- : unit = () - : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] +(x,0) -> x [2] +(minus(x),x) -> 0 [3] minus(0) -> 0 [4] minus(minus(x)) -> x [5] minus(+(x,y)) -> +(minus(y),minus(x)) [6] *(x,1) -> x [7] *(x,0) -> 0 [8] *(x,+(y,z)) -> +( *(x,y), *(x,z)) [9] *(x,minus(y)) -> minus( *(x,y)) Sub problem: guided: DP termination of: END GUIDED APPLY CRITERIA (Graph splitting) Found 2 components: { --> --> --> --> --> --> --> --> --> } { --> --> --> --> } APPLY CRITERIA (Subterm criterion) ST: Marked_* -> 2 APPLY CRITERIA (Subterm criterion) ST: Marked_minus -> 1 APPLY CRITERIA (Graph splitting) Found 0 components: APPLY CRITERIA (Graph splitting) Found 0 components: SOLVED { TRS termination of: [1] +(x,0) -> x [2] +(minus(x),x) -> 0 [3] minus(0) -> 0 [4] minus(minus(x)) -> x [5] minus(+(x,y)) -> +(minus(y),minus(x)) [6] *(x,1) -> x [7] *(x,0) -> 0 [8] *(x,+(y,z)) -> +( *(x,y), *(x,z)) [9] *(x,minus(y)) -> minus( *(x,y)) , 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 0.009049 seconds (real time) Cime Exit Status: 0