- : unit = () - : unit = () h : heuristic = - : unit = () APPLY CRITERIA (Marked dependency pairs) TRS termination of: [1] active(app(nil,YS)) -> mark(YS) [2] active(app(cons(X,XS),YS)) -> mark(cons(X,app(XS,YS))) [3] active(from(X)) -> mark(cons(X,from(s(X)))) [4] active(zWadr(nil,YS)) -> mark(nil) [5] active(zWadr(XS,nil)) -> mark(nil) [6] active(zWadr(cons(X,XS),cons(Y,YS))) -> mark(cons(app(Y,cons(X,nil)),zWadr(XS,YS))) [7] active(prefix(L)) -> mark(cons(nil,zWadr(L,prefix(L)))) [8] mark(app(X1,X2)) -> active(app(mark(X1),mark(X2))) [9] mark(nil) -> active(nil) [10] mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) [11] mark(from(X)) -> active(from(mark(X))) [12] mark(s(X)) -> active(s(mark(X))) [13] mark(zWadr(X1,X2)) -> active(zWadr(mark(X1),mark(X2))) [14] mark(prefix(X)) -> active(prefix(mark(X))) [15] app(mark(X1),X2) -> app(X1,X2) [16] app(X1,mark(X2)) -> app(X1,X2) [17] app(active(X1),X2) -> app(X1,X2) [18] app(X1,active(X2)) -> app(X1,X2) [19] cons(mark(X1),X2) -> cons(X1,X2) [20] cons(X1,mark(X2)) -> cons(X1,X2) [21] cons(active(X1),X2) -> cons(X1,X2) [22] cons(X1,active(X2)) -> cons(X1,X2) [23] from(mark(X)) -> from(X) [24] from(active(X)) -> from(X) [25] s(mark(X)) -> s(X) [26] s(active(X)) -> s(X) [27] zWadr(mark(X1),X2) -> zWadr(X1,X2) [28] zWadr(X1,mark(X2)) -> zWadr(X1,X2) [29] zWadr(active(X1),X2) -> zWadr(X1,X2) [30] zWadr(X1,active(X2)) -> zWadr(X1,X2) [31] prefix(mark(X)) -> prefix(X) [32] prefix(active(X)) -> prefix(X) Sub problem: guided: DP termination of: END GUIDED APPLY CRITERIA (Graph splitting) Found 7 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> } { --> --> --> --> } { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } { --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(app(X1,X2)) >= active(app(mark(X1),mark(X2))) ; mark(nil) >= active(nil) ; mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(from(X)) >= active(from(mark(X))) ; mark(s(X)) >= active(s(mark(X))) ; mark(zWadr(X1,X2)) >= active(zWadr(mark(X1),mark(X2))) ; mark(prefix(X)) >= active(prefix(mark(X))) ; active(app(nil,YS)) >= mark(YS) ; active(app(cons(X,XS),YS)) >= mark(cons(X,app(XS,YS))) ; active(from(X)) >= mark(cons(X,from(s(X)))) ; active(zWadr(nil,YS)) >= mark(nil) ; active(zWadr(cons(X,XS),cons(Y,YS))) >= mark(cons(app(Y,cons(X,nil)), zWadr(XS,YS))) ; active(zWadr(XS,nil)) >= mark(nil) ; active(prefix(L)) >= mark(cons(nil,zWadr(L,prefix(L)))) ; app(mark(X1),X2) >= app(X1,X2) ; app(active(X1),X2) >= app(X1,X2) ; app(X1,mark(X2)) >= app(X1,X2) ; app(X1,active(X2)) >= app(X1,X2) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; from(mark(X)) >= from(X) ; from(active(X)) >= from(X) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; zWadr(mark(X1),X2) >= zWadr(X1,X2) ; zWadr(active(X1),X2) >= zWadr(X1,X2) ; zWadr(X1,mark(X2)) >= zWadr(X1,X2) ; zWadr(X1,active(X2)) >= zWadr(X1,X2) ; prefix(mark(X)) >= prefix(X) ; prefix(active(X)) >= prefix(X) ; Marked_mark(app(X1,X2)) >= Marked_mark(X1) ; Marked_mark(app(X1,X2)) >= Marked_mark(X2) ; Marked_mark(app(X1,X2)) >= Marked_active(app(mark(X1),mark(X2))) ; Marked_mark(cons(X1,X2)) >= Marked_mark(X1) ; Marked_mark(cons(X1,X2)) >= Marked_active(cons(mark(X1),X2)) ; Marked_mark(from(X)) >= Marked_mark(X) ; Marked_mark(from(X)) >= Marked_active(from(mark(X))) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(s(X)) >= Marked_active(s(mark(X))) ; Marked_mark(zWadr(X1,X2)) >= Marked_mark(X1) ; Marked_mark(zWadr(X1,X2)) >= Marked_mark(X2) ; Marked_mark(zWadr(X1,X2)) >= Marked_active(zWadr(mark(X1),mark(X2))) ; Marked_mark(prefix(X)) >= Marked_mark(X) ; Marked_mark(prefix(X)) >= Marked_active(prefix(mark(X))) ; Marked_active(app(nil,YS)) >= Marked_mark(YS) ; Marked_active(app(cons(X,XS),YS)) >= Marked_mark(cons(X,app(XS,YS))) ; Marked_active(from(X)) >= Marked_mark(cons(X,from(s(X)))) ; Marked_active(zWadr(cons(X,XS),cons(Y,YS))) >= Marked_mark(cons(app( Y, cons(X,nil)), zWadr(XS,YS))) ; Marked_active(prefix(L)) >= Marked_mark(cons(nil,zWadr(L,prefix(L)))) ; } + Disjunctions:{ { Marked_mark(app(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(app(X1,X2)) > Marked_mark(X2) ; } { Marked_mark(app(X1,X2)) > Marked_active(app(mark(X1),mark(X2))) ; } { Marked_mark(cons(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(cons(X1,X2)) > Marked_active(cons(mark(X1),X2)) ; } { Marked_mark(from(X)) > Marked_mark(X) ; } { Marked_mark(from(X)) > Marked_active(from(mark(X))) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(s(X)) > Marked_active(s(mark(X))) ; } { Marked_mark(zWadr(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(zWadr(X1,X2)) > Marked_mark(X2) ; } { Marked_mark(zWadr(X1,X2)) > Marked_active(zWadr(mark(X1),mark(X2))) ; } { Marked_mark(prefix(X)) > Marked_mark(X) ; } { Marked_mark(prefix(X)) > Marked_active(prefix(mark(X))) ; } { Marked_active(app(nil,YS)) > Marked_mark(YS) ; } { Marked_active(app(cons(X,XS),YS)) > Marked_mark(cons(X,app(XS,YS))) ; } { Marked_active(from(X)) > Marked_mark(cons(X,from(s(X)))) ; } { Marked_active(zWadr(cons(X,XS),cons(Y,YS))) > Marked_mark(cons(app( Y, cons(X,nil)), zWadr(XS,YS))) ; } { Marked_active(prefix(L)) > Marked_mark(cons(nil,zWadr(L,prefix(L)))) ; } } === 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 Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(app(X1,X2)) >= active(app(mark(X1),mark(X2))) constraint: mark(nil) >= active(nil) constraint: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(from(X)) >= active(from(mark(X))) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(zWadr(X1,X2)) >= active(zWadr(mark(X1),mark(X2))) constraint: mark(prefix(X)) >= active(prefix(mark(X))) constraint: active(app(nil,YS)) >= mark(YS) constraint: active(app(cons(X,XS),YS)) >= mark(cons(X,app(XS,YS))) constraint: active(from(X)) >= mark(cons(X,from(s(X)))) constraint: active(zWadr(nil,YS)) >= mark(nil) constraint: active(zWadr(cons(X,XS),cons(Y,YS))) >= mark(cons(app(Y, cons(X,nil)), zWadr(XS,YS))) constraint: active(zWadr(XS,nil)) >= mark(nil) constraint: active(prefix(L)) >= mark(cons(nil,zWadr(L,prefix(L)))) constraint: app(mark(X1),X2) >= app(X1,X2) constraint: app(active(X1),X2) >= app(X1,X2) constraint: app(X1,mark(X2)) >= app(X1,X2) constraint: app(X1,active(X2)) >= app(X1,X2) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: from(mark(X)) >= from(X) constraint: from(active(X)) >= from(X) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: zWadr(mark(X1),X2) >= zWadr(X1,X2) constraint: zWadr(active(X1),X2) >= zWadr(X1,X2) constraint: zWadr(X1,mark(X2)) >= zWadr(X1,X2) constraint: zWadr(X1,active(X2)) >= zWadr(X1,X2) constraint: prefix(mark(X)) >= prefix(X) constraint: prefix(active(X)) >= prefix(X) constraint: Marked_mark(app(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(app(X1,X2)) >= Marked_mark(X2) constraint: Marked_mark(app(X1,X2)) >= Marked_active(app(mark(X1),mark(X2))) constraint: Marked_mark(cons(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(cons(X1,X2)) >= Marked_active(cons(mark(X1),X2)) constraint: Marked_mark(from(X)) >= Marked_mark(X) constraint: Marked_mark(from(X)) >= Marked_active(from(mark(X))) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(s(X)) >= Marked_active(s(mark(X))) constraint: Marked_mark(zWadr(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(zWadr(X1,X2)) >= Marked_mark(X2) constraint: Marked_mark(zWadr(X1,X2)) >= Marked_active(zWadr(mark(X1),mark(X2))) constraint: Marked_mark(prefix(X)) >= Marked_mark(X) constraint: Marked_mark(prefix(X)) >= Marked_active(prefix(mark(X))) constraint: Marked_active(app(nil,YS)) >= Marked_mark(YS) constraint: Marked_active(app(cons(X,XS),YS)) >= Marked_mark(cons(X,app(XS,YS))) constraint: Marked_active(from(X)) >= Marked_mark(cons(X,from(s(X)))) constraint: Marked_active(zWadr(cons(X,XS),cons(Y,YS))) >= Marked_mark( cons(app( Y, cons(X,nil)), zWadr(XS,YS))) constraint: Marked_active(prefix(L)) >= Marked_mark(cons(nil, zWadr(L,prefix(L)))) APPLY CRITERIA (Subterm criterion) ST: Marked_app -> 2 APPLY CRITERIA (Subterm criterion) ST: Marked_cons -> 2 APPLY CRITERIA (Subterm criterion) ST: Marked_from -> 1 APPLY CRITERIA (Subterm criterion) ST: Marked_s -> 1 APPLY CRITERIA (Subterm criterion) ST: Marked_zWadr -> 2 APPLY CRITERIA (Subterm criterion) ST: Marked_prefix -> 1 APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(app(X1,X2)) >= active(app(mark(X1),mark(X2))) ; mark(nil) >= active(nil) ; mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(from(X)) >= active(from(mark(X))) ; mark(s(X)) >= active(s(mark(X))) ; mark(zWadr(X1,X2)) >= active(zWadr(mark(X1),mark(X2))) ; mark(prefix(X)) >= active(prefix(mark(X))) ; active(app(nil,YS)) >= mark(YS) ; active(app(cons(X,XS),YS)) >= mark(cons(X,app(XS,YS))) ; active(from(X)) >= mark(cons(X,from(s(X)))) ; active(zWadr(nil,YS)) >= mark(nil) ; active(zWadr(cons(X,XS),cons(Y,YS))) >= mark(cons(app(Y,cons(X,nil)), zWadr(XS,YS))) ; active(zWadr(XS,nil)) >= mark(nil) ; active(prefix(L)) >= mark(cons(nil,zWadr(L,prefix(L)))) ; app(mark(X1),X2) >= app(X1,X2) ; app(active(X1),X2) >= app(X1,X2) ; app(X1,mark(X2)) >= app(X1,X2) ; app(X1,active(X2)) >= app(X1,X2) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; from(mark(X)) >= from(X) ; from(active(X)) >= from(X) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; zWadr(mark(X1),X2) >= zWadr(X1,X2) ; zWadr(active(X1),X2) >= zWadr(X1,X2) ; zWadr(X1,mark(X2)) >= zWadr(X1,X2) ; zWadr(X1,active(X2)) >= zWadr(X1,X2) ; prefix(mark(X)) >= prefix(X) ; prefix(active(X)) >= prefix(X) ; Marked_mark(app(X1,X2)) >= Marked_mark(X1) ; Marked_mark(app(X1,X2)) >= Marked_mark(X2) ; Marked_mark(app(X1,X2)) >= Marked_active(app(mark(X1),mark(X2))) ; Marked_mark(cons(X1,X2)) >= Marked_active(cons(mark(X1),X2)) ; Marked_mark(from(X)) >= Marked_active(from(mark(X))) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(s(X)) >= Marked_active(s(mark(X))) ; Marked_mark(zWadr(X1,X2)) >= Marked_mark(X1) ; Marked_mark(zWadr(X1,X2)) >= Marked_mark(X2) ; Marked_mark(zWadr(X1,X2)) >= Marked_active(zWadr(mark(X1),mark(X2))) ; Marked_mark(prefix(X)) >= Marked_active(prefix(mark(X))) ; Marked_active(app(cons(X,XS),YS)) >= Marked_mark(cons(X,app(XS,YS))) ; Marked_active(prefix(L)) >= Marked_mark(cons(nil,zWadr(L,prefix(L)))) ; } + Disjunctions:{ { Marked_mark(app(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(app(X1,X2)) > Marked_mark(X2) ; } { Marked_mark(app(X1,X2)) > Marked_active(app(mark(X1),mark(X2))) ; } { Marked_mark(cons(X1,X2)) > Marked_active(cons(mark(X1),X2)) ; } { Marked_mark(from(X)) > Marked_active(from(mark(X))) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(s(X)) > Marked_active(s(mark(X))) ; } { Marked_mark(zWadr(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(zWadr(X1,X2)) > Marked_mark(X2) ; } { Marked_mark(zWadr(X1,X2)) > Marked_active(zWadr(mark(X1),mark(X2))) ; } { Marked_mark(prefix(X)) > Marked_active(prefix(mark(X))) ; } { Marked_active(app(cons(X,XS),YS)) > Marked_mark(cons(X,app(XS,YS))) ; } { Marked_active(prefix(L)) > Marked_mark(cons(nil,zWadr(L,prefix(L)))) ; } } === 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 Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(app(X1,X2)) >= active(app(mark(X1),mark(X2))) constraint: mark(nil) >= active(nil) constraint: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(from(X)) >= active(from(mark(X))) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(zWadr(X1,X2)) >= active(zWadr(mark(X1),mark(X2))) constraint: mark(prefix(X)) >= active(prefix(mark(X))) constraint: active(app(nil,YS)) >= mark(YS) constraint: active(app(cons(X,XS),YS)) >= mark(cons(X,app(XS,YS))) constraint: active(from(X)) >= mark(cons(X,from(s(X)))) constraint: active(zWadr(nil,YS)) >= mark(nil) constraint: active(zWadr(cons(X,XS),cons(Y,YS))) >= mark(cons(app(Y, cons(X,nil)), zWadr(XS,YS))) constraint: active(zWadr(XS,nil)) >= mark(nil) constraint: active(prefix(L)) >= mark(cons(nil,zWadr(L,prefix(L)))) constraint: app(mark(X1),X2) >= app(X1,X2) constraint: app(active(X1),X2) >= app(X1,X2) constraint: app(X1,mark(X2)) >= app(X1,X2) constraint: app(X1,active(X2)) >= app(X1,X2) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: from(mark(X)) >= from(X) constraint: from(active(X)) >= from(X) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: zWadr(mark(X1),X2) >= zWadr(X1,X2) constraint: zWadr(active(X1),X2) >= zWadr(X1,X2) constraint: zWadr(X1,mark(X2)) >= zWadr(X1,X2) constraint: zWadr(X1,active(X2)) >= zWadr(X1,X2) constraint: prefix(mark(X)) >= prefix(X) constraint: prefix(active(X)) >= prefix(X) constraint: Marked_mark(app(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(app(X1,X2)) >= Marked_mark(X2) constraint: Marked_mark(app(X1,X2)) >= Marked_active(app(mark(X1),mark(X2))) constraint: Marked_mark(cons(X1,X2)) >= Marked_active(cons(mark(X1),X2)) constraint: Marked_mark(from(X)) >= Marked_active(from(mark(X))) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(s(X)) >= Marked_active(s(mark(X))) constraint: Marked_mark(zWadr(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(zWadr(X1,X2)) >= Marked_mark(X2) constraint: Marked_mark(zWadr(X1,X2)) >= Marked_active(zWadr(mark(X1),mark(X2))) constraint: Marked_mark(prefix(X)) >= Marked_active(prefix(mark(X))) constraint: Marked_active(app(cons(X,XS),YS)) >= Marked_mark(cons(X,app(XS,YS))) constraint: Marked_active(prefix(L)) >= Marked_mark(cons(nil, zWadr(L,prefix(L)))) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(app(X1,X2)) >= active(app(mark(X1),mark(X2))) ; mark(nil) >= active(nil) ; mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(from(X)) >= active(from(mark(X))) ; mark(s(X)) >= active(s(mark(X))) ; mark(zWadr(X1,X2)) >= active(zWadr(mark(X1),mark(X2))) ; mark(prefix(X)) >= active(prefix(mark(X))) ; active(app(nil,YS)) >= mark(YS) ; active(app(cons(X,XS),YS)) >= mark(cons(X,app(XS,YS))) ; active(from(X)) >= mark(cons(X,from(s(X)))) ; active(zWadr(nil,YS)) >= mark(nil) ; active(zWadr(cons(X,XS),cons(Y,YS))) >= mark(cons(app(Y,cons(X,nil)), zWadr(XS,YS))) ; active(zWadr(XS,nil)) >= mark(nil) ; active(prefix(L)) >= mark(cons(nil,zWadr(L,prefix(L)))) ; app(mark(X1),X2) >= app(X1,X2) ; app(active(X1),X2) >= app(X1,X2) ; app(X1,mark(X2)) >= app(X1,X2) ; app(X1,active(X2)) >= app(X1,X2) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; from(mark(X)) >= from(X) ; from(active(X)) >= from(X) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; zWadr(mark(X1),X2) >= zWadr(X1,X2) ; zWadr(active(X1),X2) >= zWadr(X1,X2) ; zWadr(X1,mark(X2)) >= zWadr(X1,X2) ; zWadr(X1,active(X2)) >= zWadr(X1,X2) ; prefix(mark(X)) >= prefix(X) ; prefix(active(X)) >= prefix(X) ; Marked_mark(app(X1,X2)) >= Marked_active(app(mark(X1),mark(X2))) ; Marked_mark(cons(X1,X2)) >= Marked_active(cons(mark(X1),X2)) ; Marked_mark(from(X)) >= Marked_active(from(mark(X))) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(s(X)) >= Marked_active(s(mark(X))) ; Marked_mark(zWadr(X1,X2)) >= Marked_mark(X1) ; Marked_mark(zWadr(X1,X2)) >= Marked_mark(X2) ; Marked_mark(zWadr(X1,X2)) >= Marked_active(zWadr(mark(X1),mark(X2))) ; Marked_mark(prefix(X)) >= Marked_active(prefix(mark(X))) ; Marked_active(prefix(L)) >= Marked_mark(cons(nil,zWadr(L,prefix(L)))) ; } + Disjunctions:{ { Marked_mark(app(X1,X2)) > Marked_active(app(mark(X1),mark(X2))) ; } { Marked_mark(cons(X1,X2)) > Marked_active(cons(mark(X1),X2)) ; } { Marked_mark(from(X)) > Marked_active(from(mark(X))) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(s(X)) > Marked_active(s(mark(X))) ; } { Marked_mark(zWadr(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(zWadr(X1,X2)) > Marked_mark(X2) ; } { Marked_mark(zWadr(X1,X2)) > Marked_active(zWadr(mark(X1),mark(X2))) ; } { Marked_mark(prefix(X)) > Marked_active(prefix(mark(X))) ; } { Marked_active(prefix(L)) > Marked_mark(cons(nil,zWadr(L,prefix(L)))) ; } } === 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 Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(app(X1,X2)) >= active(app(mark(X1),mark(X2))) constraint: mark(nil) >= active(nil) constraint: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(from(X)) >= active(from(mark(X))) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(zWadr(X1,X2)) >= active(zWadr(mark(X1),mark(X2))) constraint: mark(prefix(X)) >= active(prefix(mark(X))) constraint: active(app(nil,YS)) >= mark(YS) constraint: active(app(cons(X,XS),YS)) >= mark(cons(X,app(XS,YS))) constraint: active(from(X)) >= mark(cons(X,from(s(X)))) constraint: active(zWadr(nil,YS)) >= mark(nil) constraint: active(zWadr(cons(X,XS),cons(Y,YS))) >= mark(cons(app(Y, cons(X,nil)), zWadr(XS,YS))) constraint: active(zWadr(XS,nil)) >= mark(nil) constraint: active(prefix(L)) >= mark(cons(nil,zWadr(L,prefix(L)))) constraint: app(mark(X1),X2) >= app(X1,X2) constraint: app(active(X1),X2) >= app(X1,X2) constraint: app(X1,mark(X2)) >= app(X1,X2) constraint: app(X1,active(X2)) >= app(X1,X2) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: from(mark(X)) >= from(X) constraint: from(active(X)) >= from(X) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: zWadr(mark(X1),X2) >= zWadr(X1,X2) constraint: zWadr(active(X1),X2) >= zWadr(X1,X2) constraint: zWadr(X1,mark(X2)) >= zWadr(X1,X2) constraint: zWadr(X1,active(X2)) >= zWadr(X1,X2) constraint: prefix(mark(X)) >= prefix(X) constraint: prefix(active(X)) >= prefix(X) constraint: Marked_mark(app(X1,X2)) >= Marked_active(app(mark(X1),mark(X2))) constraint: Marked_mark(cons(X1,X2)) >= Marked_active(cons(mark(X1),X2)) constraint: Marked_mark(from(X)) >= Marked_active(from(mark(X))) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(s(X)) >= Marked_active(s(mark(X))) constraint: Marked_mark(zWadr(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(zWadr(X1,X2)) >= Marked_mark(X2) constraint: Marked_mark(zWadr(X1,X2)) >= Marked_active(zWadr(mark(X1),mark(X2))) constraint: Marked_mark(prefix(X)) >= Marked_active(prefix(mark(X))) constraint: Marked_active(prefix(L)) >= Marked_mark(cons(nil, zWadr(L,prefix(L)))) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(app(X1,X2)) >= active(app(mark(X1),mark(X2))) ; mark(nil) >= active(nil) ; mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(from(X)) >= active(from(mark(X))) ; mark(s(X)) >= active(s(mark(X))) ; mark(zWadr(X1,X2)) >= active(zWadr(mark(X1),mark(X2))) ; mark(prefix(X)) >= active(prefix(mark(X))) ; active(app(nil,YS)) >= mark(YS) ; active(app(cons(X,XS),YS)) >= mark(cons(X,app(XS,YS))) ; active(from(X)) >= mark(cons(X,from(s(X)))) ; active(zWadr(nil,YS)) >= mark(nil) ; active(zWadr(cons(X,XS),cons(Y,YS))) >= mark(cons(app(Y,cons(X,nil)), zWadr(XS,YS))) ; active(zWadr(XS,nil)) >= mark(nil) ; active(prefix(L)) >= mark(cons(nil,zWadr(L,prefix(L)))) ; app(mark(X1),X2) >= app(X1,X2) ; app(active(X1),X2) >= app(X1,X2) ; app(X1,mark(X2)) >= app(X1,X2) ; app(X1,active(X2)) >= app(X1,X2) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; from(mark(X)) >= from(X) ; from(active(X)) >= from(X) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; zWadr(mark(X1),X2) >= zWadr(X1,X2) ; zWadr(active(X1),X2) >= zWadr(X1,X2) ; zWadr(X1,mark(X2)) >= zWadr(X1,X2) ; zWadr(X1,active(X2)) >= zWadr(X1,X2) ; prefix(mark(X)) >= prefix(X) ; prefix(active(X)) >= prefix(X) ; Marked_mark(cons(X1,X2)) >= Marked_active(cons(mark(X1),X2)) ; Marked_mark(from(X)) >= Marked_active(from(mark(X))) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(s(X)) >= Marked_active(s(mark(X))) ; Marked_mark(zWadr(X1,X2)) >= Marked_mark(X1) ; Marked_mark(zWadr(X1,X2)) >= Marked_mark(X2) ; Marked_mark(zWadr(X1,X2)) >= Marked_active(zWadr(mark(X1),mark(X2))) ; Marked_mark(prefix(X)) >= Marked_active(prefix(mark(X))) ; Marked_active(prefix(L)) >= Marked_mark(cons(nil,zWadr(L,prefix(L)))) ; } + Disjunctions:{ { Marked_mark(cons(X1,X2)) > Marked_active(cons(mark(X1),X2)) ; } { Marked_mark(from(X)) > Marked_active(from(mark(X))) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(s(X)) > Marked_active(s(mark(X))) ; } { Marked_mark(zWadr(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(zWadr(X1,X2)) > Marked_mark(X2) ; } { Marked_mark(zWadr(X1,X2)) > Marked_active(zWadr(mark(X1),mark(X2))) ; } { Marked_mark(prefix(X)) > Marked_active(prefix(mark(X))) ; } { Marked_active(prefix(L)) > Marked_mark(cons(nil,zWadr(L,prefix(L)))) ; } } === 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 Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(app(X1,X2)) >= active(app(mark(X1),mark(X2))) constraint: mark(nil) >= active(nil) constraint: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(from(X)) >= active(from(mark(X))) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(zWadr(X1,X2)) >= active(zWadr(mark(X1),mark(X2))) constraint: mark(prefix(X)) >= active(prefix(mark(X))) constraint: active(app(nil,YS)) >= mark(YS) constraint: active(app(cons(X,XS),YS)) >= mark(cons(X,app(XS,YS))) constraint: active(from(X)) >= mark(cons(X,from(s(X)))) constraint: active(zWadr(nil,YS)) >= mark(nil) constraint: active(zWadr(cons(X,XS),cons(Y,YS))) >= mark(cons(app(Y, cons(X,nil)), zWadr(XS,YS))) constraint: active(zWadr(XS,nil)) >= mark(nil) constraint: active(prefix(L)) >= mark(cons(nil,zWadr(L,prefix(L)))) constraint: app(mark(X1),X2) >= app(X1,X2) constraint: app(active(X1),X2) >= app(X1,X2) constraint: app(X1,mark(X2)) >= app(X1,X2) constraint: app(X1,active(X2)) >= app(X1,X2) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: from(mark(X)) >= from(X) constraint: from(active(X)) >= from(X) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: zWadr(mark(X1),X2) >= zWadr(X1,X2) constraint: zWadr(active(X1),X2) >= zWadr(X1,X2) constraint: zWadr(X1,mark(X2)) >= zWadr(X1,X2) constraint: zWadr(X1,active(X2)) >= zWadr(X1,X2) constraint: prefix(mark(X)) >= prefix(X) constraint: prefix(active(X)) >= prefix(X) constraint: Marked_mark(cons(X1,X2)) >= Marked_active(cons(mark(X1),X2)) constraint: Marked_mark(from(X)) >= Marked_active(from(mark(X))) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(s(X)) >= Marked_active(s(mark(X))) constraint: Marked_mark(zWadr(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(zWadr(X1,X2)) >= Marked_mark(X2) constraint: Marked_mark(zWadr(X1,X2)) >= Marked_active(zWadr(mark(X1),mark(X2))) constraint: Marked_mark(prefix(X)) >= Marked_active(prefix(mark(X))) constraint: Marked_active(prefix(L)) >= Marked_mark(cons(nil, zWadr(L,prefix(L)))) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(app(X1,X2)) >= active(app(mark(X1),mark(X2))) ; mark(nil) >= active(nil) ; mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(from(X)) >= active(from(mark(X))) ; mark(s(X)) >= active(s(mark(X))) ; mark(zWadr(X1,X2)) >= active(zWadr(mark(X1),mark(X2))) ; mark(prefix(X)) >= active(prefix(mark(X))) ; active(app(nil,YS)) >= mark(YS) ; active(app(cons(X,XS),YS)) >= mark(cons(X,app(XS,YS))) ; active(from(X)) >= mark(cons(X,from(s(X)))) ; active(zWadr(nil,YS)) >= mark(nil) ; active(zWadr(cons(X,XS),cons(Y,YS))) >= mark(cons(app(Y,cons(X,nil)), zWadr(XS,YS))) ; active(zWadr(XS,nil)) >= mark(nil) ; active(prefix(L)) >= mark(cons(nil,zWadr(L,prefix(L)))) ; app(mark(X1),X2) >= app(X1,X2) ; app(active(X1),X2) >= app(X1,X2) ; app(X1,mark(X2)) >= app(X1,X2) ; app(X1,active(X2)) >= app(X1,X2) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; from(mark(X)) >= from(X) ; from(active(X)) >= from(X) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; zWadr(mark(X1),X2) >= zWadr(X1,X2) ; zWadr(active(X1),X2) >= zWadr(X1,X2) ; zWadr(X1,mark(X2)) >= zWadr(X1,X2) ; zWadr(X1,active(X2)) >= zWadr(X1,X2) ; prefix(mark(X)) >= prefix(X) ; prefix(active(X)) >= prefix(X) ; Marked_mark(from(X)) >= Marked_active(from(mark(X))) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(s(X)) >= Marked_active(s(mark(X))) ; Marked_mark(zWadr(X1,X2)) >= Marked_mark(X1) ; Marked_mark(zWadr(X1,X2)) >= Marked_mark(X2) ; Marked_mark(prefix(X)) >= Marked_active(prefix(mark(X))) ; Marked_active(prefix(L)) >= Marked_mark(cons(nil,zWadr(L,prefix(L)))) ; } + Disjunctions:{ { Marked_mark(from(X)) > Marked_active(from(mark(X))) ; } { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(s(X)) > Marked_active(s(mark(X))) ; } { Marked_mark(zWadr(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(zWadr(X1,X2)) > Marked_mark(X2) ; } { Marked_mark(prefix(X)) > Marked_active(prefix(mark(X))) ; } { Marked_active(prefix(L)) > Marked_mark(cons(nil,zWadr(L,prefix(L)))) ; } } === 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 Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(app(X1,X2)) >= active(app(mark(X1),mark(X2))) constraint: mark(nil) >= active(nil) constraint: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(from(X)) >= active(from(mark(X))) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(zWadr(X1,X2)) >= active(zWadr(mark(X1),mark(X2))) constraint: mark(prefix(X)) >= active(prefix(mark(X))) constraint: active(app(nil,YS)) >= mark(YS) constraint: active(app(cons(X,XS),YS)) >= mark(cons(X,app(XS,YS))) constraint: active(from(X)) >= mark(cons(X,from(s(X)))) constraint: active(zWadr(nil,YS)) >= mark(nil) constraint: active(zWadr(cons(X,XS),cons(Y,YS))) >= mark(cons(app(Y, cons(X,nil)), zWadr(XS,YS))) constraint: active(zWadr(XS,nil)) >= mark(nil) constraint: active(prefix(L)) >= mark(cons(nil,zWadr(L,prefix(L)))) constraint: app(mark(X1),X2) >= app(X1,X2) constraint: app(active(X1),X2) >= app(X1,X2) constraint: app(X1,mark(X2)) >= app(X1,X2) constraint: app(X1,active(X2)) >= app(X1,X2) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: from(mark(X)) >= from(X) constraint: from(active(X)) >= from(X) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: zWadr(mark(X1),X2) >= zWadr(X1,X2) constraint: zWadr(active(X1),X2) >= zWadr(X1,X2) constraint: zWadr(X1,mark(X2)) >= zWadr(X1,X2) constraint: zWadr(X1,active(X2)) >= zWadr(X1,X2) constraint: prefix(mark(X)) >= prefix(X) constraint: prefix(active(X)) >= prefix(X) constraint: Marked_mark(from(X)) >= Marked_active(from(mark(X))) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(s(X)) >= Marked_active(s(mark(X))) constraint: Marked_mark(zWadr(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(zWadr(X1,X2)) >= Marked_mark(X2) constraint: Marked_mark(prefix(X)) >= Marked_active(prefix(mark(X))) constraint: Marked_active(prefix(L)) >= Marked_mark(cons(nil, zWadr(L,prefix(L)))) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) APPLY CRITERIA (Choosing graph) Trying to solve the following constraints: { mark(app(X1,X2)) >= active(app(mark(X1),mark(X2))) ; mark(nil) >= active(nil) ; mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) ; mark(from(X)) >= active(from(mark(X))) ; mark(s(X)) >= active(s(mark(X))) ; mark(zWadr(X1,X2)) >= active(zWadr(mark(X1),mark(X2))) ; mark(prefix(X)) >= active(prefix(mark(X))) ; active(app(nil,YS)) >= mark(YS) ; active(app(cons(X,XS),YS)) >= mark(cons(X,app(XS,YS))) ; active(from(X)) >= mark(cons(X,from(s(X)))) ; active(zWadr(nil,YS)) >= mark(nil) ; active(zWadr(cons(X,XS),cons(Y,YS))) >= mark(cons(app(Y,cons(X,nil)), zWadr(XS,YS))) ; active(zWadr(XS,nil)) >= mark(nil) ; active(prefix(L)) >= mark(cons(nil,zWadr(L,prefix(L)))) ; app(mark(X1),X2) >= app(X1,X2) ; app(active(X1),X2) >= app(X1,X2) ; app(X1,mark(X2)) >= app(X1,X2) ; app(X1,active(X2)) >= app(X1,X2) ; cons(mark(X1),X2) >= cons(X1,X2) ; cons(active(X1),X2) >= cons(X1,X2) ; cons(X1,mark(X2)) >= cons(X1,X2) ; cons(X1,active(X2)) >= cons(X1,X2) ; from(mark(X)) >= from(X) ; from(active(X)) >= from(X) ; s(mark(X)) >= s(X) ; s(active(X)) >= s(X) ; zWadr(mark(X1),X2) >= zWadr(X1,X2) ; zWadr(active(X1),X2) >= zWadr(X1,X2) ; zWadr(X1,mark(X2)) >= zWadr(X1,X2) ; zWadr(X1,active(X2)) >= zWadr(X1,X2) ; prefix(mark(X)) >= prefix(X) ; prefix(active(X)) >= prefix(X) ; Marked_mark(s(X)) >= Marked_mark(X) ; Marked_mark(zWadr(X1,X2)) >= Marked_mark(X1) ; Marked_mark(zWadr(X1,X2)) >= Marked_mark(X2) ; Marked_mark(prefix(X)) >= Marked_active(prefix(mark(X))) ; Marked_active(prefix(L)) >= Marked_mark(cons(nil,zWadr(L,prefix(L)))) ; } + Disjunctions:{ { Marked_mark(s(X)) > Marked_mark(X) ; } { Marked_mark(zWadr(X1,X2)) > Marked_mark(X1) ; } { Marked_mark(zWadr(X1,X2)) > Marked_mark(X2) ; } { Marked_mark(prefix(X)) > Marked_active(prefix(mark(X))) ; } { Marked_active(prefix(L)) > Marked_mark(cons(nil,zWadr(L,prefix(L)))) ; } } === 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 Sat solver result read === STOPING TIMER real === === STOPING TIMER virtual === constraint: mark(app(X1,X2)) >= active(app(mark(X1),mark(X2))) constraint: mark(nil) >= active(nil) constraint: mark(cons(X1,X2)) >= active(cons(mark(X1),X2)) constraint: mark(from(X)) >= active(from(mark(X))) constraint: mark(s(X)) >= active(s(mark(X))) constraint: mark(zWadr(X1,X2)) >= active(zWadr(mark(X1),mark(X2))) constraint: mark(prefix(X)) >= active(prefix(mark(X))) constraint: active(app(nil,YS)) >= mark(YS) constraint: active(app(cons(X,XS),YS)) >= mark(cons(X,app(XS,YS))) constraint: active(from(X)) >= mark(cons(X,from(s(X)))) constraint: active(zWadr(nil,YS)) >= mark(nil) constraint: active(zWadr(cons(X,XS),cons(Y,YS))) >= mark(cons(app(Y, cons(X,nil)), zWadr(XS,YS))) constraint: active(zWadr(XS,nil)) >= mark(nil) constraint: active(prefix(L)) >= mark(cons(nil,zWadr(L,prefix(L)))) constraint: app(mark(X1),X2) >= app(X1,X2) constraint: app(active(X1),X2) >= app(X1,X2) constraint: app(X1,mark(X2)) >= app(X1,X2) constraint: app(X1,active(X2)) >= app(X1,X2) constraint: cons(mark(X1),X2) >= cons(X1,X2) constraint: cons(active(X1),X2) >= cons(X1,X2) constraint: cons(X1,mark(X2)) >= cons(X1,X2) constraint: cons(X1,active(X2)) >= cons(X1,X2) constraint: from(mark(X)) >= from(X) constraint: from(active(X)) >= from(X) constraint: s(mark(X)) >= s(X) constraint: s(active(X)) >= s(X) constraint: zWadr(mark(X1),X2) >= zWadr(X1,X2) constraint: zWadr(active(X1),X2) >= zWadr(X1,X2) constraint: zWadr(X1,mark(X2)) >= zWadr(X1,X2) constraint: zWadr(X1,active(X2)) >= zWadr(X1,X2) constraint: prefix(mark(X)) >= prefix(X) constraint: prefix(active(X)) >= prefix(X) constraint: Marked_mark(s(X)) >= Marked_mark(X) constraint: Marked_mark(zWadr(X1,X2)) >= Marked_mark(X1) constraint: Marked_mark(zWadr(X1,X2)) >= Marked_mark(X2) constraint: Marked_mark(prefix(X)) >= Marked_active(prefix(mark(X))) constraint: Marked_active(prefix(L)) >= Marked_mark(cons(nil, zWadr(L,prefix(L)))) APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> --> --> --> --> --> } APPLY CRITERIA (Subterm criterion) ST: Marked_mark -> 1 APPLY CRITERIA (Graph splitting) Found 0 components: APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> } APPLY CRITERIA (Subterm criterion) ST: Marked_app -> 1 APPLY CRITERIA (Graph splitting) Found 0 components: APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> } APPLY CRITERIA (Subterm criterion) ST: Marked_cons -> 1 APPLY CRITERIA (Graph splitting) Found 0 components: APPLY CRITERIA (Graph splitting) Found 0 components: APPLY CRITERIA (Graph splitting) Found 0 components: APPLY CRITERIA (Graph splitting) Found 1 components: { --> --> --> --> } APPLY CRITERIA (Subterm criterion) ST: Marked_zWadr -> 1 APPLY CRITERIA (Graph splitting) Found 0 components: APPLY CRITERIA (Graph splitting) Found 0 components: SOLVED { TRS termination of: [1] active(app(nil,YS)) -> mark(YS) [2] active(app(cons(X,XS),YS)) -> mark(cons(X,app(XS,YS))) [3] active(from(X)) -> mark(cons(X,from(s(X)))) [4] active(zWadr(nil,YS)) -> mark(nil) [5] active(zWadr(XS,nil)) -> mark(nil) [6] active(zWadr(cons(X,XS),cons(Y,YS))) -> mark(cons(app(Y,cons(X,nil)),zWadr(XS,YS))) [7] active(prefix(L)) -> mark(cons(nil,zWadr(L,prefix(L)))) [8] mark(app(X1,X2)) -> active(app(mark(X1),mark(X2))) [9] mark(nil) -> active(nil) [10] mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) [11] mark(from(X)) -> active(from(mark(X))) [12] mark(s(X)) -> active(s(mark(X))) [13] mark(zWadr(X1,X2)) -> active(zWadr(mark(X1),mark(X2))) [14] mark(prefix(X)) -> active(prefix(mark(X))) [15] app(mark(X1),X2) -> app(X1,X2) [16] app(X1,mark(X2)) -> app(X1,X2) [17] app(active(X1),X2) -> app(X1,X2) [18] app(X1,active(X2)) -> app(X1,X2) [19] cons(mark(X1),X2) -> cons(X1,X2) [20] cons(X1,mark(X2)) -> cons(X1,X2) [21] cons(active(X1),X2) -> cons(X1,X2) [22] cons(X1,active(X2)) -> cons(X1,X2) [23] from(mark(X)) -> from(X) [24] from(active(X)) -> from(X) [25] s(mark(X)) -> s(X) [26] s(active(X)) -> s(X) [27] zWadr(mark(X1),X2) -> zWadr(X1,X2) [28] zWadr(X1,mark(X2)) -> zWadr(X1,X2) [29] zWadr(active(X1),X2) -> zWadr(X1,X2) [30] zWadr(X1,active(X2)) -> zWadr(X1,X2) [31] prefix(mark(X)) -> prefix(X) [32] prefix(active(X)) -> prefix(X) , CRITERION: MDP [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 1*X0; [ Marked_active ] (X0) = 2*X0 + 2; [ prefix ] (X0) = 2*X0 + 2; [ cons ] (X0,X1) = 1*X0 + 1; [ app ] (X0,X1) = 1*X1 + 1*X0; [ s ] (X0) = 1*X0; [ active ] (X0) = 1*X0; [ from ] (X0) = 1*X0 + 3; [ nil ] () = 1; [ zWadr ] (X0,X1) = 2*X1 + 1*X0; [ Marked_mark ] (X0) = 2*X0 + 2; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 1*X0; [ Marked_active ] (X0) = 2*X0; [ prefix ] (X0) = 3; [ cons ] (X0,X1) = 3; [ app ] (X0,X1) = 2*X1 + 3*X0 + 3; [ s ] (X0) = 1*X0; [ active ] (X0) = 1*X0; [ from ] (X0) = 3; [ nil ] () = 0; [ zWadr ] (X0,X1) = 2*X1 + 2*X0; [ Marked_mark ] (X0) = 2*X0; removing < Marked_mark(app(X1,X2)),Marked_mark(X1)> [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 1*X0; [ Marked_active ] (X0) = 2; [ prefix ] (X0) = 0; [ cons ] (X0,X1) = 0; [ app ] (X0,X1) = 2*X1 + 3; [ s ] (X0) = 1*X0; [ active ] (X0) = 1*X0; [ from ] (X0) = 0; [ nil ] () = 0; [ zWadr ] (X0,X1) = 2*X1 + 2*X0; [ Marked_mark ] (X0) = 2*X0 + 2; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 0; [ Marked_active ] (X0) = 2*X0; [ prefix ] (X0) = 1; [ cons ] (X0,X1) = 0; [ app ] (X0,X1) = 0; [ s ] (X0) = 1; [ active ] (X0) = 0; [ from ] (X0) = 1; [ nil ] () = 0; [ zWadr ] (X0,X1) = 0; [ Marked_mark ] (X0) = 2; removing < Marked_mark(zWadr(X1,X2)),Marked_active(zWadr(mark(X1),mark(X2)))> [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 0; [ Marked_active ] (X0) = 2*X0; [ prefix ] (X0) = 1; [ cons ] (X0,X1) = 0; [ app ] (X0,X1) = 0; [ s ] (X0) = 0; [ active ] (X0) = 0; [ from ] (X0) = 0; [ nil ] () = 0; [ zWadr ] (X0,X1) = 0; [ Marked_mark ] (X0) = 2; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: CG using polynomial interpretation = [ mark ] (X0) = 2*X0; [ Marked_active ] (X0) = 0; [ prefix ] (X0) = 1; [ cons ] (X0,X1) = 0; [ app ] (X0,X1) = 2*X1; [ s ] (X0) = 2*X0; [ active ] (X0) = 1*X0; [ from ] (X0) = 2; [ nil ] () = 0; [ zWadr ] (X0,X1) = 2*X1 + 1*X0; [ Marked_mark ] (X0) = 2*X0; removing [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: ST [ { DP termination of: , CRITERION: SG [ ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} ]} { DP termination of: , CRITERION: ST [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: ST [ { DP termination of: , CRITERION: SG [ ]} ]} ]} ]} { DP termination of: , CRITERION: ST [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: ST [ { DP termination of: , CRITERION: SG [ ]} ]} ]} ]} { DP termination of: , CRITERION: ST [ { DP termination of: , CRITERION: SG [ ]} ]} { DP termination of: , CRITERION: ST [ { DP termination of: , CRITERION: SG [ ]} ]} { DP termination of: , CRITERION: ST [ { DP termination of: , CRITERION: SG [ { DP termination of: , CRITERION: ST [ { DP termination of: , CRITERION: SG [ ]} ]} ]} ]} { DP termination of: , CRITERION: ST [ { DP termination of: , CRITERION: SG [ ]} ]} ]} ]} Cime worked for 1.495949 seconds (real time) Cime Exit Status: 0