Stuff moved from old Matita.

[helm.git] / matita / matita / contribs / ng_TPTP / LCL410-1.ma

diff --git a/matita/matita/contribs/ng_TPTP/LCL410-1.ma b/matita/matita/contribs/ng_TPTP/LCL410-1.ma
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+include "logic/equality.ma".
+
+(* Inclusion of: LCL410-1.p *)
+
+(* -------------------------------------------------------------------------- *)
+
+(*  File     : LCL410-1 : TPTP v3.7.0. Released v2.5.0. *)
+
+(*  Domain   : Logic Calculi (Wajsberg Algebras) *)
+
+(*  Problem  : Alternative Wajsberg algebra definitions *)
+
+(*  Version  : [AB90] (equality) axioms. *)
+
+(*  English  :  *)
+
+(*  Refs     : [FRT84] Font et al. (1984), Wajsberg Algebras *)
+
+(*           : [AB90]  Anantharaman & Bonacina (1990), An Application of the  *)
+
+(*           : [Bon91] Bonacina (1991), Problems in Lukasiewicz Logic *)
+
+(*  Source   : [Bon91] *)
+
+(*  Names    :  *)
+
+(*  Status   : Satisfiable *)
+
+(*  Rating   : 0.00 v3.2.0, 0.33 v3.1.0, 0.00 v2.5.0 *)
+
+(*  Syntax   : Number of clauses     :   20 (   0 non-Horn;  20 unit;   1 RR) *)
+
+(*             Number of atoms       :   20 (  20 equality) *)
+
+(*             Maximal clause size   :    1 (   1 average) *)
+
+(*             Number of predicates  :    1 (   0 propositional; 2-2 arity) *)
+
+(*             Number of functors    :    8 (   2 constant; 0-2 arity) *)
+
+(*             Number of variables   :   35 (   1 singleton) *)
+
+(*             Maximal term depth    :    5 (   2 average) *)
+
+(*  Comments :  *)
+
+(* -------------------------------------------------------------------------- *)
+
+(* ----Include Alternative Wajsberg algebra axioms *)
+
+(* Inclusion of: Axioms/LCL002-0.ax *)
+
+(* -------------------------------------------------------------------------- *)
+
+(*  File     : LCL002-0 : TPTP v3.7.0. Released v1.0.0. *)
+
+(*  Domain   : Logic Calculi (Wajsberg Algebras) *)
+
+(*  Axioms   : Alternative Wajsberg algebra axioms *)
+
+(*  Version  : [AB90] (equality) axioms. *)
+
+(*  English  :  *)
+
+(*  Refs     : [FRT84] Font et al. (1984), Wajsberg Algebras *)
+
+(*           : [AB90]  Anantharaman & Bonacina (1990), An Application of the  *)
+
+(*           : [Bon91] Bonacina (1991), Problems in Lukasiewicz Logic *)
+
+(*  Source   : [Bon91] *)
+
+(*  Names    :  *)
+
+(*  Status   :  *)
+
+(*  Syntax   : Number of clauses    :    8 (   0 non-Horn;   8 unit;   0 RR) *)
+
+(*             Number of atoms      :    8 (   8 equality) *)
+
+(*             Maximal clause size  :    1 (   1 average) *)
+
+(*             Number of predicates :    1 (   0 propositional; 2-2 arity) *)
+
+(*             Number of functors   :    5 (   2 constant; 0-2 arity) *)
+
+(*             Number of variables  :   10 (   1 singleton) *)
+
+(*             Maximal term depth   :    5 (   2 average) *)
+
+(*  Comments : To be used in conjunction with the LAT003 alternative  *)
+
+(*             Wajsberg algebra definitions. *)
+
+(* -------------------------------------------------------------------------- *)
+
+(* -------------------------------------------------------------------------- *)
+
+(* ----Include Wajsberg algebra AND and OR definitions *)
+
+(* Inclusion of: Axioms/LCL001-2.ax *)
+
+(* -------------------------------------------------------------------------- *)
+
+(*  File     : LCL001-2 : TPTP v3.7.0. Released v1.0.0. *)
+
+(*  Domain   : Logic Calculi (Wajsberg Algebras) *)
+
+(*  Axioms   : Wajsberg algebra AND and OR definitions *)
+
+(*  Version  : [AB90] (equality) axioms. *)
+
+(*  English  :  *)
+
+(*  Refs     : [FRT84] Font et al. (1984), Wajsberg Algebras *)
+
+(*           : [AB90]  Anantharaman & Bonacina (1990), An Application of the  *)
+
+(*           : [Bon91] Bonacina (1991), Problems in Lukasiewicz Logic *)
+
+(*  Source   : [Bon91] *)
+
+(*  Names    :  *)
+
+(*  Status   :  *)
+
+(*  Syntax   : Number of clauses    :    6 (   0 non-Horn;   6 unit;   0 RR) *)
+
+(*             Number of atoms      :    6 (   6 equality) *)
+
+(*             Maximal clause size  :    1 (   1 average) *)
+
+(*             Number of predicates :    1 (   0 propositional; 2-2 arity) *)
+
+(*             Number of functors   :    4 (   0 constant; 1-2 arity) *)
+
+(*             Number of variables  :   14 (   0 singleton) *)
+
+(*             Maximal term depth   :    4 (   3 average) *)
+
+(*  Comments : Requires LCL001-0.ax *)
+
+(* -------------------------------------------------------------------------- *)
+
+(* ----Definitions of or and and, which are AC  *)
+
+(* -------------------------------------------------------------------------- *)
+
+(* ----Include Alternative Wajsberg algebra definitions *)
+
+(* Inclusion of: Axioms/LCL002-1.ax *)
+
+(* -------------------------------------------------------------------------- *)
+
+(*  File     : LCL002-1 : TPTP v3.7.0. Released v1.0.0. *)
+
+(*  Domain   : Logic Calculi (Wajsberg Algebras) *)
+
+(*  Axioms   : Alternative Wajsberg algebra definitions *)
+
+(*  Version  : [AB90] (equality) axioms. *)
+
+(*  English  :  *)
+
+(*  Refs     : [FRT84] Font et al. (1984), Wajsberg Algebras *)
+
+(*           : [AB90]  Anantharaman & Bonacina (1990), An Application of the  *)
+
+(*           : [Bon91] Bonacina (1991), Problems in Lukasiewicz Logic *)
+
+(*  Source   : [Bon91] *)
+
+(*  Names    :  *)
+
+(*  Status   :  *)
+
+(*  Syntax   : Number of clauses    :    6 (   0 non-Horn;   6 unit;   1 RR) *)
+
+(*             Number of atoms      :    6 (   6 equality) *)
+
+(*             Maximal clause size  :    1 (   1 average) *)
+
+(*             Number of predicates :    1 (   0 propositional; 2-2 arity) *)
+
+(*             Number of functors   :    7 (   2 constant; 0-2 arity) *)
+
+(*             Number of variables  :   11 (   0 singleton) *)
+
+(*             Maximal term depth   :    4 (   2 average) *)
+
+(*  Comments : Requires LCL001-0.ax LCL001-2.ax *)
+
+(* -------------------------------------------------------------------------- *)
+
+(* ----Definitions of and_star and xor, where and_star is AC and xor is C  *)
+
+(* ---I guess the next two can be derived from the AC of and *)
+
+(* ----Definition of false in terms of truth  *)
+
+(* -------------------------------------------------------------------------- *)
+
+(* -------------------------------------------------------------------------- *)