Problem:
 active(zeros()) -> mark(cons(0(),zeros()))
 active(U11(tt(),L)) -> mark(U12(tt(),L))
 active(U12(tt(),L)) -> mark(s(length(L)))
 active(U21(tt(),IL,M,N)) -> mark(U22(tt(),IL,M,N))
 active(U22(tt(),IL,M,N)) -> mark(U23(tt(),IL,M,N))
 active(U23(tt(),IL,M,N)) -> mark(cons(N,take(M,IL)))
 active(length(nil())) -> mark(0())
 active(length(cons(N,L))) -> mark(U11(tt(),L))
 active(take(0(),IL)) -> mark(nil())
 active(take(s(M),cons(N,IL))) -> mark(U21(tt(),IL,M,N))
 mark(zeros()) -> active(zeros())
 mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
 mark(0()) -> active(0())
 mark(U11(X1,X2)) -> active(U11(mark(X1),X2))
 mark(tt()) -> active(tt())
 mark(U12(X1,X2)) -> active(U12(mark(X1),X2))
 mark(s(X)) -> active(s(mark(X)))
 mark(length(X)) -> active(length(mark(X)))
 mark(U21(X1,X2,X3,X4)) -> active(U21(mark(X1),X2,X3,X4))
 mark(U22(X1,X2,X3,X4)) -> active(U22(mark(X1),X2,X3,X4))
 mark(U23(X1,X2,X3,X4)) -> active(U23(mark(X1),X2,X3,X4))
 mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
 mark(nil()) -> active(nil())
 cons(mark(X1),X2) -> cons(X1,X2)
 cons(X1,mark(X2)) -> cons(X1,X2)
 cons(active(X1),X2) -> cons(X1,X2)
 cons(X1,active(X2)) -> cons(X1,X2)
 U11(mark(X1),X2) -> U11(X1,X2)
 U11(X1,mark(X2)) -> U11(X1,X2)
 U11(active(X1),X2) -> U11(X1,X2)
 U11(X1,active(X2)) -> U11(X1,X2)
 U12(mark(X1),X2) -> U12(X1,X2)
 U12(X1,mark(X2)) -> U12(X1,X2)
 U12(active(X1),X2) -> U12(X1,X2)
 U12(X1,active(X2)) -> U12(X1,X2)
 s(mark(X)) -> s(X)
 s(active(X)) -> s(X)
 length(mark(X)) -> length(X)
 length(active(X)) -> length(X)
 U21(mark(X1),X2,X3,X4) -> U21(X1,X2,X3,X4)
 U21(X1,mark(X2),X3,X4) -> U21(X1,X2,X3,X4)
 U21(X1,X2,mark(X3),X4) -> U21(X1,X2,X3,X4)
 U21(X1,X2,X3,mark(X4)) -> U21(X1,X2,X3,X4)
 U21(active(X1),X2,X3,X4) -> U21(X1,X2,X3,X4)
 U21(X1,active(X2),X3,X4) -> U21(X1,X2,X3,X4)
 U21(X1,X2,active(X3),X4) -> U21(X1,X2,X3,X4)
 U21(X1,X2,X3,active(X4)) -> U21(X1,X2,X3,X4)
 U22(mark(X1),X2,X3,X4) -> U22(X1,X2,X3,X4)
 U22(X1,mark(X2),X3,X4) -> U22(X1,X2,X3,X4)
 U22(X1,X2,mark(X3),X4) -> U22(X1,X2,X3,X4)
 U22(X1,X2,X3,mark(X4)) -> U22(X1,X2,X3,X4)
 U22(active(X1),X2,X3,X4) -> U22(X1,X2,X3,X4)
 U22(X1,active(X2),X3,X4) -> U22(X1,X2,X3,X4)
 U22(X1,X2,active(X3),X4) -> U22(X1,X2,X3,X4)
 U22(X1,X2,X3,active(X4)) -> U22(X1,X2,X3,X4)
 U23(mark(X1),X2,X3,X4) -> U23(X1,X2,X3,X4)
 U23(X1,mark(X2),X3,X4) -> U23(X1,X2,X3,X4)
 U23(X1,X2,mark(X3),X4) -> U23(X1,X2,X3,X4)
 U23(X1,X2,X3,mark(X4)) -> U23(X1,X2,X3,X4)
 U23(active(X1),X2,X3,X4) -> U23(X1,X2,X3,X4)
 U23(X1,active(X2),X3,X4) -> U23(X1,X2,X3,X4)
 U23(X1,X2,active(X3),X4) -> U23(X1,X2,X3,X4)
 U23(X1,X2,X3,active(X4)) -> U23(X1,X2,X3,X4)
 take(mark(X1),X2) -> take(X1,X2)
 take(X1,mark(X2)) -> take(X1,X2)
 take(active(X1),X2) -> take(X1,X2)
 take(X1,active(X2)) -> take(X1,X2)

Proof:
 Bounds Processor:
  bound: 4
  enrichment: match
  automaton:
   final states: {15,14,13,12,11,10,9,8,7,6,5}
   transitions:
    active1(20) -> 6*
    active1(19) -> 6*
    nil1() -> 19*
    tt1() -> 19*
    01() -> 20*
    zeros1() -> 19*
    mark1(21) -> 5*
    cons1(20,19) -> 21*
    active2(31) -> 5*
    active2(23) -> 30*
    cons2(30,19) -> 31*
    cons2(23,22) -> 24*
    mark2(20) -> 30*
    mark2(24) -> 6*
    02() -> 23*
    zeros2() -> 22*
    cons3(32,22) -> 33*
    cons3(23,19) -> 31*
    cons3(20,19) -> 31*
    active3(37) -> 32*
    active3(33) -> 6*
    mark3(23) -> 32*
    cons4(37,22) -> 33*
    cons4(23,22) -> 33*
    active0(2) -> 5*
    active0(4) -> 5*
    active0(1) -> 5*
    active0(3) -> 5*
    03() -> 37*
    zeros0() -> 1*
    mark0(2) -> 6*
    mark0(4) -> 6*
    mark0(1) -> 6*
    mark0(3) -> 6*
    cons0(3,1) -> 7*
    cons0(3,3) -> 7*
    cons0(4,2) -> 7*
    cons0(4,4) -> 7*
    cons0(1,2) -> 7*
    cons0(1,4) -> 7*
    cons0(2,1) -> 7*
    cons0(2,3) -> 7*
    cons0(3,2) -> 7*
    cons0(3,4) -> 7*
    cons0(4,1) -> 7*
    cons0(4,3) -> 7*
    cons0(1,1) -> 7*
    cons0(1,3) -> 7*
    cons0(2,2) -> 7*
    cons0(2,4) -> 7*
    00() -> 2*
    U110(3,1) -> 8*
    U110(3,3) -> 8*
    U110(4,2) -> 8*
    U110(4,4) -> 8*
    U110(1,2) -> 8*
    U110(1,4) -> 8*
    U110(2,1) -> 8*
    U110(2,3) -> 8*
    U110(3,2) -> 8*
    U110(3,4) -> 8*
    U110(4,1) -> 8*
    U110(4,3) -> 8*
    U110(1,1) -> 8*
    U110(1,3) -> 8*
    U110(2,2) -> 8*
    U110(2,4) -> 8*
    tt0() -> 3*
    U120(3,1) -> 9*
    U120(3,3) -> 9*
    U120(4,2) -> 9*
    U120(4,4) -> 9*
    U120(1,2) -> 9*
    U120(1,4) -> 9*
    U120(2,1) -> 9*
    U120(2,3) -> 9*
    U120(3,2) -> 9*
    U120(3,4) -> 9*
    U120(4,1) -> 9*
    U120(4,3) -> 9*
    U120(1,1) -> 9*
    U120(1,3) -> 9*
    U120(2,2) -> 9*
    U120(2,4) -> 9*
    s0(2) -> 10*
    s0(4) -> 10*
    s0(1) -> 10*
    s0(3) -> 10*
    length0(2) -> 11*
    length0(4) -> 11*
    length0(1) -> 11*
    length0(3) -> 11*
    U210(2,4,4,2) -> 12*
    U210(2,1,1,3) -> 12*
    U210(2,3,1,3) -> 12*
    U210(3,1,4,4) -> 12*
    U210(1,2,3,2) -> 12*
    U210(2,1,4,1) -> 12*
    U210(3,3,4,4) -> 12*
    U210(1,4,3,2) -> 12*
    U210(2,3,4,1) -> 12*
    U210(4,1,2,4) -> 12*
    U210(2,1,3,4) -> 12*
    U210(2,2,1,2) -> 12*
    U210(1,1,3,1) -> 12*
    U210(4,3,2,4) -> 12*
    U210(2,3,3,4) -> 12*
    U210(2,4,1,2) -> 12*
    U210(3,2,4,3) -> 12*
    U210(1,3,3,1) -> 12*
    U210(3,4,4,3) -> 12*
    U210(3,1,1,4) -> 12*
    U210(2,1,1,1) -> 12*
    U210(3,3,1,4) -> 12*
    U210(2,2,3,3) -> 12*
    U210(2,3,1,1) -> 12*
    U210(3,1,4,2) -> 12*
    U210(2,4,3,3) -> 12*
    U210(3,3,4,2) -> 12*
    U210(3,2,1,3) -> 12*
    U210(1,2,2,3) -> 12*
    U210(2,1,3,2) -> 12*
    U210(3,4,1,3) -> 12*
    U210(1,4,2,3) -> 12*
    U210(4,2,4,4) -> 12*
    U210(2,3,3,2) -> 12*
    U210(3,2,4,1) -> 12*
    U210(4,4,4,4) -> 12*
    U210(3,4,4,1) -> 12*
    U210(3,1,1,2) -> 12*
    U210(1,1,2,2) -> 12*
    U210(3,2,3,4) -> 12*
    U210(3,3,1,2) -> 12*
    U210(1,3,2,2) -> 12*
    U210(4,1,4,3) -> 12*
    U210(2,2,3,1) -> 12*
    U210(3,4,3,4) -> 12*
    U210(4,3,4,3) -> 12*
    U210(2,4,3,1) -> 12*
    U210(4,2,1,4) -> 12*
    U210(3,1,3,3) -> 12*
    U210(3,2,1,1) -> 12*
    U210(1,2,2,1) -> 12*
    U210(4,4,1,4) -> 12*
    U210(3,3,3,3) -> 12*
    U210(3,4,1,1) -> 12*
    U210(1,4,2,1) -> 12*
    U210(4,2,4,2) -> 12*
    U210(4,4,4,2) -> 12*
    U210(4,1,1,3) -> 12*
    U210(2,1,2,3) -> 12*
    U210(4,3,1,3) -> 12*
    U210(2,3,2,3) -> 12*
    U210(3,2,3,2) -> 12*
    U210(4,1,4,1) -> 12*
    U210(3,4,3,2) -> 12*
    U210(4,3,4,1) -> 12*
    U210(4,1,3,4) -> 12*
    U210(4,2,1,2) -> 12*
    U210(2,2,2,2) -> 12*
    U210(1,1,2,4) -> 12*
    U210(3,1,3,1) -> 12*
    U210(4,3,3,4) -> 12*
    U210(4,4,1,2) -> 12*
    U210(2,4,2,2) -> 12*
    U210(1,3,2,4) -> 12*
    U210(3,3,3,1) -> 12*
    U210(4,1,1,1) -> 12*
    U210(2,1,2,1) -> 12*
    U210(4,2,3,3) -> 12*
    U210(4,3,1,1) -> 12*
    U210(2,3,2,1) -> 12*
    U210(4,4,3,3) -> 12*
    U210(3,2,2,3) -> 12*
    U210(4,1,3,2) -> 12*
    U210(3,4,2,3) -> 12*
    U210(4,3,3,2) -> 12*
    U210(1,2,4,4) -> 12*
    U210(1,4,4,4) -> 12*
    U210(3,1,2,2) -> 12*
    U210(3,3,2,2) -> 12*
    U210(2,2,2,4) -> 12*
    U210(4,2,3,1) -> 12*
    U210(1,1,4,3) -> 12*
    U210(2,4,2,4) -> 12*
    U210(4,4,3,1) -> 12*
    U210(1,3,4,3) -> 12*
    U210(1,2,1,4) -> 12*
    U210(3,2,2,1) -> 12*
    U210(1,4,1,4) -> 12*
    U210(3,4,2,1) -> 12*
    U210(1,2,4,2) -> 12*
    U210(4,1,2,3) -> 12*
    U210(1,4,4,2) -> 12*
    U210(1,1,1,3) -> 12*
    U210(4,3,2,3) -> 12*
    U210(1,3,1,3) -> 12*
    U210(2,1,4,4) -> 12*
    U210(1,1,4,1) -> 12*
    U210(2,3,4,4) -> 12*
    U210(1,3,4,1) -> 12*
    U210(4,2,2,2) -> 12*
    U210(3,1,2,4) -> 12*
    U210(1,1,3,4) -> 12*
    U210(1,2,1,2) -> 12*
    U210(4,4,2,2) -> 12*
    U210(3,3,2,4) -> 12*
    U210(1,3,3,4) -> 12*
    U210(1,4,1,2) -> 12*
    U210(2,2,4,3) -> 12*
    U210(2,4,4,3) -> 12*
    U210(2,1,1,4) -> 12*
    U210(4,1,2,1) -> 12*
    U210(1,1,1,1) -> 12*
    U210(2,3,1,4) -> 12*
    U210(4,3,2,1) -> 12*
    U210(1,2,3,3) -> 12*
    U210(1,3,1,1) -> 12*
    U210(2,1,4,2) -> 12*
    U210(1,4,3,3) -> 12*
    U210(2,3,4,2) -> 12*
    U210(2,2,1,3) -> 12*
    U210(1,1,3,2) -> 12*
    U210(2,4,1,3) -> 12*
    U210(3,2,4,4) -> 12*
    U210(1,3,3,2) -> 12*
    U210(2,2,4,1) -> 12*
    U210(3,4,4,4) -> 12*
    U210(2,4,4,1) -> 12*
    U210(2,1,1,2) -> 12*
    U210(4,2,2,4) -> 12*
    U210(2,2,3,4) -> 12*
    U210(2,3,1,2) -> 12*
    U210(3,1,4,3) -> 12*
    U210(1,2,3,1) -> 12*
    U210(4,4,2,4) -> 12*
    U210(2,4,3,4) -> 12*
    U210(3,3,4,3) -> 12*
    U210(1,4,3,1) -> 12*
    U210(3,2,1,4) -> 12*
    U210(2,1,3,3) -> 12*
    U210(2,2,1,1) -> 12*
    U210(3,4,1,4) -> 12*
    U210(2,3,3,3) -> 12*
    U210(2,4,1,1) -> 12*
    U210(3,2,4,2) -> 12*
    U210(3,4,4,2) -> 12*
    U210(3,1,1,3) -> 12*
    U210(1,1,2,3) -> 12*
    U210(3,3,1,3) -> 12*
    U210(1,3,2,3) -> 12*
    U210(4,1,4,4) -> 12*
    U210(2,2,3,2) -> 12*
    U210(3,1,4,1) -> 12*
    U210(4,3,4,4) -> 12*
    U210(2,4,3,2) -> 12*
    U210(3,3,4,1) -> 12*
    U210(3,1,3,4) -> 12*
    U210(3,2,1,2) -> 12*
    U210(1,2,2,2) -> 12*
    U210(2,1,3,1) -> 12*
    U210(3,3,3,4) -> 12*
    U210(3,4,1,2) -> 12*
    U210(1,4,2,2) -> 12*
    U210(4,2,4,3) -> 12*
    U210(2,3,3,1) -> 12*
    U210(4,4,4,3) -> 12*
    U210(4,1,1,4) -> 12*
    U210(3,1,1,1) -> 12*
    U210(1,1,2,1) -> 12*
    U210(4,3,1,4) -> 12*
    U210(3,2,3,3) -> 12*
    U210(3,3,1,1) -> 12*
    U210(1,3,2,1) -> 12*
    U210(4,1,4,2) -> 12*
    U210(3,4,3,3) -> 12*
    U210(4,3,4,2) -> 12*
    U210(4,2,1,3) -> 12*
    U210(2,2,2,3) -> 12*
    U210(3,1,3,2) -> 12*
    U210(4,4,1,3) -> 12*
    U210(2,4,2,3) -> 12*
    U210(3,3,3,2) -> 12*
    U210(4,2,4,1) -> 12*
    U210(4,4,4,1) -> 12*
    U210(4,1,1,2) -> 12*
    U210(2,1,2,2) -> 12*
    U210(4,2,3,4) -> 12*
    U210(4,3,1,2) -> 12*
    U210(2,3,2,2) -> 12*
    U210(1,2,2,4) -> 12*
    U210(3,2,3,1) -> 12*
    U210(4,4,3,4) -> 12*
    U210(1,4,2,4) -> 12*
    U210(3,4,3,1) -> 12*
    U210(4,1,3,3) -> 12*
    U210(4,2,1,1) -> 12*
    U210(2,2,2,1) -> 12*
    U210(4,3,3,3) -> 12*
    U210(4,4,1,1) -> 12*
    U210(2,4,2,1) -> 12*
    U210(3,1,2,3) -> 12*
    U210(3,3,2,3) -> 12*
    U210(4,2,3,2) -> 12*
    U210(1,1,4,4) -> 12*
    U210(4,4,3,2) -> 12*
    U210(1,3,4,4) -> 12*
    U210(3,2,2,2) -> 12*
    U210(2,1,2,4) -> 12*
    U210(4,1,3,1) -> 12*
    U210(3,4,2,2) -> 12*
    U210(2,3,2,4) -> 12*
    U210(4,3,3,1) -> 12*
    U210(1,2,4,3) -> 12*
    U210(1,4,4,3) -> 12*
    U210(1,1,1,4) -> 12*
    U210(3,1,2,1) -> 12*
    U210(1,3,1,4) -> 12*
    U210(3,3,2,1) -> 12*
    U210(1,1,4,2) -> 12*
    U210(1,3,4,2) -> 12*
    U210(4,2,2,3) -> 12*
    U210(1,2,1,3) -> 12*
    U210(4,4,2,3) -> 12*
    U210(1,4,1,3) -> 12*
    U210(2,2,4,4) -> 12*
    U210(1,2,4,1) -> 12*
    U210(2,4,4,4) -> 12*
    U210(4,1,2,2) -> 12*
    U210(1,4,4,1) -> 12*
    U210(1,1,1,2) -> 12*
    U210(4,3,2,2) -> 12*
    U210(3,2,2,4) -> 12*
    U210(1,2,3,4) -> 12*
    U210(1,3,1,2) -> 12*
    U210(2,1,4,3) -> 12*
    U210(3,4,2,4) -> 12*
    U210(1,4,3,4) -> 12*
    U210(2,3,4,3) -> 12*
    U210(2,2,1,4) -> 12*
    U210(4,2,2,1) -> 12*
    U210(1,1,3,3) -> 12*
    U210(1,2,1,1) -> 12*
    U210(2,4,1,4) -> 12*
    U210(4,4,2,1) -> 12*
    U210(1,3,3,3) -> 12*
    U210(1,4,1,1) -> 12*
    U210(2,2,4,2) -> 12*
    U220(2,4,4,2) -> 13*
    U220(2,1,1,3) -> 13*
    U220(2,3,1,3) -> 13*
    U220(3,1,4,4) -> 13*
    U220(1,2,3,2) -> 13*
    U220(2,1,4,1) -> 13*
    U220(3,3,4,4) -> 13*
    U220(1,4,3,2) -> 13*
    U220(2,3,4,1) -> 13*
    U220(4,1,2,4) -> 13*
    U220(2,1,3,4) -> 13*
    U220(2,2,1,2) -> 13*
    U220(1,1,3,1) -> 13*
    U220(4,3,2,4) -> 13*
    U220(2,3,3,4) -> 13*
    U220(2,4,1,2) -> 13*
    U220(3,2,4,3) -> 13*
    U220(1,3,3,1) -> 13*
    U220(3,4,4,3) -> 13*
    U220(3,1,1,4) -> 13*
    U220(2,1,1,1) -> 13*
    U220(3,3,1,4) -> 13*
    U220(2,2,3,3) -> 13*
    U220(2,3,1,1) -> 13*
    U220(3,1,4,2) -> 13*
    U220(2,4,3,3) -> 13*
    U220(3,3,4,2) -> 13*
    U220(3,2,1,3) -> 13*
    U220(1,2,2,3) -> 13*
    U220(2,1,3,2) -> 13*
    U220(3,4,1,3) -> 13*
    U220(1,4,2,3) -> 13*
    U220(4,2,4,4) -> 13*
    U220(2,3,3,2) -> 13*
    U220(3,2,4,1) -> 13*
    U220(4,4,4,4) -> 13*
    U220(3,4,4,1) -> 13*
    U220(3,1,1,2) -> 13*
    U220(1,1,2,2) -> 13*
    U220(3,2,3,4) -> 13*
    U220(3,3,1,2) -> 13*
    U220(1,3,2,2) -> 13*
    U220(4,1,4,3) -> 13*
    U220(2,2,3,1) -> 13*
    U220(3,4,3,4) -> 13*
    U220(4,3,4,3) -> 13*
    U220(2,4,3,1) -> 13*
    U220(4,2,1,4) -> 13*
    U220(3,1,3,3) -> 13*
    U220(3,2,1,1) -> 13*
    U220(1,2,2,1) -> 13*
    U220(4,4,1,4) -> 13*
    U220(3,3,3,3) -> 13*
    U220(3,4,1,1) -> 13*
    U220(1,4,2,1) -> 13*
    U220(4,2,4,2) -> 13*
    U220(4,4,4,2) -> 13*
    U220(4,1,1,3) -> 13*
    U220(2,1,2,3) -> 13*
    U220(4,3,1,3) -> 13*
    U220(2,3,2,3) -> 13*
    U220(3,2,3,2) -> 13*
    U220(4,1,4,1) -> 13*
    U220(3,4,3,2) -> 13*
    U220(4,3,4,1) -> 13*
    U220(4,1,3,4) -> 13*
    U220(4,2,1,2) -> 13*
    U220(2,2,2,2) -> 13*
    U220(1,1,2,4) -> 13*
    U220(3,1,3,1) -> 13*
    U220(4,3,3,4) -> 13*
    U220(4,4,1,2) -> 13*
    U220(2,4,2,2) -> 13*
    U220(1,3,2,4) -> 13*
    U220(3,3,3,1) -> 13*
    U220(4,1,1,1) -> 13*
    U220(2,1,2,1) -> 13*
    U220(4,2,3,3) -> 13*
    U220(4,3,1,1) -> 13*
    U220(2,3,2,1) -> 13*
    U220(4,4,3,3) -> 13*
    U220(3,2,2,3) -> 13*
    U220(4,1,3,2) -> 13*
    U220(3,4,2,3) -> 13*
    U220(4,3,3,2) -> 13*
    U220(1,2,4,4) -> 13*
    U220(1,4,4,4) -> 13*
    U220(3,1,2,2) -> 13*
    U220(3,3,2,2) -> 13*
    U220(2,2,2,4) -> 13*
    U220(4,2,3,1) -> 13*
    U220(1,1,4,3) -> 13*
    U220(2,4,2,4) -> 13*
    U220(4,4,3,1) -> 13*
    U220(1,3,4,3) -> 13*
    U220(1,2,1,4) -> 13*
    U220(3,2,2,1) -> 13*
    U220(1,4,1,4) -> 13*
    U220(3,4,2,1) -> 13*
    U220(1,2,4,2) -> 13*
    U220(4,1,2,3) -> 13*
    U220(1,4,4,2) -> 13*
    U220(1,1,1,3) -> 13*
    U220(4,3,2,3) -> 13*
    U220(1,3,1,3) -> 13*
    U220(2,1,4,4) -> 13*
    U220(1,1,4,1) -> 13*
    U220(2,3,4,4) -> 13*
    U220(1,3,4,1) -> 13*
    U220(4,2,2,2) -> 13*
    U220(3,1,2,4) -> 13*
    U220(1,1,3,4) -> 13*
    U220(1,2,1,2) -> 13*
    U220(4,4,2,2) -> 13*
    U220(3,3,2,4) -> 13*
    U220(1,3,3,4) -> 13*
    U220(1,4,1,2) -> 13*
    U220(2,2,4,3) -> 13*
    U220(2,4,4,3) -> 13*
    U220(2,1,1,4) -> 13*
    U220(4,1,2,1) -> 13*
    U220(1,1,1,1) -> 13*
    U220(2,3,1,4) -> 13*
    U220(4,3,2,1) -> 13*
    U220(1,2,3,3) -> 13*
    U220(1,3,1,1) -> 13*
    U220(2,1,4,2) -> 13*
    U220(1,4,3,3) -> 13*
    U220(2,3,4,2) -> 13*
    U220(2,2,1,3) -> 13*
    U220(1,1,3,2) -> 13*
    U220(2,4,1,3) -> 13*
    U220(3,2,4,4) -> 13*
    U220(1,3,3,2) -> 13*
    U220(2,2,4,1) -> 13*
    U220(3,4,4,4) -> 13*
    U220(2,4,4,1) -> 13*
    U220(2,1,1,2) -> 13*
    U220(4,2,2,4) -> 13*
    U220(2,2,3,4) -> 13*
    U220(2,3,1,2) -> 13*
    U220(3,1,4,3) -> 13*
    U220(1,2,3,1) -> 13*
    U220(4,4,2,4) -> 13*
    U220(2,4,3,4) -> 13*
    U220(3,3,4,3) -> 13*
    U220(1,4,3,1) -> 13*
    U220(3,2,1,4) -> 13*
    U220(2,1,3,3) -> 13*
    U220(2,2,1,1) -> 13*
    U220(3,4,1,4) -> 13*
    U220(2,3,3,3) -> 13*
    U220(2,4,1,1) -> 13*
    U220(3,2,4,2) -> 13*
    U220(3,4,4,2) -> 13*
    U220(3,1,1,3) -> 13*
    U220(1,1,2,3) -> 13*
    U220(3,3,1,3) -> 13*
    U220(1,3,2,3) -> 13*
    U220(4,1,4,4) -> 13*
    U220(2,2,3,2) -> 13*
    U220(3,1,4,1) -> 13*
    U220(4,3,4,4) -> 13*
    U220(2,4,3,2) -> 13*
    U220(3,3,4,1) -> 13*
    U220(3,1,3,4) -> 13*
    U220(3,2,1,2) -> 13*
    U220(1,2,2,2) -> 13*
    U220(2,1,3,1) -> 13*
    U220(3,3,3,4) -> 13*
    U220(3,4,1,2) -> 13*
    U220(1,4,2,2) -> 13*
    U220(4,2,4,3) -> 13*
    U220(2,3,3,1) -> 13*
    U220(4,4,4,3) -> 13*
    U220(4,1,1,4) -> 13*
    U220(3,1,1,1) -> 13*
    U220(1,1,2,1) -> 13*
    U220(4,3,1,4) -> 13*
    U220(3,2,3,3) -> 13*
    U220(3,3,1,1) -> 13*
    U220(1,3,2,1) -> 13*
    U220(4,1,4,2) -> 13*
    U220(3,4,3,3) -> 13*
    U220(4,3,4,2) -> 13*
    U220(4,2,1,3) -> 13*
    U220(2,2,2,3) -> 13*
    U220(3,1,3,2) -> 13*
    U220(4,4,1,3) -> 13*
    U220(2,4,2,3) -> 13*
    U220(3,3,3,2) -> 13*
    U220(4,2,4,1) -> 13*
    U220(4,4,4,1) -> 13*
    U220(4,1,1,2) -> 13*
    U220(2,1,2,2) -> 13*
    U220(4,2,3,4) -> 13*
    U220(4,3,1,2) -> 13*
    U220(2,3,2,2) -> 13*
    U220(1,2,2,4) -> 13*
    U220(3,2,3,1) -> 13*
    U220(4,4,3,4) -> 13*
    U220(1,4,2,4) -> 13*
    U220(3,4,3,1) -> 13*
    U220(4,1,3,3) -> 13*
    U220(4,2,1,1) -> 13*
    U220(2,2,2,1) -> 13*
    U220(4,3,3,3) -> 13*
    U220(4,4,1,1) -> 13*
    U220(2,4,2,1) -> 13*
    U220(3,1,2,3) -> 13*
    U220(3,3,2,3) -> 13*
    U220(4,2,3,2) -> 13*
    U220(1,1,4,4) -> 13*
    U220(4,4,3,2) -> 13*
    U220(1,3,4,4) -> 13*
    U220(3,2,2,2) -> 13*
    U220(2,1,2,4) -> 13*
    U220(4,1,3,1) -> 13*
    U220(3,4,2,2) -> 13*
    U220(2,3,2,4) -> 13*
    U220(4,3,3,1) -> 13*
    U220(1,2,4,3) -> 13*
    U220(1,4,4,3) -> 13*
    U220(1,1,1,4) -> 13*
    U220(3,1,2,1) -> 13*
    U220(1,3,1,4) -> 13*
    U220(3,3,2,1) -> 13*
    U220(1,1,4,2) -> 13*
    U220(1,3,4,2) -> 13*
    U220(4,2,2,3) -> 13*
    U220(1,2,1,3) -> 13*
    U220(4,4,2,3) -> 13*
    U220(1,4,1,3) -> 13*
    U220(2,2,4,4) -> 13*
    U220(1,2,4,1) -> 13*
    U220(2,4,4,4) -> 13*
    U220(4,1,2,2) -> 13*
    U220(1,4,4,1) -> 13*
    U220(1,1,1,2) -> 13*
    U220(4,3,2,2) -> 13*
    U220(3,2,2,4) -> 13*
    U220(1,2,3,4) -> 13*
    U220(1,3,1,2) -> 13*
    U220(2,1,4,3) -> 13*
    U220(3,4,2,4) -> 13*
    U220(1,4,3,4) -> 13*
    U220(2,3,4,3) -> 13*
    U220(2,2,1,4) -> 13*
    U220(4,2,2,1) -> 13*
    U220(1,1,3,3) -> 13*
    U220(1,2,1,1) -> 13*
    U220(2,4,1,4) -> 13*
    U220(4,4,2,1) -> 13*
    U220(1,3,3,3) -> 13*
    U220(1,4,1,1) -> 13*
    U220(2,2,4,2) -> 13*
    U230(2,4,4,2) -> 14*
    U230(2,1,1,3) -> 14*
    U230(2,3,1,3) -> 14*
    U230(3,1,4,4) -> 14*
    U230(1,2,3,2) -> 14*
    U230(2,1,4,1) -> 14*
    U230(3,3,4,4) -> 14*
    U230(1,4,3,2) -> 14*
    U230(2,3,4,1) -> 14*
    U230(4,1,2,4) -> 14*
    U230(2,1,3,4) -> 14*
    U230(2,2,1,2) -> 14*
    U230(1,1,3,1) -> 14*
    U230(4,3,2,4) -> 14*
    U230(2,3,3,4) -> 14*
    U230(2,4,1,2) -> 14*
    U230(3,2,4,3) -> 14*
    U230(1,3,3,1) -> 14*
    U230(3,4,4,3) -> 14*
    U230(3,1,1,4) -> 14*
    U230(2,1,1,1) -> 14*
    U230(3,3,1,4) -> 14*
    U230(2,2,3,3) -> 14*
    U230(2,3,1,1) -> 14*
    U230(3,1,4,2) -> 14*
    U230(2,4,3,3) -> 14*
    U230(3,3,4,2) -> 14*
    U230(3,2,1,3) -> 14*
    U230(1,2,2,3) -> 14*
    U230(2,1,3,2) -> 14*
    U230(3,4,1,3) -> 14*
    U230(1,4,2,3) -> 14*
    U230(4,2,4,4) -> 14*
    U230(2,3,3,2) -> 14*
    U230(3,2,4,1) -> 14*
    U230(4,4,4,4) -> 14*
    U230(3,4,4,1) -> 14*
    U230(3,1,1,2) -> 14*
    U230(1,1,2,2) -> 14*
    U230(3,2,3,4) -> 14*
    U230(3,3,1,2) -> 14*
    U230(1,3,2,2) -> 14*
    U230(4,1,4,3) -> 14*
    U230(2,2,3,1) -> 14*
    U230(3,4,3,4) -> 14*
    U230(4,3,4,3) -> 14*
    U230(2,4,3,1) -> 14*
    U230(4,2,1,4) -> 14*
    U230(3,1,3,3) -> 14*
    U230(3,2,1,1) -> 14*
    U230(1,2,2,1) -> 14*
    U230(4,4,1,4) -> 14*
    U230(3,3,3,3) -> 14*
    U230(3,4,1,1) -> 14*
    U230(1,4,2,1) -> 14*
    U230(4,2,4,2) -> 14*
    U230(4,4,4,2) -> 14*
    U230(4,1,1,3) -> 14*
    U230(2,1,2,3) -> 14*
    U230(4,3,1,3) -> 14*
    U230(2,3,2,3) -> 14*
    U230(3,2,3,2) -> 14*
    U230(4,1,4,1) -> 14*
    U230(3,4,3,2) -> 14*
    U230(4,3,4,1) -> 14*
    U230(4,1,3,4) -> 14*
    U230(4,2,1,2) -> 14*
    U230(2,2,2,2) -> 14*
    U230(1,1,2,4) -> 14*
    U230(3,1,3,1) -> 14*
    U230(4,3,3,4) -> 14*
    U230(4,4,1,2) -> 14*
    U230(2,4,2,2) -> 14*
    U230(1,3,2,4) -> 14*
    U230(3,3,3,1) -> 14*
    U230(4,1,1,1) -> 14*
    U230(2,1,2,1) -> 14*
    U230(4,2,3,3) -> 14*
    U230(4,3,1,1) -> 14*
    U230(2,3,2,1) -> 14*
    U230(4,4,3,3) -> 14*
    U230(3,2,2,3) -> 14*
    U230(4,1,3,2) -> 14*
    U230(3,4,2,3) -> 14*
    U230(4,3,3,2) -> 14*
    U230(1,2,4,4) -> 14*
    U230(1,4,4,4) -> 14*
    U230(3,1,2,2) -> 14*
    U230(3,3,2,2) -> 14*
    U230(2,2,2,4) -> 14*
    U230(4,2,3,1) -> 14*
    U230(1,1,4,3) -> 14*
    U230(2,4,2,4) -> 14*
    U230(4,4,3,1) -> 14*
    U230(1,3,4,3) -> 14*
    U230(1,2,1,4) -> 14*
    U230(3,2,2,1) -> 14*
    U230(1,4,1,4) -> 14*
    U230(3,4,2,1) -> 14*
    U230(1,2,4,2) -> 14*
    U230(4,1,2,3) -> 14*
    U230(1,4,4,2) -> 14*
    U230(1,1,1,3) -> 14*
    U230(4,3,2,3) -> 14*
    U230(1,3,1,3) -> 14*
    U230(2,1,4,4) -> 14*
    U230(1,1,4,1) -> 14*
    U230(2,3,4,4) -> 14*
    U230(1,3,4,1) -> 14*
    U230(4,2,2,2) -> 14*
    U230(3,1,2,4) -> 14*
    U230(1,1,3,4) -> 14*
    U230(1,2,1,2) -> 14*
    U230(4,4,2,2) -> 14*
    U230(3,3,2,4) -> 14*
    U230(1,3,3,4) -> 14*
    U230(1,4,1,2) -> 14*
    U230(2,2,4,3) -> 14*
    U230(2,4,4,3) -> 14*
    U230(2,1,1,4) -> 14*
    U230(4,1,2,1) -> 14*
    U230(1,1,1,1) -> 14*
    U230(2,3,1,4) -> 14*
    U230(4,3,2,1) -> 14*
    U230(1,2,3,3) -> 14*
    U230(1,3,1,1) -> 14*
    U230(2,1,4,2) -> 14*
    U230(1,4,3,3) -> 14*
    U230(2,3,4,2) -> 14*
    U230(2,2,1,3) -> 14*
    U230(1,1,3,2) -> 14*
    U230(2,4,1,3) -> 14*
    U230(3,2,4,4) -> 14*
    U230(1,3,3,2) -> 14*
    U230(2,2,4,1) -> 14*
    U230(3,4,4,4) -> 14*
    U230(2,4,4,1) -> 14*
    U230(2,1,1,2) -> 14*
    U230(4,2,2,4) -> 14*
    U230(2,2,3,4) -> 14*
    U230(2,3,1,2) -> 14*
    U230(3,1,4,3) -> 14*
    U230(1,2,3,1) -> 14*
    U230(4,4,2,4) -> 14*
    U230(2,4,3,4) -> 14*
    U230(3,3,4,3) -> 14*
    U230(1,4,3,1) -> 14*
    U230(3,2,1,4) -> 14*
    U230(2,1,3,3) -> 14*
    U230(2,2,1,1) -> 14*
    U230(3,4,1,4) -> 14*
    U230(2,3,3,3) -> 14*
    U230(2,4,1,1) -> 14*
    U230(3,2,4,2) -> 14*
    U230(3,4,4,2) -> 14*
    U230(3,1,1,3) -> 14*
    U230(1,1,2,3) -> 14*
    U230(3,3,1,3) -> 14*
    U230(1,3,2,3) -> 14*
    U230(4,1,4,4) -> 14*
    U230(2,2,3,2) -> 14*
    U230(3,1,4,1) -> 14*
    U230(4,3,4,4) -> 14*
    U230(2,4,3,2) -> 14*
    U230(3,3,4,1) -> 14*
    U230(3,1,3,4) -> 14*
    U230(3,2,1,2) -> 14*
    U230(1,2,2,2) -> 14*
    U230(2,1,3,1) -> 14*
    U230(3,3,3,4) -> 14*
    U230(3,4,1,2) -> 14*
    U230(1,4,2,2) -> 14*
    U230(4,2,4,3) -> 14*
    U230(2,3,3,1) -> 14*
    U230(4,4,4,3) -> 14*
    U230(4,1,1,4) -> 14*
    U230(3,1,1,1) -> 14*
    U230(1,1,2,1) -> 14*
    U230(4,3,1,4) -> 14*
    U230(3,2,3,3) -> 14*
    U230(3,3,1,1) -> 14*
    U230(1,3,2,1) -> 14*
    U230(4,1,4,2) -> 14*
    U230(3,4,3,3) -> 14*
    U230(4,3,4,2) -> 14*
    U230(4,2,1,3) -> 14*
    U230(2,2,2,3) -> 14*
    U230(3,1,3,2) -> 14*
    U230(4,4,1,3) -> 14*
    U230(2,4,2,3) -> 14*
    U230(3,3,3,2) -> 14*
    U230(4,2,4,1) -> 14*
    U230(4,4,4,1) -> 14*
    U230(4,1,1,2) -> 14*
    U230(2,1,2,2) -> 14*
    U230(4,2,3,4) -> 14*
    U230(4,3,1,2) -> 14*
    U230(2,3,2,2) -> 14*
    U230(1,2,2,4) -> 14*
    U230(3,2,3,1) -> 14*
    U230(4,4,3,4) -> 14*
    U230(1,4,2,4) -> 14*
    U230(3,4,3,1) -> 14*
    U230(4,1,3,3) -> 14*
    U230(4,2,1,1) -> 14*
    U230(2,2,2,1) -> 14*
    U230(4,3,3,3) -> 14*
    U230(4,4,1,1) -> 14*
    U230(2,4,2,1) -> 14*
    U230(3,1,2,3) -> 14*
    U230(3,3,2,3) -> 14*
    U230(4,2,3,2) -> 14*
    U230(1,1,4,4) -> 14*
    U230(4,4,3,2) -> 14*
    U230(1,3,4,4) -> 14*
    U230(3,2,2,2) -> 14*
    U230(2,1,2,4) -> 14*
    U230(4,1,3,1) -> 14*
    U230(3,4,2,2) -> 14*
    U230(2,3,2,4) -> 14*
    U230(4,3,3,1) -> 14*
    U230(1,2,4,3) -> 14*
    U230(1,4,4,3) -> 14*
    U230(1,1,1,4) -> 14*
    U230(3,1,2,1) -> 14*
    U230(1,3,1,4) -> 14*
    U230(3,3,2,1) -> 14*
    U230(1,1,4,2) -> 14*
    U230(1,3,4,2) -> 14*
    U230(4,2,2,3) -> 14*
    U230(1,2,1,3) -> 14*
    U230(4,4,2,3) -> 14*
    U230(1,4,1,3) -> 14*
    U230(2,2,4,4) -> 14*
    U230(1,2,4,1) -> 14*
    U230(2,4,4,4) -> 14*
    U230(4,1,2,2) -> 14*
    U230(1,4,4,1) -> 14*
    U230(1,1,1,2) -> 14*
    U230(4,3,2,2) -> 14*
    U230(3,2,2,4) -> 14*
    U230(1,2,3,4) -> 14*
    U230(1,3,1,2) -> 14*
    U230(2,1,4,3) -> 14*
    U230(3,4,2,4) -> 14*
    U230(1,4,3,4) -> 14*
    U230(2,3,4,3) -> 14*
    U230(2,2,1,4) -> 14*
    U230(4,2,2,1) -> 14*
    U230(1,1,3,3) -> 14*
    U230(1,2,1,1) -> 14*
    U230(2,4,1,4) -> 14*
    U230(4,4,2,1) -> 14*
    U230(1,3,3,3) -> 14*
    U230(1,4,1,1) -> 14*
    U230(2,2,4,2) -> 14*
    take0(3,1) -> 15*
    take0(3,3) -> 15*
    take0(4,2) -> 15*
    take0(4,4) -> 15*
    take0(1,2) -> 15*
    take0(1,4) -> 15*
    take0(2,1) -> 15*
    take0(2,3) -> 15*
    take0(3,2) -> 15*
    take0(3,4) -> 15*
    take0(4,1) -> 15*
    take0(4,3) -> 15*
    take0(1,1) -> 15*
    take0(1,3) -> 15*
    take0(2,2) -> 15*
    take0(2,4) -> 15*
    nil0() -> 4*
  problem:
   
  Qed