; @xtcfilename "./TRS_Standard/Hydras/hydra_touzet.xml"
(format TRS)
(fun o 1)
(fun a 1)
(fun l 1)
(fun H 2)
(fun |0| 0)
(fun c1 2)
(fun c2 3)
(rule (o x) (a (l x)))
(rule (a (l x)) (l (a (a x))))
(rule (l (o x)) (o (l x)))
(rule (a x) x)
(rule (H |0| x) (o x))
(rule (a (H (H |0| y) z)) (c1 y z))
(rule (a (H (H (H |0| x) y) z)) (c2 x y z))
(rule (c2 x y z) (o (H y z)))
(rule (a (c1 x y)) (c1 x (H x y)))
(rule (a (c2 x y z)) (c2 x (H x y) z))
(rule (c1 y z) (o z))