TSTP Solution File: HEN005-3 by lazyCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : lazyCoP---0.1
% Problem  : HEN005-3 : 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 : n025.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 12:56:39 EDT 2022

% Result   : Unsatisfiable 105.91s 13.82s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : HEN005-3 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.13  % Command  : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.13/0.34  % Computer : n025.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Fri Jul  1 14:00:24 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 105.91/13.82  % SZS status Unsatisfiable
% 105.91/13.82  % SZS output begin IncompleteProof
% 105.91/13.82  cnf(c0, axiom,
% 105.91/13.82  	~less_equal(a,c)).
% 105.91/13.82  cnf(c1, plain,
% 105.91/13.82  	~less_equal(a,c),
% 105.91/13.82  	inference(start, [], [c0])).
% 105.91/13.82  
% 105.91/13.82  cnf(c2, axiom,
% 105.91/13.82  	less_equal(X0,X1) | divide(X0,X1) != zero).
% 105.91/13.82  cnf(a0, assumption,
% 105.91/13.82  	a = X0).
% 105.91/13.82  cnf(a1, assumption,
% 105.91/13.82  	c = X1).
% 105.91/13.82  cnf(c3, plain,
% 105.91/13.82  	$false,
% 105.91/13.82  	inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 105.91/13.82  cnf(c4, plain,
% 105.91/13.82  	divide(X0,X1) != zero,
% 105.91/13.82  	inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 105.91/13.82  
% 105.91/13.82  cnf(c5, axiom,
% 105.91/13.82  	X2 = X3 | ~less_equal(X3,X2) | ~less_equal(X2,X3)).
% 105.91/13.82  cnf(a2, assumption,
% 105.91/13.82  	divide(X0,X1) = X3).
% 105.91/13.82  cnf(c6, plain,
% 105.91/13.82  	$false,
% 105.91/13.82  	inference(variable_extension, [assumptions([a2])], [c4, c5])).
% 105.91/13.82  cnf(c7, plain,
% 105.91/13.82  	~less_equal(X3,X2) | ~less_equal(X2,X3),
% 105.91/13.82  	inference(variable_extension, [assumptions([a2])], [c4, c5])).
% 105.91/13.82  cnf(c8, plain,
% 105.91/13.82  	X2 != X4 | X4 != zero,
% 105.91/13.82  	inference(variable_extension, [assumptions([a2])], [c4, c5])).
% 105.91/13.82  
% 105.91/13.82  cnf(a3, assumption,
% 105.91/13.82  	X2 = X4).
% 105.91/13.82  cnf(c9, plain,
% 105.91/13.82  	X4 != zero,
% 105.91/13.82  	inference(reflexivity, [assumptions([a3])], [c8])).
% 105.91/13.82  
% 105.91/13.82  cnf(a4, assumption,
% 105.91/13.82  	X4 = zero).
% 105.91/13.82  cnf(c10, plain,
% 105.91/13.82  	$false,
% 105.91/13.82  	inference(reflexivity, [assumptions([a4])], [c9])).
% 105.91/13.82  
% 105.91/13.82  cnf(c11, axiom,
% 105.91/13.82  	less_equal(X5,X6) | divide(X5,X6) != zero).
% 105.91/13.82  cnf(a5, assumption,
% 105.91/13.82  	X3 = X5).
% 105.91/13.82  cnf(a6, assumption,
% 105.91/13.82  	X2 = X6).
% 105.91/13.82  cnf(c12, plain,
% 105.91/13.82  	~less_equal(X2,X3),
% 105.91/13.82  	inference(strict_predicate_extension, [assumptions([a5, a6])], [c7, c11])).
% 105.91/13.82  cnf(c13, plain,
% 105.91/13.82  	divide(X5,X6) != zero,
% 105.91/13.82  	inference(strict_predicate_extension, [assumptions([a5, a6])], [c7, c11])).
% 105.91/13.82  
% 105.91/13.82  cnf(c14, axiom,
% 105.91/13.82  	X7 = X8 | ~less_equal(X8,X7) | ~less_equal(X7,X8)).
% 105.91/13.82  cnf(a7, assumption,
% 105.91/13.82  	divide(X5,X6) = X8).
% 105.91/13.82  cnf(c15, plain,
% 105.91/13.82  	$false,
% 105.91/13.82  	inference(variable_extension, [assumptions([a7])], [c13, c14])).
% 105.91/13.82  cnf(c16, plain,
% 105.91/13.82  	~less_equal(X8,X7) | ~less_equal(X7,X8),
% 105.91/13.82  	inference(variable_extension, [assumptions([a7])], [c13, c14])).
% 105.91/13.82  cnf(c17, plain,
% 105.91/13.82  	X7 != X9 | X9 != zero,
% 105.91/13.82  	inference(variable_extension, [assumptions([a7])], [c13, c14])).
% 105.91/13.82  
% 105.91/13.82  cnf(a8, assumption,
% 105.91/13.82  	X7 = X9).
% 105.91/13.82  cnf(c18, plain,
% 105.91/13.82  	X9 != zero,
% 105.91/13.82  	inference(reflexivity, [assumptions([a8])], [c17])).
% 105.91/13.82  
% 105.91/13.82  cnf(a9, assumption,
% 105.91/13.82  	X9 = zero).
% 105.91/13.82  cnf(c19, plain,
% 105.91/13.82  	$false,
% 105.91/13.82  	inference(reflexivity, [assumptions([a9])], [c18])).
% 105.91/13.82  
% 105.91/13.82  cnf(c20, axiom,
% 105.91/13.82  	less_equal(divide(divide(X10,X11),divide(X12,X11)),divide(divide(X10,X12),X11))).
% 105.91/13.82  cnf(a10, assumption,
% 105.91/13.82  	X13 = X8).
% 105.91/13.82  cnf(a11, assumption,
% 105.91/13.82  	X14 = X7).
% 105.91/13.82  cnf(c21, plain,
% 105.91/13.82  	~less_equal(X7,X8),
% 105.91/13.82  	inference(lazy_predicate_extension, [assumptions([a10, a11])], [c16, c20])).
% 105.91/13.82  cnf(c22, plain,
% 105.91/13.82  	$false,
% 105.91/13.82  	inference(lazy_predicate_extension, [assumptions([a10, a11])], [c16, c20])).
% 105.91/13.82  cnf(c23, plain,
% 105.91/13.82  	divide(divide(X10,X11),divide(X12,X11)) != X13 | divide(divide(X10,X12),X11) != X14,
% 105.91/13.82  	inference(lazy_predicate_extension, [assumptions([a10, a11])], [c16, c20])).
% 105.91/13.82  
% 105.91/13.82  cnf(c24, axiom,
% 105.91/13.82  	divide(X15,X16) = zero | ~less_equal(X15,X16)).
% 105.91/13.82  cnf(a12, assumption,
% 105.91/13.82  	divide(X12,X11) = divide(X15,X16)).
% 105.91/13.82  cnf(c25, plain,
% 105.91/13.82  	divide(divide(X10,X12),X11) != X14,
% 105.91/13.82  	inference(strict_function_extension, [assumptions([a12])], [c23, c24])).
% 105.91/13.82  cnf(c26, plain,
% 105.91/13.82  	~less_equal(X15,X16),
% 105.91/13.82  	inference(strict_function_extension, [assumptions([a12])], [c23, c24])).
% 105.91/13.82  cnf(c27, plain,
% 105.91/13.82  	X17 != zero | divide(divide(X10,X11),X17) != X13,
% 105.91/13.82  	inference(strict_function_extension, [assumptions([a12])], [c23, c24])).
% 105.91/13.82  
% 105.91/13.82  cnf(a13, assumption,
% 105.91/13.82  	X17 = zero).
% 105.91/13.82  cnf(c28, plain,
% 105.91/13.82  	divide(divide(X10,X11),X17) != X13,
% 105.91/13.82  	inference(reflexivity, [assumptions([a13])], [c27])).
% 105.91/13.82  
% 105.91/13.82  cnf(a14, assumption,
% 105.91/13.82  	divide(divide(X10,X11),X17) = X13).
% 105.91/13.82  cnf(c29, plain,
% 105.91/13.82  	$false,
% 105.91/13.82  	inference(reflexivity, [assumptions([a14])], [c28])).
% 105.91/13.82  
% 105.91/13.82  cnf(c30, axiom,
% 105.91/13.82  	less_equal(b,c)).
% 105.91/13.82  cnf(a15, assumption,
% 105.91/13.82  	X15 = b).
% 105.91/13.82  cnf(a16, assumption,
% 105.91/13.82  	X16 = c).
% 105.91/13.82  cnf(c31, plain,
% 105.91/13.82  	$false,
% 105.91/13.82  	inference(strict_predicate_extension, [assumptions([a15, a16])], [c26, c30])).
% 105.91/13.82  cnf(c32, plain,
% 105.91/13.82  	$false,
% 105.91/13.82  	inference(strict_predicate_extension, [assumptions([a15, a16])], [c26, c30])).
% 105.91/13.82  
% 105.91/13.82  cnf(c33, axiom,
% 105.91/13.82  	divide(X18,X19) = zero | ~less_equal(X18,X19)).
% 105.91/13.82  cnf(a17, assumption,
% 105.91/13.82  	divide(X10,X12) = divide(X18,X19)).
% 105.91/13.82  cnf(c34, plain,
% 105.91/13.82  	$false,
% 105.91/13.82  	inference(strict_function_extension, [assumptions([a17])], [c25, c33])).
% 105.91/13.82  cnf(c35, plain,
% 105.91/13.82  	~less_equal(X18,X19),
% 105.91/13.82  	inference(strict_function_extension, [assumptions([a17])], [c25, c33])).
% 105.91/13.82  cnf(c36, plain,
% 105.91/13.82  	X20 != zero | divide(X20,X11) != X14,
% 105.91/13.82  	inference(strict_function_extension, [assumptions([a17])], [c25, c33])).
% 105.91/13.82  
% 105.91/13.82  cnf(a18, assumption,
% 105.91/13.82  	X20 = zero).
% 105.91/13.82  cnf(c37, plain,
% 105.91/13.82  	divide(X20,X11) != X14,
% 105.91/13.82  	inference(reflexivity, [assumptions([a18])], [c36])).
% 105.91/13.82  
% 105.91/13.82  cnf(c38, axiom,
% 105.91/13.82  	divide(X21,X22) = zero | ~less_equal(X21,X22)).
% 105.91/13.82  cnf(a19, assumption,
% 105.91/13.82  	divide(X20,X11) = divide(X21,X22)).
% 105.91/13.82  cnf(c39, plain,
% 105.91/13.82  	$false,
% 105.91/13.82  	inference(strict_function_extension, [assumptions([a19])], [c37, c38])).
% 105.91/13.82  cnf(c40, plain,
% 105.91/13.82  	~less_equal(X21,X22),
% 105.91/13.82  	inference(strict_function_extension, [assumptions([a19])], [c37, c38])).
% 105.91/13.82  cnf(c41, plain,
% 105.91/13.82  	X23 != zero | X23 != X14,
% 105.91/13.82  	inference(strict_function_extension, [assumptions([a19])], [c37, c38])).
% 105.91/13.82  
% 105.91/13.82  cnf(a20, assumption,
% 105.91/13.82  	X23 = zero).
% 105.91/13.82  cnf(c42, plain,
% 105.91/13.82  	X23 != X14,
% 105.91/13.82  	inference(reflexivity, [assumptions([a20])], [c41])).
% 105.91/13.82  
% 105.91/13.82  cnf(a21, assumption,
% 105.91/13.82  	X23 = X14).
% 105.91/13.82  cnf(c43, plain,
% 105.91/13.82  	$false,
% 105.91/13.82  	inference(reflexivity, [assumptions([a21])], [c42])).
% 105.91/13.82  
% 105.91/13.82  cnf(c44, axiom,
% 105.91/13.82  	less_equal(zero,X24)).
% 105.91/13.82  cnf(a22, assumption,
% 105.91/13.82  	X21 = zero).
% 105.91/13.82  cnf(a23, assumption,
% 105.91/13.82  	X22 = X24).
% 105.91/13.82  cnf(c45, plain,
% 105.91/13.82  	$false,
% 105.91/13.82  	inference(strict_predicate_extension, [assumptions([a22, a23])], [c40, c44])).
% 105.91/13.82  cnf(c46, plain,
% 105.91/13.82  	$false,
% 105.91/13.82  	inference(strict_predicate_extension, [assumptions([a22, a23])], [c40, c44])).
% 105.91/13.82  
% 105.91/13.82  cnf(c47, axiom,
% 105.91/13.82  	less_equal(a,b)).
% 105.91/13.82  cnf(a24, assumption,
% 105.91/13.82  	X18 = a).
% 105.91/13.82  cnf(a25, assumption,
% 105.91/13.82  	X19 = b).
% 105.91/13.82  cnf(c48, plain,
% 105.91/13.82  	$false,
% 105.91/13.82  	inference(strict_predicate_extension, [assumptions([a24, a25])], [c35, c47])).
% 105.91/13.82  cnf(c49, plain,
% 105.91/13.82  	$false,
% 105.91/13.82  	inference(strict_predicate_extension, [assumptions([a24, a25])], [c35, c47])).
% 105.91/13.82  
% 105.91/13.82  cnf(c50, axiom,
% 105.91/13.82  	less_equal(zero,X25)).
% 105.91/13.82  cnf(a26, assumption,
% 105.91/13.82  	X7 = zero).
% 105.91/13.82  cnf(a27, assumption,
% 105.91/13.82  	X8 = X25).
% 105.91/13.82  cnf(c51, plain,
% 105.91/13.82  	$false,
% 105.91/13.82  	inference(strict_predicate_extension, [assumptions([a26, a27])], [c21, c50])).
% 105.91/13.82  cnf(c52, plain,
% 105.91/13.82  	$false,
% 105.91/13.82  	inference(strict_predicate_extension, [assumptions([a26, a27])], [c21, c50])).
% 105.91/13.82  
% 105.91/13.82  cnf(c53, axiom,
% 105.91/13.82  	less_equal(zero,X26)).
% 105.91/13.82  cnf(a28, assumption,
% 105.91/13.82  	X2 = zero).
% 105.91/13.82  cnf(a29, assumption,
% 105.91/13.82  	X3 = X26).
% 105.91/13.82  cnf(c54, plain,
% 105.91/13.82  	$false,
% 105.91/13.82  	inference(strict_predicate_extension, [assumptions([a28, a29])], [c12, c53])).
% 105.91/13.82  cnf(c55, plain,
% 105.91/13.82  	$false,
% 105.91/13.82  	inference(strict_predicate_extension, [assumptions([a28, a29])], [c12, c53])).
% 105.91/13.82  
% 105.91/13.82  cnf(c56, plain,
% 105.91/13.82  	$false,
% 105.91/13.82  	inference(constraint_solving, [
% 105.91/13.82  		bind(X0, a),
% 105.91/13.82  		bind(X1, c),
% 105.91/13.82  		bind(X2, zero),
% 105.91/13.82  		bind(X3, divide(X0,X1)),
% 105.91/13.82  		bind(X4, zero),
% 105.91/13.82  		bind(X5, divide(X0,X1)),
% 105.91/13.82  		bind(X6, zero),
% 105.91/13.82  		bind(X7, zero),
% 105.91/13.82  		bind(X8, divide(X5,X6)),
% 105.91/13.82  		bind(X9, zero),
% 105.91/13.82  		bind(X10, a),
% 105.91/13.82  		bind(X11, c),
% 105.91/13.82  		bind(X12, b),
% 105.91/13.82  		bind(X13, divide(X5,X6)),
% 105.91/13.82  		bind(X14, zero),
% 105.91/13.82  		bind(X15, b),
% 105.91/13.82  		bind(X16, c),
% 105.91/13.82  		bind(X17, zero),
% 105.91/13.82  		bind(X18, a),
% 105.91/13.82  		bind(X19, b),
% 105.91/13.82  		bind(X20, zero),
% 105.91/13.82  		bind(X21, zero),
% 105.91/13.82  		bind(X22, c),
% 105.91/13.82  		bind(X23, zero),
% 105.91/13.82  		bind(X24, c),
% 105.91/13.82  		bind(X25, divide(X5,X6)),
% 105.91/13.82  		bind(X26, divide(X0,X1))
% 105.91/13.82  	],
% 105.91/13.82  	[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, a26, a27, a28, a29])).
% 105.91/13.82  
% 105.91/13.82  % SZS output end IncompleteProof
%------------------------------------------------------------------------------