; @origtpdbfilename ./TRS/secret06/aprove/divExp.trs
; @xtcfilename "./TRS_Standard/Secret_06_TRS/divExp.xml"
(format TRS)
(fun minus 2)
(fun |0| 0)
(fun s 1)
(fun div 2)
(fun f 3)
(rule (minus x x) |0|)
(rule (minus (s x) (s y)) (minus x y))
(rule (minus |0| x) |0|)
(rule (minus x |0|) x)
(rule (div (s x) (s y)) (s (div (minus x y) (s y))))
(rule (div |0| (s y)) |0|)
(rule (f x |0| b) x)
(rule (f x (s y) b) (div (f x (minus (s y) (s |0|)) b) b))