19.16/19.36	MAYBE
19.16/19.36	
19.16/19.36	DP problem for innermost termination.
19.16/19.36	P =
19.16/19.36	  f11#(x1, x2, x3, x4) -> f10#(x1, x2, x3, x4) 
19.16/19.36	  f10#(I0, I1, I2, I3) -> f7#(0, I1, I2, I3) 
19.16/19.36	  f3#(I4, I5, I6, I7) -> f9#(I4, I5, I6, I7) [1 + I7 <= 0]
19.16/19.36	  f3#(I8, I9, I10, I11) -> f9#(I8, I9, I10, I11) [1 <= I11]
19.16/19.36	  f3#(I12, I13, I14, I15) -> f2#(I12, I13, I14, I15) [0 <= I15 /\ I15 <= 0]
19.16/19.36	  f9#(I16, I17, I18, I19) -> f6#(1 + I16, 1 + I17, I18, I19) 
19.16/19.36	  f8#(I20, I21, I22, I23) -> f7#(-1 + I20, I21, I22, I23) [1 <= I21]
19.16/19.36	  f8#(I24, I25, I26, I27) -> f7#(I24, I25, I26, I27) [I25 <= 0]
19.16/19.36	  f2#(I28, I29, I30, I31) -> f8#(I28, I29, I30, I31) 
19.16/19.36	  f6#(I32, I33, I34, I35) -> f1#(I32, I33, I34, I35) 
19.16/19.36	  f7#(I36, I37, I38, I39) -> f4#(I36, I37, I38, I39) 
19.16/19.36	  f4#(I40, I41, I42, I43) -> f6#(1 + I40, 0, I42, I43) [1 + I40 <= I42]
19.16/19.36	  f1#(I48, I49, I50, I51) -> f3#(I48, I49, I50, rnd4) [rnd4 = rnd4 /\ 1 + I48 <= I50]
19.16/19.36	  f1#(I52, I53, I54, I55) -> f2#(I52, I53, I54, I55) [I54 <= I52]
19.16/19.36	R = 
19.16/19.36	  f11(x1, x2, x3, x4) -> f10(x1, x2, x3, x4) 
19.16/19.36	  f10(I0, I1, I2, I3) -> f7(0, I1, I2, I3) 
19.16/19.36	  f3(I4, I5, I6, I7) -> f9(I4, I5, I6, I7) [1 + I7 <= 0]
19.16/19.36	  f3(I8, I9, I10, I11) -> f9(I8, I9, I10, I11) [1 <= I11]
19.16/19.36	  f3(I12, I13, I14, I15) -> f2(I12, I13, I14, I15) [0 <= I15 /\ I15 <= 0]
19.16/19.36	  f9(I16, I17, I18, I19) -> f6(1 + I16, 1 + I17, I18, I19) 
19.16/19.36	  f8(I20, I21, I22, I23) -> f7(-1 + I20, I21, I22, I23) [1 <= I21]
19.16/19.36	  f8(I24, I25, I26, I27) -> f7(I24, I25, I26, I27) [I25 <= 0]
19.16/19.36	  f2(I28, I29, I30, I31) -> f8(I28, I29, I30, I31) 
19.16/19.36	  f6(I32, I33, I34, I35) -> f1(I32, I33, I34, I35) 
19.16/19.36	  f7(I36, I37, I38, I39) -> f4(I36, I37, I38, I39) 
19.16/19.36	  f4(I40, I41, I42, I43) -> f6(1 + I40, 0, I42, I43) [1 + I40 <= I42]
19.16/19.36	  f4(I44, I45, I46, I47) -> f5(I44, I45, I46, I47) [I46 <= I44]
19.16/19.36	  f1(I48, I49, I50, I51) -> f3(I48, I49, I50, rnd4) [rnd4 = rnd4 /\ 1 + I48 <= I50]
19.16/19.36	  f1(I52, I53, I54, I55) -> f2(I52, I53, I54, I55) [I54 <= I52]
19.16/19.36	
19.16/19.36	The dependency graph for this problem is:
19.16/19.36	  0 -> 1
19.16/19.36	  1 -> 10
19.16/19.36	  2 -> 5
19.16/19.36	  3 -> 5
19.16/19.36	  4 -> 8
19.16/19.36	  5 -> 9
19.16/19.36	  6 -> 10
19.16/19.36	  7 -> 10
19.16/19.36	  8 -> 6, 7
19.16/19.36	  9 -> 12, 13
19.16/19.36	  10 -> 11
19.16/19.36	  11 -> 9
19.16/19.36	  12 -> 2, 3, 4
19.16/19.36	  13 -> 8
19.16/19.36	Where:
19.16/19.36	  0) f11#(x1, x2, x3, x4) -> f10#(x1, x2, x3, x4) 
19.16/19.36	  1) f10#(I0, I1, I2, I3) -> f7#(0, I1, I2, I3) 
19.16/19.36	  2) f3#(I4, I5, I6, I7) -> f9#(I4, I5, I6, I7) [1 + I7 <= 0]
19.16/19.36	  3) f3#(I8, I9, I10, I11) -> f9#(I8, I9, I10, I11) [1 <= I11]
19.16/19.36	  4) f3#(I12, I13, I14, I15) -> f2#(I12, I13, I14, I15) [0 <= I15 /\ I15 <= 0]
19.16/19.36	  5) f9#(I16, I17, I18, I19) -> f6#(1 + I16, 1 + I17, I18, I19) 
19.16/19.36	  6) f8#(I20, I21, I22, I23) -> f7#(-1 + I20, I21, I22, I23) [1 <= I21]
19.16/19.36	  7) f8#(I24, I25, I26, I27) -> f7#(I24, I25, I26, I27) [I25 <= 0]
19.16/19.36	  8) f2#(I28, I29, I30, I31) -> f8#(I28, I29, I30, I31) 
19.16/19.36	  9) f6#(I32, I33, I34, I35) -> f1#(I32, I33, I34, I35) 
19.16/19.36	  10) f7#(I36, I37, I38, I39) -> f4#(I36, I37, I38, I39) 
19.16/19.36	  11) f4#(I40, I41, I42, I43) -> f6#(1 + I40, 0, I42, I43) [1 + I40 <= I42]
19.16/19.36	  12) f1#(I48, I49, I50, I51) -> f3#(I48, I49, I50, rnd4) [rnd4 = rnd4 /\ 1 + I48 <= I50]
19.16/19.36	  13) f1#(I52, I53, I54, I55) -> f2#(I52, I53, I54, I55) [I54 <= I52]
19.16/19.36	
19.16/19.36	We have the following SCCs.
19.16/19.36	  { 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13 }
19.16/19.36	
19.16/19.36	DP problem for innermost termination.
19.16/19.36	P =
19.16/19.36	  f3#(I4, I5, I6, I7) -> f9#(I4, I5, I6, I7) [1 + I7 <= 0]
19.16/19.36	  f3#(I8, I9, I10, I11) -> f9#(I8, I9, I10, I11) [1 <= I11]
19.16/19.36	  f3#(I12, I13, I14, I15) -> f2#(I12, I13, I14, I15) [0 <= I15 /\ I15 <= 0]
19.16/19.36	  f9#(I16, I17, I18, I19) -> f6#(1 + I16, 1 + I17, I18, I19) 
19.16/19.36	  f8#(I20, I21, I22, I23) -> f7#(-1 + I20, I21, I22, I23) [1 <= I21]
19.16/19.36	  f8#(I24, I25, I26, I27) -> f7#(I24, I25, I26, I27) [I25 <= 0]
19.16/19.36	  f2#(I28, I29, I30, I31) -> f8#(I28, I29, I30, I31) 
19.16/19.36	  f6#(I32, I33, I34, I35) -> f1#(I32, I33, I34, I35) 
19.16/19.36	  f7#(I36, I37, I38, I39) -> f4#(I36, I37, I38, I39) 
19.16/19.36	  f4#(I40, I41, I42, I43) -> f6#(1 + I40, 0, I42, I43) [1 + I40 <= I42]
19.16/19.36	  f1#(I48, I49, I50, I51) -> f3#(I48, I49, I50, rnd4) [rnd4 = rnd4 /\ 1 + I48 <= I50]
19.16/19.36	  f1#(I52, I53, I54, I55) -> f2#(I52, I53, I54, I55) [I54 <= I52]
19.16/19.36	R = 
19.16/19.36	  f11(x1, x2, x3, x4) -> f10(x1, x2, x3, x4) 
19.16/19.36	  f10(I0, I1, I2, I3) -> f7(0, I1, I2, I3) 
19.16/19.36	  f3(I4, I5, I6, I7) -> f9(I4, I5, I6, I7) [1 + I7 <= 0]
19.16/19.36	  f3(I8, I9, I10, I11) -> f9(I8, I9, I10, I11) [1 <= I11]
19.16/19.36	  f3(I12, I13, I14, I15) -> f2(I12, I13, I14, I15) [0 <= I15 /\ I15 <= 0]
19.16/19.36	  f9(I16, I17, I18, I19) -> f6(1 + I16, 1 + I17, I18, I19) 
19.16/19.36	  f8(I20, I21, I22, I23) -> f7(-1 + I20, I21, I22, I23) [1 <= I21]
19.16/19.36	  f8(I24, I25, I26, I27) -> f7(I24, I25, I26, I27) [I25 <= 0]
19.16/19.36	  f2(I28, I29, I30, I31) -> f8(I28, I29, I30, I31) 
19.16/19.36	  f6(I32, I33, I34, I35) -> f1(I32, I33, I34, I35) 
19.16/19.36	  f7(I36, I37, I38, I39) -> f4(I36, I37, I38, I39) 
19.16/19.36	  f4(I40, I41, I42, I43) -> f6(1 + I40, 0, I42, I43) [1 + I40 <= I42]
19.16/19.36	  f4(I44, I45, I46, I47) -> f5(I44, I45, I46, I47) [I46 <= I44]
19.16/19.36	  f1(I48, I49, I50, I51) -> f3(I48, I49, I50, rnd4) [rnd4 = rnd4 /\ 1 + I48 <= I50]
19.16/19.36	  f1(I52, I53, I54, I55) -> f2(I52, I53, I54, I55) [I54 <= I52]
19.16/19.36	
19.16/22.33	EOF