TPTP Problem File: GEO144-1.p
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- Solve Problem
%--------------------------------------------------------------------------
% File : GEO144-1 : TPTP v8.2.0. Released v2.4.0.
% Domain : Geometry (Oriented curves)
% Problem : Unique oppositely oriented curve 5
% Version : [EHK99] axioms.
% English : For every oriented line there is exactly one uniquely determined
% oriented line with the same underlying curve that orders the
% points in the opposite way.
% Refs : [KE99] Kulik & Eschenbach (1999), A Geometry of Oriented Curv
% : [EHK99] Eschenbach et al. (1999), Representing Simple Trajecto
% Source : [TPTP]
% Names :
% Status : Unsatisfiable
% Rating : 1.00 v2.4.0
% Syntax : Number of clauses : 126 ( 8 unt; 62 nHn; 116 RR)
% Number of literals : 414 ( 44 equ; 201 neg)
% Maximal clause size : 12 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 14 usr; 0 prp; 1-4 aty)
% Number of functors : 31 ( 31 usr; 5 con; 0-5 aty)
% Number of variables : 276 ( 17 sgn)
% SPC : CNF_UNS_RFO_SEQ_NHN
% Comments : Created by tptp2X -f tptp -t clausify:otter GEO144+1.p
%--------------------------------------------------------------------------
%----Include simple curve axioms
include('Axioms/GEO004-0.ax').
%----Include axioms of betweenness for simple curves
include('Axioms/GEO004-1.ax').
%----Include oriented curve axioms
include('Axioms/GEO004-2.ax').
%--------------------------------------------------------------------------
cnf(theorem_4_23_5_133,negated_conjecture,
ordered_by(sk25,sk26,sk27) ).
cnf(theorem_4_23_5_134,negated_conjecture,
sk26 != sk28 ).
cnf(theorem_4_23_5_135,negated_conjecture,
sk26 != sk29 ).
cnf(theorem_4_23_5_136,negated_conjecture,
sk27 != sk29 ).
cnf(theorem_4_23_5_137,negated_conjecture,
sk27 != sk28 ).
cnf(theorem_4_23_5_138,negated_conjecture,
( ordered_by(sk25,sk28,sk29)
| between(sk25,sk28,sk26,sk27)
| between(sk25,sk26,sk28,sk29) ) ).
cnf(theorem_4_23_5_139,negated_conjecture,
( ordered_by(sk25,sk28,sk29)
| between(sk25,sk28,sk26,sk27)
| between(sk25,sk26,sk28,sk27)
| between(sk25,sk26,sk27,sk28) ) ).
cnf(theorem_4_23_5_140,negated_conjecture,
( ordered_by(sk25,sk28,sk29)
| between(sk25,sk28,sk29,sk27)
| between(sk25,sk28,sk27,sk29)
| between(sk25,sk26,sk28,sk29) ) ).
cnf(theorem_4_23_5_141,negated_conjecture,
( ordered_by(sk25,sk28,sk29)
| between(sk25,sk28,sk29,sk27)
| between(sk25,sk28,sk27,sk29)
| between(sk25,sk26,sk28,sk27)
| between(sk25,sk26,sk27,sk28) ) ).
cnf(theorem_4_23_5_142,negated_conjecture,
( ordered_by(sk25,sk28,sk29)
| ~ ordered_by(sk25,sk28,sk29) ) ).
cnf(theorem_4_23_5_143,negated_conjecture,
( ~ between(sk25,sk28,sk26,sk27)
| ~ between(sk25,sk28,sk29,sk27)
| between(sk25,sk28,sk26,sk27)
| between(sk25,sk26,sk28,sk29) ) ).
cnf(theorem_4_23_5_144,negated_conjecture,
( ~ between(sk25,sk28,sk26,sk27)
| ~ between(sk25,sk28,sk27,sk29)
| between(sk25,sk28,sk26,sk27)
| between(sk25,sk26,sk28,sk29) ) ).
cnf(theorem_4_23_5_145,negated_conjecture,
( ~ between(sk25,sk28,sk26,sk27)
| ~ between(sk25,sk28,sk29,sk27)
| between(sk25,sk28,sk26,sk27)
| between(sk25,sk26,sk28,sk27)
| between(sk25,sk26,sk27,sk28) ) ).
cnf(theorem_4_23_5_146,negated_conjecture,
( ~ between(sk25,sk28,sk26,sk27)
| ~ between(sk25,sk28,sk29,sk27)
| between(sk25,sk28,sk29,sk27)
| between(sk25,sk28,sk27,sk29)
| between(sk25,sk26,sk28,sk29) ) ).
cnf(theorem_4_23_5_147,negated_conjecture,
( ~ between(sk25,sk28,sk26,sk27)
| ~ between(sk25,sk28,sk29,sk27)
| between(sk25,sk28,sk29,sk27)
| between(sk25,sk28,sk27,sk29)
| between(sk25,sk26,sk28,sk27)
| between(sk25,sk26,sk27,sk28) ) ).
cnf(theorem_4_23_5_148,negated_conjecture,
( ~ between(sk25,sk28,sk26,sk27)
| ~ between(sk25,sk28,sk27,sk29)
| between(sk25,sk28,sk26,sk27)
| between(sk25,sk26,sk28,sk27)
| between(sk25,sk26,sk27,sk28) ) ).
cnf(theorem_4_23_5_149,negated_conjecture,
( ~ between(sk25,sk28,sk26,sk27)
| ~ between(sk25,sk28,sk27,sk29)
| between(sk25,sk28,sk29,sk27)
| between(sk25,sk28,sk27,sk29)
| between(sk25,sk26,sk28,sk29) ) ).
cnf(theorem_4_23_5_150,negated_conjecture,
( ~ between(sk25,sk28,sk26,sk27)
| ~ between(sk25,sk28,sk27,sk29)
| between(sk25,sk28,sk29,sk27)
| between(sk25,sk28,sk27,sk29)
| between(sk25,sk26,sk28,sk27)
| between(sk25,sk26,sk27,sk28) ) ).
cnf(theorem_4_23_5_151,negated_conjecture,
( ~ between(sk25,sk26,sk28,sk29)
| ~ between(sk25,sk26,sk28,sk27)
| between(sk25,sk28,sk26,sk27)
| between(sk25,sk26,sk28,sk29) ) ).
cnf(theorem_4_23_5_152,negated_conjecture,
( ~ between(sk25,sk26,sk28,sk29)
| ~ between(sk25,sk26,sk27,sk28)
| between(sk25,sk28,sk26,sk27)
| between(sk25,sk26,sk28,sk29) ) ).
cnf(theorem_4_23_5_153,negated_conjecture,
( ~ between(sk25,sk26,sk28,sk29)
| ~ between(sk25,sk26,sk28,sk27)
| between(sk25,sk28,sk26,sk27)
| between(sk25,sk26,sk28,sk27)
| between(sk25,sk26,sk27,sk28) ) ).
cnf(theorem_4_23_5_154,negated_conjecture,
( ~ between(sk25,sk26,sk28,sk29)
| ~ between(sk25,sk26,sk28,sk27)
| between(sk25,sk28,sk29,sk27)
| between(sk25,sk28,sk27,sk29)
| between(sk25,sk26,sk28,sk29) ) ).
cnf(theorem_4_23_5_155,negated_conjecture,
( ~ between(sk25,sk26,sk28,sk29)
| ~ between(sk25,sk26,sk28,sk27)
| between(sk25,sk28,sk29,sk27)
| between(sk25,sk28,sk27,sk29)
| between(sk25,sk26,sk28,sk27)
| between(sk25,sk26,sk27,sk28) ) ).
cnf(theorem_4_23_5_156,negated_conjecture,
( ~ between(sk25,sk26,sk28,sk29)
| ~ between(sk25,sk26,sk27,sk28)
| between(sk25,sk28,sk26,sk27)
| between(sk25,sk26,sk28,sk27)
| between(sk25,sk26,sk27,sk28) ) ).
cnf(theorem_4_23_5_157,negated_conjecture,
( ~ between(sk25,sk26,sk28,sk29)
| ~ between(sk25,sk26,sk27,sk28)
| between(sk25,sk28,sk29,sk27)
| between(sk25,sk28,sk27,sk29)
| between(sk25,sk26,sk28,sk29) ) ).
cnf(theorem_4_23_5_158,negated_conjecture,
( ~ between(sk25,sk26,sk28,sk29)
| ~ between(sk25,sk26,sk27,sk28)
| between(sk25,sk28,sk29,sk27)
| between(sk25,sk28,sk27,sk29)
| between(sk25,sk26,sk28,sk27)
| between(sk25,sk26,sk27,sk28) ) ).
cnf(theorem_4_23_5_159,negated_conjecture,
( ~ between(sk25,sk28,sk26,sk27)
| ~ between(sk25,sk28,sk29,sk27)
| ~ ordered_by(sk25,sk28,sk29) ) ).
cnf(theorem_4_23_5_160,negated_conjecture,
( ~ between(sk25,sk28,sk26,sk27)
| ~ between(sk25,sk28,sk27,sk29)
| ~ ordered_by(sk25,sk28,sk29) ) ).
cnf(theorem_4_23_5_161,negated_conjecture,
( ~ between(sk25,sk26,sk28,sk29)
| ~ between(sk25,sk26,sk28,sk27)
| ~ ordered_by(sk25,sk28,sk29) ) ).
cnf(theorem_4_23_5_162,negated_conjecture,
( ~ between(sk25,sk26,sk28,sk29)
| ~ between(sk25,sk26,sk27,sk28)
| ~ ordered_by(sk25,sk28,sk29) ) ).
%--------------------------------------------------------------------------