MAYBE Time: 0.048468 TRS: { app(app(app(app(filter2(), true()), f), x), xs) -> app(app(cons(), x), app(app(filter(), f), xs)), app(app(app(app(filter2(), false()), f), x), xs) -> app(app(filter(), f), xs), app(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app(app(:(), app(app(:(), x), z)), app(app(:(), app(app(:(), app(app(:(), x), y)), z)), u)), app(app(map(), f), app(app(cons(), x), xs)) -> app(app(cons(), app(f, x)), app(app(map(), f), xs)), app(app(map(), f), nil()) -> nil(), app(app(filter(), f), app(app(cons(), x), xs)) -> app(app(app(app(filter2(), app(f, x)), f), x), xs), app(app(filter(), f), nil()) -> nil()} DP: DP: { app#(app(app(app(filter2(), true()), f), x), xs) -> app#(app(cons(), x), app(app(filter(), f), xs)), app#(app(app(app(filter2(), true()), f), x), xs) -> app#(app(filter(), f), xs), app#(app(app(app(filter2(), true()), f), x), xs) -> app#(cons(), x), app#(app(app(app(filter2(), true()), f), x), xs) -> app#(filter(), f), app#(app(app(app(filter2(), false()), f), x), xs) -> app#(app(filter(), f), xs), app#(app(app(app(filter2(), false()), f), x), xs) -> app#(filter(), f), app#(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app#(app(:(), x), z), app#(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app#(app(:(), x), y), app#(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app#(app(:(), app(app(:(), x), z)), app(app(:(), app(app(:(), app(app(:(), x), y)), z)), u)), app#(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app#(app(:(), app(app(:(), x), y)), z), app#(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app#(app(:(), app(app(:(), app(app(:(), x), y)), z)), u), app#(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app#(:(), x), app#(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app#(:(), app(app(:(), x), z)), app#(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app#(:(), app(app(:(), x), y)), app#(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app#(:(), app(app(:(), app(app(:(), x), y)), z)), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(cons(), app(f, x)), app(app(map(), f), xs)), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(cons(), app(f, x)), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(f, x)), f), x), xs), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(filter2(), app(f, x)), f), x), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(filter2(), app(f, x)), f), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(filter2(), app(f, x))} TRS: { app(app(app(app(filter2(), true()), f), x), xs) -> app(app(cons(), x), app(app(filter(), f), xs)), app(app(app(app(filter2(), false()), f), x), xs) -> app(app(filter(), f), xs), app(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app(app(:(), app(app(:(), x), z)), app(app(:(), app(app(:(), app(app(:(), x), y)), z)), u)), app(app(map(), f), app(app(cons(), x), xs)) -> app(app(cons(), app(f, x)), app(app(map(), f), xs)), app(app(map(), f), nil()) -> nil(), app(app(filter(), f), app(app(cons(), x), xs)) -> app(app(app(app(filter2(), app(f, x)), f), x), xs), app(app(filter(), f), nil()) -> nil()} UR: { app(app(app(app(filter2(), true()), f), x), xs) -> app(app(cons(), x), app(app(filter(), f), xs)), app(app(app(app(filter2(), false()), f), x), xs) -> app(app(filter(), f), xs), app(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app(app(:(), app(app(:(), x), z)), app(app(:(), app(app(:(), app(app(:(), x), y)), z)), u)), app(app(map(), f), app(app(cons(), x), xs)) -> app(app(cons(), app(f, x)), app(app(map(), f), xs)), app(app(map(), f), nil()) -> nil(), app(app(filter(), f), app(app(cons(), x), xs)) -> app(app(app(app(filter2(), app(f, x)), f), x), xs), app(app(filter(), f), nil()) -> nil(), a(w, v) -> w, a(w, v) -> v} EDG: { (app#(app(app(app(filter2(), false()), f), x), xs) -> app#(app(filter(), f), xs), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(filter2(), app(f, x))) (app#(app(app(app(filter2(), false()), f), x), xs) -> app#(app(filter(), f), xs), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(filter2(), app(f, x)), f)) (app#(app(app(app(filter2(), false()), f), x), xs) -> app#(app(filter(), f), xs), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(filter2(), app(f, x)), f), x)) (app#(app(app(app(filter2(), false()), f), x), xs) -> app#(app(filter(), f), xs), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(f, x)), f), x), xs)) (app#(app(app(app(filter2(), false()), f), x), xs) -> app#(app(filter(), f), xs), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x)) (app#(app(app(app(filter2(), false()), f), x), xs) -> app#(app(filter(), f), xs), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(cons(), app(f, x))) (app#(app(app(app(filter2(), false()), f), x), xs) -> app#(app(filter(), f), xs), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(cons(), app(f, x)), app(app(map(), f), xs))) (app#(app(app(app(filter2(), false()), f), x), xs) -> app#(app(filter(), f), xs), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs)) (app#(app(app(app(filter2(), false()), f), x), xs) -> app#(app(filter(), f), xs), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x)) (app#(app(app(app(filter2(), false()), f), x), xs) -> app#(app(filter(), f), xs), app#(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app#(:(), app(app(:(), app(app(:(), x), y)), z))) (app#(app(app(app(filter2(), false()), f), x), xs) -> app#(app(filter(), f), xs), app#(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app#(:(), app(app(:(), x), y))) (app#(app(app(app(filter2(), false()), f), x), xs) -> app#(app(filter(), f), xs), app#(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app#(:(), app(app(:(), x), z))) (app#(app(app(app(filter2(), false()), f), x), xs) -> app#(app(filter(), f), xs), app#(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app#(:(), x)) (app#(app(app(app(filter2(), false()), f), x), xs) -> app#(app(filter(), f), xs), app#(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app#(app(:(), app(app(:(), app(app(:(), x), y)), z)), u)) (app#(app(app(app(filter2(), false()), f), x), xs) -> app#(app(filter(), f), xs), app#(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app#(app(:(), app(app(:(), x), y)), z)) (app#(app(app(app(filter2(), false()), f), x), xs) -> app#(app(filter(), f), xs), app#(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app#(app(:(), app(app(:(), x), z)), app(app(:(), app(app(:(), app(app(:(), x), y)), z)), u))) (app#(app(app(app(filter2(), false()), f), x), xs) -> app#(app(filter(), f), xs), app#(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app#(app(:(), x), y)) (app#(app(app(app(filter2(), false()), f), x), xs) -> app#(app(filter(), f), xs), app#(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app#(app(:(), x), z)) (app#(app(app(app(filter2(), false()), f), x), xs) -> app#(app(filter(), f), xs), app#(app(app(app(filter2(), false()), f), x), xs) -> app#(filter(), f)) (app#(app(app(app(filter2(), false()), f), x), xs) -> app#(app(filter(), f), xs), app#(app(app(app(filter2(), false()), f), x), xs) -> app#(app(filter(), f), xs)) (app#(app(app(app(filter2(), false()), f), x), xs) -> app#(app(filter(), f), xs), app#(app(app(app(filter2(), true()), f), x), xs) -> app#(filter(), f)) (app#(app(app(app(filter2(), false()), f), x), xs) -> app#(app(filter(), f), xs), app#(app(app(app(filter2(), true()), f), x), xs) -> app#(cons(), x)) (app#(app(app(app(filter2(), false()), f), x), xs) -> app#(app(filter(), f), xs), app#(app(app(app(filter2(), true()), f), x), xs) -> app#(app(filter(), f), xs)) (app#(app(app(app(filter2(), false()), f), x), xs) -> app#(app(filter(), f), xs), app#(app(app(app(filter2(), true()), f), x), xs) -> app#(app(cons(), x), app(app(filter(), f), xs))) (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(filter2(), app(f, x))) (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(filter2(), app(f, x)), f)) (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(filter2(), app(f, x)), f), x)) (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(f, x)), f), x), xs)) (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x)) (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(cons(), app(f, x))) (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(cons(), app(f, x)), app(app(map(), f), xs))) (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs)) (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x)) (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs), app#(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app#(:(), app(app(:(), app(app(:(), x), y)), z))) (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs), app#(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app#(:(), app(app(:(), x), y))) (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs), app#(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app#(:(), app(app(:(), x), z))) (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs), app#(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app#(:(), x)) (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs), app#(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app#(app(:(), app(app(:(), app(app(:(), x), y)), z)), u)) (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs), app#(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app#(app(:(), app(app(:(), x), y)), z)) (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs), app#(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app#(app(:(), app(app(:(), x), z)), app(app(:(), app(app(:(), app(app(:(), x), y)), z)), u))) (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs), app#(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app#(app(:(), x), y)) (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs), app#(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app#(app(:(), x), z)) (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs), app#(app(app(app(filter2(), false()), f), x), xs) -> app#(filter(), f)) (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs), app#(app(app(app(filter2(), false()), f), x), xs) -> app#(app(filter(), f), xs)) (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs), app#(app(app(app(filter2(), true()), f), x), xs) -> app#(filter(), f)) (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs), app#(app(app(app(filter2(), true()), f), x), xs) -> app#(cons(), x)) (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs), app#(app(app(app(filter2(), true()), f), x), xs) -> app#(app(filter(), f), xs)) (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs), app#(app(app(app(filter2(), true()), f), x), xs) -> app#(app(cons(), x), app(app(filter(), f), xs))) (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(f, x)), f), x), xs), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(filter2(), app(f, x))) (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(f, x)), f), x), xs), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(filter2(), app(f, x)), f)) (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(f, x)), f), x), xs), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(filter2(), app(f, x)), f), x)) (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(f, x)), f), x), xs), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(f, x)), f), x), xs)) (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(f, x)), f), x), xs), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x)) (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(f, x)), f), x), xs), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(cons(), app(f, x))) (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(f, x)), f), x), xs), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(cons(), app(f, x)), app(app(map(), f), xs))) (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(f, x)), f), x), xs), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs)) (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(f, x)), f), x), xs), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x)) (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(f, x)), f), x), xs), app#(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app#(:(), app(app(:(), app(app(:(), x), y)), z))) (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(f, x)), f), x), xs), app#(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app#(:(), app(app(:(), x), y))) (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(f, x)), f), x), xs), app#(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app#(:(), app(app(:(), x), z))) (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(f, x)), f), x), xs), app#(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app#(:(), x)) (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(f, x)), f), x), xs), app#(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app#(app(:(), app(app(:(), app(app(:(), x), y)), z)), u)) (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(f, x)), f), x), xs), app#(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app#(app(:(), app(app(:(), x), y)), z)) (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(f, x)), f), x), xs), app#(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app#(app(:(), app(app(:(), x), z)), app(app(:(), app(app(:(), app(app(:(), x), y)), z)), u))) (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(f, x)), f), x), xs), app#(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app#(app(:(), x), y)) (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(f, x)), f), x), xs), app#(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app#(app(:(), x), z)) (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(f, x)), f), x), xs), app#(app(app(app(filter2(), false()), f), x), xs) -> app#(filter(), f)) (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(f, x)), f), x), xs), app#(app(app(app(filter2(), false()), f), x), xs) -> app#(app(filter(), f), xs)) (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(f, x)), f), x), xs), app#(app(app(app(filter2(), true()), f), x), xs) -> app#(filter(), f)) (app#(app(filter(), f), 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app(app(:(), C()), x)), y)), z)), u) -> app#(app(:(), x), y)) (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app#(app(:(), app(app(:(), x), z)), app(app(:(), app(app(:(), app(app(:(), x), y)), z)), u))) (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app#(app(:(), app(app(:(), x), y)), z)) (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app#(app(:(), app(app(:(), app(app(:(), x), y)), z)), u)) (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app#(:(), x)) (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app#(:(), app(app(:(), x), z))) (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app#(:(), app(app(:(), x), y))) (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app#(:(), app(app(:(), app(app(:(), x), y)), z))) (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x)) (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs)) (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(cons(), app(f, x)), app(app(map(), f), xs))) (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(cons(), app(f, x))) (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x)) (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(f, x)), f), x), xs)) (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(filter2(), app(f, x)), f), x)) (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(filter2(), app(f, x)), f)) (app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(filter2(), app(f, x))) (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(app(app(filter2(), true()), f), x), xs) -> app#(app(cons(), x), app(app(filter(), f), xs))) (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(app(app(filter2(), true()), f), x), xs) -> app#(app(filter(), f), xs)) (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(app(app(filter2(), true()), f), x), xs) -> app#(cons(), x)) (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(app(app(filter2(), true()), f), x), xs) -> app#(filter(), f)) (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(app(app(filter2(), false()), f), x), xs) -> app#(app(filter(), f), xs)) (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(app(app(filter2(), false()), f), x), xs) -> app#(filter(), f)) (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app#(app(:(), x), z)) (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app#(app(:(), x), y)) (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app#(app(:(), app(app(:(), x), z)), app(app(:(), app(app(:(), app(app(:(), x), y)), z)), u))) (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app#(app(:(), app(app(:(), x), y)), z)) (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app#(app(:(), app(app(:(), app(app(:(), x), y)), z)), u)) (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app#(:(), x)) (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app#(:(), app(app(:(), x), z))) (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app#(:(), app(app(:(), x), y))) (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app#(:(), app(app(:(), app(app(:(), x), y)), z))) (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x)) (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs)) (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(cons(), app(f, x)), app(app(map(), f), xs))) (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(cons(), app(f, x))) (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x)) (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(f, x)), f), x), xs)) (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(filter2(), app(f, x)), f), x)) (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(filter2(), app(f, x)), f)) (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(filter2(), app(f, x))) (app#(app(app(app(filter2(), true()), f), x), xs) -> app#(app(filter(), f), xs), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x)) (app#(app(app(app(filter2(), true()), f), x), xs) -> app#(app(filter(), f), xs), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(app(filter2(), app(f, x)), f), x), xs)) (app#(app(app(app(filter2(), true()), f), x), xs) -> app#(app(filter(), f), xs), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(app(filter2(), app(f, x)), f), x)) (app#(app(app(app(filter2(), true()), f), x), xs) -> app#(app(filter(), f), xs), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(app(filter2(), app(f, x)), f)) (app#(app(app(app(filter2(), true()), f), x), xs) -> app#(app(filter(), f), xs), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(filter2(), app(f, x))) } STATUS: arrows: 0.814236 SCCS (2): Scc: { app#(app(app(app(filter2(), true()), f), x), xs) -> app#(app(filter(), f), xs), app#(app(app(app(filter2(), false()), f), x), xs) -> app#(app(filter(), f), xs), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x)} Scc: {app#(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app#(app(:(), x), z), app#(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app#(app(:(), x), y), app#(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app#(app(:(), app(app(:(), x), z)), app(app(:(), app(app(:(), app(app(:(), x), y)), z)), u)), app#(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app#(app(:(), app(app(:(), x), y)), z), app#(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app#(app(:(), app(app(:(), app(app(:(), x), y)), z)), u)} SCC (5): Strict: { app#(app(app(app(filter2(), true()), f), x), xs) -> app#(app(filter(), f), xs), app#(app(app(app(filter2(), false()), f), x), xs) -> app#(app(filter(), f), xs), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs), app#(app(filter(), f), app(app(cons(), x), xs)) -> app#(f, x)} Weak: { app(app(app(app(filter2(), true()), f), x), xs) -> app(app(cons(), x), app(app(filter(), f), xs)), app(app(app(app(filter2(), false()), f), x), xs) -> app(app(filter(), f), xs), app(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app(app(:(), app(app(:(), x), z)), app(app(:(), app(app(:(), app(app(:(), x), y)), z)), u)), app(app(map(), f), app(app(cons(), x), xs)) -> app(app(cons(), app(f, x)), app(app(map(), f), xs)), app(app(map(), f), nil()) -> nil(), app(app(filter(), f), app(app(cons(), x), xs)) -> app(app(app(app(filter2(), app(f, x)), f), x), xs), app(app(filter(), f), nil()) -> nil()} Open SCC (5): Strict: {app#(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app#(app(:(), x), z), app#(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app#(app(:(), x), y), app#(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app#(app(:(), app(app(:(), x), z)), app(app(:(), app(app(:(), app(app(:(), x), y)), z)), u)), app#(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app#(app(:(), app(app(:(), x), y)), z), app#(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app#(app(:(), app(app(:(), app(app(:(), x), y)), z)), u)} Weak: { app(app(app(app(filter2(), true()), f), x), xs) -> app(app(cons(), x), app(app(filter(), f), xs)), app(app(app(app(filter2(), false()), f), x), xs) -> app(app(filter(), f), xs), app(app(:(), app(app(:(), app(app(:(), app(app(:(), C()), x)), y)), z)), u) -> app(app(:(), app(app(:(), x), z)), app(app(:(), app(app(:(), app(app(:(), x), y)), z)), u)), app(app(map(), f), app(app(cons(), x), xs)) -> app(app(cons(), app(f, x)), app(app(map(), f), xs)), app(app(map(), f), nil()) -> nil(), app(app(filter(), f), app(app(cons(), x), xs)) -> app(app(app(app(filter2(), app(f, x)), f), x), xs), app(app(filter(), f), nil()) -> nil()} Open