YES(?,O(n^1))
0.17/0.38	YES(?,O(n^1))
0.17/0.39	
0.17/0.39	Problem:
0.17/0.39	 i(x,x) -> i(a(),b())
0.17/0.39	 g(x,x) -> g(a(),b())
0.17/0.39	 h(s(f(x))) -> h(f(x))
0.17/0.39	 f(s(x)) -> s(s(f(h(s(x)))))
0.17/0.39	 f(g(s(x),y)) -> f(g(x,s(y)))
0.17/0.39	 h(g(x,s(y))) -> h(g(s(x),y))
0.17/0.39	 h(i(x,y)) -> i(i(c(),h(h(y))),x)
0.17/0.39	 g(a(),g(x,g(b(),g(a(),g(x,y))))) -> g(a(),g(a(),g(a(),g(x,g(b(),g(b(),y))))))
0.17/0.39	
0.17/0.39	Proof:
0.17/0.39	 Bounds Processor:
0.17/0.39	  bound: 1
0.17/0.39	  enrichment: match
0.17/0.39	  automaton:
0.17/0.39	   final states: {20,8,7,6,5}
0.17/0.39	   transitions:
0.17/0.39	    i0(17,18) -> 5*
0.17/0.39	    i0(18,1) -> 5*
0.17/0.39	    i0(2,18) -> 5*
0.17/0.39	    i0(18,3) -> 5*
0.17/0.39	    i0(3,1) -> 5*
0.17/0.39	    i0(3,3) -> 5*
0.17/0.39	    i0(18,17) -> 5*
0.17/0.39	    i0(18,19) -> 5*
0.17/0.39	    i0(3,17) -> 5*
0.17/0.39	    i0(19,2) -> 5*
0.17/0.39	    i0(3,19) -> 5*
0.17/0.39	    i0(19,4) -> 5*
0.17/0.39	    i0(4,2) -> 5*
0.17/0.39	    i0(4,4) -> 5*
0.17/0.39	    i0(19,18) -> 5*
0.17/0.39	    i0(4,18) -> 5*
0.17/0.39	    i0(1,2) -> 5*
0.17/0.39	    i0(1,4) -> 5*
0.17/0.39	    i0(17,1) -> 5*
0.17/0.39	    i0(1,18) -> 5*
0.17/0.39	    i0(17,3) -> 5*
0.17/0.39	    i0(2,1) -> 5*
0.17/0.39	    i0(2,3) -> 5*
0.17/0.39	    i0(17,17) -> 5*
0.17/0.39	    i0(17,19) -> 5*
0.17/0.39	    i0(2,17) -> 5*
0.17/0.39	    i0(18,2) -> 5*
0.17/0.39	    i0(2,19) -> 5*
0.17/0.39	    i0(18,4) -> 5*
0.17/0.39	    i0(3,2) -> 5*
0.17/0.39	    i0(3,4) -> 5*
0.17/0.39	    i0(18,18) -> 5*
0.17/0.39	    i0(19,1) -> 5*
0.17/0.39	    i0(3,18) -> 5*
0.17/0.39	    i0(19,3) -> 5*
0.17/0.39	    i0(4,1) -> 5*
0.17/0.39	    i0(4,3) -> 5*
0.17/0.39	    i0(19,17) -> 5*
0.17/0.39	    i0(19,19) -> 5*
0.17/0.39	    i0(4,17) -> 5*
0.17/0.39	    i0(4,19) -> 5*
0.17/0.39	    i0(1,1) -> 5*
0.17/0.39	    i0(1,3) -> 5*
0.17/0.39	    i0(1,17) -> 5*
0.17/0.39	    i0(17,2) -> 5*
0.17/0.39	    i0(1,19) -> 5*
0.17/0.39	    i0(17,4) -> 5*
0.17/0.39	    i0(2,2) -> 5*
0.17/0.39	    i0(2,4) -> 5*
0.17/0.39	    g0(17,18) -> 6*
0.17/0.39	    g0(18,1) -> 6*
0.17/0.39	    g0(2,18) -> 6*
0.17/0.39	    g0(18,3) -> 6*
0.17/0.39	    g0(3,1) -> 6*
0.17/0.39	    g0(3,3) -> 6*
0.17/0.39	    g0(18,17) -> 6*
0.17/0.39	    g0(18,19) -> 6*
0.17/0.39	    g0(3,17) -> 6*
0.17/0.39	    g0(19,2) -> 6*
0.17/0.39	    g0(3,19) -> 6*
0.17/0.39	    g0(19,4) -> 6*
0.17/0.39	    g0(4,2) -> 6*
0.17/0.39	    g0(4,4) -> 6*
0.17/0.39	    g0(19,18) -> 6*
0.17/0.39	    g0(4,18) -> 6*
0.17/0.39	    g0(1,2) -> 6*
0.17/0.39	    g0(1,4) -> 6*
0.17/0.39	    g0(17,1) -> 6*
0.17/0.39	    g0(1,18) -> 6*
0.17/0.39	    g0(17,3) -> 6*
0.17/0.39	    g0(2,1) -> 6*
0.17/0.39	    g0(2,3) -> 6*
0.17/0.39	    g0(17,17) -> 6*
0.17/0.39	    g0(17,19) -> 6*
0.17/0.39	    g0(2,17) -> 6*
0.17/0.39	    g0(18,2) -> 6*
0.17/0.39	    g0(2,19) -> 6*
0.17/0.39	    g0(18,4) -> 6*
0.17/0.39	    g0(3,2) -> 6*
0.17/0.39	    g0(3,4) -> 6*
0.17/0.39	    g0(18,18) -> 6*
0.17/0.39	    g0(19,1) -> 6*
0.17/0.39	    g0(3,18) -> 6*
0.17/0.39	    g0(19,3) -> 6*
0.17/0.39	    g0(4,1) -> 6*
0.17/0.39	    g0(4,3) -> 6*
0.17/0.39	    g0(19,17) -> 6*
0.17/0.39	    g0(19,19) -> 6*
0.17/0.39	    g0(4,17) -> 6*
0.17/0.39	    g0(4,19) -> 6*
0.17/0.39	    g0(1,1) -> 6*
0.17/0.39	    g0(1,3) -> 6*
0.17/0.39	    g0(1,17) -> 6*
0.17/0.39	    g0(17,2) -> 6*
0.17/0.39	    g0(1,19) -> 6*
0.17/0.39	    g0(17,4) -> 6*
0.17/0.39	    g0(2,2) -> 6*
0.17/0.39	    g0(2,4) -> 6*
0.17/0.39	    h0(17) -> 7*
0.17/0.39	    h0(2) -> 7*
0.17/0.39	    h0(19) -> 7*
0.17/0.39	    h0(4) -> 7*
0.17/0.39	    h0(1) -> 7*
0.17/0.39	    h0(18) -> 7*
0.17/0.39	    h0(3) -> 7*
0.17/0.39	    f0(17) -> 8*
0.17/0.39	    f0(2) -> 8*
0.17/0.39	    f0(19) -> 8*
0.17/0.39	    f0(4) -> 8*
0.17/0.39	    f0(1) -> 8*
0.17/0.39	    f0(18) -> 8*
0.17/0.39	    f0(3) -> 8*
0.17/0.39	    c0() -> 4*
0.17/0.39	    s1(15) -> 16*
0.17/0.39	    s1(17) -> 17*
0.17/0.39	    s1(2) -> 17*,3,13
0.17/0.39	    s1(19) -> 17*
0.17/0.39	    s1(4) -> 17*,3,13
0.17/0.39	    s1(16) -> 8*
0.17/0.39	    s1(1) -> 17*,3,13
0.17/0.39	    s1(18) -> 17*
0.17/0.39	    s1(3) -> 17*,3,13
0.17/0.39	    f1(20) -> 15*
0.17/0.39	    f1(14) -> 15*
0.17/0.39	    h1(17) -> 20*,7,14
0.17/0.39	    h1(13) -> 14*
0.17/0.39	    g1(18,9) -> 6*
0.17/0.39	    g1(18,19) -> 6*
0.17/0.39	    g1(10,9) -> 6*
0.17/0.39	    g1(10,19) -> 6*
0.17/0.39	    a1() -> 18*,1,10
0.17/0.39	    b1() -> 19*,2,9
0.17/0.39	    i1(18,9) -> 5*
0.17/0.39	    i1(18,19) -> 5*
0.17/0.39	    i1(10,9) -> 5*
0.17/0.39	    i1(10,19) -> 5*
0.17/0.39	  problem:
0.17/0.39	   
0.17/0.39	  Qed
0.17/0.39	EOF