- : unit = () - : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] nats -> cons(0,n__incr(n__nats)) [2] pairs -> cons(0,n__incr(n__odds)) [3] odds -> incr(pairs) [4] incr(cons(X,XS)) -> cons(s(X),n__incr(activate(XS))) [5] head(cons(X,XS)) -> X [6] tail(cons(X,XS)) -> activate(XS) [7] incr(X) -> n__incr(X) [8] nats -> n__nats [9] odds -> n__odds [10] activate(n__incr(X)) -> incr(activate(X)) [11] activate(n__nats) -> nats [12] activate(n__odds) -> odds [13] activate(X) -> X Sub problem: guided: DP termination of: END GUIDED APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { nats >= cons(0,n__incr(n__nats)) ; nats >= n__nats ; pairs >= cons(0,n__incr(n__odds)) ; incr(cons(X,XS)) >= cons(s(X),n__incr(activate(XS))) ; incr(X) >= n__incr(X) ; odds >= n__odds ; odds >= incr(pairs) ; activate(n__incr(X)) >= incr(activate(X)) ; activate(n__nats) >= nats ; activate(n__odds) >= odds ; activate(X) >= X ; head(cons(X,XS)) >= X ; tail(cons(X,XS)) >= activate(XS) ; Marked_activate(n__incr(X)) >= Marked_activate(X) ; Marked_activate(n__incr(X)) >= Marked_incr(activate(X)) ; Marked_activate(n__odds) >= Marked_odds ; Marked_odds >= Marked_incr(pairs) ; Marked_incr(cons(X,XS)) >= Marked_activate(XS) ; } + Disjunctions:{ { Marked_activate(n__incr(X)) > Marked_activate(X) ; } { Marked_activate(n__incr(X)) > Marked_incr(activate(X)) ; } { Marked_activate(n__odds) > Marked_odds ; } { Marked_odds > Marked_incr(pairs) ; } { Marked_incr(cons(X,XS)) > Marked_activate(XS) ; } } === 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 : 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: { nats >= cons(0,n__incr(n__nats)) ; nats >= n__nats ; pairs >= cons(0,n__incr(n__odds)) ; incr(cons(X,XS)) >= cons(s(X),n__incr(activate(XS))) ; incr(X) >= n__incr(X) ; odds >= n__odds ; odds >= incr(pairs) ; activate(n__incr(X)) >= incr(activate(X)) ; activate(n__nats) >= nats ; activate(n__odds) >= odds ; activate(X) >= X ; head(cons(X,XS)) >= X ; tail(cons(X,XS)) >= activate(XS) ; Marked_activate(n__incr(X)) > Marked_activate(X) ; Marked_activate(n__incr(X)) > Marked_incr(activate(X)) ; Marked_activate(n__odds) >= Marked_odds ; Marked_odds >= Marked_incr(pairs) ; Marked_incr(cons(X,XS)) > Marked_activate(XS) ; } APPLY CRITERIA (SOLVE_ORD) Trying to solve the following constraints: { nats >= cons(0,n__incr(n__nats)) ; nats >= n__nats ; pairs >= cons(0,n__incr(n__odds)) ; incr(cons(X,XS)) >= cons(s(X),n__incr(activate(XS))) ; incr(X) >= n__incr(X) ; odds >= n__odds ; odds >= incr(pairs) ; activate(n__incr(X)) >= incr(activate(X)) ; activate(n__nats) >= nats ; activate(n__odds) >= odds ; activate(X) >= X ; head(cons(X,XS)) >= X ; tail(cons(X,XS)) >= activate(XS) ; Marked_activate(n__incr(X)) > Marked_activate(X) ; Marked_activate(n__incr(X)) > Marked_incr(activate(X)) ; Marked_activate(n__odds) >= Marked_odds ; Marked_odds >= Marked_incr(pairs) ; Marked_incr(cons(X,XS)) > Marked_activate(XS) ; } + 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.(691 bt (972) [111]) === 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 1.977991 seconds (real time) Cime Exit Status: 0