MAYBE Time: 0.002732 TRS: { cond2(true(), x, y) -> cond2(gr(y, 0()), x, p y), cond2(false(), x, y) -> cond1(gr(x, 0()), p x, y), gr(0(), x) -> false(), gr(s x, 0()) -> true(), gr(s x, s y) -> gr(x, y), cond1(true(), x, y) -> cond2(gr(y, 0()), x, y), p 0() -> 0(), p s x -> x} DP: DP: { cond2#(true(), x, y) -> cond2#(gr(y, 0()), x, p y), cond2#(true(), x, y) -> gr#(y, 0()), cond2#(true(), x, y) -> p# y, cond2#(false(), x, y) -> gr#(x, 0()), cond2#(false(), x, y) -> cond1#(gr(x, 0()), p x, y), cond2#(false(), x, y) -> p# x, gr#(s x, s y) -> gr#(x, y), cond1#(true(), x, y) -> cond2#(gr(y, 0()), x, y), cond1#(true(), x, y) -> gr#(y, 0())} TRS: { cond2(true(), x, y) -> cond2(gr(y, 0()), x, p y), cond2(false(), x, y) -> cond1(gr(x, 0()), p x, y), gr(0(), x) -> false(), gr(s x, 0()) -> true(), gr(s x, s y) -> gr(x, y), cond1(true(), x, y) -> cond2(gr(y, 0()), x, y), p 0() -> 0(), p s x -> x} EDG: {(gr#(s x, s y) -> gr#(x, y), gr#(s x, s y) -> gr#(x, y)) (cond2#(true(), x, y) -> cond2#(gr(y, 0()), x, p y), cond2#(true(), x, y) -> cond2#(gr(y, 0()), x, p y)) (cond2#(true(), x, y) -> cond2#(gr(y, 0()), x, p y), cond2#(true(), x, y) -> gr#(y, 0())) (cond2#(true(), x, y) -> cond2#(gr(y, 0()), x, p y), cond2#(true(), x, y) -> p# y) (cond2#(true(), x, y) -> cond2#(gr(y, 0()), x, p y), cond2#(false(), x, y) -> gr#(x, 0())) (cond2#(true(), x, y) -> cond2#(gr(y, 0()), x, p y), cond2#(false(), x, y) -> cond1#(gr(x, 0()), p x, y)) (cond2#(true(), x, y) -> cond2#(gr(y, 0()), x, p y), cond2#(false(), x, y) -> p# x) (cond1#(true(), x, y) -> cond2#(gr(y, 0()), x, y), cond2#(true(), x, y) -> cond2#(gr(y, 0()), x, p y)) (cond1#(true(), x, y) -> cond2#(gr(y, 0()), x, y), cond2#(true(), x, y) -> gr#(y, 0())) (cond1#(true(), x, y) -> cond2#(gr(y, 0()), x, y), cond2#(true(), x, y) -> p# y) (cond1#(true(), x, y) -> cond2#(gr(y, 0()), x, y), cond2#(false(), x, y) -> gr#(x, 0())) (cond1#(true(), x, y) -> cond2#(gr(y, 0()), x, y), cond2#(false(), x, y) -> cond1#(gr(x, 0()), p x, y)) (cond1#(true(), x, y) -> cond2#(gr(y, 0()), x, y), cond2#(false(), x, y) -> p# x) (cond2#(false(), x, y) -> cond1#(gr(x, 0()), p x, y), cond1#(true(), x, y) -> cond2#(gr(y, 0()), x, y)) (cond2#(false(), x, y) -> cond1#(gr(x, 0()), p x, y), cond1#(true(), x, y) -> gr#(y, 0()))} STATUS: arrows: 0.814815 SCCS (2): Scc: {gr#(s x, s y) -> gr#(x, y)} Scc: { cond2#(true(), x, y) -> cond2#(gr(y, 0()), x, p y), cond2#(false(), x, y) -> cond1#(gr(x, 0()), p x, y), cond1#(true(), x, y) -> cond2#(gr(y, 0()), x, y)} SCC (1): Strict: {gr#(s x, s y) -> gr#(x, y)} Weak: { cond2(true(), x, y) -> cond2(gr(y, 0()), x, p y), cond2(false(), x, y) -> cond1(gr(x, 0()), p x, y), gr(0(), x) -> false(), gr(s x, 0()) -> true(), gr(s x, s y) -> gr(x, y), cond1(true(), x, y) -> cond2(gr(y, 0()), x, y), p 0() -> 0(), p s x -> x} Open SCC (3): Strict: { cond2#(true(), x, y) -> cond2#(gr(y, 0()), x, p y), cond2#(false(), x, y) -> cond1#(gr(x, 0()), p x, y), cond1#(true(), x, y) -> cond2#(gr(y, 0()), x, y)} Weak: { cond2(true(), x, y) -> cond2(gr(y, 0()), x, p y), cond2(false(), x, y) -> cond1(gr(x, 0()), p x, y), gr(0(), x) -> false(), gr(s x, 0()) -> true(), gr(s x, s y) -> gr(x, y), cond1(true(), x, y) -> cond2(gr(y, 0()), x, y), p 0() -> 0(), p s x -> x} Open