; @origtpdbfilename ./TRS/TRCSR/Ex2_Luc03b_Z.trs
; @xtcfilename "./TRS_Standard/Transformed_CSR_04/Ex2_Luc03b_Z.xml"
(format TRS)
(fun fst 2)
(fun |0| 0)
(fun nil 0)
(fun s 1)
(fun cons 2)
(fun n__fst 2)
(fun activate 1)
(fun from 1)
(fun n__from 1)
(fun add 2)
(fun n__add 2)
(fun len 1)
(fun n__len 1)
(rule (fst |0| Z) nil)
(rule (fst (s X) (cons Y Z)) (cons Y (n__fst (activate X) (activate Z))))
(rule (from X) (cons X (n__from (s X))))
(rule (add |0| X) X)
(rule (add (s X) Y) (s (n__add (activate X) Y)))
(rule (len nil) |0|)
(rule (len (cons X Z)) (s (n__len (activate Z))))
(rule (fst X1 X2) (n__fst X1 X2))
(rule (from X) (n__from X))
(rule (add X1 X2) (n__add X1 X2))
(rule (len X) (n__len X))
(rule (activate (n__fst X1 X2)) (fst X1 X2))
(rule (activate (n__from X)) (from X))
(rule (activate (n__add X1 X2)) (add X1 X2))
(rule (activate (n__len X)) (len X))
(rule (activate X) X)