Problem:
 active(__(__(X,Y),Z)) -> mark(__(X,__(Y,Z)))
 active(__(X,nil())) -> mark(X)
 active(__(nil(),X)) -> mark(X)
 active(U11(tt())) -> mark(U12(tt()))
 active(U12(tt())) -> mark(tt())
 active(isNePal(__(I,__(P,I)))) -> mark(U11(tt()))
 active(__(X1,X2)) -> __(active(X1),X2)
 active(__(X1,X2)) -> __(X1,active(X2))
 active(U11(X)) -> U11(active(X))
 active(U12(X)) -> U12(active(X))
 active(isNePal(X)) -> isNePal(active(X))
 __(mark(X1),X2) -> mark(__(X1,X2))
 __(X1,mark(X2)) -> mark(__(X1,X2))
 U11(mark(X)) -> mark(U11(X))
 U12(mark(X)) -> mark(U12(X))
 isNePal(mark(X)) -> mark(isNePal(X))
 proper(__(X1,X2)) -> __(proper(X1),proper(X2))
 proper(nil()) -> ok(nil())
 proper(U11(X)) -> U11(proper(X))
 proper(tt()) -> ok(tt())
 proper(U12(X)) -> U12(proper(X))
 proper(isNePal(X)) -> isNePal(proper(X))
 __(ok(X1),ok(X2)) -> ok(__(X1,X2))
 U11(ok(X)) -> ok(U11(X))
 U12(ok(X)) -> ok(U12(X))
 isNePal(ok(X)) -> ok(isNePal(X))
 top(mark(X)) -> top(proper(X))
 top(ok(X)) -> top(active(X))

Proof:
 Bounds Processor:
  bound: 2
  enrichment: match
  automaton:
   final states: {43,42,41,40,39,19,18,11,10,9,8,7,6,5}
   transitions:
    mark0(45) -> 1*
    mark0(20) -> 1*
    mark0(2) -> 1*
    mark0(44) -> 1*
    mark0(19) -> 1*
    mark0(4) -> 1*
    mark0(1) -> 1*
    mark0(3) -> 1*
    ok0(20) -> 4*
    ok0(44) -> 4*
    ok0(19) -> 4*
    ok0(4) -> 4*
    ok0(1) -> 4*
    ok0(3) -> 4*
    top0(45) -> 11*
    top0(20) -> 11*
    top0(2) -> 11*
    top0(44) -> 11*
    top0(19) -> 11*
    top0(4) -> 11*
    top0(1) -> 11*
    top0(3) -> 11*
    top1(10) -> 11*
    top1(39) -> 11*
    top1(19) -> 11*
    top1(18) -> 11*
    active1(20) -> 18*
    active1(44) -> 18*
    active1(19) -> 18*
    active1(4) -> 18*,5,10
    active1(1) -> 18*,5,10
    active1(3) -> 18*,5,10
    proper1(45) -> 10*
    proper1(20) -> 10*
    proper1(2) -> 10*
    proper1(44) -> 10*
    proper1(19) -> 10*
    proper1(4) -> 10*
    proper1(1) -> 10*
    proper1(3) -> 10*
    ok1(45) -> 19*
    ok1(40) -> 9*
    ok1(20) -> 4,19*
    ok1(42) -> 7*
    ok1(7) -> 7*
    ok1(2) -> 19*,4,10
    ok1(44) -> 19*
    ok1(9) -> 9*
    ok1(41) -> 8*
    ok1(6) -> 6*
    ok1(43) -> 6*
    ok1(8) -> 8*
    isNePal1(20) -> 9*
    isNePal1(44) -> 9*
    isNePal1(19) -> 9*
    isNePal1(4) -> 9*
    isNePal1(1) -> 9*
    isNePal1(3) -> 9*
    U121(20) -> 8*
    U121(44) -> 8*
    U121(19) -> 8*
    U121(4) -> 8*
    U121(1) -> 8*
    U121(3) -> 8*
    U111(20) -> 7*
    U111(44) -> 7*
    U111(19) -> 7*
    U111(4) -> 7*
    U111(1) -> 7*
    U111(3) -> 7*
    __1(2,20) -> 6*
    __1(3,1) -> 6*
    __1(3,3) -> 6*
    __1(1,45) -> 6*
    __1(44,2) -> 6*
    __1(44,4) -> 6*
    __1(19,2) -> 6*
    __1(3,19) -> 6*
    __1(19,4) -> 6*
    __1(4,2) -> 6*
    __1(4,4) -> 6*
    __1(2,44) -> 6*
    __1(44,20) -> 6*
    __1(45,1) -> 6*
    __1(45,3) -> 6*
    __1(19,20) -> 6*
    __1(20,1) -> 6*
    __1(20,3) -> 6*
    __1(4,20) -> 6*
    __1(3,45) -> 6*
    __1(45,19) -> 6*
    __1(20,19) -> 6*
    __1(44,44) -> 6*
    __1(19,44) -> 6*
    __1(1,2) -> 6*
    __1(4,44) -> 6*
    __1(1,4) -> 6*
    __1(1,20) -> 6*
    __1(2,1) -> 6*
    __1(20,45) -> 6*
    __1(2,3) -> 6*
    __1(2,19) -> 6*
    __1(3,2) -> 6*
    __1(3,4) -> 6*
    __1(1,44) -> 6*
    __1(44,1) -> 6*
    __1(44,3) -> 6*
    __1(19,1) -> 6*
    __1(19,3) -> 6*
    __1(3,20) -> 6*
    __1(4,1) -> 6*
    __1(4,3) -> 6*
    __1(44,19) -> 6*
    __1(45,4) -> 6*
    __1(19,19) -> 6*
    __1(20,2) -> 6*
    __1(4,19) -> 6*
    __1(20,4) -> 6*
    __1(3,44) -> 6*
    __1(45,20) -> 6*
    __1(20,20) -> 6*
    __1(44,45) -> 6*
    __1(1,1) -> 6*
    __1(19,45) -> 6*
    __1(1,3) -> 6*
    __1(4,45) -> 6*
    __1(45,44) -> 6*
    __1(1,19) -> 6*
    __1(20,44) -> 6*
    __1(2,4) -> 6*
    mark1(40) -> 9*
    mark1(42) -> 7*
    mark1(7) -> 7*
    mark1(9) -> 9*
    mark1(41) -> 8*
    mark1(6) -> 6*
    mark1(43) -> 6*
    mark1(8) -> 8*
    top2(37) -> 11*
    top2(39) -> 11*
    active2(45) -> 37,39*
    active2(20) -> 18,39*,37
    active2(2) -> 18,39*,10,5,37
    active2(44) -> 18,37,39*
    active2(21) -> 37*
    ok2(45) -> 19*,10
    ok2(40) -> 9*
    ok2(35) -> 8*
    ok2(42) -> 7*
    ok2(44) -> 19*,4,10
    ok2(41) -> 8*
    ok2(36) -> 9*
    ok2(31) -> 6*
    ok2(21) -> 10*
    ok2(43) -> 6*
    ok2(33) -> 7*
    isNePal2(45) -> 40*
    isNePal2(20) -> 40*,9,36
    isNePal2(2) -> 40*,9,36
    isNePal2(44) -> 9,40*
    U122(45) -> 41*
    U122(20) -> 41*,8,35
    U122(2) -> 41*,8,35
    U122(44) -> 8,41*
    U112(45) -> 42*
    U112(20) -> 42*,7,33
    U112(2) -> 42*,7,33
    U112(44) -> 7,42*
    __2(2,20) -> 43*,6,31
    __2(44,2) -> 6,43*
    __2(2,44) -> 6,43*
    __2(44,20) -> 6,43*
    __2(44,44) -> 6,43*
    __2(45,45) -> 43*
    __2(20,45) -> 6,43*
    __2(2,45) -> 43*
    __2(45,2) -> 43*
    __2(20,2) -> 43*,6,31
    __2(45,20) -> 6,43*
    __2(20,20) -> 43*,6,31
    __2(44,45) -> 6,43*
    __2(45,44) -> 6,43*
    __2(20,44) -> 6,43*
    __2(2,2) -> 43*,6,31
    tt2() -> 20,44*,2,3,21
    nil2() -> 45*,2,21
  problem:
   
  Qed