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[helm.git] / helm / software / matita / contribs / ng_TPTP / GRP012-4.ma

diff --git a/helm/software/matita/contribs/ng_TPTP/GRP012-4.ma b/helm/software/matita/contribs/ng_TPTP/GRP012-4.ma
index a56976bfaeb9aa8dc942bacfc2a2b609285494ef..5470aef47ec7087a1b142da0bbaab14f7c00484a 100644 (file)
--- a/helm/software/matita/contribs/ng_TPTP/GRP012-4.ma
+++ b/helm/software/matita/contribs/ng_TPTP/GRP012-4.ma
@@ -4,7 +4,7 @@ include "logic/equality.ma".
 
 (* -------------------------------------------------------------------------- *)
 
-(*  File     : GRP012-4 : TPTP v3.2.0. Released v1.0.0. *)
+(*  File     : GRP012-4 : TPTP v3.7.0. Released v1.0.0. *)
 
 (*  Domain   : Group Theory *)
 
@@ -50,7 +50,7 @@ include "logic/equality.ma".
 
 (* -------------------------------------------------------------------------- *)
 
-(*  File     : GRP004-0 : TPTP v3.2.0. Released v1.0.0. *)
+(*  File     : GRP004-0 : TPTP v3.7.0. Released v1.0.0. *)
 
 (*  Domain   : Group Theory *)
 
@@ -74,7 +74,7 @@ include "logic/equality.ma".
 
 (*  Syntax   : Number of clauses    :    3 (   0 non-Horn;   3 unit;   0 RR) *)
 
-(*             Number of literals   :    3 (   3 equality) *)
+(*             Number of atoms      :    3 (   3 equality) *)
 
 (*             Maximal clause size  :    1 (   1 average) *)
 
@@ -114,7 +114,7 @@ include "logic/equality.ma".
 
 (* ----Redundant two axioms *)
 ntheorem prove_inverse_of_product_is_product_of_inverses:
- ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ.
+ (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ.
 ∀a:Univ.
 ∀b:Univ.
 ∀identity:Univ.
@@ -124,23 +124,24 @@ ntheorem prove_inverse_of_product_is_product_of_inverses:
 ∀H1:∀X:Univ.eq Univ (multiply X identity) X.
 ∀H2:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply (multiply X Y) Z) (multiply X (multiply Y Z)).
 ∀H3:∀X:Univ.eq Univ (multiply (inverse X) X) identity.
-∀H4:∀X:Univ.eq Univ (multiply identity X) X.eq Univ (inverse (multiply a b)) (multiply (inverse b) (inverse a))
+∀H4:∀X:Univ.eq Univ (multiply identity X) X.eq Univ (inverse (multiply a b)) (multiply (inverse b) (inverse a)))
 .
-#Univ.
-#X.
-#Y.
-#Z.
-#a.
-#b.
-#identity.
-#inverse.
-#multiply.
-#H0.
-#H1.
-#H2.
-#H3.
-#H4.
-nauto by H0,H1,H2,H3,H4;
+#Univ ##.
+#X ##.
+#Y ##.
+#Z ##.
+#a ##.
+#b ##.
+#identity ##.
+#inverse ##.
+#multiply ##.
+#H0 ##.
+#H1 ##.
+#H2 ##.
+#H3 ##.
+#H4 ##.
+nauto by H0,H1,H2,H3,H4 ##;
+ntry (nassumption) ##;
 nqed.
 
 (* -------------------------------------------------------------------------- *)