/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, I0 - 1) [I0 = I1]
  f2#(I2, I3) -> f3#(0, 1) [-1 <= y1 - 1 /\ 0 <= I3 - 1 /\ y1 - 2 * y2 = 0 /\ 0 <= I2 - 1 /\ y1 - 2 * y2 <= 1 /\ 0 <= y1 - 2 * y2]
  f1#(I4, I5) -> f2#(I4, I5) [-1 <= I6 - 1 /\ 0 <= I5 - 1 /\ I6 - 2 * I7 = 0 /\ 0 <= I4 - 1]
  f2#(I8, I9) -> f3#(1, 0) [-1 <= I10 - 1 /\ 0 <= I9 - 1 /\ I10 - 2 * I11 = 1 /\ 0 <= I8 - 1 /\ I10 - 2 * I11 <= 1 /\ 0 <= I10 - 2 * I11]
  f1#(I12, I13) -> f2#(I12, I13) [-1 <= I14 - 1 /\ 0 <= I13 - 1 /\ I14 - 2 * I15 = 1 /\ 0 <= I12 - 1]
R = 
  init(x1, x2) -> f1(rnd1, rnd2) 
  f3(I0, I1) -> f3(I0 - 1, I0 - 1) [I0 = I1]
  f2(I2, I3) -> f3(0, 1) [-1 <= y1 - 1 /\ 0 <= I3 - 1 /\ y1 - 2 * y2 = 0 /\ 0 <= I2 - 1 /\ y1 - 2 * y2 <= 1 /\ 0 <= y1 - 2 * y2]
  f1(I4, I5) -> f2(I4, I5) [-1 <= I6 - 1 /\ 0 <= I5 - 1 /\ I6 - 2 * I7 = 0 /\ 0 <= I4 - 1]
  f2(I8, I9) -> f3(1, 0) [-1 <= I10 - 1 /\ 0 <= I9 - 1 /\ I10 - 2 * I11 = 1 /\ 0 <= I8 - 1 /\ I10 - 2 * I11 <= 1 /\ 0 <= I10 - 2 * I11]
  f1(I12, I13) -> f2(I12, I13) [-1 <= I14 - 1 /\ 0 <= I13 - 1 /\ I14 - 2 * I15 = 1 /\ 0 <= I12 - 1]

The dependency graph for this problem is:
  0 -> 3, 5
  1 -> 1
  2 -> 
  3 -> 2, 4
  4 -> 
  5 -> 2, 4
Where:
  0) init#(x1, x2) -> f1#(rnd1, rnd2) 
  1) f3#(I0, I1) -> f3#(I0 - 1, I0 - 1) [I0 = I1]
  2) f2#(I2, I3) -> f3#(0, 1) [-1 <= y1 - 1 /\ 0 <= I3 - 1 /\ y1 - 2 * y2 = 0 /\ 0 <= I2 - 1 /\ y1 - 2 * y2 <= 1 /\ 0 <= y1 - 2 * y2]
  3) f1#(I4, I5) -> f2#(I4, I5) [-1 <= I6 - 1 /\ 0 <= I5 - 1 /\ I6 - 2 * I7 = 0 /\ 0 <= I4 - 1]
  4) f2#(I8, I9) -> f3#(1, 0) [-1 <= I10 - 1 /\ 0 <= I9 - 1 /\ I10 - 2 * I11 = 1 /\ 0 <= I8 - 1 /\ I10 - 2 * I11 <= 1 /\ 0 <= I10 - 2 * I11]
  5) f1#(I12, I13) -> f2#(I12, I13) [-1 <= I14 - 1 /\ 0 <= I13 - 1 /\ I14 - 2 * I15 = 1 /\ 0 <= I12 - 1]

We have the following SCCs.
  { 1 }

DP problem for innermost termination.
P =
  f3#(I0, I1) -> f3#(I0 - 1, I0 - 1) [I0 = I1]
R = 
  init(x1, x2) -> f1(rnd1, rnd2) 
  f3(I0, I1) -> f3(I0 - 1, I0 - 1) [I0 = I1]
  f2(I2, I3) -> f3(0, 1) [-1 <= y1 - 1 /\ 0 <= I3 - 1 /\ y1 - 2 * y2 = 0 /\ 0 <= I2 - 1 /\ y1 - 2 * y2 <= 1 /\ 0 <= y1 - 2 * y2]
  f1(I4, I5) -> f2(I4, I5) [-1 <= I6 - 1 /\ 0 <= I5 - 1 /\ I6 - 2 * I7 = 0 /\ 0 <= I4 - 1]
  f2(I8, I9) -> f3(1, 0) [-1 <= I10 - 1 /\ 0 <= I9 - 1 /\ I10 - 2 * I11 = 1 /\ 0 <= I8 - 1 /\ I10 - 2 * I11 <= 1 /\ 0 <= I10 - 2 * I11]
  f1(I12, I13) -> f2(I12, I13) [-1 <= I14 - 1 /\ 0 <= I13 - 1 /\ I14 - 2 * I15 = 1 /\ 0 <= I12 - 1]