1.81/1.82 MAYBE 1.81/1.82 1.81/1.82 DP problem for innermost termination. 1.81/1.82 P = 1.81/1.82 init#(x1, x2, x3, x4, x5, x6) -> f1#(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6) 1.81/1.82 f5#(I0, I1, I2, I3, I4, I5) -> f5#(I0, I1, I2, I3 + I1, I2, I3 + I1) [I3 = I5 /\ I2 = I4 /\ I3 <= I2 - 1] 1.81/1.82 f5#(I6, I7, I8, I9, I10, I11) -> f5#(I6, I7, I8 + I6, I9, I8 + I6, I9) [I9 = I11 /\ I8 = I10 /\ I8 <= I9 - 1 /\ I6 <= 0 /\ I8 <= 0] 1.81/1.82 f4#(I12, I13, I14, I15, I16, I17) -> f4#(I12, I13, I14, I15 + I13, I14, I15 + I13) [I15 = I17 /\ I14 = I16 /\ I15 <= I14 - 1 /\ -1 <= I13 - 1 /\ -1 <= I15 - 1] 1.81/1.82 f4#(I18, I19, I20, I21, I22, I23) -> f4#(I18, I19, I20 + I18, I21, I20 + I18, I21) [I21 = I23 /\ I20 = I22 /\ I20 <= I21 - 1 /\ -1 <= I18 - 1 /\ -1 <= I20 - 1] 1.81/1.82 f2#(I24, I25, I26, I27, I28, I29) -> f5#(I30, I31, I32, I33, I34, I35) [-1 <= y1 - 1 /\ 3 <= I25 - 1 /\ -1 <= y2 - 1 /\ -1 <= y3 - 1 /\ y3 - 2 * y4 = 0 /\ y5 - 2 * y6 = 0 /\ -1 <= y5 - 1 /\ 0 <= I24 - 1 /\ 0 <= y3 - 2 * y4 /\ y3 - 2 * y4 <= 1 /\ y5 - 2 * y6 <= 1 /\ 0 <= y5 - 2 * y6 /\ 0 - y1 = I30 /\ 0 - y2 = I31 /\ 0 - y1 = I32 /\ 0 - y2 = I33 /\ 0 - y1 = I34 /\ 0 - y2 = I35] 1.81/1.82 f1#(I36, I37, I38, I39, I40, I41) -> f2#(I36, I37, I42, I43, I44, I45) [-1 <= I46 - 1 /\ 3 <= I37 - 1 /\ -1 <= I47 - 1 /\ -1 <= I48 - 1 /\ I48 - 2 * I49 = 0 /\ I50 - 2 * I51 = 0 /\ -1 <= I50 - 1 /\ 0 <= I36 - 1] 1.81/1.82 f2#(I52, I53, I54, I55, I56, I57) -> f5#(I58, I59, I60, I61, I62, I63) [-1 <= I64 - 1 /\ 3 <= I53 - 1 /\ -1 <= I59 - 1 /\ -1 <= I65 - 1 /\ I65 - 2 * I66 = 0 /\ I67 - 2 * I68 = 1 /\ -1 <= I67 - 1 /\ 0 <= I52 - 1 /\ 0 <= I65 - 2 * I66 /\ I65 - 2 * I66 <= 1 /\ I67 - 2 * I68 <= 1 /\ 0 <= I67 - 2 * I68 /\ 0 - I64 = I58 /\ 0 - I64 = I60 /\ I59 = I61 /\ 0 - I64 = I62 /\ I59 = I63] 1.81/1.82 f1#(I69, I70, I71, I72, I73, I74) -> f2#(I69, I70, I75, I76, I77, I78) [-1 <= I79 - 1 /\ 3 <= I70 - 1 /\ -1 <= I80 - 1 /\ -1 <= I81 - 1 /\ I81 - 2 * I82 = 0 /\ I83 - 2 * I84 = 1 /\ -1 <= I83 - 1 /\ 0 <= I69 - 1] 1.81/1.82 f3#(I85, I86, I87, I88, I89, I90) -> f3#(I85, I86 + I85, I87, I86 + I85, I91, I92) [I86 = I88 /\ I86 <= I87 - 1 /\ I85 <= 0 /\ I86 <= 0] 1.81/1.82 f2#(I93, I94, I95, I96, I97, I98) -> f4#(I99, I100, I101, I102, I103, I104) [-1 <= I99 - 1 /\ 3 <= I94 - 1 /\ -1 <= I100 - 1 /\ -1 <= I105 - 1 /\ I105 - 2 * I106 = 1 /\ I107 - 2 * I108 = 1 /\ -1 <= I107 - 1 /\ 0 <= I93 - 1 /\ 0 <= I105 - 2 * I106 /\ I105 - 2 * I106 <= 1 /\ I107 - 2 * I108 <= 1 /\ 0 <= I107 - 2 * I108 /\ I99 = I101 /\ I100 = I102 /\ I99 = I103 /\ I100 = I104] 1.81/1.82 f1#(I109, I110, I111, I112, I113, I114) -> f2#(I109, I110, I115, I116, I117, I118) [-1 <= I119 - 1 /\ 3 <= I110 - 1 /\ -1 <= I120 - 1 /\ -1 <= I121 - 1 /\ I121 - 2 * I122 = 1 /\ I123 - 2 * I124 = 1 /\ -1 <= I123 - 1 /\ 0 <= I109 - 1] 1.81/1.82 f2#(I125, I126, I127, I128, I129, I130) -> f3#(I131, I132, I133, I134, I135, I136) [-1 <= I133 - 1 /\ 3 <= I126 - 1 /\ -1 <= I137 - 1 /\ -1 <= I138 - 1 /\ I138 - 2 * I139 = 1 /\ I140 - 2 * I141 = 0 /\ -1 <= I140 - 1 /\ 0 <= I125 - 1 /\ 0 <= I138 - 2 * I139 /\ I138 - 2 * I139 <= 1 /\ I140 - 2 * I141 <= 1 /\ 0 <= I140 - 2 * I141 /\ 0 - I137 = I131 /\ 0 - I137 = I132 /\ 0 - I137 = I134] 1.81/1.82 f1#(I142, I143, I144, I145, I146, I147) -> f2#(I142, I143, I148, I149, I150, I151) [-1 <= I152 - 1 /\ 3 <= I143 - 1 /\ -1 <= I153 - 1 /\ -1 <= I154 - 1 /\ I154 - 2 * I155 = 1 /\ I156 - 2 * I157 = 0 /\ -1 <= I156 - 1 /\ 0 <= I142 - 1] 1.81/1.82 R = 1.81/1.82 init(x1, x2, x3, x4, x5, x6) -> f1(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6) 1.81/1.82 f5(I0, I1, I2, I3, I4, I5) -> f5(I0, I1, I2, I3 + I1, I2, I3 + I1) [I3 = I5 /\ I2 = I4 /\ I3 <= I2 - 1] 1.81/1.82 f5(I6, I7, I8, I9, I10, I11) -> f5(I6, I7, I8 + I6, I9, I8 + I6, I9) [I9 = I11 /\ I8 = I10 /\ I8 <= I9 - 1 /\ I6 <= 0 /\ I8 <= 0] 1.81/1.82 f4(I12, I13, I14, I15, I16, I17) -> f4(I12, I13, I14, I15 + I13, I14, I15 + I13) [I15 = I17 /\ I14 = I16 /\ I15 <= I14 - 1 /\ -1 <= I13 - 1 /\ -1 <= I15 - 1] 1.81/1.82 f4(I18, I19, I20, I21, I22, I23) -> f4(I18, I19, I20 + I18, I21, I20 + I18, I21) [I21 = I23 /\ I20 = I22 /\ I20 <= I21 - 1 /\ -1 <= I18 - 1 /\ -1 <= I20 - 1] 1.81/1.82 f2(I24, I25, I26, I27, I28, I29) -> f5(I30, I31, I32, I33, I34, I35) [-1 <= y1 - 1 /\ 3 <= I25 - 1 /\ -1 <= y2 - 1 /\ -1 <= y3 - 1 /\ y3 - 2 * y4 = 0 /\ y5 - 2 * y6 = 0 /\ -1 <= y5 - 1 /\ 0 <= I24 - 1 /\ 0 <= y3 - 2 * y4 /\ y3 - 2 * y4 <= 1 /\ y5 - 2 * y6 <= 1 /\ 0 <= y5 - 2 * y6 /\ 0 - y1 = I30 /\ 0 - y2 = I31 /\ 0 - y1 = I32 /\ 0 - y2 = I33 /\ 0 - y1 = I34 /\ 0 - y2 = I35] 1.81/1.82 f1(I36, I37, I38, I39, I40, I41) -> f2(I36, I37, I42, I43, I44, I45) [-1 <= I46 - 1 /\ 3 <= I37 - 1 /\ -1 <= I47 - 1 /\ -1 <= I48 - 1 /\ I48 - 2 * I49 = 0 /\ I50 - 2 * I51 = 0 /\ -1 <= I50 - 1 /\ 0 <= I36 - 1] 1.81/1.82 f2(I52, I53, I54, I55, I56, I57) -> f5(I58, I59, I60, I61, I62, I63) [-1 <= I64 - 1 /\ 3 <= I53 - 1 /\ -1 <= I59 - 1 /\ -1 <= I65 - 1 /\ I65 - 2 * I66 = 0 /\ I67 - 2 * I68 = 1 /\ -1 <= I67 - 1 /\ 0 <= I52 - 1 /\ 0 <= I65 - 2 * I66 /\ I65 - 2 * I66 <= 1 /\ I67 - 2 * I68 <= 1 /\ 0 <= I67 - 2 * I68 /\ 0 - I64 = I58 /\ 0 - I64 = I60 /\ I59 = I61 /\ 0 - I64 = I62 /\ I59 = I63] 1.81/1.82 f1(I69, I70, I71, I72, I73, I74) -> f2(I69, I70, I75, I76, I77, I78) [-1 <= I79 - 1 /\ 3 <= I70 - 1 /\ -1 <= I80 - 1 /\ -1 <= I81 - 1 /\ I81 - 2 * I82 = 0 /\ I83 - 2 * I84 = 1 /\ -1 <= I83 - 1 /\ 0 <= I69 - 1] 1.81/1.82 f3(I85, I86, I87, I88, I89, I90) -> f3(I85, I86 + I85, I87, I86 + I85, I91, I92) [I86 = I88 /\ I86 <= I87 - 1 /\ I85 <= 0 /\ I86 <= 0] 1.81/1.82 f2(I93, I94, I95, I96, I97, I98) -> f4(I99, I100, I101, I102, I103, I104) [-1 <= I99 - 1 /\ 3 <= I94 - 1 /\ -1 <= I100 - 1 /\ -1 <= I105 - 1 /\ I105 - 2 * I106 = 1 /\ I107 - 2 * I108 = 1 /\ -1 <= I107 - 1 /\ 0 <= I93 - 1 /\ 0 <= I105 - 2 * I106 /\ I105 - 2 * I106 <= 1 /\ I107 - 2 * I108 <= 1 /\ 0 <= I107 - 2 * I108 /\ I99 = I101 /\ I100 = I102 /\ I99 = I103 /\ I100 = I104] 1.81/1.82 f1(I109, I110, I111, I112, I113, I114) -> f2(I109, I110, I115, I116, I117, I118) [-1 <= I119 - 1 /\ 3 <= I110 - 1 /\ -1 <= I120 - 1 /\ -1 <= I121 - 1 /\ I121 - 2 * I122 = 1 /\ I123 - 2 * I124 = 1 /\ -1 <= I123 - 1 /\ 0 <= I109 - 1] 1.81/1.82 f2(I125, I126, I127, I128, I129, I130) -> f3(I131, I132, I133, I134, I135, I136) [-1 <= I133 - 1 /\ 3 <= I126 - 1 /\ -1 <= I137 - 1 /\ -1 <= I138 - 1 /\ I138 - 2 * I139 = 1 /\ I140 - 2 * I141 = 0 /\ -1 <= I140 - 1 /\ 0 <= I125 - 1 /\ 0 <= I138 - 2 * I139 /\ I138 - 2 * I139 <= 1 /\ I140 - 2 * I141 <= 1 /\ 0 <= I140 - 2 * I141 /\ 0 - I137 = I131 /\ 0 - I137 = I132 /\ 0 - I137 = I134] 1.81/1.82 f1(I142, I143, I144, I145, I146, I147) -> f2(I142, I143, I148, I149, I150, I151) [-1 <= I152 - 1 /\ 3 <= I143 - 1 /\ -1 <= I153 - 1 /\ -1 <= I154 - 1 /\ I154 - 2 * I155 = 1 /\ I156 - 2 * I157 = 0 /\ -1 <= I156 - 1 /\ 0 <= I142 - 1] 1.81/1.82 1.81/1.82 The dependency graph for this problem is: 1.81/1.82 0 -> 6, 8, 11, 13 1.81/1.82 1 -> 1, 2 1.81/1.82 2 -> 2 1.81/1.82 3 -> 3, 4 1.81/1.82 4 -> 3, 4 1.81/1.82 5 -> 1, 2 1.81/1.82 6 -> 5, 7, 10, 12 1.81/1.82 7 -> 2 1.81/1.82 8 -> 5, 7, 10, 12 1.81/1.82 9 -> 9 1.81/1.82 10 -> 3, 4 1.81/1.82 11 -> 5, 7, 10, 12 1.81/1.82 12 -> 9 1.81/1.82 13 -> 5, 7, 10, 12 1.81/1.82 Where: 1.81/1.82 0) init#(x1, x2, x3, x4, x5, x6) -> f1#(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6) 1.81/1.82 1) f5#(I0, I1, I2, I3, I4, I5) -> f5#(I0, I1, I2, I3 + I1, I2, I3 + I1) [I3 = I5 /\ I2 = I4 /\ I3 <= I2 - 1] 1.81/1.82 2) f5#(I6, I7, I8, I9, I10, I11) -> f5#(I6, I7, I8 + I6, I9, I8 + I6, I9) [I9 = I11 /\ I8 = I10 /\ I8 <= I9 - 1 /\ I6 <= 0 /\ I8 <= 0] 1.81/1.82 3) f4#(I12, I13, I14, I15, I16, I17) -> f4#(I12, I13, I14, I15 + I13, I14, I15 + I13) [I15 = I17 /\ I14 = I16 /\ I15 <= I14 - 1 /\ -1 <= I13 - 1 /\ -1 <= I15 - 1] 1.81/1.82 4) f4#(I18, I19, I20, I21, I22, I23) -> f4#(I18, I19, I20 + I18, I21, I20 + I18, I21) [I21 = I23 /\ I20 = I22 /\ I20 <= I21 - 1 /\ -1 <= I18 - 1 /\ -1 <= I20 - 1] 1.81/1.82 5) f2#(I24, I25, I26, I27, I28, I29) -> f5#(I30, I31, I32, I33, I34, I35) [-1 <= y1 - 1 /\ 3 <= I25 - 1 /\ -1 <= y2 - 1 /\ -1 <= y3 - 1 /\ y3 - 2 * y4 = 0 /\ y5 - 2 * y6 = 0 /\ -1 <= y5 - 1 /\ 0 <= I24 - 1 /\ 0 <= y3 - 2 * y4 /\ y3 - 2 * y4 <= 1 /\ y5 - 2 * y6 <= 1 /\ 0 <= y5 - 2 * y6 /\ 0 - y1 = I30 /\ 0 - y2 = I31 /\ 0 - y1 = I32 /\ 0 - y2 = I33 /\ 0 - y1 = I34 /\ 0 - y2 = I35] 1.81/1.82 6) f1#(I36, I37, I38, I39, I40, I41) -> f2#(I36, I37, I42, I43, I44, I45) [-1 <= I46 - 1 /\ 3 <= I37 - 1 /\ -1 <= I47 - 1 /\ -1 <= I48 - 1 /\ I48 - 2 * I49 = 0 /\ I50 - 2 * I51 = 0 /\ -1 <= I50 - 1 /\ 0 <= I36 - 1] 1.81/1.82 7) f2#(I52, I53, I54, I55, I56, I57) -> f5#(I58, I59, I60, I61, I62, I63) [-1 <= I64 - 1 /\ 3 <= I53 - 1 /\ -1 <= I59 - 1 /\ -1 <= I65 - 1 /\ I65 - 2 * I66 = 0 /\ I67 - 2 * I68 = 1 /\ -1 <= I67 - 1 /\ 0 <= I52 - 1 /\ 0 <= I65 - 2 * I66 /\ I65 - 2 * I66 <= 1 /\ I67 - 2 * I68 <= 1 /\ 0 <= I67 - 2 * I68 /\ 0 - I64 = I58 /\ 0 - I64 = I60 /\ I59 = I61 /\ 0 - I64 = I62 /\ I59 = I63] 1.81/1.82 8) f1#(I69, I70, I71, I72, I73, I74) -> f2#(I69, I70, I75, I76, I77, I78) [-1 <= I79 - 1 /\ 3 <= I70 - 1 /\ -1 <= I80 - 1 /\ -1 <= I81 - 1 /\ I81 - 2 * I82 = 0 /\ I83 - 2 * I84 = 1 /\ -1 <= I83 - 1 /\ 0 <= I69 - 1] 1.81/1.82 9) f3#(I85, I86, I87, I88, I89, I90) -> f3#(I85, I86 + I85, I87, I86 + I85, I91, I92) [I86 = I88 /\ I86 <= I87 - 1 /\ I85 <= 0 /\ I86 <= 0] 1.81/1.82 10) f2#(I93, I94, I95, I96, I97, I98) -> f4#(I99, I100, I101, I102, I103, I104) [-1 <= I99 - 1 /\ 3 <= I94 - 1 /\ -1 <= I100 - 1 /\ -1 <= I105 - 1 /\ I105 - 2 * I106 = 1 /\ I107 - 2 * I108 = 1 /\ -1 <= I107 - 1 /\ 0 <= I93 - 1 /\ 0 <= I105 - 2 * I106 /\ I105 - 2 * I106 <= 1 /\ I107 - 2 * I108 <= 1 /\ 0 <= I107 - 2 * I108 /\ I99 = I101 /\ I100 = I102 /\ I99 = I103 /\ I100 = I104] 1.81/1.82 11) f1#(I109, I110, I111, I112, I113, I114) -> f2#(I109, I110, I115, I116, I117, I118) [-1 <= I119 - 1 /\ 3 <= I110 - 1 /\ -1 <= I120 - 1 /\ -1 <= I121 - 1 /\ I121 - 2 * I122 = 1 /\ I123 - 2 * I124 = 1 /\ -1 <= I123 - 1 /\ 0 <= I109 - 1] 1.81/1.82 12) f2#(I125, I126, I127, I128, I129, I130) -> f3#(I131, I132, I133, I134, I135, I136) [-1 <= I133 - 1 /\ 3 <= I126 - 1 /\ -1 <= I137 - 1 /\ -1 <= I138 - 1 /\ I138 - 2 * I139 = 1 /\ I140 - 2 * I141 = 0 /\ -1 <= I140 - 1 /\ 0 <= I125 - 1 /\ 0 <= I138 - 2 * I139 /\ I138 - 2 * I139 <= 1 /\ I140 - 2 * I141 <= 1 /\ 0 <= I140 - 2 * I141 /\ 0 - I137 = I131 /\ 0 - I137 = I132 /\ 0 - I137 = I134] 1.81/1.82 13) f1#(I142, I143, I144, I145, I146, I147) -> f2#(I142, I143, I148, I149, I150, I151) [-1 <= I152 - 1 /\ 3 <= I143 - 1 /\ -1 <= I153 - 1 /\ -1 <= I154 - 1 /\ I154 - 2 * I155 = 1 /\ I156 - 2 * I157 = 0 /\ -1 <= I156 - 1 /\ 0 <= I142 - 1] 1.81/1.82 1.81/1.82 We have the following SCCs. 1.81/1.82 { 9 } 1.81/1.82 { 3, 4 } 1.81/1.82 { 1 } 1.81/1.82 { 2 } 1.81/1.82 1.81/1.82 DP problem for innermost termination. 1.81/1.82 P = 1.81/1.82 f5#(I6, I7, I8, I9, I10, I11) -> f5#(I6, I7, I8 + I6, I9, I8 + I6, I9) [I9 = I11 /\ I8 = I10 /\ I8 <= I9 - 1 /\ I6 <= 0 /\ I8 <= 0] 1.81/1.82 R = 1.81/1.82 init(x1, x2, x3, x4, x5, x6) -> f1(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6) 1.81/1.82 f5(I0, I1, I2, I3, I4, I5) -> f5(I0, I1, I2, I3 + I1, I2, I3 + I1) [I3 = I5 /\ I2 = I4 /\ I3 <= I2 - 1] 1.81/1.82 f5(I6, I7, I8, I9, I10, I11) -> f5(I6, I7, I8 + I6, I9, I8 + I6, I9) [I9 = I11 /\ I8 = I10 /\ I8 <= I9 - 1 /\ I6 <= 0 /\ I8 <= 0] 1.81/1.82 f4(I12, I13, I14, I15, I16, I17) -> f4(I12, I13, I14, I15 + I13, I14, I15 + I13) [I15 = I17 /\ I14 = I16 /\ I15 <= I14 - 1 /\ -1 <= I13 - 1 /\ -1 <= I15 - 1] 1.81/1.82 f4(I18, I19, I20, I21, I22, I23) -> f4(I18, I19, I20 + I18, I21, I20 + I18, I21) [I21 = I23 /\ I20 = I22 /\ I20 <= I21 - 1 /\ -1 <= I18 - 1 /\ -1 <= I20 - 1] 1.81/1.82 f2(I24, I25, I26, I27, I28, I29) -> f5(I30, I31, I32, I33, I34, I35) [-1 <= y1 - 1 /\ 3 <= I25 - 1 /\ -1 <= y2 - 1 /\ -1 <= y3 - 1 /\ y3 - 2 * y4 = 0 /\ y5 - 2 * y6 = 0 /\ -1 <= y5 - 1 /\ 0 <= I24 - 1 /\ 0 <= y3 - 2 * y4 /\ y3 - 2 * y4 <= 1 /\ y5 - 2 * y6 <= 1 /\ 0 <= y5 - 2 * y6 /\ 0 - y1 = I30 /\ 0 - y2 = I31 /\ 0 - y1 = I32 /\ 0 - y2 = I33 /\ 0 - y1 = I34 /\ 0 - y2 = I35] 1.81/1.82 f1(I36, I37, I38, I39, I40, I41) -> f2(I36, I37, I42, I43, I44, I45) [-1 <= I46 - 1 /\ 3 <= I37 - 1 /\ -1 <= I47 - 1 /\ -1 <= I48 - 1 /\ I48 - 2 * I49 = 0 /\ I50 - 2 * I51 = 0 /\ -1 <= I50 - 1 /\ 0 <= I36 - 1] 1.81/1.82 f2(I52, I53, I54, I55, I56, I57) -> f5(I58, I59, I60, I61, I62, I63) [-1 <= I64 - 1 /\ 3 <= I53 - 1 /\ -1 <= I59 - 1 /\ -1 <= I65 - 1 /\ I65 - 2 * I66 = 0 /\ I67 - 2 * I68 = 1 /\ -1 <= I67 - 1 /\ 0 <= I52 - 1 /\ 0 <= I65 - 2 * I66 /\ I65 - 2 * I66 <= 1 /\ I67 - 2 * I68 <= 1 /\ 0 <= I67 - 2 * I68 /\ 0 - I64 = I58 /\ 0 - I64 = I60 /\ I59 = I61 /\ 0 - I64 = I62 /\ I59 = I63] 1.81/1.82 f1(I69, I70, I71, I72, I73, I74) -> f2(I69, I70, I75, I76, I77, I78) [-1 <= I79 - 1 /\ 3 <= I70 - 1 /\ -1 <= I80 - 1 /\ -1 <= I81 - 1 /\ I81 - 2 * I82 = 0 /\ I83 - 2 * I84 = 1 /\ -1 <= I83 - 1 /\ 0 <= I69 - 1] 1.81/1.82 f3(I85, I86, I87, I88, I89, I90) -> f3(I85, I86 + I85, I87, I86 + I85, I91, I92) [I86 = I88 /\ I86 <= I87 - 1 /\ I85 <= 0 /\ I86 <= 0] 1.81/1.82 f2(I93, I94, I95, I96, I97, I98) -> f4(I99, I100, I101, I102, I103, I104) [-1 <= I99 - 1 /\ 3 <= I94 - 1 /\ -1 <= I100 - 1 /\ -1 <= I105 - 1 /\ I105 - 2 * I106 = 1 /\ I107 - 2 * I108 = 1 /\ -1 <= I107 - 1 /\ 0 <= I93 - 1 /\ 0 <= I105 - 2 * I106 /\ I105 - 2 * I106 <= 1 /\ I107 - 2 * I108 <= 1 /\ 0 <= I107 - 2 * I108 /\ I99 = I101 /\ I100 = I102 /\ I99 = I103 /\ I100 = I104] 1.81/1.82 f1(I109, I110, I111, I112, I113, I114) -> f2(I109, I110, I115, I116, I117, I118) [-1 <= I119 - 1 /\ 3 <= I110 - 1 /\ -1 <= I120 - 1 /\ -1 <= I121 - 1 /\ I121 - 2 * I122 = 1 /\ I123 - 2 * I124 = 1 /\ -1 <= I123 - 1 /\ 0 <= I109 - 1] 1.81/1.82 f2(I125, I126, I127, I128, I129, I130) -> f3(I131, I132, I133, I134, I135, I136) [-1 <= I133 - 1 /\ 3 <= I126 - 1 /\ -1 <= I137 - 1 /\ -1 <= I138 - 1 /\ I138 - 2 * I139 = 1 /\ I140 - 2 * I141 = 0 /\ -1 <= I140 - 1 /\ 0 <= I125 - 1 /\ 0 <= I138 - 2 * I139 /\ I138 - 2 * I139 <= 1 /\ I140 - 2 * I141 <= 1 /\ 0 <= I140 - 2 * I141 /\ 0 - I137 = I131 /\ 0 - I137 = I132 /\ 0 - I137 = I134] 1.81/1.82 f1(I142, I143, I144, I145, I146, I147) -> f2(I142, I143, I148, I149, I150, I151) [-1 <= I152 - 1 /\ 3 <= I143 - 1 /\ -1 <= I153 - 1 /\ -1 <= I154 - 1 /\ I154 - 2 * I155 = 1 /\ I156 - 2 * I157 = 0 /\ -1 <= I156 - 1 /\ 0 <= I142 - 1] 1.81/1.82 1.81/4.80 EOF