; @origtpdbfilename ./TRS/AProVE/rta3.trs
; @xtcfilename "./TRS_Standard/AProVE_04/rta3.xml"
(format TRS)
(fun ack 2)
(fun |0| 0)
(fun s 1)
(fun f 2)
(rule (ack |0| y) (s y))
(rule (ack (s x) |0|) (ack x (s |0|)))
(rule (ack (s x) (s y)) (ack x (ack (s x) y)))
(rule (f (s x) y) (f x (s x)))
(rule (f x (s y)) (f y x))
(rule (f x y) (ack x y))
(rule (ack (s x) y) (f x x))