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Diffstat (limited to 'test/regress/regress0/tptp/BOO027-1.p')
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diff --git a/test/regress/regress0/tptp/BOO027-1.p b/test/regress/regress0/tptp/BOO027-1.p new file mode 100644 index 000000000..a3cd4224c --- /dev/null +++ b/test/regress/regress0/tptp/BOO027-1.p @@ -0,0 +1,48 @@ +%-------------------------------------------------------------------------- +% File : BOO027-1 : TPTP v5.5.0. Released v2.2.0. +% Domain : Boolean Algebra +% Problem : Independence of self-dual 2-basis. +% Version : [MP96] (eqiality) axioms : Especial. +% English : Show that half of the self-dual 2-basis in DUAL-BA-3 is not +% a basis for Boolean Algebra. + +% Refs : [McC98] McCune (1998), Email to G. Sutcliffe +% : [MP96] McCune & Padmanabhan (1996), Automated Deduction in Eq +% Source : [McC98] +% Names : DUAL-BA-4 [MP96] + +% Status : Satisfiable +% Rating : 0.00 v5.5.0, 0.20 v5.4.0, 0.25 v5.3.0, 0.33 v5.2.0, 0.00 v3.2.0, 0.33 v3.1.0, 0.00 v2.2.1 +% Syntax : Number of clauses : 6 ( 0 non-Horn; 6 unit; 1 RR) +% Number of atoms : 6 ( 6 equality) +% Maximal clause size : 1 ( 1 average) +% Number of predicates : 1 ( 0 propositional; 2-2 arity) +% Number of functors : 5 ( 2 constant; 0-2 arity) +% Number of variables : 10 ( 0 singleton) +% Maximal term depth : 5 ( 3 average) +% SPC : CNF_SAT_RFO_PEQ_UEQ + +% Comments : There is a 2-element model. +%-------------------------------------------------------------------------- +%----Two properties of Boolean algebra: +cnf(multiply_add_property,axiom, + ( multiply(X,add(Y,Z)) = add(multiply(Y,X),multiply(Z,X)) )). + +cnf(additive_inverse,axiom, + ( add(X,inverse(X)) = one )). + +%----Pixley properties: +cnf(pixley1,axiom, + ( add(multiply(X,inverse(X)),add(multiply(X,Y),multiply(inverse(X),Y))) = Y )). + +cnf(pixley2,axiom, + ( add(multiply(X,inverse(Y)),add(multiply(X,Y),multiply(inverse(Y),Y))) = X )). + +cnf(pixley3,axiom, + ( add(multiply(X,inverse(Y)),add(multiply(X,X),multiply(inverse(Y),X))) = X )). + +%----Denial of a property of Boolean Algebra: +cnf(prove_idempotence,negated_conjecture, + ( add(a,a) != a )). + +%-------------------------------------------------------------------------- |