- : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] c(c(c(y))) -> c(c(a(y,0))) [2] c(a(a(0,x),y)) -> a(c(c(c(0))),y) [3] c(y) -> y Sub problem: guided: DP termination of: END GUIDED APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { c(c(c(y))) >= c(c(a(y,0))) ; c(a(a(0,x),y)) >= a(c(c(c(0))),y) ; c(y) >= y ; Marked_c(c(c(y))) >= Marked_c(c(a(y,0))) ; Marked_c(c(c(y))) >= Marked_c(a(y,0)) ; Marked_c(a(a(0,x),y)) >= Marked_c(c(c(0))) ; Marked_c(a(a(0,x),y)) >= Marked_c(c(0)) ; } + Disjunctions:{ { Marked_c(c(c(y))) > Marked_c(c(a(y,0))) ; } { Marked_c(c(c(y))) > Marked_c(a(y,0)) ; } { Marked_c(a(a(0,x),y)) > Marked_c(c(c(0))) ; } { Marked_c(a(a(0,x),y)) > Marked_c(c(0)) ; } } === 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 === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 15.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 15.000000 === === STOPING TIMER real === Sat solver returned === STOPING TIMER real === === STOPING TIMER virtual === No solution found for these parameters. === TIMER virtual : 50.000000 === trying sub matrices of size: 1 Matrix interpretation constraints generated. Search parameters: LINEAR MATRIX 3x3 (strict=1x1) ; time limit: 50.. Termination constraints generated. Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 50.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: c(c(c(y))) >= c(c(a(y,0))) constraint: c(a(a(0,x),y)) >= a(c(c(c(0))),y) constraint: c(y) >= y constraint: Marked_c(c(c(y))) >= Marked_c(c(a(y,0))) constraint: Marked_c(c(c(y))) >= Marked_c(a(y,0)) constraint: Marked_c(a(a(0,x),y)) >= Marked_c(c(c(0))) constraint: Marked_c(a(a(0,x),y)) >= Marked_c(c(0)) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { c(c(c(y))) >= c(c(a(y,0))) ; c(a(a(0,x),y)) >= a(c(c(c(0))),y) ; c(y) >= y ; Marked_c(c(c(y))) >= Marked_c(c(a(y,0))) ; Marked_c(c(c(y))) >= Marked_c(a(y,0)) ; Marked_c(a(a(0,x),y)) >= Marked_c(c(c(0))) ; } + Disjunctions:{ { Marked_c(c(c(y))) > Marked_c(c(a(y,0))) ; } { Marked_c(c(c(y))) > Marked_c(a(y,0)) ; } { Marked_c(a(a(0,x),y)) > Marked_c(c(c(0))) ; } } === 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 === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 25.000000 === Search parameters: AFS type: 2 ; time limit: 25.. === STOPING TIMER virtual === === TIMER virtual : 15.000000 === Entering poly_solver Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 15.000000 === === STOPING TIMER real === Sat solver returned === STOPING TIMER real === === STOPING TIMER virtual === No solution found for these parameters. === TIMER virtual : 50.000000 === trying sub matrices of size: 1 Matrix interpretation constraints generated. Search parameters: LINEAR MATRIX 3x3 (strict=1x1) ; time limit: 50.. Termination constraints generated. Starting Sat solver initialization Calling Sat solver... === STOPING TIMER virtual === === TIMER real : 50.000000 === === STOPING TIMER real === Sat solver returned Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: c(c(c(y))) >= c(c(a(y,0))) constraint: c(a(a(0,x),y)) >= a(c(c(c(0))),y) constraint: c(y) >= y constraint: Marked_c(c(c(y))) >= Marked_c(c(a(y,0))) constraint: Marked_c(c(c(y))) >= Marked_c(a(y,0)) constraint: Marked_c(a(a(0,x),y)) >= Marked_c(c(c(0))) APPLY CRITERIA (Graph splitting) Found 1 components: { --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { c(c(c(y))) >= c(c(a(y,0))) ; c(a(a(0,x),y)) >= a(c(c(c(0))),y) ; c(y) >= y ; Marked_c(c(c(y))) >= Marked_c(c(a(y,0))) ; } + Disjunctions:{ { Marked_c(c(c(y))) > Marked_c(c(a(y,0))) ; } } === 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 Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: c(c(c(y))) >= c(c(a(y,0))) constraint: c(a(a(0,x),y)) >= a(c(c(c(0))),y) constraint: c(y) >= y constraint: Marked_c(c(c(y))) >= Marked_c(c(a(y,0))) APPLY CRITERIA (Graph splitting) Found 0 components: SOLVED { TRS termination of: [1] c(c(c(y))) -> c(c(a(y,0))) [2] c(a(a(0,x),y)) -> a(c(c(c(0))),y) [3] c(y) -> y , CRITERION: MDP [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using Matrix polynomial interpretation (strict sub matrices size: 1x1) = [ c ] (X0) = [ [ 1 , 0 , 0 ] [ 0 , 1 , 0 ] [ 0 , 1 , 1 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 1 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ 0 ] () = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ a ] (X0,X1) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X1 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 1 , 0 , 0 ] ]; [ Marked_c ] (X0) = [ [ 0 , 0 , 1 ] [ 1 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using Matrix polynomial interpretation (strict sub matrices size: 1x1) = [ c ] (X0) = [ [ 1 , 1 , 0 ] [ 0 , 1 , 0 ] [ 1 , 0 , 1 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 1 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ 0 ] () = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; [ a ] (X0,X1) = [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]*X1 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 1 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 1 , 0 , 0 ] ]; [ Marked_c ] (X0) = [ [ 1 , 0 , 1 ] [ 0 , 0 , 0 ] [ 0 , 1 , 1 ] ]*X0 + [ [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] [ 0 , 0 , 0 ] ]; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: ORD [ Solution found: polynomial interpretation = [ c ] (X0) = 3 + 1*X0 + 0; [ 0 ] () = 0; [ a ] (X0,X1) = 0; [ Marked_c ] (X0) = 2*X0 + 0; ]} ]} ]} ]} ]} ]} ]} Cime worked for 4.756777 seconds (real time) Cime Exit Status: 0