/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) 
  f3#(I0, I1, I2) -> f2#(1, 1, I1 + 1) [1 = I2 /\ 1 <= I1 - 1 /\ I0 <= 1]
  f2#(I3, I4, I5) -> f2#(0, 0, 9) [10 = I5 /\ I3 <= 1]
  f2#(I6, I7, I8) -> f2#(1, 1, 2) [1 = I8 /\ I6 <= 1]
  f3#(I9, I10, I11) -> f2#(0, 0, I10 - 1) [0 = I11 /\ 1 <= I10 - 1 /\ I9 <= 1]
  f2#(I12, I13, I14) -> f3#(I12, I14, I13) [10 <= I14 - 1]
  f2#(I15, I16, I17) -> f3#(I15, I17, I16) [1 <= I17 - 1 /\ I17 <= 9]
  f1#(I18, I19, I20) -> f2#(0, 0, 10 * I19) [-1 <= I19 - 1 /\ 0 <= I18 - 1]
R = 
  init(x1, x2, x3) -> f1(rnd1, rnd2, rnd3) 
  f3(I0, I1, I2) -> f2(1, 1, I1 + 1) [1 = I2 /\ 1 <= I1 - 1 /\ I0 <= 1]
  f2(I3, I4, I5) -> f2(0, 0, 9) [10 = I5 /\ I3 <= 1]
  f2(I6, I7, I8) -> f2(1, 1, 2) [1 = I8 /\ I6 <= 1]
  f3(I9, I10, I11) -> f2(0, 0, I10 - 1) [0 = I11 /\ 1 <= I10 - 1 /\ I9 <= 1]
  f2(I12, I13, I14) -> f3(I12, I14, I13) [10 <= I14 - 1]
  f2(I15, I16, I17) -> f3(I15, I17, I16) [1 <= I17 - 1 /\ I17 <= 9]
  f1(I18, I19, I20) -> f2(0, 0, 10 * I19) [-1 <= I19 - 1 /\ 0 <= I18 - 1]

The dependency graph for this problem is:
  0 -> 7
  1 -> 2, 5, 6
  2 -> 6
  3 -> 6
  4 -> 2, 3, 5, 6
  5 -> 1, 4
  6 -> 1, 4
  7 -> 2, 5
Where:
  0) init#(x1, x2, x3) -> f1#(rnd1, rnd2, rnd3) 
  1) f3#(I0, I1, I2) -> f2#(1, 1, I1 + 1) [1 = I2 /\ 1 <= I1 - 1 /\ I0 <= 1]
  2) f2#(I3, I4, I5) -> f2#(0, 0, 9) [10 = I5 /\ I3 <= 1]
  3) f2#(I6, I7, I8) -> f2#(1, 1, 2) [1 = I8 /\ I6 <= 1]
  4) f3#(I9, I10, I11) -> f2#(0, 0, I10 - 1) [0 = I11 /\ 1 <= I10 - 1 /\ I9 <= 1]
  5) f2#(I12, I13, I14) -> f3#(I12, I14, I13) [10 <= I14 - 1]
  6) f2#(I15, I16, I17) -> f3#(I15, I17, I16) [1 <= I17 - 1 /\ I17 <= 9]
  7) f1#(I18, I19, I20) -> f2#(0, 0, 10 * I19) [-1 <= I19 - 1 /\ 0 <= I18 - 1]

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

DP problem for innermost termination.
P =
  f3#(I0, I1, I2) -> f2#(1, 1, I1 + 1) [1 = I2 /\ 1 <= I1 - 1 /\ I0 <= 1]
  f2#(I3, I4, I5) -> f2#(0, 0, 9) [10 = I5 /\ I3 <= 1]
  f2#(I6, I7, I8) -> f2#(1, 1, 2) [1 = I8 /\ I6 <= 1]
  f3#(I9, I10, I11) -> f2#(0, 0, I10 - 1) [0 = I11 /\ 1 <= I10 - 1 /\ I9 <= 1]
  f2#(I12, I13, I14) -> f3#(I12, I14, I13) [10 <= I14 - 1]
  f2#(I15, I16, I17) -> f3#(I15, I17, I16) [1 <= I17 - 1 /\ I17 <= 9]
R = 
  init(x1, x2, x3) -> f1(rnd1, rnd2, rnd3) 
  f3(I0, I1, I2) -> f2(1, 1, I1 + 1) [1 = I2 /\ 1 <= I1 - 1 /\ I0 <= 1]
  f2(I3, I4, I5) -> f2(0, 0, 9) [10 = I5 /\ I3 <= 1]
  f2(I6, I7, I8) -> f2(1, 1, 2) [1 = I8 /\ I6 <= 1]
  f3(I9, I10, I11) -> f2(0, 0, I10 - 1) [0 = I11 /\ 1 <= I10 - 1 /\ I9 <= 1]
  f2(I12, I13, I14) -> f3(I12, I14, I13) [10 <= I14 - 1]
  f2(I15, I16, I17) -> f3(I15, I17, I16) [1 <= I17 - 1 /\ I17 <= 9]
  f1(I18, I19, I20) -> f2(0, 0, 10 * I19) [-1 <= I19 - 1 /\ 0 <= I18 - 1]