- : unit = () - : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] a(c(d(x))) -> c(x) [2] u(b(d(d(x)))) -> b(x) [3] v(a(a(x))) -> u(v(x)) [4] v(a(c(x))) -> u(b(d(x))) [5] v(c(x)) -> b(x) [6] w(a(a(x))) -> u(w(x)) [7] w(a(c(x))) -> u(b(d(x))) [8] w(c(x)) -> b(x) Sub problem: guided: DP termination of: END GUIDED APPLY CRITERIA (Graph splitting) Found 2 components: { --> } { --> } APPLY CRITERIA (Subterm criterion) ST: Marked_v -> 1 APPLY CRITERIA (Subterm criterion) ST: Marked_w -> 1 APPLY CRITERIA (Graph splitting) Found 0 components: APPLY CRITERIA (Graph splitting) Found 0 components: SOLVED { TRS termination of: [1] a(c(d(x))) -> c(x) [2] u(b(d(d(x)))) -> b(x) [3] v(a(a(x))) -> u(v(x)) [4] v(a(c(x))) -> u(b(d(x))) [5] v(c(x)) -> b(x) [6] w(a(a(x))) -> u(w(x)) [7] w(a(c(x))) -> u(b(d(x))) [8] w(c(x)) -> b(x) , CRITERION: MDP [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: ST [ { DP termination of: , CRITERION: SG [ ]} ]} { DP termination of: , CRITERION: ST [ { DP termination of: , CRITERION: SG [ ]} ]} ]} ]} Cime worked for 0.007247 seconds (real time) Cime Exit Status: 0