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


--------------------------------------------------------------------------------


MAYBE

DP problem for innermost termination.
P =
  f11#(x1, x2, x3, x4) -> f10#(x1, x2, x3, x4) 
  f10#(I0, I1, I2, I3) -> f7#(0, I1, I2, I3) 
  f3#(I4, I5, I6, I7) -> f9#(I4, I5, I6, I7) [1 + I7 <= 0]
  f3#(I8, I9, I10, I11) -> f9#(I8, I9, I10, I11) [1 <= I11]
  f3#(I12, I13, I14, I15) -> f2#(I12, I13, I14, I15) [0 <= I15 /\ I15 <= 0]
  f9#(I16, I17, I18, I19) -> f6#(1 + I16, 1 + I17, I18, I19) 
  f8#(I20, I21, I22, I23) -> f7#(-1 + I20, I21, I22, I23) [1 <= I21]
  f8#(I24, I25, I26, I27) -> f7#(I24, I25, I26, I27) [I25 <= 0]
  f2#(I28, I29, I30, I31) -> f8#(I28, I29, I30, I31) 
  f6#(I32, I33, I34, I35) -> f1#(I32, I33, I34, I35) 
  f7#(I36, I37, I38, I39) -> f4#(I36, I37, I38, I39) 
  f4#(I40, I41, I42, I43) -> f6#(1 + I40, 0, I42, I43) [1 + I40 <= I42]
  f1#(I48, I49, I50, I51) -> f3#(I48, I49, I50, rnd4) [rnd4 = rnd4 /\ 1 + I48 <= I50]
  f1#(I52, I53, I54, I55) -> f2#(I52, I53, I54, I55) [I54 <= I52]
R = 
  f11(x1, x2, x3, x4) -> f10(x1, x2, x3, x4) 
  f10(I0, I1, I2, I3) -> f7(0, I1, I2, I3) 
  f3(I4, I5, I6, I7) -> f9(I4, I5, I6, I7) [1 + I7 <= 0]
  f3(I8, I9, I10, I11) -> f9(I8, I9, I10, I11) [1 <= I11]
  f3(I12, I13, I14, I15) -> f2(I12, I13, I14, I15) [0 <= I15 /\ I15 <= 0]
  f9(I16, I17, I18, I19) -> f6(1 + I16, 1 + I17, I18, I19) 
  f8(I20, I21, I22, I23) -> f7(-1 + I20, I21, I22, I23) [1 <= I21]
  f8(I24, I25, I26, I27) -> f7(I24, I25, I26, I27) [I25 <= 0]
  f2(I28, I29, I30, I31) -> f8(I28, I29, I30, I31) 
  f6(I32, I33, I34, I35) -> f1(I32, I33, I34, I35) 
  f7(I36, I37, I38, I39) -> f4(I36, I37, I38, I39) 
  f4(I40, I41, I42, I43) -> f6(1 + I40, 0, I42, I43) [1 + I40 <= I42]
  f4(I44, I45, I46, I47) -> f5(I44, I45, I46, I47) [I46 <= I44]
  f1(I48, I49, I50, I51) -> f3(I48, I49, I50, rnd4) [rnd4 = rnd4 /\ 1 + I48 <= I50]
  f1(I52, I53, I54, I55) -> f2(I52, I53, I54, I55) [I54 <= I52]

The dependency graph for this problem is:
  0 -> 1
  1 -> 10
  2 -> 5
  3 -> 5
  4 -> 8
  5 -> 9
  6 -> 10
  7 -> 10
  8 -> 6, 7
  9 -> 12, 13
  10 -> 11
  11 -> 9
  12 -> 2, 3, 4
  13 -> 8
Where:
  0) f11#(x1, x2, x3, x4) -> f10#(x1, x2, x3, x4) 
  1) f10#(I0, I1, I2, I3) -> f7#(0, I1, I2, I3) 
  2) f3#(I4, I5, I6, I7) -> f9#(I4, I5, I6, I7) [1 + I7 <= 0]
  3) f3#(I8, I9, I10, I11) -> f9#(I8, I9, I10, I11) [1 <= I11]
  4) f3#(I12, I13, I14, I15) -> f2#(I12, I13, I14, I15) [0 <= I15 /\ I15 <= 0]
  5) f9#(I16, I17, I18, I19) -> f6#(1 + I16, 1 + I17, I18, I19) 
  6) f8#(I20, I21, I22, I23) -> f7#(-1 + I20, I21, I22, I23) [1 <= I21]
  7) f8#(I24, I25, I26, I27) -> f7#(I24, I25, I26, I27) [I25 <= 0]
  8) f2#(I28, I29, I30, I31) -> f8#(I28, I29, I30, I31) 
  9) f6#(I32, I33, I34, I35) -> f1#(I32, I33, I34, I35) 
  10) f7#(I36, I37, I38, I39) -> f4#(I36, I37, I38, I39) 
  11) f4#(I40, I41, I42, I43) -> f6#(1 + I40, 0, I42, I43) [1 + I40 <= I42]
  12) f1#(I48, I49, I50, I51) -> f3#(I48, I49, I50, rnd4) [rnd4 = rnd4 /\ 1 + I48 <= I50]
  13) f1#(I52, I53, I54, I55) -> f2#(I52, I53, I54, I55) [I54 <= I52]

We have the following SCCs.
  { 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13 }

DP problem for innermost termination.
P =
  f3#(I4, I5, I6, I7) -> f9#(I4, I5, I6, I7) [1 + I7 <= 0]
  f3#(I8, I9, I10, I11) -> f9#(I8, I9, I10, I11) [1 <= I11]
  f3#(I12, I13, I14, I15) -> f2#(I12, I13, I14, I15) [0 <= I15 /\ I15 <= 0]
  f9#(I16, I17, I18, I19) -> f6#(1 + I16, 1 + I17, I18, I19) 
  f8#(I20, I21, I22, I23) -> f7#(-1 + I20, I21, I22, I23) [1 <= I21]
  f8#(I24, I25, I26, I27) -> f7#(I24, I25, I26, I27) [I25 <= 0]
  f2#(I28, I29, I30, I31) -> f8#(I28, I29, I30, I31) 
  f6#(I32, I33, I34, I35) -> f1#(I32, I33, I34, I35) 
  f7#(I36, I37, I38, I39) -> f4#(I36, I37, I38, I39) 
  f4#(I40, I41, I42, I43) -> f6#(1 + I40, 0, I42, I43) [1 + I40 <= I42]
  f1#(I48, I49, I50, I51) -> f3#(I48, I49, I50, rnd4) [rnd4 = rnd4 /\ 1 + I48 <= I50]
  f1#(I52, I53, I54, I55) -> f2#(I52, I53, I54, I55) [I54 <= I52]
R = 
  f11(x1, x2, x3, x4) -> f10(x1, x2, x3, x4) 
  f10(I0, I1, I2, I3) -> f7(0, I1, I2, I3) 
  f3(I4, I5, I6, I7) -> f9(I4, I5, I6, I7) [1 + I7 <= 0]
  f3(I8, I9, I10, I11) -> f9(I8, I9, I10, I11) [1 <= I11]
  f3(I12, I13, I14, I15) -> f2(I12, I13, I14, I15) [0 <= I15 /\ I15 <= 0]
  f9(I16, I17, I18, I19) -> f6(1 + I16, 1 + I17, I18, I19) 
  f8(I20, I21, I22, I23) -> f7(-1 + I20, I21, I22, I23) [1 <= I21]
  f8(I24, I25, I26, I27) -> f7(I24, I25, I26, I27) [I25 <= 0]
  f2(I28, I29, I30, I31) -> f8(I28, I29, I30, I31) 
  f6(I32, I33, I34, I35) -> f1(I32, I33, I34, I35) 
  f7(I36, I37, I38, I39) -> f4(I36, I37, I38, I39) 
  f4(I40, I41, I42, I43) -> f6(1 + I40, 0, I42, I43) [1 + I40 <= I42]
  f4(I44, I45, I46, I47) -> f5(I44, I45, I46, I47) [I46 <= I44]
  f1(I48, I49, I50, I51) -> f3(I48, I49, I50, rnd4) [rnd4 = rnd4 /\ 1 + I48 <= I50]
  f1(I52, I53, I54, I55) -> f2(I52, I53, I54, I55) [I54 <= I52]