X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FRNG031-6.ma;h=1943003f18bd1fe4bfe6e07cf8aeea525e655b7c;hb=bbf85ddcdfe0809fee0c6ca9812ce0da30c238af;hp=b082100836ca38da437d3ce1beee71fb216efe1c;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/RNG031-6.ma b/helm/software/matita/contribs/ng_TPTP/RNG031-6.ma index b08210083..1943003f1 100644 --- a/helm/software/matita/contribs/ng_TPTP/RNG031-6.ma +++ b/helm/software/matita/contribs/ng_TPTP/RNG031-6.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : RNG031-6 : TPTP v3.2.0. Released v1.0.0. *) +(* File : RNG031-6 : 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 : 15 ( 0 non-Horn; 15 unit; 1 RR) *) @@ -78,7 +78,7 @@ 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. @@ -100,35 +100,36 @@ ntheorem prove_conjecture_2: ∀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 (multiply (multiply (multiply (associator x x y) (associator x x y)) x) (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 (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. -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. (* -------------------------------------------------------------------------- *)