TPTP Problem File: GEO149-1.p
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%--------------------------------------------------------------------------
% File : GEO149-1 : TPTP v8.2.0. Released v2.4.0.
% Domain : Geometry (Oriented curves)
% Problem : Condition for meeting at two points
% Version : [EHK99] axioms.
% English : Objects can meet at two points only if they are ordered in the
% same way on both trajectories
% 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 : 114 ( 8 unt; 42 nHn; 102 RR)
% Number of literals : 332 ( 41 equ; 169 neg)
% Maximal clause size : 12 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 16 ( 15 usr; 0 prp; 1-4 aty)
% Number of functors : 35 ( 35 usr; 4 con; 0-5 aty)
% Number of variables : 310 ( 19 sgn)
% SPC : CNF_UNS_RFO_SEQ_NHN
% Comments : Created by tptp2X -f tptp -t clausify:otter GEO149+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').
%----Include trajectory axioms
include('Axioms/GEO004-3.ax').
%--------------------------------------------------------------------------
cnf(t15_156,negated_conjecture,
connect(sk29,sk30,sk27) ).
cnf(t15_157,negated_conjecture,
connect(sk29,sk30,sk28) ).
cnf(t15_158,negated_conjecture,
ordered_by(trajectory_of(sk29),sk27,sk28) ).
cnf(t15_159,negated_conjecture,
~ ordered_by(trajectory_of(sk30),sk27,sk28) ).
%--------------------------------------------------------------------------