X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FRNG007-4.ma;h=26283db2e277f1efbc950f31b65e19f1132845fe;hb=f8d45b2e4fa7817d7ef8312b3bb8a7439bd7fb8c;hp=aeb930e1df56ff6f591157b33a33893ab0d7120a;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/RNG007-4.ma b/helm/software/matita/contribs/ng_TPTP/RNG007-4.ma index aeb930e1d..26283db2e 100644 --- a/helm/software/matita/contribs/ng_TPTP/RNG007-4.ma +++ b/helm/software/matita/contribs/ng_TPTP/RNG007-4.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : RNG007-4 : TPTP v3.2.0. Released v1.0.0. *) +(* File : RNG007-4 : TPTP v3.7.0. Released v1.0.0. *) (* Domain : Ring Theory *) @@ -52,7 +52,7 @@ 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 *) @@ -74,7 +74,7 @@ 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) *) @@ -118,7 +118,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) ntheorem prove_inverse: - ∀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. @@ -138,33 +138,34 @@ ntheorem prove_inverse: ∀H11:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply (add X Y) Z) (add (multiply X Z) (multiply Y Z)). ∀H12:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply X (add Y Z)) (add (multiply X Y) (multiply X Z)). ∀H13:∀X:Univ.eq Univ (add (additive_inverse X) X) additive_identity. -∀H14:∀X:Univ.eq Univ (add additive_identity X) X.eq Univ (add a a) additive_identity +∀H14:∀X:Univ.eq Univ (add additive_identity X) X.eq Univ (add a a) additive_identity) . -#Univ. -#X. -#Y. -#Z. -#a. -#add. -#additive_identity. -#additive_inverse. -#multiply. -#H0. -#H1. -#H2. -#H3. -#H4. -#H5. -#H6. -#H7. -#H8. -#H9. -#H10. -#H11. -#H12. -#H13. -#H14. -nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9,H10,H11,H12,H13,H14; +#Univ ##. +#X ##. +#Y ##. +#Z ##. +#a ##. +#add ##. +#additive_identity ##. +#additive_inverse ##. +#multiply ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +#H4 ##. +#H5 ##. +#H6 ##. +#H7 ##. +#H8 ##. +#H9 ##. +#H10 ##. +#H11 ##. +#H12 ##. +#H13 ##. +#H14 ##. +nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9,H10,H11,H12,H13,H14 ##; +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)