MAYBE Time: 0.008116 TRS: { p 0() -> 0(), p s x -> x, minus(x, 0()) -> x, minus(x, s y) -> p minus(x, y), minus(s x, s y) -> minus(x, y), div(0(), s y) -> 0(), div(s x, s y) -> s div(minus(s x, s y), s y), log(s 0(), s s y) -> 0(), log(s s x, s s y) -> s log(div(minus(x, y), s s y), s s y)} DP: DP: { minus#(x, s y) -> p# minus(x, y), minus#(x, s y) -> minus#(x, y), minus#(s x, s y) -> minus#(x, y), div#(s x, s y) -> minus#(s x, s y), div#(s x, s y) -> div#(minus(s x, s y), s y), log#(s s x, s s y) -> minus#(x, y), log#(s s x, s s y) -> div#(minus(x, y), s s y), log#(s s x, s s y) -> log#(div(minus(x, y), s s y), s s y)} TRS: { p 0() -> 0(), p s x -> x, minus(x, 0()) -> x, minus(x, s y) -> p minus(x, y), minus(s x, s y) -> minus(x, y), div(0(), s y) -> 0(), div(s x, s y) -> s div(minus(s x, s y), s y), log(s 0(), s s y) -> 0(), log(s s x, s s y) -> s log(div(minus(x, y), s s y), s s y)} UR: { p 0() -> 0(), p s x -> x, minus(x, 0()) -> x, minus(x, s y) -> p minus(x, y), minus(s x, s y) -> minus(x, y), div(0(), s y) -> 0(), div(s x, s y) -> s div(minus(s x, s y), s y), a(z, w) -> z, a(z, w) -> w} EDG: {(log#(s s x, s s y) -> log#(div(minus(x, y), s s y), s s y), log#(s s x, s s y) -> log#(div(minus(x, y), s s y), s s y)) (log#(s s x, s s y) -> log#(div(minus(x, y), s s y), s s y), log#(s s x, s s y) -> div#(minus(x, y), s s y)) (log#(s s x, s s y) -> log#(div(minus(x, y), s s y), s s y), log#(s s x, s s y) -> minus#(x, y)) (minus#(s x, s y) -> minus#(x, y), minus#(s x, s y) -> minus#(x, y)) (minus#(s x, s y) -> minus#(x, y), minus#(x, s y) -> minus#(x, y)) (minus#(s x, s y) -> minus#(x, y), minus#(x, s y) -> p# minus(x, y)) (div#(s x, s y) -> div#(minus(s x, s y), s y), div#(s x, s y) -> div#(minus(s x, s y), s y)) (div#(s x, s y) -> div#(minus(s x, s y), s y), div#(s x, s y) -> minus#(s x, s y)) (div#(s x, s y) -> minus#(s x, s y), minus#(x, s y) -> p# minus(x, y)) (div#(s x, s y) -> minus#(s x, s y), minus#(x, s y) -> minus#(x, y)) (div#(s x, s y) -> minus#(s x, s y), minus#(s x, s y) -> minus#(x, y)) (log#(s s x, s s y) -> minus#(x, y), minus#(x, s y) -> p# minus(x, y)) (log#(s s x, s s y) -> minus#(x, y), minus#(x, s y) -> minus#(x, y)) (log#(s s x, s s y) -> minus#(x, y), minus#(s x, s y) -> minus#(x, y)) (minus#(x, s y) -> minus#(x, y), minus#(x, s y) -> p# minus(x, y)) (minus#(x, s y) -> minus#(x, y), minus#(x, s y) -> minus#(x, y)) (minus#(x, s y) -> minus#(x, y), minus#(s x, s y) -> minus#(x, y)) (log#(s s x, s s y) -> div#(minus(x, y), s s y), div#(s x, s y) -> minus#(s x, s y)) (log#(s s x, s s y) -> div#(minus(x, y), s s y), div#(s x, s y) -> div#(minus(s x, s y), s y))} EDG: {(log#(s s x, s s y) -> log#(div(minus(x, y), s s y), s s y), log#(s s x, s s y) -> log#(div(minus(x, y), s s y), s s y)) (log#(s s x, s s y) -> log#(div(minus(x, y), s s y), s s y), log#(s s x, s s y) -> div#(minus(x, y), s s y)) (log#(s s x, s s y) -> log#(div(minus(x, y), s s y), s s y), log#(s s x, s s y) -> minus#(x, y)) (minus#(s x, s y) -> minus#(x, y), minus#(s x, s y) -> minus#(x, y)) (minus#(s x, s y) -> minus#(x, y), minus#(x, s y) -> minus#(x, y)) (minus#(s x, s y) -> minus#(x, y), minus#(x, s y) -> p# minus(x, y)) (div#(s x, s y) -> div#(minus(s x, s y), s y), div#(s x, s y) -> div#(minus(s x, s y), s y)) (div#(s x, s y) -> div#(minus(s x, s y), s y), div#(s x, s y) -> minus#(s x, s y)) (div#(s x, s y) -> minus#(s x, s y), minus#(x, s y) -> p# minus(x, y)) (div#(s x, s y) -> minus#(s x, s y), minus#(x, s y) -> minus#(x, y)) (div#(s x, s y) -> minus#(s x, s y), minus#(s x, s y) -> minus#(x, y)) (log#(s s x, s s y) -> minus#(x, y), minus#(x, s y) -> p# minus(x, y)) (log#(s s x, s s y) -> minus#(x, y), minus#(x, s y) -> minus#(x, y)) (log#(s s x, s s y) -> minus#(x, y), minus#(s x, s y) -> minus#(x, y)) (minus#(x, s y) -> minus#(x, y), minus#(x, s y) -> p# minus(x, y)) (minus#(x, s y) -> minus#(x, y), minus#(x, s y) -> minus#(x, y)) (minus#(x, s y) -> minus#(x, y), minus#(s x, s y) -> minus#(x, y)) (log#(s s x, s s y) -> div#(minus(x, y), s s y), div#(s x, s y) -> minus#(s x, s y)) (log#(s s x, s s y) -> div#(minus(x, y), s s y), div#(s x, s y) -> div#(minus(s x, s y), s y))} EDG: {(log#(s s x, s s y) -> log#(div(minus(x, y), s s y), s s y), log#(s s x, s s y) -> log#(div(minus(x, y), s s y), s s y)) (log#(s s x, s s y) -> log#(div(minus(x, y), s s y), s s y), log#(s s x, s s y) -> div#(minus(x, y), s s y)) (log#(s s x, s s y) -> log#(div(minus(x, y), s s y), s s y), log#(s s x, s s y) -> minus#(x, y)) (minus#(s x, s y) -> minus#(x, y), minus#(s x, s y) -> minus#(x, y)) (minus#(s x, s y) -> minus#(x, y), minus#(x, s y) -> minus#(x, y)) (minus#(s x, s y) -> minus#(x, y), minus#(x, s y) -> p# minus(x, y)) (div#(s x, s y) -> div#(minus(s x, s y), s y), div#(s x, s y) -> div#(minus(s x, s y), s y)) (div#(s x, s y) -> div#(minus(s x, s y), s y), div#(s x, s y) -> minus#(s x, s y)) (div#(s x, s y) -> minus#(s x, s y), minus#(x, s y) -> p# minus(x, y)) (div#(s x, s y) -> minus#(s x, s y), minus#(x, s y) -> minus#(x, y)) (div#(s x, s y) -> minus#(s x, s y), minus#(s x, s y) -> minus#(x, y)) (log#(s s x, s s y) -> minus#(x, y), minus#(x, s y) -> p# minus(x, y)) (log#(s s x, s s y) -> minus#(x, y), minus#(x, s y) -> minus#(x, y)) (log#(s s x, s s y) -> minus#(x, y), minus#(s x, s y) -> minus#(x, y)) (minus#(x, s y) -> minus#(x, y), minus#(x, s y) -> p# minus(x, y)) (minus#(x, s y) -> minus#(x, y), minus#(x, s y) -> minus#(x, y)) (minus#(x, s y) -> minus#(x, y), minus#(s x, s y) -> minus#(x, y)) (log#(s s x, s s y) -> div#(minus(x, y), s s y), div#(s x, s y) -> minus#(s x, s y)) (log#(s s x, s s y) -> div#(minus(x, y), s s y), div#(s x, s y) -> div#(minus(s x, s y), s y))} EDG: {(log#(s s x, s s y) -> log#(div(minus(x, y), s s y), s s y), log#(s s x, s s y) -> log#(div(minus(x, y), s s y), s s y)) (log#(s s x, s s y) -> log#(div(minus(x, y), s s y), s s y), log#(s s x, s s y) -> div#(minus(x, y), s s y)) (log#(s s x, s s y) -> log#(div(minus(x, y), s s y), s s y), log#(s s x, s s y) -> minus#(x, y)) (minus#(s x, s y) -> minus#(x, y), minus#(s x, s y) -> minus#(x, y)) (minus#(s x, s y) -> minus#(x, y), minus#(x, s y) -> minus#(x, y)) (minus#(s x, s y) -> minus#(x, y), minus#(x, s y) -> p# minus(x, y)) (div#(s x, s y) -> div#(minus(s x, s y), s y), div#(s x, s y) -> div#(minus(s x, s y), s y)) (div#(s x, s y) -> div#(minus(s x, s y), s y), div#(s x, s y) -> minus#(s x, s y)) (div#(s x, s y) -> minus#(s x, s y), minus#(x, s y) -> p# minus(x, y)) (div#(s x, s y) -> minus#(s x, s y), minus#(x, s y) -> minus#(x, y)) (div#(s x, s y) -> minus#(s x, s y), minus#(s x, s y) -> minus#(x, y)) (log#(s s x, s s y) -> minus#(x, y), minus#(x, s y) -> p# minus(x, y)) (log#(s s x, s s y) -> minus#(x, y), minus#(x, s y) -> minus#(x, y)) (log#(s s x, s s y) -> minus#(x, y), minus#(s x, s y) -> minus#(x, y)) (minus#(x, s y) -> minus#(x, y), minus#(x, s y) -> p# minus(x, y)) (minus#(x, s y) -> minus#(x, y), minus#(x, s y) -> minus#(x, y)) (minus#(x, s y) -> minus#(x, y), minus#(s x, s y) -> minus#(x, y)) (log#(s s x, s s y) -> div#(minus(x, y), s s y), div#(s x, s y) -> minus#(s x, s y)) (log#(s s x, s s y) -> div#(minus(x, y), s s y), div#(s x, s y) -> div#(minus(s x, s y), s y))} STATUS: arrows: 0.703125 SCCS (3): Scc: {log#(s s x, s s y) -> log#(div(minus(x, y), s s y), s s y)} Scc: {div#(s x, s y) -> div#(minus(s x, s y), s y)} Scc: { minus#(x, s y) -> minus#(x, y), minus#(s x, s y) -> minus#(x, y)} SCC (1): Strict: {log#(s s x, s s y) -> log#(div(minus(x, y), s s y), s s y)} Weak: { p 0() -> 0(), p s x -> x, minus(x, 0()) -> x, minus(x, s y) -> p minus(x, y), minus(s x, s y) -> minus(x, y), div(0(), s y) -> 0(), div(s x, s y) -> s div(minus(s x, s y), s y), log(s 0(), s s y) -> 0(), log(s s x, s s y) -> s log(div(minus(x, y), s s y), s s y)} Open SCC (1): Strict: {div#(s x, s y) -> div#(minus(s x, s y), s y)} Weak: { p 0() -> 0(), p s x -> x, minus(x, 0()) -> x, minus(x, s y) -> p minus(x, y), minus(s x, s y) -> minus(x, y), div(0(), s y) -> 0(), div(s x, s y) -> s div(minus(s x, s y), s y), log(s 0(), s s y) -> 0(), log(s s x, s s y) -> s log(div(minus(x, y), s s y), s s y)} Open SCC (2): Strict: { minus#(x, s y) -> minus#(x, y), minus#(s x, s y) -> minus#(x, y)} Weak: { p 0() -> 0(), p s x -> x, minus(x, 0()) -> x, minus(x, s y) -> p minus(x, y), minus(s x, s y) -> minus(x, y), div(0(), s y) -> 0(), div(s x, s y) -> s div(minus(s x, s y), s y), log(s 0(), s s y) -> 0(), log(s s x, s s y) -> s log(div(minus(x, y), s s y), s s y)} Open