TSTP Solution File: GEO001-1 by lazyCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : lazyCoP---0.1
% Problem  : GEO001-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% 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 : Sat Jul 16 04:58:10 EDT 2022

% Result   : Unsatisfiable 205.09s 26.70s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : GEO001-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% 0.03/0.12  % Command  : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.12/0.33  % Computer : n026.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat Jun 18 13:24:24 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 205.09/26.70  % SZS status Unsatisfiable
% 205.09/26.70  % SZS output begin IncompleteProof
% 205.09/26.70  cnf(c0, axiom,
% 205.09/26.70  	~between(c,b,a)).
% 205.09/26.70  cnf(c1, plain,
% 205.09/26.70  	~between(c,b,a),
% 205.09/26.70  	inference(start, [], [c0])).
% 205.09/26.70  
% 205.09/26.70  cnf(c2, axiom,
% 205.09/26.70  	between(X0,X1,X2) | ~between(X1,X2,X3) | ~between(X0,X1,X3)).
% 205.09/26.70  cnf(a0, assumption,
% 205.09/26.70  	c = X0).
% 205.09/26.70  cnf(a1, assumption,
% 205.09/26.70  	b = X1).
% 205.09/26.70  cnf(a2, assumption,
% 205.09/26.70  	a = X2).
% 205.09/26.70  cnf(c3, plain,
% 205.09/26.70  	$false,
% 205.09/26.70  	inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 205.09/26.70  cnf(c4, plain,
% 205.09/26.70  	~between(X1,X2,X3) | ~between(X0,X1,X3),
% 205.09/26.70  	inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 205.09/26.70  
% 205.09/26.70  cnf(c5, axiom,
% 205.09/26.70  	between(X4,X5,X6) | ~between(X5,X6,X7) | ~between(X4,X5,X7)).
% 205.09/26.70  cnf(a3, assumption,
% 205.09/26.70  	X1 = X4).
% 205.09/26.70  cnf(a4, assumption,
% 205.09/26.70  	X2 = X5).
% 205.09/26.70  cnf(a5, assumption,
% 205.09/26.70  	X3 = X6).
% 205.09/26.70  cnf(c6, plain,
% 205.09/26.70  	~between(X0,X1,X3),
% 205.09/26.70  	inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])).
% 205.09/26.70  cnf(c7, plain,
% 205.09/26.70  	~between(X5,X6,X7) | ~between(X4,X5,X7),
% 205.09/26.70  	inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])).
% 205.09/26.70  
% 205.09/26.70  cnf(c8, axiom,
% 205.09/26.70  	between(X8,outer_pasch(X9,X8,X10,X11,X12),X10) | ~between(X10,X12,X11) | ~between(X8,X9,X12)).
% 205.09/26.70  cnf(a6, assumption,
% 205.09/26.70  	X5 = X8).
% 205.09/26.70  cnf(a7, assumption,
% 205.09/26.70  	X6 = outer_pasch(X9,X8,X10,X11,X12)).
% 205.09/26.70  cnf(a8, assumption,
% 205.09/26.70  	X7 = X10).
% 205.09/26.70  cnf(c9, plain,
% 205.09/26.70  	~between(X4,X5,X7),
% 205.09/26.70  	inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c7, c8])).
% 205.09/26.70  cnf(c10, plain,
% 205.09/26.70  	~between(X10,X12,X11) | ~between(X8,X9,X12),
% 205.09/26.70  	inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c7, c8])).
% 205.09/26.70  
% 205.09/26.70  cnf(c11, axiom,
% 205.09/26.70  	between(X13,X14,extension(X13,X14,X15,X16))).
% 205.09/26.70  cnf(a9, assumption,
% 205.09/26.70  	X17 = X10).
% 205.09/26.70  cnf(a10, assumption,
% 205.09/26.70  	X18 = X12).
% 205.09/26.70  cnf(a11, assumption,
% 205.09/26.70  	X19 = X11).
% 205.09/26.70  cnf(c12, plain,
% 205.09/26.70  	~between(X8,X9,X12),
% 205.09/26.70  	inference(lazy_predicate_extension, [assumptions([a9, a10, a11])], [c10, c11])).
% 205.09/26.70  cnf(c13, plain,
% 205.09/26.70  	$false,
% 205.09/26.70  	inference(lazy_predicate_extension, [assumptions([a9, a10, a11])], [c10, c11])).
% 205.09/26.70  cnf(c14, plain,
% 205.09/26.70  	X13 != X17 | X14 != X18 | extension(X13,X14,X15,X16) != X19,
% 205.09/26.70  	inference(lazy_predicate_extension, [assumptions([a9, a10, a11])], [c10, c11])).
% 205.09/26.70  
% 205.09/26.70  cnf(a12, assumption,
% 205.09/26.70  	X13 = X17).
% 205.09/26.70  cnf(c15, plain,
% 205.09/26.70  	X14 != X18 | extension(X13,X14,X15,X16) != X19,
% 205.09/26.70  	inference(reflexivity, [assumptions([a12])], [c14])).
% 205.09/26.70  
% 205.09/26.70  cnf(a13, assumption,
% 205.09/26.70  	X14 = X18).
% 205.09/26.70  cnf(c16, plain,
% 205.09/26.70  	extension(X13,X14,X15,X16) != X19,
% 205.09/26.70  	inference(reflexivity, [assumptions([a13])], [c15])).
% 205.09/26.70  
% 205.09/26.70  cnf(c17, axiom,
% 205.09/26.70  	X20 = X21 | ~equidistant(X20,X21,X22,X22)).
% 205.09/26.70  cnf(a14, assumption,
% 205.09/26.70  	extension(X13,X14,X15,X16) = X21).
% 205.09/26.70  cnf(c18, plain,
% 205.09/26.70  	$false,
% 205.09/26.70  	inference(variable_extension, [assumptions([a14])], [c16, c17])).
% 205.09/26.70  cnf(c19, plain,
% 205.09/26.70  	~equidistant(X20,X21,X22,X22),
% 205.09/26.70  	inference(variable_extension, [assumptions([a14])], [c16, c17])).
% 205.09/26.70  cnf(c20, plain,
% 205.09/26.70  	X20 != X23 | X23 != X19,
% 205.09/26.70  	inference(variable_extension, [assumptions([a14])], [c16, c17])).
% 205.09/26.70  
% 205.09/26.70  cnf(a15, assumption,
% 205.09/26.70  	X20 = X23).
% 205.09/26.70  cnf(c21, plain,
% 205.09/26.70  	X23 != X19,
% 205.09/26.70  	inference(reflexivity, [assumptions([a15])], [c20])).
% 205.09/26.70  
% 205.09/26.70  cnf(a16, assumption,
% 205.09/26.70  	X23 = X19).
% 205.09/26.70  cnf(c22, plain,
% 205.09/26.70  	$false,
% 205.09/26.70  	inference(reflexivity, [assumptions([a16])], [c21])).
% 205.09/26.70  
% 205.09/26.70  cnf(c23, axiom,
% 205.09/26.70  	equidistant(X24,extension(X25,X24,X26,X27),X26,X27)).
% 205.09/26.70  cnf(a17, assumption,
% 205.09/26.70  	X20 = X24).
% 205.09/26.70  cnf(a18, assumption,
% 205.09/26.70  	X21 = extension(X25,X24,X26,X27)).
% 205.09/26.70  cnf(a19, assumption,
% 205.09/26.70  	X22 = X26).
% 205.09/26.70  cnf(a20, assumption,
% 205.09/26.70  	X22 = X27).
% 205.09/26.70  cnf(c24, plain,
% 205.09/26.70  	$false,
% 205.09/26.70  	inference(strict_predicate_extension, [assumptions([a17, a18, a19, a20])], [c19, c23])).
% 205.09/26.70  cnf(c25, plain,
% 205.09/26.70  	$false,
% 205.09/26.70  	inference(strict_predicate_extension, [assumptions([a17, a18, a19, a20])], [c19, c23])).
% 205.09/26.70  
% 205.09/26.70  cnf(c26, axiom,
% 205.09/26.70  	between(a,b,c)).
% 205.09/26.70  cnf(a21, assumption,
% 205.09/26.70  	X8 = a).
% 205.09/26.70  cnf(a22, assumption,
% 205.09/26.70  	X9 = b).
% 205.09/26.70  cnf(a23, assumption,
% 205.09/26.70  	X12 = c).
% 205.09/26.70  cnf(c27, plain,
% 205.09/26.70  	$false,
% 205.09/26.70  	inference(strict_predicate_extension, [assumptions([a21, a22, a23])], [c12, c26])).
% 205.09/26.70  cnf(c28, plain,
% 205.09/26.70  	$false,
% 205.09/26.70  	inference(strict_predicate_extension, [assumptions([a21, a22, a23])], [c12, c26])).
% 205.09/26.70  
% 205.09/26.70  cnf(c29, axiom,
% 205.09/26.70  	between(X28,X29,extension(X28,X29,X30,X31))).
% 205.09/26.70  cnf(a24, assumption,
% 205.09/26.70  	X4 = X28).
% 205.09/26.70  cnf(a25, assumption,
% 205.09/26.70  	X5 = X29).
% 205.09/26.70  cnf(a26, assumption,
% 205.09/26.70  	X7 = extension(X28,X29,X30,X31)).
% 205.09/26.70  cnf(c30, plain,
% 205.09/26.70  	$false,
% 205.09/26.70  	inference(strict_predicate_extension, [assumptions([a24, a25, a26])], [c9, c29])).
% 205.09/26.70  cnf(c31, plain,
% 205.09/26.70  	$false,
% 205.09/26.70  	inference(strict_predicate_extension, [assumptions([a24, a25, a26])], [c9, c29])).
% 205.09/26.70  
% 205.09/26.70  cnf(c32, axiom,
% 205.09/26.70  	between(X32,X33,outer_pasch(X33,X34,X35,X32,X36)) | ~between(X35,X36,X32) | ~between(X34,X33,X36)).
% 205.09/26.70  cnf(a27, assumption,
% 205.09/26.70  	X0 = X32).
% 205.09/26.70  cnf(a28, assumption,
% 205.09/26.70  	X1 = X33).
% 205.09/26.70  cnf(a29, assumption,
% 205.09/26.70  	X3 = outer_pasch(X33,X34,X35,X32,X36)).
% 205.09/26.70  cnf(c33, plain,
% 205.09/26.70  	$false,
% 205.09/26.70  	inference(strict_predicate_extension, [assumptions([a27, a28, a29])], [c6, c32])).
% 205.09/26.70  cnf(c34, plain,
% 205.09/26.70  	~between(X35,X36,X32) | ~between(X34,X33,X36),
% 205.09/26.70  	inference(strict_predicate_extension, [assumptions([a27, a28, a29])], [c6, c32])).
% 205.09/26.70  
% 205.09/26.70  cnf(c35, plain,
% 205.09/26.70  	between(X10,X12,X11)).
% 205.09/26.70  cnf(a30, assumption,
% 205.09/26.70  	X35 = X10).
% 205.09/26.70  cnf(a31, assumption,
% 205.09/26.70  	X36 = X12).
% 205.09/26.70  cnf(a32, assumption,
% 205.09/26.70  	X32 = X11).
% 205.09/26.70  cnf(c36, plain,
% 205.09/26.70  	~between(X34,X33,X36),
% 205.09/26.70  	inference(predicate_reduction, [assumptions([a30, a31, a32])], [c34, c35])).
% 205.09/26.70  
% 205.09/26.70  cnf(c37, plain,
% 205.09/26.70  	between(X8,X9,X12)).
% 205.09/26.70  cnf(a33, assumption,
% 205.09/26.70  	X34 = X8).
% 205.09/26.70  cnf(a34, assumption,
% 205.09/26.70  	X33 = X9).
% 205.09/26.70  cnf(a35, assumption,
% 205.09/26.70  	X36 = X12).
% 205.09/26.70  cnf(c38, plain,
% 205.09/26.70  	$false,
% 205.09/26.70  	inference(predicate_reduction, [assumptions([a33, a34, a35])], [c36, c37])).
% 205.09/26.70  
% 205.09/26.70  cnf(c39, plain,
% 205.09/26.70  	$false,
% 205.09/26.70  	inference(constraint_solving, [
% 205.09/26.70  		bind(X0, c),
% 205.09/26.70  		bind(X1, b),
% 205.09/26.70  		bind(X2, a),
% 205.09/26.70  		bind(X3, outer_pasch(X9,X8,X10,X11,X12)),
% 205.09/26.70  		bind(X4, b),
% 205.09/26.70  		bind(X5, a),
% 205.09/26.70  		bind(X6, outer_pasch(X9,X8,X10,X11,X12)),
% 205.09/26.70  		bind(X7, extension(X28,X29,X30,X31)),
% 205.09/26.70  		bind(X8, a),
% 205.09/26.70  		bind(X9, b),
% 205.09/26.70  		bind(X10, extension(X28,X29,X30,X31)),
% 205.09/26.70  		bind(X11, c),
% 205.09/26.70  		bind(X12, c),
% 205.09/26.70  		bind(X13, extension(X28,X29,X30,X31)),
% 205.09/26.70  		bind(X14, c),
% 205.09/26.70  		bind(X15, X27),
% 205.09/26.70  		bind(X16, X27),
% 205.09/26.70  		bind(X17, extension(X28,X29,X30,X31)),
% 205.09/26.70  		bind(X18, c),
% 205.09/26.70  		bind(X19, c),
% 205.09/26.70  		bind(X20, c),
% 205.09/26.70  		bind(X21, extension(X13,X14,X15,X16)),
% 205.09/26.70  		bind(X22, X27),
% 205.09/26.70  		bind(X23, c),
% 205.09/26.70  		bind(X24, c),
% 205.09/26.70  		bind(X25, extension(X28,X29,X30,X31)),
% 205.09/26.70  		bind(X26, X27),
% 205.09/26.70  		bind(X27, X27),
% 205.09/26.70  		bind(X28, b),
% 205.09/26.70  		bind(X29, a),
% 205.09/26.70  		bind(X30, X30),
% 205.09/26.70  		bind(X31, X31),
% 205.09/26.70  		bind(X32, c),
% 205.09/26.70  		bind(X33, b),
% 205.09/26.70  		bind(X34, a),
% 205.09/26.70  		bind(X35, extension(X28,X29,X30,X31)),
% 205.09/26.70  		bind(X36, c)
% 205.09/26.70  	],
% 205.09/26.70  	[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, a33, a34, a35])).
% 205.09/26.70  
% 205.09/26.70  % SZS output end IncompleteProof
%------------------------------------------------------------------------------