X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FRNG030-6.ma;h=28331ed64e58f60b5f295c8e9491aabb1b4f483a;hb=f538a0b46ba4164a21a76e47a6ed3b3e9deb5041;hp=7d136d32ca4fbe5243a33adb5e7ae0188711551b;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/RNG030-6.ma b/helm/software/matita/contribs/ng_TPTP/RNG030-6.ma index 7d136d32c..28331ed64 100644 --- a/helm/software/matita/contribs/ng_TPTP/RNG030-6.ma +++ b/helm/software/matita/contribs/ng_TPTP/RNG030-6.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : RNG030-6 : TPTP v3.2.0. Released v1.0.0. *) +(* File : RNG030-6 : TPTP v3.7.0. Released v1.0.0. *) (* Domain : Ring Theory (Right alternative) *) @@ -16,11 +16,13 @@ include "logic/equality.ma". (* Refs : [Ste87] Stevens (1987), Some Experiments in Nonassociative Rin *) +(* : [Oto07] Otop (2007), Solution to some Right Alternative Ring P *) + (* Source : [Ste87] *) (* Names : Conjecture 1 [Ste87] *) -(* Status : Open *) +(* Status : Satisfiable *) (* Rating : 1.00 v2.0.0 *) @@ -76,7 +78,7 @@ include "logic/equality.ma". (* ----Commutator *) ntheorem prove_conjecture_1: - ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. ∀add:∀_:Univ.∀_:Univ.Univ. ∀additive_identity:Univ. ∀additive_inverse:∀_:Univ.Univ. @@ -98,35 +100,36 @@ ntheorem prove_conjecture_1: ∀H10:∀X:Univ.eq Univ (add X additive_identity) X. ∀H11:∀X:Univ.eq Univ (add additive_identity X) X. ∀H12:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (add X (add Y Z)) (add (add X Y) Z). -∀H13:∀X:Univ.∀Y:Univ.eq Univ (add X Y) (add Y X).eq Univ (add (multiply (associator x x y) (multiply (associator x x y) (associator x x y))) (multiply (associator x x y) (multiply (associator x x y) (associator x x y)))) additive_identity +∀H13:∀X:Univ.∀Y:Univ.eq Univ (add X Y) (add Y X).eq Univ (add (multiply (associator x x y) (multiply (associator x x y) (associator x x y))) (multiply (associator x x y) (multiply (associator x x y) (associator x x y)))) additive_identity) . -#Univ. -#X. -#Y. -#Z. -#add. -#additive_identity. -#additive_inverse. -#associator. -#commutator. -#multiply. -#x. -#y. -#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 ##. +#add ##. +#additive_identity ##. +#additive_inverse ##. +#associator ##. +#commutator ##. +#multiply ##. +#x ##. +#y ##. +#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. (* -------------------------------------------------------------------------- *)