TPTP Problem File: GEO135-1.p
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- Solve Problem
%--------------------------------------------------------------------------
% File : GEO135-1 : TPTP v8.2.0. Released v2.4.0.
% Domain : Geometry (Oriented curves)
% Problem : Ordering can be determined by betweenness and incidence
% Version : [EHK99] axioms.
% English : The ordering of any pair of points R and S on an oriented line
% o can be determined on the basis of a given pair of points P and
% Q using betweenness and incidence only.
% 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 : 133 ( 4 unt; 72 nHn; 123 RR)
% Number of literals : 475 ( 83 equ; 233 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 GEO135+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(corollary_4_18_133,negated_conjecture,
ordered_by(sk25,sk26,sk27) ).
cnf(corollary_4_18_134,negated_conjecture,
( ordered_by(sk25,sk28,sk29)
| incident_o(sk29,sk25)
| between(sk25,sk26,sk28,sk29) ) ).
cnf(corollary_4_18_135,negated_conjecture,
( ordered_by(sk25,sk28,sk29)
| incident_o(sk29,sk25)
| ~ between(sk25,sk27,sk26,sk28) ) ).
cnf(corollary_4_18_136,negated_conjecture,
( ordered_by(sk25,sk28,sk29)
| between(sk25,sk28,sk26,sk27)
| sk26 = sk28
| between(sk25,sk26,sk28,sk29) ) ).
cnf(corollary_4_18_137,negated_conjecture,
( ordered_by(sk25,sk28,sk29)
| sk28 != sk29
| between(sk25,sk26,sk28,sk29) ) ).
cnf(corollary_4_18_138,negated_conjecture,
( ordered_by(sk25,sk28,sk29)
| ~ between(sk25,sk29,sk28,sk27)
| between(sk25,sk26,sk28,sk29) ) ).
cnf(corollary_4_18_139,negated_conjecture,
( ordered_by(sk25,sk28,sk29)
| between(sk25,sk28,sk26,sk27)
| sk26 = sk28
| ~ between(sk25,sk27,sk26,sk28) ) ).
cnf(corollary_4_18_140,negated_conjecture,
( ordered_by(sk25,sk28,sk29)
| sk28 != sk29
| ~ between(sk25,sk27,sk26,sk28) ) ).
cnf(corollary_4_18_141,negated_conjecture,
( ordered_by(sk25,sk28,sk29)
| ~ between(sk25,sk29,sk28,sk27)
| ~ between(sk25,sk27,sk26,sk28) ) ).
cnf(corollary_4_18_142,negated_conjecture,
( ordered_by(sk25,sk28,sk29)
| ~ ordered_by(sk25,sk28,sk29) ) ).
cnf(corollary_4_18_143,negated_conjecture,
( ~ incident_o(sk29,sk25)
| ~ between(sk25,sk28,sk26,sk27)
| sk28 = sk29
| between(sk25,sk29,sk28,sk27)
| incident_o(sk29,sk25)
| between(sk25,sk26,sk28,sk29) ) ).
cnf(corollary_4_18_144,negated_conjecture,
( ~ incident_o(sk29,sk25)
| sk26 != sk28
| sk28 = sk29
| between(sk25,sk29,sk28,sk27)
| incident_o(sk29,sk25)
| between(sk25,sk26,sk28,sk29) ) ).
cnf(corollary_4_18_145,negated_conjecture,
( ~ incident_o(sk29,sk25)
| ~ between(sk25,sk28,sk26,sk27)
| sk28 = sk29
| between(sk25,sk29,sk28,sk27)
| incident_o(sk29,sk25)
| ~ between(sk25,sk27,sk26,sk28) ) ).
cnf(corollary_4_18_146,negated_conjecture,
( ~ incident_o(sk29,sk25)
| ~ between(sk25,sk28,sk26,sk27)
| sk28 = sk29
| between(sk25,sk29,sk28,sk27)
| between(sk25,sk28,sk26,sk27)
| sk26 = sk28
| between(sk25,sk26,sk28,sk29) ) ).
cnf(corollary_4_18_147,negated_conjecture,
( ~ incident_o(sk29,sk25)
| ~ between(sk25,sk28,sk26,sk27)
| sk28 = sk29
| between(sk25,sk29,sk28,sk27)
| sk28 != sk29
| between(sk25,sk26,sk28,sk29) ) ).
cnf(corollary_4_18_148,negated_conjecture,
( ~ incident_o(sk29,sk25)
| ~ between(sk25,sk28,sk26,sk27)
| sk28 = sk29
| between(sk25,sk29,sk28,sk27)
| ~ between(sk25,sk29,sk28,sk27)
| between(sk25,sk26,sk28,sk29) ) ).
cnf(corollary_4_18_149,negated_conjecture,
( ~ incident_o(sk29,sk25)
| ~ between(sk25,sk28,sk26,sk27)
| sk28 = sk29
| between(sk25,sk29,sk28,sk27)
| between(sk25,sk28,sk26,sk27)
| sk26 = sk28
| ~ between(sk25,sk27,sk26,sk28) ) ).
cnf(corollary_4_18_150,negated_conjecture,
( ~ incident_o(sk29,sk25)
| ~ between(sk25,sk28,sk26,sk27)
| sk28 = sk29
| between(sk25,sk29,sk28,sk27)
| sk28 != sk29
| ~ between(sk25,sk27,sk26,sk28) ) ).
cnf(corollary_4_18_151,negated_conjecture,
( ~ incident_o(sk29,sk25)
| ~ between(sk25,sk28,sk26,sk27)
| sk28 = sk29
| between(sk25,sk29,sk28,sk27)
| ~ between(sk25,sk29,sk28,sk27)
| ~ between(sk25,sk27,sk26,sk28) ) ).
cnf(corollary_4_18_152,negated_conjecture,
( ~ incident_o(sk29,sk25)
| sk26 != sk28
| sk28 = sk29
| between(sk25,sk29,sk28,sk27)
| incident_o(sk29,sk25)
| ~ between(sk25,sk27,sk26,sk28) ) ).
cnf(corollary_4_18_153,negated_conjecture,
( ~ incident_o(sk29,sk25)
| sk26 != sk28
| sk28 = sk29
| between(sk25,sk29,sk28,sk27)
| between(sk25,sk28,sk26,sk27)
| sk26 = sk28
| between(sk25,sk26,sk28,sk29) ) ).
cnf(corollary_4_18_154,negated_conjecture,
( ~ incident_o(sk29,sk25)
| sk26 != sk28
| sk28 = sk29
| between(sk25,sk29,sk28,sk27)
| sk28 != sk29
| between(sk25,sk26,sk28,sk29) ) ).
cnf(corollary_4_18_155,negated_conjecture,
( ~ incident_o(sk29,sk25)
| sk26 != sk28
| sk28 = sk29
| between(sk25,sk29,sk28,sk27)
| ~ between(sk25,sk29,sk28,sk27)
| between(sk25,sk26,sk28,sk29) ) ).
cnf(corollary_4_18_156,negated_conjecture,
( ~ incident_o(sk29,sk25)
| sk26 != sk28
| sk28 = sk29
| between(sk25,sk29,sk28,sk27)
| between(sk25,sk28,sk26,sk27)
| sk26 = sk28
| ~ between(sk25,sk27,sk26,sk28) ) ).
cnf(corollary_4_18_157,negated_conjecture,
( ~ incident_o(sk29,sk25)
| sk26 != sk28
| sk28 = sk29
| between(sk25,sk29,sk28,sk27)
| sk28 != sk29
| ~ between(sk25,sk27,sk26,sk28) ) ).
cnf(corollary_4_18_158,negated_conjecture,
( ~ incident_o(sk29,sk25)
| sk26 != sk28
| sk28 = sk29
| between(sk25,sk29,sk28,sk27)
| ~ between(sk25,sk29,sk28,sk27)
| ~ between(sk25,sk27,sk26,sk28) ) ).
cnf(corollary_4_18_159,negated_conjecture,
( ~ between(sk25,sk26,sk28,sk29)
| between(sk25,sk27,sk26,sk28)
| incident_o(sk29,sk25)
| between(sk25,sk26,sk28,sk29) ) ).
cnf(corollary_4_18_160,negated_conjecture,
( ~ between(sk25,sk26,sk28,sk29)
| between(sk25,sk27,sk26,sk28)
| incident_o(sk29,sk25)
| ~ between(sk25,sk27,sk26,sk28) ) ).
cnf(corollary_4_18_161,negated_conjecture,
( ~ between(sk25,sk26,sk28,sk29)
| between(sk25,sk27,sk26,sk28)
| between(sk25,sk28,sk26,sk27)
| sk26 = sk28
| between(sk25,sk26,sk28,sk29) ) ).
cnf(corollary_4_18_162,negated_conjecture,
( ~ between(sk25,sk26,sk28,sk29)
| between(sk25,sk27,sk26,sk28)
| sk28 != sk29
| between(sk25,sk26,sk28,sk29) ) ).
cnf(corollary_4_18_163,negated_conjecture,
( ~ between(sk25,sk26,sk28,sk29)
| between(sk25,sk27,sk26,sk28)
| ~ between(sk25,sk29,sk28,sk27)
| between(sk25,sk26,sk28,sk29) ) ).
cnf(corollary_4_18_164,negated_conjecture,
( ~ between(sk25,sk26,sk28,sk29)
| between(sk25,sk27,sk26,sk28)
| between(sk25,sk28,sk26,sk27)
| sk26 = sk28
| ~ between(sk25,sk27,sk26,sk28) ) ).
cnf(corollary_4_18_165,negated_conjecture,
( ~ between(sk25,sk26,sk28,sk29)
| between(sk25,sk27,sk26,sk28)
| sk28 != sk29
| ~ between(sk25,sk27,sk26,sk28) ) ).
cnf(corollary_4_18_166,negated_conjecture,
( ~ between(sk25,sk26,sk28,sk29)
| between(sk25,sk27,sk26,sk28)
| ~ between(sk25,sk29,sk28,sk27)
| ~ between(sk25,sk27,sk26,sk28) ) ).
cnf(corollary_4_18_167,negated_conjecture,
( ~ incident_o(sk29,sk25)
| ~ between(sk25,sk28,sk26,sk27)
| sk28 = sk29
| between(sk25,sk29,sk28,sk27)
| ~ ordered_by(sk25,sk28,sk29) ) ).
cnf(corollary_4_18_168,negated_conjecture,
( ~ incident_o(sk29,sk25)
| sk26 != sk28
| sk28 = sk29
| between(sk25,sk29,sk28,sk27)
| ~ ordered_by(sk25,sk28,sk29) ) ).
cnf(corollary_4_18_169,negated_conjecture,
( ~ between(sk25,sk26,sk28,sk29)
| between(sk25,sk27,sk26,sk28)
| ~ ordered_by(sk25,sk28,sk29) ) ).
%--------------------------------------------------------------------------