- : unit = () - : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] div(x,s(y)) -> d(x,s(y),0) [2] d(x,s(y),z) -> cond(ge(x,z),x,y,z) [3] cond(true,x,y,z) -> s(d(x,s(y),plus(s(y),z))) [4] cond(false,x,y,z) -> 0 [5] ge(u,0) -> true [6] ge(0,s(v)) -> false [7] ge(s(u),s(v)) -> ge(u,v) [8] plus(n,0) -> n [9] plus(n,s(m)) -> s(plus(n,m)) Sub problem: guided: DP termination of: END GUIDED APPLY CRITERIA (Graph splitting) Found 3 components: { --> --> } { --> } { --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { d(x,s(y),z) >= cond(ge(x,z),x,y,z) ; div(x,s(y)) >= d(x,s(y),0) ; cond(true,x,y,z) >= s(d(x,s(y),plus(s(y),z))) ; cond(false,x,y,z) >= 0 ; ge(s(u),s(v)) >= ge(u,v) ; ge(0,s(v)) >= false ; ge(u,0) >= true ; plus(n,s(m)) >= s(plus(n,m)) ; plus(n,0) >= n ; Marked_cond(true,x,y,z) >= Marked_d(x,s(y),plus(s(y),z)) ; Marked_d(x,s(y),z) >= Marked_cond(ge(x,z),x,y,z) ; } + Disjunctions:{ { Marked_cond(true,x,y,z) > Marked_d(x,s(y),plus(s(y),z)) ; } { Marked_d(x,s(y),z) > Marked_cond(ge(x,z),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 (Simple graph) Found the following constraints: { d(x,s(y),z) >= cond(ge(x,z),x,y,z) ; div(x,s(y)) >= d(x,s(y),0) ; cond(true,x,y,z) >= s(d(x,s(y),plus(s(y),z))) ; cond(false,x,y,z) >= 0 ; ge(s(u),s(v)) >= ge(u,v) ; ge(0,s(v)) >= false ; ge(u,0) >= true ; plus(n,s(m)) >= s(plus(n,m)) ; plus(n,0) >= n ; Marked_cond(true,x,y,z) >= Marked_d(x,s(y),plus(s(y),z)) ; Marked_d(x,s(y),z) > Marked_cond(ge(x,z),x,y,z) ; } APPLY CRITERIA (SOLVE_ORD) Trying to solve the following constraints: { d(x,s(y),z) >= cond(ge(x,z),x,y,z) ; div(x,s(y)) >= d(x,s(y),0) ; cond(true,x,y,z) >= s(d(x,s(y),plus(s(y),z))) ; cond(false,x,y,z) >= 0 ; ge(s(u),s(v)) >= ge(u,v) ; ge(0,s(v)) >= false ; ge(u,0) >= true ; plus(n,s(m)) >= s(plus(n,m)) ; plus(n,0) >= n ; Marked_cond(true,x,y,z) >= Marked_d(x,s(y),plus(s(y),z)) ; Marked_d(x,s(y),z) > Marked_cond(ge(x,z),x,y,z) ; } + 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 === No solution found for these parameters.(19201 bt (19020) [1734]) === 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 3.531084 seconds (real time) Cime Exit Status: 0