TPTP Problem File: GEO011-1.p
View Solutions
- Solve Problem
%--------------------------------------------------------------------------
% File : GEO011-1 : TPTP v9.0.0. Bugfixed v2.5.0.
% Domain : Geometry
% Problem : The axiom set points are not collinear
% Version : [MOW76] axioms.
% English :
% Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% : [SST83] Schwabbauser et al. (1983), Metamathematische Methoden
% Source : [ANL]
% Names : T11 [MOW76]
% : t11.ver1.in [ANL]
% Status : Unsatisfiable
% Rating : 0.25 v9.0.0, 0.30 v8.2.0, 0.29 v8.1.0, 0.26 v7.5.0, 0.32 v7.4.0, 0.35 v7.3.0, 0.33 v7.1.0, 0.25 v7.0.0, 0.33 v6.4.0, 0.27 v6.2.0, 0.30 v6.1.0, 0.43 v6.0.0, 0.40 v5.5.0, 0.60 v5.4.0, 0.50 v5.3.0, 0.56 v5.2.0, 0.44 v5.1.0, 0.47 v5.0.0, 0.50 v4.1.0, 0.46 v4.0.1, 0.36 v4.0.0, 0.45 v3.7.0, 0.30 v3.5.0, 0.36 v3.4.0, 0.33 v3.3.0, 0.36 v3.2.0, 0.46 v3.1.0, 0.27 v2.7.0, 0.25 v2.6.0, 0.38 v2.5.0
% Syntax : Number of clauses : 25 ( 7 unt; 7 nHn; 22 RR)
% Number of literals : 75 ( 8 equ; 42 neg)
% Maximal clause size : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 0 prp; 2-4 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-6 aty)
% Number of variables : 91 ( 3 sgn)
% SPC : CNF_UNS_RFO_SEQ_NHN
% Comments :
% Bugfixes : v1.0.1 - Bug in GEO001-0.eq fixed.
% : v2.5.0 - Bug in GEO001-0.ax fixed.
%--------------------------------------------------------------------------
%----Include Tarski geometry axioms
include('Axioms/GEO001-0.ax').
%----Include Tarski geometry axioms for colinearity
include('Axioms/GEO001-1.ax').
%--------------------------------------------------------------------------
cnf(prove_lower_dimension_points_not_colinear,negated_conjecture,
colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) ).
%--------------------------------------------------------------------------