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%--------------------------------------------------------------------------
% File : BOO003-4 : TPTP v5.5.0. Released v1.1.0.
% Domain : Boolean Algebra
% Problem : Multiplication is idempotent (X * X = X)
% Version : [Ver94] (equality) axioms.
% English :
% Refs : [Ver94] Veroff (1994), Problem Set
% Source : [Ver94]
% Names : TA [Ver94]
% Status : Unsatisfiable
% Rating : 0.10 v5.5.0, 0.05 v5.4.0, 0.00 v2.1.0, 0.13 v2.0.0
% Syntax : Number of clauses : 9 ( 0 non-Horn; 9 unit; 1 RR)
% Number of atoms : 9 ( 9 equality)
% Maximal clause size : 1 ( 1 average)
% Number of predicates : 1 ( 0 propositional; 2-2 arity)
% Number of functors : 6 ( 3 constant; 0-2 arity)
% Number of variables : 14 ( 0 singleton)
% Maximal term depth : 3 ( 2 average)
% SPC : CNF_UNS_RFO_PEQ_UEQ
% Comments :
%--------------------------------------------------------------------------
%----Include boolean algebra axioms for equality formulation
include('Axioms/BOO004-0.ax').
%--------------------------------------------------------------------------
cnf(prove_a_times_a_is_a,negated_conjecture,
( multiply(a,a) != a )).
%--------------------------------------------------------------------------
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