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(VAR x y) (RULES +(x,0) -> x +(x,s(y)) -> s(+(x,y)) d(0) -> 0 d(s(x)) -> s(s(d(x))) f(0) -> 0 f(s(x)) -> +(+(s(x),s(x)),s(x)) f(g(0)) -> +(+(g(0),g(0)),g(0)) g(x) -> s(d(x)) ) (COMMENT Example 4.2 of \cite{Toy81}) (COMMENT %% TagRevision: 1 %%) (COMMENT %% Tags: [4ec3f840a05b8]left_linear{};[4ec3f87f0f1e0]non_linear{};[4ec3f8ba9ab8f]locally_confluent{};[4ec3f8e364c34]non_orthogonal{};[4ec3f8f02d112]terminating {};[4ec3f91b0f9a4]non_ground{};[4ec3f8a64407a]literature{};[4fc5fa7baf634]acp2012{};[4fc5fab0d56cb]saigawa2012{};[4fc5faba66331]ceta2012{};[4fc5faa19a527]csi2012{};[4fc5fac30082d]coco2012{};[4ec3f7a89687c]confluent{};[50d31f6c22d6f]trs{} %%)