- : unit = () - : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] g(x,x) -> g(a,b) [2] g(c,g(c,x)) -> g(e,g(d,x)) [3] g(d,g(d,x)) -> g(c,g(e,x)) [4] g(e,g(e,x)) -> g(d,g(c,x)) [5] f(g(x,y)) -> g(y,g(f(f(x)),a)) 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: { g(e,g(e,x)) >= g(d,g(c,x)) ; g(d,g(d,x)) >= g(c,g(e,x)) ; g(c,g(c,x)) >= g(e,g(d,x)) ; g(x,x) >= g(a,b) ; f(g(x,y)) >= g(y,g(f(f(x)),a)) ; Marked_f(g(x,y)) >= Marked_f(f(x)) ; Marked_f(g(x,y)) >= Marked_f(x) ; } + Disjunctions:{ { Marked_f(g(x,y)) > Marked_f(f(x)) ; } { Marked_f(g(x,y)) > Marked_f(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 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: { g(e,g(e,x)) >= g(d,g(c,x)) ; g(d,g(d,x)) >= g(c,g(e,x)) ; g(c,g(c,x)) >= g(e,g(d,x)) ; g(x,x) >= g(a,b) ; f(g(x,y)) >= g(y,g(f(f(x)),a)) ; Marked_f(g(x,y)) > Marked_f(f(x)) ; Marked_f(g(x,y)) > Marked_f(x) ; } APPLY CRITERIA (SOLVE_ORD) Trying to solve the following constraints: { g(e,g(e,x)) >= g(d,g(c,x)) ; g(d,g(d,x)) >= g(c,g(e,x)) ; g(c,g(c,x)) >= g(e,g(d,x)) ; g(x,x) >= g(a,b) ; f(g(x,y)) >= g(y,g(f(f(x)),a)) ; Marked_f(g(x,y)) > Marked_f(f(x)) ; Marked_f(g(x,y)) > Marked_f(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.(16 bt (12) [9]) === 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 12.019704 seconds (real time) Cime Exit Status: 0