- : unit = () - : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] h(X,Z) -> f(X,s(X),Z) [2] f(X,Y,g(X,Y)) -> h(0,g(X,Y)) [3] g(0,Y) -> 0 [4] g(X,s(Y)) -> g(X,Y) Sub problem: guided: DP termination of: END GUIDED APPLY CRITERIA (Graph splitting) Found 2 components: { --> --> } { --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { f(X,Y,g(X,Y)) >= h(0,g(X,Y)) ; h(X,Z) >= f(X,s(X),Z) ; g(0,Y) >= 0 ; g(X,s(Y)) >= g(X,Y) ; Marked_f(X,Y,g(X,Y)) >= Marked_h(0,g(X,Y)) ; Marked_h(X,Z) >= Marked_f(X,s(X),Z) ; } + Disjunctions:{ { Marked_f(X,Y,g(X,Y)) > Marked_h(0,g(X,Y)) ; } { Marked_h(X,Z) > Marked_f(X,s(X),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 : 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: { f(X,Y,g(X,Y)) >= h(0,g(X,Y)) ; h(X,Z) >= f(X,s(X),Z) ; g(0,Y) >= 0 ; g(X,s(Y)) >= g(X,Y) ; Marked_f(X,Y,g(X,Y)) >= Marked_h(0,g(X,Y)) ; Marked_h(X,Z) > Marked_f(X,s(X),Z) ; } APPLY CRITERIA (SOLVE_ORD) Trying to solve the following constraints: { f(X,Y,g(X,Y)) >= h(0,g(X,Y)) ; h(X,Z) >= f(X,s(X),Z) ; g(0,Y) >= 0 ; g(X,s(Y)) >= g(X,Y) ; Marked_f(X,Y,g(X,Y)) >= Marked_h(0,g(X,Y)) ; Marked_h(X,Z) > Marked_f(X,s(X),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.(1965 bt (1589) [276]) === 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 0.557620 seconds (real time) Cime Exit Status: 0