(* -------------------------------------------------------------------------- *)
-(* File : GRP195-1 : TPTP v3.2.0. Released v2.2.0. *)
+(* File : GRP195-1 : TPTP v3.7.0. Released v2.2.0. *)
(* Domain : Group Theory (Semigroups) *)
(* Status : Unsatisfiable *)
-(* Rating : 0.00 v2.7.0, 0.09 v2.6.0, 0.17 v2.5.0, 0.00 v2.4.0, 0.00 v2.2.1 *)
+(* Rating : 0.11 v3.4.0, 0.12 v3.3.0, 0.00 v2.7.0, 0.09 v2.6.0, 0.17 v2.5.0, 0.00 v2.4.0, 0.00 v2.2.1 *)
(* Syntax : Number of clauses : 3 ( 0 non-Horn; 3 unit; 1 RR) *)
(* -------------------------------------------------------------------------- *)
-(* File : GRP008-0 : TPTP v3.2.0. Released v2.2.0. *)
+(* File : GRP008-0 : TPTP v3.7.0. Released v2.2.0. *)
(* Domain : Group Theory (Semigroups) *)
(* Syntax : Number of clauses : 1 ( 0 non-Horn; 1 unit; 0 RR) *)
-(* Number of literals : 1 ( 1 equality) *)
+(* Number of atoms : 1 ( 1 equality) *)
(* Maximal clause size : 1 ( 1 average) *)
(* ----Denial of conclusion: *)
ntheorem prove_this:
- ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ.
+ (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ.
∀a:Univ.
∀b:Univ.
∀multiply:∀_:Univ.∀_:Univ.Univ.
∀H0:∀X:Univ.∀Y:Univ.eq Univ (multiply X (multiply Y Y)) (multiply Y (multiply Y X)).
-∀H1:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply (multiply X Y) Z) (multiply X (multiply Y Z)).eq Univ (multiply a (multiply b (multiply a (multiply b (multiply a (multiply b (multiply a b))))))) (multiply a (multiply a (multiply a (multiply a (multiply b (multiply b (multiply b b)))))))
+∀H1:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply (multiply X Y) Z) (multiply X (multiply Y Z)).eq Univ (multiply a (multiply b (multiply a (multiply b (multiply a (multiply b (multiply a b))))))) (multiply a (multiply a (multiply a (multiply a (multiply b (multiply b (multiply b b))))))))
.
-#Univ.
-#X.
-#Y.
-#Z.
-#a.
-#b.
-#multiply.
-#H0.
-#H1.
-nauto by H0,H1;
+#Univ ##.
+#X ##.
+#Y ##.
+#Z ##.
+#a ##.
+#b ##.
+#multiply ##.
+#H0 ##.
+#H1 ##.
+nauto by H0,H1 ##;
+ntry (nassumption) ##;
nqed.
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