/export/starexec/sandbox2/solver/bin/starexec_run_Transition /export/starexec/sandbox2/benchmark/theBenchmark.smt2 /export/starexec/sandbox2/output/output_files


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YES

DP problem for innermost termination.
P =
  f6#(x1, x2, x3, x4, x5, x6, x7) -> f1#(x1, x2, x3, x4, x5, x6, x7) 
  f2#(I0, I1, I2, I3, I4, I5, I6) -> f3#(I0, 1 + I1, I2, I3, I4, I5, I6) [1 + I1 <= I0]
  f5#(I14, I15, I16, I17, I18, I19, I20) -> f3#(I14, I15, I16, I17, I18, I19, I20) 
  f3#(I21, I22, I23, I24, I25, I26, I27) -> f5#(I21, 1 + I22, I23, I24, I25, I26, I27) [1 + I22 <= I21]
  f1#(I35, I36, I37, I38, I39, I40, I41) -> f2#(I35, rnd2, I39, I38, I39, I40, I41) [y1 = I40 /\ rnd2 = I39]
R = 
  f6(x1, x2, x3, x4, x5, x6, x7) -> f1(x1, x2, x3, x4, x5, x6, x7) 
  f2(I0, I1, I2, I3, I4, I5, I6) -> f3(I0, 1 + I1, I2, I3, I4, I5, I6) [1 + I1 <= I0]
  f2(I7, I8, I9, I10, I11, I12, I13) -> f4(I7, I8, I9, I13, I11, I12, I13) [I7 <= I8]
  f5(I14, I15, I16, I17, I18, I19, I20) -> f3(I14, I15, I16, I17, I18, I19, I20) 
  f3(I21, I22, I23, I24, I25, I26, I27) -> f5(I21, 1 + I22, I23, I24, I25, I26, I27) [1 + I22 <= I21]
  f3(I28, I29, I30, I31, I32, I33, I34) -> f4(I28, I29, I30, I34, I32, I33, I34) [I28 <= I29]
  f1(I35, I36, I37, I38, I39, I40, I41) -> f2(I35, rnd2, I39, I38, I39, I40, I41) [y1 = I40 /\ rnd2 = I39]

The dependency graph for this problem is:
  0 -> 4
  1 -> 3
  2 -> 3
  3 -> 2
  4 -> 1
Where:
  0) f6#(x1, x2, x3, x4, x5, x6, x7) -> f1#(x1, x2, x3, x4, x5, x6, x7) 
  1) f2#(I0, I1, I2, I3, I4, I5, I6) -> f3#(I0, 1 + I1, I2, I3, I4, I5, I6) [1 + I1 <= I0]
  2) f5#(I14, I15, I16, I17, I18, I19, I20) -> f3#(I14, I15, I16, I17, I18, I19, I20) 
  3) f3#(I21, I22, I23, I24, I25, I26, I27) -> f5#(I21, 1 + I22, I23, I24, I25, I26, I27) [1 + I22 <= I21]
  4) f1#(I35, I36, I37, I38, I39, I40, I41) -> f2#(I35, rnd2, I39, I38, I39, I40, I41) [y1 = I40 /\ rnd2 = I39]

We have the following SCCs.
  { 2, 3 }

DP problem for innermost termination.
P =
  f5#(I14, I15, I16, I17, I18, I19, I20) -> f3#(I14, I15, I16, I17, I18, I19, I20) 
  f3#(I21, I22, I23, I24, I25, I26, I27) -> f5#(I21, 1 + I22, I23, I24, I25, I26, I27) [1 + I22 <= I21]
R = 
  f6(x1, x2, x3, x4, x5, x6, x7) -> f1(x1, x2, x3, x4, x5, x6, x7) 
  f2(I0, I1, I2, I3, I4, I5, I6) -> f3(I0, 1 + I1, I2, I3, I4, I5, I6) [1 + I1 <= I0]
  f2(I7, I8, I9, I10, I11, I12, I13) -> f4(I7, I8, I9, I13, I11, I12, I13) [I7 <= I8]
  f5(I14, I15, I16, I17, I18, I19, I20) -> f3(I14, I15, I16, I17, I18, I19, I20) 
  f3(I21, I22, I23, I24, I25, I26, I27) -> f5(I21, 1 + I22, I23, I24, I25, I26, I27) [1 + I22 <= I21]
  f3(I28, I29, I30, I31, I32, I33, I34) -> f4(I28, I29, I30, I34, I32, I33, I34) [I28 <= I29]
  f1(I35, I36, I37, I38, I39, I40, I41) -> f2(I35, rnd2, I39, I38, I39, I40, I41) [y1 = I40 /\ rnd2 = I39]

We use the reverse value criterion with the projection function NU:
  NU[f3#(z1,z2,z3,z4,z5,z6,z7)] = z1 + -1 * (1 + z2)
  NU[f5#(z1,z2,z3,z4,z5,z6,z7)] = z1 + -1 * (1 + z2)

This gives the following inequalities:
    ==>  I14 + -1 * (1 + I15) >= I14 + -1 * (1 + I15)
  1 + I22 <= I21  ==>  I21 + -1 * (1 + I22) > I21 + -1 * (1 + (1 + I22))  with  I21 + -1 * (1 + I22) >= 0

We remove all the strictly oriented dependency pairs.

DP problem for innermost termination.
P =
  f5#(I14, I15, I16, I17, I18, I19, I20) -> f3#(I14, I15, I16, I17, I18, I19, I20) 
R = 
  f6(x1, x2, x3, x4, x5, x6, x7) -> f1(x1, x2, x3, x4, x5, x6, x7) 
  f2(I0, I1, I2, I3, I4, I5, I6) -> f3(I0, 1 + I1, I2, I3, I4, I5, I6) [1 + I1 <= I0]
  f2(I7, I8, I9, I10, I11, I12, I13) -> f4(I7, I8, I9, I13, I11, I12, I13) [I7 <= I8]
  f5(I14, I15, I16, I17, I18, I19, I20) -> f3(I14, I15, I16, I17, I18, I19, I20) 
  f3(I21, I22, I23, I24, I25, I26, I27) -> f5(I21, 1 + I22, I23, I24, I25, I26, I27) [1 + I22 <= I21]
  f3(I28, I29, I30, I31, I32, I33, I34) -> f4(I28, I29, I30, I34, I32, I33, I34) [I28 <= I29]
  f1(I35, I36, I37, I38, I39, I40, I41) -> f2(I35, rnd2, I39, I38, I39, I40, I41) [y1 = I40 /\ rnd2 = I39]

The dependency graph for this problem is:
  2 -> 
Where:
  2) f5#(I14, I15, I16, I17, I18, I19, I20) -> f3#(I14, I15, I16, I17, I18, I19, I20) 

We have the following SCCs.