X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FBOO028-1.ma;h=1c1024449d00be944590034dfdc025556afc55f5;hb=fd6372c8268d8dbe17810361bc870c6d8bcd5390;hp=346faaad0220e08aa389fc44afd5f10ab70c896b;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/BOO028-1.ma b/helm/software/matita/contribs/ng_TPTP/BOO028-1.ma index 346faaad0..1c1024449 100644 --- a/helm/software/matita/contribs/ng_TPTP/BOO028-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/BOO028-1.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : BOO028-1 : TPTP v3.2.0. Released v2.2.0. *) +(* File : BOO028-1 : TPTP v3.7.0. Released v2.2.0. *) (* Domain : Boolean Algebra *) @@ -26,7 +26,7 @@ include "logic/equality.ma". (* Status : Unsatisfiable *) -(* Rating : 0.14 v3.2.0, 0.07 v3.1.0, 0.00 v2.7.0, 0.09 v2.6.0, 0.00 v2.2.1 *) +(* Rating : 0.11 v3.4.0, 0.12 v3.3.0, 0.14 v3.2.0, 0.07 v3.1.0, 0.00 v2.7.0, 0.09 v2.6.0, 0.00 v2.2.1 *) (* Syntax : Number of clauses : 11 ( 0 non-Horn; 11 unit; 1 RR) *) @@ -54,7 +54,7 @@ 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. @@ -70,29 +70,30 @@ ntheorem prove_multiply_add_property: ∀H6:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply X (add Y (add X Z))) X. ∀H7:∀X:Univ.∀Y:Univ.eq Univ (multiply (add X Y) (add X (inverse Y))) X. ∀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.eq Univ (multiply a (add b c)) (add (multiply b a) (multiply c a)) +∀H9:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (add X (multiply Y (multiply X 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. -#H0. -#H1. -#H2. -#H3. -#H4. -#H5. -#H6. -#H7. -#H8. -#H9. -nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9; +#Univ ##. +#X ##. +#Y ##. +#Z ##. +#a ##. +#add ##. +#b ##. +#c ##. +#inverse ##. +#multiply ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +#H4 ##. +#H5 ##. +#H6 ##. +#H7 ##. +#H8 ##. +#H9 ##. +nauto by H0,H1,H2,H3,H4,H5,H6,H7,H8,H9 ##; +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)