TSTP Solution File: SYO612-1 by lazyCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : lazyCoP---0.1
% Problem  : SYO612-1 : TPTP v8.1.0. Released v7.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop

% Computer : n018.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 17:24:36 EDT 2022

% Result   : Unsatisfiable 0.12s 0.34s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SYO612-1 : TPTP v8.1.0. Released v7.1.0.
% 0.06/0.12  % Command  : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.12/0.33  % Computer : n018.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 : Fri Jul  8 23:53:11 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  % SZS status Unsatisfiable
% 0.12/0.34  % SZS output begin IncompleteProof
% 0.12/0.34  cnf(c0, axiom,
% 0.12/0.34  	~le(s(X0),X1) | ~le(s(X2),X0) | ~le(s(X3),X2) | ~le(s(X4),X3) | ~le(s(X5),X4) | ~le(s(X6),X5) | ~eq(f(X1),a0) | ~eq(f(X0),a0) | ~eq(f(X2),a0) | ~eq(f(X3),a0) | ~eq(f(X4),a0) | ~eq(f(X5),a0) | ~eq(f(X6),a0)).
% 0.12/0.34  cnf(c1, plain,
% 0.12/0.34  	~le(s(X0),X1) | ~le(s(X2),X0) | ~le(s(X3),X2) | ~le(s(X4),X3) | ~le(s(X5),X4) | ~le(s(X6),X5) | ~eq(f(X1),a0) | ~eq(f(X0),a0) | ~eq(f(X2),a0) | ~eq(f(X3),a0) | ~eq(f(X4),a0) | ~eq(f(X5),a0) | ~eq(f(X6),a0),
% 0.12/0.34  	inference(start, [], [c0])).
% 0.12/0.34  
% 0.12/0.34  cnf(c2, axiom,
% 0.12/0.34  	le(X7,X7)).
% 0.12/0.34  cnf(a0, assumption,
% 0.12/0.34  	s(X0) = X7).
% 0.12/0.34  cnf(a1, assumption,
% 0.12/0.34  	X1 = X7).
% 0.12/0.34  cnf(c3, plain,
% 0.12/0.34  	~le(s(X2),X0) | ~le(s(X3),X2) | ~le(s(X4),X3) | ~le(s(X5),X4) | ~le(s(X6),X5) | ~eq(f(X1),a0) | ~eq(f(X0),a0) | ~eq(f(X2),a0) | ~eq(f(X3),a0) | ~eq(f(X4),a0) | ~eq(f(X5),a0) | ~eq(f(X6),a0),
% 0.12/0.34  	inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 0.12/0.34  cnf(c4, plain,
% 0.12/0.34  	$false,
% 0.12/0.34  	inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 0.12/0.34  
% 0.12/0.34  cnf(c5, axiom,
% 0.12/0.34  	le(X8,X8)).
% 0.12/0.34  cnf(a2, assumption,
% 0.12/0.34  	s(X2) = X8).
% 0.12/0.34  cnf(a3, assumption,
% 0.12/0.34  	X0 = X8).
% 0.12/0.34  cnf(c6, plain,
% 0.12/0.34  	~le(s(X3),X2) | ~le(s(X4),X3) | ~le(s(X5),X4) | ~le(s(X6),X5) | ~eq(f(X1),a0) | ~eq(f(X0),a0) | ~eq(f(X2),a0) | ~eq(f(X3),a0) | ~eq(f(X4),a0) | ~eq(f(X5),a0) | ~eq(f(X6),a0),
% 0.12/0.34  	inference(strict_predicate_extension, [assumptions([a2, a3])], [c3, c5])).
% 0.12/0.34  cnf(c7, plain,
% 0.12/0.34  	$false,
% 0.12/0.34  	inference(strict_predicate_extension, [assumptions([a2, a3])], [c3, c5])).
% 0.12/0.34  
% 0.12/0.34  cnf(c8, axiom,
% 0.12/0.34  	le(X9,X9)).
% 0.12/0.34  cnf(a4, assumption,
% 0.12/0.34  	s(X3) = X9).
% 0.12/0.34  cnf(a5, assumption,
% 0.12/0.34  	X2 = X9).
% 0.12/0.34  cnf(c9, plain,
% 0.12/0.34  	~le(s(X4),X3) | ~le(s(X5),X4) | ~le(s(X6),X5) | ~eq(f(X1),a0) | ~eq(f(X0),a0) | ~eq(f(X2),a0) | ~eq(f(X3),a0) | ~eq(f(X4),a0) | ~eq(f(X5),a0) | ~eq(f(X6),a0),
% 0.12/0.34  	inference(strict_predicate_extension, [assumptions([a4, a5])], [c6, c8])).
% 0.12/0.34  cnf(c10, plain,
% 0.12/0.34  	$false,
% 0.12/0.34  	inference(strict_predicate_extension, [assumptions([a4, a5])], [c6, c8])).
% 0.12/0.34  
% 0.12/0.34  cnf(c11, axiom,
% 0.12/0.34  	le(X10,X10)).
% 0.12/0.34  cnf(a6, assumption,
% 0.12/0.34  	s(X4) = X10).
% 0.12/0.34  cnf(a7, assumption,
% 0.12/0.34  	X3 = X10).
% 0.12/0.34  cnf(c12, plain,
% 0.12/0.34  	~le(s(X5),X4) | ~le(s(X6),X5) | ~eq(f(X1),a0) | ~eq(f(X0),a0) | ~eq(f(X2),a0) | ~eq(f(X3),a0) | ~eq(f(X4),a0) | ~eq(f(X5),a0) | ~eq(f(X6),a0),
% 0.12/0.34  	inference(strict_predicate_extension, [assumptions([a6, a7])], [c9, c11])).
% 0.12/0.34  cnf(c13, plain,
% 0.12/0.34  	$false,
% 0.12/0.34  	inference(strict_predicate_extension, [assumptions([a6, a7])], [c9, c11])).
% 0.12/0.34  
% 0.12/0.34  cnf(c14, axiom,
% 0.12/0.34  	le(X11,X11)).
% 0.12/0.34  cnf(a8, assumption,
% 0.12/0.34  	s(X5) = X11).
% 0.12/0.34  cnf(a9, assumption,
% 0.12/0.34  	X4 = X11).
% 0.12/0.34  cnf(c15, plain,
% 0.12/0.34  	~le(s(X6),X5) | ~eq(f(X1),a0) | ~eq(f(X0),a0) | ~eq(f(X2),a0) | ~eq(f(X3),a0) | ~eq(f(X4),a0) | ~eq(f(X5),a0) | ~eq(f(X6),a0),
% 0.12/0.34  	inference(strict_predicate_extension, [assumptions([a8, a9])], [c12, c14])).
% 0.12/0.34  cnf(c16, plain,
% 0.12/0.34  	$false,
% 0.12/0.34  	inference(strict_predicate_extension, [assumptions([a8, a9])], [c12, c14])).
% 0.12/0.34  
% 0.12/0.34  cnf(c17, axiom,
% 0.12/0.34  	le(X12,X12)).
% 0.12/0.34  cnf(a10, assumption,
% 0.12/0.34  	s(X6) = X12).
% 0.12/0.34  cnf(a11, assumption,
% 0.12/0.34  	X5 = X12).
% 0.12/0.34  cnf(c18, plain,
% 0.12/0.34  	~eq(f(X1),a0) | ~eq(f(X0),a0) | ~eq(f(X2),a0) | ~eq(f(X3),a0) | ~eq(f(X4),a0) | ~eq(f(X5),a0) | ~eq(f(X6),a0),
% 0.12/0.34  	inference(strict_predicate_extension, [assumptions([a10, a11])], [c15, c17])).
% 0.12/0.34  cnf(c19, plain,
% 0.12/0.34  	$false,
% 0.12/0.34  	inference(strict_predicate_extension, [assumptions([a10, a11])], [c15, c17])).
% 0.12/0.34  
% 0.12/0.34  cnf(c20, axiom,
% 0.12/0.34  	eq(f(X13),a0)).
% 0.12/0.34  cnf(a12, assumption,
% 0.12/0.34  	f(X1) = f(X13)).
% 0.12/0.34  cnf(a13, assumption,
% 0.12/0.34  	a0 = a0).
% 0.12/0.34  cnf(c21, plain,
% 0.12/0.34  	~eq(f(X0),a0) | ~eq(f(X2),a0) | ~eq(f(X3),a0) | ~eq(f(X4),a0) | ~eq(f(X5),a0) | ~eq(f(X6),a0),
% 0.12/0.34  	inference(strict_predicate_extension, [assumptions([a12, a13])], [c18, c20])).
% 0.12/0.34  cnf(c22, plain,
% 0.12/0.34  	$false,
% 0.12/0.34  	inference(strict_predicate_extension, [assumptions([a12, a13])], [c18, c20])).
% 0.12/0.34  
% 0.12/0.34  cnf(c23, axiom,
% 0.12/0.34  	eq(f(X14),a0)).
% 0.12/0.34  cnf(a14, assumption,
% 0.12/0.34  	f(X0) = f(X14)).
% 0.12/0.34  cnf(a15, assumption,
% 0.12/0.34  	a0 = a0).
% 0.12/0.34  cnf(c24, plain,
% 0.12/0.34  	~eq(f(X2),a0) | ~eq(f(X3),a0) | ~eq(f(X4),a0) | ~eq(f(X5),a0) | ~eq(f(X6),a0),
% 0.12/0.34  	inference(strict_predicate_extension, [assumptions([a14, a15])], [c21, c23])).
% 0.12/0.34  cnf(c25, plain,
% 0.12/0.34  	$false,
% 0.12/0.34  	inference(strict_predicate_extension, [assumptions([a14, a15])], [c21, c23])).
% 0.12/0.34  
% 0.12/0.34  cnf(c26, axiom,
% 0.12/0.34  	eq(f(X15),a0)).
% 0.12/0.34  cnf(a16, assumption,
% 0.12/0.34  	f(X2) = f(X15)).
% 0.12/0.34  cnf(a17, assumption,
% 0.12/0.34  	a0 = a0).
% 0.12/0.34  cnf(c27, plain,
% 0.12/0.34  	~eq(f(X3),a0) | ~eq(f(X4),a0) | ~eq(f(X5),a0) | ~eq(f(X6),a0),
% 0.12/0.34  	inference(strict_predicate_extension, [assumptions([a16, a17])], [c24, c26])).
% 0.12/0.34  cnf(c28, plain,
% 0.12/0.34  	$false,
% 0.12/0.34  	inference(strict_predicate_extension, [assumptions([a16, a17])], [c24, c26])).
% 0.12/0.34  
% 0.12/0.34  cnf(c29, axiom,
% 0.12/0.34  	eq(f(X16),a0)).
% 0.12/0.34  cnf(a18, assumption,
% 0.12/0.34  	f(X3) = f(X16)).
% 0.12/0.34  cnf(a19, assumption,
% 0.12/0.34  	a0 = a0).
% 0.12/0.34  cnf(c30, plain,
% 0.12/0.34  	~eq(f(X4),a0) | ~eq(f(X5),a0) | ~eq(f(X6),a0),
% 0.12/0.34  	inference(strict_predicate_extension, [assumptions([a18, a19])], [c27, c29])).
% 0.12/0.34  cnf(c31, plain,
% 0.12/0.34  	$false,
% 0.12/0.34  	inference(strict_predicate_extension, [assumptions([a18, a19])], [c27, c29])).
% 0.12/0.34  
% 0.12/0.34  cnf(c32, axiom,
% 0.12/0.34  	eq(f(X17),a0)).
% 0.12/0.34  cnf(a20, assumption,
% 0.12/0.34  	f(X4) = f(X17)).
% 0.12/0.34  cnf(a21, assumption,
% 0.12/0.34  	a0 = a0).
% 0.12/0.34  cnf(c33, plain,
% 0.12/0.34  	~eq(f(X5),a0) | ~eq(f(X6),a0),
% 0.12/0.34  	inference(strict_predicate_extension, [assumptions([a20, a21])], [c30, c32])).
% 0.12/0.34  cnf(c34, plain,
% 0.12/0.34  	$false,
% 0.12/0.34  	inference(strict_predicate_extension, [assumptions([a20, a21])], [c30, c32])).
% 0.12/0.34  
% 0.12/0.34  cnf(c35, axiom,
% 0.12/0.34  	eq(f(X18),a0)).
% 0.12/0.34  cnf(a22, assumption,
% 0.12/0.34  	f(X5) = f(X18)).
% 0.12/0.34  cnf(a23, assumption,
% 0.12/0.34  	a0 = a0).
% 0.12/0.34  cnf(c36, plain,
% 0.12/0.34  	~eq(f(X6),a0),
% 0.12/0.34  	inference(strict_predicate_extension, [assumptions([a22, a23])], [c33, c35])).
% 0.12/0.34  cnf(c37, plain,
% 0.12/0.34  	$false,
% 0.12/0.34  	inference(strict_predicate_extension, [assumptions([a22, a23])], [c33, c35])).
% 0.12/0.34  
% 0.12/0.34  cnf(c38, axiom,
% 0.12/0.34  	eq(f(X19),a0)).
% 0.12/0.34  cnf(a24, assumption,
% 0.12/0.34  	f(X6) = f(X19)).
% 0.12/0.34  cnf(a25, assumption,
% 0.12/0.34  	a0 = a0).
% 0.12/0.34  cnf(c39, plain,
% 0.12/0.34  	$false,
% 0.12/0.34  	inference(strict_predicate_extension, [assumptions([a24, a25])], [c36, c38])).
% 0.12/0.34  cnf(c40, plain,
% 0.12/0.34  	$false,
% 0.12/0.34  	inference(strict_predicate_extension, [assumptions([a24, a25])], [c36, c38])).
% 0.12/0.34  
% 0.12/0.34  cnf(c41, plain,
% 0.12/0.34  	$false,
% 0.12/0.34  	inference(constraint_solving, [
% 0.12/0.34  		bind(X0, s(X2)),
% 0.12/0.34  		bind(X1, s(X0)),
% 0.12/0.34  		bind(X2, s(X3)),
% 0.12/0.34  		bind(X3, s(X4)),
% 0.12/0.34  		bind(X4, s(X5)),
% 0.12/0.34  		bind(X5, s(X6)),
% 0.12/0.34  		bind(X6, X19),
% 0.12/0.34  		bind(X7, s(X0)),
% 0.12/0.34  		bind(X8, s(X2)),
% 0.12/0.34  		bind(X9, s(X3)),
% 0.12/0.34  		bind(X10, s(X4)),
% 0.12/0.34  		bind(X11, s(X5)),
% 0.12/0.34  		bind(X12, s(X6)),
% 0.12/0.34  		bind(X13, s(X0)),
% 0.12/0.34  		bind(X14, s(X2)),
% 0.12/0.34  		bind(X15, s(X3)),
% 0.12/0.34  		bind(X16, s(X4)),
% 0.12/0.34  		bind(X17, s(X5)),
% 0.12/0.34  		bind(X18, s(X6)),
% 0.12/0.34  		bind(X19, X19)
% 0.12/0.34  	],
% 0.12/0.34  	[a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20, a21, a22, a23, a24, a25])).
% 0.12/0.34  
% 0.12/0.34  % SZS output end IncompleteProof
%------------------------------------------------------------------------------