X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FRNG032-7.ma;h=71ae5eba2dccd39f80ee91e2010b20a510888dc0;hb=bd112857523fc543c78cd29b74417585033ec464;hp=db423664a7f2ec2fc2ff943a8fdbe826c7553df6;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git

diff --git a/helm/software/matita/contribs/ng_TPTP/RNG032-7.ma b/helm/software/matita/contribs/ng_TPTP/RNG032-7.ma
index db423664a..71ae5eba2 100644
--- a/helm/software/matita/contribs/ng_TPTP/RNG032-7.ma
+++ b/helm/software/matita/contribs/ng_TPTP/RNG032-7.ma
@@ -4,7 +4,7 @@ include "logic/equality.ma".
 
 (* -------------------------------------------------------------------------- *)
 
-(*  File     : RNG032-7 : TPTP v3.2.0. Released v1.0.0. *)
+(*  File     : RNG032-7 : 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 3 [Ste87] *)
 
-(*  Status   : Open *)
+(*  Status   : Satisfiable *)
 
 (*  Rating   : 1.00 v2.0.0 *)
 
@@ -78,7 +80,7 @@ include "logic/equality.ma".
 
 (* ----Commutator  *)
 ntheorem prove_conjecture_3:
- ∀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.
@@ -107,42 +109,43 @@ ntheorem prove_conjecture_3:
 ∀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 (add (add (add (add (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)))) (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)))) (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
+∀H20:∀X:Univ.∀Y:Univ.eq Univ (multiply (additive_inverse X) (additive_inverse Y)) (multiply X Y).eq Univ (add (add (add (add (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)))) (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)))) (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.
-#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.
 
 (* -------------------------------------------------------------------------- *)