8.37/2.52	YES
8.37/2.53	
8.37/2.53	Problem:
8.37/2.53	 foo(0(x1)) -> 0(s(p(p(p(s(s(s(p(s(x1))))))))))
8.37/2.53	 foo(s(x1)) -> p(s(p(p(p(s(s(p(s(s(p(s(foo(p(p(s(s(p(s(bar(p(p(s(s(p(s(x1))))))))))))))))))))))))))
8.37/2.53	 bar(0(x1)) -> 0(p(s(s(s(x1)))))
8.37/2.53	 bar(s(x1)) -> p(s(p(p(s(s(foo(s(p(p(s(s(x1))))))))))))
8.37/2.53	 p(p(s(x1))) -> p(x1)
8.37/2.53	 p(s(x1)) -> x1
8.37/2.53	 p(0(x1)) -> 0(s(s(s(s(x1)))))
8.37/2.53	
8.37/2.53	Proof:
8.37/2.53	 String Reversal Processor:
8.37/2.53	  0(foo(x1)) -> s(p(s(s(s(p(p(p(s(0(x1))))))))))
8.37/2.53	  s(foo(x1)) ->
8.37/2.53	  s(p(s(s(p(p(bar(s(p(s(s(p(p(foo(s(p(s(s(p(s(s(p(p(p(s(p(x1))))))))))))))))))))))))))
8.37/2.53	  0(bar(x1)) -> s(s(s(p(0(x1)))))
8.37/2.53	  s(bar(x1)) -> s(s(p(p(s(foo(s(s(p(p(s(p(x1))))))))))))
8.37/2.53	  s(p(p(x1))) -> p(x1)
8.37/2.53	  s(p(x1)) -> x1
8.37/2.53	  0(p(x1)) -> s(s(s(s(0(x1)))))
8.37/2.53	  Bounds Processor:
8.37/2.53	   bound: 2
8.37/2.53	   enrichment: match
8.37/2.53	   automaton:
8.37/2.53	    final states: {50,2,13,42,38,12,1}
8.37/2.53	    transitions:
8.37/2.53	     p1(70) -> 71*
8.37/2.53	     p1(60) -> 61*
8.37/2.53	     p1(55) -> 56*
8.37/2.53	     p1(127) -> 128*
8.37/2.53	     p1(117) -> 118*
8.37/2.53	     p1(77) -> 78*
8.37/2.53	     p1(67) -> 68*
8.37/2.53	     p1(57) -> 58*
8.37/2.53	     p1(119) -> 120*
8.37/2.53	     p1(109) -> 110*
8.37/2.53	     p1(74) -> 75*
8.37/2.53	     p1(111) -> 112*
8.37/2.53	     p1(66) -> 67*
8.37/2.53	     p1(56) -> 57*
8.37/2.53	     p1(73) -> 74*
8.37/2.53	     p1(63) -> 64*
8.37/2.53	     p1(53) -> 54*
8.37/2.53	     p1(135) -> 136*
8.37/2.53	     p1(125) -> 126*
8.37/2.53	     s1(75) -> 76*
8.37/2.53	     s1(62) -> 63*
8.37/2.53	     s1(69) -> 70*
8.37/2.53	     s1(64) -> 65*
8.37/2.53	     s1(59) -> 60*
8.37/2.53	     s1(54) -> 55*
8.37/2.53	     s1(76) -> 77*
8.37/2.53	     s1(71) -> 72*
8.37/2.53	     s1(61) -> 62*
8.37/2.53	     s1(78) -> 79*
8.37/2.53	     s1(68) -> 69*
8.37/2.53	     s1(58) -> 59*
8.37/2.53	     bar1(72) -> 73*
8.37/2.53	     foo1(65) -> 66*
8.37/2.53	     p2(147) -> 148*
8.37/2.53	     p2(141) -> 142*
8.37/2.53	     p2(131) -> 132*
8.37/2.53	     p2(143) -> 144*
8.37/2.53	     f50() -> 2*
8.37/2.53	     s0(45) -> 46*
8.37/2.53	     s0(40) -> 41*
8.37/2.53	     s0(35) -> 36*
8.37/2.53	     s0(30) -> 31*
8.37/2.53	     s0(20) -> 21*
8.37/2.53	     s0(52) -> 50*
8.37/2.53	     s0(37) -> 12*
8.37/2.53	     s0(27) -> 28*
8.37/2.53	     s0(17) -> 18*
8.37/2.53	     s0(7) -> 8*
8.37/2.53	     s0(49) -> 42*
8.37/2.53	     s0(39) -> 40*
8.37/2.53	     s0(34) -> 35*
8.37/2.53	     s0(9) -> 10*
8.37/2.53	     s0(4) -> 51*
8.37/2.53	     s0(51) -> 52*
8.37/2.53	     s0(41) -> 38*
8.37/2.53	     s0(21) -> 22*
8.37/2.53	     s0(16) -> 43*
8.37/2.53	     s0(11) -> 1*
8.37/2.53	     s0(48) -> 49*
8.37/2.53	     s0(43) -> 44*
8.37/2.53	     s0(28) -> 29*
8.37/2.53	     s0(23) -> 24*
8.37/2.53	     s0(18) -> 19*
8.37/2.53	     s0(13) -> 14*
8.37/2.53	     s0(8) -> 9*
8.37/2.53	     s0(3) -> 4*
8.37/2.53	     p0(25) -> 26*
8.37/2.53	     p0(15) -> 16*
8.37/2.53	     p0(10) -> 11*
8.37/2.53	     p0(5) -> 6*
8.37/2.53	     p0(47) -> 48*
8.37/2.53	     p0(32) -> 33*
8.37/2.53	     p0(22) -> 23*
8.37/2.53	     p0(2) -> 13*
8.37/2.53	     p0(29) -> 30*
8.37/2.53	     p0(19) -> 20*
8.37/2.53	     p0(14) -> 15*
8.37/2.53	     p0(4) -> 5*
8.37/2.53	     p0(46) -> 47*
8.37/2.53	     p0(36) -> 37*
8.37/2.53	     p0(26) -> 27*
8.37/2.53	     p0(16) -> 17*
8.37/2.53	     p0(6) -> 7*
8.37/2.53	     p0(33) -> 34*
8.37/2.53	     p0(3) -> 39*
8.37/2.53	     00(2) -> 3*
8.37/2.53	     bar0(31) -> 32*
8.37/2.53	     foo0(44) -> 45*
8.37/2.53	     foo0(24) -> 25*
8.37/2.53	     1 -> 3,40
8.37/2.53	     2 -> 14*
8.37/2.53	     3 -> 40*
8.37/2.53	     4 -> 135*
8.37/2.53	     5 -> 125*
8.37/2.53	     6 -> 8*
8.37/2.53	     10 -> 1*
8.37/2.53	     13 -> 14,119,22,53,147,63
8.37/2.53	     14 -> 119*
8.37/2.53	     15 -> 43,109
8.37/2.53	     16 -> 18*
8.37/2.53	     19 -> 21*
8.37/2.53	     22 -> 24*
8.37/2.53	     25 -> 127*
8.37/2.53	     26 -> 28*
8.37/2.53	     29 -> 31*
8.37/2.53	     32 -> 111*
8.37/2.53	     33 -> 35*
8.37/2.53	     36 -> 12*
8.37/2.53	     38 -> 3,40
8.37/2.53	     44 -> 53*
8.37/2.53	     46 -> 117*
8.37/2.53	     47 -> 49*
8.37/2.53	     53 -> 55*
8.37/2.53	     54 -> 22,44,24,55,63,65
8.37/2.53	     55 -> 147*
8.37/2.53	     56 -> 141*
8.37/2.53	     57 -> 59*
8.37/2.53	     60 -> 62*
8.37/2.53	     63 -> 65*
8.37/2.53	     66 -> 131*
8.37/2.53	     67 -> 69*
8.37/2.53	     70 -> 72*
8.37/2.53	     73 -> 143*
8.37/2.53	     74 -> 76*
8.37/2.53	     77 -> 79*
8.37/2.53	     79 -> 46*
8.37/2.53	     109 -> 19*
8.37/2.53	     110 -> 18*
8.37/2.53	     111 -> 36,12
8.37/2.53	     112 -> 35*
8.37/2.53	     117 -> 42*
8.37/2.53	     118 -> 49*
8.37/2.53	     119 -> 22,44
8.37/2.53	     120 -> 19,43
8.37/2.53	     125 -> 9*
8.37/2.53	     126 -> 8*
8.37/2.53	     127 -> 29*
8.37/2.53	     128 -> 28*
8.37/2.53	     131 -> 70,72
8.37/2.53	     132 -> 69*
8.37/2.53	     135 -> 10*
8.37/2.53	     136 -> 9*
8.37/2.53	     141 -> 60,62
8.37/2.53	     142 -> 59*
8.37/2.53	     143 -> 77,79
8.37/2.53	     144 -> 76*
8.37/2.53	     147 -> 63,65
8.37/2.53	     148 -> 55,63,65,60,62
8.37/2.53	   problem:
8.37/2.53	    
8.37/2.53	   Qed
8.37/2.53	EOF