TPTP Problem File: LCL175-1.p
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% File : LCL175-1 : TPTP v9.0.0. Released v1.1.0.
% Domain : Logic Calculi (Propositional)
% Problem : Principia Mathematica 2.07
% 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 2.07 [WR27]
% Status : Unsatisfiable
% Rating : 0.00 v5.5.0, 0.06 v5.4.0, 0.11 v5.3.0, 0.15 v5.2.0, 0.08 v5.1.0, 0.06 v5.0.0, 0.00 v2.0.0
% 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 : 5 ( 2 avg)
% Number of predicates : 2 ( 2 usr; 0 prp; 1-1 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 17 ( 1 sgn)
% SPC : CNF_UNS_RFO_NEQ_HRN
% Comments : Reduced to use only or and not, and includes a redundant rule
% of transitivity of implication, and a reduced rule of
% detachment.
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%----Include axioms of propositional logic
include('Axioms/LCL003-0.ax').
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cnf(prove_this,negated_conjecture,
~ theorem(or(not(p),or(p,p))) ).
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