X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;ds=sidebyside;f=matita%2Fmatita%2Fcontribs%2Fng_TPTP%2FBOO091-1.ma;fp=matita%2Fmatita%2Fcontribs%2Fng_TPTP%2FBOO091-1.ma;h=300e0a99bf00db68b7d81dd207a794b3773c1e8c;hb=2c01ff6094173915e7023076ea48b5804dca7778;hp=0000000000000000000000000000000000000000;hpb=a050e3f80d7ea084ce0184279af98e8251c7d2a6;p=helm.git diff --git a/matita/matita/contribs/ng_TPTP/BOO091-1.ma b/matita/matita/contribs/ng_TPTP/BOO091-1.ma new file mode 100644 index 000000000..300e0a99b --- /dev/null +++ b/matita/matita/contribs/ng_TPTP/BOO091-1.ma @@ -0,0 +1,65 @@ +include "logic/equality.ma". + +(* Inclusion of: BOO091-1.p *) + +(* -------------------------------------------------------------------------- *) + +(* File : BOO091-1 : TPTP v3.7.0. Released v2.6.0. *) + +(* Domain : Boolean Algebra *) + +(* Problem : Axiom C8 for Boolean algebra in the Sheffer stroke, part 1 *) + +(* Version : [EF+02] axioms. *) + +(* English : *) + +(* Refs : [EF+02] Ernst et al. (2002), More First-order Test Problems in *) + +(* : [MV+02] McCune et al. (2002), Short Single Axioms for Boolean *) + +(* Source : [TPTP] *) + +(* Names : *) + +(* Status : Unknown *) + +(* Rating : 1.00 v2.6.0 *) + +(* Syntax : Number of clauses : 2 ( 0 non-Horn; 2 unit; 1 RR) *) + +(* Number of atoms : 2 ( 2 equality) *) + +(* Maximal clause size : 1 ( 1 average) *) + +(* Number of predicates : 1 ( 0 propositional; 2-2 arity) *) + +(* Number of functors : 3 ( 2 constant; 0-2 arity) *) + +(* Number of variables : 3 ( 1 singleton) *) + +(* Maximal term depth : 5 ( 2 average) *) + +(* Comments : A UEQ part of BOO047-1 *) + +(* -------------------------------------------------------------------------- *) +ntheorem prove_meredith_2_basis_1: + (∀Univ:Type.∀A:Univ.∀B:Univ.∀C:Univ. +∀a:Univ. +∀b:Univ. +∀nand:∀_:Univ.∀_:Univ.Univ. +∀H0:∀A:Univ.∀B:Univ.∀C:Univ.eq Univ (nand (nand (nand A (nand A B)) A) (nand B (nand C A))) B.eq Univ (nand (nand a a) (nand b a)) a) +. +#Univ ##. +#A ##. +#B ##. +#C ##. +#a ##. +#b ##. +#nand ##. +#H0 ##. +nauto by H0 ##; +ntry (nassumption) ##; +nqed. + +(* -------------------------------------------------------------------------- *)