TPTP Problem File: RNG033-8.p
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- Solve Problem
%--------------------------------------------------------------------------
% File : RNG033-8 : TPTP v9.0.0. Bugfixed v2.3.0.
% Domain : Ring Theory (Alternative)
% Problem : A fairly complex equation with associators
% Version : [Ste87] (equality) axioms : Augmented.
% 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 : [TPTP]
% Names :
% Status : Unknown
% Rating : 1.00 v2.3.0
% Syntax : Number of clauses : 17 ( 17 unt; 0 nHn; 1 RR)
% Number of literals : 17 ( 17 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 : 30 ( 2 sgn)
% SPC : CNF_UNK_RFO_PEQ_UEQ
% Comments : This includes the right Moufang identity, which [Ste87]
% suggests in a useful lemma for this problem.
% Bugfixes : v2.3.0 - Clause right_moufang fixed.
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%----Include nonassociative ring axioms
include('Axioms/RNG003-0.ax').
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%----Right Moufang
cnf(right_moufang,hypothesis,
multiply(Z,multiply(X,multiply(Y,X))) = multiply(multiply(multiply(Z,X),Y),X) ).
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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