- : unit = () - : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] f(a) -> f(c(a)) [2] f(c(X)) -> X [3] f(c(a)) -> f(d(b)) [4] f(a) -> f(d(a)) [5] f(d(X)) -> X [6] f(c(b)) -> f(d(a)) [7] e(g(X)) -> e(X) Sub problem: guided: DP termination of: END GUIDED APPLY CRITERIA (Graph splitting) Found 1 components: { --> } APPLY CRITERIA (Subterm criterion) ST: Marked_e -> 1 APPLY CRITERIA (Graph splitting) Found 0 components: SOLVED { TRS termination of: [1] f(a) -> f(c(a)) [2] f(c(X)) -> X [3] f(c(a)) -> f(d(b)) [4] f(a) -> f(d(a)) [5] f(d(X)) -> X [6] f(c(b)) -> f(d(a)) [7] e(g(X)) -> e(X) , CRITERION: MDP [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: ST [ { DP termination of: , CRITERION: SG [ ]} ]} ]} ]} Cime worked for 0.005446 seconds (real time) Cime Exit Status: 0