- : 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 (Choosing graph) Trying to solve the following constraints: { +(minus(x),x) >= 0 ; +(x,0) >= x ; minus(+(x,y)) >= +(minus(y),minus(x)) ; minus(0) >= 0 ; minus(minus(x)) >= x ; *(x,+(y,z)) >= +( *(x,y), *(x,z)) ; *(x,0) >= 0 ; *(x,minus(y)) >= minus( *(x,y)) ; *(x,1) >= x ; Marked_*(x,+(y,z)) >= Marked_*(x,y) ; Marked_*(x,+(y,z)) >= Marked_*(x,z) ; Marked_*(x,minus(y)) >= Marked_*(x,y) ; } + Disjunctions:{ { Marked_*(x,+(y,z)) > Marked_*(x,y) ; } { Marked_*(x,+(y,z)) > Marked_*(x,z) ; } { Marked_*(x,minus(y)) > Marked_*(x,y) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned === STOPING TIMER real === === STOPING TIMER virtual === No solution found for these parameters. Entering rpo_solver === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === STOPING TIMER virtual === constraint: +(minus(x),x) >= 0 constraint: +(x,0) >= x constraint: minus(+(x,y)) >= +(minus(y),minus(x)) constraint: minus(0) >= 0 constraint: minus(minus(x)) >= x constraint: *(x,+(y,z)) >= +( *(x,y), *(x,z)) constraint: *(x,0) >= 0 constraint: *(x,minus(y)) >= minus( *(x,y)) constraint: *(x,1) >= x constraint: Marked_*(x,+(y,z)) >= Marked_*(x,y) constraint: Marked_*(x,+(y,z)) >= Marked_*(x,z) constraint: Marked_*(x,minus(y)) >= Marked_*(x,y) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { +(minus(x),x) >= 0 ; +(x,0) >= x ; minus(+(x,y)) >= +(minus(y),minus(x)) ; minus(0) >= 0 ; minus(minus(x)) >= x ; *(x,+(y,z)) >= +( *(x,y), *(x,z)) ; *(x,0) >= 0 ; *(x,minus(y)) >= minus( *(x,y)) ; *(x,1) >= x ; Marked_minus(+(x,y)) >= Marked_minus(x) ; Marked_minus(+(x,y)) >= Marked_minus(y) ; } + Disjunctions:{ { Marked_minus(+(x,y)) > Marked_minus(x) ; } { Marked_minus(+(x,y)) > Marked_minus(y) ; } } === TIMER virtual : 10.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 10.000000 === === STOPING TIMER real === Sat solver returned === STOPING TIMER real === === STOPING TIMER virtual === No solution found for these parameters. Entering rpo_solver === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === STOPING TIMER virtual === constraint: +(minus(x),x) >= 0 constraint: +(x,0) >= x constraint: minus(+(x,y)) >= +(minus(y),minus(x)) constraint: minus(0) >= 0 constraint: minus(minus(x)) >= x constraint: *(x,+(y,z)) >= +( *(x,y), *(x,z)) constraint: *(x,0) >= 0 constraint: *(x,minus(y)) >= minus( *(x,y)) constraint: *(x,1) >= x constraint: Marked_minus(+(x,y)) >= Marked_minus(x) constraint: Marked_minus(+(x,y)) >= Marked_minus(y) 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: ORD [ Solution found: RPO with AFS = AFS: and precedence: prec (All symbols are Lex.): { + > 0 ; + < minus ; + < * ; 0 < + ; 0 < minus ; 0 < * ; minus > + ; minus > 0 ; minus < * ; * > + ; * > 0 ; * > minus ; } ]} { DP termination of: , CRITERION: ORD [ Solution found: RPO with AFS = AFS: and precedence: prec (All symbols are Lex.): { + > 0 ; + < minus ; + < * ; 0 < + ; 0 < minus ; 0 < * ; minus > + ; minus > 0 ; minus < * ; * > + ; * > 0 ; * > minus ; } ]} ]} ]} Cime worked for 0.050841 seconds (real time) Cime Exit Status: 0