- : unit = () - : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] norm(nil) -> 0 [2] norm(g(x,y)) -> s(norm(x)) [3] f(x,nil) -> g(nil,x) [4] f(x,g(y,z)) -> g(f(x,y),z) [5] rem(nil,y) -> nil [6] rem(g(x,y),0) -> g(x,y) [7] rem(g(x,y),s(z)) -> rem(x,z) Sub problem: guided: DP termination of: END GUIDED APPLY CRITERIA (Graph splitting) Found 3 components: { --> } { --> } { --> } APPLY CRITERIA (Subterm criterion) ST: Marked_norm -> 1 APPLY CRITERIA (Subterm criterion) ST: Marked_f -> 2 APPLY CRITERIA (Subterm criterion) ST: Marked_rem -> 1 APPLY CRITERIA (Graph splitting) Found 0 components: APPLY CRITERIA (Graph splitting) Found 0 components: APPLY CRITERIA (Graph splitting) Found 0 components: SOLVED { TRS termination of: [1] norm(nil) -> 0 [2] norm(g(x,y)) -> s(norm(x)) [3] f(x,nil) -> g(nil,x) [4] f(x,g(y,z)) -> g(f(x,y),z) [5] rem(nil,y) -> nil [6] rem(g(x,y),0) -> g(x,y) [7] rem(g(x,y),s(z)) -> rem(x,z) , 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 [ ]} ]} { DP termination of: , CRITERION: ST [ { DP termination of: , CRITERION: SG [ ]} ]} ]} ]} Cime worked for 0.007641 seconds (real time) Cime Exit Status: 0