- : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] app(app(app(fold,f),x),nil) -> x [2] app(app(app(fold,f),x),app(app(cons,y),z)) -> app(app(f,y),app(app(app(fold,f),x),z)) [3] app(app(plus,0),y) -> y [4] app(app(plus,app(s,x)),y) -> app(s,app(app(plus,x),y)) [5] app(app(times,0),y) -> 0 [6] app(app(times,app(s,x)),y) -> app(app(plus,app(app(times,x),y)),y) [7] sum -> app(app(fold,add),0) [8] prod -> app(app(fold,mul),app(s,0)) Sub problem: guided: DP termination of: END GUIDED APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { app(app(app(fold,f),x),app(app(cons,y),z)) >= app(app(f,y), app(app(app(fold,f),x),z)) ; app(app(app(fold,f),x),nil) >= x ; app(app(plus,app(s,x)),y) >= app(s,app(app(plus,x),y)) ; app(app(plus,0),y) >= y ; app(app(times,app(s,x)),y) >= app(app(plus,app(app(times,x),y)),y) ; app(app(times,0),y) >= 0 ; sum >= app(app(fold,add),0) ; prod >= app(app(fold,mul),app(s,0)) ; Marked_app(app(app(fold,f),x),app(app(cons,y),z)) >= Marked_app(app( app( fold, f), x), z) ; Marked_app(app(app(fold,f),x),app(app(cons,y),z)) >= Marked_app(app(f,y), app(app(app(fold,f),x), z)) ; Marked_app(app(app(fold,f),x),app(app(cons,y),z)) >= Marked_app(f,y) ; Marked_app(app(plus,app(s,x)),y) >= Marked_app(app(plus,x),y) ; Marked_app(app(times,app(s,x)),y) >= Marked_app(app(plus,app(app(times,x),y)), y) ; Marked_app(app(times,app(s,x)),y) >= Marked_app(app(times,x),y) ; } + Disjunctions:{ { Marked_app(app(app(fold,f),x),app(app(cons,y),z)) > Marked_app(app( app( fold, f), x), z) ; } { Marked_app(app(app(fold,f),x),app(app(cons,y),z)) > Marked_app(app(f,y), app(app(app(fold,f),x), z)) ; } { Marked_app(app(app(fold,f),x),app(app(cons,y),z)) > Marked_app(f,y) ; } { Marked_app(app(plus,app(s,x)),y) > Marked_app(app(plus,x),y) ; } { Marked_app(app(times,app(s,x)),y) > Marked_app(app(plus,app(app(times,x),y)), y) ; } { Marked_app(app(times,app(s,x)),y) > Marked_app(app(times,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 : 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 (ID_CRIT) NOT SOLVED No proof found Cime worked for 9.276834 seconds (real time) Cime Exit Status: 0