X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FRNG031-7.ma;h=149a67003e4d86b6edb6f0cf78d5834d8d00a150;hb=601baed778a190b580982b588ebe49ba3f762b30;hp=36c7034e662f1b30207b9fbec8d345daf58a1155;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/RNG031-7.ma b/helm/software/matita/contribs/ng_TPTP/RNG031-7.ma index 36c7034e6..149a67003 100644 --- a/helm/software/matita/contribs/ng_TPTP/RNG031-7.ma +++ b/helm/software/matita/contribs/ng_TPTP/RNG031-7.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : RNG031-7 : TPTP v3.2.0. Released v1.0.0. *) +(* File : RNG031-7 : TPTP v3.7.0. Released v1.0.0. *) (* Domain : Ring Theory (Right alternative) *) @@ -24,7 +24,7 @@ include "logic/equality.ma". (* Status : Satisfiable *) -(* Rating : 0.33 v3.2.0, 0.67 v3.1.0, 0.33 v2.6.0, 0.67 v2.5.0, 1.00 v2.0.0 *) +(* Rating : 0.67 v3.3.0, 0.33 v3.2.0, 0.67 v3.1.0, 0.33 v2.6.0, 0.67 v2.5.0, 1.00 v2.0.0 *) (* Syntax : Number of clauses : 22 ( 0 non-Horn; 22 unit; 1 RR) *) @@ -82,7 +82,7 @@ include "logic/equality.ma". (* ----Commutator *) ntheorem prove_conjecture_2: - ∀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. @@ -111,42 +111,43 @@ ntheorem prove_conjecture_2: ∀H17:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply X (add Y (additive_inverse Z))) (add (multiply X Y) (additive_inverse (multiply X Z))). ∀H18:∀X:Univ.∀Y:Univ.eq Univ (multiply X (additive_inverse Y)) (additive_inverse (multiply X Y)). ∀H19:∀X:Univ.∀Y:Univ.eq Univ (multiply (additive_inverse X) Y) (additive_inverse (multiply X Y)). -∀H20:∀X:Univ.∀Y:Univ.eq Univ (multiply (additive_inverse X) (additive_inverse Y)) (multiply X Y).eq Univ (multiply (multiply (multiply (associator x x y) (associator x x y)) x) (multiply (associator x x y) (associator x x y))) additive_identity +∀H20:∀X:Univ.∀Y:Univ.eq Univ (multiply (additive_inverse X) (additive_inverse Y)) (multiply X Y).eq Univ (multiply (multiply (multiply (associator x x y) (associator x x y)) x) (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. -#H14. -#H15. -#H16. -#H17. -#H18. -#H19. -#H20. -nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9,H10,H11,H12,H13,H14,H15,H16,H17,H18,H19,H20; +#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 ##. +#H14 ##. +#H15 ##. +#H16 ##. +#H17 ##. +#H18 ##. +#H19 ##. +#H20 ##. +nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9,H10,H11,H12,H13,H14,H15,H16,H17,H18,H19,H20 ##; +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)