TPTP Problem File: GEO049-2.p
View Solutions
- Solve Problem
%--------------------------------------------------------------------------
% File : GEO049-2 : TPTP v9.0.0. Released v1.0.0.
% Domain : Geometry
% Problem : Theorem of similar situations
% 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 : 0.60 v9.0.0, 0.65 v8.2.0, 0.67 v8.1.0, 0.63 v7.5.0, 0.74 v7.4.0, 0.65 v7.3.0, 0.83 v7.1.0, 0.75 v7.0.0, 0.73 v6.2.0, 0.80 v6.1.0, 0.93 v6.0.0, 0.80 v5.5.0, 0.95 v5.4.0, 0.90 v5.3.0, 0.94 v5.0.0, 0.93 v4.1.0, 1.00 v4.0.1, 0.91 v4.0.0, 0.82 v3.7.0, 0.70 v3.5.0, 0.73 v3.4.0, 0.75 v3.3.0, 0.71 v3.2.0, 0.62 v3.1.0, 0.64 v2.7.0, 0.67 v2.6.0, 0.80 v2.5.0, 0.67 v2.4.0, 0.67 v2.3.0, 0.78 v2.2.1, 1.00 v2.0.0
% Syntax : Number of clauses : 23 ( 11 unt; 5 nHn; 20 RR)
% Number of literals : 61 ( 7 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 : 14 ( 14 usr; 9 con; 0-6 aty)
% Number of variables : 71 ( 3 sgn)
% SPC : CNF_UNS_RFO_SEQ_NHN
% Comments :
%--------------------------------------------------------------------------
%----Include Tarski geometry axioms
include('Axioms/GEO002-0.ax').
%--------------------------------------------------------------------------
cnf(u_to_v_equals_u1_to_v1,hypothesis,
equidistant(u,v,u1,v1) ).
cnf(v_to_w_equals_v1_to_w1,hypothesis,
equidistant(v,w,v1,w1) ).
cnf(u_to_w_equals_u1_to_w1,hypothesis,
equidistant(u,w,u1,w1) ).
cnf(v_between_u_and_w,hypothesis,
between(u,v,w) ).
cnf(prove_v1_between_u1_and_w1,negated_conjecture,
~ between(u1,v1,w1) ).
%--------------------------------------------------------------------------