X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FLCL155-1.ma;h=e8b05d2eb0b144afa491d249a2f16f0fff6ae82a;hb=601baed778a190b580982b588ebe49ba3f762b30;hp=aef193031a546d9ccf145c3cbb6d4df2c9204510;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/LCL155-1.ma b/helm/software/matita/contribs/ng_TPTP/LCL155-1.ma index aef193031..e8b05d2eb 100644 --- a/helm/software/matita/contribs/ng_TPTP/LCL155-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/LCL155-1.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : LCL155-1 : TPTP v3.2.0. Released v1.0.0. *) +(* File : LCL155-1 : TPTP v3.7.0. Released v1.0.0. *) (* Domain : Logic Calculi (Wajsberg Algebra) *) @@ -52,7 +52,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : LCL001-0 : TPTP v3.2.0. Released v1.0.0. *) +(* File : LCL001-0 : 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 : 4 ( 0 non-Horn; 4 unit; 0 RR) *) -(* Number of literals : 4 ( 4 equality) *) +(* Number of atoms : 4 ( 4 equality) *) (* Maximal clause size : 1 ( 1 average) *) @@ -100,7 +100,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : LCL001-2 : TPTP v3.2.0. Released v1.0.0. *) +(* File : LCL001-2 : TPTP v3.7.0. Released v1.0.0. *) (* Domain : Logic Calculi (Wajsberg Algebras) *) @@ -124,7 +124,7 @@ include "logic/equality.ma". (* Syntax : Number of clauses : 6 ( 0 non-Horn; 6 unit; 0 RR) *) -(* Number of literals : 6 ( 6 equality) *) +(* Number of atoms : 6 ( 6 equality) *) (* Maximal clause size : 1 ( 1 average) *) @@ -150,7 +150,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : LCL002-1 : TPTP v3.2.0. Released v1.0.0. *) +(* File : LCL002-1 : TPTP v3.7.0. Released v1.0.0. *) (* Domain : Logic Calculi (Wajsberg Algebras) *) @@ -174,7 +174,7 @@ include "logic/equality.ma". (* Syntax : Number of clauses : 6 ( 0 non-Horn; 6 unit; 1 RR) *) -(* Number of literals : 6 ( 6 equality) *) +(* Number of atoms : 6 ( 6 equality) *) (* Maximal clause size : 1 ( 1 average) *) @@ -200,7 +200,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) ntheorem prove_alternative_wajsberg_axiom: - ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. ∀myand:∀_:Univ.∀_:Univ.Univ. ∀and_star:∀_:Univ.∀_:Univ.Univ. ∀falsehood:Univ. @@ -225,38 +225,39 @@ ntheorem prove_alternative_wajsberg_axiom: ∀H12:∀X:Univ.∀Y:Univ.eq Univ (implies (implies (not X) (not Y)) (implies Y X)) truth. ∀H13:∀X:Univ.∀Y:Univ.eq Univ (implies (implies X Y) Y) (implies (implies Y X) X). ∀H14:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (implies (implies X Y) (implies (implies Y Z) (implies X Z))) truth. -∀H15:∀X:Univ.eq Univ (implies truth X) X.eq Univ (xor x x) falsehood +∀H15:∀X:Univ.eq Univ (implies truth X) X.eq Univ (xor x x) falsehood) . -#Univ. -#X. -#Y. -#Z. -#and. -#and_star. -#falsehood. -#implies. -#not. -#or. -#truth. -#x. -#xor. -#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 ##. +#myand ##. +#and_star ##. +#falsehood ##. +#implies ##. +#not ##. +#or ##. +#truth ##. +#x ##. +#xor ##. +#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. (* -------------------------------------------------------------------------- *)