/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) -> f1#(rnd1, rnd2) 
  f3#(I0, I1) -> f3#(I0 - 1, I2) [I0 <= -1]
  f2#(I3, I4) -> f3#(I5, I6) [-1 <= y1 - 1 /\ 1 <= I4 - 1 /\ y2 - 2 * y3 = 0 /\ -1 <= y2 - 1 /\ 0 <= I3 - 1 /\ y2 - 2 * y3 <= 1 /\ 0 <= y2 - 2 * y3 /\ 0 - y1 = I5]
  f1#(I7, I8) -> f2#(I7, I8) [-1 <= I9 - 1 /\ 1 <= I8 - 1 /\ I10 - 2 * I11 = 0 /\ -1 <= I10 - 1 /\ 0 <= I7 - 1]
R = 
  init(x1, x2) -> f1(rnd1, rnd2) 
  f3(I0, I1) -> f3(I0 - 1, I2) [I0 <= -1]
  f2(I3, I4) -> f3(I5, I6) [-1 <= y1 - 1 /\ 1 <= I4 - 1 /\ y2 - 2 * y3 = 0 /\ -1 <= y2 - 1 /\ 0 <= I3 - 1 /\ y2 - 2 * y3 <= 1 /\ 0 <= y2 - 2 * y3 /\ 0 - y1 = I5]
  f1(I7, I8) -> f2(I7, I8) [-1 <= I9 - 1 /\ 1 <= I8 - 1 /\ I10 - 2 * I11 = 0 /\ -1 <= I10 - 1 /\ 0 <= I7 - 1]

The dependency graph for this problem is:
  0 -> 3
  1 -> 1
  2 -> 1
  3 -> 2
Where:
  0) init#(x1, x2) -> f1#(rnd1, rnd2) 
  1) f3#(I0, I1) -> f3#(I0 - 1, I2) [I0 <= -1]
  2) f2#(I3, I4) -> f3#(I5, I6) [-1 <= y1 - 1 /\ 1 <= I4 - 1 /\ y2 - 2 * y3 = 0 /\ -1 <= y2 - 1 /\ 0 <= I3 - 1 /\ y2 - 2 * y3 <= 1 /\ 0 <= y2 - 2 * y3 /\ 0 - y1 = I5]
  3) f1#(I7, I8) -> f2#(I7, I8) [-1 <= I9 - 1 /\ 1 <= I8 - 1 /\ I10 - 2 * I11 = 0 /\ -1 <= I10 - 1 /\ 0 <= I7 - 1]

We have the following SCCs.
  { 1 }

DP problem for innermost termination.
P =
  f3#(I0, I1) -> f3#(I0 - 1, I2) [I0 <= -1]
R = 
  init(x1, x2) -> f1(rnd1, rnd2) 
  f3(I0, I1) -> f3(I0 - 1, I2) [I0 <= -1]
  f2(I3, I4) -> f3(I5, I6) [-1 <= y1 - 1 /\ 1 <= I4 - 1 /\ y2 - 2 * y3 = 0 /\ -1 <= y2 - 1 /\ 0 <= I3 - 1 /\ y2 - 2 * y3 <= 1 /\ 0 <= y2 - 2 * y3 /\ 0 - y1 = I5]
  f1(I7, I8) -> f2(I7, I8) [-1 <= I9 - 1 /\ 1 <= I8 - 1 /\ I10 - 2 * I11 = 0 /\ -1 <= I10 - 1 /\ 0 <= I7 - 1]