3.95/1.31	YES
3.95/1.31	
3.95/1.31	Problem:
3.95/1.31	 a(d(x1)) -> d(b(c(b(d(x1)))))
3.95/1.31	 a(x1) -> b(b(f(b(b(x1)))))
3.95/1.31	 b(d(b(x1))) -> a(d(x1))
3.95/1.31	 d(f(x1)) -> b(d(x1))
3.95/1.31	
3.95/1.31	Proof:
3.95/1.31	 Bounds Processor:
3.95/1.31	  bound: 3
3.95/1.31	  enrichment: match
3.95/1.31	  automaton:
3.95/1.31	   final states: {4,12,7,1}
3.95/1.31	   transitions:
3.95/1.31	    f50() -> 2*
3.95/1.31	    d0(2) -> 3*
3.95/1.31	    d0(6) -> 1*
3.95/1.31	    b0(10) -> 11*
3.95/1.31	    b0(5) -> 6*
3.95/1.31	    b0(2) -> 8*
3.95/1.31	    b0(11) -> 7*
3.95/1.31	    b0(8) -> 9*
3.95/1.31	    b0(3) -> 4*
3.95/1.31	    c0(4) -> 5*
3.95/1.31	    f0(9) -> 10*
3.95/1.31	    a0(3) -> 12*
3.95/1.31	    b1(25) -> 26*
3.95/1.31	    b1(20) -> 21*
3.95/1.31	    b1(22) -> 23*
3.95/1.31	    b1(29) -> 30*
3.95/1.31	    b1(26) -> 27*
3.95/1.31	    b1(28) -> 29*
3.95/1.31	    f1(27) -> 28*
3.95/1.31	    d1(19) -> 20*
3.95/1.31	    d1(23) -> 24*
3.95/1.31	    c1(67) -> 68*
3.95/1.31	    c1(21) -> 22*
3.95/1.31	    a2(47) -> 48*
3.95/1.31	    d2(46) -> 47*
3.95/1.31	    d2(73) -> 74*
3.95/1.31	    b3(65) -> 66*
3.95/1.31	    b3(62) -> 63*
3.95/1.31	    b3(64) -> 65*
3.95/1.31	    b3(61) -> 62*
3.95/1.31	    b3(56) -> 57*
3.95/1.31	    b3(58) -> 59*
3.95/1.31	    f3(63) -> 64*
3.95/1.31	    d3(75) -> 76*
3.95/1.31	    d3(55) -> 56*
3.95/1.31	    d3(59) -> 60*
3.95/1.31	    c3(57) -> 58*
3.95/1.31	    2 -> 19*
3.95/1.31	    3 -> 25*
3.95/1.31	    4 -> 20,3
3.95/1.31	    12 -> 8,26,4,21
3.95/1.31	    22 -> 46*
3.95/1.31	    24 -> 12*
3.95/1.31	    26 -> 67*
3.95/1.31	    30 -> 12*
3.95/1.31	    46 -> 55*
3.95/1.31	    47 -> 61*
3.95/1.31	    48 -> 21,26,4,9,27
3.95/1.31	    58 -> 73*
3.95/1.31	    60 -> 48,27
3.95/1.31	    66 -> 48,27
3.95/1.31	    68 -> 22*
3.95/1.31	    73 -> 75*
3.95/1.31	    74 -> 47*
3.95/1.31	    76 -> 56*
3.95/1.31	  problem:
3.95/1.31	   
3.95/1.31	  Qed
3.95/1.31	EOF