- : unit = () - : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] app(D,t) -> 1 [2] app(D,constant) -> 0 [3] app(D,app(app(+,x),y)) -> app(app(+,app(D,x)),app(D,y)) [4] app(D,app(app( *,x),y)) -> app(app(+,app(app( *,y),app(D,x))),app(app( *,x),app(D,y))) [5] app(D,app(app(-,x),y)) -> app(app(-,app(D,x)),app(D,y)) [6] app(D,app(minus,x)) -> app(minus,app(D,x)) [7] app(D,app(app(div,x),y)) -> app(app(-,app(app(div,app(D,x)),y)), app(app(div,app(app( *,x),app(D,y))),app(app(pow,y),2))) [8] app(D,app(ln,x)) -> app(app(div,app(D,x)),x) [9] app(D,app(app(pow,x),y)) -> app(app(+, app(app( *,app(app( *,y),app(app(pow,x),app(app(-,y),1)))),app(D,x))), app(app( *,app(app( *,app(app(pow,x),y)),app(ln,x))),app(D,y))) [10] app(app(map,f),nil) -> nil [11] app(app(map,f),app(app(cons,x),xs)) -> app(app(cons,app(f,x)),app(app(map,f),xs)) [12] app(app(filter,f),nil) -> nil [13] app(app(filter,f),app(app(cons,x),xs)) -> app(app(app(app(filter2,app(f,x)),f),x),xs) [14] app(app(app(app(filter2,true),f),x),xs) -> app(app(cons,x),app(app(filter,f),xs)) [15] 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 (Subterm criterion) 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(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(D,app(app(+,x),y)) >= app(app(+,app(D,x)),app(D,y)) ; app(D,app(app( *,x),y)) >= app(app(+,app(app( *,y),app(D,x))), app(app( *,x),app(D,y))) ; app(D,app(app(-,x),y)) >= app(app(-,app(D,x)),app(D,y)) ; app(D,app(app(div,x),y)) >= app(app(-,app(app(div,app(D,x)),y)), app(app(div,app(app( *,x),app(D,y))), app(app(pow,y),2))) ; app(D,app(app(pow,x),y)) >= app(app(+, app(app( *, app(app( *,y), app(app(pow,x),app(app(-,y),1)))), app(D,x))), app(app( *, app(app( *,app(app(pow,x),y)),app(ln,x))), app(D,y))) ; app(D,app(minus,x)) >= app(minus,app(D,x)) ; app(D,app(ln,x)) >= app(app(div,app(D,x)),x) ; app(D,t) >= 1 ; app(D,constant) >= 0 ; 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(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(app(cons,app(f,x)), 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(D,app(app(+,x),y)) >= Marked_app(app(+,app(D,x)),app(D,y)) ; Marked_app(D,app(app(+,x),y)) >= Marked_app(D,x) ; Marked_app(D,app(app(+,x),y)) >= Marked_app(D,y) ; Marked_app(D,app(app( *,x),y)) >= Marked_app(app(+,app(app( *,y),app(D,x))), app(app( *,x),app(D,y))) ; Marked_app(D,app(app( *,x),y)) >= Marked_app(app( *,x),app(D,y)) ; Marked_app(D,app(app( *,x),y)) >= Marked_app(app( *,y),app(D,x)) ; Marked_app(D,app(app( *,x),y)) >= Marked_app(D,x) ; Marked_app(D,app(app( *,x),y)) >= Marked_app(D,y) ; Marked_app(D,app(app(-,x),y)) >= Marked_app(app(-,app(D,x)),app(D,y)) ; Marked_app(D,app(app(-,x),y)) >= Marked_app(D,x) ; Marked_app(D,app(app(-,x),y)) >= Marked_app(D,y) ; Marked_app(D,app(app(div,x),y)) >= Marked_app(app( *,x),app(D,y)) ; Marked_app(D,app(app(div,x),y)) >= Marked_app(app(-,app(app(div,app(D,x)),y)), app(app(div,app(app( *,x),app(D,y))), app(app(pow,y),2))) ; Marked_app(D,app(app(div,x),y)) >= Marked_app(app(div, app(app( *,x),app(D,y))), app(app(pow,y),2)) ; Marked_app(D,app(app(div,x),y)) >= Marked_app(app(div,app(D,x)),y) ; Marked_app(D,app(app(div,x),y)) >= Marked_app(app(pow,y),2) ; Marked_app(D,app(app(div,x),y)) >= Marked_app(D,x) ; Marked_app(D,app(app(div,x),y)) >= Marked_app(D,y) ; Marked_app(D,app(app(pow,x),y)) >= Marked_app(app(+, app(app( *, app(app( *,y), app(app(pow,x), app(app(-,y),1)))), app(D,x))), app(app( *, app(app( *,app(app(pow,x),y)), app(ln,x))),app(D,y))) ; Marked_app(D,app(app(pow,x),y)) >= Marked_app(app( *, app(app( *,app(app(pow,x),y)), app(ln,x))),app(D,y)) ; Marked_app(D,app(app(pow,x),y)) >= Marked_app(app( *, app(app( *,y), app(app(pow,x), app(app(-,y),1)))), app(D,x)) ; Marked_app(D,app(app(pow,x),y)) >= Marked_app(app( *,app(app(pow,x),y)), app(ln,x)) ; Marked_app(D,app(app(pow,x),y)) >= Marked_app(app( *,y), app(app(pow,x),app(app(-,y),1))) ; Marked_app(D,app(app(pow,x),y)) >= Marked_app(app(-,y),1) ; Marked_app(D,app(app(pow,x),y)) >= Marked_app(app(pow,x),app(app(-,y),1)) ; Marked_app(D,app(app(pow,x),y)) >= Marked_app(D,x) ; Marked_app(D,app(app(pow,x),y)) >= Marked_app(D,y) ; Marked_app(D,app(minus,x)) >= Marked_app(D,x) ; Marked_app(D,app(ln,x)) >= Marked_app(app(div,app(D,x)),x) ; Marked_app(D,app(ln,x)) >= Marked_app(D,x) ; } + 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(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(app(cons,app(f,x)), 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(D,app(app(+,x),y)) > Marked_app(app(+,app(D,x)),app(D,y)) ; } { Marked_app(D,app(app(+,x),y)) > Marked_app(D,x) ; } { Marked_app(D,app(app(+,x),y)) > Marked_app(D,y) ; } { Marked_app(D,app(app( *,x),y)) > Marked_app(app(+,app(app( *,y),app(D,x))), app(app( *,x),app(D,y))) ; } { Marked_app(D,app(app( *,x),y)) > Marked_app(app( *,x),app(D,y)) ; } { Marked_app(D,app(app( *,x),y)) > Marked_app(app( *,y),app(D,x)) ; } { Marked_app(D,app(app( *,x),y)) > Marked_app(D,x) ; } { Marked_app(D,app(app( *,x),y)) > Marked_app(D,y) ; } { Marked_app(D,app(app(-,x),y)) > Marked_app(app(-,app(D,x)),app(D,y)) ; } { Marked_app(D,app(app(-,x),y)) > Marked_app(D,x) ; } { Marked_app(D,app(app(-,x),y)) > Marked_app(D,y) ; } { Marked_app(D,app(app(div,x),y)) > Marked_app(app( *,x),app(D,y)) ; } { Marked_app(D,app(app(div,x),y)) > Marked_app(app(-,app(app(div,app(D,x)),y)), app(app(div,app(app( *,x),app(D,y))), app(app(pow,y),2))) ; } { Marked_app(D,app(app(div,x),y)) > Marked_app(app(div,app(app( *,x),app(D,y))), app(app(pow,y),2)) ; } { Marked_app(D,app(app(div,x),y)) > Marked_app(app(div,app(D,x)),y) ; } { Marked_app(D,app(app(div,x),y)) > Marked_app(app(pow,y),2) ; } { Marked_app(D,app(app(div,x),y)) > Marked_app(D,x) ; } { Marked_app(D,app(app(div,x),y)) > Marked_app(D,y) ; } { Marked_app(D,app(app(pow,x),y)) > Marked_app(app(+, app(app( *, app(app( *,y), app(app(pow,x), app(app(-,y),1)))), app(D,x))), app(app( *, app(app( *,app(app(pow,x),y)), app(ln,x))),app(D,y))) ; } { Marked_app(D,app(app(pow,x),y)) > Marked_app(app( *, app(app( *,app(app(pow,x),y)), app(ln,x))),app(D,y)) ; } { Marked_app(D,app(app(pow,x),y)) > Marked_app(app( *, app(app( *,y), app(app(pow,x), app(app(-,y),1)))), app(D,x)) ; } { Marked_app(D,app(app(pow,x),y)) > Marked_app(app( *,app(app(pow,x),y)), app(ln,x)) ; } { Marked_app(D,app(app(pow,x),y)) > Marked_app(app( *,y), app(app(pow,x),app(app(-,y),1))) ; } { Marked_app(D,app(app(pow,x),y)) > Marked_app(app(-,y),1) ; } { Marked_app(D,app(app(pow,x),y)) > Marked_app(app(pow,x),app(app(-,y),1)) ; } { Marked_app(D,app(app(pow,x),y)) > Marked_app(D,x) ; } { Marked_app(D,app(app(pow,x),y)) > Marked_app(D,y) ; } { Marked_app(D,app(minus,x)) > Marked_app(D,x) ; } { Marked_app(D,app(ln,x)) > Marked_app(app(div,app(D,x)),x) ; } { Marked_app(D,app(ln,x)) > Marked_app(D,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 : 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 : 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 === 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 (Simple graph) Found 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(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(D,app(app(+,x),y)) >= app(app(+,app(D,x)),app(D,y)) ; app(D,app(app( *,x),y)) >= app(app(+,app(app( *,y),app(D,x))), app(app( *,x),app(D,y))) ; app(D,app(app(-,x),y)) >= app(app(-,app(D,x)),app(D,y)) ; app(D,app(app(div,x),y)) >= app(app(-,app(app(div,app(D,x)),y)), app(app(div,app(app( *,x),app(D,y))), app(app(pow,y),2))) ; app(D,app(app(pow,x),y)) >= app(app(+, app(app( *, app(app( *,y), app(app(pow,x),app(app(-,y),1)))), app(D,x))), app(app( *, app(app( *,app(app(pow,x),y)),app(ln,x))), app(D,y))) ; app(D,app(minus,x)) >= app(minus,app(D,x)) ; app(D,app(ln,x)) >= app(app(div,app(D,x)),x) ; app(D,t) >= 1 ; app(D,constant) >= 0 ; 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(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(app(cons,app(f,x)), 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(D,app(app(+,x),y)) > Marked_app(app(+,app(D,x)),app(D,y)) ; Marked_app(D,app(app(+,x),y)) > Marked_app(D,x) ; Marked_app(D,app(app(+,x),y)) > Marked_app(D,y) ; Marked_app(D,app(app( *,x),y)) > Marked_app(app(+,app(app( *,y),app(D,x))), app(app( *,x),app(D,y))) ; Marked_app(D,app(app( *,x),y)) > Marked_app(app( *,x),app(D,y)) ; Marked_app(D,app(app( *,x),y)) > Marked_app(app( *,y),app(D,x)) ; Marked_app(D,app(app( *,x),y)) > Marked_app(D,x) ; Marked_app(D,app(app( *,x),y)) > Marked_app(D,y) ; Marked_app(D,app(app(-,x),y)) > Marked_app(app(-,app(D,x)),app(D,y)) ; Marked_app(D,app(app(-,x),y)) > Marked_app(D,x) ; Marked_app(D,app(app(-,x),y)) > Marked_app(D,y) ; Marked_app(D,app(app(div,x),y)) > Marked_app(app( *,x),app(D,y)) ; Marked_app(D,app(app(div,x),y)) > Marked_app(app(-,app(app(div,app(D,x)),y)), app(app(div,app(app( *,x),app(D,y))), app(app(pow,y),2))) ; Marked_app(D,app(app(div,x),y)) > Marked_app(app(div,app(app( *,x),app(D,y))), app(app(pow,y),2)) ; Marked_app(D,app(app(div,x),y)) > Marked_app(app(div,app(D,x)),y) ; Marked_app(D,app(app(div,x),y)) > Marked_app(app(pow,y),2) ; Marked_app(D,app(app(div,x),y)) > Marked_app(D,x) ; Marked_app(D,app(app(div,x),y)) > Marked_app(D,y) ; Marked_app(D,app(app(pow,x),y)) > Marked_app(app(+, app(app( *, app(app( *,y), app(app(pow,x), app(app(-,y),1)))), app(D,x))), app(app( *, app(app( *,app(app(pow,x),y)), app(ln,x))),app(D,y))) ; Marked_app(D,app(app(pow,x),y)) > Marked_app(app( *, app(app( *,app(app(pow,x),y)), app(ln,x))),app(D,y)) ; Marked_app(D,app(app(pow,x),y)) > Marked_app(app( *, app(app( *,y), app(app(pow,x), app(app(-,y),1)))), app(D,x)) ; Marked_app(D,app(app(pow,x),y)) > Marked_app(app( *,app(app(pow,x),y)), app(ln,x)) ; Marked_app(D,app(app(pow,x),y)) > Marked_app(app( *,y), app(app(pow,x),app(app(-,y),1))) ; Marked_app(D,app(app(pow,x),y)) > Marked_app(app(-,y),1) ; Marked_app(D,app(app(pow,x),y)) > Marked_app(app(pow,x),app(app(-,y),1)) ; Marked_app(D,app(app(pow,x),y)) > Marked_app(D,x) ; Marked_app(D,app(app(pow,x),y)) > Marked_app(D,y) ; Marked_app(D,app(minus,x)) > Marked_app(D,x) ; Marked_app(D,app(ln,x)) > Marked_app(app(div,app(D,x)),x) ; Marked_app(D,app(ln,x)) > Marked_app(D,x) ; } APPLY CRITERIA (SOLVE_ORD) 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(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(D,app(app(+,x),y)) >= app(app(+,app(D,x)),app(D,y)) ; app(D,app(app( *,x),y)) >= app(app(+,app(app( *,y),app(D,x))), app(app( *,x),app(D,y))) ; app(D,app(app(-,x),y)) >= app(app(-,app(D,x)),app(D,y)) ; app(D,app(app(div,x),y)) >= app(app(-,app(app(div,app(D,x)),y)), app(app(div,app(app( *,x),app(D,y))), app(app(pow,y),2))) ; app(D,app(app(pow,x),y)) >= app(app(+, app(app( *, app(app( *,y), app(app(pow,x),app(app(-,y),1)))), app(D,x))), app(app( *, app(app( *,app(app(pow,x),y)),app(ln,x))), app(D,y))) ; app(D,app(minus,x)) >= app(minus,app(D,x)) ; app(D,app(ln,x)) >= app(app(div,app(D,x)),x) ; app(D,t) >= 1 ; app(D,constant) >= 0 ; 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(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(app(cons,app(f,x)), 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(D,app(app(+,x),y)) > Marked_app(app(+,app(D,x)),app(D,y)) ; Marked_app(D,app(app(+,x),y)) > Marked_app(D,x) ; Marked_app(D,app(app(+,x),y)) > Marked_app(D,y) ; Marked_app(D,app(app( *,x),y)) > Marked_app(app(+,app(app( *,y),app(D,x))), app(app( *,x),app(D,y))) ; Marked_app(D,app(app( *,x),y)) > Marked_app(app( *,x),app(D,y)) ; Marked_app(D,app(app( *,x),y)) > Marked_app(app( *,y),app(D,x)) ; Marked_app(D,app(app( *,x),y)) > Marked_app(D,x) ; Marked_app(D,app(app( *,x),y)) > Marked_app(D,y) ; Marked_app(D,app(app(-,x),y)) > Marked_app(app(-,app(D,x)),app(D,y)) ; Marked_app(D,app(app(-,x),y)) > Marked_app(D,x) ; Marked_app(D,app(app(-,x),y)) > Marked_app(D,y) ; Marked_app(D,app(app(div,x),y)) > Marked_app(app( *,x),app(D,y)) ; Marked_app(D,app(app(div,x),y)) > Marked_app(app(-,app(app(div,app(D,x)),y)), app(app(div,app(app( *,x),app(D,y))), app(app(pow,y),2))) ; Marked_app(D,app(app(div,x),y)) > Marked_app(app(div,app(app( *,x),app(D,y))), app(app(pow,y),2)) ; Marked_app(D,app(app(div,x),y)) > Marked_app(app(div,app(D,x)),y) ; Marked_app(D,app(app(div,x),y)) > Marked_app(app(pow,y),2) ; Marked_app(D,app(app(div,x),y)) > Marked_app(D,x) ; Marked_app(D,app(app(div,x),y)) > Marked_app(D,y) ; Marked_app(D,app(app(pow,x),y)) > Marked_app(app(+, app(app( *, app(app( *,y), app(app(pow,x), app(app(-,y),1)))), app(D,x))), app(app( *, app(app( *,app(app(pow,x),y)), app(ln,x))),app(D,y))) ; Marked_app(D,app(app(pow,x),y)) > Marked_app(app( *, app(app( *,app(app(pow,x),y)), app(ln,x))),app(D,y)) ; Marked_app(D,app(app(pow,x),y)) > Marked_app(app( *, app(app( *,y), app(app(pow,x), app(app(-,y),1)))), app(D,x)) ; Marked_app(D,app(app(pow,x),y)) > Marked_app(app( *,app(app(pow,x),y)), app(ln,x)) ; Marked_app(D,app(app(pow,x),y)) > Marked_app(app( *,y), app(app(pow,x),app(app(-,y),1))) ; Marked_app(D,app(app(pow,x),y)) > Marked_app(app(-,y),1) ; Marked_app(D,app(app(pow,x),y)) > Marked_app(app(pow,x),app(app(-,y),1)) ; Marked_app(D,app(app(pow,x),y)) > Marked_app(D,x) ; Marked_app(D,app(app(pow,x),y)) > Marked_app(D,y) ; Marked_app(D,app(minus,x)) > Marked_app(D,x) ; Marked_app(D,app(ln,x)) > Marked_app(app(div,app(D,x)),x) ; Marked_app(D,app(ln,x)) > Marked_app(D,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.(6 bt (0) [8]) === TIMER virtual : 15.000000 === Entering poly_solver === 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 135.438523 seconds (real time) Cime Exit Status: 0