X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;ds=sidebyside;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FBOO022-1.ma;h=2a675ac44c6af6bebf121080ac1f371e9e7132f7;hb=e880d6eab5e1700f4a625ddcd7d0fa8f0cce2dcc;hp=857f3440fe5d91d9701a103072677e99c732d9c8;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/BOO022-1.ma b/helm/software/matita/contribs/ng_TPTP/BOO022-1.ma index 857f3440f..2a675ac44 100644 --- a/helm/software/matita/contribs/ng_TPTP/BOO022-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/BOO022-1.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : BOO022-1 : TPTP v3.2.0. Released v2.2.0. *) +(* File : BOO022-1 : TPTP v3.7.0. Released v2.2.0. *) (* Domain : Boolean Algebra *) @@ -26,7 +26,7 @@ include "logic/equality.ma". (* Status : Unsatisfiable *) -(* Rating : 0.14 v3.2.0, 0.07 v3.1.0, 0.22 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, 0.22 v2.7.0, 0.00 v2.2.1 *) (* Syntax : Number of clauses : 7 ( 0 non-Horn; 7 unit; 1 RR) *) @@ -50,7 +50,7 @@ include "logic/equality.ma". (* ----Denial of conclusion: *) ntheorem prove_associativity_of_multiply: - ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. ∀a:Univ. ∀add:∀_:Univ.∀_:Univ.Univ. ∀b:Univ. @@ -64,27 +64,28 @@ ntheorem prove_associativity_of_multiply: ∀H2:∀X:Univ.∀Y:Univ.eq Univ (add (multiply X Y) Y) Y. ∀H3:∀X:Univ.eq Univ (add X (inverse X)) n1. ∀H4:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply X (add Y Z)) (add (multiply Y X) (multiply Z X)). -∀H5:∀X:Univ.∀Y:Univ.eq Univ (multiply (add X Y) Y) Y.eq Univ (multiply (multiply a b) c) (multiply a (multiply b c)) +∀H5:∀X:Univ.∀Y:Univ.eq Univ (multiply (add X Y) Y) Y.eq Univ (multiply (multiply a b) c) (multiply a (multiply b c))) . -#Univ. -#X. -#Y. -#Z. -#a. -#add. -#b. -#c. -#inverse. -#multiply. -#n0. -#n1. -#H0. -#H1. -#H2. -#H3. -#H4. -#H5. -nauto by H0,H1,H2,H3,H4,H5; +#Univ ##. +#X ##. +#Y ##. +#Z ##. +#a ##. +#add ##. +#b ##. +#c ##. +#inverse ##. +#multiply ##. +#n0 ##. +#n1 ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +#H4 ##. +#H5 ##. +nauto by H0,H1,H2,H3,H4,H5 ##; +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)