- : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] active(nats) -> mark(adx(zeros)) [2] active(zeros) -> mark(cons(0,zeros)) [3] active(incr(cons(X,Y))) -> mark(cons(s(X),incr(Y))) [4] active(adx(cons(X,Y))) -> mark(incr(cons(X,adx(Y)))) [5] active(hd(cons(X,Y))) -> mark(X) [6] active(tl(cons(X,Y))) -> mark(Y) [7] active(adx(X)) -> adx(active(X)) [8] active(incr(X)) -> incr(active(X)) [9] active(hd(X)) -> hd(active(X)) [10] active(tl(X)) -> tl(active(X)) [11] adx(mark(X)) -> mark(adx(X)) [12] incr(mark(X)) -> mark(incr(X)) [13] hd(mark(X)) -> mark(hd(X)) [14] tl(mark(X)) -> mark(tl(X)) [15] proper(nats) -> ok(nats) [16] proper(adx(X)) -> adx(proper(X)) [17] proper(zeros) -> ok(zeros) [18] proper(cons(X1,X2)) -> cons(proper(X1),proper(X2)) [19] proper(0) -> ok(0) [20] proper(incr(X)) -> incr(proper(X)) [21] proper(s(X)) -> s(proper(X)) [22] proper(hd(X)) -> hd(proper(X)) [23] proper(tl(X)) -> tl(proper(X)) [24] adx(ok(X)) -> ok(adx(X)) [25] cons(ok(X1),ok(X2)) -> ok(cons(X1,X2)) [26] incr(ok(X)) -> ok(incr(X)) [27] s(ok(X)) -> ok(s(X)) [28] hd(ok(X)) -> ok(hd(X)) [29] tl(ok(X)) -> ok(tl(X)) [30] top(mark(X)) -> top(proper(X)) [31] top(ok(X)) -> top(active(X)) Sub problem: guided: DP termination of: END GUIDED APPLY CRITERIA (Graph splitting) Found 9 components: { --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> } { --> } { --> --> --> --> } { --> --> --> --> } { --> --> --> --> } { --> --> --> --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { adx(mark(X)) >= mark(adx(X)) ; adx(ok(X)) >= ok(adx(X)) ; active(adx(cons(X,Y))) >= mark(incr(cons(X,adx(Y)))) ; active(adx(X)) >= adx(active(X)) ; active(zeros) >= mark(cons(0,zeros)) ; active(nats) >= mark(adx(zeros)) ; active(incr(cons(X,Y))) >= mark(cons(s(X),incr(Y))) ; active(incr(X)) >= incr(active(X)) ; active(hd(cons(X,Y))) >= mark(X) ; active(hd(X)) >= hd(active(X)) ; active(tl(cons(X,Y))) >= mark(Y) ; active(tl(X)) >= tl(active(X)) ; cons(ok(X1),ok(X2)) >= ok(cons(X1,X2)) ; s(ok(X)) >= ok(s(X)) ; incr(mark(X)) >= mark(incr(X)) ; incr(ok(X)) >= ok(incr(X)) ; hd(mark(X)) >= mark(hd(X)) ; hd(ok(X)) >= ok(hd(X)) ; tl(mark(X)) >= mark(tl(X)) ; tl(ok(X)) >= ok(tl(X)) ; proper(adx(X)) >= adx(proper(X)) ; proper(zeros) >= ok(zeros) ; proper(nats) >= ok(nats) ; proper(cons(X1,X2)) >= cons(proper(X1),proper(X2)) ; proper(0) >= ok(0) ; proper(s(X)) >= s(proper(X)) ; proper(incr(X)) >= incr(proper(X)) ; proper(hd(X)) >= hd(proper(X)) ; proper(tl(X)) >= tl(proper(X)) ; top(mark(X)) >= top(proper(X)) ; top(ok(X)) >= top(active(X)) ; Marked_top(mark(X)) >= Marked_top(proper(X)) ; Marked_top(ok(X)) >= Marked_top(active(X)) ; } + Disjunctions:{ { Marked_top(mark(X)) > Marked_top(proper(X)) ; } { Marked_top(ok(X)) > Marked_top(active(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 === === 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 timeout reached === 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 52.715397 seconds (real time) Cime Exit Status: 0