X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FLCL109-6.ma;h=e02b4dc11a38c06ef69b774a3fc3ef87990de579;hb=02e8b3eb9d2a8a3bb3942c41b47b6ac048efd5be;hp=3b9d1042c4681b8141a424241bd56736a3043d5b;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/LCL109-6.ma b/helm/software/matita/contribs/ng_TPTP/LCL109-6.ma index 3b9d1042c..e02b4dc11 100644 --- a/helm/software/matita/contribs/ng_TPTP/LCL109-6.ma +++ b/helm/software/matita/contribs/ng_TPTP/LCL109-6.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : LCL109-6 : TPTP v3.2.0. Released v1.0.0. *) +(* File : LCL109-6 : TPTP v3.7.0. Released v1.0.0. *) (* Domain : Logic Calculi (Wajsberg Algebra) *) @@ -30,7 +30,7 @@ include "logic/equality.ma". (* Status : Unsatisfiable *) -(* Rating : 0.14 v3.1.0, 0.11 v2.7.0, 0.09 v2.6.0, 0.17 v2.5.0, 0.00 v2.4.0, 0.00 v2.2.1, 0.67 v2.2.0, 0.71 v2.1.0, 0.88 v2.0.0 *) +(* Rating : 0.11 v3.4.0, 0.12 v3.3.0, 0.14 v3.1.0, 0.11 v2.7.0, 0.09 v2.6.0, 0.17 v2.5.0, 0.00 v2.4.0, 0.00 v2.2.1, 0.67 v2.2.0, 0.71 v2.1.0, 0.88 v2.0.0 *) (* Syntax : Number of clauses : 14 ( 0 non-Horn; 14 unit; 2 RR) *) @@ -56,7 +56,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : LCL002-0 : TPTP v3.2.0. Released v1.0.0. *) +(* File : LCL002-0 : TPTP v3.7.0. Released v1.0.0. *) (* Domain : Logic Calculi (Wajsberg Algebras) *) @@ -80,7 +80,7 @@ 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) *) @@ -112,7 +112,7 @@ include "logic/equality.ma". (* ----Include the definition of implies in terms of xor and and_star *) ntheorem prove_wajsberg_mv_4: - ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. ∀a:Univ. ∀and_star:∀_:Univ.∀_:Univ.Univ. ∀b:Univ. @@ -133,34 +133,35 @@ ntheorem prove_wajsberg_mv_4: ∀H9:∀X:Univ.eq Univ (and_star X truth) X. ∀H10:∀X:Univ.eq Univ (xor X X) falsehood. ∀H11:∀X:Univ.eq Univ (xor X falsehood) X. -∀H12:∀X:Univ.eq Univ (not X) (xor X truth).eq Univ (implies (implies (implies a b) (implies b a)) (implies b a)) truth +∀H12:∀X:Univ.eq Univ (not X) (xor X truth).eq Univ (implies (implies (implies a b) (implies b a)) (implies b a)) truth) . -#Univ. -#X. -#Y. -#Z. -#a. -#and_star. -#b. -#falsehood. -#implies. -#not. -#truth. -#xor. -#H0. -#H1. -#H2. -#H3. -#H4. -#H5. -#H6. -#H7. -#H8. -#H9. -#H10. -#H11. -#H12. -nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9,H10,H11,H12; +#Univ ##. +#X ##. +#Y ##. +#Z ##. +#a ##. +#and_star ##. +#b ##. +#falsehood ##. +#implies ##. +#not ##. +#truth ##. +#xor ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +#H4 ##. +#H5 ##. +#H6 ##. +#H7 ##. +#H8 ##. +#H9 ##. +#H10 ##. +#H11 ##. +#H12 ##. +nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9,H10,H11,H12 ##; +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)