- : unit = () - : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] table -> gen(s(0)) [2] gen(x) -> if1(le(x,10),x) [3] if1(false,x) -> nil [4] if1(true,x) -> if2(x,x) [5] if2(x,y) -> if3(le(y,10),x,y) [6] if3(true,x,y) -> cons(entry(x,y,times(x,y)),if2(x,s(y))) [7] if3(false,x,y) -> gen(s(x)) [8] le(0,y) -> true [9] le(s(x),0) -> false [10] le(s(x),s(y)) -> le(x,y) [11] plus(0,y) -> y [12] plus(s(x),y) -> s(plus(x,y)) [13] times(0,y) -> 0 [14] times(s(x),y) -> plus(y,times(x,y)) [15] 10 -> s(s(s(s(s(s(s(s(s(s(0)))))))))) Sub problem: guided: DP termination of: END GUIDED APPLY CRITERIA (Graph splitting) Found 4 components: { --> --> --> --> --> --> } { --> } { --> } { --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { gen(x) >= if1(le(x,10),x) ; table >= gen(s(0)) ; if1(false,x) >= nil ; if1(true,x) >= if2(x,x) ; le(s(x),s(y)) >= le(x,y) ; le(s(x),0) >= false ; le(0,y) >= true ; 10 >= s(s(s(s(s(s(s(s(s(s(0)))))))))) ; if2(x,y) >= if3(le(y,10),x,y) ; if3(false,x,y) >= gen(s(x)) ; if3(true,x,y) >= cons(entry(x,y,times(x,y)),if2(x,s(y))) ; times(s(x),y) >= plus(y,times(x,y)) ; times(0,y) >= 0 ; plus(s(x),y) >= s(plus(x,y)) ; plus(0,y) >= y ; Marked_if3(false,x,y) >= Marked_gen(s(x)) ; Marked_if3(true,x,y) >= Marked_if2(x,s(y)) ; Marked_gen(x) >= Marked_if1(le(x,10),x) ; Marked_if2(x,y) >= Marked_if3(le(y,10),x,y) ; Marked_if1(true,x) >= Marked_if2(x,x) ; } + Disjunctions:{ { Marked_if3(false,x,y) > Marked_gen(s(x)) ; } { Marked_if3(true,x,y) > Marked_if2(x,s(y)) ; } { Marked_gen(x) > Marked_if1(le(x,10),x) ; } { Marked_if2(x,y) > Marked_if3(le(y,10),x,y) ; } { Marked_if1(true,x) > Marked_if2(x,x) ; } } === 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 === Time out for these parameters. === 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 === STOPING TIMER virtual === No solution found for these parameters. No solution found for these constraints. APPLY CRITERIA (Simple graph) Found the following constraints: { gen(x) >= if1(le(x,10),x) ; table >= gen(s(0)) ; if1(false,x) >= nil ; if1(true,x) >= if2(x,x) ; le(s(x),s(y)) >= le(x,y) ; le(s(x),0) >= false ; le(0,y) >= true ; 10 >= s(s(s(s(s(s(s(s(s(s(0)))))))))) ; if2(x,y) >= if3(le(y,10),x,y) ; if3(false,x,y) >= gen(s(x)) ; if3(true,x,y) >= cons(entry(x,y,times(x,y)),if2(x,s(y))) ; times(s(x),y) >= plus(y,times(x,y)) ; times(0,y) >= 0 ; plus(s(x),y) >= s(plus(x,y)) ; plus(0,y) >= y ; Marked_if3(false,x,y) >= Marked_gen(s(x)) ; Marked_if3(true,x,y) > Marked_if2(x,s(y)) ; Marked_gen(x) >= Marked_if1(le(x,10),x) ; Marked_if2(x,y) > Marked_if3(le(y,10),x,y) ; Marked_if1(true,x) >= Marked_if2(x,x) ; } APPLY CRITERIA (SOLVE_ORD) Trying to solve the following constraints: { gen(x) >= if1(le(x,10),x) ; table >= gen(s(0)) ; if1(false,x) >= nil ; if1(true,x) >= if2(x,x) ; le(s(x),s(y)) >= le(x,y) ; le(s(x),0) >= false ; le(0,y) >= true ; 10 >= s(s(s(s(s(s(s(s(s(s(0)))))))))) ; if2(x,y) >= if3(le(y,10),x,y) ; if3(false,x,y) >= gen(s(x)) ; if3(true,x,y) >= cons(entry(x,y,times(x,y)),if2(x,s(y))) ; times(s(x),y) >= plus(y,times(x,y)) ; times(0,y) >= 0 ; plus(s(x),y) >= s(plus(x,y)) ; plus(0,y) >= y ; Marked_if3(false,x,y) >= Marked_gen(s(x)) ; Marked_if3(true,x,y) > Marked_if2(x,s(y)) ; Marked_gen(x) >= Marked_if1(le(x,10),x) ; Marked_if2(x,y) > Marked_if3(le(y,10),x,y) ; Marked_if1(true,x) >= Marked_if2(x,x) ; } + Disjunctions:{ } === 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 === Time out for these parameters. === 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 === 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 162.906586 seconds (real time) Cime Exit Status: 0