/home/nowonder/forschung/aprove/TPDB05/TRS/Zantema/z09.trs

The program

(VAR x y z)
(RULES
a(lambda(x),y) -> lambda(a(x,p(1,a(y,t))))
a(p(x,y),z) -> p(a(x,z),a(y,z))
a(a(x,y),z) -> a(x,a(y,z))
lambda(x) -> x
a(x,y) -> x
a(x,y) -> y
p(x,y) -> x
p(x,y) -> y
)
(COMMENT simple termination of SUBST, see TERESE book page 248)

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