/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 = f15#(x1, x2, x3) -> f14#(x1, x2, x3) f14#(I0, I1, I2) -> f4#(rnd1, I1, I2) [y1 = y1 /\ rnd1 = rnd1] f3#(I3, I4, I5) -> f13#(I3, I4, I5) [1 + I5 <= 0] f3#(I6, I7, I8) -> f13#(I6, I7, I8) [1 <= I8] f3#(I9, I10, I11) -> f2#(I9, I10, I11) [0 <= I11 /\ I11 <= 0] f13#(I12, I13, I14) -> f5#(1 + I12, I13, I14) [I12 <= I13] f13#(I15, I16, I17) -> f5#(1 + I15, I16, I17) [1 + I16 <= I15] f2#(I18, I19, I20) -> f6#(I18, I19, I20) f12#(I21, I22, I23) -> f11#(I21, I22, I23) f11#(I24, I25, I26) -> f12#(I24, I25, I26) f7#(I27, I28, I29) -> f6#(-1 + I27, I28, I29) [3 <= I27] f7#(I30, I31, I32) -> f4#(I30, I31, I32) [I30 <= 2] f10#(I33, I34, I35) -> f11#(I33, I34, I35) f6#(I39, I40, I41) -> f7#(I39, I40, I41) f5#(I42, I43, I44) -> f1#(I42, I43, I44) f4#(I45, I46, I47) -> f5#(I45, I46, I47) f1#(I48, I49, I50) -> f3#(I48, I49, rnd3) [rnd3 = rnd3 /\ I48 <= I49] f1#(I51, I52, I53) -> f2#(I51, I52, I53) [1 + I52 <= I51] R = f15(x1, x2, x3) -> f14(x1, x2, x3) f14(I0, I1, I2) -> f4(rnd1, I1, I2) [y1 = y1 /\ rnd1 = rnd1] f3(I3, I4, I5) -> f13(I3, I4, I5) [1 + I5 <= 0] f3(I6, I7, I8) -> f13(I6, I7, I8) [1 <= I8] f3(I9, I10, I11) -> f2(I9, I10, I11) [0 <= I11 /\ I11 <= 0] f13(I12, I13, I14) -> f5(1 + I12, I13, I14) [I12 <= I13] f13(I15, I16, I17) -> f5(1 + I15, I16, I17) [1 + I16 <= I15] f2(I18, I19, I20) -> f6(I18, I19, I20) f12(I21, I22, I23) -> f11(I21, I22, I23) f11(I24, I25, I26) -> f12(I24, I25, I26) f7(I27, I28, I29) -> f6(-1 + I27, I28, I29) [3 <= I27] f7(I30, I31, I32) -> f4(I30, I31, I32) [I30 <= 2] f10(I33, I34, I35) -> f11(I33, I34, I35) f8(I36, I37, I38) -> f9(I36, I37, I38) f6(I39, I40, I41) -> f7(I39, I40, I41) f5(I42, I43, I44) -> f1(I42, I43, I44) f4(I45, I46, I47) -> f5(I45, I46, I47) f1(I48, I49, I50) -> f3(I48, I49, rnd3) [rnd3 = rnd3 /\ I48 <= I49] f1(I51, I52, I53) -> f2(I51, I52, I53) [1 + I52 <= I51] The dependency graph for this problem is: 0 -> 1 1 -> 15 2 -> 5, 6 3 -> 5, 6 4 -> 7 5 -> 14 6 -> 14 7 -> 13 8 -> 9 9 -> 8 10 -> 13 11 -> 15 12 -> 9 13 -> 10, 11 14 -> 16, 17 15 -> 14 16 -> 2, 3, 4 17 -> 7 Where: 0) f15#(x1, x2, x3) -> f14#(x1, x2, x3) 1) f14#(I0, I1, I2) -> f4#(rnd1, I1, I2) [y1 = y1 /\ rnd1 = rnd1] 2) f3#(I3, I4, I5) -> f13#(I3, I4, I5) [1 + I5 <= 0] 3) f3#(I6, I7, I8) -> f13#(I6, I7, I8) [1 <= I8] 4) f3#(I9, I10, I11) -> f2#(I9, I10, I11) [0 <= I11 /\ I11 <= 0] 5) f13#(I12, I13, I14) -> f5#(1 + I12, I13, I14) [I12 <= I13] 6) f13#(I15, I16, I17) -> f5#(1 + I15, I16, I17) [1 + I16 <= I15] 7) f2#(I18, I19, I20) -> f6#(I18, I19, I20) 8) f12#(I21, I22, I23) -> f11#(I21, I22, I23) 9) f11#(I24, I25, I26) -> f12#(I24, I25, I26) 10) f7#(I27, I28, I29) -> f6#(-1 + I27, I28, I29) [3 <= I27] 11) f7#(I30, I31, I32) -> f4#(I30, I31, I32) [I30 <= 2] 12) f10#(I33, I34, I35) -> f11#(I33, I34, I35) 13) f6#(I39, I40, I41) -> f7#(I39, I40, I41) 14) f5#(I42, I43, I44) -> f1#(I42, I43, I44) 15) f4#(I45, I46, I47) -> f5#(I45, I46, I47) 16) f1#(I48, I49, I50) -> f3#(I48, I49, rnd3) [rnd3 = rnd3 /\ I48 <= I49] 17) f1#(I51, I52, I53) -> f2#(I51, I52, I53) [1 + I52 <= I51] We have the following SCCs. { 8, 9 } { 2, 3, 4, 5, 6, 7, 10, 11, 13, 14, 15, 16, 17 } DP problem for innermost termination. P = f3#(I3, I4, I5) -> f13#(I3, I4, I5) [1 + I5 <= 0] f3#(I6, I7, I8) -> f13#(I6, I7, I8) [1 <= I8] f3#(I9, I10, I11) -> f2#(I9, I10, I11) [0 <= I11 /\ I11 <= 0] f13#(I12, I13, I14) -> f5#(1 + I12, I13, I14) [I12 <= I13] f13#(I15, I16, I17) -> f5#(1 + I15, I16, I17) [1 + I16 <= I15] f2#(I18, I19, I20) -> f6#(I18, I19, I20) f7#(I27, I28, I29) -> f6#(-1 + I27, I28, I29) [3 <= I27] f7#(I30, I31, I32) -> f4#(I30, I31, I32) [I30 <= 2] f6#(I39, I40, I41) -> f7#(I39, I40, I41) f5#(I42, I43, I44) -> f1#(I42, I43, I44) f4#(I45, I46, I47) -> f5#(I45, I46, I47) f1#(I48, I49, I50) -> f3#(I48, I49, rnd3) [rnd3 = rnd3 /\ I48 <= I49] f1#(I51, I52, I53) -> f2#(I51, I52, I53) [1 + I52 <= I51] R = f15(x1, x2, x3) -> f14(x1, x2, x3) f14(I0, I1, I2) -> f4(rnd1, I1, I2) [y1 = y1 /\ rnd1 = rnd1] f3(I3, I4, I5) -> f13(I3, I4, I5) [1 + I5 <= 0] f3(I6, I7, I8) -> f13(I6, I7, I8) [1 <= I8] f3(I9, I10, I11) -> f2(I9, I10, I11) [0 <= I11 /\ I11 <= 0] f13(I12, I13, I14) -> f5(1 + I12, I13, I14) [I12 <= I13] f13(I15, I16, I17) -> f5(1 + I15, I16, I17) [1 + I16 <= I15] f2(I18, I19, I20) -> f6(I18, I19, I20) f12(I21, I22, I23) -> f11(I21, I22, I23) f11(I24, I25, I26) -> f12(I24, I25, I26) f7(I27, I28, I29) -> f6(-1 + I27, I28, I29) [3 <= I27] f7(I30, I31, I32) -> f4(I30, I31, I32) [I30 <= 2] f10(I33, I34, I35) -> f11(I33, I34, I35) f8(I36, I37, I38) -> f9(I36, I37, I38) f6(I39, I40, I41) -> f7(I39, I40, I41) f5(I42, I43, I44) -> f1(I42, I43, I44) f4(I45, I46, I47) -> f5(I45, I46, I47) f1(I48, I49, I50) -> f3(I48, I49, rnd3) [rnd3 = rnd3 /\ I48 <= I49] f1(I51, I52, I53) -> f2(I51, I52, I53) [1 + I52 <= I51]