- : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] plus(0,x) -> x [2] plus(s(x),y) -> s(plus(x,y)) [3] times(0,y) -> 0 [4] times(s(x),y) -> plus(y,times(x,y)) [5] exp(x,0) -> s(0) [6] exp(x,s(y)) -> times(x,exp(x,y)) [7] ge(x,0) -> true [8] ge(0,s(x)) -> false [9] ge(s(x),s(y)) -> ge(x,y) [10] tower(x,y) -> towerIter(0,x,y,s(0)) [11] towerIter(c,x,y,z) -> help(ge(c,x),c,x,y,z) [12] help(true,c,x,y,z) -> z [13] help(false,c,x,y,z) -> towerIter(s(c),x,y,exp(y,z)) Sub problem: guided: DP termination of: END GUIDED APPLY CRITERIA (Graph splitting) Found 5 components: { --> --> } { --> } { --> } { --> } { --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { plus(0,x) >= x ; plus(s(x),y) >= s(plus(x,y)) ; times(0,y) >= 0 ; times(s(x),y) >= plus(y,times(x,y)) ; exp(x,0) >= s(0) ; exp(x,s(y)) >= times(x,exp(x,y)) ; ge(0,s(x)) >= false ; ge(s(x),s(y)) >= ge(x,y) ; ge(x,0) >= true ; towerIter(c,x,y,z) >= help(ge(c,x),c,x,y,z) ; tower(x,y) >= towerIter(0,x,y,s(0)) ; help(true,c,x,y,z) >= z ; help(false,c,x,y,z) >= towerIter(s(c),x,y,exp(y,z)) ; Marked_help(false,c,x,y,z) >= Marked_towerIter(s(c),x,y,exp(y,z)) ; Marked_towerIter(c,x,y,z) >= Marked_help(ge(c,x),c,x,y,z) ; } + Disjunctions:{ { Marked_help(false,c,x,y,z) > Marked_towerIter(s(c),x,y,exp(y,z)) ; } { Marked_towerIter(c,x,y,z) > Marked_help(ge(c,x),c,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 === === 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 4.151980 seconds (real time) Cime Exit Status: 0