%-------------------------------------------------------------------------- % File : GRP008-0 : TPTP v7.2.0. Released v2.2.0. % Domain : Group Theory (Semigroups) % Axioms : Semigroups axioms % Version : [MP96] (equality) axioms. % English : % Refs : [McC98] McCune (1998), Email to G. Sutcliffe % : [MP96] McCune & Padmanabhan (1996), Automated Deduction in Eq % Source : [McC98] % Names : % Status : Satisfiable % Syntax : Number of clauses : 1 ( 0 non-Horn; 1 unit; 0 RR) % Number of atoms : 1 ( 1 equality) % Maximal clause size : 1 ( 1 average) % Number of predicates : 1 ( 0 propositional; 2-2 arity) % Number of functors : 1 ( 0 constant; 2-2 arity) % Number of variables : 3 ( 0 singleton) % Maximal term depth : 3 ( 3 average) % SPC : % Comments : %-------------------------------------------------------------------------- %----Associativity: cnf(associativity_of_multiply,axiom, ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) )). %--------------------------------------------------------------------------