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lazyCoP---0.1.THM-Ass.s

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%------------------------------------------------------------------------------
% File     : lazyCoP---0.1
% Problem  : MGT079+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop

% Computer : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep  8 06:13:23 AM UTC 2026

% Result   : Theorem 158.82s 21.38s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : MGT079+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.02  % Command  : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.03/0.29  % Computer : n012.cluster.edu
% 0.03/0.29  % Model    : x86_64 x86_64
% 0.03/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29  % Memory   : 8046.5625MB
% 0.03/0.29  % OS       : Linux 6.8.0-71-generic
% 0.03/0.29  % CPULimit : 300
% 0.03/0.29  % WCLimit  : 300
% 0.03/0.29  % DateTime : Mon Sep  7 14:14:11 UTC 2026
% 0.03/0.29  % CPUTime  : 
% 158.82/21.38  % SZS status Theorem
% 158.82/21.38  % SZS output begin IncompleteProof
% 158.82/21.38  cnf(c0, axiom,
% 158.82/21.38  	sP0(X0,X1,X2) | ~in_lopen(X0,v0,v32) | ~in_lopen(X1,v0,v400) | ~in_lopen(X2,v0,v600)).
% 158.82/21.38  cnf(c1, plain,
% 158.82/21.38  	sP0(X0,X1,X2) | ~in_lopen(X0,v0,v32) | ~in_lopen(X1,v0,v400) | ~in_lopen(X2,v0,v600),
% 158.82/21.38  	inference(start, [], [c0])).
% 158.82/21.38  
% 158.82/21.38  cnf(c2, axiom,
% 158.82/21.38  	in_lopen(X3,v0,v16) | ~sP0(X3,X4,X5)).
% 158.82/21.38  cnf(a0, assumption,
% 158.82/21.38  	X0 = X3).
% 158.82/21.38  cnf(a1, assumption,
% 158.82/21.38  	X1 = X4).
% 158.82/21.38  cnf(a2, assumption,
% 158.82/21.38  	X2 = X5).
% 158.82/21.38  cnf(c3, plain,
% 158.82/21.38  	~in_lopen(X0,v0,v32) | ~in_lopen(X1,v0,v400) | ~in_lopen(X2,v0,v600),
% 158.82/21.38  	inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 158.82/21.38  cnf(c4, plain,
% 158.82/21.38  	in_lopen(X3,v0,v16),
% 158.82/21.38  	inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 158.82/21.38  
% 158.82/21.38  cnf(c5, axiom,
% 158.82/21.38  	leq(X6,X7) | ~in_lopen(X6,X8,X7)).
% 158.82/21.38  cnf(a3, assumption,
% 158.82/21.38  	X3 = X6).
% 158.82/21.38  cnf(a4, assumption,
% 158.82/21.38  	v0 = X8).
% 158.82/21.38  cnf(a5, assumption,
% 158.82/21.38  	v16 = X7).
% 158.82/21.38  cnf(c6, plain,
% 158.82/21.38  	$false,
% 158.82/21.38  	inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])).
% 158.82/21.38  cnf(c7, plain,
% 158.82/21.38  	leq(X6,X7),
% 158.82/21.38  	inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])).
% 158.82/21.38  
% 158.82/21.38  cnf(c8, axiom,
% 158.82/21.38  	less(X9,X10) | ~less(X11,X10) | ~leq(X9,X11)).
% 158.82/21.38  cnf(a6, assumption,
% 158.82/21.38  	X6 = X9).
% 158.82/21.38  cnf(a7, assumption,
% 158.82/21.38  	X7 = X11).
% 158.82/21.38  cnf(c9, plain,
% 158.82/21.38  	$false,
% 158.82/21.38  	inference(strict_predicate_extension, [assumptions([a6, a7])], [c7, c8])).
% 158.82/21.38  cnf(c10, plain,
% 158.82/21.38  	less(X9,X10) | ~less(X11,X10),
% 158.82/21.38  	inference(strict_predicate_extension, [assumptions([a6, a7])], [c7, c8])).
% 158.82/21.38  
% 158.82/21.38  cnf(c11, axiom,
% 158.82/21.38  	~less(X12,X12)).
% 158.82/21.38  cnf(a8, assumption,
% 158.82/21.38  	X9 = X12).
% 158.82/21.38  cnf(a9, assumption,
% 158.82/21.38  	X10 = X12).
% 158.82/21.38  cnf(c12, plain,
% 158.82/21.38  	~less(X11,X10),
% 158.82/21.38  	inference(strict_predicate_extension, [assumptions([a8, a9])], [c10, c11])).
% 158.82/21.38  cnf(c13, plain,
% 158.82/21.38  	$false,
% 158.82/21.38  	inference(strict_predicate_extension, [assumptions([a8, a9])], [c10, c11])).
% 158.82/21.38  
% 158.82/21.38  cnf(c14, axiom,
% 158.82/21.38  	less(v16,v32)).
% 158.82/21.38  cnf(a10, assumption,
% 158.82/21.38  	X11 = v16).
% 158.82/21.38  cnf(a11, assumption,
% 158.82/21.38  	X10 = v32).
% 158.82/21.38  cnf(c15, plain,
% 158.82/21.38  	$false,
% 158.82/21.38  	inference(strict_predicate_extension, [assumptions([a10, a11])], [c12, c14])).
% 158.82/21.38  cnf(c16, plain,
% 158.82/21.38  	$false,
% 158.82/21.38  	inference(strict_predicate_extension, [assumptions([a10, a11])], [c12, c14])).
% 158.82/21.38  
% 158.82/21.38  cnf(c17, axiom,
% 158.82/21.38  	in_lopen(X13,X14,X15) | ~leq(X13,X15) | ~less(X14,X13)).
% 158.82/21.38  cnf(a12, assumption,
% 158.82/21.38  	X0 = X13).
% 158.82/21.38  cnf(a13, assumption,
% 158.82/21.38  	v0 = X14).
% 158.82/21.38  cnf(a14, assumption,
% 158.82/21.38  	v32 = X15).
% 158.82/21.38  cnf(c18, plain,
% 158.82/21.38  	~in_lopen(X1,v0,v400) | ~in_lopen(X2,v0,v600),
% 158.82/21.38  	inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c3, c17])).
% 158.82/21.38  cnf(c19, plain,
% 158.82/21.38  	~leq(X13,X15) | ~less(X14,X13),
% 158.82/21.38  	inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c3, c17])).
% 158.82/21.38  
% 158.82/21.38  cnf(c20, axiom,
% 158.82/21.38  	leq(X16,X16)).
% 158.82/21.38  cnf(a15, assumption,
% 158.82/21.38  	X13 = X16).
% 158.82/21.38  cnf(a16, assumption,
% 158.82/21.38  	X15 = X16).
% 158.82/21.38  cnf(c21, plain,
% 158.82/21.38  	~less(X14,X13),
% 158.82/21.38  	inference(strict_predicate_extension, [assumptions([a15, a16])], [c19, c20])).
% 158.82/21.38  cnf(c22, plain,
% 158.82/21.38  	$false,
% 158.82/21.38  	inference(strict_predicate_extension, [assumptions([a15, a16])], [c19, c20])).
% 158.82/21.38  
% 158.82/21.38  cnf(c23, axiom,
% 158.82/21.38  	less(v0,v32)).
% 158.82/21.38  cnf(a17, assumption,
% 158.82/21.38  	X14 = v0).
% 158.82/21.38  cnf(a18, assumption,
% 158.82/21.38  	X13 = v32).
% 158.82/21.38  cnf(c24, plain,
% 158.82/21.38  	$false,
% 158.82/21.38  	inference(strict_predicate_extension, [assumptions([a17, a18])], [c21, c23])).
% 158.82/21.38  cnf(c25, plain,
% 158.82/21.38  	$false,
% 158.82/21.38  	inference(strict_predicate_extension, [assumptions([a17, a18])], [c21, c23])).
% 158.82/21.38  
% 158.82/21.38  cnf(c26, axiom,
% 158.82/21.38  	in_lopen(X17,X18,X19) | ~leq(X17,X19) | ~less(X18,X17)).
% 158.82/21.38  cnf(a19, assumption,
% 158.82/21.38  	X1 = X17).
% 158.82/21.38  cnf(a20, assumption,
% 158.82/21.38  	v0 = X18).
% 158.82/21.38  cnf(a21, assumption,
% 158.82/21.38  	v400 = X19).
% 158.82/21.38  cnf(c27, plain,
% 158.82/21.38  	~in_lopen(X2,v0,v600),
% 158.82/21.38  	inference(strict_predicate_extension, [assumptions([a19, a20, a21])], [c18, c26])).
% 158.82/21.38  cnf(c28, plain,
% 158.82/21.38  	~leq(X17,X19) | ~less(X18,X17),
% 158.82/21.38  	inference(strict_predicate_extension, [assumptions([a19, a20, a21])], [c18, c26])).
% 158.82/21.38  
% 158.82/21.38  cnf(c29, axiom,
% 158.82/21.38  	leq(X20,X20)).
% 158.82/21.38  cnf(a22, assumption,
% 158.82/21.38  	X17 = X20).
% 158.82/21.38  cnf(a23, assumption,
% 158.82/21.38  	X19 = X20).
% 158.82/21.38  cnf(c30, plain,
% 158.82/21.38  	~less(X18,X17),
% 158.82/21.38  	inference(strict_predicate_extension, [assumptions([a22, a23])], [c28, c29])).
% 158.82/21.38  cnf(c31, plain,
% 158.82/21.38  	$false,
% 158.82/21.38  	inference(strict_predicate_extension, [assumptions([a22, a23])], [c28, c29])).
% 158.82/21.38  
% 158.82/21.38  cnf(c32, axiom,
% 158.82/21.38  	less(v0,v400)).
% 158.82/21.38  cnf(a24, assumption,
% 158.82/21.38  	X18 = v0).
% 158.82/21.38  cnf(a25, assumption,
% 158.82/21.38  	X17 = v400).
% 158.82/21.38  cnf(c33, plain,
% 158.82/21.38  	$false,
% 158.82/21.38  	inference(strict_predicate_extension, [assumptions([a24, a25])], [c30, c32])).
% 158.82/21.38  cnf(c34, plain,
% 158.82/21.38  	$false,
% 158.82/21.38  	inference(strict_predicate_extension, [assumptions([a24, a25])], [c30, c32])).
% 158.82/21.38  
% 158.82/21.38  cnf(c35, axiom,
% 158.82/21.38  	in_lopen(X21,X22,X23) | ~leq(X21,X23) | ~less(X22,X21)).
% 158.82/21.38  cnf(a26, assumption,
% 158.82/21.38  	X2 = X21).
% 158.82/21.38  cnf(a27, assumption,
% 158.82/21.38  	v0 = X22).
% 158.82/21.38  cnf(a28, assumption,
% 158.82/21.38  	v600 = X23).
% 158.82/21.38  cnf(c36, plain,
% 158.82/21.38  	$false,
% 158.82/21.38  	inference(strict_predicate_extension, [assumptions([a26, a27, a28])], [c27, c35])).
% 158.82/21.38  cnf(c37, plain,
% 158.82/21.38  	~leq(X21,X23) | ~less(X22,X21),
% 158.82/21.38  	inference(strict_predicate_extension, [assumptions([a26, a27, a28])], [c27, c35])).
% 158.82/21.38  
% 158.82/21.38  cnf(c38, axiom,
% 158.82/21.38  	leq(X24,X24)).
% 158.82/21.38  cnf(a29, assumption,
% 158.82/21.38  	X21 = X24).
% 158.82/21.38  cnf(a30, assumption,
% 158.82/21.38  	X23 = X24).
% 158.82/21.38  cnf(c39, plain,
% 158.82/21.38  	~less(X22,X21),
% 158.82/21.38  	inference(strict_predicate_extension, [assumptions([a29, a30])], [c37, c38])).
% 158.82/21.38  cnf(c40, plain,
% 158.82/21.38  	$false,
% 158.82/21.38  	inference(strict_predicate_extension, [assumptions([a29, a30])], [c37, c38])).
% 158.82/21.38  
% 158.82/21.38  cnf(c41, axiom,
% 158.82/21.38  	less(v0,v600)).
% 158.82/21.38  cnf(a31, assumption,
% 158.82/21.38  	X22 = v0).
% 158.82/21.38  cnf(a32, assumption,
% 158.82/21.38  	X21 = v600).
% 158.82/21.38  cnf(c42, plain,
% 158.82/21.38  	$false,
% 158.82/21.38  	inference(strict_predicate_extension, [assumptions([a31, a32])], [c39, c41])).
% 158.82/21.38  cnf(c43, plain,
% 158.82/21.38  	$false,
% 158.82/21.38  	inference(strict_predicate_extension, [assumptions([a31, a32])], [c39, c41])).
% 158.82/21.38  
% 158.82/21.38  cnf(c44, plain,
% 158.82/21.38  	$false,
% 158.82/21.38  	inference(constraint_solving, [
% 158.82/21.38  		bind(X0, v32),
% 158.82/21.38  		bind(X1, v400),
% 158.82/21.38  		bind(X2, v600),
% 158.82/21.38  		bind(X3, v32),
% 158.82/21.38  		bind(X4, v400),
% 158.82/21.38  		bind(X5, v600),
% 158.82/21.38  		bind(X6, v32),
% 158.82/21.38  		bind(X7, v16),
% 158.82/21.38  		bind(X8, v0),
% 158.82/21.38  		bind(X9, v32),
% 158.82/21.38  		bind(X10, v32),
% 158.82/21.38  		bind(X11, v16),
% 158.82/21.38  		bind(X12, v32),
% 158.82/21.38  		bind(X13, v32),
% 158.82/21.38  		bind(X14, v0),
% 158.82/21.38  		bind(X15, v32),
% 158.82/21.38  		bind(X16, v32),
% 158.82/21.38  		bind(X17, v400),
% 158.82/21.38  		bind(X18, v0),
% 158.82/21.38  		bind(X19, v400),
% 158.82/21.38  		bind(X20, v400),
% 158.82/21.38  		bind(X21, v600),
% 158.82/21.38  		bind(X22, v0),
% 158.82/21.38  		bind(X23, v600),
% 158.82/21.38  		bind(X24, v600)
% 158.82/21.38  	],
% 158.82/21.38  	[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, a30, a31, a32])).
% 158.82/21.38  
% 158.82/21.38  % SZS output end IncompleteProof
%------------------------------------------------------------------------------