/export/starexec/sandbox2/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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MAYBE

Problem:
 a__terms(N) -> cons(recip(a__sqr(mark(N))),terms(s(N)))
 a__sqr(0()) -> 0()
 a__sqr(s(X)) -> s(a__add(a__sqr(mark(X)),a__dbl(mark(X))))
 a__dbl(0()) -> 0()
 a__dbl(s(X)) -> s(s(a__dbl(mark(X))))
 a__add(0(),X) -> mark(X)
 a__add(s(X),Y) -> s(a__add(mark(X),mark(Y)))
 a__first(0(),X) -> nil()
 a__first(s(X),cons(Y,Z)) -> cons(mark(Y),first(X,Z))
 a__half(0()) -> 0()
 a__half(s(0())) -> 0()
 a__half(s(s(X))) -> s(a__half(mark(X)))
 a__half(dbl(X)) -> mark(X)
 mark(terms(X)) -> a__terms(mark(X))
 mark(sqr(X)) -> a__sqr(mark(X))
 mark(add(X1,X2)) -> a__add(mark(X1),mark(X2))
 mark(dbl(X)) -> a__dbl(mark(X))
 mark(first(X1,X2)) -> a__first(mark(X1),mark(X2))
 mark(half(X)) -> a__half(mark(X))
 mark(cons(X1,X2)) -> cons(mark(X1),X2)
 mark(recip(X)) -> recip(mark(X))
 mark(s(X)) -> s(mark(X))
 mark(0()) -> 0()
 mark(nil()) -> nil()
 a__terms(X) -> terms(X)
 a__sqr(X) -> sqr(X)
 a__add(X1,X2) -> add(X1,X2)
 a__dbl(X) -> dbl(X)
 a__first(X1,X2) -> first(X1,X2)
 a__half(X) -> half(X)

Proof:
 Open