- : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] a(h,h,h,x) -> s(x) [2] a(l,x,s(y),h) -> a(l,x,y,s(h)) [3] a(l,x,s(y),s(z)) -> a(l,x,y,a(l,x,s(y),z)) [4] a(l,s(x),h,z) -> a(l,x,z,z) [5] a(s(l),h,h,z) -> a(l,z,h,z) [6] +(x,h) -> x [7] +(h,x) -> x [8] +(s(x),s(y)) -> s(s(+(x,y))) [9] +(+(x,y),z) -> +(x,+(y,z)) [10] s(h) -> 1 [11] *(h,x) -> h [12] *(x,h) -> h [13] *(s(x),s(y)) -> s(+(+( *(x,y),x),y)) Sub problem: guided: DP termination of: END GUIDED APPLY CRITERIA (Graph splitting) Found 3 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> } { --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { s(h) >= 1 ; a(s(l),h,h,z) >= a(l,z,h,z) ; a(h,h,h,x) >= s(x) ; a(l,s(x),h,z) >= a(l,x,z,z) ; a(l,x,s(y),s(z)) >= a(l,x,y,a(l,x,s(y),z)) ; a(l,x,s(y),h) >= a(l,x,y,s(h)) ; +(s(x),s(y)) >= s(s(+(x,y))) ; +(h,x) >= x ; +(+(x,y),z) >= +(x,+(y,z)) ; +(x,h) >= x ; *(s(x),s(y)) >= s(+(+( *(x,y),x),y)) ; *(h,x) >= h ; *(x,h) >= h ; Marked_a(s(l),h,h,z) >= Marked_a(l,z,h,z) ; Marked_a(l,s(x),h,z) >= Marked_a(l,x,z,z) ; Marked_a(l,x,s(y),s(z)) >= Marked_a(l,x,s(y),z) ; Marked_a(l,x,s(y),s(z)) >= Marked_a(l,x,y,a(l,x,s(y),z)) ; Marked_a(l,x,s(y),h) >= Marked_a(l,x,y,s(h)) ; } + Disjunctions:{ { Marked_a(s(l),h,h,z) > Marked_a(l,z,h,z) ; } { Marked_a(l,s(x),h,z) > Marked_a(l,x,z,z) ; } { Marked_a(l,x,s(y),s(z)) > Marked_a(l,x,s(y),z) ; } { Marked_a(l,x,s(y),s(z)) > Marked_a(l,x,y,a(l,x,s(y),z)) ; } { Marked_a(l,x,s(y),h) > Marked_a(l,x,y,s(h)) ; } } === 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: s(h) >= 1 constraint: a(s(l),h,h,z) >= a(l,z,h,z) constraint: a(h,h,h,x) >= s(x) constraint: a(l,s(x),h,z) >= a(l,x,z,z) constraint: a(l,x,s(y),s(z)) >= a(l,x,y,a(l,x,s(y),z)) constraint: a(l,x,s(y),h) >= a(l,x,y,s(h)) constraint: +(s(x),s(y)) >= s(s(+(x,y))) constraint: +(h,x) >= x constraint: +(+(x,y),z) >= +(x,+(y,z)) constraint: +(x,h) >= x constraint: *(s(x),s(y)) >= s(+(+( *(x,y),x),y)) constraint: *(h,x) >= h constraint: *(x,h) >= h constraint: Marked_a(s(l),h,h,z) >= Marked_a(l,z,h,z) constraint: Marked_a(l,s(x),h,z) >= Marked_a(l,x,z,z) constraint: Marked_a(l,x,s(y),s(z)) >= Marked_a(l,x,s(y),z) constraint: Marked_a(l,x,s(y),s(z)) >= Marked_a(l,x,y,a(l,x,s(y),z)) constraint: Marked_a(l,x,s(y),h) >= Marked_a(l,x,y,s(h)) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { s(h) >= 1 ; a(s(l),h,h,z) >= a(l,z,h,z) ; a(h,h,h,x) >= s(x) ; a(l,s(x),h,z) >= a(l,x,z,z) ; a(l,x,s(y),s(z)) >= a(l,x,y,a(l,x,s(y),z)) ; a(l,x,s(y),h) >= a(l,x,y,s(h)) ; +(s(x),s(y)) >= s(s(+(x,y))) ; +(h,x) >= x ; +(+(x,y),z) >= +(x,+(y,z)) ; +(x,h) >= x ; *(s(x),s(y)) >= s(+(+( *(x,y),x),y)) ; *(h,x) >= h ; *(x,h) >= h ; Marked_*(s(x),s(y)) >= Marked_*(x,y) ; } + Disjunctions:{ { Marked_*(s(x),s(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: s(h) >= 1 constraint: a(s(l),h,h,z) >= a(l,z,h,z) constraint: a(h,h,h,x) >= s(x) constraint: a(l,s(x),h,z) >= a(l,x,z,z) constraint: a(l,x,s(y),s(z)) >= a(l,x,y,a(l,x,s(y),z)) constraint: a(l,x,s(y),h) >= a(l,x,y,s(h)) constraint: +(s(x),s(y)) >= s(s(+(x,y))) constraint: +(h,x) >= x constraint: +(+(x,y),z) >= +(x,+(y,z)) constraint: +(x,h) >= x constraint: *(s(x),s(y)) >= s(+(+( *(x,y),x),y)) constraint: *(h,x) >= h constraint: *(x,h) >= h constraint: Marked_*(s(x),s(y)) >= Marked_*(x,y) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { s(h) >= 1 ; a(s(l),h,h,z) >= a(l,z,h,z) ; a(h,h,h,x) >= s(x) ; a(l,s(x),h,z) >= a(l,x,z,z) ; a(l,x,s(y),s(z)) >= a(l,x,y,a(l,x,s(y),z)) ; a(l,x,s(y),h) >= a(l,x,y,s(h)) ; +(s(x),s(y)) >= s(s(+(x,y))) ; +(h,x) >= x ; +(+(x,y),z) >= +(x,+(y,z)) ; +(x,h) >= x ; *(s(x),s(y)) >= s(+(+( *(x,y),x),y)) ; *(h,x) >= h ; *(x,h) >= h ; Marked_+(s(x),s(y)) >= Marked_+(x,y) ; Marked_+(+(x,y),z) >= Marked_+(y,z) ; Marked_+(+(x,y),z) >= Marked_+(x,+(y,z)) ; } + Disjunctions:{ { Marked_+(s(x),s(y)) > Marked_+(x,y) ; } { Marked_+(+(x,y),z) > Marked_+(y,z) ; } { Marked_+(+(x,y),z) > Marked_+(x,+(y,z)) ; } } === 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: s(h) >= 1 constraint: a(s(l),h,h,z) >= a(l,z,h,z) constraint: a(h,h,h,x) >= s(x) constraint: a(l,s(x),h,z) >= a(l,x,z,z) constraint: a(l,x,s(y),s(z)) >= a(l,x,y,a(l,x,s(y),z)) constraint: a(l,x,s(y),h) >= a(l,x,y,s(h)) constraint: +(s(x),s(y)) >= s(s(+(x,y))) constraint: +(h,x) >= x constraint: +(+(x,y),z) >= +(x,+(y,z)) constraint: +(x,h) >= x constraint: *(s(x),s(y)) >= s(+(+( *(x,y),x),y)) constraint: *(h,x) >= h constraint: *(x,h) >= h constraint: Marked_+(s(x),s(y)) >= Marked_+(x,y) constraint: Marked_+(+(x,y),z) >= Marked_+(y,z) constraint: Marked_+(+(x,y),z) >= Marked_+(x,+(y,z)) 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] a(h,h,h,x) -> s(x) [2] a(l,x,s(y),h) -> a(l,x,y,s(h)) [3] a(l,x,s(y),s(z)) -> a(l,x,y,a(l,x,s(y),z)) [4] a(l,s(x),h,z) -> a(l,x,z,z) [5] a(s(l),h,h,z) -> a(l,z,h,z) [6] +(x,h) -> x [7] +(h,x) -> x [8] +(s(x),s(y)) -> s(s(+(x,y))) [9] +(+(x,y),z) -> +(x,+(y,z)) [10] s(h) -> 1 [11] *(h,x) -> h [12] *(x,h) -> h [13] *(s(x),s(y)) -> s(+(+( *(x,y),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.): { s < a ; s < + ; s > 1 ; s < * ; s < Marked_a ; a > s ; a > 1 ; a < Marked_a ; + > s ; + > 1 ; + < * ; 1 < s ; 1 < a ; 1 < + ; 1 < * ; 1 < Marked_a ; * > s ; * > + ; * > 1 ; Marked_a > s ; Marked_a > a ; Marked_a > 1 ; } ]} { DP termination of: , CRITERION: ORD [ Solution found: RPO with AFS = AFS: and precedence: prec (All symbols are Lex.): { s < a ; s < + ; s > 1 ; s < * ; a > s ; a > 1 ; + > s ; + > 1 ; + < * ; 1 < s ; 1 < a ; 1 < + ; 1 < * ; * > s ; * > + ; * > 1 ; } ]} { DP termination of: , CRITERION: ORD [ Solution found: RPO with AFS = AFS: and precedence: prec (All symbols are Lex.): { s < a ; s < + ; s > 1 ; s < * ; s < Marked_+ ; a > s ; a > 1 ; + > s ; + > 1 ; + < * ; + < Marked_+ ; 1 < s ; 1 < a ; 1 < + ; 1 < * ; 1 < Marked_+ ; * > s ; * > + ; * > 1 ; Marked_+ > s ; Marked_+ > + ; Marked_+ > 1 ; } ]} ]} ]} Cime worked for 0.227988 seconds (real time) Cime Exit Status: 0