%------------------------------------------------------------------------------
% File     : lazyCoP---0.1
% Problem  : LCL355-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop

% Computer : n027.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 : Sun Jul 17 12:08:39 EDT 2022

% Result   : Unsatisfiable 0.14s 0.34s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL355-1 : TPTP v8.1.0. Released v2.3.0.
% 0.03/0.13  % Command  : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.14/0.34  % Computer : n027.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sat Jul  2 14:50:08 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % SZS status Unsatisfiable
% 0.14/0.34  % SZS output begin IncompleteProof
% 0.14/0.34  cnf(c0, axiom,
% 0.14/0.34  	~is_a_theorem(implies(implies(implies(implies(x,y),implies(z,y)),u),implies(implies(z,x),u)))).
% 0.14/0.34  cnf(c1, plain,
% 0.14/0.34  	~is_a_theorem(implies(implies(implies(implies(x,y),implies(z,y)),u),implies(implies(z,x),u))),
% 0.14/0.34  	inference(start, [], [c0])).
% 0.14/0.34  
% 0.14/0.34  cnf(c2, axiom,
% 0.14/0.34  	is_a_theorem(X0) | ~is_a_theorem(X1) | ~is_a_theorem(implies(X1,X0))).
% 0.14/0.34  cnf(a0, assumption,
% 0.14/0.34  	implies(implies(implies(implies(x,y),implies(z,y)),u),implies(implies(z,x),u)) = X0).
% 0.14/0.34  cnf(c3, plain,
% 0.14/0.34  	$false,
% 0.14/0.34  	inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])).
% 0.14/0.34  cnf(c4, plain,
% 0.14/0.34  	~is_a_theorem(X1) | ~is_a_theorem(implies(X1,X0)),
% 0.14/0.34  	inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])).
% 0.14/0.34  
% 0.14/0.34  cnf(c5, axiom,
% 0.14/0.34  	is_a_theorem(implies(implies(X2,X3),implies(implies(X3,X4),implies(X2,X4))))).
% 0.14/0.34  cnf(a1, assumption,
% 0.14/0.34  	X1 = implies(implies(X2,X3),implies(implies(X3,X4),implies(X2,X4)))).
% 0.14/0.34  cnf(c6, plain,
% 0.14/0.34  	~is_a_theorem(implies(X1,X0)),
% 0.14/0.34  	inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])).
% 0.14/0.34  cnf(c7, plain,
% 0.14/0.34  	$false,
% 0.14/0.34  	inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])).
% 0.14/0.34  
% 0.14/0.34  cnf(c8, axiom,
% 0.14/0.34  	is_a_theorem(implies(implies(X5,X6),implies(implies(X6,X7),implies(X5,X7))))).
% 0.14/0.34  cnf(a2, assumption,
% 0.14/0.34  	implies(X1,X0) = implies(implies(X5,X6),implies(implies(X6,X7),implies(X5,X7)))).
% 0.14/0.34  cnf(c9, plain,
% 0.14/0.34  	$false,
% 0.14/0.34  	inference(strict_predicate_extension, [assumptions([a2])], [c6, c8])).
% 0.14/0.34  cnf(c10, plain,
% 0.14/0.34  	$false,
% 0.14/0.34  	inference(strict_predicate_extension, [assumptions([a2])], [c6, c8])).
% 0.14/0.34  
% 0.14/0.34  cnf(c11, plain,
% 0.14/0.34  	$false,
% 0.14/0.34  	inference(constraint_solving, [
% 0.14/0.34  		bind(X0, implies(implies(implies(implies(x,y),implies(z,y)),u),implies(implies(z,x),u))),
% 0.14/0.34  		bind(X1, implies(implies(X2,X3),implies(implies(X3,X4),implies(X2,X4)))),
% 0.14/0.34  		bind(X2, z),
% 0.14/0.34  		bind(X3, x),
% 0.14/0.34  		bind(X4, y),
% 0.14/0.34  		bind(X5, implies(X2,X3)),
% 0.14/0.34  		bind(X6, implies(implies(X3,X4),implies(X2,X4))),
% 0.14/0.34  		bind(X7, u)
% 0.14/0.34  	],
% 0.14/0.34  	[a0, a1, a2])).
% 0.14/0.34  
% 0.14/0.34  % SZS output end IncompleteProof
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