X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FBOO003-2.ma;h=1b2a2e6745b283ba9339ae5268b2691c8c2e5e39;hb=02e8b3eb9d2a8a3bb3942c41b47b6ac048efd5be;hp=7a827f432dd103a640464ea672e739b0406add68;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/BOO003-2.ma b/helm/software/matita/contribs/ng_TPTP/BOO003-2.ma index 7a827f432..1b2a2e674 100644 --- a/helm/software/matita/contribs/ng_TPTP/BOO003-2.ma +++ b/helm/software/matita/contribs/ng_TPTP/BOO003-2.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : BOO003-2 : TPTP v3.2.0. Released v1.0.0. *) +(* File : BOO003-2 : 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_a_times_a_is_a: - ∀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. @@ -108,33 +108,34 @@ ntheorem prove_a_times_a_is_a: ∀H10:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (add X (multiply Y Z)) (multiply (add X Y) (add X Z)). ∀H11:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (add (multiply X Y) Z) (multiply (add X Z) (add Y Z)). ∀H12:∀X:Univ.∀Y:Univ.eq Univ (multiply X Y) (multiply Y X). -∀H13:∀X:Univ.∀Y:Univ.eq Univ (add X Y) (add Y X).eq Univ (multiply a a) a +∀H13:∀X:Univ.∀Y:Univ.eq Univ (add X Y) (add Y X).eq Univ (multiply a a) a) . -#Univ. -#X. -#Y. -#Z. -#a. -#add. -#additive_identity. -#inverse. -#multiplicative_identity. -#multiply. -#H0. -#H1. -#H2. -#H3. -#H4. -#H5. -#H6. -#H7. -#H8. -#H9. -#H10. -#H11. -#H12. -#H13. -nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9,H10,H11,H12,H13; +#Univ ##. +#X ##. +#Y ##. +#Z ##. +#a ##. +#add ##. +#additive_identity ##. +#inverse ##. +#multiplicative_identity ##. +#multiply ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +#H4 ##. +#H5 ##. +#H6 ##. +#H7 ##. +#H8 ##. +#H9 ##. +#H10 ##. +#H11 ##. +#H12 ##. +#H13 ##. +nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9,H10,H11,H12,H13 ##; +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)