X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FLCL164-1.ma;h=344bcf34910db5783d28d2ed5391cece8287b87f;hb=02e8b3eb9d2a8a3bb3942c41b47b6ac048efd5be;hp=71b33f1908c85c22f8acec1986c2359b8ff37155;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/LCL164-1.ma b/helm/software/matita/contribs/ng_TPTP/LCL164-1.ma index 71b33f190..344bcf349 100644 --- a/helm/software/matita/contribs/ng_TPTP/LCL164-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/LCL164-1.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : LCL164-1 : TPTP v3.2.0. Released v1.0.0. *) +(* File : LCL164-1 : TPTP v3.7.0. Released v1.0.0. *) (* Domain : Logic Calculi (Wajsberg Algebra) *) @@ -52,7 +52,7 @@ 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) *) @@ -76,7 +76,7 @@ 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) *) @@ -108,7 +108,7 @@ include "logic/equality.ma". (* ----Include the definition of implies in terms of xor and and_star *) ntheorem prove_wajsberg_axiom: - ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. ∀and_star:∀_:Univ.∀_:Univ.Univ. ∀falsehood:Univ. ∀implies:∀_:Univ.∀_:Univ.Univ. @@ -129,34 +129,35 @@ ntheorem prove_wajsberg_axiom: ∀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 (not x) (not y)) (implies y x)) truth +∀H12:∀X:Univ.eq Univ (not X) (xor X truth).eq Univ (implies (implies (not x) (not y)) (implies y x)) truth) . -#Univ. -#X. -#Y. -#Z. -#and_star. -#falsehood. -#implies. -#not. -#truth. -#x. -#xor. -#y. -#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 ##. +#and_star ##. +#falsehood ##. +#implies ##. +#not ##. +#truth ##. +#x ##. +#xor ##. +#y ##. +#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. (* -------------------------------------------------------------------------- *)