TPTP Problem File: GEO034-2.p
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%--------------------------------------------------------------------------
% File : GEO034-2 : TPTP v8.2.0. Released v1.0.0.
% Domain : Geometry
% Problem : Corollary to the first inner five-segment theorem
% 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 : 0.95 v8.2.0, 0.90 v8.1.0, 0.89 v7.5.0, 0.79 v7.4.0, 0.82 v7.3.0, 0.83 v7.1.0, 0.75 v7.0.0, 0.87 v6.3.0, 0.82 v6.2.0, 0.80 v6.1.0, 1.00 v6.0.0, 0.90 v5.5.0, 1.00 v5.0.0, 0.93 v4.1.0, 0.92 v4.0.1, 0.91 v4.0.0, 1.00 v3.1.0, 0.91 v2.7.0, 1.00 v2.0.0
% Syntax : Number of clauses : 22 ( 10 unt; 5 nHn; 19 RR)
% Number of literals : 60 ( 8 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 : 12 ( 12 usr; 7 con; 0-6 aty)
% Number of variables : 71 ( 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').
%--------------------------------------------------------------------------
cnf(v_between_u_and_w,hypothesis,
between(u,v,w) ).
cnf(u_to_v_equals_u_to_x,hypothesis,
equidistant(u,v,u,x) ).
cnf(w_to_v_equals_w_to_x,hypothesis,
equidistant(w,v,w,x) ).
cnf(prove_v_is_x,negated_conjecture,
v != x ).
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