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lazyCoP---0.1.UNS-Ass.s

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%------------------------------------------------------------------------------
% File     : lazyCoP---0.1
% Problem  : COL060-1 : 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 : n023.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 : Fri Jul 15 00:34:00 EDT 2022

% Result   : Unsatisfiable 43.67s 5.87s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : COL060-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13  % Command  : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.13/0.34  % Computer : n023.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 : Tue May 31 09:46:41 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 43.67/5.87  % SZS status Unsatisfiable
% 43.67/5.87  % SZS output begin IncompleteProof
% 43.67/5.87  cnf(c0, axiom,
% 43.67/5.87  	apply(apply(apply(X0,f(X0)),g(X0)),h(X0)) != apply(g(X0),apply(f(X0),h(X0)))).
% 43.67/5.87  cnf(c1, plain,
% 43.67/5.87  	apply(apply(apply(X0,f(X0)),g(X0)),h(X0)) != apply(g(X0),apply(f(X0),h(X0))),
% 43.67/5.87  	inference(start, [], [c0])).
% 43.67/5.87  
% 43.67/5.87  cnf(c2, axiom,
% 43.67/5.87  	apply(apply(apply(b,X1),X2),X3) = apply(X1,apply(X2,X3))).
% 43.67/5.87  cnf(a0, assumption,
% 43.67/5.87  	apply(X0,f(X0)) = apply(apply(apply(b,X1),X2),X3)).
% 43.67/5.87  cnf(c3, plain,
% 43.67/5.87  	$false,
% 43.67/5.87  	inference(strict_function_extension, [assumptions([a0])], [c1, c2])).
% 43.67/5.87  cnf(c4, plain,
% 43.67/5.87  	$false,
% 43.67/5.87  	inference(strict_function_extension, [assumptions([a0])], [c1, c2])).
% 43.67/5.87  cnf(c5, plain,
% 43.67/5.87  	X4 != apply(X1,apply(X2,X3)) | apply(apply(X4,g(X0)),h(X0)) != apply(g(X0),apply(f(X0),h(X0))),
% 43.67/5.87  	inference(strict_function_extension, [assumptions([a0])], [c1, c2])).
% 43.67/5.87  
% 43.67/5.87  cnf(c6, axiom,
% 43.67/5.87  	apply(apply(apply(b,X5),X6),X7) = apply(X5,apply(X6,X7))).
% 43.67/5.87  cnf(a1, assumption,
% 43.67/5.87  	apply(X1,apply(X2,X3)) = apply(apply(apply(b,X5),X6),X7)).
% 43.67/5.87  cnf(c7, plain,
% 43.67/5.87  	apply(apply(X4,g(X0)),h(X0)) != apply(g(X0),apply(f(X0),h(X0))),
% 43.67/5.87  	inference(strict_function_extension, [assumptions([a1])], [c5, c6])).
% 43.67/5.87  cnf(c8, plain,
% 43.67/5.87  	$false,
% 43.67/5.87  	inference(strict_function_extension, [assumptions([a1])], [c5, c6])).
% 43.67/5.87  cnf(c9, plain,
% 43.67/5.87  	X8 != apply(X5,apply(X6,X7)) | X4 != X8,
% 43.67/5.87  	inference(strict_function_extension, [assumptions([a1])], [c5, c6])).
% 43.67/5.87  
% 43.67/5.87  cnf(a2, assumption,
% 43.67/5.87  	X8 = apply(X5,apply(X6,X7))).
% 43.67/5.87  cnf(c10, plain,
% 43.67/5.87  	X4 != X8,
% 43.67/5.87  	inference(reflexivity, [assumptions([a2])], [c9])).
% 43.67/5.87  
% 43.67/5.87  cnf(a3, assumption,
% 43.67/5.87  	X4 = X8).
% 43.67/5.87  cnf(c11, plain,
% 43.67/5.87  	$false,
% 43.67/5.87  	inference(reflexivity, [assumptions([a3])], [c10])).
% 43.67/5.87  
% 43.67/5.87  cnf(c12, axiom,
% 43.67/5.87  	apply(apply(apply(b,X9),X10),X11) = apply(X9,apply(X10,X11))).
% 43.67/5.87  cnf(a4, assumption,
% 43.67/5.87  	apply(X12,X13) = apply(X4,g(X0))).
% 43.67/5.87  cnf(c13, plain,
% 43.67/5.87  	$false,
% 43.67/5.87  	inference(lazy_function_extension, [assumptions([a4])], [c7, c12])).
% 43.67/5.87  cnf(c14, plain,
% 43.67/5.87  	$false,
% 43.67/5.87  	inference(lazy_function_extension, [assumptions([a4])], [c7, c12])).
% 43.67/5.87  cnf(c15, plain,
% 43.67/5.87  	X12 != apply(apply(b,X9),X10) | X13 != X11 | X14 != apply(X9,apply(X10,X11)) | apply(X14,h(X0)) != apply(g(X0),apply(f(X0),h(X0))),
% 43.67/5.87  	inference(lazy_function_extension, [assumptions([a4])], [c7, c12])).
% 43.67/5.87  
% 43.67/5.87  cnf(c16, axiom,
% 43.67/5.87  	apply(apply(t,X15),X16) = apply(X16,X15)).
% 43.67/5.87  cnf(a5, assumption,
% 43.67/5.87  	apply(apply(b,X9),X10) = apply(X16,X15)).
% 43.67/5.87  cnf(c17, plain,
% 43.67/5.87  	X13 != X11 | X14 != apply(X9,apply(X10,X11)) | apply(X14,h(X0)) != apply(g(X0),apply(f(X0),h(X0))),
% 43.67/5.87  	inference(strict_function_extension, [assumptions([a5])], [c15, c16])).
% 43.67/5.87  cnf(c18, plain,
% 43.67/5.87  	$false,
% 43.67/5.87  	inference(strict_function_extension, [assumptions([a5])], [c15, c16])).
% 43.67/5.87  cnf(c19, plain,
% 43.67/5.87  	X17 != apply(apply(t,X15),X16) | X12 != X17,
% 43.67/5.87  	inference(strict_function_extension, [assumptions([a5])], [c15, c16])).
% 43.67/5.87  
% 43.67/5.87  cnf(a6, assumption,
% 43.67/5.87  	X17 = apply(apply(t,X15),X16)).
% 43.67/5.87  cnf(c20, plain,
% 43.67/5.87  	X12 != X17,
% 43.67/5.87  	inference(reflexivity, [assumptions([a6])], [c19])).
% 43.67/5.87  
% 43.67/5.87  cnf(a7, assumption,
% 43.67/5.87  	X12 = X17).
% 43.67/5.87  cnf(c21, plain,
% 43.67/5.87  	$false,
% 43.67/5.87  	inference(reflexivity, [assumptions([a7])], [c20])).
% 43.67/5.87  
% 43.67/5.87  cnf(a8, assumption,
% 43.67/5.87  	X13 = X11).
% 43.67/5.87  cnf(c22, plain,
% 43.67/5.87  	X14 != apply(X9,apply(X10,X11)) | apply(X14,h(X0)) != apply(g(X0),apply(f(X0),h(X0))),
% 43.67/5.87  	inference(reflexivity, [assumptions([a8])], [c17])).
% 43.67/5.87  
% 43.67/5.87  cnf(c23, axiom,
% 43.67/5.87  	apply(apply(t,X18),X19) = apply(X19,X18)).
% 43.67/5.87  cnf(a9, assumption,
% 43.67/5.87  	apply(X9,apply(X10,X11)) = apply(apply(t,X18),X19)).
% 43.67/5.87  cnf(c24, plain,
% 43.67/5.87  	apply(X14,h(X0)) != apply(g(X0),apply(f(X0),h(X0))),
% 43.67/5.87  	inference(strict_function_extension, [assumptions([a9])], [c22, c23])).
% 43.67/5.87  cnf(c25, plain,
% 43.67/5.87  	$false,
% 43.67/5.87  	inference(strict_function_extension, [assumptions([a9])], [c22, c23])).
% 43.67/5.87  cnf(c26, plain,
% 43.67/5.87  	X20 != apply(X19,X18) | X14 != X20,
% 43.67/5.87  	inference(strict_function_extension, [assumptions([a9])], [c22, c23])).
% 43.67/5.87  
% 43.67/5.87  cnf(a10, assumption,
% 43.67/5.87  	X20 = apply(X19,X18)).
% 43.67/5.87  cnf(c27, plain,
% 43.67/5.87  	X14 != X20,
% 43.67/5.87  	inference(reflexivity, [assumptions([a10])], [c26])).
% 43.67/5.87  
% 43.67/5.87  cnf(a11, assumption,
% 43.67/5.87  	X14 = X20).
% 43.67/5.87  cnf(c28, plain,
% 43.67/5.87  	$false,
% 43.67/5.87  	inference(reflexivity, [assumptions([a11])], [c27])).
% 43.67/5.87  
% 43.67/5.87  cnf(c29, axiom,
% 43.67/5.87  	apply(apply(apply(b,X21),X22),X23) = apply(X21,apply(X22,X23))).
% 43.67/5.87  cnf(a12, assumption,
% 43.67/5.87  	apply(X14,h(X0)) = apply(apply(apply(b,X21),X22),X23)).
% 43.67/5.87  cnf(c30, plain,
% 43.67/5.87  	$false,
% 43.67/5.87  	inference(strict_function_extension, [assumptions([a12])], [c24, c29])).
% 43.67/5.87  cnf(c31, plain,
% 43.67/5.87  	$false,
% 43.67/5.87  	inference(strict_function_extension, [assumptions([a12])], [c24, c29])).
% 43.67/5.87  cnf(c32, plain,
% 43.67/5.87  	X24 != apply(X21,apply(X22,X23)) | X24 != apply(g(X0),apply(f(X0),h(X0))),
% 43.67/5.87  	inference(strict_function_extension, [assumptions([a12])], [c24, c29])).
% 43.67/5.87  
% 43.67/5.87  cnf(a13, assumption,
% 43.67/5.87  	X24 = apply(X21,apply(X22,X23))).
% 43.67/5.87  cnf(c33, plain,
% 43.67/5.87  	X24 != apply(g(X0),apply(f(X0),h(X0))),
% 43.67/5.87  	inference(reflexivity, [assumptions([a13])], [c32])).
% 43.67/5.87  
% 43.67/5.87  cnf(a14, assumption,
% 43.67/5.87  	X24 = apply(g(X0),apply(f(X0),h(X0)))).
% 43.67/5.87  cnf(c34, plain,
% 43.67/5.87  	$false,
% 43.67/5.87  	inference(reflexivity, [assumptions([a14])], [c33])).
% 43.67/5.87  
% 43.67/5.87  cnf(c35, plain,
% 43.67/5.87  	$false,
% 43.67/5.87  	inference(constraint_solving, [
% 43.67/5.87  		bind(X0, apply(apply(b,X1),X2)),
% 43.67/5.87  		bind(X1, apply(apply(b,X5),X6)),
% 43.67/5.87  		bind(X2, t),
% 43.67/5.87  		bind(X3, f(X0)),
% 43.67/5.87  		bind(X4, apply(X5,apply(X6,X7))),
% 43.67/5.87  		bind(X5, apply(t,X15)),
% 43.67/5.87  		bind(X6, b),
% 43.67/5.87  		bind(X7, apply(X2,X3)),
% 43.67/5.87  		bind(X8, apply(X5,apply(X6,X7))),
% 43.67/5.87  		bind(X9, apply(X2,X3)),
% 43.67/5.87  		bind(X10, b),
% 43.67/5.87  		bind(X11, g(X0)),
% 43.67/5.87  		bind(X14, apply(X19,X18)),
% 43.67/5.87  		bind(X12, apply(X5,apply(X6,X7))),
% 43.67/5.87  		bind(X13, g(X0)),
% 43.67/5.87  		bind(X15, b),
% 43.67/5.87  		bind(X16, apply(b,X9)),
% 43.67/5.87  		bind(X17, apply(apply(t,X15),X16)),
% 43.67/5.87  		bind(X18, f(X0)),
% 43.67/5.87  		bind(X19, apply(X10,X11)),
% 43.67/5.87  		bind(X20, apply(X19,X18)),
% 43.67/5.87  		bind(X21, g(X0)),
% 43.67/5.87  		bind(X22, f(X0)),
% 43.67/5.87  		bind(X23, h(X0)),
% 43.67/5.87  		bind(X24, apply(X21,apply(X22,X23)))
% 43.67/5.87  	],
% 43.67/5.87  	[a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14])).
% 43.67/5.87  
% 43.67/5.87  % SZS output end IncompleteProof
%------------------------------------------------------------------------------