/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 = f7#(x1, x2) -> f6#(x1, x2) f6#(I0, I1) -> f2#(rnd1, I1) [1 <= rnd1 /\ rnd1 = rnd1] f5#(I2, I3) -> f1#(I2, rnd2) [rnd2 = rnd2] f4#(I4, I5) -> f5#(I4, I5) [5 <= I4] f4#(I6, I7) -> f5#(I6, I7) [1 + I6 <= 4] f3#(I8, I9) -> f4#(I8, I9) [3 <= I8] f3#(I10, I11) -> f4#(I10, I11) [1 + I10 <= 2] f2#(I12, I13) -> f3#(I12, I13) [2 <= I12] f2#(I14, I15) -> f3#(I14, I15) [1 + I14 <= 1] f1#(I16, I17) -> f2#(I17, I17) [I16 <= 2 * I17 /\ 2 * I17 <= I16] f1#(I18, I19) -> f2#(1 + 3 * I18, I19) [I18 <= 1 + 2 * I19 /\ 1 + 2 * I19 <= I18] R = f7(x1, x2) -> f6(x1, x2) f6(I0, I1) -> f2(rnd1, I1) [1 <= rnd1 /\ rnd1 = rnd1] f5(I2, I3) -> f1(I2, rnd2) [rnd2 = rnd2] f4(I4, I5) -> f5(I4, I5) [5 <= I4] f4(I6, I7) -> f5(I6, I7) [1 + I6 <= 4] f3(I8, I9) -> f4(I8, I9) [3 <= I8] f3(I10, I11) -> f4(I10, I11) [1 + I10 <= 2] f2(I12, I13) -> f3(I12, I13) [2 <= I12] f2(I14, I15) -> f3(I14, I15) [1 + I14 <= 1] f1(I16, I17) -> f2(I17, I17) [I16 <= 2 * I17 /\ 2 * I17 <= I16] f1(I18, I19) -> f2(1 + 3 * I18, I19) [I18 <= 1 + 2 * I19 /\ 1 + 2 * I19 <= I18] The dependency graph for this problem is: 0 -> 1 1 -> 7 2 -> 9, 10 3 -> 2 4 -> 2 5 -> 3, 4 6 -> 4 7 -> 5 8 -> 6 9 -> 7, 8 10 -> 7, 8 Where: 0) f7#(x1, x2) -> f6#(x1, x2) 1) f6#(I0, I1) -> f2#(rnd1, I1) [1 <= rnd1 /\ rnd1 = rnd1] 2) f5#(I2, I3) -> f1#(I2, rnd2) [rnd2 = rnd2] 3) f4#(I4, I5) -> f5#(I4, I5) [5 <= I4] 4) f4#(I6, I7) -> f5#(I6, I7) [1 + I6 <= 4] 5) f3#(I8, I9) -> f4#(I8, I9) [3 <= I8] 6) f3#(I10, I11) -> f4#(I10, I11) [1 + I10 <= 2] 7) f2#(I12, I13) -> f3#(I12, I13) [2 <= I12] 8) f2#(I14, I15) -> f3#(I14, I15) [1 + I14 <= 1] 9) f1#(I16, I17) -> f2#(I17, I17) [I16 <= 2 * I17 /\ 2 * I17 <= I16] 10) f1#(I18, I19) -> f2#(1 + 3 * I18, I19) [I18 <= 1 + 2 * I19 /\ 1 + 2 * I19 <= I18] We have the following SCCs. { 2, 3, 4, 5, 6, 7, 8, 9, 10 } DP problem for innermost termination. P = f5#(I2, I3) -> f1#(I2, rnd2) [rnd2 = rnd2] f4#(I4, I5) -> f5#(I4, I5) [5 <= I4] f4#(I6, I7) -> f5#(I6, I7) [1 + I6 <= 4] f3#(I8, I9) -> f4#(I8, I9) [3 <= I8] f3#(I10, I11) -> f4#(I10, I11) [1 + I10 <= 2] f2#(I12, I13) -> f3#(I12, I13) [2 <= I12] f2#(I14, I15) -> f3#(I14, I15) [1 + I14 <= 1] f1#(I16, I17) -> f2#(I17, I17) [I16 <= 2 * I17 /\ 2 * I17 <= I16] f1#(I18, I19) -> f2#(1 + 3 * I18, I19) [I18 <= 1 + 2 * I19 /\ 1 + 2 * I19 <= I18] R = f7(x1, x2) -> f6(x1, x2) f6(I0, I1) -> f2(rnd1, I1) [1 <= rnd1 /\ rnd1 = rnd1] f5(I2, I3) -> f1(I2, rnd2) [rnd2 = rnd2] f4(I4, I5) -> f5(I4, I5) [5 <= I4] f4(I6, I7) -> f5(I6, I7) [1 + I6 <= 4] f3(I8, I9) -> f4(I8, I9) [3 <= I8] f3(I10, I11) -> f4(I10, I11) [1 + I10 <= 2] f2(I12, I13) -> f3(I12, I13) [2 <= I12] f2(I14, I15) -> f3(I14, I15) [1 + I14 <= 1] f1(I16, I17) -> f2(I17, I17) [I16 <= 2 * I17 /\ 2 * I17 <= I16] f1(I18, I19) -> f2(1 + 3 * I18, I19) [I18 <= 1 + 2 * I19 /\ 1 + 2 * I19 <= I18]