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


--------------------------------------------------------------------------------


MAYBE

DP problem for innermost termination.
P =
  init#(x1, x2, x3) -> f1#(rnd1, rnd2, rnd3) 
  f3#(I0, I1, I2) -> f3#(I0, I1 - 1, I1 - 1) [I1 = I2 /\ 0 <= I1 - 1]
  f3#(I3, I4, I5) -> f2#(I3, I6, I7) [0 = I5 /\ 0 = I4]
  f2#(I8, I9, I10) -> f3#(I8 + 1, I8 + 1, I8 + 1) [0 <= I8 - 1]
  f1#(I11, I12, I13) -> f2#(I14, I15, I16) [-1 <= y1 - 1 /\ 1 <= I12 - 1 /\ -1 <= y2 - 1 /\ 0 <= I11 - 1 /\ y1 - y2 = I14]
R = 
  init(x1, x2, x3) -> f1(rnd1, rnd2, rnd3) 
  f3(I0, I1, I2) -> f3(I0, I1 - 1, I1 - 1) [I1 = I2 /\ 0 <= I1 - 1]
  f3(I3, I4, I5) -> f2(I3, I6, I7) [0 = I5 /\ 0 = I4]
  f2(I8, I9, I10) -> f3(I8 + 1, I8 + 1, I8 + 1) [0 <= I8 - 1]
  f1(I11, I12, I13) -> f2(I14, I15, I16) [-1 <= y1 - 1 /\ 1 <= I12 - 1 /\ -1 <= y2 - 1 /\ 0 <= I11 - 1 /\ y1 - y2 = I14]

The dependency graph for this problem is:
  0 -> 4
  1 -> 1, 2
  2 -> 3
  3 -> 1
  4 -> 3
Where:
  0) init#(x1, x2, x3) -> f1#(rnd1, rnd2, rnd3) 
  1) f3#(I0, I1, I2) -> f3#(I0, I1 - 1, I1 - 1) [I1 = I2 /\ 0 <= I1 - 1]
  2) f3#(I3, I4, I5) -> f2#(I3, I6, I7) [0 = I5 /\ 0 = I4]
  3) f2#(I8, I9, I10) -> f3#(I8 + 1, I8 + 1, I8 + 1) [0 <= I8 - 1]
  4) f1#(I11, I12, I13) -> f2#(I14, I15, I16) [-1 <= y1 - 1 /\ 1 <= I12 - 1 /\ -1 <= y2 - 1 /\ 0 <= I11 - 1 /\ y1 - y2 = I14]

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

DP problem for innermost termination.
P =
  f3#(I0, I1, I2) -> f3#(I0, I1 - 1, I1 - 1) [I1 = I2 /\ 0 <= I1 - 1]
  f3#(I3, I4, I5) -> f2#(I3, I6, I7) [0 = I5 /\ 0 = I4]
  f2#(I8, I9, I10) -> f3#(I8 + 1, I8 + 1, I8 + 1) [0 <= I8 - 1]
R = 
  init(x1, x2, x3) -> f1(rnd1, rnd2, rnd3) 
  f3(I0, I1, I2) -> f3(I0, I1 - 1, I1 - 1) [I1 = I2 /\ 0 <= I1 - 1]
  f3(I3, I4, I5) -> f2(I3, I6, I7) [0 = I5 /\ 0 = I4]
  f2(I8, I9, I10) -> f3(I8 + 1, I8 + 1, I8 + 1) [0 <= I8 - 1]
  f1(I11, I12, I13) -> f2(I14, I15, I16) [-1 <= y1 - 1 /\ 1 <= I12 - 1 /\ -1 <= y2 - 1 /\ 0 <= I11 - 1 /\ y1 - y2 = I14]