TPTP Problem File: RNG033-6.p
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% 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 :
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%----Include nonassociative ring axioms
include('Axioms/RNG003-0.ax').
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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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