/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) 
  f3#(I0, I1, I2, I3) -> f2#(I4, I5, I6, I3) [-1 <= I3 - 1 /\ 0 <= I2 - 1 /\ I4 <= I0 /\ 0 <= I0 - 1 /\ 0 <= I4 - 1 /\ I3 - I1 - 2 * y1 <= 1 /\ 0 <= I3 - I1 - 2 * y1 /\ I1 + y1 = I5 /\ I3 - (I1 + y1) = I6]
  f2#(I7, I8, I9, I10) -> f3#(I7, I8, I9, I10) [-1 <= I10 - 1 /\ 0 <= I9 - 1 /\ I11 <= I7 /\ 0 <= I7 - 1 /\ 0 <= I11 - 1]
  f1#(I12, I13, I14, I15) -> f2#(I16, 0, I13, I13) [0 <= I16 - 1 /\ 0 <= I12 - 1 /\ -1 <= I13 - 1 /\ I16 <= I12]
R = 
  init(x1, x2, x3, x4) -> f1(rnd1, rnd2, rnd3, rnd4) 
  f3(I0, I1, I2, I3) -> f2(I4, I5, I6, I3) [-1 <= I3 - 1 /\ 0 <= I2 - 1 /\ I4 <= I0 /\ 0 <= I0 - 1 /\ 0 <= I4 - 1 /\ I3 - I1 - 2 * y1 <= 1 /\ 0 <= I3 - I1 - 2 * y1 /\ I1 + y1 = I5 /\ I3 - (I1 + y1) = I6]
  f2(I7, I8, I9, I10) -> f3(I7, I8, I9, I10) [-1 <= I10 - 1 /\ 0 <= I9 - 1 /\ I11 <= I7 /\ 0 <= I7 - 1 /\ 0 <= I11 - 1]
  f1(I12, I13, I14, I15) -> f2(I16, 0, I13, I13) [0 <= I16 - 1 /\ 0 <= I12 - 1 /\ -1 <= I13 - 1 /\ I16 <= I12]

The dependency graph for this problem is:
  0 -> 3
  1 -> 2
  2 -> 1
  3 -> 2
Where:
  0) init#(x1, x2, x3, x4) -> f1#(rnd1, rnd2, rnd3, rnd4) 
  1) f3#(I0, I1, I2, I3) -> f2#(I4, I5, I6, I3) [-1 <= I3 - 1 /\ 0 <= I2 - 1 /\ I4 <= I0 /\ 0 <= I0 - 1 /\ 0 <= I4 - 1 /\ I3 - I1 - 2 * y1 <= 1 /\ 0 <= I3 - I1 - 2 * y1 /\ I1 + y1 = I5 /\ I3 - (I1 + y1) = I6]
  2) f2#(I7, I8, I9, I10) -> f3#(I7, I8, I9, I10) [-1 <= I10 - 1 /\ 0 <= I9 - 1 /\ I11 <= I7 /\ 0 <= I7 - 1 /\ 0 <= I11 - 1]
  3) f1#(I12, I13, I14, I15) -> f2#(I16, 0, I13, I13) [0 <= I16 - 1 /\ 0 <= I12 - 1 /\ -1 <= I13 - 1 /\ I16 <= I12]

We have the following SCCs.
  { 1, 2 }

DP problem for innermost termination.
P =
  f3#(I0, I1, I2, I3) -> f2#(I4, I5, I6, I3) [-1 <= I3 - 1 /\ 0 <= I2 - 1 /\ I4 <= I0 /\ 0 <= I0 - 1 /\ 0 <= I4 - 1 /\ I3 - I1 - 2 * y1 <= 1 /\ 0 <= I3 - I1 - 2 * y1 /\ I1 + y1 = I5 /\ I3 - (I1 + y1) = I6]
  f2#(I7, I8, I9, I10) -> f3#(I7, I8, I9, I10) [-1 <= I10 - 1 /\ 0 <= I9 - 1 /\ I11 <= I7 /\ 0 <= I7 - 1 /\ 0 <= I11 - 1]
R = 
  init(x1, x2, x3, x4) -> f1(rnd1, rnd2, rnd3, rnd4) 
  f3(I0, I1, I2, I3) -> f2(I4, I5, I6, I3) [-1 <= I3 - 1 /\ 0 <= I2 - 1 /\ I4 <= I0 /\ 0 <= I0 - 1 /\ 0 <= I4 - 1 /\ I3 - I1 - 2 * y1 <= 1 /\ 0 <= I3 - I1 - 2 * y1 /\ I1 + y1 = I5 /\ I3 - (I1 + y1) = I6]
  f2(I7, I8, I9, I10) -> f3(I7, I8, I9, I10) [-1 <= I10 - 1 /\ 0 <= I9 - 1 /\ I11 <= I7 /\ 0 <= I7 - 1 /\ 0 <= I11 - 1]
  f1(I12, I13, I14, I15) -> f2(I16, 0, I13, I13) [0 <= I16 - 1 /\ 0 <= I12 - 1 /\ -1 <= I13 - 1 /\ I16 <= I12]