TPTP Problem File: GEO057-2.p
View Solutions
- Solve Problem
%--------------------------------------------------------------------------
% File : GEO057-2 : TPTP v9.0.0. Released v1.0.0.
% Domain : Geometry
% Problem : Corollary 2 of null extension
% 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 : 0.00 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.09 v6.2.0, 0.10 v6.1.0, 0.07 v6.0.0, 0.10 v5.3.0, 0.11 v5.2.0, 0.12 v5.0.0, 0.00 v4.0.1, 0.09 v3.7.0, 0.10 v3.5.0, 0.09 v3.4.0, 0.08 v3.3.0, 0.14 v3.2.0, 0.00 v3.1.0, 0.09 v2.7.0, 0.08 v2.6.0, 0.00 v2.0.0
% Syntax : Number of clauses : 20 ( 8 unt; 5 nHn; 16 RR)
% Number of literals : 58 ( 9 equ; 35 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 0 prp; 2-4 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-6 aty)
% Number of variables : 73 ( 3 sgn)
% SPC : CNF_UNS_RFO_SEQ_NHN
% Comments : Proving corollaries from axioms is not usual.
%--------------------------------------------------------------------------
%----Include Tarski geometry axioms
include('Axioms/GEO002-0.ax').
%----Include definition of reflection
include('Axioms/GEO002-2.ax').
%--------------------------------------------------------------------------
cnf(prove_null_extension_by_reflection,negated_conjecture,
u != reflection(u,u) ).
%--------------------------------------------------------------------------