YES(?,O(n^1))
0.16/0.39	YES(?,O(n^1))
0.16/0.39	
0.16/0.39	Problem:
0.16/0.39	 f(0()) -> cons(0(),n__f(n__s(n__0())))
0.16/0.39	 f(s(0())) -> f(p(s(0())))
0.16/0.39	 p(s(X)) -> X
0.16/0.39	 f(X) -> n__f(X)
0.16/0.39	 s(X) -> n__s(X)
0.16/0.39	 0() -> n__0()
0.16/0.39	 activate(n__f(X)) -> f(activate(X))
0.16/0.39	 activate(n__s(X)) -> s(activate(X))
0.16/0.39	 activate(n__0()) -> 0()
0.16/0.39	 activate(X) -> X
0.16/0.39	
0.16/0.39	Proof:
0.16/0.39	 Bounds Processor:
0.16/0.39	  bound: 4
0.16/0.39	  enrichment: match
0.16/0.39	  automaton:
0.16/0.39	   final states: {9,8,7,6,5}
0.16/0.39	   transitions:
0.16/0.39	    cons3(23,22) -> 10,9
0.16/0.39	    01() -> 10,9
0.16/0.39	    03() -> 23*
0.16/0.39	    s1(10) -> 10,9
0.16/0.39	    n__04() -> 23*
0.16/0.39	    activate1(2) -> 10*
0.16/0.39	    activate1(4) -> 10*
0.16/0.39	    activate1(1) -> 10*
0.16/0.39	    activate1(3) -> 10*
0.16/0.39	    f1(10) -> 10,9
0.16/0.39	    n__01() -> 8*
0.16/0.39	    n__s1(2) -> 7*
0.16/0.39	    n__s1(4) -> 7*
0.16/0.39	    n__s1(1) -> 7*
0.16/0.39	    n__s1(3) -> 7*
0.16/0.39	    n__f1(2) -> 5*
0.16/0.39	    n__f1(4) -> 5*
0.16/0.39	    n__f1(1) -> 5*
0.16/0.39	    n__f1(3) -> 5*
0.16/0.39	    n__02() -> 10,9
0.16/0.39	    n__s2(10) -> 10,9
0.16/0.39	    n__s2(9) -> 12*
0.16/0.39	    n__f2(10) -> 10,9
0.16/0.39	    n__f2(12) -> 13*
0.16/0.39	    f0(2) -> 5*
0.16/0.39	    f0(4) -> 5*
0.16/0.39	    f0(1) -> 5*
0.16/0.39	    f0(3) -> 5*
0.16/0.39	    f2(19) -> 9,10
0.16/0.39	    00() -> 8*
0.16/0.39	    p2(18) -> 19*
0.16/0.39	    cons0(3,1) -> 1*
0.16/0.39	    cons0(3,3) -> 1*
0.16/0.39	    cons0(4,2) -> 1*
0.16/0.39	    cons0(4,4) -> 1*
0.16/0.39	    cons0(1,2) -> 1*
0.16/0.39	    cons0(1,4) -> 1*
0.16/0.39	    cons0(2,1) -> 1*
0.16/0.39	    cons0(2,3) -> 1*
0.16/0.39	    cons0(3,2) -> 1*
0.16/0.39	    cons0(3,4) -> 1*
0.16/0.39	    cons0(4,1) -> 1*
0.16/0.39	    cons0(4,3) -> 1*
0.16/0.39	    cons0(1,1) -> 1*
0.16/0.39	    cons0(1,3) -> 1*
0.16/0.39	    cons0(2,2) -> 1*
0.16/0.39	    cons0(2,4) -> 1*
0.16/0.39	    s2(14) -> 18*
0.16/0.39	    n__f0(2) -> 2*
0.16/0.39	    n__f0(4) -> 2*
0.16/0.39	    n__f0(1) -> 2*
0.16/0.39	    n__f0(3) -> 2*
0.16/0.39	    02() -> 14*
0.16/0.39	    n__s0(2) -> 3*
0.16/0.39	    n__s0(4) -> 3*
0.16/0.39	    n__s0(1) -> 3*
0.16/0.39	    n__s0(3) -> 3*
0.16/0.39	    cons2(14,13) -> 9,10
0.16/0.39	    n__00() -> 4*
0.16/0.39	    n__03() -> 14*
0.16/0.39	    s0(2) -> 7*
0.16/0.39	    s0(4) -> 7*
0.16/0.39	    s0(1) -> 7*
0.16/0.39	    s0(3) -> 7*
0.16/0.39	    n__s3(14) -> 18*
0.16/0.39	    p0(2) -> 6*
0.16/0.39	    p0(4) -> 6*
0.16/0.39	    p0(1) -> 6*
0.16/0.39	    p0(3) -> 6*
0.16/0.39	    n__f3(19) -> 10,9
0.16/0.39	    n__f3(18) -> 22*
0.16/0.39	    activate0(2) -> 9*
0.16/0.39	    activate0(4) -> 9*
0.16/0.39	    activate0(1) -> 9*
0.16/0.39	    activate0(3) -> 9*
0.16/0.39	    1 -> 10,9
0.16/0.39	    2 -> 10,9
0.16/0.39	    3 -> 10,9
0.16/0.39	    4 -> 10,9
0.16/0.39	    14 -> 19*
0.16/0.39	  problem:
0.16/0.39	   
0.16/0.39	  Qed
0.16/0.40	EOF