12.45/12.52 MAYBE 12.45/12.52 12.45/12.52 DP problem for innermost termination. 12.45/12.52 P = 12.45/12.52 init#(x1, x2, x3, x4, x5, x6) -> f1#(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6) 12.45/12.52 f7#(I0, I1, I2, I3, I4, I5) -> f7#(I6, I1, I2, I7, I8, I9) [I7 + 4 <= I0 /\ I3 + 2 <= I0 /\ 0 <= I6 - 1 /\ 2 <= I0 - 1 /\ I6 + 2 <= I0 /\ I1 <= I3 /\ 1 <= I2 - 1] 12.45/12.52 f7#(I10, I11, I12, I13, I14, I15) -> f7#(I16, I11, I12, I17, I18, I19) [I17 + 4 <= I10 /\ I13 + 2 <= I10 /\ 0 <= I16 - 1 /\ 2 <= I10 - 1 /\ I16 + 2 <= I10 /\ I13 <= I11 - 1 /\ 1 <= I12 - 1] 12.45/12.52 f4#(I20, I21, I22, I23, I24, I25) -> f7#(I26, I27, I23, I25, I28, I29) [I25 + 2 <= I20 /\ 0 <= I26 - 1 /\ 0 <= I20 - 1 /\ I26 <= I20 /\ I24 <= I23 - 1 /\ -1 <= I27 - 1 /\ 1 <= I23 - 1 /\ 0 <= I22 - 1 /\ I21 <= I22 - 1 /\ -1 <= I24 - 1] 12.45/12.52 f5#(I30, I31, I32, I33, I34, I35) -> f6#(I36, I37, I38, I39, I40, I41) [-1 <= I36 - 1 /\ 0 <= I31 - 1 /\ -1 <= I30 - 1 /\ I36 <= I30] 12.45/12.52 f6#(I42, I43, I44, I45, I46, I47) -> f5#(I48, I49, I50, I51, I52, I53) [-1 <= I49 - 1 /\ -1 <= I48 - 1 /\ 0 <= I42 - 1 /\ I49 + 1 <= I42 /\ I48 + 1 <= I42] 12.45/12.52 f5#(I54, I55, I56, I57, I58, I59) -> f5#(I60, I61, I62, I63, I64, I65) [-1 <= I61 - 1 /\ -1 <= I60 - 1 /\ 0 <= I55 - 1 /\ -1 <= I54 - 1 /\ I61 + 1 <= I55 /\ I60 + 1 <= I55] 12.45/12.52 f5#(I66, I67, I68, I69, I70, I71) -> f6#(I72, I73, I74, I75, I76, I77) [-1 <= I72 - 1 /\ -1 <= I67 - 1 /\ -1 <= I66 - 1 /\ I72 <= I66] 12.45/12.52 f2#(I78, I79, I80, I81, I82, I83) -> f5#(I84, I85, I86, I87, I88, I89) [I84 + 1 <= I79 /\ 1 <= y1 - 1 /\ I84 <= I81 /\ I85 + 1 <= I79 /\ I85 <= I80 /\ 0 <= I78 - 1 /\ 0 <= I79 - 1 /\ -1 <= I80 - 1 /\ -1 <= I81 - 1 /\ -1 <= I84 - 1 /\ -1 <= I85 - 1 /\ I82 + 2 <= I79] 12.45/12.52 f4#(I90, I91, I92, I93, I94, I95) -> f4#(I96, I91 + 1, I92, I93, I94 + 1, I97) [-1 <= I94 - 1 /\ I91 <= I92 - 1 /\ 0 <= I92 - 1 /\ 1 <= I93 - 1 /\ -1 <= I98 - 1 /\ I94 <= I93 - 1 /\ 0 <= I90 - 1 /\ 2 <= I96 - 1 /\ I95 + 2 <= I90] 12.45/12.52 f4#(I99, I100, I101, I102, I103, I104) -> f4#(I105, I100 + 1, I101, I102, I103 + 1, I106) [-1 <= I103 - 1 /\ I100 <= I101 - 1 /\ 0 <= I101 - 1 /\ 1 <= I102 - 1 /\ -1 <= I107 - 1 /\ I103 <= I102 - 1 /\ 0 <= I99 - 1 /\ 2 <= I105 - 1 /\ I104 + 2 <= I99] 12.45/12.52 f4#(I108, I109, I110, I111, I112, I113) -> f4#(I114, I109 + 1, I110, I111, I112 + 1, I115) [-1 <= I112 - 1 /\ I109 <= I110 - 1 /\ 0 <= I110 - 1 /\ 1 <= I111 - 1 /\ -1 <= I116 - 1 /\ I112 <= I111 - 1 /\ 0 <= I108 - 1 /\ 3 <= I114 - 1 /\ I113 + 2 <= I108] 12.45/12.52 f4#(I117, I118, I119, I120, I121, I122) -> f4#(I123, I118 + 1, I119, I120, I121 + 1, I124) [-1 <= I121 - 1 /\ I118 <= I119 - 1 /\ 0 <= I119 - 1 /\ 1 <= I120 - 1 /\ -1 <= I125 - 1 /\ I121 <= I120 - 1 /\ 0 <= I117 - 1 /\ 3 <= I123 - 1 /\ I122 + 2 <= I117] 12.45/12.52 f1#(I126, I127, I128, I129, I130, I131) -> f4#(I132, 0, I133, I127, 2, I134) [1 <= I132 - 1 /\ 0 <= I126 - 1 /\ -1 <= I133 - 1 /\ 1 <= I127 - 1 /\ -1 <= I134 - 1] 12.45/12.52 f3#(I135, I136, I137, I138, I139, I140) -> f2#(I141, I142, I143, I144, I139, I145) [I139 + 2 <= I136 /\ -1 <= I144 - 1 /\ -1 <= I143 - 1 /\ 0 <= I142 - 1 /\ 0 <= I141 - 1 /\ -1 <= I138 - 1 /\ -1 <= I137 - 1 /\ 0 <= I136 - 1 /\ 0 <= I135 - 1 /\ I144 <= I138 /\ I144 + 1 <= I136 /\ I143 <= I137 /\ I143 + 1 <= I136 /\ I142 <= I136 /\ I141 - 1 <= I138 /\ I141 - 1 <= I137 /\ I141 <= I136 /\ I141 <= I135] 12.45/12.52 f1#(I146, I147, I148, I149, I150, I151) -> f2#(I152, I153, I154, I155, I156, I157) [-1 <= I158 - 1 /\ 0 <= I147 - 1 /\ I152 <= I146 /\ 0 <= I146 - 1 /\ 0 <= I152 - 1 /\ 0 <= I153 - 1 /\ -1 <= I154 - 1 /\ -1 <= I155 - 1] 12.45/12.52 R = 12.45/12.52 init(x1, x2, x3, x4, x5, x6) -> f1(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6) 12.45/12.52 f7(I0, I1, I2, I3, I4, I5) -> f7(I6, I1, I2, I7, I8, I9) [I7 + 4 <= I0 /\ I3 + 2 <= I0 /\ 0 <= I6 - 1 /\ 2 <= I0 - 1 /\ I6 + 2 <= I0 /\ I1 <= I3 /\ 1 <= I2 - 1] 12.45/12.52 f7(I10, I11, I12, I13, I14, I15) -> f7(I16, I11, I12, I17, I18, I19) [I17 + 4 <= I10 /\ I13 + 2 <= I10 /\ 0 <= I16 - 1 /\ 2 <= I10 - 1 /\ I16 + 2 <= I10 /\ I13 <= I11 - 1 /\ 1 <= I12 - 1] 12.45/12.52 f4(I20, I21, I22, I23, I24, I25) -> f7(I26, I27, I23, I25, I28, I29) [I25 + 2 <= I20 /\ 0 <= I26 - 1 /\ 0 <= I20 - 1 /\ I26 <= I20 /\ I24 <= I23 - 1 /\ -1 <= I27 - 1 /\ 1 <= I23 - 1 /\ 0 <= I22 - 1 /\ I21 <= I22 - 1 /\ -1 <= I24 - 1] 12.45/12.52 f5(I30, I31, I32, I33, I34, I35) -> f6(I36, I37, I38, I39, I40, I41) [-1 <= I36 - 1 /\ 0 <= I31 - 1 /\ -1 <= I30 - 1 /\ I36 <= I30] 12.45/12.52 f6(I42, I43, I44, I45, I46, I47) -> f5(I48, I49, I50, I51, I52, I53) [-1 <= I49 - 1 /\ -1 <= I48 - 1 /\ 0 <= I42 - 1 /\ I49 + 1 <= I42 /\ I48 + 1 <= I42] 12.45/12.52 f5(I54, I55, I56, I57, I58, I59) -> f5(I60, I61, I62, I63, I64, I65) [-1 <= I61 - 1 /\ -1 <= I60 - 1 /\ 0 <= I55 - 1 /\ -1 <= I54 - 1 /\ I61 + 1 <= I55 /\ I60 + 1 <= I55] 12.45/12.52 f5(I66, I67, I68, I69, I70, I71) -> f6(I72, I73, I74, I75, I76, I77) [-1 <= I72 - 1 /\ -1 <= I67 - 1 /\ -1 <= I66 - 1 /\ I72 <= I66] 12.45/12.52 f2(I78, I79, I80, I81, I82, I83) -> f5(I84, I85, I86, I87, I88, I89) [I84 + 1 <= I79 /\ 1 <= y1 - 1 /\ I84 <= I81 /\ I85 + 1 <= I79 /\ I85 <= I80 /\ 0 <= I78 - 1 /\ 0 <= I79 - 1 /\ -1 <= I80 - 1 /\ -1 <= I81 - 1 /\ -1 <= I84 - 1 /\ -1 <= I85 - 1 /\ I82 + 2 <= I79] 12.45/12.52 f4(I90, I91, I92, I93, I94, I95) -> f4(I96, I91 + 1, I92, I93, I94 + 1, I97) [-1 <= I94 - 1 /\ I91 <= I92 - 1 /\ 0 <= I92 - 1 /\ 1 <= I93 - 1 /\ -1 <= I98 - 1 /\ I94 <= I93 - 1 /\ 0 <= I90 - 1 /\ 2 <= I96 - 1 /\ I95 + 2 <= I90] 12.45/12.52 f4(I99, I100, I101, I102, I103, I104) -> f4(I105, I100 + 1, I101, I102, I103 + 1, I106) [-1 <= I103 - 1 /\ I100 <= I101 - 1 /\ 0 <= I101 - 1 /\ 1 <= I102 - 1 /\ -1 <= I107 - 1 /\ I103 <= I102 - 1 /\ 0 <= I99 - 1 /\ 2 <= I105 - 1 /\ I104 + 2 <= I99] 12.45/12.52 f4(I108, I109, I110, I111, I112, I113) -> f4(I114, I109 + 1, I110, I111, I112 + 1, I115) [-1 <= I112 - 1 /\ I109 <= I110 - 1 /\ 0 <= I110 - 1 /\ 1 <= I111 - 1 /\ -1 <= I116 - 1 /\ I112 <= I111 - 1 /\ 0 <= I108 - 1 /\ 3 <= I114 - 1 /\ I113 + 2 <= I108] 12.45/12.52 f4(I117, I118, I119, I120, I121, I122) -> f4(I123, I118 + 1, I119, I120, I121 + 1, I124) [-1 <= I121 - 1 /\ I118 <= I119 - 1 /\ 0 <= I119 - 1 /\ 1 <= I120 - 1 /\ -1 <= I125 - 1 /\ I121 <= I120 - 1 /\ 0 <= I117 - 1 /\ 3 <= I123 - 1 /\ I122 + 2 <= I117] 12.45/12.52 f1(I126, I127, I128, I129, I130, I131) -> f4(I132, 0, I133, I127, 2, I134) [1 <= I132 - 1 /\ 0 <= I126 - 1 /\ -1 <= I133 - 1 /\ 1 <= I127 - 1 /\ -1 <= I134 - 1] 12.45/12.52 f3(I135, I136, I137, I138, I139, I140) -> f2(I141, I142, I143, I144, I139, I145) [I139 + 2 <= I136 /\ -1 <= I144 - 1 /\ -1 <= I143 - 1 /\ 0 <= I142 - 1 /\ 0 <= I141 - 1 /\ -1 <= I138 - 1 /\ -1 <= I137 - 1 /\ 0 <= I136 - 1 /\ 0 <= I135 - 1 /\ I144 <= I138 /\ I144 + 1 <= I136 /\ I143 <= I137 /\ I143 + 1 <= I136 /\ I142 <= I136 /\ I141 - 1 <= I138 /\ I141 - 1 <= I137 /\ I141 <= I136 /\ I141 <= I135] 12.45/12.52 f1(I146, I147, I148, I149, I150, I151) -> f2(I152, I153, I154, I155, I156, I157) [-1 <= I158 - 1 /\ 0 <= I147 - 1 /\ I152 <= I146 /\ 0 <= I146 - 1 /\ 0 <= I152 - 1 /\ 0 <= I153 - 1 /\ -1 <= I154 - 1 /\ -1 <= I155 - 1] 12.45/12.52 12.45/12.52 The dependency graph for this problem is: 12.45/12.52 0 -> 13, 15 12.45/12.52 1 -> 1, 2 12.45/12.52 2 -> 1, 2 12.45/12.52 3 -> 1, 2 12.45/12.52 4 -> 5 12.45/12.52 5 -> 4, 6, 7 12.45/12.52 6 -> 4, 6, 7 12.45/12.52 7 -> 5 12.45/12.52 8 -> 4, 6, 7 12.45/12.52 9 -> 3, 9, 10, 11, 12 12.45/12.52 10 -> 3, 9, 10, 11, 12 12.45/12.52 11 -> 3, 9, 10, 11, 12 12.45/12.52 12 -> 3, 9, 10, 11, 12 12.45/12.52 13 -> 3, 9, 10, 11, 12 12.45/12.52 14 -> 8 12.45/12.52 15 -> 8 12.45/12.52 Where: 12.45/12.52 0) init#(x1, x2, x3, x4, x5, x6) -> f1#(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6) 12.45/12.52 1) f7#(I0, I1, I2, I3, I4, I5) -> f7#(I6, I1, I2, I7, I8, I9) [I7 + 4 <= I0 /\ I3 + 2 <= I0 /\ 0 <= I6 - 1 /\ 2 <= I0 - 1 /\ I6 + 2 <= I0 /\ I1 <= I3 /\ 1 <= I2 - 1] 12.45/12.52 2) f7#(I10, I11, I12, I13, I14, I15) -> f7#(I16, I11, I12, I17, I18, I19) [I17 + 4 <= I10 /\ I13 + 2 <= I10 /\ 0 <= I16 - 1 /\ 2 <= I10 - 1 /\ I16 + 2 <= I10 /\ I13 <= I11 - 1 /\ 1 <= I12 - 1] 12.45/12.52 3) f4#(I20, I21, I22, I23, I24, I25) -> f7#(I26, I27, I23, I25, I28, I29) [I25 + 2 <= I20 /\ 0 <= I26 - 1 /\ 0 <= I20 - 1 /\ I26 <= I20 /\ I24 <= I23 - 1 /\ -1 <= I27 - 1 /\ 1 <= I23 - 1 /\ 0 <= I22 - 1 /\ I21 <= I22 - 1 /\ -1 <= I24 - 1] 12.45/12.52 4) f5#(I30, I31, I32, I33, I34, I35) -> f6#(I36, I37, I38, I39, I40, I41) [-1 <= I36 - 1 /\ 0 <= I31 - 1 /\ -1 <= I30 - 1 /\ I36 <= I30] 12.45/12.52 5) f6#(I42, I43, I44, I45, I46, I47) -> f5#(I48, I49, I50, I51, I52, I53) [-1 <= I49 - 1 /\ -1 <= I48 - 1 /\ 0 <= I42 - 1 /\ I49 + 1 <= I42 /\ I48 + 1 <= I42] 12.45/12.52 6) f5#(I54, I55, I56, I57, I58, I59) -> f5#(I60, I61, I62, I63, I64, I65) [-1 <= I61 - 1 /\ -1 <= I60 - 1 /\ 0 <= I55 - 1 /\ -1 <= I54 - 1 /\ I61 + 1 <= I55 /\ I60 + 1 <= I55] 12.45/12.52 7) f5#(I66, I67, I68, I69, I70, I71) -> f6#(I72, I73, I74, I75, I76, I77) [-1 <= I72 - 1 /\ -1 <= I67 - 1 /\ -1 <= I66 - 1 /\ I72 <= I66] 12.45/12.52 8) f2#(I78, I79, I80, I81, I82, I83) -> f5#(I84, I85, I86, I87, I88, I89) [I84 + 1 <= I79 /\ 1 <= y1 - 1 /\ I84 <= I81 /\ I85 + 1 <= I79 /\ I85 <= I80 /\ 0 <= I78 - 1 /\ 0 <= I79 - 1 /\ -1 <= I80 - 1 /\ -1 <= I81 - 1 /\ -1 <= I84 - 1 /\ -1 <= I85 - 1 /\ I82 + 2 <= I79] 12.45/12.52 9) f4#(I90, I91, I92, I93, I94, I95) -> f4#(I96, I91 + 1, I92, I93, I94 + 1, I97) [-1 <= I94 - 1 /\ I91 <= I92 - 1 /\ 0 <= I92 - 1 /\ 1 <= I93 - 1 /\ -1 <= I98 - 1 /\ I94 <= I93 - 1 /\ 0 <= I90 - 1 /\ 2 <= I96 - 1 /\ I95 + 2 <= I90] 12.45/12.52 10) f4#(I99, I100, I101, I102, I103, I104) -> f4#(I105, I100 + 1, I101, I102, I103 + 1, I106) [-1 <= I103 - 1 /\ I100 <= I101 - 1 /\ 0 <= I101 - 1 /\ 1 <= I102 - 1 /\ -1 <= I107 - 1 /\ I103 <= I102 - 1 /\ 0 <= I99 - 1 /\ 2 <= I105 - 1 /\ I104 + 2 <= I99] 12.45/12.52 11) f4#(I108, I109, I110, I111, I112, I113) -> f4#(I114, I109 + 1, I110, I111, I112 + 1, I115) [-1 <= I112 - 1 /\ I109 <= I110 - 1 /\ 0 <= I110 - 1 /\ 1 <= I111 - 1 /\ -1 <= I116 - 1 /\ I112 <= I111 - 1 /\ 0 <= I108 - 1 /\ 3 <= I114 - 1 /\ I113 + 2 <= I108] 12.45/12.52 12) f4#(I117, I118, I119, I120, I121, I122) -> f4#(I123, I118 + 1, I119, I120, I121 + 1, I124) [-1 <= I121 - 1 /\ I118 <= I119 - 1 /\ 0 <= I119 - 1 /\ 1 <= I120 - 1 /\ -1 <= I125 - 1 /\ I121 <= I120 - 1 /\ 0 <= I117 - 1 /\ 3 <= I123 - 1 /\ I122 + 2 <= I117] 12.45/12.52 13) f1#(I126, I127, I128, I129, I130, I131) -> f4#(I132, 0, I133, I127, 2, I134) [1 <= I132 - 1 /\ 0 <= I126 - 1 /\ -1 <= I133 - 1 /\ 1 <= I127 - 1 /\ -1 <= I134 - 1] 12.45/12.52 14) f3#(I135, I136, I137, I138, I139, I140) -> f2#(I141, I142, I143, I144, I139, I145) [I139 + 2 <= I136 /\ -1 <= I144 - 1 /\ -1 <= I143 - 1 /\ 0 <= I142 - 1 /\ 0 <= I141 - 1 /\ -1 <= I138 - 1 /\ -1 <= I137 - 1 /\ 0 <= I136 - 1 /\ 0 <= I135 - 1 /\ I144 <= I138 /\ I144 + 1 <= I136 /\ I143 <= I137 /\ I143 + 1 <= I136 /\ I142 <= I136 /\ I141 - 1 <= I138 /\ I141 - 1 <= I137 /\ I141 <= I136 /\ I141 <= I135] 12.45/12.52 15) f1#(I146, I147, I148, I149, I150, I151) -> f2#(I152, I153, I154, I155, I156, I157) [-1 <= I158 - 1 /\ 0 <= I147 - 1 /\ I152 <= I146 /\ 0 <= I146 - 1 /\ 0 <= I152 - 1 /\ 0 <= I153 - 1 /\ -1 <= I154 - 1 /\ -1 <= I155 - 1] 12.45/12.52 12.45/12.52 We have the following SCCs. 12.45/12.52 { 9, 10, 11, 12 } 12.45/12.52 { 1, 2 } 12.45/12.52 { 4, 5, 6, 7 } 12.45/12.52 12.45/12.52 DP problem for innermost termination. 12.45/12.52 P = 12.45/12.52 f5#(I30, I31, I32, I33, I34, I35) -> f6#(I36, I37, I38, I39, I40, I41) [-1 <= I36 - 1 /\ 0 <= I31 - 1 /\ -1 <= I30 - 1 /\ I36 <= I30] 12.45/12.52 f6#(I42, I43, I44, I45, I46, I47) -> f5#(I48, I49, I50, I51, I52, I53) [-1 <= I49 - 1 /\ -1 <= I48 - 1 /\ 0 <= I42 - 1 /\ I49 + 1 <= I42 /\ I48 + 1 <= I42] 12.45/12.52 f5#(I54, I55, I56, I57, I58, I59) -> f5#(I60, I61, I62, I63, I64, I65) [-1 <= I61 - 1 /\ -1 <= I60 - 1 /\ 0 <= I55 - 1 /\ -1 <= I54 - 1 /\ I61 + 1 <= I55 /\ I60 + 1 <= I55] 12.45/12.52 f5#(I66, I67, I68, I69, I70, I71) -> f6#(I72, I73, I74, I75, I76, I77) [-1 <= I72 - 1 /\ -1 <= I67 - 1 /\ -1 <= I66 - 1 /\ I72 <= I66] 12.45/12.52 R = 12.45/12.52 init(x1, x2, x3, x4, x5, x6) -> f1(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6) 12.45/12.52 f7(I0, I1, I2, I3, I4, I5) -> f7(I6, I1, I2, I7, I8, I9) [I7 + 4 <= I0 /\ I3 + 2 <= I0 /\ 0 <= I6 - 1 /\ 2 <= I0 - 1 /\ I6 + 2 <= I0 /\ I1 <= I3 /\ 1 <= I2 - 1] 12.45/12.52 f7(I10, I11, I12, I13, I14, I15) -> f7(I16, I11, I12, I17, I18, I19) [I17 + 4 <= I10 /\ I13 + 2 <= I10 /\ 0 <= I16 - 1 /\ 2 <= I10 - 1 /\ I16 + 2 <= I10 /\ I13 <= I11 - 1 /\ 1 <= I12 - 1] 12.45/12.52 f4(I20, I21, I22, I23, I24, I25) -> f7(I26, I27, I23, I25, I28, I29) [I25 + 2 <= I20 /\ 0 <= I26 - 1 /\ 0 <= I20 - 1 /\ I26 <= I20 /\ I24 <= I23 - 1 /\ -1 <= I27 - 1 /\ 1 <= I23 - 1 /\ 0 <= I22 - 1 /\ I21 <= I22 - 1 /\ -1 <= I24 - 1] 12.45/12.52 f5(I30, I31, I32, I33, I34, I35) -> f6(I36, I37, I38, I39, I40, I41) [-1 <= I36 - 1 /\ 0 <= I31 - 1 /\ -1 <= I30 - 1 /\ I36 <= I30] 12.45/12.52 f6(I42, I43, I44, I45, I46, I47) -> f5(I48, I49, I50, I51, I52, I53) [-1 <= I49 - 1 /\ -1 <= I48 - 1 /\ 0 <= I42 - 1 /\ I49 + 1 <= I42 /\ I48 + 1 <= I42] 12.45/12.52 f5(I54, I55, I56, I57, I58, I59) -> f5(I60, I61, I62, I63, I64, I65) [-1 <= I61 - 1 /\ -1 <= I60 - 1 /\ 0 <= I55 - 1 /\ -1 <= I54 - 1 /\ I61 + 1 <= I55 /\ I60 + 1 <= I55] 12.45/12.52 f5(I66, I67, I68, I69, I70, I71) -> f6(I72, I73, I74, I75, I76, I77) [-1 <= I72 - 1 /\ -1 <= I67 - 1 /\ -1 <= I66 - 1 /\ I72 <= I66] 12.45/12.52 f2(I78, I79, I80, I81, I82, I83) -> f5(I84, I85, I86, I87, I88, I89) [I84 + 1 <= I79 /\ 1 <= y1 - 1 /\ I84 <= I81 /\ I85 + 1 <= I79 /\ I85 <= I80 /\ 0 <= I78 - 1 /\ 0 <= I79 - 1 /\ -1 <= I80 - 1 /\ -1 <= I81 - 1 /\ -1 <= I84 - 1 /\ -1 <= I85 - 1 /\ I82 + 2 <= I79] 12.45/12.52 f4(I90, I91, I92, I93, I94, I95) -> f4(I96, I91 + 1, I92, I93, I94 + 1, I97) [-1 <= I94 - 1 /\ I91 <= I92 - 1 /\ 0 <= I92 - 1 /\ 1 <= I93 - 1 /\ -1 <= I98 - 1 /\ I94 <= I93 - 1 /\ 0 <= I90 - 1 /\ 2 <= I96 - 1 /\ I95 + 2 <= I90] 12.45/12.52 f4(I99, I100, I101, I102, I103, I104) -> f4(I105, I100 + 1, I101, I102, I103 + 1, I106) [-1 <= I103 - 1 /\ I100 <= I101 - 1 /\ 0 <= I101 - 1 /\ 1 <= I102 - 1 /\ -1 <= I107 - 1 /\ I103 <= I102 - 1 /\ 0 <= I99 - 1 /\ 2 <= I105 - 1 /\ I104 + 2 <= I99] 12.45/12.52 f4(I108, I109, I110, I111, I112, I113) -> f4(I114, I109 + 1, I110, I111, I112 + 1, I115) [-1 <= I112 - 1 /\ I109 <= I110 - 1 /\ 0 <= I110 - 1 /\ 1 <= I111 - 1 /\ -1 <= I116 - 1 /\ I112 <= I111 - 1 /\ 0 <= I108 - 1 /\ 3 <= I114 - 1 /\ I113 + 2 <= I108] 12.45/12.52 f4(I117, I118, I119, I120, I121, I122) -> f4(I123, I118 + 1, I119, I120, I121 + 1, I124) [-1 <= I121 - 1 /\ I118 <= I119 - 1 /\ 0 <= I119 - 1 /\ 1 <= I120 - 1 /\ -1 <= I125 - 1 /\ I121 <= I120 - 1 /\ 0 <= I117 - 1 /\ 3 <= I123 - 1 /\ I122 + 2 <= I117] 12.45/12.52 f1(I126, I127, I128, I129, I130, I131) -> f4(I132, 0, I133, I127, 2, I134) [1 <= I132 - 1 /\ 0 <= I126 - 1 /\ -1 <= I133 - 1 /\ 1 <= I127 - 1 /\ -1 <= I134 - 1] 12.45/12.52 f3(I135, I136, I137, I138, I139, I140) -> f2(I141, I142, I143, I144, I139, I145) [I139 + 2 <= I136 /\ -1 <= I144 - 1 /\ -1 <= I143 - 1 /\ 0 <= I142 - 1 /\ 0 <= I141 - 1 /\ -1 <= I138 - 1 /\ -1 <= I137 - 1 /\ 0 <= I136 - 1 /\ 0 <= I135 - 1 /\ I144 <= I138 /\ I144 + 1 <= I136 /\ I143 <= I137 /\ I143 + 1 <= I136 /\ I142 <= I136 /\ I141 - 1 <= I138 /\ I141 - 1 <= I137 /\ I141 <= I136 /\ I141 <= I135] 12.45/12.52 f1(I146, I147, I148, I149, I150, I151) -> f2(I152, I153, I154, I155, I156, I157) [-1 <= I158 - 1 /\ 0 <= I147 - 1 /\ I152 <= I146 /\ 0 <= I146 - 1 /\ 0 <= I152 - 1 /\ 0 <= I153 - 1 /\ -1 <= I154 - 1 /\ -1 <= I155 - 1] 12.45/12.52 12.45/15.50 EOF