/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 = f5#(x1, x2, x3) -> f4#(x1, x2, x3) f4#(I0, I1, I2) -> f1#(I0, I1, I2) f3#(I3, I4, I5) -> f1#(I3, I4, I5) f1#(I6, I7, I8) -> f3#(I6 + I7, -1 + I7, I8) [1 <= I6] f2#(I9, I10, I11) -> f1#(I9, I10, I11) f1#(I12, I13, I14) -> f2#(I12 + I14, I13, -1 + I14) [1 <= I12] R = f5(x1, x2, x3) -> f4(x1, x2, x3) f4(I0, I1, I2) -> f1(I0, I1, I2) f3(I3, I4, I5) -> f1(I3, I4, I5) f1(I6, I7, I8) -> f3(I6 + I7, -1 + I7, I8) [1 <= I6] f2(I9, I10, I11) -> f1(I9, I10, I11) f1(I12, I13, I14) -> f2(I12 + I14, I13, -1 + I14) [1 <= I12] The dependency graph for this problem is: 0 -> 1 1 -> 3, 5 2 -> 3, 5 3 -> 2 4 -> 3, 5 5 -> 4 Where: 0) f5#(x1, x2, x3) -> f4#(x1, x2, x3) 1) f4#(I0, I1, I2) -> f1#(I0, I1, I2) 2) f3#(I3, I4, I5) -> f1#(I3, I4, I5) 3) f1#(I6, I7, I8) -> f3#(I6 + I7, -1 + I7, I8) [1 <= I6] 4) f2#(I9, I10, I11) -> f1#(I9, I10, I11) 5) f1#(I12, I13, I14) -> f2#(I12 + I14, I13, -1 + I14) [1 <= I12] We have the following SCCs. { 2, 3, 4, 5 } DP problem for innermost termination. P = f3#(I3, I4, I5) -> f1#(I3, I4, I5) f1#(I6, I7, I8) -> f3#(I6 + I7, -1 + I7, I8) [1 <= I6] f2#(I9, I10, I11) -> f1#(I9, I10, I11) f1#(I12, I13, I14) -> f2#(I12 + I14, I13, -1 + I14) [1 <= I12] R = f5(x1, x2, x3) -> f4(x1, x2, x3) f4(I0, I1, I2) -> f1(I0, I1, I2) f3(I3, I4, I5) -> f1(I3, I4, I5) f1(I6, I7, I8) -> f3(I6 + I7, -1 + I7, I8) [1 <= I6] f2(I9, I10, I11) -> f1(I9, I10, I11) f1(I12, I13, I14) -> f2(I12 + I14, I13, -1 + I14) [1 <= I12]