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