TPTP Problem File: BOO077-1.p
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% File : BOO077-1 : TPTP v9.0.0. Released v2.6.0.
% Domain : Boolean Algebra
% Problem : Axiom C1 for Boolean algebra in the Sheffer stroke, part 1
% Version : [EF+02] axioms.
% English :
% Refs : [EF+02] Ernst et al. (2002), More First-order Test Problems in
% : [MV+02] McCune et al. (2002), Short Single Axioms for Boolean
% Source : [TPTP]
% Names :
% Status : Satisfiable
% Rating : 1.00 v6.3.0, 0.67 v6.2.0, 0.83 v6.1.0, 1.00 v2.6.0
% Syntax : Number of clauses : 2 ( 2 unt; 0 nHn; 1 RR)
% Number of literals : 2 ( 2 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 3 ( 1 sgn)
% SPC : CNF_SAT_RFO_PEQ_UEQ
% Comments : A UEQ part of BOO040-1
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cnf(c1,axiom,
nand(nand(A,nand(nand(B,A),A)),nand(B,nand(A,C))) = B ).
cnf(prove_meredith_2_basis_1,negated_conjecture,
nand(nand(a,a),nand(b,a)) != a ).
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