- : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] plus(s(s(x)),y) -> s(plus(x,s(y))) [2] plus(x,s(s(y))) -> s(plus(s(x),y)) [3] plus(s(0),y) -> s(y) [4] plus(0,y) -> y [5] ack(0,y) -> s(y) [6] ack(s(x),0) -> ack(x,s(0)) [7] ack(s(x),s(y)) -> ack(x,plus(y,ack(s(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: { plus(s(s(x)),y) >= s(plus(x,s(y))) ; plus(s(0),y) >= s(y) ; plus(0,y) >= y ; plus(x,s(s(y))) >= s(plus(s(x),y)) ; ack(s(x),s(y)) >= ack(x,plus(y,ack(s(x),y))) ; ack(s(x),0) >= ack(x,s(0)) ; ack(0,y) >= s(y) ; Marked_ack(s(x),s(y)) >= Marked_ack(s(x),y) ; Marked_ack(s(x),s(y)) >= Marked_ack(x,plus(y,ack(s(x),y))) ; Marked_ack(s(x),0) >= Marked_ack(x,s(0)) ; } + Disjunctions:{ { Marked_ack(s(x),s(y)) > Marked_ack(s(x),y) ; } { Marked_ack(s(x),s(y)) > Marked_ack(x,plus(y,ack(s(x),y))) ; } { Marked_ack(s(x),0) > Marked_ack(x,s(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 === 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 1.783099 seconds (real time) Cime Exit Status: 0