X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FBOO034-1.ma;h=c0898be50b94f241f499d4a8b96c48a3acf0b885;hb=0f13d14b63b012e0ea8ce0d0e71bf808fdd444eb;hp=6d6ee55b0fc52db19ee43a45b2293e52f0b3c92d;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git diff --git a/helm/software/matita/contribs/ng_TPTP/BOO034-1.ma b/helm/software/matita/contribs/ng_TPTP/BOO034-1.ma index 6d6ee55b0..c0898be50 100644 --- a/helm/software/matita/contribs/ng_TPTP/BOO034-1.ma +++ b/helm/software/matita/contribs/ng_TPTP/BOO034-1.ma @@ -4,7 +4,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : BOO034-1 : TPTP v3.2.0. Released v2.2.0. *) +(* File : BOO034-1 : TPTP v3.7.0. Released v2.2.0. *) (* Domain : Boolean Algebra (Ternary) *) @@ -26,7 +26,7 @@ include "logic/equality.ma". (* Status : Unsatisfiable *) -(* Rating : 0.29 v3.2.0, 0.21 v3.1.0, 0.11 v2.7.0, 0.27 v2.6.0, 0.33 v2.5.0, 0.00 v2.2.1 *) +(* Rating : 0.44 v3.4.0, 0.50 v3.3.0, 0.29 v3.2.0, 0.21 v3.1.0, 0.11 v2.7.0, 0.27 v2.6.0, 0.33 v2.5.0, 0.00 v2.2.1 *) (* Syntax : Number of clauses : 6 ( 0 non-Horn; 6 unit; 1 RR) *) @@ -52,7 +52,7 @@ include "logic/equality.ma". (* -------------------------------------------------------------------------- *) -(* File : BOO001-0 : TPTP v3.2.0. Released v1.0.0. *) +(* File : BOO001-0 : TPTP v3.7.0. Released v1.0.0. *) (* Domain : Algebra (Ternary Boolean) *) @@ -74,7 +74,7 @@ include "logic/equality.ma". (* Syntax : Number of clauses : 5 ( 0 non-Horn; 5 unit; 0 RR) *) -(* Number of literals : 5 ( 5 equality) *) +(* Number of atoms : 5 ( 5 equality) *) (* Maximal clause size : 1 ( 1 average) *) @@ -100,7 +100,7 @@ include "logic/equality.ma". (* ----Denial of single axiom: *) ntheorem prove_single_axiom: - ∀Univ:Type.∀V:Univ.∀W:Univ.∀X:Univ.∀Y:Univ.∀Z:Univ. + (∀Univ:Type.∀V:Univ.∀W:Univ.∀X:Univ.∀Y:Univ.∀Z:Univ. ∀a:Univ. ∀b:Univ. ∀c:Univ. @@ -114,29 +114,30 @@ ntheorem prove_single_axiom: ∀H1:∀X:Univ.∀Y:Univ.eq Univ (multiply (inverse Y) Y X) X. ∀H2:∀X:Univ.∀Y:Univ.eq Univ (multiply X X Y) X. ∀H3:∀X:Univ.∀Y:Univ.eq Univ (multiply Y X X) X. -∀H4:∀V:Univ.∀W:Univ.∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply (multiply V W X) Y (multiply V W Z)) (multiply V W (multiply X Y Z)).eq Univ (multiply (multiply a (inverse a) b) (inverse (multiply (multiply c d e) f (multiply c d g))) (multiply d (multiply g f e) c)) b +∀H4:∀V:Univ.∀W:Univ.∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (multiply (multiply V W X) Y (multiply V W Z)) (multiply V W (multiply X Y Z)).eq Univ (multiply (multiply a (inverse a) b) (inverse (multiply (multiply c d e) f (multiply c d g))) (multiply d (multiply g f e) c)) b) . -#Univ. -#V. -#W. -#X. -#Y. -#Z. -#a. -#b. -#c. -#d. -#e. -#f. -#g. -#inverse. -#multiply. -#H0. -#H1. -#H2. -#H3. -#H4. -nauto by H0,H1,H2,H3,H4; +#Univ ##. +#V ##. +#W ##. +#X ##. +#Y ##. +#Z ##. +#a ##. +#b ##. +#c ##. +#d ##. +#e ##. +#f ##. +#g ##. +#inverse ##. +#multiply ##. +#H0 ##. +#H1 ##. +#H2 ##. +#H3 ##. +#H4 ##. +nauto by H0,H1,H2,H3,H4 ##; +ntry (nassumption) ##; nqed. (* -------------------------------------------------------------------------- *)