TPTP Problem File: GEO037-2.p
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%--------------------------------------------------------------------------
% File : GEO037-2 : TPTP v8.2.0. Released v1.0.0.
% Domain : Geometry
% Problem : A segment can be extended
% Version : [Qua89] axioms.
% English :
% Refs : [SST83] Schwabbauser et al. (1983), Metamathematische Methoden
% : [Qua89] Quaife (1989), Automated Development of Tarski's Geome
% Source : [TPTP]
% Names :
% Status : Unsatisfiable
% Rating : 0.25 v8.2.0, 0.24 v8.1.0, 0.16 v7.5.0, 0.26 v7.4.0, 0.29 v7.3.0, 0.17 v7.1.0, 0.08 v7.0.0, 0.20 v6.3.0, 0.18 v6.2.0, 0.20 v6.1.0, 0.36 v6.0.0, 0.30 v5.5.0, 0.60 v5.4.0, 0.55 v5.3.0, 0.61 v5.2.0, 0.50 v5.1.0, 0.47 v5.0.0, 0.29 v4.1.0, 0.23 v4.0.1, 0.18 v3.7.0, 0.20 v3.5.0, 0.27 v3.4.0, 0.25 v3.3.0, 0.29 v3.2.0, 0.31 v3.1.0, 0.09 v2.7.0, 0.33 v2.6.0, 0.30 v2.5.0, 0.33 v2.4.0, 0.33 v2.3.0, 0.44 v2.2.1, 0.44 v2.2.0, 0.67 v2.1.0, 0.78 v2.0.0
% Syntax : Number of clauses : 19 ( 6 unt; 5 nHn; 16 RR)
% Number of literals : 59 ( 8 equ; 36 neg)
% Maximal clause size : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 0 prp; 2-4 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-6 aty)
% Number of variables : 71 ( 3 sgn)
% SPC : CNF_UNS_RFO_SEQ_NHN
% Comments : This presentation may have alternatives/be incorrect.
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%----Include Tarski geometry axioms
include('Axioms/GEO002-0.ax').
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cnf(prove_lengthen,negated_conjecture,
( v = extension(u,v,lower_dimension_point_1,lower_dimension_point_2)
| ~ equidistant(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2))
| ~ between(u,v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2)) ) ).
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