; @origtpdbfilename ./TRS/nontermin/CSR/Ex6_15_AEL02.trs
; @xtcfilename "./TRS_Standard/Strategy_removed_CSR_05/Ex6_15_AEL02.xml"
(format TRS)
(fun sel 2)
(fun s 1)
(fun cons 2)
(fun |0| 0)
(fun first 2)
(fun nil 0)
(fun from 1)
(fun sel1 2)
(fun quote 1)
(fun first1 2)
(fun nil1 0)
(fun cons1 2)
(fun |01| 0)
(fun quote1 1)
(fun s1 1)
(fun unquote 1)
(fun unquote1 1)
(fun fcons 2)
(rule (sel (s X) (cons Y Z)) (sel X Z))
(rule (sel |0| (cons X Z)) X)
(rule (first |0| Z) nil)
(rule (first (s X) (cons Y Z)) (cons Y (first X Z)))
(rule (from X) (cons X (from (s X))))
(rule (sel1 (s X) (cons Y Z)) (sel1 X Z))
(rule (sel1 |0| (cons X Z)) (quote X))
(rule (first1 |0| Z) nil1)
(rule (first1 (s X) (cons Y Z)) (cons1 (quote Y) (first1 X Z)))
(rule (quote |0|) |01|)
(rule (quote1 (cons X Z)) (cons1 (quote X) (quote1 Z)))
(rule (quote1 nil) nil1)
(rule (quote (s X)) (s1 (quote X)))
(rule (quote (sel X Z)) (sel1 X Z))
(rule (quote1 (first X Z)) (first1 X Z))
(rule (unquote |01|) |0|)
(rule (unquote (s1 X)) (s (unquote X)))
(rule (unquote1 nil1) nil)
(rule (unquote1 (cons1 X Z)) (fcons (unquote X) (unquote1 Z)))
(rule (fcons X Z) (cons X Z))