/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__dbl(0()) -> 0()
 a__dbl(s(X)) -> s(s(dbl(X)))
 a__dbls(nil()) -> nil()
 a__dbls(cons(X,Y)) -> cons(dbl(X),dbls(Y))
 a__sel(0(),cons(X,Y)) -> mark(X)
 a__sel(s(X),cons(Y,Z)) -> a__sel(mark(X),mark(Z))
 a__indx(nil(),X) -> nil()
 a__indx(cons(X,Y),Z) -> cons(sel(X,Z),indx(Y,Z))
 a__from(X) -> cons(X,from(s(X)))
 a__dbl1(0()) -> 01()
 a__dbl1(s(X)) -> s1(s1(a__dbl1(mark(X))))
 a__sel1(0(),cons(X,Y)) -> mark(X)
 a__sel1(s(X),cons(Y,Z)) -> a__sel1(mark(X),mark(Z))
 a__quote(0()) -> 01()
 a__quote(s(X)) -> s1(a__quote(mark(X)))
 a__quote(dbl(X)) -> a__dbl1(mark(X))
 a__quote(sel(X,Y)) -> a__sel1(mark(X),mark(Y))
 mark(dbl(X)) -> a__dbl(mark(X))
 mark(dbls(X)) -> a__dbls(mark(X))
 mark(sel(X1,X2)) -> a__sel(mark(X1),mark(X2))
 mark(indx(X1,X2)) -> a__indx(mark(X1),X2)
 mark(from(X)) -> a__from(X)
 mark(dbl1(X)) -> a__dbl1(mark(X))
 mark(sel1(X1,X2)) -> a__sel1(mark(X1),mark(X2))
 mark(quote(X)) -> a__quote(mark(X))
 mark(0()) -> 0()
 mark(s(X)) -> s(X)
 mark(nil()) -> nil()
 mark(cons(X1,X2)) -> cons(X1,X2)
 mark(01()) -> 01()
 mark(s1(X)) -> s1(mark(X))
 a__dbl(X) -> dbl(X)
 a__dbls(X) -> dbls(X)
 a__sel(X1,X2) -> sel(X1,X2)
 a__indx(X1,X2) -> indx(X1,X2)
 a__from(X) -> from(X)
 a__dbl1(X) -> dbl1(X)
 a__sel1(X1,X2) -> sel1(X1,X2)
 a__quote(X) -> quote(X)

Proof:
 Open