- : unit = () - : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] from(X) -> cons(X,n__from(n__s(X))) [2] first(0,Z) -> nil [3] first(s(X),cons(Y,Z)) -> cons(Y,n__first(X,activate(Z))) [4] sel(0,cons(X,Z)) -> X [5] sel(s(X),cons(Y,Z)) -> sel(X,activate(Z)) [6] from(X) -> n__from(X) [7] s(X) -> n__s(X) [8] first(X1,X2) -> n__first(X1,X2) [9] activate(n__from(X)) -> from(activate(X)) [10] activate(n__s(X)) -> s(activate(X)) [11] activate(n__first(X1,X2)) -> first(activate(X1),activate(X2)) [12] activate(X) -> X Sub problem: guided: DP termination of: END GUIDED APPLY CRITERIA (Graph splitting) Found 2 components: { --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) ST: Marked_sel -> 1 APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { from(X) >= cons(X,n__from(n__s(X))) ; from(X) >= n__from(X) ; first(0,Z) >= nil ; first(s(X),cons(Y,Z)) >= cons(Y,n__first(X,activate(Z))) ; first(X1,X2) >= n__first(X1,X2) ; activate(n__from(X)) >= from(activate(X)) ; activate(n__s(X)) >= s(activate(X)) ; activate(n__first(X1,X2)) >= first(activate(X1),activate(X2)) ; activate(X) >= X ; s(X) >= n__s(X) ; sel(0,cons(X,Z)) >= X ; sel(s(X),cons(Y,Z)) >= sel(X,activate(Z)) ; Marked_activate(n__from(X)) >= Marked_activate(X) ; Marked_activate(n__s(X)) >= Marked_activate(X) ; Marked_activate(n__first(X1,X2)) >= Marked_activate(X1) ; Marked_activate(n__first(X1,X2)) >= Marked_activate(X2) ; Marked_activate(n__first(X1,X2)) >= Marked_first(activate(X1),activate(X2)) ; Marked_first(s(X),cons(Y,Z)) >= Marked_activate(Z) ; } + Disjunctions:{ { Marked_activate(n__from(X)) > Marked_activate(X) ; } { Marked_activate(n__s(X)) > Marked_activate(X) ; } { Marked_activate(n__first(X1,X2)) > Marked_activate(X1) ; } { Marked_activate(n__first(X1,X2)) > Marked_activate(X2) ; } { Marked_activate(n__first(X1,X2)) > Marked_first(activate(X1),activate(X2)) ; } { Marked_first(s(X),cons(Y,Z)) > Marked_activate(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 : 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 (Simple graph) Found the following constraints: { from(X) >= cons(X,n__from(n__s(X))) ; from(X) >= n__from(X) ; first(0,Z) >= nil ; first(s(X),cons(Y,Z)) >= cons(Y,n__first(X,activate(Z))) ; first(X1,X2) >= n__first(X1,X2) ; activate(n__from(X)) >= from(activate(X)) ; activate(n__s(X)) >= s(activate(X)) ; activate(n__first(X1,X2)) >= first(activate(X1),activate(X2)) ; activate(X) >= X ; s(X) >= n__s(X) ; sel(0,cons(X,Z)) >= X ; sel(s(X),cons(Y,Z)) >= sel(X,activate(Z)) ; Marked_activate(n__from(X)) > Marked_activate(X) ; Marked_activate(n__s(X)) > Marked_activate(X) ; Marked_activate(n__first(X1,X2)) > Marked_activate(X1) ; Marked_activate(n__first(X1,X2)) > Marked_activate(X2) ; Marked_activate(n__first(X1,X2)) >= Marked_first(activate(X1),activate(X2)) ; Marked_first(s(X),cons(Y,Z)) > Marked_activate(Z) ; } APPLY CRITERIA (SOLVE_ORD) Trying to solve the following constraints: { from(X) >= cons(X,n__from(n__s(X))) ; from(X) >= n__from(X) ; first(0,Z) >= nil ; first(s(X),cons(Y,Z)) >= cons(Y,n__first(X,activate(Z))) ; first(X1,X2) >= n__first(X1,X2) ; activate(n__from(X)) >= from(activate(X)) ; activate(n__s(X)) >= s(activate(X)) ; activate(n__first(X1,X2)) >= first(activate(X1),activate(X2)) ; activate(X) >= X ; s(X) >= n__s(X) ; sel(0,cons(X,Z)) >= X ; sel(s(X),cons(Y,Z)) >= sel(X,activate(Z)) ; Marked_activate(n__from(X)) > Marked_activate(X) ; Marked_activate(n__s(X)) > Marked_activate(X) ; Marked_activate(n__first(X1,X2)) > Marked_activate(X1) ; Marked_activate(n__first(X1,X2)) > Marked_activate(X2) ; Marked_activate(n__first(X1,X2)) >= Marked_first(activate(X1),activate(X2)) ; Marked_first(s(X),cons(Y,Z)) > Marked_activate(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.(411 bt (400) [167]) === 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 3.205195 seconds (real time) Cime Exit Status: 0