/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) -> f1#(rnd1, rnd2) 
  f2#(I0, I1) -> f2#(0, 9) [10 = I1]
  f2#(I2, I3) -> f2#(0, I3 - 1) [0 = I2 /\ 10 <= I3 - 1]
  f2#(I4, I5) -> f2#(1, I5 + 1) [1 = I4 /\ 10 <= I5 - 1]
  f2#(I6, I7) -> f2#(0, I7 - 1) [0 = I6 /\ 1 <= I7 - 1 /\ I7 <= 9]
  f2#(I8, I9) -> f2#(1, I9 + 1) [1 = I8 /\ 1 <= I9 - 1 /\ I9 <= 9]
  f2#(I10, I11) -> f2#(1, 2) [1 = I11]
  f1#(I12, I13) -> f2#(0, I13) [-1 <= I13 - 1 /\ 0 <= I12 - 1]
R = 
  init(x1, x2) -> f1(rnd1, rnd2) 
  f2(I0, I1) -> f2(0, 9) [10 = I1]
  f2(I2, I3) -> f2(0, I3 - 1) [0 = I2 /\ 10 <= I3 - 1]
  f2(I4, I5) -> f2(1, I5 + 1) [1 = I4 /\ 10 <= I5 - 1]
  f2(I6, I7) -> f2(0, I7 - 1) [0 = I6 /\ 1 <= I7 - 1 /\ I7 <= 9]
  f2(I8, I9) -> f2(1, I9 + 1) [1 = I8 /\ 1 <= I9 - 1 /\ I9 <= 9]
  f2(I10, I11) -> f2(1, 2) [1 = I11]
  f1(I12, I13) -> f2(0, I13) [-1 <= I13 - 1 /\ 0 <= I12 - 1]

The dependency graph for this problem is:
  0 -> 7
  1 -> 4
  2 -> 1, 2
  3 -> 3
  4 -> 4, 6
  5 -> 1, 5
  6 -> 5
  7 -> 1, 2, 4, 6
Where:
  0) init#(x1, x2) -> f1#(rnd1, rnd2) 
  1) f2#(I0, I1) -> f2#(0, 9) [10 = I1]
  2) f2#(I2, I3) -> f2#(0, I3 - 1) [0 = I2 /\ 10 <= I3 - 1]
  3) f2#(I4, I5) -> f2#(1, I5 + 1) [1 = I4 /\ 10 <= I5 - 1]
  4) f2#(I6, I7) -> f2#(0, I7 - 1) [0 = I6 /\ 1 <= I7 - 1 /\ I7 <= 9]
  5) f2#(I8, I9) -> f2#(1, I9 + 1) [1 = I8 /\ 1 <= I9 - 1 /\ I9 <= 9]
  6) f2#(I10, I11) -> f2#(1, 2) [1 = I11]
  7) f1#(I12, I13) -> f2#(0, I13) [-1 <= I13 - 1 /\ 0 <= I12 - 1]

We have the following SCCs.
  { 3 }
  { 2 }
  { 1, 4, 5, 6 }

DP problem for innermost termination.
P =
  f2#(I0, I1) -> f2#(0, 9) [10 = I1]
  f2#(I6, I7) -> f2#(0, I7 - 1) [0 = I6 /\ 1 <= I7 - 1 /\ I7 <= 9]
  f2#(I8, I9) -> f2#(1, I9 + 1) [1 = I8 /\ 1 <= I9 - 1 /\ I9 <= 9]
  f2#(I10, I11) -> f2#(1, 2) [1 = I11]
R = 
  init(x1, x2) -> f1(rnd1, rnd2) 
  f2(I0, I1) -> f2(0, 9) [10 = I1]
  f2(I2, I3) -> f2(0, I3 - 1) [0 = I2 /\ 10 <= I3 - 1]
  f2(I4, I5) -> f2(1, I5 + 1) [1 = I4 /\ 10 <= I5 - 1]
  f2(I6, I7) -> f2(0, I7 - 1) [0 = I6 /\ 1 <= I7 - 1 /\ I7 <= 9]
  f2(I8, I9) -> f2(1, I9 + 1) [1 = I8 /\ 1 <= I9 - 1 /\ I9 <= 9]
  f2(I10, I11) -> f2(1, 2) [1 = I11]
  f1(I12, I13) -> f2(0, I13) [-1 <= I13 - 1 /\ 0 <= I12 - 1]