X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FBOO025-1.ma;h=152a0bd06fae83c941202151534fb3882fc7d69d;hb=395bcb2796cb9edcdb792579341c2271a8d1adaf;hp=a502cb58f1d0c856b1823c1b4060da0ffbdefec9;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/BOO025-1.ma b/helm/software/matita/contribs/ng_TPTP/BOO025-1.ma index a502cb58f..152a0bd06 100644 --- a/helm/software/matita/contribs/ng_TPTP/BOO025-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/BOO025-1.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : BOO025-1 : TPTP v3.2.0. Released v2.2.0. *) +(* File : BOO025-1 : TPTP v3.7.0. Released v2.2.0. *) (* Domain : Boolean Algebra *) @@ -28,7 +28,7 @@ include "logic/equality.ma". (* Status : Unsatisfiable *) -(* Rating : 0.14 v3.2.0, 0.07 v3.1.0, 0.11 v2.7.0, 0.00 v2.2.1 *) +(* Rating : 0.11 v3.4.0, 0.12 v3.3.0, 0.14 v3.2.0, 0.07 v3.1.0, 0.11 v2.7.0, 0.00 v2.2.1 *) (* Syntax : Number of clauses : 8 ( 0 non-Horn; 8 unit; 1 RR) *) @@ -54,7 +54,7 @@ include "logic/equality.ma". (* ----Denial of conclusion: *) ntheorem prove_equal_identity: - ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. ∀a:Univ. ∀add:∀_:Univ.∀_:Univ.Univ. ∀b:Univ. @@ -68,27 +68,28 @@ ntheorem prove_equal_identity: ∀H3:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (pixley X Y Z) (add (multiply X (inverse Y)) (add (multiply X Z) (multiply (inverse Y) Z))). ∀H4:∀X:Univ.eq Univ (add X (inverse X)) n1. ∀H5:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply X (add Y Z)) (add (multiply Y X) (multiply Z X)). -∀H6:∀X:Univ.∀Y:Univ.eq Univ (multiply (add X Y) Y) Y.eq Univ (multiply b (inverse b)) (multiply a (inverse a)) +∀H6:∀X:Univ.∀Y:Univ.eq Univ (multiply (add X Y) Y) Y.eq Univ (multiply b (inverse b)) (multiply a (inverse a))) . -#Univ. -#X. -#Y. -#Z. -#a. -#add. -#b. -#inverse. -#multiply. -#n1. -#pixley. -#H0. -#H1. -#H2. -#H3. -#H4. -#H5. -#H6. -nauto by H0,H1,H2,H3,H4,H5,H6; +#Univ ##. +#X ##. +#Y ##. +#Z ##. +#a ##. +#add ##. +#b ##. +#inverse ##. +#multiply ##. +#n1 ##. +#pixley ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +#H4 ##. +#H5 ##. +#H6 ##. +nauto by H0,H1,H2,H3,H4,H5,H6 ##; +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)