/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 = f8#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10) -> f1#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10) f7#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9) -> f2#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9) f6#(I10, I11, I12, I13, I14, I15, I16, I17, I18, I19) -> f7#(I10, I11, I12, I13, I14, rnd6, I16, I17, I18, I19) [y1 = I12 /\ rnd6 = rnd6] f5#(I20, I21, I22, I23, I24, I25, I26, I27, I28, I29) -> f6#(I20, I21, I22, I23, I24, I25, I26, I27, I28, I29) [I21 = I21] f2#(I30, I31, I32, I33, I34, I35, I36, I37, I38, I39) -> f5#(I30, I31, I32, I33, rnd5, I35, rnd7, rnd8, I38, I39) [y2 = I32 /\ I40 = I33 /\ 0 <= -1 + I40 - y2 /\ rnd7 = rnd7 /\ rnd5 = rnd5 /\ rnd8 = rnd8] f4#(I41, I42, I43, I44, I45, I46, I47, I48, I49, I50) -> f2#(I41, I42, I43, I44, I45, I46, I47, I48, I49, I50) f2#(I51, I52, I53, I54, I55, I56, I57, I58, I59, I60) -> f4#(I51, I52, I53, I54, I61, I56, I62, I63, I59, I60) [I64 = I53 /\ I65 = I54 /\ 0 <= -1 + I65 - I64 /\ I62 = I62 /\ I61 = I61 /\ I63 = I63 /\ I63 <= 0 /\ 0 <= I63] f1#(I80, I81, I82, I83, I84, I85, I86, I87, I88, I89) -> f2#(I80, I81, I82, I83, I84, I85, I86, I87, rnd9, rnd10) [rnd9 = rnd9 /\ rnd10 = rnd10] R = f8(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10) -> f1(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10) f7(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9) -> f2(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9) f6(I10, I11, I12, I13, I14, I15, I16, I17, I18, I19) -> f7(I10, I11, I12, I13, I14, rnd6, I16, I17, I18, I19) [y1 = I12 /\ rnd6 = rnd6] f5(I20, I21, I22, I23, I24, I25, I26, I27, I28, I29) -> f6(I20, I21, I22, I23, I24, I25, I26, I27, I28, I29) [I21 = I21] f2(I30, I31, I32, I33, I34, I35, I36, I37, I38, I39) -> f5(I30, I31, I32, I33, rnd5, I35, rnd7, rnd8, I38, I39) [y2 = I32 /\ I40 = I33 /\ 0 <= -1 + I40 - y2 /\ rnd7 = rnd7 /\ rnd5 = rnd5 /\ rnd8 = rnd8] f4(I41, I42, I43, I44, I45, I46, I47, I48, I49, I50) -> f2(I41, I42, I43, I44, I45, I46, I47, I48, I49, I50) f2(I51, I52, I53, I54, I55, I56, I57, I58, I59, I60) -> f4(I51, I52, I53, I54, I61, I56, I62, I63, I59, I60) [I64 = I53 /\ I65 = I54 /\ 0 <= -1 + I65 - I64 /\ I62 = I62 /\ I61 = I61 /\ I63 = I63 /\ I63 <= 0 /\ 0 <= I63] f2(I66, I67, I68, I69, I70, I71, I72, I73, I74, I75) -> f3(rnd1, I67, I68, I69, I76, I71, I77, I73, I74, I75) [I78 = I68 /\ I79 = I69 /\ I79 - I78 <= 0 /\ I77 = I77 /\ I76 = I76 /\ rnd1 = rnd1] f1(I80, I81, I82, I83, I84, I85, I86, I87, I88, I89) -> f2(I80, I81, I82, I83, I84, I85, I86, I87, rnd9, rnd10) [rnd9 = rnd9 /\ rnd10 = rnd10] The dependency graph for this problem is: 0 -> 7 1 -> 4, 6 2 -> 1 3 -> 2 4 -> 3 5 -> 4, 6 6 -> 5 7 -> 4, 6 Where: 0) f8#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10) -> f1#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10) 1) f7#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9) -> f2#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9) 2) f6#(I10, I11, I12, I13, I14, I15, I16, I17, I18, I19) -> f7#(I10, I11, I12, I13, I14, rnd6, I16, I17, I18, I19) [y1 = I12 /\ rnd6 = rnd6] 3) f5#(I20, I21, I22, I23, I24, I25, I26, I27, I28, I29) -> f6#(I20, I21, I22, I23, I24, I25, I26, I27, I28, I29) [I21 = I21] 4) f2#(I30, I31, I32, I33, I34, I35, I36, I37, I38, I39) -> f5#(I30, I31, I32, I33, rnd5, I35, rnd7, rnd8, I38, I39) [y2 = I32 /\ I40 = I33 /\ 0 <= -1 + I40 - y2 /\ rnd7 = rnd7 /\ rnd5 = rnd5 /\ rnd8 = rnd8] 5) f4#(I41, I42, I43, I44, I45, I46, I47, I48, I49, I50) -> f2#(I41, I42, I43, I44, I45, I46, I47, I48, I49, I50) 6) f2#(I51, I52, I53, I54, I55, I56, I57, I58, I59, I60) -> f4#(I51, I52, I53, I54, I61, I56, I62, I63, I59, I60) [I64 = I53 /\ I65 = I54 /\ 0 <= -1 + I65 - I64 /\ I62 = I62 /\ I61 = I61 /\ I63 = I63 /\ I63 <= 0 /\ 0 <= I63] 7) f1#(I80, I81, I82, I83, I84, I85, I86, I87, I88, I89) -> f2#(I80, I81, I82, I83, I84, I85, I86, I87, rnd9, rnd10) [rnd9 = rnd9 /\ rnd10 = rnd10] We have the following SCCs. { 1, 2, 3, 4, 5, 6 } DP problem for innermost termination. P = f7#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9) -> f2#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9) f6#(I10, I11, I12, I13, I14, I15, I16, I17, I18, I19) -> f7#(I10, I11, I12, I13, I14, rnd6, I16, I17, I18, I19) [y1 = I12 /\ rnd6 = rnd6] f5#(I20, I21, I22, I23, I24, I25, I26, I27, I28, I29) -> f6#(I20, I21, I22, I23, I24, I25, I26, I27, I28, I29) [I21 = I21] f2#(I30, I31, I32, I33, I34, I35, I36, I37, I38, I39) -> f5#(I30, I31, I32, I33, rnd5, I35, rnd7, rnd8, I38, I39) [y2 = I32 /\ I40 = I33 /\ 0 <= -1 + I40 - y2 /\ rnd7 = rnd7 /\ rnd5 = rnd5 /\ rnd8 = rnd8] f4#(I41, I42, I43, I44, I45, I46, I47, I48, I49, I50) -> f2#(I41, I42, I43, I44, I45, I46, I47, I48, I49, I50) f2#(I51, I52, I53, I54, I55, I56, I57, I58, I59, I60) -> f4#(I51, I52, I53, I54, I61, I56, I62, I63, I59, I60) [I64 = I53 /\ I65 = I54 /\ 0 <= -1 + I65 - I64 /\ I62 = I62 /\ I61 = I61 /\ I63 = I63 /\ I63 <= 0 /\ 0 <= I63] R = f8(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10) -> f1(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10) f7(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9) -> f2(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9) f6(I10, I11, I12, I13, I14, I15, I16, I17, I18, I19) -> f7(I10, I11, I12, I13, I14, rnd6, I16, I17, I18, I19) [y1 = I12 /\ rnd6 = rnd6] f5(I20, I21, I22, I23, I24, I25, I26, I27, I28, I29) -> f6(I20, I21, I22, I23, I24, I25, I26, I27, I28, I29) [I21 = I21] f2(I30, I31, I32, I33, I34, I35, I36, I37, I38, I39) -> f5(I30, I31, I32, I33, rnd5, I35, rnd7, rnd8, I38, I39) [y2 = I32 /\ I40 = I33 /\ 0 <= -1 + I40 - y2 /\ rnd7 = rnd7 /\ rnd5 = rnd5 /\ rnd8 = rnd8] f4(I41, I42, I43, I44, I45, I46, I47, I48, I49, I50) -> f2(I41, I42, I43, I44, I45, I46, I47, I48, I49, I50) f2(I51, I52, I53, I54, I55, I56, I57, I58, I59, I60) -> f4(I51, I52, I53, I54, I61, I56, I62, I63, I59, I60) [I64 = I53 /\ I65 = I54 /\ 0 <= -1 + I65 - I64 /\ I62 = I62 /\ I61 = I61 /\ I63 = I63 /\ I63 <= 0 /\ 0 <= I63] f2(I66, I67, I68, I69, I70, I71, I72, I73, I74, I75) -> f3(rnd1, I67, I68, I69, I76, I71, I77, I73, I74, I75) [I78 = I68 /\ I79 = I69 /\ I79 - I78 <= 0 /\ I77 = I77 /\ I76 = I76 /\ rnd1 = rnd1] f1(I80, I81, I82, I83, I84, I85, I86, I87, I88, I89) -> f2(I80, I81, I82, I83, I84, I85, I86, I87, rnd9, rnd10) [rnd9 = rnd9 /\ rnd10 = rnd10]