/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 = f12#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15) -> f1#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15) f11#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14) -> f8#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14) f10#(I15, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29) -> f11#(I15, I16, I17, I18, I19, I20, I21, I22, I23, rnd10, I29, I26, I27, I28, rnd15) [y1 = y1 /\ rnd15 = y1 /\ rnd10 = rnd10] f9#(I30, I31, I32, I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f10#(I30, I31, I32, I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44) [1 <= I44] f9#(I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59) -> f10#(I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59) [1 + I59 <= 0] f8#(I60, I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74) -> f9#(I60, I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74) [0 <= I62] f7#(I90, I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104) -> f8#(I90, I91, I92, I93, I94, I95, I96, I97, I98, I105, I104, I101, I102, I103, I106) [I107 = I107 /\ I106 = I107 /\ I105 = I105] f6#(I108, I109, I110, I111, I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122) -> f7#(I108, I109, I110, I111, I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122) [1 <= I122] f6#(I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137) -> f7#(I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137) [1 + I137 <= 0] f3#(I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152) -> f6#(I153, I142, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, rnd13, I151, I141) [0 <= I144 /\ -1 - I143 + I145 <= 0 /\ I154 = I142 /\ 0 <= I144 /\ rnd13 = I154 /\ I153 = I153 /\ 0 <= I144 /\ 0 <= I144 /\ 0 <= I144 /\ 0 <= I144] f5#(I155, I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169) -> f3#(I155, I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169) f3#(I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184) -> f5#(I170, I171, I172, I173, rnd5, 1 + I175, I176, I177, I178, I179, I180, rnd12, I182, rnd14, I184) [rnd5 = rnd12 /\ rnd12 = rnd14 /\ rnd14 = rnd14 /\ 0 <= -2 - I175 + I177 /\ 0 <= I176] f2#(I203, I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217) -> f3#(I203, I204, I205, I206, I218, 1 + I208, I209, I210, I211, I212, I213, I219, I215, I220, I217) [I218 = I219 /\ I219 = I220 /\ I220 = I220 /\ 0 <= -2 - I208 + I210] f1#(I221, I222, I223, I224, I225, I226, I227, I228, I229, I230, I231, I232, I233, I234, I235) -> f2#(I221, I222, I223, I224, 0, 0, I227, I228, rnd9, I230, I231, I232, I233, I234, I235) [rnd9 = rnd9] R = f12(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15) -> f1(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15) f11(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14) -> f8(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14) f10(I15, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29) -> f11(I15, I16, I17, I18, I19, I20, I21, I22, I23, rnd10, I29, I26, I27, I28, rnd15) [y1 = y1 /\ rnd15 = y1 /\ rnd10 = rnd10] f9(I30, I31, I32, I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f10(I30, I31, I32, I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44) [1 <= I44] f9(I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59) -> f10(I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59) [1 + I59 <= 0] f8(I60, I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74) -> f9(I60, I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74) [0 <= I62] f8(I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89) -> f4(rnd1, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89) [0 <= I77 /\ I89 <= 0 /\ 0 <= I89 /\ B0 = B0 /\ rnd1 = rnd1] f7(I90, I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104) -> f8(I90, I91, I92, I93, I94, I95, I96, I97, I98, I105, I104, I101, I102, I103, I106) [I107 = I107 /\ I106 = I107 /\ I105 = I105] f6(I108, I109, I110, I111, I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122) -> f7(I108, I109, I110, I111, I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122) [1 <= I122] f6(I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137) -> f7(I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137) [1 + I137 <= 0] f3(I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152) -> f6(I153, I142, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, rnd13, I151, I141) [0 <= I144 /\ -1 - I143 + I145 <= 0 /\ I154 = I142 /\ 0 <= I144 /\ rnd13 = I154 /\ I153 = I153 /\ 0 <= I144 /\ 0 <= I144 /\ 0 <= I144 /\ 0 <= I144] f5(I155, I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169) -> f3(I155, I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169) f3(I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184) -> f5(I170, I171, I172, I173, rnd5, 1 + I175, I176, I177, I178, I179, I180, rnd12, I182, rnd14, I184) [rnd5 = rnd12 /\ rnd12 = rnd14 /\ rnd14 = rnd14 /\ 0 <= -2 - I175 + I177 /\ 0 <= I176] f2(I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195, I196, I197, I198, I199) -> f4(I200, I189, I187, I188, I189, I190, I191, I192, I193, I194, I195, I196, I201, I198, I188) [-1 - I190 + I192 <= 0 /\ I202 = I189 /\ I201 = I202 /\ y2 = y2 /\ I188 <= 0 /\ 0 <= I188 /\ y3 = y3 /\ I200 = I200] f2(I203, I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217) -> f3(I203, I204, I205, I206, I218, 1 + I208, I209, I210, I211, I212, I213, I219, I215, I220, I217) [I218 = I219 /\ I219 = I220 /\ I220 = I220 /\ 0 <= -2 - I208 + I210] f1(I221, I222, I223, I224, I225, I226, I227, I228, I229, I230, I231, I232, I233, I234, I235) -> f2(I221, I222, I223, I224, 0, 0, I227, I228, rnd9, I230, I231, I232, I233, I234, I235) [rnd9 = rnd9] The dependency graph for this problem is: 0 -> 13 1 -> 5 2 -> 1 3 -> 2 4 -> 2 5 -> 3, 4 6 -> 5 7 -> 6 8 -> 6 9 -> 7, 8 10 -> 9, 11 11 -> 10 12 -> 9, 11 13 -> 12 Where: 0) f12#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15) -> f1#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15) 1) f11#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14) -> f8#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14) 2) f10#(I15, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29) -> f11#(I15, I16, I17, I18, I19, I20, I21, I22, I23, rnd10, I29, I26, I27, I28, rnd15) [y1 = y1 /\ rnd15 = y1 /\ rnd10 = rnd10] 3) f9#(I30, I31, I32, I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f10#(I30, I31, I32, I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44) [1 <= I44] 4) f9#(I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59) -> f10#(I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59) [1 + I59 <= 0] 5) f8#(I60, I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74) -> f9#(I60, I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74) [0 <= I62] 6) f7#(I90, I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104) -> f8#(I90, I91, I92, I93, I94, I95, I96, I97, I98, I105, I104, I101, I102, I103, I106) [I107 = I107 /\ I106 = I107 /\ I105 = I105] 7) f6#(I108, I109, I110, I111, I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122) -> f7#(I108, I109, I110, I111, I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122) [1 <= I122] 8) f6#(I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137) -> f7#(I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137) [1 + I137 <= 0] 9) f3#(I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152) -> f6#(I153, I142, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, rnd13, I151, I141) [0 <= I144 /\ -1 - I143 + I145 <= 0 /\ I154 = I142 /\ 0 <= I144 /\ rnd13 = I154 /\ I153 = I153 /\ 0 <= I144 /\ 0 <= I144 /\ 0 <= I144 /\ 0 <= I144] 10) f5#(I155, I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169) -> f3#(I155, I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169) 11) f3#(I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184) -> f5#(I170, I171, I172, I173, rnd5, 1 + I175, I176, I177, I178, I179, I180, rnd12, I182, rnd14, I184) [rnd5 = rnd12 /\ rnd12 = rnd14 /\ rnd14 = rnd14 /\ 0 <= -2 - I175 + I177 /\ 0 <= I176] 12) f2#(I203, I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217) -> f3#(I203, I204, I205, I206, I218, 1 + I208, I209, I210, I211, I212, I213, I219, I215, I220, I217) [I218 = I219 /\ I219 = I220 /\ I220 = I220 /\ 0 <= -2 - I208 + I210] 13) f1#(I221, I222, I223, I224, I225, I226, I227, I228, I229, I230, I231, I232, I233, I234, I235) -> f2#(I221, I222, I223, I224, 0, 0, I227, I228, rnd9, I230, I231, I232, I233, I234, I235) [rnd9 = rnd9] We have the following SCCs. { 10, 11 } { 1, 2, 3, 4, 5 } DP problem for innermost termination. P = f11#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14) -> f8#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14) f10#(I15, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29) -> f11#(I15, I16, I17, I18, I19, I20, I21, I22, I23, rnd10, I29, I26, I27, I28, rnd15) [y1 = y1 /\ rnd15 = y1 /\ rnd10 = rnd10] f9#(I30, I31, I32, I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f10#(I30, I31, I32, I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44) [1 <= I44] f9#(I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59) -> f10#(I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59) [1 + I59 <= 0] f8#(I60, I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74) -> f9#(I60, I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74) [0 <= I62] R = f12(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15) -> f1(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15) f11(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14) -> f8(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14) f10(I15, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29) -> f11(I15, I16, I17, I18, I19, I20, I21, I22, I23, rnd10, I29, I26, I27, I28, rnd15) [y1 = y1 /\ rnd15 = y1 /\ rnd10 = rnd10] f9(I30, I31, I32, I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f10(I30, I31, I32, I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44) [1 <= I44] f9(I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59) -> f10(I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59) [1 + I59 <= 0] f8(I60, I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74) -> f9(I60, I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74) [0 <= I62] f8(I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89) -> f4(rnd1, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89) [0 <= I77 /\ I89 <= 0 /\ 0 <= I89 /\ B0 = B0 /\ rnd1 = rnd1] f7(I90, I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104) -> f8(I90, I91, I92, I93, I94, I95, I96, I97, I98, I105, I104, I101, I102, I103, I106) [I107 = I107 /\ I106 = I107 /\ I105 = I105] f6(I108, I109, I110, I111, I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122) -> f7(I108, I109, I110, I111, I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122) [1 <= I122] f6(I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137) -> f7(I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137) [1 + I137 <= 0] f3(I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152) -> f6(I153, I142, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, rnd13, I151, I141) [0 <= I144 /\ -1 - I143 + I145 <= 0 /\ I154 = I142 /\ 0 <= I144 /\ rnd13 = I154 /\ I153 = I153 /\ 0 <= I144 /\ 0 <= I144 /\ 0 <= I144 /\ 0 <= I144] f5(I155, I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169) -> f3(I155, I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169) f3(I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184) -> f5(I170, I171, I172, I173, rnd5, 1 + I175, I176, I177, I178, I179, I180, rnd12, I182, rnd14, I184) [rnd5 = rnd12 /\ rnd12 = rnd14 /\ rnd14 = rnd14 /\ 0 <= -2 - I175 + I177 /\ 0 <= I176] f2(I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195, I196, I197, I198, I199) -> f4(I200, I189, I187, I188, I189, I190, I191, I192, I193, I194, I195, I196, I201, I198, I188) [-1 - I190 + I192 <= 0 /\ I202 = I189 /\ I201 = I202 /\ y2 = y2 /\ I188 <= 0 /\ 0 <= I188 /\ y3 = y3 /\ I200 = I200] f2(I203, I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217) -> f3(I203, I204, I205, I206, I218, 1 + I208, I209, I210, I211, I212, I213, I219, I215, I220, I217) [I218 = I219 /\ I219 = I220 /\ I220 = I220 /\ 0 <= -2 - I208 + I210] f1(I221, I222, I223, I224, I225, I226, I227, I228, I229, I230, I231, I232, I233, I234, I235) -> f2(I221, I222, I223, I224, 0, 0, I227, I228, rnd9, I230, I231, I232, I233, I234, I235) [rnd9 = rnd9]