TSTP Solution File: COL060-3 by lazyCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : lazyCoP---0.1
% Problem  : COL060-3 : TPTP v8.1.0. Bugfixed v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop

% Computer : n026.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 32.15s 4.46s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : COL060-3 : TPTP v8.1.0. Bugfixed v1.2.0.
% 0.07/0.13  % Command  : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.13/0.34  % Computer : n026.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 16:17:11 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 32.15/4.46  % SZS status Unsatisfiable
% 32.15/4.46  % SZS output begin IncompleteProof
% 32.15/4.46  cnf(c0, axiom,
% 32.15/4.46  	apply(apply(apply(apply(apply(b,apply(apply(b,apply(t,b)),b)),t),x),y),z) != apply(y,apply(x,z))).
% 32.15/4.46  cnf(c1, plain,
% 32.15/4.46  	apply(apply(apply(apply(apply(b,apply(apply(b,apply(t,b)),b)),t),x),y),z) != apply(y,apply(x,z)),
% 32.15/4.46  	inference(start, [], [c0])).
% 32.15/4.46  
% 32.15/4.46  cnf(c2, axiom,
% 32.15/4.46  	apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2))).
% 32.15/4.46  cnf(a0, assumption,
% 32.15/4.46  	apply(apply(apply(b,apply(apply(b,apply(t,b)),b)),t),x) = apply(apply(apply(b,X0),X1),X2)).
% 32.15/4.46  cnf(c3, plain,
% 32.15/4.46  	$false,
% 32.15/4.46  	inference(strict_function_extension, [assumptions([a0])], [c1, c2])).
% 32.15/4.46  cnf(c4, plain,
% 32.15/4.46  	$false,
% 32.15/4.46  	inference(strict_function_extension, [assumptions([a0])], [c1, c2])).
% 32.15/4.46  cnf(c5, plain,
% 32.15/4.46  	X3 != apply(X0,apply(X1,X2)) | apply(apply(X3,y),z) != apply(y,apply(x,z)),
% 32.15/4.46  	inference(strict_function_extension, [assumptions([a0])], [c1, c2])).
% 32.15/4.46  
% 32.15/4.46  cnf(c6, axiom,
% 32.15/4.46  	apply(apply(apply(b,X4),X5),X6) = apply(X4,apply(X5,X6))).
% 32.15/4.46  cnf(a1, assumption,
% 32.15/4.46  	apply(X0,apply(X1,X2)) = apply(apply(apply(b,X4),X5),X6)).
% 32.15/4.46  cnf(c7, plain,
% 32.15/4.46  	apply(apply(X3,y),z) != apply(y,apply(x,z)),
% 32.15/4.46  	inference(strict_function_extension, [assumptions([a1])], [c5, c6])).
% 32.15/4.46  cnf(c8, plain,
% 32.15/4.46  	$false,
% 32.15/4.46  	inference(strict_function_extension, [assumptions([a1])], [c5, c6])).
% 32.15/4.46  cnf(c9, plain,
% 32.15/4.46  	X7 != apply(X4,apply(X5,X6)) | X3 != X7,
% 32.15/4.46  	inference(strict_function_extension, [assumptions([a1])], [c5, c6])).
% 32.15/4.46  
% 32.15/4.46  cnf(a2, assumption,
% 32.15/4.46  	X7 = apply(X4,apply(X5,X6))).
% 32.15/4.46  cnf(c10, plain,
% 32.15/4.46  	X3 != X7,
% 32.15/4.46  	inference(reflexivity, [assumptions([a2])], [c9])).
% 32.15/4.46  
% 32.15/4.46  cnf(a3, assumption,
% 32.15/4.46  	X3 = X7).
% 32.15/4.46  cnf(c11, plain,
% 32.15/4.46  	$false,
% 32.15/4.46  	inference(reflexivity, [assumptions([a3])], [c10])).
% 32.15/4.46  
% 32.15/4.46  cnf(c12, axiom,
% 32.15/4.46  	apply(apply(apply(b,X8),X9),X10) = apply(X8,apply(X9,X10))).
% 32.15/4.46  cnf(a4, assumption,
% 32.15/4.46  	apply(X11,X12) = apply(X3,y)).
% 32.15/4.46  cnf(c13, plain,
% 32.15/4.46  	$false,
% 32.15/4.46  	inference(lazy_function_extension, [assumptions([a4])], [c7, c12])).
% 32.15/4.46  cnf(c14, plain,
% 32.15/4.46  	$false,
% 32.15/4.46  	inference(lazy_function_extension, [assumptions([a4])], [c7, c12])).
% 32.15/4.46  cnf(c15, plain,
% 32.15/4.46  	X11 != apply(apply(b,X8),X9) | X12 != X10 | X13 != apply(X8,apply(X9,X10)) | apply(X13,z) != apply(y,apply(x,z)),
% 32.15/4.46  	inference(lazy_function_extension, [assumptions([a4])], [c7, c12])).
% 32.15/4.46  
% 32.15/4.46  cnf(c16, axiom,
% 32.15/4.46  	apply(apply(t,X14),X15) = apply(X15,X14)).
% 32.15/4.46  cnf(a5, assumption,
% 32.15/4.46  	apply(apply(b,X8),X9) = apply(X15,X14)).
% 32.15/4.46  cnf(c17, plain,
% 32.15/4.46  	X12 != X10 | X13 != apply(X8,apply(X9,X10)) | apply(X13,z) != apply(y,apply(x,z)),
% 32.15/4.46  	inference(strict_function_extension, [assumptions([a5])], [c15, c16])).
% 32.15/4.46  cnf(c18, plain,
% 32.15/4.46  	$false,
% 32.15/4.46  	inference(strict_function_extension, [assumptions([a5])], [c15, c16])).
% 32.15/4.46  cnf(c19, plain,
% 32.15/4.46  	X16 != apply(apply(t,X14),X15) | X11 != X16,
% 32.15/4.46  	inference(strict_function_extension, [assumptions([a5])], [c15, c16])).
% 32.15/4.46  
% 32.15/4.46  cnf(a6, assumption,
% 32.15/4.46  	X16 = apply(apply(t,X14),X15)).
% 32.15/4.46  cnf(c20, plain,
% 32.15/4.46  	X11 != X16,
% 32.15/4.46  	inference(reflexivity, [assumptions([a6])], [c19])).
% 32.15/4.46  
% 32.15/4.46  cnf(a7, assumption,
% 32.15/4.46  	X11 = X16).
% 32.15/4.46  cnf(c21, plain,
% 32.15/4.46  	$false,
% 32.15/4.46  	inference(reflexivity, [assumptions([a7])], [c20])).
% 32.15/4.46  
% 32.15/4.46  cnf(a8, assumption,
% 32.15/4.46  	X12 = X10).
% 32.15/4.46  cnf(c22, plain,
% 32.15/4.46  	X13 != apply(X8,apply(X9,X10)) | apply(X13,z) != apply(y,apply(x,z)),
% 32.15/4.46  	inference(reflexivity, [assumptions([a8])], [c17])).
% 32.15/4.46  
% 32.15/4.46  cnf(c23, axiom,
% 32.15/4.46  	apply(apply(t,X17),X18) = apply(X18,X17)).
% 32.15/4.46  cnf(a9, assumption,
% 32.15/4.46  	apply(X8,apply(X9,X10)) = apply(apply(t,X17),X18)).
% 32.15/4.46  cnf(c24, plain,
% 32.15/4.46  	apply(X13,z) != apply(y,apply(x,z)),
% 32.15/4.46  	inference(strict_function_extension, [assumptions([a9])], [c22, c23])).
% 32.15/4.46  cnf(c25, plain,
% 32.15/4.46  	$false,
% 32.15/4.46  	inference(strict_function_extension, [assumptions([a9])], [c22, c23])).
% 32.15/4.46  cnf(c26, plain,
% 32.15/4.46  	X19 != apply(X18,X17) | X13 != X19,
% 32.15/4.46  	inference(strict_function_extension, [assumptions([a9])], [c22, c23])).
% 32.15/4.46  
% 32.15/4.46  cnf(a10, assumption,
% 32.15/4.46  	X19 = apply(X18,X17)).
% 32.15/4.46  cnf(c27, plain,
% 32.15/4.46  	X13 != X19,
% 32.15/4.46  	inference(reflexivity, [assumptions([a10])], [c26])).
% 32.15/4.46  
% 32.15/4.46  cnf(a11, assumption,
% 32.15/4.46  	X13 = X19).
% 32.15/4.46  cnf(c28, plain,
% 32.15/4.46  	$false,
% 32.15/4.46  	inference(reflexivity, [assumptions([a11])], [c27])).
% 32.15/4.46  
% 32.15/4.46  cnf(c29, axiom,
% 32.15/4.46  	apply(apply(apply(b,X20),X21),X22) = apply(X20,apply(X21,X22))).
% 32.15/4.46  cnf(a12, assumption,
% 32.15/4.46  	apply(X13,z) = apply(apply(apply(b,X20),X21),X22)).
% 32.15/4.46  cnf(c30, plain,
% 32.15/4.46  	$false,
% 32.15/4.46  	inference(strict_function_extension, [assumptions([a12])], [c24, c29])).
% 32.15/4.46  cnf(c31, plain,
% 32.15/4.46  	$false,
% 32.15/4.46  	inference(strict_function_extension, [assumptions([a12])], [c24, c29])).
% 32.15/4.46  cnf(c32, plain,
% 32.15/4.46  	X23 != apply(X20,apply(X21,X22)) | X23 != apply(y,apply(x,z)),
% 32.15/4.46  	inference(strict_function_extension, [assumptions([a12])], [c24, c29])).
% 32.15/4.46  
% 32.15/4.46  cnf(a13, assumption,
% 32.15/4.46  	X23 = apply(X20,apply(X21,X22))).
% 32.15/4.46  cnf(c33, plain,
% 32.15/4.46  	X23 != apply(y,apply(x,z)),
% 32.15/4.46  	inference(reflexivity, [assumptions([a13])], [c32])).
% 32.15/4.46  
% 32.15/4.46  cnf(a14, assumption,
% 32.15/4.46  	X23 = apply(y,apply(x,z))).
% 32.15/4.46  cnf(c34, plain,
% 32.15/4.46  	$false,
% 32.15/4.46  	inference(reflexivity, [assumptions([a14])], [c33])).
% 32.15/4.46  
% 32.15/4.46  cnf(c35, plain,
% 32.15/4.46  	$false,
% 32.15/4.46  	inference(constraint_solving, [
% 32.15/4.46  		bind(X0, apply(apply(b,apply(t,b)),b)),
% 32.15/4.46  		bind(X1, t),
% 32.15/4.46  		bind(X2, x),
% 32.15/4.46  		bind(X3, apply(X4,apply(X5,X6))),
% 32.15/4.46  		bind(X4, apply(t,b)),
% 32.15/4.46  		bind(X5, b),
% 32.15/4.46  		bind(X6, apply(X1,X2)),
% 32.15/4.46  		bind(X7, apply(X4,apply(X5,X6))),
% 32.15/4.46  		bind(X8, apply(X1,X2)),
% 32.15/4.46  		bind(X9, b),
% 32.15/4.46  		bind(X10, y),
% 32.15/4.46  		bind(X13, apply(X18,X17)),
% 32.15/4.46  		bind(X11, apply(X4,apply(X5,X6))),
% 32.15/4.46  		bind(X12, y),
% 32.15/4.46  		bind(X14, b),
% 32.15/4.46  		bind(X15, apply(b,X8)),
% 32.15/4.46  		bind(X16, apply(apply(t,X14),X15)),
% 32.15/4.46  		bind(X17, x),
% 32.15/4.46  		bind(X18, apply(X9,X10)),
% 32.15/4.46  		bind(X19, apply(X18,X17)),
% 32.15/4.46  		bind(X20, y),
% 32.15/4.46  		bind(X21, x),
% 32.15/4.46  		bind(X22, z),
% 32.15/4.46  		bind(X23, apply(X20,apply(X21,X22)))
% 32.15/4.46  	],
% 32.15/4.46  	[a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14])).
% 32.15/4.46  
% 32.15/4.46  % SZS output end IncompleteProof
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