X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FBOO001-1.ma;h=4723b846e72b3f0f5dede046766441a2af00527c;hb=e880d6eab5e1700f4a625ddcd7d0fa8f0cce2dcc;hp=265fa9fa10d78e34b139d79f00dd09039f6c2734;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/BOO001-1.ma b/helm/software/matita/contribs/ng_TPTP/BOO001-1.ma index 265fa9fa1..4723b846e 100644 --- a/helm/software/matita/contribs/ng_TPTP/BOO001-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/BOO001-1.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : BOO001-1 : TPTP v3.2.0. Released v1.0.0. *) +(* File : BOO001-1 : TPTP v3.7.0. Released v1.0.0. *) (* Domain : Boolean Algebra (Ternary) *) @@ -48,7 +48,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : BOO001-0 : TPTP v3.2.0. Released v1.0.0. *) +(* File : BOO001-0 : TPTP v3.7.0. Released v1.0.0. *) (* Domain : Algebra (Ternary Boolean) *) @@ -70,7 +70,7 @@ include "logic/equality.ma". (* Syntax : Number of clauses : 5 ( 0 non-Horn; 5 unit; 0 RR) *) -(* Number of literals : 5 ( 5 equality) *) +(* Number of atoms : 5 ( 5 equality) *) (* Maximal clause size : 1 ( 1 average) *) @@ -94,7 +94,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) ntheorem prove_inverse_is_self_cancelling: - ∀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. ∀inverse:∀_:Univ.Univ. ∀multiply:∀_:Univ.∀_:Univ.∀_:Univ.Univ. @@ -102,23 +102,24 @@ ntheorem prove_inverse_is_self_cancelling: ∀H1:∀X:Univ.∀Y:Univ.eq Univ (multiply (inverse Y) Y X) X. ∀H2:∀X:Univ.∀Y:Univ.eq Univ (multiply X X Y) X. ∀H3:∀X:Univ.∀Y:Univ.eq Univ (multiply Y X X) X. -∀H4:∀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 (inverse (inverse a)) a +∀H4:∀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 (inverse (inverse a)) a) . -#Univ. -#V. -#W. -#X. -#Y. -#Z. -#a. -#inverse. -#multiply. -#H0. -#H1. -#H2. -#H3. -#H4. -nauto by H0,H1,H2,H3,H4; +#Univ ##. +#V ##. +#W ##. +#X ##. +#Y ##. +#Z ##. +#a ##. +#inverse ##. +#multiply ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +#H4 ##. +nauto by H0,H1,H2,H3,H4 ##; +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)