_reduction, [assumptions([a3])], [c10, c11])).
% 20.08/2.91  
% 20.08/2.91  cnf(c14, axiom,
% 20.08/2.91  	big_f(a,b)).
% 20.08/2.91  cnf(a4, assumption,
% 20.08/2.91  	X2 = a).
% 20.08/2.91  cnf(a5, assumption,
% 20.08/2.91  	X0 = b).
% 20.08/2.91  cnf(c15, plain,
% 20.08/2.91  	$false,
% 20.08/2.91  	inference(strict_predicate_extension, [assumptions([a4, a5])], [c13, c14])).
% 20.08/2.91  cnf(c16, plain,
% 20.08/2.91  	$false,
% 20.08/2.91  	inference(strict_predicate_extension, [assumptions([a4, a5])], [c13, c14])).
% 20.08/2.91  
% 20.08/2.91  cnf(c17, plain,
% 20.08/2.91  	h(X1,X2) = X2).
% 20.08/2.91  cnf(a6, assumption,
% 20.08/2.91  	h(X3,X4) = h(X1,X2)).
% 20.08/2.91  cnf(c18, plain,
% 20.08/2.91  	f(X3) != X3,
% 20.08/2.91  	inference(equality_reduction, [assumptions([a6])], [c9, c17])).
% 20.08/2.91  cnf(c19, plain,
% 20.08/2.91  	X2 != X4,
% 20.08/2.91  	inference(equality_reduction, [assumptions([a6])], [c9, c17])).
% 20.08/2.91  
% 20.08/2.91  cnf(a7, assumption,
% 20.08/2.91  	X2 = X4).
% 20.08/2.91  cnf(c20, plain,
% 20.08/2.91  	$false,
% 20.08/2.91  	inference(reflexivity, [assumptions([a7])], [c19])).
% 20.08/2.91  
% 20.08/2.91  cnf(c21, plain,
% 20.08/2.91  	f(X1) = X1).
% 20.08/2.91  cnf(a8, assumption,
% 20.08/2.91  	f(X3) = f(X1)).
% 20.08/2.91  cnf(c22, plain,
% 20.08/2.91  	$false,
% 20.08/2.91  	inference(equality_reduction, [assumptions([a8])], [c18, c21])).
% 20.08/2.91  cnf(c23, plain,
% 20.08/2.91  	X1 != X3,
% 20.08/2.91  	inference(equality_reduction, [assumptions([a8])], [c18, c21])).
% 20.08/2.91  
% 20.08/2.91  cnf(a9, assumption,
% 20.08/2.91  	X1 = X3).
% 20.08/2.91  cnf(c24, plain,
% 20.08/2.91  	$false,
% 20.08/2.91  	inference(reflexivity, [assumptions([a9])], [c23])).
% 20.08/2.91  
% 20.08/2.91  cnf(c25, axiom,
% 20.08/2.91  	a = X5 | ~big_f(X5,X6)).
% 20.08/2.91  cnf(a10, assumption,
% 20.08/2.91  	h(X1,X2) = X5).
% 20.08/2.91  cnf(a11, assumption,
% 20.08/2.91  	f(X1) = X6).
% 20.08/2.91  cnf(c26, plain,
% 20.08/2.91  	$false,
% 20.08/2.91  	inference(strict_predicate_extension, [assumptions([a10, a11])], [c8, c25])).
% 20.08/2.91  cnf(c27, plain,
% 20.08/2.91  	a = X5,
% 20.08/2.91  	inference(strict_predicate_extension, [assumptions([a10, a11])], [c8, c25])).
% 20.08/2.91  
% 20.08/2.91  cnf(c28, plain,
% 20.08/2.91  	h(X1,X2) != X2).
% 20.08/2.91  cnf(a12, assumption,
% 20.08/2.91  	h(X1,X2) = X5).
% 20.08/2.91  cnf(a13, assumption,
% 20.08/2.91  	a = X7).
% 20.08/2.91  cnf(c29, plain,
% 20.08/2.91  	$false,
% 20.08/2.91  	inference(subterm_reduction, [assumptions([a12, a13])], [c27, c28])).
% 20.08/2.91  cnf(c30, plain,
% 20.08/2.91  	X7 != X2,
% 20.08/2.91  	inference(subterm_reduction, [assumptions([a12, a13])], [c27, c28])).
% 20.08/2.91  
% 20.08/2.91  cnf(a14, assumption,
% 20.08/2.91  	X7 = X2).
% 20.08/2.91  cnf(c31, plain,
% 20.08/2.91  	$false,
% 20.08/2.91  	inference(reflexivity, [assumptions([a14])], [c30])).
% 20.08/2.91  
% 20.08/2.91  cnf(c32, axiom,
% 20.08/2.91  	b = X8 | ~big_f(X9,X8)).
% 20.08/2.91  cnf(a15, assumption,
% 20.08/2.91  	g(X0) = X9).
% 20.08/2.91  cnf(a16, assumption,
% 20.08/2.91  	f(X0) = X8).
% 20.08/2.91  cnf(c33, plain,
% 20.08/2.91  	$false,
% 20.08/2.91  	inference(strict_predicate_extension, [assumptions([a15, a16])], [c3, c32])).
% 20.08/2.91  cnf(c34, plain,
% 20.08/2.91  	b = X8,
% 20.08/2.91  	inference(strict_predicate_extension, [assumptions([a15, a16])], [c3, c32])).
% 20.08/2.91  
% 20.08/2.91  cnf(c35, plain,
% 20.08/2.91  	f(X0) != X0).
% 20.08/2.91  cnf(a17, assumption,
% 20.08/2.91  	f(X0) = X8).
% 20.08/2.91  cnf(a18, assumption,
% 20.08/2.91  	b = X10).
% 20.08/2.91  cnf(c36, plain,
% 20.08/2.91  	$false,
% 20.08/2.91  	inference(subterm_reduction, [assumptions([a17, a18])], [c34, c35])).
% 20.08/2.91  cnf(c37, plain,
% 20.08/2.91  	X10 != X0,
% 20.08/2.91  	inference(subterm_reduction, [assumptions([a17, a18])], [c34, c35])).
% 20.08/2.91  
% 20.08/2.91  cnf(a19, assumption,
% 20.08/2.91  	X10 = X0).
% 20.08/2.91  cnf(c38, plain,
% 20.08/2.91  	$false,
% 20.08/2.91  	inference(reflexivity, [assumptions([a19])], [c37])).
% 20.08/2.91  
% 20.08/2.91  cnf(c39, plain,
% 20.08/2.91  	$false,
% 20.08/2.91  	inference(constraint_solving, [
% 20.08/2.91  		bind(X0, b),
% 20.08/2.91  		bind(X1, b),
% 20.08/2.91  		bind(X2, a),
% 20.08/2.91  		bind(X3, b),
% 20.08/2.91  		bind(X4, a),
% 20.08/2.91  		bind(X5, h(X1,X2)),
% 20.08/2.91  		bind(X6, f(X1)),
% 20.08/2.91  		bind(X7, a),
% 20.08/2.91  		bind(X8, f(X0)),
% 20.08/2.91  		bind(X9, g(X0)),
% 20.08/2.91  		bind(X10, b)
% 20.08/2.91  	],
% 20.08/2.91  	[a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19])).
% 20.08/2.91  
% 20.08/2.91  % SZS output end IncompleteProof
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