X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FBOO016-2.ma;h=13d76bf1a3111d0603681abe4820fe83c747aee5;hb=ced2abc1e3fe84d5bbfa9ccb2ebf46f253279ebe;hp=d82ef6aba32730d3555ac7bfa71efa7aab96d491;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/BOO016-2.ma b/helm/software/matita/contribs/ng_TPTP/BOO016-2.ma index d82ef6aba..13d76bf1a 100644 --- a/helm/software/matita/contribs/ng_TPTP/BOO016-2.ma +++ b/helm/software/matita/contribs/ng_TPTP/BOO016-2.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : BOO016-2 : TPTP v3.2.0. Released v1.0.0. *) +(* File : BOO016-2 : TPTP v3.7.0. Released v1.0.0. *) (* Domain : Boolean Algebra *) @@ -48,7 +48,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : BOO003-0 : TPTP v3.2.0. Released v1.0.0. *) +(* File : BOO003-0 : TPTP v3.7.0. Released v1.0.0. *) (* Domain : Boolean Algebra *) @@ -68,7 +68,7 @@ include "logic/equality.ma". (* Syntax : Number of clauses : 14 ( 0 non-Horn; 14 unit; 0 RR) *) -(* Number of literals : 14 ( 14 equality) *) +(* Number of atoms : 14 ( 14 equality) *) (* Maximal clause size : 1 ( 1 average) *) @@ -88,7 +88,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) ntheorem prove_sum: - ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. ∀add:∀_:Univ.∀_:Univ.Univ. ∀additive_identity:Univ. ∀inverse:∀_:Univ.Univ. @@ -111,36 +111,37 @@ ntheorem prove_sum: ∀H11:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (add X (multiply Y Z)) (multiply (add X Y) (add X Z)). ∀H12:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (add (multiply X Y) Z) (multiply (add X Z) (add Y Z)). ∀H13:∀X:Univ.∀Y:Univ.eq Univ (multiply X Y) (multiply Y X). -∀H14:∀X:Univ.∀Y:Univ.eq Univ (add X Y) (add Y X).eq Univ (add x z) x +∀H14:∀X:Univ.∀Y:Univ.eq Univ (add X Y) (add Y X).eq Univ (add x z) x) . -#Univ. -#X. -#Y. -#Z. -#add. -#additive_identity. -#inverse. -#multiplicative_identity. -#multiply. -#x. -#y. -#z. -#H0. -#H1. -#H2. -#H3. -#H4. -#H5. -#H6. -#H7. -#H8. -#H9. -#H10. -#H11. -#H12. -#H13. -#H14. -nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9,H10,H11,H12,H13,H14; +#Univ ##. +#X ##. +#Y ##. +#Z ##. +#add ##. +#additive_identity ##. +#inverse ##. +#multiplicative_identity ##. +#multiply ##. +#x ##. +#y ##. +#z ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +#H4 ##. +#H5 ##. +#H6 ##. +#H7 ##. +#H8 ##. +#H9 ##. +#H10 ##. +#H11 ##. +#H12 ##. +#H13 ##. +#H14 ##. +nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9,H10,H11,H12,H13,H14 ##; +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)