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

The dependency graph for this problem is:
  0 -> 4
  1 -> 2
  2 -> 1, 2
  3 -> 1, 3
  4 -> 1, 2, 3
Where:
  0) init#(x1, x2, x3) -> f1#(rnd1, rnd2, rnd3) 
  1) f2#(I0, I1, I2) -> f2#(I0 - 1, I0, I0 - 1 + I0) [I0 = I1 /\ 0 <= I2 - 1]
  2) f2#(I3, I4, I5) -> f2#(I3, I4 - 1, I3 + I4 - 1) [I3 <= I4 - 1 /\ 0 <= I5 - 1]
  3) f2#(I6, I7, I8) -> f2#(I6 - 1, I7, I6 - 1 + I7) [I7 <= I6 - 1 /\ 0 <= I8 - 1]
  4) f1#(I9, I10, I11) -> f2#(I12, I13, I14) [I12 + I13 = I14 /\ 0 <= I9 - 1 /\ -1 <= I12 - 1 /\ -1 <= I10 - 1 /\ -1 <= I13 - 1]

We have the following SCCs.
  { 3 }
  { 1, 2 }

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