/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 = f18#(x1, x2, x3, x4) -> f17#(x1, x2, x3, x4) f17#(I0, I1, I2, I3) -> f16#(rnd1, I1, rnd3, I3) [y1 = y1 /\ rnd3 = rnd3 /\ rnd1 = rnd3] f16#(I4, I5, I6, I7) -> f1#(I4, I5, I6, I7) [1 + I4 <= 0] f16#(I8, I9, I10, I11) -> f3#(I8, I9, I10, I11) [0 <= I8] f15#(I12, I13, I14, I15) -> f3#(I12, I13, I14, I15) f5#(I16, I17, I18, I19) -> f14#(I16, I17, I18, I19) [I16 <= I17] f5#(I20, I21, I22, I23) -> f13#(I20, I21, I22, I23) [1 + I21 <= I20] f14#(I24, I25, I26, I27) -> f10#(I24, I25, I26, I27) [1 <= I27] f14#(I28, I29, I30, I31) -> f13#(I28, I29, I30, I31) [I31 <= 0] f13#(I32, I33, I34, I35) -> f4#(1 + I32, I33, I34, I35) [I32 <= I33] f13#(I36, I37, I38, I39) -> f4#(1 + I36, I37, I38, I39) [1 + I37 <= I36] f12#(I40, I41, I42, I43) -> f9#(I40, I41, I42, I43) f9#(I44, I45, I46, I47) -> f12#(I44, I45, I46, I47) f11#(I48, I49, I50, I51) -> f3#(I48, I49, I50, I51) [I48 <= 2] f11#(I52, I53, I54, I55) -> f10#(-1 + I52, I53, I54, I55) [3 <= I52] f10#(I56, I57, I58, I59) -> f11#(I56, I57, I58, I59) f8#(I60, I61, I62, I63) -> f9#(I60, I61, I62, I63) f4#(I68, I69, I70, I71) -> f5#(I68, I69, I70, rnd4) [rnd4 = rnd4] f3#(I72, I73, I74, I75) -> f4#(I72, I73, I74, I75) f2#(I76, I77, I78, I79) -> f1#(I76, I77, I78, I79) f1#(I80, I81, I82, I83) -> f2#(I80, I81, I82, I83) R = f18(x1, x2, x3, x4) -> f17(x1, x2, x3, x4) f17(I0, I1, I2, I3) -> f16(rnd1, I1, rnd3, I3) [y1 = y1 /\ rnd3 = rnd3 /\ rnd1 = rnd3] f16(I4, I5, I6, I7) -> f1(I4, I5, I6, I7) [1 + I4 <= 0] f16(I8, I9, I10, I11) -> f3(I8, I9, I10, I11) [0 <= I8] f15(I12, I13, I14, I15) -> f3(I12, I13, I14, I15) f5(I16, I17, I18, I19) -> f14(I16, I17, I18, I19) [I16 <= I17] f5(I20, I21, I22, I23) -> f13(I20, I21, I22, I23) [1 + I21 <= I20] f14(I24, I25, I26, I27) -> f10(I24, I25, I26, I27) [1 <= I27] f14(I28, I29, I30, I31) -> f13(I28, I29, I30, I31) [I31 <= 0] f13(I32, I33, I34, I35) -> f4(1 + I32, I33, I34, I35) [I32 <= I33] f13(I36, I37, I38, I39) -> f4(1 + I36, I37, I38, I39) [1 + I37 <= I36] f12(I40, I41, I42, I43) -> f9(I40, I41, I42, I43) f9(I44, I45, I46, I47) -> f12(I44, I45, I46, I47) f11(I48, I49, I50, I51) -> f3(I48, I49, I50, I51) [I48 <= 2] f11(I52, I53, I54, I55) -> f10(-1 + I52, I53, I54, I55) [3 <= I52] f10(I56, I57, I58, I59) -> f11(I56, I57, I58, I59) f8(I60, I61, I62, I63) -> f9(I60, I61, I62, I63) f6(I64, I65, I66, I67) -> f7(I64, I65, I66, I67) f4(I68, I69, I70, I71) -> f5(I68, I69, I70, rnd4) [rnd4 = rnd4] f3(I72, I73, I74, I75) -> f4(I72, I73, I74, I75) f2(I76, I77, I78, I79) -> f1(I76, I77, I78, I79) f1(I80, I81, I82, I83) -> f2(I80, I81, I82, I83) The dependency graph for this problem is: 0 -> 1 1 -> 2, 3 2 -> 20 3 -> 18 4 -> 18 5 -> 7, 8 6 -> 10 7 -> 15 8 -> 9, 10 9 -> 17 10 -> 17 11 -> 12 12 -> 11 13 -> 18 14 -> 15 15 -> 13, 14 16 -> 12 17 -> 5, 6 18 -> 17 19 -> 20 20 -> 19 Where: 0) f18#(x1, x2, x3, x4) -> f17#(x1, x2, x3, x4) 1) f17#(I0, I1, I2, I3) -> f16#(rnd1, I1, rnd3, I3) [y1 = y1 /\ rnd3 = rnd3 /\ rnd1 = rnd3] 2) f16#(I4, I5, I6, I7) -> f1#(I4, I5, I6, I7) [1 + I4 <= 0] 3) f16#(I8, I9, I10, I11) -> f3#(I8, I9, I10, I11) [0 <= I8] 4) f15#(I12, I13, I14, I15) -> f3#(I12, I13, I14, I15) 5) f5#(I16, I17, I18, I19) -> f14#(I16, I17, I18, I19) [I16 <= I17] 6) f5#(I20, I21, I22, I23) -> f13#(I20, I21, I22, I23) [1 + I21 <= I20] 7) f14#(I24, I25, I26, I27) -> f10#(I24, I25, I26, I27) [1 <= I27] 8) f14#(I28, I29, I30, I31) -> f13#(I28, I29, I30, I31) [I31 <= 0] 9) f13#(I32, I33, I34, I35) -> f4#(1 + I32, I33, I34, I35) [I32 <= I33] 10) f13#(I36, I37, I38, I39) -> f4#(1 + I36, I37, I38, I39) [1 + I37 <= I36] 11) f12#(I40, I41, I42, I43) -> f9#(I40, I41, I42, I43) 12) f9#(I44, I45, I46, I47) -> f12#(I44, I45, I46, I47) 13) f11#(I48, I49, I50, I51) -> f3#(I48, I49, I50, I51) [I48 <= 2] 14) f11#(I52, I53, I54, I55) -> f10#(-1 + I52, I53, I54, I55) [3 <= I52] 15) f10#(I56, I57, I58, I59) -> f11#(I56, I57, I58, I59) 16) f8#(I60, I61, I62, I63) -> f9#(I60, I61, I62, I63) 17) f4#(I68, I69, I70, I71) -> f5#(I68, I69, I70, rnd4) [rnd4 = rnd4] 18) f3#(I72, I73, I74, I75) -> f4#(I72, I73, I74, I75) 19) f2#(I76, I77, I78, I79) -> f1#(I76, I77, I78, I79) 20) f1#(I80, I81, I82, I83) -> f2#(I80, I81, I82, I83) We have the following SCCs. { 11, 12 } { 5, 6, 7, 8, 9, 10, 13, 14, 15, 17, 18 } { 19, 20 } DP problem for innermost termination. P = f2#(I76, I77, I78, I79) -> f1#(I76, I77, I78, I79) f1#(I80, I81, I82, I83) -> f2#(I80, I81, I82, I83) R = f18(x1, x2, x3, x4) -> f17(x1, x2, x3, x4) f17(I0, I1, I2, I3) -> f16(rnd1, I1, rnd3, I3) [y1 = y1 /\ rnd3 = rnd3 /\ rnd1 = rnd3] f16(I4, I5, I6, I7) -> f1(I4, I5, I6, I7) [1 + I4 <= 0] f16(I8, I9, I10, I11) -> f3(I8, I9, I10, I11) [0 <= I8] f15(I12, I13, I14, I15) -> f3(I12, I13, I14, I15) f5(I16, I17, I18, I19) -> f14(I16, I17, I18, I19) [I16 <= I17] f5(I20, I21, I22, I23) -> f13(I20, I21, I22, I23) [1 + I21 <= I20] f14(I24, I25, I26, I27) -> f10(I24, I25, I26, I27) [1 <= I27] f14(I28, I29, I30, I31) -> f13(I28, I29, I30, I31) [I31 <= 0] f13(I32, I33, I34, I35) -> f4(1 + I32, I33, I34, I35) [I32 <= I33] f13(I36, I37, I38, I39) -> f4(1 + I36, I37, I38, I39) [1 + I37 <= I36] f12(I40, I41, I42, I43) -> f9(I40, I41, I42, I43) f9(I44, I45, I46, I47) -> f12(I44, I45, I46, I47) f11(I48, I49, I50, I51) -> f3(I48, I49, I50, I51) [I48 <= 2] f11(I52, I53, I54, I55) -> f10(-1 + I52, I53, I54, I55) [3 <= I52] f10(I56, I57, I58, I59) -> f11(I56, I57, I58, I59) f8(I60, I61, I62, I63) -> f9(I60, I61, I62, I63) f6(I64, I65, I66, I67) -> f7(I64, I65, I66, I67) f4(I68, I69, I70, I71) -> f5(I68, I69, I70, rnd4) [rnd4 = rnd4] f3(I72, I73, I74, I75) -> f4(I72, I73, I74, I75) f2(I76, I77, I78, I79) -> f1(I76, I77, I78, I79) f1(I80, I81, I82, I83) -> f2(I80, I81, I82, I83)