12.55/12.70	MAYBE
12.55/12.70	
12.55/12.70	DP problem for innermost termination.
12.55/12.70	P =
12.55/12.70	  f14#(x1, x2, x3) -> f13#(x1, x2, x3) 
12.55/12.70	  f13#(I0, I1, I2) -> f1#(rnd1, rnd2, I2) [y1 = y1 /\ rnd2 = rnd2 /\ rnd1 = rnd2]
12.55/12.70	  f3#(I3, I4, I5) -> f12#(I3, I4, I5) [I3 <= 5]
12.55/12.70	  f3#(I6, I7, I8) -> f11#(I6, I7, I8) [6 <= I6]
12.55/12.70	  f12#(I9, I10, I11) -> f6#(I9, I10, I11) [1 <= I11]
12.55/12.70	  f12#(I12, I13, I14) -> f11#(I12, I13, I14) [I14 <= 0]
12.55/12.70	  f11#(I15, I16, I17) -> f2#(1 + I15, I16, I17) [I15 <= 5]
12.55/12.70	  f11#(I18, I19, I20) -> f2#(1 + I18, I19, I20) [6 <= I18]
12.55/12.70	  f10#(I21, I22, I23) -> f9#(I21, I22, I23) 
12.55/12.70	  f9#(I24, I25, I26) -> f10#(I24, I25, I26) 
12.55/12.70	  f7#(I27, I28, I29) -> f1#(1, I28, I29) [I27 <= 2]
12.55/12.70	  f7#(I30, I31, I32) -> f6#(-1 + I30, I31, I32) [3 <= I30]
12.55/12.70	  f8#(I33, I34, I35) -> f9#(I33, I34, I35) 
12.55/12.70	  f6#(I36, I37, I38) -> f7#(I36, I37, I38) 
12.55/12.70	  f2#(I42, I43, I44) -> f3#(I42, I43, rnd3) [rnd3 = rnd3]
12.55/12.70	  f1#(I45, I46, I47) -> f2#(I45, I46, I47) 
12.55/12.70	R = 
12.55/12.70	  f14(x1, x2, x3) -> f13(x1, x2, x3) 
12.55/12.70	  f13(I0, I1, I2) -> f1(rnd1, rnd2, I2) [y1 = y1 /\ rnd2 = rnd2 /\ rnd1 = rnd2]
12.55/12.70	  f3(I3, I4, I5) -> f12(I3, I4, I5) [I3 <= 5]
12.55/12.70	  f3(I6, I7, I8) -> f11(I6, I7, I8) [6 <= I6]
12.55/12.70	  f12(I9, I10, I11) -> f6(I9, I10, I11) [1 <= I11]
12.55/12.70	  f12(I12, I13, I14) -> f11(I12, I13, I14) [I14 <= 0]
12.55/12.70	  f11(I15, I16, I17) -> f2(1 + I15, I16, I17) [I15 <= 5]
12.55/12.70	  f11(I18, I19, I20) -> f2(1 + I18, I19, I20) [6 <= I18]
12.55/12.70	  f10(I21, I22, I23) -> f9(I21, I22, I23) 
12.55/12.70	  f9(I24, I25, I26) -> f10(I24, I25, I26) 
12.55/12.70	  f7(I27, I28, I29) -> f1(1, I28, I29) [I27 <= 2]
12.55/12.70	  f7(I30, I31, I32) -> f6(-1 + I30, I31, I32) [3 <= I30]
12.55/12.70	  f8(I33, I34, I35) -> f9(I33, I34, I35) 
12.55/12.70	  f6(I36, I37, I38) -> f7(I36, I37, I38) 
12.55/12.70	  f4(I39, I40, I41) -> f5(I39, I40, I41) 
12.55/12.70	  f2(I42, I43, I44) -> f3(I42, I43, rnd3) [rnd3 = rnd3]
12.55/12.70	  f1(I45, I46, I47) -> f2(I45, I46, I47) 
12.55/12.70	
12.55/12.70	The dependency graph for this problem is:
12.55/12.70	  0 -> 1
12.55/12.70	  1 -> 15
12.55/12.70	  2 -> 4, 5
12.55/12.70	  3 -> 7
12.55/12.70	  4 -> 13
12.55/12.70	  5 -> 6, 7
12.55/12.70	  6 -> 14
12.55/12.70	  7 -> 14
12.55/12.70	  8 -> 9
12.55/12.70	  9 -> 8
12.55/12.70	  10 -> 15
12.55/12.70	  11 -> 13
12.55/12.70	  12 -> 9
12.55/12.70	  13 -> 10, 11
12.55/12.70	  14 -> 2, 3
12.55/12.70	  15 -> 14
12.55/12.70	Where:
12.55/12.70	  0) f14#(x1, x2, x3) -> f13#(x1, x2, x3) 
12.55/12.70	  1) f13#(I0, I1, I2) -> f1#(rnd1, rnd2, I2) [y1 = y1 /\ rnd2 = rnd2 /\ rnd1 = rnd2]
12.55/12.70	  2) f3#(I3, I4, I5) -> f12#(I3, I4, I5) [I3 <= 5]
12.55/12.70	  3) f3#(I6, I7, I8) -> f11#(I6, I7, I8) [6 <= I6]
12.55/12.70	  4) f12#(I9, I10, I11) -> f6#(I9, I10, I11) [1 <= I11]
12.55/12.70	  5) f12#(I12, I13, I14) -> f11#(I12, I13, I14) [I14 <= 0]
12.55/12.70	  6) f11#(I15, I16, I17) -> f2#(1 + I15, I16, I17) [I15 <= 5]
12.55/12.70	  7) f11#(I18, I19, I20) -> f2#(1 + I18, I19, I20) [6 <= I18]
12.55/12.70	  8) f10#(I21, I22, I23) -> f9#(I21, I22, I23) 
12.55/12.70	  9) f9#(I24, I25, I26) -> f10#(I24, I25, I26) 
12.55/12.70	  10) f7#(I27, I28, I29) -> f1#(1, I28, I29) [I27 <= 2]
12.55/12.70	  11) f7#(I30, I31, I32) -> f6#(-1 + I30, I31, I32) [3 <= I30]
12.55/12.70	  12) f8#(I33, I34, I35) -> f9#(I33, I34, I35) 
12.55/12.70	  13) f6#(I36, I37, I38) -> f7#(I36, I37, I38) 
12.55/12.70	  14) f2#(I42, I43, I44) -> f3#(I42, I43, rnd3) [rnd3 = rnd3]
12.55/12.70	  15) f1#(I45, I46, I47) -> f2#(I45, I46, I47) 
12.55/12.70	
12.55/12.70	We have the following SCCs.
12.55/12.70	  { 8, 9 }
12.55/12.70	  { 2, 3, 4, 5, 6, 7, 10, 11, 13, 14, 15 }
12.55/12.70	
12.55/12.70	DP problem for innermost termination.
12.55/12.70	P =
12.55/12.70	  f3#(I3, I4, I5) -> f12#(I3, I4, I5) [I3 <= 5]
12.55/12.70	  f3#(I6, I7, I8) -> f11#(I6, I7, I8) [6 <= I6]
12.55/12.70	  f12#(I9, I10, I11) -> f6#(I9, I10, I11) [1 <= I11]
12.55/12.70	  f12#(I12, I13, I14) -> f11#(I12, I13, I14) [I14 <= 0]
12.55/12.70	  f11#(I15, I16, I17) -> f2#(1 + I15, I16, I17) [I15 <= 5]
12.55/12.70	  f11#(I18, I19, I20) -> f2#(1 + I18, I19, I20) [6 <= I18]
12.55/12.70	  f7#(I27, I28, I29) -> f1#(1, I28, I29) [I27 <= 2]
12.55/12.70	  f7#(I30, I31, I32) -> f6#(-1 + I30, I31, I32) [3 <= I30]
12.55/12.70	  f6#(I36, I37, I38) -> f7#(I36, I37, I38) 
12.55/12.70	  f2#(I42, I43, I44) -> f3#(I42, I43, rnd3) [rnd3 = rnd3]
12.55/12.70	  f1#(I45, I46, I47) -> f2#(I45, I46, I47) 
12.55/12.70	R = 
12.55/12.70	  f14(x1, x2, x3) -> f13(x1, x2, x3) 
12.55/12.70	  f13(I0, I1, I2) -> f1(rnd1, rnd2, I2) [y1 = y1 /\ rnd2 = rnd2 /\ rnd1 = rnd2]
12.55/12.70	  f3(I3, I4, I5) -> f12(I3, I4, I5) [I3 <= 5]
12.55/12.70	  f3(I6, I7, I8) -> f11(I6, I7, I8) [6 <= I6]
12.55/12.70	  f12(I9, I10, I11) -> f6(I9, I10, I11) [1 <= I11]
12.55/12.70	  f12(I12, I13, I14) -> f11(I12, I13, I14) [I14 <= 0]
12.55/12.70	  f11(I15, I16, I17) -> f2(1 + I15, I16, I17) [I15 <= 5]
12.55/12.70	  f11(I18, I19, I20) -> f2(1 + I18, I19, I20) [6 <= I18]
12.55/12.70	  f10(I21, I22, I23) -> f9(I21, I22, I23) 
12.55/12.70	  f9(I24, I25, I26) -> f10(I24, I25, I26) 
12.55/12.70	  f7(I27, I28, I29) -> f1(1, I28, I29) [I27 <= 2]
12.55/12.70	  f7(I30, I31, I32) -> f6(-1 + I30, I31, I32) [3 <= I30]
12.55/12.70	  f8(I33, I34, I35) -> f9(I33, I34, I35) 
12.55/12.70	  f6(I36, I37, I38) -> f7(I36, I37, I38) 
12.55/12.70	  f4(I39, I40, I41) -> f5(I39, I40, I41) 
12.55/12.70	  f2(I42, I43, I44) -> f3(I42, I43, rnd3) [rnd3 = rnd3]
12.55/12.70	  f1(I45, I46, I47) -> f2(I45, I46, I47) 
12.55/12.70	
12.55/15.67	EOF