X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FRNG008-4.ma;h=2296df16083a46f59fb11f420c24005fe6e8f879;hb=34cdd4af2d7bdac3bab74a54123fbfcb02fa0403;hp=1f635f79dce37bd403fe923e41387a320ffab225;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/RNG008-4.ma b/helm/software/matita/contribs/ng_TPTP/RNG008-4.ma index 1f635f79d..2296df160 100644 --- a/helm/software/matita/contribs/ng_TPTP/RNG008-4.ma +++ b/helm/software/matita/contribs/ng_TPTP/RNG008-4.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : RNG008-4 : TPTP v3.2.0. Released v1.0.0. *) +(* File : RNG008-4 : TPTP v3.7.0. Released v1.0.0. *) (* Domain : Ring Theory *) @@ -28,7 +28,7 @@ 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 : 17 ( 0 non-Horn; 17 unit; 3 RR) *) @@ -54,7 +54,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : RNG002-0 : TPTP v3.2.0. Released v1.0.0. *) +(* File : RNG002-0 : TPTP v3.7.0. Released v1.0.0. *) (* Domain : Ring Theory *) @@ -76,7 +76,7 @@ include "logic/equality.ma". (* Syntax : Number of clauses : 14 ( 0 non-Horn; 14 unit; 1 RR) *) -(* Number of literals : 14 ( 14 equality) *) +(* Number of atoms : 14 ( 14 equality) *) (* Maximal clause size : 1 ( 1 average) *) @@ -120,7 +120,7 @@ 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. @@ -143,36 +143,37 @@ ntheorem prove_commutativity: ∀H12:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply (add X Y) Z) (add (multiply X Z) (multiply Y Z)). ∀H13:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply X (add Y Z)) (add (multiply X Y) (multiply X Z)). ∀H14:∀X:Univ.eq Univ (add (additive_inverse X) X) additive_identity. -∀H15:∀X:Univ.eq Univ (add additive_identity X) X.eq Univ (multiply b a) c +∀H15:∀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. -#H11. -#H12. -#H13. -#H14. -#H15. -nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9,H10,H11,H12,H13,H14,H15; +#Univ ##. +#X ##. +#Y ##. +#Z ##. +#a ##. +#add ##. +#additive_identity ##. +#additive_inverse ##. +#b ##. +#c ##. +#multiply ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +#H4 ##. +#H5 ##. +#H6 ##. +#H7 ##. +#H8 ##. +#H9 ##. +#H10 ##. +#H11 ##. +#H12 ##. +#H13 ##. +#H14 ##. +#H15 ##. +nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9,H10,H11,H12,H13,H14,H15 ##; +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)