ITS pair #487099876

details
property	value
status	complete
benchmark	Kernel88.jar-obl-9.smt2
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n149.star.cs.uiowa.edu
space	From_AProVE_2014
run statistics
property	value
solver	Ctrl
configuration	Transition
runtime (wallclock)	10.2201 seconds
cpu usage	10.2386
user time	6.13854
system time	4.10002
max virtual memory	721496.0
max residence set size	8728.0
stage attributes
key	value
starexec-result	YES
output
YES

DP problem for innermost termination.
P =
  init#(x1, x2, x3, x4, x5, x6, x7) -> f1#(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6, rnd7) 
  f5#(I0, I1, I2, I3, I4, I5, I6) -> f5#(I0 - 1, I7, I8, I9, I10, I11, I12) [0 <= I0 - 1]
  f1#(I13, I14, I15, I16, I17, I18, I19) -> f5#(I20, I21, I22, I23, I24, I25, I26) [-1 <= y2 - 1 /\ 1 <= I14 - 1 /\ -1 <= y1 - 1 /\ 0 <= I13 - 1 /\ y1 - 1 = I20]
  f4#(I27, I28, I29, I30, I31, I32, I33) -> f3#(I34, 1, I35, I36, I37, 0, I38) [-1 <= I32 - 1 /\ 0 <= I29 - 1 /\ I32 <= I28 - 1 /\ I32 <= I39 - 1 /\ I32 <= I29 - 1 /\ I33 <= I39 - 1 /\ -1 <= I33 - 1 /\ I33 <= I31 - 1 /\ I33 <= I29 - 1 /\ I27 - 2 * I40 = 0 /\ I36 <= I29 - 1 /\ I37 <= I39 - 1 /\ I34 <= I27 /\ -1 <= I39 - 1 /\ 0 <= I27 - 2 * I40 /\ I27 - 2 * I40 <= 1 /\ I27 - 2 * I34 <= 1 /\ 0 <= I27 - 2 * I34 /\ I29 = I30 /\ I37 = I38]
  f3#(I41, I42, I43, I44, I45, I46, I47) -> f4#(I41, I42, I43, I43, I45, I46, I47) [-1 <= I46 - 1 /\ 0 <= I43 - 1 /\ I46 <= I42 - 1 /\ I46 <= I48 - 1 /\ I46 <= I43 - 1 /\ I47 <= I48 - 1 /\ -1 <= I47 - 1 /\ I47 <= I45 - 1 /\ I47 <= I43 - 1 /\ I41 - 2 * I49 = 0 /\ y3 <= I43 - 1 /\ y4 <= I48 - 1 /\ -1 <= I48 - 1 /\ y5 <= I41 /\ I43 = I44]
  f4#(I50, I51, I52, I53, I54, I55, I56) -> f3#(I57, I58, I52, I59, I60, I51, I61) [0 <= I62 - 1 /\ 0 <= I53 - 1 /\ 0 <= I54 - 1 /\ -1 <= I55 - 1 /\ I55 <= I51 - 1 /\ I55 <= I63 - 1 /\ I55 <= I52 - 1 /\ I56 <= I62 - 1 /\ -1 <= I56 - 1 /\ I56 <= I54 - 1 /\ I59 <= I53 - 1 /\ I56 <= I53 - 1 /\ I50 - 2 * I64 = 0 /\ I61 <= I62 - 1 /\ 0 <= I63 - 1 /\ 0 <= I51 - 1 /\ I60 <= I54 - 1 /\ I57 <= I50 /\ 0 <= I50 - 2 * I64 /\ I50 - 2 * I64 <= 1 /\ I50 - 2 * I57 <= 1 /\ 0 <= I50 - 2 * I57]
  f3#(I65, I66, I67, I68, I69, I70, I71) -> f4#(I65, I66, I67, I68, I69, I70, I71) [0 <= I72 - 1 /\ 0 <= I68 - 1 /\ 0 <= I69 - 1 /\ -1 <= I70 - 1 /\ I70 <= I66 - 1 /\ I70 <= I73 - 1 /\ I70 <= I67 - 1 /\ I71 <= I72 - 1 /\ -1 <= I71 - 1 /\ I71 <= I69 - 1 /\ I74 <= I68 - 1 /\ I71 <= I68 - 1 /\ I65 - 2 * I75 = 0 /\ I76 <= I72 - 1 /\ 0 <= I73 - 1 /\ 0 <= I66 - 1 /\ y6 <= I65 /\ y7 <= I69 - 1]
  f2#(I77, I78, I79, I80, I81, I82, I83) -> f3#(I77, 0, I78, I78, 0, I78, I78) [0 <= I78 - 1]
  f1#(I84, I85, I86, I87, I88, I89, I90) -> f2#(I91, I92, I93, I94, I95, I96, I97) [-1 <= I98 - 1 /\ 1 <= I85 - 1 /\ I92 <= 0 /\ -1 <= I91 - 1 /\ 0 <= I84 - 1]
  f1#(I99, I100, I101, I102, I103, I104, I105) -> f2#(I106, I107, I108, I109, I110, I111, I112) [-1 <= I113 - 1 /\ 1 <= I100 - 1 /\ -1 <= I106 - 1 /\ I107 <= I114 - 1 /\ -1 <= I114 - 1 /\ 0 <= I99 - 1]
R = 
  init(x1, x2, x3, x4, x5, x6, x7) -> f1(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6, rnd7) 
  f5(I0, I1, I2, I3, I4, I5, I6) -> f5(I0 - 1, I7, I8, I9, I10, I11, I12) [0 <= I0 - 1]
  f1(I13, I14, I15, I16, I17, I18, I19) -> f5(I20, I21, I22, I23, I24, I25, I26) [-1 <= y2 - 1 /\ 1 <= I14 - 1 /\ -1 <= y1 - 1 /\ 0 <= I13 - 1 /\ y1 - 1 = I20]
  f4(I27, I28, I29, I30, I31, I32, I33) -> f3(I34, 1, I35, I36, I37, 0, I38) [-1 <= I32 - 1 /\ 0 <= I29 - 1 /\ I32 <= I28 - 1 /\ I32 <= I39 - 1 /\ I32 <= I29 - 1 /\ I33 <= I39 - 1 /\ -1 <= I33 - 1 /\ I33 <= I31 - 1 /\ I33 <= I29 - 1 /\ I27 - 2 * I40 = 0 /\ I36 <= I29 - 1 /\ I37 <= I39 - 1 /\ I34 <= I27 /\ -1 <= I39 - 1 /\ 0 <= I27 - 2 * I40 /\ I27 - 2 * I40 <= 1 /\ I27 - 2 * I34 <= 1 /\ 0 <= I27 - 2 * I34 /\ I29 = I30 /\ I37 = I38]
  f3(I41, I42, I43, I44, I45, I46, I47) -> f4(I41, I42, I43, I43, I45, I46, I47) [-1 <= I46 - 1 /\ 0 <= I43 - 1 /\ I46 <= I42 - 1 /\ I46 <= I48 - 1 /\ I46 <= I43 - 1 /\ I47 <= I48 - 1 /\ -1 <= I47 - 1 /\ I47 <= I45 - 1 /\ I47 <= I43 - 1 /\ I41 - 2 * I49 = 0 /\ y3 <= I43 - 1 /\ y4 <= I48 - 1 /\ -1 <= I48 - 1 /\ y5 <= I41 /\ I43 = I44]
  f4(I50, I51, I52, I53, I54, I55, I56) -> f3(I57, I58, I52, I59, I60, I51, I61) [0 <= I62 - 1 /\ 0 <= I53 - 1 /\ 0 <= I54 - 1 /\ -1 <= I55 - 1 /\ I55 <= I51 - 1 /\ I55 <= I63 - 1 /\ I55 <= I52 - 1 /\ I56 <= I62 - 1 /\ -1 <= I56 - 1 /\ I56 <= I54 - 1 /\ I59 <= I53 - 1 /\ I56 <= I53 - 1 /\ I50 - 2 * I64 = 0 /\ I61 <= I62 - 1 /\ 0 <= I63 - 1 /\ 0 <= I51 - 1 /\ I60 <= I54 - 1 /\ I57 <= I50 /\ 0 <= I50 - 2 * I64 /\ I50 - 2 * I64 <= 1 /\ I50 - 2 * I57 <= 1 /\ 0 <= I50 - 2 * I57]
  f3(I65, I66, I67, I68, I69, I70, I71) -> f4(I65, I66, I67, I68, I69, I70, I71) [0 <= I72 - 1 /\ 0 <= I68 - 1 /\ 0 <= I69 - 1 /\ -1 <= I70 - 1 /\ I70 <= I66 - 1 /\ I70 <= I73 - 1 /\ I70 <= I67 - 1 /\ I71 <= I72 - 1 /\ -1 <= I71 - 1 /\ I71 <= I69 - 1 /\ I74 <= I68 - 1 /\ I71 <= I68 - 1 /\ I65 - 2 * I75 = 0 /\ I76 <= I72 - 1 /\ 0 <= I73 - 1 /\ 0 <= I66 - 1 /\ y6 <= I65 /\ y7 <= I69 - 1]
  f2(I77, I78, I79, I80, I81, I82, I83) -> f3(I77, 0, I78, I78, 0, I78, I78) [0 <= I78 - 1]
  f1(I84, I85, I86, I87, I88, I89, I90) -> f2(I91, I92, I93, I94, I95, I96, I97) [-1 <= I98 - 1 /\ 1 <= I85 - 1 /\ I92 <= 0 /\ -1 <= I91 - 1 /\ 0 <= I84 - 1]
  f1(I99, I100, I101, I102, I103, I104, I105) -> f2(I106, I107, I108, I109, I110, I111, I112) [-1 <= I113 - 1 /\ 1 <= I100 - 1 /\ -1 <= I106 - 1 /\ I107 <= I114 - 1 /\ -1 <= I114 - 1 /\ 0 <= I99 - 1]

The dependency graph for this problem is:
  0 -> 2, 8, 9
  1 -> 1
  2 -> 1
  3 -> 
  4 -> 3, 5
  5 -> 4, 6
  6 -> 3, 5
  7 -> 
  8 -> 
  9 -> 7
Where:
  0) init#(x1, x2, x3, x4, x5, x6, x7) -> f1#(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6, rnd7) 
  1) f5#(I0, I1, I2, I3, I4, I5, I6) -> f5#(I0 - 1, I7, I8, I9, I10, I11, I12) [0 <= I0 - 1]
  2) f1#(I13, I14, I15, I16, I17, I18, I19) -> f5#(I20, I21, I22, I23, I24, I25, I26) [-1 <= y2 - 1 /\ 1 <= I14 - 1 /\ -1 <= y1 - 1 /\ 0 <= I13 - 1 /\ y1 - 1 = I20]
  3) f4#(I27, I28, I29, I30, I31, I32, I33) -> f3#(I34, 1, I35, I36, I37, 0, I38) [-1 <= I32 - 1 /\ 0 <= I29 - 1 /\ I32 <= I28 - 1 /\ I32 <= I39 - 1 /\ I32 <= I29 - 1 /\ I33 <= I39 - 1 /\ -1 <= I33 - 1 /\ I33 <= I31 - 1 /\ I33 <= I29 - 1 /\ I27 - 2 * I40 = 0 /\ I36 <= I29 - 1 /\ I37 <= I39 - 1 /\ I34 <= I27 /\ -1 <= I39 - 1 /\ 0 <= I27 - 2 * I40 /\ I27 - 2 * I40 <= 1 /\ I27 - 2 * I34 <= 1 /\ 0 <= I27 - 2 * I34 /\ I29 = I30 /\ I37 = I38]
  4) f3#(I41, I42, I43, I44, I45, I46, I47) -> f4#(I41, I42, I43, I43, I45, I46, I47) [-1 <= I46 - 1 /\ 0 <= I43 - 1 /\ I46 <= I42 - 1 /\ I46 <= I48 - 1 /\ I46 <= I43 - 1 /\ I47 <= I48 - 1 /\ -1 <= I47 - 1 /\ I47 <= I45 - 1 /\ I47 <= I43 - 1 /\ I41 - 2 * I49 = 0 /\ y3 <= I43 - 1 /\ y4 <= I48 - 1 /\ -1 <= I48 - 1 /\ y5 <= I41 /\ I43 = I44]
  5) f4#(I50, I51, I52, I53, I54, I55, I56) -> f3#(I57, I58, I52, I59, I60, I51, I61) [0 <= I62 - 1 /\ 0 <= I53 - 1 /\ 0 <= I54 - 1 /\ -1 <= I55 - 1 /\ I55 <= I51 - 1 /\ I55 <= I63 - 1 /\ I55 <= I52 - 1 /\ I56 <= I62 - 1 /\ -1 <= I56 - 1 /\ I56 <= I54 - 1 /\ I59 <= I53 - 1 /\ I56 <= I53 - 1 /\ I50 - 2 * I64 = 0 /\ I61 <= I62 - 1 /\ 0 <= I63 - 1 /\ 0 <= I51 - 1 /\ I60 <= I54 - 1 /\ I57 <= I50 /\ 0 <= I50 - 2 * I64 /\ I50 - 2 * I64 <= 1 /\ I50 - 2 * I57 <= 1 /\ 0 <= I50 - 2 * I57]
  6) f3#(I65, I66, I67, I68, I69, I70, I71) -> f4#(I65, I66, I67, I68, I69, I70, I71) [0 <= I72 - 1 /\ 0 <= I68 - 1 /\ 0 <= I69 - 1 /\ -1 <= I70 - 1 /\ I70 <= I66 - 1 /\ I70 <= I73 - 1 /\ I70 <= I67 - 1 /\ I71 <= I72 - 1 /\ -1 <= I71 - 1 /\ I71 <= I69 - 1 /\ I74 <= I68 - 1 /\ I71 <= I68 - 1 /\ I65 - 2 * I75 = 0 /\ I76 <= I72 - 1 /\ 0 <= I73 - 1 /\ 0 <= I66 - 1 /\ y6 <= I65 /\ y7 <= I69 - 1]
  7) f2#(I77, I78, I79, I80, I81, I82, I83) -> f3#(I77, 0, I78, I78, 0, I78, I78) [0 <= I78 - 1]
  8) f1#(I84, I85, I86, I87, I88, I89, I90) -> f2#(I91, I92, I93, I94, I95, I96, I97) [-1 <= I98 - 1 /\ 1 <= I85 - 1 /\ I92 <= 0 /\ -1 <= I91 - 1 /\ 0 <= I84 - 1]
  9) f1#(I99, I100, I101, I102, I103, I104, I105) -> f2#(I106, I107, I108, I109, I110, I111, I112) [-1 <= I113 - 1 /\ 1 <= I100 - 1 /\ -1 <= I106 - 1 /\ I107 <= I114 - 1 /\ -1 <= I114 - 1 /\ 0 <= I99 - 1]

We have the following SCCs.
  { 1 }
  { 4, 5, 6 }

DP problem for innermost termination.
P =
  f3#(I41, I42, I43, I44, I45, I46, I47) -> f4#(I41, I42, I43, I43, I45, I46, I47) [-1 <= I46 - 1 /\ 0 <= I43 - 1 /\ I46 <= I42 - 1 /\ I46 <= I48 - 1 /\ I46 <= I43 - 1 /\ I47 <= I48 - 1 /\ -1 <= I47 - 1 /\ I47 <= I45 - 1 /\ I47 <= I43 - 1 /\ I41 - 2 * I49 = 0 /\ y3 <= I43 - 1 /\ y4 <= I48 - 1 /\ -1 <= I48 - 1 /\ y5 <= I41 /\ I43 = I44]
  f4#(I50, I51, I52, I53, I54, I55, I56) -> f3#(I57, I58, I52, I59, I60, I51, I61) [0 <= I62 - 1 /\ 0 <= I53 - 1 /\ 0 <= I54 - 1 /\ -1 <= I55 - 1 /\ I55 <= I51 - 1 /\ I55 <= I63 - 1 /\ I55 <= I52 - 1 /\ I56 <= I62 - 1 /\ -1 <= I56 - 1 /\ I56 <= I54 - 1 /\ I59 <= I53 - 1 /\ I56 <= I53 - 1 /\ I50 - 2 * I64 = 0 /\ I61 <= I62 - 1 /\ 0 <= I63 - 1 /\ 0 <= I51 - 1 /\ I60 <= I54 - 1 /\ I57 <= I50 /\ 0 <= I50 - 2 * I64 /\ I50 - 2 * I64 <= 1 /\ I50 - 2 * I57 <= 1 /\ 0 <= I50 - 2 * I57]
  f3#(I65, I66, I67, I68, I69, I70, I71) -> f4#(I65, I66, I67, I68, I69, I70, I71) [0 <= I72 - 1 /\ 0 <= I68 - 1 /\ 0 <= I69 - 1 /\ -1 <= I70 - 1 /\ I70 <= I66 - 1 /\ I70 <= I73 - 1 /\ I70 <= I67 - 1 /\ I71 <= I72 - 1 /\ -1 <= I71 - 1 /\ I71 <= I69 - 1 /\ I74 <= I68 - 1 /\ I71 <= I68 - 1 /\ I65 - 2 * I75 = 0 /\ I76 <= I72 - 1 /\ 0 <= I73 - 1 /\ 0 <= I66 - 1 /\ y6 <= I65 /\ y7 <= I69 - 1]
R = 
  init(x1, x2, x3, x4, x5, x6, x7) -> f1(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6, rnd7) 
  f5(I0, I1, I2, I3, I4, I5, I6) -> f5(I0 - 1, I7, I8, I9, I10, I11, I12) [0 <= I0 - 1]
  f1(I13, I14, I15, I16, I17, I18, I19) -> f5(I20, I21, I22, I23, I24, I25, I26) [-1 <= y2 - 1 /\ 1 <= I14 - 1 /\ -1 <= y1 - 1 /\ 0 <= I13 - 1 /\ y1 - 1 = I20]
  f4(I27, I28, I29, I30, I31, I32, I33) -> f3(I34, 1, I35, I36, I37, 0, I38) [-1 <= I32 - 1 /\ 0 <= I29 - 1 /\ I32 <= I28 - 1 /\ I32 <= I39 - 1 /\ I32 <= I29 - 1 /\ I33 <= I39 - 1 /\ -1 <= I33 - 1 /\ I33 <= I31 - 1 /\ I33 <= I29 - 1 /\ I27 - 2 * I40 = 0 /\ I36 <= I29 - 1 /\ I37 <= I39 - 1 /\ I34 <= I27 /\ -1 <= I39 - 1 /\ 0 <= I27 - 2 * I40 /\ I27 - 2 * I40 <= 1 /\ I27 - 2 * I34 <= 1 /\ 0 <= I27 - 2 * I34 /\ I29 = I30 /\ I37 = I38]
  f3(I41, I42, I43, I44, I45, I46, I47) -> f4(I41, I42, I43, I43, I45, I46, I47) [-1 <= I46 - 1 /\ 0 <= I43 - 1 /\ I46 <= I42 - 1 /\ I46 <= I48 - 1 /\ I46 <= I43 - 1 /\ I47 <= I48 - 1 /\ -1 <= I47 - 1 /\ I47 <= I45 - 1 /\ I47 <= I43 - 1 /\ I41 - 2 * I49 = 0 /\ y3 <= I43 - 1 /\ y4 <= I48 - 1 /\ -1 <= I48 - 1 /\ y5 <= I41 /\ I43 = I44]
  f4(I50, I51, I52, I53, I54, I55, I56) -> f3(I57, I58, I52, I59, I60, I51, I61) [0 <= I62 - 1 /\ 0 <= I53 - 1 /\ 0 <= I54 - 1 /\ -1 <= I55 - 1 /\ I55 <= I51 - 1 /\ I55 <= I63 - 1 /\ I55 <= I52 - 1 /\ I56 <= I62 - 1 /\ -1 <= I56 - 1 /\ I56 <= I54 - 1 /\ I59 <= I53 - 1 /\ I56 <= I53 - 1 /\ I50 - 2 * I64 = 0 /\ I61 <= I62 - 1 /\ 0 <= I63 - 1 /\ 0 <= I51 - 1 /\ I60 <= I54 - 1 /\ I57 <= I50 /\ 0 <= I50 - 2 * I64 /\ I50 - 2 * I64 <= 1 /\ I50 - 2 * I57 <= 1 /\ 0 <= I50 - 2 * I57]
  f3(I65, I66, I67, I68, I69, I70, I71) -> f4(I65, I66, I67, I68, I69, I70, I71) [0 <= I72 - 1 /\ 0 <= I68 - 1 /\ 0 <= I69 - 1 /\ -1 <= I70 - 1 /\ I70 <= I66 - 1 /\ I70 <= I73 - 1 /\ I70 <= I67 - 1 /\ I71 <= I72 - 1 /\ -1 <= I71 - 1 /\ I71 <= I69 - 1 /\ I74 <= I68 - 1 /\ I71 <= I68 - 1 /\ I65 - 2 * I75 = 0 /\ I76 <= I72 - 1 /\ 0 <= I73 - 1 /\ 0 <= I66 - 1 /\ y6 <= I65 /\ y7 <= I69 - 1]
  f2(I77, I78, I79, I80, I81, I82, I83) -> f3(I77, 0, I78, I78, 0, I78, I78) [0 <= I78 - 1]
  f1(I84, I85, I86, I87, I88, I89, I90) -> f2(I91, I92, I93, I94, I95, I96, I97) [-1 <= I98 - 1 /\ 1 <= I85 - 1 /\ I92 <= 0 /\ -1 <= I91 - 1 /\ 0 <= I84 - 1]
  f1(I99, I100, I101, I102, I103, I104, I105) -> f2(I106, I107, I108, I109, I110, I111, I112) [-1 <= I113 - 1 /\ 1 <= I100 - 1 /\ -1 <= I106 - 1 /\ I107 <= I114 - 1 /\ -1 <= I114 - 1 /\ 0 <= I99 - 1]

We use the basic value criterion with the projection function NU:
  NU[f4#(z1,z2,z3,z4,z5,z6,z7)] = z4
  NU[f3#(z1,z2,z3,z4,z5,z6,z7)] = z4

This gives the following inequalities:
  -1 <= I46 - 1 /\ 0 <= I43 - 1 /\ I46 <= I42 - 1 /\ I46 <= I48 - 1 /\ I46 <= I43 - 1 /\ I47 <= I48 - 1 /\ -1 <= I47 - 1 /\ I47 <= I45 - 1 /\ I47 <= I43 - 1 /\ I41 - 2 * I49 = 0 /\ y3 <= I43 - 1 /\ y4 <= I48 - 1 /\ -1 <= I48 - 1 /\ y5 <= I41 /\ I43 = I44  ==>  I44 (>! \union =) I43
  0 <= I62 - 1 /\ 0 <= I53 - 1 /\ 0 <= I54 - 1 /\ -1 <= I55 - 1 /\ I55 <= I51 - 1 /\ I55 <= I63 - 1 /\ I55 <= I52 - 1 /\ I56 <= I62 - 1 /\ -1 <= I56 - 1 /\ I56 <= I54 - 1 /\ I59 <= I53 - 1 /\ I56 <= I53 - 1 /\ I50 - 2 * I64 = 0 /\ I61 <= I62 - 1 /\ 0 <= I63 - 1 /\ 0 <= I51 - 1 /\ I60 <= I54 - 1 /\ I57 <= I50 /\ 0 <= I50 - 2 * I64 /\ I50 - 2 * I64 <= 1 /\ I50 - 2 * I57 <= 1 /\ 0 <= I50 - 2 * I57  ==>  I53 >! I59
  0 <= I72 - 1 /\ 0 <= I68 - 1 /\ 0 <= I69 - 1 /\ -1 <= I70 - 1 /\ I70 <= I66 - 1 /\ I70 <= I73 - 1 /\ I70 <= I67 - 1 /\ I71 <= I72 - 1 /\ -1 <= I71 - 1 /\ I71 <= I69 - 1 /\ I74 <= I68 - 1 /\ I71 <= I68 - 1 /\ I65 - 2 * I75 = 0 /\ I76 <= I72 - 1 /\ 0 <= I73 - 1 /\ 0 <= I66 - 1 /\ y6 <= I65 /\ y7 <= I69 - 1  ==>  I68 (>! \union =) I68

We remove all the strictly oriented dependency pairs.

DP problem for innermost termination.
P =
  f3#(I41, I42, I43, I44, I45, I46, I47) -> f4#(I41, I42, I43, I43, I45, I46, I47) [-1 <= I46 - 1 /\ 0 <= I43 - 1 /\ I46 <= I42 - 1 /\ I46 <= I48 - 1 /\ I46 <= I43 - 1 /\ I47 <= I48 - 1 /\ -1 <= I47 - 1 /\ I47 <= I45 - 1 /\ I47 <= I43 - 1 /\ I41 - 2 * I49 = 0 /\ y3 <= I43 - 1 /\ y4 <= I48 - 1 /\ -1 <= I48 - 1 /\ y5 <= I41 /\ I43 = I44]
  f3#(I65, I66, I67, I68, I69, I70, I71) -> f4#(I65, I66, I67, I68, I69, I70, I71) [0 <= I72 - 1 /\ 0 <= I68 - 1 /\ 0 <= I69 - 1 /\ -1 <= I70 - 1 /\ I70 <= I66 - 1 /\ I70 <= I73 - 1 /\ I70 <= I67 - 1 /\ I71 <= I72 - 1 /\ -1 <= I71 - 1 /\ I71 <= I69 - 1 /\ I74 <= I68 - 1 /\ I71 <= I68 - 1 /\ I65 - 2 * I75 = 0 /\ I76 <= I72 - 1 /\ 0 <= I73 - 1 /\ 0 <= I66 - 1 /\ y6 <= I65 /\ y7 <= I69 - 1]
R = 
  init(x1, x2, x3, x4, x5, x6, x7) -> f1(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6, rnd7) 
  f5(I0, I1, I2, I3, I4, I5, I6) -> f5(I0 - 1, I7, I8, I9, I10, I11, I12) [0 <= I0 - 1]
  f1(I13, I14, I15, I16, I17, I18, I19) -> f5(I20, I21, I22, I23, I24, I25, I26) [-1 <= y2 - 1 /\ 1 <= I14 - 1 /\ -1 <= y1 - 1 /\ 0 <= I13 - 1 /\ y1 - 1 = I20]
  f4(I27, I28, I29, I30, I31, I32, I33) -> f3(I34, 1, I35, I36, I37, 0, I38) [-1 <= I32 - 1 /\ 0 <= I29 - 1 /\ I32 <= I28 - 1 /\ I32 <= I39 - 1 /\ I32 <= I29 - 1 /\ I33 <= I39 - 1 /\ -1 <= I33 - 1 /\ I33 <= I31 - 1 /\ I33 <= I29 - 1 /\ I27 - 2 * I40 = 0 /\ I36 <= I29 - 1 /\ I37 <= I39 - 1 /\ I34 <= I27 /\ -1 <= I39 - 1 /\ 0 <= I27 - 2 * I40 /\ I27 - 2 * I40 <= 1 /\ I27 - 2 * I34 <= 1 /\ 0 <= I27 - 2 * I34 /\ I29 = I30 /\ I37 = I38]
  f3(I41, I42, I43, I44, I45, I46, I47) -> f4(I41, I42, I43, I43, I45, I46, I47) [-1 <= I46 - 1 /\ 0 <= I43 - 1 /\ I46 <= I42 - 1 /\ I46 <= I48 - 1 /\ I46 <= I43 - 1 /\ I47 <= I48 - 1 /\ -1 <= I47 - 1 /\ I47 <= I45 - 1 /\ I47 <= I43 - 1 /\ I41 - 2 * I49 = 0 /\ y3 <= I43 - 1 /\ y4 <= I48 - 1 /\ -1 <= I48 - 1 /\ y5 <= I41 /\ I43 = I44]
  f4(I50, I51, I52, I53, I54, I55, I56) -> f3(I57, I58, I52, I59, I60, I51, I61) [0 <= I62 - 1 /\ 0 <= I53 - 1 /\ 0 <= I54 - 1 /\ -1 <= I55 - 1 /\ I55 <= I51 - 1 /\ I55 <= I63 - 1 /\ I55 <= I52 - 1 /\ I56 <= I62 - 1 /\ -1 <= I56 - 1 /\ I56 <= I54 - 1 /\ I59 <= I53 - 1 /\ I56 <= I53 - 1 /\ I50 - 2 * I64 = 0 /\ I61 <= I62 - 1 /\ 0 <= I63 - 1 /\ 0 <= I51 - 1 /\ I60 <= I54 - 1 /\ I57 <= I50 /\ 0 <= I50 - 2 * I64 /\ I50 - 2 * I64 <= 1 /\ I50 - 2 * I57 <= 1 /\ 0 <= I50 - 2 * I57]
  f3(I65, I66, I67, I68, I69, I70, I71) -> f4(I65, I66, I67, I68, I69, I70, I71) [0 <= I72 - 1 /\ 0 <= I68 - 1 /\ 0 <= I69 - 1 /\ -1 <= I70 - 1 /\ I70 <= I66 - 1 /\ I70 <= I73 - 1 /\ I70 <= I67 - 1 /\ I71 <= I72 - 1 /\ -1 <= I71 - 1 /\ I71 <= I69 - 1 /\ I74 <= I68 - 1 /\ I71 <= I68 - 1 /\ I65 - 2 * I75 = 0 /\ I76 <= I72 - 1 /\ 0 <= I73 - 1 /\ 0 <= I66 - 1 /\ y6 <= I65 /\ y7 <= I69 - 1]
  f2(I77, I78, I79, I80, I81, I82, I83) -> f3(I77, 0, I78, I78, 0, I78, I78) [0 <= I78 - 1]
  f1(I84, I85, I86, I87, I88, I89, I90) -> f2(I91, I92, I93, I94, I95, I96, I97) [-1 <= I98 - 1 /\ 1 <= I85 - 1 /\ I92 <= 0 /\ -1 <= I91 - 1 /\ 0 <= I84 - 1]
  f1(I99, I100, I101, I102, I103, I104, I105) -> f2(I106, I107, I108, I109, I110, I111, I112) [-1 <= I113 - 1 /\ 1 <= I100 - 1 /\ -1 <= I106 - 1 /\ I107 <= I114 - 1 /\ -1 <= I114 - 1 /\ 0 <= I99 - 1]

The dependency graph for this problem is:
  4 -> 
  6 ->
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