; @origtpdbfilename ./TRS/Beerendonk/16.trs
; @xtcfilename "./TRS_Standard/Beerendonk_07/16.xml"
(format TRS)
(fun cond1 4)
(fun true 0)
(fun cond2 4)
(fun gr 2)
(fun |0| 0)
(fun add 2)
(fun p 1)
(fun false 0)
(fun cond3 4)
(fun s 1)
(rule (cond1 true x y z) (cond2 (gr x |0|) x y z))
(rule (cond2 true x y z) (cond1 (gr (add x y) z) (p x) y z))
(rule (cond2 false x y z) (cond3 (gr y |0|) x y z))
(rule (cond3 true x y z) (cond1 (gr (add x y) z) x (p y) z))
(rule (cond3 false x y z) (cond1 (gr (add x y) z) x y z))
(rule (gr |0| x) false)
(rule (gr (s x) |0|) true)
(rule (gr (s x) (s y)) (gr x y))
(rule (add |0| x) x)
(rule (add (s x) y) (s (add x y)))
(rule (p |0|) |0|)
(rule (p (s x)) x)