/export/starexec/sandbox2/solver/bin/starexec_run_Transition /export/starexec/sandbox2/benchmark/theBenchmark.smt2 /export/starexec/sandbox2/output/output_files


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MAYBE

DP problem for innermost termination.
P =
  init#(x1, x2, x3, x4) -> f1#(rnd1, rnd2, rnd3, rnd4) 
  f2#(I0, I1, I2, I3) -> f2#(I4, I2, I2 + I1, I3) [0 <= I4 - 1 /\ 0 <= I0 - 1 /\ I4 <= I0 /\ 0 <= I2 - 1 /\ -1 <= I1 - 1 /\ I3 <= I2 - 1]
  f2#(I5, I6, I7, I8) -> f2#(I9, I7, I7 + I6, I8) [0 <= I9 - 1 /\ 0 <= I5 - 1 /\ I9 <= I5 /\ 0 <= I7 - 1 /\ -1 <= I6 - 1 /\ I7 <= I8 - 1]
  f1#(I10, I11, I12, I13) -> f2#(I14, 0, 1, I11) [0 <= I14 - 1 /\ 0 <= I10 - 1 /\ -1 <= I11 - 1 /\ I14 <= I10]
R = 
  init(x1, x2, x3, x4) -> f1(rnd1, rnd2, rnd3, rnd4) 
  f2(I0, I1, I2, I3) -> f2(I4, I2, I2 + I1, I3) [0 <= I4 - 1 /\ 0 <= I0 - 1 /\ I4 <= I0 /\ 0 <= I2 - 1 /\ -1 <= I1 - 1 /\ I3 <= I2 - 1]
  f2(I5, I6, I7, I8) -> f2(I9, I7, I7 + I6, I8) [0 <= I9 - 1 /\ 0 <= I5 - 1 /\ I9 <= I5 /\ 0 <= I7 - 1 /\ -1 <= I6 - 1 /\ I7 <= I8 - 1]
  f1(I10, I11, I12, I13) -> f2(I14, 0, 1, I11) [0 <= I14 - 1 /\ 0 <= I10 - 1 /\ -1 <= I11 - 1 /\ I14 <= I10]

The dependency graph for this problem is:
  0 -> 3
  1 -> 1
  2 -> 1, 2
  3 -> 1, 2
Where:
  0) init#(x1, x2, x3, x4) -> f1#(rnd1, rnd2, rnd3, rnd4) 
  1) f2#(I0, I1, I2, I3) -> f2#(I4, I2, I2 + I1, I3) [0 <= I4 - 1 /\ 0 <= I0 - 1 /\ I4 <= I0 /\ 0 <= I2 - 1 /\ -1 <= I1 - 1 /\ I3 <= I2 - 1]
  2) f2#(I5, I6, I7, I8) -> f2#(I9, I7, I7 + I6, I8) [0 <= I9 - 1 /\ 0 <= I5 - 1 /\ I9 <= I5 /\ 0 <= I7 - 1 /\ -1 <= I6 - 1 /\ I7 <= I8 - 1]
  3) f1#(I10, I11, I12, I13) -> f2#(I14, 0, 1, I11) [0 <= I14 - 1 /\ 0 <= I10 - 1 /\ -1 <= I11 - 1 /\ I14 <= I10]

We have the following SCCs.
  { 2 }
  { 1 }

DP problem for innermost termination.
P =
  f2#(I0, I1, I2, I3) -> f2#(I4, I2, I2 + I1, I3) [0 <= I4 - 1 /\ 0 <= I0 - 1 /\ I4 <= I0 /\ 0 <= I2 - 1 /\ -1 <= I1 - 1 /\ I3 <= I2 - 1]
R = 
  init(x1, x2, x3, x4) -> f1(rnd1, rnd2, rnd3, rnd4) 
  f2(I0, I1, I2, I3) -> f2(I4, I2, I2 + I1, I3) [0 <= I4 - 1 /\ 0 <= I0 - 1 /\ I4 <= I0 /\ 0 <= I2 - 1 /\ -1 <= I1 - 1 /\ I3 <= I2 - 1]
  f2(I5, I6, I7, I8) -> f2(I9, I7, I7 + I6, I8) [0 <= I9 - 1 /\ 0 <= I5 - 1 /\ I9 <= I5 /\ 0 <= I7 - 1 /\ -1 <= I6 - 1 /\ I7 <= I8 - 1]
  f1(I10, I11, I12, I13) -> f2(I14, 0, 1, I11) [0 <= I14 - 1 /\ 0 <= I10 - 1 /\ -1 <= I11 - 1 /\ I14 <= I10]