; @origtpdbfilename ./TRS/TRCSR/Ex15_Luc98_FR.trs
; @xtcfilename "./TRS_Standard/Transformed_CSR_04/Ex15_Luc98_FR.xml"
(format TRS)
(fun and 2)
(fun true 0)
(fun activate 1)
(fun false 0)
(fun if 3)
(fun add 2)
(fun |0| 0)
(fun s 1)
(fun n__add 2)
(fun first 2)
(fun nil 0)
(fun cons 2)
(fun n__first 2)
(fun from 1)
(fun n__from 1)
(fun n__s 1)
(rule (and true X) (activate X))
(rule (and false Y) false)
(rule (if true X Y) (activate X))
(rule (if false X Y) (activate Y))
(rule (add |0| X) (activate X))
(rule (add (s X) Y) (s (n__add (activate X) (activate Y))))
(rule (first |0| X) nil)
(rule (first (s X) (cons Y Z)) (cons (activate Y) (n__first (activate X) (activate Z))))
(rule (from X) (cons (activate X) (n__from (n__s (activate X)))))
(rule (add X1 X2) (n__add X1 X2))
(rule (first X1 X2) (n__first X1 X2))
(rule (from X) (n__from X))
(rule (s X) (n__s X))
(rule (activate (n__add X1 X2)) (add (activate X1) X2))
(rule (activate (n__first X1 X2)) (first (activate X1) (activate X2)))
(rule (activate (n__from X)) (from X))
(rule (activate (n__s X)) (s X))
(rule (activate X) X)