TPTP Problem File: GEO103-1.p
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- Solve Problem
%--------------------------------------------------------------------------
% File : GEO103-1 : TPTP v8.2.0. Released v2.4.0.
% Domain : Geometry (Oriented curves)
% Problem : Common endpoint of subcurves and another point means inclusion
% Version : [EHK99] axioms.
% English : If two sub-curves of an open curve have a common endpoint and
% another point in common, then one of the two sub-curves is
% included in the other.
% Refs : [KE99] Kulik & Eschenbach (1999), A Geometry of Oriented Curv
% : [EHK99] Eschenbach et al. (1999), Representing Simple Trajecto
% Source : [TPTP]
% Names :
% Status : Unknown
% Rating : 1.00 v2.4.0
% Syntax : Number of clauses : 58 ( 11 unt; 21 nHn; 53 RR)
% Number of literals : 164 ( 22 equ; 81 neg)
% Maximal clause size : 12 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 0 prp; 1-3 aty)
% Number of functors : 19 ( 19 usr; 5 con; 0-3 aty)
% Number of variables : 126 ( 10 sgn)
% SPC : CNF_UNK_RFO_SEQ_NHN
% Comments : Created by tptp2X -f tptp -t clausify:otter GEO103+1.p
%--------------------------------------------------------------------------
%----Include simple curve axioms
include('Axioms/GEO004-0.ax').
%--------------------------------------------------------------------------
cnf(corollary_2_21_67,negated_conjecture,
open(sk14) ).
cnf(corollary_2_21_68,negated_conjecture,
part_of(sk15,sk14) ).
cnf(corollary_2_21_69,negated_conjecture,
part_of(sk16,sk14) ).
cnf(corollary_2_21_70,negated_conjecture,
end_point(sk17,sk15) ).
cnf(corollary_2_21_71,negated_conjecture,
end_point(sk17,sk16) ).
cnf(corollary_2_21_72,negated_conjecture,
sk17 != sk18 ).
cnf(corollary_2_21_73,negated_conjecture,
incident_c(sk18,sk15) ).
cnf(corollary_2_21_74,negated_conjecture,
incident_c(sk18,sk16) ).
cnf(corollary_2_21_75,negated_conjecture,
~ part_of(sk15,sk16) ).
cnf(corollary_2_21_76,negated_conjecture,
~ part_of(sk16,sk15) ).
%--------------------------------------------------------------------------