3.94/1.31	YES
3.94/1.31	
3.94/1.31	Problem:
3.94/1.31	 a(a(x1)) -> a(b(b(b(x1))))
3.94/1.31	 b(a(x1)) -> b(b(c(x1)))
3.94/1.31	 a(b(b(c(x1)))) -> a(a(a(b(x1))))
3.94/1.31	
3.94/1.31	Proof:
3.94/1.31	 Bounds Processor:
3.94/1.31	  bound: 3
3.94/1.31	  enrichment: match
3.94/1.31	  automaton:
3.94/1.31	   final states: {9,6,1}
3.94/1.31	   transitions:
3.94/1.31	    a1(30) -> 31*
3.94/1.31	    a1(15) -> 16*
3.94/1.31	    a1(42) -> 43*
3.94/1.31	    a1(41) -> 42*
3.94/1.31	    a1(43) -> 44*
3.94/1.31	    b1(40) -> 41*
3.94/1.31	    b1(62) -> 63*
3.94/1.31	    b1(32) -> 33*
3.94/1.31	    b1(27) -> 28*
3.94/1.31	    b1(12) -> 13*
3.94/1.31	    b1(29) -> 30*
3.94/1.31	    b1(14) -> 15*
3.94/1.31	    b1(88) -> 89*
3.94/1.31	    b1(28) -> 29*
3.94/1.31	    b1(13) -> 14*
3.94/1.31	    c1(38) -> 39*
3.94/1.31	    b2(80) -> 81*
3.94/1.31	    b2(65) -> 66*
3.94/1.31	    b2(50) -> 51*
3.94/1.31	    b2(112) -> 113*
3.94/1.31	    b2(92) -> 93*
3.94/1.31	    b2(82) -> 83*
3.94/1.31	    b2(52) -> 53*
3.94/1.31	    b2(114) -> 115*
3.94/1.31	    b2(79) -> 80*
3.94/1.31	    b2(64) -> 65*
3.94/1.31	    b2(91) -> 92*
3.94/1.31	    b2(66) -> 67*
3.94/1.31	    b2(51) -> 52*
3.94/1.31	    c2(102) -> 103*
3.94/1.31	    c2(108) -> 109*
3.94/1.31	    c2(78) -> 79*
3.94/1.31	    c2(100) -> 101*
3.94/1.31	    c2(90) -> 91*
3.94/1.31	    f30() -> 2*
3.94/1.31	    a2(67) -> 68*
3.94/1.31	    a2(53) -> 54*
3.94/1.31	    a0(10) -> 11*
3.94/1.31	    a0(5) -> 1*
3.94/1.31	    a0(11) -> 9*
3.94/1.31	    a0(3) -> 10*
3.94/1.31	    b3(132) -> 133*
3.94/1.31	    b3(124) -> 125*
3.94/1.31	    b3(131) -> 132*
3.94/1.31	    b3(123) -> 124*
3.94/1.31	    b0(7) -> 8*
3.94/1.31	    b0(2) -> 3*
3.94/1.31	    b0(4) -> 5*
3.94/1.31	    b0(8) -> 6*
3.94/1.31	    b0(3) -> 4*
3.94/1.31	    c3(122) -> 123*
3.94/1.31	    c3(130) -> 131*
3.94/1.31	    c0(2) -> 7*
3.94/1.31	    2 -> 40*
3.94/1.31	    3 -> 38,27
3.94/1.31	    6 -> 41,108,3,38
3.94/1.31	    10 -> 12*
3.94/1.31	    16 -> 9*
3.94/1.31	    30 -> 32*
3.94/1.31	    31 -> 11*
3.94/1.31	    33 -> 13*
3.94/1.31	    39 -> 29*
3.94/1.31	    41 -> 108,64
3.94/1.31	    42 -> 100,50
3.94/1.31	    43 -> 114,78,62
3.94/1.31	    44 -> 42,50,100,10,12
3.94/1.31	    53 -> 122,112,102,88
3.94/1.31	    54 -> 44*
3.94/1.31	    63 -> 28*
3.94/1.31	    67 -> 130,90,82
3.94/1.31	    68 -> 43*
3.94/1.31	    81 -> 51,13
3.94/1.31	    83 -> 51*
3.94/1.31	    89 -> 28*
3.94/1.31	    93 -> 115,63
3.94/1.31	    101 -> 91*
3.94/1.31	    103 -> 79*
3.94/1.31	    109 -> 66*
3.94/1.31	    113 -> 65*
3.94/1.31	    115 -> 65*
3.94/1.31	    125 -> 51*
3.94/1.31	    133 -> 115*
3.94/1.31	  problem:
3.94/1.31	   
3.94/1.31	  Qed
3.94/1.32	EOF