- : unit = () - : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] merge(nil,y) -> y [2] merge(x,nil) -> x [3] merge(.(x,y),.(u,v)) -> if(<(x,u),.(x,merge(y,.(u,v))),.(u,merge(.(x,y),v))) [4] ++(nil,y) -> y [5] ++(.(x,y),z) -> .(x,++(y,z)) [6] if(true,x,y) -> x [7] if(false,x,y) -> x Sub problem: guided: DP termination of: END GUIDED APPLY CRITERIA (Graph splitting) Found 2 components: { --> --> --> --> } { --> } APPLY CRITERIA (Subterm criterion) ST: Marked_merge -> 2 APPLY CRITERIA (Subterm criterion) ST: Marked_++ -> 1 APPLY CRITERIA (Graph splitting) Found 1 components: { --> } APPLY CRITERIA (Subterm criterion) ST: Marked_merge -> 1 APPLY CRITERIA (Graph splitting) Found 0 components: APPLY CRITERIA (Graph splitting) Found 0 components: SOLVED { TRS termination of: [1] merge(nil,y) -> y [2] merge(x,nil) -> x [3] merge(.(x,y),.(u,v)) -> if(<(x,u),.(x,merge(y,.(u,v))),.(u,merge(.(x,y),v))) [4] ++(nil,y) -> y [5] ++(.(x,y),z) -> .(x,++(y,z)) [6] if(true,x,y) -> x [7] if(false,x,y) -> 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 [ ]} ]} ]} ]} { DP termination of: , CRITERION: ST [ { DP termination of: , CRITERION: SG [ ]} ]} ]} ]} Cime worked for 0.010397 seconds (real time) Cime Exit Status: 0