TSTP Solution File: HEN008-3 by lazyCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : lazyCoP---0.1
% Problem  : HEN008-3 : 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 : n008.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 : Sat Jul 16 12:56:44 EDT 2022

% Result   : Unsatisfiable 1.85s 0.57s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : HEN008-3 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.12  % Command  : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.12/0.34  % Computer : n008.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 : Fri Jul  1 13:10:38 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 1.85/0.57  % SZS status Unsatisfiable
% 1.85/0.57  % SZS output begin IncompleteProof
% 1.85/0.57  cnf(c0, axiom,
% 1.85/0.57  	~less_equal(divide(a,c),divide(b,c))).
% 1.85/0.57  cnf(c1, plain,
% 1.85/0.57  	~less_equal(divide(a,c),divide(b,c)),
% 1.85/0.57  	inference(start, [], [c0])).
% 1.85/0.57  
% 1.85/0.57  cnf(c2, axiom,
% 1.85/0.57  	less_equal(X0,X1) | divide(X0,X1) != zero).
% 1.85/0.57  cnf(a0, assumption,
% 1.85/0.57  	divide(a,c) = X0).
% 1.85/0.57  cnf(a1, assumption,
% 1.85/0.57  	divide(b,c) = X1).
% 1.85/0.57  cnf(c3, plain,
% 1.85/0.57  	$false,
% 1.85/0.57  	inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 1.85/0.57  cnf(c4, plain,
% 1.85/0.57  	divide(X0,X1) != zero,
% 1.85/0.57  	inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 1.85/0.57  
% 1.85/0.57  cnf(c5, axiom,
% 1.85/0.57  	X2 = X3 | ~less_equal(X3,X2) | ~less_equal(X2,X3)).
% 1.85/0.57  cnf(a2, assumption,
% 1.85/0.57  	divide(X0,X1) = X2).
% 1.85/0.57  cnf(c6, plain,
% 1.85/0.57  	$false,
% 1.85/0.57  	inference(variable_extension, [assumptions([a2])], [c4, c5])).
% 1.85/0.57  cnf(c7, plain,
% 1.85/0.57  	~less_equal(X3,X2) | ~less_equal(X2,X3),
% 1.85/0.57  	inference(variable_extension, [assumptions([a2])], [c4, c5])).
% 1.85/0.57  cnf(c8, plain,
% 1.85/0.57  	X3 != X4 | X4 != zero,
% 1.85/0.57  	inference(variable_extension, [assumptions([a2])], [c4, c5])).
% 1.85/0.57  
% 1.85/0.57  cnf(a3, assumption,
% 1.85/0.57  	X3 = X4).
% 1.85/0.57  cnf(c9, plain,
% 1.85/0.57  	X4 != zero,
% 1.85/0.57  	inference(reflexivity, [assumptions([a3])], [c8])).
% 1.85/0.57  
% 1.85/0.57  cnf(a4, assumption,
% 1.85/0.57  	X4 = zero).
% 1.85/0.57  cnf(c10, plain,
% 1.85/0.57  	$false,
% 1.85/0.57  	inference(reflexivity, [assumptions([a4])], [c9])).
% 1.85/0.57  
% 1.85/0.57  cnf(c11, axiom,
% 1.85/0.57  	less_equal(zero,X5)).
% 1.85/0.57  cnf(a5, assumption,
% 1.85/0.57  	X3 = zero).
% 1.85/0.57  cnf(a6, assumption,
% 1.85/0.57  	X2 = X5).
% 1.85/0.57  cnf(c12, plain,
% 1.85/0.57  	~less_equal(X2,X3),
% 1.85/0.57  	inference(strict_predicate_extension, [assumptions([a5, a6])], [c7, c11])).
% 1.85/0.57  cnf(c13, plain,
% 1.85/0.57  	$false,
% 1.85/0.57  	inference(strict_predicate_extension, [assumptions([a5, a6])], [c7, c11])).
% 1.85/0.57  
% 1.85/0.57  cnf(c14, axiom,
% 1.85/0.57  	less_equal(divide(divide(X6,X7),divide(X8,X7)),divide(divide(X6,X8),X7))).
% 1.85/0.57  cnf(a7, assumption,
% 1.85/0.57  	X9 = X2).
% 1.85/0.57  cnf(a8, assumption,
% 1.85/0.57  	X10 = X3).
% 1.85/0.57  cnf(c15, plain,
% 1.85/0.57  	$false,
% 1.85/0.57  	inference(lazy_predicate_extension, [assumptions([a7, a8])], [c12, c14])).
% 1.85/0.57  cnf(c16, plain,
% 1.85/0.57  	$false,
% 1.85/0.57  	inference(lazy_predicate_extension, [assumptions([a7, a8])], [c12, c14])).
% 1.85/0.57  cnf(c17, plain,
% 1.85/0.57  	divide(divide(X6,X7),divide(X8,X7)) != X9 | divide(divide(X6,X8),X7) != X10,
% 1.85/0.57  	inference(lazy_predicate_extension, [assumptions([a7, a8])], [c12, c14])).
% 1.85/0.57  
% 1.85/0.57  cnf(a9, assumption,
% 1.85/0.57  	divide(divide(X6,X7),divide(X8,X7)) = X9).
% 1.85/0.57  cnf(c18, plain,
% 1.85/0.57  	divide(divide(X6,X8),X7) != X10,
% 1.85/0.57  	inference(reflexivity, [assumptions([a9])], [c17])).
% 1.85/0.57  
% 1.85/0.57  cnf(c19, axiom,
% 1.85/0.57  	divide(X11,X12) = zero | ~less_equal(X11,X12)).
% 1.85/0.57  cnf(a10, assumption,
% 1.85/0.57  	divide(X6,X8) = divide(X11,X12)).
% 1.85/0.57  cnf(c20, plain,
% 1.85/0.57  	$false,
% 1.85/0.57  	inference(strict_function_extension, [assumptions([a10])], [c18, c19])).
% 1.85/0.57  cnf(c21, plain,
% 1.85/0.57  	~less_equal(X11,X12),
% 1.85/0.57  	inference(strict_function_extension, [assumptions([a10])], [c18, c19])).
% 1.85/0.57  cnf(c22, plain,
% 1.85/0.57  	X13 != zero | divide(X13,X7) != X10,
% 1.85/0.57  	inference(strict_function_extension, [assumptions([a10])], [c18, c19])).
% 1.85/0.57  
% 1.85/0.57  cnf(a11, assumption,
% 1.85/0.57  	X13 = zero).
% 1.85/0.57  cnf(c23, plain,
% 1.85/0.57  	divide(X13,X7) != X10,
% 1.85/0.57  	inference(reflexivity, [assumptions([a11])], [c22])).
% 1.85/0.57  
% 1.85/0.57  cnf(c24, axiom,
% 1.85/0.57  	divide(X14,X15) = zero | ~less_equal(X14,X15)).
% 1.85/0.57  cnf(a12, assumption,
% 1.85/0.57  	divide(X13,X7) = divide(X14,X15)).
% 1.85/0.57  cnf(c25, plain,
% 1.85/0.57  	$false,
% 1.85/0.57  	inference(strict_function_extension, [assumptions([a12])], [c23, c24])).
% 1.85/0.57  cnf(c26, plain,
% 1.85/0.57  	~less_equal(X14,X15),
% 1.85/0.57  	inference(strict_function_extension, [assumptions([a12])], [c23, c24])).
% 1.85/0.57  cnf(c27, plain,
% 1.85/0.57  	X16 != zero | X16 != X10,
% 1.85/0.57  	inference(strict_function_extension, [assumptions([a12])], [c23, c24])).
% 1.85/0.57  
% 1.85/0.57  cnf(a13, assumption,
% 1.85/0.57  	X16 = zero).
% 1.85/0.57  cnf(c28, plain,
% 1.85/0.57  	X16 != X10,
% 1.85/0.57  	inference(reflexivity, [assumptions([a13])], [c27])).
% 1.85/0.57  
% 1.85/0.57  cnf(a14, assumption,
% 1.85/0.57  	X16 = X10).
% 1.85/0.57  cnf(c29, plain,
% 1.85/0.57  	$false,
% 1.85/0.57  	inference(reflexivity, [assumptions([a14])], [c28])).
% 1.85/0.57  
% 1.85/0.57  cnf(c30, axiom,
% 1.85/0.57  	less_equal(zero,X17)).
% 1.85/0.57  cnf(a15, assumption,
% 1.85/0.57  	X14 = zero).
% 1.85/0.57  cnf(a16, assumption,
% 1.85/0.57  	X15 = X17).
% 1.85/0.57  cnf(c31, plain,
% 1.85/0.57  	$false,
% 1.85/0.57  	inference(strict_predicate_extension, [assumptions([a15, a16])], [c26, c30])).
% 1.85/0.57  cnf(c32, plain,
% 1.85/0.57  	$false,
% 1.85/0.57  	inference(strict_predicate_extension, [assumptions([a15, a16])], [c26, c30])).
% 1.85/0.57  
% 1.85/0.57  cnf(c33, axiom,
% 1.85/0.57  	less_equal(a,b)).
% 1.85/0.57  cnf(a17, assumption,
% 1.85/0.57  	X11 = a).
% 1.85/0.57  cnf(a18, assumption,
% 1.85/0.57  	X12 = b).
% 1.85/0.57  cnf(c34, plain,
% 1.85/0.57  	$false,
% 1.85/0.57  	inference(strict_predicate_extension, [assumptions([a17, a18])], [c21, c33])).
% 1.85/0.57  cnf(c35, plain,
% 1.85/0.57  	$false,
% 1.85/0.57  	inference(strict_predicate_extension, [assumptions([a17, a18])], [c21, c33])).
% 1.85/0.57  
% 1.85/0.57  cnf(c36, plain,
% 1.85/0.57  	$false,
% 1.85/0.57  	inference(constraint_solving, [
% 1.85/0.57  		bind(X0, divide(a,c)),
% 1.85/0.57  		bind(X1, divide(b,c)),
% 1.85/0.57  		bind(X2, divide(X0,X1)),
% 1.85/0.57  		bind(X3, zero),
% 1.85/0.57  		bind(X4, zero),
% 1.85/0.57  		bind(X5, divide(X0,X1)),
% 1.85/0.57  		bind(X6, a),
% 1.85/0.57  		bind(X7, c),
% 1.85/0.57  		bind(X8, b),
% 1.85/0.57  		bind(X9, divide(X0,X1)),
% 1.85/0.57  		bind(X10, zero),
% 1.85/0.57  		bind(X11, a),
% 1.85/0.57  		bind(X12, b),
% 1.85/0.57  		bind(X13, zero),
% 1.85/0.57  		bind(X14, zero),
% 1.85/0.57  		bind(X15, c),
% 1.85/0.57  		bind(X16, zero),
% 1.85/0.57  		bind(X17, c)
% 1.85/0.57  	],
% 1.85/0.57  	[a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18])).
% 1.85/0.57  
% 1.85/0.57  % SZS output end IncompleteProof
%------------------------------------------------------------------------------