%------------------------------------------------------------------------------ % File : mult4 : JProver test formulae (2000) % Domain : Syntactic % Problem : % Version : Especial. % Problem formulation : Intuit. Valid Size 4 % English : % Refs : [SN00] S. Schmitt & A. Nogin: test module "jprover_tests.ml", % test formulas for JProver in MetaPRL, at % http://cvs.metaprl.org:12000/cvsweb/metaprl/theories/ % itt/jprover_tests.ml % Source : [SN00] % Names : % Status : Theorem % Rating : 0.00 v 1.0 % Syntax : Number of formulae : 1 ( 0 unit) % Number of atoms : 6 ( 0 equality) % Maximal formula depth : 7 ( 7 average) % Number of connectives : 10 ( 5 ~ ; 3 |; 2 &) % ( 0 <=>; 0 =>; 0 <=) % ( 0 <~>; 0 ~|; 0 ~&) % Number of predicates : 3 ( 3 propositional; 0-0 arity) % Number of functors : 0 ( 0 constant; --- arity) % Number of variables : 0 ( 0 singleton; 0 !; 0 ?) % Maximal term depth : 0 ( 0 average) % Comments : Generating muliply used subformulae, i.e. the negation-left % subformula has to be used times in a proof % : tptp2X -f ljt sch_mult.004.p %------------------------------------------------------------------------------ f(( % conjecture_name, conjecture. (( ~ ( ~ ( ( a & ( b & c ) ) v ( ( ~ a ) v ( ( ~ b ) v ( ~ c ) ) ) ) ) )) )). %------------------------------------------------------------------------------