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Specification exAgent
enrich Agent with
   constants 
      NUMOFAPPSANDUSERS : nat;
      NUMOFAirline : nat;
      NUMOFCreditCardCenter : nat;
      NUMOFTravelAgency : nat;
      NUMOFTravelPlanner : nat;
      NUMOFUser : nat;
   predicates 
      exAirline : Agent;
      exCreditCardCenter : Agent;
      exTravelAgency : Agent;
      exTravelPlanner : Agent;
      exUser : Agent;
      exAgent : Agent;
   
   axioms 
      NUMOFAPPSANDUSERS-def :  ⊦ NUMOFAPPSANDUSERS ≠ 0;
      used for : s, ls;
       
      NUMOFAirline-def :  ⊦ NUMOFAirline = 1;
      used for : s, ls;
       
      NUMOFCreditCardCenter-def :  ⊦ NUMOFCreditCardCenter = NUMOFAPPSANDUSERS;
      used for : s, ls;
       
      NUMOFTravelAgency-def :  ⊦ NUMOFTravelAgency = 1;
      used for : s, ls;
       
      NUMOFTravelPlanner-def :  ⊦ NUMOFTravelPlanner = NUMOFAPPSANDUSERS;
      used for : s, ls;
       
      NUMOFUser-def :  ⊦ NUMOFUser = NUMOFAPPSANDUSERS;
      used for : s, ls;
       
      exAgent-def :  ⊦ exAgent(ag) ↔ exAirline(ag) ∨ exCreditCardCenter(ag) ∨ exTravelAgency(ag) ∨ exTravelPlanner(ag) ∨ exUser(ag);
      exAirline-def :  ⊦ exAirline(ag) ↔ isAirline(ag) ∧ ag .id < NUMOFAirline;
      exCreditCardCenter-def :  ⊦ exCreditCardCenter(ag) ↔ isCreditCardCenter(ag) ∧ ag .id < NUMOFCreditCardCenter;
      exTravelAgency-def :  ⊦ exTravelAgency(ag) ↔ isTravelAgency(ag) ∧ ag .id < NUMOFTravelAgency;
      exTravelPlanner-def :  ⊦ exTravelPlanner(ag) ↔ isTravelPlanner(ag) ∧ ag .id < NUMOFTravelPlanner;
      exUser-def :  ⊦ exUser(ag) ↔ isUser(ag) ∧ ag .id < NUMOFUser;
      exAirline-is :  ⊦ ¬ isAirline(ag) → ¬ exAirline(ag);
      used for : s, ls, generated;
       
      exCreditCardCenter-is :  ⊦ ¬ isCreditCardCenter(ag) → ¬ exCreditCardCenter(ag);
      used for : s, ls, generated;
       
      exTravelAgency-is :  ⊦ ¬ isTravelAgency(ag) → ¬ exTravelAgency(ag);
      used for : s, ls, generated;
       
      exTravelPlanner-is :  ⊦ ¬ isTravelPlanner(ag) → ¬ exTravelPlanner(ag);
      used for : s, ls, generated;
       
      exUser-is :  ⊦ ¬ isUser(ag) → ¬ exUser(ag);
      used for : s, ls, generated;
       
      exAirline-s :  ⊦ exAirline(ag) ↔ ag = mkAirline(0);
      used for : s, ls, generated;
       
      exTravelAgency-s :  ⊦ exTravelAgency(ag) ↔ ag = mkTravelAgency(0);
      used for : s, ls, generated;
       
      exAirline-numof :  ⊦ exAirline(mkAirline(n)) ↔ n < NUMOFAirline;
      used for : generated;
       
      exCreditCardCenter-numof :  ⊦ exCreditCardCenter(mkCreditCardCenter(n)) ↔ n < NUMOFCreditCardCenter;
      used for : generated;
       
      exTravelAgency-numof :  ⊦ exTravelAgency(mkTravelAgency(n)) ↔ n < NUMOFTravelAgency;
      used for : generated;
       
      exTravelPlanner-numof :  ⊦ exTravelPlanner(mkTravelPlanner(n)) ↔ n < NUMOFTravelPlanner;
      used for : generated;
       
      exUser-numof :  ⊦ exUser(mkUser(n)) ↔ n < NUMOFUser;
      used for : generated;
       
      exAgent-Airline-is :  ⊦ isAirline(ag) → (exAgent(ag) ↔ ag .id < NUMOFAirline);
      used for : generated;
       
      exAgent-CreditCardCenter-is :  ⊦ isCreditCardCenter(ag) → (exAgent(ag) ↔ ag .id < NUMOFCreditCardCenter);
      used for : generated;
       
      exAgent-TravelAgency-is :  ⊦ isTravelAgency(ag) → (exAgent(ag) ↔ ag .id < NUMOFTravelAgency);
      used for : generated;
       
      exAgent-TravelPlanner-is :  ⊦ isTravelPlanner(ag) → (exAgent(ag) ↔ ag .id < NUMOFTravelPlanner);
      used for : generated;
       
      exAgent-User-is :  ⊦ isUser(ag) → (exAgent(ag) ↔ ag .id < NUMOFUser);
      used for : generated;
       
      exAgent-Airline-mk :  ⊦ exAgent(mkAirline(n)) ↔ n < NUMOFAirline;
      used for : generated;
       
      exAgent-CreditCardCenter-mk :  ⊦ exAgent(mkCreditCardCenter(n)) ↔ n < NUMOFCreditCardCenter;
      used for : generated;
       
      exAgent-TravelAgency-mk :  ⊦ exAgent(mkTravelAgency(n)) ↔ n < NUMOFTravelAgency;
      used for : generated;
       
      exAgent-TravelPlanner-mk :  ⊦ exAgent(mkTravelPlanner(n)) ↔ n < NUMOFTravelPlanner;
      used for : generated;
       
      exAgent-User-mk :  ⊦ exAgent(mkUser(n)) ↔ n < NUMOFUser;
      used for : generated;
       
      ex-not-CreditCardCenter :  ⊦ ¬ exCreditCardCenter(mkCreditCardCenter(n)) ↔ NUMOFAPPSANDUSERS ≤ n;
      used for : s, ls, generated;
       
      num-le-CreditCardCenter :  ⊦ NUMOFAPPSANDUSERS ≤ ag .id → ¬ exCreditCardCenter(ag);
      used for : s, ls, generated;
       
      ex-not-TravelPlanner :  ⊦ ¬ exTravelPlanner(mkTravelPlanner(n)) ↔ NUMOFAPPSANDUSERS ≤ n;
      used for : s, ls, generated;
       
      num-le-TravelPlanner :  ⊦ NUMOFAPPSANDUSERS ≤ ag .id → ¬ exTravelPlanner(ag);
      used for : s, ls, generated;
       
      ex-not-User :  ⊦ ¬ exUser(mkUser(n)) ↔ NUMOFAPPSANDUSERS ≤ n;
      used for : s, ls, generated;
       
      num-le-User :  ⊦ NUMOFAPPSANDUSERS ≤ ag .id → ¬ exUser(ag);
      used for : s, ls, generated;
       
      ex-zero :  ⊦ ¬ exAirline(mkAirline(0)) ↔ false;
      used for : s, ls, generated;
       
      ex-zero :  ⊦ ¬ exCreditCardCenter(mkCreditCardCenter(0)) ↔ false;
      used for : s, ls, generated;
       
      ex-zero :  ⊦ ¬ exTravelAgency(mkTravelAgency(0)) ↔ false;
      used for : s, ls, generated;
       
      ex-zero :  ⊦ ¬ exTravelPlanner(mkTravelPlanner(0)) ↔ false;
      used for : s, ls, generated;
       
      ex-zero :  ⊦ ¬ exUser(mkUser(0)) ↔ false;
      used for : s, ls, generated;
       
      ex-not :  ⊦ ¬ exAirline(mkCreditCardCenter(n));
      used for : s, ls, generated;
       
      ex-not :  ⊦ exAirline(ag) → ¬ exCreditCardCenter(ag);
      used for : s, ls, generated;
       
      ex-not :  ⊦ ¬ exAirline(mkTravelAgency(n));
      used for : s, ls, generated;
       
      ex-not :  ⊦ exAirline(ag) → ¬ exTravelAgency(ag);
      used for : s, ls, generated;
       
      ex-not :  ⊦ ¬ exAirline(mkTravelPlanner(n));
      used for : s, ls, generated;
       
      ex-not :  ⊦ exAirline(ag) → ¬ exTravelPlanner(ag);
      used for : s, ls, generated;
       
      ex-not :  ⊦ ¬ exAirline(mkUser(n));
      used for : s, ls, generated;
       
      ex-not :  ⊦ exAirline(ag) → ¬ exUser(ag);
      used for : s, ls, generated;
       
      ex-not :  ⊦ ¬ exCreditCardCenter(mkAirline(n));
      used for : s, ls, generated;
       
      ex-not :  ⊦ exCreditCardCenter(ag) → ¬ exAirline(ag);
      used for : s, ls, generated;
       
      ex-not :  ⊦ ¬ exCreditCardCenter(mkTravelAgency(n));
      used for : s, ls, generated;
       
      ex-not :  ⊦ exCreditCardCenter(ag) → ¬ exTravelAgency(ag);
      used for : s, ls, generated;
       
      ex-not :  ⊦ ¬ exCreditCardCenter(mkTravelPlanner(n));
      used for : s, ls, generated;
       
      ex-not :  ⊦ exCreditCardCenter(ag) → ¬ exTravelPlanner(ag);
      used for : s, ls, generated;
       
      ex-not :  ⊦ ¬ exCreditCardCenter(mkUser(n));
      used for : s, ls, generated;
       
      ex-not :  ⊦ exCreditCardCenter(ag) → ¬ exUser(ag);
      used for : s, ls, generated;
       
      ex-not :  ⊦ ¬ exTravelAgency(mkAirline(n));
      used for : s, ls, generated;
       
      ex-not :  ⊦ exTravelAgency(ag) → ¬ exAirline(ag);
      used for : s, ls, generated;
       
      ex-not :  ⊦ ¬ exTravelAgency(mkCreditCardCenter(n));
      used for : s, ls, generated;
       
      ex-not :  ⊦ exTravelAgency(ag) → ¬ exCreditCardCenter(ag);
      used for : s, ls, generated;
       
      ex-not :  ⊦ ¬ exTravelAgency(mkTravelPlanner(n));
      used for : s, ls, generated;
       
      ex-not :  ⊦ exTravelAgency(ag) → ¬ exTravelPlanner(ag);
      used for : s, ls, generated;
       
      ex-not :  ⊦ ¬ exTravelAgency(mkUser(n));
      used for : s, ls, generated;
       
      ex-not :  ⊦ exTravelAgency(ag) → ¬ exUser(ag);
      used for : s, ls, generated;
       
      ex-not :  ⊦ ¬ exTravelPlanner(mkAirline(n));
      used for : s, ls, generated;
       
      ex-not :  ⊦ exTravelPlanner(ag) → ¬ exAirline(ag);
      used for : s, ls, generated;
       
      ex-not :  ⊦ ¬ exTravelPlanner(mkCreditCardCenter(n));
      used for : s, ls, generated;
       
      ex-not :  ⊦ exTravelPlanner(ag) → ¬ exCreditCardCenter(ag);
      used for : s, ls, generated;
       
      ex-not :  ⊦ ¬ exTravelPlanner(mkTravelAgency(n));
      used for : s, ls, generated;
       
      ex-not :  ⊦ exTravelPlanner(ag) → ¬ exTravelAgency(ag);
      used for : s, ls, generated;
       
      ex-not :  ⊦ ¬ exTravelPlanner(mkUser(n));
      used for : s, ls, generated;
       
      ex-not :  ⊦ exTravelPlanner(ag) → ¬ exUser(ag);
      used for : s, ls, generated;
       
      ex-not :  ⊦ ¬ exUser(mkAirline(n));
      used for : s, ls, generated;
       
      ex-not :  ⊦ exUser(ag) → ¬ exAirline(ag);
      used for : s, ls, generated;
       
      ex-not :  ⊦ ¬ exUser(mkCreditCardCenter(n));
      used for : s, ls, generated;
       
      ex-not :  ⊦ exUser(ag) → ¬ exCreditCardCenter(ag);
      used for : s, ls, generated;
       
      ex-not :  ⊦ ¬ exUser(mkTravelAgency(n));
      used for : s, ls, generated;
       
      ex-not :  ⊦ exUser(ag) → ¬ exTravelAgency(ag);
      used for : s, ls, generated;
       
      ex-not :  ⊦ ¬ exUser(mkTravelPlanner(n));
      used for : s, ls, generated;
       
      ex-not :  ⊦ exUser(ag) → ¬ exTravelPlanner(ag);
      used for : s, ls, generated;
       
end enrich