TPTP Problem File: LCL353-3.p
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%--------------------------------------------------------------------------
% File : LCL353-3 : TPTP v9.0.0. Released v2.3.0.
% Domain : Logic Calculi (Propositional)
% Problem : Principia Mathematica 5.75
% Version : [WR27] axioms.
% English :
% Refs : [WR27] Whitehead & Russell (1927), Principia Mathematica
% Source : [WR27]
% Names : Problem 5.75 [WR27]
% Status : Unsatisfiable
% Rating : 1.00 v4.1.0, 0.89 v4.0.1, 0.83 v3.3.0, 0.86 v3.1.0, 0.89 v2.7.0, 1.00 v2.3.0
% Syntax : Number of clauses : 11 ( 9 unt; 0 nHn; 3 RR)
% Number of literals : 14 ( 3 equ; 4 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 20 ( 1 sgn)
% SPC : CNF_UNS_RFO_SEQ_HRN
% Comments :
%--------------------------------------------------------------------------
%----Include axioms of propositional logic
include('Axioms/LCL004-0.ax').
include('Axioms/LCL004-1.ax').
include('Axioms/LCL004-2.ax').
%--------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ theorem(implies(equivalent(and(implies(r,not(q)),p),or(q,r)),equivalent(and(p,not(q)),r))) ).
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