3.31/3.34 MAYBE 3.31/3.34 3.31/3.34 DP problem for innermost termination. 3.31/3.34 P = 3.31/3.34 init#(x1, x2, x3, x4) -> f3#(rnd1, rnd2, rnd3, rnd4) 3.31/3.34 f13#(I0, I1, I2, I3) -> f13#(I4, I5, I6, I7) [-1 <= I5 - 1 /\ -1 <= I4 - 1 /\ 0 <= I1 - 1 /\ 0 <= I0 - 1 /\ I5 + 1 <= I1 /\ I5 + 1 <= I0 /\ I4 + 1 <= I1 /\ I4 + 1 <= I0] 3.31/3.34 f10#(I8, I9, I10, I11) -> f13#(I12, I13, I14, I15) [-1 <= I13 - 1 /\ -1 <= I12 - 1 /\ -1 <= I10 - 1 /\ -1 <= I9 - 1 /\ -1 <= I8 - 1 /\ I13 <= I8 /\ I12 <= I8] 3.31/3.34 f12#(I16, I17, I18, I19) -> f12#(I20, I21, I22, I23) [-1 <= I21 - 1 /\ -1 <= I20 - 1 /\ 0 <= I17 - 1 /\ 0 <= I16 - 1 /\ I21 + 1 <= I17 /\ I21 + 1 <= I16 /\ I20 + 1 <= I17 /\ I20 + 1 <= I16] 3.31/3.34 f9#(I24, I25, I26, I27) -> f12#(I28, I29, I30, I31) [I28 <= I24 /\ y2 <= y1 /\ I29 <= I24 /\ -1 <= I24 - 1 /\ -1 <= I25 - 1 /\ -1 <= I26 - 1 /\ -1 <= I28 - 1 /\ -1 <= I29 - 1] 3.31/3.34 f9#(I32, I33, I34, I35) -> f12#(I36, I37, I38, I39) [I36 <= I34 /\ I40 <= I41 /\ I37 <= I34 /\ -1 <= I32 - 1 /\ -1 <= I33 - 1 /\ -1 <= I34 - 1 /\ -1 <= I36 - 1 /\ -1 <= I37 - 1] 3.31/3.34 f9#(I42, I43, I44, I45) -> f12#(I46, I47, I48, I49) [-1 <= I47 - 1 /\ -1 <= I46 - 1 /\ -1 <= I44 - 1 /\ -1 <= I43 - 1 /\ -1 <= I42 - 1 /\ I47 <= I42 /\ I46 <= I42] 3.31/3.34 f9#(I50, I51, I52, I53) -> f12#(I54, I55, I56, I57) [-1 <= I55 - 1 /\ -1 <= I54 - 1 /\ -1 <= I52 - 1 /\ -1 <= I51 - 1 /\ -1 <= I50 - 1 /\ I55 <= I52 /\ I54 <= I52] 3.31/3.34 f7#(I58, I59, I60, I61) -> f12#(I62, I63, I64, I65) [0 <= I61 - 1 /\ I66 - 3 * I67 = 0 /\ I62 <= I58 /\ I63 <= I58 /\ 0 <= I58 - 1 /\ -1 <= I59 - 1 /\ -1 <= I60 - 1 /\ 0 <= I62 - 1 /\ 0 <= I63 - 1 /\ I66 - 3 * I67 <= 2 /\ 0 <= I66 - 3 * I67] 3.31/3.34 f6#(I68, I69, I70, I71) -> f7#(I68, I69, I70, I71) [0 <= I71 - 1 /\ I72 - 3 * I73 = 0 /\ y3 <= I68 /\ y4 <= I68 /\ 0 <= I68 - 1 /\ -1 <= I69 - 1 /\ -1 <= I70 - 1 /\ 0 <= y3 - 1 /\ 0 <= y4 - 1] 3.31/3.34 f7#(I74, I75, I76, I77) -> f12#(I78, I79, I80, I81) [0 <= I82 - 3 * I83 - 1 /\ 0 <= I77 - 1 /\ I78 <= I74 /\ I79 <= I74 /\ -1 <= I74 - 1 /\ -1 <= I75 - 1 /\ -1 <= I76 - 1 /\ -1 <= I78 - 1 /\ -1 <= I79 - 1 /\ I82 - 3 * I83 <= 2] 3.31/3.34 f6#(I84, I85, I86, I87) -> f7#(I84, I85, I86, I87) [0 <= I87 - 1 /\ 0 <= I88 - 3 * I89 - 1 /\ I90 <= I84 /\ I91 <= I84 /\ -1 <= I84 - 1 /\ -1 <= I85 - 1 /\ -1 <= I86 - 1 /\ -1 <= I90 - 1 /\ -1 <= I91 - 1] 3.31/3.34 f6#(I92, I93, I94, I95) -> f12#(I96, I97, I98, I99) [-1 <= I97 - 1 /\ -1 <= I96 - 1 /\ -1 <= I94 - 1 /\ -1 <= I93 - 1 /\ -1 <= I92 - 1 /\ I97 <= I94 /\ 0 <= I95 - 1 /\ I96 <= I94] 3.31/3.34 f4#(I100, I101, I102, I103) -> f12#(I104, I105, I106, I107) [-1 <= I105 - 1 /\ -1 <= I104 - 1 /\ -1 <= I102 - 1 /\ -1 <= I101 - 1 /\ -1 <= I100 - 1 /\ I105 <= I102 /\ I104 <= I102] 3.31/3.34 f11#(I108, I109, I110, I111) -> f11#(I108 - 1, I108, I112, I113) [0 <= I109 - 1] 3.31/3.34 f2#(I114, I115, I116, I117) -> f11#(I117 + 4, I117 + 5, I118, I119) [-1 <= I115 - 1 /\ 0 <= I114 - 1 /\ I117 <= I116 - 1 /\ 1 <= I116 - 1 /\ -1 <= I117 - 1 /\ I117 <= I117 + 5 - 1] 3.31/3.34 f2#(I120, I121, I122, I123) -> f11#(I122 - 1, I122, I124, I125) [-1 <= I121 - 1 /\ 0 <= I120 - 1 /\ 1 <= I122 - 1 /\ I123 <= I122 - 1] 3.31/3.34 f3#(I126, I127, I128, I129) -> f11#(I127 - 1, I127, I130, I131) [-1 <= I127 - 1 /\ 0 <= I126 - 1] 3.31/3.34 f10#(I132, I133, I134, I135) -> f4#(I136, I137, I138, I139) [-1 <= I138 - 1 /\ -1 <= I137 - 1 /\ -1 <= I136 - 1 /\ -1 <= I134 - 1 /\ -1 <= I133 - 1 /\ -1 <= I132 - 1 /\ I138 <= I132 /\ I137 <= I134 /\ I136 <= I133] 3.31/3.34 f9#(I140, I141, I142, I143) -> f10#(I144, I145, I146, I147) [I144 <= I142 /\ I148 <= I149 /\ I145 + 1 <= I140 /\ I146 <= I141 /\ 0 <= I140 - 1 /\ -1 <= I141 - 1 /\ -1 <= I142 - 1 /\ -1 <= I144 - 1 /\ -1 <= I145 - 1 /\ -1 <= I146 - 1] 3.31/3.34 f9#(I150, I151, I152, I153) -> f10#(I154, I155, I156, I157) [I158 <= I159 - 1 /\ I160 <= I161 /\ I154 <= I152 /\ I155 <= I150 /\ I156 + 1 <= I151 /\ -1 <= I150 - 1 /\ 0 <= I151 - 1 /\ -1 <= I152 - 1 /\ -1 <= I154 - 1 /\ -1 <= I155 - 1 /\ -1 <= I156 - 1] 3.31/3.34 f9#(I162, I163, I164, I165) -> f10#(I166, I167, I168, I169) [I170 <= I171 - 1 /\ I172 <= I173 /\ I166 <= I164 /\ I167 <= I162 /\ I168 + 1 <= I163 /\ -1 <= I162 - 1 /\ 0 <= I163 - 1 /\ -1 <= I164 - 1 /\ -1 <= I166 - 1 /\ -1 <= I167 - 1 /\ -1 <= I168 - 1] 3.31/3.34 f9#(I174, I175, I176, I177) -> f10#(I178, I179, I180, I181) [I178 + 1 <= I176 /\ I182 <= I183 - 1 /\ I179 <= I174 /\ I180 <= I175 /\ -1 <= I174 - 1 /\ -1 <= I175 - 1 /\ 0 <= I176 - 1 /\ -1 <= I178 - 1 /\ -1 <= I179 - 1 /\ -1 <= I180 - 1] 3.31/3.34 f8#(I184, I185, I186, I187) -> f9#(I188, I189, I190, I191) [0 = I187 /\ -1 <= I190 - 1 /\ -1 <= I189 - 1 /\ -1 <= I188 - 1 /\ 0 <= I186 - 1 /\ -1 <= I185 - 1 /\ -1 <= I184 - 1 /\ I190 <= I184 /\ I189 + 1 <= I186 /\ I188 <= I185] 3.31/3.34 f7#(I192, I193, I194, I195) -> f8#(I196, I197, I198, I199) [0 <= I195 - 1 /\ I200 - 3 * I201 = 0 /\ I196 <= I193 /\ I197 <= I194 /\ I198 <= I192 /\ 0 <= I192 - 1 /\ -1 <= I193 - 1 /\ -1 <= I194 - 1 /\ -1 <= I196 - 1 /\ -1 <= I197 - 1 /\ 0 <= I198 - 1 /\ 0 <= I200 - 3 * I201 /\ I200 - 3 * I201 <= 2 /\ I202 - 5 * I203 <= 4 /\ 0 <= I202 - 5 * I203 /\ I202 - 5 * I203 = I199] 3.31/3.34 f6#(I204, I205, I206, I207) -> f7#(I204, I205, I206, I207) [0 <= I207 - 1 /\ I208 - 3 * I209 = 0 /\ I210 <= I205 /\ I211 <= I206 /\ y5 <= I204 /\ 0 <= I204 - 1 /\ -1 <= I205 - 1 /\ -1 <= I206 - 1 /\ -1 <= I210 - 1 /\ -1 <= I211 - 1 /\ 0 <= y5 - 1] 3.31/3.34 f8#(I212, I213, I214, I215) -> f9#(I216, I217, I218, I219) [-1 <= I218 - 1 /\ -1 <= I217 - 1 /\ -1 <= I216 - 1 /\ -1 <= I214 - 1 /\ -1 <= I213 - 1 /\ -1 <= I212 - 1 /\ I218 <= I212 /\ I217 <= I214 /\ 0 <= I215 - 1 /\ I216 <= I213] 3.31/3.34 f7#(I220, I221, I222, I223) -> f8#(I224, I225, I226, I227) [0 <= I228 - 3 * I229 - 1 /\ 0 <= I223 - 1 /\ I224 <= I221 /\ I225 <= I222 /\ I226 <= I220 /\ -1 <= I220 - 1 /\ -1 <= I221 - 1 /\ -1 <= I222 - 1 /\ -1 <= I224 - 1 /\ -1 <= I225 - 1 /\ -1 <= I226 - 1 /\ I228 - 3 * I229 <= 2 /\ I230 - 5 * I231 <= 4 /\ 0 <= I230 - 5 * I231 /\ I230 - 5 * I231 = I227] 3.31/3.34 f6#(I232, I233, I234, I235) -> f7#(I232, I233, I234, I235) [0 <= I235 - 1 /\ 0 <= I236 - 3 * I237 - 1 /\ I238 <= I233 /\ I239 <= I234 /\ I240 <= I232 /\ -1 <= I232 - 1 /\ -1 <= I233 - 1 /\ -1 <= I234 - 1 /\ -1 <= I238 - 1 /\ -1 <= I239 - 1 /\ -1 <= I240 - 1] 3.31/3.34 f4#(I241, I242, I243, I244) -> f6#(I245, I246, I247, I248) [-1 <= I247 - 1 /\ -1 <= I246 - 1 /\ -1 <= I245 - 1 /\ -1 <= I243 - 1 /\ -1 <= I242 - 1 /\ -1 <= I241 - 1 /\ I247 <= I242 /\ I246 <= I241 /\ I245 <= I243] 3.31/3.34 f5#(I249, I250, I251, I252) -> f6#(I253, I254, I255, I252) [-1 <= I255 - 1 /\ -1 <= I254 - 1 /\ -1 <= I253 - 1 /\ -1 <= I251 - 1 /\ -1 <= I250 - 1 /\ -1 <= I249 - 1 /\ I255 <= I251 /\ I254 <= I250 /\ I253 <= I249] 3.31/3.34 f2#(I256, I257, I258, I259) -> f4#(I260, I261, I262, I263) [-1 <= I262 - 1 /\ -1 <= I261 - 1 /\ -1 <= I260 - 1 /\ -1 <= I257 - 1 /\ 0 <= I256 - 1 /\ I262 <= I257 /\ I259 <= I258 - 1 /\ 1 <= I258 - 1 /\ -1 <= I259 - 1 /\ I259 <= I259 + 5 - 1] 3.31/3.34 f3#(I264, I265, I266, I267) -> f2#(I268, I269, I265 + 3, I265) [-1 <= I269 - 1 /\ 0 <= I268 - 1 /\ 0 <= I264 - 1 /\ -1 <= I265 - 1 /\ I268 <= I264] 3.31/3.34 f1#(I270, I271, I272, I273) -> f2#(I274, I275, I272 + 3, I272) [-1 <= I275 - 1 /\ 0 <= I274 - 1 /\ -1 <= I271 - 1 /\ 0 <= I270 - 1 /\ I275 <= I271 /\ I274 - 1 <= I271 /\ -1 <= I272 - 1 /\ I274 <= I270] 3.31/3.34 R = 3.31/3.34 init(x1, x2, x3, x4) -> f3(rnd1, rnd2, rnd3, rnd4) 3.31/3.34 f13(I0, I1, I2, I3) -> f13(I4, I5, I6, I7) [-1 <= I5 - 1 /\ -1 <= I4 - 1 /\ 0 <= I1 - 1 /\ 0 <= I0 - 1 /\ I5 + 1 <= I1 /\ I5 + 1 <= I0 /\ I4 + 1 <= I1 /\ I4 + 1 <= I0] 3.31/3.34 f10(I8, I9, I10, I11) -> f13(I12, I13, I14, I15) [-1 <= I13 - 1 /\ -1 <= I12 - 1 /\ -1 <= I10 - 1 /\ -1 <= I9 - 1 /\ -1 <= I8 - 1 /\ I13 <= I8 /\ I12 <= I8] 3.31/3.34 f12(I16, I17, I18, I19) -> f12(I20, I21, I22, I23) [-1 <= I21 - 1 /\ -1 <= I20 - 1 /\ 0 <= I17 - 1 /\ 0 <= I16 - 1 /\ I21 + 1 <= I17 /\ I21 + 1 <= I16 /\ I20 + 1 <= I17 /\ I20 + 1 <= I16] 3.31/3.34 f9(I24, I25, I26, I27) -> f12(I28, I29, I30, I31) [I28 <= I24 /\ y2 <= y1 /\ I29 <= I24 /\ -1 <= I24 - 1 /\ -1 <= I25 - 1 /\ -1 <= I26 - 1 /\ -1 <= I28 - 1 /\ -1 <= I29 - 1] 3.31/3.34 f9(I32, I33, I34, I35) -> f12(I36, I37, I38, I39) [I36 <= I34 /\ I40 <= I41 /\ I37 <= I34 /\ -1 <= I32 - 1 /\ -1 <= I33 - 1 /\ -1 <= I34 - 1 /\ -1 <= I36 - 1 /\ -1 <= I37 - 1] 3.31/3.34 f9(I42, I43, I44, I45) -> f12(I46, I47, I48, I49) [-1 <= I47 - 1 /\ -1 <= I46 - 1 /\ -1 <= I44 - 1 /\ -1 <= I43 - 1 /\ -1 <= I42 - 1 /\ I47 <= I42 /\ I46 <= I42] 3.31/3.34 f9(I50, I51, I52, I53) -> f12(I54, I55, I56, I57) [-1 <= I55 - 1 /\ -1 <= I54 - 1 /\ -1 <= I52 - 1 /\ -1 <= I51 - 1 /\ -1 <= I50 - 1 /\ I55 <= I52 /\ I54 <= I52] 3.31/3.34 f7(I58, I59, I60, I61) -> f12(I62, I63, I64, I65) [0 <= I61 - 1 /\ I66 - 3 * I67 = 0 /\ I62 <= I58 /\ I63 <= I58 /\ 0 <= I58 - 1 /\ -1 <= I59 - 1 /\ -1 <= I60 - 1 /\ 0 <= I62 - 1 /\ 0 <= I63 - 1 /\ I66 - 3 * I67 <= 2 /\ 0 <= I66 - 3 * I67] 3.31/3.34 f6(I68, I69, I70, I71) -> f7(I68, I69, I70, I71) [0 <= I71 - 1 /\ I72 - 3 * I73 = 0 /\ y3 <= I68 /\ y4 <= I68 /\ 0 <= I68 - 1 /\ -1 <= I69 - 1 /\ -1 <= I70 - 1 /\ 0 <= y3 - 1 /\ 0 <= y4 - 1] 3.31/3.34 f7(I74, I75, I76, I77) -> f12(I78, I79, I80, I81) [0 <= I82 - 3 * I83 - 1 /\ 0 <= I77 - 1 /\ I78 <= I74 /\ I79 <= I74 /\ -1 <= I74 - 1 /\ -1 <= I75 - 1 /\ -1 <= I76 - 1 /\ -1 <= I78 - 1 /\ -1 <= I79 - 1 /\ I82 - 3 * I83 <= 2] 3.31/3.34 f6(I84, I85, I86, I87) -> f7(I84, I85, I86, I87) [0 <= I87 - 1 /\ 0 <= I88 - 3 * I89 - 1 /\ I90 <= I84 /\ I91 <= I84 /\ -1 <= I84 - 1 /\ -1 <= I85 - 1 /\ -1 <= I86 - 1 /\ -1 <= I90 - 1 /\ -1 <= I91 - 1] 3.31/3.34 f6(I92, I93, I94, I95) -> f12(I96, I97, I98, I99) [-1 <= I97 - 1 /\ -1 <= I96 - 1 /\ -1 <= I94 - 1 /\ -1 <= I93 - 1 /\ -1 <= I92 - 1 /\ I97 <= I94 /\ 0 <= I95 - 1 /\ I96 <= I94] 3.31/3.34 f4(I100, I101, I102, I103) -> f12(I104, I105, I106, I107) [-1 <= I105 - 1 /\ -1 <= I104 - 1 /\ -1 <= I102 - 1 /\ -1 <= I101 - 1 /\ -1 <= I100 - 1 /\ I105 <= I102 /\ I104 <= I102] 3.31/3.34 f11(I108, I109, I110, I111) -> f11(I108 - 1, I108, I112, I113) [0 <= I109 - 1] 3.31/3.34 f2(I114, I115, I116, I117) -> f11(I117 + 4, I117 + 5, I118, I119) [-1 <= I115 - 1 /\ 0 <= I114 - 1 /\ I117 <= I116 - 1 /\ 1 <= I116 - 1 /\ -1 <= I117 - 1 /\ I117 <= I117 + 5 - 1] 3.31/3.34 f2(I120, I121, I122, I123) -> f11(I122 - 1, I122, I124, I125) [-1 <= I121 - 1 /\ 0 <= I120 - 1 /\ 1 <= I122 - 1 /\ I123 <= I122 - 1] 3.31/3.34 f3(I126, I127, I128, I129) -> f11(I127 - 1, I127, I130, I131) [-1 <= I127 - 1 /\ 0 <= I126 - 1] 3.31/3.34 f10(I132, I133, I134, I135) -> f4(I136, I137, I138, I139) [-1 <= I138 - 1 /\ -1 <= I137 - 1 /\ -1 <= I136 - 1 /\ -1 <= I134 - 1 /\ -1 <= I133 - 1 /\ -1 <= I132 - 1 /\ I138 <= I132 /\ I137 <= I134 /\ I136 <= I133] 3.31/3.34 f9(I140, I141, I142, I143) -> f10(I144, I145, I146, I147) [I144 <= I142 /\ I148 <= I149 /\ I145 + 1 <= I140 /\ I146 <= I141 /\ 0 <= I140 - 1 /\ -1 <= I141 - 1 /\ -1 <= I142 - 1 /\ -1 <= I144 - 1 /\ -1 <= I145 - 1 /\ -1 <= I146 - 1] 3.31/3.34 f9(I150, I151, I152, I153) -> f10(I154, I155, I156, I157) [I158 <= I159 - 1 /\ I160 <= I161 /\ I154 <= I152 /\ I155 <= I150 /\ I156 + 1 <= I151 /\ -1 <= I150 - 1 /\ 0 <= I151 - 1 /\ -1 <= I152 - 1 /\ -1 <= I154 - 1 /\ -1 <= I155 - 1 /\ -1 <= I156 - 1] 3.31/3.34 f9(I162, I163, I164, I165) -> f10(I166, I167, I168, I169) [I170 <= I171 - 1 /\ I172 <= I173 /\ I166 <= I164 /\ I167 <= I162 /\ I168 + 1 <= I163 /\ -1 <= I162 - 1 /\ 0 <= I163 - 1 /\ -1 <= I164 - 1 /\ -1 <= I166 - 1 /\ -1 <= I167 - 1 /\ -1 <= I168 - 1] 3.31/3.34 f9(I174, I175, I176, I177) -> f10(I178, I179, I180, I181) [I178 + 1 <= I176 /\ I182 <= I183 - 1 /\ I179 <= I174 /\ I180 <= I175 /\ -1 <= I174 - 1 /\ -1 <= I175 - 1 /\ 0 <= I176 - 1 /\ -1 <= I178 - 1 /\ -1 <= I179 - 1 /\ -1 <= I180 - 1] 3.31/3.34 f8(I184, I185, I186, I187) -> f9(I188, I189, I190, I191) [0 = I187 /\ -1 <= I190 - 1 /\ -1 <= I189 - 1 /\ -1 <= I188 - 1 /\ 0 <= I186 - 1 /\ -1 <= I185 - 1 /\ -1 <= I184 - 1 /\ I190 <= I184 /\ I189 + 1 <= I186 /\ I188 <= I185] 3.31/3.34 f7(I192, I193, I194, I195) -> f8(I196, I197, I198, I199) [0 <= I195 - 1 /\ I200 - 3 * I201 = 0 /\ I196 <= I193 /\ I197 <= I194 /\ I198 <= I192 /\ 0 <= I192 - 1 /\ -1 <= I193 - 1 /\ -1 <= I194 - 1 /\ -1 <= I196 - 1 /\ -1 <= I197 - 1 /\ 0 <= I198 - 1 /\ 0 <= I200 - 3 * I201 /\ I200 - 3 * I201 <= 2 /\ I202 - 5 * I203 <= 4 /\ 0 <= I202 - 5 * I203 /\ I202 - 5 * I203 = I199] 3.31/3.34 f6(I204, I205, I206, I207) -> f7(I204, I205, I206, I207) [0 <= I207 - 1 /\ I208 - 3 * I209 = 0 /\ I210 <= I205 /\ I211 <= I206 /\ y5 <= I204 /\ 0 <= I204 - 1 /\ -1 <= I205 - 1 /\ -1 <= I206 - 1 /\ -1 <= I210 - 1 /\ -1 <= I211 - 1 /\ 0 <= y5 - 1] 3.31/3.34 f8(I212, I213, I214, I215) -> f9(I216, I217, I218, I219) [-1 <= I218 - 1 /\ -1 <= I217 - 1 /\ -1 <= I216 - 1 /\ -1 <= I214 - 1 /\ -1 <= I213 - 1 /\ -1 <= I212 - 1 /\ I218 <= I212 /\ I217 <= I214 /\ 0 <= I215 - 1 /\ I216 <= I213] 3.31/3.34 f7(I220, I221, I222, I223) -> f8(I224, I225, I226, I227) [0 <= I228 - 3 * I229 - 1 /\ 0 <= I223 - 1 /\ I224 <= I221 /\ I225 <= I222 /\ I226 <= I220 /\ -1 <= I220 - 1 /\ -1 <= I221 - 1 /\ -1 <= I222 - 1 /\ -1 <= I224 - 1 /\ -1 <= I225 - 1 /\ -1 <= I226 - 1 /\ I228 - 3 * I229 <= 2 /\ I230 - 5 * I231 <= 4 /\ 0 <= I230 - 5 * I231 /\ I230 - 5 * I231 = I227] 3.31/3.34 f6(I232, I233, I234, I235) -> f7(I232, I233, I234, I235) [0 <= I235 - 1 /\ 0 <= I236 - 3 * I237 - 1 /\ I238 <= I233 /\ I239 <= I234 /\ I240 <= I232 /\ -1 <= I232 - 1 /\ -1 <= I233 - 1 /\ -1 <= I234 - 1 /\ -1 <= I238 - 1 /\ -1 <= I239 - 1 /\ -1 <= I240 - 1] 3.31/3.34 f4(I241, I242, I243, I244) -> f6(I245, I246, I247, I248) [-1 <= I247 - 1 /\ -1 <= I246 - 1 /\ -1 <= I245 - 1 /\ -1 <= I243 - 1 /\ -1 <= I242 - 1 /\ -1 <= I241 - 1 /\ I247 <= I242 /\ I246 <= I241 /\ I245 <= I243] 3.31/3.34 f5(I249, I250, I251, I252) -> f6(I253, I254, I255, I252) [-1 <= I255 - 1 /\ -1 <= I254 - 1 /\ -1 <= I253 - 1 /\ -1 <= I251 - 1 /\ -1 <= I250 - 1 /\ -1 <= I249 - 1 /\ I255 <= I251 /\ I254 <= I250 /\ I253 <= I249] 3.31/3.34 f2(I256, I257, I258, I259) -> f4(I260, I261, I262, I263) [-1 <= I262 - 1 /\ -1 <= I261 - 1 /\ -1 <= I260 - 1 /\ -1 <= I257 - 1 /\ 0 <= I256 - 1 /\ I262 <= I257 /\ I259 <= I258 - 1 /\ 1 <= I258 - 1 /\ -1 <= I259 - 1 /\ I259 <= I259 + 5 - 1] 3.31/3.34 f3(I264, I265, I266, I267) -> f2(I268, I269, I265 + 3, I265) [-1 <= I269 - 1 /\ 0 <= I268 - 1 /\ 0 <= I264 - 1 /\ -1 <= I265 - 1 /\ I268 <= I264] 3.31/3.34 f1(I270, I271, I272, I273) -> f2(I274, I275, I272 + 3, I272) [-1 <= I275 - 1 /\ 0 <= I274 - 1 /\ -1 <= I271 - 1 /\ 0 <= I270 - 1 /\ I275 <= I271 /\ I274 - 1 <= I271 /\ -1 <= I272 - 1 /\ I274 <= I270] 3.31/3.34 3.31/3.34 The dependency graph for this problem is: 3.31/3.34 0 -> 17, 32 3.31/3.34 1 -> 1 3.31/3.34 2 -> 1 3.31/3.34 3 -> 3 3.31/3.34 4 -> 3 3.31/3.34 5 -> 3 3.31/3.34 6 -> 3 3.31/3.34 7 -> 3 3.31/3.34 8 -> 3 3.31/3.34 9 -> 8, 10, 24, 27 3.31/3.34 10 -> 3 3.31/3.34 11 -> 8, 10, 24, 27 3.31/3.34 12 -> 3 3.31/3.34 13 -> 3 3.31/3.34 14 -> 14 3.31/3.34 15 -> 14 3.31/3.34 16 -> 14 3.31/3.34 17 -> 14 3.31/3.34 18 -> 13, 29 3.31/3.34 19 -> 2, 18 3.31/3.34 20 -> 2, 18 3.31/3.34 21 -> 2, 18 3.31/3.34 22 -> 2, 18 3.31/3.34 23 -> 4, 5, 6, 7, 19, 20, 21, 22 3.31/3.34 24 -> 23, 26 3.31/3.34 25 -> 8, 10, 24, 27 3.31/3.34 26 -> 4, 5, 6, 7, 19, 20, 21, 22 3.31/3.34 27 -> 23, 26 3.31/3.34 28 -> 8, 10, 24, 27 3.31/3.34 29 -> 9, 11, 12, 25, 28 3.31/3.34 30 -> 9, 11, 12, 25, 28 3.31/3.34 31 -> 13, 29 3.31/3.34 32 -> 15, 16, 31 3.31/3.34 33 -> 15, 16, 31 3.31/3.34 Where: 3.31/3.34 0) init#(x1, x2, x3, x4) -> f3#(rnd1, rnd2, rnd3, rnd4) 3.31/3.34 1) f13#(I0, I1, I2, I3) -> f13#(I4, I5, I6, I7) [-1 <= I5 - 1 /\ -1 <= I4 - 1 /\ 0 <= I1 - 1 /\ 0 <= I0 - 1 /\ I5 + 1 <= I1 /\ I5 + 1 <= I0 /\ I4 + 1 <= I1 /\ I4 + 1 <= I0] 3.31/3.34 2) f10#(I8, I9, I10, I11) -> f13#(I12, I13, I14, I15) [-1 <= I13 - 1 /\ -1 <= I12 - 1 /\ -1 <= I10 - 1 /\ -1 <= I9 - 1 /\ -1 <= I8 - 1 /\ I13 <= I8 /\ I12 <= I8] 3.31/3.34 3) f12#(I16, I17, I18, I19) -> f12#(I20, I21, I22, I23) [-1 <= I21 - 1 /\ -1 <= I20 - 1 /\ 0 <= I17 - 1 /\ 0 <= I16 - 1 /\ I21 + 1 <= I17 /\ I21 + 1 <= I16 /\ I20 + 1 <= I17 /\ I20 + 1 <= I16] 3.31/3.34 4) f9#(I24, I25, I26, I27) -> f12#(I28, I29, I30, I31) [I28 <= I24 /\ y2 <= y1 /\ I29 <= I24 /\ -1 <= I24 - 1 /\ -1 <= I25 - 1 /\ -1 <= I26 - 1 /\ -1 <= I28 - 1 /\ -1 <= I29 - 1] 3.31/3.34 5) f9#(I32, I33, I34, I35) -> f12#(I36, I37, I38, I39) [I36 <= I34 /\ I40 <= I41 /\ I37 <= I34 /\ -1 <= I32 - 1 /\ -1 <= I33 - 1 /\ -1 <= I34 - 1 /\ -1 <= I36 - 1 /\ -1 <= I37 - 1] 3.31/3.34 6) f9#(I42, I43, I44, I45) -> f12#(I46, I47, I48, I49) [-1 <= I47 - 1 /\ -1 <= I46 - 1 /\ -1 <= I44 - 1 /\ -1 <= I43 - 1 /\ -1 <= I42 - 1 /\ I47 <= I42 /\ I46 <= I42] 3.31/3.34 7) f9#(I50, I51, I52, I53) -> f12#(I54, I55, I56, I57) [-1 <= I55 - 1 /\ -1 <= I54 - 1 /\ -1 <= I52 - 1 /\ -1 <= I51 - 1 /\ -1 <= I50 - 1 /\ I55 <= I52 /\ I54 <= I52] 3.31/3.34 8) f7#(I58, I59, I60, I61) -> f12#(I62, I63, I64, I65) [0 <= I61 - 1 /\ I66 - 3 * I67 = 0 /\ I62 <= I58 /\ I63 <= I58 /\ 0 <= I58 - 1 /\ -1 <= I59 - 1 /\ -1 <= I60 - 1 /\ 0 <= I62 - 1 /\ 0 <= I63 - 1 /\ I66 - 3 * I67 <= 2 /\ 0 <= I66 - 3 * I67] 3.31/3.34 9) f6#(I68, I69, I70, I71) -> f7#(I68, I69, I70, I71) [0 <= I71 - 1 /\ I72 - 3 * I73 = 0 /\ y3 <= I68 /\ y4 <= I68 /\ 0 <= I68 - 1 /\ -1 <= I69 - 1 /\ -1 <= I70 - 1 /\ 0 <= y3 - 1 /\ 0 <= y4 - 1] 3.31/3.34 10) f7#(I74, I75, I76, I77) -> f12#(I78, I79, I80, I81) [0 <= I82 - 3 * I83 - 1 /\ 0 <= I77 - 1 /\ I78 <= I74 /\ I79 <= I74 /\ -1 <= I74 - 1 /\ -1 <= I75 - 1 /\ -1 <= I76 - 1 /\ -1 <= I78 - 1 /\ -1 <= I79 - 1 /\ I82 - 3 * I83 <= 2] 3.31/3.34 11) f6#(I84, I85, I86, I87) -> f7#(I84, I85, I86, I87) [0 <= I87 - 1 /\ 0 <= I88 - 3 * I89 - 1 /\ I90 <= I84 /\ I91 <= I84 /\ -1 <= I84 - 1 /\ -1 <= I85 - 1 /\ -1 <= I86 - 1 /\ -1 <= I90 - 1 /\ -1 <= I91 - 1] 3.31/3.34 12) f6#(I92, I93, I94, I95) -> f12#(I96, I97, I98, I99) [-1 <= I97 - 1 /\ -1 <= I96 - 1 /\ -1 <= I94 - 1 /\ -1 <= I93 - 1 /\ -1 <= I92 - 1 /\ I97 <= I94 /\ 0 <= I95 - 1 /\ I96 <= I94] 3.31/3.34 13) f4#(I100, I101, I102, I103) -> f12#(I104, I105, I106, I107) [-1 <= I105 - 1 /\ -1 <= I104 - 1 /\ -1 <= I102 - 1 /\ -1 <= I101 - 1 /\ -1 <= I100 - 1 /\ I105 <= I102 /\ I104 <= I102] 3.31/3.34 14) f11#(I108, I109, I110, I111) -> f11#(I108 - 1, I108, I112, I113) [0 <= I109 - 1] 3.31/3.34 15) f2#(I114, I115, I116, I117) -> f11#(I117 + 4, I117 + 5, I118, I119) [-1 <= I115 - 1 /\ 0 <= I114 - 1 /\ I117 <= I116 - 1 /\ 1 <= I116 - 1 /\ -1 <= I117 - 1 /\ I117 <= I117 + 5 - 1] 3.31/3.34 16) f2#(I120, I121, I122, I123) -> f11#(I122 - 1, I122, I124, I125) [-1 <= I121 - 1 /\ 0 <= I120 - 1 /\ 1 <= I122 - 1 /\ I123 <= I122 - 1] 3.31/3.34 17) f3#(I126, I127, I128, I129) -> f11#(I127 - 1, I127, I130, I131) [-1 <= I127 - 1 /\ 0 <= I126 - 1] 3.31/3.34 18) f10#(I132, I133, I134, I135) -> f4#(I136, I137, I138, I139) [-1 <= I138 - 1 /\ -1 <= I137 - 1 /\ -1 <= I136 - 1 /\ -1 <= I134 - 1 /\ -1 <= I133 - 1 /\ -1 <= I132 - 1 /\ I138 <= I132 /\ I137 <= I134 /\ I136 <= I133] 3.31/3.34 19) f9#(I140, I141, I142, I143) -> f10#(I144, I145, I146, I147) [I144 <= I142 /\ I148 <= I149 /\ I145 + 1 <= I140 /\ I146 <= I141 /\ 0 <= I140 - 1 /\ -1 <= I141 - 1 /\ -1 <= I142 - 1 /\ -1 <= I144 - 1 /\ -1 <= I145 - 1 /\ -1 <= I146 - 1] 3.31/3.34 20) f9#(I150, I151, I152, I153) -> f10#(I154, I155, I156, I157) [I158 <= I159 - 1 /\ I160 <= I161 /\ I154 <= I152 /\ I155 <= I150 /\ I156 + 1 <= I151 /\ -1 <= I150 - 1 /\ 0 <= I151 - 1 /\ -1 <= I152 - 1 /\ -1 <= I154 - 1 /\ -1 <= I155 - 1 /\ -1 <= I156 - 1] 3.31/3.34 21) f9#(I162, I163, I164, I165) -> f10#(I166, I167, I168, I169) [I170 <= I171 - 1 /\ I172 <= I173 /\ I166 <= I164 /\ I167 <= I162 /\ I168 + 1 <= I163 /\ -1 <= I162 - 1 /\ 0 <= I163 - 1 /\ -1 <= I164 - 1 /\ -1 <= I166 - 1 /\ -1 <= I167 - 1 /\ -1 <= I168 - 1] 3.31/3.34 22) f9#(I174, I175, I176, I177) -> f10#(I178, I179, I180, I181) [I178 + 1 <= I176 /\ I182 <= I183 - 1 /\ I179 <= I174 /\ I180 <= I175 /\ -1 <= I174 - 1 /\ -1 <= I175 - 1 /\ 0 <= I176 - 1 /\ -1 <= I178 - 1 /\ -1 <= I179 - 1 /\ -1 <= I180 - 1] 3.31/3.34 23) f8#(I184, I185, I186, I187) -> f9#(I188, I189, I190, I191) [0 = I187 /\ -1 <= I190 - 1 /\ -1 <= I189 - 1 /\ -1 <= I188 - 1 /\ 0 <= I186 - 1 /\ -1 <= I185 - 1 /\ -1 <= I184 - 1 /\ I190 <= I184 /\ I189 + 1 <= I186 /\ I188 <= I185] 3.31/3.34 24) f7#(I192, I193, I194, I195) -> f8#(I196, I197, I198, I199) [0 <= I195 - 1 /\ I200 - 3 * I201 = 0 /\ I196 <= I193 /\ I197 <= I194 /\ I198 <= I192 /\ 0 <= I192 - 1 /\ -1 <= I193 - 1 /\ -1 <= I194 - 1 /\ -1 <= I196 - 1 /\ -1 <= I197 - 1 /\ 0 <= I198 - 1 /\ 0 <= I200 - 3 * I201 /\ I200 - 3 * I201 <= 2 /\ I202 - 5 * I203 <= 4 /\ 0 <= I202 - 5 * I203 /\ I202 - 5 * I203 = I199] 3.31/3.34 25) f6#(I204, I205, I206, I207) -> f7#(I204, I205, I206, I207) [0 <= I207 - 1 /\ I208 - 3 * I209 = 0 /\ I210 <= I205 /\ I211 <= I206 /\ y5 <= I204 /\ 0 <= I204 - 1 /\ -1 <= I205 - 1 /\ -1 <= I206 - 1 /\ -1 <= I210 - 1 /\ -1 <= I211 - 1 /\ 0 <= y5 - 1] 3.31/3.34 26) f8#(I212, I213, I214, I215) -> f9#(I216, I217, I218, I219) [-1 <= I218 - 1 /\ -1 <= I217 - 1 /\ -1 <= I216 - 1 /\ -1 <= I214 - 1 /\ -1 <= I213 - 1 /\ -1 <= I212 - 1 /\ I218 <= I212 /\ I217 <= I214 /\ 0 <= I215 - 1 /\ I216 <= I213] 3.31/3.34 27) f7#(I220, I221, I222, I223) -> f8#(I224, I225, I226, I227) [0 <= I228 - 3 * I229 - 1 /\ 0 <= I223 - 1 /\ I224 <= I221 /\ I225 <= I222 /\ I226 <= I220 /\ -1 <= I220 - 1 /\ -1 <= I221 - 1 /\ -1 <= I222 - 1 /\ -1 <= I224 - 1 /\ -1 <= I225 - 1 /\ -1 <= I226 - 1 /\ I228 - 3 * I229 <= 2 /\ I230 - 5 * I231 <= 4 /\ 0 <= I230 - 5 * I231 /\ I230 - 5 * I231 = I227] 3.31/3.34 28) f6#(I232, I233, I234, I235) -> f7#(I232, I233, I234, I235) [0 <= I235 - 1 /\ 0 <= I236 - 3 * I237 - 1 /\ I238 <= I233 /\ I239 <= I234 /\ I240 <= I232 /\ -1 <= I232 - 1 /\ -1 <= I233 - 1 /\ -1 <= I234 - 1 /\ -1 <= I238 - 1 /\ -1 <= I239 - 1 /\ -1 <= I240 - 1] 3.31/3.34 29) f4#(I241, I242, I243, I244) -> f6#(I245, I246, I247, I248) [-1 <= I247 - 1 /\ -1 <= I246 - 1 /\ -1 <= I245 - 1 /\ -1 <= I243 - 1 /\ -1 <= I242 - 1 /\ -1 <= I241 - 1 /\ I247 <= I242 /\ I246 <= I241 /\ I245 <= I243] 3.31/3.34 30) f5#(I249, I250, I251, I252) -> f6#(I253, I254, I255, I252) [-1 <= I255 - 1 /\ -1 <= I254 - 1 /\ -1 <= I253 - 1 /\ -1 <= I251 - 1 /\ -1 <= I250 - 1 /\ -1 <= I249 - 1 /\ I255 <= I251 /\ I254 <= I250 /\ I253 <= I249] 3.31/3.34 31) f2#(I256, I257, I258, I259) -> f4#(I260, I261, I262, I263) [-1 <= I262 - 1 /\ -1 <= I261 - 1 /\ -1 <= I260 - 1 /\ -1 <= I257 - 1 /\ 0 <= I256 - 1 /\ I262 <= I257 /\ I259 <= I258 - 1 /\ 1 <= I258 - 1 /\ -1 <= I259 - 1 /\ I259 <= I259 + 5 - 1] 3.31/3.34 32) f3#(I264, I265, I266, I267) -> f2#(I268, I269, I265 + 3, I265) [-1 <= I269 - 1 /\ 0 <= I268 - 1 /\ 0 <= I264 - 1 /\ -1 <= I265 - 1 /\ I268 <= I264] 3.31/3.34 33) f1#(I270, I271, I272, I273) -> f2#(I274, I275, I272 + 3, I272) [-1 <= I275 - 1 /\ 0 <= I274 - 1 /\ -1 <= I271 - 1 /\ 0 <= I270 - 1 /\ I275 <= I271 /\ I274 - 1 <= I271 /\ -1 <= I272 - 1 /\ I274 <= I270] 3.31/3.34 3.31/3.34 We have the following SCCs. 3.31/3.34 { 9, 11, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29 } 3.31/3.34 { 1 } 3.31/3.34 { 3 } 3.31/3.34 { 14 } 3.31/3.34 3.31/3.34 DP problem for innermost termination. 3.31/3.34 P = 3.31/3.34 f11#(I108, I109, I110, I111) -> f11#(I108 - 1, I108, I112, I113) [0 <= I109 - 1] 3.31/3.34 R = 3.31/3.34 init(x1, x2, x3, x4) -> f3(rnd1, rnd2, rnd3, rnd4) 3.31/3.34 f13(I0, I1, I2, I3) -> f13(I4, I5, I6, I7) [-1 <= I5 - 1 /\ -1 <= I4 - 1 /\ 0 <= I1 - 1 /\ 0 <= I0 - 1 /\ I5 + 1 <= I1 /\ I5 + 1 <= I0 /\ I4 + 1 <= I1 /\ I4 + 1 <= I0] 3.31/3.34 f10(I8, I9, I10, I11) -> f13(I12, I13, I14, I15) [-1 <= I13 - 1 /\ -1 <= I12 - 1 /\ -1 <= I10 - 1 /\ -1 <= I9 - 1 /\ -1 <= I8 - 1 /\ I13 <= I8 /\ I12 <= I8] 3.31/3.34 f12(I16, I17, I18, I19) -> f12(I20, I21, I22, I23) [-1 <= I21 - 1 /\ -1 <= I20 - 1 /\ 0 <= I17 - 1 /\ 0 <= I16 - 1 /\ I21 + 1 <= I17 /\ I21 + 1 <= I16 /\ I20 + 1 <= I17 /\ I20 + 1 <= I16] 3.31/3.34 f9(I24, I25, I26, I27) -> f12(I28, I29, I30, I31) [I28 <= I24 /\ y2 <= y1 /\ I29 <= I24 /\ -1 <= I24 - 1 /\ -1 <= I25 - 1 /\ -1 <= I26 - 1 /\ -1 <= I28 - 1 /\ -1 <= I29 - 1] 3.31/3.34 f9(I32, I33, I34, I35) -> f12(I36, I37, I38, I39) [I36 <= I34 /\ I40 <= I41 /\ I37 <= I34 /\ -1 <= I32 - 1 /\ -1 <= I33 - 1 /\ -1 <= I34 - 1 /\ -1 <= I36 - 1 /\ -1 <= I37 - 1] 3.31/3.34 f9(I42, I43, I44, I45) -> f12(I46, I47, I48, I49) [-1 <= I47 - 1 /\ -1 <= I46 - 1 /\ -1 <= I44 - 1 /\ -1 <= I43 - 1 /\ -1 <= I42 - 1 /\ I47 <= I42 /\ I46 <= I42] 3.31/3.34 f9(I50, I51, I52, I53) -> f12(I54, I55, I56, I57) [-1 <= I55 - 1 /\ -1 <= I54 - 1 /\ -1 <= I52 - 1 /\ -1 <= I51 - 1 /\ -1 <= I50 - 1 /\ I55 <= I52 /\ I54 <= I52] 3.31/3.34 f7(I58, I59, I60, I61) -> f12(I62, I63, I64, I65) [0 <= I61 - 1 /\ I66 - 3 * I67 = 0 /\ I62 <= I58 /\ I63 <= I58 /\ 0 <= I58 - 1 /\ -1 <= I59 - 1 /\ -1 <= I60 - 1 /\ 0 <= I62 - 1 /\ 0 <= I63 - 1 /\ I66 - 3 * I67 <= 2 /\ 0 <= I66 - 3 * I67] 3.31/3.34 f6(I68, I69, I70, I71) -> f7(I68, I69, I70, I71) [0 <= I71 - 1 /\ I72 - 3 * I73 = 0 /\ y3 <= I68 /\ y4 <= I68 /\ 0 <= I68 - 1 /\ -1 <= I69 - 1 /\ -1 <= I70 - 1 /\ 0 <= y3 - 1 /\ 0 <= y4 - 1] 3.31/3.34 f7(I74, I75, I76, I77) -> f12(I78, I79, I80, I81) [0 <= I82 - 3 * I83 - 1 /\ 0 <= I77 - 1 /\ I78 <= I74 /\ I79 <= I74 /\ -1 <= I74 - 1 /\ -1 <= I75 - 1 /\ -1 <= I76 - 1 /\ -1 <= I78 - 1 /\ -1 <= I79 - 1 /\ I82 - 3 * I83 <= 2] 3.31/3.34 f6(I84, I85, I86, I87) -> f7(I84, I85, I86, I87) [0 <= I87 - 1 /\ 0 <= I88 - 3 * I89 - 1 /\ I90 <= I84 /\ I91 <= I84 /\ -1 <= I84 - 1 /\ -1 <= I85 - 1 /\ -1 <= I86 - 1 /\ -1 <= I90 - 1 /\ -1 <= I91 - 1] 3.31/3.34 f6(I92, I93, I94, I95) -> f12(I96, I97, I98, I99) [-1 <= I97 - 1 /\ -1 <= I96 - 1 /\ -1 <= I94 - 1 /\ -1 <= I93 - 1 /\ -1 <= I92 - 1 /\ I97 <= I94 /\ 0 <= I95 - 1 /\ I96 <= I94] 3.31/3.34 f4(I100, I101, I102, I103) -> f12(I104, I105, I106, I107) [-1 <= I105 - 1 /\ -1 <= I104 - 1 /\ -1 <= I102 - 1 /\ -1 <= I101 - 1 /\ -1 <= I100 - 1 /\ I105 <= I102 /\ I104 <= I102] 3.31/3.34 f11(I108, I109, I110, I111) -> f11(I108 - 1, I108, I112, I113) [0 <= I109 - 1] 3.31/3.34 f2(I114, I115, I116, I117) -> f11(I117 + 4, I117 + 5, I118, I119) [-1 <= I115 - 1 /\ 0 <= I114 - 1 /\ I117 <= I116 - 1 /\ 1 <= I116 - 1 /\ -1 <= I117 - 1 /\ I117 <= I117 + 5 - 1] 3.31/3.34 f2(I120, I121, I122, I123) -> f11(I122 - 1, I122, I124, I125) [-1 <= I121 - 1 /\ 0 <= I120 - 1 /\ 1 <= I122 - 1 /\ I123 <= I122 - 1] 3.31/3.34 f3(I126, I127, I128, I129) -> f11(I127 - 1, I127, I130, I131) [-1 <= I127 - 1 /\ 0 <= I126 - 1] 3.31/3.34 f10(I132, I133, I134, I135) -> f4(I136, I137, I138, I139) [-1 <= I138 - 1 /\ -1 <= I137 - 1 /\ -1 <= I136 - 1 /\ -1 <= I134 - 1 /\ -1 <= I133 - 1 /\ -1 <= I132 - 1 /\ I138 <= I132 /\ I137 <= I134 /\ I136 <= I133] 3.31/3.34 f9(I140, I141, I142, I143) -> f10(I144, I145, I146, I147) [I144 <= I142 /\ I148 <= I149 /\ I145 + 1 <= I140 /\ I146 <= I141 /\ 0 <= I140 - 1 /\ -1 <= I141 - 1 /\ -1 <= I142 - 1 /\ -1 <= I144 - 1 /\ -1 <= I145 - 1 /\ -1 <= I146 - 1] 3.31/3.34 f9(I150, I151, I152, I153) -> f10(I154, I155, I156, I157) [I158 <= I159 - 1 /\ I160 <= I161 /\ I154 <= I152 /\ I155 <= I150 /\ I156 + 1 <= I151 /\ -1 <= I150 - 1 /\ 0 <= I151 - 1 /\ -1 <= I152 - 1 /\ -1 <= I154 - 1 /\ -1 <= I155 - 1 /\ -1 <= I156 - 1] 3.31/3.34 f9(I162, I163, I164, I165) -> f10(I166, I167, I168, I169) [I170 <= I171 - 1 /\ I172 <= I173 /\ I166 <= I164 /\ I167 <= I162 /\ I168 + 1 <= I163 /\ -1 <= I162 - 1 /\ 0 <= I163 - 1 /\ -1 <= I164 - 1 /\ -1 <= I166 - 1 /\ -1 <= I167 - 1 /\ -1 <= I168 - 1] 3.31/3.34 f9(I174, I175, I176, I177) -> f10(I178, I179, I180, I181) [I178 + 1 <= I176 /\ I182 <= I183 - 1 /\ I179 <= I174 /\ I180 <= I175 /\ -1 <= I174 - 1 /\ -1 <= I175 - 1 /\ 0 <= I176 - 1 /\ -1 <= I178 - 1 /\ -1 <= I179 - 1 /\ -1 <= I180 - 1] 3.31/3.34 f8(I184, I185, I186, I187) -> f9(I188, I189, I190, I191) [0 = I187 /\ -1 <= I190 - 1 /\ -1 <= I189 - 1 /\ -1 <= I188 - 1 /\ 0 <= I186 - 1 /\ -1 <= I185 - 1 /\ -1 <= I184 - 1 /\ I190 <= I184 /\ I189 + 1 <= I186 /\ I188 <= I185] 3.31/3.34 f7(I192, I193, I194, I195) -> f8(I196, I197, I198, I199) [0 <= I195 - 1 /\ I200 - 3 * I201 = 0 /\ I196 <= I193 /\ I197 <= I194 /\ I198 <= I192 /\ 0 <= I192 - 1 /\ -1 <= I193 - 1 /\ -1 <= I194 - 1 /\ -1 <= I196 - 1 /\ -1 <= I197 - 1 /\ 0 <= I198 - 1 /\ 0 <= I200 - 3 * I201 /\ I200 - 3 * I201 <= 2 /\ I202 - 5 * I203 <= 4 /\ 0 <= I202 - 5 * I203 /\ I202 - 5 * I203 = I199] 3.31/3.34 f6(I204, I205, I206, I207) -> f7(I204, I205, I206, I207) [0 <= I207 - 1 /\ I208 - 3 * I209 = 0 /\ I210 <= I205 /\ I211 <= I206 /\ y5 <= I204 /\ 0 <= I204 - 1 /\ -1 <= I205 - 1 /\ -1 <= I206 - 1 /\ -1 <= I210 - 1 /\ -1 <= I211 - 1 /\ 0 <= y5 - 1] 3.31/3.34 f8(I212, I213, I214, I215) -> f9(I216, I217, I218, I219) [-1 <= I218 - 1 /\ -1 <= I217 - 1 /\ -1 <= I216 - 1 /\ -1 <= I214 - 1 /\ -1 <= I213 - 1 /\ -1 <= I212 - 1 /\ I218 <= I212 /\ I217 <= I214 /\ 0 <= I215 - 1 /\ I216 <= I213] 3.31/3.34 f7(I220, I221, I222, I223) -> f8(I224, I225, I226, I227) [0 <= I228 - 3 * I229 - 1 /\ 0 <= I223 - 1 /\ I224 <= I221 /\ I225 <= I222 /\ I226 <= I220 /\ -1 <= I220 - 1 /\ -1 <= I221 - 1 /\ -1 <= I222 - 1 /\ -1 <= I224 - 1 /\ -1 <= I225 - 1 /\ -1 <= I226 - 1 /\ I228 - 3 * I229 <= 2 /\ I230 - 5 * I231 <= 4 /\ 0 <= I230 - 5 * I231 /\ I230 - 5 * I231 = I227] 3.31/3.34 f6(I232, I233, I234, I235) -> f7(I232, I233, I234, I235) [0 <= I235 - 1 /\ 0 <= I236 - 3 * I237 - 1 /\ I238 <= I233 /\ I239 <= I234 /\ I240 <= I232 /\ -1 <= I232 - 1 /\ -1 <= I233 - 1 /\ -1 <= I234 - 1 /\ -1 <= I238 - 1 /\ -1 <= I239 - 1 /\ -1 <= I240 - 1] 3.31/3.34 f4(I241, I242, I243, I244) -> f6(I245, I246, I247, I248) [-1 <= I247 - 1 /\ -1 <= I246 - 1 /\ -1 <= I245 - 1 /\ -1 <= I243 - 1 /\ -1 <= I242 - 1 /\ -1 <= I241 - 1 /\ I247 <= I242 /\ I246 <= I241 /\ I245 <= I243] 3.31/3.34 f5(I249, I250, I251, I252) -> f6(I253, I254, I255, I252) [-1 <= I255 - 1 /\ -1 <= I254 - 1 /\ -1 <= I253 - 1 /\ -1 <= I251 - 1 /\ -1 <= I250 - 1 /\ -1 <= I249 - 1 /\ I255 <= I251 /\ I254 <= I250 /\ I253 <= I249] 3.31/3.34 f2(I256, I257, I258, I259) -> f4(I260, I261, I262, I263) [-1 <= I262 - 1 /\ -1 <= I261 - 1 /\ -1 <= I260 - 1 /\ -1 <= I257 - 1 /\ 0 <= I256 - 1 /\ I262 <= I257 /\ I259 <= I258 - 1 /\ 1 <= I258 - 1 /\ -1 <= I259 - 1 /\ I259 <= I259 + 5 - 1] 3.31/3.34 f3(I264, I265, I266, I267) -> f2(I268, I269, I265 + 3, I265) [-1 <= I269 - 1 /\ 0 <= I268 - 1 /\ 0 <= I264 - 1 /\ -1 <= I265 - 1 /\ I268 <= I264] 3.31/3.34 f1(I270, I271, I272, I273) -> f2(I274, I275, I272 + 3, I272) [-1 <= I275 - 1 /\ 0 <= I274 - 1 /\ -1 <= I271 - 1 /\ 0 <= I270 - 1 /\ I275 <= I271 /\ I274 - 1 <= I271 /\ -1 <= I272 - 1 /\ I274 <= I270] 3.31/3.34 3.31/6.32 EOF