/export/starexec/sandbox2/solver/bin/starexec_run_Transition /export/starexec/sandbox2/benchmark/theBenchmark.smt2 /export/starexec/sandbox2/output/output_files


--------------------------------------------------------------------------------


YES

DP problem for innermost termination.
P =
  f22#(x1, x2, x3, x4, x5, x6, x7) -> f21#(x1, x2, x3, x4, x5, x6, x7) 
  f21#(I0, I1, I2, I3, I4, I5, I6) -> f1#(2, 0, I2, I3, rnd5, rnd6, I6) [rnd6 = rnd6 /\ rnd5 = rnd5]
  f2#(I7, I8, I9, I10, I11, I12, I13) -> f3#(I7, I8, 0, I10, I11, I12, I13) [1 + I8 <= I7]
  f2#(I14, I15, I16, I17, I18, I19, I20) -> f14#(I14, 0, I16, I17, I18, I19, I20) [I14 <= I15]
  f4#(I21, I22, I23, I24, I25, I26, I27) -> f3#(I21, I22, 1 + I23, I24, I25, I26, I27) [1 + I23 <= I21]
  f4#(I28, I29, I30, I31, I32, I33, I34) -> f1#(I28, 1 + I29, I30, I31, I32, I33, I34) [I28 <= I30]
  f19#(I35, I36, I37, I38, I39, I40, I41) -> f17#(I35, I36, I37, I38, I39, I40, I41) 
  f15#(I42, I43, I44, I45, I46, I47, I48) -> f18#(I42, I43, 0, I45, I46, I47, I48) [1 + I43 <= I42]
  f15#(I49, I50, I51, I52, I53, I54, I55) -> f16#(I49, I50, I51, I52, I53, I54, I55) [I49 <= I50]
  f20#(I56, I57, I58, I59, I60, I61, I62) -> f19#(I56, I57, I58, 0, I60, I61, I62) [1 + I58 <= I56]
  f20#(I63, I64, I65, I66, I67, I68, I69) -> f14#(I63, 1 + I64, I65, I66, I67, I68, I69) [I63 <= I65]
  f18#(I70, I71, I72, I73, I74, I75, I76) -> f20#(I70, I71, I72, I73, I74, I75, I76) 
  f17#(I77, I78, I79, I80, I81, I82, I83) -> f19#(I77, I78, I79, 1 + I80, I81, I82, I83) [1 + I80 <= I77]
  f17#(I84, I85, I86, I87, I88, I89, I90) -> f18#(I84, I85, 1 + I86, I87, I88, I89, I90) [I84 <= I87]
  f16#(I91, I92, I93, I94, I95, I96, I97) -> f13#(I91, I92, I93, I94, I95, I96, I97) 
  f16#(I98, I99, I100, I101, I102, I103, I104) -> f5#(I98, I99, I100, I101, I102, I103, I104) 
  f16#(I105, I106, I107, I108, I109, I110, I111) -> f5#(I105, I106, I107, I108, I109, I110, I111) 
  f14#(I112, I113, I114, I115, I116, I117, I118) -> f15#(I112, I113, I114, I115, I116, I117, I118) 
  f13#(I119, I120, I121, I122, I123, I124, I125) -> f12#(I119, I120, I121, I122, I123, I124, I125) 
  f13#(I126, I127, I128, I129, I130, I131, I132) -> f7#(I126, I127, I128, I129, I130, I131, I132) 
  f13#(I133, I134, I135, I136, I137, I138, I139) -> f7#(I133, I134, I135, I136, I137, I138, I139) 
  f12#(I140, I141, I142, I143, I144, I145, I146) -> f11#(I140, I141, I142, I143, I144, I145, I146) 
  f12#(I147, I148, I149, I150, I151, I152, I153) -> f8#(I147, I148, I149, I150, I151, I152, I153) 
  f12#(I154, I155, I156, I157, I158, I159, I160) -> f8#(I154, I155, I156, I157, I158, I159, I160) 
  f11#(I161, I162, I163, I164, I165, I166, I167) -> f9#(I161, I162, I163, I164, I165, I166, I167) 
  f11#(I168, I169, I170, I171, I172, I173, I174) -> f6#(I168, I169, I170, I171, I172, I173, 0) 
  f11#(I175, I176, I177, I178, I179, I180, I181) -> f9#(I175, I176, I177, I178, I179, I180, I181) 
  f9#(I189, I190, I191, I192, I193, I194, I195) -> f6#(I189, I190, I191, I192, I193, I194, 1) 
  f8#(I196, I197, I198, I199, I200, I201, I202) -> f6#(I196, I197, I198, I199, I200, I201, 1) 
  f7#(I203, I204, I205, I206, I207, I208, I209) -> f6#(I203, I204, I205, I206, I207, I208, 1) 
  f5#(I210, I211, I212, I213, I214, I215, I216) -> f6#(I210, I211, I212, I213, I214, I215, 1) 
  f3#(I217, I218, I219, I220, I221, I222, I223) -> f4#(I217, I218, I219, I220, I221, I222, I223) 
  f1#(I224, I225, I226, I227, I228, I229, I230) -> f2#(I224, I225, I226, I227, I228, I229, I230) 
R = 
  f22(x1, x2, x3, x4, x5, x6, x7) -> f21(x1, x2, x3, x4, x5, x6, x7) 
  f21(I0, I1, I2, I3, I4, I5, I6) -> f1(2, 0, I2, I3, rnd5, rnd6, I6) [rnd6 = rnd6 /\ rnd5 = rnd5]
  f2(I7, I8, I9, I10, I11, I12, I13) -> f3(I7, I8, 0, I10, I11, I12, I13) [1 + I8 <= I7]
  f2(I14, I15, I16, I17, I18, I19, I20) -> f14(I14, 0, I16, I17, I18, I19, I20) [I14 <= I15]
  f4(I21, I22, I23, I24, I25, I26, I27) -> f3(I21, I22, 1 + I23, I24, I25, I26, I27) [1 + I23 <= I21]
  f4(I28, I29, I30, I31, I32, I33, I34) -> f1(I28, 1 + I29, I30, I31, I32, I33, I34) [I28 <= I30]
  f19(I35, I36, I37, I38, I39, I40, I41) -> f17(I35, I36, I37, I38, I39, I40, I41) 
  f15(I42, I43, I44, I45, I46, I47, I48) -> f18(I42, I43, 0, I45, I46, I47, I48) [1 + I43 <= I42]
  f15(I49, I50, I51, I52, I53, I54, I55) -> f16(I49, I50, I51, I52, I53, I54, I55) [I49 <= I50]
  f20(I56, I57, I58, I59, I60, I61, I62) -> f19(I56, I57, I58, 0, I60, I61, I62) [1 + I58 <= I56]
  f20(I63, I64, I65, I66, I67, I68, I69) -> f14(I63, 1 + I64, I65, I66, I67, I68, I69) [I63 <= I65]
  f18(I70, I71, I72, I73, I74, I75, I76) -> f20(I70, I71, I72, I73, I74, I75, I76) 
  f17(I77, I78, I79, I80, I81, I82, I83) -> f19(I77, I78, I79, 1 + I80, I81, I82, I83) [1 + I80 <= I77]
  f17(I84, I85, I86, I87, I88, I89, I90) -> f18(I84, I85, 1 + I86, I87, I88, I89, I90) [I84 <= I87]
  f16(I91, I92, I93, I94, I95, I96, I97) -> f13(I91, I92, I93, I94, I95, I96, I97) 
  f16(I98, I99, I100, I101, I102, I103, I104) -> f5(I98, I99, I100, I101, I102, I103, I104) 
  f16(I105, I106, I107, I108, I109, I110, I111) -> f5(I105, I106, I107, I108, I109, I110, I111) 
  f14(I112, I113, I114, I115, I116, I117, I118) -> f15(I112, I113, I114, I115, I116, I117, I118) 
  f13(I119, I120, I121, I122, I123, I124, I125) -> f12(I119, I120, I121, I122, I123, I124, I125) 
  f13(I126, I127, I128, I129, I130, I131, I132) -> f7(I126, I127, I128, I129, I130, I131, I132) 
  f13(I133, I134, I135, I136, I137, I138, I139) -> f7(I133, I134, I135, I136, I137, I138, I139) 
  f12(I140, I141, I142, I143, I144, I145, I146) -> f11(I140, I141, I142, I143, I144, I145, I146) 
  f12(I147, I148, I149, I150, I151, I152, I153) -> f8(I147, I148, I149, I150, I151, I152, I153) 
  f12(I154, I155, I156, I157, I158, I159, I160) -> f8(I154, I155, I156, I157, I158, I159, I160) 
  f11(I161, I162, I163, I164, I165, I166, I167) -> f9(I161, I162, I163, I164, I165, I166, I167) 
  f11(I168, I169, I170, I171, I172, I173, I174) -> f6(I168, I169, I170, I171, I172, I173, 0) 
  f11(I175, I176, I177, I178, I179, I180, I181) -> f9(I175, I176, I177, I178, I179, I180, I181) 
  f6(I182, I183, I184, I185, I186, I187, I188) -> f10(I182, I183, I184, I185, I186, I187, I188) 
  f9(I189, I190, I191, I192, I193, I194, I195) -> f6(I189, I190, I191, I192, I193, I194, 1) 
  f8(I196, I197, I198, I199, I200, I201, I202) -> f6(I196, I197, I198, I199, I200, I201, 1) 
  f7(I203, I204, I205, I206, I207, I208, I209) -> f6(I203, I204, I205, I206, I207, I208, 1) 
  f5(I210, I211, I212, I213, I214, I215, I216) -> f6(I210, I211, I212, I213, I214, I215, 1) 
  f3(I217, I218, I219, I220, I221, I222, I223) -> f4(I217, I218, I219, I220, I221, I222, I223) 
  f1(I224, I225, I226, I227, I228, I229, I230) -> f2(I224, I225, I226, I227, I228, I229, I230) 

The dependency graph for this problem is:
  0 -> 1
  1 -> 32
  2 -> 31
  3 -> 17
  4 -> 31
  5 -> 32
  6 -> 12, 13
  7 -> 11
  8 -> 14, 15, 16
  9 -> 6
  10 -> 17
  11 -> 9, 10
  12 -> 6
  13 -> 11
  14 -> 18, 19, 20
  15 -> 30
  16 -> 30
  17 -> 7, 8
  18 -> 21, 22, 23
  19 -> 29
  20 -> 29
  21 -> 24, 25, 26
  22 -> 28
  23 -> 28
  24 -> 27
  25 -> 
  26 -> 27
  27 -> 
  28 -> 
  29 -> 
  30 -> 
  31 -> 4, 5
  32 -> 2, 3
Where:
  0) f22#(x1, x2, x3, x4, x5, x6, x7) -> f21#(x1, x2, x3, x4, x5, x6, x7) 
  1) f21#(I0, I1, I2, I3, I4, I5, I6) -> f1#(2, 0, I2, I3, rnd5, rnd6, I6) [rnd6 = rnd6 /\ rnd5 = rnd5]
  2) f2#(I7, I8, I9, I10, I11, I12, I13) -> f3#(I7, I8, 0, I10, I11, I12, I13) [1 + I8 <= I7]
  3) f2#(I14, I15, I16, I17, I18, I19, I20) -> f14#(I14, 0, I16, I17, I18, I19, I20) [I14 <= I15]
  4) f4#(I21, I22, I23, I24, I25, I26, I27) -> f3#(I21, I22, 1 + I23, I24, I25, I26, I27) [1 + I23 <= I21]
  5) f4#(I28, I29, I30, I31, I32, I33, I34) -> f1#(I28, 1 + I29, I30, I31, I32, I33, I34) [I28 <= I30]
  6) f19#(I35, I36, I37, I38, I39, I40, I41) -> f17#(I35, I36, I37, I38, I39, I40, I41) 
  7) f15#(I42, I43, I44, I45, I46, I47, I48) -> f18#(I42, I43, 0, I45, I46, I47, I48) [1 + I43 <= I42]
  8) f15#(I49, I50, I51, I52, I53, I54, I55) -> f16#(I49, I50, I51, I52, I53, I54, I55) [I49 <= I50]
  9) f20#(I56, I57, I58, I59, I60, I61, I62) -> f19#(I56, I57, I58, 0, I60, I61, I62) [1 + I58 <= I56]
  10) f20#(I63, I64, I65, I66, I67, I68, I69) -> f14#(I63, 1 + I64, I65, I66, I67, I68, I69) [I63 <= I65]
  11) f18#(I70, I71, I72, I73, I74, I75, I76) -> f20#(I70, I71, I72, I73, I74, I75, I76) 
  12) f17#(I77, I78, I79, I80, I81, I82, I83) -> f19#(I77, I78, I79, 1 + I80, I81, I82, I83) [1 + I80 <= I77]
  13) f17#(I84, I85, I86, I87, I88, I89, I90) -> f18#(I84, I85, 1 + I86, I87, I88, I89, I90) [I84 <= I87]
  14) f16#(I91, I92, I93, I94, I95, I96, I97) -> f13#(I91, I92, I93, I94, I95, I96, I97) 
  15) f16#(I98, I99, I100, I101, I102, I103, I104) -> f5#(I98, I99, I100, I101, I102, I103, I104) 
  16) f16#(I105, I106, I107, I108, I109, I110, I111) -> f5#(I105, I106, I107, I108, I109, I110, I111) 
  17) f14#(I112, I113, I114, I115, I116, I117, I118) -> f15#(I112, I113, I114, I115, I116, I117, I118) 
  18) f13#(I119, I120, I121, I122, I123, I124, I125) -> f12#(I119, I120, I121, I122, I123, I124, I125) 
  19) f13#(I126, I127, I128, I129, I130, I131, I132) -> f7#(I126, I127, I128, I129, I130, I131, I132) 
  20) f13#(I133, I134, I135, I136, I137, I138, I139) -> f7#(I133, I134, I135, I136, I137, I138, I139) 
  21) f12#(I140, I141, I142, I143, I144, I145, I146) -> f11#(I140, I141, I142, I143, I144, I145, I146) 
  22) f12#(I147, I148, I149, I150, I151, I152, I153) -> f8#(I147, I148, I149, I150, I151, I152, I153) 
  23) f12#(I154, I155, I156, I157, I158, I159, I160) -> f8#(I154, I155, I156, I157, I158, I159, I160) 
  24) f11#(I161, I162, I163, I164, I165, I166, I167) -> f9#(I161, I162, I163, I164, I165, I166, I167) 
  25) f11#(I168, I169, I170, I171, I172, I173, I174) -> f6#(I168, I169, I170, I171, I172, I173, 0) 
  26) f11#(I175, I176, I177, I178, I179, I180, I181) -> f9#(I175, I176, I177, I178, I179, I180, I181) 
  27) f9#(I189, I190, I191, I192, I193, I194, I195) -> f6#(I189, I190, I191, I192, I193, I194, 1) 
  28) f8#(I196, I197, I198, I199, I200, I201, I202) -> f6#(I196, I197, I198, I199, I200, I201, 1) 
  29) f7#(I203, I204, I205, I206, I207, I208, I209) -> f6#(I203, I204, I205, I206, I207, I208, 1) 
  30) f5#(I210, I211, I212, I213, I214, I215, I216) -> f6#(I210, I211, I212, I213, I214, I215, 1) 
  31) f3#(I217, I218, I219, I220, I221, I222, I223) -> f4#(I217, I218, I219, I220, I221, I222, I223) 
  32) f1#(I224, I225, I226, I227, I228, I229, I230) -> f2#(I224, I225, I226, I227, I228, I229, I230) 

We have the following SCCs.
  { 2, 4, 5, 31, 32 }
  { 6, 7, 9, 10, 11, 12, 13, 17 }

DP problem for innermost termination.
P =
  f19#(I35, I36, I37, I38, I39, I40, I41) -> f17#(I35, I36, I37, I38, I39, I40, I41) 
  f15#(I42, I43, I44, I45, I46, I47, I48) -> f18#(I42, I43, 0, I45, I46, I47, I48) [1 + I43 <= I42]
  f20#(I56, I57, I58, I59, I60, I61, I62) -> f19#(I56, I57, I58, 0, I60, I61, I62) [1 + I58 <= I56]
  f20#(I63, I64, I65, I66, I67, I68, I69) -> f14#(I63, 1 + I64, I65, I66, I67, I68, I69) [I63 <= I65]
  f18#(I70, I71, I72, I73, I74, I75, I76) -> f20#(I70, I71, I72, I73, I74, I75, I76) 
  f17#(I77, I78, I79, I80, I81, I82, I83) -> f19#(I77, I78, I79, 1 + I80, I81, I82, I83) [1 + I80 <= I77]
  f17#(I84, I85, I86, I87, I88, I89, I90) -> f18#(I84, I85, 1 + I86, I87, I88, I89, I90) [I84 <= I87]
  f14#(I112, I113, I114, I115, I116, I117, I118) -> f15#(I112, I113, I114, I115, I116, I117, I118) 
R = 
  f22(x1, x2, x3, x4, x5, x6, x7) -> f21(x1, x2, x3, x4, x5, x6, x7) 
  f21(I0, I1, I2, I3, I4, I5, I6) -> f1(2, 0, I2, I3, rnd5, rnd6, I6) [rnd6 = rnd6 /\ rnd5 = rnd5]
  f2(I7, I8, I9, I10, I11, I12, I13) -> f3(I7, I8, 0, I10, I11, I12, I13) [1 + I8 <= I7]
  f2(I14, I15, I16, I17, I18, I19, I20) -> f14(I14, 0, I16, I17, I18, I19, I20) [I14 <= I15]
  f4(I21, I22, I23, I24, I25, I26, I27) -> f3(I21, I22, 1 + I23, I24, I25, I26, I27) [1 + I23 <= I21]
  f4(I28, I29, I30, I31, I32, I33, I34) -> f1(I28, 1 + I29, I30, I31, I32, I33, I34) [I28 <= I30]
  f19(I35, I36, I37, I38, I39, I40, I41) -> f17(I35, I36, I37, I38, I39, I40, I41) 
  f15(I42, I43, I44, I45, I46, I47, I48) -> f18(I42, I43, 0, I45, I46, I47, I48) [1 + I43 <= I42]
  f15(I49, I50, I51, I52, I53, I54, I55) -> f16(I49, I50, I51, I52, I53, I54, I55) [I49 <= I50]
  f20(I56, I57, I58, I59, I60, I61, I62) -> f19(I56, I57, I58, 0, I60, I61, I62) [1 + I58 <= I56]
  f20(I63, I64, I65, I66, I67, I68, I69) -> f14(I63, 1 + I64, I65, I66, I67, I68, I69) [I63 <= I65]
  f18(I70, I71, I72, I73, I74, I75, I76) -> f20(I70, I71, I72, I73, I74, I75, I76) 
  f17(I77, I78, I79, I80, I81, I82, I83) -> f19(I77, I78, I79, 1 + I80, I81, I82, I83) [1 + I80 <= I77]
  f17(I84, I85, I86, I87, I88, I89, I90) -> f18(I84, I85, 1 + I86, I87, I88, I89, I90) [I84 <= I87]
  f16(I91, I92, I93, I94, I95, I96, I97) -> f13(I91, I92, I93, I94, I95, I96, I97) 
  f16(I98, I99, I100, I101, I102, I103, I104) -> f5(I98, I99, I100, I101, I102, I103, I104) 
  f16(I105, I106, I107, I108, I109, I110, I111) -> f5(I105, I106, I107, I108, I109, I110, I111) 
  f14(I112, I113, I114, I115, I116, I117, I118) -> f15(I112, I113, I114, I115, I116, I117, I118) 
  f13(I119, I120, I121, I122, I123, I124, I125) -> f12(I119, I120, I121, I122, I123, I124, I125) 
  f13(I126, I127, I128, I129, I130, I131, I132) -> f7(I126, I127, I128, I129, I130, I131, I132) 
  f13(I133, I134, I135, I136, I137, I138, I139) -> f7(I133, I134, I135, I136, I137, I138, I139) 
  f12(I140, I141, I142, I143, I144, I145, I146) -> f11(I140, I141, I142, I143, I144, I145, I146) 
  f12(I147, I148, I149, I150, I151, I152, I153) -> f8(I147, I148, I149, I150, I151, I152, I153) 
  f12(I154, I155, I156, I157, I158, I159, I160) -> f8(I154, I155, I156, I157, I158, I159, I160) 
  f11(I161, I162, I163, I164, I165, I166, I167) -> f9(I161, I162, I163, I164, I165, I166, I167) 
  f11(I168, I169, I170, I171, I172, I173, I174) -> f6(I168, I169, I170, I171, I172, I173, 0) 
  f11(I175, I176, I177, I178, I179, I180, I181) -> f9(I175, I176, I177, I178, I179, I180, I181) 
  f6(I182, I183, I184, I185, I186, I187, I188) -> f10(I182, I183, I184, I185, I186, I187, I188) 
  f9(I189, I190, I191, I192, I193, I194, I195) -> f6(I189, I190, I191, I192, I193, I194, 1) 
  f8(I196, I197, I198, I199, I200, I201, I202) -> f6(I196, I197, I198, I199, I200, I201, 1) 
  f7(I203, I204, I205, I206, I207, I208, I209) -> f6(I203, I204, I205, I206, I207, I208, 1) 
  f5(I210, I211, I212, I213, I214, I215, I216) -> f6(I210, I211, I212, I213, I214, I215, 1) 
  f3(I217, I218, I219, I220, I221, I222, I223) -> f4(I217, I218, I219, I220, I221, I222, I223) 
  f1(I224, I225, I226, I227, I228, I229, I230) -> f2(I224, I225, I226, I227, I228, I229, I230) 

We use the extended value criterion with the projection function NU:
  NU[f14#(x0,x1,x2,x3,x4,x5,x6)] = x0 - x1 - 1
  NU[f20#(x0,x1,x2,x3,x4,x5,x6)] = x0 - x1 - 2
  NU[f18#(x0,x1,x2,x3,x4,x5,x6)] = x0 - x1 - 2
  NU[f15#(x0,x1,x2,x3,x4,x5,x6)] = x0 - x1 - 1
  NU[f17#(x0,x1,x2,x3,x4,x5,x6)] = x0 - x1 - 2
  NU[f19#(x0,x1,x2,x3,x4,x5,x6)] = x0 - x1 - 2

This gives the following inequalities:
    ==>  I35 - I36 - 2 >= I35 - I36 - 2
  1 + I43 <= I42  ==>  I42 - I43 - 1 > I42 - I43 - 2  with  I42 - I43 - 1 >= 0
  1 + I58 <= I56  ==>  I56 - I57 - 2 >= I56 - I57 - 2
  I63 <= I65  ==>  I63 - I64 - 2 >= I63 - (1 + I64) - 1
    ==>  I70 - I71 - 2 >= I70 - I71 - 2
  1 + I80 <= I77  ==>  I77 - I78 - 2 >= I77 - I78 - 2
  I84 <= I87  ==>  I84 - I85 - 2 >= I84 - I85 - 2
    ==>  I112 - I113 - 1 >= I112 - I113 - 1

We remove all the strictly oriented dependency pairs.

DP problem for innermost termination.
P =
  f19#(I35, I36, I37, I38, I39, I40, I41) -> f17#(I35, I36, I37, I38, I39, I40, I41) 
  f20#(I56, I57, I58, I59, I60, I61, I62) -> f19#(I56, I57, I58, 0, I60, I61, I62) [1 + I58 <= I56]
  f20#(I63, I64, I65, I66, I67, I68, I69) -> f14#(I63, 1 + I64, I65, I66, I67, I68, I69) [I63 <= I65]
  f18#(I70, I71, I72, I73, I74, I75, I76) -> f20#(I70, I71, I72, I73, I74, I75, I76) 
  f17#(I77, I78, I79, I80, I81, I82, I83) -> f19#(I77, I78, I79, 1 + I80, I81, I82, I83) [1 + I80 <= I77]
  f17#(I84, I85, I86, I87, I88, I89, I90) -> f18#(I84, I85, 1 + I86, I87, I88, I89, I90) [I84 <= I87]
  f14#(I112, I113, I114, I115, I116, I117, I118) -> f15#(I112, I113, I114, I115, I116, I117, I118) 
R = 
  f22(x1, x2, x3, x4, x5, x6, x7) -> f21(x1, x2, x3, x4, x5, x6, x7) 
  f21(I0, I1, I2, I3, I4, I5, I6) -> f1(2, 0, I2, I3, rnd5, rnd6, I6) [rnd6 = rnd6 /\ rnd5 = rnd5]
  f2(I7, I8, I9, I10, I11, I12, I13) -> f3(I7, I8, 0, I10, I11, I12, I13) [1 + I8 <= I7]
  f2(I14, I15, I16, I17, I18, I19, I20) -> f14(I14, 0, I16, I17, I18, I19, I20) [I14 <= I15]
  f4(I21, I22, I23, I24, I25, I26, I27) -> f3(I21, I22, 1 + I23, I24, I25, I26, I27) [1 + I23 <= I21]
  f4(I28, I29, I30, I31, I32, I33, I34) -> f1(I28, 1 + I29, I30, I31, I32, I33, I34) [I28 <= I30]
  f19(I35, I36, I37, I38, I39, I40, I41) -> f17(I35, I36, I37, I38, I39, I40, I41) 
  f15(I42, I43, I44, I45, I46, I47, I48) -> f18(I42, I43, 0, I45, I46, I47, I48) [1 + I43 <= I42]
  f15(I49, I50, I51, I52, I53, I54, I55) -> f16(I49, I50, I51, I52, I53, I54, I55) [I49 <= I50]
  f20(I56, I57, I58, I59, I60, I61, I62) -> f19(I56, I57, I58, 0, I60, I61, I62) [1 + I58 <= I56]
  f20(I63, I64, I65, I66, I67, I68, I69) -> f14(I63, 1 + I64, I65, I66, I67, I68, I69) [I63 <= I65]
  f18(I70, I71, I72, I73, I74, I75, I76) -> f20(I70, I71, I72, I73, I74, I75, I76) 
  f17(I77, I78, I79, I80, I81, I82, I83) -> f19(I77, I78, I79, 1 + I80, I81, I82, I83) [1 + I80 <= I77]
  f17(I84, I85, I86, I87, I88, I89, I90) -> f18(I84, I85, 1 + I86, I87, I88, I89, I90) [I84 <= I87]
  f16(I91, I92, I93, I94, I95, I96, I97) -> f13(I91, I92, I93, I94, I95, I96, I97) 
  f16(I98, I99, I100, I101, I102, I103, I104) -> f5(I98, I99, I100, I101, I102, I103, I104) 
  f16(I105, I106, I107, I108, I109, I110, I111) -> f5(I105, I106, I107, I108, I109, I110, I111) 
  f14(I112, I113, I114, I115, I116, I117, I118) -> f15(I112, I113, I114, I115, I116, I117, I118) 
  f13(I119, I120, I121, I122, I123, I124, I125) -> f12(I119, I120, I121, I122, I123, I124, I125) 
  f13(I126, I127, I128, I129, I130, I131, I132) -> f7(I126, I127, I128, I129, I130, I131, I132) 
  f13(I133, I134, I135, I136, I137, I138, I139) -> f7(I133, I134, I135, I136, I137, I138, I139) 
  f12(I140, I141, I142, I143, I144, I145, I146) -> f11(I140, I141, I142, I143, I144, I145, I146) 
  f12(I147, I148, I149, I150, I151, I152, I153) -> f8(I147, I148, I149, I150, I151, I152, I153) 
  f12(I154, I155, I156, I157, I158, I159, I160) -> f8(I154, I155, I156, I157, I158, I159, I160) 
  f11(I161, I162, I163, I164, I165, I166, I167) -> f9(I161, I162, I163, I164, I165, I166, I167) 
  f11(I168, I169, I170, I171, I172, I173, I174) -> f6(I168, I169, I170, I171, I172, I173, 0) 
  f11(I175, I176, I177, I178, I179, I180, I181) -> f9(I175, I176, I177, I178, I179, I180, I181) 
  f6(I182, I183, I184, I185, I186, I187, I188) -> f10(I182, I183, I184, I185, I186, I187, I188) 
  f9(I189, I190, I191, I192, I193, I194, I195) -> f6(I189, I190, I191, I192, I193, I194, 1) 
  f8(I196, I197, I198, I199, I200, I201, I202) -> f6(I196, I197, I198, I199, I200, I201, 1) 
  f7(I203, I204, I205, I206, I207, I208, I209) -> f6(I203, I204, I205, I206, I207, I208, 1) 
  f5(I210, I211, I212, I213, I214, I215, I216) -> f6(I210, I211, I212, I213, I214, I215, 1) 
  f3(I217, I218, I219, I220, I221, I222, I223) -> f4(I217, I218, I219, I220, I221, I222, I223) 
  f1(I224, I225, I226, I227, I228, I229, I230) -> f2(I224, I225, I226, I227, I228, I229, I230) 

The dependency graph for this problem is:
  6 -> 12, 13
  9 -> 6
  10 -> 17
  11 -> 9, 10
  12 -> 6
  13 -> 11
  17 -> 
Where:
  6) f19#(I35, I36, I37, I38, I39, I40, I41) -> f17#(I35, I36, I37, I38, I39, I40, I41) 
  9) f20#(I56, I57, I58, I59, I60, I61, I62) -> f19#(I56, I57, I58, 0, I60, I61, I62) [1 + I58 <= I56]
  10) f20#(I63, I64, I65, I66, I67, I68, I69) -> f14#(I63, 1 + I64, I65, I66, I67, I68, I69) [I63 <= I65]
  11) f18#(I70, I71, I72, I73, I74, I75, I76) -> f20#(I70, I71, I72, I73, I74, I75, I76) 
  12) f17#(I77, I78, I79, I80, I81, I82, I83) -> f19#(I77, I78, I79, 1 + I80, I81, I82, I83) [1 + I80 <= I77]
  13) f17#(I84, I85, I86, I87, I88, I89, I90) -> f18#(I84, I85, 1 + I86, I87, I88, I89, I90) [I84 <= I87]
  17) f14#(I112, I113, I114, I115, I116, I117, I118) -> f15#(I112, I113, I114, I115, I116, I117, I118) 

We have the following SCCs.
  { 6, 9, 11, 12, 13 }

DP problem for innermost termination.
P =
  f19#(I35, I36, I37, I38, I39, I40, I41) -> f17#(I35, I36, I37, I38, I39, I40, I41) 
  f20#(I56, I57, I58, I59, I60, I61, I62) -> f19#(I56, I57, I58, 0, I60, I61, I62) [1 + I58 <= I56]
  f18#(I70, I71, I72, I73, I74, I75, I76) -> f20#(I70, I71, I72, I73, I74, I75, I76) 
  f17#(I77, I78, I79, I80, I81, I82, I83) -> f19#(I77, I78, I79, 1 + I80, I81, I82, I83) [1 + I80 <= I77]
  f17#(I84, I85, I86, I87, I88, I89, I90) -> f18#(I84, I85, 1 + I86, I87, I88, I89, I90) [I84 <= I87]
R = 
  f22(x1, x2, x3, x4, x5, x6, x7) -> f21(x1, x2, x3, x4, x5, x6, x7) 
  f21(I0, I1, I2, I3, I4, I5, I6) -> f1(2, 0, I2, I3, rnd5, rnd6, I6) [rnd6 = rnd6 /\ rnd5 = rnd5]
  f2(I7, I8, I9, I10, I11, I12, I13) -> f3(I7, I8, 0, I10, I11, I12, I13) [1 + I8 <= I7]
  f2(I14, I15, I16, I17, I18, I19, I20) -> f14(I14, 0, I16, I17, I18, I19, I20) [I14 <= I15]
  f4(I21, I22, I23, I24, I25, I26, I27) -> f3(I21, I22, 1 + I23, I24, I25, I26, I27) [1 + I23 <= I21]
  f4(I28, I29, I30, I31, I32, I33, I34) -> f1(I28, 1 + I29, I30, I31, I32, I33, I34) [I28 <= I30]
  f19(I35, I36, I37, I38, I39, I40, I41) -> f17(I35, I36, I37, I38, I39, I40, I41) 
  f15(I42, I43, I44, I45, I46, I47, I48) -> f18(I42, I43, 0, I45, I46, I47, I48) [1 + I43 <= I42]
  f15(I49, I50, I51, I52, I53, I54, I55) -> f16(I49, I50, I51, I52, I53, I54, I55) [I49 <= I50]
  f20(I56, I57, I58, I59, I60, I61, I62) -> f19(I56, I57, I58, 0, I60, I61, I62) [1 + I58 <= I56]
  f20(I63, I64, I65, I66, I67, I68, I69) -> f14(I63, 1 + I64, I65, I66, I67, I68, I69) [I63 <= I65]
  f18(I70, I71, I72, I73, I74, I75, I76) -> f20(I70, I71, I72, I73, I74, I75, I76) 
  f17(I77, I78, I79, I80, I81, I82, I83) -> f19(I77, I78, I79, 1 + I80, I81, I82, I83) [1 + I80 <= I77]
  f17(I84, I85, I86, I87, I88, I89, I90) -> f18(I84, I85, 1 + I86, I87, I88, I89, I90) [I84 <= I87]
  f16(I91, I92, I93, I94, I95, I96, I97) -> f13(I91, I92, I93, I94, I95, I96, I97) 
  f16(I98, I99, I100, I101, I102, I103, I104) -> f5(I98, I99, I100, I101, I102, I103, I104) 
  f16(I105, I106, I107, I108, I109, I110, I111) -> f5(I105, I106, I107, I108, I109, I110, I111) 
  f14(I112, I113, I114, I115, I116, I117, I118) -> f15(I112, I113, I114, I115, I116, I117, I118) 
  f13(I119, I120, I121, I122, I123, I124, I125) -> f12(I119, I120, I121, I122, I123, I124, I125) 
  f13(I126, I127, I128, I129, I130, I131, I132) -> f7(I126, I127, I128, I129, I130, I131, I132) 
  f13(I133, I134, I135, I136, I137, I138, I139) -> f7(I133, I134, I135, I136, I137, I138, I139) 
  f12(I140, I141, I142, I143, I144, I145, I146) -> f11(I140, I141, I142, I143, I144, I145, I146) 
  f12(I147, I148, I149, I150, I151, I152, I153) -> f8(I147, I148, I149, I150, I151, I152, I153) 
  f12(I154, I155, I156, I157, I158, I159, I160) -> f8(I154, I155, I156, I157, I158, I159, I160) 
  f11(I161, I162, I163, I164, I165, I166, I167) -> f9(I161, I162, I163, I164, I165, I166, I167) 
  f11(I168, I169, I170, I171, I172, I173, I174) -> f6(I168, I169, I170, I171, I172, I173, 0) 
  f11(I175, I176, I177, I178, I179, I180, I181) -> f9(I175, I176, I177, I178, I179, I180, I181) 
  f6(I182, I183, I184, I185, I186, I187, I188) -> f10(I182, I183, I184, I185, I186, I187, I188) 
  f9(I189, I190, I191, I192, I193, I194, I195) -> f6(I189, I190, I191, I192, I193, I194, 1) 
  f8(I196, I197, I198, I199, I200, I201, I202) -> f6(I196, I197, I198, I199, I200, I201, 1) 
  f7(I203, I204, I205, I206, I207, I208, I209) -> f6(I203, I204, I205, I206, I207, I208, 1) 
  f5(I210, I211, I212, I213, I214, I215, I216) -> f6(I210, I211, I212, I213, I214, I215, 1) 
  f3(I217, I218, I219, I220, I221, I222, I223) -> f4(I217, I218, I219, I220, I221, I222, I223) 
  f1(I224, I225, I226, I227, I228, I229, I230) -> f2(I224, I225, I226, I227, I228, I229, I230) 

We use the extended value criterion with the projection function NU:
  NU[f18#(x0,x1,x2,x3,x4,x5,x6)] = x0 - x2 - 1
  NU[f20#(x0,x1,x2,x3,x4,x5,x6)] = x0 - x2 - 1
  NU[f17#(x0,x1,x2,x3,x4,x5,x6)] = x0 - x2 - 2
  NU[f19#(x0,x1,x2,x3,x4,x5,x6)] = x0 - x2 - 2

This gives the following inequalities:
    ==>  I35 - I37 - 2 >= I35 - I37 - 2
  1 + I58 <= I56  ==>  I56 - I58 - 1 > I56 - I58 - 2  with  I56 - I58 - 1 >= 0
    ==>  I70 - I72 - 1 >= I70 - I72 - 1
  1 + I80 <= I77  ==>  I77 - I79 - 2 >= I77 - I79 - 2
  I84 <= I87  ==>  I84 - I86 - 2 >= I84 - (1 + I86) - 1

We remove all the strictly oriented dependency pairs.

DP problem for innermost termination.
P =
  f19#(I35, I36, I37, I38, I39, I40, I41) -> f17#(I35, I36, I37, I38, I39, I40, I41) 
  f18#(I70, I71, I72, I73, I74, I75, I76) -> f20#(I70, I71, I72, I73, I74, I75, I76) 
  f17#(I77, I78, I79, I80, I81, I82, I83) -> f19#(I77, I78, I79, 1 + I80, I81, I82, I83) [1 + I80 <= I77]
  f17#(I84, I85, I86, I87, I88, I89, I90) -> f18#(I84, I85, 1 + I86, I87, I88, I89, I90) [I84 <= I87]
R = 
  f22(x1, x2, x3, x4, x5, x6, x7) -> f21(x1, x2, x3, x4, x5, x6, x7) 
  f21(I0, I1, I2, I3, I4, I5, I6) -> f1(2, 0, I2, I3, rnd5, rnd6, I6) [rnd6 = rnd6 /\ rnd5 = rnd5]
  f2(I7, I8, I9, I10, I11, I12, I13) -> f3(I7, I8, 0, I10, I11, I12, I13) [1 + I8 <= I7]
  f2(I14, I15, I16, I17, I18, I19, I20) -> f14(I14, 0, I16, I17, I18, I19, I20) [I14 <= I15]
  f4(I21, I22, I23, I24, I25, I26, I27) -> f3(I21, I22, 1 + I23, I24, I25, I26, I27) [1 + I23 <= I21]
  f4(I28, I29, I30, I31, I32, I33, I34) -> f1(I28, 1 + I29, I30, I31, I32, I33, I34) [I28 <= I30]
  f19(I35, I36, I37, I38, I39, I40, I41) -> f17(I35, I36, I37, I38, I39, I40, I41) 
  f15(I42, I43, I44, I45, I46, I47, I48) -> f18(I42, I43, 0, I45, I46, I47, I48) [1 + I43 <= I42]
  f15(I49, I50, I51, I52, I53, I54, I55) -> f16(I49, I50, I51, I52, I53, I54, I55) [I49 <= I50]
  f20(I56, I57, I58, I59, I60, I61, I62) -> f19(I56, I57, I58, 0, I60, I61, I62) [1 + I58 <= I56]
  f20(I63, I64, I65, I66, I67, I68, I69) -> f14(I63, 1 + I64, I65, I66, I67, I68, I69) [I63 <= I65]
  f18(I70, I71, I72, I73, I74, I75, I76) -> f20(I70, I71, I72, I73, I74, I75, I76) 
  f17(I77, I78, I79, I80, I81, I82, I83) -> f19(I77, I78, I79, 1 + I80, I81, I82, I83) [1 + I80 <= I77]
  f17(I84, I85, I86, I87, I88, I89, I90) -> f18(I84, I85, 1 + I86, I87, I88, I89, I90) [I84 <= I87]
  f16(I91, I92, I93, I94, I95, I96, I97) -> f13(I91, I92, I93, I94, I95, I96, I97) 
  f16(I98, I99, I100, I101, I102, I103, I104) -> f5(I98, I99, I100, I101, I102, I103, I104) 
  f16(I105, I106, I107, I108, I109, I110, I111) -> f5(I105, I106, I107, I108, I109, I110, I111) 
  f14(I112, I113, I114, I115, I116, I117, I118) -> f15(I112, I113, I114, I115, I116, I117, I118) 
  f13(I119, I120, I121, I122, I123, I124, I125) -> f12(I119, I120, I121, I122, I123, I124, I125) 
  f13(I126, I127, I128, I129, I130, I131, I132) -> f7(I126, I127, I128, I129, I130, I131, I132) 
  f13(I133, I134, I135, I136, I137, I138, I139) -> f7(I133, I134, I135, I136, I137, I138, I139) 
  f12(I140, I141, I142, I143, I144, I145, I146) -> f11(I140, I141, I142, I143, I144, I145, I146) 
  f12(I147, I148, I149, I150, I151, I152, I153) -> f8(I147, I148, I149, I150, I151, I152, I153) 
  f12(I154, I155, I156, I157, I158, I159, I160) -> f8(I154, I155, I156, I157, I158, I159, I160) 
  f11(I161, I162, I163, I164, I165, I166, I167) -> f9(I161, I162, I163, I164, I165, I166, I167) 
  f11(I168, I169, I170, I171, I172, I173, I174) -> f6(I168, I169, I170, I171, I172, I173, 0) 
  f11(I175, I176, I177, I178, I179, I180, I181) -> f9(I175, I176, I177, I178, I179, I180, I181) 
  f6(I182, I183, I184, I185, I186, I187, I188) -> f10(I182, I183, I184, I185, I186, I187, I188) 
  f9(I189, I190, I191, I192, I193, I194, I195) -> f6(I189, I190, I191, I192, I193, I194, 1) 
  f8(I196, I197, I198, I199, I200, I201, I202) -> f6(I196, I197, I198, I199, I200, I201, 1) 
  f7(I203, I204, I205, I206, I207, I208, I209) -> f6(I203, I204, I205, I206, I207, I208, 1) 
  f5(I210, I211, I212, I213, I214, I215, I216) -> f6(I210, I211, I212, I213, I214, I215, 1) 
  f3(I217, I218, I219, I220, I221, I222, I223) -> f4(I217, I218, I219, I220, I221, I222, I223) 
  f1(I224, I225, I226, I227, I228, I229, I230) -> f2(I224, I225, I226, I227, I228, I229, I230) 

The dependency graph for this problem is:
  6 -> 12, 13
  11 -> 
  12 -> 6
  13 -> 11
Where:
  6) f19#(I35, I36, I37, I38, I39, I40, I41) -> f17#(I35, I36, I37, I38, I39, I40, I41) 
  11) f18#(I70, I71, I72, I73, I74, I75, I76) -> f20#(I70, I71, I72, I73, I74, I75, I76) 
  12) f17#(I77, I78, I79, I80, I81, I82, I83) -> f19#(I77, I78, I79, 1 + I80, I81, I82, I83) [1 + I80 <= I77]
  13) f17#(I84, I85, I86, I87, I88, I89, I90) -> f18#(I84, I85, 1 + I86, I87, I88, I89, I90) [I84 <= I87]

We have the following SCCs.
  { 6, 12 }

DP problem for innermost termination.
P =
  f19#(I35, I36, I37, I38, I39, I40, I41) -> f17#(I35, I36, I37, I38, I39, I40, I41) 
  f17#(I77, I78, I79, I80, I81, I82, I83) -> f19#(I77, I78, I79, 1 + I80, I81, I82, I83) [1 + I80 <= I77]
R = 
  f22(x1, x2, x3, x4, x5, x6, x7) -> f21(x1, x2, x3, x4, x5, x6, x7) 
  f21(I0, I1, I2, I3, I4, I5, I6) -> f1(2, 0, I2, I3, rnd5, rnd6, I6) [rnd6 = rnd6 /\ rnd5 = rnd5]
  f2(I7, I8, I9, I10, I11, I12, I13) -> f3(I7, I8, 0, I10, I11, I12, I13) [1 + I8 <= I7]
  f2(I14, I15, I16, I17, I18, I19, I20) -> f14(I14, 0, I16, I17, I18, I19, I20) [I14 <= I15]
  f4(I21, I22, I23, I24, I25, I26, I27) -> f3(I21, I22, 1 + I23, I24, I25, I26, I27) [1 + I23 <= I21]
  f4(I28, I29, I30, I31, I32, I33, I34) -> f1(I28, 1 + I29, I30, I31, I32, I33, I34) [I28 <= I30]
  f19(I35, I36, I37, I38, I39, I40, I41) -> f17(I35, I36, I37, I38, I39, I40, I41) 
  f15(I42, I43, I44, I45, I46, I47, I48) -> f18(I42, I43, 0, I45, I46, I47, I48) [1 + I43 <= I42]
  f15(I49, I50, I51, I52, I53, I54, I55) -> f16(I49, I50, I51, I52, I53, I54, I55) [I49 <= I50]
  f20(I56, I57, I58, I59, I60, I61, I62) -> f19(I56, I57, I58, 0, I60, I61, I62) [1 + I58 <= I56]
  f20(I63, I64, I65, I66, I67, I68, I69) -> f14(I63, 1 + I64, I65, I66, I67, I68, I69) [I63 <= I65]
  f18(I70, I71, I72, I73, I74, I75, I76) -> f20(I70, I71, I72, I73, I74, I75, I76) 
  f17(I77, I78, I79, I80, I81, I82, I83) -> f19(I77, I78, I79, 1 + I80, I81, I82, I83) [1 + I80 <= I77]
  f17(I84, I85, I86, I87, I88, I89, I90) -> f18(I84, I85, 1 + I86, I87, I88, I89, I90) [I84 <= I87]
  f16(I91, I92, I93, I94, I95, I96, I97) -> f13(I91, I92, I93, I94, I95, I96, I97) 
  f16(I98, I99, I100, I101, I102, I103, I104) -> f5(I98, I99, I100, I101, I102, I103, I104) 
  f16(I105, I106, I107, I108, I109, I110, I111) -> f5(I105, I106, I107, I108, I109, I110, I111) 
  f14(I112, I113, I114, I115, I116, I117, I118) -> f15(I112, I113, I114, I115, I116, I117, I118) 
  f13(I119, I120, I121, I122, I123, I124, I125) -> f12(I119, I120, I121, I122, I123, I124, I125) 
  f13(I126, I127, I128, I129, I130, I131, I132) -> f7(I126, I127, I128, I129, I130, I131, I132) 
  f13(I133, I134, I135, I136, I137, I138, I139) -> f7(I133, I134, I135, I136, I137, I138, I139) 
  f12(I140, I141, I142, I143, I144, I145, I146) -> f11(I140, I141, I142, I143, I144, I145, I146) 
  f12(I147, I148, I149, I150, I151, I152, I153) -> f8(I147, I148, I149, I150, I151, I152, I153) 
  f12(I154, I155, I156, I157, I158, I159, I160) -> f8(I154, I155, I156, I157, I158, I159, I160) 
  f11(I161, I162, I163, I164, I165, I166, I167) -> f9(I161, I162, I163, I164, I165, I166, I167) 
  f11(I168, I169, I170, I171, I172, I173, I174) -> f6(I168, I169, I170, I171, I172, I173, 0) 
  f11(I175, I176, I177, I178, I179, I180, I181) -> f9(I175, I176, I177, I178, I179, I180, I181) 
  f6(I182, I183, I184, I185, I186, I187, I188) -> f10(I182, I183, I184, I185, I186, I187, I188) 
  f9(I189, I190, I191, I192, I193, I194, I195) -> f6(I189, I190, I191, I192, I193, I194, 1) 
  f8(I196, I197, I198, I199, I200, I201, I202) -> f6(I196, I197, I198, I199, I200, I201, 1) 
  f7(I203, I204, I205, I206, I207, I208, I209) -> f6(I203, I204, I205, I206, I207, I208, 1) 
  f5(I210, I211, I212, I213, I214, I215, I216) -> f6(I210, I211, I212, I213, I214, I215, 1) 
  f3(I217, I218, I219, I220, I221, I222, I223) -> f4(I217, I218, I219, I220, I221, I222, I223) 
  f1(I224, I225, I226, I227, I228, I229, I230) -> f2(I224, I225, I226, I227, I228, I229, I230) 

We use the reverse value criterion with the projection function NU:
  NU[f17#(z1,z2,z3,z4,z5,z6,z7)] = z1 + -1 * (1 + z4)
  NU[f19#(z1,z2,z3,z4,z5,z6,z7)] = z1 + -1 * (1 + z4)

This gives the following inequalities:
    ==>  I35 + -1 * (1 + I38) >= I35 + -1 * (1 + I38)
  1 + I80 <= I77  ==>  I77 + -1 * (1 + I80) > I77 + -1 * (1 + (1 + I80))  with  I77 + -1 * (1 + I80) >= 0

We remove all the strictly oriented dependency pairs.

DP problem for innermost termination.
P =
  f19#(I35, I36, I37, I38, I39, I40, I41) -> f17#(I35, I36, I37, I38, I39, I40, I41) 
R = 
  f22(x1, x2, x3, x4, x5, x6, x7) -> f21(x1, x2, x3, x4, x5, x6, x7) 
  f21(I0, I1, I2, I3, I4, I5, I6) -> f1(2, 0, I2, I3, rnd5, rnd6, I6) [rnd6 = rnd6 /\ rnd5 = rnd5]
  f2(I7, I8, I9, I10, I11, I12, I13) -> f3(I7, I8, 0, I10, I11, I12, I13) [1 + I8 <= I7]
  f2(I14, I15, I16, I17, I18, I19, I20) -> f14(I14, 0, I16, I17, I18, I19, I20) [I14 <= I15]
  f4(I21, I22, I23, I24, I25, I26, I27) -> f3(I21, I22, 1 + I23, I24, I25, I26, I27) [1 + I23 <= I21]
  f4(I28, I29, I30, I31, I32, I33, I34) -> f1(I28, 1 + I29, I30, I31, I32, I33, I34) [I28 <= I30]
  f19(I35, I36, I37, I38, I39, I40, I41) -> f17(I35, I36, I37, I38, I39, I40, I41) 
  f15(I42, I43, I44, I45, I46, I47, I48) -> f18(I42, I43, 0, I45, I46, I47, I48) [1 + I43 <= I42]
  f15(I49, I50, I51, I52, I53, I54, I55) -> f16(I49, I50, I51, I52, I53, I54, I55) [I49 <= I50]
  f20(I56, I57, I58, I59, I60, I61, I62) -> f19(I56, I57, I58, 0, I60, I61, I62) [1 + I58 <= I56]
  f20(I63, I64, I65, I66, I67, I68, I69) -> f14(I63, 1 + I64, I65, I66, I67, I68, I69) [I63 <= I65]
  f18(I70, I71, I72, I73, I74, I75, I76) -> f20(I70, I71, I72, I73, I74, I75, I76) 
  f17(I77, I78, I79, I80, I81, I82, I83) -> f19(I77, I78, I79, 1 + I80, I81, I82, I83) [1 + I80 <= I77]
  f17(I84, I85, I86, I87, I88, I89, I90) -> f18(I84, I85, 1 + I86, I87, I88, I89, I90) [I84 <= I87]
  f16(I91, I92, I93, I94, I95, I96, I97) -> f13(I91, I92, I93, I94, I95, I96, I97) 
  f16(I98, I99, I100, I101, I102, I103, I104) -> f5(I98, I99, I100, I101, I102, I103, I104) 
  f16(I105, I106, I107, I108, I109, I110, I111) -> f5(I105, I106, I107, I108, I109, I110, I111) 
  f14(I112, I113, I114, I115, I116, I117, I118) -> f15(I112, I113, I114, I115, I116, I117, I118) 
  f13(I119, I120, I121, I122, I123, I124, I125) -> f12(I119, I120, I121, I122, I123, I124, I125) 
  f13(I126, I127, I128, I129, I130, I131, I132) -> f7(I126, I127, I128, I129, I130, I131, I132) 
  f13(I133, I134, I135, I136, I137, I138, I139) -> f7(I133, I134, I135, I136, I137, I138, I139) 
  f12(I140, I141, I142, I143, I144, I145, I146) -> f11(I140, I141, I142, I143, I144, I145, I146) 
  f12(I147, I148, I149, I150, I151, I152, I153) -> f8(I147, I148, I149, I150, I151, I152, I153) 
  f12(I154, I155, I156, I157, I158, I159, I160) -> f8(I154, I155, I156, I157, I158, I159, I160) 
  f11(I161, I162, I163, I164, I165, I166, I167) -> f9(I161, I162, I163, I164, I165, I166, I167) 
  f11(I168, I169, I170, I171, I172, I173, I174) -> f6(I168, I169, I170, I171, I172, I173, 0) 
  f11(I175, I176, I177, I178, I179, I180, I181) -> f9(I175, I176, I177, I178, I179, I180, I181) 
  f6(I182, I183, I184, I185, I186, I187, I188) -> f10(I182, I183, I184, I185, I186, I187, I188) 
  f9(I189, I190, I191, I192, I193, I194, I195) -> f6(I189, I190, I191, I192, I193, I194, 1) 
  f8(I196, I197, I198, I199, I200, I201, I202) -> f6(I196, I197, I198, I199, I200, I201, 1) 
  f7(I203, I204, I205, I206, I207, I208, I209) -> f6(I203, I204, I205, I206, I207, I208, 1) 
  f5(I210, I211, I212, I213, I214, I215, I216) -> f6(I210, I211, I212, I213, I214, I215, 1) 
  f3(I217, I218, I219, I220, I221, I222, I223) -> f4(I217, I218, I219, I220, I221, I222, I223) 
  f1(I224, I225, I226, I227, I228, I229, I230) -> f2(I224, I225, I226, I227, I228, I229, I230) 

The dependency graph for this problem is:
  6 -> 
Where:
  6) f19#(I35, I36, I37, I38, I39, I40, I41) -> f17#(I35, I36, I37, I38, I39, I40, I41) 

We have the following SCCs.
  

DP problem for innermost termination.
P =
  f2#(I7, I8, I9, I10, I11, I12, I13) -> f3#(I7, I8, 0, I10, I11, I12, I13) [1 + I8 <= I7]
  f4#(I21, I22, I23, I24, I25, I26, I27) -> f3#(I21, I22, 1 + I23, I24, I25, I26, I27) [1 + I23 <= I21]
  f4#(I28, I29, I30, I31, I32, I33, I34) -> f1#(I28, 1 + I29, I30, I31, I32, I33, I34) [I28 <= I30]
  f3#(I217, I218, I219, I220, I221, I222, I223) -> f4#(I217, I218, I219, I220, I221, I222, I223) 
  f1#(I224, I225, I226, I227, I228, I229, I230) -> f2#(I224, I225, I226, I227, I228, I229, I230) 
R = 
  f22(x1, x2, x3, x4, x5, x6, x7) -> f21(x1, x2, x3, x4, x5, x6, x7) 
  f21(I0, I1, I2, I3, I4, I5, I6) -> f1(2, 0, I2, I3, rnd5, rnd6, I6) [rnd6 = rnd6 /\ rnd5 = rnd5]
  f2(I7, I8, I9, I10, I11, I12, I13) -> f3(I7, I8, 0, I10, I11, I12, I13) [1 + I8 <= I7]
  f2(I14, I15, I16, I17, I18, I19, I20) -> f14(I14, 0, I16, I17, I18, I19, I20) [I14 <= I15]
  f4(I21, I22, I23, I24, I25, I26, I27) -> f3(I21, I22, 1 + I23, I24, I25, I26, I27) [1 + I23 <= I21]
  f4(I28, I29, I30, I31, I32, I33, I34) -> f1(I28, 1 + I29, I30, I31, I32, I33, I34) [I28 <= I30]
  f19(I35, I36, I37, I38, I39, I40, I41) -> f17(I35, I36, I37, I38, I39, I40, I41) 
  f15(I42, I43, I44, I45, I46, I47, I48) -> f18(I42, I43, 0, I45, I46, I47, I48) [1 + I43 <= I42]
  f15(I49, I50, I51, I52, I53, I54, I55) -> f16(I49, I50, I51, I52, I53, I54, I55) [I49 <= I50]
  f20(I56, I57, I58, I59, I60, I61, I62) -> f19(I56, I57, I58, 0, I60, I61, I62) [1 + I58 <= I56]
  f20(I63, I64, I65, I66, I67, I68, I69) -> f14(I63, 1 + I64, I65, I66, I67, I68, I69) [I63 <= I65]
  f18(I70, I71, I72, I73, I74, I75, I76) -> f20(I70, I71, I72, I73, I74, I75, I76) 
  f17(I77, I78, I79, I80, I81, I82, I83) -> f19(I77, I78, I79, 1 + I80, I81, I82, I83) [1 + I80 <= I77]
  f17(I84, I85, I86, I87, I88, I89, I90) -> f18(I84, I85, 1 + I86, I87, I88, I89, I90) [I84 <= I87]
  f16(I91, I92, I93, I94, I95, I96, I97) -> f13(I91, I92, I93, I94, I95, I96, I97) 
  f16(I98, I99, I100, I101, I102, I103, I104) -> f5(I98, I99, I100, I101, I102, I103, I104) 
  f16(I105, I106, I107, I108, I109, I110, I111) -> f5(I105, I106, I107, I108, I109, I110, I111) 
  f14(I112, I113, I114, I115, I116, I117, I118) -> f15(I112, I113, I114, I115, I116, I117, I118) 
  f13(I119, I120, I121, I122, I123, I124, I125) -> f12(I119, I120, I121, I122, I123, I124, I125) 
  f13(I126, I127, I128, I129, I130, I131, I132) -> f7(I126, I127, I128, I129, I130, I131, I132) 
  f13(I133, I134, I135, I136, I137, I138, I139) -> f7(I133, I134, I135, I136, I137, I138, I139) 
  f12(I140, I141, I142, I143, I144, I145, I146) -> f11(I140, I141, I142, I143, I144, I145, I146) 
  f12(I147, I148, I149, I150, I151, I152, I153) -> f8(I147, I148, I149, I150, I151, I152, I153) 
  f12(I154, I155, I156, I157, I158, I159, I160) -> f8(I154, I155, I156, I157, I158, I159, I160) 
  f11(I161, I162, I163, I164, I165, I166, I167) -> f9(I161, I162, I163, I164, I165, I166, I167) 
  f11(I168, I169, I170, I171, I172, I173, I174) -> f6(I168, I169, I170, I171, I172, I173, 0) 
  f11(I175, I176, I177, I178, I179, I180, I181) -> f9(I175, I176, I177, I178, I179, I180, I181) 
  f6(I182, I183, I184, I185, I186, I187, I188) -> f10(I182, I183, I184, I185, I186, I187, I188) 
  f9(I189, I190, I191, I192, I193, I194, I195) -> f6(I189, I190, I191, I192, I193, I194, 1) 
  f8(I196, I197, I198, I199, I200, I201, I202) -> f6(I196, I197, I198, I199, I200, I201, 1) 
  f7(I203, I204, I205, I206, I207, I208, I209) -> f6(I203, I204, I205, I206, I207, I208, 1) 
  f5(I210, I211, I212, I213, I214, I215, I216) -> f6(I210, I211, I212, I213, I214, I215, 1) 
  f3(I217, I218, I219, I220, I221, I222, I223) -> f4(I217, I218, I219, I220, I221, I222, I223) 
  f1(I224, I225, I226, I227, I228, I229, I230) -> f2(I224, I225, I226, I227, I228, I229, I230) 

We use the extended value criterion with the projection function NU:
  NU[f1#(x0,x1,x2,x3,x4,x5,x6)] = x0 - x1 - 1
  NU[f4#(x0,x1,x2,x3,x4,x5,x6)] = x0 - x1 - 2
  NU[f3#(x0,x1,x2,x3,x4,x5,x6)] = x0 - x1 - 2
  NU[f2#(x0,x1,x2,x3,x4,x5,x6)] = x0 - x1 - 1

This gives the following inequalities:
  1 + I8 <= I7  ==>  I7 - I8 - 1 > I7 - I8 - 2  with  I7 - I8 - 1 >= 0
  1 + I23 <= I21  ==>  I21 - I22 - 2 >= I21 - I22 - 2
  I28 <= I30  ==>  I28 - I29 - 2 >= I28 - (1 + I29) - 1
    ==>  I217 - I218 - 2 >= I217 - I218 - 2
    ==>  I224 - I225 - 1 >= I224 - I225 - 1

We remove all the strictly oriented dependency pairs.

DP problem for innermost termination.
P =
  f4#(I21, I22, I23, I24, I25, I26, I27) -> f3#(I21, I22, 1 + I23, I24, I25, I26, I27) [1 + I23 <= I21]
  f4#(I28, I29, I30, I31, I32, I33, I34) -> f1#(I28, 1 + I29, I30, I31, I32, I33, I34) [I28 <= I30]
  f3#(I217, I218, I219, I220, I221, I222, I223) -> f4#(I217, I218, I219, I220, I221, I222, I223) 
  f1#(I224, I225, I226, I227, I228, I229, I230) -> f2#(I224, I225, I226, I227, I228, I229, I230) 
R = 
  f22(x1, x2, x3, x4, x5, x6, x7) -> f21(x1, x2, x3, x4, x5, x6, x7) 
  f21(I0, I1, I2, I3, I4, I5, I6) -> f1(2, 0, I2, I3, rnd5, rnd6, I6) [rnd6 = rnd6 /\ rnd5 = rnd5]
  f2(I7, I8, I9, I10, I11, I12, I13) -> f3(I7, I8, 0, I10, I11, I12, I13) [1 + I8 <= I7]
  f2(I14, I15, I16, I17, I18, I19, I20) -> f14(I14, 0, I16, I17, I18, I19, I20) [I14 <= I15]
  f4(I21, I22, I23, I24, I25, I26, I27) -> f3(I21, I22, 1 + I23, I24, I25, I26, I27) [1 + I23 <= I21]
  f4(I28, I29, I30, I31, I32, I33, I34) -> f1(I28, 1 + I29, I30, I31, I32, I33, I34) [I28 <= I30]
  f19(I35, I36, I37, I38, I39, I40, I41) -> f17(I35, I36, I37, I38, I39, I40, I41) 
  f15(I42, I43, I44, I45, I46, I47, I48) -> f18(I42, I43, 0, I45, I46, I47, I48) [1 + I43 <= I42]
  f15(I49, I50, I51, I52, I53, I54, I55) -> f16(I49, I50, I51, I52, I53, I54, I55) [I49 <= I50]
  f20(I56, I57, I58, I59, I60, I61, I62) -> f19(I56, I57, I58, 0, I60, I61, I62) [1 + I58 <= I56]
  f20(I63, I64, I65, I66, I67, I68, I69) -> f14(I63, 1 + I64, I65, I66, I67, I68, I69) [I63 <= I65]
  f18(I70, I71, I72, I73, I74, I75, I76) -> f20(I70, I71, I72, I73, I74, I75, I76) 
  f17(I77, I78, I79, I80, I81, I82, I83) -> f19(I77, I78, I79, 1 + I80, I81, I82, I83) [1 + I80 <= I77]
  f17(I84, I85, I86, I87, I88, I89, I90) -> f18(I84, I85, 1 + I86, I87, I88, I89, I90) [I84 <= I87]
  f16(I91, I92, I93, I94, I95, I96, I97) -> f13(I91, I92, I93, I94, I95, I96, I97) 
  f16(I98, I99, I100, I101, I102, I103, I104) -> f5(I98, I99, I100, I101, I102, I103, I104) 
  f16(I105, I106, I107, I108, I109, I110, I111) -> f5(I105, I106, I107, I108, I109, I110, I111) 
  f14(I112, I113, I114, I115, I116, I117, I118) -> f15(I112, I113, I114, I115, I116, I117, I118) 
  f13(I119, I120, I121, I122, I123, I124, I125) -> f12(I119, I120, I121, I122, I123, I124, I125) 
  f13(I126, I127, I128, I129, I130, I131, I132) -> f7(I126, I127, I128, I129, I130, I131, I132) 
  f13(I133, I134, I135, I136, I137, I138, I139) -> f7(I133, I134, I135, I136, I137, I138, I139) 
  f12(I140, I141, I142, I143, I144, I145, I146) -> f11(I140, I141, I142, I143, I144, I145, I146) 
  f12(I147, I148, I149, I150, I151, I152, I153) -> f8(I147, I148, I149, I150, I151, I152, I153) 
  f12(I154, I155, I156, I157, I158, I159, I160) -> f8(I154, I155, I156, I157, I158, I159, I160) 
  f11(I161, I162, I163, I164, I165, I166, I167) -> f9(I161, I162, I163, I164, I165, I166, I167) 
  f11(I168, I169, I170, I171, I172, I173, I174) -> f6(I168, I169, I170, I171, I172, I173, 0) 
  f11(I175, I176, I177, I178, I179, I180, I181) -> f9(I175, I176, I177, I178, I179, I180, I181) 
  f6(I182, I183, I184, I185, I186, I187, I188) -> f10(I182, I183, I184, I185, I186, I187, I188) 
  f9(I189, I190, I191, I192, I193, I194, I195) -> f6(I189, I190, I191, I192, I193, I194, 1) 
  f8(I196, I197, I198, I199, I200, I201, I202) -> f6(I196, I197, I198, I199, I200, I201, 1) 
  f7(I203, I204, I205, I206, I207, I208, I209) -> f6(I203, I204, I205, I206, I207, I208, 1) 
  f5(I210, I211, I212, I213, I214, I215, I216) -> f6(I210, I211, I212, I213, I214, I215, 1) 
  f3(I217, I218, I219, I220, I221, I222, I223) -> f4(I217, I218, I219, I220, I221, I222, I223) 
  f1(I224, I225, I226, I227, I228, I229, I230) -> f2(I224, I225, I226, I227, I228, I229, I230) 

The dependency graph for this problem is:
  4 -> 31
  5 -> 32
  31 -> 4, 5
  32 -> 
Where:
  4) f4#(I21, I22, I23, I24, I25, I26, I27) -> f3#(I21, I22, 1 + I23, I24, I25, I26, I27) [1 + I23 <= I21]
  5) f4#(I28, I29, I30, I31, I32, I33, I34) -> f1#(I28, 1 + I29, I30, I31, I32, I33, I34) [I28 <= I30]
  31) f3#(I217, I218, I219, I220, I221, I222, I223) -> f4#(I217, I218, I219, I220, I221, I222, I223) 
  32) f1#(I224, I225, I226, I227, I228, I229, I230) -> f2#(I224, I225, I226, I227, I228, I229, I230) 

We have the following SCCs.
  { 4, 31 }

DP problem for innermost termination.
P =
  f4#(I21, I22, I23, I24, I25, I26, I27) -> f3#(I21, I22, 1 + I23, I24, I25, I26, I27) [1 + I23 <= I21]
  f3#(I217, I218, I219, I220, I221, I222, I223) -> f4#(I217, I218, I219, I220, I221, I222, I223) 
R = 
  f22(x1, x2, x3, x4, x5, x6, x7) -> f21(x1, x2, x3, x4, x5, x6, x7) 
  f21(I0, I1, I2, I3, I4, I5, I6) -> f1(2, 0, I2, I3, rnd5, rnd6, I6) [rnd6 = rnd6 /\ rnd5 = rnd5]
  f2(I7, I8, I9, I10, I11, I12, I13) -> f3(I7, I8, 0, I10, I11, I12, I13) [1 + I8 <= I7]
  f2(I14, I15, I16, I17, I18, I19, I20) -> f14(I14, 0, I16, I17, I18, I19, I20) [I14 <= I15]
  f4(I21, I22, I23, I24, I25, I26, I27) -> f3(I21, I22, 1 + I23, I24, I25, I26, I27) [1 + I23 <= I21]
  f4(I28, I29, I30, I31, I32, I33, I34) -> f1(I28, 1 + I29, I30, I31, I32, I33, I34) [I28 <= I30]
  f19(I35, I36, I37, I38, I39, I40, I41) -> f17(I35, I36, I37, I38, I39, I40, I41) 
  f15(I42, I43, I44, I45, I46, I47, I48) -> f18(I42, I43, 0, I45, I46, I47, I48) [1 + I43 <= I42]
  f15(I49, I50, I51, I52, I53, I54, I55) -> f16(I49, I50, I51, I52, I53, I54, I55) [I49 <= I50]
  f20(I56, I57, I58, I59, I60, I61, I62) -> f19(I56, I57, I58, 0, I60, I61, I62) [1 + I58 <= I56]
  f20(I63, I64, I65, I66, I67, I68, I69) -> f14(I63, 1 + I64, I65, I66, I67, I68, I69) [I63 <= I65]
  f18(I70, I71, I72, I73, I74, I75, I76) -> f20(I70, I71, I72, I73, I74, I75, I76) 
  f17(I77, I78, I79, I80, I81, I82, I83) -> f19(I77, I78, I79, 1 + I80, I81, I82, I83) [1 + I80 <= I77]
  f17(I84, I85, I86, I87, I88, I89, I90) -> f18(I84, I85, 1 + I86, I87, I88, I89, I90) [I84 <= I87]
  f16(I91, I92, I93, I94, I95, I96, I97) -> f13(I91, I92, I93, I94, I95, I96, I97) 
  f16(I98, I99, I100, I101, I102, I103, I104) -> f5(I98, I99, I100, I101, I102, I103, I104) 
  f16(I105, I106, I107, I108, I109, I110, I111) -> f5(I105, I106, I107, I108, I109, I110, I111) 
  f14(I112, I113, I114, I115, I116, I117, I118) -> f15(I112, I113, I114, I115, I116, I117, I118) 
  f13(I119, I120, I121, I122, I123, I124, I125) -> f12(I119, I120, I121, I122, I123, I124, I125) 
  f13(I126, I127, I128, I129, I130, I131, I132) -> f7(I126, I127, I128, I129, I130, I131, I132) 
  f13(I133, I134, I135, I136, I137, I138, I139) -> f7(I133, I134, I135, I136, I137, I138, I139) 
  f12(I140, I141, I142, I143, I144, I145, I146) -> f11(I140, I141, I142, I143, I144, I145, I146) 
  f12(I147, I148, I149, I150, I151, I152, I153) -> f8(I147, I148, I149, I150, I151, I152, I153) 
  f12(I154, I155, I156, I157, I158, I159, I160) -> f8(I154, I155, I156, I157, I158, I159, I160) 
  f11(I161, I162, I163, I164, I165, I166, I167) -> f9(I161, I162, I163, I164, I165, I166, I167) 
  f11(I168, I169, I170, I171, I172, I173, I174) -> f6(I168, I169, I170, I171, I172, I173, 0) 
  f11(I175, I176, I177, I178, I179, I180, I181) -> f9(I175, I176, I177, I178, I179, I180, I181) 
  f6(I182, I183, I184, I185, I186, I187, I188) -> f10(I182, I183, I184, I185, I186, I187, I188) 
  f9(I189, I190, I191, I192, I193, I194, I195) -> f6(I189, I190, I191, I192, I193, I194, 1) 
  f8(I196, I197, I198, I199, I200, I201, I202) -> f6(I196, I197, I198, I199, I200, I201, 1) 
  f7(I203, I204, I205, I206, I207, I208, I209) -> f6(I203, I204, I205, I206, I207, I208, 1) 
  f5(I210, I211, I212, I213, I214, I215, I216) -> f6(I210, I211, I212, I213, I214, I215, 1) 
  f3(I217, I218, I219, I220, I221, I222, I223) -> f4(I217, I218, I219, I220, I221, I222, I223) 
  f1(I224, I225, I226, I227, I228, I229, I230) -> f2(I224, I225, I226, I227, I228, I229, I230) 

We use the reverse value criterion with the projection function NU:
  NU[f3#(z1,z2,z3,z4,z5,z6,z7)] = z1 + -1 * (1 + z3)
  NU[f4#(z1,z2,z3,z4,z5,z6,z7)] = z1 + -1 * (1 + z3)

This gives the following inequalities:
  1 + I23 <= I21  ==>  I21 + -1 * (1 + I23) > I21 + -1 * (1 + (1 + I23))  with  I21 + -1 * (1 + I23) >= 0
    ==>  I217 + -1 * (1 + I219) >= I217 + -1 * (1 + I219)

We remove all the strictly oriented dependency pairs.

DP problem for innermost termination.
P =
  f3#(I217, I218, I219, I220, I221, I222, I223) -> f4#(I217, I218, I219, I220, I221, I222, I223) 
R = 
  f22(x1, x2, x3, x4, x5, x6, x7) -> f21(x1, x2, x3, x4, x5, x6, x7) 
  f21(I0, I1, I2, I3, I4, I5, I6) -> f1(2, 0, I2, I3, rnd5, rnd6, I6) [rnd6 = rnd6 /\ rnd5 = rnd5]
  f2(I7, I8, I9, I10, I11, I12, I13) -> f3(I7, I8, 0, I10, I11, I12, I13) [1 + I8 <= I7]
  f2(I14, I15, I16, I17, I18, I19, I20) -> f14(I14, 0, I16, I17, I18, I19, I20) [I14 <= I15]
  f4(I21, I22, I23, I24, I25, I26, I27) -> f3(I21, I22, 1 + I23, I24, I25, I26, I27) [1 + I23 <= I21]
  f4(I28, I29, I30, I31, I32, I33, I34) -> f1(I28, 1 + I29, I30, I31, I32, I33, I34) [I28 <= I30]
  f19(I35, I36, I37, I38, I39, I40, I41) -> f17(I35, I36, I37, I38, I39, I40, I41) 
  f15(I42, I43, I44, I45, I46, I47, I48) -> f18(I42, I43, 0, I45, I46, I47, I48) [1 + I43 <= I42]
  f15(I49, I50, I51, I52, I53, I54, I55) -> f16(I49, I50, I51, I52, I53, I54, I55) [I49 <= I50]
  f20(I56, I57, I58, I59, I60, I61, I62) -> f19(I56, I57, I58, 0, I60, I61, I62) [1 + I58 <= I56]
  f20(I63, I64, I65, I66, I67, I68, I69) -> f14(I63, 1 + I64, I65, I66, I67, I68, I69) [I63 <= I65]
  f18(I70, I71, I72, I73, I74, I75, I76) -> f20(I70, I71, I72, I73, I74, I75, I76) 
  f17(I77, I78, I79, I80, I81, I82, I83) -> f19(I77, I78, I79, 1 + I80, I81, I82, I83) [1 + I80 <= I77]
  f17(I84, I85, I86, I87, I88, I89, I90) -> f18(I84, I85, 1 + I86, I87, I88, I89, I90) [I84 <= I87]
  f16(I91, I92, I93, I94, I95, I96, I97) -> f13(I91, I92, I93, I94, I95, I96, I97) 
  f16(I98, I99, I100, I101, I102, I103, I104) -> f5(I98, I99, I100, I101, I102, I103, I104) 
  f16(I105, I106, I107, I108, I109, I110, I111) -> f5(I105, I106, I107, I108, I109, I110, I111) 
  f14(I112, I113, I114, I115, I116, I117, I118) -> f15(I112, I113, I114, I115, I116, I117, I118) 
  f13(I119, I120, I121, I122, I123, I124, I125) -> f12(I119, I120, I121, I122, I123, I124, I125) 
  f13(I126, I127, I128, I129, I130, I131, I132) -> f7(I126, I127, I128, I129, I130, I131, I132) 
  f13(I133, I134, I135, I136, I137, I138, I139) -> f7(I133, I134, I135, I136, I137, I138, I139) 
  f12(I140, I141, I142, I143, I144, I145, I146) -> f11(I140, I141, I142, I143, I144, I145, I146) 
  f12(I147, I148, I149, I150, I151, I152, I153) -> f8(I147, I148, I149, I150, I151, I152, I153) 
  f12(I154, I155, I156, I157, I158, I159, I160) -> f8(I154, I155, I156, I157, I158, I159, I160) 
  f11(I161, I162, I163, I164, I165, I166, I167) -> f9(I161, I162, I163, I164, I165, I166, I167) 
  f11(I168, I169, I170, I171, I172, I173, I174) -> f6(I168, I169, I170, I171, I172, I173, 0) 
  f11(I175, I176, I177, I178, I179, I180, I181) -> f9(I175, I176, I177, I178, I179, I180, I181) 
  f6(I182, I183, I184, I185, I186, I187, I188) -> f10(I182, I183, I184, I185, I186, I187, I188) 
  f9(I189, I190, I191, I192, I193, I194, I195) -> f6(I189, I190, I191, I192, I193, I194, 1) 
  f8(I196, I197, I198, I199, I200, I201, I202) -> f6(I196, I197, I198, I199, I200, I201, 1) 
  f7(I203, I204, I205, I206, I207, I208, I209) -> f6(I203, I204, I205, I206, I207, I208, 1) 
  f5(I210, I211, I212, I213, I214, I215, I216) -> f6(I210, I211, I212, I213, I214, I215, 1) 
  f3(I217, I218, I219, I220, I221, I222, I223) -> f4(I217, I218, I219, I220, I221, I222, I223) 
  f1(I224, I225, I226, I227, I228, I229, I230) -> f2(I224, I225, I226, I227, I228, I229, I230) 

The dependency graph for this problem is:
  31 -> 
Where:
  31) f3#(I217, I218, I219, I220, I221, I222, I223) -> f4#(I217, I218, I219, I220, I221, I222, I223) 

We have the following SCCs.