X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FBOO013-4.ma;h=2f4c46e5a86c31002ccfd23a23c0cc7e7055889f;hb=ddd6560f4e70ec3306d223738a441d5f1dd3eac9;hp=e8d4883d4a546161e4c9980c04cf75c02a338003;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/BOO013-4.ma b/helm/software/matita/contribs/ng_TPTP/BOO013-4.ma index e8d4883d4..2f4c46e5a 100644 --- a/helm/software/matita/contribs/ng_TPTP/BOO013-4.ma +++ b/helm/software/matita/contribs/ng_TPTP/BOO013-4.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : BOO013-4 : TPTP v3.2.0. Released v1.1.0. *) +(* File : BOO013-4 : TPTP v3.7.0. Released v1.1.0. *) (* Domain : Boolean Algebra *) @@ -48,7 +48,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : BOO004-0 : TPTP v3.2.0. Released v1.0.0. *) +(* File : BOO004-0 : TPTP v3.7.0. Released v1.0.0. *) (* Domain : Boolean Algebra *) @@ -68,7 +68,7 @@ include "logic/equality.ma". (* Syntax : Number of clauses : 8 ( 0 non-Horn; 8 unit; 0 RR) *) -(* Number of literals : 8 ( 8 equality) *) +(* Number of atoms : 8 ( 8 equality) *) (* Maximal clause size : 1 ( 1 average) *) @@ -88,7 +88,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) ntheorem prove_a_inverse_is_b: - ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. ∀a:Univ. ∀add:∀_:Univ.∀_:Univ.Univ. ∀additive_identity:Univ. @@ -105,30 +105,31 @@ ntheorem prove_a_inverse_is_b: ∀H6:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply X (add Y Z)) (add (multiply X Y) (multiply X Z)). ∀H7:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (add X (multiply Y Z)) (multiply (add X Y) (add X Z)). ∀H8:∀X:Univ.∀Y:Univ.eq Univ (multiply X Y) (multiply Y X). -∀H9:∀X:Univ.∀Y:Univ.eq Univ (add X Y) (add Y X).eq Univ b (inverse a) +∀H9:∀X:Univ.∀Y:Univ.eq Univ (add X Y) (add Y X).eq Univ b (inverse a)) . -#Univ. -#X. -#Y. -#Z. -#a. -#add. -#additive_identity. -#b. -#inverse. -#multiplicative_identity. -#multiply. -#H0. -#H1. -#H2. -#H3. -#H4. -#H5. -#H6. -#H7. -#H8. -#H9. -nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9; +#Univ ##. +#X ##. +#Y ##. +#Z ##. +#a ##. +#add ##. +#additive_identity ##. +#b ##. +#inverse ##. +#multiplicative_identity ##. +#multiply ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +#H4 ##. +#H5 ##. +#H6 ##. +#H7 ##. +#H8 ##. +#H9 ##. +nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9 ##; +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)