/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, x3, x4, x5, x6, x7, x8, x9) -> f6#(x1, x2, x3, x4, x5, x6, x7, x8, x9) f6#(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f3#(I0, I1, I2, I3, I4, I5, I6, I7, I8) [I2 <= 3 /\ 0 <= I2 /\ I8 <= 3 /\ 0 <= I8 /\ I6 <= 3 /\ 0 <= I4 /\ I7 <= 3 /\ 0 <= I7] f3#(I9, I10, I11, I12, I13, I14, I15, I16, I17) -> f5#(I9, I10, I11, I12, I13, 1 + I13, I15, I16, I17) [1 + 2 * I13 <= 2 + I16] f3#(I18, I19, I20, I21, I22, I23, I24, I25, I26) -> f5#(I18, I19, I20, I21, I22, -1 + I22, I24, I25, I26) [3 + I25 <= -1 + 2 * I22] f3#(I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f5#(I27, I28, I29, I30, I31, I31, I33, I34, I35) [2 * I31 <= 2 + I34 /\ 2 + I34 <= 2 * I31] f3#(I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f5#(I36, I37, I38, I39, I40, I40, I42, I43, I44) [-1 + 2 * I40 <= 2 + I43 /\ 2 + I43 <= -1 + 2 * I40] f5#(I45, I46, I47, I48, I49, I50, I51, I52, I53) -> f1#(I45, I46, I47, 1 + I47, I49, I50, I51, I52, I53) [1 + 2 * I47 <= I49 + I53] f5#(I54, I55, I56, I57, I58, I59, I60, I61, I62) -> f1#(I54, I55, I56, -1 + I56, I58, I59, I60, I61, I62) [1 + I58 + I62 <= -1 + 2 * I56] f5#(I63, I64, I65, I66, I67, I68, I69, I70, I71) -> f1#(I63, I64, I65, I65, I67, I68, I69, I70, I71) [2 * I65 <= I67 + I71 /\ I67 + I71 <= 2 * I65] f5#(I72, I73, I74, I75, I76, I77, I78, I79, I80) -> f1#(I72, I73, I74, I74, I76, I77, I78, I79, I80) [-1 + 2 * I74 <= I76 + I80 /\ I76 + I80 <= -1 + 2 * I74] f4#(I81, I82, I83, I84, I85, I86, I87, I88, I89) -> f3#(I81, I82, I84, I84, I86, I86, I87, I88, I89) f1#(I90, I91, I92, I93, I94, I95, I96, I97, I98) -> f4#(I90, I91, I92, I93, I94, I95, I96, I97, I98) [I91 = I91] f2#(I99, I100, I101, I102, I103, I104, I105, I106, I107) -> f3#(I99, I100, I102, I102, I104, I104, I105, I106, I107) f1#(I108, I109, I110, I111, I112, I113, I114, I115, I116) -> f2#(I108, I109, I110, I111, I112, I113, I114, I115, I116) [I108 = I108] R = f7(x1, x2, x3, x4, x5, x6, x7, x8, x9) -> f6(x1, x2, x3, x4, x5, x6, x7, x8, x9) f6(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f3(I0, I1, I2, I3, I4, I5, I6, I7, I8) [I2 <= 3 /\ 0 <= I2 /\ I8 <= 3 /\ 0 <= I8 /\ I6 <= 3 /\ 0 <= I4 /\ I7 <= 3 /\ 0 <= I7] f3(I9, I10, I11, I12, I13, I14, I15, I16, I17) -> f5(I9, I10, I11, I12, I13, 1 + I13, I15, I16, I17) [1 + 2 * I13 <= 2 + I16] f3(I18, I19, I20, I21, I22, I23, I24, I25, I26) -> f5(I18, I19, I20, I21, I22, -1 + I22, I24, I25, I26) [3 + I25 <= -1 + 2 * I22] f3(I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f5(I27, I28, I29, I30, I31, I31, I33, I34, I35) [2 * I31 <= 2 + I34 /\ 2 + I34 <= 2 * I31] f3(I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f5(I36, I37, I38, I39, I40, I40, I42, I43, I44) [-1 + 2 * I40 <= 2 + I43 /\ 2 + I43 <= -1 + 2 * I40] f5(I45, I46, I47, I48, I49, I50, I51, I52, I53) -> f1(I45, I46, I47, 1 + I47, I49, I50, I51, I52, I53) [1 + 2 * I47 <= I49 + I53] f5(I54, I55, I56, I57, I58, I59, I60, I61, I62) -> f1(I54, I55, I56, -1 + I56, I58, I59, I60, I61, I62) [1 + I58 + I62 <= -1 + 2 * I56] f5(I63, I64, I65, I66, I67, I68, I69, I70, I71) -> f1(I63, I64, I65, I65, I67, I68, I69, I70, I71) [2 * I65 <= I67 + I71 /\ I67 + I71 <= 2 * I65] f5(I72, I73, I74, I75, I76, I77, I78, I79, I80) -> f1(I72, I73, I74, I74, I76, I77, I78, I79, I80) [-1 + 2 * I74 <= I76 + I80 /\ I76 + I80 <= -1 + 2 * I74] f4(I81, I82, I83, I84, I85, I86, I87, I88, I89) -> f3(I81, I82, I84, I84, I86, I86, I87, I88, I89) f1(I90, I91, I92, I93, I94, I95, I96, I97, I98) -> f4(I90, I91, I92, I93, I94, I95, I96, I97, I98) [I91 = I91] f2(I99, I100, I101, I102, I103, I104, I105, I106, I107) -> f3(I99, I100, I102, I102, I104, I104, I105, I106, I107) f1(I108, I109, I110, I111, I112, I113, I114, I115, I116) -> f2(I108, I109, I110, I111, I112, I113, I114, I115, I116) [I108 = I108] The dependency graph for this problem is: 0 -> 1 1 -> 2, 3, 4, 5 2 -> 6, 7, 8, 9 3 -> 6, 7, 8, 9 4 -> 6, 7, 8, 9 5 -> 6, 7, 8, 9 6 -> 11, 13 7 -> 11, 13 8 -> 11, 13 9 -> 11, 13 10 -> 2, 3, 4, 5 11 -> 10 12 -> 2, 3, 4, 5 13 -> 12 Where: 0) f7#(x1, x2, x3, x4, x5, x6, x7, x8, x9) -> f6#(x1, x2, x3, x4, x5, x6, x7, x8, x9) 1) f6#(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f3#(I0, I1, I2, I3, I4, I5, I6, I7, I8) [I2 <= 3 /\ 0 <= I2 /\ I8 <= 3 /\ 0 <= I8 /\ I6 <= 3 /\ 0 <= I4 /\ I7 <= 3 /\ 0 <= I7] 2) f3#(I9, I10, I11, I12, I13, I14, I15, I16, I17) -> f5#(I9, I10, I11, I12, I13, 1 + I13, I15, I16, I17) [1 + 2 * I13 <= 2 + I16] 3) f3#(I18, I19, I20, I21, I22, I23, I24, I25, I26) -> f5#(I18, I19, I20, I21, I22, -1 + I22, I24, I25, I26) [3 + I25 <= -1 + 2 * I22] 4) f3#(I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f5#(I27, I28, I29, I30, I31, I31, I33, I34, I35) [2 * I31 <= 2 + I34 /\ 2 + I34 <= 2 * I31] 5) f3#(I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f5#(I36, I37, I38, I39, I40, I40, I42, I43, I44) [-1 + 2 * I40 <= 2 + I43 /\ 2 + I43 <= -1 + 2 * I40] 6) f5#(I45, I46, I47, I48, I49, I50, I51, I52, I53) -> f1#(I45, I46, I47, 1 + I47, I49, I50, I51, I52, I53) [1 + 2 * I47 <= I49 + I53] 7) f5#(I54, I55, I56, I57, I58, I59, I60, I61, I62) -> f1#(I54, I55, I56, -1 + I56, I58, I59, I60, I61, I62) [1 + I58 + I62 <= -1 + 2 * I56] 8) f5#(I63, I64, I65, I66, I67, I68, I69, I70, I71) -> f1#(I63, I64, I65, I65, I67, I68, I69, I70, I71) [2 * I65 <= I67 + I71 /\ I67 + I71 <= 2 * I65] 9) f5#(I72, I73, I74, I75, I76, I77, I78, I79, I80) -> f1#(I72, I73, I74, I74, I76, I77, I78, I79, I80) [-1 + 2 * I74 <= I76 + I80 /\ I76 + I80 <= -1 + 2 * I74] 10) f4#(I81, I82, I83, I84, I85, I86, I87, I88, I89) -> f3#(I81, I82, I84, I84, I86, I86, I87, I88, I89) 11) f1#(I90, I91, I92, I93, I94, I95, I96, I97, I98) -> f4#(I90, I91, I92, I93, I94, I95, I96, I97, I98) [I91 = I91] 12) f2#(I99, I100, I101, I102, I103, I104, I105, I106, I107) -> f3#(I99, I100, I102, I102, I104, I104, I105, I106, I107) 13) f1#(I108, I109, I110, I111, I112, I113, I114, I115, I116) -> f2#(I108, I109, I110, I111, I112, I113, I114, I115, I116) [I108 = I108] We have the following SCCs. { 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13 } DP problem for innermost termination. P = f3#(I9, I10, I11, I12, I13, I14, I15, I16, I17) -> f5#(I9, I10, I11, I12, I13, 1 + I13, I15, I16, I17) [1 + 2 * I13 <= 2 + I16] f3#(I18, I19, I20, I21, I22, I23, I24, I25, I26) -> f5#(I18, I19, I20, I21, I22, -1 + I22, I24, I25, I26) [3 + I25 <= -1 + 2 * I22] f3#(I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f5#(I27, I28, I29, I30, I31, I31, I33, I34, I35) [2 * I31 <= 2 + I34 /\ 2 + I34 <= 2 * I31] f3#(I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f5#(I36, I37, I38, I39, I40, I40, I42, I43, I44) [-1 + 2 * I40 <= 2 + I43 /\ 2 + I43 <= -1 + 2 * I40] f5#(I45, I46, I47, I48, I49, I50, I51, I52, I53) -> f1#(I45, I46, I47, 1 + I47, I49, I50, I51, I52, I53) [1 + 2 * I47 <= I49 + I53] f5#(I54, I55, I56, I57, I58, I59, I60, I61, I62) -> f1#(I54, I55, I56, -1 + I56, I58, I59, I60, I61, I62) [1 + I58 + I62 <= -1 + 2 * I56] f5#(I63, I64, I65, I66, I67, I68, I69, I70, I71) -> f1#(I63, I64, I65, I65, I67, I68, I69, I70, I71) [2 * I65 <= I67 + I71 /\ I67 + I71 <= 2 * I65] f5#(I72, I73, I74, I75, I76, I77, I78, I79, I80) -> f1#(I72, I73, I74, I74, I76, I77, I78, I79, I80) [-1 + 2 * I74 <= I76 + I80 /\ I76 + I80 <= -1 + 2 * I74] f4#(I81, I82, I83, I84, I85, I86, I87, I88, I89) -> f3#(I81, I82, I84, I84, I86, I86, I87, I88, I89) f1#(I90, I91, I92, I93, I94, I95, I96, I97, I98) -> f4#(I90, I91, I92, I93, I94, I95, I96, I97, I98) [I91 = I91] f2#(I99, I100, I101, I102, I103, I104, I105, I106, I107) -> f3#(I99, I100, I102, I102, I104, I104, I105, I106, I107) f1#(I108, I109, I110, I111, I112, I113, I114, I115, I116) -> f2#(I108, I109, I110, I111, I112, I113, I114, I115, I116) [I108 = I108] R = f7(x1, x2, x3, x4, x5, x6, x7, x8, x9) -> f6(x1, x2, x3, x4, x5, x6, x7, x8, x9) f6(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f3(I0, I1, I2, I3, I4, I5, I6, I7, I8) [I2 <= 3 /\ 0 <= I2 /\ I8 <= 3 /\ 0 <= I8 /\ I6 <= 3 /\ 0 <= I4 /\ I7 <= 3 /\ 0 <= I7] f3(I9, I10, I11, I12, I13, I14, I15, I16, I17) -> f5(I9, I10, I11, I12, I13, 1 + I13, I15, I16, I17) [1 + 2 * I13 <= 2 + I16] f3(I18, I19, I20, I21, I22, I23, I24, I25, I26) -> f5(I18, I19, I20, I21, I22, -1 + I22, I24, I25, I26) [3 + I25 <= -1 + 2 * I22] f3(I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f5(I27, I28, I29, I30, I31, I31, I33, I34, I35) [2 * I31 <= 2 + I34 /\ 2 + I34 <= 2 * I31] f3(I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f5(I36, I37, I38, I39, I40, I40, I42, I43, I44) [-1 + 2 * I40 <= 2 + I43 /\ 2 + I43 <= -1 + 2 * I40] f5(I45, I46, I47, I48, I49, I50, I51, I52, I53) -> f1(I45, I46, I47, 1 + I47, I49, I50, I51, I52, I53) [1 + 2 * I47 <= I49 + I53] f5(I54, I55, I56, I57, I58, I59, I60, I61, I62) -> f1(I54, I55, I56, -1 + I56, I58, I59, I60, I61, I62) [1 + I58 + I62 <= -1 + 2 * I56] f5(I63, I64, I65, I66, I67, I68, I69, I70, I71) -> f1(I63, I64, I65, I65, I67, I68, I69, I70, I71) [2 * I65 <= I67 + I71 /\ I67 + I71 <= 2 * I65] f5(I72, I73, I74, I75, I76, I77, I78, I79, I80) -> f1(I72, I73, I74, I74, I76, I77, I78, I79, I80) [-1 + 2 * I74 <= I76 + I80 /\ I76 + I80 <= -1 + 2 * I74] f4(I81, I82, I83, I84, I85, I86, I87, I88, I89) -> f3(I81, I82, I84, I84, I86, I86, I87, I88, I89) f1(I90, I91, I92, I93, I94, I95, I96, I97, I98) -> f4(I90, I91, I92, I93, I94, I95, I96, I97, I98) [I91 = I91] f2(I99, I100, I101, I102, I103, I104, I105, I106, I107) -> f3(I99, I100, I102, I102, I104, I104, I105, I106, I107) f1(I108, I109, I110, I111, I112, I113, I114, I115, I116) -> f2(I108, I109, I110, I111, I112, I113, I114, I115, I116) [I108 = I108]