X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FBOO015-4.ma;h=3290b9c763a574eb211664283da5c0e2b698df4e;hb=2b649ad5e3d7413b795fe86bdf7fe6a5c0b9c194;hp=6688f1c7943a25d5ee560fd097fcb765f3eda177;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/BOO015-4.ma b/helm/software/matita/contribs/ng_TPTP/BOO015-4.ma index 6688f1c79..3290b9c76 100644 --- a/helm/software/matita/contribs/ng_TPTP/BOO015-4.ma +++ b/helm/software/matita/contribs/ng_TPTP/BOO015-4.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : BOO015-4 : TPTP v3.2.0. Released v1.1.0. *) +(* File : BOO015-4 : TPTP v3.7.0. Released v1.1.0. *) (* Domain : Boolean Algebra *) @@ -22,7 +22,7 @@ include "logic/equality.ma". (* Status : Unsatisfiable *) -(* Rating : 0.00 v2.2.1, 0.33 v2.2.0, 0.43 v2.1.0, 0.62 v2.0.0 *) +(* Rating : 0.11 v3.4.0, 0.00 v2.2.1, 0.33 v2.2.0, 0.43 v2.1.0, 0.62 v2.0.0 *) (* Syntax : Number of clauses : 9 ( 0 non-Horn; 9 unit; 1 RR) *) @@ -48,7 +48,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : BOO004-0 : TPTP v3.2.0. Released v1.0.0. *) +(* File : BOO004-0 : TPTP v3.7.0. Released v1.0.0. *) (* Domain : Boolean Algebra *) @@ -68,7 +68,7 @@ include "logic/equality.ma". (* Syntax : Number of clauses : 8 ( 0 non-Horn; 8 unit; 0 RR) *) -(* Number of literals : 8 ( 8 equality) *) +(* Number of atoms : 8 ( 8 equality) *) (* Maximal clause size : 1 ( 1 average) *) @@ -88,7 +88,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) ntheorem prove_c_inverse_is_d: - ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. ∀a:Univ. ∀add:∀_:Univ.∀_:Univ.Univ. ∀additive_identity:Univ. @@ -103,28 +103,29 @@ ntheorem prove_c_inverse_is_d: ∀H4:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply X (add Y Z)) (add (multiply X Y) (multiply X Z)). ∀H5:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (add X (multiply Y Z)) (multiply (add X Y) (add X Z)). ∀H6:∀X:Univ.∀Y:Univ.eq Univ (multiply X Y) (multiply Y X). -∀H7:∀X:Univ.∀Y:Univ.eq Univ (add X Y) (add Y X).eq Univ (inverse (multiply a b)) (add (inverse a) (inverse b)) +∀H7:∀X:Univ.∀Y:Univ.eq Univ (add X Y) (add Y X).eq Univ (inverse (multiply a b)) (add (inverse a) (inverse b))) . -#Univ. -#X. -#Y. -#Z. -#a. -#add. -#additive_identity. -#b. -#inverse. -#multiplicative_identity. -#multiply. -#H0. -#H1. -#H2. -#H3. -#H4. -#H5. -#H6. -#H7. -nauto by H0,H1,H2,H3,H4,H5,H6,H7; +#Univ ##. +#X ##. +#Y ##. +#Z ##. +#a ##. +#add ##. +#additive_identity ##. +#b ##. +#inverse ##. +#multiplicative_identity ##. +#multiply ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +#H4 ##. +#H5 ##. +#H6 ##. +#H7 ##. +nauto by H0,H1,H2,H3,H4,H5,H6,H7 ##; +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)