MAYBE Time: 0.001584 TRS: { h(z, e x) -> h(c z, d(z, x)), d(z, g(x, y)) -> g(e x, d(z, y)), d(z, g(0(), 0())) -> e 0(), d(c z, g(g(x, y), 0())) -> g(d(c z, g(x, y)), d(z, g(x, y))), g(e x, e y) -> e g(x, y)} DP: DP: { h#(z, e x) -> h#(c z, d(z, x)), h#(z, e x) -> d#(z, x), d#(z, g(x, y)) -> d#(z, y), d#(z, g(x, y)) -> g#(e x, d(z, y)), d#(c z, g(g(x, y), 0())) -> d#(z, g(x, y)), d#(c z, g(g(x, y), 0())) -> d#(c z, g(x, y)), d#(c z, g(g(x, y), 0())) -> g#(d(c z, g(x, y)), d(z, g(x, y))), g#(e x, e y) -> g#(x, y)} TRS: { h(z, e x) -> h(c z, d(z, x)), d(z, g(x, y)) -> g(e x, d(z, y)), d(z, g(0(), 0())) -> e 0(), d(c z, g(g(x, y), 0())) -> g(d(c z, g(x, y)), d(z, g(x, y))), g(e x, e y) -> e g(x, y)} UR: { d(z, g(x, y)) -> g(e x, d(z, y)), d(z, g(0(), 0())) -> e 0(), d(c z, g(g(x, y), 0())) -> g(d(c z, g(x, y)), d(z, g(x, y))), g(e x, e y) -> e g(x, y), a(w, v) -> w, a(w, v) -> v} EDG: {(h#(z, e x) -> h#(c z, d(z, x)), h#(z, e x) -> d#(z, x)) (h#(z, e x) -> h#(c z, d(z, x)), h#(z, e x) -> h#(c z, d(z, x))) (d#(c z, g(g(x, y), 0())) -> d#(z, g(x, y)), d#(c z, g(g(x, y), 0())) -> g#(d(c z, g(x, y)), d(z, g(x, y)))) (d#(c z, g(g(x, y), 0())) -> d#(z, g(x, y)), d#(c z, g(g(x, y), 0())) -> d#(c z, g(x, y))) (d#(c z, g(g(x, y), 0())) -> d#(z, g(x, y)), d#(c z, g(g(x, y), 0())) -> d#(z, g(x, y))) (d#(c z, g(g(x, y), 0())) -> d#(z, g(x, y)), d#(z, g(x, y)) -> g#(e x, d(z, y))) (d#(c z, g(g(x, y), 0())) -> d#(z, g(x, y)), d#(z, g(x, y)) -> d#(z, y)) (h#(z, e x) -> d#(z, x), d#(c z, g(g(x, y), 0())) -> g#(d(c z, g(x, y)), d(z, g(x, y)))) (h#(z, e x) -> d#(z, x), d#(c z, g(g(x, y), 0())) -> d#(c z, g(x, y))) (h#(z, e x) -> d#(z, x), d#(c z, g(g(x, y), 0())) -> d#(z, g(x, y))) (h#(z, e x) -> d#(z, x), d#(z, g(x, y)) -> g#(e x, d(z, y))) (h#(z, e x) -> d#(z, x), d#(z, g(x, y)) -> d#(z, y)) (g#(e x, e y) -> g#(x, y), g#(e x, e y) -> g#(x, y)) (d#(z, g(x, y)) -> d#(z, y), d#(z, g(x, y)) -> d#(z, y)) (d#(z, g(x, y)) -> d#(z, y), d#(z, g(x, y)) -> g#(e x, d(z, y))) (d#(z, g(x, y)) -> d#(z, y), d#(c z, g(g(x, y), 0())) -> d#(z, g(x, y))) (d#(z, g(x, y)) -> d#(z, y), d#(c z, g(g(x, y), 0())) -> d#(c z, g(x, y))) (d#(z, g(x, y)) -> d#(z, y), d#(c z, g(g(x, y), 0())) -> g#(d(c z, g(x, y)), d(z, g(x, y)))) (d#(c z, g(g(x, y), 0())) -> d#(c z, g(x, y)), d#(z, g(x, y)) -> d#(z, y)) (d#(c z, g(g(x, y), 0())) -> d#(c z, g(x, y)), d#(z, g(x, y)) -> g#(e x, d(z, y))) (d#(c z, g(g(x, y), 0())) -> d#(c z, g(x, y)), d#(c z, g(g(x, y), 0())) -> d#(z, g(x, y))) (d#(c z, g(g(x, y), 0())) -> d#(c z, g(x, y)), d#(c z, g(g(x, y), 0())) -> d#(c z, g(x, y))) (d#(c z, g(g(x, y), 0())) -> d#(c z, g(x, y)), d#(c z, g(g(x, y), 0())) -> g#(d(c z, g(x, y)), d(z, g(x, y)))) (d#(z, g(x, y)) -> g#(e x, d(z, y)), g#(e x, e y) -> g#(x, y)) (d#(c z, g(g(x, y), 0())) -> g#(d(c z, g(x, y)), d(z, g(x, y))), g#(e x, e y) -> g#(x, y))} STATUS: arrows: 0.609375 SCCS (3): Scc: {h#(z, e x) -> h#(c z, d(z, x))} Scc: { d#(z, g(x, y)) -> d#(z, y), d#(c z, g(g(x, y), 0())) -> d#(z, g(x, y)), d#(c z, g(g(x, y), 0())) -> d#(c z, g(x, y))} Scc: {g#(e x, e y) -> g#(x, y)} SCC (1): Strict: {h#(z, e x) -> h#(c z, d(z, x))} Weak: { h(z, e x) -> h(c z, d(z, x)), d(z, g(x, y)) -> g(e x, d(z, y)), d(z, g(0(), 0())) -> e 0(), d(c z, g(g(x, y), 0())) -> g(d(c z, g(x, y)), d(z, g(x, y))), g(e x, e y) -> e g(x, y)} Open SCC (3): Strict: { d#(z, g(x, y)) -> d#(z, y), d#(c z, g(g(x, y), 0())) -> d#(z, g(x, y)), d#(c z, g(g(x, y), 0())) -> d#(c z, g(x, y))} Weak: { h(z, e x) -> h(c z, d(z, x)), d(z, g(x, y)) -> g(e x, d(z, y)), d(z, g(0(), 0())) -> e 0(), d(c z, g(g(x, y), 0())) -> g(d(c z, g(x, y)), d(z, g(x, y))), g(e x, e y) -> e g(x, y)} Open SCC (1): Strict: {g#(e x, e y) -> g#(x, y)} Weak: { h(z, e x) -> h(c z, d(z, x)), d(z, g(x, y)) -> g(e x, d(z, y)), d(z, g(0(), 0())) -> e 0(), d(c z, g(g(x, y), 0())) -> g(d(c z, g(x, y)), d(z, g(x, y))), g(e x, e y) -> e g(x, y)} Open