2.24/2.56	MAYBE
2.24/2.56	
2.24/2.56	DP problem for innermost termination.
2.24/2.56	P =
2.24/2.56	  init#(x1, x2, x3, x4, x5) -> f1#(rnd1, rnd2, rnd3, rnd4, rnd5) 
2.24/2.56	  f5#(I0, I1, I2, I3, I4) -> f5#(I5, I6, I7, I8, I9) [0 <= I8 - 1 /\ 2 <= I7 - 1 /\ 0 <= I6 - 1 /\ 0 <= I5 - 1 /\ 0 <= I3 - 1 /\ 2 <= I2 - 1 /\ 2 <= I1 - 1 /\ 2 <= I0 - 1 /\ I8 <= I3 /\ I8 + 2 <= I2 /\ I7 - 2 <= I3 /\ I7 <= I2 /\ I6 + 2 <= I1 /\ I5 + 2 <= I0]
2.24/2.56	  f5#(I10, I11, I12, I13, I14) -> f5#(I15, I16, I17, I18, I19) [0 <= I18 - 1 /\ 2 <= I17 - 1 /\ 2 <= I16 - 1 /\ 0 <= I15 - 1 /\ 0 <= I13 - 1 /\ 2 <= I12 - 1 /\ 1 <= I11 - 1 /\ 0 <= I10 - 1 /\ I18 <= I13 /\ I18 + 2 <= I12 /\ I17 - 2 <= I13 /\ I17 <= I12 /\ I16 - 2 <= I13 /\ I16 <= I12 /\ I15 <= I10]
2.24/2.56	  f3#(I20, I21, I22, I23, I24) -> f5#(I25, I26, I27, I28, I29) [I24 + 2 <= I21 /\ -1 <= I28 - 1 /\ 0 <= I27 - 1 /\ 0 <= I26 - 1 /\ 0 <= I25 - 1 /\ 0 <= I22 - 1 /\ 0 <= I21 - 1 /\ 0 <= I20 - 1 /\ I28 + 1 <= I22 /\ I27 <= I22 /\ I26 <= I22 /\ 1 <= I23 - 1 /\ I25 <= I21]
2.24/2.56	  f4#(I30, I31, I32, I33, I34) -> f4#(I30 - 1, I35, I36, I37, I38) [I30 - 1 <= I30 - 1 /\ 0 <= I30 - 1]
2.24/2.56	  f2#(I39, I40, I41, I42, I43) -> f4#(I44, I45, I46, I47, I48) [0 <= I40 - 1 /\ 0 <= I39 - 1 /\ 1 <= I41 - 1 /\ -1 <= I44 - 1]
2.24/2.56	  f1#(I49, I50, I51, I52, I53) -> f4#(I54, I55, I56, I57, I58) [0 <= I49 - 1 /\ 0 <= I50 - 1 /\ -1 <= I54 - 1]
2.24/2.56	  f2#(I59, I60, I61, I62, I63) -> f3#(I64, I65, I66, I61, I67) [-1 <= y1 - 1 /\ 1 <= I61 - 1 /\ I64 <= I59 /\ I64 <= I60 /\ I65 <= I59 /\ 0 <= I59 - 1 /\ 0 <= I60 - 1 /\ 0 <= I64 - 1 /\ 0 <= I65 - 1 /\ 2 <= I66 - 1 /\ I67 + 2 <= I59]
2.24/2.56	  f2#(I68, I69, I70, I71, I72) -> f3#(I73, I74, I75, I70, I76) [I76 + 2 <= I68 /\ 1 <= I75 - 1 /\ 0 <= I74 - 1 /\ 0 <= I73 - 1 /\ 0 <= I69 - 1 /\ 0 <= I68 - 1 /\ I75 - 1 <= I69 /\ I75 - 1 <= I68 /\ I74 <= I68 /\ I73 <= I69 /\ 1 <= I70 - 1 /\ I73 <= I68]
2.24/2.56	  f1#(I77, I78, I79, I80, I81) -> f2#(I82, I83, I78, I84, I85) [0 <= I83 - 1 /\ 1 <= I82 - 1 /\ 0 <= I77 - 1 /\ I83 <= I77 /\ 0 <= I78 - 1 /\ I82 - 1 <= I77]
2.24/2.56	  f1#(I86, I87, I88, I89, I90) -> f2#(I91, I92, I87, I93, I94) [-1 <= I95 - 1 /\ 0 <= I87 - 1 /\ I92 <= I86 /\ 0 <= I86 - 1 /\ 2 <= I91 - 1 /\ 0 <= I92 - 1]
2.24/2.56	R = 
2.24/2.56	  init(x1, x2, x3, x4, x5) -> f1(rnd1, rnd2, rnd3, rnd4, rnd5) 
2.24/2.56	  f5(I0, I1, I2, I3, I4) -> f5(I5, I6, I7, I8, I9) [0 <= I8 - 1 /\ 2 <= I7 - 1 /\ 0 <= I6 - 1 /\ 0 <= I5 - 1 /\ 0 <= I3 - 1 /\ 2 <= I2 - 1 /\ 2 <= I1 - 1 /\ 2 <= I0 - 1 /\ I8 <= I3 /\ I8 + 2 <= I2 /\ I7 - 2 <= I3 /\ I7 <= I2 /\ I6 + 2 <= I1 /\ I5 + 2 <= I0]
2.24/2.56	  f5(I10, I11, I12, I13, I14) -> f5(I15, I16, I17, I18, I19) [0 <= I18 - 1 /\ 2 <= I17 - 1 /\ 2 <= I16 - 1 /\ 0 <= I15 - 1 /\ 0 <= I13 - 1 /\ 2 <= I12 - 1 /\ 1 <= I11 - 1 /\ 0 <= I10 - 1 /\ I18 <= I13 /\ I18 + 2 <= I12 /\ I17 - 2 <= I13 /\ I17 <= I12 /\ I16 - 2 <= I13 /\ I16 <= I12 /\ I15 <= I10]
2.24/2.56	  f3(I20, I21, I22, I23, I24) -> f5(I25, I26, I27, I28, I29) [I24 + 2 <= I21 /\ -1 <= I28 - 1 /\ 0 <= I27 - 1 /\ 0 <= I26 - 1 /\ 0 <= I25 - 1 /\ 0 <= I22 - 1 /\ 0 <= I21 - 1 /\ 0 <= I20 - 1 /\ I28 + 1 <= I22 /\ I27 <= I22 /\ I26 <= I22 /\ 1 <= I23 - 1 /\ I25 <= I21]
2.24/2.56	  f4(I30, I31, I32, I33, I34) -> f4(I30 - 1, I35, I36, I37, I38) [I30 - 1 <= I30 - 1 /\ 0 <= I30 - 1]
2.24/2.56	  f2(I39, I40, I41, I42, I43) -> f4(I44, I45, I46, I47, I48) [0 <= I40 - 1 /\ 0 <= I39 - 1 /\ 1 <= I41 - 1 /\ -1 <= I44 - 1]
2.24/2.56	  f1(I49, I50, I51, I52, I53) -> f4(I54, I55, I56, I57, I58) [0 <= I49 - 1 /\ 0 <= I50 - 1 /\ -1 <= I54 - 1]
2.24/2.56	  f2(I59, I60, I61, I62, I63) -> f3(I64, I65, I66, I61, I67) [-1 <= y1 - 1 /\ 1 <= I61 - 1 /\ I64 <= I59 /\ I64 <= I60 /\ I65 <= I59 /\ 0 <= I59 - 1 /\ 0 <= I60 - 1 /\ 0 <= I64 - 1 /\ 0 <= I65 - 1 /\ 2 <= I66 - 1 /\ I67 + 2 <= I59]
2.24/2.56	  f2(I68, I69, I70, I71, I72) -> f3(I73, I74, I75, I70, I76) [I76 + 2 <= I68 /\ 1 <= I75 - 1 /\ 0 <= I74 - 1 /\ 0 <= I73 - 1 /\ 0 <= I69 - 1 /\ 0 <= I68 - 1 /\ I75 - 1 <= I69 /\ I75 - 1 <= I68 /\ I74 <= I68 /\ I73 <= I69 /\ 1 <= I70 - 1 /\ I73 <= I68]
2.24/2.56	  f1(I77, I78, I79, I80, I81) -> f2(I82, I83, I78, I84, I85) [0 <= I83 - 1 /\ 1 <= I82 - 1 /\ 0 <= I77 - 1 /\ I83 <= I77 /\ 0 <= I78 - 1 /\ I82 - 1 <= I77]
2.24/2.56	  f1(I86, I87, I88, I89, I90) -> f2(I91, I92, I87, I93, I94) [-1 <= I95 - 1 /\ 0 <= I87 - 1 /\ I92 <= I86 /\ 0 <= I86 - 1 /\ 2 <= I91 - 1 /\ 0 <= I92 - 1]
2.24/2.56	
2.24/2.56	The dependency graph for this problem is:
2.24/2.56	  0 -> 6, 9, 10
2.24/2.56	  1 -> 1, 2
2.24/2.56	  2 -> 1, 2
2.24/2.56	  3 -> 1, 2
2.24/2.56	  4 -> 4
2.24/2.56	  5 -> 4
2.24/2.56	  6 -> 4
2.24/2.56	  7 -> 3
2.24/2.56	  8 -> 3
2.24/2.56	  9 -> 5, 7, 8
2.24/2.56	  10 -> 5, 7, 8
2.24/2.56	Where:
2.24/2.56	  0) init#(x1, x2, x3, x4, x5) -> f1#(rnd1, rnd2, rnd3, rnd4, rnd5) 
2.24/2.56	  1) f5#(I0, I1, I2, I3, I4) -> f5#(I5, I6, I7, I8, I9) [0 <= I8 - 1 /\ 2 <= I7 - 1 /\ 0 <= I6 - 1 /\ 0 <= I5 - 1 /\ 0 <= I3 - 1 /\ 2 <= I2 - 1 /\ 2 <= I1 - 1 /\ 2 <= I0 - 1 /\ I8 <= I3 /\ I8 + 2 <= I2 /\ I7 - 2 <= I3 /\ I7 <= I2 /\ I6 + 2 <= I1 /\ I5 + 2 <= I0]
2.24/2.56	  2) f5#(I10, I11, I12, I13, I14) -> f5#(I15, I16, I17, I18, I19) [0 <= I18 - 1 /\ 2 <= I17 - 1 /\ 2 <= I16 - 1 /\ 0 <= I15 - 1 /\ 0 <= I13 - 1 /\ 2 <= I12 - 1 /\ 1 <= I11 - 1 /\ 0 <= I10 - 1 /\ I18 <= I13 /\ I18 + 2 <= I12 /\ I17 - 2 <= I13 /\ I17 <= I12 /\ I16 - 2 <= I13 /\ I16 <= I12 /\ I15 <= I10]
2.24/2.56	  3) f3#(I20, I21, I22, I23, I24) -> f5#(I25, I26, I27, I28, I29) [I24 + 2 <= I21 /\ -1 <= I28 - 1 /\ 0 <= I27 - 1 /\ 0 <= I26 - 1 /\ 0 <= I25 - 1 /\ 0 <= I22 - 1 /\ 0 <= I21 - 1 /\ 0 <= I20 - 1 /\ I28 + 1 <= I22 /\ I27 <= I22 /\ I26 <= I22 /\ 1 <= I23 - 1 /\ I25 <= I21]
2.24/2.56	  4) f4#(I30, I31, I32, I33, I34) -> f4#(I30 - 1, I35, I36, I37, I38) [I30 - 1 <= I30 - 1 /\ 0 <= I30 - 1]
2.24/2.56	  5) f2#(I39, I40, I41, I42, I43) -> f4#(I44, I45, I46, I47, I48) [0 <= I40 - 1 /\ 0 <= I39 - 1 /\ 1 <= I41 - 1 /\ -1 <= I44 - 1]
2.24/2.56	  6) f1#(I49, I50, I51, I52, I53) -> f4#(I54, I55, I56, I57, I58) [0 <= I49 - 1 /\ 0 <= I50 - 1 /\ -1 <= I54 - 1]
2.24/2.56	  7) f2#(I59, I60, I61, I62, I63) -> f3#(I64, I65, I66, I61, I67) [-1 <= y1 - 1 /\ 1 <= I61 - 1 /\ I64 <= I59 /\ I64 <= I60 /\ I65 <= I59 /\ 0 <= I59 - 1 /\ 0 <= I60 - 1 /\ 0 <= I64 - 1 /\ 0 <= I65 - 1 /\ 2 <= I66 - 1 /\ I67 + 2 <= I59]
2.24/2.56	  8) f2#(I68, I69, I70, I71, I72) -> f3#(I73, I74, I75, I70, I76) [I76 + 2 <= I68 /\ 1 <= I75 - 1 /\ 0 <= I74 - 1 /\ 0 <= I73 - 1 /\ 0 <= I69 - 1 /\ 0 <= I68 - 1 /\ I75 - 1 <= I69 /\ I75 - 1 <= I68 /\ I74 <= I68 /\ I73 <= I69 /\ 1 <= I70 - 1 /\ I73 <= I68]
2.24/2.56	  9) f1#(I77, I78, I79, I80, I81) -> f2#(I82, I83, I78, I84, I85) [0 <= I83 - 1 /\ 1 <= I82 - 1 /\ 0 <= I77 - 1 /\ I83 <= I77 /\ 0 <= I78 - 1 /\ I82 - 1 <= I77]
2.24/2.56	  10) f1#(I86, I87, I88, I89, I90) -> f2#(I91, I92, I87, I93, I94) [-1 <= I95 - 1 /\ 0 <= I87 - 1 /\ I92 <= I86 /\ 0 <= I86 - 1 /\ 2 <= I91 - 1 /\ 0 <= I92 - 1]
2.24/2.56	
2.24/2.56	We have the following SCCs.
2.24/2.56	  { 1, 2 }
2.24/2.56	  { 4 }
2.24/2.56	
2.24/2.56	DP problem for innermost termination.
2.24/2.56	P =
2.24/2.56	  f4#(I30, I31, I32, I33, I34) -> f4#(I30 - 1, I35, I36, I37, I38) [I30 - 1 <= I30 - 1 /\ 0 <= I30 - 1]
2.24/2.56	R = 
2.24/2.56	  init(x1, x2, x3, x4, x5) -> f1(rnd1, rnd2, rnd3, rnd4, rnd5) 
2.24/2.56	  f5(I0, I1, I2, I3, I4) -> f5(I5, I6, I7, I8, I9) [0 <= I8 - 1 /\ 2 <= I7 - 1 /\ 0 <= I6 - 1 /\ 0 <= I5 - 1 /\ 0 <= I3 - 1 /\ 2 <= I2 - 1 /\ 2 <= I1 - 1 /\ 2 <= I0 - 1 /\ I8 <= I3 /\ I8 + 2 <= I2 /\ I7 - 2 <= I3 /\ I7 <= I2 /\ I6 + 2 <= I1 /\ I5 + 2 <= I0]
2.24/2.56	  f5(I10, I11, I12, I13, I14) -> f5(I15, I16, I17, I18, I19) [0 <= I18 - 1 /\ 2 <= I17 - 1 /\ 2 <= I16 - 1 /\ 0 <= I15 - 1 /\ 0 <= I13 - 1 /\ 2 <= I12 - 1 /\ 1 <= I11 - 1 /\ 0 <= I10 - 1 /\ I18 <= I13 /\ I18 + 2 <= I12 /\ I17 - 2 <= I13 /\ I17 <= I12 /\ I16 - 2 <= I13 /\ I16 <= I12 /\ I15 <= I10]
2.24/2.56	  f3(I20, I21, I22, I23, I24) -> f5(I25, I26, I27, I28, I29) [I24 + 2 <= I21 /\ -1 <= I28 - 1 /\ 0 <= I27 - 1 /\ 0 <= I26 - 1 /\ 0 <= I25 - 1 /\ 0 <= I22 - 1 /\ 0 <= I21 - 1 /\ 0 <= I20 - 1 /\ I28 + 1 <= I22 /\ I27 <= I22 /\ I26 <= I22 /\ 1 <= I23 - 1 /\ I25 <= I21]
2.24/2.56	  f4(I30, I31, I32, I33, I34) -> f4(I30 - 1, I35, I36, I37, I38) [I30 - 1 <= I30 - 1 /\ 0 <= I30 - 1]
2.24/2.56	  f2(I39, I40, I41, I42, I43) -> f4(I44, I45, I46, I47, I48) [0 <= I40 - 1 /\ 0 <= I39 - 1 /\ 1 <= I41 - 1 /\ -1 <= I44 - 1]
2.24/2.56	  f1(I49, I50, I51, I52, I53) -> f4(I54, I55, I56, I57, I58) [0 <= I49 - 1 /\ 0 <= I50 - 1 /\ -1 <= I54 - 1]
2.24/2.56	  f2(I59, I60, I61, I62, I63) -> f3(I64, I65, I66, I61, I67) [-1 <= y1 - 1 /\ 1 <= I61 - 1 /\ I64 <= I59 /\ I64 <= I60 /\ I65 <= I59 /\ 0 <= I59 - 1 /\ 0 <= I60 - 1 /\ 0 <= I64 - 1 /\ 0 <= I65 - 1 /\ 2 <= I66 - 1 /\ I67 + 2 <= I59]
2.24/2.56	  f2(I68, I69, I70, I71, I72) -> f3(I73, I74, I75, I70, I76) [I76 + 2 <= I68 /\ 1 <= I75 - 1 /\ 0 <= I74 - 1 /\ 0 <= I73 - 1 /\ 0 <= I69 - 1 /\ 0 <= I68 - 1 /\ I75 - 1 <= I69 /\ I75 - 1 <= I68 /\ I74 <= I68 /\ I73 <= I69 /\ 1 <= I70 - 1 /\ I73 <= I68]
2.24/2.56	  f1(I77, I78, I79, I80, I81) -> f2(I82, I83, I78, I84, I85) [0 <= I83 - 1 /\ 1 <= I82 - 1 /\ 0 <= I77 - 1 /\ I83 <= I77 /\ 0 <= I78 - 1 /\ I82 - 1 <= I77]
2.24/2.56	  f1(I86, I87, I88, I89, I90) -> f2(I91, I92, I87, I93, I94) [-1 <= I95 - 1 /\ 0 <= I87 - 1 /\ I92 <= I86 /\ 0 <= I86 - 1 /\ 2 <= I91 - 1 /\ 0 <= I92 - 1]
2.24/2.56	
2.24/2.56	We use the basic value criterion with the projection function NU:
2.24/2.56	  NU[f4#(z1,z2,z3,z4,z5)] = z1
2.24/2.56	
2.24/2.56	This gives the following inequalities:
2.24/2.56	  I30 - 1 <= I30 - 1 /\ 0 <= I30 - 1  ==>  I30 >! I30 - 1
2.24/2.56	
2.24/2.56	All dependency pairs are strictly oriented, so the entire dependency pair problem may be removed.
2.24/2.56	
2.24/2.56	DP problem for innermost termination.
2.24/2.56	P =
2.24/2.56	  f5#(I0, I1, I2, I3, I4) -> f5#(I5, I6, I7, I8, I9) [0 <= I8 - 1 /\ 2 <= I7 - 1 /\ 0 <= I6 - 1 /\ 0 <= I5 - 1 /\ 0 <= I3 - 1 /\ 2 <= I2 - 1 /\ 2 <= I1 - 1 /\ 2 <= I0 - 1 /\ I8 <= I3 /\ I8 + 2 <= I2 /\ I7 - 2 <= I3 /\ I7 <= I2 /\ I6 + 2 <= I1 /\ I5 + 2 <= I0]
2.24/2.56	  f5#(I10, I11, I12, I13, I14) -> f5#(I15, I16, I17, I18, I19) [0 <= I18 - 1 /\ 2 <= I17 - 1 /\ 2 <= I16 - 1 /\ 0 <= I15 - 1 /\ 0 <= I13 - 1 /\ 2 <= I12 - 1 /\ 1 <= I11 - 1 /\ 0 <= I10 - 1 /\ I18 <= I13 /\ I18 + 2 <= I12 /\ I17 - 2 <= I13 /\ I17 <= I12 /\ I16 - 2 <= I13 /\ I16 <= I12 /\ I15 <= I10]
2.24/2.56	R = 
2.24/2.56	  init(x1, x2, x3, x4, x5) -> f1(rnd1, rnd2, rnd3, rnd4, rnd5) 
2.24/2.56	  f5(I0, I1, I2, I3, I4) -> f5(I5, I6, I7, I8, I9) [0 <= I8 - 1 /\ 2 <= I7 - 1 /\ 0 <= I6 - 1 /\ 0 <= I5 - 1 /\ 0 <= I3 - 1 /\ 2 <= I2 - 1 /\ 2 <= I1 - 1 /\ 2 <= I0 - 1 /\ I8 <= I3 /\ I8 + 2 <= I2 /\ I7 - 2 <= I3 /\ I7 <= I2 /\ I6 + 2 <= I1 /\ I5 + 2 <= I0]
2.24/2.56	  f5(I10, I11, I12, I13, I14) -> f5(I15, I16, I17, I18, I19) [0 <= I18 - 1 /\ 2 <= I17 - 1 /\ 2 <= I16 - 1 /\ 0 <= I15 - 1 /\ 0 <= I13 - 1 /\ 2 <= I12 - 1 /\ 1 <= I11 - 1 /\ 0 <= I10 - 1 /\ I18 <= I13 /\ I18 + 2 <= I12 /\ I17 - 2 <= I13 /\ I17 <= I12 /\ I16 - 2 <= I13 /\ I16 <= I12 /\ I15 <= I10]
2.24/2.56	  f3(I20, I21, I22, I23, I24) -> f5(I25, I26, I27, I28, I29) [I24 + 2 <= I21 /\ -1 <= I28 - 1 /\ 0 <= I27 - 1 /\ 0 <= I26 - 1 /\ 0 <= I25 - 1 /\ 0 <= I22 - 1 /\ 0 <= I21 - 1 /\ 0 <= I20 - 1 /\ I28 + 1 <= I22 /\ I27 <= I22 /\ I26 <= I22 /\ 1 <= I23 - 1 /\ I25 <= I21]
2.24/2.56	  f4(I30, I31, I32, I33, I34) -> f4(I30 - 1, I35, I36, I37, I38) [I30 - 1 <= I30 - 1 /\ 0 <= I30 - 1]
2.24/2.56	  f2(I39, I40, I41, I42, I43) -> f4(I44, I45, I46, I47, I48) [0 <= I40 - 1 /\ 0 <= I39 - 1 /\ 1 <= I41 - 1 /\ -1 <= I44 - 1]
2.24/2.56	  f1(I49, I50, I51, I52, I53) -> f4(I54, I55, I56, I57, I58) [0 <= I49 - 1 /\ 0 <= I50 - 1 /\ -1 <= I54 - 1]
2.24/2.56	  f2(I59, I60, I61, I62, I63) -> f3(I64, I65, I66, I61, I67) [-1 <= y1 - 1 /\ 1 <= I61 - 1 /\ I64 <= I59 /\ I64 <= I60 /\ I65 <= I59 /\ 0 <= I59 - 1 /\ 0 <= I60 - 1 /\ 0 <= I64 - 1 /\ 0 <= I65 - 1 /\ 2 <= I66 - 1 /\ I67 + 2 <= I59]
2.24/2.56	  f2(I68, I69, I70, I71, I72) -> f3(I73, I74, I75, I70, I76) [I76 + 2 <= I68 /\ 1 <= I75 - 1 /\ 0 <= I74 - 1 /\ 0 <= I73 - 1 /\ 0 <= I69 - 1 /\ 0 <= I68 - 1 /\ I75 - 1 <= I69 /\ I75 - 1 <= I68 /\ I74 <= I68 /\ I73 <= I69 /\ 1 <= I70 - 1 /\ I73 <= I68]
2.24/2.56	  f1(I77, I78, I79, I80, I81) -> f2(I82, I83, I78, I84, I85) [0 <= I83 - 1 /\ 1 <= I82 - 1 /\ 0 <= I77 - 1 /\ I83 <= I77 /\ 0 <= I78 - 1 /\ I82 - 1 <= I77]
2.24/2.56	  f1(I86, I87, I88, I89, I90) -> f2(I91, I92, I87, I93, I94) [-1 <= I95 - 1 /\ 0 <= I87 - 1 /\ I92 <= I86 /\ 0 <= I86 - 1 /\ 2 <= I91 - 1 /\ 0 <= I92 - 1]
2.24/2.56	
2.24/2.56	We use the basic value criterion with the projection function NU:
2.24/2.56	  NU[f5#(z1,z2,z3,z4,z5)] = z1
2.24/2.56	
2.24/2.56	This gives the following inequalities:
2.24/2.56	  0 <= I8 - 1 /\ 2 <= I7 - 1 /\ 0 <= I6 - 1 /\ 0 <= I5 - 1 /\ 0 <= I3 - 1 /\ 2 <= I2 - 1 /\ 2 <= I1 - 1 /\ 2 <= I0 - 1 /\ I8 <= I3 /\ I8 + 2 <= I2 /\ I7 - 2 <= I3 /\ I7 <= I2 /\ I6 + 2 <= I1 /\ I5 + 2 <= I0  ==>  I0 >! I5
2.24/2.56	  0 <= I18 - 1 /\ 2 <= I17 - 1 /\ 2 <= I16 - 1 /\ 0 <= I15 - 1 /\ 0 <= I13 - 1 /\ 2 <= I12 - 1 /\ 1 <= I11 - 1 /\ 0 <= I10 - 1 /\ I18 <= I13 /\ I18 + 2 <= I12 /\ I17 - 2 <= I13 /\ I17 <= I12 /\ I16 - 2 <= I13 /\ I16 <= I12 /\ I15 <= I10  ==>  I10 (>! \union =) I15
2.24/2.56	
2.24/2.56	We remove all the strictly oriented dependency pairs.
2.24/2.56	
2.24/2.56	DP problem for innermost termination.
2.24/2.56	P =
2.24/2.56	  f5#(I10, I11, I12, I13, I14) -> f5#(I15, I16, I17, I18, I19) [0 <= I18 - 1 /\ 2 <= I17 - 1 /\ 2 <= I16 - 1 /\ 0 <= I15 - 1 /\ 0 <= I13 - 1 /\ 2 <= I12 - 1 /\ 1 <= I11 - 1 /\ 0 <= I10 - 1 /\ I18 <= I13 /\ I18 + 2 <= I12 /\ I17 - 2 <= I13 /\ I17 <= I12 /\ I16 - 2 <= I13 /\ I16 <= I12 /\ I15 <= I10]
2.24/2.56	R = 
2.24/2.56	  init(x1, x2, x3, x4, x5) -> f1(rnd1, rnd2, rnd3, rnd4, rnd5) 
2.24/2.56	  f5(I0, I1, I2, I3, I4) -> f5(I5, I6, I7, I8, I9) [0 <= I8 - 1 /\ 2 <= I7 - 1 /\ 0 <= I6 - 1 /\ 0 <= I5 - 1 /\ 0 <= I3 - 1 /\ 2 <= I2 - 1 /\ 2 <= I1 - 1 /\ 2 <= I0 - 1 /\ I8 <= I3 /\ I8 + 2 <= I2 /\ I7 - 2 <= I3 /\ I7 <= I2 /\ I6 + 2 <= I1 /\ I5 + 2 <= I0]
2.24/2.56	  f5(I10, I11, I12, I13, I14) -> f5(I15, I16, I17, I18, I19) [0 <= I18 - 1 /\ 2 <= I17 - 1 /\ 2 <= I16 - 1 /\ 0 <= I15 - 1 /\ 0 <= I13 - 1 /\ 2 <= I12 - 1 /\ 1 <= I11 - 1 /\ 0 <= I10 - 1 /\ I18 <= I13 /\ I18 + 2 <= I12 /\ I17 - 2 <= I13 /\ I17 <= I12 /\ I16 - 2 <= I13 /\ I16 <= I12 /\ I15 <= I10]
2.24/2.56	  f3(I20, I21, I22, I23, I24) -> f5(I25, I26, I27, I28, I29) [I24 + 2 <= I21 /\ -1 <= I28 - 1 /\ 0 <= I27 - 1 /\ 0 <= I26 - 1 /\ 0 <= I25 - 1 /\ 0 <= I22 - 1 /\ 0 <= I21 - 1 /\ 0 <= I20 - 1 /\ I28 + 1 <= I22 /\ I27 <= I22 /\ I26 <= I22 /\ 1 <= I23 - 1 /\ I25 <= I21]
2.24/2.56	  f4(I30, I31, I32, I33, I34) -> f4(I30 - 1, I35, I36, I37, I38) [I30 - 1 <= I30 - 1 /\ 0 <= I30 - 1]
2.24/2.56	  f2(I39, I40, I41, I42, I43) -> f4(I44, I45, I46, I47, I48) [0 <= I40 - 1 /\ 0 <= I39 - 1 /\ 1 <= I41 - 1 /\ -1 <= I44 - 1]
2.24/2.56	  f1(I49, I50, I51, I52, I53) -> f4(I54, I55, I56, I57, I58) [0 <= I49 - 1 /\ 0 <= I50 - 1 /\ -1 <= I54 - 1]
2.24/2.56	  f2(I59, I60, I61, I62, I63) -> f3(I64, I65, I66, I61, I67) [-1 <= y1 - 1 /\ 1 <= I61 - 1 /\ I64 <= I59 /\ I64 <= I60 /\ I65 <= I59 /\ 0 <= I59 - 1 /\ 0 <= I60 - 1 /\ 0 <= I64 - 1 /\ 0 <= I65 - 1 /\ 2 <= I66 - 1 /\ I67 + 2 <= I59]
2.24/2.56	  f2(I68, I69, I70, I71, I72) -> f3(I73, I74, I75, I70, I76) [I76 + 2 <= I68 /\ 1 <= I75 - 1 /\ 0 <= I74 - 1 /\ 0 <= I73 - 1 /\ 0 <= I69 - 1 /\ 0 <= I68 - 1 /\ I75 - 1 <= I69 /\ I75 - 1 <= I68 /\ I74 <= I68 /\ I73 <= I69 /\ 1 <= I70 - 1 /\ I73 <= I68]
2.24/2.56	  f1(I77, I78, I79, I80, I81) -> f2(I82, I83, I78, I84, I85) [0 <= I83 - 1 /\ 1 <= I82 - 1 /\ 0 <= I77 - 1 /\ I83 <= I77 /\ 0 <= I78 - 1 /\ I82 - 1 <= I77]
2.24/2.56	  f1(I86, I87, I88, I89, I90) -> f2(I91, I92, I87, I93, I94) [-1 <= I95 - 1 /\ 0 <= I87 - 1 /\ I92 <= I86 /\ 0 <= I86 - 1 /\ 2 <= I91 - 1 /\ 0 <= I92 - 1]
2.24/2.56	
2.24/5.53	EOF