cpsa-3.4.1: tst/station.tst

(herald "Station-to-station protocol" (algebra diffie-hellman))

(comment "CPSA 3.4.0")
(comment "All input read from station.scm")

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

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

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

(defskeleton station-to-station
  (vars (a b name) (h base) (x expn))
  (defstrand init 3 (a a) (b b) (h h) (x x))
  (deflistener (exp h x))
  (precedes ((0 0) (1 0)) ((1 1) (0 1)))
  (non-orig (privk a) (privk b))
  (uniq-gen x)
  (operation encryption-test (added-listener (exp h x))
    (enc (enc h (exp (gen) x) (privk b)) (exp h x)) (0 1))
  (traces
    ((send (exp (gen) x))
      (recv (cat h (enc (enc h (exp (gen) x) (privk b)) (exp h x))))
      (send (enc (enc (exp (gen) x) h (privk a)) (exp h x))))
    ((recv (exp h x)) (send (exp h x))))
  (label 3)
  (parent 0)
  (unrealized (0 1) (1 0))
  (comment "5 in cohort - 5 not yet seen"))

(defskeleton station-to-station
  (vars (a b b-0 name) (x x-0 expn))
  (defstrand init 3 (a a) (b b) (h (exp (gen) x-0)) (x x))
  (defstrand init 3 (a b) (b b-0) (h (exp (gen) x)) (x 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) (exp (gen) x-0) (privk b-0))
      (exp (gen) (mul x x-0))) (1 1))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) x-0)
          (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) x-0) (privk a))
          (exp (gen) (mul x x-0)))))
    ((send (exp (gen) x-0))
      (recv
        (cat (exp (gen) x)
          (enc (enc (exp (gen) x) (exp (gen) x-0) (privk b-0))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
          (exp (gen) (mul x x-0)))))
    ((recv (exp (gen) (mul x x-0))) (send (exp (gen) (mul x x-0)))))
  (label 4)
  (parent 1)
  (unrealized (2 0))
  (comment "1 in cohort - 1 not yet seen"))

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

(defskeleton station-to-station
  (vars (a b name) (x expn))
  (defstrand init 3 (a a) (b b) (h (gen)) (x x))
  (deflistener (exp (gen) x))
  (precedes ((0 0) (1 0)) ((1 1) (0 1)))
  (non-orig (privk a) (privk b))
  (uniq-gen x)
  (operation nonce-test (displaced 2 0 init 1) (exp (gen) x-0) (1 0))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (gen)
          (enc (enc (gen) (exp (gen) x) (privk b)) (exp (gen) x))))
      (send (enc (enc (exp (gen) x) (gen) (privk a)) (exp (gen) x))))
    ((recv (exp (gen) x)) (send (exp (gen) x))))
  (label 6)
  (parent 3)
  (unrealized (0 1))
  (comment "empty cohort"))

(defskeleton station-to-station
  (vars (a b name) (x x-0 expn))
  (defstrand init 3 (a a) (b b) (h (exp (gen) (mul (rec x) x-0))) (x x))
  (deflistener (exp (gen) x-0))
  (defstrand init 1 (x x-0))
  (precedes ((0 0) (1 0)) ((1 1) (0 1)) ((2 0) (1 0)))
  (non-orig (privk a) (privk b))
  (uniq-gen x x-0)
  (operation nonce-test (added-strand init 1) (exp (gen) x-0) (1 0))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) (mul (rec x) x-0))
          (enc
            (enc (exp (gen) (mul (rec x) x-0)) (exp (gen) x) (privk b))
            (exp (gen) x-0))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) (mul (rec x) x-0)) (privk a))
          (exp (gen) x-0))))
    ((recv (exp (gen) x-0)) (send (exp (gen) x-0)))
    ((send (exp (gen) x-0))))
  (label 7)
  (parent 3)
  (unrealized (0 1))
  (comment "empty cohort"))

(defskeleton station-to-station
  (vars (a b b-0 name) (h base) (x y expn))
  (defstrand init 3 (a a) (b b) (h (exp (gen) (mul (rec x) y))) (x x))
  (deflistener (exp (gen) y))
  (defstrand resp 2 (b b-0) (h h) (y y))
  (precedes ((0 0) (1 0)) ((1 1) (0 1)) ((2 1) (1 0)))
  (absent (y h))
  (non-orig (privk a) (privk b))
  (uniq-gen x y)
  (operation nonce-test (added-strand resp 2) (exp (gen) y) (1 0))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) (mul (rec x) y))
          (enc (enc (exp (gen) (mul (rec x) y)) (exp (gen) x) (privk b))
            (exp (gen) y))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) (mul (rec x) y)) (privk a))
          (exp (gen) y)))) ((recv (exp (gen) y)) (send (exp (gen) y)))
    ((recv h)
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) h (privk b-0)) (exp h y))))))
  (label 8)
  (parent 3)
  (unrealized (0 1))
  (comment "empty cohort"))

(defskeleton station-to-station
  (vars (a b name) (h base) (x expn) (w expr))
  (defstrand init 3 (a a) (b b) (h h) (x x))
  (deflistener (exp h x))
  (deflistener (cat (exp h (mul x (rec w))) w))
  (precedes ((0 0) (2 0)) ((1 1) (0 1)) ((2 1) (1 0)))
  (non-orig (privk a) (privk b))
  (uniq-gen x)
  (precur (2 0))
  (operation nonce-test (added-listener (cat (exp h (mul x (rec w))) w))
    (exp h x) (1 0))
  (traces
    ((send (exp (gen) x))
      (recv (cat h (enc (enc h (exp (gen) x) (privk b)) (exp h x))))
      (send (enc (enc (exp (gen) x) h (privk a)) (exp h x))))
    ((recv (exp h x)) (send (exp h x)))
    ((recv (cat (exp h (mul x (rec w))) w))
      (send (cat (exp h (mul x (rec w))) w))))
  (label 9)
  (parent 3)
  (unrealized (0 1) (2 0))
  (comment "4 in cohort - 4 not yet seen"))

(defskeleton station-to-station
  (vars (a b b-0 name) (x x-0 expn) (w expr))
  (defstrand init 3 (a a) (b b) (h (exp (gen) x-0)) (x x))
  (defstrand init 3 (a b) (b b-0) (h (exp (gen) x)) (x x-0))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (exp (gen) (mul x x-0 (rec w))) w))
  (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)
  (precur (3 0))
  (operation nonce-test
    (added-listener (cat (exp (gen) (mul x x-0 (rec w))) w))
    (exp (gen) (mul x x-0)) (2 0))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) x-0)
          (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) x-0) (privk a))
          (exp (gen) (mul x x-0)))))
    ((send (exp (gen) x-0))
      (recv
        (cat (exp (gen) x)
          (enc (enc (exp (gen) x) (exp (gen) x-0) (privk b-0))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x-0) (exp (gen) x) (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) (mul x x-0 (rec w))) w))
      (send (cat (exp (gen) (mul x x-0 (rec w))) w))))
  (label 10)
  (parent 4)
  (unrealized (3 0))
  (comment "5 in cohort - 5 not yet seen"))

(defskeleton station-to-station
  (vars (a b name) (x expn) (w expr))
  (defstrand init 3 (a a) (b b) (h (exp (gen) (mul (rec x) w))) (x x))
  (deflistener (exp (gen) w))
  (deflistener (cat (gen) w))
  (precedes ((0 0) (2 0)) ((1 1) (0 1)) ((2 1) (1 0)))
  (non-orig (privk a) (privk b))
  (uniq-gen x)
  (precur (2 0))
  (operation nonce-test (contracted (h (exp (gen) (mul (rec x) w))))
    (gen) (2 0))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) (mul (rec x) w))
          (enc (enc (exp (gen) (mul (rec x) w)) (exp (gen) x) (privk b))
            (exp (gen) w))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) (mul (rec x) w)) (privk a))
          (exp (gen) w)))) ((recv (exp (gen) w)) (send (exp (gen) w)))
    ((recv (cat (gen) w)) (send (cat (gen) w))))
  (label 11)
  (parent 9)
  (unrealized (0 1))
  (comment "2 in cohort - 2 not yet seen"))

(defskeleton station-to-station
  (vars (a b name) (w expr) (x expn))
  (defstrand init 3 (a a) (b b) (h (exp (gen) w)) (x x))
  (deflistener (exp (gen) (mul w x)))
  (deflistener (cat (exp (gen) x) w))
  (precedes ((0 0) (2 0)) ((1 1) (0 1)) ((2 1) (1 0)))
  (non-orig (privk a) (privk b))
  (precur (2 0))
  (uniq-gen x)
  (operation nonce-test (displaced 3 0 init 1) (exp (gen) x-0) (2 0))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) w)
          (enc (enc (exp (gen) w) (exp (gen) x) (privk b))
            (exp (gen) (mul w x)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) w) (privk a))
          (exp (gen) (mul w x)))))
    ((recv (exp (gen) (mul w x))) (send (exp (gen) (mul w x))))
    ((recv (cat (exp (gen) x) w)) (send (cat (exp (gen) x) w))))
  (label 12)
  (parent 9)
  (unrealized (0 1))
  (comment "2 in cohort - 2 not yet seen"))

(defskeleton station-to-station
  (vars (a b name) (x expn) (w expr) (x-0 expn))
  (defstrand init 3 (a a) (b b) (h (exp (gen) (mul (rec x) w x-0)))
    (x x))
  (deflistener (exp (gen) (mul w x-0)))
  (deflistener (cat (exp (gen) x-0) w))
  (defstrand init 1 (x x-0))
  (precedes ((0 0) (2 0)) ((1 1) (0 1)) ((2 1) (1 0)) ((3 0) (2 0)))
  (non-orig (privk a) (privk b))
  (precur (2 0))
  (uniq-gen x x-0)
  (operation nonce-test (added-strand init 1) (exp (gen) x-0) (2 0))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) (mul (rec x) w x-0))
          (enc
            (enc (exp (gen) (mul (rec x) w x-0)) (exp (gen) x)
              (privk b)) (exp (gen) (mul w x-0)))))
      (send
        (enc
          (enc (exp (gen) x) (exp (gen) (mul (rec x) w x-0)) (privk a))
          (exp (gen) (mul w x-0)))))
    ((recv (exp (gen) (mul w x-0))) (send (exp (gen) (mul w x-0))))
    ((recv (cat (exp (gen) x-0) w)) (send (cat (exp (gen) x-0) w)))
    ((send (exp (gen) x-0))))
  (label 13)
  (parent 9)
  (unrealized (0 1))
  (comment "3 in cohort - 3 not yet seen"))

(defskeleton station-to-station
  (vars (a b b-0 name) (h base) (x expn) (w expr) (y expn))
  (defstrand init 3 (a a) (b b) (h (exp (gen) (mul (rec x) w y))) (x x))
  (deflistener (exp (gen) (mul w y)))
  (deflistener (cat (exp (gen) y) w))
  (defstrand resp 2 (b b-0) (h h) (y y))
  (precedes ((0 0) (2 0)) ((1 1) (0 1)) ((2 1) (1 0)) ((3 1) (2 0)))
  (absent (y h))
  (non-orig (privk a) (privk b))
  (precur (2 0))
  (uniq-gen x y)
  (operation nonce-test (added-strand resp 2) (exp (gen) y) (2 0))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) (mul (rec x) w y))
          (enc
            (enc (exp (gen) (mul (rec x) w y)) (exp (gen) x) (privk b))
            (exp (gen) (mul w y)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) (mul (rec x) w y)) (privk a))
          (exp (gen) (mul w y)))))
    ((recv (exp (gen) (mul w y))) (send (exp (gen) (mul w y))))
    ((recv (cat (exp (gen) y) w)) (send (cat (exp (gen) y) w)))
    ((recv h)
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) h (privk b-0)) (exp h y))))))
  (label 14)
  (parent 9)
  (unrealized (0 1))
  (comment "3 in cohort - 3 not yet seen"))

(defskeleton station-to-station
  (vars (a b b-0 name) (x x-0 expn))
  (defstrand init 3 (a a) (b b) (h (exp (gen) x-0)) (x x))
  (defstrand init 3 (a b) (b b-0) (h (exp (gen) x)) (x x-0))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (gen) (mul 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)
  (precur (3 0))
  (operation nonce-test (contracted (x-1 x) (x-2 x-0) (w (mul x x-0)))
    (gen) (3 0))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) x-0)
          (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) x-0) (privk a))
          (exp (gen) (mul x x-0)))))
    ((send (exp (gen) x-0))
      (recv
        (cat (exp (gen) x)
          (enc (enc (exp (gen) x) (exp (gen) x-0) (privk b-0))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
          (exp (gen) (mul x x-0)))))
    ((recv (exp (gen) (mul x x-0))) (send (exp (gen) (mul x x-0))))
    ((recv (cat (gen) (mul x x-0))) (send (cat (gen) (mul x x-0)))))
  (label 15)
  (parent 10)
  (unrealized (2 0) (3 0))
  (comment "empty cohort"))

(defskeleton station-to-station
  (vars (a b b-0 name) (x x-0 expn))
  (defstrand init 3 (a a) (b b) (h (exp (gen) x)) (x x-0))
  (defstrand init 3 (a b) (b b-0) (h (exp (gen) x-0)) (x x))
  (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))
  (precur (3 0))
  (uniq-gen x x-0)
  (operation nonce-test (displaced 4 0 init 1) (exp (gen) x-1) (3 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 16)
  (parent 10)
  (unrealized (3 0))
  (comment "empty cohort"))

(defskeleton station-to-station
  (vars (a b b-0 name) (x x-0 expn))
  (defstrand init 3 (a a) (b b) (h (exp (gen) x-0)) (x x))
  (defstrand init 3 (a b) (b b-0) (h (exp (gen) x)) (x 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))
  (precur (3 0))
  (uniq-gen x x-0)
  (operation nonce-test (displaced 4 1 init 1) (exp (gen) x-1) (3 0))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) x-0)
          (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) x-0) (privk a))
          (exp (gen) (mul x x-0)))))
    ((send (exp (gen) x-0))
      (recv
        (cat (exp (gen) x)
          (enc (enc (exp (gen) x) (exp (gen) x-0) (privk b-0))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x-0) (exp (gen) x) (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 17)
  (parent 10)
  (unrealized (3 0))
  (comment "empty cohort"))

(defskeleton station-to-station
  (vars (a b b-0 name) (x x-0 x-1 expn))
  (defstrand init 3 (a a) (b b) (h (exp (gen) x-0)) (x x))
  (defstrand init 3 (a b) (b b-0) (h (exp (gen) x)) (x x-0))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (exp (gen) x-1) (mul x x-0 (rec x-1))))
  (defstrand init 1 (x x-1))
  (precedes ((0 0) (3 0)) ((1 0) (3 0)) ((1 2) (0 1)) ((2 1) (1 1))
    ((3 1) (2 0)) ((4 0) (3 0)))
  (non-orig (privk a) (privk b))
  (precur (3 0))
  (uniq-gen x x-0 x-1)
  (operation nonce-test (added-strand init 1) (exp (gen) x-1) (3 0))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) x-0)
          (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) x-0) (privk a))
          (exp (gen) (mul x x-0)))))
    ((send (exp (gen) x-0))
      (recv
        (cat (exp (gen) x)
          (enc (enc (exp (gen) x) (exp (gen) x-0) (privk b-0))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x-0) (exp (gen) x) (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-1) (mul x x-0 (rec x-1))))
      (send (cat (exp (gen) x-1) (mul x x-0 (rec x-1)))))
    ((send (exp (gen) x-1))))
  (label 18)
  (parent 10)
  (unrealized (2 0) (3 0))
  (comment "empty cohort"))

(defskeleton station-to-station
  (vars (a b b-0 b-1 name) (h base) (x x-0 y expn))
  (defstrand init 3 (a a) (b b) (h (exp (gen) x-0)) (x x))
  (defstrand init 3 (a b) (b b-0) (h (exp (gen) x)) (x x-0))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (exp (gen) y) (mul x x-0 (rec y))))
  (defstrand resp 2 (b b-1) (h h) (y y))
  (precedes ((0 0) (3 0)) ((1 0) (3 0)) ((1 2) (0 1)) ((2 1) (1 1))
    ((3 1) (2 0)) ((4 1) (3 0)))
  (absent (y h))
  (non-orig (privk a) (privk b))
  (precur (3 0))
  (uniq-gen x x-0 y)
  (operation nonce-test (added-strand resp 2) (exp (gen) y) (3 0))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) x-0)
          (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) x-0) (privk a))
          (exp (gen) (mul x x-0)))))
    ((send (exp (gen) x-0))
      (recv
        (cat (exp (gen) x)
          (enc (enc (exp (gen) x) (exp (gen) x-0) (privk b-0))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x-0) (exp (gen) x) (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) y) (mul x x-0 (rec y))))
      (send (cat (exp (gen) y) (mul x x-0 (rec y)))))
    ((recv h)
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) h (privk b-1)) (exp h y))))))
  (label 19)
  (parent 10)
  (unrealized (2 0) (3 0))
  (comment "empty cohort"))

(defskeleton station-to-station
  (vars (a b b-0 name) (x x-0 expn))
  (defstrand init 3 (a a) (b b) (h (exp (gen) x-0)) (x x))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (gen) (mul x x-0)))
  (defstrand init 3 (a b) (b b-0) (h (exp (gen) x)) (x x-0))
  (precedes ((0 0) (2 0)) ((0 0) (3 1)) ((1 1) (0 1)) ((2 1) (1 0))
    ((3 0) (2 0)) ((3 2) (0 1)))
  (non-orig (privk a) (privk b))
  (precur (2 0))
  (uniq-gen x x-0)
  (operation encryption-test (added-strand init 3)
    (enc (exp (gen) x-0) (exp (gen) x) (privk b)) (0 1))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) x-0)
          (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) x-0) (privk a))
          (exp (gen) (mul x x-0)))))
    ((recv (exp (gen) (mul x x-0))) (send (exp (gen) (mul x x-0))))
    ((recv (cat (gen) (mul x x-0))) (send (cat (gen) (mul x x-0))))
    ((send (exp (gen) x-0))
      (recv
        (cat (exp (gen) x)
          (enc (enc (exp (gen) x) (exp (gen) x-0) (privk b-0))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
          (exp (gen) (mul x x-0))))))
  (label 20)
  (parent 11)
  (unrealized (1 0) (2 0) (3 1))
  (comment "1 in cohort - 1 not yet seen"))

(defskeleton station-to-station
  (vars (a b name) (x y expn))
  (defstrand init 3 (a a) (b b) (h (exp (gen) y)) (x x))
  (deflistener (exp (gen) (mul x y)))
  (deflistener (cat (gen) (mul x y)))
  (defstrand resp 2 (b b) (h (exp (gen) x)) (y y))
  (precedes ((0 0) (3 0)) ((1 1) (0 1)) ((2 1) (1 0)) ((3 1) (2 0)))
  (absent (y (exp (gen) x)))
  (non-orig (privk a) (privk b))
  (precur (2 0))
  (uniq-gen x y)
  (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 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 (gen) (mul x y))) (send (cat (gen) (mul x y))))
    ((recv (exp (gen) x))
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) (exp (gen) x) (privk b))
            (exp (gen) (mul x y)))))))
  (label 21)
  (parent 11)
  (unrealized (1 0) (2 0))
  (comment "empty cohort"))

(defskeleton station-to-station
  (vars (a b b-0 name) (x x-0 expn))
  (defstrand init 3 (a a) (b b) (h (exp (gen) x-0)) (x x))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (exp (gen) x) x-0))
  (defstrand init 3 (a b) (b b-0) (h (exp (gen) x)) (x x-0))
  (precedes ((0 0) (2 0)) ((0 0) (3 1)) ((1 1) (0 1)) ((2 1) (1 0))
    ((3 0) (2 0)) ((3 2) (0 1)))
  (non-orig (privk a) (privk b))
  (precur (2 0))
  (uniq-gen x x-0)
  (operation encryption-test (added-strand init 3)
    (enc (exp (gen) x-0) (exp (gen) x) (privk b)) (0 1))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) x-0)
          (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) x-0) (privk a))
          (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)))
    ((send (exp (gen) x-0))
      (recv
        (cat (exp (gen) x)
          (enc (enc (exp (gen) x) (exp (gen) x-0) (privk b-0))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
          (exp (gen) (mul x x-0))))))
  (label 22)
  (parent 12)
  (unrealized (2 0) (3 1))
  (comment "1 in cohort - 1 not yet seen"))

(defskeleton station-to-station
  (vars (a b name) (x y expn))
  (defstrand init 3 (a a) (b b) (h (exp (gen) y)) (x x))
  (deflistener (exp (gen) (mul x y)))
  (deflistener (cat (exp (gen) x) y))
  (defstrand resp 2 (b b) (h (exp (gen) x)) (y y))
  (precedes ((0 0) (3 0)) ((1 1) (0 1)) ((2 1) (1 0)) ((3 1) (2 0)))
  (absent (y (exp (gen) x)))
  (non-orig (privk a) (privk b))
  (precur (2 0))
  (uniq-gen x y)
  (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 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)))
    ((recv (exp (gen) x))
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) (exp (gen) x) (privk b))
            (exp (gen) (mul x y)))))))
  (label 23)
  (parent 12)
  (unrealized (2 0))
  (comment "empty cohort"))

(defskeleton station-to-station
  (vars (a b b-0 name) (x x-0 expn))
  (defstrand init 3 (a a) (b b) (h (exp (gen) x-0)) (x x))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (exp (gen) x-0) x))
  (defstrand init 3 (a b) (b b-0) (h (exp (gen) x)) (x x-0))
  (precedes ((0 0) (2 0)) ((0 0) (3 1)) ((1 1) (0 1)) ((2 1) (1 0))
    ((3 0) (2 0)) ((3 2) (0 1)))
  (non-orig (privk a) (privk b))
  (precur (2 0))
  (uniq-gen x x-0)
  (operation encryption-test (displaced 3 4 init 3)
    (enc (exp (gen) x-1) (exp (gen) x) (privk b)) (0 1))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) x-0)
          (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) x-0) (privk a))
          (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)))
    ((send (exp (gen) x-0))
      (recv
        (cat (exp (gen) x)
          (enc (enc (exp (gen) x) (exp (gen) x-0) (privk b-0))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
          (exp (gen) (mul x x-0))))))
  (label 24)
  (parent 13)
  (unrealized (2 0) (3 1))
  (comment "1 in cohort - 1 not yet seen"))

(defskeleton station-to-station
  (vars (a b b-0 name) (x x-0 x-1 expn))
  (defstrand init 3 (a a) (b b) (h (exp (gen) x-1)) (x x))
  (deflistener (exp (gen) (mul x x-1)))
  (deflistener (cat (exp (gen) x-0) (mul x (rec x-0) x-1)))
  (defstrand init 1 (x x-0))
  (defstrand init 3 (a b) (b b-0) (h (exp (gen) x)) (x x-1))
  (precedes ((0 0) (2 0)) ((0 0) (4 1)) ((1 1) (0 1)) ((2 1) (1 0))
    ((3 0) (2 0)) ((4 0) (2 0)) ((4 2) (0 1)))
  (non-orig (privk a) (privk b))
  (precur (2 0))
  (uniq-gen x x-0 x-1)
  (operation encryption-test (added-strand init 3)
    (enc (exp (gen) x-1) (exp (gen) x) (privk b)) (0 1))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) x-1)
          (enc (enc (exp (gen) x-1) (exp (gen) x) (privk b))
            (exp (gen) (mul x x-1)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) x-1) (privk a))
          (exp (gen) (mul x x-1)))))
    ((recv (exp (gen) (mul x x-1))) (send (exp (gen) (mul x x-1))))
    ((recv (cat (exp (gen) x-0) (mul x (rec x-0) x-1)))
      (send (cat (exp (gen) x-0) (mul x (rec x-0) x-1))))
    ((send (exp (gen) x-0)))
    ((send (exp (gen) x-1))
      (recv
        (cat (exp (gen) x)
          (enc (enc (exp (gen) x) (exp (gen) x-1) (privk b-0))
            (exp (gen) (mul x x-1)))))
      (send
        (enc (enc (exp (gen) x-1) (exp (gen) x) (privk b))
          (exp (gen) (mul x x-1))))))
  (label 25)
  (parent 13)
  (unrealized (1 0) (2 0) (4 1))
  (comment "1 in cohort - 1 not yet seen"))

(defskeleton station-to-station
  (vars (a b name) (x x-0 y expn))
  (defstrand init 3 (a a) (b b) (h (exp (gen) y)) (x x))
  (deflistener (exp (gen) (mul x y)))
  (deflistener (cat (exp (gen) x-0) (mul x (rec x-0) y)))
  (defstrand init 1 (x x-0))
  (defstrand resp 2 (b b) (h (exp (gen) x)) (y y))
  (precedes ((0 0) (4 0)) ((1 1) (0 1)) ((2 1) (1 0)) ((3 0) (2 0))
    ((4 1) (2 0)))
  (absent (y (exp (gen) x)))
  (non-orig (privk a) (privk b))
  (precur (2 0))
  (uniq-gen x x-0 y)
  (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 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-0) (mul x (rec x-0) y)))
      (send (cat (exp (gen) x-0) (mul x (rec x-0) y))))
    ((send (exp (gen) x-0)))
    ((recv (exp (gen) x))
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) (exp (gen) x) (privk b))
            (exp (gen) (mul x y)))))))
  (label 26)
  (parent 13)
  (unrealized (1 0) (2 0))
  (comment "empty cohort"))

(defskeleton station-to-station
  (vars (a b b-0 b-1 name) (h base) (x y x-0 expn))
  (defstrand init 3 (a a) (b b) (h (exp (gen) x-0)) (x x))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (exp (gen) y) (mul x (rec y) x-0)))
  (defstrand resp 2 (b b-0) (h h) (y y))
  (defstrand init 3 (a b) (b b-1) (h (exp (gen) x)) (x x-0))
  (precedes ((0 0) (2 0)) ((0 0) (4 1)) ((1 1) (0 1)) ((2 1) (1 0))
    ((3 1) (2 0)) ((4 0) (2 0)) ((4 2) (0 1)))
  (absent (y h))
  (non-orig (privk a) (privk b))
  (precur (2 0))
  (uniq-gen x y x-0)
  (operation encryption-test (added-strand init 3)
    (enc (exp (gen) x-0) (exp (gen) x) (privk b)) (0 1))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) x-0)
          (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) x-0) (privk a))
          (exp (gen) (mul x x-0)))))
    ((recv (exp (gen) (mul x x-0))) (send (exp (gen) (mul x x-0))))
    ((recv (cat (exp (gen) y) (mul x (rec y) x-0)))
      (send (cat (exp (gen) y) (mul x (rec y) x-0))))
    ((recv h)
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) h (privk b-0)) (exp h y)))))
    ((send (exp (gen) x-0))
      (recv
        (cat (exp (gen) x)
          (enc (enc (exp (gen) x) (exp (gen) x-0) (privk b-1))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
          (exp (gen) (mul x x-0))))))
  (label 27)
  (parent 14)
  (unrealized (1 0) (2 0) (4 1))
  (comment "1 in cohort - 1 not yet seen"))

(defskeleton station-to-station
  (vars (a b name) (x y expn))
  (defstrand init 3 (a a) (b b) (h (exp (gen) y)) (x x))
  (deflistener (exp (gen) (mul x y)))
  (deflistener (cat (exp (gen) y) x))
  (defstrand resp 2 (b b) (h (exp (gen) x)) (y y))
  (precedes ((0 0) (3 0)) ((1 1) (0 1)) ((2 1) (1 0)) ((3 1) (2 0)))
  (absent (y (exp (gen) x)))
  (non-orig (privk a) (privk b))
  (precur (2 0))
  (uniq-gen x y)
  (operation encryption-test (displaced 4 3 resp 2)
    (enc (exp (gen) y-0) (exp (gen) x) (privk b-0)) (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 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)))
    ((recv (exp (gen) x))
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) (exp (gen) x) (privk b))
            (exp (gen) (mul x y)))))))
  (label 28)
  (parent 14)
  (unrealized (2 0))
  (comment "empty cohort"))

(defskeleton station-to-station
  (vars (a b b-0 name) (h base) (x y y-0 expn))
  (defstrand init 3 (a a) (b b) (h (exp (gen) y-0)) (x x))
  (deflistener (exp (gen) (mul x y-0)))
  (deflistener (cat (exp (gen) y) (mul x (rec y) y-0)))
  (defstrand resp 2 (b b-0) (h h) (y y))
  (defstrand resp 2 (b b) (h (exp (gen) x)) (y y-0))
  (precedes ((0 0) (4 0)) ((1 1) (0 1)) ((2 1) (1 0)) ((3 1) (2 0))
    ((4 1) (2 0)))
  (absent (y-0 (exp (gen) x)) (y h))
  (non-orig (privk a) (privk b))
  (precur (2 0))
  (uniq-gen x y y-0)
  (operation encryption-test (added-strand resp 2)
    (enc (exp (gen) y-0) (exp (gen) x) (privk b)) (0 1))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) y-0)
          (enc (enc (exp (gen) y-0) (exp (gen) x) (privk b))
            (exp (gen) (mul x y-0)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) y-0) (privk a))
          (exp (gen) (mul x y-0)))))
    ((recv (exp (gen) (mul x y-0))) (send (exp (gen) (mul x y-0))))
    ((recv (cat (exp (gen) y) (mul x (rec y) y-0)))
      (send (cat (exp (gen) y) (mul x (rec y) y-0))))
    ((recv h)
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) h (privk b-0)) (exp h y)))))
    ((recv (exp (gen) x))
      (send
        (cat (exp (gen) y-0)
          (enc (enc (exp (gen) y-0) (exp (gen) x) (privk b))
            (exp (gen) (mul x y-0)))))))
  (label 29)
  (parent 14)
  (unrealized (1 0) (2 0))
  (comment "empty cohort"))

(defskeleton station-to-station
  (vars (a b b-0 name) (x x-0 expn))
  (defstrand init 3 (a a) (b b) (h (exp (gen) x-0)) (x x))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (gen) (mul x x-0)))
  (defstrand init 3 (a b) (b b-0) (h (exp (gen) x)) (x x-0))
  (deflistener (exp (gen) (mul x x-0)))
  (precedes ((0 0) (2 0)) ((0 0) (4 0)) ((1 1) (0 1)) ((2 1) (1 0))
    ((3 0) (2 0)) ((3 0) (4 0)) ((3 2) (0 1)) ((4 1) (3 1)))
  (non-orig (privk a) (privk b))
  (precur (2 0))
  (uniq-gen x x-0)
  (operation encryption-test (added-listener (exp (gen) (mul x x-0)))
    (enc (enc (exp (gen) x) (exp (gen) x-0) (privk b-0))
      (exp (gen) (mul x x-0))) (3 1))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) x-0)
          (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) x-0) (privk a))
          (exp (gen) (mul x x-0)))))
    ((recv (exp (gen) (mul x x-0))) (send (exp (gen) (mul x x-0))))
    ((recv (cat (gen) (mul x x-0))) (send (cat (gen) (mul x x-0))))
    ((send (exp (gen) x-0))
      (recv
        (cat (exp (gen) x)
          (enc (enc (exp (gen) x) (exp (gen) x-0) (privk b-0))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
          (exp (gen) (mul x x-0)))))
    ((recv (exp (gen) (mul x x-0))) (send (exp (gen) (mul x x-0)))))
  (label 30)
  (parent 20)
  (unrealized (1 0) (2 0) (4 0))
  (comment "1 in cohort - 1 not yet seen"))

(defskeleton station-to-station
  (vars (a b b-0 name) (x x-0 expn))
  (defstrand init 3 (a a) (b b) (h (exp (gen) x-0)) (x x))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (exp (gen) x) x-0))
  (defstrand init 3 (a b) (b b-0) (h (exp (gen) x)) (x x-0))
  (deflistener (exp (gen) (mul x x-0)))
  (precedes ((0 0) (2 0)) ((0 0) (4 0)) ((1 1) (0 1)) ((2 1) (1 0))
    ((3 0) (2 0)) ((3 0) (4 0)) ((3 2) (0 1)) ((4 1) (3 1)))
  (non-orig (privk a) (privk b))
  (precur (2 0))
  (uniq-gen x x-0)
  (operation encryption-test (added-listener (exp (gen) (mul x x-0)))
    (enc (enc (exp (gen) x) (exp (gen) x-0) (privk b-0))
      (exp (gen) (mul x x-0))) (3 1))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) x-0)
          (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) x-0) (privk a))
          (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)))
    ((send (exp (gen) x-0))
      (recv
        (cat (exp (gen) x)
          (enc (enc (exp (gen) x) (exp (gen) x-0) (privk b-0))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
          (exp (gen) (mul x x-0)))))
    ((recv (exp (gen) (mul x x-0))) (send (exp (gen) (mul x x-0)))))
  (label 31)
  (parent 22)
  (unrealized (2 0) (4 0))
  (comment "1 in cohort - 1 not yet seen"))

(defskeleton station-to-station
  (vars (a b b-0 name) (x x-0 expn))
  (defstrand init 3 (a a) (b b) (h (exp (gen) x-0)) (x x))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (exp (gen) x-0) x))
  (defstrand init 3 (a b) (b b-0) (h (exp (gen) x)) (x x-0))
  (deflistener (exp (gen) (mul x x-0)))
  (precedes ((0 0) (2 0)) ((0 0) (4 0)) ((1 1) (0 1)) ((2 1) (1 0))
    ((3 0) (2 0)) ((3 0) (4 0)) ((3 2) (0 1)) ((4 1) (3 1)))
  (non-orig (privk a) (privk b))
  (precur (2 0))
  (uniq-gen x x-0)
  (operation encryption-test (added-listener (exp (gen) (mul x x-0)))
    (enc (enc (exp (gen) x) (exp (gen) x-0) (privk b-0))
      (exp (gen) (mul x x-0))) (3 1))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) x-0)
          (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) x-0) (privk a))
          (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)))
    ((send (exp (gen) x-0))
      (recv
        (cat (exp (gen) x)
          (enc (enc (exp (gen) x) (exp (gen) x-0) (privk b-0))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
          (exp (gen) (mul x x-0)))))
    ((recv (exp (gen) (mul x x-0))) (send (exp (gen) (mul x x-0)))))
  (label 32)
  (parent 24)
  (unrealized (2 0) (4 0))
  (comment "1 in cohort - 1 not yet seen"))

(defskeleton station-to-station
  (vars (a b b-0 name) (x x-0 x-1 expn))
  (defstrand init 3 (a a) (b b) (h (exp (gen) x-1)) (x x))
  (deflistener (exp (gen) (mul x x-1)))
  (deflistener (cat (exp (gen) x-0) (mul x (rec x-0) x-1)))
  (defstrand init 1 (x x-0))
  (defstrand init 3 (a b) (b b-0) (h (exp (gen) x)) (x x-1))
  (deflistener (exp (gen) (mul x x-1)))
  (precedes ((0 0) (2 0)) ((0 0) (5 0)) ((1 1) (0 1)) ((2 1) (1 0))
    ((3 0) (2 0)) ((4 0) (2 0)) ((4 0) (5 0)) ((4 2) (0 1))
    ((5 1) (4 1)))
  (non-orig (privk a) (privk b))
  (precur (2 0))
  (uniq-gen x x-0 x-1)
  (operation encryption-test (added-listener (exp (gen) (mul x x-1)))
    (enc (enc (exp (gen) x) (exp (gen) x-1) (privk b-0))
      (exp (gen) (mul x x-1))) (4 1))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) x-1)
          (enc (enc (exp (gen) x-1) (exp (gen) x) (privk b))
            (exp (gen) (mul x x-1)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) x-1) (privk a))
          (exp (gen) (mul x x-1)))))
    ((recv (exp (gen) (mul x x-1))) (send (exp (gen) (mul x x-1))))
    ((recv (cat (exp (gen) x-0) (mul x (rec x-0) x-1)))
      (send (cat (exp (gen) x-0) (mul x (rec x-0) x-1))))
    ((send (exp (gen) x-0)))
    ((send (exp (gen) x-1))
      (recv
        (cat (exp (gen) x)
          (enc (enc (exp (gen) x) (exp (gen) x-1) (privk b-0))
            (exp (gen) (mul x x-1)))))
      (send
        (enc (enc (exp (gen) x-1) (exp (gen) x) (privk b))
          (exp (gen) (mul x x-1)))))
    ((recv (exp (gen) (mul x x-1))) (send (exp (gen) (mul x x-1)))))
  (label 33)
  (parent 25)
  (unrealized (1 0) (2 0) (5 0))
  (comment "1 in cohort - 1 not yet seen"))

(defskeleton station-to-station
  (vars (a b b-0 b-1 name) (h base) (x y x-0 expn))
  (defstrand init 3 (a a) (b b) (h (exp (gen) x-0)) (x x))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (exp (gen) y) (mul x (rec y) x-0)))
  (defstrand resp 2 (b b-0) (h h) (y y))
  (defstrand init 3 (a b) (b b-1) (h (exp (gen) x)) (x x-0))
  (deflistener (exp (gen) (mul x x-0)))
  (precedes ((0 0) (2 0)) ((0 0) (5 0)) ((1 1) (0 1)) ((2 1) (1 0))
    ((3 1) (2 0)) ((4 0) (2 0)) ((4 0) (5 0)) ((4 2) (0 1))
    ((5 1) (4 1)))
  (absent (y h))
  (non-orig (privk a) (privk b))
  (precur (2 0))
  (uniq-gen x y x-0)
  (operation encryption-test (added-listener (exp (gen) (mul x x-0)))
    (enc (enc (exp (gen) x) (exp (gen) x-0) (privk b-1))
      (exp (gen) (mul x x-0))) (4 1))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) x-0)
          (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) x-0) (privk a))
          (exp (gen) (mul x x-0)))))
    ((recv (exp (gen) (mul x x-0))) (send (exp (gen) (mul x x-0))))
    ((recv (cat (exp (gen) y) (mul x (rec y) x-0)))
      (send (cat (exp (gen) y) (mul x (rec y) x-0))))
    ((recv h)
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) h (privk b-0)) (exp h y)))))
    ((send (exp (gen) x-0))
      (recv
        (cat (exp (gen) x)
          (enc (enc (exp (gen) x) (exp (gen) x-0) (privk b-1))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
          (exp (gen) (mul x x-0)))))
    ((recv (exp (gen) (mul x x-0))) (send (exp (gen) (mul x x-0)))))
  (label 34)
  (parent 27)
  (unrealized (1 0) (2 0) (5 0))
  (comment "1 in cohort - 1 not yet seen"))

(defskeleton station-to-station
  (vars (a b b-0 name) (x x-0 expn) (w expr))
  (defstrand init 3 (a a) (b b) (h (exp (gen) x-0)) (x x))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (gen) (mul x x-0)))
  (defstrand init 3 (a b) (b b-0) (h (exp (gen) x)) (x x-0))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (exp (gen) (mul x x-0 (rec w))) w))
  (precedes ((0 0) (2 0)) ((0 0) (5 0)) ((1 1) (0 1)) ((2 1) (1 0))
    ((3 0) (2 0)) ((3 0) (5 0)) ((3 2) (0 1)) ((4 1) (3 1))
    ((5 1) (4 0)))
  (non-orig (privk a) (privk b))
  (precur (5 0) (2 0))
  (uniq-gen x x-0)
  (operation nonce-test
    (added-listener (cat (exp (gen) (mul x x-0 (rec w))) w))
    (exp (gen) (mul x x-0)) (4 0))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) x-0)
          (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) x-0) (privk a))
          (exp (gen) (mul x x-0)))))
    ((recv (exp (gen) (mul x x-0))) (send (exp (gen) (mul x x-0))))
    ((recv (cat (gen) (mul x x-0))) (send (cat (gen) (mul x x-0))))
    ((send (exp (gen) x-0))
      (recv
        (cat (exp (gen) x)
          (enc (enc (exp (gen) x) (exp (gen) x-0) (privk b-0))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x-0) (exp (gen) x) (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) (mul x x-0 (rec w))) w))
      (send (cat (exp (gen) (mul x x-0 (rec w))) w))))
  (label 35)
  (parent 30)
  (unrealized (1 0) (2 0) (5 0))
  (comment "5 in cohort - 5 not yet seen"))

(defskeleton station-to-station
  (vars (a b b-0 name) (x x-0 expn) (w expr))
  (defstrand init 3 (a a) (b b) (h (exp (gen) x-0)) (x x))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (exp (gen) x) x-0))
  (defstrand init 3 (a b) (b b-0) (h (exp (gen) x)) (x x-0))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (exp (gen) (mul x x-0 (rec w))) w))
  (precedes ((0 0) (2 0)) ((0 0) (5 0)) ((1 1) (0 1)) ((2 1) (1 0))
    ((3 0) (2 0)) ((3 0) (5 0)) ((3 2) (0 1)) ((4 1) (3 1))
    ((5 1) (4 0)))
  (non-orig (privk a) (privk b))
  (precur (5 0) (2 0))
  (uniq-gen x x-0)
  (operation nonce-test
    (added-listener (cat (exp (gen) (mul x x-0 (rec w))) w))
    (exp (gen) (mul x x-0)) (4 0))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) x-0)
          (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) x-0) (privk a))
          (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)))
    ((send (exp (gen) x-0))
      (recv
        (cat (exp (gen) x)
          (enc (enc (exp (gen) x) (exp (gen) x-0) (privk b-0))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x-0) (exp (gen) x) (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) (mul x x-0 (rec w))) w))
      (send (cat (exp (gen) (mul x x-0 (rec w))) w))))
  (label 36)
  (parent 31)
  (unrealized (2 0) (5 0))
  (comment "5 in cohort - 5 not yet seen"))

(defskeleton station-to-station
  (vars (a b b-0 name) (x x-0 expn) (w expr))
  (defstrand init 3 (a a) (b b) (h (exp (gen) x-0)) (x x))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (exp (gen) x-0) x))
  (defstrand init 3 (a b) (b b-0) (h (exp (gen) x)) (x x-0))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (exp (gen) (mul x x-0 (rec w))) w))
  (precedes ((0 0) (2 0)) ((0 0) (5 0)) ((1 1) (0 1)) ((2 1) (1 0))
    ((3 0) (2 0)) ((3 0) (5 0)) ((3 2) (0 1)) ((4 1) (3 1))
    ((5 1) (4 0)))
  (non-orig (privk a) (privk b))
  (precur (5 0) (2 0))
  (uniq-gen x x-0)
  (operation nonce-test
    (added-listener (cat (exp (gen) (mul x x-0 (rec w))) w))
    (exp (gen) (mul x x-0)) (4 0))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) x-0)
          (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) x-0) (privk a))
          (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)))
    ((send (exp (gen) x-0))
      (recv
        (cat (exp (gen) x)
          (enc (enc (exp (gen) x) (exp (gen) x-0) (privk b-0))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x-0) (exp (gen) x) (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) (mul x x-0 (rec w))) w))
      (send (cat (exp (gen) (mul x x-0 (rec w))) w))))
  (label 37)
  (parent 32)
  (unrealized (2 0) (5 0))
  (comment "5 in cohort - 5 not yet seen"))

(defskeleton station-to-station
  (vars (a b b-0 name) (x x-0 x-1 expn) (w expr))
  (defstrand init 3 (a a) (b b) (h (exp (gen) x-1)) (x x))
  (deflistener (exp (gen) (mul x x-1)))
  (deflistener (cat (exp (gen) x-0) (mul x (rec x-0) x-1)))
  (defstrand init 1 (x x-0))
  (defstrand init 3 (a b) (b b-0) (h (exp (gen) x)) (x x-1))
  (deflistener (exp (gen) (mul x x-1)))
  (deflistener (cat (exp (gen) (mul x x-1 (rec w))) w))
  (precedes ((0 0) (2 0)) ((0 0) (6 0)) ((1 1) (0 1)) ((2 1) (1 0))
    ((3 0) (2 0)) ((4 0) (2 0)) ((4 0) (6 0)) ((4 2) (0 1))
    ((5 1) (4 1)) ((6 1) (5 0)))
  (non-orig (privk a) (privk b))
  (precur (6 0) (2 0))
  (uniq-gen x x-0 x-1)
  (operation nonce-test
    (added-listener (cat (exp (gen) (mul x x-1 (rec w))) w))
    (exp (gen) (mul x x-1)) (5 0))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) x-1)
          (enc (enc (exp (gen) x-1) (exp (gen) x) (privk b))
            (exp (gen) (mul x x-1)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) x-1) (privk a))
          (exp (gen) (mul x x-1)))))
    ((recv (exp (gen) (mul x x-1))) (send (exp (gen) (mul x x-1))))
    ((recv (cat (exp (gen) x-0) (mul x (rec x-0) x-1)))
      (send (cat (exp (gen) x-0) (mul x (rec x-0) x-1))))
    ((send (exp (gen) x-0)))
    ((send (exp (gen) x-1))
      (recv
        (cat (exp (gen) x)
          (enc (enc (exp (gen) x) (exp (gen) x-1) (privk b-0))
            (exp (gen) (mul x x-1)))))
      (send
        (enc (enc (exp (gen) x-1) (exp (gen) x) (privk b))
          (exp (gen) (mul x x-1)))))
    ((recv (exp (gen) (mul x x-1))) (send (exp (gen) (mul x x-1))))
    ((recv (cat (exp (gen) (mul x x-1 (rec w))) w))
      (send (cat (exp (gen) (mul x x-1 (rec w))) w))))
  (label 38)
  (parent 33)
  (unrealized (1 0) (2 0) (6 0))
  (comment "6 in cohort - 6 not yet seen"))

(defskeleton station-to-station
  (vars (a b b-0 b-1 name) (h base) (x y x-0 expn) (w expr))
  (defstrand init 3 (a a) (b b) (h (exp (gen) x-0)) (x x))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (exp (gen) y) (mul x (rec y) x-0)))
  (defstrand resp 2 (b b-0) (h h) (y y))
  (defstrand init 3 (a b) (b b-1) (h (exp (gen) x)) (x x-0))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (exp (gen) (mul x x-0 (rec w))) w))
  (precedes ((0 0) (2 0)) ((0 0) (6 0)) ((1 1) (0 1)) ((2 1) (1 0))
    ((3 1) (2 0)) ((4 0) (2 0)) ((4 0) (6 0)) ((4 2) (0 1))
    ((5 1) (4 1)) ((6 1) (5 0)))
  (absent (y h))
  (non-orig (privk a) (privk b))
  (precur (6 0) (2 0))
  (uniq-gen x y x-0)
  (operation nonce-test
    (added-listener (cat (exp (gen) (mul x x-0 (rec w))) w))
    (exp (gen) (mul x x-0)) (5 0))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) x-0)
          (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) x-0) (privk a))
          (exp (gen) (mul x x-0)))))
    ((recv (exp (gen) (mul x x-0))) (send (exp (gen) (mul x x-0))))
    ((recv (cat (exp (gen) y) (mul x (rec y) x-0)))
      (send (cat (exp (gen) y) (mul x (rec y) x-0))))
    ((recv h)
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) h (privk b-0)) (exp h y)))))
    ((send (exp (gen) x-0))
      (recv
        (cat (exp (gen) x)
          (enc (enc (exp (gen) x) (exp (gen) x-0) (privk b-1))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x-0) (exp (gen) x) (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) (mul x x-0 (rec w))) w))
      (send (cat (exp (gen) (mul x x-0 (rec w))) w))))
  (label 39)
  (parent 34)
  (unrealized (1 0) (2 0) (6 0))
  (comment "6 in cohort - 6 not yet seen"))

(defskeleton station-to-station
  (vars (a b b-0 name) (x x-0 expn))
  (defstrand init 3 (a a) (b b) (h (exp (gen) x-0)) (x x))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (gen) (mul x x-0)))
  (defstrand init 3 (a b) (b b-0) (h (exp (gen) x)) (x x-0))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (gen) (mul x x-0)))
  (precedes ((0 0) (2 0)) ((0 0) (5 0)) ((1 1) (0 1)) ((2 1) (1 0))
    ((3 0) (2 0)) ((3 0) (5 0)) ((3 2) (0 1)) ((4 1) (3 1))
    ((5 1) (4 0)))
  (non-orig (privk a) (privk b))
  (precur (5 0) (2 0))
  (uniq-gen x x-0)
  (operation nonce-test (contracted (x-1 x) (x-2 x-0) (w (mul x x-0)))
    (gen) (5 0))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) x-0)
          (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) x-0) (privk a))
          (exp (gen) (mul x x-0)))))
    ((recv (exp (gen) (mul x x-0))) (send (exp (gen) (mul x x-0))))
    ((recv (cat (gen) (mul x x-0))) (send (cat (gen) (mul x x-0))))
    ((send (exp (gen) x-0))
      (recv
        (cat (exp (gen) x)
          (enc (enc (exp (gen) x) (exp (gen) x-0) (privk b-0))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
          (exp (gen) (mul x x-0)))))
    ((recv (exp (gen) (mul x x-0))) (send (exp (gen) (mul x x-0))))
    ((recv (cat (gen) (mul x x-0))) (send (cat (gen) (mul x x-0)))))
  (label 40)
  (parent 35)
  (unrealized (1 0) (2 0) (4 0) (5 0))
  (comment "empty cohort"))

(defskeleton station-to-station
  (vars (a b b-0 name) (x x-0 expn))
  (defstrand init 3 (a a) (b b) (h (exp (gen) x)) (x x-0))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (gen) (mul x x-0)))
  (defstrand init 3 (a b) (b b-0) (h (exp (gen) x-0)) (x x))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (exp (gen) x-0) x))
  (precedes ((0 0) (2 0)) ((0 0) (5 0)) ((1 1) (0 1)) ((2 1) (1 0))
    ((3 0) (2 0)) ((3 0) (5 0)) ((3 2) (0 1)) ((4 1) (3 1))
    ((5 1) (4 0)))
  (non-orig (privk a) (privk b))
  (precur (5 0) (2 0))
  (uniq-gen x x-0)
  (operation nonce-test (displaced 6 0 init 1) (exp (gen) x-1) (5 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)))))
    ((recv (exp (gen) (mul x x-0))) (send (exp (gen) (mul x x-0))))
    ((recv (cat (gen) (mul x x-0))) (send (cat (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 41)
  (parent 35)
  (unrealized (1 0) (2 0) (5 0))
  (comment "empty cohort"))

(defskeleton station-to-station
  (vars (a b b-0 name) (x x-0 expn))
  (defstrand init 3 (a a) (b b) (h (exp (gen) x-0)) (x x))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (gen) (mul x x-0)))
  (defstrand init 3 (a b) (b b-0) (h (exp (gen) x)) (x x-0))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (exp (gen) x-0) x))
  (precedes ((0 0) (2 0)) ((0 0) (5 0)) ((1 1) (0 1)) ((2 1) (1 0))
    ((3 0) (2 0)) ((3 0) (5 0)) ((3 2) (0 1)) ((4 1) (3 1))
    ((5 1) (4 0)))
  (non-orig (privk a) (privk b))
  (precur (5 0) (2 0))
  (uniq-gen x x-0)
  (operation nonce-test (displaced 6 3 init 1) (exp (gen) x-1) (5 0))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) x-0)
          (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) x-0) (privk a))
          (exp (gen) (mul x x-0)))))
    ((recv (exp (gen) (mul x x-0))) (send (exp (gen) (mul x x-0))))
    ((recv (cat (gen) (mul x x-0))) (send (cat (gen) (mul x x-0))))
    ((send (exp (gen) x-0))
      (recv
        (cat (exp (gen) x)
          (enc (enc (exp (gen) x) (exp (gen) x-0) (privk b-0))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x-0) (exp (gen) x) (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 42)
  (parent 35)
  (unrealized (1 0) (2 0) (5 0))
  (comment "empty cohort"))

(defskeleton station-to-station
  (vars (a b b-0 name) (x x-0 x-1 expn))
  (defstrand init 3 (a a) (b b) (h (exp (gen) x-0)) (x x))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (gen) (mul x x-0)))
  (defstrand init 3 (a b) (b b-0) (h (exp (gen) x)) (x x-0))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (exp (gen) x-1) (mul x x-0 (rec x-1))))
  (defstrand init 1 (x x-1))
  (precedes ((0 0) (2 0)) ((0 0) (5 0)) ((1 1) (0 1)) ((2 1) (1 0))
    ((3 0) (2 0)) ((3 0) (5 0)) ((3 2) (0 1)) ((4 1) (3 1))
    ((5 1) (4 0)) ((6 0) (5 0)))
  (non-orig (privk a) (privk b))
  (precur (5 0) (2 0))
  (uniq-gen x x-0 x-1)
  (operation nonce-test (added-strand init 1) (exp (gen) x-1) (5 0))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) x-0)
          (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) x-0) (privk a))
          (exp (gen) (mul x x-0)))))
    ((recv (exp (gen) (mul x x-0))) (send (exp (gen) (mul x x-0))))
    ((recv (cat (gen) (mul x x-0))) (send (cat (gen) (mul x x-0))))
    ((send (exp (gen) x-0))
      (recv
        (cat (exp (gen) x)
          (enc (enc (exp (gen) x) (exp (gen) x-0) (privk b-0))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x-0) (exp (gen) x) (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-1) (mul x x-0 (rec x-1))))
      (send (cat (exp (gen) x-1) (mul x x-0 (rec x-1)))))
    ((send (exp (gen) x-1))))
  (label 43)
  (parent 35)
  (unrealized (1 0) (2 0) (4 0) (5 0))
  (comment "empty cohort"))

(defskeleton station-to-station
  (vars (a b b-0 b-1 name) (h base) (x x-0 y expn))
  (defstrand init 3 (a a) (b b) (h (exp (gen) x-0)) (x x))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (gen) (mul x x-0)))
  (defstrand init 3 (a b) (b b-0) (h (exp (gen) x)) (x x-0))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (exp (gen) y) (mul x x-0 (rec y))))
  (defstrand resp 2 (b b-1) (h h) (y y))
  (precedes ((0 0) (2 0)) ((0 0) (5 0)) ((1 1) (0 1)) ((2 1) (1 0))
    ((3 0) (2 0)) ((3 0) (5 0)) ((3 2) (0 1)) ((4 1) (3 1))
    ((5 1) (4 0)) ((6 1) (5 0)))
  (absent (y h))
  (non-orig (privk a) (privk b))
  (precur (5 0) (2 0))
  (uniq-gen x x-0 y)
  (operation nonce-test (added-strand resp 2) (exp (gen) y) (5 0))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) x-0)
          (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) x-0) (privk a))
          (exp (gen) (mul x x-0)))))
    ((recv (exp (gen) (mul x x-0))) (send (exp (gen) (mul x x-0))))
    ((recv (cat (gen) (mul x x-0))) (send (cat (gen) (mul x x-0))))
    ((send (exp (gen) x-0))
      (recv
        (cat (exp (gen) x)
          (enc (enc (exp (gen) x) (exp (gen) x-0) (privk b-0))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x-0) (exp (gen) x) (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) y) (mul x x-0 (rec y))))
      (send (cat (exp (gen) y) (mul x x-0 (rec y)))))
    ((recv h)
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) h (privk b-1)) (exp h y))))))
  (label 44)
  (parent 35)
  (unrealized (1 0) (2 0) (4 0) (5 0))
  (comment "empty cohort"))

(defskeleton station-to-station
  (vars (a b b-0 name) (x x-0 expn))
  (defstrand init 3 (a a) (b b) (h (exp (gen) x-0)) (x x))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (exp (gen) x) x-0))
  (defstrand init 3 (a b) (b b-0) (h (exp (gen) x)) (x x-0))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (gen) (mul x x-0)))
  (precedes ((0 0) (2 0)) ((0 0) (5 0)) ((1 1) (0 1)) ((2 1) (1 0))
    ((3 0) (2 0)) ((3 0) (5 0)) ((3 2) (0 1)) ((4 1) (3 1))
    ((5 1) (4 0)))
  (non-orig (privk a) (privk b))
  (precur (5 0) (2 0))
  (uniq-gen x x-0)
  (operation nonce-test (contracted (x-1 x) (x-2 x-0) (w (mul x x-0)))
    (gen) (5 0))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) x-0)
          (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) x-0) (privk a))
          (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)))
    ((send (exp (gen) x-0))
      (recv
        (cat (exp (gen) x)
          (enc (enc (exp (gen) x) (exp (gen) x-0) (privk b-0))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
          (exp (gen) (mul x x-0)))))
    ((recv (exp (gen) (mul x x-0))) (send (exp (gen) (mul x x-0))))
    ((recv (cat (gen) (mul x x-0))) (send (cat (gen) (mul x x-0)))))
  (label 45)
  (parent 36)
  (unrealized (2 0) (4 0) (5 0))
  (comment "empty cohort"))

(defskeleton station-to-station
  (vars (a b b-0 name) (x x-0 expn))
  (defstrand init 3 (a a) (b b) (h (exp (gen) x)) (x x-0))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (exp (gen) x-0) x))
  (defstrand init 3 (a b) (b b-0) (h (exp (gen) x-0)) (x x))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (exp (gen) x-0) x))
  (precedes ((0 0) (2 0)) ((0 0) (5 0)) ((1 1) (0 1)) ((2 1) (1 0))
    ((3 0) (2 0)) ((3 0) (5 0)) ((3 2) (0 1)) ((4 1) (3 1))
    ((5 1) (4 0)))
  (non-orig (privk a) (privk b))
  (precur (5 0) (2 0))
  (uniq-gen x x-0)
  (operation nonce-test (displaced 6 0 init 1) (exp (gen) x-1) (5 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)))))
    ((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)))
    ((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 46)
  (parent 36)
  (unrealized (2 0) (5 0))
  (comment "empty cohort"))

(defskeleton station-to-station
  (vars (a b b-0 name) (x x-0 expn))
  (defstrand init 3 (a a) (b b) (h (exp (gen) x-0)) (x x))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (exp (gen) x) x-0))
  (defstrand init 3 (a b) (b b-0) (h (exp (gen) x)) (x x-0))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (exp (gen) x-0) x))
  (precedes ((0 0) (2 0)) ((0 0) (5 0)) ((1 1) (0 1)) ((2 1) (1 0))
    ((3 0) (2 0)) ((3 0) (5 0)) ((3 2) (0 1)) ((4 1) (3 1))
    ((5 1) (4 0)))
  (non-orig (privk a) (privk b))
  (precur (5 0) (2 0))
  (uniq-gen x x-0)
  (operation nonce-test (displaced 6 3 init 1) (exp (gen) x-1) (5 0))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) x-0)
          (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) x-0) (privk a))
          (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)))
    ((send (exp (gen) x-0))
      (recv
        (cat (exp (gen) x)
          (enc (enc (exp (gen) x) (exp (gen) x-0) (privk b-0))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x-0) (exp (gen) x) (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 47)
  (parent 36)
  (unrealized (2 0) (5 0))
  (comment "empty cohort"))

(defskeleton station-to-station
  (vars (a b b-0 name) (x x-0 x-1 expn))
  (defstrand init 3 (a a) (b b) (h (exp (gen) x-0)) (x x))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (exp (gen) x) x-0))
  (defstrand init 3 (a b) (b b-0) (h (exp (gen) x)) (x x-0))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (exp (gen) x-1) (mul x x-0 (rec x-1))))
  (defstrand init 1 (x x-1))
  (precedes ((0 0) (2 0)) ((0 0) (5 0)) ((1 1) (0 1)) ((2 1) (1 0))
    ((3 0) (2 0)) ((3 0) (5 0)) ((3 2) (0 1)) ((4 1) (3 1))
    ((5 1) (4 0)) ((6 0) (5 0)))
  (non-orig (privk a) (privk b))
  (precur (5 0) (2 0))
  (uniq-gen x x-0 x-1)
  (operation nonce-test (added-strand init 1) (exp (gen) x-1) (5 0))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) x-0)
          (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) x-0) (privk a))
          (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)))
    ((send (exp (gen) x-0))
      (recv
        (cat (exp (gen) x)
          (enc (enc (exp (gen) x) (exp (gen) x-0) (privk b-0))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x-0) (exp (gen) x) (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-1) (mul x x-0 (rec x-1))))
      (send (cat (exp (gen) x-1) (mul x x-0 (rec x-1)))))
    ((send (exp (gen) x-1))))
  (label 48)
  (parent 36)
  (unrealized (2 0) (4 0) (5 0))
  (comment "empty cohort"))

(defskeleton station-to-station
  (vars (a b b-0 b-1 name) (h base) (x x-0 y expn))
  (defstrand init 3 (a a) (b b) (h (exp (gen) x-0)) (x x))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (exp (gen) x) x-0))
  (defstrand init 3 (a b) (b b-0) (h (exp (gen) x)) (x x-0))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (exp (gen) y) (mul x x-0 (rec y))))
  (defstrand resp 2 (b b-1) (h h) (y y))
  (precedes ((0 0) (2 0)) ((0 0) (5 0)) ((1 1) (0 1)) ((2 1) (1 0))
    ((3 0) (2 0)) ((3 0) (5 0)) ((3 2) (0 1)) ((4 1) (3 1))
    ((5 1) (4 0)) ((6 1) (5 0)))
  (absent (y h))
  (non-orig (privk a) (privk b))
  (precur (5 0) (2 0))
  (uniq-gen x x-0 y)
  (operation nonce-test (added-strand resp 2) (exp (gen) y) (5 0))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) x-0)
          (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) x-0) (privk a))
          (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)))
    ((send (exp (gen) x-0))
      (recv
        (cat (exp (gen) x)
          (enc (enc (exp (gen) x) (exp (gen) x-0) (privk b-0))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x-0) (exp (gen) x) (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) y) (mul x x-0 (rec y))))
      (send (cat (exp (gen) y) (mul x x-0 (rec y)))))
    ((recv h)
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) h (privk b-1)) (exp h y))))))
  (label 49)
  (parent 36)
  (unrealized (2 0) (4 0) (5 0))
  (comment "empty cohort"))

(defskeleton station-to-station
  (vars (a b b-0 name) (x x-0 expn))
  (defstrand init 3 (a a) (b b) (h (exp (gen) x-0)) (x x))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (exp (gen) x-0) x))
  (defstrand init 3 (a b) (b b-0) (h (exp (gen) x)) (x x-0))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (gen) (mul x x-0)))
  (precedes ((0 0) (2 0)) ((0 0) (5 0)) ((1 1) (0 1)) ((2 1) (1 0))
    ((3 0) (2 0)) ((3 0) (5 0)) ((3 2) (0 1)) ((4 1) (3 1))
    ((5 1) (4 0)))
  (non-orig (privk a) (privk b))
  (precur (5 0) (2 0))
  (uniq-gen x x-0)
  (operation nonce-test (contracted (x-1 x) (x-2 x-0) (w (mul x x-0)))
    (gen) (5 0))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) x-0)
          (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) x-0) (privk a))
          (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)))
    ((send (exp (gen) x-0))
      (recv
        (cat (exp (gen) x)
          (enc (enc (exp (gen) x) (exp (gen) x-0) (privk b-0))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
          (exp (gen) (mul x x-0)))))
    ((recv (exp (gen) (mul x x-0))) (send (exp (gen) (mul x x-0))))
    ((recv (cat (gen) (mul x x-0))) (send (cat (gen) (mul x x-0)))))
  (label 50)
  (parent 37)
  (unrealized (2 0) (4 0) (5 0))
  (comment "empty cohort"))

(defskeleton station-to-station
  (vars (a b b-0 name) (x x-0 expn))
  (defstrand init 3 (a a) (b b) (h (exp (gen) x)) (x x-0))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (exp (gen) x) x-0))
  (defstrand init 3 (a b) (b b-0) (h (exp (gen) x-0)) (x x))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (exp (gen) x-0) x))
  (precedes ((0 0) (2 0)) ((0 0) (5 0)) ((1 1) (0 1)) ((2 1) (1 0))
    ((3 0) (2 0)) ((3 0) (5 0)) ((3 2) (0 1)) ((4 1) (3 1))
    ((5 1) (4 0)))
  (non-orig (privk a) (privk b))
  (precur (5 0) (2 0))
  (uniq-gen x x-0)
  (operation nonce-test (displaced 6 0 init 1) (exp (gen) x-1) (5 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)))))
    ((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)))
    ((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 51)
  (parent 37)
  (unrealized (2 0) (5 0))
  (comment "empty cohort"))

(defskeleton station-to-station
  (vars (a b b-0 name) (x x-0 expn))
  (defstrand init 3 (a a) (b b) (h (exp (gen) x-0)) (x x))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (exp (gen) x-0) x))
  (defstrand init 3 (a b) (b b-0) (h (exp (gen) x)) (x x-0))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (exp (gen) x-0) x))
  (precedes ((0 0) (2 0)) ((0 0) (5 0)) ((1 1) (0 1)) ((2 1) (1 0))
    ((3 0) (2 0)) ((3 0) (5 0)) ((3 2) (0 1)) ((4 1) (3 1))
    ((5 1) (4 0)))
  (non-orig (privk a) (privk b))
  (precur (5 0) (2 0))
  (uniq-gen x x-0)
  (operation nonce-test (displaced 6 3 init 1) (exp (gen) x-1) (5 0))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) x-0)
          (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) x-0) (privk a))
          (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)))
    ((send (exp (gen) x-0))
      (recv
        (cat (exp (gen) x)
          (enc (enc (exp (gen) x) (exp (gen) x-0) (privk b-0))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x-0) (exp (gen) x) (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 52)
  (parent 37)
  (unrealized (2 0) (5 0))
  (comment "empty cohort"))

(defskeleton station-to-station
  (vars (a b b-0 name) (x x-0 x-1 expn))
  (defstrand init 3 (a a) (b b) (h (exp (gen) x-0)) (x x))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (exp (gen) x-0) x))
  (defstrand init 3 (a b) (b b-0) (h (exp (gen) x)) (x x-0))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (exp (gen) x-1) (mul x x-0 (rec x-1))))
  (defstrand init 1 (x x-1))
  (precedes ((0 0) (2 0)) ((0 0) (5 0)) ((1 1) (0 1)) ((2 1) (1 0))
    ((3 0) (2 0)) ((3 0) (5 0)) ((3 2) (0 1)) ((4 1) (3 1))
    ((5 1) (4 0)) ((6 0) (5 0)))
  (non-orig (privk a) (privk b))
  (precur (5 0) (2 0))
  (uniq-gen x x-0 x-1)
  (operation nonce-test (added-strand init 1) (exp (gen) x-1) (5 0))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) x-0)
          (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) x-0) (privk a))
          (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)))
    ((send (exp (gen) x-0))
      (recv
        (cat (exp (gen) x)
          (enc (enc (exp (gen) x) (exp (gen) x-0) (privk b-0))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x-0) (exp (gen) x) (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-1) (mul x x-0 (rec x-1))))
      (send (cat (exp (gen) x-1) (mul x x-0 (rec x-1)))))
    ((send (exp (gen) x-1))))
  (label 53)
  (parent 37)
  (unrealized (2 0) (4 0) (5 0))
  (comment "empty cohort"))

(defskeleton station-to-station
  (vars (a b b-0 b-1 name) (h base) (x x-0 y expn))
  (defstrand init 3 (a a) (b b) (h (exp (gen) x-0)) (x x))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (exp (gen) x-0) x))
  (defstrand init 3 (a b) (b b-0) (h (exp (gen) x)) (x x-0))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (exp (gen) y) (mul x x-0 (rec y))))
  (defstrand resp 2 (b b-1) (h h) (y y))
  (precedes ((0 0) (2 0)) ((0 0) (5 0)) ((1 1) (0 1)) ((2 1) (1 0))
    ((3 0) (2 0)) ((3 0) (5 0)) ((3 2) (0 1)) ((4 1) (3 1))
    ((5 1) (4 0)) ((6 1) (5 0)))
  (absent (y h))
  (non-orig (privk a) (privk b))
  (precur (5 0) (2 0))
  (uniq-gen x x-0 y)
  (operation nonce-test (added-strand resp 2) (exp (gen) y) (5 0))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) x-0)
          (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) x-0) (privk a))
          (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)))
    ((send (exp (gen) x-0))
      (recv
        (cat (exp (gen) x)
          (enc (enc (exp (gen) x) (exp (gen) x-0) (privk b-0))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x-0) (exp (gen) x) (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) y) (mul x x-0 (rec y))))
      (send (cat (exp (gen) y) (mul x x-0 (rec y)))))
    ((recv h)
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) h (privk b-1)) (exp h y))))))
  (label 54)
  (parent 37)
  (unrealized (2 0) (4 0) (5 0))
  (comment "empty cohort"))

(defskeleton station-to-station
  (vars (a b b-0 name) (x x-0 x-1 expn))
  (defstrand init 3 (a a) (b b) (h (exp (gen) x-1)) (x x-0))
  (deflistener (exp (gen) (mul x-0 x-1)))
  (deflistener (cat (exp (gen) x) (mul (rec x) x-0 x-1)))
  (defstrand init 1 (x x))
  (defstrand init 3 (a b) (b b-0) (h (exp (gen) x-0)) (x x-1))
  (deflistener (exp (gen) (mul x-0 x-1)))
  (deflistener (cat (gen) (mul x-0 x-1)))
  (precedes ((0 0) (2 0)) ((0 0) (6 0)) ((1 1) (0 1)) ((2 1) (1 0))
    ((3 0) (2 0)) ((4 0) (2 0)) ((4 0) (6 0)) ((4 2) (0 1))
    ((5 1) (4 1)) ((6 1) (5 0)))
  (non-orig (privk a) (privk b))
  (precur (6 0) (2 0))
  (uniq-gen x x-0 x-1)
  (operation nonce-test
    (contracted (x-2 x-0) (x-3 x-1) (w (mul x-0 x-1))) (gen) (6 0))
  (traces
    ((send (exp (gen) x-0))
      (recv
        (cat (exp (gen) x-1)
          (enc (enc (exp (gen) x-1) (exp (gen) x-0) (privk b))
            (exp (gen) (mul x-0 x-1)))))
      (send
        (enc (enc (exp (gen) x-0) (exp (gen) x-1) (privk a))
          (exp (gen) (mul x-0 x-1)))))
    ((recv (exp (gen) (mul x-0 x-1))) (send (exp (gen) (mul x-0 x-1))))
    ((recv (cat (exp (gen) x) (mul (rec x) x-0 x-1)))
      (send (cat (exp (gen) x) (mul (rec x) x-0 x-1))))
    ((send (exp (gen) x)))
    ((send (exp (gen) x-1))
      (recv
        (cat (exp (gen) x-0)
          (enc (enc (exp (gen) x-0) (exp (gen) x-1) (privk b-0))
            (exp (gen) (mul x-0 x-1)))))
      (send
        (enc (enc (exp (gen) x-1) (exp (gen) x-0) (privk b))
          (exp (gen) (mul x-0 x-1)))))
    ((recv (exp (gen) (mul x-0 x-1))) (send (exp (gen) (mul x-0 x-1))))
    ((recv (cat (gen) (mul x-0 x-1))) (send (cat (gen) (mul x-0 x-1)))))
  (label 55)
  (parent 38)
  (unrealized (1 0) (2 0) (5 0) (6 0))
  (comment "empty cohort"))

(defskeleton station-to-station
  (vars (a b b-0 name) (x x-0 x-1 expn))
  (defstrand init 3 (a a) (b b) (h (exp (gen) x-0)) (x x-1))
  (deflistener (exp (gen) (mul x-0 x-1)))
  (deflistener (cat (exp (gen) x) (mul (rec x) x-0 x-1)))
  (defstrand init 1 (x x))
  (defstrand init 3 (a b) (b b-0) (h (exp (gen) x-1)) (x x-0))
  (deflistener (exp (gen) (mul x-0 x-1)))
  (deflistener (cat (exp (gen) x-1) x-0))
  (precedes ((0 0) (2 0)) ((0 0) (6 0)) ((1 1) (0 1)) ((2 1) (1 0))
    ((3 0) (2 0)) ((4 0) (2 0)) ((4 0) (6 0)) ((4 2) (0 1))
    ((5 1) (4 1)) ((6 1) (5 0)))
  (non-orig (privk a) (privk b))
  (precur (6 0) (2 0))
  (uniq-gen x x-0 x-1)
  (operation nonce-test (displaced 7 0 init 1) (exp (gen) x-2) (6 0))
  (traces
    ((send (exp (gen) x-1))
      (recv
        (cat (exp (gen) x-0)
          (enc (enc (exp (gen) x-0) (exp (gen) x-1) (privk b))
            (exp (gen) (mul x-0 x-1)))))
      (send
        (enc (enc (exp (gen) x-1) (exp (gen) x-0) (privk a))
          (exp (gen) (mul x-0 x-1)))))
    ((recv (exp (gen) (mul x-0 x-1))) (send (exp (gen) (mul x-0 x-1))))
    ((recv (cat (exp (gen) x) (mul (rec x) x-0 x-1)))
      (send (cat (exp (gen) x) (mul (rec x) x-0 x-1))))
    ((send (exp (gen) x)))
    ((send (exp (gen) x-0))
      (recv
        (cat (exp (gen) x-1)
          (enc (enc (exp (gen) x-1) (exp (gen) x-0) (privk b-0))
            (exp (gen) (mul x-0 x-1)))))
      (send
        (enc (enc (exp (gen) x-0) (exp (gen) x-1) (privk b))
          (exp (gen) (mul x-0 x-1)))))
    ((recv (exp (gen) (mul x-0 x-1))) (send (exp (gen) (mul x-0 x-1))))
    ((recv (cat (exp (gen) x-1) x-0)) (send (cat (exp (gen) x-1) x-0))))
  (label 56)
  (parent 38)
  (unrealized (1 0) (2 0) (6 0))
  (comment "empty cohort"))

(defskeleton station-to-station
  (vars (a b b-0 name) (x x-0 x-1 expn))
  (defstrand init 3 (a a) (b b) (h (exp (gen) x-0)) (x x))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (exp (gen) x-1) (mul x x-0 (rec x-1))))
  (defstrand init 1 (x x-1))
  (defstrand init 3 (a b) (b b-0) (h (exp (gen) x)) (x x-0))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (exp (gen) x-1) (mul x x-0 (rec x-1))))
  (precedes ((0 0) (2 0)) ((0 0) (6 0)) ((1 1) (0 1)) ((2 1) (1 0))
    ((3 0) (2 0)) ((3 0) (6 0)) ((4 0) (2 0)) ((4 0) (6 0))
    ((4 2) (0 1)) ((5 1) (4 1)) ((6 1) (5 0)))
  (non-orig (privk a) (privk b))
  (precur (6 0) (2 0))
  (uniq-gen x x-0 x-1)
  (operation nonce-test (displaced 7 3 init 1) (exp (gen) x-2) (6 0))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) x-0)
          (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) x-0) (privk a))
          (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-1) (mul x x-0 (rec x-1))))
      (send (cat (exp (gen) x-1) (mul x x-0 (rec x-1)))))
    ((send (exp (gen) x-1)))
    ((send (exp (gen) x-0))
      (recv
        (cat (exp (gen) x)
          (enc (enc (exp (gen) x) (exp (gen) x-0) (privk b-0))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x-0) (exp (gen) x) (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-1) (mul x x-0 (rec x-1))))
      (send (cat (exp (gen) x-1) (mul x x-0 (rec x-1))))))
  (label 57)
  (parent 38)
  (unrealized (1 0) (2 0) (5 0) (6 0))
  (comment "empty cohort"))

(defskeleton station-to-station
  (vars (a b b-0 name) (x x-0 x-1 expn))
  (defstrand init 3 (a a) (b b) (h (exp (gen) x-1)) (x x-0))
  (deflistener (exp (gen) (mul x-0 x-1)))
  (deflistener (cat (exp (gen) x) (mul (rec x) x-0 x-1)))
  (defstrand init 1 (x x))
  (defstrand init 3 (a b) (b b-0) (h (exp (gen) x-0)) (x x-1))
  (deflistener (exp (gen) (mul x-0 x-1)))
  (deflistener (cat (exp (gen) x-1) x-0))
  (precedes ((0 0) (2 0)) ((0 0) (6 0)) ((1 1) (0 1)) ((2 1) (1 0))
    ((3 0) (2 0)) ((4 0) (2 0)) ((4 0) (6 0)) ((4 2) (0 1))
    ((5 1) (4 1)) ((6 1) (5 0)))
  (non-orig (privk a) (privk b))
  (precur (6 0) (2 0))
  (uniq-gen x x-0 x-1)
  (operation nonce-test (displaced 7 4 init 1) (exp (gen) x-2) (6 0))
  (traces
    ((send (exp (gen) x-0))
      (recv
        (cat (exp (gen) x-1)
          (enc (enc (exp (gen) x-1) (exp (gen) x-0) (privk b))
            (exp (gen) (mul x-0 x-1)))))
      (send
        (enc (enc (exp (gen) x-0) (exp (gen) x-1) (privk a))
          (exp (gen) (mul x-0 x-1)))))
    ((recv (exp (gen) (mul x-0 x-1))) (send (exp (gen) (mul x-0 x-1))))
    ((recv (cat (exp (gen) x) (mul (rec x) x-0 x-1)))
      (send (cat (exp (gen) x) (mul (rec x) x-0 x-1))))
    ((send (exp (gen) x)))
    ((send (exp (gen) x-1))
      (recv
        (cat (exp (gen) x-0)
          (enc (enc (exp (gen) x-0) (exp (gen) x-1) (privk b-0))
            (exp (gen) (mul x-0 x-1)))))
      (send
        (enc (enc (exp (gen) x-1) (exp (gen) x-0) (privk b))
          (exp (gen) (mul x-0 x-1)))))
    ((recv (exp (gen) (mul x-0 x-1))) (send (exp (gen) (mul x-0 x-1))))
    ((recv (cat (exp (gen) x-1) x-0)) (send (cat (exp (gen) x-1) x-0))))
  (label 58)
  (parent 38)
  (unrealized (1 0) (2 0) (6 0))
  (comment "empty cohort"))

(defskeleton station-to-station
  (vars (a b b-0 name) (x x-0 x-1 x-2 expn))
  (defstrand init 3 (a a) (b b) (h (exp (gen) x-1)) (x x-0))
  (deflistener (exp (gen) (mul x-0 x-1)))
  (deflistener (cat (exp (gen) x) (mul (rec x) x-0 x-1)))
  (defstrand init 1 (x x))
  (defstrand init 3 (a b) (b b-0) (h (exp (gen) x-0)) (x x-1))
  (deflistener (exp (gen) (mul x-0 x-1)))
  (deflistener (cat (exp (gen) x-2) (mul x-0 x-1 (rec x-2))))
  (defstrand init 1 (x x-2))
  (precedes ((0 0) (2 0)) ((0 0) (6 0)) ((1 1) (0 1)) ((2 1) (1 0))
    ((3 0) (2 0)) ((4 0) (2 0)) ((4 0) (6 0)) ((4 2) (0 1))
    ((5 1) (4 1)) ((6 1) (5 0)) ((7 0) (6 0)))
  (non-orig (privk a) (privk b))
  (precur (6 0) (2 0))
  (uniq-gen x x-0 x-1 x-2)
  (operation nonce-test (added-strand init 1) (exp (gen) x-2) (6 0))
  (traces
    ((send (exp (gen) x-0))
      (recv
        (cat (exp (gen) x-1)
          (enc (enc (exp (gen) x-1) (exp (gen) x-0) (privk b))
            (exp (gen) (mul x-0 x-1)))))
      (send
        (enc (enc (exp (gen) x-0) (exp (gen) x-1) (privk a))
          (exp (gen) (mul x-0 x-1)))))
    ((recv (exp (gen) (mul x-0 x-1))) (send (exp (gen) (mul x-0 x-1))))
    ((recv (cat (exp (gen) x) (mul (rec x) x-0 x-1)))
      (send (cat (exp (gen) x) (mul (rec x) x-0 x-1))))
    ((send (exp (gen) x)))
    ((send (exp (gen) x-1))
      (recv
        (cat (exp (gen) x-0)
          (enc (enc (exp (gen) x-0) (exp (gen) x-1) (privk b-0))
            (exp (gen) (mul x-0 x-1)))))
      (send
        (enc (enc (exp (gen) x-1) (exp (gen) x-0) (privk b))
          (exp (gen) (mul x-0 x-1)))))
    ((recv (exp (gen) (mul x-0 x-1))) (send (exp (gen) (mul x-0 x-1))))
    ((recv (cat (exp (gen) x-2) (mul x-0 x-1 (rec x-2))))
      (send (cat (exp (gen) x-2) (mul x-0 x-1 (rec x-2)))))
    ((send (exp (gen) x-2))))
  (label 59)
  (parent 38)
  (unrealized (1 0) (2 0) (5 0) (6 0))
  (comment "empty cohort"))

(defskeleton station-to-station
  (vars (a b b-0 b-1 name) (h base) (x x-0 x-1 y expn))
  (defstrand init 3 (a a) (b b) (h (exp (gen) x-1)) (x x-0))
  (deflistener (exp (gen) (mul x-0 x-1)))
  (deflistener (cat (exp (gen) x) (mul (rec x) x-0 x-1)))
  (defstrand init 1 (x x))
  (defstrand init 3 (a b) (b b-0) (h (exp (gen) x-0)) (x x-1))
  (deflistener (exp (gen) (mul x-0 x-1)))
  (deflistener (cat (exp (gen) y) (mul x-0 x-1 (rec y))))
  (defstrand resp 2 (b b-1) (h h) (y y))
  (precedes ((0 0) (2 0)) ((0 0) (6 0)) ((1 1) (0 1)) ((2 1) (1 0))
    ((3 0) (2 0)) ((4 0) (2 0)) ((4 0) (6 0)) ((4 2) (0 1))
    ((5 1) (4 1)) ((6 1) (5 0)) ((7 1) (6 0)))
  (absent (y h))
  (non-orig (privk a) (privk b))
  (precur (6 0) (2 0))
  (uniq-gen x x-0 x-1 y)
  (operation nonce-test (added-strand resp 2) (exp (gen) y) (6 0))
  (traces
    ((send (exp (gen) x-0))
      (recv
        (cat (exp (gen) x-1)
          (enc (enc (exp (gen) x-1) (exp (gen) x-0) (privk b))
            (exp (gen) (mul x-0 x-1)))))
      (send
        (enc (enc (exp (gen) x-0) (exp (gen) x-1) (privk a))
          (exp (gen) (mul x-0 x-1)))))
    ((recv (exp (gen) (mul x-0 x-1))) (send (exp (gen) (mul x-0 x-1))))
    ((recv (cat (exp (gen) x) (mul (rec x) x-0 x-1)))
      (send (cat (exp (gen) x) (mul (rec x) x-0 x-1))))
    ((send (exp (gen) x)))
    ((send (exp (gen) x-1))
      (recv
        (cat (exp (gen) x-0)
          (enc (enc (exp (gen) x-0) (exp (gen) x-1) (privk b-0))
            (exp (gen) (mul x-0 x-1)))))
      (send
        (enc (enc (exp (gen) x-1) (exp (gen) x-0) (privk b))
          (exp (gen) (mul x-0 x-1)))))
    ((recv (exp (gen) (mul x-0 x-1))) (send (exp (gen) (mul x-0 x-1))))
    ((recv (cat (exp (gen) y) (mul x-0 x-1 (rec y))))
      (send (cat (exp (gen) y) (mul x-0 x-1 (rec y)))))
    ((recv h)
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) h (privk b-1)) (exp h y))))))
  (label 60)
  (parent 38)
  (unrealized (1 0) (2 0) (5 0) (6 0))
  (comment "empty cohort"))

(defskeleton station-to-station
  (vars (a b b-0 b-1 name) (h base) (y x x-0 expn))
  (defstrand init 3 (a a) (b b) (h (exp (gen) x-0)) (x x))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (exp (gen) y) (mul (rec y) x x-0)))
  (defstrand resp 2 (b b-0) (h h) (y y))
  (defstrand init 3 (a b) (b b-1) (h (exp (gen) x)) (x x-0))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (gen) (mul x x-0)))
  (precedes ((0 0) (2 0)) ((0 0) (6 0)) ((1 1) (0 1)) ((2 1) (1 0))
    ((3 1) (2 0)) ((4 0) (2 0)) ((4 0) (6 0)) ((4 2) (0 1))
    ((5 1) (4 1)) ((6 1) (5 0)))
  (absent (y h))
  (non-orig (privk a) (privk b))
  (precur (6 0) (2 0))
  (uniq-gen y x x-0)
  (operation nonce-test (contracted (x-1 x) (x-2 x-0) (w (mul x x-0)))
    (gen) (6 0))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) x-0)
          (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) x-0) (privk a))
          (exp (gen) (mul x x-0)))))
    ((recv (exp (gen) (mul x x-0))) (send (exp (gen) (mul x x-0))))
    ((recv (cat (exp (gen) y) (mul (rec y) x x-0)))
      (send (cat (exp (gen) y) (mul (rec y) x x-0))))
    ((recv h)
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) h (privk b-0)) (exp h y)))))
    ((send (exp (gen) x-0))
      (recv
        (cat (exp (gen) x)
          (enc (enc (exp (gen) x) (exp (gen) x-0) (privk b-1))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
          (exp (gen) (mul x x-0)))))
    ((recv (exp (gen) (mul x x-0))) (send (exp (gen) (mul x x-0))))
    ((recv (cat (gen) (mul x x-0))) (send (cat (gen) (mul x x-0)))))
  (label 61)
  (parent 39)
  (unrealized (1 0) (2 0) (5 0) (6 0))
  (comment "empty cohort"))

(defskeleton station-to-station
  (vars (a b b-0 b-1 name) (h base) (y x x-0 expn))
  (defstrand init 3 (a a) (b b) (h (exp (gen) x)) (x x-0))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (exp (gen) y) (mul (rec y) x x-0)))
  (defstrand resp 2 (b b-0) (h h) (y y))
  (defstrand init 3 (a b) (b b-1) (h (exp (gen) x-0)) (x x))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (exp (gen) x-0) x))
  (precedes ((0 0) (2 0)) ((0 0) (6 0)) ((1 1) (0 1)) ((2 1) (1 0))
    ((3 1) (2 0)) ((4 0) (2 0)) ((4 0) (6 0)) ((4 2) (0 1))
    ((5 1) (4 1)) ((6 1) (5 0)))
  (absent (y h))
  (non-orig (privk a) (privk b))
  (precur (6 0) (2 0))
  (uniq-gen y x x-0)
  (operation nonce-test (displaced 7 0 init 1) (exp (gen) x-1) (6 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)))))
    ((recv (exp (gen) (mul x x-0))) (send (exp (gen) (mul x x-0))))
    ((recv (cat (exp (gen) y) (mul (rec y) x x-0)))
      (send (cat (exp (gen) y) (mul (rec y) x x-0))))
    ((recv h)
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) h (privk b-0)) (exp h y)))))
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) x-0)
          (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b-1))
            (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 62)
  (parent 39)
  (unrealized (1 0) (2 0) (6 0))
  (comment "empty cohort"))

(defskeleton station-to-station
  (vars (a b b-0 b-1 name) (h base) (y x x-0 expn))
  (defstrand init 3 (a a) (b b) (h (exp (gen) x-0)) (x x))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (exp (gen) y) (mul (rec y) x x-0)))
  (defstrand resp 2 (b b-0) (h h) (y y))
  (defstrand init 3 (a b) (b b-1) (h (exp (gen) x)) (x x-0))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (exp (gen) x-0) x))
  (precedes ((0 0) (2 0)) ((0 0) (6 0)) ((1 1) (0 1)) ((2 1) (1 0))
    ((3 1) (2 0)) ((4 0) (2 0)) ((4 0) (6 0)) ((4 2) (0 1))
    ((5 1) (4 1)) ((6 1) (5 0)))
  (absent (y h))
  (non-orig (privk a) (privk b))
  (precur (6 0) (2 0))
  (uniq-gen y x x-0)
  (operation nonce-test (displaced 7 4 init 1) (exp (gen) x-1) (6 0))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) x-0)
          (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) x-0) (privk a))
          (exp (gen) (mul x x-0)))))
    ((recv (exp (gen) (mul x x-0))) (send (exp (gen) (mul x x-0))))
    ((recv (cat (exp (gen) y) (mul (rec y) x x-0)))
      (send (cat (exp (gen) y) (mul (rec y) x x-0))))
    ((recv h)
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) h (privk b-0)) (exp h y)))))
    ((send (exp (gen) x-0))
      (recv
        (cat (exp (gen) x)
          (enc (enc (exp (gen) x) (exp (gen) x-0) (privk b-1))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x-0) (exp (gen) x) (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 63)
  (parent 39)
  (unrealized (1 0) (2 0) (6 0))
  (comment "empty cohort"))

(defskeleton station-to-station
  (vars (a b b-0 b-1 name) (h base) (y x x-0 x-1 expn))
  (defstrand init 3 (a a) (b b) (h (exp (gen) x-0)) (x x))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (exp (gen) y) (mul (rec y) x x-0)))
  (defstrand resp 2 (b b-0) (h h) (y y))
  (defstrand init 3 (a b) (b b-1) (h (exp (gen) x)) (x x-0))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (exp (gen) x-1) (mul x x-0 (rec x-1))))
  (defstrand init 1 (x x-1))
  (precedes ((0 0) (2 0)) ((0 0) (6 0)) ((1 1) (0 1)) ((2 1) (1 0))
    ((3 1) (2 0)) ((4 0) (2 0)) ((4 0) (6 0)) ((4 2) (0 1))
    ((5 1) (4 1)) ((6 1) (5 0)) ((7 0) (6 0)))
  (absent (y h))
  (non-orig (privk a) (privk b))
  (precur (6 0) (2 0))
  (uniq-gen y x x-0 x-1)
  (operation nonce-test (added-strand init 1) (exp (gen) x-1) (6 0))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) x-0)
          (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) x-0) (privk a))
          (exp (gen) (mul x x-0)))))
    ((recv (exp (gen) (mul x x-0))) (send (exp (gen) (mul x x-0))))
    ((recv (cat (exp (gen) y) (mul (rec y) x x-0)))
      (send (cat (exp (gen) y) (mul (rec y) x x-0))))
    ((recv h)
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) h (privk b-0)) (exp h y)))))
    ((send (exp (gen) x-0))
      (recv
        (cat (exp (gen) x)
          (enc (enc (exp (gen) x) (exp (gen) x-0) (privk b-1))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x-0) (exp (gen) x) (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-1) (mul x x-0 (rec x-1))))
      (send (cat (exp (gen) x-1) (mul x x-0 (rec x-1)))))
    ((send (exp (gen) x-1))))
  (label 64)
  (parent 39)
  (unrealized (1 0) (2 0) (5 0) (6 0))
  (comment "empty cohort"))

(defskeleton station-to-station
  (vars (a b b-0 b-1 name) (h base) (x x-0 y expn))
  (defstrand init 3 (a a) (b b) (h (exp (gen) x-0)) (x x))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (exp (gen) y) (mul x x-0 (rec y))))
  (defstrand resp 2 (b b-0) (h h) (y y))
  (defstrand init 3 (a b) (b b-1) (h (exp (gen) x)) (x x-0))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (exp (gen) y) (mul x x-0 (rec y))))
  (precedes ((0 0) (2 0)) ((0 0) (6 0)) ((1 1) (0 1)) ((2 1) (1 0))
    ((3 1) (2 0)) ((3 1) (6 0)) ((4 0) (2 0)) ((4 0) (6 0))
    ((4 2) (0 1)) ((5 1) (4 1)) ((6 1) (5 0)))
  (absent (y h))
  (non-orig (privk a) (privk b))
  (precur (6 0) (2 0))
  (uniq-gen x x-0 y)
  (operation nonce-test (displaced 7 3 resp 2) (exp (gen) y-0) (6 0))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) x-0)
          (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) x-0) (privk a))
          (exp (gen) (mul x x-0)))))
    ((recv (exp (gen) (mul x x-0))) (send (exp (gen) (mul x x-0))))
    ((recv (cat (exp (gen) y) (mul x x-0 (rec y))))
      (send (cat (exp (gen) y) (mul x x-0 (rec y)))))
    ((recv h)
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) h (privk b-0)) (exp h y)))))
    ((send (exp (gen) x-0))
      (recv
        (cat (exp (gen) x)
          (enc (enc (exp (gen) x) (exp (gen) x-0) (privk b-1))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x-0) (exp (gen) x) (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) y) (mul x x-0 (rec y))))
      (send (cat (exp (gen) y) (mul x x-0 (rec y))))))
  (label 65)
  (parent 39)
  (unrealized (1 0) (2 0) (5 0) (6 0))
  (comment "empty cohort"))

(defskeleton station-to-station
  (vars (a b b-0 b-1 b-2 name) (h h-0 base) (y x x-0 y-0 expn))
  (defstrand init 3 (a a) (b b) (h (exp (gen) x-0)) (x x))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (exp (gen) y) (mul (rec y) x x-0)))
  (defstrand resp 2 (b b-0) (h h) (y y))
  (defstrand init 3 (a b) (b b-1) (h (exp (gen) x)) (x x-0))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (exp (gen) y-0) (mul x x-0 (rec y-0))))
  (defstrand resp 2 (b b-2) (h h-0) (y y-0))
  (precedes ((0 0) (2 0)) ((0 0) (6 0)) ((1 1) (0 1)) ((2 1) (1 0))
    ((3 1) (2 0)) ((4 0) (2 0)) ((4 0) (6 0)) ((4 2) (0 1))
    ((5 1) (4 1)) ((6 1) (5 0)) ((7 1) (6 0)))
  (absent (y-0 h-0) (y h))
  (non-orig (privk a) (privk b))
  (precur (6 0) (2 0))
  (uniq-gen y x x-0 y-0)
  (operation nonce-test (added-strand resp 2) (exp (gen) y-0) (6 0))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) x-0)
          (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) x-0) (privk a))
          (exp (gen) (mul x x-0)))))
    ((recv (exp (gen) (mul x x-0))) (send (exp (gen) (mul x x-0))))
    ((recv (cat (exp (gen) y) (mul (rec y) x x-0)))
      (send (cat (exp (gen) y) (mul (rec y) x x-0))))
    ((recv h)
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) h (privk b-0)) (exp h y)))))
    ((send (exp (gen) x-0))
      (recv
        (cat (exp (gen) x)
          (enc (enc (exp (gen) x) (exp (gen) x-0) (privk b-1))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x-0) (exp (gen) x) (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) y-0) (mul x x-0 (rec y-0))))
      (send (cat (exp (gen) y-0) (mul x x-0 (rec y-0)))))
    ((recv h-0)
      (send
        (cat (exp (gen) y-0)
          (enc (enc (exp (gen) y-0) h-0 (privk b-2)) (exp h-0 y-0))))))
  (label 66)
  (parent 39)
  (unrealized (1 0) (2 0) (5 0) (6 0))
  (comment "empty cohort"))

(comment "Nothing left to do")

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

(defskeleton station-to-station
  (vars (a b name) (h base) (y expn))
  (defstrand resp 3 (a a) (b b) (h h) (y y))
  (absent (y h))
  (non-orig (privk a) (privk b))
  (uniq-gen y)
  (traces
    ((recv h)
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) h (privk b)) (exp h y))))
      (recv (enc (enc h (exp (gen) y) (privk a)) (exp h y)))))
  (label 67)
  (unrealized (0 2))
  (origs)
  (comment "2 in cohort - 2 not yet seen"))

(defskeleton station-to-station
  (vars (a b b-0 name) (y x expn))
  (defstrand resp 3 (a a) (b b) (h (exp (gen) x)) (y y))
  (defstrand init 3 (a a) (b b-0) (h (exp (gen) y)) (x x))
  (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 (added-strand init 3)
    (enc (enc (exp (gen) x) (exp (gen) y) (privk a))
      (exp (gen) (mul y x))) (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 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-0))
            (exp (gen) (mul y x)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) y) (privk a))
          (exp (gen) (mul y x))))))
  (label 68)
  (parent 67)
  (unrealized (1 1))
  (comment "2 in cohort - 2 not yet seen"))

(defskeleton station-to-station
  (vars (a b name) (h base) (y expn))
  (defstrand resp 3 (a a) (b b) (h h) (y y))
  (deflistener (exp h y))
  (precedes ((0 1) (1 0)) ((1 1) (0 2)))
  (absent (y h))
  (non-orig (privk a) (privk b))
  (uniq-gen y)
  (operation encryption-test (added-listener (exp h y))
    (enc (enc h (exp (gen) y) (privk a)) (exp h y)) (0 2))
  (traces
    ((recv h)
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) h (privk b)) (exp h y))))
      (recv (enc (enc h (exp (gen) y) (privk a)) (exp h y))))
    ((recv (exp h y)) (send (exp h y))))
  (label 69)
  (parent 67)
  (unrealized (0 2) (1 0))
  (comment "2 in cohort - 2 not yet seen"))

(defskeleton station-to-station
  (vars (a b name) (x y expn))
  (defstrand resp 3 (a a) (b b) (h (exp (gen) x)) (y y))
  (defstrand init 3 (a a) (b b) (h (exp (gen) y)) (x x))
  (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 (displaced 2 0 resp 2)
    (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))
            (exp (gen) (mul x y)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) y) (privk a))
          (exp (gen) (mul x y))))))
  (label 70)
  (parent 68)
  (unrealized)
  (shape)
  (maps ((0) ((a a) (b b) (y y) (h (exp (gen) x)))))
  (origs))

(defskeleton station-to-station
  (vars (a b b-0 name) (y x expn))
  (defstrand resp 3 (a a) (b b) (h (exp (gen) x)) (y y))
  (defstrand init 3 (a a) (b b-0) (h (exp (gen) y)) (x x))
  (deflistener (exp (gen) (mul y x)))
  (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 y x)
  (operation encryption-test (added-listener (exp (gen) (mul y x)))
    (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-0))
            (exp (gen) (mul y x)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) y) (privk a))
          (exp (gen) (mul y x)))))
    ((recv (exp (gen) (mul y x))) (send (exp (gen) (mul y x)))))
  (label 71)
  (parent 68)
  (unrealized (2 0))
  (comment "1 in cohort - 1 not yet seen"))

(defskeleton station-to-station
  (vars (a b name) (y expn))
  (defstrand resp 3 (a a) (b b) (h (gen)) (y y))
  (deflistener (exp (gen) y))
  (precedes ((0 1) (1 0)) ((1 1) (0 2)))
  (absent (y (gen)))
  (non-orig (privk a) (privk b))
  (uniq-gen y)
  (operation nonce-test (displaced 2 0 resp 2) (exp (gen) y-0) (1 0))
  (traces
    ((recv (gen))
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) (gen) (privk b)) (exp (gen) y))))
      (recv (enc (enc (gen) (exp (gen) y) (privk a)) (exp (gen) y))))
    ((recv (exp (gen) y)) (send (exp (gen) y))))
  (label 72)
  (parent 69)
  (unrealized (0 2))
  (comment "empty cohort"))

(defskeleton station-to-station
  (vars (a b name) (h base) (y expn) (w expr))
  (defstrand resp 3 (a a) (b b) (h h) (y y))
  (deflistener (exp h y))
  (deflistener (cat (exp h (mul y (rec w))) w))
  (precedes ((0 1) (2 0)) ((1 1) (0 2)) ((2 1) (1 0)))
  (absent (y h))
  (non-orig (privk a) (privk b))
  (uniq-gen y)
  (precur (2 0))
  (operation nonce-test (added-listener (cat (exp h (mul y (rec w))) w))
    (exp h y) (1 0))
  (traces
    ((recv h)
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) h (privk b)) (exp h y))))
      (recv (enc (enc h (exp (gen) y) (privk a)) (exp h y))))
    ((recv (exp h y)) (send (exp h y)))
    ((recv (cat (exp h (mul y (rec w))) w))
      (send (cat (exp h (mul y (rec w))) w))))
  (label 73)
  (parent 69)
  (unrealized (0 2) (2 0))
  (comment "4 in cohort - 4 not yet seen"))

(defskeleton station-to-station
  (vars (a b b-0 name) (y x expn) (w expr))
  (defstrand resp 3 (a a) (b b) (h (exp (gen) x)) (y y))
  (defstrand init 3 (a a) (b b-0) (h (exp (gen) y)) (x x))
  (deflistener (exp (gen) (mul y x)))
  (deflistener (cat (exp (gen) (mul y x (rec w))) w))
  (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 y x)
  (precur (3 0))
  (operation nonce-test
    (added-listener (cat (exp (gen) (mul y x (rec w))) w))
    (exp (gen) (mul y x)) (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 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-0))
            (exp (gen) (mul y x)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) y) (privk a))
          (exp (gen) (mul y x)))))
    ((recv (exp (gen) (mul y x))) (send (exp (gen) (mul y x))))
    ((recv (cat (exp (gen) (mul y x (rec w))) w))
      (send (cat (exp (gen) (mul y x (rec w))) w))))
  (label 74)
  (parent 71)
  (unrealized (3 0))
  (comment "5 in cohort - 5 not yet seen"))

(defskeleton station-to-station
  (vars (a b name) (w expr) (y expn))
  (defstrand resp 3 (a a) (b b) (h (exp (gen) w)) (y y))
  (deflistener (exp (gen) (mul w y)))
  (deflistener (cat (gen) (mul w y)))
  (precedes ((0 1) (2 0)) ((1 1) (0 2)) ((2 1) (1 0)))
  (absent (y (exp (gen) w)))
  (non-orig (privk a) (privk b))
  (uniq-gen y)
  (precur (2 0))
  (operation nonce-test
    (contracted (y-0 y) (h (exp (gen) w)) (w (mul w y))) (gen) (2 0))
  (traces
    ((recv (exp (gen) w))
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) (exp (gen) w) (privk b))
            (exp (gen) (mul w y)))))
      (recv
        (enc (enc (exp (gen) w) (exp (gen) y) (privk a))
          (exp (gen) (mul w y)))))
    ((recv (exp (gen) (mul w y))) (send (exp (gen) (mul w y))))
    ((recv (cat (gen) (mul w y))) (send (cat (gen) (mul w y)))))
  (label 75)
  (parent 73)
  (unrealized (0 2) (2 0))
  (comment "1 in cohort - 1 not yet seen"))

(defskeleton station-to-station
  (vars (a b name) (w expr) (x y expn))
  (defstrand resp 3 (a a) (b b) (h (exp (gen) (mul w x))) (y y))
  (deflistener (exp (gen) (mul w x y)))
  (deflistener (cat (exp (gen) x) (mul w y)))
  (defstrand init 1 (x x))
  (precedes ((0 1) (2 0)) ((1 1) (0 2)) ((2 1) (1 0)) ((3 0) (0 0)))
  (absent (y (exp (gen) (mul w x))))
  (non-orig (privk a) (privk b))
  (precur (2 0))
  (uniq-gen x y)
  (operation nonce-test (added-strand init 1) (exp (gen) x) (2 0))
  (traces
    ((recv (exp (gen) (mul w x)))
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) (exp (gen) (mul w x)) (privk b))
            (exp (gen) (mul w x y)))))
      (recv
        (enc (enc (exp (gen) (mul w x)) (exp (gen) y) (privk a))
          (exp (gen) (mul w x y)))))
    ((recv (exp (gen) (mul w x y))) (send (exp (gen) (mul w x y))))
    ((recv (cat (exp (gen) x) (mul w y)))
      (send (cat (exp (gen) x) (mul w y)))) ((send (exp (gen) x))))
  (label 76)
  (parent 73)
  (unrealized (0 2) (1 0) (2 0))
  (comment "1 in cohort - 1 not yet seen"))

(defskeleton station-to-station
  (vars (a b name) (w expr) (y expn))
  (defstrand resp 3 (a a) (b b) (h (exp (gen) w)) (y y))
  (deflistener (exp (gen) (mul w y)))
  (deflistener (cat (exp (gen) y) w))
  (precedes ((0 1) (2 0)) ((1 1) (0 2)) ((2 1) (1 0)))
  (absent (y (exp (gen) w)))
  (non-orig (privk a) (privk b))
  (precur (2 0))
  (uniq-gen y)
  (operation nonce-test (displaced 3 0 resp 2) (exp (gen) y-0) (2 0))
  (traces
    ((recv (exp (gen) w))
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) (exp (gen) w) (privk b))
            (exp (gen) (mul w y)))))
      (recv
        (enc (enc (exp (gen) w) (exp (gen) y) (privk a))
          (exp (gen) (mul w y)))))
    ((recv (exp (gen) (mul w y))) (send (exp (gen) (mul w y))))
    ((recv (cat (exp (gen) y) w)) (send (cat (exp (gen) y) w))))
  (label 77)
  (parent 73)
  (unrealized (0 2))
  (comment "1 in cohort - 1 not yet seen"))

(defskeleton station-to-station
  (vars (a b b-0 name) (h base) (w expr) (y y-0 expn))
  (defstrand resp 3 (a a) (b b) (h (exp (gen) (mul w y))) (y y-0))
  (deflistener (exp (gen) (mul w y y-0)))
  (deflistener (cat (exp (gen) y) (mul w y-0)))
  (defstrand resp 2 (b b-0) (h h) (y y))
  (precedes ((0 1) (2 0)) ((1 1) (0 2)) ((2 1) (1 0)) ((3 1) (0 0)))
  (absent (y h) (y-0 (exp (gen) (mul w y))))
  (non-orig (privk a) (privk b))
  (precur (2 0))
  (uniq-gen y y-0)
  (operation nonce-test (added-strand resp 2) (exp (gen) y) (2 0))
  (traces
    ((recv (exp (gen) (mul w y)))
      (send
        (cat (exp (gen) y-0)
          (enc (enc (exp (gen) y-0) (exp (gen) (mul w y)) (privk b))
            (exp (gen) (mul w y y-0)))))
      (recv
        (enc (enc (exp (gen) (mul w y)) (exp (gen) y-0) (privk a))
          (exp (gen) (mul w y y-0)))))
    ((recv (exp (gen) (mul w y y-0))) (send (exp (gen) (mul w y y-0))))
    ((recv (cat (exp (gen) y) (mul w y-0)))
      (send (cat (exp (gen) y) (mul w y-0))))
    ((recv h)
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) h (privk b-0)) (exp h y))))))
  (label 78)
  (parent 73)
  (unrealized (0 2) (1 0) (2 0))
  (comment "1 in cohort - 1 not yet seen"))

(defskeleton station-to-station
  (vars (a b b-0 name) (y x expn))
  (defstrand resp 3 (a a) (b b) (h (exp (gen) x)) (y y))
  (defstrand init 3 (a a) (b b-0) (h (exp (gen) y)) (x x))
  (deflistener (exp (gen) (mul y x)))
  (deflistener (cat (gen) (mul 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 y x)
  (precur (3 0))
  (operation nonce-test (contracted (y-0 y) (x-0 x) (w (mul y x))) (gen)
    (3 0))
  (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-0))
            (exp (gen) (mul y x)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) y) (privk a))
          (exp (gen) (mul y x)))))
    ((recv (exp (gen) (mul y x))) (send (exp (gen) (mul y x))))
    ((recv (cat (gen) (mul y x))) (send (cat (gen) (mul y x)))))
  (label 79)
  (parent 74)
  (unrealized (2 0) (3 0))
  (comment "empty cohort"))

(defskeleton station-to-station
  (vars (a b b-0 name) (y x expn))
  (defstrand resp 3 (a a) (b b) (h (exp (gen) x)) (y y))
  (defstrand init 3 (a a) (b b-0) (h (exp (gen) y)) (x x))
  (deflistener (exp (gen) (mul y x)))
  (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))
  (precur (3 0))
  (uniq-gen y x)
  (operation nonce-test (displaced 4 1 init 1) (exp (gen) x-0) (3 0))
  (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-0))
            (exp (gen) (mul y x)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) y) (privk a))
          (exp (gen) (mul y x)))))
    ((recv (exp (gen) (mul y x))) (send (exp (gen) (mul y x))))
    ((recv (cat (exp (gen) x) y)) (send (cat (exp (gen) x) y))))
  (label 80)
  (parent 74)
  (unrealized (3 0))
  (comment "empty cohort"))

(defskeleton station-to-station
  (vars (a b b-0 name) (y x x-0 expn))
  (defstrand resp 3 (a a) (b b) (h (exp (gen) x)) (y y))
  (defstrand init 3 (a a) (b b-0) (h (exp (gen) y)) (x x))
  (deflistener (exp (gen) (mul y x)))
  (deflistener (cat (exp (gen) x-0) (mul y x (rec x-0))))
  (defstrand init 1 (x x-0))
  (precedes ((0 1) (3 0)) ((1 0) (0 0)) ((1 2) (0 2)) ((2 1) (1 1))
    ((3 1) (2 0)) ((4 0) (3 0)))
  (absent (y (exp (gen) x)))
  (non-orig (privk a) (privk b))
  (precur (3 0))
  (uniq-gen y x x-0)
  (operation nonce-test (added-strand init 1) (exp (gen) x-0) (3 0))
  (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-0))
            (exp (gen) (mul y x)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) y) (privk a))
          (exp (gen) (mul y x)))))
    ((recv (exp (gen) (mul y x))) (send (exp (gen) (mul y x))))
    ((recv (cat (exp (gen) x-0) (mul y x (rec x-0))))
      (send (cat (exp (gen) x-0) (mul y x (rec x-0)))))
    ((send (exp (gen) x-0))))
  (label 81)
  (parent 74)
  (unrealized (2 0) (3 0))
  (comment "empty cohort"))

(defskeleton station-to-station
  (vars (a b b-0 name) (x y expn))
  (defstrand resp 3 (a a) (b b) (h (exp (gen) x)) (y y))
  (defstrand init 3 (a a) (b b-0) (h (exp (gen) y)) (x x))
  (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))
  (precur (3 0))
  (uniq-gen x y)
  (operation nonce-test (displaced 4 0 resp 2) (exp (gen) y-0) (3 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 82)
  (parent 74)
  (unrealized (3 0))
  (comment "empty cohort"))

(defskeleton station-to-station
  (vars (a b b-0 b-1 name) (h base) (y x y-0 expn))
  (defstrand resp 3 (a a) (b b) (h (exp (gen) x)) (y y))
  (defstrand init 3 (a a) (b b-0) (h (exp (gen) y)) (x x))
  (deflistener (exp (gen) (mul y x)))
  (deflistener (cat (exp (gen) y-0) (mul y x (rec y-0))))
  (defstrand resp 2 (b b-1) (h h) (y y-0))
  (precedes ((0 1) (3 0)) ((1 0) (0 0)) ((1 2) (0 2)) ((2 1) (1 1))
    ((3 1) (2 0)) ((4 1) (3 0)))
  (absent (y-0 h) (y (exp (gen) x)))
  (non-orig (privk a) (privk b))
  (precur (3 0))
  (uniq-gen y x y-0)
  (operation nonce-test (added-strand resp 2) (exp (gen) y-0) (3 0))
  (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-0))
            (exp (gen) (mul y x)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) y) (privk a))
          (exp (gen) (mul y x)))))
    ((recv (exp (gen) (mul y x))) (send (exp (gen) (mul y x))))
    ((recv (cat (exp (gen) y-0) (mul y x (rec y-0))))
      (send (cat (exp (gen) y-0) (mul y x (rec y-0)))))
    ((recv h)
      (send
        (cat (exp (gen) y-0)
          (enc (enc (exp (gen) y-0) h (privk b-1)) (exp h y-0))))))
  (label 83)
  (parent 74)
  (unrealized (2 0) (3 0))
  (comment "empty cohort"))

(defskeleton station-to-station
  (vars (a b name) (w expr) (y expn))
  (defstrand resp 3 (a a) (b b) (h (exp (gen) w)) (y y))
  (deflistener (exp (gen) (mul w y)))
  (deflistener (cat (gen) (mul w y)))
  (deflistener y)
  (precedes ((0 1) (3 0)) ((1 1) (0 2)) ((2 1) (1 0)) ((3 1) (2 0)))
  (absent (y (exp (gen) w)))
  (non-orig (privk a) (privk b))
  (uniq-gen y)
  (precur (2 0))
  (operation nonce-test (added-listener y) (mul w y) (2 0))
  (traces
    ((recv (exp (gen) w))
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) (exp (gen) w) (privk b))
            (exp (gen) (mul w y)))))
      (recv
        (enc (enc (exp (gen) w) (exp (gen) y) (privk a))
          (exp (gen) (mul w y)))))
    ((recv (exp (gen) (mul w y))) (send (exp (gen) (mul w y))))
    ((recv (cat (gen) (mul w y))) (send (cat (gen) (mul w y))))
    ((recv y) (send y)))
  (label 84)
  (parent 75)
  (unrealized (0 2) (3 0))
  (comment "empty cohort"))

(defskeleton station-to-station
  (vars (a b name) (w expr) (x y expn))
  (defstrand resp 3 (a a) (b b) (h (exp (gen) (mul w x))) (y y))
  (deflistener (exp (gen) (mul w x y)))
  (deflistener (cat (exp (gen) x) (mul w y)))
  (defstrand init 1 (x x))
  (deflistener y)
  (precedes ((0 1) (4 0)) ((1 1) (0 2)) ((2 1) (1 0)) ((3 0) (0 0))
    ((4 1) (2 0)))
  (absent (y (exp (gen) (mul w x))))
  (non-orig (privk a) (privk b))
  (precur (2 0))
  (uniq-gen x y)
  (operation nonce-test (added-listener y) (mul w y) (2 0))
  (traces
    ((recv (exp (gen) (mul w x)))
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) (exp (gen) (mul w x)) (privk b))
            (exp (gen) (mul w x y)))))
      (recv
        (enc (enc (exp (gen) (mul w x)) (exp (gen) y) (privk a))
          (exp (gen) (mul w x y)))))
    ((recv (exp (gen) (mul w x y))) (send (exp (gen) (mul w x y))))
    ((recv (cat (exp (gen) x) (mul w y)))
      (send (cat (exp (gen) x) (mul w y)))) ((send (exp (gen) x)))
    ((recv y) (send y)))
  (label 85)
  (parent 76)
  (unrealized (0 2) (4 0))
  (comment "empty cohort"))

(defskeleton station-to-station
  (vars (a b b-0 name) (y x expn))
  (defstrand resp 3 (a a) (b b) (h (exp (gen) x)) (y y))
  (deflistener (exp (gen) (mul y x)))
  (deflistener (cat (exp (gen) y) x))
  (defstrand init 3 (a a) (b b-0) (h (exp (gen) y)) (x x))
  (precedes ((0 1) (2 0)) ((0 1) (3 1)) ((1 1) (0 2)) ((2 1) (1 0))
    ((3 0) (0 0)) ((3 2) (0 2)))
  (absent (y (exp (gen) x)))
  (non-orig (privk a) (privk b))
  (precur (2 0))
  (uniq-gen y x)
  (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 y x)))))
      (recv
        (enc (enc (exp (gen) x) (exp (gen) y) (privk a))
          (exp (gen) (mul y x)))))
    ((recv (exp (gen) (mul y x))) (send (exp (gen) (mul y x))))
    ((recv (cat (exp (gen) y) x)) (send (cat (exp (gen) y) x)))
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) (exp (gen) x) (privk b-0))
            (exp (gen) (mul y x)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) y) (privk a))
          (exp (gen) (mul y x))))))
  (label 86)
  (parent 77)
  (unrealized (2 0) (3 1))
  (comment "2 in cohort - 2 not yet seen"))

(defskeleton station-to-station
  (vars (a b b-0 name) (h base) (w expr) (y y-0 expn))
  (defstrand resp 3 (a a) (b b) (h (exp (gen) (mul w y))) (y y-0))
  (deflistener (exp (gen) (mul w y y-0)))
  (deflistener (cat (exp (gen) y) (mul w y-0)))
  (defstrand resp 2 (b b-0) (h h) (y y))
  (deflistener y-0)
  (precedes ((0 1) (4 0)) ((1 1) (0 2)) ((2 1) (1 0)) ((3 1) (0 0))
    ((4 1) (2 0)))
  (absent (y h) (y-0 (exp (gen) (mul w y))))
  (non-orig (privk a) (privk b))
  (precur (2 0))
  (uniq-gen y y-0)
  (operation nonce-test (added-listener y-0) (mul w y-0) (2 0))
  (traces
    ((recv (exp (gen) (mul w y)))
      (send
        (cat (exp (gen) y-0)
          (enc (enc (exp (gen) y-0) (exp (gen) (mul w y)) (privk b))
            (exp (gen) (mul w y y-0)))))
      (recv
        (enc (enc (exp (gen) (mul w y)) (exp (gen) y-0) (privk a))
          (exp (gen) (mul w y y-0)))))
    ((recv (exp (gen) (mul w y y-0))) (send (exp (gen) (mul w y y-0))))
    ((recv (cat (exp (gen) y) (mul w y-0)))
      (send (cat (exp (gen) y) (mul w y-0))))
    ((recv h)
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) h (privk b-0)) (exp h y)))))
    ((recv y-0) (send y-0)))
  (label 87)
  (parent 78)
  (unrealized (0 2) (4 0))
  (comment "empty cohort"))

(defskeleton station-to-station
  (vars (a b name) (x y expn))
  (defstrand resp 3 (a a) (b b) (h (exp (gen) x)) (y y))
  (deflistener (exp (gen) (mul x y)))
  (deflistener (cat (exp (gen) y) x))
  (defstrand init 3 (a a) (b b) (h (exp (gen) y)) (x x))
  (precedes ((0 1) (2 0)) ((0 1) (3 1)) ((1 1) (0 2)) ((2 1) (1 0))
    ((3 0) (0 0)) ((3 2) (0 2)))
  (absent (y (exp (gen) x)))
  (non-orig (privk a) (privk b))
  (precur (2 0))
  (uniq-gen x y)
  (operation encryption-test (displaced 4 0 resp 2)
    (enc (enc (exp (gen) y) (exp (gen) x) (privk b-0))
      (exp (gen) (mul x y))) (3 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)))))
    ((recv (exp (gen) (mul x y))) (send (exp (gen) (mul x y))))
    ((recv (cat (exp (gen) y) x)) (send (cat (exp (gen) y) x)))
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) (exp (gen) x) (privk b))
            (exp (gen) (mul x y)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) y) (privk a))
          (exp (gen) (mul x y))))))
  (label 88)
  (parent 86)
  (unrealized (2 0))
  (comment "empty cohort"))

(defskeleton station-to-station
  (vars (a b b-0 name) (y x expn))
  (defstrand resp 3 (a a) (b b) (h (exp (gen) x)) (y y))
  (deflistener (exp (gen) (mul y x)))
  (deflistener (cat (exp (gen) y) x))
  (defstrand init 3 (a a) (b b-0) (h (exp (gen) y)) (x x))
  (deflistener (exp (gen) (mul y x)))
  (precedes ((0 1) (2 0)) ((0 1) (4 0)) ((1 1) (0 2)) ((2 1) (1 0))
    ((3 0) (0 0)) ((3 2) (0 2)) ((4 1) (3 1)))
  (absent (y (exp (gen) x)))
  (non-orig (privk a) (privk b))
  (precur (2 0))
  (uniq-gen y x)
  (operation encryption-test (added-listener (exp (gen) (mul y x)))
    (enc (enc (exp (gen) y) (exp (gen) x) (privk b-0))
      (exp (gen) (mul y x))) (3 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)))))
    ((recv (exp (gen) (mul y x))) (send (exp (gen) (mul y x))))
    ((recv (cat (exp (gen) y) x)) (send (cat (exp (gen) y) x)))
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) (exp (gen) x) (privk b-0))
            (exp (gen) (mul y x)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) y) (privk a))
          (exp (gen) (mul y x)))))
    ((recv (exp (gen) (mul y x))) (send (exp (gen) (mul y x)))))
  (label 89)
  (parent 86)
  (unrealized (2 0) (4 0))
  (comment "1 in cohort - 1 not yet seen"))

(defskeleton station-to-station
  (vars (a b b-0 name) (y x expn) (w expr))
  (defstrand resp 3 (a a) (b b) (h (exp (gen) x)) (y y))
  (deflistener (exp (gen) (mul y x)))
  (deflistener (cat (exp (gen) y) x))
  (defstrand init 3 (a a) (b b-0) (h (exp (gen) y)) (x x))
  (deflistener (exp (gen) (mul y x)))
  (deflistener (cat (exp (gen) (mul y x (rec w))) w))
  (precedes ((0 1) (2 0)) ((0 1) (5 0)) ((1 1) (0 2)) ((2 1) (1 0))
    ((3 0) (0 0)) ((3 2) (0 2)) ((4 1) (3 1)) ((5 1) (4 0)))
  (absent (y (exp (gen) x)))
  (non-orig (privk a) (privk b))
  (precur (5 0) (2 0))
  (uniq-gen y x)
  (operation nonce-test
    (added-listener (cat (exp (gen) (mul y x (rec w))) w))
    (exp (gen) (mul y x)) (4 0))
  (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)))))
    ((recv (exp (gen) (mul y x))) (send (exp (gen) (mul y x))))
    ((recv (cat (exp (gen) y) x)) (send (cat (exp (gen) y) x)))
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) (exp (gen) x) (privk b-0))
            (exp (gen) (mul y x)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) y) (privk a))
          (exp (gen) (mul y x)))))
    ((recv (exp (gen) (mul y x))) (send (exp (gen) (mul y x))))
    ((recv (cat (exp (gen) (mul y x (rec w))) w))
      (send (cat (exp (gen) (mul y x (rec w))) w))))
  (label 90)
  (parent 89)
  (unrealized (2 0) (5 0))
  (comment "5 in cohort - 5 not yet seen"))

(defskeleton station-to-station
  (vars (a b b-0 name) (y x expn))
  (defstrand resp 3 (a a) (b b) (h (exp (gen) x)) (y y))
  (deflistener (exp (gen) (mul y x)))
  (deflistener (cat (exp (gen) y) x))
  (defstrand init 3 (a a) (b b-0) (h (exp (gen) y)) (x x))
  (deflistener (exp (gen) (mul y x)))
  (deflistener (cat (gen) (mul y x)))
  (precedes ((0 1) (2 0)) ((0 1) (5 0)) ((1 1) (0 2)) ((2 1) (1 0))
    ((3 0) (0 0)) ((3 2) (0 2)) ((4 1) (3 1)) ((5 1) (4 0)))
  (absent (y (exp (gen) x)))
  (non-orig (privk a) (privk b))
  (precur (5 0) (2 0))
  (uniq-gen y x)
  (operation nonce-test (contracted (y-0 y) (x-0 x) (w (mul y x))) (gen)
    (5 0))
  (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)))))
    ((recv (exp (gen) (mul y x))) (send (exp (gen) (mul y x))))
    ((recv (cat (exp (gen) y) x)) (send (cat (exp (gen) y) x)))
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) (exp (gen) x) (privk b-0))
            (exp (gen) (mul y x)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) y) (privk a))
          (exp (gen) (mul y x)))))
    ((recv (exp (gen) (mul y x))) (send (exp (gen) (mul y x))))
    ((recv (cat (gen) (mul y x))) (send (cat (gen) (mul y x)))))
  (label 91)
  (parent 90)
  (unrealized (2 0) (4 0) (5 0))
  (comment "empty cohort"))

(defskeleton station-to-station
  (vars (a b b-0 name) (y x expn))
  (defstrand resp 3 (a a) (b b) (h (exp (gen) x)) (y y))
  (deflistener (exp (gen) (mul y x)))
  (deflistener (cat (exp (gen) y) x))
  (defstrand init 3 (a a) (b b-0) (h (exp (gen) y)) (x x))
  (deflistener (exp (gen) (mul y x)))
  (deflistener (cat (exp (gen) x) y))
  (precedes ((0 1) (2 0)) ((0 1) (5 0)) ((1 1) (0 2)) ((2 1) (1 0))
    ((3 0) (0 0)) ((3 2) (0 2)) ((4 1) (3 1)) ((5 1) (4 0)))
  (absent (y (exp (gen) x)))
  (non-orig (privk a) (privk b))
  (precur (5 0) (2 0))
  (uniq-gen y x)
  (operation nonce-test (displaced 6 3 init 1) (exp (gen) x-0) (5 0))
  (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)))))
    ((recv (exp (gen) (mul y x))) (send (exp (gen) (mul y x))))
    ((recv (cat (exp (gen) y) x)) (send (cat (exp (gen) y) x)))
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) (exp (gen) x) (privk b-0))
            (exp (gen) (mul y x)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) y) (privk a))
          (exp (gen) (mul y x)))))
    ((recv (exp (gen) (mul y x))) (send (exp (gen) (mul y x))))
    ((recv (cat (exp (gen) x) y)) (send (cat (exp (gen) x) y))))
  (label 92)
  (parent 90)
  (unrealized (2 0) (5 0))
  (comment "empty cohort"))

(defskeleton station-to-station
  (vars (a b b-0 name) (y x x-0 expn))
  (defstrand resp 3 (a a) (b b) (h (exp (gen) x)) (y y))
  (deflistener (exp (gen) (mul y x)))
  (deflistener (cat (exp (gen) y) x))
  (defstrand init 3 (a a) (b b-0) (h (exp (gen) y)) (x x))
  (deflistener (exp (gen) (mul y x)))
  (deflistener (cat (exp (gen) x-0) (mul y x (rec x-0))))
  (defstrand init 1 (x x-0))
  (precedes ((0 1) (2 0)) ((0 1) (5 0)) ((1 1) (0 2)) ((2 1) (1 0))
    ((3 0) (0 0)) ((3 2) (0 2)) ((4 1) (3 1)) ((5 1) (4 0))
    ((6 0) (5 0)))
  (absent (y (exp (gen) x)))
  (non-orig (privk a) (privk b))
  (precur (5 0) (2 0))
  (uniq-gen y x x-0)
  (operation nonce-test (added-strand init 1) (exp (gen) x-0) (5 0))
  (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)))))
    ((recv (exp (gen) (mul y x))) (send (exp (gen) (mul y x))))
    ((recv (cat (exp (gen) y) x)) (send (cat (exp (gen) y) x)))
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) (exp (gen) x) (privk b-0))
            (exp (gen) (mul y x)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) y) (privk a))
          (exp (gen) (mul y x)))))
    ((recv (exp (gen) (mul y x))) (send (exp (gen) (mul y x))))
    ((recv (cat (exp (gen) x-0) (mul y x (rec x-0))))
      (send (cat (exp (gen) x-0) (mul y x (rec x-0)))))
    ((send (exp (gen) x-0))))
  (label 93)
  (parent 90)
  (unrealized (2 0) (4 0) (5 0))
  (comment "empty cohort"))

(defskeleton station-to-station
  (vars (a b b-0 name) (x y expn))
  (defstrand resp 3 (a a) (b b) (h (exp (gen) x)) (y y))
  (deflistener (exp (gen) (mul x y)))
  (deflistener (cat (exp (gen) y) x))
  (defstrand init 3 (a a) (b b-0) (h (exp (gen) y)) (x x))
  (deflistener (exp (gen) (mul x y)))
  (deflistener (cat (exp (gen) y) x))
  (precedes ((0 1) (2 0)) ((0 1) (5 0)) ((1 1) (0 2)) ((2 1) (1 0))
    ((3 0) (0 0)) ((3 2) (0 2)) ((4 1) (3 1)) ((5 1) (4 0)))
  (absent (y (exp (gen) x)))
  (non-orig (privk a) (privk b))
  (precur (5 0) (2 0))
  (uniq-gen x y)
  (operation nonce-test (displaced 6 0 resp 2) (exp (gen) y-0) (5 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)))))
    ((recv (exp (gen) (mul x y))) (send (exp (gen) (mul x y))))
    ((recv (cat (exp (gen) y) x)) (send (cat (exp (gen) y) x)))
    ((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 94)
  (parent 90)
  (unrealized (2 0) (5 0))
  (comment "empty cohort"))

(defskeleton station-to-station
  (vars (a b b-0 b-1 name) (h base) (y x y-0 expn))
  (defstrand resp 3 (a a) (b b) (h (exp (gen) x)) (y y))
  (deflistener (exp (gen) (mul y x)))
  (deflistener (cat (exp (gen) y) x))
  (defstrand init 3 (a a) (b b-0) (h (exp (gen) y)) (x x))
  (deflistener (exp (gen) (mul y x)))
  (deflistener (cat (exp (gen) y-0) (mul y x (rec y-0))))
  (defstrand resp 2 (b b-1) (h h) (y y-0))
  (precedes ((0 1) (2 0)) ((0 1) (5 0)) ((1 1) (0 2)) ((2 1) (1 0))
    ((3 0) (0 0)) ((3 2) (0 2)) ((4 1) (3 1)) ((5 1) (4 0))
    ((6 1) (5 0)))
  (absent (y-0 h) (y (exp (gen) x)))
  (non-orig (privk a) (privk b))
  (precur (5 0) (2 0))
  (uniq-gen y x y-0)
  (operation nonce-test (added-strand resp 2) (exp (gen) y-0) (5 0))
  (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)))))
    ((recv (exp (gen) (mul y x))) (send (exp (gen) (mul y x))))
    ((recv (cat (exp (gen) y) x)) (send (cat (exp (gen) y) x)))
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) (exp (gen) x) (privk b-0))
            (exp (gen) (mul y x)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) y) (privk a))
          (exp (gen) (mul y x)))))
    ((recv (exp (gen) (mul y x))) (send (exp (gen) (mul y x))))
    ((recv (cat (exp (gen) y-0) (mul y x (rec y-0))))
      (send (cat (exp (gen) y-0) (mul y x (rec y-0)))))
    ((recv h)
      (send
        (cat (exp (gen) y-0)
          (enc (enc (exp (gen) y-0) h (privk b-1)) (exp h y-0))))))
  (label 95)
  (parent 90)
  (unrealized (2 0) (4 0) (5 0))
  (comment "empty cohort"))

(comment "Nothing left to do")

(defprotocol station-weak diffie-hellman
  (defrole weak-init
    (vars (x expn) (h base) (a b name))
    (trace (send (exp (gen) x))
      (recv (cat h (enc (enc h (exp (gen) x) (privk b)) (exp h x))))
      (send (enc (enc (exp (gen) x) h (privk a)) (exp h x)))))
  (defrole weak-resp
    (vars (y expn) (h base) (a b name))
    (trace (recv h)
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) h (privk b)) (exp h y))))
      (recv (enc (enc h (exp (gen) y) (privk a)) (exp h y))))
    (absent (y h))))

(defskeleton station-weak
  (vars (a b name) (h base) (x expn))
  (defstrand weak-init 3 (a a) (b b) (h h) (x x))
  (non-orig (privk a) (privk b))
  (uniq-gen x)
  (traces
    ((send (exp (gen) x))
      (recv (cat h (enc (enc h (exp (gen) x) (privk b)) (exp h x))))
      (send (enc (enc (exp (gen) x) h (privk a)) (exp h x)))))
  (label 96)
  (unrealized (0 1))
  (origs)
  (comment "3 in cohort - 3 not yet seen"))

(defskeleton station-weak
  (vars (a b b-0 name) (x x-0 expn))
  (defstrand weak-init 3 (a a) (b b) (h (exp (gen) x-0)) (x x))
  (defstrand weak-init 3 (a b) (b b-0) (h (exp (gen) x)) (x x-0))
  (precedes ((0 0) (1 1)) ((1 2) (0 1)))
  (non-orig (privk a) (privk b))
  (uniq-gen x)
  (operation encryption-test (added-strand weak-init 3)
    (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
      (exp (gen) (mul x x-0))) (0 1))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) x-0)
          (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) x-0) (privk a))
          (exp (gen) (mul x x-0)))))
    ((send (exp (gen) x-0))
      (recv
        (cat (exp (gen) x)
          (enc (enc (exp (gen) x) (exp (gen) x-0) (privk b-0))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
          (exp (gen) (mul x x-0))))))
  (label 97)
  (parent 96)
  (unrealized)
  (shape)
  (maps ((0) ((a a) (b b) (x x) (h (exp (gen) x-0)))))
  (origs))

(defskeleton station-weak
  (vars (a b name) (x y expn))
  (defstrand weak-init 3 (a a) (b b) (h (exp (gen) y)) (x x))
  (defstrand weak-resp 2 (b b) (h (exp (gen) x)) (y y))
  (precedes ((0 0) (1 0)) ((1 1) (0 1)))
  (absent (y (exp (gen) x)))
  (non-orig (privk a) (privk b))
  (uniq-gen x)
  (operation encryption-test (added-strand weak-resp 2)
    (enc (enc (exp (gen) y) (exp (gen) x) (privk b))
      (exp (gen) (mul x y))) (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 x y)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) y) (privk a))
          (exp (gen) (mul x y)))))
    ((recv (exp (gen) x))
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) (exp (gen) x) (privk b))
            (exp (gen) (mul x y)))))))
  (label 98)
  (parent 96)
  (unrealized)
  (shape)
  (maps ((0) ((a a) (b b) (x x) (h (exp (gen) y)))))
  (origs))

(defskeleton station-weak
  (vars (a b name) (h base) (x expn))
  (defstrand weak-init 3 (a a) (b b) (h h) (x x))
  (deflistener (exp h x))
  (precedes ((0 0) (1 0)) ((1 1) (0 1)))
  (non-orig (privk a) (privk b))
  (uniq-gen x)
  (operation encryption-test (added-listener (exp h x))
    (enc (enc h (exp (gen) x) (privk b)) (exp h x)) (0 1))
  (traces
    ((send (exp (gen) x))
      (recv (cat h (enc (enc h (exp (gen) x) (privk b)) (exp h x))))
      (send (enc (enc (exp (gen) x) h (privk a)) (exp h x))))
    ((recv (exp h x)) (send (exp h x))))
  (label 99)
  (parent 96)
  (unrealized (0 1) (1 0))
  (comment "5 in cohort - 5 not yet seen"))

(defskeleton station-weak
  (vars (a b name) (x expn))
  (defstrand weak-init 3 (a a) (b b) (h (exp (gen) (rec x))) (x x))
  (deflistener (gen))
  (precedes ((0 0) (1 0)) ((1 1) (0 1)))
  (non-orig (privk a) (privk b))
  (uniq-gen x)
  (operation nonce-test (contracted (h (exp (gen) (rec x)))) (gen)
    (1 0))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) (rec x))
          (enc (enc (exp (gen) (rec x)) (exp (gen) x) (privk b))
            (gen))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) (rec x)) (privk a)) (gen))))
    ((recv (gen)) (send (gen))))
  (label 100)
  (parent 99)
  (unrealized (0 1))
  (comment "empty cohort"))

(defskeleton station-weak
  (vars (a b name) (x expn))
  (defstrand weak-init 3 (a a) (b b) (h (gen)) (x x))
  (deflistener (exp (gen) x))
  (precedes ((0 0) (1 0)) ((1 1) (0 1)))
  (non-orig (privk a) (privk b))
  (uniq-gen x)
  (operation nonce-test (displaced 2 0 weak-init 1) (exp (gen) x-0)
    (1 0))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (gen)
          (enc (enc (gen) (exp (gen) x) (privk b)) (exp (gen) x))))
      (send (enc (enc (exp (gen) x) (gen) (privk a)) (exp (gen) x))))
    ((recv (exp (gen) x)) (send (exp (gen) x))))
  (label 101)
  (parent 99)
  (unrealized (0 1))
  (comment "empty cohort"))

(defskeleton station-weak
  (vars (a b name) (x x-0 expn))
  (defstrand weak-init 3 (a a) (b b) (h (exp (gen) (mul (rec x) x-0)))
    (x x))
  (deflistener (exp (gen) x-0))
  (defstrand weak-init 1 (x x-0))
  (precedes ((0 0) (1 0)) ((1 1) (0 1)) ((2 0) (1 0)))
  (non-orig (privk a) (privk b))
  (uniq-gen x)
  (operation nonce-test (added-strand weak-init 1) (exp (gen) x-0)
    (1 0))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) (mul (rec x) x-0))
          (enc
            (enc (exp (gen) (mul (rec x) x-0)) (exp (gen) x) (privk b))
            (exp (gen) x-0))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) (mul (rec x) x-0)) (privk a))
          (exp (gen) x-0))))
    ((recv (exp (gen) x-0)) (send (exp (gen) x-0)))
    ((send (exp (gen) x-0))))
  (label 102)
  (parent 99)
  (unrealized (0 1))
  (comment "empty cohort"))

(defskeleton station-weak
  (vars (a b b-0 name) (h base) (x y expn))
  (defstrand weak-init 3 (a a) (b b) (h (exp (gen) (mul (rec x) y)))
    (x x))
  (deflistener (exp (gen) y))
  (defstrand weak-resp 2 (b b-0) (h h) (y y))
  (precedes ((0 0) (1 0)) ((1 1) (0 1)) ((2 1) (1 0)))
  (absent (y h))
  (non-orig (privk a) (privk b))
  (uniq-gen x)
  (operation nonce-test (added-strand weak-resp 2) (exp (gen) y) (1 0))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) (mul (rec x) y))
          (enc (enc (exp (gen) (mul (rec x) y)) (exp (gen) x) (privk b))
            (exp (gen) y))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) (mul (rec x) y)) (privk a))
          (exp (gen) y)))) ((recv (exp (gen) y)) (send (exp (gen) y)))
    ((recv h)
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) h (privk b-0)) (exp h y))))))
  (label 103)
  (parent 99)
  (unrealized (0 1))
  (comment "empty cohort"))

(defskeleton station-weak
  (vars (a b name) (h base) (x expn) (w expr))
  (defstrand weak-init 3 (a a) (b b) (h h) (x x))
  (deflistener (exp h x))
  (deflistener (cat (exp h (mul x (rec w))) w))
  (precedes ((0 0) (2 0)) ((1 1) (0 1)) ((2 1) (1 0)))
  (non-orig (privk a) (privk b))
  (uniq-gen x)
  (precur (2 0))
  (operation nonce-test (added-listener (cat (exp h (mul x (rec w))) w))
    (exp h x) (1 0))
  (traces
    ((send (exp (gen) x))
      (recv (cat h (enc (enc h (exp (gen) x) (privk b)) (exp h x))))
      (send (enc (enc (exp (gen) x) h (privk a)) (exp h x))))
    ((recv (exp h x)) (send (exp h x)))
    ((recv (cat (exp h (mul x (rec w))) w))
      (send (cat (exp h (mul x (rec w))) w))))
  (label 104)
  (parent 99)
  (unrealized (0 1) (2 0))
  (comment "4 in cohort - 4 not yet seen"))

(defskeleton station-weak
  (vars (a b name) (x expn) (w expr))
  (defstrand weak-init 3 (a a) (b b) (h (exp (gen) (mul (rec x) w)))
    (x x))
  (deflistener (exp (gen) w))
  (deflistener (cat (gen) w))
  (precedes ((0 0) (2 0)) ((1 1) (0 1)) ((2 1) (1 0)))
  (non-orig (privk a) (privk b))
  (uniq-gen x)
  (precur (2 0))
  (operation nonce-test (contracted (h (exp (gen) (mul (rec x) w))))
    (gen) (2 0))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) (mul (rec x) w))
          (enc (enc (exp (gen) (mul (rec x) w)) (exp (gen) x) (privk b))
            (exp (gen) w))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) (mul (rec x) w)) (privk a))
          (exp (gen) w)))) ((recv (exp (gen) w)) (send (exp (gen) w)))
    ((recv (cat (gen) w)) (send (cat (gen) w))))
  (label 105)
  (parent 104)
  (unrealized (0 1))
  (comment "2 in cohort - 2 not yet seen"))

(defskeleton station-weak
  (vars (a b name) (w expr) (x expn))
  (defstrand weak-init 3 (a a) (b b) (h (exp (gen) w)) (x x))
  (deflistener (exp (gen) (mul w x)))
  (deflistener (cat (exp (gen) x) w))
  (precedes ((0 0) (2 0)) ((1 1) (0 1)) ((2 1) (1 0)))
  (non-orig (privk a) (privk b))
  (precur (2 0))
  (uniq-gen x)
  (operation nonce-test (displaced 3 0 weak-init 1) (exp (gen) x-0)
    (2 0))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) w)
          (enc (enc (exp (gen) w) (exp (gen) x) (privk b))
            (exp (gen) (mul w x)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) w) (privk a))
          (exp (gen) (mul w x)))))
    ((recv (exp (gen) (mul w x))) (send (exp (gen) (mul w x))))
    ((recv (cat (exp (gen) x) w)) (send (cat (exp (gen) x) w))))
  (label 106)
  (parent 104)
  (unrealized (0 1))
  (comment "2 in cohort - 2 not yet seen"))

(defskeleton station-weak
  (vars (a b name) (x expn) (w expr) (x-0 expn))
  (defstrand weak-init 3 (a a) (b b) (h (exp (gen) (mul (rec x) w x-0)))
    (x x))
  (deflistener (exp (gen) (mul w x-0)))
  (deflistener (cat (exp (gen) x-0) w))
  (defstrand weak-init 1 (x x-0))
  (precedes ((0 0) (2 0)) ((1 1) (0 1)) ((2 1) (1 0)) ((3 0) (2 0)))
  (non-orig (privk a) (privk b))
  (precur (2 0))
  (uniq-gen x)
  (operation nonce-test (added-strand weak-init 1) (exp (gen) x-0)
    (2 0))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) (mul (rec x) w x-0))
          (enc
            (enc (exp (gen) (mul (rec x) w x-0)) (exp (gen) x)
              (privk b)) (exp (gen) (mul w x-0)))))
      (send
        (enc
          (enc (exp (gen) x) (exp (gen) (mul (rec x) w x-0)) (privk a))
          (exp (gen) (mul w x-0)))))
    ((recv (exp (gen) (mul w x-0))) (send (exp (gen) (mul w x-0))))
    ((recv (cat (exp (gen) x-0) w)) (send (cat (exp (gen) x-0) w)))
    ((send (exp (gen) x-0))))
  (label 107)
  (parent 104)
  (unrealized (0 1))
  (comment "3 in cohort - 3 not yet seen"))

(defskeleton station-weak
  (vars (a b b-0 name) (h base) (x expn) (w expr) (y expn))
  (defstrand weak-init 3 (a a) (b b) (h (exp (gen) (mul (rec x) w y)))
    (x x))
  (deflistener (exp (gen) (mul w y)))
  (deflistener (cat (exp (gen) y) w))
  (defstrand weak-resp 2 (b b-0) (h h) (y y))
  (precedes ((0 0) (2 0)) ((1 1) (0 1)) ((2 1) (1 0)) ((3 1) (2 0)))
  (absent (y h))
  (non-orig (privk a) (privk b))
  (precur (2 0))
  (uniq-gen x)
  (operation nonce-test (added-strand weak-resp 2) (exp (gen) y) (2 0))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) (mul (rec x) w y))
          (enc
            (enc (exp (gen) (mul (rec x) w y)) (exp (gen) x) (privk b))
            (exp (gen) (mul w y)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) (mul (rec x) w y)) (privk a))
          (exp (gen) (mul w y)))))
    ((recv (exp (gen) (mul w y))) (send (exp (gen) (mul w y))))
    ((recv (cat (exp (gen) y) w)) (send (cat (exp (gen) y) w)))
    ((recv h)
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) h (privk b-0)) (exp h y))))))
  (label 108)
  (parent 104)
  (unrealized (0 1))
  (comment "3 in cohort - 3 not yet seen"))

(defskeleton station-weak
  (vars (a b b-0 name) (x x-0 expn))
  (defstrand weak-init 3 (a a) (b b) (h (exp (gen) x-0)) (x x))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (gen) (mul x x-0)))
  (defstrand weak-init 3 (a b) (b b-0) (h (exp (gen) x)) (x x-0))
  (precedes ((0 0) (2 0)) ((0 0) (3 1)) ((1 1) (0 1)) ((2 1) (1 0))
    ((3 2) (0 1)))
  (non-orig (privk a) (privk b))
  (precur (2 0))
  (uniq-gen x)
  (operation encryption-test (added-strand weak-init 3)
    (enc (exp (gen) x-0) (exp (gen) x) (privk b)) (0 1))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) x-0)
          (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) x-0) (privk a))
          (exp (gen) (mul x x-0)))))
    ((recv (exp (gen) (mul x x-0))) (send (exp (gen) (mul x x-0))))
    ((recv (cat (gen) (mul x x-0))) (send (cat (gen) (mul x x-0))))
    ((send (exp (gen) x-0))
      (recv
        (cat (exp (gen) x)
          (enc (enc (exp (gen) x) (exp (gen) x-0) (privk b-0))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
          (exp (gen) (mul x x-0))))))
  (label 109)
  (parent 105)
  (unrealized (2 0))
  (comment "1 in cohort - 1 not yet seen"))

(defskeleton station-weak
  (vars (a b name) (x y expn))
  (defstrand weak-init 3 (a a) (b b) (h (exp (gen) y)) (x x))
  (deflistener (exp (gen) (mul x y)))
  (deflistener (cat (gen) (mul x y)))
  (defstrand weak-resp 2 (b b) (h (exp (gen) x)) (y y))
  (precedes ((0 0) (2 0)) ((0 0) (3 0)) ((1 1) (0 1)) ((2 1) (1 0))
    ((3 1) (0 1)))
  (absent (y (exp (gen) x)))
  (non-orig (privk a) (privk b))
  (precur (2 0))
  (uniq-gen x)
  (operation encryption-test (added-strand weak-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 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 (gen) (mul x y))) (send (cat (gen) (mul x y))))
    ((recv (exp (gen) x))
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) (exp (gen) x) (privk b))
            (exp (gen) (mul x y)))))))
  (label 110)
  (parent 105)
  (unrealized (2 0))
  (comment "1 in cohort - 1 not yet seen"))

(defskeleton station-weak
  (vars (a b b-0 name) (x x-0 expn))
  (defstrand weak-init 3 (a a) (b b) (h (exp (gen) x-0)) (x x))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (exp (gen) x) x-0))
  (defstrand weak-init 3 (a b) (b b-0) (h (exp (gen) x)) (x x-0))
  (precedes ((0 0) (2 0)) ((0 0) (3 1)) ((1 1) (0 1)) ((2 1) (1 0))
    ((3 2) (0 1)))
  (non-orig (privk a) (privk b))
  (precur (2 0))
  (uniq-gen x)
  (operation encryption-test (added-strand weak-init 3)
    (enc (exp (gen) x-0) (exp (gen) x) (privk b)) (0 1))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) x-0)
          (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) x-0) (privk a))
          (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)))
    ((send (exp (gen) x-0))
      (recv
        (cat (exp (gen) x)
          (enc (enc (exp (gen) x) (exp (gen) x-0) (privk b-0))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
          (exp (gen) (mul x x-0))))))
  (label 111)
  (parent 106)
  (unrealized)
  (comment "1 in cohort - 1 not yet seen"))

(defskeleton station-weak
  (vars (a b name) (x y expn))
  (defstrand weak-init 3 (a a) (b b) (h (exp (gen) y)) (x x))
  (deflistener (exp (gen) (mul x y)))
  (deflistener (cat (exp (gen) x) y))
  (defstrand weak-resp 2 (b b) (h (exp (gen) x)) (y y))
  (precedes ((0 0) (2 0)) ((0 0) (3 0)) ((1 1) (0 1)) ((2 1) (1 0))
    ((3 1) (0 1)))
  (absent (y (exp (gen) x)))
  (non-orig (privk a) (privk b))
  (precur (2 0))
  (uniq-gen x)
  (operation encryption-test (added-strand weak-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 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)))
    ((recv (exp (gen) x))
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) (exp (gen) x) (privk b))
            (exp (gen) (mul x y)))))))
  (label 112)
  (parent 106)
  (unrealized)
  (comment "1 in cohort - 1 not yet seen"))

(defskeleton station-weak
  (vars (a b b-0 name) (x x-0 expn))
  (defstrand weak-init 3 (a a) (b b) (h (exp (gen) x-0)) (x x))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (exp (gen) x-0) x))
  (defstrand weak-init 3 (a b) (b b-0) (h (exp (gen) x)) (x x-0))
  (precedes ((0 0) (2 0)) ((0 0) (3 1)) ((1 1) (0 1)) ((2 1) (1 0))
    ((3 0) (2 0)) ((3 2) (0 1)))
  (non-orig (privk a) (privk b))
  (precur (2 0))
  (uniq-gen x)
  (operation encryption-test (displaced 3 4 weak-init 3)
    (enc (exp (gen) x-1) (exp (gen) x) (privk b)) (0 1))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) x-0)
          (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) x-0) (privk a))
          (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)))
    ((send (exp (gen) x-0))
      (recv
        (cat (exp (gen) x)
          (enc (enc (exp (gen) x) (exp (gen) x-0) (privk b-0))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
          (exp (gen) (mul x x-0))))))
  (label 113)
  (parent 107)
  (unrealized (2 0))
  (comment "empty cohort"))

(defskeleton station-weak
  (vars (a b b-0 name) (x x-0 x-1 expn))
  (defstrand weak-init 3 (a a) (b b) (h (exp (gen) x-1)) (x x))
  (deflistener (exp (gen) (mul x x-1)))
  (deflistener (cat (exp (gen) x-0) (mul x (rec x-0) x-1)))
  (defstrand weak-init 1 (x x-0))
  (defstrand weak-init 3 (a b) (b b-0) (h (exp (gen) x)) (x x-1))
  (precedes ((0 0) (2 0)) ((0 0) (4 1)) ((1 1) (0 1)) ((2 1) (1 0))
    ((3 0) (2 0)) ((4 2) (0 1)))
  (non-orig (privk a) (privk b))
  (precur (2 0))
  (uniq-gen x)
  (operation encryption-test (added-strand weak-init 3)
    (enc (exp (gen) x-1) (exp (gen) x) (privk b)) (0 1))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) x-1)
          (enc (enc (exp (gen) x-1) (exp (gen) x) (privk b))
            (exp (gen) (mul x x-1)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) x-1) (privk a))
          (exp (gen) (mul x x-1)))))
    ((recv (exp (gen) (mul x x-1))) (send (exp (gen) (mul x x-1))))
    ((recv (cat (exp (gen) x-0) (mul x (rec x-0) x-1)))
      (send (cat (exp (gen) x-0) (mul x (rec x-0) x-1))))
    ((send (exp (gen) x-0)))
    ((send (exp (gen) x-1))
      (recv
        (cat (exp (gen) x)
          (enc (enc (exp (gen) x) (exp (gen) x-1) (privk b-0))
            (exp (gen) (mul x x-1)))))
      (send
        (enc (enc (exp (gen) x-1) (exp (gen) x) (privk b))
          (exp (gen) (mul x x-1))))))
  (label 114)
  (parent 107)
  (unrealized (2 0))
  (comment "1 in cohort - 1 not yet seen"))

(defskeleton station-weak
  (vars (a b name) (x x-0 y expn))
  (defstrand weak-init 3 (a a) (b b) (h (exp (gen) y)) (x x))
  (deflistener (exp (gen) (mul x y)))
  (deflistener (cat (exp (gen) x-0) (mul x (rec x-0) y)))
  (defstrand weak-init 1 (x x-0))
  (defstrand weak-resp 2 (b b) (h (exp (gen) x)) (y y))
  (precedes ((0 0) (2 0)) ((0 0) (4 0)) ((1 1) (0 1)) ((2 1) (1 0))
    ((3 0) (2 0)) ((4 1) (0 1)))
  (absent (y (exp (gen) x)))
  (non-orig (privk a) (privk b))
  (precur (2 0))
  (uniq-gen x)
  (operation encryption-test (added-strand weak-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 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-0) (mul x (rec x-0) y)))
      (send (cat (exp (gen) x-0) (mul x (rec x-0) y))))
    ((send (exp (gen) x-0)))
    ((recv (exp (gen) x))
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) (exp (gen) x) (privk b))
            (exp (gen) (mul x y)))))))
  (label 115)
  (parent 107)
  (unrealized (2 0))
  (comment "1 in cohort - 1 not yet seen"))

(defskeleton station-weak
  (vars (a b b-0 b-1 name) (h base) (x y x-0 expn))
  (defstrand weak-init 3 (a a) (b b) (h (exp (gen) x-0)) (x x))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (exp (gen) y) (mul x (rec y) x-0)))
  (defstrand weak-resp 2 (b b-0) (h h) (y y))
  (defstrand weak-init 3 (a b) (b b-1) (h (exp (gen) x)) (x x-0))
  (precedes ((0 0) (2 0)) ((0 0) (4 1)) ((1 1) (0 1)) ((2 1) (1 0))
    ((3 1) (2 0)) ((4 2) (0 1)))
  (absent (y h))
  (non-orig (privk a) (privk b))
  (precur (2 0))
  (uniq-gen x)
  (operation encryption-test (added-strand weak-init 3)
    (enc (exp (gen) x-0) (exp (gen) x) (privk b)) (0 1))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) x-0)
          (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) x-0) (privk a))
          (exp (gen) (mul x x-0)))))
    ((recv (exp (gen) (mul x x-0))) (send (exp (gen) (mul x x-0))))
    ((recv (cat (exp (gen) y) (mul x (rec y) x-0)))
      (send (cat (exp (gen) y) (mul x (rec y) x-0))))
    ((recv h)
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) h (privk b-0)) (exp h y)))))
    ((send (exp (gen) x-0))
      (recv
        (cat (exp (gen) x)
          (enc (enc (exp (gen) x) (exp (gen) x-0) (privk b-1))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
          (exp (gen) (mul x x-0))))))
  (label 116)
  (parent 108)
  (unrealized (2 0))
  (comment "1 in cohort - 1 not yet seen"))

(defskeleton station-weak
  (vars (a b name) (x y expn))
  (defstrand weak-init 3 (a a) (b b) (h (exp (gen) y)) (x x))
  (deflistener (exp (gen) (mul x y)))
  (deflistener (cat (exp (gen) y) x))
  (defstrand weak-resp 2 (b b) (h (exp (gen) x)) (y y))
  (precedes ((0 0) (3 0)) ((1 1) (0 1)) ((2 1) (1 0)) ((3 1) (2 0)))
  (absent (y (exp (gen) x)))
  (non-orig (privk a) (privk b))
  (precur (2 0))
  (uniq-gen x)
  (operation encryption-test (displaced 4 3 weak-resp 2)
    (enc (exp (gen) y-0) (exp (gen) x) (privk b-0)) (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 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)))
    ((recv (exp (gen) x))
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) (exp (gen) x) (privk b))
            (exp (gen) (mul x y)))))))
  (label 117)
  (parent 108)
  (unrealized (2 0))
  (comment "empty cohort"))

(defskeleton station-weak
  (vars (a b b-0 name) (h base) (x y y-0 expn))
  (defstrand weak-init 3 (a a) (b b) (h (exp (gen) y-0)) (x x))
  (deflistener (exp (gen) (mul x y-0)))
  (deflistener (cat (exp (gen) y) (mul x (rec y) y-0)))
  (defstrand weak-resp 2 (b b-0) (h h) (y y))
  (defstrand weak-resp 2 (b b) (h (exp (gen) x)) (y y-0))
  (precedes ((0 0) (2 0)) ((0 0) (4 0)) ((1 1) (0 1)) ((2 1) (1 0))
    ((3 1) (2 0)) ((4 1) (0 1)))
  (absent (y-0 (exp (gen) x)) (y h))
  (non-orig (privk a) (privk b))
  (precur (2 0))
  (uniq-gen x)
  (operation encryption-test (added-strand weak-resp 2)
    (enc (exp (gen) y-0) (exp (gen) x) (privk b)) (0 1))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) y-0)
          (enc (enc (exp (gen) y-0) (exp (gen) x) (privk b))
            (exp (gen) (mul x y-0)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) y-0) (privk a))
          (exp (gen) (mul x y-0)))))
    ((recv (exp (gen) (mul x y-0))) (send (exp (gen) (mul x y-0))))
    ((recv (cat (exp (gen) y) (mul x (rec y) y-0)))
      (send (cat (exp (gen) y) (mul x (rec y) y-0))))
    ((recv h)
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) h (privk b-0)) (exp h y)))))
    ((recv (exp (gen) x))
      (send
        (cat (exp (gen) y-0)
          (enc (enc (exp (gen) y-0) (exp (gen) x) (privk b))
            (exp (gen) (mul x y-0)))))))
  (label 118)
  (parent 108)
  (unrealized (2 0))
  (comment "1 in cohort - 1 not yet seen"))

(defskeleton station-weak
  (vars (a b b-0 name) (x x-0 expn))
  (defstrand weak-init 3 (a a) (b b) (h (exp (gen) x-0)) (x x))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (gen) (mul x x-0)))
  (defstrand weak-init 3 (a b) (b b-0) (h (exp (gen) x)) (x x-0))
  (deflistener x)
  (precedes ((0 0) (3 1)) ((0 0) (4 0)) ((1 1) (0 1)) ((2 1) (1 0))
    ((3 2) (0 1)) ((4 1) (2 0)))
  (non-orig (privk a) (privk b))
  (precur (2 0))
  (uniq-gen x)
  (operation nonce-test (added-listener x) (mul x x-0) (2 0))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) x-0)
          (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) x-0) (privk a))
          (exp (gen) (mul x x-0)))))
    ((recv (exp (gen) (mul x x-0))) (send (exp (gen) (mul x x-0))))
    ((recv (cat (gen) (mul x x-0))) (send (cat (gen) (mul x x-0))))
    ((send (exp (gen) x-0))
      (recv
        (cat (exp (gen) x)
          (enc (enc (exp (gen) x) (exp (gen) x-0) (privk b-0))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
          (exp (gen) (mul x x-0))))) ((recv x) (send x)))
  (label 119)
  (parent 109)
  (unrealized (4 0))
  (comment "empty cohort"))

(defskeleton station-weak
  (vars (a b name) (x y expn))
  (defstrand weak-init 3 (a a) (b b) (h (exp (gen) y)) (x x))
  (deflistener (exp (gen) (mul x y)))
  (deflistener (cat (gen) (mul x y)))
  (defstrand weak-resp 2 (b b) (h (exp (gen) x)) (y y))
  (deflistener x)
  (precedes ((0 0) (3 0)) ((0 0) (4 0)) ((1 1) (0 1)) ((2 1) (1 0))
    ((3 1) (0 1)) ((4 1) (2 0)))
  (absent (y (exp (gen) x)))
  (non-orig (privk a) (privk b))
  (precur (2 0))
  (uniq-gen x)
  (operation nonce-test (added-listener x) (mul x y) (2 0))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) (exp (gen) x) (privk b))
            (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 (gen) (mul x y))) (send (cat (gen) (mul x y))))
    ((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 x) (send x)))
  (label 120)
  (parent 110)
  (unrealized (4 0))
  (comment "empty cohort"))

(defskeleton station-weak
  (vars (a b b-0 name) (x x-0 expn))
  (defstrand weak-init 3 (a a) (b b) (h (exp (gen) x-0)) (x x))
  (deflistener (cat (exp (gen) x) x-0))
  (defstrand weak-init 3 (a b) (b b-0) (h (exp (gen) x)) (x x-0))
  (precedes ((0 0) (1 0)) ((0 0) (2 1)) ((1 1) (0 1)) ((2 2) (0 1)))
  (non-orig (privk a) (privk b))
  (precur (1 0))
  (uniq-gen x)
  (operation generalization deleted (1 0))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) x-0)
          (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) x-0) (privk a))
          (exp (gen) (mul x x-0)))))
    ((recv (cat (exp (gen) x) x-0)) (send (cat (exp (gen) x) x-0)))
    ((send (exp (gen) x-0))
      (recv
        (cat (exp (gen) x)
          (enc (enc (exp (gen) x) (exp (gen) x-0) (privk b-0))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
          (exp (gen) (mul x x-0))))))
  (label 121)
  (parent 111)
  (seen 97)
  (unrealized)
  (comment "1 in cohort - 0 not yet seen"))

(defskeleton station-weak
  (vars (a b name) (x y expn))
  (defstrand weak-init 3 (a a) (b b) (h (exp (gen) y)) (x x))
  (deflistener (cat (exp (gen) x) y))
  (defstrand weak-resp 2 (b b) (h (exp (gen) x)) (y y))
  (precedes ((0 0) (1 0)) ((0 0) (2 0)) ((1 1) (0 1)) ((2 1) (0 1)))
  (absent (y (exp (gen) x)))
  (non-orig (privk a) (privk b))
  (precur (1 0))
  (uniq-gen x)
  (operation generalization deleted (1 0))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) (exp (gen) x) (privk b))
            (exp (gen) (mul x y)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) y) (privk a))
          (exp (gen) (mul x y)))))
    ((recv (cat (exp (gen) x) y)) (send (cat (exp (gen) x) y)))
    ((recv (exp (gen) x))
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) (exp (gen) x) (privk b))
            (exp (gen) (mul x y)))))))
  (label 122)
  (parent 112)
  (seen 98)
  (unrealized)
  (comment "1 in cohort - 0 not yet seen"))

(defskeleton station-weak
  (vars (a b b-0 name) (x x-0 x-1 expn))
  (defstrand weak-init 3 (a a) (b b) (h (exp (gen) x-1)) (x x))
  (deflistener (exp (gen) (mul x x-1)))
  (deflistener (cat (exp (gen) x-0) (mul x (rec x-0) x-1)))
  (defstrand weak-init 1 (x x-0))
  (defstrand weak-init 3 (a b) (b b-0) (h (exp (gen) x)) (x x-1))
  (deflistener x)
  (precedes ((0 0) (4 1)) ((0 0) (5 0)) ((1 1) (0 1)) ((2 1) (1 0))
    ((3 0) (2 0)) ((4 2) (0 1)) ((5 1) (2 0)))
  (non-orig (privk a) (privk b))
  (precur (2 0))
  (uniq-gen x)
  (operation nonce-test (added-listener x) (mul x (rec x-0) x-1) (2 0))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) x-1)
          (enc (enc (exp (gen) x-1) (exp (gen) x) (privk b))
            (exp (gen) (mul x x-1)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) x-1) (privk a))
          (exp (gen) (mul x x-1)))))
    ((recv (exp (gen) (mul x x-1))) (send (exp (gen) (mul x x-1))))
    ((recv (cat (exp (gen) x-0) (mul x (rec x-0) x-1)))
      (send (cat (exp (gen) x-0) (mul x (rec x-0) x-1))))
    ((send (exp (gen) x-0)))
    ((send (exp (gen) x-1))
      (recv
        (cat (exp (gen) x)
          (enc (enc (exp (gen) x) (exp (gen) x-1) (privk b-0))
            (exp (gen) (mul x x-1)))))
      (send
        (enc (enc (exp (gen) x-1) (exp (gen) x) (privk b))
          (exp (gen) (mul x x-1))))) ((recv x) (send x)))
  (label 123)
  (parent 114)
  (unrealized (5 0))
  (comment "empty cohort"))

(defskeleton station-weak
  (vars (a b name) (x x-0 y expn))
  (defstrand weak-init 3 (a a) (b b) (h (exp (gen) y)) (x x))
  (deflistener (exp (gen) (mul x y)))
  (deflistener (cat (exp (gen) x-0) (mul x (rec x-0) y)))
  (defstrand weak-init 1 (x x-0))
  (defstrand weak-resp 2 (b b) (h (exp (gen) x)) (y y))
  (deflistener x)
  (precedes ((0 0) (4 0)) ((0 0) (5 0)) ((1 1) (0 1)) ((2 1) (1 0))
    ((3 0) (2 0)) ((4 1) (0 1)) ((5 1) (2 0)))
  (absent (y (exp (gen) x)))
  (non-orig (privk a) (privk b))
  (precur (2 0))
  (uniq-gen x)
  (operation nonce-test (added-listener x) (mul x (rec x-0) y) (2 0))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) (exp (gen) x) (privk b))
            (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-0) (mul x (rec x-0) y)))
      (send (cat (exp (gen) x-0) (mul x (rec x-0) y))))
    ((send (exp (gen) x-0)))
    ((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 x) (send x)))
  (label 124)
  (parent 115)
  (unrealized (5 0))
  (comment "empty cohort"))

(defskeleton station-weak
  (vars (a b b-0 b-1 name) (h base) (x y x-0 expn))
  (defstrand weak-init 3 (a a) (b b) (h (exp (gen) x-0)) (x x))
  (deflistener (exp (gen) (mul x x-0)))
  (deflistener (cat (exp (gen) y) (mul x (rec y) x-0)))
  (defstrand weak-resp 2 (b b-0) (h h) (y y))
  (defstrand weak-init 3 (a b) (b b-1) (h (exp (gen) x)) (x x-0))
  (deflistener x)
  (precedes ((0 0) (4 1)) ((0 0) (5 0)) ((1 1) (0 1)) ((2 1) (1 0))
    ((3 1) (2 0)) ((4 2) (0 1)) ((5 1) (2 0)))
  (absent (y h))
  (non-orig (privk a) (privk b))
  (precur (2 0))
  (uniq-gen x)
  (operation nonce-test (added-listener x) (mul x (rec y) x-0) (2 0))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) x-0)
          (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) x-0) (privk a))
          (exp (gen) (mul x x-0)))))
    ((recv (exp (gen) (mul x x-0))) (send (exp (gen) (mul x x-0))))
    ((recv (cat (exp (gen) y) (mul x (rec y) x-0)))
      (send (cat (exp (gen) y) (mul x (rec y) x-0))))
    ((recv h)
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) h (privk b-0)) (exp h y)))))
    ((send (exp (gen) x-0))
      (recv
        (cat (exp (gen) x)
          (enc (enc (exp (gen) x) (exp (gen) x-0) (privk b-1))
            (exp (gen) (mul x x-0)))))
      (send
        (enc (enc (exp (gen) x-0) (exp (gen) x) (privk b))
          (exp (gen) (mul x x-0))))) ((recv x) (send x)))
  (label 125)
  (parent 116)
  (unrealized (5 0))
  (comment "empty cohort"))

(defskeleton station-weak
  (vars (a b b-0 name) (h base) (x y y-0 expn))
  (defstrand weak-init 3 (a a) (b b) (h (exp (gen) y-0)) (x x))
  (deflistener (exp (gen) (mul x y-0)))
  (deflistener (cat (exp (gen) y) (mul x (rec y) y-0)))
  (defstrand weak-resp 2 (b b-0) (h h) (y y))
  (defstrand weak-resp 2 (b b) (h (exp (gen) x)) (y y-0))
  (deflistener x)
  (precedes ((0 0) (4 0)) ((0 0) (5 0)) ((1 1) (0 1)) ((2 1) (1 0))
    ((3 1) (2 0)) ((4 1) (0 1)) ((5 1) (2 0)))
  (absent (y-0 (exp (gen) x)) (y h))
  (non-orig (privk a) (privk b))
  (precur (2 0))
  (uniq-gen x)
  (operation nonce-test (added-listener x) (mul x (rec y) y-0) (2 0))
  (traces
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) y-0)
          (enc (enc (exp (gen) y-0) (exp (gen) x) (privk b))
            (exp (gen) (mul x y-0)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) y-0) (privk a))
          (exp (gen) (mul x y-0)))))
    ((recv (exp (gen) (mul x y-0))) (send (exp (gen) (mul x y-0))))
    ((recv (cat (exp (gen) y) (mul x (rec y) y-0)))
      (send (cat (exp (gen) y) (mul x (rec y) y-0))))
    ((recv h)
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) h (privk b-0)) (exp h y)))))
    ((recv (exp (gen) x))
      (send
        (cat (exp (gen) y-0)
          (enc (enc (exp (gen) y-0) (exp (gen) x) (privk b))
            (exp (gen) (mul x y-0)))))) ((recv x) (send x)))
  (label 126)
  (parent 118)
  (unrealized (5 0))
  (comment "empty cohort"))

(comment "Nothing left to do")

(defprotocol station-weak diffie-hellman
  (defrole weak-init
    (vars (x expn) (h base) (a b name))
    (trace (send (exp (gen) x))
      (recv (cat h (enc (enc h (exp (gen) x) (privk b)) (exp h x))))
      (send (enc (enc (exp (gen) x) h (privk a)) (exp h x)))))
  (defrole weak-resp
    (vars (y expn) (h base) (a b name))
    (trace (recv h)
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) h (privk b)) (exp h y))))
      (recv (enc (enc h (exp (gen) y) (privk a)) (exp h y))))
    (absent (y h))))

(defskeleton station-weak
  (vars (a b name) (h base) (y expn))
  (defstrand weak-resp 3 (a a) (b b) (h h) (y y))
  (absent (y h))
  (non-orig (privk a) (privk b))
  (uniq-gen y)
  (traces
    ((recv h)
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) h (privk b)) (exp h y))))
      (recv (enc (enc h (exp (gen) y) (privk a)) (exp h y)))))
  (label 127)
  (unrealized (0 2))
  (origs)
  (comment "3 in cohort - 3 not yet seen"))

(defskeleton station-weak
  (vars (a b b-0 name) (y x expn))
  (defstrand weak-resp 3 (a a) (b b) (h (exp (gen) x)) (y y))
  (defstrand weak-init 3 (a a) (b b-0) (h (exp (gen) y)) (x x))
  (precedes ((0 1) (1 1)) ((1 2) (0 2)))
  (absent (y (exp (gen) x)))
  (non-orig (privk a) (privk b))
  (uniq-gen y)
  (operation encryption-test (added-strand weak-init 3)
    (enc (enc (exp (gen) x) (exp (gen) y) (privk a))
      (exp (gen) (mul y x))) (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 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-0))
            (exp (gen) (mul y x)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) y) (privk a))
          (exp (gen) (mul y x))))))
  (label 128)
  (parent 127)
  (unrealized)
  (shape)
  (maps ((0) ((a a) (b b) (y y) (h (exp (gen) x)))))
  (origs))

(defskeleton station-weak
  (vars (a b name) (y y-0 expn))
  (defstrand weak-resp 3 (a a) (b b) (h (exp (gen) y-0)) (y y))
  (defstrand weak-resp 2 (b a) (h (exp (gen) y)) (y y-0))
  (precedes ((0 1) (1 0)) ((1 1) (0 2)))
  (absent (y-0 (exp (gen) y)) (y (exp (gen) y-0)))
  (non-orig (privk a) (privk b))
  (uniq-gen y)
  (operation encryption-test (added-strand weak-resp 2)
    (enc (enc (exp (gen) y-0) (exp (gen) y) (privk a))
      (exp (gen) (mul y y-0))) (0 2))
  (traces
    ((recv (exp (gen) y-0))
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) (exp (gen) y-0) (privk b))
            (exp (gen) (mul y y-0)))))
      (recv
        (enc (enc (exp (gen) y-0) (exp (gen) y) (privk a))
          (exp (gen) (mul y y-0)))))
    ((recv (exp (gen) y))
      (send
        (cat (exp (gen) y-0)
          (enc (enc (exp (gen) y-0) (exp (gen) y) (privk a))
            (exp (gen) (mul y y-0)))))))
  (label 129)
  (parent 127)
  (unrealized)
  (shape)
  (maps ((0) ((a a) (b b) (y y) (h (exp (gen) y-0)))))
  (origs))

(defskeleton station-weak
  (vars (a b name) (h base) (y expn))
  (defstrand weak-resp 3 (a a) (b b) (h h) (y y))
  (deflistener (exp h y))
  (precedes ((0 1) (1 0)) ((1 1) (0 2)))
  (absent (y h))
  (non-orig (privk a) (privk b))
  (uniq-gen y)
  (operation encryption-test (added-listener (exp h y))
    (enc (enc h (exp (gen) y) (privk a)) (exp h y)) (0 2))
  (traces
    ((recv h)
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) h (privk b)) (exp h y))))
      (recv (enc (enc h (exp (gen) y) (privk a)) (exp h y))))
    ((recv (exp h y)) (send (exp h y))))
  (label 130)
  (parent 127)
  (unrealized (0 2) (1 0))
  (comment "2 in cohort - 2 not yet seen"))

(defskeleton station-weak
  (vars (a b name) (y expn))
  (defstrand weak-resp 3 (a a) (b b) (h (gen)) (y y))
  (deflistener (exp (gen) y))
  (precedes ((0 1) (1 0)) ((1 1) (0 2)))
  (absent (y (gen)))
  (non-orig (privk a) (privk b))
  (uniq-gen y)
  (operation nonce-test (displaced 2 0 weak-resp 2) (exp (gen) y-0)
    (1 0))
  (traces
    ((recv (gen))
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) (gen) (privk b)) (exp (gen) y))))
      (recv (enc (enc (gen) (exp (gen) y) (privk a)) (exp (gen) y))))
    ((recv (exp (gen) y)) (send (exp (gen) y))))
  (label 131)
  (parent 130)
  (unrealized (0 2))
  (comment "empty cohort"))

(defskeleton station-weak
  (vars (a b name) (h base) (y expn) (w expr))
  (defstrand weak-resp 3 (a a) (b b) (h h) (y y))
  (deflistener (exp h y))
  (deflistener (cat (exp h (mul y (rec w))) w))
  (precedes ((0 1) (2 0)) ((1 1) (0 2)) ((2 1) (1 0)))
  (absent (y h))
  (non-orig (privk a) (privk b))
  (uniq-gen y)
  (precur (2 0))
  (operation nonce-test (added-listener (cat (exp h (mul y (rec w))) w))
    (exp h y) (1 0))
  (traces
    ((recv h)
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) h (privk b)) (exp h y))))
      (recv (enc (enc h (exp (gen) y) (privk a)) (exp h y))))
    ((recv (exp h y)) (send (exp h y)))
    ((recv (cat (exp h (mul y (rec w))) w))
      (send (cat (exp h (mul y (rec w))) w))))
  (label 132)
  (parent 130)
  (unrealized (0 2) (2 0))
  (comment "4 in cohort - 4 not yet seen"))

(defskeleton station-weak
  (vars (a b name) (w expr) (y expn))
  (defstrand weak-resp 3 (a a) (b b) (h (exp (gen) w)) (y y))
  (deflistener (exp (gen) (mul w y)))
  (deflistener (cat (gen) (mul w y)))
  (precedes ((0 1) (2 0)) ((1 1) (0 2)) ((2 1) (1 0)))
  (absent (y (exp (gen) w)))
  (non-orig (privk a) (privk b))
  (uniq-gen y)
  (precur (2 0))
  (operation nonce-test
    (contracted (y-0 y) (h (exp (gen) w)) (w (mul w y))) (gen) (2 0))
  (traces
    ((recv (exp (gen) w))
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) (exp (gen) w) (privk b))
            (exp (gen) (mul w y)))))
      (recv
        (enc (enc (exp (gen) w) (exp (gen) y) (privk a))
          (exp (gen) (mul w y)))))
    ((recv (exp (gen) (mul w y))) (send (exp (gen) (mul w y))))
    ((recv (cat (gen) (mul w y))) (send (cat (gen) (mul w y)))))
  (label 133)
  (parent 132)
  (unrealized (0 2) (2 0))
  (comment "1 in cohort - 1 not yet seen"))

(defskeleton station-weak
  (vars (a b name) (w expr) (x y expn))
  (defstrand weak-resp 3 (a a) (b b) (h (exp (gen) (mul w x))) (y y))
  (deflistener (exp (gen) (mul w x y)))
  (deflistener (cat (exp (gen) x) (mul w y)))
  (defstrand weak-init 1 (x x))
  (precedes ((0 1) (2 0)) ((1 1) (0 2)) ((2 1) (1 0)) ((3 0) (2 0)))
  (absent (y (exp (gen) (mul w x))))
  (non-orig (privk a) (privk b))
  (precur (2 0))
  (uniq-gen y)
  (operation nonce-test (added-strand weak-init 1) (exp (gen) x) (2 0))
  (traces
    ((recv (exp (gen) (mul w x)))
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) (exp (gen) (mul w x)) (privk b))
            (exp (gen) (mul w x y)))))
      (recv
        (enc (enc (exp (gen) (mul w x)) (exp (gen) y) (privk a))
          (exp (gen) (mul w x y)))))
    ((recv (exp (gen) (mul w x y))) (send (exp (gen) (mul w x y))))
    ((recv (cat (exp (gen) x) (mul w y)))
      (send (cat (exp (gen) x) (mul w y)))) ((send (exp (gen) x))))
  (label 134)
  (parent 132)
  (unrealized (0 2) (2 0))
  (comment "1 in cohort - 1 not yet seen"))

(defskeleton station-weak
  (vars (a b name) (w expr) (y expn))
  (defstrand weak-resp 3 (a a) (b b) (h (exp (gen) w)) (y y))
  (deflistener (exp (gen) (mul w y)))
  (deflistener (cat (exp (gen) y) w))
  (precedes ((0 1) (2 0)) ((1 1) (0 2)) ((2 1) (1 0)))
  (absent (y (exp (gen) w)))
  (non-orig (privk a) (privk b))
  (precur (2 0))
  (uniq-gen y)
  (operation nonce-test (displaced 3 0 weak-resp 2) (exp (gen) y-0)
    (2 0))
  (traces
    ((recv (exp (gen) w))
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) (exp (gen) w) (privk b))
            (exp (gen) (mul w y)))))
      (recv
        (enc (enc (exp (gen) w) (exp (gen) y) (privk a))
          (exp (gen) (mul w y)))))
    ((recv (exp (gen) (mul w y))) (send (exp (gen) (mul w y))))
    ((recv (cat (exp (gen) y) w)) (send (cat (exp (gen) y) w))))
  (label 135)
  (parent 132)
  (unrealized (0 2))
  (comment "2 in cohort - 2 not yet seen"))

(defskeleton station-weak
  (vars (a b b-0 name) (h base) (w expr) (y y-0 expn))
  (defstrand weak-resp 3 (a a) (b b) (h (exp (gen) (mul w y))) (y y-0))
  (deflistener (exp (gen) (mul w y y-0)))
  (deflistener (cat (exp (gen) y) (mul w y-0)))
  (defstrand weak-resp 2 (b b-0) (h h) (y y))
  (precedes ((0 1) (2 0)) ((1 1) (0 2)) ((2 1) (1 0)) ((3 1) (2 0)))
  (absent (y h) (y-0 (exp (gen) (mul w y))))
  (non-orig (privk a) (privk b))
  (precur (2 0))
  (uniq-gen y-0)
  (operation nonce-test (added-strand weak-resp 2) (exp (gen) y) (2 0))
  (traces
    ((recv (exp (gen) (mul w y)))
      (send
        (cat (exp (gen) y-0)
          (enc (enc (exp (gen) y-0) (exp (gen) (mul w y)) (privk b))
            (exp (gen) (mul w y y-0)))))
      (recv
        (enc (enc (exp (gen) (mul w y)) (exp (gen) y-0) (privk a))
          (exp (gen) (mul w y y-0)))))
    ((recv (exp (gen) (mul w y y-0))) (send (exp (gen) (mul w y y-0))))
    ((recv (cat (exp (gen) y) (mul w y-0)))
      (send (cat (exp (gen) y) (mul w y-0))))
    ((recv h)
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) h (privk b-0)) (exp h y))))))
  (label 136)
  (parent 132)
  (unrealized (0 2) (2 0))
  (comment "1 in cohort - 1 not yet seen"))

(defskeleton station-weak
  (vars (a b name) (w expr) (y expn))
  (defstrand weak-resp 3 (a a) (b b) (h (exp (gen) w)) (y y))
  (deflistener (exp (gen) (mul w y)))
  (deflistener (cat (gen) (mul w y)))
  (deflistener y)
  (precedes ((0 1) (3 0)) ((1 1) (0 2)) ((2 1) (1 0)) ((3 1) (2 0)))
  (absent (y (exp (gen) w)))
  (non-orig (privk a) (privk b))
  (uniq-gen y)
  (precur (2 0))
  (operation nonce-test (added-listener y) (mul w y) (2 0))
  (traces
    ((recv (exp (gen) w))
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) (exp (gen) w) (privk b))
            (exp (gen) (mul w y)))))
      (recv
        (enc (enc (exp (gen) w) (exp (gen) y) (privk a))
          (exp (gen) (mul w y)))))
    ((recv (exp (gen) (mul w y))) (send (exp (gen) (mul w y))))
    ((recv (cat (gen) (mul w y))) (send (cat (gen) (mul w y))))
    ((recv y) (send y)))
  (label 137)
  (parent 133)
  (unrealized (0 2) (3 0))
  (comment "empty cohort"))

(defskeleton station-weak
  (vars (a b name) (w expr) (x y expn))
  (defstrand weak-resp 3 (a a) (b b) (h (exp (gen) (mul w x))) (y y))
  (deflistener (exp (gen) (mul w x y)))
  (deflistener (cat (exp (gen) x) (mul w y)))
  (defstrand weak-init 1 (x x))
  (deflistener y)
  (precedes ((0 1) (4 0)) ((1 1) (0 2)) ((2 1) (1 0)) ((3 0) (2 0))
    ((4 1) (2 0)))
  (absent (y (exp (gen) (mul w x))))
  (non-orig (privk a) (privk b))
  (precur (2 0))
  (uniq-gen y)
  (operation nonce-test (added-listener y) (mul w y) (2 0))
  (traces
    ((recv (exp (gen) (mul w x)))
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) (exp (gen) (mul w x)) (privk b))
            (exp (gen) (mul w x y)))))
      (recv
        (enc (enc (exp (gen) (mul w x)) (exp (gen) y) (privk a))
          (exp (gen) (mul w x y)))))
    ((recv (exp (gen) (mul w x y))) (send (exp (gen) (mul w x y))))
    ((recv (cat (exp (gen) x) (mul w y)))
      (send (cat (exp (gen) x) (mul w y)))) ((send (exp (gen) x)))
    ((recv y) (send y)))
  (label 138)
  (parent 134)
  (unrealized (0 2) (4 0))
  (comment "empty cohort"))

(defskeleton station-weak
  (vars (a b b-0 name) (y x expn))
  (defstrand weak-resp 3 (a a) (b b) (h (exp (gen) x)) (y y))
  (deflistener (exp (gen) (mul y x)))
  (deflistener (cat (exp (gen) y) x))
  (defstrand weak-init 3 (a a) (b b-0) (h (exp (gen) y)) (x x))
  (precedes ((0 1) (2 0)) ((0 1) (3 1)) ((1 1) (0 2)) ((2 1) (1 0))
    ((3 2) (0 2)))
  (absent (y (exp (gen) x)))
  (non-orig (privk a) (privk b))
  (precur (2 0))
  (uniq-gen y)
  (operation encryption-test (added-strand weak-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 y x)))))
      (recv
        (enc (enc (exp (gen) x) (exp (gen) y) (privk a))
          (exp (gen) (mul y x)))))
    ((recv (exp (gen) (mul y x))) (send (exp (gen) (mul y x))))
    ((recv (cat (exp (gen) y) x)) (send (cat (exp (gen) y) x)))
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) (exp (gen) x) (privk b-0))
            (exp (gen) (mul y x)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) y) (privk a))
          (exp (gen) (mul y x))))))
  (label 139)
  (parent 135)
  (unrealized)
  (comment "1 in cohort - 1 not yet seen"))

(defskeleton station-weak
  (vars (a b name) (y y-0 expn))
  (defstrand weak-resp 3 (a a) (b b) (h (exp (gen) y-0)) (y y))
  (deflistener (exp (gen) (mul y y-0)))
  (deflistener (cat (exp (gen) y) y-0))
  (defstrand weak-resp 2 (b a) (h (exp (gen) y)) (y y-0))
  (precedes ((0 1) (2 0)) ((0 1) (3 0)) ((1 1) (0 2)) ((2 1) (1 0))
    ((3 1) (0 2)))
  (absent (y-0 (exp (gen) y)) (y (exp (gen) y-0)))
  (non-orig (privk a) (privk b))
  (precur (2 0))
  (uniq-gen y)
  (operation encryption-test (added-strand weak-resp 2)
    (enc (exp (gen) y-0) (exp (gen) y) (privk a)) (0 2))
  (traces
    ((recv (exp (gen) y-0))
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) (exp (gen) y-0) (privk b))
            (exp (gen) (mul y y-0)))))
      (recv
        (enc (enc (exp (gen) y-0) (exp (gen) y) (privk a))
          (exp (gen) (mul y y-0)))))
    ((recv (exp (gen) (mul y y-0))) (send (exp (gen) (mul y y-0))))
    ((recv (cat (exp (gen) y) y-0)) (send (cat (exp (gen) y) y-0)))
    ((recv (exp (gen) y))
      (send
        (cat (exp (gen) y-0)
          (enc (enc (exp (gen) y-0) (exp (gen) y) (privk a))
            (exp (gen) (mul y y-0)))))))
  (label 140)
  (parent 135)
  (unrealized)
  (comment "1 in cohort - 1 not yet seen"))

(defskeleton station-weak
  (vars (a b b-0 name) (h base) (w expr) (y y-0 expn))
  (defstrand weak-resp 3 (a a) (b b) (h (exp (gen) (mul w y))) (y y-0))
  (deflistener (exp (gen) (mul w y y-0)))
  (deflistener (cat (exp (gen) y) (mul w y-0)))
  (defstrand weak-resp 2 (b b-0) (h h) (y y))
  (deflistener y-0)
  (precedes ((0 1) (4 0)) ((1 1) (0 2)) ((2 1) (1 0)) ((3 1) (2 0))
    ((4 1) (2 0)))
  (absent (y h) (y-0 (exp (gen) (mul w y))))
  (non-orig (privk a) (privk b))
  (precur (2 0))
  (uniq-gen y-0)
  (operation nonce-test (added-listener y-0) (mul w y-0) (2 0))
  (traces
    ((recv (exp (gen) (mul w y)))
      (send
        (cat (exp (gen) y-0)
          (enc (enc (exp (gen) y-0) (exp (gen) (mul w y)) (privk b))
            (exp (gen) (mul w y y-0)))))
      (recv
        (enc (enc (exp (gen) (mul w y)) (exp (gen) y-0) (privk a))
          (exp (gen) (mul w y y-0)))))
    ((recv (exp (gen) (mul w y y-0))) (send (exp (gen) (mul w y y-0))))
    ((recv (cat (exp (gen) y) (mul w y-0)))
      (send (cat (exp (gen) y) (mul w y-0))))
    ((recv h)
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) h (privk b-0)) (exp h y)))))
    ((recv y-0) (send y-0)))
  (label 141)
  (parent 136)
  (unrealized (0 2) (4 0))
  (comment "empty cohort"))

(defskeleton station-weak
  (vars (a b b-0 name) (y x expn))
  (defstrand weak-resp 3 (a a) (b b) (h (exp (gen) x)) (y y))
  (deflistener (cat (exp (gen) y) x))
  (defstrand weak-init 3 (a a) (b b-0) (h (exp (gen) y)) (x x))
  (precedes ((0 1) (1 0)) ((0 1) (2 1)) ((1 1) (0 2)) ((2 2) (0 2)))
  (absent (y (exp (gen) x)))
  (non-orig (privk a) (privk b))
  (precur (1 0))
  (uniq-gen y)
  (operation generalization deleted (1 0))
  (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)))))
    ((recv (cat (exp (gen) y) x)) (send (cat (exp (gen) y) x)))
    ((send (exp (gen) x))
      (recv
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) (exp (gen) x) (privk b-0))
            (exp (gen) (mul y x)))))
      (send
        (enc (enc (exp (gen) x) (exp (gen) y) (privk a))
          (exp (gen) (mul y x))))))
  (label 142)
  (parent 139)
  (seen 128)
  (unrealized)
  (comment "1 in cohort - 0 not yet seen"))

(defskeleton station-weak
  (vars (a b name) (y y-0 expn))
  (defstrand weak-resp 3 (a a) (b b) (h (exp (gen) y-0)) (y y))
  (deflistener (cat (exp (gen) y) y-0))
  (defstrand weak-resp 2 (b a) (h (exp (gen) y)) (y y-0))
  (precedes ((0 1) (1 0)) ((0 1) (2 0)) ((1 1) (0 2)) ((2 1) (0 2)))
  (absent (y-0 (exp (gen) y)) (y (exp (gen) y-0)))
  (non-orig (privk a) (privk b))
  (precur (1 0))
  (uniq-gen y)
  (operation generalization deleted (1 0))
  (traces
    ((recv (exp (gen) y-0))
      (send
        (cat (exp (gen) y)
          (enc (enc (exp (gen) y) (exp (gen) y-0) (privk b))
            (exp (gen) (mul y y-0)))))
      (recv
        (enc (enc (exp (gen) y-0) (exp (gen) y) (privk a))
          (exp (gen) (mul y y-0)))))
    ((recv (cat (exp (gen) y) y-0)) (send (cat (exp (gen) y) y-0)))
    ((recv (exp (gen) y))
      (send
        (cat (exp (gen) y-0)
          (enc (enc (exp (gen) y-0) (exp (gen) y) (privk a))
            (exp (gen) (mul y y-0)))))))
  (label 143)
  (parent 140)
  (seen 129)
  (unrealized)
  (comment "1 in cohort - 0 not yet seen"))

(comment "Nothing left to do")