/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 =
  f4#(x1, x2, x3) -> f3#(x1, x2, x3) 
  f3#(I0, I1, I2) -> f2#(I0, I1, 1 + I0) [0 <= 1 + I0 /\ 1 + I0 <= 1 + I1 /\ 1 <= I1 /\ 1 <= I0 /\ I0 <= I1]
  f2#(I3, I4, I5) -> f1#(I3, I4, I5) [1 + I5 <= I3]
  f2#(I6, I7, I8) -> f1#(I6, I7, I8) [1 + I6 <= I8]
  f1#(I9, I10, I11) -> f2#(I9, I10, 0) [0 <= 0 /\ 0 <= 1 + I10 /\ 1 <= I11 /\ 1 + I10 <= I11]
  f1#(I12, I13, I14) -> f2#(I12, I13, 1 + I14) [0 <= 1 + I14 /\ 1 + I14 <= 1 + I13 /\ I14 <= I13]
R = 
  f4(x1, x2, x3) -> f3(x1, x2, x3) 
  f3(I0, I1, I2) -> f2(I0, I1, 1 + I0) [0 <= 1 + I0 /\ 1 + I0 <= 1 + I1 /\ 1 <= I1 /\ 1 <= I0 /\ I0 <= I1]
  f2(I3, I4, I5) -> f1(I3, I4, I5) [1 + I5 <= I3]
  f2(I6, I7, I8) -> f1(I6, I7, I8) [1 + I6 <= I8]
  f1(I9, I10, I11) -> f2(I9, I10, 0) [0 <= 0 /\ 0 <= 1 + I10 /\ 1 <= I11 /\ 1 + I10 <= I11]
  f1(I12, I13, I14) -> f2(I12, I13, 1 + I14) [0 <= 1 + I14 /\ 1 + I14 <= 1 + I13 /\ I14 <= I13]

The dependency graph for this problem is:
  0 -> 1
  1 -> 3
  2 -> 4, 5
  3 -> 4, 5
  4 -> 2, 3
  5 -> 2, 3
Where:
  0) f4#(x1, x2, x3) -> f3#(x1, x2, x3) 
  1) f3#(I0, I1, I2) -> f2#(I0, I1, 1 + I0) [0 <= 1 + I0 /\ 1 + I0 <= 1 + I1 /\ 1 <= I1 /\ 1 <= I0 /\ I0 <= I1]
  2) f2#(I3, I4, I5) -> f1#(I3, I4, I5) [1 + I5 <= I3]
  3) f2#(I6, I7, I8) -> f1#(I6, I7, I8) [1 + I6 <= I8]
  4) f1#(I9, I10, I11) -> f2#(I9, I10, 0) [0 <= 0 /\ 0 <= 1 + I10 /\ 1 <= I11 /\ 1 + I10 <= I11]
  5) f1#(I12, I13, I14) -> f2#(I12, I13, 1 + I14) [0 <= 1 + I14 /\ 1 + I14 <= 1 + I13 /\ I14 <= I13]

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

DP problem for innermost termination.
P =
  f2#(I3, I4, I5) -> f1#(I3, I4, I5) [1 + I5 <= I3]
  f2#(I6, I7, I8) -> f1#(I6, I7, I8) [1 + I6 <= I8]
  f1#(I9, I10, I11) -> f2#(I9, I10, 0) [0 <= 0 /\ 0 <= 1 + I10 /\ 1 <= I11 /\ 1 + I10 <= I11]
  f1#(I12, I13, I14) -> f2#(I12, I13, 1 + I14) [0 <= 1 + I14 /\ 1 + I14 <= 1 + I13 /\ I14 <= I13]
R = 
  f4(x1, x2, x3) -> f3(x1, x2, x3) 
  f3(I0, I1, I2) -> f2(I0, I1, 1 + I0) [0 <= 1 + I0 /\ 1 + I0 <= 1 + I1 /\ 1 <= I1 /\ 1 <= I0 /\ I0 <= I1]
  f2(I3, I4, I5) -> f1(I3, I4, I5) [1 + I5 <= I3]
  f2(I6, I7, I8) -> f1(I6, I7, I8) [1 + I6 <= I8]
  f1(I9, I10, I11) -> f2(I9, I10, 0) [0 <= 0 /\ 0 <= 1 + I10 /\ 1 <= I11 /\ 1 + I10 <= I11]
  f1(I12, I13, I14) -> f2(I12, I13, 1 + I14) [0 <= 1 + I14 /\ 1 + I14 <= 1 + I13 /\ I14 <= I13]