%--------------------------------------------------------------------------
% File     : RNG033-6 : TPTP v8.2.0. Released v1.0.0.
% Domain   : Ring Theory (Alternative)
% Problem  : A fairly complex equation with associators
% Version  : [Ste87] (equality) axioms.
% English  : assr(X.Y,Z,W)+assr(X,Y,comm(Z,W)) = X.assr(Y,Z,W)+assr(X,Z,W).Y

% Refs     : [Ste87] Stevens (1987), Some Experiments in Nonassociative Rin
% Source   : [Ste87]
% Names    : ch [Ste87]

% Status   : Unknown
% Rating   : 1.00 v2.0.0
% Syntax   : Number of clauses     :   16 (  16 unt;   0 nHn;   1 RR)
%            Number of literals    :   16 (  16 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    :   10 (  10 usr;   5 con; 0-3 aty)
%            Number of variables   :   27 (   2 sgn)
% SPC      : CNF_UNK_RFO_PEQ_UEQ

% Comments :
%--------------------------------------------------------------------------
%----Include nonassociative ring axioms
include('Axioms/RNG003-0.ax').
%--------------------------------------------------------------------------
cnf(prove_challenge,negated_conjecture,
    add(associator(multiply(x,y),z,w),associator(x,y,commutator(z,w))) != add(multiply(x,associator(y,z,w)),multiply(associator(x,z,w),y)) ).

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