- : unit = () - : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] ge(x,0) -> true [2] ge(0,s(y)) -> false [3] ge(s(x),s(y)) -> ge(x,y) [4] minus(x,0) -> x [5] minus(0,y) -> 0 [6] minus(s(x),s(y)) -> minus(x,y) [7] id_inc(x) -> x [8] id_inc(x) -> s(x) [9] div(x,y) -> if(ge(y,s(0)),ge(x,y),x,y) [10] if(false,b,x,y) -> div_by_zero [11] if(true,false,x,y) -> 0 [12] if(true,true,x,y) -> id_inc(div(minus(x,y),y)) 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: { ge(0,s(y)) >= false ; ge(s(x),s(y)) >= ge(x,y) ; ge(x,0) >= true ; minus(0,y) >= 0 ; minus(s(x),s(y)) >= minus(x,y) ; minus(x,0) >= x ; id_inc(x) >= s(x) ; id_inc(x) >= x ; if(true,true,x,y) >= id_inc(div(minus(x,y),y)) ; if(true,false,x,y) >= 0 ; if(false,b,x,y) >= div_by_zero ; div(x,y) >= if(ge(y,s(0)),ge(x,y),x,y) ; Marked_if(true,true,x,y) >= Marked_div(minus(x,y),y) ; Marked_div(x,y) >= Marked_if(ge(y,s(0)),ge(x,y),x,y) ; } + Disjunctions:{ { Marked_if(true,true,x,y) > Marked_div(minus(x,y),y) ; } { Marked_div(x,y) > Marked_if(ge(y,s(0)),ge(x,y),x,y) ; } } === 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: { ge(0,s(y)) >= false ; ge(s(x),s(y)) >= ge(x,y) ; ge(x,0) >= true ; minus(0,y) >= 0 ; minus(s(x),s(y)) >= minus(x,y) ; minus(x,0) >= x ; id_inc(x) >= s(x) ; id_inc(x) >= x ; if(true,true,x,y) >= id_inc(div(minus(x,y),y)) ; if(true,false,x,y) >= 0 ; if(false,b,x,y) >= div_by_zero ; div(x,y) >= if(ge(y,s(0)),ge(x,y),x,y) ; Marked_if(true,true,x,y) >= Marked_div(minus(x,y),y) ; Marked_div(x,y) > Marked_if(ge(y,s(0)),ge(x,y),x,y) ; } APPLY CRITERIA (SOLVE_ORD) Trying to solve the following constraints: { ge(0,s(y)) >= false ; ge(s(x),s(y)) >= ge(x,y) ; ge(x,0) >= true ; minus(0,y) >= 0 ; minus(s(x),s(y)) >= minus(x,y) ; minus(x,0) >= x ; id_inc(x) >= s(x) ; id_inc(x) >= x ; if(true,true,x,y) >= id_inc(div(minus(x,y),y)) ; if(true,false,x,y) >= 0 ; if(false,b,x,y) >= div_by_zero ; div(x,y) >= if(ge(y,s(0)),ge(x,y),x,y) ; Marked_if(true,true,x,y) >= Marked_div(minus(x,y),y) ; Marked_div(x,y) > Marked_if(ge(y,s(0)),ge(x,y),x,y) ; } + 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.(7788 bt (6953) [412]) === 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 4.331127 seconds (real time) Cime Exit Status: 0