; @origtpdbfilename TRS//AProVE_10/halfdouble.trs
; @xtcfilename "./TRS_Standard/AProVE_10/halfdouble.xml"
(format TRS)
(fun f 2)
(fun tt 0)
(fun eq 2)
(fun half 1)
(fun double 1)
(fun s 1)
(fun |0| 0)
(rule (f tt x) (f (eq x (half (double x))) (s x)))
(rule (eq (s x) (s y)) (eq x y))
(rule (eq |0| |0|) tt)
(rule (double (s x)) (s (s (double x))))
(rule (double |0|) |0|)
(rule (half (s (s x))) (s (half x)))
(rule (half |0|) |0|)