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Diffstat (limited to 'test/regress/regress0/tptp/Axioms/BOO004-0.ax')
| -rw-r--r-- | test/regress/regress0/tptp/Axioms/BOO004-0.ax | 48 |
1 files changed, 48 insertions, 0 deletions
diff --git a/test/regress/regress0/tptp/Axioms/BOO004-0.ax b/test/regress/regress0/tptp/Axioms/BOO004-0.ax new file mode 100644 index 000000000..e02b4c2f8 --- /dev/null +++ b/test/regress/regress0/tptp/Axioms/BOO004-0.ax @@ -0,0 +1,48 @@ +%-------------------------------------------------------------------------- +% File : BOO004-0 : TPTP v5.5.0. Released v1.0.0. +% Domain : Boolean Algebra +% Axioms : Boolean algebra (equality) axioms +% Version : [Ver94] (equality) axioms. +% English : + +% Refs : [Ver94] Veroff (1994), Problem Set +% Source : [Ver94] +% Names : + +% Status : Satisfiable +% Syntax : Number of clauses : 8 ( 0 non-Horn; 8 unit; 0 RR) +% Number of atoms : 8 ( 8 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 : 14 ( 0 singleton) +% Maximal term depth : 3 ( 2 average) +% SPC : + +% Comments : +%-------------------------------------------------------------------------- +cnf(commutativity_of_add,axiom, + ( add(X,Y) = add(Y,X) )). + +cnf(commutativity_of_multiply,axiom, + ( multiply(X,Y) = multiply(Y,X) )). + +cnf(distributivity1,axiom, + ( add(X,multiply(Y,Z)) = multiply(add(X,Y),add(X,Z)) )). + +cnf(distributivity2,axiom, + ( multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)) )). + +cnf(additive_id1,axiom, + ( add(X,additive_identity) = X )). + +cnf(multiplicative_id1,axiom, + ( multiply(X,multiplicative_identity) = X )). + +cnf(additive_inverse1,axiom, + ( add(X,inverse(X)) = multiplicative_identity )). + +cnf(multiplicative_inverse1,axiom, + ( multiply(X,inverse(X)) = additive_identity )). + +%-------------------------------------------------------------------------- |