7.51/7.43	MAYBE
7.51/7.43	
7.51/7.43	DP problem for innermost termination.
7.51/7.43	P =
7.51/7.43	  f15#(x1, x2) -> f14#(x1, x2) 
7.51/7.43	  f14#(I0, I1) -> f4#(rnd1, I1) [y1 = y1 /\ rnd1 = rnd1]
7.51/7.43	  f3#(I2, I3) -> f13#(I2, I3) [1 + I3 <= 0]
7.51/7.43	  f3#(I4, I5) -> f13#(I4, I5) [1 <= I5]
7.51/7.43	  f3#(I6, I7) -> f2#(I6, I7) [0 <= I7 /\ I7 <= 0]
7.51/7.43	  f13#(I8, I9) -> f5#(1 + I8, I9) [I8 <= 5]
7.51/7.43	  f13#(I10, I11) -> f5#(1 + I10, I11) [6 <= I10]
7.51/7.43	  f2#(I12, I13) -> f6#(I12, I13) 
7.51/7.43	  f12#(I14, I15) -> f11#(I14, I15) 
7.51/7.43	  f11#(I16, I17) -> f12#(I16, I17) 
7.51/7.43	  f7#(I18, I19) -> f6#(-1 + I18, I19) [3 <= I18]
7.51/7.43	  f7#(I20, I21) -> f4#(I20, I21) [I20 <= 2]
7.51/7.43	  f10#(I22, I23) -> f11#(I22, I23) 
7.51/7.43	  f6#(I26, I27) -> f7#(I26, I27) 
7.51/7.43	  f5#(I28, I29) -> f1#(I28, I29) 
7.51/7.43	  f4#(I30, I31) -> f5#(I30, I31) 
7.51/7.43	  f1#(I32, I33) -> f3#(I32, rnd2) [rnd2 = rnd2 /\ I32 <= 5]
7.51/7.43	  f1#(I34, I35) -> f2#(I34, I35) [6 <= I34]
7.51/7.43	R = 
7.51/7.43	  f15(x1, x2) -> f14(x1, x2) 
7.51/7.43	  f14(I0, I1) -> f4(rnd1, I1) [y1 = y1 /\ rnd1 = rnd1]
7.51/7.43	  f3(I2, I3) -> f13(I2, I3) [1 + I3 <= 0]
7.51/7.43	  f3(I4, I5) -> f13(I4, I5) [1 <= I5]
7.51/7.43	  f3(I6, I7) -> f2(I6, I7) [0 <= I7 /\ I7 <= 0]
7.51/7.43	  f13(I8, I9) -> f5(1 + I8, I9) [I8 <= 5]
7.51/7.43	  f13(I10, I11) -> f5(1 + I10, I11) [6 <= I10]
7.51/7.43	  f2(I12, I13) -> f6(I12, I13) 
7.51/7.43	  f12(I14, I15) -> f11(I14, I15) 
7.51/7.43	  f11(I16, I17) -> f12(I16, I17) 
7.51/7.43	  f7(I18, I19) -> f6(-1 + I18, I19) [3 <= I18]
7.51/7.43	  f7(I20, I21) -> f4(I20, I21) [I20 <= 2]
7.51/7.43	  f10(I22, I23) -> f11(I22, I23) 
7.51/7.43	  f8(I24, I25) -> f9(I24, I25) 
7.51/7.43	  f6(I26, I27) -> f7(I26, I27) 
7.51/7.43	  f5(I28, I29) -> f1(I28, I29) 
7.51/7.43	  f4(I30, I31) -> f5(I30, I31) 
7.51/7.43	  f1(I32, I33) -> f3(I32, rnd2) [rnd2 = rnd2 /\ I32 <= 5]
7.51/7.43	  f1(I34, I35) -> f2(I34, I35) [6 <= I34]
7.51/7.43	
7.51/7.43	The dependency graph for this problem is:
7.51/7.43	  0 -> 1
7.51/7.43	  1 -> 15
7.51/7.43	  2 -> 5, 6
7.51/7.43	  3 -> 5, 6
7.51/7.43	  4 -> 7
7.51/7.43	  5 -> 14
7.51/7.43	  6 -> 14
7.51/7.43	  7 -> 13
7.51/7.43	  8 -> 9
7.51/7.43	  9 -> 8
7.51/7.43	  10 -> 13
7.51/7.43	  11 -> 15
7.51/7.43	  12 -> 9
7.51/7.43	  13 -> 10, 11
7.51/7.43	  14 -> 16, 17
7.51/7.43	  15 -> 14
7.51/7.43	  16 -> 2, 3, 4
7.51/7.43	  17 -> 7
7.51/7.43	Where:
7.51/7.43	  0) f15#(x1, x2) -> f14#(x1, x2) 
7.51/7.43	  1) f14#(I0, I1) -> f4#(rnd1, I1) [y1 = y1 /\ rnd1 = rnd1]
7.51/7.43	  2) f3#(I2, I3) -> f13#(I2, I3) [1 + I3 <= 0]
7.51/7.43	  3) f3#(I4, I5) -> f13#(I4, I5) [1 <= I5]
7.51/7.43	  4) f3#(I6, I7) -> f2#(I6, I7) [0 <= I7 /\ I7 <= 0]
7.51/7.43	  5) f13#(I8, I9) -> f5#(1 + I8, I9) [I8 <= 5]
7.51/7.43	  6) f13#(I10, I11) -> f5#(1 + I10, I11) [6 <= I10]
7.51/7.43	  7) f2#(I12, I13) -> f6#(I12, I13) 
7.51/7.43	  8) f12#(I14, I15) -> f11#(I14, I15) 
7.51/7.43	  9) f11#(I16, I17) -> f12#(I16, I17) 
7.51/7.43	  10) f7#(I18, I19) -> f6#(-1 + I18, I19) [3 <= I18]
7.51/7.43	  11) f7#(I20, I21) -> f4#(I20, I21) [I20 <= 2]
7.51/7.43	  12) f10#(I22, I23) -> f11#(I22, I23) 
7.51/7.43	  13) f6#(I26, I27) -> f7#(I26, I27) 
7.51/7.43	  14) f5#(I28, I29) -> f1#(I28, I29) 
7.51/7.43	  15) f4#(I30, I31) -> f5#(I30, I31) 
7.51/7.43	  16) f1#(I32, I33) -> f3#(I32, rnd2) [rnd2 = rnd2 /\ I32 <= 5]
7.51/7.43	  17) f1#(I34, I35) -> f2#(I34, I35) [6 <= I34]
7.51/7.43	
7.51/7.43	We have the following SCCs.
7.51/7.43	  { 8, 9 }
7.51/7.43	  { 2, 3, 4, 5, 6, 7, 10, 11, 13, 14, 15, 16, 17 }
7.51/7.43	
7.51/7.43	DP problem for innermost termination.
7.51/7.43	P =
7.51/7.43	  f3#(I2, I3) -> f13#(I2, I3) [1 + I3 <= 0]
7.51/7.43	  f3#(I4, I5) -> f13#(I4, I5) [1 <= I5]
7.51/7.43	  f3#(I6, I7) -> f2#(I6, I7) [0 <= I7 /\ I7 <= 0]
7.51/7.43	  f13#(I8, I9) -> f5#(1 + I8, I9) [I8 <= 5]
7.51/7.43	  f13#(I10, I11) -> f5#(1 + I10, I11) [6 <= I10]
7.51/7.43	  f2#(I12, I13) -> f6#(I12, I13) 
7.51/7.43	  f7#(I18, I19) -> f6#(-1 + I18, I19) [3 <= I18]
7.51/7.43	  f7#(I20, I21) -> f4#(I20, I21) [I20 <= 2]
7.51/7.43	  f6#(I26, I27) -> f7#(I26, I27) 
7.51/7.43	  f5#(I28, I29) -> f1#(I28, I29) 
7.51/7.43	  f4#(I30, I31) -> f5#(I30, I31) 
7.51/7.43	  f1#(I32, I33) -> f3#(I32, rnd2) [rnd2 = rnd2 /\ I32 <= 5]
7.51/7.43	  f1#(I34, I35) -> f2#(I34, I35) [6 <= I34]
7.51/7.43	R = 
7.51/7.43	  f15(x1, x2) -> f14(x1, x2) 
7.51/7.43	  f14(I0, I1) -> f4(rnd1, I1) [y1 = y1 /\ rnd1 = rnd1]
7.51/7.43	  f3(I2, I3) -> f13(I2, I3) [1 + I3 <= 0]
7.51/7.43	  f3(I4, I5) -> f13(I4, I5) [1 <= I5]
7.51/7.43	  f3(I6, I7) -> f2(I6, I7) [0 <= I7 /\ I7 <= 0]
7.51/7.43	  f13(I8, I9) -> f5(1 + I8, I9) [I8 <= 5]
7.51/7.43	  f13(I10, I11) -> f5(1 + I10, I11) [6 <= I10]
7.51/7.43	  f2(I12, I13) -> f6(I12, I13) 
7.51/7.43	  f12(I14, I15) -> f11(I14, I15) 
7.51/7.43	  f11(I16, I17) -> f12(I16, I17) 
7.51/7.43	  f7(I18, I19) -> f6(-1 + I18, I19) [3 <= I18]
7.51/7.43	  f7(I20, I21) -> f4(I20, I21) [I20 <= 2]
7.51/7.43	  f10(I22, I23) -> f11(I22, I23) 
7.51/7.43	  f8(I24, I25) -> f9(I24, I25) 
7.51/7.43	  f6(I26, I27) -> f7(I26, I27) 
7.51/7.43	  f5(I28, I29) -> f1(I28, I29) 
7.51/7.43	  f4(I30, I31) -> f5(I30, I31) 
7.51/7.43	  f1(I32, I33) -> f3(I32, rnd2) [rnd2 = rnd2 /\ I32 <= 5]
7.51/7.43	  f1(I34, I35) -> f2(I34, I35) [6 <= I34]
7.51/7.43	
7.51/10.41	EOF