X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FBOO031-1.ma;h=1dff3e2861bc676325136df91d9a72b4bf340547;hb=72aa8b2087285826b14fc39a389632f0317c51b6;hp=35f2d1d134a9ed734fbf85902e7072be5c8e5e7c;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/BOO031-1.ma b/helm/software/matita/contribs/ng_TPTP/BOO031-1.ma index 35f2d1d13..1dff3e286 100644 --- a/helm/software/matita/contribs/ng_TPTP/BOO031-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/BOO031-1.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : BOO031-1 : TPTP v3.2.0. Released v2.2.0. *) +(* File : BOO031-1 : TPTP v3.7.0. Released v2.2.0. *) (* Domain : Boolean Algebra *) @@ -26,7 +26,7 @@ include "logic/equality.ma". (* Status : Unsatisfiable *) -(* Rating : 0.29 v3.2.0, 0.21 v3.1.0, 0.22 v2.7.0, 0.09 v2.6.0, 0.17 v2.5.0, 0.00 v2.4.0, 0.00 v2.2.1 *) +(* Rating : 0.22 v3.4.0, 0.25 v3.3.0, 0.29 v3.2.0, 0.21 v3.1.0, 0.22 v2.7.0, 0.09 v2.6.0, 0.17 v2.5.0, 0.00 v2.4.0, 0.00 v2.2.1 *) (* Syntax : Number of clauses : 12 ( 0 non-Horn; 12 unit; 1 RR) *) @@ -56,7 +56,7 @@ include "logic/equality.ma". (* ----Denial of conclusion: *) ntheorem prove_multiply_add_property: - ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ. ∀a:Univ. ∀add:∀_:Univ.∀_:Univ.Univ. ∀b:Univ. @@ -75,32 +75,33 @@ ntheorem prove_multiply_add_property: ∀H7:∀X:Univ.∀Y:Univ.eq Univ (multiply (add X (inverse X)) Y) Y. ∀H8:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (add (add (multiply X Y) (multiply Y Z)) Y) Y. ∀H9:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (add X (multiply Y (multiply X Z))) X. -∀H10:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (add (multiply X Y) (add (multiply Y Z) (multiply Z X))) (multiply (add X Y) (multiply (add Y Z) (add Z X))).eq Univ (multiply a (add b c)) (add (multiply b a) (multiply c a)) +∀H10:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (add (multiply X Y) (add (multiply Y Z) (multiply Z X))) (multiply (add X Y) (multiply (add Y Z) (add Z X))).eq Univ (multiply a (add b c)) (add (multiply b a) (multiply c a))) . -#Univ. -#X. -#Y. -#Z. -#a. -#add. -#b. -#c. -#inverse. -#multiply. -#n0. -#n1. -#H0. -#H1. -#H2. -#H3. -#H4. -#H5. -#H6. -#H7. -#H8. -#H9. -#H10. -nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9,H10; +#Univ ##. +#X ##. +#Y ##. +#Z ##. +#a ##. +#add ##. +#b ##. +#c ##. +#inverse ##. +#multiply ##. +#n0 ##. +#n1 ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +#H4 ##. +#H5 ##. +#H6 ##. +#H7 ##. +#H8 ##. +#H9 ##. +#H10 ##. +nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9,H10 ##; +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)