- : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] ack(0,y) -> s(y) [2] ack(s(x),0) -> ack(x,s(0)) [3] ack(s(x),s(y)) -> ack(x,ack(s(x),y)) [4] f(s(x),y) -> f(x,s(x)) [5] f(x,s(y)) -> f(y,x) [6] f(x,y) -> ack(x,y) [7] ack(s(x),y) -> f(x,x) 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: { ack(s(x),s(y)) >= ack(x,ack(s(x),y)) ; ack(s(x),0) >= ack(x,s(0)) ; ack(s(x),y) >= f(x,x) ; ack(0,y) >= s(y) ; f(s(x),y) >= f(x,s(x)) ; f(x,s(y)) >= f(y,x) ; f(x,y) >= ack(x,y) ; Marked_ack(s(x),s(y)) >= Marked_ack(s(x),y) ; Marked_ack(s(x),s(y)) >= Marked_ack(x,ack(s(x),y)) ; Marked_ack(s(x),0) >= Marked_ack(x,s(0)) ; Marked_ack(s(x),y) >= Marked_f(x,x) ; Marked_f(s(x),y) >= Marked_f(x,s(x)) ; Marked_f(x,s(y)) >= Marked_f(y,x) ; Marked_f(x,y) >= Marked_ack(x,y) ; } + Disjunctions:{ { Marked_ack(s(x),s(y)) > Marked_ack(s(x),y) ; } { Marked_ack(s(x),s(y)) > Marked_ack(x,ack(s(x),y)) ; } { Marked_ack(s(x),0) > Marked_ack(x,s(0)) ; } { Marked_ack(s(x),y) > Marked_f(x,x) ; } { Marked_f(s(x),y) > Marked_f(x,s(x)) ; } { Marked_f(x,s(y)) > Marked_f(y,x) ; } { Marked_f(x,y) > Marked_ack(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 === === 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 : 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 === STOPING TIMER real === === STOPING TIMER virtual === No solution found for these parameters. No solution found for these constraints. APPLY CRITERIA (ID_CRIT) NOT SOLVED No proof found Cime worked for 0.513390 seconds (real time) Cime Exit Status: 0