X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FRNG009-5.ma;h=ba7cb110f45101af0c542e201d2ce9784b9ae0a3;hb=5fee26d2afb3a67370c92481bfbfdbd9ebed741e;hp=c54e35210b05514cc2e9ba8bb054fa46093c4932;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/RNG009-5.ma b/helm/software/matita/contribs/ng_TPTP/RNG009-5.ma index c54e35210..ba7cb110f 100644 --- a/helm/software/matita/contribs/ng_TPTP/RNG009-5.ma +++ b/helm/software/matita/contribs/ng_TPTP/RNG009-5.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : RNG009-5 : TPTP v3.2.0. Released v1.0.0. *) +(* File : RNG009-5 : TPTP v3.7.0. Released v1.0.0. *) (* Domain : Ring Theory *) @@ -38,7 +38,7 @@ include "logic/equality.ma". (* Status : Unsatisfiable *) -(* Rating : 0.50 v3.1.0, 0.44 v2.7.0, 0.36 v2.6.0, 0.17 v2.5.0, 0.25 v2.4.0, 0.00 v2.2.1, 0.67 v2.2.0, 0.71 v2.1.0, 1.00 v2.0.0 *) +(* Rating : 0.56 v3.4.0, 0.62 v3.3.0, 0.50 v3.1.0, 0.44 v2.7.0, 0.36 v2.6.0, 0.17 v2.5.0, 0.25 v2.4.0, 0.00 v2.2.1, 0.67 v2.2.0, 0.71 v2.1.0, 1.00 v2.0.0 *) (* Syntax : Number of clauses : 9 ( 0 non-Horn; 9 unit; 1 RR) *) @@ -68,7 +68,7 @@ include "logic/equality.ma". (* ----Associativity of product *) ntheorem prove_commutativity: - ∀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. @@ -82,27 +82,28 @@ ntheorem prove_commutativity: ∀H4:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply (add X Y) Z) (add (multiply X Z) (multiply Y Z)). ∀H5:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply X (add Y Z)) (add (multiply X Y) (multiply X Z)). ∀H6:∀X:Univ.eq Univ (add X (additive_inverse X)) additive_identity. -∀H7:∀X:Univ.eq Univ (add X additive_identity) X.eq Univ (multiply a b) (multiply b a) +∀H7:∀X:Univ.eq Univ (add X additive_identity) X.eq Univ (multiply a b) (multiply b a)) . -#Univ. -#X. -#Y. -#Z. -#a. -#add. -#additive_identity. -#additive_inverse. -#b. -#multiply. -#H0. -#H1. -#H2. -#H3. -#H4. -#H5. -#H6. -#H7. -nauto by H0,H1,H2,H3,H4,H5,H6,H7; +#Univ ##. +#X ##. +#Y ##. +#Z ##. +#a ##. +#add ##. +#additive_identity ##. +#additive_inverse ##. +#b ##. +#multiply ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +#H4 ##. +#H5 ##. +#H6 ##. +#H7 ##. +nauto by H0,H1,H2,H3,H4,H5,H6,H7 ##; +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)