/export/starexec/sandbox/solver/bin/starexec_run_Transition /export/starexec/sandbox/benchmark/theBenchmark.smt2 /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES DP problem for innermost termination. P = f7#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22, x23, x24, x25, x26, x27, x28, x29, x30, x31, x32, x33) -> f6#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22, x23, x24, x25, x26, x27, x28, x29, x30, x31, x32, x33) f6#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32) -> f3#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, 0, I11, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32) f2#(I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65) -> f4#(I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65) f3#(I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98) -> f1#(I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98) f4#(I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111, I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131) -> f2#(I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111, -1 * I106, 1 + I113, I114, rnd17, rnd18, rnd19, rnd20, rnd21, rnd22, rnd23, rnd24, rnd25, rnd26, rnd27, rnd28, rnd29, rnd30, rnd31, rnd32, rnd33) [1 + I113 <= I110 /\ rnd17 = rnd17 /\ y15 = y15 /\ rnd22 = rnd22 /\ y14 = y14 /\ rnd23 = rnd23 /\ y13 = y13 /\ rnd24 = rnd24 /\ y12 = y12 /\ rnd18 = rnd17 + rnd24 /\ rnd21 = rnd17 - rnd24 /\ rnd19 = rnd22 + rnd23 /\ rnd20 = rnd22 - rnd23 /\ y1 = I107 /\ y16 = y16 /\ y4 = I108 /\ y5 = -1 * I100 /\ y17 = y12 + y15 /\ y18 = y13 + y14 /\ y19 = y12 + y14 /\ y21 = y13 + y15 /\ y6 = I111 /\ rnd33 = rnd33 /\ y7 = I104 /\ rnd25 = rnd25 /\ y8 = I102 /\ rnd26 = rnd26 /\ y9 = I105 /\ rnd27 = rnd27 /\ y10 = I99 /\ rnd28 = rnd28 /\ y11 = -1 * I109 /\ rnd29 = rnd29 /\ y2 = -1 * I103 /\ rnd30 = rnd30 /\ y3 = -1 * I101 /\ y20 = y20 /\ y22 = y22 /\ rnd31 = y20 + rnd33 /\ rnd32 = y22 + rnd33] f1#(I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195, I196, I197) -> f3#(I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, -1 * I172, 1 + I179, I180, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214) [1 + I179 <= I176 /\ I198 = I198 /\ I215 = I215 /\ I203 = I203 /\ I216 = I216 /\ I204 = I204 /\ I217 = I217 /\ I205 = I205 /\ I218 = I218 /\ I199 = I198 + I205 /\ I202 = I198 - I205 /\ I200 = I203 + I204 /\ I201 = I203 - I204 /\ I219 = I173 /\ B0 = B0 /\ I220 = I174 /\ I221 = -1 * I166 /\ I222 = I218 + I215 /\ I223 = I217 + I216 /\ I224 = I218 + I216 /\ I225 = I217 + I215 /\ I226 = I177 /\ I214 = I214 /\ I227 = I170 /\ I206 = I206 /\ I228 = I168 /\ I207 = I207 /\ I229 = I171 /\ I208 = I208 /\ I230 = I165 /\ I209 = I209 /\ I231 = -1 * I175 /\ I210 = I210 /\ I232 = -1 * I169 /\ I211 = I211 /\ I233 = -1 * I167 /\ I234 = I234 /\ I235 = I235 /\ I212 = I234 + I214 /\ I213 = I235 + I214] f1#(I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246, I247, I248, I249, I250, I251, I252, I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268) -> f2#(I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246, I247, I248, I249, 0, I251, I252, I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268) [I247 <= I250] R = f7(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22, x23, x24, x25, x26, x27, x28, x29, x30, x31, x32, x33) -> f6(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22, x23, x24, x25, x26, x27, x28, x29, x30, x31, x32, x33) f6(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32) -> f3(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, 0, I11, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32) f2(I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65) -> f4(I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65) f3(I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98) -> f1(I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98) f4(I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111, I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131) -> f2(I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111, -1 * I106, 1 + I113, I114, rnd17, rnd18, rnd19, rnd20, rnd21, rnd22, rnd23, rnd24, rnd25, rnd26, rnd27, rnd28, rnd29, rnd30, rnd31, rnd32, rnd33) [1 + I113 <= I110 /\ rnd17 = rnd17 /\ y15 = y15 /\ rnd22 = rnd22 /\ y14 = y14 /\ rnd23 = rnd23 /\ y13 = y13 /\ rnd24 = rnd24 /\ y12 = y12 /\ rnd18 = rnd17 + rnd24 /\ rnd21 = rnd17 - rnd24 /\ rnd19 = rnd22 + rnd23 /\ rnd20 = rnd22 - rnd23 /\ y1 = I107 /\ y16 = y16 /\ y4 = I108 /\ y5 = -1 * I100 /\ y17 = y12 + y15 /\ y18 = y13 + y14 /\ y19 = y12 + y14 /\ y21 = y13 + y15 /\ y6 = I111 /\ rnd33 = rnd33 /\ y7 = I104 /\ rnd25 = rnd25 /\ y8 = I102 /\ rnd26 = rnd26 /\ y9 = I105 /\ rnd27 = rnd27 /\ y10 = I99 /\ rnd28 = rnd28 /\ y11 = -1 * I109 /\ rnd29 = rnd29 /\ y2 = -1 * I103 /\ rnd30 = rnd30 /\ y3 = -1 * I101 /\ y20 = y20 /\ y22 = y22 /\ rnd31 = y20 + rnd33 /\ rnd32 = y22 + rnd33] f4(I132, I133, I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I158, I159, I160, I161, I162, I163, I164) -> f5(I132, I133, I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I158, I159, I160, I161, I162, I163, I164) [I143 <= I146] f1(I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195, I196, I197) -> f3(I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, -1 * I172, 1 + I179, I180, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214) [1 + I179 <= I176 /\ I198 = I198 /\ I215 = I215 /\ I203 = I203 /\ I216 = I216 /\ I204 = I204 /\ I217 = I217 /\ I205 = I205 /\ I218 = I218 /\ I199 = I198 + I205 /\ I202 = I198 - I205 /\ I200 = I203 + I204 /\ I201 = I203 - I204 /\ I219 = I173 /\ B0 = B0 /\ I220 = I174 /\ I221 = -1 * I166 /\ I222 = I218 + I215 /\ I223 = I217 + I216 /\ I224 = I218 + I216 /\ I225 = I217 + I215 /\ I226 = I177 /\ I214 = I214 /\ I227 = I170 /\ I206 = I206 /\ I228 = I168 /\ I207 = I207 /\ I229 = I171 /\ I208 = I208 /\ I230 = I165 /\ I209 = I209 /\ I231 = -1 * I175 /\ I210 = I210 /\ I232 = -1 * I169 /\ I211 = I211 /\ I233 = -1 * I167 /\ I234 = I234 /\ I235 = I235 /\ I212 = I234 + I214 /\ I213 = I235 + I214] f1(I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246, I247, I248, I249, I250, I251, I252, I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268) -> f2(I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246, I247, I248, I249, 0, I251, I252, I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268) [I247 <= I250] The dependency graph for this problem is: 0 -> 1 1 -> 3 2 -> 4 3 -> 5, 6 4 -> 2 5 -> 3 6 -> 2 Where: 0) f7#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22, x23, x24, x25, x26, x27, x28, x29, x30, x31, x32, x33) -> f6#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22, x23, x24, x25, x26, x27, x28, x29, x30, x31, x32, x33) 1) f6#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32) -> f3#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, 0, I11, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32) 2) f2#(I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65) -> f4#(I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65) 3) f3#(I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98) -> f1#(I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98) 4) f4#(I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111, I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131) -> f2#(I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111, -1 * I106, 1 + I113, I114, rnd17, rnd18, rnd19, rnd20, rnd21, rnd22, rnd23, rnd24, rnd25, rnd26, rnd27, rnd28, rnd29, rnd30, rnd31, rnd32, rnd33) [1 + I113 <= I110 /\ rnd17 = rnd17 /\ y15 = y15 /\ rnd22 = rnd22 /\ y14 = y14 /\ rnd23 = rnd23 /\ y13 = y13 /\ rnd24 = rnd24 /\ y12 = y12 /\ rnd18 = rnd17 + rnd24 /\ rnd21 = rnd17 - rnd24 /\ rnd19 = rnd22 + rnd23 /\ rnd20 = rnd22 - rnd23 /\ y1 = I107 /\ y16 = y16 /\ y4 = I108 /\ y5 = -1 * I100 /\ y17 = y12 + y15 /\ y18 = y13 + y14 /\ y19 = y12 + y14 /\ y21 = y13 + y15 /\ y6 = I111 /\ rnd33 = rnd33 /\ y7 = I104 /\ rnd25 = rnd25 /\ y8 = I102 /\ rnd26 = rnd26 /\ y9 = I105 /\ rnd27 = rnd27 /\ y10 = I99 /\ rnd28 = rnd28 /\ y11 = -1 * I109 /\ rnd29 = rnd29 /\ y2 = -1 * I103 /\ rnd30 = rnd30 /\ y3 = -1 * I101 /\ y20 = y20 /\ y22 = y22 /\ rnd31 = y20 + rnd33 /\ rnd32 = y22 + rnd33] 5) f1#(I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195, I196, I197) -> f3#(I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, -1 * I172, 1 + I179, I180, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214) [1 + I179 <= I176 /\ I198 = I198 /\ I215 = I215 /\ I203 = I203 /\ I216 = I216 /\ I204 = I204 /\ I217 = I217 /\ I205 = I205 /\ I218 = I218 /\ I199 = I198 + I205 /\ I202 = I198 - I205 /\ I200 = I203 + I204 /\ I201 = I203 - I204 /\ I219 = I173 /\ B0 = B0 /\ I220 = I174 /\ I221 = -1 * I166 /\ I222 = I218 + I215 /\ I223 = I217 + I216 /\ I224 = I218 + I216 /\ I225 = I217 + I215 /\ I226 = I177 /\ I214 = I214 /\ I227 = I170 /\ I206 = I206 /\ I228 = I168 /\ I207 = I207 /\ I229 = I171 /\ I208 = I208 /\ I230 = I165 /\ I209 = I209 /\ I231 = -1 * I175 /\ I210 = I210 /\ I232 = -1 * I169 /\ I211 = I211 /\ I233 = -1 * I167 /\ I234 = I234 /\ I235 = I235 /\ I212 = I234 + I214 /\ I213 = I235 + I214] 6) f1#(I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246, I247, I248, I249, I250, I251, I252, I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268) -> f2#(I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246, I247, I248, I249, 0, I251, I252, I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268) [I247 <= I250] We have the following SCCs. { 3, 5 } { 2, 4 } DP problem for innermost termination. P = f2#(I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65) -> f4#(I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65) f4#(I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111, I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131) -> f2#(I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111, -1 * I106, 1 + I113, I114, rnd17, rnd18, rnd19, rnd20, rnd21, rnd22, rnd23, rnd24, rnd25, rnd26, rnd27, rnd28, rnd29, rnd30, rnd31, rnd32, rnd33) [1 + I113 <= I110 /\ rnd17 = rnd17 /\ y15 = y15 /\ rnd22 = rnd22 /\ y14 = y14 /\ rnd23 = rnd23 /\ y13 = y13 /\ rnd24 = rnd24 /\ y12 = y12 /\ rnd18 = rnd17 + rnd24 /\ rnd21 = rnd17 - rnd24 /\ rnd19 = rnd22 + rnd23 /\ rnd20 = rnd22 - rnd23 /\ y1 = I107 /\ y16 = y16 /\ y4 = I108 /\ y5 = -1 * I100 /\ y17 = y12 + y15 /\ y18 = y13 + y14 /\ y19 = y12 + y14 /\ y21 = y13 + y15 /\ y6 = I111 /\ rnd33 = rnd33 /\ y7 = I104 /\ rnd25 = rnd25 /\ y8 = I102 /\ rnd26 = rnd26 /\ y9 = I105 /\ rnd27 = rnd27 /\ y10 = I99 /\ rnd28 = rnd28 /\ y11 = -1 * I109 /\ rnd29 = rnd29 /\ y2 = -1 * I103 /\ rnd30 = rnd30 /\ y3 = -1 * I101 /\ y20 = y20 /\ y22 = y22 /\ rnd31 = y20 + rnd33 /\ rnd32 = y22 + rnd33] R = f7(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22, x23, x24, x25, x26, x27, x28, x29, x30, x31, x32, x33) -> f6(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22, x23, x24, x25, x26, x27, x28, x29, x30, x31, x32, x33) f6(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32) -> f3(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, 0, I11, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32) f2(I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65) -> f4(I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65) f3(I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98) -> f1(I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98) f4(I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111, I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131) -> f2(I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111, -1 * I106, 1 + I113, I114, rnd17, rnd18, rnd19, rnd20, rnd21, rnd22, rnd23, rnd24, rnd25, rnd26, rnd27, rnd28, rnd29, rnd30, rnd31, rnd32, rnd33) [1 + I113 <= I110 /\ rnd17 = rnd17 /\ y15 = y15 /\ rnd22 = rnd22 /\ y14 = y14 /\ rnd23 = rnd23 /\ y13 = y13 /\ rnd24 = rnd24 /\ y12 = y12 /\ rnd18 = rnd17 + rnd24 /\ rnd21 = rnd17 - rnd24 /\ rnd19 = rnd22 + rnd23 /\ rnd20 = rnd22 - rnd23 /\ y1 = I107 /\ y16 = y16 /\ y4 = I108 /\ y5 = -1 * I100 /\ y17 = y12 + y15 /\ y18 = y13 + y14 /\ y19 = y12 + y14 /\ y21 = y13 + y15 /\ y6 = I111 /\ rnd33 = rnd33 /\ y7 = I104 /\ rnd25 = rnd25 /\ y8 = I102 /\ rnd26 = rnd26 /\ y9 = I105 /\ rnd27 = rnd27 /\ y10 = I99 /\ rnd28 = rnd28 /\ y11 = -1 * I109 /\ rnd29 = rnd29 /\ y2 = -1 * I103 /\ rnd30 = rnd30 /\ y3 = -1 * I101 /\ y20 = y20 /\ y22 = y22 /\ rnd31 = y20 + rnd33 /\ rnd32 = y22 + rnd33] f4(I132, I133, I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I158, I159, I160, I161, I162, I163, I164) -> f5(I132, I133, I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I158, I159, I160, I161, I162, I163, I164) [I143 <= I146] f1(I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195, I196, I197) -> f3(I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, -1 * I172, 1 + I179, I180, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214) [1 + I179 <= I176 /\ I198 = I198 /\ I215 = I215 /\ I203 = I203 /\ I216 = I216 /\ I204 = I204 /\ I217 = I217 /\ I205 = I205 /\ I218 = I218 /\ I199 = I198 + I205 /\ I202 = I198 - I205 /\ I200 = I203 + I204 /\ I201 = I203 - I204 /\ I219 = I173 /\ B0 = B0 /\ I220 = I174 /\ I221 = -1 * I166 /\ I222 = I218 + I215 /\ I223 = I217 + I216 /\ I224 = I218 + I216 /\ I225 = I217 + I215 /\ I226 = I177 /\ I214 = I214 /\ I227 = I170 /\ I206 = I206 /\ I228 = I168 /\ I207 = I207 /\ I229 = I171 /\ I208 = I208 /\ I230 = I165 /\ I209 = I209 /\ I231 = -1 * I175 /\ I210 = I210 /\ I232 = -1 * I169 /\ I211 = I211 /\ I233 = -1 * I167 /\ I234 = I234 /\ I235 = I235 /\ I212 = I234 + I214 /\ I213 = I235 + I214] f1(I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246, I247, I248, I249, I250, I251, I252, I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268) -> f2(I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246, I247, I248, I249, 0, I251, I252, I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268) [I247 <= I250] We use the reverse value criterion with the projection function NU: NU[f4#(z1,z2,z3,z4,z5,z6,z7,z8,z9,z10,z11,z12,z13,z14,z15,z16,z17,z18,z19,z20,z21,z22,z23,z24,z25,z26,z27,z28,z29,z30,z31,z32,z33)] = z12 + -1 * (1 + z15) NU[f2#(z1,z2,z3,z4,z5,z6,z7,z8,z9,z10,z11,z12,z13,z14,z15,z16,z17,z18,z19,z20,z21,z22,z23,z24,z25,z26,z27,z28,z29,z30,z31,z32,z33)] = z12 + -1 * (1 + z15) This gives the following inequalities: ==> I44 + -1 * (1 + I47) >= I44 + -1 * (1 + I47) 1 + I113 <= I110 /\ rnd17 = rnd17 /\ y15 = y15 /\ rnd22 = rnd22 /\ y14 = y14 /\ rnd23 = rnd23 /\ y13 = y13 /\ rnd24 = rnd24 /\ y12 = y12 /\ rnd18 = rnd17 + rnd24 /\ rnd21 = rnd17 - rnd24 /\ rnd19 = rnd22 + rnd23 /\ rnd20 = rnd22 - rnd23 /\ y1 = I107 /\ y16 = y16 /\ y4 = I108 /\ y5 = -1 * I100 /\ y17 = y12 + y15 /\ y18 = y13 + y14 /\ y19 = y12 + y14 /\ y21 = y13 + y15 /\ y6 = I111 /\ rnd33 = rnd33 /\ y7 = I104 /\ rnd25 = rnd25 /\ y8 = I102 /\ rnd26 = rnd26 /\ y9 = I105 /\ rnd27 = rnd27 /\ y10 = I99 /\ rnd28 = rnd28 /\ y11 = -1 * I109 /\ rnd29 = rnd29 /\ y2 = -1 * I103 /\ rnd30 = rnd30 /\ y3 = -1 * I101 /\ y20 = y20 /\ y22 = y22 /\ rnd31 = y20 + rnd33 /\ rnd32 = y22 + rnd33 ==> I110 + -1 * (1 + I113) > I110 + -1 * (1 + (1 + I113)) with I110 + -1 * (1 + I113) >= 0 We remove all the strictly oriented dependency pairs. DP problem for innermost termination. P = f2#(I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65) -> f4#(I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65) R = f7(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22, x23, x24, x25, x26, x27, x28, x29, x30, x31, x32, x33) -> f6(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22, x23, x24, x25, x26, x27, x28, x29, x30, x31, x32, x33) f6(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32) -> f3(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, 0, I11, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32) f2(I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65) -> f4(I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65) f3(I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98) -> f1(I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98) f4(I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111, I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131) -> f2(I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111, -1 * I106, 1 + I113, I114, rnd17, rnd18, rnd19, rnd20, rnd21, rnd22, rnd23, rnd24, rnd25, rnd26, rnd27, rnd28, rnd29, rnd30, rnd31, rnd32, rnd33) [1 + I113 <= I110 /\ rnd17 = rnd17 /\ y15 = y15 /\ rnd22 = rnd22 /\ y14 = y14 /\ rnd23 = rnd23 /\ y13 = y13 /\ rnd24 = rnd24 /\ y12 = y12 /\ rnd18 = rnd17 + rnd24 /\ rnd21 = rnd17 - rnd24 /\ rnd19 = rnd22 + rnd23 /\ rnd20 = rnd22 - rnd23 /\ y1 = I107 /\ y16 = y16 /\ y4 = I108 /\ y5 = -1 * I100 /\ y17 = y12 + y15 /\ y18 = y13 + y14 /\ y19 = y12 + y14 /\ y21 = y13 + y15 /\ y6 = I111 /\ rnd33 = rnd33 /\ y7 = I104 /\ rnd25 = rnd25 /\ y8 = I102 /\ rnd26 = rnd26 /\ y9 = I105 /\ rnd27 = rnd27 /\ y10 = I99 /\ rnd28 = rnd28 /\ y11 = -1 * I109 /\ rnd29 = rnd29 /\ y2 = -1 * I103 /\ rnd30 = rnd30 /\ y3 = -1 * I101 /\ y20 = y20 /\ y22 = y22 /\ rnd31 = y20 + rnd33 /\ rnd32 = y22 + rnd33] f4(I132, I133, I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I158, I159, I160, I161, I162, I163, I164) -> f5(I132, I133, I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I158, I159, I160, I161, I162, I163, I164) [I143 <= I146] f1(I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195, I196, I197) -> f3(I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, -1 * I172, 1 + I179, I180, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214) [1 + I179 <= I176 /\ I198 = I198 /\ I215 = I215 /\ I203 = I203 /\ I216 = I216 /\ I204 = I204 /\ I217 = I217 /\ I205 = I205 /\ I218 = I218 /\ I199 = I198 + I205 /\ I202 = I198 - I205 /\ I200 = I203 + I204 /\ I201 = I203 - I204 /\ I219 = I173 /\ B0 = B0 /\ I220 = I174 /\ I221 = -1 * I166 /\ I222 = I218 + I215 /\ I223 = I217 + I216 /\ I224 = I218 + I216 /\ I225 = I217 + I215 /\ I226 = I177 /\ I214 = I214 /\ I227 = I170 /\ I206 = I206 /\ I228 = I168 /\ I207 = I207 /\ I229 = I171 /\ I208 = I208 /\ I230 = I165 /\ I209 = I209 /\ I231 = -1 * I175 /\ I210 = I210 /\ I232 = -1 * I169 /\ I211 = I211 /\ I233 = -1 * I167 /\ I234 = I234 /\ I235 = I235 /\ I212 = I234 + I214 /\ I213 = I235 + I214] f1(I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246, I247, I248, I249, I250, I251, I252, I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268) -> f2(I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246, I247, I248, I249, 0, I251, I252, I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268) [I247 <= I250] The dependency graph for this problem is: 2 -> Where: 2) f2#(I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65) -> f4#(I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65) We have the following SCCs. DP problem for innermost termination. P = f3#(I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98) -> f1#(I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98) f1#(I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195, I196, I197) -> f3#(I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, -1 * I172, 1 + I179, I180, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214) [1 + I179 <= I176 /\ I198 = I198 /\ I215 = I215 /\ I203 = I203 /\ I216 = I216 /\ I204 = I204 /\ I217 = I217 /\ I205 = I205 /\ I218 = I218 /\ I199 = I198 + I205 /\ I202 = I198 - I205 /\ I200 = I203 + I204 /\ I201 = I203 - I204 /\ I219 = I173 /\ B0 = B0 /\ I220 = I174 /\ I221 = -1 * I166 /\ I222 = I218 + I215 /\ I223 = I217 + I216 /\ I224 = I218 + I216 /\ I225 = I217 + I215 /\ I226 = I177 /\ I214 = I214 /\ I227 = I170 /\ I206 = I206 /\ I228 = I168 /\ I207 = I207 /\ I229 = I171 /\ I208 = I208 /\ I230 = I165 /\ I209 = I209 /\ I231 = -1 * I175 /\ I210 = I210 /\ I232 = -1 * I169 /\ I211 = I211 /\ I233 = -1 * I167 /\ I234 = I234 /\ I235 = I235 /\ I212 = I234 + I214 /\ I213 = I235 + I214] R = f7(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22, x23, x24, x25, x26, x27, x28, x29, x30, x31, x32, x33) -> f6(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22, x23, x24, x25, x26, x27, x28, x29, x30, x31, x32, x33) f6(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32) -> f3(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, 0, I11, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32) f2(I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65) -> f4(I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65) f3(I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98) -> f1(I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98) f4(I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111, I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131) -> f2(I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111, -1 * I106, 1 + I113, I114, rnd17, rnd18, rnd19, rnd20, rnd21, rnd22, rnd23, rnd24, rnd25, rnd26, rnd27, rnd28, rnd29, rnd30, rnd31, rnd32, rnd33) [1 + I113 <= I110 /\ rnd17 = rnd17 /\ y15 = y15 /\ rnd22 = rnd22 /\ y14 = y14 /\ rnd23 = rnd23 /\ y13 = y13 /\ rnd24 = rnd24 /\ y12 = y12 /\ rnd18 = rnd17 + rnd24 /\ rnd21 = rnd17 - rnd24 /\ rnd19 = rnd22 + rnd23 /\ rnd20 = rnd22 - rnd23 /\ y1 = I107 /\ y16 = y16 /\ y4 = I108 /\ y5 = -1 * I100 /\ y17 = y12 + y15 /\ y18 = y13 + y14 /\ y19 = y12 + y14 /\ y21 = y13 + y15 /\ y6 = I111 /\ rnd33 = rnd33 /\ y7 = I104 /\ rnd25 = rnd25 /\ y8 = I102 /\ rnd26 = rnd26 /\ y9 = I105 /\ rnd27 = rnd27 /\ y10 = I99 /\ rnd28 = rnd28 /\ y11 = -1 * I109 /\ rnd29 = rnd29 /\ y2 = -1 * I103 /\ rnd30 = rnd30 /\ y3 = -1 * I101 /\ y20 = y20 /\ y22 = y22 /\ rnd31 = y20 + rnd33 /\ rnd32 = y22 + rnd33] f4(I132, I133, I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I158, I159, I160, I161, I162, I163, I164) -> f5(I132, I133, I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I158, I159, I160, I161, I162, I163, I164) [I143 <= I146] f1(I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195, I196, I197) -> f3(I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, -1 * I172, 1 + I179, I180, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214) [1 + I179 <= I176 /\ I198 = I198 /\ I215 = I215 /\ I203 = I203 /\ I216 = I216 /\ I204 = I204 /\ I217 = I217 /\ I205 = I205 /\ I218 = I218 /\ I199 = I198 + I205 /\ I202 = I198 - I205 /\ I200 = I203 + I204 /\ I201 = I203 - I204 /\ I219 = I173 /\ B0 = B0 /\ I220 = I174 /\ I221 = -1 * I166 /\ I222 = I218 + I215 /\ I223 = I217 + I216 /\ I224 = I218 + I216 /\ I225 = I217 + I215 /\ I226 = I177 /\ I214 = I214 /\ I227 = I170 /\ I206 = I206 /\ I228 = I168 /\ I207 = I207 /\ I229 = I171 /\ I208 = I208 /\ I230 = I165 /\ I209 = I209 /\ I231 = -1 * I175 /\ I210 = I210 /\ I232 = -1 * I169 /\ I211 = I211 /\ I233 = -1 * I167 /\ I234 = I234 /\ I235 = I235 /\ I212 = I234 + I214 /\ I213 = I235 + I214] f1(I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246, I247, I248, I249, I250, I251, I252, I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268) -> f2(I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246, I247, I248, I249, 0, I251, I252, I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268) [I247 <= I250] We use the reverse value criterion with the projection function NU: NU[f1#(z1,z2,z3,z4,z5,z6,z7,z8,z9,z10,z11,z12,z13,z14,z15,z16,z17,z18,z19,z20,z21,z22,z23,z24,z25,z26,z27,z28,z29,z30,z31,z32,z33)] = z12 + -1 * (1 + z15) NU[f3#(z1,z2,z3,z4,z5,z6,z7,z8,z9,z10,z11,z12,z13,z14,z15,z16,z17,z18,z19,z20,z21,z22,z23,z24,z25,z26,z27,z28,z29,z30,z31,z32,z33)] = z12 + -1 * (1 + z15) This gives the following inequalities: ==> I77 + -1 * (1 + I80) >= I77 + -1 * (1 + I80) 1 + I179 <= I176 /\ I198 = I198 /\ I215 = I215 /\ I203 = I203 /\ I216 = I216 /\ I204 = I204 /\ I217 = I217 /\ I205 = I205 /\ I218 = I218 /\ I199 = I198 + I205 /\ I202 = I198 - I205 /\ I200 = I203 + I204 /\ I201 = I203 - I204 /\ I219 = I173 /\ B0 = B0 /\ I220 = I174 /\ I221 = -1 * I166 /\ I222 = I218 + I215 /\ I223 = I217 + I216 /\ I224 = I218 + I216 /\ I225 = I217 + I215 /\ I226 = I177 /\ I214 = I214 /\ I227 = I170 /\ I206 = I206 /\ I228 = I168 /\ I207 = I207 /\ I229 = I171 /\ I208 = I208 /\ I230 = I165 /\ I209 = I209 /\ I231 = -1 * I175 /\ I210 = I210 /\ I232 = -1 * I169 /\ I211 = I211 /\ I233 = -1 * I167 /\ I234 = I234 /\ I235 = I235 /\ I212 = I234 + I214 /\ I213 = I235 + I214 ==> I176 + -1 * (1 + I179) > I176 + -1 * (1 + (1 + I179)) with I176 + -1 * (1 + I179) >= 0 We remove all the strictly oriented dependency pairs. DP problem for innermost termination. P = f3#(I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98) -> f1#(I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98) R = f7(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22, x23, x24, x25, x26, x27, x28, x29, x30, x31, x32, x33) -> f6(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22, x23, x24, x25, x26, x27, x28, x29, x30, x31, x32, x33) f6(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32) -> f3(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, 0, I11, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32) f2(I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65) -> f4(I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65) f3(I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98) -> f1(I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98) f4(I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111, I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131) -> f2(I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111, -1 * I106, 1 + I113, I114, rnd17, rnd18, rnd19, rnd20, rnd21, rnd22, rnd23, rnd24, rnd25, rnd26, rnd27, rnd28, rnd29, rnd30, rnd31, rnd32, rnd33) [1 + I113 <= I110 /\ rnd17 = rnd17 /\ y15 = y15 /\ rnd22 = rnd22 /\ y14 = y14 /\ rnd23 = rnd23 /\ y13 = y13 /\ rnd24 = rnd24 /\ y12 = y12 /\ rnd18 = rnd17 + rnd24 /\ rnd21 = rnd17 - rnd24 /\ rnd19 = rnd22 + rnd23 /\ rnd20 = rnd22 - rnd23 /\ y1 = I107 /\ y16 = y16 /\ y4 = I108 /\ y5 = -1 * I100 /\ y17 = y12 + y15 /\ y18 = y13 + y14 /\ y19 = y12 + y14 /\ y21 = y13 + y15 /\ y6 = I111 /\ rnd33 = rnd33 /\ y7 = I104 /\ rnd25 = rnd25 /\ y8 = I102 /\ rnd26 = rnd26 /\ y9 = I105 /\ rnd27 = rnd27 /\ y10 = I99 /\ rnd28 = rnd28 /\ y11 = -1 * I109 /\ rnd29 = rnd29 /\ y2 = -1 * I103 /\ rnd30 = rnd30 /\ y3 = -1 * I101 /\ y20 = y20 /\ y22 = y22 /\ rnd31 = y20 + rnd33 /\ rnd32 = y22 + rnd33] f4(I132, I133, I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I158, I159, I160, I161, I162, I163, I164) -> f5(I132, I133, I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I158, I159, I160, I161, I162, I163, I164) [I143 <= I146] f1(I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195, I196, I197) -> f3(I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, -1 * I172, 1 + I179, I180, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214) [1 + I179 <= I176 /\ I198 = I198 /\ I215 = I215 /\ I203 = I203 /\ I216 = I216 /\ I204 = I204 /\ I217 = I217 /\ I205 = I205 /\ I218 = I218 /\ I199 = I198 + I205 /\ I202 = I198 - I205 /\ I200 = I203 + I204 /\ I201 = I203 - I204 /\ I219 = I173 /\ B0 = B0 /\ I220 = I174 /\ I221 = -1 * I166 /\ I222 = I218 + I215 /\ I223 = I217 + I216 /\ I224 = I218 + I216 /\ I225 = I217 + I215 /\ I226 = I177 /\ I214 = I214 /\ I227 = I170 /\ I206 = I206 /\ I228 = I168 /\ I207 = I207 /\ I229 = I171 /\ I208 = I208 /\ I230 = I165 /\ I209 = I209 /\ I231 = -1 * I175 /\ I210 = I210 /\ I232 = -1 * I169 /\ I211 = I211 /\ I233 = -1 * I167 /\ I234 = I234 /\ I235 = I235 /\ I212 = I234 + I214 /\ I213 = I235 + I214] f1(I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246, I247, I248, I249, I250, I251, I252, I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268) -> f2(I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246, I247, I248, I249, 0, I251, I252, I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268) [I247 <= I250] The dependency graph for this problem is: 3 -> Where: 3) f3#(I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98) -> f1#(I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98) We have the following SCCs.