/export/starexec/sandbox/solver/bin/starexec_run_Transition /export/starexec/sandbox/benchmark/theBenchmark.smt2 /export/starexec/sandbox/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#(I0 - 1, I0, I2, I3 + 1) [I3 <= I2 - 1 /\ -1 <= I3 - 1 /\ -1 <= I2 - 1 /\ 0 <= I1 - 1]
  f2#(I4, I5, I6, I7) -> f2#(I4 - 1, I4, I6, I7) [-1 <= I6 - 1 /\ I6 <= I7 /\ 0 <= I5 - 1]
  f1#(I8, I9, I10, I11) -> f2#(I12, I13, I9, 1) [-1 <= y1 - 1 /\ 0 <= I9 - 1 /\ 0 <= I8 - 1 /\ 3 * y1 - 1 = I12 /\ 3 * y1 = I13]
  f1#(I14, I15, I16, I17) -> f2#(-1, 0, 0, 0) [0 = I15 /\ 0 <= I14 - 1]
R = 
  init(x1, x2, x3, x4) -> f1(rnd1, rnd2, rnd3, rnd4) 
  f2(I0, I1, I2, I3) -> f2(I0 - 1, I0, I2, I3 + 1) [I3 <= I2 - 1 /\ -1 <= I3 - 1 /\ -1 <= I2 - 1 /\ 0 <= I1 - 1]
  f2(I4, I5, I6, I7) -> f2(I4 - 1, I4, I6, I7) [-1 <= I6 - 1 /\ I6 <= I7 /\ 0 <= I5 - 1]
  f1(I8, I9, I10, I11) -> f2(I12, I13, I9, 1) [-1 <= y1 - 1 /\ 0 <= I9 - 1 /\ 0 <= I8 - 1 /\ 3 * y1 - 1 = I12 /\ 3 * y1 = I13]
  f1(I14, I15, I16, I17) -> f2(-1, 0, 0, 0) [0 = I15 /\ 0 <= I14 - 1]

The dependency graph for this problem is:
  0 -> 3, 4
  1 -> 1, 2
  2 -> 2
  3 -> 1, 2
  4 -> 
Where:
  0) init#(x1, x2, x3, x4) -> f1#(rnd1, rnd2, rnd3, rnd4) 
  1) f2#(I0, I1, I2, I3) -> f2#(I0 - 1, I0, I2, I3 + 1) [I3 <= I2 - 1 /\ -1 <= I3 - 1 /\ -1 <= I2 - 1 /\ 0 <= I1 - 1]
  2) f2#(I4, I5, I6, I7) -> f2#(I4 - 1, I4, I6, I7) [-1 <= I6 - 1 /\ I6 <= I7 /\ 0 <= I5 - 1]
  3) f1#(I8, I9, I10, I11) -> f2#(I12, I13, I9, 1) [-1 <= y1 - 1 /\ 0 <= I9 - 1 /\ 0 <= I8 - 1 /\ 3 * y1 - 1 = I12 /\ 3 * y1 = I13]
  4) f1#(I14, I15, I16, I17) -> f2#(-1, 0, 0, 0) [0 = I15 /\ 0 <= I14 - 1]

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

DP problem for innermost termination.
P =
  f2#(I4, I5, I6, I7) -> f2#(I4 - 1, I4, I6, I7) [-1 <= I6 - 1 /\ I6 <= I7 /\ 0 <= I5 - 1]
R = 
  init(x1, x2, x3, x4) -> f1(rnd1, rnd2, rnd3, rnd4) 
  f2(I0, I1, I2, I3) -> f2(I0 - 1, I0, I2, I3 + 1) [I3 <= I2 - 1 /\ -1 <= I3 - 1 /\ -1 <= I2 - 1 /\ 0 <= I1 - 1]
  f2(I4, I5, I6, I7) -> f2(I4 - 1, I4, I6, I7) [-1 <= I6 - 1 /\ I6 <= I7 /\ 0 <= I5 - 1]
  f1(I8, I9, I10, I11) -> f2(I12, I13, I9, 1) [-1 <= y1 - 1 /\ 0 <= I9 - 1 /\ 0 <= I8 - 1 /\ 3 * y1 - 1 = I12 /\ 3 * y1 = I13]
  f1(I14, I15, I16, I17) -> f2(-1, 0, 0, 0) [0 = I15 /\ 0 <= I14 - 1]