- : unit = () - : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] +(0,y) -> y [2] +(s(x),y) -> s(+(x,y)) [3] +(p(x),y) -> p(+(x,y)) [4] minus(0) -> 0 [5] minus(s(x)) -> p(minus(x)) [6] minus(p(x)) -> s(minus(x)) [7] *(0,y) -> 0 [8] *(s(x),y) -> +( *(x,y),y) [9] *(p(x),y) -> +( *(x,y),minus(y)) Sub problem: guided: DP termination of: END GUIDED APPLY CRITERIA (Graph splitting) Found 3 components: { --> --> --> --> } { --> --> --> --> } { --> --> --> --> } APPLY CRITERIA (Subterm criterion) ST: Marked_* -> 1 APPLY CRITERIA (Subterm criterion) ST: Marked_+ -> 1 APPLY CRITERIA (Subterm criterion) ST: Marked_minus -> 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] +(0,y) -> y [2] +(s(x),y) -> s(+(x,y)) [3] +(p(x),y) -> p(+(x,y)) [4] minus(0) -> 0 [5] minus(s(x)) -> p(minus(x)) [6] minus(p(x)) -> s(minus(x)) [7] *(0,y) -> 0 [8] *(s(x),y) -> +( *(x,y),y) [9] *(p(x),y) -> +( *(x,y),minus(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 [ ]} ]} { DP termination of: , CRITERION: ST [ { DP termination of: , CRITERION: SG [ ]} ]} ]} ]} Cime worked for 0.010127 seconds (real time) Cime Exit Status: 0