# LTS Termination Proof

by AProVE

## Input

Integer Transition System
• Initial Location: l5, l22, l39, l1, l13, l31, l18, l17, l35, l21, l9, l14, l25, l6, l8, l34, l0, l12, l19, l26, l33, l40, l7, l24, l37, l11, l3, l41, l20, l32, l28, l42, l2, l23, l4, l38, l10, l36, l29, l16, l15, l30
• Transitions: (pre-variables and post-variables)  l0 1 l1: x1 = _cHAT0 ∧ x2 = _gHAT0 ∧ x3 = _hHAT0 ∧ x4 = _iHAT0 ∧ x5 = _ipHAT0 ∧ x6 = _iqHAT0 ∧ x7 = _jHAT0 ∧ x8 = _nHAT0 ∧ x9 = _sHAT0 ∧ x10 = _smHAT0 ∧ x11 = _tHAT0 ∧ x12 = _tauHAT0 ∧ x13 = _thetaHAT0 ∧ x14 = _tmpHAT0 ∧ x15 = _tmp___0HAT0 ∧ x16 = _tmp___10HAT0 ∧ x17 = _tmp___11HAT0 ∧ x18 = _tmp___1HAT0 ∧ x19 = _tmp___2HAT0 ∧ x20 = _tmp___3HAT0 ∧ x21 = _tmp___4HAT0 ∧ x22 = _tmp___5HAT0 ∧ x23 = _tmp___6HAT0 ∧ x24 = _tmp___7HAT0 ∧ x25 = _tmp___8HAT0 ∧ x26 = _tmp___9HAT0 ∧ x27 = _treshHAT0 ∧ x1 = _cHATpost ∧ x2 = _gHATpost ∧ x3 = _hHATpost ∧ x4 = _iHATpost ∧ x5 = _ipHATpost ∧ x6 = _iqHATpost ∧ x7 = _jHATpost ∧ x8 = _nHATpost ∧ x9 = _sHATpost ∧ x10 = _smHATpost ∧ x11 = _tHATpost ∧ x12 = _tauHATpost ∧ x13 = _thetaHATpost ∧ x14 = _tmpHATpost ∧ x15 = _tmp___0HATpost ∧ x16 = _tmp___10HATpost ∧ x17 = _tmp___11HATpost ∧ x18 = _tmp___1HATpost ∧ x19 = _tmp___2HATpost ∧ x20 = _tmp___3HATpost ∧ x21 = _tmp___4HATpost ∧ x22 = _tmp___5HATpost ∧ x23 = _tmp___6HATpost ∧ x24 = _tmp___7HATpost ∧ x25 = _tmp___8HATpost ∧ x26 = _tmp___9HATpost ∧ x27 = _treshHATpost ∧ _treshHAT0 = _treshHATpost ∧ _tmp___9HAT0 = _tmp___9HATpost ∧ _tmp___8HAT0 = _tmp___8HATpost ∧ _tmp___7HAT0 = _tmp___7HATpost ∧ _tmp___6HAT0 = _tmp___6HATpost ∧ _tmp___5HAT0 = _tmp___5HATpost ∧ _tmp___4HAT0 = _tmp___4HATpost ∧ _tmp___3HAT0 = _tmp___3HATpost ∧ _tmp___2HAT0 = _tmp___2HATpost ∧ _tmp___11HAT0 = _tmp___11HATpost ∧ _tmp___10HAT0 = _tmp___10HATpost ∧ _tmp___1HAT0 = _tmp___1HATpost ∧ _tmp___0HAT0 = _tmp___0HATpost ∧ _tmpHAT0 = _tmpHATpost ∧ _thetaHAT0 = _thetaHATpost ∧ _tauHAT0 = _tauHATpost ∧ _tHAT0 = _tHATpost ∧ _smHAT0 = _smHATpost ∧ _sHAT0 = _sHATpost ∧ _nHAT0 = _nHATpost ∧ _jHAT0 = _jHATpost ∧ _iqHAT0 = _iqHATpost ∧ _ipHAT0 = _ipHATpost ∧ _iHAT0 = _iHATpost ∧ _hHAT0 = _hHATpost ∧ _gHAT0 = _gHATpost ∧ _cHAT0 = _cHATpost ∧ _ipHAT0 ≤ _jHAT0 l0 2 l2: x1 = _x ∧ x2 = _x1 ∧ x3 = _x2 ∧ x4 = _x3 ∧ x5 = _x4 ∧ x6 = _x5 ∧ x7 = _x6 ∧ x8 = _x7 ∧ x9 = _x8 ∧ x10 = _x9 ∧ x11 = _x10 ∧ x12 = _x11 ∧ x13 = _x12 ∧ x14 = _x13 ∧ x15 = _x14 ∧ x16 = _x15 ∧ x17 = _x16 ∧ x18 = _x17 ∧ x19 = _x18 ∧ x20 = _x19 ∧ x21 = _x20 ∧ x22 = _x21 ∧ x23 = _x22 ∧ x24 = _x23 ∧ x25 = _x24 ∧ x26 = _x25 ∧ x27 = _x26 ∧ x1 = _x27 ∧ x2 = _x28 ∧ x3 = _x29 ∧ x4 = _x30 ∧ x5 = _x31 ∧ x6 = _x32 ∧ x7 = _x33 ∧ x8 = _x34 ∧ x9 = _x35 ∧ x10 = _x36 ∧ x11 = _x37 ∧ x12 = _x38 ∧ x13 = _x39 ∧ x14 = _x40 ∧ x15 = _x41 ∧ x16 = _x42 ∧ x17 = _x43 ∧ x18 = _x44 ∧ x19 = _x45 ∧ x20 = _x46 ∧ x21 = _x47 ∧ x22 = _x48 ∧ x23 = _x49 ∧ x24 = _x50 ∧ x25 = _x51 ∧ x26 = _x52 ∧ x27 = _x53 ∧ _x26 = _x53 ∧ _x25 = _x52 ∧ _x24 = _x51 ∧ _x23 = _x50 ∧ _x22 = _x49 ∧ _x21 = _x48 ∧ _x20 = _x47 ∧ _x19 = _x46 ∧ _x18 = _x45 ∧ _x16 = _x43 ∧ _x15 = _x42 ∧ _x17 = _x44 ∧ _x14 = _x41 ∧ _x13 = _x40 ∧ _x12 = _x39 ∧ _x11 = _x38 ∧ _x10 = _x37 ∧ _x9 = _x36 ∧ _x8 = _x35 ∧ _x7 = _x34 ∧ _x5 = _x32 ∧ _x4 = _x31 ∧ _x3 = _x30 ∧ _x = _x27 ∧ _x33 = 1 + _x6 ∧ _x29 = _x29 ∧ _x28 = _x28 ∧ _x6 ≤ −1 + _x4 l2 3 l0: x1 = _x54 ∧ x2 = _x55 ∧ x3 = _x56 ∧ x4 = _x57 ∧ x5 = _x58 ∧ x6 = _x59 ∧ x7 = _x60 ∧ x8 = _x61 ∧ x9 = _x62 ∧ x10 = _x63 ∧ x11 = _x64 ∧ x12 = _x65 ∧ x13 = _x66 ∧ x14 = _x67 ∧ x15 = _x68 ∧ x16 = _x69 ∧ x17 = _x70 ∧ x18 = _x71 ∧ x19 = _x72 ∧ x20 = _x73 ∧ x21 = _x74 ∧ x22 = _x75 ∧ x23 = _x76 ∧ x24 = _x77 ∧ x25 = _x78 ∧ x26 = _x79 ∧ x27 = _x80 ∧ x1 = _x81 ∧ x2 = _x82 ∧ x3 = _x83 ∧ x4 = _x84 ∧ x5 = _x85 ∧ x6 = _x86 ∧ x7 = _x87 ∧ x8 = _x88 ∧ x9 = _x89 ∧ x10 = _x90 ∧ x11 = _x91 ∧ x12 = _x92 ∧ x13 = _x93 ∧ x14 = _x94 ∧ x15 = _x95 ∧ x16 = _x96 ∧ x17 = _x97 ∧ x18 = _x98 ∧ x19 = _x99 ∧ x20 = _x100 ∧ x21 = _x101 ∧ x22 = _x102 ∧ x23 = _x103 ∧ x24 = _x104 ∧ x25 = _x105 ∧ x26 = _x106 ∧ x27 = _x107 ∧ _x80 = _x107 ∧ _x79 = _x106 ∧ _x78 = _x105 ∧ _x77 = _x104 ∧ _x76 = _x103 ∧ _x75 = _x102 ∧ _x74 = _x101 ∧ _x73 = _x100 ∧ _x72 = _x99 ∧ _x70 = _x97 ∧ _x69 = _x96 ∧ _x71 = _x98 ∧ _x68 = _x95 ∧ _x67 = _x94 ∧ _x66 = _x93 ∧ _x65 = _x92 ∧ _x64 = _x91 ∧ _x63 = _x90 ∧ _x62 = _x89 ∧ _x61 = _x88 ∧ _x60 = _x87 ∧ _x59 = _x86 ∧ _x58 = _x85 ∧ _x57 = _x84 ∧ _x56 = _x83 ∧ _x55 = _x82 ∧ _x54 = _x81 l3 4 l4: x1 = _x108 ∧ x2 = _x109 ∧ x3 = _x110 ∧ x4 = _x111 ∧ x5 = _x112 ∧ x6 = _x113 ∧ x7 = _x114 ∧ x8 = _x115 ∧ x9 = _x116 ∧ x10 = _x117 ∧ x11 = _x118 ∧ x12 = _x119 ∧ x13 = _x120 ∧ x14 = _x121 ∧ x15 = _x122 ∧ x16 = _x123 ∧ x17 = _x124 ∧ x18 = _x125 ∧ x19 = _x126 ∧ x20 = _x127 ∧ x21 = _x128 ∧ x22 = _x129 ∧ x23 = _x130 ∧ x24 = _x131 ∧ x25 = _x132 ∧ x26 = _x133 ∧ x27 = _x134 ∧ x1 = _x135 ∧ x2 = _x136 ∧ x3 = _x137 ∧ x4 = _x138 ∧ x5 = _x139 ∧ x6 = _x140 ∧ x7 = _x141 ∧ x8 = _x142 ∧ x9 = _x143 ∧ x10 = _x144 ∧ x11 = _x145 ∧ x12 = _x146 ∧ x13 = _x147 ∧ x14 = _x148 ∧ x15 = _x149 ∧ x16 = _x150 ∧ x17 = _x151 ∧ x18 = _x152 ∧ x19 = _x153 ∧ x20 = _x154 ∧ x21 = _x155 ∧ x22 = _x156 ∧ x23 = _x157 ∧ x24 = _x158 ∧ x25 = _x159 ∧ x26 = _x160 ∧ x27 = _x161 ∧ _x134 = _x161 ∧ _x133 = _x160 ∧ _x132 = _x159 ∧ _x131 = _x158 ∧ _x130 = _x157 ∧ _x129 = _x156 ∧ _x128 = _x155 ∧ _x127 = _x154 ∧ _x126 = _x153 ∧ _x124 = _x151 ∧ _x123 = _x150 ∧ _x125 = _x152 ∧ _x122 = _x149 ∧ _x121 = _x148 ∧ _x120 = _x147 ∧ _x119 = _x146 ∧ _x118 = _x145 ∧ _x117 = _x144 ∧ _x116 = _x143 ∧ _x115 = _x142 ∧ _x114 = _x141 ∧ _x113 = _x140 ∧ _x112 = _x139 ∧ _x111 = _x138 ∧ _x110 = _x137 ∧ _x109 = _x136 ∧ _x108 = _x135 ∧ 0 ≤ _x120 l3 5 l4: x1 = _x162 ∧ x2 = _x163 ∧ x3 = _x164 ∧ x4 = _x165 ∧ x5 = _x166 ∧ x6 = _x167 ∧ x7 = _x168 ∧ x8 = _x169 ∧ x9 = _x170 ∧ x10 = _x171 ∧ x11 = _x172 ∧ x12 = _x173 ∧ x13 = _x174 ∧ x14 = _x175 ∧ x15 = _x176 ∧ x16 = _x177 ∧ x17 = _x178 ∧ x18 = _x179 ∧ x19 = _x180 ∧ x20 = _x181 ∧ x21 = _x182 ∧ x22 = _x183 ∧ x23 = _x184 ∧ x24 = _x185 ∧ x25 = _x186 ∧ x26 = _x187 ∧ x27 = _x188 ∧ x1 = _x189 ∧ x2 = _x190 ∧ x3 = _x191 ∧ x4 = _x192 ∧ x5 = _x193 ∧ x6 = _x194 ∧ x7 = _x195 ∧ x8 = _x196 ∧ x9 = _x197 ∧ x10 = _x198 ∧ x11 = _x199 ∧ x12 = _x200 ∧ x13 = _x201 ∧ x14 = _x202 ∧ x15 = _x203 ∧ x16 = _x204 ∧ x17 = _x205 ∧ x18 = _x206 ∧ x19 = _x207 ∧ x20 = _x208 ∧ x21 = _x209 ∧ x22 = _x210 ∧ x23 = _x211 ∧ x24 = _x212 ∧ x25 = _x213 ∧ x26 = _x214 ∧ x27 = _x215 ∧ _x188 = _x215 ∧ _x187 = _x214 ∧ _x186 = _x213 ∧ _x185 = _x212 ∧ _x184 = _x211 ∧ _x183 = _x210 ∧ _x182 = _x209 ∧ _x181 = _x208 ∧ _x180 = _x207 ∧ _x178 = _x205 ∧ _x177 = _x204 ∧ _x179 = _x206 ∧ _x176 = _x203 ∧ _x175 = _x202 ∧ _x174 = _x201 ∧ _x173 = _x200 ∧ _x171 = _x198 ∧ _x170 = _x197 ∧ _x169 = _x196 ∧ _x168 = _x195 ∧ _x167 = _x194 ∧ _x166 = _x193 ∧ _x165 = _x192 ∧ _x164 = _x191 ∧ _x163 = _x190 ∧ _x162 = _x189 ∧ _x199 = − _x172 ∧ 1 + _x174 ≤ 0 l5 6 l6: x1 = _x216 ∧ x2 = _x217 ∧ x3 = _x218 ∧ x4 = _x219 ∧ x5 = _x220 ∧ x6 = _x221 ∧ x7 = _x222 ∧ x8 = _x223 ∧ x9 = _x224 ∧ x10 = _x225 ∧ x11 = _x226 ∧ x12 = _x227 ∧ x13 = _x228 ∧ x14 = _x229 ∧ x15 = _x230 ∧ x16 = _x231 ∧ x17 = _x232 ∧ x18 = _x233 ∧ x19 = _x234 ∧ x20 = _x235 ∧ x21 = _x236 ∧ x22 = _x237 ∧ x23 = _x238 ∧ x24 = _x239 ∧ x25 = _x240 ∧ x26 = _x241 ∧ x27 = _x242 ∧ x1 = _x243 ∧ x2 = _x244 ∧ x3 = _x245 ∧ x4 = _x246 ∧ x5 = _x247 ∧ x6 = _x248 ∧ x7 = _x249 ∧ x8 = _x250 ∧ x9 = _x251 ∧ x10 = _x252 ∧ x11 = _x253 ∧ x12 = _x254 ∧ x13 = _x255 ∧ x14 = _x256 ∧ x15 = _x257 ∧ x16 = _x258 ∧ x17 = _x259 ∧ x18 = _x260 ∧ x19 = _x261 ∧ x20 = _x262 ∧ x21 = _x263 ∧ x22 = _x264 ∧ x23 = _x265 ∧ x24 = _x266 ∧ x25 = _x267 ∧ x26 = _x268 ∧ x27 = _x269 ∧ _x242 = _x269 ∧ _x241 = _x268 ∧ _x240 = _x267 ∧ _x239 = _x266 ∧ _x238 = _x265 ∧ _x237 = _x264 ∧ _x236 = _x263 ∧ _x235 = _x262 ∧ _x234 = _x261 ∧ _x232 = _x259 ∧ _x231 = _x258 ∧ _x233 = _x260 ∧ _x230 = _x257 ∧ _x229 = _x256 ∧ _x228 = _x255 ∧ _x227 = _x254 ∧ _x226 = _x253 ∧ _x225 = _x252 ∧ _x224 = _x251 ∧ _x223 = _x250 ∧ _x222 = _x249 ∧ _x221 = _x248 ∧ _x219 = _x246 ∧ _x218 = _x245 ∧ _x217 = _x244 ∧ _x216 = _x243 ∧ _x247 = 1 + _x220 ∧ 1 + _x223 ≤ _x221 l5 7 l7: x1 = _x270 ∧ x2 = _x271 ∧ x3 = _x272 ∧ x4 = _x273 ∧ x5 = _x274 ∧ x6 = _x275 ∧ x7 = _x276 ∧ x8 = _x277 ∧ x9 = _x278 ∧ x10 = _x279 ∧ x11 = _x280 ∧ x12 = _x281 ∧ x13 = _x282 ∧ x14 = _x283 ∧ x15 = _x284 ∧ x16 = _x285 ∧ x17 = _x286 ∧ x18 = _x287 ∧ x19 = _x288 ∧ x20 = _x289 ∧ x21 = _x290 ∧ x22 = _x291 ∧ x23 = _x292 ∧ x24 = _x293 ∧ x25 = _x294 ∧ x26 = _x295 ∧ x27 = _x296 ∧ x1 = _x297 ∧ x2 = _x298 ∧ x3 = _x299 ∧ x4 = _x300 ∧ x5 = _x301 ∧ x6 = _x302 ∧ x7 = _x303 ∧ x8 = _x304 ∧ x9 = _x305 ∧ x10 = _x306 ∧ x11 = _x307 ∧ x12 = _x308 ∧ x13 = _x309 ∧ x14 = _x310 ∧ x15 = _x311 ∧ x16 = _x312 ∧ x17 = _x313 ∧ x18 = _x314 ∧ x19 = _x315 ∧ x20 = _x316 ∧ x21 = _x317 ∧ x22 = _x318 ∧ x23 = _x319 ∧ x24 = _x320 ∧ x25 = _x321 ∧ x26 = _x322 ∧ x27 = _x323 ∧ _x296 = _x323 ∧ _x295 = _x322 ∧ _x294 = _x321 ∧ _x293 = _x320 ∧ _x292 = _x319 ∧ _x291 = _x318 ∧ _x290 = _x317 ∧ _x289 = _x316 ∧ _x288 = _x315 ∧ _x286 = _x313 ∧ _x285 = _x312 ∧ _x287 = _x314 ∧ _x284 = _x311 ∧ _x283 = _x310 ∧ _x282 = _x309 ∧ _x281 = _x308 ∧ _x280 = _x307 ∧ _x279 = _x306 ∧ _x278 = _x305 ∧ _x277 = _x304 ∧ _x276 = _x303 ∧ _x274 = _x301 ∧ _x273 = _x300 ∧ _x272 = _x299 ∧ _x271 = _x298 ∧ _x270 = _x297 ∧ _x302 = 1 + _x275 ∧ _x275 ≤ _x277 l8 8 l3: x1 = _x324 ∧ x2 = _x325 ∧ x3 = _x326 ∧ x4 = _x327 ∧ x5 = _x328 ∧ x6 = _x329 ∧ x7 = _x330 ∧ x8 = _x331 ∧ x9 = _x332 ∧ x10 = _x333 ∧ x11 = _x334 ∧ x12 = _x335 ∧ x13 = _x336 ∧ x14 = _x337 ∧ x15 = _x338 ∧ x16 = _x339 ∧ x17 = _x340 ∧ x18 = _x341 ∧ x19 = _x342 ∧ x20 = _x343 ∧ x21 = _x344 ∧ x22 = _x345 ∧ x23 = _x346 ∧ x24 = _x347 ∧ x25 = _x348 ∧ x26 = _x349 ∧ x27 = _x350 ∧ x1 = _x351 ∧ x2 = _x352 ∧ x3 = _x353 ∧ x4 = _x354 ∧ x5 = _x355 ∧ x6 = _x356 ∧ x7 = _x357 ∧ x8 = _x358 ∧ x9 = _x359 ∧ x10 = _x360 ∧ x11 = _x361 ∧ x12 = _x362 ∧ x13 = _x363 ∧ x14 = _x364 ∧ x15 = _x365 ∧ x16 = _x366 ∧ x17 = _x367 ∧ x18 = _x368 ∧ x19 = _x369 ∧ x20 = _x370 ∧ x21 = _x371 ∧ x22 = _x372 ∧ x23 = _x373 ∧ x24 = _x374 ∧ x25 = _x375 ∧ x26 = _x376 ∧ x27 = _x377 ∧ _x350 = _x377 ∧ _x349 = _x376 ∧ _x348 = _x375 ∧ _x347 = _x374 ∧ _x346 = _x373 ∧ _x345 = _x372 ∧ _x344 = _x371 ∧ _x340 = _x367 ∧ _x339 = _x366 ∧ _x341 = _x368 ∧ _x338 = _x365 ∧ _x337 = _x364 ∧ _x335 = _x362 ∧ _x333 = _x360 ∧ _x332 = _x359 ∧ _x331 = _x358 ∧ _x330 = _x357 ∧ _x329 = _x356 ∧ _x328 = _x355 ∧ _x327 = _x354 ∧ _x326 = _x353 ∧ _x325 = _x352 ∧ _x324 = _x351 ∧ _x361 = _x361 ∧ _x370 = _x370 ∧ _x369 = _x369 ∧ _x363 = _x363 l4 9 l2: x1 = _x378 ∧ x2 = _x379 ∧ x3 = _x380 ∧ x4 = _x381 ∧ x5 = _x382 ∧ x6 = _x383 ∧ x7 = _x384 ∧ x8 = _x385 ∧ x9 = _x386 ∧ x10 = _x387 ∧ x11 = _x388 ∧ x12 = _x389 ∧ x13 = _x390 ∧ x14 = _x391 ∧ x15 = _x392 ∧ x16 = _x393 ∧ x17 = _x394 ∧ x18 = _x395 ∧ x19 = _x396 ∧ x20 = _x397 ∧ x21 = _x398 ∧ x22 = _x399 ∧ x23 = _x400 ∧ x24 = _x401 ∧ x25 = _x402 ∧ x26 = _x403 ∧ x27 = _x404 ∧ x1 = _x405 ∧ x2 = _x406 ∧ x3 = _x407 ∧ x4 = _x408 ∧ x5 = _x409 ∧ x6 = _x410 ∧ x7 = _x411 ∧ x8 = _x412 ∧ x9 = _x413 ∧ x10 = _x414 ∧ x11 = _x415 ∧ x12 = _x416 ∧ x13 = _x417 ∧ x14 = _x418 ∧ x15 = _x419 ∧ x16 = _x420 ∧ x17 = _x421 ∧ x18 = _x422 ∧ x19 = _x423 ∧ x20 = _x424 ∧ x21 = _x425 ∧ x22 = _x426 ∧ x23 = _x427 ∧ x24 = _x428 ∧ x25 = _x429 ∧ x26 = _x430 ∧ x27 = _x431 ∧ _x404 = _x431 ∧ _x403 = _x430 ∧ _x402 = _x429 ∧ _x401 = _x428 ∧ _x399 = _x426 ∧ _x398 = _x425 ∧ _x397 = _x424 ∧ _x396 = _x423 ∧ _x394 = _x421 ∧ _x393 = _x420 ∧ _x395 = _x422 ∧ _x392 = _x419 ∧ _x391 = _x418 ∧ _x390 = _x417 ∧ _x388 = _x415 ∧ _x387 = _x414 ∧ _x385 = _x412 ∧ _x384 = _x411 ∧ _x383 = _x410 ∧ _x382 = _x409 ∧ _x381 = _x408 ∧ _x379 = _x406 ∧ _x407 = _x407 ∧ _x416 = _x416 ∧ _x413 = _x413 ∧ _x405 = _x405 ∧ _x427 = _x427 l9 10 l8: x1 = _x432 ∧ x2 = _x433 ∧ x3 = _x434 ∧ x4 = _x435 ∧ x5 = _x436 ∧ x6 = _x437 ∧ x7 = _x438 ∧ x8 = _x439 ∧ x9 = _x440 ∧ x10 = _x441 ∧ x11 = _x442 ∧ x12 = _x443 ∧ x13 = _x444 ∧ x14 = _x445 ∧ x15 = _x446 ∧ x16 = _x447 ∧ x17 = _x448 ∧ x18 = _x449 ∧ x19 = _x450 ∧ x20 = _x451 ∧ x21 = _x452 ∧ x22 = _x453 ∧ x23 = _x454 ∧ x24 = _x455 ∧ x25 = _x456 ∧ x26 = _x457 ∧ x27 = _x458 ∧ x1 = _x459 ∧ x2 = _x460 ∧ x3 = _x461 ∧ x4 = _x462 ∧ x5 = _x463 ∧ x6 = _x464 ∧ x7 = _x465 ∧ x8 = _x466 ∧ x9 = _x467 ∧ x10 = _x468 ∧ x11 = _x469 ∧ x12 = _x470 ∧ x13 = _x471 ∧ x14 = _x472 ∧ x15 = _x473 ∧ x16 = _x474 ∧ x17 = _x475 ∧ x18 = _x476 ∧ x19 = _x477 ∧ x20 = _x478 ∧ x21 = _x479 ∧ x22 = _x480 ∧ x23 = _x481 ∧ x24 = _x482 ∧ x25 = _x483 ∧ x26 = _x484 ∧ x27 = _x485 ∧ _x458 = _x485 ∧ _x457 = _x484 ∧ _x456 = _x483 ∧ _x455 = _x482 ∧ _x454 = _x481 ∧ _x453 = _x480 ∧ _x452 = _x479 ∧ _x451 = _x478 ∧ _x450 = _x477 ∧ _x448 = _x475 ∧ _x447 = _x474 ∧ _x449 = _x476 ∧ _x446 = _x473 ∧ _x445 = _x472 ∧ _x444 = _x471 ∧ _x443 = _x470 ∧ _x442 = _x469 ∧ _x441 = _x468 ∧ _x440 = _x467 ∧ _x439 = _x466 ∧ _x438 = _x465 ∧ _x437 = _x464 ∧ _x436 = _x463 ∧ _x435 = _x462 ∧ _x434 = _x461 ∧ _x433 = _x460 ∧ _x432 = _x459 ∧ 1 + _x453 ≤ _x433 + _x452 l9 11 l8: x1 = _x486 ∧ x2 = _x487 ∧ x3 = _x488 ∧ x4 = _x489 ∧ x5 = _x490 ∧ x6 = _x491 ∧ x7 = _x492 ∧ x8 = _x493 ∧ x9 = _x494 ∧ x10 = _x495 ∧ x11 = _x496 ∧ x12 = _x497 ∧ x13 = _x498 ∧ x14 = _x499 ∧ x15 = _x500 ∧ x16 = _x501 ∧ x17 = _x502 ∧ x18 = _x503 ∧ x19 = _x504 ∧ x20 = _x505 ∧ x21 = _x506 ∧ x22 = _x507 ∧ x23 = _x508 ∧ x24 = _x509 ∧ x25 = _x510 ∧ x26 = _x511 ∧ x27 = _x512 ∧ x1 = _x513 ∧ x2 = _x514 ∧ x3 = _x515 ∧ x4 = _x516 ∧ x5 = _x517 ∧ x6 = _x518 ∧ x7 = _x519 ∧ x8 = _x520 ∧ x9 = _x521 ∧ x10 = _x522 ∧ x11 = _x523 ∧ x12 = _x524 ∧ x13 = _x525 ∧ x14 = _x526 ∧ x15 = _x527 ∧ x16 = _x528 ∧ x17 = _x529 ∧ x18 = _x530 ∧ x19 = _x531 ∧ x20 = _x532 ∧ x21 = _x533 ∧ x22 = _x534 ∧ x23 = _x535 ∧ x24 = _x536 ∧ x25 = _x537 ∧ x26 = _x538 ∧ x27 = _x539 ∧ _x512 = _x539 ∧ _x511 = _x538 ∧ _x510 = _x537 ∧ _x509 = _x536 ∧ _x508 = _x535 ∧ _x507 = _x534 ∧ _x506 = _x533 ∧ _x505 = _x532 ∧ _x504 = _x531 ∧ _x502 = _x529 ∧ _x501 = _x528 ∧ _x503 = _x530 ∧ _x500 = _x527 ∧ _x499 = _x526 ∧ _x498 = _x525 ∧ _x497 = _x524 ∧ _x496 = _x523 ∧ _x495 = _x522 ∧ _x494 = _x521 ∧ _x493 = _x520 ∧ _x492 = _x519 ∧ _x491 = _x518 ∧ _x490 = _x517 ∧ _x489 = _x516 ∧ _x488 = _x515 ∧ _x487 = _x514 ∧ _x486 = _x513 ∧ 1 + _x487 + _x506 ≤ _x507 l9 12 l4: x1 = _x540 ∧ x2 = _x541 ∧ x3 = _x542 ∧ x4 = _x543 ∧ x5 = _x544 ∧ x6 = _x545 ∧ x7 = _x546 ∧ x8 = _x547 ∧ x9 = _x548 ∧ x10 = _x549 ∧ x11 = _x550 ∧ x12 = _x551 ∧ x13 = _x552 ∧ x14 = _x553 ∧ x15 = _x554 ∧ x16 = _x555 ∧ x17 = _x556 ∧ x18 = _x557 ∧ x19 = _x558 ∧ x20 = _x559 ∧ x21 = _x560 ∧ x22 = _x561 ∧ x23 = _x562 ∧ x24 = _x563 ∧ x25 = _x564 ∧ x26 = _x565 ∧ x27 = _x566 ∧ x1 = _x567 ∧ x2 = _x568 ∧ x3 = _x569 ∧ x4 = _x570 ∧ x5 = _x571 ∧ x6 = _x572 ∧ x7 = _x573 ∧ x8 = _x574 ∧ x9 = _x575 ∧ x10 = _x576 ∧ x11 = _x577 ∧ x12 = _x578 ∧ x13 = _x579 ∧ x14 = _x580 ∧ x15 = _x581 ∧ x16 = _x582 ∧ x17 = _x583 ∧ x18 = _x584 ∧ x19 = _x585 ∧ x20 = _x586 ∧ x21 = _x587 ∧ x22 = _x588 ∧ x23 = _x589 ∧ x24 = _x590 ∧ x25 = _x591 ∧ x26 = _x592 ∧ x27 = _x593 ∧ _x566 = _x593 ∧ _x565 = _x592 ∧ _x564 = _x591 ∧ _x563 = _x590 ∧ _x562 = _x589 ∧ _x561 = _x588 ∧ _x560 = _x587 ∧ _x559 = _x586 ∧ _x558 = _x585 ∧ _x556 = _x583 ∧ _x555 = _x582 ∧ _x557 = _x584 ∧ _x554 = _x581 ∧ _x553 = _x580 ∧ _x552 = _x579 ∧ _x551 = _x578 ∧ _x549 = _x576 ∧ _x548 = _x575 ∧ _x547 = _x574 ∧ _x546 = _x573 ∧ _x545 = _x572 ∧ _x544 = _x571 ∧ _x543 = _x570 ∧ _x542 = _x569 ∧ _x541 = _x568 ∧ _x540 = _x567 ∧ _x577 = _x577 ∧ _x561 ≤ _x541 + _x560 ∧ _x541 + _x560 ≤ _x561 l10 13 l11: x1 = _x594 ∧ x2 = _x595 ∧ x3 = _x596 ∧ x4 = _x597 ∧ x5 = _x598 ∧ x6 = _x599 ∧ x7 = _x600 ∧ x8 = _x601 ∧ x9 = _x602 ∧ x10 = _x603 ∧ x11 = _x604 ∧ x12 = _x605 ∧ x13 = _x606 ∧ x14 = _x607 ∧ x15 = _x608 ∧ x16 = _x609 ∧ x17 = _x610 ∧ x18 = _x611 ∧ x19 = _x612 ∧ x20 = _x613 ∧ x21 = _x614 ∧ x22 = _x615 ∧ x23 = _x616 ∧ x24 = _x617 ∧ x25 = _x618 ∧ x26 = _x619 ∧ x27 = _x620 ∧ x1 = _x621 ∧ x2 = _x622 ∧ x3 = _x623 ∧ x4 = _x624 ∧ x5 = _x625 ∧ x6 = _x626 ∧ x7 = _x627 ∧ x8 = _x628 ∧ x9 = _x629 ∧ x10 = _x630 ∧ x11 = _x631 ∧ x12 = _x632 ∧ x13 = _x633 ∧ x14 = _x634 ∧ x15 = _x635 ∧ x16 = _x636 ∧ x17 = _x637 ∧ x18 = _x638 ∧ x19 = _x639 ∧ x20 = _x640 ∧ x21 = _x641 ∧ x22 = _x642 ∧ x23 = _x643 ∧ x24 = _x644 ∧ x25 = _x645 ∧ x26 = _x646 ∧ x27 = _x647 ∧ _x620 = _x647 ∧ _x619 = _x646 ∧ _x618 = _x645 ∧ _x617 = _x644 ∧ _x616 = _x643 ∧ _x615 = _x642 ∧ _x614 = _x641 ∧ _x613 = _x640 ∧ _x612 = _x639 ∧ _x610 = _x637 ∧ _x609 = _x636 ∧ _x611 = _x638 ∧ _x608 = _x635 ∧ _x607 = _x634 ∧ _x606 = _x633 ∧ _x605 = _x632 ∧ _x604 = _x631 ∧ _x603 = _x630 ∧ _x602 = _x629 ∧ _x601 = _x628 ∧ _x600 = _x627 ∧ _x599 = _x626 ∧ _x598 = _x625 ∧ _x597 = _x624 ∧ _x596 = _x623 ∧ _x595 = _x622 ∧ _x594 = _x621 ∧ _x617 ≤ _x620 l10 14 l9: x1 = _x648 ∧ x2 = _x649 ∧ x3 = _x650 ∧ x4 = _x651 ∧ x5 = _x652 ∧ x6 = _x653 ∧ x7 = _x654 ∧ x8 = _x655 ∧ x9 = _x656 ∧ x10 = _x657 ∧ x11 = _x658 ∧ x12 = _x659 ∧ x13 = _x660 ∧ x14 = _x661 ∧ x15 = _x662 ∧ x16 = _x663 ∧ x17 = _x664 ∧ x18 = _x665 ∧ x19 = _x666 ∧ x20 = _x667 ∧ x21 = _x668 ∧ x22 = _x669 ∧ x23 = _x670 ∧ x24 = _x671 ∧ x25 = _x672 ∧ x26 = _x673 ∧ x27 = _x674 ∧ x1 = _x675 ∧ x2 = _x676 ∧ x3 = _x677 ∧ x4 = _x678 ∧ x5 = _x679 ∧ x6 = _x680 ∧ x7 = _x681 ∧ x8 = _x682 ∧ x9 = _x683 ∧ x10 = _x684 ∧ x11 = _x685 ∧ x12 = _x686 ∧ x13 = _x687 ∧ x14 = _x688 ∧ x15 = _x689 ∧ x16 = _x690 ∧ x17 = _x691 ∧ x18 = _x692 ∧ x19 = _x693 ∧ x20 = _x694 ∧ x21 = _x695 ∧ x22 = _x696 ∧ x23 = _x697 ∧ x24 = _x698 ∧ x25 = _x699 ∧ x26 = _x700 ∧ x27 = _x701 ∧ _x674 = _x701 ∧ _x673 = _x700 ∧ _x672 = _x699 ∧ _x671 = _x698 ∧ _x670 = _x697 ∧ _x667 = _x694 ∧ _x666 = _x693 ∧ _x664 = _x691 ∧ _x663 = _x690 ∧ _x665 = _x692 ∧ _x662 = _x689 ∧ _x661 = _x688 ∧ _x660 = _x687 ∧ _x659 = _x686 ∧ _x658 = _x685 ∧ _x657 = _x684 ∧ _x656 = _x683 ∧ _x655 = _x682 ∧ _x654 = _x681 ∧ _x653 = _x680 ∧ _x652 = _x679 ∧ _x651 = _x678 ∧ _x649 = _x676 ∧ _x648 = _x675 ∧ _x696 = _x696 ∧ _x695 = _x695 ∧ _x677 = _x677 ∧ 1 + _x674 ≤ _x671 l12 15 l10: x1 = _x702 ∧ x2 = _x703 ∧ x3 = _x704 ∧ x4 = _x705 ∧ x5 = _x706 ∧ x6 = _x707 ∧ x7 = _x708 ∧ x8 = _x709 ∧ x9 = _x710 ∧ x10 = _x711 ∧ x11 = _x712 ∧ x12 = _x713 ∧ x13 = _x714 ∧ x14 = _x715 ∧ x15 = _x716 ∧ x16 = _x717 ∧ x17 = _x718 ∧ x18 = _x719 ∧ x19 = _x720 ∧ x20 = _x721 ∧ x21 = _x722 ∧ x22 = _x723 ∧ x23 = _x724 ∧ x24 = _x725 ∧ x25 = _x726 ∧ x26 = _x727 ∧ x27 = _x728 ∧ x1 = _x729 ∧ x2 = _x730 ∧ x3 = _x731 ∧ x4 = _x732 ∧ x5 = _x733 ∧ x6 = _x734 ∧ x7 = _x735 ∧ x8 = _x736 ∧ x9 = _x737 ∧ x10 = _x738 ∧ x11 = _x739 ∧ x12 = _x740 ∧ x13 = _x741 ∧ x14 = _x742 ∧ x15 = _x743 ∧ x16 = _x744 ∧ x17 = _x745 ∧ x18 = _x746 ∧ x19 = _x747 ∧ x20 = _x748 ∧ x21 = _x749 ∧ x22 = _x750 ∧ x23 = _x751 ∧ x24 = _x752 ∧ x25 = _x753 ∧ x26 = _x754 ∧ x27 = _x755 ∧ _x728 = _x755 ∧ _x727 = _x754 ∧ _x726 = _x753 ∧ _x724 = _x751 ∧ _x723 = _x750 ∧ _x722 = _x749 ∧ _x721 = _x748 ∧ _x720 = _x747 ∧ _x718 = _x745 ∧ _x717 = _x744 ∧ _x719 = _x746 ∧ _x716 = _x743 ∧ _x715 = _x742 ∧ _x714 = _x741 ∧ _x713 = _x740 ∧ _x712 = _x739 ∧ _x711 = _x738 ∧ _x710 = _x737 ∧ _x709 = _x736 ∧ _x708 = _x735 ∧ _x707 = _x734 ∧ _x706 = _x733 ∧ _x705 = _x732 ∧ _x704 = _x731 ∧ _x703 = _x730 ∧ _x702 = _x729 ∧ _x752 = _x752 l13 16 l12: x1 = _x756 ∧ x2 = _x757 ∧ x3 = _x758 ∧ x4 = _x759 ∧ x5 = _x760 ∧ x6 = _x761 ∧ x7 = _x762 ∧ x8 = _x763 ∧ x9 = _x764 ∧ x10 = _x765 ∧ x11 = _x766 ∧ x12 = _x767 ∧ x13 = _x768 ∧ x14 = _x769 ∧ x15 = _x770 ∧ x16 = _x771 ∧ x17 = _x772 ∧ x18 = _x773 ∧ x19 = _x774 ∧ x20 = _x775 ∧ x21 = _x776 ∧ x22 = _x777 ∧ x23 = _x778 ∧ x24 = _x779 ∧ x25 = _x780 ∧ x26 = _x781 ∧ x27 = _x782 ∧ x1 = _x783 ∧ x2 = _x784 ∧ x3 = _x785 ∧ x4 = _x786 ∧ x5 = _x787 ∧ x6 = _x788 ∧ x7 = _x789 ∧ x8 = _x790 ∧ x9 = _x791 ∧ x10 = _x792 ∧ x11 = _x793 ∧ x12 = _x794 ∧ x13 = _x795 ∧ x14 = _x796 ∧ x15 = _x797 ∧ x16 = _x798 ∧ x17 = _x799 ∧ x18 = _x800 ∧ x19 = _x801 ∧ x20 = _x802 ∧ x21 = _x803 ∧ x22 = _x804 ∧ x23 = _x805 ∧ x24 = _x806 ∧ x25 = _x807 ∧ x26 = _x808 ∧ x27 = _x809 ∧ _x782 = _x809 ∧ _x781 = _x808 ∧ _x780 = _x807 ∧ _x779 = _x806 ∧ _x778 = _x805 ∧ _x777 = _x804 ∧ _x776 = _x803 ∧ _x775 = _x802 ∧ _x774 = _x801 ∧ _x772 = _x799 ∧ _x771 = _x798 ∧ _x773 = _x800 ∧ _x770 = _x797 ∧ _x769 = _x796 ∧ _x768 = _x795 ∧ _x767 = _x794 ∧ _x766 = _x793 ∧ _x765 = _x792 ∧ _x764 = _x791 ∧ _x763 = _x790 ∧ _x762 = _x789 ∧ _x761 = _x788 ∧ _x760 = _x787 ∧ _x759 = _x786 ∧ _x758 = _x785 ∧ _x757 = _x784 ∧ _x756 = _x783 l14 17 l12: x1 = _x810 ∧ x2 = _x811 ∧ x3 = _x812 ∧ x4 = _x813 ∧ x5 = _x814 ∧ x6 = _x815 ∧ x7 = _x816 ∧ x8 = _x817 ∧ x9 = _x818 ∧ x10 = _x819 ∧ x11 = _x820 ∧ x12 = _x821 ∧ x13 = _x822 ∧ x14 = _x823 ∧ x15 = _x824 ∧ x16 = _x825 ∧ x17 = _x826 ∧ x18 = _x827 ∧ x19 = _x828 ∧ x20 = _x829 ∧ x21 = _x830 ∧ x22 = _x831 ∧ x23 = _x832 ∧ x24 = _x833 ∧ x25 = _x834 ∧ x26 = _x835 ∧ x27 = _x836 ∧ x1 = _x837 ∧ x2 = _x838 ∧ x3 = _x839 ∧ x4 = _x840 ∧ x5 = _x841 ∧ x6 = _x842 ∧ x7 = _x843 ∧ x8 = _x844 ∧ x9 = _x845 ∧ x10 = _x846 ∧ x11 = _x847 ∧ x12 = _x848 ∧ x13 = _x849 ∧ x14 = _x850 ∧ x15 = _x851 ∧ x16 = _x852 ∧ x17 = _x853 ∧ x18 = _x854 ∧ x19 = _x855 ∧ x20 = _x856 ∧ x21 = _x857 ∧ x22 = _x858 ∧ x23 = _x859 ∧ x24 = _x860 ∧ x25 = _x861 ∧ x26 = _x862 ∧ x27 = _x863 ∧ _x836 = _x863 ∧ _x835 = _x862 ∧ _x834 = _x861 ∧ _x833 = _x860 ∧ _x832 = _x859 ∧ _x831 = _x858 ∧ _x830 = _x857 ∧ _x829 = _x856 ∧ _x828 = _x855 ∧ _x826 = _x853 ∧ _x825 = _x852 ∧ _x827 = _x854 ∧ _x824 = _x851 ∧ _x823 = _x850 ∧ _x822 = _x849 ∧ _x821 = _x848 ∧ _x820 = _x847 ∧ _x819 = _x846 ∧ _x818 = _x845 ∧ _x817 = _x844 ∧ _x816 = _x843 ∧ _x815 = _x842 ∧ _x814 = _x841 ∧ _x813 = _x840 ∧ _x812 = _x839 ∧ _x811 = _x838 ∧ _x810 = _x837 l11 18 l15: x1 = _x864 ∧ x2 = _x865 ∧ x3 = _x866 ∧ x4 = _x867 ∧ x5 = _x868 ∧ x6 = _x869 ∧ x7 = _x870 ∧ x8 = _x871 ∧ x9 = _x872 ∧ x10 = _x873 ∧ x11 = _x874 ∧ x12 = _x875 ∧ x13 = _x876 ∧ x14 = _x877 ∧ x15 = _x878 ∧ x16 = _x879 ∧ x17 = _x880 ∧ x18 = _x881 ∧ x19 = _x882 ∧ x20 = _x883 ∧ x21 = _x884 ∧ x22 = _x885 ∧ x23 = _x886 ∧ x24 = _x887 ∧ x25 = _x888 ∧ x26 = _x889 ∧ x27 = _x890 ∧ x1 = _x891 ∧ x2 = _x892 ∧ x3 = _x893 ∧ x4 = _x894 ∧ x5 = _x895 ∧ x6 = _x896 ∧ x7 = _x897 ∧ x8 = _x898 ∧ x9 = _x899 ∧ x10 = _x900 ∧ x11 = _x901 ∧ x12 = _x902 ∧ x13 = _x903 ∧ x14 = _x904 ∧ x15 = _x905 ∧ x16 = _x906 ∧ x17 = _x907 ∧ x18 = _x908 ∧ x19 = _x909 ∧ x20 = _x910 ∧ x21 = _x911 ∧ x22 = _x912 ∧ x23 = _x913 ∧ x24 = _x914 ∧ x25 = _x915 ∧ x26 = _x916 ∧ x27 = _x917 ∧ _x890 = _x917 ∧ _x889 = _x916 ∧ _x888 = _x915 ∧ _x887 = _x914 ∧ _x886 = _x913 ∧ _x885 = _x912 ∧ _x884 = _x911 ∧ _x883 = _x910 ∧ _x882 = _x909 ∧ _x880 = _x907 ∧ _x879 = _x906 ∧ _x881 = _x908 ∧ _x878 = _x905 ∧ _x877 = _x904 ∧ _x876 = _x903 ∧ _x875 = _x902 ∧ _x874 = _x901 ∧ _x873 = _x900 ∧ _x872 = _x899 ∧ _x871 = _x898 ∧ _x870 = _x897 ∧ _x868 = _x895 ∧ _x867 = _x894 ∧ _x866 = _x893 ∧ _x865 = _x892 ∧ _x864 = _x891 ∧ _x896 = 1 + _x869 l16 19 l14: x1 = _x918 ∧ x2 = _x919 ∧ x3 = _x920 ∧ x4 = _x921 ∧ x5 = _x922 ∧ x6 = _x923 ∧ x7 = _x924 ∧ x8 = _x925 ∧ x9 = _x926 ∧ x10 = _x927 ∧ x11 = _x928 ∧ x12 = _x929 ∧ x13 = _x930 ∧ x14 = _x931 ∧ x15 = _x932 ∧ x16 = _x933 ∧ x17 = _x934 ∧ x18 = _x935 ∧ x19 = _x936 ∧ x20 = _x937 ∧ x21 = _x938 ∧ x22 = _x939 ∧ x23 = _x940 ∧ x24 = _x941 ∧ x25 = _x942 ∧ x26 = _x943 ∧ x27 = _x944 ∧ x1 = _x945 ∧ x2 = _x946 ∧ x3 = _x947 ∧ x4 = _x948 ∧ x5 = _x949 ∧ x6 = _x950 ∧ x7 = _x951 ∧ x8 = _x952 ∧ x9 = _x953 ∧ x10 = _x954 ∧ x11 = _x955 ∧ x12 = _x956 ∧ x13 = _x957 ∧ x14 = _x958 ∧ x15 = _x959 ∧ x16 = _x960 ∧ x17 = _x961 ∧ x18 = _x962 ∧ x19 = _x963 ∧ x20 = _x964 ∧ x21 = _x965 ∧ x22 = _x966 ∧ x23 = _x967 ∧ x24 = _x968 ∧ x25 = _x969 ∧ x26 = _x970 ∧ x27 = _x971 ∧ _x944 = _x971 ∧ _x943 = _x970 ∧ _x942 = _x969 ∧ _x941 = _x968 ∧ _x940 = _x967 ∧ _x939 = _x966 ∧ _x938 = _x965 ∧ _x937 = _x964 ∧ _x936 = _x963 ∧ _x934 = _x961 ∧ _x933 = _x960 ∧ _x935 = _x962 ∧ _x932 = _x959 ∧ _x931 = _x958 ∧ _x930 = _x957 ∧ _x929 = _x956 ∧ _x928 = _x955 ∧ _x927 = _x954 ∧ _x926 = _x953 ∧ _x925 = _x952 ∧ _x924 = _x951 ∧ _x923 = _x950 ∧ _x922 = _x949 ∧ _x921 = _x948 ∧ _x920 = _x947 ∧ _x919 = _x946 ∧ _x918 = _x945 ∧ 1 + _x934 ≤ _x919 + _x933 l16 20 l14: x1 = _x972 ∧ x2 = _x973 ∧ x3 = _x974 ∧ x4 = _x975 ∧ x5 = _x976 ∧ x6 = _x977 ∧ x7 = _x978 ∧ x8 = _x979 ∧ x9 = _x980 ∧ x10 = _x981 ∧ x11 = _x982 ∧ x12 = _x983 ∧ x13 = _x984 ∧ x14 = _x985 ∧ x15 = _x986 ∧ x16 = _x987 ∧ x17 = _x988 ∧ x18 = _x989 ∧ x19 = _x990 ∧ x20 = _x991 ∧ x21 = _x992 ∧ x22 = _x993 ∧ x23 = _x994 ∧ x24 = _x995 ∧ x25 = _x996 ∧ x26 = _x997 ∧ x27 = _x998 ∧ x1 = _x999 ∧ x2 = _x1000 ∧ x3 = _x1001 ∧ x4 = _x1002 ∧ x5 = _x1003 ∧ x6 = _x1004 ∧ x7 = _x1005 ∧ x8 = _x1006 ∧ x9 = _x1007 ∧ x10 = _x1008 ∧ x11 = _x1009 ∧ x12 = _x1010 ∧ x13 = _x1011 ∧ x14 = _x1012 ∧ x15 = _x1013 ∧ x16 = _x1014 ∧ x17 = _x1015 ∧ x18 = _x1016 ∧ x19 = _x1017 ∧ x20 = _x1018 ∧ x21 = _x1019 ∧ x22 = _x1020 ∧ x23 = _x1021 ∧ x24 = _x1022 ∧ x25 = _x1023 ∧ x26 = _x1024 ∧ x27 = _x1025 ∧ _x998 = _x1025 ∧ _x997 = _x1024 ∧ _x996 = _x1023 ∧ _x995 = _x1022 ∧ _x994 = _x1021 ∧ _x993 = _x1020 ∧ _x992 = _x1019 ∧ _x991 = _x1018 ∧ _x990 = _x1017 ∧ _x988 = _x1015 ∧ _x987 = _x1014 ∧ _x989 = _x1016 ∧ _x986 = _x1013 ∧ _x985 = _x1012 ∧ _x984 = _x1011 ∧ _x983 = _x1010 ∧ _x982 = _x1009 ∧ _x981 = _x1008 ∧ _x980 = _x1007 ∧ _x979 = _x1006 ∧ _x978 = _x1005 ∧ _x977 = _x1004 ∧ _x976 = _x1003 ∧ _x975 = _x1002 ∧ _x974 = _x1001 ∧ _x973 = _x1000 ∧ _x972 = _x999 ∧ 1 + _x973 + _x987 ≤ _x988 l16 21 l11: x1 = _x1026 ∧ x2 = _x1027 ∧ x3 = _x1028 ∧ x4 = _x1029 ∧ x5 = _x1030 ∧ x6 = _x1031 ∧ x7 = _x1032 ∧ x8 = _x1033 ∧ x9 = _x1034 ∧ x10 = _x1035 ∧ x11 = _x1036 ∧ x12 = _x1037 ∧ x13 = _x1038 ∧ x14 = _x1039 ∧ x15 = _x1040 ∧ x16 = _x1041 ∧ x17 = _x1042 ∧ x18 = _x1043 ∧ x19 = _x1044 ∧ x20 = _x1045 ∧ x21 = _x1046 ∧ x22 = _x1047 ∧ x23 = _x1048 ∧ x24 = _x1049 ∧ x25 = _x1050 ∧ x26 = _x1051 ∧ x27 = _x1052 ∧ x1 = _x1053 ∧ x2 = _x1054 ∧ x3 = _x1055 ∧ x4 = _x1056 ∧ x5 = _x1057 ∧ x6 = _x1058 ∧ x7 = _x1059 ∧ x8 = _x1060 ∧ x9 = _x1061 ∧ x10 = _x1062 ∧ x11 = _x1063 ∧ x12 = _x1064 ∧ x13 = _x1065 ∧ x14 = _x1066 ∧ x15 = _x1067 ∧ x16 = _x1068 ∧ x17 = _x1069 ∧ x18 = _x1070 ∧ x19 = _x1071 ∧ x20 = _x1072 ∧ x21 = _x1073 ∧ x22 = _x1074 ∧ x23 = _x1075 ∧ x24 = _x1076 ∧ x25 = _x1077 ∧ x26 = _x1078 ∧ x27 = _x1079 ∧ _x1052 = _x1079 ∧ _x1051 = _x1078 ∧ _x1050 = _x1077 ∧ _x1049 = _x1076 ∧ _x1048 = _x1075 ∧ _x1047 = _x1074 ∧ _x1046 = _x1073 ∧ _x1045 = _x1072 ∧ _x1044 = _x1071 ∧ _x1042 = _x1069 ∧ _x1041 = _x1068 ∧ _x1043 = _x1070 ∧ _x1040 = _x1067 ∧ _x1039 = _x1066 ∧ _x1038 = _x1065 ∧ _x1037 = _x1064 ∧ _x1036 = _x1063 ∧ _x1035 = _x1062 ∧ _x1034 = _x1061 ∧ _x1033 = _x1060 ∧ _x1032 = _x1059 ∧ _x1031 = _x1058 ∧ _x1030 = _x1057 ∧ _x1029 = _x1056 ∧ _x1028 = _x1055 ∧ _x1027 = _x1054 ∧ _x1026 = _x1053 ∧ _x1042 ≤ _x1027 + _x1041 ∧ _x1027 + _x1041 ≤ _x1042 l17 22 l13: x1 = _x1080 ∧ x2 = _x1081 ∧ x3 = _x1082 ∧ x4 = _x1083 ∧ x5 = _x1084 ∧ x6 = _x1085 ∧ x7 = _x1086 ∧ x8 = _x1087 ∧ x9 = _x1088 ∧ x10 = _x1089 ∧ x11 = _x1090 ∧ x12 = _x1091 ∧ x13 = _x1092 ∧ x14 = _x1093 ∧ x15 = _x1094 ∧ x16 = _x1095 ∧ x17 = _x1096 ∧ x18 = _x1097 ∧ x19 = _x1098 ∧ x20 = _x1099 ∧ x21 = _x1100 ∧ x22 = _x1101 ∧ x23 = _x1102 ∧ x24 = _x1103 ∧ x25 = _x1104 ∧ x26 = _x1105 ∧ x27 = _x1106 ∧ x1 = _x1107 ∧ x2 = _x1108 ∧ x3 = _x1109 ∧ x4 = _x1110 ∧ x5 = _x1111 ∧ x6 = _x1112 ∧ x7 = _x1113 ∧ x8 = _x1114 ∧ x9 = _x1115 ∧ x10 = _x1116 ∧ x11 = _x1117 ∧ x12 = _x1118 ∧ x13 = _x1119 ∧ x14 = _x1120 ∧ x15 = _x1121 ∧ x16 = _x1122 ∧ x17 = _x1123 ∧ x18 = _x1124 ∧ x19 = _x1125 ∧ x20 = _x1126 ∧ x21 = _x1127 ∧ x22 = _x1128 ∧ x23 = _x1129 ∧ x24 = _x1130 ∧ x25 = _x1131 ∧ x26 = _x1132 ∧ x27 = _x1133 ∧ _x1106 = _x1133 ∧ _x1105 = _x1132 ∧ _x1104 = _x1131 ∧ _x1103 = _x1130 ∧ _x1102 = _x1129 ∧ _x1101 = _x1128 ∧ _x1100 = _x1127 ∧ _x1099 = _x1126 ∧ _x1098 = _x1125 ∧ _x1096 = _x1123 ∧ _x1095 = _x1122 ∧ _x1097 = _x1124 ∧ _x1094 = _x1121 ∧ _x1093 = _x1120 ∧ _x1092 = _x1119 ∧ _x1091 = _x1118 ∧ _x1090 = _x1117 ∧ _x1089 = _x1116 ∧ _x1088 = _x1115 ∧ _x1087 = _x1114 ∧ _x1086 = _x1113 ∧ _x1085 = _x1112 ∧ _x1084 = _x1111 ∧ _x1083 = _x1110 ∧ _x1082 = _x1109 ∧ _x1081 = _x1108 ∧ _x1080 = _x1107 ∧ 1 + _x1105 ≤ _x1081 + _x1104 l17 23 l13: x1 = _x1134 ∧ x2 = _x1135 ∧ x3 = _x1136 ∧ x4 = _x1137 ∧ x5 = _x1138 ∧ x6 = _x1139 ∧ x7 = _x1140 ∧ x8 = _x1141 ∧ x9 = _x1142 ∧ x10 = _x1143 ∧ x11 = _x1144 ∧ x12 = _x1145 ∧ x13 = _x1146 ∧ x14 = _x1147 ∧ x15 = _x1148 ∧ x16 = _x1149 ∧ x17 = _x1150 ∧ x18 = _x1151 ∧ x19 = _x1152 ∧ x20 = _x1153 ∧ x21 = _x1154 ∧ x22 = _x1155 ∧ x23 = _x1156 ∧ x24 = _x1157 ∧ x25 = _x1158 ∧ x26 = _x1159 ∧ x27 = _x1160 ∧ x1 = _x1161 ∧ x2 = _x1162 ∧ x3 = _x1163 ∧ x4 = _x1164 ∧ x5 = _x1165 ∧ x6 = _x1166 ∧ x7 = _x1167 ∧ x8 = _x1168 ∧ x9 = _x1169 ∧ x10 = _x1170 ∧ x11 = _x1171 ∧ x12 = _x1172 ∧ x13 = _x1173 ∧ x14 = _x1174 ∧ x15 = _x1175 ∧ x16 = _x1176 ∧ x17 = _x1177 ∧ x18 = _x1178 ∧ x19 = _x1179 ∧ x20 = _x1180 ∧ x21 = _x1181 ∧ x22 = _x1182 ∧ x23 = _x1183 ∧ x24 = _x1184 ∧ x25 = _x1185 ∧ x26 = _x1186 ∧ x27 = _x1187 ∧ _x1160 = _x1187 ∧ _x1159 = _x1186 ∧ _x1158 = _x1185 ∧ _x1157 = _x1184 ∧ _x1156 = _x1183 ∧ _x1155 = _x1182 ∧ _x1154 = _x1181 ∧ _x1153 = _x1180 ∧ _x1152 = _x1179 ∧ _x1150 = _x1177 ∧ _x1149 = _x1176 ∧ _x1151 = _x1178 ∧ _x1148 = _x1175 ∧ _x1147 = _x1174 ∧ _x1146 = _x1173 ∧ _x1145 = _x1172 ∧ _x1144 = _x1171 ∧ _x1143 = _x1170 ∧ _x1142 = _x1169 ∧ _x1141 = _x1168 ∧ _x1140 = _x1167 ∧ _x1139 = _x1166 ∧ _x1138 = _x1165 ∧ _x1137 = _x1164 ∧ _x1136 = _x1163 ∧ _x1135 = _x1162 ∧ _x1134 = _x1161 ∧ 1 + _x1135 + _x1158 ≤ _x1159 l17 24 l16: x1 = _x1188 ∧ x2 = _x1189 ∧ x3 = _x1190 ∧ x4 = _x1191 ∧ x5 = _x1192 ∧ x6 = _x1193 ∧ x7 = _x1194 ∧ x8 = _x1195 ∧ x9 = _x1196 ∧ x10 = _x1197 ∧ x11 = _x1198 ∧ x12 = _x1199 ∧ x13 = _x1200 ∧ x14 = _x1201 ∧ x15 = _x1202 ∧ x16 = _x1203 ∧ x17 = _x1204 ∧ x18 = _x1205 ∧ x19 = _x1206 ∧ x20 = _x1207 ∧ x21 = _x1208 ∧ x22 = _x1209 ∧ x23 = _x1210 ∧ x24 = _x1211 ∧ x25 = _x1212 ∧ x26 = _x1213 ∧ x27 = _x1214 ∧ x1 = _x1215 ∧ x2 = _x1216 ∧ x3 = _x1217 ∧ x4 = _x1218 ∧ x5 = _x1219 ∧ x6 = _x1220 ∧ x7 = _x1221 ∧ x8 = _x1222 ∧ x9 = _x1223 ∧ x10 = _x1224 ∧ x11 = _x1225 ∧ x12 = _x1226 ∧ x13 = _x1227 ∧ x14 = _x1228 ∧ x15 = _x1229 ∧ x16 = _x1230 ∧ x17 = _x1231 ∧ x18 = _x1232 ∧ x19 = _x1233 ∧ x20 = _x1234 ∧ x21 = _x1235 ∧ x22 = _x1236 ∧ x23 = _x1237 ∧ x24 = _x1238 ∧ x25 = _x1239 ∧ x26 = _x1240 ∧ x27 = _x1241 ∧ _x1214 = _x1241 ∧ _x1213 = _x1240 ∧ _x1212 = _x1239 ∧ _x1211 = _x1238 ∧ _x1210 = _x1237 ∧ _x1209 = _x1236 ∧ _x1208 = _x1235 ∧ _x1207 = _x1234 ∧ _x1206 = _x1233 ∧ _x1205 = _x1232 ∧ _x1202 = _x1229 ∧ _x1201 = _x1228 ∧ _x1200 = _x1227 ∧ _x1199 = _x1226 ∧ _x1198 = _x1225 ∧ _x1197 = _x1224 ∧ _x1196 = _x1223 ∧ _x1195 = _x1222 ∧ _x1194 = _x1221 ∧ _x1193 = _x1220 ∧ _x1192 = _x1219 ∧ _x1191 = _x1218 ∧ _x1190 = _x1217 ∧ _x1189 = _x1216 ∧ _x1188 = _x1215 ∧ _x1231 = _x1231 ∧ _x1230 = _x1230 ∧ _x1213 ≤ _x1189 + _x1212 ∧ _x1189 + _x1212 ≤ _x1213 l7 25 l5: x1 = _x1242 ∧ x2 = _x1243 ∧ x3 = _x1244 ∧ x4 = _x1245 ∧ x5 = _x1246 ∧ x6 = _x1247 ∧ x7 = _x1248 ∧ x8 = _x1249 ∧ x9 = _x1250 ∧ x10 = _x1251 ∧ x11 = _x1252 ∧ x12 = _x1253 ∧ x13 = _x1254 ∧ x14 = _x1255 ∧ x15 = _x1256 ∧ x16 = _x1257 ∧ x17 = _x1258 ∧ x18 = _x1259 ∧ x19 = _x1260 ∧ x20 = _x1261 ∧ x21 = _x1262 ∧ x22 = _x1263 ∧ x23 = _x1264 ∧ x24 = _x1265 ∧ x25 = _x1266 ∧ x26 = _x1267 ∧ x27 = _x1268 ∧ x1 = _x1269 ∧ x2 = _x1270 ∧ x3 = _x1271 ∧ x4 = _x1272 ∧ x5 = _x1273 ∧ x6 = _x1274 ∧ x7 = _x1275 ∧ x8 = _x1276 ∧ x9 = _x1277 ∧ x10 = _x1278 ∧ x11 = _x1279 ∧ x12 = _x1280 ∧ x13 = _x1281 ∧ x14 = _x1282 ∧ x15 = _x1283 ∧ x16 = _x1284 ∧ x17 = _x1285 ∧ x18 = _x1286 ∧ x19 = _x1287 ∧ x20 = _x1288 ∧ x21 = _x1289 ∧ x22 = _x1290 ∧ x23 = _x1291 ∧ x24 = _x1292 ∧ x25 = _x1293 ∧ x26 = _x1294 ∧ x27 = _x1295 ∧ _x1268 = _x1295 ∧ _x1267 = _x1294 ∧ _x1266 = _x1293 ∧ _x1265 = _x1292 ∧ _x1264 = _x1291 ∧ _x1263 = _x1290 ∧ _x1262 = _x1289 ∧ _x1261 = _x1288 ∧ _x1260 = _x1287 ∧ _x1258 = _x1285 ∧ _x1257 = _x1284 ∧ _x1259 = _x1286 ∧ _x1256 = _x1283 ∧ _x1255 = _x1282 ∧ _x1254 = _x1281 ∧ _x1253 = _x1280 ∧ _x1252 = _x1279 ∧ _x1251 = _x1278 ∧ _x1250 = _x1277 ∧ _x1249 = _x1276 ∧ _x1248 = _x1275 ∧ _x1247 = _x1274 ∧ _x1246 = _x1273 ∧ _x1245 = _x1272 ∧ _x1244 = _x1271 ∧ _x1243 = _x1270 ∧ _x1242 = _x1269 l18 26 l12: x1 = _x1296 ∧ x2 = _x1297 ∧ x3 = _x1298 ∧ x4 = _x1299 ∧ x5 = _x1300 ∧ x6 = _x1301 ∧ x7 = _x1302 ∧ x8 = _x1303 ∧ x9 = _x1304 ∧ x10 = _x1305 ∧ x11 = _x1306 ∧ x12 = _x1307 ∧ x13 = _x1308 ∧ x14 = _x1309 ∧ x15 = _x1310 ∧ x16 = _x1311 ∧ x17 = _x1312 ∧ x18 = _x1313 ∧ x19 = _x1314 ∧ x20 = _x1315 ∧ x21 = _x1316 ∧ x22 = _x1317 ∧ x23 = _x1318 ∧ x24 = _x1319 ∧ x25 = _x1320 ∧ x26 = _x1321 ∧ x27 = _x1322 ∧ x1 = _x1323 ∧ x2 = _x1324 ∧ x3 = _x1325 ∧ x4 = _x1326 ∧ x5 = _x1327 ∧ x6 = _x1328 ∧ x7 = _x1329 ∧ x8 = _x1330 ∧ x9 = _x1331 ∧ x10 = _x1332 ∧ x11 = _x1333 ∧ x12 = _x1334 ∧ x13 = _x1335 ∧ x14 = _x1336 ∧ x15 = _x1337 ∧ x16 = _x1338 ∧ x17 = _x1339 ∧ x18 = _x1340 ∧ x19 = _x1341 ∧ x20 = _x1342 ∧ x21 = _x1343 ∧ x22 = _x1344 ∧ x23 = _x1345 ∧ x24 = _x1346 ∧ x25 = _x1347 ∧ x26 = _x1348 ∧ x27 = _x1349 ∧ _x1322 = _x1349 ∧ _x1321 = _x1348 ∧ _x1320 = _x1347 ∧ _x1319 = _x1346 ∧ _x1318 = _x1345 ∧ _x1317 = _x1344 ∧ _x1316 = _x1343 ∧ _x1315 = _x1342 ∧ _x1314 = _x1341 ∧ _x1312 = _x1339 ∧ _x1311 = _x1338 ∧ _x1313 = _x1340 ∧ _x1310 = _x1337 ∧ _x1309 = _x1336 ∧ _x1308 = _x1335 ∧ _x1307 = _x1334 ∧ _x1306 = _x1333 ∧ _x1305 = _x1332 ∧ _x1304 = _x1331 ∧ _x1303 = _x1330 ∧ _x1302 = _x1329 ∧ _x1301 = _x1328 ∧ _x1300 = _x1327 ∧ _x1299 = _x1326 ∧ _x1298 = _x1325 ∧ _x1297 = _x1324 ∧ _x1296 = _x1323 ∧ _x1299 ≤ 4 l18 27 l17: x1 = _x1350 ∧ x2 = _x1351 ∧ x3 = _x1352 ∧ x4 = _x1353 ∧ x5 = _x1354 ∧ x6 = _x1355 ∧ x7 = _x1356 ∧ x8 = _x1357 ∧ x9 = _x1358 ∧ x10 = _x1359 ∧ x11 = _x1360 ∧ x12 = _x1361 ∧ x13 = _x1362 ∧ x14 = _x1363 ∧ x15 = _x1364 ∧ x16 = _x1365 ∧ x17 = _x1366 ∧ x18 = _x1367 ∧ x19 = _x1368 ∧ x20 = _x1369 ∧ x21 = _x1370 ∧ x22 = _x1371 ∧ x23 = _x1372 ∧ x24 = _x1373 ∧ x25 = _x1374 ∧ x26 = _x1375 ∧ x27 = _x1376 ∧ x1 = _x1377 ∧ x2 = _x1378 ∧ x3 = _x1379 ∧ x4 = _x1380 ∧ x5 = _x1381 ∧ x6 = _x1382 ∧ x7 = _x1383 ∧ x8 = _x1384 ∧ x9 = _x1385 ∧ x10 = _x1386 ∧ x11 = _x1387 ∧ x12 = _x1388 ∧ x13 = _x1389 ∧ x14 = _x1390 ∧ x15 = _x1391 ∧ x16 = _x1392 ∧ x17 = _x1393 ∧ x18 = _x1394 ∧ x19 = _x1395 ∧ x20 = _x1396 ∧ x21 = _x1397 ∧ x22 = _x1398 ∧ x23 = _x1399 ∧ x24 = _x1400 ∧ x25 = _x1401 ∧ x26 = _x1402 ∧ x27 = _x1403 ∧ _x1376 = _x1403 ∧ _x1373 = _x1400 ∧ _x1372 = _x1399 ∧ _x1371 = _x1398 ∧ _x1370 = _x1397 ∧ _x1369 = _x1396 ∧ _x1368 = _x1395 ∧ _x1366 = _x1393 ∧ _x1365 = _x1392 ∧ _x1367 = _x1394 ∧ _x1364 = _x1391 ∧ _x1363 = _x1390 ∧ _x1362 = _x1389 ∧ _x1361 = _x1388 ∧ _x1360 = _x1387 ∧ _x1359 = _x1386 ∧ _x1358 = _x1385 ∧ _x1357 = _x1384 ∧ _x1356 = _x1383 ∧ _x1355 = _x1382 ∧ _x1354 = _x1381 ∧ _x1353 = _x1380 ∧ _x1352 = _x1379 ∧ _x1351 = _x1378 ∧ _x1350 = _x1377 ∧ _x1402 = _x1402 ∧ _x1401 = _x1401 ∧ 5 ≤ _x1353 l19 28 l20: x1 = _x1404 ∧ x2 = _x1405 ∧ x3 = _x1406 ∧ x4 = _x1407 ∧ x5 = _x1408 ∧ x6 = _x1409 ∧ x7 = _x1410 ∧ x8 = _x1411 ∧ x9 = _x1412 ∧ x10 = _x1413 ∧ x11 = _x1414 ∧ x12 = _x1415 ∧ x13 = _x1416 ∧ x14 = _x1417 ∧ x15 = _x1418 ∧ x16 = _x1419 ∧ x17 = _x1420 ∧ x18 = _x1421 ∧ x19 = _x1422 ∧ x20 = _x1423 ∧ x21 = _x1424 ∧ x22 = _x1425 ∧ x23 = _x1426 ∧ x24 = _x1427 ∧ x25 = _x1428 ∧ x26 = _x1429 ∧ x27 = _x1430 ∧ x1 = _x1431 ∧ x2 = _x1432 ∧ x3 = _x1433 ∧ x4 = _x1434 ∧ x5 = _x1435 ∧ x6 = _x1436 ∧ x7 = _x1437 ∧ x8 = _x1438 ∧ x9 = _x1439 ∧ x10 = _x1440 ∧ x11 = _x1441 ∧ x12 = _x1442 ∧ x13 = _x1443 ∧ x14 = _x1444 ∧ x15 = _x1445 ∧ x16 = _x1446 ∧ x17 = _x1447 ∧ x18 = _x1448 ∧ x19 = _x1449 ∧ x20 = _x1450 ∧ x21 = _x1451 ∧ x22 = _x1452 ∧ x23 = _x1453 ∧ x24 = _x1454 ∧ x25 = _x1455 ∧ x26 = _x1456 ∧ x27 = _x1457 ∧ _x1430 = _x1457 ∧ _x1429 = _x1456 ∧ _x1428 = _x1455 ∧ _x1427 = _x1454 ∧ _x1426 = _x1453 ∧ _x1425 = _x1452 ∧ _x1424 = _x1451 ∧ _x1423 = _x1450 ∧ _x1422 = _x1449 ∧ _x1420 = _x1447 ∧ _x1419 = _x1446 ∧ _x1421 = _x1448 ∧ _x1418 = _x1445 ∧ _x1417 = _x1444 ∧ _x1416 = _x1443 ∧ _x1415 = _x1442 ∧ _x1414 = _x1441 ∧ _x1413 = _x1440 ∧ _x1412 = _x1439 ∧ _x1411 = _x1438 ∧ _x1410 = _x1437 ∧ _x1409 = _x1436 ∧ _x1407 = _x1434 ∧ _x1406 = _x1433 ∧ _x1405 = _x1432 ∧ _x1404 = _x1431 ∧ _x1435 = 1 + _x1408 ∧ 1 + _x1411 ≤ _x1409 l19 29 l18: x1 = _x1458 ∧ x2 = _x1459 ∧ x3 = _x1460 ∧ x4 = _x1461 ∧ x5 = _x1462 ∧ x6 = _x1463 ∧ x7 = _x1464 ∧ x8 = _x1465 ∧ x9 = _x1466 ∧ x10 = _x1467 ∧ x11 = _x1468 ∧ x12 = _x1469 ∧ x13 = _x1470 ∧ x14 = _x1471 ∧ x15 = _x1472 ∧ x16 = _x1473 ∧ x17 = _x1474 ∧ x18 = _x1475 ∧ x19 = _x1476 ∧ x20 = _x1477 ∧ x21 = _x1478 ∧ x22 = _x1479 ∧ x23 = _x1480 ∧ x24 = _x1481 ∧ x25 = _x1482 ∧ x26 = _x1483 ∧ x27 = _x1484 ∧ x1 = _x1485 ∧ x2 = _x1486 ∧ x3 = _x1487 ∧ x4 = _x1488 ∧ x5 = _x1489 ∧ x6 = _x1490 ∧ x7 = _x1491 ∧ x8 = _x1492 ∧ x9 = _x1493 ∧ x10 = _x1494 ∧ x11 = _x1495 ∧ x12 = _x1496 ∧ x13 = _x1497 ∧ x14 = _x1498 ∧ x15 = _x1499 ∧ x16 = _x1500 ∧ x17 = _x1501 ∧ x18 = _x1502 ∧ x19 = _x1503 ∧ x20 = _x1504 ∧ x21 = _x1505 ∧ x22 = _x1506 ∧ x23 = _x1507 ∧ x24 = _x1508 ∧ x25 = _x1509 ∧ x26 = _x1510 ∧ x27 = _x1511 ∧ _x1484 = _x1511 ∧ _x1483 = _x1510 ∧ _x1482 = _x1509 ∧ _x1481 = _x1508 ∧ _x1480 = _x1507 ∧ _x1479 = _x1506 ∧ _x1478 = _x1505 ∧ _x1477 = _x1504 ∧ _x1476 = _x1503 ∧ _x1474 = _x1501 ∧ _x1473 = _x1500 ∧ _x1472 = _x1499 ∧ _x1471 = _x1498 ∧ _x1470 = _x1497 ∧ _x1469 = _x1496 ∧ _x1468 = _x1495 ∧ _x1467 = _x1494 ∧ _x1466 = _x1493 ∧ _x1465 = _x1492 ∧ _x1464 = _x1491 ∧ _x1463 = _x1490 ∧ _x1462 = _x1489 ∧ _x1461 = _x1488 ∧ _x1460 = _x1487 ∧ _x1458 = _x1485 ∧ _x1486 = _x1486 ∧ _x1502 = _x1502 ∧ _x1463 ≤ _x1465 l15 30 l19: x1 = _x1512 ∧ x2 = _x1513 ∧ x3 = _x1514 ∧ x4 = _x1515 ∧ x5 = _x1516 ∧ x6 = _x1517 ∧ x7 = _x1518 ∧ x8 = _x1519 ∧ x9 = _x1520 ∧ x10 = _x1521 ∧ x11 = _x1522 ∧ x12 = _x1523 ∧ x13 = _x1524 ∧ x14 = _x1525 ∧ x15 = _x1526 ∧ x16 = _x1527 ∧ x17 = _x1528 ∧ x18 = _x1529 ∧ x19 = _x1530 ∧ x20 = _x1531 ∧ x21 = _x1532 ∧ x22 = _x1533 ∧ x23 = _x1534 ∧ x24 = _x1535 ∧ x25 = _x1536 ∧ x26 = _x1537 ∧ x27 = _x1538 ∧ x1 = _x1539 ∧ x2 = _x1540 ∧ x3 = _x1541 ∧ x4 = _x1542 ∧ x5 = _x1543 ∧ x6 = _x1544 ∧ x7 = _x1545 ∧ x8 = _x1546 ∧ x9 = _x1547 ∧ x10 = _x1548 ∧ x11 = _x1549 ∧ x12 = _x1550 ∧ x13 = _x1551 ∧ x14 = _x1552 ∧ x15 = _x1553 ∧ x16 = _x1554 ∧ x17 = _x1555 ∧ x18 = _x1556 ∧ x19 = _x1557 ∧ x20 = _x1558 ∧ x21 = _x1559 ∧ x22 = _x1560 ∧ x23 = _x1561 ∧ x24 = _x1562 ∧ x25 = _x1563 ∧ x26 = _x1564 ∧ x27 = _x1565 ∧ _x1538 = _x1565 ∧ _x1537 = _x1564 ∧ _x1536 = _x1563 ∧ _x1535 = _x1562 ∧ _x1534 = _x1561 ∧ _x1533 = _x1560 ∧ _x1532 = _x1559 ∧ _x1531 = _x1558 ∧ _x1530 = _x1557 ∧ _x1528 = _x1555 ∧ _x1527 = _x1554 ∧ _x1529 = _x1556 ∧ _x1526 = _x1553 ∧ _x1525 = _x1552 ∧ _x1524 = _x1551 ∧ _x1523 = _x1550 ∧ _x1522 = _x1549 ∧ _x1521 = _x1548 ∧ _x1520 = _x1547 ∧ _x1519 = _x1546 ∧ _x1518 = _x1545 ∧ _x1517 = _x1544 ∧ _x1516 = _x1543 ∧ _x1515 = _x1542 ∧ _x1514 = _x1541 ∧ _x1513 = _x1540 ∧ _x1512 = _x1539 l21 31 l22: x1 = _x1566 ∧ x2 = _x1567 ∧ x3 = _x1568 ∧ x4 = _x1569 ∧ x5 = _x1570 ∧ x6 = _x1571 ∧ x7 = _x1572 ∧ x8 = _x1573 ∧ x9 = _x1574 ∧ x10 = _x1575 ∧ x11 = _x1576 ∧ x12 = _x1577 ∧ x13 = _x1578 ∧ x14 = _x1579 ∧ x15 = _x1580 ∧ x16 = _x1581 ∧ x17 = _x1582 ∧ x18 = _x1583 ∧ x19 = _x1584 ∧ x20 = _x1585 ∧ x21 = _x1586 ∧ x22 = _x1587 ∧ x23 = _x1588 ∧ x24 = _x1589 ∧ x25 = _x1590 ∧ x26 = _x1591 ∧ x27 = _x1592 ∧ x1 = _x1593 ∧ x2 = _x1594 ∧ x3 = _x1595 ∧ x4 = _x1596 ∧ x5 = _x1597 ∧ x6 = _x1598 ∧ x7 = _x1599 ∧ x8 = _x1600 ∧ x9 = _x1601 ∧ x10 = _x1602 ∧ x11 = _x1603 ∧ x12 = _x1604 ∧ x13 = _x1605 ∧ x14 = _x1606 ∧ x15 = _x1607 ∧ x16 = _x1608 ∧ x17 = _x1609 ∧ x18 = _x1610 ∧ x19 = _x1611 ∧ x20 = _x1612 ∧ x21 = _x1613 ∧ x22 = _x1614 ∧ x23 = _x1615 ∧ x24 = _x1616 ∧ x25 = _x1617 ∧ x26 = _x1618 ∧ x27 = _x1619 ∧ _x1592 = _x1619 ∧ _x1591 = _x1618 ∧ _x1590 = _x1617 ∧ _x1589 = _x1616 ∧ _x1588 = _x1615 ∧ _x1587 = _x1614 ∧ _x1586 = _x1613 ∧ _x1585 = _x1612 ∧ _x1584 = _x1611 ∧ _x1582 = _x1609 ∧ _x1581 = _x1608 ∧ _x1583 = _x1610 ∧ _x1580 = _x1607 ∧ _x1579 = _x1606 ∧ _x1578 = _x1605 ∧ _x1577 = _x1604 ∧ _x1576 = _x1603 ∧ _x1575 = _x1602 ∧ _x1574 = _x1601 ∧ _x1573 = _x1600 ∧ _x1572 = _x1599 ∧ _x1571 = _x1598 ∧ _x1570 = _x1597 ∧ _x1569 = _x1596 ∧ _x1568 = _x1595 ∧ _x1567 = _x1594 ∧ _x1566 = _x1593 ∧ _x1573 ≤ _x1570 l21 32 l15: x1 = _x1620 ∧ x2 = _x1621 ∧ x3 = _x1622 ∧ x4 = _x1623 ∧ x5 = _x1624 ∧ x6 = _x1625 ∧ x7 = _x1626 ∧ x8 = _x1627 ∧ x9 = _x1628 ∧ x10 = _x1629 ∧ x11 = _x1630 ∧ x12 = _x1631 ∧ x13 = _x1632 ∧ x14 = _x1633 ∧ x15 = _x1634 ∧ x16 = _x1635 ∧ x17 = _x1636 ∧ x18 = _x1637 ∧ x19 = _x1638 ∧ x20 = _x1639 ∧ x21 = _x1640 ∧ x22 = _x1641 ∧ x23 = _x1642 ∧ x24 = _x1643 ∧ x25 = _x1644 ∧ x26 = _x1645 ∧ x27 = _x1646 ∧ x1 = _x1647 ∧ x2 = _x1648 ∧ x3 = _x1649 ∧ x4 = _x1650 ∧ x5 = _x1651 ∧ x6 = _x1652 ∧ x7 = _x1653 ∧ x8 = _x1654 ∧ x9 = _x1655 ∧ x10 = _x1656 ∧ x11 = _x1657 ∧ x12 = _x1658 ∧ x13 = _x1659 ∧ x14 = _x1660 ∧ x15 = _x1661 ∧ x16 = _x1662 ∧ x17 = _x1663 ∧ x18 = _x1664 ∧ x19 = _x1665 ∧ x20 = _x1666 ∧ x21 = _x1667 ∧ x22 = _x1668 ∧ x23 = _x1669 ∧ x24 = _x1670 ∧ x25 = _x1671 ∧ x26 = _x1672 ∧ x27 = _x1673 ∧ _x1646 = _x1673 ∧ _x1645 = _x1672 ∧ _x1644 = _x1671 ∧ _x1643 = _x1670 ∧ _x1642 = _x1669 ∧ _x1641 = _x1668 ∧ _x1640 = _x1667 ∧ _x1639 = _x1666 ∧ _x1638 = _x1665 ∧ _x1636 = _x1663 ∧ _x1635 = _x1662 ∧ _x1637 = _x1664 ∧ _x1634 = _x1661 ∧ _x1633 = _x1660 ∧ _x1632 = _x1659 ∧ _x1631 = _x1658 ∧ _x1630 = _x1657 ∧ _x1629 = _x1656 ∧ _x1628 = _x1655 ∧ _x1627 = _x1654 ∧ _x1626 = _x1653 ∧ _x1625 = _x1652 ∧ _x1624 = _x1651 ∧ _x1623 = _x1650 ∧ _x1622 = _x1649 ∧ _x1621 = _x1648 ∧ _x1620 = _x1647 ∧ _x1624 ≤ −1 + _x1627 l23 33 l24: x1 = _x1674 ∧ x2 = _x1675 ∧ x3 = _x1676 ∧ x4 = _x1677 ∧ x5 = _x1678 ∧ x6 = _x1679 ∧ x7 = _x1680 ∧ x8 = _x1681 ∧ x9 = _x1682 ∧ x10 = _x1683 ∧ x11 = _x1684 ∧ x12 = _x1685 ∧ x13 = _x1686 ∧ x14 = _x1687 ∧ x15 = _x1688 ∧ x16 = _x1689 ∧ x17 = _x1690 ∧ x18 = _x1691 ∧ x19 = _x1692 ∧ x20 = _x1693 ∧ x21 = _x1694 ∧ x22 = _x1695 ∧ x23 = _x1696 ∧ x24 = _x1697 ∧ x25 = _x1698 ∧ x26 = _x1699 ∧ x27 = _x1700 ∧ x1 = _x1701 ∧ x2 = _x1702 ∧ x3 = _x1703 ∧ x4 = _x1704 ∧ x5 = _x1705 ∧ x6 = _x1706 ∧ x7 = _x1707 ∧ x8 = _x1708 ∧ x9 = _x1709 ∧ x10 = _x1710 ∧ x11 = _x1711 ∧ x12 = _x1712 ∧ x13 = _x1713 ∧ x14 = _x1714 ∧ x15 = _x1715 ∧ x16 = _x1716 ∧ x17 = _x1717 ∧ x18 = _x1718 ∧ x19 = _x1719 ∧ x20 = _x1720 ∧ x21 = _x1721 ∧ x22 = _x1722 ∧ x23 = _x1723 ∧ x24 = _x1724 ∧ x25 = _x1725 ∧ x26 = _x1726 ∧ x27 = _x1727 ∧ _x1700 = _x1727 ∧ _x1699 = _x1726 ∧ _x1698 = _x1725 ∧ _x1697 = _x1724 ∧ _x1696 = _x1723 ∧ _x1695 = _x1722 ∧ _x1694 = _x1721 ∧ _x1693 = _x1720 ∧ _x1692 = _x1719 ∧ _x1690 = _x1717 ∧ _x1689 = _x1716 ∧ _x1691 = _x1718 ∧ _x1688 = _x1715 ∧ _x1687 = _x1714 ∧ _x1686 = _x1713 ∧ _x1685 = _x1712 ∧ _x1684 = _x1711 ∧ _x1683 = _x1710 ∧ _x1682 = _x1709 ∧ _x1681 = _x1708 ∧ _x1680 = _x1707 ∧ _x1679 = _x1706 ∧ _x1678 = _x1705 ∧ _x1677 = _x1704 ∧ _x1676 = _x1703 ∧ _x1675 = _x1702 ∧ _x1674 = _x1701 ∧ 1 + _x1681 ≤ _x1678 l23 34 l7: x1 = _x1728 ∧ x2 = _x1729 ∧ x3 = _x1730 ∧ x4 = _x1731 ∧ x5 = _x1732 ∧ x6 = _x1733 ∧ x7 = _x1734 ∧ x8 = _x1735 ∧ x9 = _x1736 ∧ x10 = _x1737 ∧ x11 = _x1738 ∧ x12 = _x1739 ∧ x13 = _x1740 ∧ x14 = _x1741 ∧ x15 = _x1742 ∧ x16 = _x1743 ∧ x17 = _x1744 ∧ x18 = _x1745 ∧ x19 = _x1746 ∧ x20 = _x1747 ∧ x21 = _x1748 ∧ x22 = _x1749 ∧ x23 = _x1750 ∧ x24 = _x1751 ∧ x25 = _x1752 ∧ x26 = _x1753 ∧ x27 = _x1754 ∧ x1 = _x1755 ∧ x2 = _x1756 ∧ x3 = _x1757 ∧ x4 = _x1758 ∧ x5 = _x1759 ∧ x6 = _x1760 ∧ x7 = _x1761 ∧ x8 = _x1762 ∧ x9 = _x1763 ∧ x10 = _x1764 ∧ x11 = _x1765 ∧ x12 = _x1766 ∧ x13 = _x1767 ∧ x14 = _x1768 ∧ x15 = _x1769 ∧ x16 = _x1770 ∧ x17 = _x1771 ∧ x18 = _x1772 ∧ x19 = _x1773 ∧ x20 = _x1774 ∧ x21 = _x1775 ∧ x22 = _x1776 ∧ x23 = _x1777 ∧ x24 = _x1778 ∧ x25 = _x1779 ∧ x26 = _x1780 ∧ x27 = _x1781 ∧ _x1754 = _x1781 ∧ _x1753 = _x1780 ∧ _x1752 = _x1779 ∧ _x1751 = _x1778 ∧ _x1750 = _x1777 ∧ _x1749 = _x1776 ∧ _x1748 = _x1775 ∧ _x1747 = _x1774 ∧ _x1746 = _x1773 ∧ _x1744 = _x1771 ∧ _x1743 = _x1770 ∧ _x1745 = _x1772 ∧ _x1742 = _x1769 ∧ _x1741 = _x1768 ∧ _x1740 = _x1767 ∧ _x1739 = _x1766 ∧ _x1738 = _x1765 ∧ _x1737 = _x1764 ∧ _x1736 = _x1763 ∧ _x1735 = _x1762 ∧ _x1734 = _x1761 ∧ _x1733 = _x1760 ∧ _x1732 = _x1759 ∧ _x1731 = _x1758 ∧ _x1730 = _x1757 ∧ _x1729 = _x1756 ∧ _x1728 = _x1755 ∧ _x1732 ≤ _x1735 l20 35 l21: x1 = _x1782 ∧ x2 = _x1783 ∧ x3 = _x1784 ∧ x4 = _x1785 ∧ x5 = _x1786 ∧ x6 = _x1787 ∧ x7 = _x1788 ∧ x8 = _x1789 ∧ x9 = _x1790 ∧ x10 = _x1791 ∧ x11 = _x1792 ∧ x12 = _x1793 ∧ x13 = _x1794 ∧ x14 = _x1795 ∧ x15 = _x1796 ∧ x16 = _x1797 ∧ x17 = _x1798 ∧ x18 = _x1799 ∧ x19 = _x1800 ∧ x20 = _x1801 ∧ x21 = _x1802 ∧ x22 = _x1803 ∧ x23 = _x1804 ∧ x24 = _x1805 ∧ x25 = _x1806 ∧ x26 = _x1807 ∧ x27 = _x1808 ∧ x1 = _x1809 ∧ x2 = _x1810 ∧ x3 = _x1811 ∧ x4 = _x1812 ∧ x5 = _x1813 ∧ x6 = _x1814 ∧ x7 = _x1815 ∧ x8 = _x1816 ∧ x9 = _x1817 ∧ x10 = _x1818 ∧ x11 = _x1819 ∧ x12 = _x1820 ∧ x13 = _x1821 ∧ x14 = _x1822 ∧ x15 = _x1823 ∧ x16 = _x1824 ∧ x17 = _x1825 ∧ x18 = _x1826 ∧ x19 = _x1827 ∧ x20 = _x1828 ∧ x21 = _x1829 ∧ x22 = _x1830 ∧ x23 = _x1831 ∧ x24 = _x1832 ∧ x25 = _x1833 ∧ x26 = _x1834 ∧ x27 = _x1835 ∧ _x1808 = _x1835 ∧ _x1807 = _x1834 ∧ _x1806 = _x1833 ∧ _x1805 = _x1832 ∧ _x1804 = _x1831 ∧ _x1803 = _x1830 ∧ _x1802 = _x1829 ∧ _x1801 = _x1828 ∧ _x1800 = _x1827 ∧ _x1798 = _x1825 ∧ _x1797 = _x1824 ∧ _x1799 = _x1826 ∧ _x1796 = _x1823 ∧ _x1795 = _x1822 ∧ _x1794 = _x1821 ∧ _x1793 = _x1820 ∧ _x1792 = _x1819 ∧ _x1791 = _x1818 ∧ _x1790 = _x1817 ∧ _x1789 = _x1816 ∧ _x1788 = _x1815 ∧ _x1787 = _x1814 ∧ _x1786 = _x1813 ∧ _x1785 = _x1812 ∧ _x1784 = _x1811 ∧ _x1783 = _x1810 ∧ _x1782 = _x1809 l25 36 l20: x1 = _x1836 ∧ x2 = _x1837 ∧ x3 = _x1838 ∧ x4 = _x1839 ∧ x5 = _x1840 ∧ x6 = _x1841 ∧ x7 = _x1842 ∧ x8 = _x1843 ∧ x9 = _x1844 ∧ x10 = _x1845 ∧ x11 = _x1846 ∧ x12 = _x1847 ∧ x13 = _x1848 ∧ x14 = _x1849 ∧ x15 = _x1850 ∧ x16 = _x1851 ∧ x17 = _x1852 ∧ x18 = _x1853 ∧ x19 = _x1854 ∧ x20 = _x1855 ∧ x21 = _x1856 ∧ x22 = _x1857 ∧ x23 = _x1858 ∧ x24 = _x1859 ∧ x25 = _x1860 ∧ x26 = _x1861 ∧ x27 = _x1862 ∧ x1 = _x1863 ∧ x2 = _x1864 ∧ x3 = _x1865 ∧ x4 = _x1866 ∧ x5 = _x1867 ∧ x6 = _x1868 ∧ x7 = _x1869 ∧ x8 = _x1870 ∧ x9 = _x1871 ∧ x10 = _x1872 ∧ x11 = _x1873 ∧ x12 = _x1874 ∧ x13 = _x1875 ∧ x14 = _x1876 ∧ x15 = _x1877 ∧ x16 = _x1878 ∧ x17 = _x1879 ∧ x18 = _x1880 ∧ x19 = _x1881 ∧ x20 = _x1882 ∧ x21 = _x1883 ∧ x22 = _x1884 ∧ x23 = _x1885 ∧ x24 = _x1886 ∧ x25 = _x1887 ∧ x26 = _x1888 ∧ x27 = _x1889 ∧ _x1861 = _x1888 ∧ _x1860 = _x1887 ∧ _x1859 = _x1886 ∧ _x1858 = _x1885 ∧ _x1857 = _x1884 ∧ _x1856 = _x1883 ∧ _x1855 = _x1882 ∧ _x1854 = _x1881 ∧ _x1852 = _x1879 ∧ _x1851 = _x1878 ∧ _x1853 = _x1880 ∧ _x1850 = _x1877 ∧ _x1849 = _x1876 ∧ _x1848 = _x1875 ∧ _x1847 = _x1874 ∧ _x1846 = _x1873 ∧ _x1845 = _x1872 ∧ _x1844 = _x1871 ∧ _x1843 = _x1870 ∧ _x1842 = _x1869 ∧ _x1841 = _x1868 ∧ _x1840 = _x1867 ∧ _x1839 = _x1866 ∧ _x1838 = _x1865 ∧ _x1837 = _x1864 ∧ _x1836 = _x1863 ∧ _x1889 = 0 ∧ 4 ≤ _x1839 l25 37 l20: x1 = _x1890 ∧ x2 = _x1891 ∧ x3 = _x1892 ∧ x4 = _x1893 ∧ x5 = _x1894 ∧ x6 = _x1895 ∧ x7 = _x1896 ∧ x8 = _x1897 ∧ x9 = _x1898 ∧ x10 = _x1899 ∧ x11 = _x1900 ∧ x12 = _x1901 ∧ x13 = _x1902 ∧ x14 = _x1903 ∧ x15 = _x1904 ∧ x16 = _x1905 ∧ x17 = _x1906 ∧ x18 = _x1907 ∧ x19 = _x1908 ∧ x20 = _x1909 ∧ x21 = _x1910 ∧ x22 = _x1911 ∧ x23 = _x1912 ∧ x24 = _x1913 ∧ x25 = _x1914 ∧ x26 = _x1915 ∧ x27 = _x1916 ∧ x1 = _x1917 ∧ x2 = _x1918 ∧ x3 = _x1919 ∧ x4 = _x1920 ∧ x5 = _x1921 ∧ x6 = _x1922 ∧ x7 = _x1923 ∧ x8 = _x1924 ∧ x9 = _x1925 ∧ x10 = _x1926 ∧ x11 = _x1927 ∧ x12 = _x1928 ∧ x13 = _x1929 ∧ x14 = _x1930 ∧ x15 = _x1931 ∧ x16 = _x1932 ∧ x17 = _x1933 ∧ x18 = _x1934 ∧ x19 = _x1935 ∧ x20 = _x1936 ∧ x21 = _x1937 ∧ x22 = _x1938 ∧ x23 = _x1939 ∧ x24 = _x1940 ∧ x25 = _x1941 ∧ x26 = _x1942 ∧ x27 = _x1943 ∧ _x1915 = _x1942 ∧ _x1914 = _x1941 ∧ _x1913 = _x1940 ∧ _x1912 = _x1939 ∧ _x1911 = _x1938 ∧ _x1910 = _x1937 ∧ _x1909 = _x1936 ∧ _x1908 = _x1935 ∧ _x1906 = _x1933 ∧ _x1905 = _x1932 ∧ _x1907 = _x1934 ∧ _x1904 = _x1931 ∧ _x1903 = _x1930 ∧ _x1902 = _x1929 ∧ _x1901 = _x1928 ∧ _x1900 = _x1927 ∧ _x1899 = _x1926 ∧ _x1898 = _x1925 ∧ _x1897 = _x1924 ∧ _x1896 = _x1923 ∧ _x1895 = _x1922 ∧ _x1894 = _x1921 ∧ _x1893 = _x1920 ∧ _x1892 = _x1919 ∧ _x1891 = _x1918 ∧ _x1890 = _x1917 ∧ _x1943 = _x1943 ∧ 1 + _x1893 ≤ 4 l26 38 l25: x1 = _x1944 ∧ x2 = _x1945 ∧ x3 = _x1946 ∧ x4 = _x1947 ∧ x5 = _x1948 ∧ x6 = _x1949 ∧ x7 = _x1950 ∧ x8 = _x1951 ∧ x9 = _x1952 ∧ x10 = _x1953 ∧ x11 = _x1954 ∧ x12 = _x1955 ∧ x13 = _x1956 ∧ x14 = _x1957 ∧ x15 = _x1958 ∧ x16 = _x1959 ∧ x17 = _x1960 ∧ x18 = _x1961 ∧ x19 = _x1962 ∧ x20 = _x1963 ∧ x21 = _x1964 ∧ x22 = _x1965 ∧ x23 = _x1966 ∧ x24 = _x1967 ∧ x25 = _x1968 ∧ x26 = _x1969 ∧ x27 = _x1970 ∧ x1 = _x1971 ∧ x2 = _x1972 ∧ x3 = _x1973 ∧ x4 = _x1974 ∧ x5 = _x1975 ∧ x6 = _x1976 ∧ x7 = _x1977 ∧ x8 = _x1978 ∧ x9 = _x1979 ∧ x10 = _x1980 ∧ x11 = _x1981 ∧ x12 = _x1982 ∧ x13 = _x1983 ∧ x14 = _x1984 ∧ x15 = _x1985 ∧ x16 = _x1986 ∧ x17 = _x1987 ∧ x18 = _x1988 ∧ x19 = _x1989 ∧ x20 = _x1990 ∧ x21 = _x1991 ∧ x22 = _x1992 ∧ x23 = _x1993 ∧ x24 = _x1994 ∧ x25 = _x1995 ∧ x26 = _x1996 ∧ x27 = _x1997 ∧ _x1970 = _x1997 ∧ _x1969 = _x1996 ∧ _x1968 = _x1995 ∧ _x1967 = _x1994 ∧ _x1966 = _x1993 ∧ _x1965 = _x1992 ∧ _x1964 = _x1991 ∧ _x1963 = _x1990 ∧ _x1962 = _x1989 ∧ _x1960 = _x1987 ∧ _x1959 = _x1986 ∧ _x1961 = _x1988 ∧ _x1958 = _x1985 ∧ _x1957 = _x1984 ∧ _x1956 = _x1983 ∧ _x1955 = _x1982 ∧ _x1954 = _x1981 ∧ _x1953 = _x1980 ∧ _x1952 = _x1979 ∧ _x1951 = _x1978 ∧ _x1950 = _x1977 ∧ _x1949 = _x1976 ∧ _x1948 = _x1975 ∧ _x1947 = _x1974 ∧ _x1946 = _x1973 ∧ _x1945 = _x1972 ∧ _x1944 = _x1971 ∧ 1 ≤ _x1953 l26 39 l25: x1 = _x1998 ∧ x2 = _x1999 ∧ x3 = _x2000 ∧ x4 = _x2001 ∧ x5 = _x2002 ∧ x6 = _x2003 ∧ x7 = _x2004 ∧ x8 = _x2005 ∧ x9 = _x2006 ∧ x10 = _x2007 ∧ x11 = _x2008 ∧ x12 = _x2009 ∧ x13 = _x2010 ∧ x14 = _x2011 ∧ x15 = _x2012 ∧ x16 = _x2013 ∧ x17 = _x2014 ∧ x18 = _x2015 ∧ x19 = _x2016 ∧ x20 = _x2017 ∧ x21 = _x2018 ∧ x22 = _x2019 ∧ x23 = _x2020 ∧ x24 = _x2021 ∧ x25 = _x2022 ∧ x26 = _x2023 ∧ x27 = _x2024 ∧ x1 = _x2025 ∧ x2 = _x2026 ∧ x3 = _x2027 ∧ x4 = _x2028 ∧ x5 = _x2029 ∧ x6 = _x2030 ∧ x7 = _x2031 ∧ x8 = _x2032 ∧ x9 = _x2033 ∧ x10 = _x2034 ∧ x11 = _x2035 ∧ x12 = _x2036 ∧ x13 = _x2037 ∧ x14 = _x2038 ∧ x15 = _x2039 ∧ x16 = _x2040 ∧ x17 = _x2041 ∧ x18 = _x2042 ∧ x19 = _x2043 ∧ x20 = _x2044 ∧ x21 = _x2045 ∧ x22 = _x2046 ∧ x23 = _x2047 ∧ x24 = _x2048 ∧ x25 = _x2049 ∧ x26 = _x2050 ∧ x27 = _x2051 ∧ _x2024 = _x2051 ∧ _x2023 = _x2050 ∧ _x2022 = _x2049 ∧ _x2021 = _x2048 ∧ _x2020 = _x2047 ∧ _x2019 = _x2046 ∧ _x2018 = _x2045 ∧ _x2017 = _x2044 ∧ _x2016 = _x2043 ∧ _x2014 = _x2041 ∧ _x2013 = _x2040 ∧ _x2015 = _x2042 ∧ _x2012 = _x2039 ∧ _x2011 = _x2038 ∧ _x2010 = _x2037 ∧ _x2009 = _x2036 ∧ _x2008 = _x2035 ∧ _x2007 = _x2034 ∧ _x2006 = _x2033 ∧ _x2005 = _x2032 ∧ _x2004 = _x2031 ∧ _x2003 = _x2030 ∧ _x2002 = _x2029 ∧ _x2001 = _x2028 ∧ _x2000 = _x2027 ∧ _x1999 = _x2026 ∧ _x1998 = _x2025 ∧ 1 + _x2007 ≤ 0 l26 40 l27: x1 = _x2052 ∧ x2 = _x2053 ∧ x3 = _x2054 ∧ x4 = _x2055 ∧ x5 = _x2056 ∧ x6 = _x2057 ∧ x7 = _x2058 ∧ x8 = _x2059 ∧ x9 = _x2060 ∧ x10 = _x2061 ∧ x11 = _x2062 ∧ x12 = _x2063 ∧ x13 = _x2064 ∧ x14 = _x2065 ∧ x15 = _x2066 ∧ x16 = _x2067 ∧ x17 = _x2068 ∧ x18 = _x2069 ∧ x19 = _x2070 ∧ x20 = _x2071 ∧ x21 = _x2072 ∧ x22 = _x2073 ∧ x23 = _x2074 ∧ x24 = _x2075 ∧ x25 = _x2076 ∧ x26 = _x2077 ∧ x27 = _x2078 ∧ x1 = _x2079 ∧ x2 = _x2080 ∧ x3 = _x2081 ∧ x4 = _x2082 ∧ x5 = _x2083 ∧ x6 = _x2084 ∧ x7 = _x2085 ∧ x8 = _x2086 ∧ x9 = _x2087 ∧ x10 = _x2088 ∧ x11 = _x2089 ∧ x12 = _x2090 ∧ x13 = _x2091 ∧ x14 = _x2092 ∧ x15 = _x2093 ∧ x16 = _x2094 ∧ x17 = _x2095 ∧ x18 = _x2096 ∧ x19 = _x2097 ∧ x20 = _x2098 ∧ x21 = _x2099 ∧ x22 = _x2100 ∧ x23 = _x2101 ∧ x24 = _x2102 ∧ x25 = _x2103 ∧ x26 = _x2104 ∧ x27 = _x2105 ∧ _x2078 = _x2105 ∧ _x2077 = _x2104 ∧ _x2076 = _x2103 ∧ _x2075 = _x2102 ∧ _x2074 = _x2101 ∧ _x2073 = _x2100 ∧ _x2072 = _x2099 ∧ _x2071 = _x2098 ∧ _x2070 = _x2097 ∧ _x2068 = _x2095 ∧ _x2067 = _x2094 ∧ _x2069 = _x2096 ∧ _x2066 = _x2093 ∧ _x2065 = _x2092 ∧ _x2064 = _x2091 ∧ _x2063 = _x2090 ∧ _x2062 = _x2089 ∧ _x2061 = _x2088 ∧ _x2060 = _x2087 ∧ _x2059 = _x2086 ∧ _x2058 = _x2085 ∧ _x2057 = _x2084 ∧ _x2056 = _x2083 ∧ _x2055 = _x2082 ∧ _x2054 = _x2081 ∧ _x2053 = _x2080 ∧ _x2052 = _x2079 ∧ 0 ≤ _x2061 ∧ _x2061 ≤ 0 l6 41 l23: x1 = _x2106 ∧ x2 = _x2107 ∧ x3 = _x2108 ∧ x4 = _x2109 ∧ x5 = _x2110 ∧ x6 = _x2111 ∧ x7 = _x2112 ∧ x8 = _x2113 ∧ x9 = _x2114 ∧ x10 = _x2115 ∧ x11 = _x2116 ∧ x12 = _x2117 ∧ x13 = _x2118 ∧ x14 = _x2119 ∧ x15 = _x2120 ∧ x16 = _x2121 ∧ x17 = _x2122 ∧ x18 = _x2123 ∧ x19 = _x2124 ∧ x20 = _x2125 ∧ x21 = _x2126 ∧ x22 = _x2127 ∧ x23 = _x2128 ∧ x24 = _x2129 ∧ x25 = _x2130 ∧ x26 = _x2131 ∧ x27 = _x2132 ∧ x1 = _x2133 ∧ x2 = _x2134 ∧ x3 = _x2135 ∧ x4 = _x2136 ∧ x5 = _x2137 ∧ x6 = _x2138 ∧ x7 = _x2139 ∧ x8 = _x2140 ∧ x9 = _x2141 ∧ x10 = _x2142 ∧ x11 = _x2143 ∧ x12 = _x2144 ∧ x13 = _x2145 ∧ x14 = _x2146 ∧ x15 = _x2147 ∧ x16 = _x2148 ∧ x17 = _x2149 ∧ x18 = _x2150 ∧ x19 = _x2151 ∧ x20 = _x2152 ∧ x21 = _x2153 ∧ x22 = _x2154 ∧ x23 = _x2155 ∧ x24 = _x2156 ∧ x25 = _x2157 ∧ x26 = _x2158 ∧ x27 = _x2159 ∧ _x2132 = _x2159 ∧ _x2131 = _x2158 ∧ _x2130 = _x2157 ∧ _x2129 = _x2156 ∧ _x2128 = _x2155 ∧ _x2127 = _x2154 ∧ _x2126 = _x2153 ∧ _x2125 = _x2152 ∧ _x2124 = _x2151 ∧ _x2122 = _x2149 ∧ _x2121 = _x2148 ∧ _x2123 = _x2150 ∧ _x2120 = _x2147 ∧ _x2119 = _x2146 ∧ _x2118 = _x2145 ∧ _x2117 = _x2144 ∧ _x2116 = _x2143 ∧ _x2115 = _x2142 ∧ _x2114 = _x2141 ∧ _x2113 = _x2140 ∧ _x2112 = _x2139 ∧ _x2111 = _x2138 ∧ _x2110 = _x2137 ∧ _x2109 = _x2136 ∧ _x2108 = _x2135 ∧ _x2107 = _x2134 ∧ _x2106 = _x2133 l28 42 l29: x1 = _x2160 ∧ x2 = _x2161 ∧ x3 = _x2162 ∧ x4 = _x2163 ∧ x5 = _x2164 ∧ x6 = _x2165 ∧ x7 = _x2166 ∧ x8 = _x2167 ∧ x9 = _x2168 ∧ x10 = _x2169 ∧ x11 = _x2170 ∧ x12 = _x2171 ∧ x13 = _x2172 ∧ x14 = _x2173 ∧ x15 = _x2174 ∧ x16 = _x2175 ∧ x17 = _x2176 ∧ x18 = _x2177 ∧ x19 = _x2178 ∧ x20 = _x2179 ∧ x21 = _x2180 ∧ x22 = _x2181 ∧ x23 = _x2182 ∧ x24 = _x2183 ∧ x25 = _x2184 ∧ x26 = _x2185 ∧ x27 = _x2186 ∧ x1 = _x2187 ∧ x2 = _x2188 ∧ x3 = _x2189 ∧ x4 = _x2190 ∧ x5 = _x2191 ∧ x6 = _x2192 ∧ x7 = _x2193 ∧ x8 = _x2194 ∧ x9 = _x2195 ∧ x10 = _x2196 ∧ x11 = _x2197 ∧ x12 = _x2198 ∧ x13 = _x2199 ∧ x14 = _x2200 ∧ x15 = _x2201 ∧ x16 = _x2202 ∧ x17 = _x2203 ∧ x18 = _x2204 ∧ x19 = _x2205 ∧ x20 = _x2206 ∧ x21 = _x2207 ∧ x22 = _x2208 ∧ x23 = _x2209 ∧ x24 = _x2210 ∧ x25 = _x2211 ∧ x26 = _x2212 ∧ x27 = _x2213 ∧ _x2186 = _x2213 ∧ _x2185 = _x2212 ∧ _x2184 = _x2211 ∧ _x2183 = _x2210 ∧ _x2182 = _x2209 ∧ _x2181 = _x2208 ∧ _x2180 = _x2207 ∧ _x2179 = _x2206 ∧ _x2178 = _x2205 ∧ _x2176 = _x2203 ∧ _x2175 = _x2202 ∧ _x2177 = _x2204 ∧ _x2174 = _x2201 ∧ _x2173 = _x2200 ∧ _x2172 = _x2199 ∧ _x2171 = _x2198 ∧ _x2170 = _x2197 ∧ _x2169 = _x2196 ∧ _x2168 = _x2195 ∧ _x2167 = _x2194 ∧ _x2166 = _x2193 ∧ _x2165 = _x2192 ∧ _x2163 = _x2190 ∧ _x2162 = _x2189 ∧ _x2161 = _x2188 ∧ _x2160 = _x2187 ∧ _x2191 = 1 + _x2164 ∧ 1 + _x2167 ≤ _x2165 l28 43 l30: x1 = _x2214 ∧ x2 = _x2215 ∧ x3 = _x2216 ∧ x4 = _x2217 ∧ x5 = _x2218 ∧ x6 = _x2219 ∧ x7 = _x2220 ∧ x8 = _x2221 ∧ x9 = _x2222 ∧ x10 = _x2223 ∧ x11 = _x2224 ∧ x12 = _x2225 ∧ x13 = _x2226 ∧ x14 = _x2227 ∧ x15 = _x2228 ∧ x16 = _x2229 ∧ x17 = _x2230 ∧ x18 = _x2231 ∧ x19 = _x2232 ∧ x20 = _x2233 ∧ x21 = _x2234 ∧ x22 = _x2235 ∧ x23 = _x2236 ∧ x24 = _x2237 ∧ x25 = _x2238 ∧ x26 = _x2239 ∧ x27 = _x2240 ∧ x1 = _x2241 ∧ x2 = _x2242 ∧ x3 = _x2243 ∧ x4 = _x2244 ∧ x5 = _x2245 ∧ x6 = _x2246 ∧ x7 = _x2247 ∧ x8 = _x2248 ∧ x9 = _x2249 ∧ x10 = _x2250 ∧ x11 = _x2251 ∧ x12 = _x2252 ∧ x13 = _x2253 ∧ x14 = _x2254 ∧ x15 = _x2255 ∧ x16 = _x2256 ∧ x17 = _x2257 ∧ x18 = _x2258 ∧ x19 = _x2259 ∧ x20 = _x2260 ∧ x21 = _x2261 ∧ x22 = _x2262 ∧ x23 = _x2263 ∧ x24 = _x2264 ∧ x25 = _x2265 ∧ x26 = _x2266 ∧ x27 = _x2267 ∧ _x2240 = _x2267 ∧ _x2239 = _x2266 ∧ _x2238 = _x2265 ∧ _x2237 = _x2264 ∧ _x2236 = _x2263 ∧ _x2235 = _x2262 ∧ _x2234 = _x2261 ∧ _x2233 = _x2260 ∧ _x2232 = _x2259 ∧ _x2230 = _x2257 ∧ _x2229 = _x2256 ∧ _x2231 = _x2258 ∧ _x2227 = _x2254 ∧ _x2226 = _x2253 ∧ _x2225 = _x2252 ∧ _x2224 = _x2251 ∧ _x2222 = _x2249 ∧ _x2221 = _x2248 ∧ _x2220 = _x2247 ∧ _x2218 = _x2245 ∧ _x2217 = _x2244 ∧ _x2216 = _x2243 ∧ _x2215 = _x2242 ∧ _x2214 = _x2241 ∧ _x2246 = 1 + _x2219 ∧ _x2250 = _x2223 + _x2255 ∧ _x2255 = _x2255 ∧ _x2219 ≤ _x2221 l30 44 l28: x1 = _x2268 ∧ x2 = _x2269 ∧ x3 = _x2270 ∧ x4 = _x2271 ∧ x5 = _x2272 ∧ x6 = _x2273 ∧ x7 = _x2274 ∧ x8 = _x2275 ∧ x9 = _x2276 ∧ x10 = _x2277 ∧ x11 = _x2278 ∧ x12 = _x2279 ∧ x13 = _x2280 ∧ x14 = _x2281 ∧ x15 = _x2282 ∧ x16 = _x2283 ∧ x17 = _x2284 ∧ x18 = _x2285 ∧ x19 = _x2286 ∧ x20 = _x2287 ∧ x21 = _x2288 ∧ x22 = _x2289 ∧ x23 = _x2290 ∧ x24 = _x2291 ∧ x25 = _x2292 ∧ x26 = _x2293 ∧ x27 = _x2294 ∧ x1 = _x2295 ∧ x2 = _x2296 ∧ x3 = _x2297 ∧ x4 = _x2298 ∧ x5 = _x2299 ∧ x6 = _x2300 ∧ x7 = _x2301 ∧ x8 = _x2302 ∧ x9 = _x2303 ∧ x10 = _x2304 ∧ x11 = _x2305 ∧ x12 = _x2306 ∧ x13 = _x2307 ∧ x14 = _x2308 ∧ x15 = _x2309 ∧ x16 = _x2310 ∧ x17 = _x2311 ∧ x18 = _x2312 ∧ x19 = _x2313 ∧ x20 = _x2314 ∧ x21 = _x2315 ∧ x22 = _x2316 ∧ x23 = _x2317 ∧ x24 = _x2318 ∧ x25 = _x2319 ∧ x26 = _x2320 ∧ x27 = _x2321 ∧ _x2294 = _x2321 ∧ _x2293 = _x2320 ∧ _x2292 = _x2319 ∧ _x2291 = _x2318 ∧ _x2290 = _x2317 ∧ _x2289 = _x2316 ∧ _x2288 = _x2315 ∧ _x2287 = _x2314 ∧ _x2286 = _x2313 ∧ _x2284 = _x2311 ∧ _x2283 = _x2310 ∧ _x2285 = _x2312 ∧ _x2282 = _x2309 ∧ _x2281 = _x2308 ∧ _x2280 = _x2307 ∧ _x2279 = _x2306 ∧ _x2278 = _x2305 ∧ _x2277 = _x2304 ∧ _x2276 = _x2303 ∧ _x2275 = _x2302 ∧ _x2274 = _x2301 ∧ _x2273 = _x2300 ∧ _x2272 = _x2299 ∧ _x2271 = _x2298 ∧ _x2270 = _x2297 ∧ _x2269 = _x2296 ∧ _x2268 = _x2295 l31 45 l26: x1 = _x2322 ∧ x2 = _x2323 ∧ x3 = _x2324 ∧ x4 = _x2325 ∧ x5 = _x2326 ∧ x6 = _x2327 ∧ x7 = _x2328 ∧ x8 = _x2329 ∧ x9 = _x2330 ∧ x10 = _x2331 ∧ x11 = _x2332 ∧ x12 = _x2333 ∧ x13 = _x2334 ∧ x14 = _x2335 ∧ x15 = _x2336 ∧ x16 = _x2337 ∧ x17 = _x2338 ∧ x18 = _x2339 ∧ x19 = _x2340 ∧ x20 = _x2341 ∧ x21 = _x2342 ∧ x22 = _x2343 ∧ x23 = _x2344 ∧ x24 = _x2345 ∧ x25 = _x2346 ∧ x26 = _x2347 ∧ x27 = _x2348 ∧ x1 = _x2349 ∧ x2 = _x2350 ∧ x3 = _x2351 ∧ x4 = _x2352 ∧ x5 = _x2353 ∧ x6 = _x2354 ∧ x7 = _x2355 ∧ x8 = _x2356 ∧ x9 = _x2357 ∧ x10 = _x2358 ∧ x11 = _x2359 ∧ x12 = _x2360 ∧ x13 = _x2361 ∧ x14 = _x2362 ∧ x15 = _x2363 ∧ x16 = _x2364 ∧ x17 = _x2365 ∧ x18 = _x2366 ∧ x19 = _x2367 ∧ x20 = _x2368 ∧ x21 = _x2369 ∧ x22 = _x2370 ∧ x23 = _x2371 ∧ x24 = _x2372 ∧ x25 = _x2373 ∧ x26 = _x2374 ∧ x27 = _x2375 ∧ _x2348 = _x2375 ∧ _x2347 = _x2374 ∧ _x2346 = _x2373 ∧ _x2345 = _x2372 ∧ _x2344 = _x2371 ∧ _x2343 = _x2370 ∧ _x2342 = _x2369 ∧ _x2341 = _x2368 ∧ _x2340 = _x2367 ∧ _x2338 = _x2365 ∧ _x2337 = _x2364 ∧ _x2339 = _x2366 ∧ _x2336 = _x2363 ∧ _x2335 = _x2362 ∧ _x2334 = _x2361 ∧ _x2333 = _x2360 ∧ _x2332 = _x2359 ∧ _x2331 = _x2358 ∧ _x2330 = _x2357 ∧ _x2329 = _x2356 ∧ _x2328 = _x2355 ∧ _x2327 = _x2354 ∧ _x2326 = _x2353 ∧ _x2325 = _x2352 ∧ _x2324 = _x2351 ∧ _x2323 = _x2350 ∧ _x2322 = _x2349 ∧ _x2329 ≤ _x2326 l31 46 l30: x1 = _x2376 ∧ x2 = _x2377 ∧ x3 = _x2378 ∧ x4 = _x2379 ∧ x5 = _x2380 ∧ x6 = _x2381 ∧ x7 = _x2382 ∧ x8 = _x2383 ∧ x9 = _x2384 ∧ x10 = _x2385 ∧ x11 = _x2386 ∧ x12 = _x2387 ∧ x13 = _x2388 ∧ x14 = _x2389 ∧ x15 = _x2390 ∧ x16 = _x2391 ∧ x17 = _x2392 ∧ x18 = _x2393 ∧ x19 = _x2394 ∧ x20 = _x2395 ∧ x21 = _x2396 ∧ x22 = _x2397 ∧ x23 = _x2398 ∧ x24 = _x2399 ∧ x25 = _x2400 ∧ x26 = _x2401 ∧ x27 = _x2402 ∧ x1 = _x2403 ∧ x2 = _x2404 ∧ x3 = _x2405 ∧ x4 = _x2406 ∧ x5 = _x2407 ∧ x6 = _x2408 ∧ x7 = _x2409 ∧ x8 = _x2410 ∧ x9 = _x2411 ∧ x10 = _x2412 ∧ x11 = _x2413 ∧ x12 = _x2414 ∧ x13 = _x2415 ∧ x14 = _x2416 ∧ x15 = _x2417 ∧ x16 = _x2418 ∧ x17 = _x2419 ∧ x18 = _x2420 ∧ x19 = _x2421 ∧ x20 = _x2422 ∧ x21 = _x2423 ∧ x22 = _x2424 ∧ x23 = _x2425 ∧ x24 = _x2426 ∧ x25 = _x2427 ∧ x26 = _x2428 ∧ x27 = _x2429 ∧ _x2402 = _x2429 ∧ _x2401 = _x2428 ∧ _x2400 = _x2427 ∧ _x2399 = _x2426 ∧ _x2398 = _x2425 ∧ _x2397 = _x2424 ∧ _x2396 = _x2423 ∧ _x2395 = _x2422 ∧ _x2394 = _x2421 ∧ _x2392 = _x2419 ∧ _x2391 = _x2418 ∧ _x2393 = _x2420 ∧ _x2390 = _x2417 ∧ _x2389 = _x2416 ∧ _x2388 = _x2415 ∧ _x2387 = _x2414 ∧ _x2386 = _x2413 ∧ _x2385 = _x2412 ∧ _x2384 = _x2411 ∧ _x2383 = _x2410 ∧ _x2382 = _x2409 ∧ _x2381 = _x2408 ∧ _x2380 = _x2407 ∧ _x2379 = _x2406 ∧ _x2378 = _x2405 ∧ _x2377 = _x2404 ∧ _x2376 = _x2403 ∧ _x2380 ≤ −1 + _x2383 l29 47 l31: x1 = _x2430 ∧ x2 = _x2431 ∧ x3 = _x2432 ∧ x4 = _x2433 ∧ x5 = _x2434 ∧ x6 = _x2435 ∧ x7 = _x2436 ∧ x8 = _x2437 ∧ x9 = _x2438 ∧ x10 = _x2439 ∧ x11 = _x2440 ∧ x12 = _x2441 ∧ x13 = _x2442 ∧ x14 = _x2443 ∧ x15 = _x2444 ∧ x16 = _x2445 ∧ x17 = _x2446 ∧ x18 = _x2447 ∧ x19 = _x2448 ∧ x20 = _x2449 ∧ x21 = _x2450 ∧ x22 = _x2451 ∧ x23 = _x2452 ∧ x24 = _x2453 ∧ x25 = _x2454 ∧ x26 = _x2455 ∧ x27 = _x2456 ∧ x1 = _x2457 ∧ x2 = _x2458 ∧ x3 = _x2459 ∧ x4 = _x2460 ∧ x5 = _x2461 ∧ x6 = _x2462 ∧ x7 = _x2463 ∧ x8 = _x2464 ∧ x9 = _x2465 ∧ x10 = _x2466 ∧ x11 = _x2467 ∧ x12 = _x2468 ∧ x13 = _x2469 ∧ x14 = _x2470 ∧ x15 = _x2471 ∧ x16 = _x2472 ∧ x17 = _x2473 ∧ x18 = _x2474 ∧ x19 = _x2475 ∧ x20 = _x2476 ∧ x21 = _x2477 ∧ x22 = _x2478 ∧ x23 = _x2479 ∧ x24 = _x2480 ∧ x25 = _x2481 ∧ x26 = _x2482 ∧ x27 = _x2483 ∧ _x2456 = _x2483 ∧ _x2455 = _x2482 ∧ _x2454 = _x2481 ∧ _x2453 = _x2480 ∧ _x2452 = _x2479 ∧ _x2451 = _x2478 ∧ _x2450 = _x2477 ∧ _x2449 = _x2476 ∧ _x2448 = _x2475 ∧ _x2446 = _x2473 ∧ _x2445 = _x2472 ∧ _x2447 = _x2474 ∧ _x2444 = _x2471 ∧ _x2443 = _x2470 ∧ _x2442 = _x2469 ∧ _x2441 = _x2468 ∧ _x2440 = _x2467 ∧ _x2439 = _x2466 ∧ _x2438 = _x2465 ∧ _x2437 = _x2464 ∧ _x2436 = _x2463 ∧ _x2435 = _x2462 ∧ _x2434 = _x2461 ∧ _x2433 = _x2460 ∧ _x2432 = _x2459 ∧ _x2431 = _x2458 ∧ _x2430 = _x2457 l32 48 l27: x1 = _x2484 ∧ x2 = _x2485 ∧ x3 = _x2486 ∧ x4 = _x2487 ∧ x5 = _x2488 ∧ x6 = _x2489 ∧ x7 = _x2490 ∧ x8 = _x2491 ∧ x9 = _x2492 ∧ x10 = _x2493 ∧ x11 = _x2494 ∧ x12 = _x2495 ∧ x13 = _x2496 ∧ x14 = _x2497 ∧ x15 = _x2498 ∧ x16 = _x2499 ∧ x17 = _x2500 ∧ x18 = _x2501 ∧ x19 = _x2502 ∧ x20 = _x2503 ∧ x21 = _x2504 ∧ x22 = _x2505 ∧ x23 = _x2506 ∧ x24 = _x2507 ∧ x25 = _x2508 ∧ x26 = _x2509 ∧ x27 = _x2510 ∧ x1 = _x2511 ∧ x2 = _x2512 ∧ x3 = _x2513 ∧ x4 = _x2514 ∧ x5 = _x2515 ∧ x6 = _x2516 ∧ x7 = _x2517 ∧ x8 = _x2518 ∧ x9 = _x2519 ∧ x10 = _x2520 ∧ x11 = _x2521 ∧ x12 = _x2522 ∧ x13 = _x2523 ∧ x14 = _x2524 ∧ x15 = _x2525 ∧ x16 = _x2526 ∧ x17 = _x2527 ∧ x18 = _x2528 ∧ x19 = _x2529 ∧ x20 = _x2530 ∧ x21 = _x2531 ∧ x22 = _x2532 ∧ x23 = _x2533 ∧ x24 = _x2534 ∧ x25 = _x2535 ∧ x26 = _x2536 ∧ x27 = _x2537 ∧ _x2510 = _x2537 ∧ _x2509 = _x2536 ∧ _x2508 = _x2535 ∧ _x2507 = _x2534 ∧ _x2506 = _x2533 ∧ _x2505 = _x2532 ∧ _x2504 = _x2531 ∧ _x2503 = _x2530 ∧ _x2502 = _x2529 ∧ _x2500 = _x2527 ∧ _x2499 = _x2526 ∧ _x2501 = _x2528 ∧ _x2498 = _x2525 ∧ _x2497 = _x2524 ∧ _x2496 = _x2523 ∧ _x2495 = _x2522 ∧ _x2494 = _x2521 ∧ _x2493 = _x2520 ∧ _x2492 = _x2519 ∧ _x2491 = _x2518 ∧ _x2490 = _x2517 ∧ _x2489 = _x2516 ∧ _x2488 = _x2515 ∧ _x2487 = _x2514 ∧ _x2486 = _x2513 ∧ _x2485 = _x2512 ∧ _x2484 = _x2511 ∧ 51 ≤ _x2487 l32 49 l29: x1 = _x2538 ∧ x2 = _x2539 ∧ x3 = _x2540 ∧ x4 = _x2541 ∧ x5 = _x2542 ∧ x6 = _x2543 ∧ x7 = _x2544 ∧ x8 = _x2545 ∧ x9 = _x2546 ∧ x10 = _x2547 ∧ x11 = _x2548 ∧ x12 = _x2549 ∧ x13 = _x2550 ∧ x14 = _x2551 ∧ x15 = _x2552 ∧ x16 = _x2553 ∧ x17 = _x2554 ∧ x18 = _x2555 ∧ x19 = _x2556 ∧ x20 = _x2557 ∧ x21 = _x2558 ∧ x22 = _x2559 ∧ x23 = _x2560 ∧ x24 = _x2561 ∧ x25 = _x2562 ∧ x26 = _x2563 ∧ x27 = _x2564 ∧ x1 = _x2565 ∧ x2 = _x2566 ∧ x3 = _x2567 ∧ x4 = _x2568 ∧ x5 = _x2569 ∧ x6 = _x2570 ∧ x7 = _x2571 ∧ x8 = _x2572 ∧ x9 = _x2573 ∧ x10 = _x2574 ∧ x11 = _x2575 ∧ x12 = _x2576 ∧ x13 = _x2577 ∧ x14 = _x2578 ∧ x15 = _x2579 ∧ x16 = _x2580 ∧ x17 = _x2581 ∧ x18 = _x2582 ∧ x19 = _x2583 ∧ x20 = _x2584 ∧ x21 = _x2585 ∧ x22 = _x2586 ∧ x23 = _x2587 ∧ x24 = _x2588 ∧ x25 = _x2589 ∧ x26 = _x2590 ∧ x27 = _x2591 ∧ _x2564 = _x2591 ∧ _x2563 = _x2590 ∧ _x2562 = _x2589 ∧ _x2561 = _x2588 ∧ _x2560 = _x2587 ∧ _x2559 = _x2586 ∧ _x2558 = _x2585 ∧ _x2557 = _x2584 ∧ _x2556 = _x2583 ∧ _x2554 = _x2581 ∧ _x2553 = _x2580 ∧ _x2555 = _x2582 ∧ _x2552 = _x2579 ∧ _x2551 = _x2578 ∧ _x2550 = _x2577 ∧ _x2549 = _x2576 ∧ _x2548 = _x2575 ∧ _x2546 = _x2573 ∧ _x2545 = _x2572 ∧ _x2544 = _x2571 ∧ _x2543 = _x2570 ∧ _x2542 = _x2569 ∧ _x2541 = _x2568 ∧ _x2540 = _x2567 ∧ _x2539 = _x2566 ∧ _x2538 = _x2565 ∧ _x2574 = 0 ∧ _x2541 ≤ 50 l33 50 l32: x1 = _x2592 ∧ x2 = _x2593 ∧ x3 = _x2594 ∧ x4 = _x2595 ∧ x5 = _x2596 ∧ x6 = _x2597 ∧ x7 = _x2598 ∧ x8 = _x2599 ∧ x9 = _x2600 ∧ x10 = _x2601 ∧ x11 = _x2602 ∧ x12 = _x2603 ∧ x13 = _x2604 ∧ x14 = _x2605 ∧ x15 = _x2606 ∧ x16 = _x2607 ∧ x17 = _x2608 ∧ x18 = _x2609 ∧ x19 = _x2610 ∧ x20 = _x2611 ∧ x21 = _x2612 ∧ x22 = _x2613 ∧ x23 = _x2614 ∧ x24 = _x2615 ∧ x25 = _x2616 ∧ x26 = _x2617 ∧ x27 = _x2618 ∧ x1 = _x2619 ∧ x2 = _x2620 ∧ x3 = _x2621 ∧ x4 = _x2622 ∧ x5 = _x2623 ∧ x6 = _x2624 ∧ x7 = _x2625 ∧ x8 = _x2626 ∧ x9 = _x2627 ∧ x10 = _x2628 ∧ x11 = _x2629 ∧ x12 = _x2630 ∧ x13 = _x2631 ∧ x14 = _x2632 ∧ x15 = _x2633 ∧ x16 = _x2634 ∧ x17 = _x2635 ∧ x18 = _x2636 ∧ x19 = _x2637 ∧ x20 = _x2638 ∧ x21 = _x2639 ∧ x22 = _x2640 ∧ x23 = _x2641 ∧ x24 = _x2642 ∧ x25 = _x2643 ∧ x26 = _x2644 ∧ x27 = _x2645 ∧ _x2618 = _x2645 ∧ _x2617 = _x2644 ∧ _x2616 = _x2643 ∧ _x2615 = _x2642 ∧ _x2614 = _x2641 ∧ _x2613 = _x2640 ∧ _x2612 = _x2639 ∧ _x2611 = _x2638 ∧ _x2610 = _x2637 ∧ _x2608 = _x2635 ∧ _x2607 = _x2634 ∧ _x2609 = _x2636 ∧ _x2606 = _x2633 ∧ _x2605 = _x2632 ∧ _x2604 = _x2631 ∧ _x2603 = _x2630 ∧ _x2602 = _x2629 ∧ _x2601 = _x2628 ∧ _x2600 = _x2627 ∧ _x2599 = _x2626 ∧ _x2598 = _x2625 ∧ _x2597 = _x2624 ∧ _x2596 = _x2623 ∧ _x2595 = _x2622 ∧ _x2594 = _x2621 ∧ _x2593 = _x2620 ∧ _x2592 = _x2619 l34 51 l6: x1 = _x2646 ∧ x2 = _x2647 ∧ x3 = _x2648 ∧ x4 = _x2649 ∧ x5 = _x2650 ∧ x6 = _x2651 ∧ x7 = _x2652 ∧ x8 = _x2653 ∧ x9 = _x2654 ∧ x10 = _x2655 ∧ x11 = _x2656 ∧ x12 = _x2657 ∧ x13 = _x2658 ∧ x14 = _x2659 ∧ x15 = _x2660 ∧ x16 = _x2661 ∧ x17 = _x2662 ∧ x18 = _x2663 ∧ x19 = _x2664 ∧ x20 = _x2665 ∧ x21 = _x2666 ∧ x22 = _x2667 ∧ x23 = _x2668 ∧ x24 = _x2669 ∧ x25 = _x2670 ∧ x26 = _x2671 ∧ x27 = _x2672 ∧ x1 = _x2673 ∧ x2 = _x2674 ∧ x3 = _x2675 ∧ x4 = _x2676 ∧ x5 = _x2677 ∧ x6 = _x2678 ∧ x7 = _x2679 ∧ x8 = _x2680 ∧ x9 = _x2681 ∧ x10 = _x2682 ∧ x11 = _x2683 ∧ x12 = _x2684 ∧ x13 = _x2685 ∧ x14 = _x2686 ∧ x15 = _x2687 ∧ x16 = _x2688 ∧ x17 = _x2689 ∧ x18 = _x2690 ∧ x19 = _x2691 ∧ x20 = _x2692 ∧ x21 = _x2693 ∧ x22 = _x2694 ∧ x23 = _x2695 ∧ x24 = _x2696 ∧ x25 = _x2697 ∧ x26 = _x2698 ∧ x27 = _x2699 ∧ _x2672 = _x2699 ∧ _x2671 = _x2698 ∧ _x2670 = _x2697 ∧ _x2669 = _x2696 ∧ _x2668 = _x2695 ∧ _x2667 = _x2694 ∧ _x2666 = _x2693 ∧ _x2665 = _x2692 ∧ _x2664 = _x2691 ∧ _x2662 = _x2689 ∧ _x2661 = _x2688 ∧ _x2663 = _x2690 ∧ _x2660 = _x2687 ∧ _x2659 = _x2686 ∧ _x2658 = _x2685 ∧ _x2657 = _x2684 ∧ _x2656 = _x2683 ∧ _x2655 = _x2682 ∧ _x2654 = _x2681 ∧ _x2653 = _x2680 ∧ _x2652 = _x2679 ∧ _x2651 = _x2678 ∧ _x2650 = _x2677 ∧ _x2649 = _x2676 ∧ _x2648 = _x2675 ∧ _x2647 = _x2674 ∧ _x2646 = _x2673 l35 52 l33: x1 = _x2700 ∧ x2 = _x2701 ∧ x3 = _x2702 ∧ x4 = _x2703 ∧ x5 = _x2704 ∧ x6 = _x2705 ∧ x7 = _x2706 ∧ x8 = _x2707 ∧ x9 = _x2708 ∧ x10 = _x2709 ∧ x11 = _x2710 ∧ x12 = _x2711 ∧ x13 = _x2712 ∧ x14 = _x2713 ∧ x15 = _x2714 ∧ x16 = _x2715 ∧ x17 = _x2716 ∧ x18 = _x2717 ∧ x19 = _x2718 ∧ x20 = _x2719 ∧ x21 = _x2720 ∧ x22 = _x2721 ∧ x23 = _x2722 ∧ x24 = _x2723 ∧ x25 = _x2724 ∧ x26 = _x2725 ∧ x27 = _x2726 ∧ x1 = _x2727 ∧ x2 = _x2728 ∧ x3 = _x2729 ∧ x4 = _x2730 ∧ x5 = _x2731 ∧ x6 = _x2732 ∧ x7 = _x2733 ∧ x8 = _x2734 ∧ x9 = _x2735 ∧ x10 = _x2736 ∧ x11 = _x2737 ∧ x12 = _x2738 ∧ x13 = _x2739 ∧ x14 = _x2740 ∧ x15 = _x2741 ∧ x16 = _x2742 ∧ x17 = _x2743 ∧ x18 = _x2744 ∧ x19 = _x2745 ∧ x20 = _x2746 ∧ x21 = _x2747 ∧ x22 = _x2748 ∧ x23 = _x2749 ∧ x24 = _x2750 ∧ x25 = _x2751 ∧ x26 = _x2752 ∧ x27 = _x2753 ∧ _x2726 = _x2753 ∧ _x2725 = _x2752 ∧ _x2724 = _x2751 ∧ _x2723 = _x2750 ∧ _x2722 = _x2749 ∧ _x2721 = _x2748 ∧ _x2720 = _x2747 ∧ _x2719 = _x2746 ∧ _x2718 = _x2745 ∧ _x2716 = _x2743 ∧ _x2715 = _x2742 ∧ _x2717 = _x2744 ∧ _x2714 = _x2741 ∧ _x2713 = _x2740 ∧ _x2712 = _x2739 ∧ _x2711 = _x2738 ∧ _x2710 = _x2737 ∧ _x2709 = _x2736 ∧ _x2708 = _x2735 ∧ _x2707 = _x2734 ∧ _x2706 = _x2733 ∧ _x2705 = _x2732 ∧ _x2704 = _x2731 ∧ _x2703 = _x2730 ∧ _x2702 = _x2729 ∧ _x2701 = _x2728 ∧ _x2700 = _x2727 ∧ 1 + _x2707 ≤ _x2704 l35 53 l24: x1 = _x2754 ∧ x2 = _x2755 ∧ x3 = _x2756 ∧ x4 = _x2757 ∧ x5 = _x2758 ∧ x6 = _x2759 ∧ x7 = _x2760 ∧ x8 = _x2761 ∧ x9 = _x2762 ∧ x10 = _x2763 ∧ x11 = _x2764 ∧ x12 = _x2765 ∧ x13 = _x2766 ∧ x14 = _x2767 ∧ x15 = _x2768 ∧ x16 = _x2769 ∧ x17 = _x2770 ∧ x18 = _x2771 ∧ x19 = _x2772 ∧ x20 = _x2773 ∧ x21 = _x2774 ∧ x22 = _x2775 ∧ x23 = _x2776 ∧ x24 = _x2777 ∧ x25 = _x2778 ∧ x26 = _x2779 ∧ x27 = _x2780 ∧ x1 = _x2781 ∧ x2 = _x2782 ∧ x3 = _x2783 ∧ x4 = _x2784 ∧ x5 = _x2785 ∧ x6 = _x2786 ∧ x7 = _x2787 ∧ x8 = _x2788 ∧ x9 = _x2789 ∧ x10 = _x2790 ∧ x11 = _x2791 ∧ x12 = _x2792 ∧ x13 = _x2793 ∧ x14 = _x2794 ∧ x15 = _x2795 ∧ x16 = _x2796 ∧ x17 = _x2797 ∧ x18 = _x2798 ∧ x19 = _x2799 ∧ x20 = _x2800 ∧ x21 = _x2801 ∧ x22 = _x2802 ∧ x23 = _x2803 ∧ x24 = _x2804 ∧ x25 = _x2805 ∧ x26 = _x2806 ∧ x27 = _x2807 ∧ _x2780 = _x2807 ∧ _x2779 = _x2806 ∧ _x2778 = _x2805 ∧ _x2777 = _x2804 ∧ _x2776 = _x2803 ∧ _x2775 = _x2802 ∧ _x2774 = _x2801 ∧ _x2773 = _x2800 ∧ _x2772 = _x2799 ∧ _x2770 = _x2797 ∧ _x2769 = _x2796 ∧ _x2771 = _x2798 ∧ _x2768 = _x2795 ∧ _x2766 = _x2793 ∧ _x2765 = _x2792 ∧ _x2764 = _x2791 ∧ _x2763 = _x2790 ∧ _x2762 = _x2789 ∧ _x2761 = _x2788 ∧ _x2760 = _x2787 ∧ _x2759 = _x2786 ∧ _x2757 = _x2784 ∧ _x2756 = _x2783 ∧ _x2755 = _x2782 ∧ _x2754 = _x2781 ∧ _x2785 = 1 + _x2758 ∧ _x2794 = _x2794 ∧ _x2758 ≤ _x2761 l24 54 l35: x1 = _x2808 ∧ x2 = _x2809 ∧ x3 = _x2810 ∧ x4 = _x2811 ∧ x5 = _x2812 ∧ x6 = _x2813 ∧ x7 = _x2814 ∧ x8 = _x2815 ∧ x9 = _x2816 ∧ x10 = _x2817 ∧ x11 = _x2818 ∧ x12 = _x2819 ∧ x13 = _x2820 ∧ x14 = _x2821 ∧ x15 = _x2822 ∧ x16 = _x2823 ∧ x17 = _x2824 ∧ x18 = _x2825 ∧ x19 = _x2826 ∧ x20 = _x2827 ∧ x21 = _x2828 ∧ x22 = _x2829 ∧ x23 = _x2830 ∧ x24 = _x2831 ∧ x25 = _x2832 ∧ x26 = _x2833 ∧ x27 = _x2834 ∧ x1 = _x2835 ∧ x2 = _x2836 ∧ x3 = _x2837 ∧ x4 = _x2838 ∧ x5 = _x2839 ∧ x6 = _x2840 ∧ x7 = _x2841 ∧ x8 = _x2842 ∧ x9 = _x2843 ∧ x10 = _x2844 ∧ x11 = _x2845 ∧ x12 = _x2846 ∧ x13 = _x2847 ∧ x14 = _x2848 ∧ x15 = _x2849 ∧ x16 = _x2850 ∧ x17 = _x2851 ∧ x18 = _x2852 ∧ x19 = _x2853 ∧ x20 = _x2854 ∧ x21 = _x2855 ∧ x22 = _x2856 ∧ x23 = _x2857 ∧ x24 = _x2858 ∧ x25 = _x2859 ∧ x26 = _x2860 ∧ x27 = _x2861 ∧ _x2834 = _x2861 ∧ _x2833 = _x2860 ∧ _x2832 = _x2859 ∧ _x2831 = _x2858 ∧ _x2830 = _x2857 ∧ _x2829 = _x2856 ∧ _x2828 = _x2855 ∧ _x2827 = _x2854 ∧ _x2826 = _x2853 ∧ _x2824 = _x2851 ∧ _x2823 = _x2850 ∧ _x2825 = _x2852 ∧ _x2822 = _x2849 ∧ _x2821 = _x2848 ∧ _x2820 = _x2847 ∧ _x2819 = _x2846 ∧ _x2818 = _x2845 ∧ _x2817 = _x2844 ∧ _x2816 = _x2843 ∧ _x2815 = _x2842 ∧ _x2814 = _x2841 ∧ _x2813 = _x2840 ∧ _x2812 = _x2839 ∧ _x2811 = _x2838 ∧ _x2810 = _x2837 ∧ _x2809 = _x2836 ∧ _x2808 = _x2835 l36 55 l33: x1 = _x2862 ∧ x2 = _x2863 ∧ x3 = _x2864 ∧ x4 = _x2865 ∧ x5 = _x2866 ∧ x6 = _x2867 ∧ x7 = _x2868 ∧ x8 = _x2869 ∧ x9 = _x2870 ∧ x10 = _x2871 ∧ x11 = _x2872 ∧ x12 = _x2873 ∧ x13 = _x2874 ∧ x14 = _x2875 ∧ x15 = _x2876 ∧ x16 = _x2877 ∧ x17 = _x2878 ∧ x18 = _x2879 ∧ x19 = _x2880 ∧ x20 = _x2881 ∧ x21 = _x2882 ∧ x22 = _x2883 ∧ x23 = _x2884 ∧ x24 = _x2885 ∧ x25 = _x2886 ∧ x26 = _x2887 ∧ x27 = _x2888 ∧ x1 = _x2889 ∧ x2 = _x2890 ∧ x3 = _x2891 ∧ x4 = _x2892 ∧ x5 = _x2893 ∧ x6 = _x2894 ∧ x7 = _x2895 ∧ x8 = _x2896 ∧ x9 = _x2897 ∧ x10 = _x2898 ∧ x11 = _x2899 ∧ x12 = _x2900 ∧ x13 = _x2901 ∧ x14 = _x2902 ∧ x15 = _x2903 ∧ x16 = _x2904 ∧ x17 = _x2905 ∧ x18 = _x2906 ∧ x19 = _x2907 ∧ x20 = _x2908 ∧ x21 = _x2909 ∧ x22 = _x2910 ∧ x23 = _x2911 ∧ x24 = _x2912 ∧ x25 = _x2913 ∧ x26 = _x2914 ∧ x27 = _x2915 ∧ _x2888 = _x2915 ∧ _x2887 = _x2914 ∧ _x2886 = _x2913 ∧ _x2885 = _x2912 ∧ _x2884 = _x2911 ∧ _x2883 = _x2910 ∧ _x2882 = _x2909 ∧ _x2881 = _x2908 ∧ _x2880 = _x2907 ∧ _x2878 = _x2905 ∧ _x2877 = _x2904 ∧ _x2879 = _x2906 ∧ _x2876 = _x2903 ∧ _x2875 = _x2902 ∧ _x2874 = _x2901 ∧ _x2873 = _x2900 ∧ _x2872 = _x2899 ∧ _x2871 = _x2898 ∧ _x2870 = _x2897 ∧ _x2869 = _x2896 ∧ _x2868 = _x2895 ∧ _x2867 = _x2894 ∧ _x2866 = _x2893 ∧ _x2864 = _x2891 ∧ _x2863 = _x2890 ∧ _x2862 = _x2889 ∧ _x2892 = 1 + _x2865 ∧ 1 + _x2869 ≤ _x2866 l36 56 l22: x1 = _x2916 ∧ x2 = _x2917 ∧ x3 = _x2918 ∧ x4 = _x2919 ∧ x5 = _x2920 ∧ x6 = _x2921 ∧ x7 = _x2922 ∧ x8 = _x2923 ∧ x9 = _x2924 ∧ x10 = _x2925 ∧ x11 = _x2926 ∧ x12 = _x2927 ∧ x13 = _x2928 ∧ x14 = _x2929 ∧ x15 = _x2930 ∧ x16 = _x2931 ∧ x17 = _x2932 ∧ x18 = _x2933 ∧ x19 = _x2934 ∧ x20 = _x2935 ∧ x21 = _x2936 ∧ x22 = _x2937 ∧ x23 = _x2938 ∧ x24 = _x2939 ∧ x25 = _x2940 ∧ x26 = _x2941 ∧ x27 = _x2942 ∧ x1 = _x2943 ∧ x2 = _x2944 ∧ x3 = _x2945 ∧ x4 = _x2946 ∧ x5 = _x2947 ∧ x6 = _x2948 ∧ x7 = _x2949 ∧ x8 = _x2950 ∧ x9 = _x2951 ∧ x10 = _x2952 ∧ x11 = _x2953 ∧ x12 = _x2954 ∧ x13 = _x2955 ∧ x14 = _x2956 ∧ x15 = _x2957 ∧ x16 = _x2958 ∧ x17 = _x2959 ∧ x18 = _x2960 ∧ x19 = _x2961 ∧ x20 = _x2962 ∧ x21 = _x2963 ∧ x22 = _x2964 ∧ x23 = _x2965 ∧ x24 = _x2966 ∧ x25 = _x2967 ∧ x26 = _x2968 ∧ x27 = _x2969 ∧ _x2942 = _x2969 ∧ _x2941 = _x2968 ∧ _x2940 = _x2967 ∧ _x2939 = _x2966 ∧ _x2938 = _x2965 ∧ _x2937 = _x2964 ∧ _x2936 = _x2963 ∧ _x2935 = _x2962 ∧ _x2934 = _x2961 ∧ _x2932 = _x2959 ∧ _x2931 = _x2958 ∧ _x2933 = _x2960 ∧ _x2930 = _x2957 ∧ _x2929 = _x2956 ∧ _x2928 = _x2955 ∧ _x2927 = _x2954 ∧ _x2926 = _x2953 ∧ _x2925 = _x2952 ∧ _x2924 = _x2951 ∧ _x2923 = _x2950 ∧ _x2922 = _x2949 ∧ _x2921 = _x2948 ∧ _x2919 = _x2946 ∧ _x2918 = _x2945 ∧ _x2917 = _x2944 ∧ _x2916 = _x2943 ∧ _x2947 = 1 + _x2920 ∧ _x2920 ≤ _x2923 l22 57 l36: x1 = _x2970 ∧ x2 = _x2971 ∧ x3 = _x2972 ∧ x4 = _x2973 ∧ x5 = _x2974 ∧ x6 = _x2975 ∧ x7 = _x2976 ∧ x8 = _x2977 ∧ x9 = _x2978 ∧ x10 = _x2979 ∧ x11 = _x2980 ∧ x12 = _x2981 ∧ x13 = _x2982 ∧ x14 = _x2983 ∧ x15 = _x2984 ∧ x16 = _x2985 ∧ x17 = _x2986 ∧ x18 = _x2987 ∧ x19 = _x2988 ∧ x20 = _x2989 ∧ x21 = _x2990 ∧ x22 = _x2991 ∧ x23 = _x2992 ∧ x24 = _x2993 ∧ x25 = _x2994 ∧ x26 = _x2995 ∧ x27 = _x2996 ∧ x1 = _x2997 ∧ x2 = _x2998 ∧ x3 = _x2999 ∧ x4 = _x3000 ∧ x5 = _x3001 ∧ x6 = _x3002 ∧ x7 = _x3003 ∧ x8 = _x3004 ∧ x9 = _x3005 ∧ x10 = _x3006 ∧ x11 = _x3007 ∧ x12 = _x3008 ∧ x13 = _x3009 ∧ x14 = _x3010 ∧ x15 = _x3011 ∧ x16 = _x3012 ∧ x17 = _x3013 ∧ x18 = _x3014 ∧ x19 = _x3015 ∧ x20 = _x3016 ∧ x21 = _x3017 ∧ x22 = _x3018 ∧ x23 = _x3019 ∧ x24 = _x3020 ∧ x25 = _x3021 ∧ x26 = _x3022 ∧ x27 = _x3023 ∧ _x2996 = _x3023 ∧ _x2995 = _x3022 ∧ _x2994 = _x3021 ∧ _x2993 = _x3020 ∧ _x2992 = _x3019 ∧ _x2991 = _x3018 ∧ _x2990 = _x3017 ∧ _x2989 = _x3016 ∧ _x2988 = _x3015 ∧ _x2986 = _x3013 ∧ _x2985 = _x3012 ∧ _x2987 = _x3014 ∧ _x2984 = _x3011 ∧ _x2983 = _x3010 ∧ _x2982 = _x3009 ∧ _x2981 = _x3008 ∧ _x2980 = _x3007 ∧ _x2979 = _x3006 ∧ _x2978 = _x3005 ∧ _x2977 = _x3004 ∧ _x2976 = _x3003 ∧ _x2975 = _x3002 ∧ _x2974 = _x3001 ∧ _x2973 = _x3000 ∧ _x2972 = _x2999 ∧ _x2971 = _x2998 ∧ _x2970 = _x2997 l37 58 l11: x1 = _x3024 ∧ x2 = _x3025 ∧ x3 = _x3026 ∧ x4 = _x3027 ∧ x5 = _x3028 ∧ x6 = _x3029 ∧ x7 = _x3030 ∧ x8 = _x3031 ∧ x9 = _x3032 ∧ x10 = _x3033 ∧ x11 = _x3034 ∧ x12 = _x3035 ∧ x13 = _x3036 ∧ x14 = _x3037 ∧ x15 = _x3038 ∧ x16 = _x3039 ∧ x17 = _x3040 ∧ x18 = _x3041 ∧ x19 = _x3042 ∧ x20 = _x3043 ∧ x21 = _x3044 ∧ x22 = _x3045 ∧ x23 = _x3046 ∧ x24 = _x3047 ∧ x25 = _x3048 ∧ x26 = _x3049 ∧ x27 = _x3050 ∧ x1 = _x3051 ∧ x2 = _x3052 ∧ x3 = _x3053 ∧ x4 = _x3054 ∧ x5 = _x3055 ∧ x6 = _x3056 ∧ x7 = _x3057 ∧ x8 = _x3058 ∧ x9 = _x3059 ∧ x10 = _x3060 ∧ x11 = _x3061 ∧ x12 = _x3062 ∧ x13 = _x3063 ∧ x14 = _x3064 ∧ x15 = _x3065 ∧ x16 = _x3066 ∧ x17 = _x3067 ∧ x18 = _x3068 ∧ x19 = _x3069 ∧ x20 = _x3070 ∧ x21 = _x3071 ∧ x22 = _x3072 ∧ x23 = _x3073 ∧ x24 = _x3074 ∧ x25 = _x3075 ∧ x26 = _x3076 ∧ x27 = _x3077 ∧ _x3050 = _x3077 ∧ _x3049 = _x3076 ∧ _x3048 = _x3075 ∧ _x3047 = _x3074 ∧ _x3046 = _x3073 ∧ _x3045 = _x3072 ∧ _x3044 = _x3071 ∧ _x3043 = _x3070 ∧ _x3042 = _x3069 ∧ _x3040 = _x3067 ∧ _x3039 = _x3066 ∧ _x3041 = _x3068 ∧ _x3038 = _x3065 ∧ _x3037 = _x3064 ∧ _x3036 = _x3063 ∧ _x3035 = _x3062 ∧ _x3034 = _x3061 ∧ _x3033 = _x3060 ∧ _x3032 = _x3059 ∧ _x3031 = _x3058 ∧ _x3030 = _x3057 ∧ _x3029 = _x3056 ∧ _x3028 = _x3055 ∧ _x3027 = _x3054 ∧ _x3026 = _x3053 ∧ _x3025 = _x3052 ∧ _x3024 = _x3051 ∧ 1 + _x3031 ≤ _x3030 l37 59 l38: x1 = _x3078 ∧ x2 = _x3079 ∧ x3 = _x3080 ∧ x4 = _x3081 ∧ x5 = _x3082 ∧ x6 = _x3083 ∧ x7 = _x3084 ∧ x8 = _x3085 ∧ x9 = _x3086 ∧ x10 = _x3087 ∧ x11 = _x3088 ∧ x12 = _x3089 ∧ x13 = _x3090 ∧ x14 = _x3091 ∧ x15 = _x3092 ∧ x16 = _x3093 ∧ x17 = _x3094 ∧ x18 = _x3095 ∧ x19 = _x3096 ∧ x20 = _x3097 ∧ x21 = _x3098 ∧ x22 = _x3099 ∧ x23 = _x3100 ∧ x24 = _x3101 ∧ x25 = _x3102 ∧ x26 = _x3103 ∧ x27 = _x3104 ∧ x1 = _x3105 ∧ x2 = _x3106 ∧ x3 = _x3107 ∧ x4 = _x3108 ∧ x5 = _x3109 ∧ x6 = _x3110 ∧ x7 = _x3111 ∧ x8 = _x3112 ∧ x9 = _x3113 ∧ x10 = _x3114 ∧ x11 = _x3115 ∧ x12 = _x3116 ∧ x13 = _x3117 ∧ x14 = _x3118 ∧ x15 = _x3119 ∧ x16 = _x3120 ∧ x17 = _x3121 ∧ x18 = _x3122 ∧ x19 = _x3123 ∧ x20 = _x3124 ∧ x21 = _x3125 ∧ x22 = _x3126 ∧ x23 = _x3127 ∧ x24 = _x3128 ∧ x25 = _x3129 ∧ x26 = _x3130 ∧ x27 = _x3131 ∧ _x3104 = _x3131 ∧ _x3103 = _x3130 ∧ _x3102 = _x3129 ∧ _x3101 = _x3128 ∧ _x3100 = _x3127 ∧ _x3099 = _x3126 ∧ _x3098 = _x3125 ∧ _x3097 = _x3124 ∧ _x3096 = _x3123 ∧ _x3094 = _x3121 ∧ _x3093 = _x3120 ∧ _x3095 = _x3122 ∧ _x3092 = _x3119 ∧ _x3091 = _x3118 ∧ _x3090 = _x3117 ∧ _x3089 = _x3116 ∧ _x3088 = _x3115 ∧ _x3087 = _x3114 ∧ _x3086 = _x3113 ∧ _x3085 = _x3112 ∧ _x3083 = _x3110 ∧ _x3082 = _x3109 ∧ _x3081 = _x3108 ∧ _x3078 = _x3105 ∧ _x3111 = 1 + _x3084 ∧ _x3107 = _x3107 ∧ _x3106 = _x3106 ∧ _x3084 ≤ _x3085 l38 60 l37: x1 = _x3132 ∧ x2 = _x3133 ∧ x3 = _x3134 ∧ x4 = _x3135 ∧ x5 = _x3136 ∧ x6 = _x3137 ∧ x7 = _x3138 ∧ x8 = _x3139 ∧ x9 = _x3140 ∧ x10 = _x3141 ∧ x11 = _x3142 ∧ x12 = _x3143 ∧ x13 = _x3144 ∧ x14 = _x3145 ∧ x15 = _x3146 ∧ x16 = _x3147 ∧ x17 = _x3148 ∧ x18 = _x3149 ∧ x19 = _x3150 ∧ x20 = _x3151 ∧ x21 = _x3152 ∧ x22 = _x3153 ∧ x23 = _x3154 ∧ x24 = _x3155 ∧ x25 = _x3156 ∧ x26 = _x3157 ∧ x27 = _x3158 ∧ x1 = _x3159 ∧ x2 = _x3160 ∧ x3 = _x3161 ∧ x4 = _x3162 ∧ x5 = _x3163 ∧ x6 = _x3164 ∧ x7 = _x3165 ∧ x8 = _x3166 ∧ x9 = _x3167 ∧ x10 = _x3168 ∧ x11 = _x3169 ∧ x12 = _x3170 ∧ x13 = _x3171 ∧ x14 = _x3172 ∧ x15 = _x3173 ∧ x16 = _x3174 ∧ x17 = _x3175 ∧ x18 = _x3176 ∧ x19 = _x3177 ∧ x20 = _x3178 ∧ x21 = _x3179 ∧ x22 = _x3180 ∧ x23 = _x3181 ∧ x24 = _x3182 ∧ x25 = _x3183 ∧ x26 = _x3184 ∧ x27 = _x3185 ∧ _x3158 = _x3185 ∧ _x3157 = _x3184 ∧ _x3156 = _x3183 ∧ _x3155 = _x3182 ∧ _x3154 = _x3181 ∧ _x3153 = _x3180 ∧ _x3152 = _x3179 ∧ _x3151 = _x3178 ∧ _x3150 = _x3177 ∧ _x3148 = _x3175 ∧ _x3147 = _x3174 ∧ _x3149 = _x3176 ∧ _x3146 = _x3173 ∧ _x3145 = _x3172 ∧ _x3144 = _x3171 ∧ _x3143 = _x3170 ∧ _x3142 = _x3169 ∧ _x3141 = _x3168 ∧ _x3140 = _x3167 ∧ _x3139 = _x3166 ∧ _x3138 = _x3165 ∧ _x3137 = _x3164 ∧ _x3136 = _x3163 ∧ _x3135 = _x3162 ∧ _x3134 = _x3161 ∧ _x3133 = _x3160 ∧ _x3132 = _x3159 l39 61 l38: x1 = _x3186 ∧ x2 = _x3187 ∧ x3 = _x3188 ∧ x4 = _x3189 ∧ x5 = _x3190 ∧ x6 = _x3191 ∧ x7 = _x3192 ∧ x8 = _x3193 ∧ x9 = _x3194 ∧ x10 = _x3195 ∧ x11 = _x3196 ∧ x12 = _x3197 ∧ x13 = _x3198 ∧ x14 = _x3199 ∧ x15 = _x3200 ∧ x16 = _x3201 ∧ x17 = _x3202 ∧ x18 = _x3203 ∧ x19 = _x3204 ∧ x20 = _x3205 ∧ x21 = _x3206 ∧ x22 = _x3207 ∧ x23 = _x3208 ∧ x24 = _x3209 ∧ x25 = _x3210 ∧ x26 = _x3211 ∧ x27 = _x3212 ∧ x1 = _x3213 ∧ x2 = _x3214 ∧ x3 = _x3215 ∧ x4 = _x3216 ∧ x5 = _x3217 ∧ x6 = _x3218 ∧ x7 = _x3219 ∧ x8 = _x3220 ∧ x9 = _x3221 ∧ x10 = _x3222 ∧ x11 = _x3223 ∧ x12 = _x3224 ∧ x13 = _x3225 ∧ x14 = _x3226 ∧ x15 = _x3227 ∧ x16 = _x3228 ∧ x17 = _x3229 ∧ x18 = _x3230 ∧ x19 = _x3231 ∧ x20 = _x3232 ∧ x21 = _x3233 ∧ x22 = _x3234 ∧ x23 = _x3235 ∧ x24 = _x3236 ∧ x25 = _x3237 ∧ x26 = _x3238 ∧ x27 = _x3239 ∧ _x3212 = _x3239 ∧ _x3211 = _x3238 ∧ _x3210 = _x3237 ∧ _x3209 = _x3236 ∧ _x3208 = _x3235 ∧ _x3207 = _x3234 ∧ _x3206 = _x3233 ∧ _x3205 = _x3232 ∧ _x3204 = _x3231 ∧ _x3202 = _x3229 ∧ _x3201 = _x3228 ∧ _x3203 = _x3230 ∧ _x3200 = _x3227 ∧ _x3199 = _x3226 ∧ _x3198 = _x3225 ∧ _x3197 = _x3224 ∧ _x3196 = _x3223 ∧ _x3195 = _x3222 ∧ _x3194 = _x3221 ∧ _x3193 = _x3220 ∧ _x3192 = _x3219 ∧ _x3191 = _x3218 ∧ _x3190 = _x3217 ∧ _x3189 = _x3216 ∧ _x3188 = _x3215 ∧ _x3187 = _x3214 ∧ _x3186 = _x3213 ∧ 1 + _x3193 ≤ _x3192 l39 62 l40: x1 = _x3240 ∧ x2 = _x3241 ∧ x3 = _x3242 ∧ x4 = _x3243 ∧ x5 = _x3244 ∧ x6 = _x3245 ∧ x7 = _x3246 ∧ x8 = _x3247 ∧ x9 = _x3248 ∧ x10 = _x3249 ∧ x11 = _x3250 ∧ x12 = _x3251 ∧ x13 = _x3252 ∧ x14 = _x3253 ∧ x15 = _x3254 ∧ x16 = _x3255 ∧ x17 = _x3256 ∧ x18 = _x3257 ∧ x19 = _x3258 ∧ x20 = _x3259 ∧ x21 = _x3260 ∧ x22 = _x3261 ∧ x23 = _x3262 ∧ x24 = _x3263 ∧ x25 = _x3264 ∧ x26 = _x3265 ∧ x27 = _x3266 ∧ x1 = _x3267 ∧ x2 = _x3268 ∧ x3 = _x3269 ∧ x4 = _x3270 ∧ x5 = _x3271 ∧ x6 = _x3272 ∧ x7 = _x3273 ∧ x8 = _x3274 ∧ x9 = _x3275 ∧ x10 = _x3276 ∧ x11 = _x3277 ∧ x12 = _x3278 ∧ x13 = _x3279 ∧ x14 = _x3280 ∧ x15 = _x3281 ∧ x16 = _x3282 ∧ x17 = _x3283 ∧ x18 = _x3284 ∧ x19 = _x3285 ∧ x20 = _x3286 ∧ x21 = _x3287 ∧ x22 = _x3288 ∧ x23 = _x3289 ∧ x24 = _x3290 ∧ x25 = _x3291 ∧ x26 = _x3292 ∧ x27 = _x3293 ∧ _x3266 = _x3293 ∧ _x3265 = _x3292 ∧ _x3264 = _x3291 ∧ _x3263 = _x3290 ∧ _x3262 = _x3289 ∧ _x3261 = _x3288 ∧ _x3260 = _x3287 ∧ _x3259 = _x3286 ∧ _x3258 = _x3285 ∧ _x3256 = _x3283 ∧ _x3255 = _x3282 ∧ _x3257 = _x3284 ∧ _x3254 = _x3281 ∧ _x3253 = _x3280 ∧ _x3252 = _x3279 ∧ _x3251 = _x3278 ∧ _x3250 = _x3277 ∧ _x3249 = _x3276 ∧ _x3248 = _x3275 ∧ _x3247 = _x3274 ∧ _x3245 = _x3272 ∧ _x3244 = _x3271 ∧ _x3243 = _x3270 ∧ _x3240 = _x3267 ∧ _x3273 = 1 + _x3246 ∧ _x3269 = _x3269 ∧ _x3268 = _x3268 ∧ _x3246 ≤ _x3247 l40 63 l39: x1 = _x3294 ∧ x2 = _x3295 ∧ x3 = _x3296 ∧ x4 = _x3297 ∧ x5 = _x3298 ∧ x6 = _x3299 ∧ x7 = _x3300 ∧ x8 = _x3301 ∧ x9 = _x3302 ∧ x10 = _x3303 ∧ x11 = _x3304 ∧ x12 = _x3305 ∧ x13 = _x3306 ∧ x14 = _x3307 ∧ x15 = _x3308 ∧ x16 = _x3309 ∧ x17 = _x3310 ∧ x18 = _x3311 ∧ x19 = _x3312 ∧ x20 = _x3313 ∧ x21 = _x3314 ∧ x22 = _x3315 ∧ x23 = _x3316 ∧ x24 = _x3317 ∧ x25 = _x3318 ∧ x26 = _x3319 ∧ x27 = _x3320 ∧ x1 = _x3321 ∧ x2 = _x3322 ∧ x3 = _x3323 ∧ x4 = _x3324 ∧ x5 = _x3325 ∧ x6 = _x3326 ∧ x7 = _x3327 ∧ x8 = _x3328 ∧ x9 = _x3329 ∧ x10 = _x3330 ∧ x11 = _x3331 ∧ x12 = _x3332 ∧ x13 = _x3333 ∧ x14 = _x3334 ∧ x15 = _x3335 ∧ x16 = _x3336 ∧ x17 = _x3337 ∧ x18 = _x3338 ∧ x19 = _x3339 ∧ x20 = _x3340 ∧ x21 = _x3341 ∧ x22 = _x3342 ∧ x23 = _x3343 ∧ x24 = _x3344 ∧ x25 = _x3345 ∧ x26 = _x3346 ∧ x27 = _x3347 ∧ _x3320 = _x3347 ∧ _x3319 = _x3346 ∧ _x3318 = _x3345 ∧ _x3317 = _x3344 ∧ _x3316 = _x3343 ∧ _x3315 = _x3342 ∧ _x3314 = _x3341 ∧ _x3313 = _x3340 ∧ _x3312 = _x3339 ∧ _x3310 = _x3337 ∧ _x3309 = _x3336 ∧ _x3311 = _x3338 ∧ _x3308 = _x3335 ∧ _x3307 = _x3334 ∧ _x3306 = _x3333 ∧ _x3305 = _x3332 ∧ _x3304 = _x3331 ∧ _x3303 = _x3330 ∧ _x3302 = _x3329 ∧ _x3301 = _x3328 ∧ _x3300 = _x3327 ∧ _x3299 = _x3326 ∧ _x3298 = _x3325 ∧ _x3297 = _x3324 ∧ _x3296 = _x3323 ∧ _x3295 = _x3322 ∧ _x3294 = _x3321 l41 64 l40: x1 = _x3348 ∧ x2 = _x3349 ∧ x3 = _x3350 ∧ x4 = _x3351 ∧ x5 = _x3352 ∧ x6 = _x3353 ∧ x7 = _x3354 ∧ x8 = _x3355 ∧ x9 = _x3356 ∧ x10 = _x3357 ∧ x11 = _x3358 ∧ x12 = _x3359 ∧ x13 = _x3360 ∧ x14 = _x3361 ∧ x15 = _x3362 ∧ x16 = _x3363 ∧ x17 = _x3364 ∧ x18 = _x3365 ∧ x19 = _x3366 ∧ x20 = _x3367 ∧ x21 = _x3368 ∧ x22 = _x3369 ∧ x23 = _x3370 ∧ x24 = _x3371 ∧ x25 = _x3372 ∧ x26 = _x3373 ∧ x27 = _x3374 ∧ x1 = _x3375 ∧ x2 = _x3376 ∧ x3 = _x3377 ∧ x4 = _x3378 ∧ x5 = _x3379 ∧ x6 = _x3380 ∧ x7 = _x3381 ∧ x8 = _x3382 ∧ x9 = _x3383 ∧ x10 = _x3384 ∧ x11 = _x3385 ∧ x12 = _x3386 ∧ x13 = _x3387 ∧ x14 = _x3388 ∧ x15 = _x3389 ∧ x16 = _x3390 ∧ x17 = _x3391 ∧ x18 = _x3392 ∧ x19 = _x3393 ∧ x20 = _x3394 ∧ x21 = _x3395 ∧ x22 = _x3396 ∧ x23 = _x3397 ∧ x24 = _x3398 ∧ x25 = _x3399 ∧ x26 = _x3400 ∧ x27 = _x3401 ∧ _x3374 = _x3401 ∧ _x3373 = _x3400 ∧ _x3372 = _x3399 ∧ _x3371 = _x3398 ∧ _x3370 = _x3397 ∧ _x3369 = _x3396 ∧ _x3368 = _x3395 ∧ _x3367 = _x3394 ∧ _x3366 = _x3393 ∧ _x3364 = _x3391 ∧ _x3363 = _x3390 ∧ _x3365 = _x3392 ∧ _x3362 = _x3389 ∧ _x3361 = _x3388 ∧ _x3360 = _x3387 ∧ _x3359 = _x3386 ∧ _x3358 = _x3385 ∧ _x3357 = _x3384 ∧ _x3356 = _x3383 ∧ _x3355 = _x3382 ∧ _x3354 = _x3381 ∧ _x3353 = _x3380 ∧ _x3352 = _x3379 ∧ _x3351 = _x3378 ∧ _x3350 = _x3377 ∧ _x3349 = _x3376 ∧ _x3348 = _x3375 ∧ _x3353 ≤ _x3354 l41 65 l1: x1 = _x3402 ∧ x2 = _x3403 ∧ x3 = _x3404 ∧ x4 = _x3405 ∧ x5 = _x3406 ∧ x6 = _x3407 ∧ x7 = _x3408 ∧ x8 = _x3409 ∧ x9 = _x3410 ∧ x10 = _x3411 ∧ x11 = _x3412 ∧ x12 = _x3413 ∧ x13 = _x3414 ∧ x14 = _x3415 ∧ x15 = _x3416 ∧ x16 = _x3417 ∧ x17 = _x3418 ∧ x18 = _x3419 ∧ x19 = _x3420 ∧ x20 = _x3421 ∧ x21 = _x3422 ∧ x22 = _x3423 ∧ x23 = _x3424 ∧ x24 = _x3425 ∧ x25 = _x3426 ∧ x26 = _x3427 ∧ x27 = _x3428 ∧ x1 = _x3429 ∧ x2 = _x3430 ∧ x3 = _x3431 ∧ x4 = _x3432 ∧ x5 = _x3433 ∧ x6 = _x3434 ∧ x7 = _x3435 ∧ x8 = _x3436 ∧ x9 = _x3437 ∧ x10 = _x3438 ∧ x11 = _x3439 ∧ x12 = _x3440 ∧ x13 = _x3441 ∧ x14 = _x3442 ∧ x15 = _x3443 ∧ x16 = _x3444 ∧ x17 = _x3445 ∧ x18 = _x3446 ∧ x19 = _x3447 ∧ x20 = _x3448 ∧ x21 = _x3449 ∧ x22 = _x3450 ∧ x23 = _x3451 ∧ x24 = _x3452 ∧ x25 = _x3453 ∧ x26 = _x3454 ∧ x27 = _x3455 ∧ _x3428 = _x3455 ∧ _x3427 = _x3454 ∧ _x3426 = _x3453 ∧ _x3425 = _x3452 ∧ _x3424 = _x3451 ∧ _x3423 = _x3450 ∧ _x3422 = _x3449 ∧ _x3421 = _x3448 ∧ _x3420 = _x3447 ∧ _x3418 = _x3445 ∧ _x3417 = _x3444 ∧ _x3419 = _x3446 ∧ _x3416 = _x3443 ∧ _x3415 = _x3442 ∧ _x3414 = _x3441 ∧ _x3413 = _x3440 ∧ _x3412 = _x3439 ∧ _x3411 = _x3438 ∧ _x3410 = _x3437 ∧ _x3409 = _x3436 ∧ _x3407 = _x3434 ∧ _x3406 = _x3433 ∧ _x3405 = _x3432 ∧ _x3402 = _x3429 ∧ _x3435 = 1 + _x3408 ∧ _x3431 = _x3431 ∧ _x3430 = _x3430 ∧ _x3408 ≤ −1 + _x3407 l1 66 l41: x1 = _x3456 ∧ x2 = _x3457 ∧ x3 = _x3458 ∧ x4 = _x3459 ∧ x5 = _x3460 ∧ x6 = _x3461 ∧ x7 = _x3462 ∧ x8 = _x3463 ∧ x9 = _x3464 ∧ x10 = _x3465 ∧ x11 = _x3466 ∧ x12 = _x3467 ∧ x13 = _x3468 ∧ x14 = _x3469 ∧ x15 = _x3470 ∧ x16 = _x3471 ∧ x17 = _x3472 ∧ x18 = _x3473 ∧ x19 = _x3474 ∧ x20 = _x3475 ∧ x21 = _x3476 ∧ x22 = _x3477 ∧ x23 = _x3478 ∧ x24 = _x3479 ∧ x25 = _x3480 ∧ x26 = _x3481 ∧ x27 = _x3482 ∧ x1 = _x3483 ∧ x2 = _x3484 ∧ x3 = _x3485 ∧ x4 = _x3486 ∧ x5 = _x3487 ∧ x6 = _x3488 ∧ x7 = _x3489 ∧ x8 = _x3490 ∧ x9 = _x3491 ∧ x10 = _x3492 ∧ x11 = _x3493 ∧ x12 = _x3494 ∧ x13 = _x3495 ∧ x14 = _x3496 ∧ x15 = _x3497 ∧ x16 = _x3498 ∧ x17 = _x3499 ∧ x18 = _x3500 ∧ x19 = _x3501 ∧ x20 = _x3502 ∧ x21 = _x3503 ∧ x22 = _x3504 ∧ x23 = _x3505 ∧ x24 = _x3506 ∧ x25 = _x3507 ∧ x26 = _x3508 ∧ x27 = _x3509 ∧ _x3482 = _x3509 ∧ _x3481 = _x3508 ∧ _x3480 = _x3507 ∧ _x3479 = _x3506 ∧ _x3478 = _x3505 ∧ _x3477 = _x3504 ∧ _x3476 = _x3503 ∧ _x3475 = _x3502 ∧ _x3474 = _x3501 ∧ _x3472 = _x3499 ∧ _x3471 = _x3498 ∧ _x3473 = _x3500 ∧ _x3470 = _x3497 ∧ _x3469 = _x3496 ∧ _x3468 = _x3495 ∧ _x3467 = _x3494 ∧ _x3466 = _x3493 ∧ _x3465 = _x3492 ∧ _x3464 = _x3491 ∧ _x3463 = _x3490 ∧ _x3462 = _x3489 ∧ _x3461 = _x3488 ∧ _x3460 = _x3487 ∧ _x3459 = _x3486 ∧ _x3458 = _x3485 ∧ _x3457 = _x3484 ∧ _x3456 = _x3483 l42 67 l34: x1 = _x3510 ∧ x2 = _x3511 ∧ x3 = _x3512 ∧ x4 = _x3513 ∧ x5 = _x3514 ∧ x6 = _x3515 ∧ x7 = _x3516 ∧ x8 = _x3517 ∧ x9 = _x3518 ∧ x10 = _x3519 ∧ x11 = _x3520 ∧ x12 = _x3521 ∧ x13 = _x3522 ∧ x14 = _x3523 ∧ x15 = _x3524 ∧ x16 = _x3525 ∧ x17 = _x3526 ∧ x18 = _x3527 ∧ x19 = _x3528 ∧ x20 = _x3529 ∧ x21 = _x3530 ∧ x22 = _x3531 ∧ x23 = _x3532 ∧ x24 = _x3533 ∧ x25 = _x3534 ∧ x26 = _x3535 ∧ x27 = _x3536 ∧ x1 = _x3537 ∧ x2 = _x3538 ∧ x3 = _x3539 ∧ x4 = _x3540 ∧ x5 = _x3541 ∧ x6 = _x3542 ∧ x7 = _x3543 ∧ x8 = _x3544 ∧ x9 = _x3545 ∧ x10 = _x3546 ∧ x11 = _x3547 ∧ x12 = _x3548 ∧ x13 = _x3549 ∧ x14 = _x3550 ∧ x15 = _x3551 ∧ x16 = _x3552 ∧ x17 = _x3553 ∧ x18 = _x3554 ∧ x19 = _x3555 ∧ x20 = _x3556 ∧ x21 = _x3557 ∧ x22 = _x3558 ∧ x23 = _x3559 ∧ x24 = _x3560 ∧ x25 = _x3561 ∧ x26 = _x3562 ∧ x27 = _x3563 ∧ _x3536 = _x3563 ∧ _x3535 = _x3562 ∧ _x3534 = _x3561 ∧ _x3533 = _x3560 ∧ _x3532 = _x3559 ∧ _x3531 = _x3558 ∧ _x3530 = _x3557 ∧ _x3529 = _x3556 ∧ _x3528 = _x3555 ∧ _x3526 = _x3553 ∧ _x3525 = _x3552 ∧ _x3527 = _x3554 ∧ _x3524 = _x3551 ∧ _x3523 = _x3550 ∧ _x3522 = _x3549 ∧ _x3521 = _x3548 ∧ _x3520 = _x3547 ∧ _x3519 = _x3546 ∧ _x3518 = _x3545 ∧ _x3517 = _x3544 ∧ _x3516 = _x3543 ∧ _x3515 = _x3542 ∧ _x3514 = _x3541 ∧ _x3513 = _x3540 ∧ _x3512 = _x3539 ∧ _x3511 = _x3538 ∧ _x3510 = _x3537

## Proof

### 1 Switch to Cooperation Termination Proof

We consider the following cutpoint-transitions:
 l5 l5 l5: x1 = x1 ∧ x2 = x2 ∧ x3 = x3 ∧ x4 = x4 ∧ x5 = x5 ∧ x6 = x6 ∧ x7 = x7 ∧ x8 = x8 ∧ x9 = x9 ∧ x10 = x10 ∧ x11 = x11 ∧ x12 = x12 ∧ x13 = x13 ∧ x14 = x14 ∧ x15 = x15 ∧ x16 = x16 ∧ x17 = x17 ∧ x18 = x18 ∧ x19 = x19 ∧ x20 = x20 ∧ x21 = x21 ∧ x22 = x22 ∧ x23 = x23 ∧ x24 = x24 ∧ x25 = x25 ∧ x26 = x26 ∧ x27 = x27 l22 l22 l22: x1 = x1 ∧ x2 = x2 ∧ x3 = x3 ∧ x4 = x4 ∧ x5 = x5 ∧ x6 = x6 ∧ x7 = x7 ∧ x8 = x8 ∧ x9 = x9 ∧ x10 = x10 ∧ x11 = x11 ∧ x12 = x12 ∧ x13 = x13 ∧ x14 = x14 ∧ x15 = x15 ∧ x16 = x16 ∧ x17 = x17 ∧ x18 = x18 ∧ x19 = x19 ∧ x20 = x20 ∧ x21 = x21 ∧ x22 = x22 ∧ x23 = x23 ∧ x24 = x24 ∧ x25 = x25 ∧ x26 = x26 ∧ x27 = x27 l39 l39 l39: x1 = x1 ∧ x2 = x2 ∧ x3 = x3 ∧ x4 = x4 ∧ x5 = x5 ∧ x6 = x6 ∧ x7 = x7 ∧ x8 = x8 ∧ x9 = x9 ∧ x10 = x10 ∧ x11 = x11 ∧ x12 = x12 ∧ x13 = x13 ∧ x14 = x14 ∧ x15 = x15 ∧ x16 = x16 ∧ x17 = x17 ∧ x18 = x18 ∧ x19 = x19 ∧ x20 = x20 ∧ x21 = x21 ∧ x22 = x22 ∧ x23 = x23 ∧ x24 = x24 ∧ x25 = x25 ∧ x26 = x26 ∧ x27 = x27 l1 l1 l1: x1 = x1 ∧ x2 = x2 ∧ x3 = x3 ∧ x4 = x4 ∧ x5 = x5 ∧ x6 = x6 ∧ x7 = x7 ∧ x8 = x8 ∧ x9 = x9 ∧ x10 = x10 ∧ x11 = x11 ∧ x12 = x12 ∧ x13 = x13 ∧ x14 = x14 ∧ x15 = x15 ∧ x16 = x16 ∧ x17 = x17 ∧ x18 = x18 ∧ x19 = x19 ∧ x20 = x20 ∧ x21 = x21 ∧ x22 = x22 ∧ x23 = x23 ∧ x24 = x24 ∧ x25 = x25 ∧ x26 = x26 ∧ x27 = x27 l13 l13 l13: x1 = x1 ∧ x2 = x2 ∧ x3 = x3 ∧ x4 = x4 ∧ x5 = x5 ∧ x6 = x6 ∧ x7 = x7 ∧ x8 = x8 ∧ x9 = x9 ∧ x10 = x10 ∧ x11 = x11 ∧ x12 = x12 ∧ x13 = x13 ∧ x14 = x14 ∧ x15 = x15 ∧ x16 = x16 ∧ x17 = x17 ∧ x18 = x18 ∧ x19 = x19 ∧ x20 = x20 ∧ x21 = x21 ∧ x22 = x22 ∧ x23 = x23 ∧ x24 = x24 ∧ x25 = x25 ∧ x26 = x26 ∧ x27 = x27 l31 l31 l31: x1 = x1 ∧ x2 = x2 ∧ x3 = x3 ∧ x4 = x4 ∧ x5 = x5 ∧ x6 = x6 ∧ x7 = x7 ∧ x8 = x8 ∧ x9 = x9 ∧ x10 = x10 ∧ x11 = x11 ∧ x12 = x12 ∧ x13 = x13 ∧ x14 = x14 ∧ x15 = x15 ∧ x16 = x16 ∧ x17 = x17 ∧ x18 = x18 ∧ x19 = x19 ∧ x20 = x20 ∧ x21 = x21 ∧ x22 = x22 ∧ x23 = x23 ∧ x24 = x24 ∧ x25 = x25 ∧ x26 = x26 ∧ x27 = x27 l18 l18 l18: x1 = x1 ∧ x2 = x2 ∧ x3 = x3 ∧ x4 = x4 ∧ x5 = x5 ∧ x6 = x6 ∧ x7 = x7 ∧ x8 = x8 ∧ x9 = x9 ∧ x10 = x10 ∧ x11 = x11 ∧ x12 = x12 ∧ x13 = x13 ∧ x14 = x14 ∧ x15 = x15 ∧ x16 = x16 ∧ x17 = x17 ∧ x18 = x18 ∧ x19 = x19 ∧ x20 = x20 ∧ x21 = x21 ∧ x22 = x22 ∧ x23 = x23 ∧ x24 = x24 ∧ x25 = x25 ∧ x26 = x26 ∧ x27 = x27 l17 l17 l17: x1 = x1 ∧ x2 = x2 ∧ x3 = x3 ∧ x4 = x4 ∧ x5 = x5 ∧ x6 = x6 ∧ x7 = x7 ∧ x8 = x8 ∧ x9 = x9 ∧ x10 = x10 ∧ x11 = x11 ∧ x12 = x12 ∧ x13 = x13 ∧ x14 = x14 ∧ x15 = x15 ∧ x16 = x16 ∧ x17 = x17 ∧ x18 = x18 ∧ x19 = x19 ∧ x20 = x20 ∧ x21 = x21 ∧ x22 = x22 ∧ x23 = x23 ∧ x24 = x24 ∧ x25 = x25 ∧ x26 = x26 ∧ x27 = x27 l35 l35 l35: x1 = x1 ∧ x2 = x2 ∧ x3 = x3 ∧ x4 = x4 ∧ x5 = x5 ∧ x6 = x6 ∧ x7 = x7 ∧ x8 = x8 ∧ x9 = x9 ∧ x10 = x10 ∧ x11 = x11 ∧ x12 = x12 ∧ x13 = x13 ∧ x14 = x14 ∧ x15 = x15 ∧ x16 = x16 ∧ x17 = x17 ∧ x18 = x18 ∧ x19 = x19 ∧ x20 = x20 ∧ x21 = x21 ∧ x22 = x22 ∧ x23 = x23 ∧ x24 = x24 ∧ x25 = x25 ∧ x26 = x26 ∧ x27 = x27 l21 l21 l21: x1 = x1 ∧ x2 = x2 ∧ x3 = x3 ∧ x4 = x4 ∧ x5 = x5 ∧ x6 = x6 ∧ x7 = x7 ∧ x8 = x8 ∧ x9 = x9 ∧ x10 = x10 ∧ x11 = x11 ∧ x12 = x12 ∧ x13 = x13 ∧ x14 = x14 ∧ x15 = x15 ∧ x16 = x16 ∧ x17 = x17 ∧ x18 = x18 ∧ x19 = x19 ∧ x20 = x20 ∧ x21 = x21 ∧ x22 = x22 ∧ x23 = x23 ∧ x24 = x24 ∧ x25 = x25 ∧ x26 = x26 ∧ x27 = x27 l9 l9 l9: x1 = x1 ∧ x2 = x2 ∧ x3 = x3 ∧ x4 = x4 ∧ x5 = x5 ∧ x6 = x6 ∧ x7 = x7 ∧ x8 = x8 ∧ x9 = x9 ∧ x10 = x10 ∧ x11 = x11 ∧ x12 = x12 ∧ x13 = x13 ∧ x14 = x14 ∧ x15 = x15 ∧ x16 = x16 ∧ x17 = x17 ∧ x18 = x18 ∧ x19 = x19 ∧ x20 = x20 ∧ x21 = x21 ∧ x22 = x22 ∧ x23 = x23 ∧ x24 = x24 ∧ x25 = x25 ∧ x26 = x26 ∧ x27 = x27 l14 l14 l14: x1 = x1 ∧ x2 = x2 ∧ x3 = x3 ∧ x4 = x4 ∧ x5 = x5 ∧ x6 = x6 ∧ x7 = x7 ∧ x8 = x8 ∧ x9 = x9 ∧ x10 = x10 ∧ x11 = x11 ∧ x12 = x12 ∧ x13 = x13 ∧ x14 = x14 ∧ x15 = x15 ∧ x16 = x16 ∧ x17 = x17 ∧ x18 = x18 ∧ x19 = x19 ∧ x20 = x20 ∧ x21 = x21 ∧ x22 = x22 ∧ x23 = x23 ∧ x24 = x24 ∧ x25 = x25 ∧ x26 = x26 ∧ x27 = x27 l25 l25 l25: x1 = x1 ∧ x2 = x2 ∧ x3 = x3 ∧ x4 = x4 ∧ x5 = x5 ∧ x6 = x6 ∧ x7 = x7 ∧ x8 = x8 ∧ x9 = x9 ∧ x10 = x10 ∧ x11 = x11 ∧ x12 = x12 ∧ x13 = x13 ∧ x14 = x14 ∧ x15 = x15 ∧ x16 = x16 ∧ x17 = x17 ∧ x18 = x18 ∧ x19 = x19 ∧ x20 = x20 ∧ x21 = x21 ∧ x22 = x22 ∧ x23 = x23 ∧ x24 = x24 ∧ x25 = x25 ∧ x26 = x26 ∧ x27 = x27 l6 l6 l6: x1 = x1 ∧ x2 = x2 ∧ x3 = x3 ∧ x4 = x4 ∧ x5 = x5 ∧ x6 = x6 ∧ x7 = x7 ∧ x8 = x8 ∧ x9 = x9 ∧ x10 = x10 ∧ x11 = x11 ∧ x12 = x12 ∧ x13 = x13 ∧ x14 = x14 ∧ x15 = x15 ∧ x16 = x16 ∧ x17 = x17 ∧ x18 = x18 ∧ x19 = x19 ∧ x20 = x20 ∧ x21 = x21 ∧ x22 = x22 ∧ x23 = x23 ∧ x24 = x24 ∧ x25 = x25 ∧ x26 = x26 ∧ x27 = x27 l8 l8 l8: x1 = x1 ∧ x2 = x2 ∧ x3 = x3 ∧ x4 = x4 ∧ x5 = x5 ∧ x6 = x6 ∧ x7 = x7 ∧ x8 = x8 ∧ x9 = x9 ∧ x10 = x10 ∧ x11 = x11 ∧ x12 = x12 ∧ x13 = x13 ∧ x14 = x14 ∧ x15 = x15 ∧ x16 = x16 ∧ x17 = x17 ∧ x18 = x18 ∧ x19 = x19 ∧ x20 = x20 ∧ x21 = x21 ∧ x22 = x22 ∧ x23 = x23 ∧ x24 = x24 ∧ x25 = x25 ∧ x26 = x26 ∧ x27 = x27 l34 l34 l34: x1 = x1 ∧ x2 = x2 ∧ x3 = x3 ∧ x4 = x4 ∧ x5 = x5 ∧ x6 = x6 ∧ x7 = x7 ∧ x8 = x8 ∧ x9 = x9 ∧ x10 = x10 ∧ x11 = x11 ∧ x12 = x12 ∧ x13 = x13 ∧ x14 = x14 ∧ x15 = x15 ∧ x16 = x16 ∧ x17 = x17 ∧ x18 = x18 ∧ x19 = x19 ∧ x20 = x20 ∧ x21 = x21 ∧ x22 = x22 ∧ x23 = x23 ∧ x24 = x24 ∧ x25 = x25 ∧ x26 = x26 ∧ x27 = x27 l0 l0 l0: x1 = x1 ∧ x2 = x2 ∧ x3 = x3 ∧ x4 = x4 ∧ x5 = x5 ∧ x6 = x6 ∧ x7 = x7 ∧ x8 = x8 ∧ x9 = x9 ∧ x10 = x10 ∧ x11 = x11 ∧ x12 = x12 ∧ x13 = x13 ∧ x14 = x14 ∧ x15 = x15 ∧ x16 = x16 ∧ x17 = x17 ∧ x18 = x18 ∧ x19 = x19 ∧ x20 = x20 ∧ x21 = x21 ∧ x22 = x22 ∧ x23 = x23 ∧ x24 = x24 ∧ x25 = x25 ∧ x26 = x26 ∧ x27 = x27 l12 l12 l12: x1 = x1 ∧ x2 = x2 ∧ x3 = x3 ∧ x4 = x4 ∧ x5 = x5 ∧ x6 = x6 ∧ x7 = x7 ∧ x8 = x8 ∧ x9 = x9 ∧ x10 = x10 ∧ x11 = x11 ∧ x12 = x12 ∧ x13 = x13 ∧ x14 = x14 ∧ x15 = x15 ∧ x16 = x16 ∧ x17 = x17 ∧ x18 = x18 ∧ x19 = x19 ∧ x20 = x20 ∧ x21 = x21 ∧ x22 = x22 ∧ x23 = x23 ∧ x24 = x24 ∧ x25 = x25 ∧ x26 = x26 ∧ x27 = x27 l19 l19 l19: x1 = x1 ∧ x2 = x2 ∧ x3 = x3 ∧ x4 = x4 ∧ x5 = x5 ∧ x6 = x6 ∧ x7 = x7 ∧ x8 = x8 ∧ x9 = x9 ∧ x10 = x10 ∧ x11 = x11 ∧ x12 = x12 ∧ x13 = x13 ∧ x14 = x14 ∧ x15 = x15 ∧ x16 = x16 ∧ x17 = x17 ∧ x18 = x18 ∧ x19 = x19 ∧ x20 = x20 ∧ x21 = x21 ∧ x22 = x22 ∧ x23 = x23 ∧ x24 = x24 ∧ x25 = x25 ∧ x26 = x26 ∧ x27 = x27 l26 l26 l26: x1 = x1 ∧ x2 = x2 ∧ x3 = x3 ∧ x4 = x4 ∧ x5 = x5 ∧ x6 = x6 ∧ x7 = x7 ∧ x8 = x8 ∧ x9 = x9 ∧ x10 = x10 ∧ x11 = x11 ∧ x12 = x12 ∧ x13 = x13 ∧ x14 = x14 ∧ x15 = x15 ∧ x16 = x16 ∧ x17 = x17 ∧ x18 = x18 ∧ x19 = x19 ∧ x20 = x20 ∧ x21 = x21 ∧ x22 = x22 ∧ x23 = x23 ∧ x24 = x24 ∧ x25 = x25 ∧ x26 = x26 ∧ x27 = x27 l33 l33 l33: x1 = x1 ∧ x2 = x2 ∧ x3 = x3 ∧ x4 = x4 ∧ x5 = x5 ∧ x6 = x6 ∧ x7 = x7 ∧ x8 = x8 ∧ x9 = x9 ∧ x10 = x10 ∧ x11 = x11 ∧ x12 = x12 ∧ x13 = x13 ∧ x14 = x14 ∧ x15 = x15 ∧ x16 = x16 ∧ x17 = x17 ∧ x18 = x18 ∧ x19 = x19 ∧ x20 = x20 ∧ x21 = x21 ∧ x22 = x22 ∧ x23 = x23 ∧ x24 = x24 ∧ x25 = x25 ∧ x26 = x26 ∧ x27 = x27 l40 l40 l40: x1 = x1 ∧ x2 = x2 ∧ x3 = x3 ∧ x4 = x4 ∧ x5 = x5 ∧ x6 = x6 ∧ x7 = x7 ∧ x8 = x8 ∧ x9 = x9 ∧ x10 = x10 ∧ x11 = x11 ∧ x12 = x12 ∧ x13 = x13 ∧ x14 = x14 ∧ x15 = x15 ∧ x16 = x16 ∧ x17 = x17 ∧ x18 = x18 ∧ x19 = x19 ∧ x20 = x20 ∧ x21 = x21 ∧ x22 = x22 ∧ x23 = x23 ∧ x24 = x24 ∧ x25 = x25 ∧ x26 = x26 ∧ x27 = x27 l7 l7 l7: x1 = x1 ∧ x2 = x2 ∧ x3 = x3 ∧ x4 = x4 ∧ x5 = x5 ∧ x6 = x6 ∧ x7 = x7 ∧ x8 = x8 ∧ x9 = x9 ∧ x10 = x10 ∧ x11 = x11 ∧ x12 = x12 ∧ x13 = x13 ∧ x14 = x14 ∧ x15 = x15 ∧ x16 = x16 ∧ x17 = x17 ∧ x18 = x18 ∧ x19 = x19 ∧ x20 = x20 ∧ x21 = x21 ∧ x22 = x22 ∧ x23 = x23 ∧ x24 = x24 ∧ x25 = x25 ∧ x26 = x26 ∧ x27 = x27 l24 l24 l24: x1 = x1 ∧ x2 = x2 ∧ x3 = x3 ∧ x4 = x4 ∧ x5 = x5 ∧ x6 = x6 ∧ x7 = x7 ∧ x8 = x8 ∧ x9 = x9 ∧ x10 = x10 ∧ x11 = x11 ∧ x12 = x12 ∧ x13 = x13 ∧ x14 = x14 ∧ x15 = x15 ∧ x16 = x16 ∧ x17 = x17 ∧ x18 = x18 ∧ x19 = x19 ∧ x20 = x20 ∧ x21 = x21 ∧ x22 = x22 ∧ x23 = x23 ∧ x24 = x24 ∧ x25 = x25 ∧ x26 = x26 ∧ x27 = x27 l37 l37 l37: x1 = x1 ∧ x2 = x2 ∧ x3 = x3 ∧ x4 = x4 ∧ x5 = x5 ∧ x6 = x6 ∧ x7 = x7 ∧ x8 = x8 ∧ x9 = x9 ∧ x10 = x10 ∧ x11 = x11 ∧ x12 = x12 ∧ x13 = x13 ∧ x14 = x14 ∧ x15 = x15 ∧ x16 = x16 ∧ x17 = x17 ∧ x18 = x18 ∧ x19 = x19 ∧ x20 = x20 ∧ x21 = x21 ∧ x22 = x22 ∧ x23 = x23 ∧ x24 = x24 ∧ x25 = x25 ∧ x26 = x26 ∧ x27 = x27 l11 l11 l11: x1 = x1 ∧ x2 = x2 ∧ x3 = x3 ∧ x4 = x4 ∧ x5 = x5 ∧ x6 = x6 ∧ x7 = x7 ∧ x8 = x8 ∧ x9 = x9 ∧ x10 = x10 ∧ x11 = x11 ∧ x12 = x12 ∧ x13 = x13 ∧ x14 = x14 ∧ x15 = x15 ∧ x16 = x16 ∧ x17 = x17 ∧ x18 = x18 ∧ x19 = x19 ∧ x20 = x20 ∧ x21 = x21 ∧ x22 = x22 ∧ x23 = x23 ∧ x24 = x24 ∧ x25 = x25 ∧ x26 = x26 ∧ x27 = x27 l3 l3 l3: x1 = x1 ∧ x2 = x2 ∧ x3 = x3 ∧ x4 = x4 ∧ x5 = x5 ∧ x6 = x6 ∧ x7 = x7 ∧ x8 = x8 ∧ x9 = x9 ∧ x10 = x10 ∧ x11 = x11 ∧ x12 = x12 ∧ x13 = x13 ∧ x14 = x14 ∧ x15 = x15 ∧ x16 = x16 ∧ x17 = x17 ∧ x18 = x18 ∧ x19 = x19 ∧ x20 = x20 ∧ x21 = x21 ∧ x22 = x22 ∧ x23 = x23 ∧ x24 = x24 ∧ x25 = x25 ∧ x26 = x26 ∧ x27 = x27 l41 l41 l41: x1 = x1 ∧ x2 = x2 ∧ x3 = x3 ∧ x4 = x4 ∧ x5 = x5 ∧ x6 = x6 ∧ x7 = x7 ∧ x8 = x8 ∧ x9 = x9 ∧ x10 = x10 ∧ x11 = x11 ∧ x12 = x12 ∧ x13 = x13 ∧ x14 = x14 ∧ x15 = x15 ∧ x16 = x16 ∧ x17 = x17 ∧ x18 = x18 ∧ x19 = x19 ∧ x20 = x20 ∧ x21 = x21 ∧ x22 = x22 ∧ x23 = x23 ∧ x24 = x24 ∧ x25 = x25 ∧ x26 = x26 ∧ x27 = x27 l20 l20 l20: x1 = x1 ∧ x2 = x2 ∧ x3 = x3 ∧ x4 = x4 ∧ x5 = x5 ∧ x6 = x6 ∧ x7 = x7 ∧ x8 = x8 ∧ x9 = x9 ∧ x10 = x10 ∧ x11 = x11 ∧ x12 = x12 ∧ x13 = x13 ∧ x14 = x14 ∧ x15 = x15 ∧ x16 = x16 ∧ x17 = x17 ∧ x18 = x18 ∧ x19 = x19 ∧ x20 = x20 ∧ x21 = x21 ∧ x22 = x22 ∧ x23 = x23 ∧ x24 = x24 ∧ x25 = x25 ∧ x26 = x26 ∧ x27 = x27 l32 l32 l32: x1 = x1 ∧ x2 = x2 ∧ x3 = x3 ∧ x4 = x4 ∧ x5 = x5 ∧ x6 = x6 ∧ x7 = x7 ∧ x8 = x8 ∧ x9 = x9 ∧ x10 = x10 ∧ x11 = x11 ∧ x12 = x12 ∧ x13 = x13 ∧ x14 = x14 ∧ x15 = x15 ∧ x16 = x16 ∧ x17 = x17 ∧ x18 = x18 ∧ x19 = x19 ∧ x20 = x20 ∧ x21 = x21 ∧ x22 = x22 ∧ x23 = x23 ∧ x24 = x24 ∧ x25 = x25 ∧ x26 = x26 ∧ x27 = x27 l28 l28 l28: x1 = x1 ∧ x2 = x2 ∧ x3 = x3 ∧ x4 = x4 ∧ x5 = x5 ∧ x6 = x6 ∧ x7 = x7 ∧ x8 = x8 ∧ x9 = x9 ∧ x10 = x10 ∧ x11 = x11 ∧ x12 = x12 ∧ x13 = x13 ∧ x14 = x14 ∧ x15 = x15 ∧ x16 = x16 ∧ x17 = x17 ∧ x18 = x18 ∧ x19 = x19 ∧ x20 = x20 ∧ x21 = x21 ∧ x22 = x22 ∧ x23 = x23 ∧ x24 = x24 ∧ x25 = x25 ∧ x26 = x26 ∧ x27 = x27 l42 l42 l42: x1 = x1 ∧ x2 = x2 ∧ x3 = x3 ∧ x4 = x4 ∧ x5 = x5 ∧ x6 = x6 ∧ x7 = x7 ∧ x8 = x8 ∧ x9 = x9 ∧ x10 = x10 ∧ x11 = x11 ∧ x12 = x12 ∧ x13 = x13 ∧ x14 = x14 ∧ x15 = x15 ∧ x16 = x16 ∧ x17 = x17 ∧ x18 = x18 ∧ x19 = x19 ∧ x20 = x20 ∧ x21 = x21 ∧ x22 = x22 ∧ x23 = x23 ∧ x24 = x24 ∧ x25 = x25 ∧ x26 = x26 ∧ x27 = x27 l2 l2 l2: x1 = x1 ∧ x2 = x2 ∧ x3 = x3 ∧ x4 = x4 ∧ x5 = x5 ∧ x6 = x6 ∧ x7 = x7 ∧ x8 = x8 ∧ x9 = x9 ∧ x10 = x10 ∧ x11 = x11 ∧ x12 = x12 ∧ x13 = x13 ∧ x14 = x14 ∧ x15 = x15 ∧ x16 = x16 ∧ x17 = x17 ∧ x18 = x18 ∧ x19 = x19 ∧ x20 = x20 ∧ x21 = x21 ∧ x22 = x22 ∧ x23 = x23 ∧ x24 = x24 ∧ x25 = x25 ∧ x26 = x26 ∧ x27 = x27 l23 l23 l23: x1 = x1 ∧ x2 = x2 ∧ x3 = x3 ∧ x4 = x4 ∧ x5 = x5 ∧ x6 = x6 ∧ x7 = x7 ∧ x8 = x8 ∧ x9 = x9 ∧ x10 = x10 ∧ x11 = x11 ∧ x12 = x12 ∧ x13 = x13 ∧ x14 = x14 ∧ x15 = x15 ∧ x16 = x16 ∧ x17 = x17 ∧ x18 = x18 ∧ x19 = x19 ∧ x20 = x20 ∧ x21 = x21 ∧ x22 = x22 ∧ x23 = x23 ∧ x24 = x24 ∧ x25 = x25 ∧ x26 = x26 ∧ x27 = x27 l4 l4 l4: x1 = x1 ∧ x2 = x2 ∧ x3 = x3 ∧ x4 = x4 ∧ x5 = x5 ∧ x6 = x6 ∧ x7 = x7 ∧ x8 = x8 ∧ x9 = x9 ∧ x10 = x10 ∧ x11 = x11 ∧ x12 = x12 ∧ x13 = x13 ∧ x14 = x14 ∧ x15 = x15 ∧ x16 = x16 ∧ x17 = x17 ∧ x18 = x18 ∧ x19 = x19 ∧ x20 = x20 ∧ x21 = x21 ∧ x22 = x22 ∧ x23 = x23 ∧ x24 = x24 ∧ x25 = x25 ∧ x26 = x26 ∧ x27 = x27 l38 l38 l38: x1 = x1 ∧ x2 = x2 ∧ x3 = x3 ∧ x4 = x4 ∧ x5 = x5 ∧ x6 = x6 ∧ x7 = x7 ∧ x8 = x8 ∧ x9 = x9 ∧ x10 = x10 ∧ x11 = x11 ∧ x12 = x12 ∧ x13 = x13 ∧ x14 = x14 ∧ x15 = x15 ∧ x16 = x16 ∧ x17 = x17 ∧ x18 = x18 ∧ x19 = x19 ∧ x20 = x20 ∧ x21 = x21 ∧ x22 = x22 ∧ x23 = x23 ∧ x24 = x24 ∧ x25 = x25 ∧ x26 = x26 ∧ x27 = x27 l10 l10 l10: x1 = x1 ∧ x2 = x2 ∧ x3 = x3 ∧ x4 = x4 ∧ x5 = x5 ∧ x6 = x6 ∧ x7 = x7 ∧ x8 = x8 ∧ x9 = x9 ∧ x10 = x10 ∧ x11 = x11 ∧ x12 = x12 ∧ x13 = x13 ∧ x14 = x14 ∧ x15 = x15 ∧ x16 = x16 ∧ x17 = x17 ∧ x18 = x18 ∧ x19 = x19 ∧ x20 = x20 ∧ x21 = x21 ∧ x22 = x22 ∧ x23 = x23 ∧ x24 = x24 ∧ x25 = x25 ∧ x26 = x26 ∧ x27 = x27 l36 l36 l36: x1 = x1 ∧ x2 = x2 ∧ x3 = x3 ∧ x4 = x4 ∧ x5 = x5 ∧ x6 = x6 ∧ x7 = x7 ∧ x8 = x8 ∧ x9 = x9 ∧ x10 = x10 ∧ x11 = x11 ∧ x12 = x12 ∧ x13 = x13 ∧ x14 = x14 ∧ x15 = x15 ∧ x16 = x16 ∧ x17 = x17 ∧ x18 = x18 ∧ x19 = x19 ∧ x20 = x20 ∧ x21 = x21 ∧ x22 = x22 ∧ x23 = x23 ∧ x24 = x24 ∧ x25 = x25 ∧ x26 = x26 ∧ x27 = x27 l29 l29 l29: x1 = x1 ∧ x2 = x2 ∧ x3 = x3 ∧ x4 = x4 ∧ x5 = x5 ∧ x6 = x6 ∧ x7 = x7 ∧ x8 = x8 ∧ x9 = x9 ∧ x10 = x10 ∧ x11 = x11 ∧ x12 = x12 ∧ x13 = x13 ∧ x14 = x14 ∧ x15 = x15 ∧ x16 = x16 ∧ x17 = x17 ∧ x18 = x18 ∧ x19 = x19 ∧ x20 = x20 ∧ x21 = x21 ∧ x22 = x22 ∧ x23 = x23 ∧ x24 = x24 ∧ x25 = x25 ∧ x26 = x26 ∧ x27 = x27 l16 l16 l16: x1 = x1 ∧ x2 = x2 ∧ x3 = x3 ∧ x4 = x4 ∧ x5 = x5 ∧ x6 = x6 ∧ x7 = x7 ∧ x8 = x8 ∧ x9 = x9 ∧ x10 = x10 ∧ x11 = x11 ∧ x12 = x12 ∧ x13 = x13 ∧ x14 = x14 ∧ x15 = x15 ∧ x16 = x16 ∧ x17 = x17 ∧ x18 = x18 ∧ x19 = x19 ∧ x20 = x20 ∧ x21 = x21 ∧ x22 = x22 ∧ x23 = x23 ∧ x24 = x24 ∧ x25 = x25 ∧ x26 = x26 ∧ x27 = x27 l15 l15 l15: x1 = x1 ∧ x2 = x2 ∧ x3 = x3 ∧ x4 = x4 ∧ x5 = x5 ∧ x6 = x6 ∧ x7 = x7 ∧ x8 = x8 ∧ x9 = x9 ∧ x10 = x10 ∧ x11 = x11 ∧ x12 = x12 ∧ x13 = x13 ∧ x14 = x14 ∧ x15 = x15 ∧ x16 = x16 ∧ x17 = x17 ∧ x18 = x18 ∧ x19 = x19 ∧ x20 = x20 ∧ x21 = x21 ∧ x22 = x22 ∧ x23 = x23 ∧ x24 = x24 ∧ x25 = x25 ∧ x26 = x26 ∧ x27 = x27 l30 l30 l30: x1 = x1 ∧ x2 = x2 ∧ x3 = x3 ∧ x4 = x4 ∧ x5 = x5 ∧ x6 = x6 ∧ x7 = x7 ∧ x8 = x8 ∧ x9 = x9 ∧ x10 = x10 ∧ x11 = x11 ∧ x12 = x12 ∧ x13 = x13 ∧ x14 = x14 ∧ x15 = x15 ∧ x16 = x16 ∧ x17 = x17 ∧ x18 = x18 ∧ x19 = x19 ∧ x20 = x20 ∧ x21 = x21 ∧ x22 = x22 ∧ x23 = x23 ∧ x24 = x24 ∧ x25 = x25 ∧ x26 = x26 ∧ x27 = x27
and for every transition t, a duplicate t is considered.

### 2 SCC Decomposition

We consider subproblems for each of the 3 SCC(s) of the program graph.

### 2.1 SCC Subproblem 1/3

Here we consider the SCC { l5, l23, l7, l6 }.

### 2.1.1 Transition Removal

We remove transition 7 using the following ranking functions, which are bounded by 0.

 l5: − x6 + x8 l6: − x6 + x8 l7: − x6 + x8 l23: − x6 + x8

### 2.1.2 Transition Removal

We remove transition 34 using the following ranking functions, which are bounded by 0.

 l5: −1 − x5 + x8 l6: − x5 + x8 l7: −1 − x5 + x8 l23: − x5 + x8

### 2.1.3 Transition Removal

We remove transitions 6, 25, 41 using the following ranking functions, which are bounded by 0.

 l5: 2 l6: 1 l7: 3 l23: 0

### 2.1.4 Trivial Cooperation Program

There are no more "sharp" transitions in the cooperation program. Hence the cooperation termination is proved.

### 2.2 SCC Subproblem 2/3

Here we consider the SCC { l24, l35 }.

### 2.2.1 Transition Removal

We remove transition 53 using the following ranking functions, which are bounded by 0.

 l24: −2⋅x5 + 2⋅x8 + 1 l35: −2⋅x5 + 2⋅x8

### 2.2.2 Transition Removal

We remove transition 54 using the following ranking functions, which are bounded by 0.

 l24: 0 l35: −1

### 2.2.3 Trivial Cooperation Program

There are no more "sharp" transitions in the cooperation program. Hence the cooperation termination is proved.

### 2.3 SCC Subproblem 3/3

Here we consider the SCC { l22, l39, l1, l13, l31, l18, l17, l21, l9, l14, l25, l8, l0, l12, l19, l26, l33, l40, l37, l11, l3, l41, l20, l32, l28, l2, l4, l38, l10, l36, l29, l16, l15, l30 }.

### 2.3.1 Transition Removal

We remove transitions 29, 43 using the following ranking functions, which are bounded by 0.

 l0: −3 − 3⋅x6 + 3⋅x8 l1: −3 − 3⋅x6 + 3⋅x8 l2: −3 − 3⋅x6 + 3⋅x8 l4: −3 − 3⋅x6 + 3⋅x8 l9: −3 − 3⋅x6 + 3⋅x8 l3: −3 − 3⋅x6 + 3⋅x8 l8: −3 − 3⋅x6 + 3⋅x8 l10: −3 − 3⋅x6 + 3⋅x8 l12: −3 − 3⋅x6 + 3⋅x8 l18: −3 − 3⋅x6 + 3⋅x8 l14: −3 − 3⋅x6 + 3⋅x8 l16: −3 − 3⋅x6 + 3⋅x8 l13: −3 − 3⋅x6 + 3⋅x8 l17: −3 − 3⋅x6 + 3⋅x8 l19: −3⋅x6 + 3⋅x8 l15: −3⋅x6 + 3⋅x8 l21: −3⋅x6 + 3⋅x8 l20: −3⋅x6 + 3⋅x8 l25: −3⋅x6 + 3⋅x8 l26: −3⋅x6 + 3⋅x8 l31: −3⋅x6 + 3⋅x8 l29: −3⋅x6 + 3⋅x8 l32: −3⋅x6 + 3⋅x8 l33: −3⋅x6 + 3⋅x8 l36: −3⋅x6 + 3⋅x8 l22: −3⋅x6 + 3⋅x8 l28: −3⋅x6 + 3⋅x8 l30: −3⋅x6 + 3⋅x8 l11: −3 − 3⋅x6 + 3⋅x8 l37: −3 − 3⋅x6 + 3⋅x8 l38: −3 − 3⋅x6 + 3⋅x8 l39: −3 − 3⋅x6 + 3⋅x8 l40: −3 − 3⋅x6 + 3⋅x8 l41: −3 − 3⋅x6 + 3⋅x8

### 2.3.2 Transition Removal

We remove transitions 32, 56, 46 using the following ranking functions, which are bounded by 0.

 l0: −1 − x5 + x8 l1: −1 − x5 + x8 l2: −1 − x5 + x8 l4: −1 − x5 + x8 l9: −1 − x5 + x8 l3: −1 − x5 + x8 l8: −1 − x5 + x8 l10: −1 − x5 + x8 l12: −1 − x5 + x8 l18: −1 − x5 + x8 l14: −1 − x5 + x8 l16: −1 − x5 + x8 l13: −1 − x5 + x8 l17: −1 − x5 + x8 l15: −1 − x5 + x8 l19: −1 − x5 + x8 l21: − x5 + x8 l20: − x5 + x8 l25: − x5 + x8 l26: − x5 + x8 l31: − x5 + x8 l29: − x5 + x8 l32: − x5 + x8 l33: − x5 + x8 l36: − x5 + x8 l22: − x5 + x8 l28: −1 − x5 + x8 l30: −1 − x5 + x8 l11: −1 − x5 + x8 l37: −1 − x5 + x8 l38: −1 − x5 + x8 l39: −1 − x5 + x8 l40: −1 − x5 + x8 l41: −1 − x5 + x8

### 2.3.3 Transition Removal

We remove transitions 26, 37, 49 using the following ranking functions, which are bounded by 0.

 l0: 98 − 2⋅x4 l1: 98 − 2⋅x4 l2: 98 − 2⋅x4 l4: 98 − 2⋅x4 l9: 98 − 2⋅x4 l3: 98 − 2⋅x4 l8: 98 − 2⋅x4 l10: 98 − 2⋅x4 l12: 98 − 2⋅x4 l18: 99 − 2⋅x4 l14: 98 − 2⋅x4 l16: 98 − 2⋅x4 l13: 99 − 2⋅x4 l17: 99 − 2⋅x4 l15: 98 − 2⋅x4 l19: 98 − 2⋅x4 l20: 98 − 2⋅x4 l21: 98 − 2⋅x4 l25: 99 − 2⋅x4 l26: 99 − 2⋅x4 l31: 99 − 2⋅x4 l29: 99 − 2⋅x4 l32: 100 − 2⋅x4 l33: 100 − 2⋅x4 l36: 98 − 2⋅x4 l22: 98 − 2⋅x4 l28: −1 − 2⋅x4 + 100⋅x6 − 100⋅x8 l30: −1 − 2⋅x4 + 100⋅x6 − 100⋅x8 l11: 98 − 2⋅x4 l37: 98 − 2⋅x4 l38: 98 − 2⋅x4 l39: 98 − 2⋅x4 l40: 98 − 2⋅x4 l41: 98 − 2⋅x4

### 2.3.4 Transition Removal

We remove transitions 62, 59 using the following ranking functions, which are bounded by 0.

 l0: 1 − x7 + x8 l1: 1 − x7 + x8 l2: 2 − x7 + x8 l4: 2 − x7 + x8 l9: 2 − x7 + x8 l3: 2 − x7 + x8 l8: 2 − x7 + x8 l10: 2 − x7 + x8 l12: 2 − x7 + x8 l14: 2 − x7 + x8 l16: 2 − x7 + x8 l13: 2 − x7 + x8 l17: 2 − x7 + x8 l18: 2 − x7 + x8 l15: −3 − x7 + x8 l19: −3 − x7 + x8 l20: −1 − 2⋅x6 − x7 + 3⋅x8 l21: −1 − 2⋅x6 − x7 + 3⋅x8 l25: −5 + x4 − 2⋅x6 − x7 + 3⋅x8 l26: −5 + x4 − 2⋅x6 − x7 + 3⋅x8 l31: −5 + x4 + 2⋅x5 − 2⋅x6 − x7 + x8 l29: −5 + x4 + 2⋅x5 − 2⋅x6 − x7 + x8 l33: −1 − x5 − 2⋅x6 − x7 + 4⋅x8 l32: −1 − x5 − 2⋅x6 − x7 + 4⋅x8 l36: −1 − x5 − 2⋅x6 − x7 + 4⋅x8 l22: −1 − x5 − 2⋅x6 − x7 + 4⋅x8 l28: −6 + x4 + 2⋅x5 + x6 − x7 − 2⋅x8 l30: −6 + x4 + 2⋅x5 + x6 − x7 − 2⋅x8 l11: − x7 + x8 l37: − x7 + x8 l38: − x7 + x8 l39: − x7 + x8 l40: − x7 + x8 l41: − x7 + x8

### 2.3.5 Transition Removal

We remove transitions 1, 9, 12, 5, 4, 8, 11, 10, 14, 15, 17, 20, 19, 16, 23, 22, 27, 21, 24, 13 using the following ranking functions, which are bounded by 0.

 l0: 0 l1: −4 l2: 0 l4: 1 l9: 4 l3: 2 l8: 3 l10: 5 l12: 6 l14: 7 l16: 8 l13: 8 l17: 9 l18: 10 l15: −4 l19: −4 l20: −1 − 3⋅x6 + 3⋅x8 l21: −1 − 3⋅x6 + 3⋅x8 l25: −5 + x4 − 3⋅x6 + 3⋅x8 l26: −5 + x4 − 3⋅x6 + 3⋅x8 l31: −5 + x4 + 2⋅x5 − 3⋅x6 + x8 l29: −5 + x4 + 2⋅x5 − 3⋅x6 + x8 l33: −1 − x5 − 3⋅x6 + 4⋅x8 l32: −1 − x5 − 3⋅x6 + 4⋅x8 l36: −1 − x5 − 3⋅x6 + 4⋅x8 l22: −1 − x5 − 3⋅x6 + 4⋅x8 l28: −5 + x4 + 2⋅x5 − x6 − x8 l30: −5 + x4 + 2⋅x5 − x6 − x8 l11: −4 l37: −4 l38: −4 l39: −4 l40: −4 l41: −4

### 2.3.6 Transition Removal

We remove transitions 45, 55, 31 using the following ranking functions, which are bounded by 0.

 l2: −1 + 4⋅x1 + 5⋅x4 + 6⋅x5 + 7⋅x6 − x7 + 8⋅x8 + 9⋅x9 + 10⋅x10 + 11⋅x11 + 12⋅x12 + 13⋅x13 + 14⋅x14 + 15⋅x15 + 16⋅x16 + 17⋅x17 + 18⋅x18 + 19⋅x19 + 20⋅x20 + 21⋅x21 + 22⋅x22 + 23⋅x23 + 24⋅x24 + 25⋅x25 + 26⋅x26 + 27⋅x27 l0: −1 + 4⋅x1 + 5⋅x4 + 6⋅x5 + 7⋅x6 − x7 + 8⋅x8 + 9⋅x9 + 10⋅x10 + 11⋅x11 + 12⋅x12 + 13⋅x13 + 14⋅x14 + 15⋅x15 + 16⋅x16 + 17⋅x17 + 18⋅x18 + 19⋅x19 + 20⋅x20 + 21⋅x21 + 22⋅x22 + 23⋅x23 + 24⋅x24 + 25⋅x25 + 26⋅x26 + 27⋅x27 l15: −1 + x5 + 2⋅x6 − 3⋅x8 l19: −1 + x5 + 2⋅x6 − 3⋅x8 l20: x5 − x8 l21: x5 − x8 l25: x5 − x8 l26: x5 − x8 l31: 1 + x5 − x8 l29: 1 + x5 − x8 l33: −2 + x5 − x8 l32: −2 + x5 − x8 l36: −1 + x5 − x8 l22: −1 + x5 − x8 l28: −1 + x5 + 3⋅x6 − 4⋅x8 l30: −1 + x5 + 3⋅x6 − 4⋅x8 l11: 1 + x5 + 2⋅x6 − 3⋅x8 l37: 1 + x5 + 2⋅x6 − 3⋅x8 l38: 1 + x5 + 2⋅x6 − 3⋅x8 l39: 1 + x5 + 2⋅x6 − 3⋅x8 l40: 1 + x5 + 2⋅x6 − 3⋅x8 l41: 1 + x5 + 2⋅x6 − 3⋅x8 l1: 1 + x5 + 2⋅x6 − 3⋅x8

### 2.3.7 Transition Removal

We remove transitions 47, 50, 57, 42, 44, 65 using the following ranking functions, which are bounded by 0.

 l2: −1 + 3⋅x1 + 4⋅x4 + 5⋅x5 + 6⋅x6 − x7 + 7⋅x8 + 8⋅x9 + 9⋅x10 + 10⋅x11 + 11⋅x12 + 12⋅x13 + 13⋅x14 + 14⋅x15 + 15⋅x16 + 16⋅x17 + 17⋅x18 + 18⋅x19 + 19⋅x20 + 20⋅x21 + 21⋅x22 + 22⋅x23 + 23⋅x24 + 24⋅x25 + 25⋅x26 + 26⋅x27 l0: −2 + 3⋅x1 + 4⋅x4 + 5⋅x5 + 6⋅x6 − x7 + 7⋅x8 + 8⋅x9 + 9⋅x10 + 10⋅x11 + 11⋅x12 + 12⋅x13 + 13⋅x14 + 14⋅x15 + 15⋅x16 + 16⋅x17 + 17⋅x18 + 18⋅x19 + 19⋅x20 + 20⋅x21 + 21⋅x22 + 22⋅x23 + 23⋅x24 + 24⋅x25 + 25⋅x26 + 26⋅x27 l15: −3 + 2⋅x6 − 3⋅x7 + x8 l19: −3 + 2⋅x6 − 3⋅x7 + x8 l20: −3 + 2⋅x6 − 3⋅x7 + x8 l21: −3 + 2⋅x6 − 3⋅x7 + x8 l25: −7 + x4 + 2⋅x6 − 3⋅x7 + x8 l26: −7 + x4 + 2⋅x6 − 3⋅x7 + x8 l29: 0 l31: −1 l33: 1 l32: 0 l22: 1 l36: 0 l28: 1 l30: 2 l11: −1 + 2⋅x6 − 3⋅x7 + x8 l37: −1 + 2⋅x6 − 3⋅x7 + x8 l38: −1 + 2⋅x6 − 3⋅x7 + x8 l39: −2 + 2⋅x6 − 2⋅x7 l40: −2 + 2⋅x6 − 2⋅x7 l41: −2 + 2⋅x6 − 2⋅x7 l1: −2 + 2⋅x6 − 2⋅x7

### 2.3.8 Transition Removal

We remove transitions 30, 35, 36, 39, 38, 28, 18, 58, 60, 61, 63, 64, 66 using the following ranking functions, which are bounded by 0.

 l2: −1 + 10⋅x1 + 11⋅x4 + 12⋅x5 + 13⋅x6 − x7 + 14⋅x8 + 15⋅x9 + 16⋅x10 + 17⋅x11 + 18⋅x12 + 19⋅x13 + 20⋅x14 + 21⋅x15 + 22⋅x16 + 23⋅x17 + 24⋅x18 + 25⋅x19 + 26⋅x20 + 27⋅x21 + 28⋅x22 + 29⋅x23 + 30⋅x24 + 31⋅x25 + 32⋅x26 + 33⋅x27 l0: −2 + 10⋅x1 + 11⋅x4 + 12⋅x5 + 13⋅x6 − x7 + 14⋅x8 + 15⋅x9 + 16⋅x10 + 17⋅x11 + 18⋅x12 + 19⋅x13 + 20⋅x14 + 21⋅x15 + 22⋅x16 + 23⋅x17 + 24⋅x18 + 25⋅x19 + 26⋅x20 + 27⋅x21 + 28⋅x22 + 29⋅x23 + 30⋅x24 + 31⋅x25 + 32⋅x26 + 33⋅x27 l15: 2 l19: 1 l20: 0 l21: −1 l25: 1 l26: 2 l11: 3 l37: 4 l38: 5 l39: 6 l40: 7 l41: 8 l1: 9

### 2.3.9 Transition Removal

We remove transition 2 using the following ranking functions, which are bounded by 0.

 l2: 2⋅x5 − 2⋅x7 + 1 l0: 2⋅x5 − 2⋅x7

### 2.3.10 Transition Removal

We remove transition 3 using the following ranking functions, which are bounded by 0.

 l2: 0 l0: −1

### 2.3.11 Trivial Cooperation Program

There are no more "sharp" transitions in the cooperation program. Hence the cooperation termination is proved.

## Tool configuration

AProVE

• version: AProVE Commit ID: unknown
• strategy: Statistics for single proof: 100.00 % (22 real / 0 unknown / 0 assumptions / 22 total proof steps)