/export/starexec/sandbox2/solver/bin/starexec_run_Transition /export/starexec/sandbox2/benchmark/theBenchmark.smt2 /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- MAYBE DP problem for innermost termination. P = init#(x1, x2, x3) -> f1#(rnd1, rnd2, rnd3) f2#(I0, I1, I2) -> f2#(I0, 1, 1) [0 = I2 /\ I0 <= 1] f2#(I3, I4, I5) -> f2#(I3, 1, I5 + 1) [1 = I4 /\ I3 <= 1 /\ I5 <= 9 /\ 0 <= I5 - 1 /\ I5 <= 10] f2#(I6, I7, I8) -> f2#(I6, 0, 9) [10 = I8 /\ I6 <= 1] f2#(I9, I10, I11) -> f2#(I9, 0, I11 - 1) [0 = I10 /\ 0 <= I11 - 1 /\ I9 <= 1 /\ I11 <= 10 /\ I11 <= 9] f2#(I12, I13, I14) -> f2#(1, 1, 1) [0 = I14 /\ I12 <= 1] f2#(I15, I16, I17) -> f2#(1, 1, I17 + 1) [1 = I16 /\ I15 <= 1 /\ I17 <= 9 /\ 0 <= I17 - 1 /\ I17 <= 10] f2#(I18, I19, I20) -> f2#(0, 0, 9) [10 = I20 /\ I18 <= 1] f2#(I21, I22, I23) -> f2#(0, 0, I23 - 1) [0 = I22 /\ 0 <= I23 - 1 /\ I21 <= 1 /\ I23 <= 10 /\ I23 <= 9] f1#(I24, I25, I26) -> f2#(0, 0, I25) [-1 <= I25 - 1 /\ 0 <= I24 - 1] R = init(x1, x2, x3) -> f1(rnd1, rnd2, rnd3) f2(I0, I1, I2) -> f2(I0, 1, 1) [0 = I2 /\ I0 <= 1] f2(I3, I4, I5) -> f2(I3, 1, I5 + 1) [1 = I4 /\ I3 <= 1 /\ I5 <= 9 /\ 0 <= I5 - 1 /\ I5 <= 10] f2(I6, I7, I8) -> f2(I6, 0, 9) [10 = I8 /\ I6 <= 1] f2(I9, I10, I11) -> f2(I9, 0, I11 - 1) [0 = I10 /\ 0 <= I11 - 1 /\ I9 <= 1 /\ I11 <= 10 /\ I11 <= 9] f2(I12, I13, I14) -> f2(1, 1, 1) [0 = I14 /\ I12 <= 1] f2(I15, I16, I17) -> f2(1, 1, I17 + 1) [1 = I16 /\ I15 <= 1 /\ I17 <= 9 /\ 0 <= I17 - 1 /\ I17 <= 10] f2(I18, I19, I20) -> f2(0, 0, 9) [10 = I20 /\ I18 <= 1] f2(I21, I22, I23) -> f2(0, 0, I23 - 1) [0 = I22 /\ 0 <= I23 - 1 /\ I21 <= 1 /\ I23 <= 10 /\ I23 <= 9] f1(I24, I25, I26) -> f2(0, 0, I25) [-1 <= I25 - 1 /\ 0 <= I24 - 1] The dependency graph for this problem is: 0 -> 9 1 -> 2, 6 2 -> 2, 3, 6, 7 3 -> 4, 8 4 -> 1, 4, 5, 8 5 -> 2, 6 6 -> 2, 3, 6, 7 7 -> 4, 8 8 -> 1, 4, 5, 8 9 -> 1, 3, 4, 5, 7, 8 Where: 0) init#(x1, x2, x3) -> f1#(rnd1, rnd2, rnd3) 1) f2#(I0, I1, I2) -> f2#(I0, 1, 1) [0 = I2 /\ I0 <= 1] 2) f2#(I3, I4, I5) -> f2#(I3, 1, I5 + 1) [1 = I4 /\ I3 <= 1 /\ I5 <= 9 /\ 0 <= I5 - 1 /\ I5 <= 10] 3) f2#(I6, I7, I8) -> f2#(I6, 0, 9) [10 = I8 /\ I6 <= 1] 4) f2#(I9, I10, I11) -> f2#(I9, 0, I11 - 1) [0 = I10 /\ 0 <= I11 - 1 /\ I9 <= 1 /\ I11 <= 10 /\ I11 <= 9] 5) f2#(I12, I13, I14) -> f2#(1, 1, 1) [0 = I14 /\ I12 <= 1] 6) f2#(I15, I16, I17) -> f2#(1, 1, I17 + 1) [1 = I16 /\ I15 <= 1 /\ I17 <= 9 /\ 0 <= I17 - 1 /\ I17 <= 10] 7) f2#(I18, I19, I20) -> f2#(0, 0, 9) [10 = I20 /\ I18 <= 1] 8) f2#(I21, I22, I23) -> f2#(0, 0, I23 - 1) [0 = I22 /\ 0 <= I23 - 1 /\ I21 <= 1 /\ I23 <= 10 /\ I23 <= 9] 9) f1#(I24, I25, I26) -> f2#(0, 0, I25) [-1 <= I25 - 1 /\ 0 <= I24 - 1] We have the following SCCs. { 1, 2, 3, 4, 5, 6, 7, 8 } DP problem for innermost termination. P = f2#(I0, I1, I2) -> f2#(I0, 1, 1) [0 = I2 /\ I0 <= 1] f2#(I3, I4, I5) -> f2#(I3, 1, I5 + 1) [1 = I4 /\ I3 <= 1 /\ I5 <= 9 /\ 0 <= I5 - 1 /\ I5 <= 10] f2#(I6, I7, I8) -> f2#(I6, 0, 9) [10 = I8 /\ I6 <= 1] f2#(I9, I10, I11) -> f2#(I9, 0, I11 - 1) [0 = I10 /\ 0 <= I11 - 1 /\ I9 <= 1 /\ I11 <= 10 /\ I11 <= 9] f2#(I12, I13, I14) -> f2#(1, 1, 1) [0 = I14 /\ I12 <= 1] f2#(I15, I16, I17) -> f2#(1, 1, I17 + 1) [1 = I16 /\ I15 <= 1 /\ I17 <= 9 /\ 0 <= I17 - 1 /\ I17 <= 10] f2#(I18, I19, I20) -> f2#(0, 0, 9) [10 = I20 /\ I18 <= 1] f2#(I21, I22, I23) -> f2#(0, 0, I23 - 1) [0 = I22 /\ 0 <= I23 - 1 /\ I21 <= 1 /\ I23 <= 10 /\ I23 <= 9] R = init(x1, x2, x3) -> f1(rnd1, rnd2, rnd3) f2(I0, I1, I2) -> f2(I0, 1, 1) [0 = I2 /\ I0 <= 1] f2(I3, I4, I5) -> f2(I3, 1, I5 + 1) [1 = I4 /\ I3 <= 1 /\ I5 <= 9 /\ 0 <= I5 - 1 /\ I5 <= 10] f2(I6, I7, I8) -> f2(I6, 0, 9) [10 = I8 /\ I6 <= 1] f2(I9, I10, I11) -> f2(I9, 0, I11 - 1) [0 = I10 /\ 0 <= I11 - 1 /\ I9 <= 1 /\ I11 <= 10 /\ I11 <= 9] f2(I12, I13, I14) -> f2(1, 1, 1) [0 = I14 /\ I12 <= 1] f2(I15, I16, I17) -> f2(1, 1, I17 + 1) [1 = I16 /\ I15 <= 1 /\ I17 <= 9 /\ 0 <= I17 - 1 /\ I17 <= 10] f2(I18, I19, I20) -> f2(0, 0, 9) [10 = I20 /\ I18 <= 1] f2(I21, I22, I23) -> f2(0, 0, I23 - 1) [0 = I22 /\ 0 <= I23 - 1 /\ I21 <= 1 /\ I23 <= 10 /\ I23 <= 9] f1(I24, I25, I26) -> f2(0, 0, I25) [-1 <= I25 - 1 /\ 0 <= I24 - 1]