TPTP Axioms File: HWC001-0.ax


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% File     : HWC001-0 : TPTP v7.5.0. Released v1.0.0.
% Domain   : Hardware Creation
% Axioms   : Definitions of AND, OR and NOT
% Version  : [WO+92] axioms.
%            Axiom formulation : Ground axioms.
% English  :

% Refs     : [WO+92] Wos et al. (1992), Automated Reasoning: Introduction a
% Source   : [ANL]
% Names    :

% Status   : Satisfiable
% Syntax   : Number of clauses    :   10 (   0 non-Horn;  10 unit;  10 RR)
%            Number of atoms      :   10 (  10 equality)
%            Maximal clause size  :    1 (   1 average)
%            Number of predicates :    1 (   0 propositional; 2-2 arity)
%            Number of functors   :    5 (   2 constant; 0-2 arity)
%            Number of variables  :    0 (   0 singleton)
%            Maximal term depth   :    2 (   2 average)
% SPC      : 

% Comments :
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cnf(and_definition1,axiom,
    ( and(n0,n0) = n0 )).

cnf(and_definition2,axiom,
    ( and(n0,n1) = n0 )).

cnf(and_definition3,axiom,
    ( and(n1,n0) = n0 )).

cnf(and_definition4,axiom,
    ( and(n1,n1) = n1 )).

cnf(or_definition1,axiom,
    ( or(n0,n0) = n0 )).

cnf(or_definition2,axiom,
    ( or(n0,n1) = n1 )).

cnf(or_definition3,axiom,
    ( or(n1,n0) = n1 )).

cnf(or_definition4,axiom,
    ( or(n1,n1) = n1 )).

cnf(not_definition1,axiom,
    ( not(n0) = n1 )).

cnf(not_definition2,axiom,
    ( not(n1) = n0 )).

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