TPTP Problem File: LCL242-1.p
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- Solve Problem
%--------------------------------------------------------------------------
% File : LCL242-1 : TPTP v9.0.0. Bugfixed v2.3.0.
% Domain : Logic Calculi (Propositional)
% Problem : Principia Mathematica 3.3
% Version : [WR27] axioms : Reduced & Augmented.
% English :
% Refs : [WR27] Whitehead & Russell (1927), Principia Mathematica
% : [NSS63] Newell et al. (1963), Empirical Explorations with the
% : [ORo89] O'Rourke (1989), LT Revisited: Explanation-Based Learn
% : [SE94] Segre & Elkan (1994), A High-Performance Explanation-B
% Source : [SE94]
% Names : Problem 3.3 [WR27]
% Status : Satisfiable
% Rating : 0.00 v8.2.0, 0.33 v8.1.0, 0.67 v7.5.0, 0.33 v7.0.0, 0.00 v6.3.0, 0.33 v6.2.0, 0.80 v6.1.0, 0.67 v5.5.0, 0.75 v5.4.0, 0.89 v5.3.0, 0.86 v5.0.0, 0.75 v4.1.0, 0.71 v4.0.0, 0.75 v3.5.0, 0.71 v3.4.0, 0.83 v3.2.0, 0.80 v3.1.0, 0.86 v2.7.0, 0.80 v2.6.0, 1.00 v2.3.0
% Syntax : Number of clauses : 9 ( 6 unt; 0 nHn; 4 RR)
% Number of literals : 14 ( 0 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 2 usr; 0 prp; 1-1 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 17 ( 1 sgn)
% SPC : CNF_SAT_RFO_NEQ
% Comments : Reduced to use only or and not, and includes a redundant rule
% of transitivity of implication, and a reduced rule of
% detachment.
% Bugfixes : v2.3.0 - Function and/2 removed from prove_this
%--------------------------------------------------------------------------
%----Include axioms of propositional logic
include('Axioms/LCL003-0.ax').
%--------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ theorem(or(not(or(not(not(or(not(p),not(q)))),r)),or(not(p),or(not(q),r)))) ).
%--------------------------------------------------------------------------