- : unit = () - : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] cond1(true,x) -> cond2(even(x),x) [2] cond2(true,x) -> cond1(neq(x,0),div2(x)) [3] cond2(false,x) -> cond1(neq(x,0),p(x)) [4] neq(0,0) -> false [5] neq(0,s(x)) -> true [6] neq(s(x),0) -> true [7] neq(s(x),s(y)) -> neq(x,y) [8] even(0) -> true [9] even(s(0)) -> false [10] even(s(s(x))) -> even(x) [11] div2(0) -> 0 [12] div2(s(0)) -> 0 [13] div2(s(s(x))) -> s(div2(x)) [14] p(0) -> 0 [15] p(s(x)) -> x 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: { cond2(true,x) >= cond1(neq(x,0),div2(x)) ; cond2(false,x) >= cond1(neq(x,0),p(x)) ; even(0) >= true ; even(s(0)) >= false ; even(s(s(x))) >= even(x) ; cond1(true,x) >= cond2(even(x),x) ; neq(0,0) >= false ; neq(0,s(x)) >= true ; neq(s(x),0) >= true ; neq(s(x),s(y)) >= neq(x,y) ; div2(0) >= 0 ; div2(s(0)) >= 0 ; div2(s(s(x))) >= s(div2(x)) ; p(0) >= 0 ; p(s(x)) >= x ; Marked_cond2(true,x) >= Marked_cond1(neq(x,0),div2(x)) ; Marked_cond2(false,x) >= Marked_cond1(neq(x,0),p(x)) ; Marked_cond1(true,x) >= Marked_cond2(even(x),x) ; } + Disjunctions:{ { Marked_cond2(true,x) > Marked_cond1(neq(x,0),div2(x)) ; } { Marked_cond2(false,x) > Marked_cond1(neq(x,0),p(x)) ; } { Marked_cond1(true,x) > Marked_cond2(even(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 === === 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: { cond2(true,x) >= cond1(neq(x,0),div2(x)) ; cond2(false,x) >= cond1(neq(x,0),p(x)) ; even(0) >= true ; even(s(0)) >= false ; even(s(s(x))) >= even(x) ; cond1(true,x) >= cond2(even(x),x) ; neq(0,0) >= false ; neq(0,s(x)) >= true ; neq(s(x),0) >= true ; neq(s(x),s(y)) >= neq(x,y) ; div2(0) >= 0 ; div2(s(0)) >= 0 ; div2(s(s(x))) >= s(div2(x)) ; p(0) >= 0 ; p(s(x)) >= x ; Marked_cond2(true,x) > Marked_cond1(neq(x,0),div2(x)) ; Marked_cond2(false,x) >= Marked_cond1(neq(x,0),p(x)) ; Marked_cond1(true,x) > Marked_cond2(even(x),x) ; } APPLY CRITERIA (SOLVE_ORD) Trying to solve the following constraints: { cond2(true,x) >= cond1(neq(x,0),div2(x)) ; cond2(false,x) >= cond1(neq(x,0),p(x)) ; even(0) >= true ; even(s(0)) >= false ; even(s(s(x))) >= even(x) ; cond1(true,x) >= cond2(even(x),x) ; neq(0,0) >= false ; neq(0,s(x)) >= true ; neq(s(x),0) >= true ; neq(s(x),s(y)) >= neq(x,y) ; div2(0) >= 0 ; div2(s(0)) >= 0 ; div2(s(s(x))) >= s(div2(x)) ; p(0) >= 0 ; p(s(x)) >= x ; Marked_cond2(true,x) > Marked_cond1(neq(x,0),div2(x)) ; Marked_cond2(false,x) >= Marked_cond1(neq(x,0),p(x)) ; Marked_cond1(true,x) > Marked_cond2(even(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 === No solution found for these parameters.(14186 bt (10087) [1778]) === 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 6.424138 seconds (real time) Cime Exit Status: 0