%------------------------------------------------------------------------------
% File     : GRP751-1 : TPTP v9.0.0. Released v4.0.0.
% Domain   : Group Theory (Quasigroups)
% Problem  : A new basis for trimedial quasigroups: part 1a
% Version  : Especial.
% English  :

% Refs     : [KP04]  Kinyon & Phillips (2004), Axioms for Trimedial Quasigr
%          : [Sta08] Stanovsky (2008), Email to G. Sutcliffe
% Source   : [Sta08]
% Names    : KP04b_1a [Sta08]

% Status   : Unsatisfiable
% Rating   : 0.36 v9.0.0, 0.41 v8.2.0, 0.46 v8.1.0, 0.40 v7.5.0, 0.54 v7.4.0, 0.57 v7.3.0, 0.58 v7.1.0, 0.50 v7.0.0, 0.53 v6.4.0, 0.47 v6.2.0, 0.50 v6.1.0, 0.62 v6.0.0, 0.67 v5.5.0, 0.68 v5.4.0, 0.60 v5.3.0, 0.58 v5.2.0, 0.57 v5.1.0, 0.60 v5.0.0, 0.57 v4.1.0, 0.55 v4.0.1, 0.50 v4.0.0
% Syntax   : Number of clauses     :    8 (   8 unt;   0 nHn;   1 RR)
%            Number of literals    :    8 (   8 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    1 (   0 usr;   0 prp; 2-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   17 (   0 sgn)
% SPC      : CNF_UNS_RFO_PEQ_UEQ

% Comments :
%------------------------------------------------------------------------------
cnf(f01,axiom,
    mult(A,ld(A,B)) = B ).

cnf(f02,axiom,
    ld(A,mult(A,B)) = B ).

cnf(f03,axiom,
    mult(rd(A,B),B) = A ).

cnf(f04,axiom,
    rd(mult(A,B),B) = A ).

cnf(f05,axiom,
    mult(mult(A,mult(A,A)),mult(B,C)) = mult(mult(A,B),mult(mult(A,A),C)) ).

cnf(f06,axiom,
    mult(mult(A,A),mult(B,C)) = mult(mult(A,B),mult(A,C)) ).

cnf(f07,axiom,
    mult(mult(A,B),mult(C,C)) = mult(mult(A,C),mult(B,C)) ).

cnf(goals,negated_conjecture,
    mult(a,mult(b,c)) != mult(mult(rd(a,a),b),mult(a,c)) ).

%------------------------------------------------------------------------------