X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;ds=sidebyside;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FGRP162-1.ma;h=0f58a509f58a59c2ae05ffd79419b3b2cafa7770;hb=02e8b3eb9d2a8a3bb3942c41b47b6ac048efd5be;hp=c1c487fb5a8307affec7d402664e574db02fa7a6;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/GRP162-1.ma b/helm/software/matita/contribs/ng_TPTP/GRP162-1.ma index c1c487fb5..0f58a509f 100644 --- a/helm/software/matita/contribs/ng_TPTP/GRP162-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/GRP162-1.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : GRP162-1 : TPTP v3.2.0. Bugfixed v1.2.1. *) +(* File : GRP162-1 : TPTP v3.7.0. Bugfixed v1.2.1. *) (* Domain : Group Theory (Lattice Ordered) *) @@ -56,7 +56,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : GRP004-0 : TPTP v3.2.0. Released v1.0.0. *) +(* File : GRP004-0 : TPTP v3.7.0. Released v1.0.0. *) (* Domain : Group Theory *) @@ -80,7 +80,7 @@ include "logic/equality.ma". (* Syntax : Number of clauses : 3 ( 0 non-Horn; 3 unit; 0 RR) *) -(* Number of literals : 3 ( 3 equality) *) +(* Number of atoms : 3 ( 3 equality) *) (* Maximal clause size : 1 ( 1 average) *) @@ -122,7 +122,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : GRP004-2 : TPTP v3.2.0. Bugfixed v1.2.0. *) +(* File : GRP004-2 : TPTP v3.7.0. Bugfixed v1.2.0. *) (* Domain : Group Theory (Lattice Ordered) *) @@ -144,7 +144,7 @@ include "logic/equality.ma". (* Syntax : Number of clauses : 12 ( 0 non-Horn; 12 unit; 0 RR) *) -(* Number of literals : 12 ( 12 equality) *) +(* Number of atoms : 12 ( 12 equality) *) (* Maximal clause size : 1 ( 1 average) *) @@ -168,7 +168,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) ntheorem prove_ax_transa: - ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. ∀a:Univ. ∀b:Univ. ∀c:Univ. @@ -193,38 +193,39 @@ ntheorem prove_ax_transa: ∀H13:∀X:Univ.∀Y:Univ.eq Univ (greatest_lower_bound X Y) (greatest_lower_bound Y X). ∀H14:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply (multiply X Y) Z) (multiply X (multiply Y Z)). ∀H15:∀X:Univ.eq Univ (multiply (inverse X) X) identity. -∀H16:∀X:Univ.eq Univ (multiply identity X) X.eq Univ (least_upper_bound a c) c +∀H16:∀X:Univ.eq Univ (multiply identity X) X.eq Univ (least_upper_bound a c) c) . -#Univ. -#X. -#Y. -#Z. -#a. -#b. -#c. -#greatest_lower_bound. -#identity. -#inverse. -#least_upper_bound. -#multiply. -#H0. -#H1. -#H2. -#H3. -#H4. -#H5. -#H6. -#H7. -#H8. -#H9. -#H10. -#H11. -#H12. -#H13. -#H14. -#H15. -#H16. -nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9,H10,H11,H12,H13,H14,H15,H16; +#Univ ##. +#X ##. +#Y ##. +#Z ##. +#a ##. +#b ##. +#c ##. +#greatest_lower_bound ##. +#identity ##. +#inverse ##. +#least_upper_bound ##. +#multiply ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +#H4 ##. +#H5 ##. +#H6 ##. +#H7 ##. +#H8 ##. +#H9 ##. +#H10 ##. +#H11 ##. +#H12 ##. +#H13 ##. +#H14 ##. +#H15 ##. +#H16 ##. +nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9,H10,H11,H12,H13,H14,H15,H16 ##; +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)