X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FGRP436-1.ma;fp=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FGRP436-1.ma;h=c84110d2690750def9af3956c097222329e1f201;hb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;hp=0000000000000000000000000000000000000000;hpb=b7587a7dd68463086e8a6b7c14f10c1dc33f64ba;p=helm.git

diff --git a/helm/software/matita/contribs/ng_TPTP/GRP436-1.ma b/helm/software/matita/contribs/ng_TPTP/GRP436-1.ma
new file mode 100644
index 000000000..c84110d26
--- /dev/null
+++ b/helm/software/matita/contribs/ng_TPTP/GRP436-1.ma
@@ -0,0 +1,65 @@
+include "logic/equality.ma".
+
+(* Inclusion of: GRP436-1.p *)
+
+(* -------------------------------------------------------------------------- *)
+
+(*  File     : GRP436-1 : TPTP v3.2.0. Released v2.6.0. *)
+
+(*  Domain   : Group Theory *)
+
+(*  Problem  : Axiom for group theory, in product & inverse, part 1 *)
+
+(*  Version  : [McC93] (equality) axioms. *)
+
+(*  English  :  *)
+
+(*  Refs     : [McC93] McCune (1993), Single Axioms for Groups and Abelian Gr *)
+
+(*  Source   : [TPTP] *)
+
+(*  Names    :  *)
+
+(*  Status   : Unsatisfiable *)
+
+(*  Rating   : 0.07 v3.1.0, 0.11 v2.7.0, 0.00 v2.6.0 *)
+
+(*  Syntax   : Number of clauses     :    2 (   0 non-Horn;   2 unit;   1 RR) *)
+
+(*             Number of atoms       :    2 (   2 equality) *)
+
+(*             Maximal clause size   :    1 (   1 average) *)
+
+(*             Number of predicates  :    1 (   0 propositional; 2-2 arity) *)
+
+(*             Number of functors    :    4 (   2 constant; 0-2 arity) *)
+
+(*             Number of variables   :    4 (   0 singleton) *)
+
+(*             Maximal term depth    :    9 (   4 average) *)
+
+(*  Comments : A UEQ part of GRP060-1 *)
+
+(* -------------------------------------------------------------------------- *)
+ntheorem prove_these_axioms_1:
+ ∀Univ:Type.∀A:Univ.∀B:Univ.∀C:Univ.∀D:Univ.
+∀a1:Univ.
+∀b1:Univ.
+∀inverse:∀_:Univ.Univ.
+∀multiply:∀_:Univ.∀_:Univ.Univ.
+∀H0:∀A:Univ.∀B:Univ.∀C:Univ.∀D:Univ.eq Univ (multiply A (inverse (multiply B (multiply C (multiply (multiply (inverse C) (inverse (multiply D B))) A))))) D.eq Univ (multiply (inverse a1) a1) (multiply (inverse b1) b1)
+.
+#Univ.
+#A.
+#B.
+#C.
+#D.
+#a1.
+#b1.
+#inverse.
+#multiply.
+#H0.
+nauto by H0;
+nqed.
+
+(* -------------------------------------------------------------------------- *)