X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FRNG008-7.ma;h=814f4f672720978f8fe2b92f7d2082d61151db34;hb=a88be1ca42c0969dbab9a5c76240f5931df876d9;hp=ea1b110822bcbcd7faeb19213b6229ea68c9b55a;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/RNG008-7.ma b/helm/software/matita/contribs/ng_TPTP/RNG008-7.ma index ea1b11082..814f4f672 100644 --- a/helm/software/matita/contribs/ng_TPTP/RNG008-7.ma +++ b/helm/software/matita/contribs/ng_TPTP/RNG008-7.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : RNG008-7 : TPTP v3.2.0. Released v1.0.0. *) +(* File : RNG008-7 : TPTP v3.7.0. Released v1.0.0. *) (* Domain : Ring Theory *) @@ -34,7 +34,7 @@ include "logic/equality.ma". (* Status : Unsatisfiable *) -(* Rating : 0.07 v3.1.0, 0.11 v2.7.0, 0.00 v2.2.1, 0.22 v2.2.0, 0.29 v2.1.0, 0.25 v2.0.0 *) +(* Rating : 0.00 v3.3.0, 0.07 v3.1.0, 0.11 v2.7.0, 0.00 v2.2.1, 0.22 v2.2.0, 0.29 v2.1.0, 0.25 v2.0.0 *) (* Syntax : Number of clauses : 12 ( 0 non-Horn; 12 unit; 2 RR) *) @@ -60,7 +60,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : RNG005-0 : TPTP v3.2.0. Released v1.0.0. *) +(* File : RNG005-0 : TPTP v3.7.0. Released v1.0.0. *) (* Domain : Ring Theory *) @@ -82,7 +82,7 @@ include "logic/equality.ma". (* Syntax : Number of clauses : 9 ( 0 non-Horn; 9 unit; 0 RR) *) -(* Number of literals : 9 ( 9 equality) *) +(* Number of atoms : 9 ( 9 equality) *) (* Maximal clause size : 1 ( 1 average) *) @@ -114,7 +114,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) ntheorem prove_commutativity: - ∀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. @@ -132,31 +132,32 @@ ntheorem prove_commutativity: ∀H7:∀X:Univ.eq Univ (add X (additive_inverse X)) additive_identity. ∀H8:∀X:Univ.eq Univ (add (additive_inverse X) X) additive_identity. ∀H9:∀X:Univ.eq Univ (add X additive_identity) X. -∀H10:∀X:Univ.eq Univ (add additive_identity X) X.eq Univ (multiply b a) c +∀H10:∀X:Univ.eq Univ (add additive_identity X) X.eq Univ (multiply b a) c) . -#Univ. -#X. -#Y. -#Z. -#a. -#add. -#additive_identity. -#additive_inverse. -#b. -#c. -#multiply. -#H0. -#H1. -#H2. -#H3. -#H4. -#H5. -#H6. -#H7. -#H8. -#H9. -#H10. -nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9,H10; +#Univ ##. +#X ##. +#Y ##. +#Z ##. +#a ##. +#add ##. +#additive_identity ##. +#additive_inverse ##. +#b ##. +#c ##. +#multiply ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +#H4 ##. +#H5 ##. +#H6 ##. +#H7 ##. +#H8 ##. +#H9 ##. +#H10 ##. +nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9,H10 ##; +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)