(herald "Station-to-station protocol no base vars"
  (algebra diffie-hellman))

(comment "CPSA 3.6.8")
(comment "All input read from tst/station_nobase.scm")

(defprotocol station-to-station diffie-hellman
  (defrole init
    (vars (x rndx) (h expt) (a b name))
    (trace (send (exp (gen) x))
      (recv
        (cat (exp (gen) h)
          (enc (enc (exp (gen) h) (exp (gen) x) (privk b))
            (exp (gen) (mul x h)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) h) (privk a))
          (exp (gen) (mul x h)))))
    (uniq-gen x))
  (defrole resp
    (vars (y rndx) (h expt) (a b name))
    (trace (recv (exp (gen) h))
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) (exp (gen) h) (privk b))
            (exp (gen) (mul y h)))))
      (recv
        (enc (enc (exp (gen) h) (exp (gen) y) (privk a))
          (exp (gen) (mul y h)))))
    (uniq-gen y)
    (absent (y (exp (gen) h)))))

(defskeleton station-to-station
  (vars (a b name) (x rndx) (h expt))
  (defstrand init 3 (a a) (b b) (x x) (h h))
  (non-orig (privk a) (privk b))
  (uniq-gen x)
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) h)
          (enc (enc (exp (gen) h) (exp (gen) x) (privk b))
            (exp (gen) (mul x h)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) h) (privk a))
          (exp (gen) (mul x h))))))
  (label 0)
  (unrealized (0 1))
  (origs)
  (comment "2 in cohort - 2 not yet seen"))

(defskeleton station-to-station
  (vars (a b b-0 name) (x x-0 rndx))
  (defstrand init 3 (a a) (b b) (x x-0) (h x))
  (defstrand init 3 (a b) (b b-0) (x x) (h x-0))
  (precedes ((0 0) (1 1)) ((1 2) (0 1)))
  (non-orig (privk a) (privk b))
  (uniq-gen x x-0)
  (operation encryption-test (added-strand init 3)
    (enc (exp (gen) x) (exp (gen) x-0) (privk b)) (0 1))
  (traces
    ((send (exp (gen) x-0))
      (recv
        (cat (exp (gen) x)
          (enc (enc (exp (gen) x) (exp (gen) x-0) (privk b))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x-0) (exp (gen) x) (privk a))
          (exp (gen) (mul x x-0)))))
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) x-0)
          (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b-0))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) x-0) (privk b))
          (exp (gen) (mul x x-0))))))
  (label 1)
  (parent 0)
  (unrealized (1 1))
  (comment "1 in cohort - 1 not yet seen"))

(defskeleton station-to-station
  (vars (a b name) (y x rndx))
  (defstrand init 3 (a a) (b b) (x x) (h y))
  (defstrand resp 2 (b b) (y y) (h x))
  (precedes ((0 0) (1 0)) ((1 1) (0 1)))
  (absent (y (exp (gen) x)))
  (non-orig (privk a) (privk b))
  (uniq-gen y x)
  (operation encryption-test (added-strand resp 2)
    (enc (exp (gen) y) (exp (gen) x) (privk b)) (0 1))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) (exp (gen) x) (privk b))
            (exp (gen) (mul y x)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) y) (privk a))
          (exp (gen) (mul y x)))))
    ((recv (exp (gen) x))
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) (exp (gen) x) (privk b))
            (exp (gen) (mul y x)))))))
  (label 2)
  (parent 0)
  (unrealized)
  (shape)
  (maps ((0) ((a a) (b b) (x x) (h y))))
  (origs))

(defskeleton station-to-station
  (vars (a b b-0 name) (x x-0 rndx))
  (defstrand init 3 (a a) (b b) (x x-0) (h x))
  (defstrand init 3 (a b) (b b-0) (x x) (h x-0))
  (deflistener (exp (gen) (mul x x-0)))
  (precedes ((0 0) (2 0)) ((1 0) (2 0)) ((1 2) (0 1)) ((2 1) (1 1)))
  (non-orig (privk a) (privk b))
  (uniq-gen x x-0)
  (operation encryption-test (added-listener (exp (gen) (mul x x-0)))
    (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b-0))
      (exp (gen) (mul x x-0))) (1 1))
  (traces
    ((send (exp (gen) x-0))
      (recv
        (cat (exp (gen) x)
          (enc (enc (exp (gen) x) (exp (gen) x-0) (privk b))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x-0) (exp (gen) x) (privk a))
          (exp (gen) (mul x x-0)))))
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) x-0)
          (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b-0))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) x-0) (privk b))
          (exp (gen) (mul x x-0)))))
    ((recv (exp (gen) (mul x x-0))) (send (exp (gen) (mul x x-0)))))
  (label 3)
  (parent 1)
  (unrealized (2 0))
  (comment "2 in cohort - 2 not yet seen"))

(defskeleton station-to-station
  (vars (a b b-0 name) (x x-0 rndx))
  (defstrand init 3 (a a) (b b) (x x-0) (h x))
  (defstrand init 3 (a b) (b b-0) (x x) (h x-0))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (exp (gen) x) x-0))
  (precedes ((0 0) (3 0)) ((1 0) (3 0)) ((1 2) (0 1)) ((2 1) (1 1))
    ((3 1) (2 0)))
  (non-orig (privk a) (privk b))
  (uniq-gen x x-0)
  (operation nonce-test (added-listener (cat (exp (gen) x) x-0))
    (exp (gen) (mul x x-0)) (2 0))
  (traces
    ((send (exp (gen) x-0))
      (recv
        (cat (exp (gen) x)
          (enc (enc (exp (gen) x) (exp (gen) x-0) (privk b))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x-0) (exp (gen) x) (privk a))
          (exp (gen) (mul x x-0)))))
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) x-0)
          (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b-0))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) x-0) (privk b))
          (exp (gen) (mul x x-0)))))
    ((recv (exp (gen) (mul x x-0))) (send (exp (gen) (mul x x-0))))
    ((recv (cat (exp (gen) x) x-0)) (send (cat (exp (gen) x) x-0))))
  (label 4)
  (parent 3)
  (unrealized (3 0))
  (dead)
  (comment "empty cohort"))

(defskeleton station-to-station
  (vars (a b b-0 name) (x x-0 rndx))
  (defstrand init 3 (a a) (b b) (x x-0) (h x))
  (defstrand init 3 (a b) (b b-0) (x x) (h x-0))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (exp (gen) x-0) x))
  (precedes ((0 0) (3 0)) ((1 0) (3 0)) ((1 2) (0 1)) ((2 1) (1 1))
    ((3 1) (2 0)))
  (non-orig (privk a) (privk b))
  (uniq-gen x x-0)
  (operation nonce-test (added-listener (cat (exp (gen) x-0) x))
    (exp (gen) (mul x x-0)) (2 0))
  (traces
    ((send (exp (gen) x-0))
      (recv
        (cat (exp (gen) x)
          (enc (enc (exp (gen) x) (exp (gen) x-0) (privk b))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x-0) (exp (gen) x) (privk a))
          (exp (gen) (mul x x-0)))))
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) x-0)
          (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b-0))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) x-0) (privk b))
          (exp (gen) (mul x x-0)))))
    ((recv (exp (gen) (mul x x-0))) (send (exp (gen) (mul x x-0))))
    ((recv (cat (exp (gen) x-0) x)) (send (cat (exp (gen) x-0) x))))
  (label 5)
  (parent 3)
  (unrealized (3 0))
  (dead)
  (comment "empty cohort"))

(comment "Nothing left to do")

(defprotocol station-to-station diffie-hellman
  (defrole init
    (vars (x rndx) (h expt) (a b name))
    (trace (send (exp (gen) x))
      (recv
        (cat (exp (gen) h)
          (enc (enc (exp (gen) h) (exp (gen) x) (privk b))
            (exp (gen) (mul x h)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) h) (privk a))
          (exp (gen) (mul x h)))))
    (uniq-gen x))
  (defrole resp
    (vars (y rndx) (h expt) (a b name))
    (trace (recv (exp (gen) h))
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) (exp (gen) h) (privk b))
            (exp (gen) (mul y h)))))
      (recv
        (enc (enc (exp (gen) h) (exp (gen) y) (privk a))
          (exp (gen) (mul y h)))))
    (uniq-gen y)
    (absent (y (exp (gen) h)))))

(defskeleton station-to-station
  (vars (a b name) (y rndx) (h expt))
  (defstrand resp 3 (a a) (b b) (y y) (h h))
  (absent (y (exp (gen) h)))
  (non-orig (privk a) (privk b))
  (uniq-gen y)
  (traces
    ((recv (exp (gen) h))
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) (exp (gen) h) (privk b))
            (exp (gen) (mul y h)))))
      (recv
        (enc (enc (exp (gen) h) (exp (gen) y) (privk a))
          (exp (gen) (mul y h))))))
  (label 6)
  (unrealized (0 2))
  (origs)
  (comment "1 in cohort - 1 not yet seen"))

(defskeleton station-to-station
  (vars (a b b-0 name) (x y rndx))
  (defstrand resp 3 (a a) (b b) (y y) (h x))
  (defstrand init 3 (a a) (b b-0) (x x) (h y))
  (precedes ((0 1) (1 1)) ((1 0) (0 0)) ((1 2) (0 2)))
  (absent (y (exp (gen) x)))
  (non-orig (privk a) (privk b))
  (uniq-gen x y)
  (operation encryption-test (added-strand init 3)
    (enc (exp (gen) x) (exp (gen) y) (privk a)) (0 2))
  (traces
    ((recv (exp (gen) x))
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) (exp (gen) x) (privk b))
            (exp (gen) (mul x y)))))
      (recv
        (enc (enc (exp (gen) x) (exp (gen) y) (privk a))
          (exp (gen) (mul x y)))))
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) (exp (gen) x) (privk b-0))
            (exp (gen) (mul x y)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) y) (privk a))
          (exp (gen) (mul x y))))))
  (label 7)
  (parent 6)
  (unrealized (1 1))
  (comment "2 in cohort - 2 not yet seen"))

(defskeleton station-to-station
  (vars (a b name) (y x rndx))
  (defstrand resp 3 (a a) (b b) (y y) (h x))
  (defstrand init 3 (a a) (b b) (x x) (h y))
  (precedes ((0 1) (1 1)) ((1 0) (0 0)) ((1 2) (0 2)))
  (absent (y (exp (gen) x)))
  (non-orig (privk a) (privk b))
  (uniq-gen y x)
  (operation encryption-test (displaced 2 0 resp 2)
    (enc (enc (exp (gen) y) (exp (gen) x) (privk b-0))
      (exp (gen) (mul y x))) (1 1))
  (traces
    ((recv (exp (gen) x))
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) (exp (gen) x) (privk b))
            (exp (gen) (mul y x)))))
      (recv
        (enc (enc (exp (gen) x) (exp (gen) y) (privk a))
          (exp (gen) (mul y x)))))
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) (exp (gen) x) (privk b))
            (exp (gen) (mul y x)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) y) (privk a))
          (exp (gen) (mul y x))))))
  (label 8)
  (parent 7)
  (unrealized)
  (shape)
  (maps ((0) ((a a) (b b) (y y) (h x))))
  (origs))

(defskeleton station-to-station
  (vars (a b b-0 name) (x y rndx))
  (defstrand resp 3 (a a) (b b) (y y) (h x))
  (defstrand init 3 (a a) (b b-0) (x x) (h y))
  (deflistener (exp (gen) (mul x y)))
  (precedes ((0 1) (2 0)) ((1 0) (0 0)) ((1 2) (0 2)) ((2 1) (1 1)))
  (absent (y (exp (gen) x)))
  (non-orig (privk a) (privk b))
  (uniq-gen x y)
  (operation encryption-test (added-listener (exp (gen) (mul x y)))
    (enc (enc (exp (gen) y) (exp (gen) x) (privk b-0))
      (exp (gen) (mul x y))) (1 1))
  (traces
    ((recv (exp (gen) x))
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) (exp (gen) x) (privk b))
            (exp (gen) (mul x y)))))
      (recv
        (enc (enc (exp (gen) x) (exp (gen) y) (privk a))
          (exp (gen) (mul x y)))))
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) (exp (gen) x) (privk b-0))
            (exp (gen) (mul x y)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) y) (privk a))
          (exp (gen) (mul x y)))))
    ((recv (exp (gen) (mul x y))) (send (exp (gen) (mul x y)))))
  (label 9)
  (parent 7)
  (unrealized (2 0))
  (comment "2 in cohort - 2 not yet seen"))

(defskeleton station-to-station
  (vars (a b b-0 name) (x y rndx))
  (defstrand resp 3 (a a) (b b) (y y) (h x))
  (defstrand init 3 (a a) (b b-0) (x x) (h y))
  (deflistener (exp (gen) (mul x y)))
  (deflistener (cat (exp (gen) x) y))
  (precedes ((0 1) (3 0)) ((1 0) (0 0)) ((1 2) (0 2)) ((2 1) (1 1))
    ((3 1) (2 0)))
  (absent (y (exp (gen) x)))
  (non-orig (privk a) (privk b))
  (uniq-gen x y)
  (operation nonce-test (added-listener (cat (exp (gen) x) y))
    (exp (gen) (mul x y)) (2 0))
  (traces
    ((recv (exp (gen) x))
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) (exp (gen) x) (privk b))
            (exp (gen) (mul x y)))))
      (recv
        (enc (enc (exp (gen) x) (exp (gen) y) (privk a))
          (exp (gen) (mul x y)))))
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) (exp (gen) x) (privk b-0))
            (exp (gen) (mul x y)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) y) (privk a))
          (exp (gen) (mul x y)))))
    ((recv (exp (gen) (mul x y))) (send (exp (gen) (mul x y))))
    ((recv (cat (exp (gen) x) y)) (send (cat (exp (gen) x) y))))
  (label 10)
  (parent 9)
  (unrealized (3 0))
  (dead)
  (comment "empty cohort"))

(defskeleton station-to-station
  (vars (a b b-0 name) (x y rndx))
  (defstrand resp 3 (a a) (b b) (y y) (h x))
  (defstrand init 3 (a a) (b b-0) (x x) (h y))
  (deflistener (exp (gen) (mul x y)))
  (deflistener (cat (exp (gen) y) x))
  (precedes ((0 1) (3 0)) ((1 0) (0 0)) ((1 2) (0 2)) ((2 1) (1 1))
    ((3 1) (2 0)))
  (absent (y (exp (gen) x)))
  (non-orig (privk a) (privk b))
  (uniq-gen x y)
  (operation nonce-test (added-listener (cat (exp (gen) y) x))
    (exp (gen) (mul x y)) (2 0))
  (traces
    ((recv (exp (gen) x))
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) (exp (gen) x) (privk b))
            (exp (gen) (mul x y)))))
      (recv
        (enc (enc (exp (gen) x) (exp (gen) y) (privk a))
          (exp (gen) (mul x y)))))
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) (exp (gen) x) (privk b-0))
            (exp (gen) (mul x y)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) y) (privk a))
          (exp (gen) (mul x y)))))
    ((recv (exp (gen) (mul x y))) (send (exp (gen) (mul x y))))
    ((recv (cat (exp (gen) y) x)) (send (cat (exp (gen) y) x))))
  (label 11)
  (parent 9)
  (unrealized (3 0))
  (dead)
  (comment "empty cohort"))

(comment "Nothing left to do")