1%-------------------------------------------------------------------------- 2% File : BOO003-4 : TPTP v5.5.0. Released v1.1.0. 3% Domain : Boolean Algebra 4% Problem : Multiplication is idempotent (X * X = X) 5% Version : [Ver94] (equality) axioms. 6% English : 7 8% Refs : [Ver94] Veroff (1994), Problem Set 9% Source : [Ver94] 10% Names : TA [Ver94] 11 12% Status : Unsatisfiable 13% Rating : 0.10 v5.5.0, 0.05 v5.4.0, 0.00 v2.1.0, 0.13 v2.0.0 14% Syntax : Number of clauses : 9 ( 0 non-Horn; 9 unit; 1 RR) 15% Number of atoms : 9 ( 9 equality) 16% Maximal clause size : 1 ( 1 average) 17% Number of predicates : 1 ( 0 propositional; 2-2 arity) 18% Number of functors : 6 ( 3 constant; 0-2 arity) 19% Number of variables : 14 ( 0 singleton) 20% Maximal term depth : 3 ( 2 average) 21% SPC : CNF_UNS_RFO_PEQ_UEQ 22 23% Comments : 24%-------------------------------------------------------------------------- 25%----Include boolean algebra axioms for equality formulation 26include('Axioms/BOO004-0.ax'). 27%-------------------------------------------------------------------------- 28cnf(prove_a_times_a_is_a,negated_conjecture, 29 ( multiply(a,a) != a )). 30 31%-------------------------------------------------------------------------- 32