/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 =
  f6#(x1, x2) -> f1#(x1, x2) 
  f2#(I0, I1) -> f5#(-1 + I0, 1 + I1) [1 <= I0]
  f5#(I2, I3) -> f2#(I2, I3) 
  f5#(I4, I5) -> f3#(I4, -1 + I5) [1 <= I5]
  f3#(I6, I7) -> f5#(-1 + I6, 1 + I7) [1 <= I6]
  f4#(I8, I9) -> f3#(I8, I9) 
  f3#(I10, I11) -> f4#(1 + I10, -1 + I11) [1 <= I11]
  f1#(I12, I13) -> f2#(I12, I13) [0 <= I12 /\ 0 <= I13 /\ I13 <= 0]
R = 
  f6(x1, x2) -> f1(x1, x2) 
  f2(I0, I1) -> f5(-1 + I0, 1 + I1) [1 <= I0]
  f5(I2, I3) -> f2(I2, I3) 
  f5(I4, I5) -> f3(I4, -1 + I5) [1 <= I5]
  f3(I6, I7) -> f5(-1 + I6, 1 + I7) [1 <= I6]
  f4(I8, I9) -> f3(I8, I9) 
  f3(I10, I11) -> f4(1 + I10, -1 + I11) [1 <= I11]
  f1(I12, I13) -> f2(I12, I13) [0 <= I12 /\ 0 <= I13 /\ I13 <= 0]

The dependency graph for this problem is:
  0 -> 7
  1 -> 2, 3
  2 -> 1
  3 -> 4, 6
  4 -> 2, 3
  5 -> 4, 6
  6 -> 5
  7 -> 1
Where:
  0) f6#(x1, x2) -> f1#(x1, x2) 
  1) f2#(I0, I1) -> f5#(-1 + I0, 1 + I1) [1 <= I0]
  2) f5#(I2, I3) -> f2#(I2, I3) 
  3) f5#(I4, I5) -> f3#(I4, -1 + I5) [1 <= I5]
  4) f3#(I6, I7) -> f5#(-1 + I6, 1 + I7) [1 <= I6]
  5) f4#(I8, I9) -> f3#(I8, I9) 
  6) f3#(I10, I11) -> f4#(1 + I10, -1 + I11) [1 <= I11]
  7) f1#(I12, I13) -> f2#(I12, I13) [0 <= I12 /\ 0 <= I13 /\ I13 <= 0]

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

DP problem for innermost termination.
P =
  f2#(I0, I1) -> f5#(-1 + I0, 1 + I1) [1 <= I0]
  f5#(I2, I3) -> f2#(I2, I3) 
  f5#(I4, I5) -> f3#(I4, -1 + I5) [1 <= I5]
  f3#(I6, I7) -> f5#(-1 + I6, 1 + I7) [1 <= I6]
  f4#(I8, I9) -> f3#(I8, I9) 
  f3#(I10, I11) -> f4#(1 + I10, -1 + I11) [1 <= I11]
R = 
  f6(x1, x2) -> f1(x1, x2) 
  f2(I0, I1) -> f5(-1 + I0, 1 + I1) [1 <= I0]
  f5(I2, I3) -> f2(I2, I3) 
  f5(I4, I5) -> f3(I4, -1 + I5) [1 <= I5]
  f3(I6, I7) -> f5(-1 + I6, 1 + I7) [1 <= I6]
  f4(I8, I9) -> f3(I8, I9) 
  f3(I10, I11) -> f4(1 + I10, -1 + I11) [1 <= I11]
  f1(I12, I13) -> f2(I12, I13) [0 <= I12 /\ 0 <= I13 /\ I13 <= 0]