3.70/3.77 MAYBE 3.70/3.77 3.70/3.77 DP problem for innermost termination. 3.70/3.77 P = 3.70/3.77 init#(x1, x2, x3, x4, x5, x6) -> f3#(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6) 3.70/3.77 f5#(I0, I1, I2, I3, I4, I5) -> f5#(I0, I6, I7, I8, I9, I10) [I6 + 1 <= I1 /\ I0 <= y1 - 1 /\ I6 + 1 <= I2 /\ I7 + 1 <= I1 /\ I7 + 1 <= I2 /\ 0 <= I1 - 1 /\ 0 <= I2 - 1 /\ -1 <= I6 - 1 /\ -1 <= I7 - 1] 3.70/3.77 f5#(I11, I12, I13, I14, I15, I16) -> f5#(I11, I17, I18, I19, I20, I21) [I17 + 1 <= I12 /\ I22 <= I11 - 1 /\ I17 + 1 <= I13 /\ I18 + 1 <= I12 /\ I18 + 1 <= I13 /\ 0 <= I12 - 1 /\ 0 <= I13 - 1 /\ -1 <= I17 - 1 /\ -1 <= I18 - 1] 3.70/3.77 f2#(I23, I24, I25, I26, I27, I28) -> f5#(I24, I29, I30, I31, I32, I33) [I24 <= I27 /\ 0 <= I34 - 1 /\ 0 <= y2 - 1 /\ I29 <= I25 /\ I30 <= I25 /\ 0 <= I23 - 1 /\ -1 <= I25 - 1 /\ -1 <= I26 - 1 /\ -1 <= I28 - 1 /\ -1 <= I29 - 1 /\ -1 <= I30 - 1] 3.70/3.77 f4#(I35, I36, I37, I38, I39, I40) -> f4#(I35 - 1, I36 + 1, I41, I42, I43, I44) [0 <= I36 - 1 /\ 0 <= I35 - 1] 3.70/3.77 f3#(I45, I46, I47, I48, I49, I50) -> f4#(I51, 1, I52, I53, I54, I55) [0 <= I45 - 1 /\ -1 <= I51 - 1 /\ -1 <= I46 - 1] 3.70/3.77 f2#(I56, I57, I58, I59, I60, I61) -> f2#(I62, I57 + 1, I63, I64, 0, I65) [I57 <= I60 /\ 0 <= I66 - 1 /\ 0 <= I67 - 1 /\ I62 <= I56 /\ I62 - 1 <= I58 /\ I62 - 1 <= I59 /\ I62 - 1 <= I61 /\ I63 <= I58 /\ I64 <= I58 /\ I65 <= I58 /\ 0 <= I56 - 1 /\ -1 <= I58 - 1 /\ -1 <= I59 - 1 /\ -1 <= I61 - 1 /\ 0 <= I62 - 1 /\ -1 <= I63 - 1 /\ -1 <= I64 - 1 /\ -1 <= I65 - 1] 3.70/3.77 f2#(I68, I69, I70, I71, I72, I73) -> f2#(I74, I69, I75, I76, I77, I78) [I77 + 2 <= I73 /\ I77 + 2 <= I71 /\ -1 <= I78 - 1 /\ -1 <= I76 - 1 /\ -1 <= I75 - 1 /\ 0 <= I74 - 1 /\ 0 <= I73 - 1 /\ 0 <= I71 - 1 /\ -1 <= I70 - 1 /\ 0 <= I68 - 1 /\ I78 + 1 <= I73 /\ I78 + 1 <= I71 /\ I76 + 1 <= I73 /\ I76 + 1 <= I71 /\ I75 <= I70 /\ I74 <= I73 /\ I74 <= I71 /\ I74 - 1 <= I70 /\ I72 <= I77 - 1 /\ I74 <= I68] 3.70/3.77 f2#(I79, I80, I81, I82, I83, I84) -> f2#(I85, I80, I86, I87, I83, I88) [I85 <= I79 /\ I89 <= I83 /\ I85 - 1 <= I81 /\ I85 <= I82 /\ I85 <= I84 /\ I86 <= I81 /\ I87 + 1 <= I82 /\ I87 + 1 <= I84 /\ I88 + 1 <= I82 /\ I88 + 1 <= I84 /\ 0 <= I79 - 1 /\ -1 <= I81 - 1 /\ 0 <= I82 - 1 /\ 0 <= I84 - 1 /\ 0 <= I85 - 1 /\ -1 <= I86 - 1 /\ -1 <= I87 - 1 /\ -1 <= I88 - 1] 3.70/3.77 f3#(I90, I91, I92, I93, I94, I95) -> f2#(I96, 0, I97, I98, 0, I99) [-1 <= I99 - 1 /\ -1 <= I98 - 1 /\ -1 <= I97 - 1 /\ 0 <= I96 - 1 /\ 0 <= I90 - 1 /\ I96 <= I90] 3.70/3.77 f1#(I100, I101, I102, I103, I104, I105) -> f2#(I106, 0, I107, I108, 0, I109) [-1 <= I109 - 1 /\ -1 <= I108 - 1 /\ -1 <= I107 - 1 /\ 0 <= I106 - 1 /\ -1 <= I101 - 1 /\ 0 <= I100 - 1 /\ I109 <= I101 /\ I108 <= I101 /\ I107 <= I101 /\ I106 - 1 <= I101 /\ I106 <= I100] 3.70/3.77 R = 3.70/3.77 init(x1, x2, x3, x4, x5, x6) -> f3(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6) 3.70/3.77 f5(I0, I1, I2, I3, I4, I5) -> f5(I0, I6, I7, I8, I9, I10) [I6 + 1 <= I1 /\ I0 <= y1 - 1 /\ I6 + 1 <= I2 /\ I7 + 1 <= I1 /\ I7 + 1 <= I2 /\ 0 <= I1 - 1 /\ 0 <= I2 - 1 /\ -1 <= I6 - 1 /\ -1 <= I7 - 1] 3.70/3.77 f5(I11, I12, I13, I14, I15, I16) -> f5(I11, I17, I18, I19, I20, I21) [I17 + 1 <= I12 /\ I22 <= I11 - 1 /\ I17 + 1 <= I13 /\ I18 + 1 <= I12 /\ I18 + 1 <= I13 /\ 0 <= I12 - 1 /\ 0 <= I13 - 1 /\ -1 <= I17 - 1 /\ -1 <= I18 - 1] 3.70/3.77 f2(I23, I24, I25, I26, I27, I28) -> f5(I24, I29, I30, I31, I32, I33) [I24 <= I27 /\ 0 <= I34 - 1 /\ 0 <= y2 - 1 /\ I29 <= I25 /\ I30 <= I25 /\ 0 <= I23 - 1 /\ -1 <= I25 - 1 /\ -1 <= I26 - 1 /\ -1 <= I28 - 1 /\ -1 <= I29 - 1 /\ -1 <= I30 - 1] 3.70/3.77 f4(I35, I36, I37, I38, I39, I40) -> f4(I35 - 1, I36 + 1, I41, I42, I43, I44) [0 <= I36 - 1 /\ 0 <= I35 - 1] 3.70/3.77 f3(I45, I46, I47, I48, I49, I50) -> f4(I51, 1, I52, I53, I54, I55) [0 <= I45 - 1 /\ -1 <= I51 - 1 /\ -1 <= I46 - 1] 3.70/3.77 f2(I56, I57, I58, I59, I60, I61) -> f2(I62, I57 + 1, I63, I64, 0, I65) [I57 <= I60 /\ 0 <= I66 - 1 /\ 0 <= I67 - 1 /\ I62 <= I56 /\ I62 - 1 <= I58 /\ I62 - 1 <= I59 /\ I62 - 1 <= I61 /\ I63 <= I58 /\ I64 <= I58 /\ I65 <= I58 /\ 0 <= I56 - 1 /\ -1 <= I58 - 1 /\ -1 <= I59 - 1 /\ -1 <= I61 - 1 /\ 0 <= I62 - 1 /\ -1 <= I63 - 1 /\ -1 <= I64 - 1 /\ -1 <= I65 - 1] 3.70/3.77 f2(I68, I69, I70, I71, I72, I73) -> f2(I74, I69, I75, I76, I77, I78) [I77 + 2 <= I73 /\ I77 + 2 <= I71 /\ -1 <= I78 - 1 /\ -1 <= I76 - 1 /\ -1 <= I75 - 1 /\ 0 <= I74 - 1 /\ 0 <= I73 - 1 /\ 0 <= I71 - 1 /\ -1 <= I70 - 1 /\ 0 <= I68 - 1 /\ I78 + 1 <= I73 /\ I78 + 1 <= I71 /\ I76 + 1 <= I73 /\ I76 + 1 <= I71 /\ I75 <= I70 /\ I74 <= I73 /\ I74 <= I71 /\ I74 - 1 <= I70 /\ I72 <= I77 - 1 /\ I74 <= I68] 3.70/3.77 f2(I79, I80, I81, I82, I83, I84) -> f2(I85, I80, I86, I87, I83, I88) [I85 <= I79 /\ I89 <= I83 /\ I85 - 1 <= I81 /\ I85 <= I82 /\ I85 <= I84 /\ I86 <= I81 /\ I87 + 1 <= I82 /\ I87 + 1 <= I84 /\ I88 + 1 <= I82 /\ I88 + 1 <= I84 /\ 0 <= I79 - 1 /\ -1 <= I81 - 1 /\ 0 <= I82 - 1 /\ 0 <= I84 - 1 /\ 0 <= I85 - 1 /\ -1 <= I86 - 1 /\ -1 <= I87 - 1 /\ -1 <= I88 - 1] 3.70/3.77 f3(I90, I91, I92, I93, I94, I95) -> f2(I96, 0, I97, I98, 0, I99) [-1 <= I99 - 1 /\ -1 <= I98 - 1 /\ -1 <= I97 - 1 /\ 0 <= I96 - 1 /\ 0 <= I90 - 1 /\ I96 <= I90] 3.70/3.77 f1(I100, I101, I102, I103, I104, I105) -> f2(I106, 0, I107, I108, 0, I109) [-1 <= I109 - 1 /\ -1 <= I108 - 1 /\ -1 <= I107 - 1 /\ 0 <= I106 - 1 /\ -1 <= I101 - 1 /\ 0 <= I100 - 1 /\ I109 <= I101 /\ I108 <= I101 /\ I107 <= I101 /\ I106 - 1 <= I101 /\ I106 <= I100] 3.70/3.77 3.70/3.77 The dependency graph for this problem is: 3.70/3.77 0 -> 5, 9 3.70/3.77 1 -> 1, 2 3.70/3.77 2 -> 1, 2 3.70/3.77 3 -> 1, 2 3.70/3.77 4 -> 4 3.70/3.77 5 -> 4 3.70/3.77 6 -> 3, 6, 7, 8 3.70/3.77 7 -> 3, 6, 7, 8 3.70/3.77 8 -> 3, 6, 7, 8 3.70/3.77 9 -> 3, 6, 7, 8 3.70/3.77 10 -> 3, 6, 7, 8 3.70/3.77 Where: 3.70/3.77 0) init#(x1, x2, x3, x4, x5, x6) -> f3#(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6) 3.70/3.77 1) f5#(I0, I1, I2, I3, I4, I5) -> f5#(I0, I6, I7, I8, I9, I10) [I6 + 1 <= I1 /\ I0 <= y1 - 1 /\ I6 + 1 <= I2 /\ I7 + 1 <= I1 /\ I7 + 1 <= I2 /\ 0 <= I1 - 1 /\ 0 <= I2 - 1 /\ -1 <= I6 - 1 /\ -1 <= I7 - 1] 3.70/3.77 2) f5#(I11, I12, I13, I14, I15, I16) -> f5#(I11, I17, I18, I19, I20, I21) [I17 + 1 <= I12 /\ I22 <= I11 - 1 /\ I17 + 1 <= I13 /\ I18 + 1 <= I12 /\ I18 + 1 <= I13 /\ 0 <= I12 - 1 /\ 0 <= I13 - 1 /\ -1 <= I17 - 1 /\ -1 <= I18 - 1] 3.70/3.77 3) f2#(I23, I24, I25, I26, I27, I28) -> f5#(I24, I29, I30, I31, I32, I33) [I24 <= I27 /\ 0 <= I34 - 1 /\ 0 <= y2 - 1 /\ I29 <= I25 /\ I30 <= I25 /\ 0 <= I23 - 1 /\ -1 <= I25 - 1 /\ -1 <= I26 - 1 /\ -1 <= I28 - 1 /\ -1 <= I29 - 1 /\ -1 <= I30 - 1] 3.70/3.77 4) f4#(I35, I36, I37, I38, I39, I40) -> f4#(I35 - 1, I36 + 1, I41, I42, I43, I44) [0 <= I36 - 1 /\ 0 <= I35 - 1] 3.70/3.77 5) f3#(I45, I46, I47, I48, I49, I50) -> f4#(I51, 1, I52, I53, I54, I55) [0 <= I45 - 1 /\ -1 <= I51 - 1 /\ -1 <= I46 - 1] 3.70/3.77 6) f2#(I56, I57, I58, I59, I60, I61) -> f2#(I62, I57 + 1, I63, I64, 0, I65) [I57 <= I60 /\ 0 <= I66 - 1 /\ 0 <= I67 - 1 /\ I62 <= I56 /\ I62 - 1 <= I58 /\ I62 - 1 <= I59 /\ I62 - 1 <= I61 /\ I63 <= I58 /\ I64 <= I58 /\ I65 <= I58 /\ 0 <= I56 - 1 /\ -1 <= I58 - 1 /\ -1 <= I59 - 1 /\ -1 <= I61 - 1 /\ 0 <= I62 - 1 /\ -1 <= I63 - 1 /\ -1 <= I64 - 1 /\ -1 <= I65 - 1] 3.70/3.77 7) f2#(I68, I69, I70, I71, I72, I73) -> f2#(I74, I69, I75, I76, I77, I78) [I77 + 2 <= I73 /\ I77 + 2 <= I71 /\ -1 <= I78 - 1 /\ -1 <= I76 - 1 /\ -1 <= I75 - 1 /\ 0 <= I74 - 1 /\ 0 <= I73 - 1 /\ 0 <= I71 - 1 /\ -1 <= I70 - 1 /\ 0 <= I68 - 1 /\ I78 + 1 <= I73 /\ I78 + 1 <= I71 /\ I76 + 1 <= I73 /\ I76 + 1 <= I71 /\ I75 <= I70 /\ I74 <= I73 /\ I74 <= I71 /\ I74 - 1 <= I70 /\ I72 <= I77 - 1 /\ I74 <= I68] 3.70/3.77 8) f2#(I79, I80, I81, I82, I83, I84) -> f2#(I85, I80, I86, I87, I83, I88) [I85 <= I79 /\ I89 <= I83 /\ I85 - 1 <= I81 /\ I85 <= I82 /\ I85 <= I84 /\ I86 <= I81 /\ I87 + 1 <= I82 /\ I87 + 1 <= I84 /\ I88 + 1 <= I82 /\ I88 + 1 <= I84 /\ 0 <= I79 - 1 /\ -1 <= I81 - 1 /\ 0 <= I82 - 1 /\ 0 <= I84 - 1 /\ 0 <= I85 - 1 /\ -1 <= I86 - 1 /\ -1 <= I87 - 1 /\ -1 <= I88 - 1] 3.70/3.77 9) f3#(I90, I91, I92, I93, I94, I95) -> f2#(I96, 0, I97, I98, 0, I99) [-1 <= I99 - 1 /\ -1 <= I98 - 1 /\ -1 <= I97 - 1 /\ 0 <= I96 - 1 /\ 0 <= I90 - 1 /\ I96 <= I90] 3.70/3.77 10) f1#(I100, I101, I102, I103, I104, I105) -> f2#(I106, 0, I107, I108, 0, I109) [-1 <= I109 - 1 /\ -1 <= I108 - 1 /\ -1 <= I107 - 1 /\ 0 <= I106 - 1 /\ -1 <= I101 - 1 /\ 0 <= I100 - 1 /\ I109 <= I101 /\ I108 <= I101 /\ I107 <= I101 /\ I106 - 1 <= I101 /\ I106 <= I100] 3.70/3.77 3.70/3.77 We have the following SCCs. 3.70/3.77 { 4 } 3.70/3.77 { 6, 7, 8 } 3.70/3.77 { 1, 2 } 3.70/3.77 3.70/3.77 DP problem for innermost termination. 3.70/3.77 P = 3.70/3.77 f5#(I0, I1, I2, I3, I4, I5) -> f5#(I0, I6, I7, I8, I9, I10) [I6 + 1 <= I1 /\ I0 <= y1 - 1 /\ I6 + 1 <= I2 /\ I7 + 1 <= I1 /\ I7 + 1 <= I2 /\ 0 <= I1 - 1 /\ 0 <= I2 - 1 /\ -1 <= I6 - 1 /\ -1 <= I7 - 1] 3.70/3.77 f5#(I11, I12, I13, I14, I15, I16) -> f5#(I11, I17, I18, I19, I20, I21) [I17 + 1 <= I12 /\ I22 <= I11 - 1 /\ I17 + 1 <= I13 /\ I18 + 1 <= I12 /\ I18 + 1 <= I13 /\ 0 <= I12 - 1 /\ 0 <= I13 - 1 /\ -1 <= I17 - 1 /\ -1 <= I18 - 1] 3.70/3.77 R = 3.70/3.77 init(x1, x2, x3, x4, x5, x6) -> f3(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6) 3.70/3.77 f5(I0, I1, I2, I3, I4, I5) -> f5(I0, I6, I7, I8, I9, I10) [I6 + 1 <= I1 /\ I0 <= y1 - 1 /\ I6 + 1 <= I2 /\ I7 + 1 <= I1 /\ I7 + 1 <= I2 /\ 0 <= I1 - 1 /\ 0 <= I2 - 1 /\ -1 <= I6 - 1 /\ -1 <= I7 - 1] 3.70/3.77 f5(I11, I12, I13, I14, I15, I16) -> f5(I11, I17, I18, I19, I20, I21) [I17 + 1 <= I12 /\ I22 <= I11 - 1 /\ I17 + 1 <= I13 /\ I18 + 1 <= I12 /\ I18 + 1 <= I13 /\ 0 <= I12 - 1 /\ 0 <= I13 - 1 /\ -1 <= I17 - 1 /\ -1 <= I18 - 1] 3.70/3.77 f2(I23, I24, I25, I26, I27, I28) -> f5(I24, I29, I30, I31, I32, I33) [I24 <= I27 /\ 0 <= I34 - 1 /\ 0 <= y2 - 1 /\ I29 <= I25 /\ I30 <= I25 /\ 0 <= I23 - 1 /\ -1 <= I25 - 1 /\ -1 <= I26 - 1 /\ -1 <= I28 - 1 /\ -1 <= I29 - 1 /\ -1 <= I30 - 1] 3.70/3.77 f4(I35, I36, I37, I38, I39, I40) -> f4(I35 - 1, I36 + 1, I41, I42, I43, I44) [0 <= I36 - 1 /\ 0 <= I35 - 1] 3.70/3.77 f3(I45, I46, I47, I48, I49, I50) -> f4(I51, 1, I52, I53, I54, I55) [0 <= I45 - 1 /\ -1 <= I51 - 1 /\ -1 <= I46 - 1] 3.70/3.77 f2(I56, I57, I58, I59, I60, I61) -> f2(I62, I57 + 1, I63, I64, 0, I65) [I57 <= I60 /\ 0 <= I66 - 1 /\ 0 <= I67 - 1 /\ I62 <= I56 /\ I62 - 1 <= I58 /\ I62 - 1 <= I59 /\ I62 - 1 <= I61 /\ I63 <= I58 /\ I64 <= I58 /\ I65 <= I58 /\ 0 <= I56 - 1 /\ -1 <= I58 - 1 /\ -1 <= I59 - 1 /\ -1 <= I61 - 1 /\ 0 <= I62 - 1 /\ -1 <= I63 - 1 /\ -1 <= I64 - 1 /\ -1 <= I65 - 1] 3.70/3.77 f2(I68, I69, I70, I71, I72, I73) -> f2(I74, I69, I75, I76, I77, I78) [I77 + 2 <= I73 /\ I77 + 2 <= I71 /\ -1 <= I78 - 1 /\ -1 <= I76 - 1 /\ -1 <= I75 - 1 /\ 0 <= I74 - 1 /\ 0 <= I73 - 1 /\ 0 <= I71 - 1 /\ -1 <= I70 - 1 /\ 0 <= I68 - 1 /\ I78 + 1 <= I73 /\ I78 + 1 <= I71 /\ I76 + 1 <= I73 /\ I76 + 1 <= I71 /\ I75 <= I70 /\ I74 <= I73 /\ I74 <= I71 /\ I74 - 1 <= I70 /\ I72 <= I77 - 1 /\ I74 <= I68] 3.70/3.77 f2(I79, I80, I81, I82, I83, I84) -> f2(I85, I80, I86, I87, I83, I88) [I85 <= I79 /\ I89 <= I83 /\ I85 - 1 <= I81 /\ I85 <= I82 /\ I85 <= I84 /\ I86 <= I81 /\ I87 + 1 <= I82 /\ I87 + 1 <= I84 /\ I88 + 1 <= I82 /\ I88 + 1 <= I84 /\ 0 <= I79 - 1 /\ -1 <= I81 - 1 /\ 0 <= I82 - 1 /\ 0 <= I84 - 1 /\ 0 <= I85 - 1 /\ -1 <= I86 - 1 /\ -1 <= I87 - 1 /\ -1 <= I88 - 1] 3.70/3.77 f3(I90, I91, I92, I93, I94, I95) -> f2(I96, 0, I97, I98, 0, I99) [-1 <= I99 - 1 /\ -1 <= I98 - 1 /\ -1 <= I97 - 1 /\ 0 <= I96 - 1 /\ 0 <= I90 - 1 /\ I96 <= I90] 3.70/3.77 f1(I100, I101, I102, I103, I104, I105) -> f2(I106, 0, I107, I108, 0, I109) [-1 <= I109 - 1 /\ -1 <= I108 - 1 /\ -1 <= I107 - 1 /\ 0 <= I106 - 1 /\ -1 <= I101 - 1 /\ 0 <= I100 - 1 /\ I109 <= I101 /\ I108 <= I101 /\ I107 <= I101 /\ I106 - 1 <= I101 /\ I106 <= I100] 3.70/3.77 3.70/3.77 We use the basic value criterion with the projection function NU: 3.70/3.77 NU[f5#(z1,z2,z3,z4,z5,z6)] = z2 3.70/3.77 3.70/3.77 This gives the following inequalities: 3.70/3.77 I6 + 1 <= I1 /\ I0 <= y1 - 1 /\ I6 + 1 <= I2 /\ I7 + 1 <= I1 /\ I7 + 1 <= I2 /\ 0 <= I1 - 1 /\ 0 <= I2 - 1 /\ -1 <= I6 - 1 /\ -1 <= I7 - 1 ==> I1 >! I6 3.70/3.77 I17 + 1 <= I12 /\ I22 <= I11 - 1 /\ I17 + 1 <= I13 /\ I18 + 1 <= I12 /\ I18 + 1 <= I13 /\ 0 <= I12 - 1 /\ 0 <= I13 - 1 /\ -1 <= I17 - 1 /\ -1 <= I18 - 1 ==> I12 >! I17 3.70/3.77 3.70/3.77 All dependency pairs are strictly oriented, so the entire dependency pair problem may be removed. 3.70/3.77 3.70/3.77 DP problem for innermost termination. 3.70/3.77 P = 3.70/3.77 f2#(I56, I57, I58, I59, I60, I61) -> f2#(I62, I57 + 1, I63, I64, 0, I65) [I57 <= I60 /\ 0 <= I66 - 1 /\ 0 <= I67 - 1 /\ I62 <= I56 /\ I62 - 1 <= I58 /\ I62 - 1 <= I59 /\ I62 - 1 <= I61 /\ I63 <= I58 /\ I64 <= I58 /\ I65 <= I58 /\ 0 <= I56 - 1 /\ -1 <= I58 - 1 /\ -1 <= I59 - 1 /\ -1 <= I61 - 1 /\ 0 <= I62 - 1 /\ -1 <= I63 - 1 /\ -1 <= I64 - 1 /\ -1 <= I65 - 1] 3.70/3.77 f2#(I68, I69, I70, I71, I72, I73) -> f2#(I74, I69, I75, I76, I77, I78) [I77 + 2 <= I73 /\ I77 + 2 <= I71 /\ -1 <= I78 - 1 /\ -1 <= I76 - 1 /\ -1 <= I75 - 1 /\ 0 <= I74 - 1 /\ 0 <= I73 - 1 /\ 0 <= I71 - 1 /\ -1 <= I70 - 1 /\ 0 <= I68 - 1 /\ I78 + 1 <= I73 /\ I78 + 1 <= I71 /\ I76 + 1 <= I73 /\ I76 + 1 <= I71 /\ I75 <= I70 /\ I74 <= I73 /\ I74 <= I71 /\ I74 - 1 <= I70 /\ I72 <= I77 - 1 /\ I74 <= I68] 3.70/3.77 f2#(I79, I80, I81, I82, I83, I84) -> f2#(I85, I80, I86, I87, I83, I88) [I85 <= I79 /\ I89 <= I83 /\ I85 - 1 <= I81 /\ I85 <= I82 /\ I85 <= I84 /\ I86 <= I81 /\ I87 + 1 <= I82 /\ I87 + 1 <= I84 /\ I88 + 1 <= I82 /\ I88 + 1 <= I84 /\ 0 <= I79 - 1 /\ -1 <= I81 - 1 /\ 0 <= I82 - 1 /\ 0 <= I84 - 1 /\ 0 <= I85 - 1 /\ -1 <= I86 - 1 /\ -1 <= I87 - 1 /\ -1 <= I88 - 1] 3.70/3.77 R = 3.70/3.77 init(x1, x2, x3, x4, x5, x6) -> f3(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6) 3.70/3.77 f5(I0, I1, I2, I3, I4, I5) -> f5(I0, I6, I7, I8, I9, I10) [I6 + 1 <= I1 /\ I0 <= y1 - 1 /\ I6 + 1 <= I2 /\ I7 + 1 <= I1 /\ I7 + 1 <= I2 /\ 0 <= I1 - 1 /\ 0 <= I2 - 1 /\ -1 <= I6 - 1 /\ -1 <= I7 - 1] 3.70/3.77 f5(I11, I12, I13, I14, I15, I16) -> f5(I11, I17, I18, I19, I20, I21) [I17 + 1 <= I12 /\ I22 <= I11 - 1 /\ I17 + 1 <= I13 /\ I18 + 1 <= I12 /\ I18 + 1 <= I13 /\ 0 <= I12 - 1 /\ 0 <= I13 - 1 /\ -1 <= I17 - 1 /\ -1 <= I18 - 1] 3.70/3.77 f2(I23, I24, I25, I26, I27, I28) -> f5(I24, I29, I30, I31, I32, I33) [I24 <= I27 /\ 0 <= I34 - 1 /\ 0 <= y2 - 1 /\ I29 <= I25 /\ I30 <= I25 /\ 0 <= I23 - 1 /\ -1 <= I25 - 1 /\ -1 <= I26 - 1 /\ -1 <= I28 - 1 /\ -1 <= I29 - 1 /\ -1 <= I30 - 1] 3.70/3.77 f4(I35, I36, I37, I38, I39, I40) -> f4(I35 - 1, I36 + 1, I41, I42, I43, I44) [0 <= I36 - 1 /\ 0 <= I35 - 1] 3.70/3.77 f3(I45, I46, I47, I48, I49, I50) -> f4(I51, 1, I52, I53, I54, I55) [0 <= I45 - 1 /\ -1 <= I51 - 1 /\ -1 <= I46 - 1] 3.70/3.77 f2(I56, I57, I58, I59, I60, I61) -> f2(I62, I57 + 1, I63, I64, 0, I65) [I57 <= I60 /\ 0 <= I66 - 1 /\ 0 <= I67 - 1 /\ I62 <= I56 /\ I62 - 1 <= I58 /\ I62 - 1 <= I59 /\ I62 - 1 <= I61 /\ I63 <= I58 /\ I64 <= I58 /\ I65 <= I58 /\ 0 <= I56 - 1 /\ -1 <= I58 - 1 /\ -1 <= I59 - 1 /\ -1 <= I61 - 1 /\ 0 <= I62 - 1 /\ -1 <= I63 - 1 /\ -1 <= I64 - 1 /\ -1 <= I65 - 1] 3.70/3.77 f2(I68, I69, I70, I71, I72, I73) -> f2(I74, I69, I75, I76, I77, I78) [I77 + 2 <= I73 /\ I77 + 2 <= I71 /\ -1 <= I78 - 1 /\ -1 <= I76 - 1 /\ -1 <= I75 - 1 /\ 0 <= I74 - 1 /\ 0 <= I73 - 1 /\ 0 <= I71 - 1 /\ -1 <= I70 - 1 /\ 0 <= I68 - 1 /\ I78 + 1 <= I73 /\ I78 + 1 <= I71 /\ I76 + 1 <= I73 /\ I76 + 1 <= I71 /\ I75 <= I70 /\ I74 <= I73 /\ I74 <= I71 /\ I74 - 1 <= I70 /\ I72 <= I77 - 1 /\ I74 <= I68] 3.70/3.77 f2(I79, I80, I81, I82, I83, I84) -> f2(I85, I80, I86, I87, I83, I88) [I85 <= I79 /\ I89 <= I83 /\ I85 - 1 <= I81 /\ I85 <= I82 /\ I85 <= I84 /\ I86 <= I81 /\ I87 + 1 <= I82 /\ I87 + 1 <= I84 /\ I88 + 1 <= I82 /\ I88 + 1 <= I84 /\ 0 <= I79 - 1 /\ -1 <= I81 - 1 /\ 0 <= I82 - 1 /\ 0 <= I84 - 1 /\ 0 <= I85 - 1 /\ -1 <= I86 - 1 /\ -1 <= I87 - 1 /\ -1 <= I88 - 1] 3.70/3.77 f3(I90, I91, I92, I93, I94, I95) -> f2(I96, 0, I97, I98, 0, I99) [-1 <= I99 - 1 /\ -1 <= I98 - 1 /\ -1 <= I97 - 1 /\ 0 <= I96 - 1 /\ 0 <= I90 - 1 /\ I96 <= I90] 3.70/3.77 f1(I100, I101, I102, I103, I104, I105) -> f2(I106, 0, I107, I108, 0, I109) [-1 <= I109 - 1 /\ -1 <= I108 - 1 /\ -1 <= I107 - 1 /\ 0 <= I106 - 1 /\ -1 <= I101 - 1 /\ 0 <= I100 - 1 /\ I109 <= I101 /\ I108 <= I101 /\ I107 <= I101 /\ I106 - 1 <= I101 /\ I106 <= I100] 3.70/3.77 3.70/6.75 EOF