TPTP Problem File: GEO126-1.p
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%--------------------------------------------------------------------------
% File : GEO126-1 : TPTP v9.0.0. Released v2.4.0.
% Domain : Geometry (Oriented curves)
% Problem : Every oriented curve orders some points
% Version : [EHK99] axioms.
% English :
% Refs : [KE99] Kulik & Eschenbach (1999), A Geometry of Oriented Curv
% : [EHK99] Eschenbach et al. (1999), Representing Simple Trajecto
% Source : [TPTP]
% Names :
% Status : Unsatisfiable
% Rating : 0.20 v9.0.0, 0.25 v8.2.0, 0.29 v8.1.0, 0.21 v7.5.0, 0.26 v7.4.0, 0.29 v7.3.0, 0.42 v7.1.0, 0.33 v7.0.0, 0.40 v6.3.0, 0.36 v6.2.0, 0.30 v6.1.0, 0.50 v5.5.0, 0.65 v5.3.0, 0.61 v5.2.0, 0.56 v5.1.0, 0.59 v5.0.0, 0.57 v4.1.0, 0.54 v4.0.1, 0.45 v3.7.0, 0.20 v3.5.0, 0.27 v3.4.0, 0.42 v3.3.0, 0.50 v3.2.0, 0.54 v3.1.0, 0.55 v2.7.0, 0.50 v2.6.0, 0.44 v2.4.0
% Syntax : Number of clauses : 97 ( 3 unt; 42 nHn; 87 RR)
% Number of literals : 301 ( 41 equ; 153 neg)
% Maximal clause size : 12 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 0 prp; 1-4 aty)
% Number of functors : 27 ( 27 usr; 1 con; 0-5 aty)
% Number of variables : 278 ( 17 sgn)
% SPC : CNF_UNS_RFO_SEQ_NHN
% Comments : Created by tptp2X -f tptp -t clausify:otter GEO126+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_11_133,negated_conjecture,
( ~ ordered_by(sk25,A,B)
| A = B ) ).
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