X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;ds=inline;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FBOO002-1.ma;h=6159ace45eaa155f1b6eaac8d5cb584e80a57625;hb=601baed778a190b580982b588ebe49ba3f762b30;hp=a2114731c86c830b473e989e3176692d3855e479;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/BOO002-1.ma b/helm/software/matita/contribs/ng_TPTP/BOO002-1.ma index a2114731c..6159ace45 100644 --- a/helm/software/matita/contribs/ng_TPTP/BOO002-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/BOO002-1.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : BOO002-1 : TPTP v3.2.0. Released v1.0.0. *) +(* File : BOO002-1 : TPTP v3.7.0. Released v1.0.0. *) (* Domain : Boolean Algebra (Ternary) *) @@ -36,7 +36,7 @@ include "logic/equality.ma". (* Status : Unsatisfiable *) -(* Rating : 0.07 v3.1.0, 0.00 v2.7.0, 0.09 v2.6.0, 0.00 v2.2.1, 0.33 v2.2.0, 0.43 v2.1.0, 0.38 v2.0.0 *) +(* Rating : 0.00 v3.3.0, 0.07 v3.1.0, 0.00 v2.7.0, 0.09 v2.6.0, 0.00 v2.2.1, 0.33 v2.2.0, 0.43 v2.1.0, 0.38 v2.0.0 *) (* Syntax : Number of clauses : 5 ( 0 non-Horn; 5 unit; 1 RR) *) @@ -68,7 +68,7 @@ include "logic/equality.ma". (* [++equal(multiply(X,Y,inverse(Y)),X)]). *) ntheorem prove_equation: - ∀Univ:Type.∀V:Univ.∀W:Univ.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀V:Univ.∀W:Univ.∀X:Univ.∀Y:Univ.∀Z:Univ. ∀a:Univ. ∀b:Univ. ∀inverse:∀_:Univ.Univ. @@ -76,23 +76,24 @@ ntheorem prove_equation: ∀H0:∀X:Univ.∀Y:Univ.eq Univ (multiply (inverse Y) Y X) X. ∀H1:∀X:Univ.∀Y:Univ.eq Univ (multiply X X Y) X. ∀H2:∀X:Univ.∀Y:Univ.eq Univ (multiply Y X X) X. -∀H3:∀V:Univ.∀W:Univ.∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply (multiply V W X) Y (multiply V W Z)) (multiply V W (multiply X Y Z)).eq Univ (multiply a (inverse a) b) b +∀H3:∀V:Univ.∀W:Univ.∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply (multiply V W X) Y (multiply V W Z)) (multiply V W (multiply X Y Z)).eq Univ (multiply a (inverse a) b) b) . -#Univ. -#V. -#W. -#X. -#Y. -#Z. -#a. -#b. -#inverse. -#multiply. -#H0. -#H1. -#H2. -#H3. -nauto by H0,H1,H2,H3; +#Univ ##. +#V ##. +#W ##. +#X ##. +#Y ##. +#Z ##. +#a ##. +#b ##. +#inverse ##. +#multiply ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +nauto by H0,H1,H2,H3 ##; +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)