- : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] app(app(le,0),y) -> true [2] app(app(le,app(s,x)),0) -> false [3] app(app(le,app(s,x)),app(s,y)) -> app(app(le,x),y) [4] app(app(eq,0),0) -> true [5] app(app(eq,0),app(s,y)) -> false [6] app(app(eq,app(s,x)),0) -> false [7] app(app(eq,app(s,x)),app(s,y)) -> app(app(eq,x),y) [8] app(app(app(if,true),x),y) -> x [9] app(app(app(if,false),x),y) -> y [10] app(minsort,nil) -> nil [11] app(minsort,app(app(cons,x),y)) -> app(app(cons,app(app(min,x),y)), app(minsort,app(app(del,app(app(min,x),y)),app(app(cons,x),y)))) [12] app(app(min,x),nil) -> x [13] app(app(min,x),app(app(cons,y),z)) -> app(app(app(if,app(app(le,x),y)),app(app(min,x),z)),app(app(min,y),z)) [14] app(app(del,x),nil) -> nil [15] app(app(del,x),app(app(cons,y),z)) -> app(app(app(if,app(app(eq,x),y)),z),app(app(cons,y),app(app(del,x),z))) [16] app(app(map,f),nil) -> nil [17] app(app(map,f),app(app(cons,x),xs)) -> app(app(cons,app(f,x)),app(app(map,f),xs)) [18] app(app(filter,f),nil) -> nil [19] app(app(filter,f),app(app(cons,x),xs)) -> app(app(app(app(filter2,app(f,x)),f),x),xs) [20] app(app(app(app(filter2,true),f),x),xs) -> app(app(cons,x),app(app(filter,f),xs)) [21] app(app(app(app(filter2,false),f),x),xs) -> app(app(filter,f),xs) 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(app(filter2,true),f),x),xs) >= app(app(cons,x), app(app(filter,f),xs)) ; app(app(app(app(filter2,false),f),x),xs) >= app(app(filter,f),xs) ; app(app(app(if,true),x),y) >= x ; app(app(app(if,false),x),y) >= y ; app(app(le,app(s,x)),app(s,y)) >= app(app(le,x),y) ; app(app(le,app(s,x)),0) >= false ; app(app(le,0),y) >= true ; app(app(eq,app(s,x)),app(s,y)) >= app(app(eq,x),y) ; app(app(eq,app(s,x)),0) >= false ; app(app(eq,0),app(s,y)) >= false ; app(app(eq,0),0) >= true ; app(app(min,x),app(app(cons,y),z)) >= app(app(app(if,app(app(le,x),y)), app(app(min,x),z)), app(app(min,y),z)) ; app(app(min,x),nil) >= x ; app(app(del,x),app(app(cons,y),z)) >= app(app(app(if,app(app(eq,x),y)),z), app(app(cons,y),app(app(del,x),z))) ; app(app(del,x),nil) >= nil ; app(app(map,f),app(app(cons,x),xs)) >= app(app(cons,app(f,x)), app(app(map,f),xs)) ; app(app(map,f),nil) >= nil ; app(app(filter,f),app(app(cons,x),xs)) >= app(app(app(app(filter2,app(f,x)), f),x),xs) ; app(app(filter,f),nil) >= nil ; app(minsort,app(app(cons,x),y)) >= app(app(cons,app(app(min,x),y)), app(minsort, app(app(del,app(app(min,x),y)), app(app(cons,x),y)))) ; app(minsort,nil) >= nil ; Marked_app(app(app(app(filter2,true),f),x),xs) >= Marked_app(app(cons,x), app(app(filter,f),xs)) ; Marked_app(app(app(app(filter2,true),f),x),xs) >= Marked_app(app(filter,f), xs) ; Marked_app(app(app(app(filter2,false),f),x),xs) >= Marked_app(app(filter,f), xs) ; Marked_app(app(le,app(s,x)),app(s,y)) >= Marked_app(app(le,x),y) ; Marked_app(app(eq,app(s,x)),app(s,y)) >= Marked_app(app(eq,x),y) ; Marked_app(app(min,x),app(app(cons,y),z)) >= Marked_app(app(app(if, app(app(le,x),y)), app(app(min,x),z)), app(app(min,y),z)) ; Marked_app(app(min,x),app(app(cons,y),z)) >= Marked_app(app(le,x),y) ; Marked_app(app(min,x),app(app(cons,y),z)) >= Marked_app(app(if, app(app(le,x),y)), app(app(min,x),z)) ; Marked_app(app(min,x),app(app(cons,y),z)) >= Marked_app(app(min,y),z) ; Marked_app(app(min,x),app(app(cons,y),z)) >= Marked_app(app(min,x),z) ; Marked_app(app(del,x),app(app(cons,y),z)) >= Marked_app(app(app(if, app(app(eq,x),y)), z), app(app(cons,y), app(app(del,x),z))) ; Marked_app(app(del,x),app(app(cons,y),z)) >= Marked_app(app(eq,x),y) ; Marked_app(app(del,x),app(app(cons,y),z)) >= Marked_app(app(if, app(app(eq,x),y)), z) ; Marked_app(app(del,x),app(app(cons,y),z)) >= Marked_app(app(cons,y), app(app(del,x),z)) ; Marked_app(app(del,x),app(app(cons,y),z)) >= Marked_app(app(del,x),z) ; Marked_app(app(map,f),app(app(cons,x),xs)) >= Marked_app(app(cons,app(f,x)), app(app(map,f),xs)) ; Marked_app(app(map,f),app(app(cons,x),xs)) >= Marked_app(app(map,f),xs) ; Marked_app(app(map,f),app(app(cons,x),xs)) >= Marked_app(f,x) ; Marked_app(app(filter,f),app(app(cons,x),xs)) >= Marked_app(app(app( app( filter2, app(f,x)), f), x),xs) ; Marked_app(app(filter,f),app(app(cons,x),xs)) >= Marked_app(app(app( filter2, app(f,x)), f),x) ; Marked_app(app(filter,f),app(app(cons,x),xs)) >= Marked_app(app(filter2, app(f,x)), f) ; Marked_app(app(filter,f),app(app(cons,x),xs)) >= Marked_app(f,x) ; Marked_app(minsort,app(app(cons,x),y)) >= Marked_app(app(cons, app(app(min,x),y)), app(minsort, app(app(del,app(app(min,x),y)), app(app(cons,x),y)))) ; Marked_app(minsort,app(app(cons,x),y)) >= Marked_app(app(min,x),y) ; Marked_app(minsort,app(app(cons,x),y)) >= Marked_app(app(del, app(app(min,x),y)), app(app(cons,x),y)) ; Marked_app(minsort,app(app(cons,x),y)) >= Marked_app(minsort, app(app(del,app(app(min,x),y)), app(app(cons,x),y))) ; } + Disjunctions:{ { Marked_app(app(app(app(filter2,true),f),x),xs) > Marked_app(app(cons,x), app(app(filter,f),xs)) ; } { Marked_app(app(app(app(filter2,true),f),x),xs) > Marked_app(app(filter,f),xs) ; } { Marked_app(app(app(app(filter2,false),f),x),xs) > Marked_app(app(filter,f), xs) ; } { Marked_app(app(le,app(s,x)),app(s,y)) > Marked_app(app(le,x),y) ; } { Marked_app(app(eq,app(s,x)),app(s,y)) > Marked_app(app(eq,x),y) ; } { Marked_app(app(min,x),app(app(cons,y),z)) > Marked_app(app(app(if, app(app(le,x),y)), app(app(min,x),z)), app(app(min,y),z)) ; } { Marked_app(app(min,x),app(app(cons,y),z)) > Marked_app(app(le,x),y) ; } { Marked_app(app(min,x),app(app(cons,y),z)) > Marked_app(app(if, app(app(le,x),y)), app(app(min,x),z)) ; } { Marked_app(app(min,x),app(app(cons,y),z)) > Marked_app(app(min,y),z) ; } { Marked_app(app(min,x),app(app(cons,y),z)) > Marked_app(app(min,x),z) ; } { Marked_app(app(del,x),app(app(cons,y),z)) > Marked_app(app(app(if, app(app(eq,x),y)), z), app(app(cons,y), app(app(del,x),z))) ; } { Marked_app(app(del,x),app(app(cons,y),z)) > Marked_app(app(eq,x),y) ; } { Marked_app(app(del,x),app(app(cons,y),z)) > Marked_app(app(if, app(app(eq,x),y)), z) ; } { Marked_app(app(del,x),app(app(cons,y),z)) > Marked_app(app(cons,y), app(app(del,x),z)) ; } { Marked_app(app(del,x),app(app(cons,y),z)) > Marked_app(app(del,x),z) ; } { Marked_app(app(map,f),app(app(cons,x),xs)) > Marked_app(app(cons,app(f,x)), app(app(map,f),xs)) ; } { Marked_app(app(map,f),app(app(cons,x),xs)) > Marked_app(app(map,f),xs) ; } { Marked_app(app(map,f),app(app(cons,x),xs)) > Marked_app(f,x) ; } { Marked_app(app(filter,f),app(app(cons,x),xs)) > Marked_app(app(app( app( filter2, app(f,x)), f), x),xs) ; } { Marked_app(app(filter,f),app(app(cons,x),xs)) > Marked_app(app(app( filter2, app(f,x)), f),x) ; } { Marked_app(app(filter,f),app(app(cons,x),xs)) > Marked_app(app(filter2, app(f,x)), f) ; } { Marked_app(app(filter,f),app(app(cons,x),xs)) > Marked_app(f,x) ; } { Marked_app(minsort,app(app(cons,x),y)) > Marked_app(app(cons, app(app(min,x),y)), app(minsort, app(app(del,app(app(min,x),y)), app(app(cons,x),y)))) ; } { Marked_app(minsort,app(app(cons,x),y)) > Marked_app(app(min,x),y) ; } { Marked_app(minsort,app(app(cons,x),y)) > Marked_app(app(del, app(app(min,x),y)), app(app(cons,x),y)) ; } { Marked_app(minsort,app(app(cons,x),y)) > Marked_app(minsort, app(app(del,app(app(min,x),y)), app(app(cons,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 : 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 : 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 : 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 : 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 === STOPING TIMER virtual === Time out 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 === 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 83.080006 seconds (real time) Cime Exit Status: 0