TPTP Axioms File: NUM001-2.ax


%--------------------------------------------------------------------------
% File     : NUM001-2 : TPTP v7.5.0. Released v1.0.0.
% Domain   : Number Theory
% Axioms   : Number theory div axioms
% Version  : [LS74] axioms.
% English  :

% Refs     : [LS74]  Lawrence & Starkey (1974), Experimental Tests of Resol
% Source   : [SPRFN]
% Names    :

% Status   : Satisfiable
% Syntax   : Number of clauses    :    3 (   1 non-Horn;   0 unit;   3 RR)
%            Number of atoms      :    7 (   0 equality)
%            Maximal clause size  :    3 (   2 average)
%            Number of predicates :    3 (   0 propositional; 2-2 arity)
%            Number of functors   :    0 (   0 constant; --- arity)
%            Number of variables  :    6 (   0 singleton)
%            Maximal term depth   :    1 (   1 average)
% SPC      : 

% Comments : Requires NUM001-0.ax NUM001-1.ax
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cnf(divides_only_less_or_equal,axiom,
    ( ~ divides(A,B)
    | less(A,B)
    | equalish(A,B) )).

cnf(divides_if_less,axiom,
    ( ~ less(A,B)
    | divides(A,B) )).

cnf(divides_if_equal,axiom,
    ( ~ equalish(A,B)
    | divides(A,B) )).

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