LTS Termination Proof

Input

Integer Transition System

Initial Location: l5, l22, l13, l18, l17, l21, l9, l14, l25, l6, l8, l0, l12, l19, l26, l7, l24, l11, l3, l20, l2, l23, l4, l10, l15, l16

Transitions: (pre-variables and post-variables)

l0	1	l1:	x1 = _bDomainHAT0 ∧ x2 = _bExistsHAT0 ∧ x3 = _bSortedHAT0 ∧ x4 = _nDimHAT0 ∧ x5 = _niHAT0 ∧ x6 = _njHAT0 ∧ x7 = _tmpHAT0 ∧ x8 = _tmp___0HAT0 ∧ x9 = _tmp___1HAT0 ∧ x10 = _tmp___2HAT0 ∧ x11 = _tmp___3HAT0 ∧ x12 = _tmp___4HAT0 ∧ x1 = _bDomainHATpost ∧ x2 = _bExistsHATpost ∧ x3 = _bSortedHATpost ∧ x4 = _nDimHATpost ∧ x5 = _niHATpost ∧ x6 = _njHATpost ∧ x7 = _tmpHATpost ∧ x8 = _tmp___0HATpost ∧ x9 = _tmp___1HATpost ∧ x10 = _tmp___2HATpost ∧ x11 = _tmp___3HATpost ∧ x12 = _tmp___4HATpost ∧ _tmp___4HAT0 = _tmp___4HATpost ∧ _tmp___3HAT0 = _tmp___3HATpost ∧ _tmp___2HAT0 = _tmp___2HATpost ∧ _tmp___1HAT0 = _tmp___1HATpost ∧ _tmp___0HAT0 = _tmp___0HATpost ∧ _tmpHAT0 = _tmpHATpost ∧ _njHAT0 = _njHATpost ∧ _niHAT0 = _niHATpost ∧ _nDimHAT0 = _nDimHATpost ∧ _bSortedHAT0 = _bSortedHATpost ∧ _bExistsHAT0 = _bExistsHATpost ∧ _bDomainHAT0 = _bDomainHATpost
l2	2	l0:	x1 = _x ∧ x2 = _x1 ∧ x3 = _x2 ∧ x4 = _x3 ∧ x5 = _x4 ∧ x6 = _x5 ∧ x7 = _x6 ∧ x8 = _x7 ∧ x9 = _x8 ∧ x10 = _x9 ∧ x11 = _x10 ∧ x12 = _x11 ∧ x1 = _x12 ∧ x2 = _x13 ∧ x3 = _x14 ∧ x4 = _x15 ∧ x5 = _x16 ∧ x6 = _x17 ∧ x7 = _x18 ∧ x8 = _x19 ∧ x9 = _x20 ∧ x10 = _x21 ∧ x11 = _x22 ∧ x12 = _x23 ∧ _x10 = _x22 ∧ _x9 = _x21 ∧ _x8 = _x20 ∧ _x7 = _x19 ∧ _x6 = _x18 ∧ _x5 = _x17 ∧ _x4 = _x16 ∧ _x3 = _x15 ∧ _x2 = _x14 ∧ _x1 = _x13 ∧ _x = _x12 ∧ _x23 = 0
l3	3	l0:	x1 = _x24 ∧ x2 = _x25 ∧ x3 = _x26 ∧ x4 = _x27 ∧ x5 = _x28 ∧ x6 = _x29 ∧ x7 = _x30 ∧ x8 = _x31 ∧ x9 = _x32 ∧ x10 = _x33 ∧ x11 = _x34 ∧ x12 = _x35 ∧ x1 = _x36 ∧ x2 = _x37 ∧ x3 = _x38 ∧ x4 = _x39 ∧ x5 = _x40 ∧ x6 = _x41 ∧ x7 = _x42 ∧ x8 = _x43 ∧ x9 = _x44 ∧ x10 = _x45 ∧ x11 = _x46 ∧ x12 = _x47 ∧ _x34 = _x46 ∧ _x33 = _x45 ∧ _x32 = _x44 ∧ _x31 = _x43 ∧ _x30 = _x42 ∧ _x29 = _x41 ∧ _x28 = _x40 ∧ _x27 = _x39 ∧ _x26 = _x38 ∧ _x25 = _x37 ∧ _x24 = _x36 ∧ _x47 = 1 ∧ 0 ≤ _x26 ∧ _x26 ≤ 0
l3	4	l2:	x1 = _x48 ∧ x2 = _x49 ∧ x3 = _x50 ∧ x4 = _x51 ∧ x5 = _x52 ∧ x6 = _x53 ∧ x7 = _x54 ∧ x8 = _x55 ∧ x9 = _x56 ∧ x10 = _x57 ∧ x11 = _x58 ∧ x12 = _x59 ∧ x1 = _x60 ∧ x2 = _x61 ∧ x3 = _x62 ∧ x4 = _x63 ∧ x5 = _x64 ∧ x6 = _x65 ∧ x7 = _x66 ∧ x8 = _x67 ∧ x9 = _x68 ∧ x10 = _x69 ∧ x11 = _x70 ∧ x12 = _x71 ∧ _x59 = _x71 ∧ _x58 = _x70 ∧ _x57 = _x69 ∧ _x56 = _x68 ∧ _x55 = _x67 ∧ _x54 = _x66 ∧ _x53 = _x65 ∧ _x52 = _x64 ∧ _x51 = _x63 ∧ _x50 = _x62 ∧ _x49 = _x61 ∧ _x48 = _x60 ∧ 1 ≤ _x50
l3	5	l2:	x1 = _x72 ∧ x2 = _x73 ∧ x3 = _x74 ∧ x4 = _x75 ∧ x5 = _x76 ∧ x6 = _x77 ∧ x7 = _x78 ∧ x8 = _x79 ∧ x9 = _x80 ∧ x10 = _x81 ∧ x11 = _x82 ∧ x12 = _x83 ∧ x1 = _x84 ∧ x2 = _x85 ∧ x3 = _x86 ∧ x4 = _x87 ∧ x5 = _x88 ∧ x6 = _x89 ∧ x7 = _x90 ∧ x8 = _x91 ∧ x9 = _x92 ∧ x10 = _x93 ∧ x11 = _x94 ∧ x12 = _x95 ∧ _x83 = _x95 ∧ _x82 = _x94 ∧ _x81 = _x93 ∧ _x80 = _x92 ∧ _x79 = _x91 ∧ _x78 = _x90 ∧ _x77 = _x89 ∧ _x76 = _x88 ∧ _x75 = _x87 ∧ _x74 = _x86 ∧ _x73 = _x85 ∧ _x72 = _x84 ∧ 1 + _x74 ≤ 0
l4	6	l0:	x1 = _x96 ∧ x2 = _x97 ∧ x3 = _x98 ∧ x4 = _x99 ∧ x5 = _x100 ∧ x6 = _x101 ∧ x7 = _x102 ∧ x8 = _x103 ∧ x9 = _x104 ∧ x10 = _x105 ∧ x11 = _x106 ∧ x12 = _x107 ∧ x1 = _x108 ∧ x2 = _x109 ∧ x3 = _x110 ∧ x4 = _x111 ∧ x5 = _x112 ∧ x6 = _x113 ∧ x7 = _x114 ∧ x8 = _x115 ∧ x9 = _x116 ∧ x10 = _x117 ∧ x11 = _x118 ∧ x12 = _x119 ∧ _x106 = _x118 ∧ _x105 = _x117 ∧ _x104 = _x116 ∧ _x103 = _x115 ∧ _x102 = _x114 ∧ _x101 = _x113 ∧ _x100 = _x112 ∧ _x99 = _x111 ∧ _x98 = _x110 ∧ _x97 = _x109 ∧ _x96 = _x108 ∧ _x119 = 1 ∧ 0 ≤ _x96 ∧ _x96 ≤ 0
l4	7	l3:	x1 = _x120 ∧ x2 = _x121 ∧ x3 = _x122 ∧ x4 = _x123 ∧ x5 = _x124 ∧ x6 = _x125 ∧ x7 = _x126 ∧ x8 = _x127 ∧ x9 = _x128 ∧ x10 = _x129 ∧ x11 = _x130 ∧ x12 = _x131 ∧ x1 = _x132 ∧ x2 = _x133 ∧ x3 = _x134 ∧ x4 = _x135 ∧ x5 = _x136 ∧ x6 = _x137 ∧ x7 = _x138 ∧ x8 = _x139 ∧ x9 = _x140 ∧ x10 = _x141 ∧ x11 = _x142 ∧ x12 = _x143 ∧ _x131 = _x143 ∧ _x130 = _x142 ∧ _x129 = _x141 ∧ _x128 = _x140 ∧ _x127 = _x139 ∧ _x126 = _x138 ∧ _x125 = _x137 ∧ _x124 = _x136 ∧ _x123 = _x135 ∧ _x122 = _x134 ∧ _x121 = _x133 ∧ _x120 = _x132 ∧ 1 ≤ _x120
l4	8	l3:	x1 = _x144 ∧ x2 = _x145 ∧ x3 = _x146 ∧ x4 = _x147 ∧ x5 = _x148 ∧ x6 = _x149 ∧ x7 = _x150 ∧ x8 = _x151 ∧ x9 = _x152 ∧ x10 = _x153 ∧ x11 = _x154 ∧ x12 = _x155 ∧ x1 = _x156 ∧ x2 = _x157 ∧ x3 = _x158 ∧ x4 = _x159 ∧ x5 = _x160 ∧ x6 = _x161 ∧ x7 = _x162 ∧ x8 = _x163 ∧ x9 = _x164 ∧ x10 = _x165 ∧ x11 = _x166 ∧ x12 = _x167 ∧ _x155 = _x167 ∧ _x154 = _x166 ∧ _x153 = _x165 ∧ _x152 = _x164 ∧ _x151 = _x163 ∧ _x150 = _x162 ∧ _x149 = _x161 ∧ _x148 = _x160 ∧ _x147 = _x159 ∧ _x146 = _x158 ∧ _x145 = _x157 ∧ _x144 = _x156 ∧ 1 + _x144 ≤ 0
l5	9	l6:	x1 = _x168 ∧ x2 = _x169 ∧ x3 = _x170 ∧ x4 = _x171 ∧ x5 = _x172 ∧ x6 = _x173 ∧ x7 = _x174 ∧ x8 = _x175 ∧ x9 = _x176 ∧ x10 = _x177 ∧ x11 = _x178 ∧ x12 = _x179 ∧ x1 = _x180 ∧ x2 = _x181 ∧ x3 = _x182 ∧ x4 = _x183 ∧ x5 = _x184 ∧ x6 = _x185 ∧ x7 = _x186 ∧ x8 = _x187 ∧ x9 = _x188 ∧ x10 = _x189 ∧ x11 = _x190 ∧ x12 = _x191 ∧ _x179 = _x191 ∧ _x178 = _x190 ∧ _x177 = _x189 ∧ _x176 = _x188 ∧ _x175 = _x187 ∧ _x174 = _x186 ∧ _x173 = _x185 ∧ _x171 = _x183 ∧ _x169 = _x181 ∧ _x168 = _x180 ∧ _x184 = 1 + _x172 ∧ _x182 = _x178
l7	10	l5:	x1 = _x192 ∧ x2 = _x193 ∧ x3 = _x194 ∧ x4 = _x195 ∧ x5 = _x196 ∧ x6 = _x197 ∧ x7 = _x198 ∧ x8 = _x199 ∧ x9 = _x200 ∧ x10 = _x201 ∧ x11 = _x202 ∧ x12 = _x203 ∧ x1 = _x204 ∧ x2 = _x205 ∧ x3 = _x206 ∧ x4 = _x207 ∧ x5 = _x208 ∧ x6 = _x209 ∧ x7 = _x210 ∧ x8 = _x211 ∧ x9 = _x212 ∧ x10 = _x213 ∧ x11 = _x214 ∧ x12 = _x215 ∧ _x203 = _x215 ∧ _x201 = _x213 ∧ _x200 = _x212 ∧ _x199 = _x211 ∧ _x198 = _x210 ∧ _x197 = _x209 ∧ _x196 = _x208 ∧ _x195 = _x207 ∧ _x194 = _x206 ∧ _x193 = _x205 ∧ _x192 = _x204 ∧ _x214 = 1
l7	11	l5:	x1 = _x216 ∧ x2 = _x217 ∧ x3 = _x218 ∧ x4 = _x219 ∧ x5 = _x220 ∧ x6 = _x221 ∧ x7 = _x222 ∧ x8 = _x223 ∧ x9 = _x224 ∧ x10 = _x225 ∧ x11 = _x226 ∧ x12 = _x227 ∧ x1 = _x228 ∧ x2 = _x229 ∧ x3 = _x230 ∧ x4 = _x231 ∧ x5 = _x232 ∧ x6 = _x233 ∧ x7 = _x234 ∧ x8 = _x235 ∧ x9 = _x236 ∧ x10 = _x237 ∧ x11 = _x238 ∧ x12 = _x239 ∧ _x227 = _x239 ∧ _x225 = _x237 ∧ _x224 = _x236 ∧ _x223 = _x235 ∧ _x222 = _x234 ∧ _x221 = _x233 ∧ _x220 = _x232 ∧ _x219 = _x231 ∧ _x218 = _x230 ∧ _x217 = _x229 ∧ _x216 = _x228 ∧ _x238 = 0
l8	12	l5:	x1 = _x240 ∧ x2 = _x241 ∧ x3 = _x242 ∧ x4 = _x243 ∧ x5 = _x244 ∧ x6 = _x245 ∧ x7 = _x246 ∧ x8 = _x247 ∧ x9 = _x248 ∧ x10 = _x249 ∧ x11 = _x250 ∧ x12 = _x251 ∧ x1 = _x252 ∧ x2 = _x253 ∧ x3 = _x254 ∧ x4 = _x255 ∧ x5 = _x256 ∧ x6 = _x257 ∧ x7 = _x258 ∧ x8 = _x259 ∧ x9 = _x260 ∧ x10 = _x261 ∧ x11 = _x262 ∧ x12 = _x263 ∧ _x251 = _x263 ∧ _x249 = _x261 ∧ _x248 = _x260 ∧ _x247 = _x259 ∧ _x246 = _x258 ∧ _x245 = _x257 ∧ _x244 = _x256 ∧ _x243 = _x255 ∧ _x242 = _x254 ∧ _x241 = _x253 ∧ _x240 = _x252 ∧ _x262 = 0 ∧ 0 ≤ _x242 ∧ _x242 ≤ 0
l8	13	l7:	x1 = _x264 ∧ x2 = _x265 ∧ x3 = _x266 ∧ x4 = _x267 ∧ x5 = _x268 ∧ x6 = _x269 ∧ x7 = _x270 ∧ x8 = _x271 ∧ x9 = _x272 ∧ x10 = _x273 ∧ x11 = _x274 ∧ x12 = _x275 ∧ x1 = _x276 ∧ x2 = _x277 ∧ x3 = _x278 ∧ x4 = _x279 ∧ x5 = _x280 ∧ x6 = _x281 ∧ x7 = _x282 ∧ x8 = _x283 ∧ x9 = _x284 ∧ x10 = _x285 ∧ x11 = _x286 ∧ x12 = _x287 ∧ _x275 = _x287 ∧ _x274 = _x286 ∧ _x273 = _x285 ∧ _x272 = _x284 ∧ _x271 = _x283 ∧ _x270 = _x282 ∧ _x269 = _x281 ∧ _x268 = _x280 ∧ _x267 = _x279 ∧ _x266 = _x278 ∧ _x265 = _x277 ∧ _x264 = _x276 ∧ 1 ≤ _x266
l8	14	l7:	x1 = _x288 ∧ x2 = _x289 ∧ x3 = _x290 ∧ x4 = _x291 ∧ x5 = _x292 ∧ x6 = _x293 ∧ x7 = _x294 ∧ x8 = _x295 ∧ x9 = _x296 ∧ x10 = _x297 ∧ x11 = _x298 ∧ x12 = _x299 ∧ x1 = _x300 ∧ x2 = _x301 ∧ x3 = _x302 ∧ x4 = _x303 ∧ x5 = _x304 ∧ x6 = _x305 ∧ x7 = _x306 ∧ x8 = _x307 ∧ x9 = _x308 ∧ x10 = _x309 ∧ x11 = _x310 ∧ x12 = _x311 ∧ _x299 = _x311 ∧ _x298 = _x310 ∧ _x297 = _x309 ∧ _x296 = _x308 ∧ _x295 = _x307 ∧ _x294 = _x306 ∧ _x293 = _x305 ∧ _x292 = _x304 ∧ _x291 = _x303 ∧ _x290 = _x302 ∧ _x289 = _x301 ∧ _x288 = _x300 ∧ 1 + _x290 ≤ 0
l9	15	l4:	x1 = _x312 ∧ x2 = _x313 ∧ x3 = _x314 ∧ x4 = _x315 ∧ x5 = _x316 ∧ x6 = _x317 ∧ x7 = _x318 ∧ x8 = _x319 ∧ x9 = _x320 ∧ x10 = _x321 ∧ x11 = _x322 ∧ x12 = _x323 ∧ x1 = _x324 ∧ x2 = _x325 ∧ x3 = _x326 ∧ x4 = _x327 ∧ x5 = _x328 ∧ x6 = _x329 ∧ x7 = _x330 ∧ x8 = _x331 ∧ x9 = _x332 ∧ x10 = _x333 ∧ x11 = _x334 ∧ x12 = _x335 ∧ _x323 = _x335 ∧ _x322 = _x334 ∧ _x321 = _x333 ∧ _x320 = _x332 ∧ _x319 = _x331 ∧ _x318 = _x330 ∧ _x317 = _x329 ∧ _x316 = _x328 ∧ _x315 = _x327 ∧ _x314 = _x326 ∧ _x313 = _x325 ∧ _x312 = _x324 ∧ −1 + _x315 ≤ _x316
l9	16	l8:	x1 = _x336 ∧ x2 = _x337 ∧ x3 = _x338 ∧ x4 = _x339 ∧ x5 = _x340 ∧ x6 = _x341 ∧ x7 = _x342 ∧ x8 = _x343 ∧ x9 = _x344 ∧ x10 = _x345 ∧ x11 = _x346 ∧ x12 = _x347 ∧ x1 = _x348 ∧ x2 = _x349 ∧ x3 = _x350 ∧ x4 = _x351 ∧ x5 = _x352 ∧ x6 = _x353 ∧ x7 = _x354 ∧ x8 = _x355 ∧ x9 = _x356 ∧ x10 = _x357 ∧ x11 = _x358 ∧ x12 = _x359 ∧ _x347 = _x359 ∧ _x346 = _x358 ∧ _x345 = _x357 ∧ _x344 = _x356 ∧ _x343 = _x355 ∧ _x342 = _x354 ∧ _x341 = _x353 ∧ _x340 = _x352 ∧ _x339 = _x351 ∧ _x338 = _x350 ∧ _x337 = _x349 ∧ _x336 = _x348 ∧ 1 + _x340 ≤ −1 + _x339
l10	17	l11:	x1 = _x360 ∧ x2 = _x361 ∧ x3 = _x362 ∧ x4 = _x363 ∧ x5 = _x364 ∧ x6 = _x365 ∧ x7 = _x366 ∧ x8 = _x367 ∧ x9 = _x368 ∧ x10 = _x369 ∧ x11 = _x370 ∧ x12 = _x371 ∧ x1 = _x372 ∧ x2 = _x373 ∧ x3 = _x374 ∧ x4 = _x375 ∧ x5 = _x376 ∧ x6 = _x377 ∧ x7 = _x378 ∧ x8 = _x379 ∧ x9 = _x380 ∧ x10 = _x381 ∧ x11 = _x382 ∧ x12 = _x383 ∧ _x371 = _x383 ∧ _x370 = _x382 ∧ _x369 = _x381 ∧ _x368 = _x380 ∧ _x367 = _x379 ∧ _x366 = _x378 ∧ _x365 = _x377 ∧ _x364 = _x376 ∧ _x363 = _x375 ∧ _x362 = _x374 ∧ _x361 = _x373 ∧ _x360 = _x372
l12	18	l13:	x1 = _x384 ∧ x2 = _x385 ∧ x3 = _x386 ∧ x4 = _x387 ∧ x5 = _x388 ∧ x6 = _x389 ∧ x7 = _x390 ∧ x8 = _x391 ∧ x9 = _x392 ∧ x10 = _x393 ∧ x11 = _x394 ∧ x12 = _x395 ∧ x1 = _x396 ∧ x2 = _x397 ∧ x3 = _x398 ∧ x4 = _x399 ∧ x5 = _x400 ∧ x6 = _x401 ∧ x7 = _x402 ∧ x8 = _x403 ∧ x9 = _x404 ∧ x10 = _x405 ∧ x11 = _x406 ∧ x12 = _x407 ∧ _x395 = _x407 ∧ _x394 = _x406 ∧ _x393 = _x405 ∧ _x392 = _x404 ∧ _x391 = _x403 ∧ _x390 = _x402 ∧ _x389 = _x401 ∧ _x387 = _x399 ∧ _x386 = _x398 ∧ _x385 = _x397 ∧ _x400 = 1 + _x388 ∧ _x396 = _x393
l14	19	l12:	x1 = _x408 ∧ x2 = _x409 ∧ x3 = _x410 ∧ x4 = _x411 ∧ x5 = _x412 ∧ x6 = _x413 ∧ x7 = _x414 ∧ x8 = _x415 ∧ x9 = _x416 ∧ x10 = _x417 ∧ x11 = _x418 ∧ x12 = _x419 ∧ x1 = _x420 ∧ x2 = _x421 ∧ x3 = _x422 ∧ x4 = _x423 ∧ x5 = _x424 ∧ x6 = _x425 ∧ x7 = _x426 ∧ x8 = _x427 ∧ x9 = _x428 ∧ x10 = _x429 ∧ x11 = _x430 ∧ x12 = _x431 ∧ _x419 = _x431 ∧ _x418 = _x430 ∧ _x416 = _x428 ∧ _x415 = _x427 ∧ _x414 = _x426 ∧ _x413 = _x425 ∧ _x412 = _x424 ∧ _x411 = _x423 ∧ _x410 = _x422 ∧ _x409 = _x421 ∧ _x408 = _x420 ∧ _x429 = 1
l15	20	l12:	x1 = _x432 ∧ x2 = _x433 ∧ x3 = _x434 ∧ x4 = _x435 ∧ x5 = _x436 ∧ x6 = _x437 ∧ x7 = _x438 ∧ x8 = _x439 ∧ x9 = _x440 ∧ x10 = _x441 ∧ x11 = _x442 ∧ x12 = _x443 ∧ x1 = _x444 ∧ x2 = _x445 ∧ x3 = _x446 ∧ x4 = _x447 ∧ x5 = _x448 ∧ x6 = _x449 ∧ x7 = _x450 ∧ x8 = _x451 ∧ x9 = _x452 ∧ x10 = _x453 ∧ x11 = _x454 ∧ x12 = _x455 ∧ _x443 = _x455 ∧ _x442 = _x454 ∧ _x440 = _x452 ∧ _x439 = _x451 ∧ _x438 = _x450 ∧ _x437 = _x449 ∧ _x436 = _x448 ∧ _x435 = _x447 ∧ _x434 = _x446 ∧ _x433 = _x445 ∧ _x432 = _x444 ∧ _x453 = 0 ∧ 0 ≤ _x433 ∧ _x433 ≤ 0
l15	21	l14:	x1 = _x456 ∧ x2 = _x457 ∧ x3 = _x458 ∧ x4 = _x459 ∧ x5 = _x460 ∧ x6 = _x461 ∧ x7 = _x462 ∧ x8 = _x463 ∧ x9 = _x464 ∧ x10 = _x465 ∧ x11 = _x466 ∧ x12 = _x467 ∧ x1 = _x468 ∧ x2 = _x469 ∧ x3 = _x470 ∧ x4 = _x471 ∧ x5 = _x472 ∧ x6 = _x473 ∧ x7 = _x474 ∧ x8 = _x475 ∧ x9 = _x476 ∧ x10 = _x477 ∧ x11 = _x478 ∧ x12 = _x479 ∧ _x467 = _x479 ∧ _x466 = _x478 ∧ _x465 = _x477 ∧ _x464 = _x476 ∧ _x463 = _x475 ∧ _x462 = _x474 ∧ _x461 = _x473 ∧ _x460 = _x472 ∧ _x459 = _x471 ∧ _x458 = _x470 ∧ _x457 = _x469 ∧ _x456 = _x468 ∧ 1 ≤ _x457
l15	22	l14:	x1 = _x480 ∧ x2 = _x481 ∧ x3 = _x482 ∧ x4 = _x483 ∧ x5 = _x484 ∧ x6 = _x485 ∧ x7 = _x486 ∧ x8 = _x487 ∧ x9 = _x488 ∧ x10 = _x489 ∧ x11 = _x490 ∧ x12 = _x491 ∧ x1 = _x492 ∧ x2 = _x493 ∧ x3 = _x494 ∧ x4 = _x495 ∧ x5 = _x496 ∧ x6 = _x497 ∧ x7 = _x498 ∧ x8 = _x499 ∧ x9 = _x500 ∧ x10 = _x501 ∧ x11 = _x502 ∧ x12 = _x503 ∧ _x491 = _x503 ∧ _x490 = _x502 ∧ _x489 = _x501 ∧ _x488 = _x500 ∧ _x487 = _x499 ∧ _x486 = _x498 ∧ _x485 = _x497 ∧ _x484 = _x496 ∧ _x483 = _x495 ∧ _x482 = _x494 ∧ _x481 = _x493 ∧ _x480 = _x492 ∧ 1 + _x481 ≤ 0
l16	23	l12:	x1 = _x504 ∧ x2 = _x505 ∧ x3 = _x506 ∧ x4 = _x507 ∧ x5 = _x508 ∧ x6 = _x509 ∧ x7 = _x510 ∧ x8 = _x511 ∧ x9 = _x512 ∧ x10 = _x513 ∧ x11 = _x514 ∧ x12 = _x515 ∧ x1 = _x516 ∧ x2 = _x517 ∧ x3 = _x518 ∧ x4 = _x519 ∧ x5 = _x520 ∧ x6 = _x521 ∧ x7 = _x522 ∧ x8 = _x523 ∧ x9 = _x524 ∧ x10 = _x525 ∧ x11 = _x526 ∧ x12 = _x527 ∧ _x515 = _x527 ∧ _x514 = _x526 ∧ _x512 = _x524 ∧ _x511 = _x523 ∧ _x510 = _x522 ∧ _x509 = _x521 ∧ _x508 = _x520 ∧ _x507 = _x519 ∧ _x506 = _x518 ∧ _x505 = _x517 ∧ _x504 = _x516 ∧ _x525 = 0 ∧ 0 ≤ _x504 ∧ _x504 ≤ 0
l16	24	l15:	x1 = _x528 ∧ x2 = _x529 ∧ x3 = _x530 ∧ x4 = _x531 ∧ x5 = _x532 ∧ x6 = _x533 ∧ x7 = _x534 ∧ x8 = _x535 ∧ x9 = _x536 ∧ x10 = _x537 ∧ x11 = _x538 ∧ x12 = _x539 ∧ x1 = _x540 ∧ x2 = _x541 ∧ x3 = _x542 ∧ x4 = _x543 ∧ x5 = _x544 ∧ x6 = _x545 ∧ x7 = _x546 ∧ x8 = _x547 ∧ x9 = _x548 ∧ x10 = _x549 ∧ x11 = _x550 ∧ x12 = _x551 ∧ _x539 = _x551 ∧ _x538 = _x550 ∧ _x537 = _x549 ∧ _x536 = _x548 ∧ _x535 = _x547 ∧ _x534 = _x546 ∧ _x533 = _x545 ∧ _x532 = _x544 ∧ _x531 = _x543 ∧ _x530 = _x542 ∧ _x529 = _x541 ∧ _x528 = _x540 ∧ 1 ≤ _x528
l16	25	l15:	x1 = _x552 ∧ x2 = _x553 ∧ x3 = _x554 ∧ x4 = _x555 ∧ x5 = _x556 ∧ x6 = _x557 ∧ x7 = _x558 ∧ x8 = _x559 ∧ x9 = _x560 ∧ x10 = _x561 ∧ x11 = _x562 ∧ x12 = _x563 ∧ x1 = _x564 ∧ x2 = _x565 ∧ x3 = _x566 ∧ x4 = _x567 ∧ x5 = _x568 ∧ x6 = _x569 ∧ x7 = _x570 ∧ x8 = _x571 ∧ x9 = _x572 ∧ x10 = _x573 ∧ x11 = _x574 ∧ x12 = _x575 ∧ _x563 = _x575 ∧ _x562 = _x574 ∧ _x561 = _x573 ∧ _x560 = _x572 ∧ _x559 = _x571 ∧ _x558 = _x570 ∧ _x557 = _x569 ∧ _x556 = _x568 ∧ _x555 = _x567 ∧ _x554 = _x566 ∧ _x553 = _x565 ∧ _x552 = _x564 ∧ 1 + _x552 ≤ 0
l17	26	l18:	x1 = _x576 ∧ x2 = _x577 ∧ x3 = _x578 ∧ x4 = _x579 ∧ x5 = _x580 ∧ x6 = _x581 ∧ x7 = _x582 ∧ x8 = _x583 ∧ x9 = _x584 ∧ x10 = _x585 ∧ x11 = _x586 ∧ x12 = _x587 ∧ x1 = _x588 ∧ x2 = _x589 ∧ x3 = _x590 ∧ x4 = _x591 ∧ x5 = _x592 ∧ x6 = _x593 ∧ x7 = _x594 ∧ x8 = _x595 ∧ x9 = _x596 ∧ x10 = _x597 ∧ x11 = _x598 ∧ x12 = _x599 ∧ _x587 = _x599 ∧ _x586 = _x598 ∧ _x585 = _x597 ∧ _x583 = _x595 ∧ _x582 = _x594 ∧ _x581 = _x593 ∧ _x580 = _x592 ∧ _x579 = _x591 ∧ _x578 = _x590 ∧ _x577 = _x589 ∧ _x576 = _x588 ∧ _x596 = 0
l13	27	l19:	x1 = _x600 ∧ x2 = _x601 ∧ x3 = _x602 ∧ x4 = _x603 ∧ x5 = _x604 ∧ x6 = _x605 ∧ x7 = _x606 ∧ x8 = _x607 ∧ x9 = _x608 ∧ x10 = _x609 ∧ x11 = _x610 ∧ x12 = _x611 ∧ x1 = _x612 ∧ x2 = _x613 ∧ x3 = _x614 ∧ x4 = _x615 ∧ x5 = _x616 ∧ x6 = _x617 ∧ x7 = _x618 ∧ x8 = _x619 ∧ x9 = _x620 ∧ x10 = _x621 ∧ x11 = _x622 ∧ x12 = _x623 ∧ _x611 = _x623 ∧ _x610 = _x622 ∧ _x609 = _x621 ∧ _x608 = _x620 ∧ _x607 = _x619 ∧ _x606 = _x618 ∧ _x605 = _x617 ∧ _x604 = _x616 ∧ _x603 = _x615 ∧ _x602 = _x614 ∧ _x601 = _x613 ∧ _x600 = _x612
l20	28	l17:	x1 = _x624 ∧ x2 = _x625 ∧ x3 = _x626 ∧ x4 = _x627 ∧ x5 = _x628 ∧ x6 = _x629 ∧ x7 = _x630 ∧ x8 = _x631 ∧ x9 = _x632 ∧ x10 = _x633 ∧ x11 = _x634 ∧ x12 = _x635 ∧ x1 = _x636 ∧ x2 = _x637 ∧ x3 = _x638 ∧ x4 = _x639 ∧ x5 = _x640 ∧ x6 = _x641 ∧ x7 = _x642 ∧ x8 = _x643 ∧ x9 = _x644 ∧ x10 = _x645 ∧ x11 = _x646 ∧ x12 = _x647 ∧ _x635 = _x647 ∧ _x634 = _x646 ∧ _x633 = _x645 ∧ _x632 = _x644 ∧ _x631 = _x643 ∧ _x630 = _x642 ∧ _x629 = _x641 ∧ _x628 = _x640 ∧ _x627 = _x639 ∧ _x626 = _x638 ∧ _x625 = _x637 ∧ _x624 = _x636
l20	29	l18:	x1 = _x648 ∧ x2 = _x649 ∧ x3 = _x650 ∧ x4 = _x651 ∧ x5 = _x652 ∧ x6 = _x653 ∧ x7 = _x654 ∧ x8 = _x655 ∧ x9 = _x656 ∧ x10 = _x657 ∧ x11 = _x658 ∧ x12 = _x659 ∧ x1 = _x660 ∧ x2 = _x661 ∧ x3 = _x662 ∧ x4 = _x663 ∧ x5 = _x664 ∧ x6 = _x665 ∧ x7 = _x666 ∧ x8 = _x667 ∧ x9 = _x668 ∧ x10 = _x669 ∧ x11 = _x670 ∧ x12 = _x671 ∧ _x659 = _x671 ∧ _x658 = _x670 ∧ _x657 = _x669 ∧ _x655 = _x667 ∧ _x654 = _x666 ∧ _x653 = _x665 ∧ _x652 = _x664 ∧ _x651 = _x663 ∧ _x650 = _x662 ∧ _x649 = _x661 ∧ _x648 = _x660 ∧ _x668 = 1
l18	30	l21:	x1 = _x672 ∧ x2 = _x673 ∧ x3 = _x674 ∧ x4 = _x675 ∧ x5 = _x676 ∧ x6 = _x677 ∧ x7 = _x678 ∧ x8 = _x679 ∧ x9 = _x680 ∧ x10 = _x681 ∧ x11 = _x682 ∧ x12 = _x683 ∧ x1 = _x684 ∧ x2 = _x685 ∧ x3 = _x686 ∧ x4 = _x687 ∧ x5 = _x688 ∧ x6 = _x689 ∧ x7 = _x690 ∧ x8 = _x691 ∧ x9 = _x692 ∧ x10 = _x693 ∧ x11 = _x694 ∧ x12 = _x695 ∧ _x683 = _x695 ∧ _x682 = _x694 ∧ _x681 = _x693 ∧ _x680 = _x692 ∧ _x679 = _x691 ∧ _x678 = _x690 ∧ _x676 = _x688 ∧ _x675 = _x687 ∧ _x674 = _x686 ∧ _x672 = _x684 ∧ _x689 = 1 + _x677 ∧ _x685 = _x680
l22	31	l18:	x1 = _x696 ∧ x2 = _x697 ∧ x3 = _x698 ∧ x4 = _x699 ∧ x5 = _x700 ∧ x6 = _x701 ∧ x7 = _x702 ∧ x8 = _x703 ∧ x9 = _x704 ∧ x10 = _x705 ∧ x11 = _x706 ∧ x12 = _x707 ∧ x1 = _x708 ∧ x2 = _x709 ∧ x3 = _x710 ∧ x4 = _x711 ∧ x5 = _x712 ∧ x6 = _x713 ∧ x7 = _x714 ∧ x8 = _x715 ∧ x9 = _x716 ∧ x10 = _x717 ∧ x11 = _x718 ∧ x12 = _x719 ∧ _x707 = _x719 ∧ _x706 = _x718 ∧ _x705 = _x717 ∧ _x703 = _x715 ∧ _x702 = _x714 ∧ _x701 = _x713 ∧ _x700 = _x712 ∧ _x699 = _x711 ∧ _x698 = _x710 ∧ _x697 = _x709 ∧ _x696 = _x708 ∧ _x716 = 1
l23	32	l20:	x1 = _x720 ∧ x2 = _x721 ∧ x3 = _x722 ∧ x4 = _x723 ∧ x5 = _x724 ∧ x6 = _x725 ∧ x7 = _x726 ∧ x8 = _x727 ∧ x9 = _x728 ∧ x10 = _x729 ∧ x11 = _x730 ∧ x12 = _x731 ∧ x1 = _x732 ∧ x2 = _x733 ∧ x3 = _x734 ∧ x4 = _x735 ∧ x5 = _x736 ∧ x6 = _x737 ∧ x7 = _x738 ∧ x8 = _x739 ∧ x9 = _x740 ∧ x10 = _x741 ∧ x11 = _x742 ∧ x12 = _x743 ∧ _x731 = _x743 ∧ _x730 = _x742 ∧ _x729 = _x741 ∧ _x728 = _x740 ∧ _x727 = _x739 ∧ _x726 = _x738 ∧ _x725 = _x737 ∧ _x724 = _x736 ∧ _x723 = _x735 ∧ _x722 = _x734 ∧ _x721 = _x733 ∧ _x720 = _x732 ∧ 0 ≤ _x721 ∧ _x721 ≤ 0
l23	33	l22:	x1 = _x744 ∧ x2 = _x745 ∧ x3 = _x746 ∧ x4 = _x747 ∧ x5 = _x748 ∧ x6 = _x749 ∧ x7 = _x750 ∧ x8 = _x751 ∧ x9 = _x752 ∧ x10 = _x753 ∧ x11 = _x754 ∧ x12 = _x755 ∧ x1 = _x756 ∧ x2 = _x757 ∧ x3 = _x758 ∧ x4 = _x759 ∧ x5 = _x760 ∧ x6 = _x761 ∧ x7 = _x762 ∧ x8 = _x763 ∧ x9 = _x764 ∧ x10 = _x765 ∧ x11 = _x766 ∧ x12 = _x767 ∧ _x755 = _x767 ∧ _x754 = _x766 ∧ _x753 = _x765 ∧ _x752 = _x764 ∧ _x751 = _x763 ∧ _x750 = _x762 ∧ _x749 = _x761 ∧ _x748 = _x760 ∧ _x747 = _x759 ∧ _x746 = _x758 ∧ _x745 = _x757 ∧ _x744 = _x756 ∧ 1 ≤ _x745
l23	34	l22:	x1 = _x768 ∧ x2 = _x769 ∧ x3 = _x770 ∧ x4 = _x771 ∧ x5 = _x772 ∧ x6 = _x773 ∧ x7 = _x774 ∧ x8 = _x775 ∧ x9 = _x776 ∧ x10 = _x777 ∧ x11 = _x778 ∧ x12 = _x779 ∧ x1 = _x780 ∧ x2 = _x781 ∧ x3 = _x782 ∧ x4 = _x783 ∧ x5 = _x784 ∧ x6 = _x785 ∧ x7 = _x786 ∧ x8 = _x787 ∧ x9 = _x788 ∧ x10 = _x789 ∧ x11 = _x790 ∧ x12 = _x791 ∧ _x779 = _x791 ∧ _x778 = _x790 ∧ _x777 = _x789 ∧ _x776 = _x788 ∧ _x775 = _x787 ∧ _x774 = _x786 ∧ _x773 = _x785 ∧ _x772 = _x784 ∧ _x771 = _x783 ∧ _x770 = _x782 ∧ _x769 = _x781 ∧ _x768 = _x780 ∧ 1 + _x769 ≤ 0
l24	35	l16:	x1 = _x792 ∧ x2 = _x793 ∧ x3 = _x794 ∧ x4 = _x795 ∧ x5 = _x796 ∧ x6 = _x797 ∧ x7 = _x798 ∧ x8 = _x799 ∧ x9 = _x800 ∧ x10 = _x801 ∧ x11 = _x802 ∧ x12 = _x803 ∧ x1 = _x804 ∧ x2 = _x805 ∧ x3 = _x806 ∧ x4 = _x807 ∧ x5 = _x808 ∧ x6 = _x809 ∧ x7 = _x810 ∧ x8 = _x811 ∧ x9 = _x812 ∧ x10 = _x813 ∧ x11 = _x814 ∧ x12 = _x815 ∧ _x803 = _x815 ∧ _x802 = _x814 ∧ _x801 = _x813 ∧ _x800 = _x812 ∧ _x799 = _x811 ∧ _x798 = _x810 ∧ _x797 = _x809 ∧ _x796 = _x808 ∧ _x795 = _x807 ∧ _x794 = _x806 ∧ _x793 = _x805 ∧ _x792 = _x804 ∧ _x795 ≤ _x797
l24	36	l23:	x1 = _x816 ∧ x2 = _x817 ∧ x3 = _x818 ∧ x4 = _x819 ∧ x5 = _x820 ∧ x6 = _x821 ∧ x7 = _x822 ∧ x8 = _x823 ∧ x9 = _x824 ∧ x10 = _x825 ∧ x11 = _x826 ∧ x12 = _x827 ∧ x1 = _x828 ∧ x2 = _x829 ∧ x3 = _x830 ∧ x4 = _x831 ∧ x5 = _x832 ∧ x6 = _x833 ∧ x7 = _x834 ∧ x8 = _x835 ∧ x9 = _x836 ∧ x10 = _x837 ∧ x11 = _x838 ∧ x12 = _x839 ∧ _x827 = _x839 ∧ _x826 = _x838 ∧ _x825 = _x837 ∧ _x824 = _x836 ∧ _x823 = _x835 ∧ _x822 = _x834 ∧ _x821 = _x833 ∧ _x820 = _x832 ∧ _x819 = _x831 ∧ _x818 = _x830 ∧ _x817 = _x829 ∧ _x816 = _x828 ∧ 1 + _x821 ≤ _x819
l21	37	l24:	x1 = _x840 ∧ x2 = _x841 ∧ x3 = _x842 ∧ x4 = _x843 ∧ x5 = _x844 ∧ x6 = _x845 ∧ x7 = _x846 ∧ x8 = _x847 ∧ x9 = _x848 ∧ x10 = _x849 ∧ x11 = _x850 ∧ x12 = _x851 ∧ x1 = _x852 ∧ x2 = _x853 ∧ x3 = _x854 ∧ x4 = _x855 ∧ x5 = _x856 ∧ x6 = _x857 ∧ x7 = _x858 ∧ x8 = _x859 ∧ x9 = _x860 ∧ x10 = _x861 ∧ x11 = _x862 ∧ x12 = _x863 ∧ _x851 = _x863 ∧ _x850 = _x862 ∧ _x849 = _x861 ∧ _x848 = _x860 ∧ _x847 = _x859 ∧ _x846 = _x858 ∧ _x845 = _x857 ∧ _x844 = _x856 ∧ _x843 = _x855 ∧ _x842 = _x854 ∧ _x841 = _x853 ∧ _x840 = _x852
l19	38	l6:	x1 = _x864 ∧ x2 = _x865 ∧ x3 = _x866 ∧ x4 = _x867 ∧ x5 = _x868 ∧ x6 = _x869 ∧ x7 = _x870 ∧ x8 = _x871 ∧ x9 = _x872 ∧ x10 = _x873 ∧ x11 = _x874 ∧ x12 = _x875 ∧ x1 = _x876 ∧ x2 = _x877 ∧ x3 = _x878 ∧ x4 = _x879 ∧ x5 = _x880 ∧ x6 = _x881 ∧ x7 = _x882 ∧ x8 = _x883 ∧ x9 = _x884 ∧ x10 = _x885 ∧ x11 = _x886 ∧ x12 = _x887 ∧ _x875 = _x887 ∧ _x874 = _x886 ∧ _x873 = _x885 ∧ _x872 = _x884 ∧ _x871 = _x883 ∧ _x870 = _x882 ∧ _x869 = _x881 ∧ _x867 = _x879 ∧ _x866 = _x878 ∧ _x865 = _x877 ∧ _x864 = _x876 ∧ _x880 = 0 ∧ _x867 ≤ _x868
l19	39	l21:	x1 = _x888 ∧ x2 = _x889 ∧ x3 = _x890 ∧ x4 = _x891 ∧ x5 = _x892 ∧ x6 = _x893 ∧ x7 = _x894 ∧ x8 = _x895 ∧ x9 = _x896 ∧ x10 = _x897 ∧ x11 = _x898 ∧ x12 = _x899 ∧ x1 = _x900 ∧ x2 = _x901 ∧ x3 = _x902 ∧ x4 = _x903 ∧ x5 = _x904 ∧ x6 = _x905 ∧ x7 = _x906 ∧ x8 = _x907 ∧ x9 = _x908 ∧ x10 = _x909 ∧ x11 = _x910 ∧ x12 = _x911 ∧ _x899 = _x911 ∧ _x898 = _x910 ∧ _x897 = _x909 ∧ _x896 = _x908 ∧ _x895 = _x907 ∧ _x894 = _x906 ∧ _x892 = _x904 ∧ _x891 = _x903 ∧ _x890 = _x902 ∧ _x888 = _x900 ∧ _x905 = 0 ∧ _x901 = 0 ∧ 1 + _x892 ≤ _x891
l11	40	l13:	x1 = _x912 ∧ x2 = _x913 ∧ x3 = _x914 ∧ x4 = _x915 ∧ x5 = _x916 ∧ x6 = _x917 ∧ x7 = _x918 ∧ x8 = _x919 ∧ x9 = _x920 ∧ x10 = _x921 ∧ x11 = _x922 ∧ x12 = _x923 ∧ x1 = _x924 ∧ x2 = _x925 ∧ x3 = _x926 ∧ x4 = _x927 ∧ x5 = _x928 ∧ x6 = _x929 ∧ x7 = _x930 ∧ x8 = _x931 ∧ x9 = _x932 ∧ x10 = _x933 ∧ x11 = _x934 ∧ x12 = _x935 ∧ _x923 = _x935 ∧ _x922 = _x934 ∧ _x921 = _x933 ∧ _x920 = _x932 ∧ _x919 = _x931 ∧ _x918 = _x930 ∧ _x917 = _x929 ∧ _x915 = _x927 ∧ _x914 = _x926 ∧ _x913 = _x925 ∧ _x912 = _x924 ∧ _x928 = 0 ∧ _x915 ≤ _x916
l11	41	l10:	x1 = _x936 ∧ x2 = _x937 ∧ x3 = _x938 ∧ x4 = _x939 ∧ x5 = _x940 ∧ x6 = _x941 ∧ x7 = _x942 ∧ x8 = _x943 ∧ x9 = _x944 ∧ x10 = _x945 ∧ x11 = _x946 ∧ x12 = _x947 ∧ x1 = _x948 ∧ x2 = _x949 ∧ x3 = _x950 ∧ x4 = _x951 ∧ x5 = _x952 ∧ x6 = _x953 ∧ x7 = _x954 ∧ x8 = _x955 ∧ x9 = _x956 ∧ x10 = _x957 ∧ x11 = _x958 ∧ x12 = _x959 ∧ _x947 = _x959 ∧ _x946 = _x958 ∧ _x945 = _x957 ∧ _x944 = _x956 ∧ _x943 = _x955 ∧ _x942 = _x954 ∧ _x941 = _x953 ∧ _x939 = _x951 ∧ _x938 = _x950 ∧ _x937 = _x949 ∧ _x936 = _x948 ∧ _x952 = 1 + _x940 ∧ 1 + _x940 ≤ _x939
l6	42	l9:	x1 = _x960 ∧ x2 = _x961 ∧ x3 = _x962 ∧ x4 = _x963 ∧ x5 = _x964 ∧ x6 = _x965 ∧ x7 = _x966 ∧ x8 = _x967 ∧ x9 = _x968 ∧ x10 = _x969 ∧ x11 = _x970 ∧ x12 = _x971 ∧ x1 = _x972 ∧ x2 = _x973 ∧ x3 = _x974 ∧ x4 = _x975 ∧ x5 = _x976 ∧ x6 = _x977 ∧ x7 = _x978 ∧ x8 = _x979 ∧ x9 = _x980 ∧ x10 = _x981 ∧ x11 = _x982 ∧ x12 = _x983 ∧ _x971 = _x983 ∧ _x970 = _x982 ∧ _x969 = _x981 ∧ _x968 = _x980 ∧ _x967 = _x979 ∧ _x966 = _x978 ∧ _x965 = _x977 ∧ _x964 = _x976 ∧ _x963 = _x975 ∧ _x962 = _x974 ∧ _x961 = _x973 ∧ _x960 = _x972
l25	43	l10:	x1 = _x984 ∧ x2 = _x985 ∧ x3 = _x986 ∧ x4 = _x987 ∧ x5 = _x988 ∧ x6 = _x989 ∧ x7 = _x990 ∧ x8 = _x991 ∧ x9 = _x992 ∧ x10 = _x993 ∧ x11 = _x994 ∧ x12 = _x995 ∧ x1 = _x996 ∧ x2 = _x997 ∧ x3 = _x998 ∧ x4 = _x999 ∧ x5 = _x1000 ∧ x6 = _x1001 ∧ x7 = _x1002 ∧ x8 = _x1003 ∧ x9 = _x1004 ∧ x10 = _x1005 ∧ x11 = _x1006 ∧ x12 = _x1007 ∧ _x995 = _x1007 ∧ _x994 = _x1006 ∧ _x993 = _x1005 ∧ _x992 = _x1004 ∧ _x989 = _x1001 ∧ _x985 = _x997 ∧ _x1000 = 0 ∧ _x1003 = _x1003 ∧ _x1002 = _x1002 ∧ _x999 = 10 ∧ _x998 = 1 ∧ _x996 = 1
l26	44	l25:	x1 = _x1008 ∧ x2 = _x1009 ∧ x3 = _x1010 ∧ x4 = _x1011 ∧ x5 = _x1012 ∧ x6 = _x1013 ∧ x7 = _x1014 ∧ x8 = _x1015 ∧ x9 = _x1016 ∧ x10 = _x1017 ∧ x11 = _x1018 ∧ x12 = _x1019 ∧ x1 = _x1020 ∧ x2 = _x1021 ∧ x3 = _x1022 ∧ x4 = _x1023 ∧ x5 = _x1024 ∧ x6 = _x1025 ∧ x7 = _x1026 ∧ x8 = _x1027 ∧ x9 = _x1028 ∧ x10 = _x1029 ∧ x11 = _x1030 ∧ x12 = _x1031 ∧ _x1019 = _x1031 ∧ _x1018 = _x1030 ∧ _x1017 = _x1029 ∧ _x1016 = _x1028 ∧ _x1015 = _x1027 ∧ _x1014 = _x1026 ∧ _x1013 = _x1025 ∧ _x1012 = _x1024 ∧ _x1011 = _x1023 ∧ _x1010 = _x1022 ∧ _x1009 = _x1021 ∧ _x1008 = _x1020

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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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

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 { l10, l11 }.

2.1.1 Transition Removal

We remove transition 41 using the following ranking functions, which are bounded by 0.

l10:	−1 + x4 − x5
l11:	−1 + x4 − x5

2.1.2 Transition Removal

We remove transition 17 using the following ranking functions, which are bounded by 0.

l10:	0
l11:	−1

2.1.3 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 { l22, l24, l13, l20, l18, l17, l21, l14, l23, l16, l15, l12, l19 }.

2.2.1 Transition Removal

We remove transition 39 using the following ranking functions, which are bounded by 0.

l13:	−1 + x4 − x5
l19:	−1 + x4 − x5
l12:	−2 + x4 − x5
l16:	−2 + x4 − x5
l15:	−2 + x4 − x5
l14:	−2 + x4 − x5
l24:	−2 + x4 − x5
l21:	−2 + x4 − x5
l18:	−2 + x4 − x5
l22:	−2 + x4 − x5
l23:	−2 + x4 − x5
l20:	−2 + x4 − x5
l17:	−2 + x4 − x5

2.2.2 Transition Removal

We remove transitions 27, 18, 23, 20, 19, 22, 21, 25, 24, 35 using the following ranking functions, which are bounded by 0.

l13:	1
l19:	0
l12:	2
l16:	5
l15:	4
l14:	3
l24:	6
l21:	6
l18:	6
l22:	6
l23:	6
l20:	6
l17:	6

2.2.3 Transition Removal

We remove transition 36 using the following ranking functions, which are bounded by 0.

l21:	−1 + x4 − x6
l24:	−1 + x4 − x6
l18:	−2 + x4 − x6
l22:	−2 + x4 − x6
l23:	−2 + x4 − x6
l20:	−2 + x4 − x6
l17:	−2 + x4 − x6

2.2.4 Transition Removal

We remove transitions 37, 30, 31, 34, 33, 29, 26, 28, 32 using the following ranking functions, which are bounded by 0.

l21:	0
l24:	−1
l18:	1
l22:	3
l23:	4
l20:	3
l17:	2

2.2.5 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 { l5, l7, l6, l8, l9 }.

2.3.1 Transition Removal

We remove transition 16 using the following ranking functions, which are bounded by 0.

l5:	6⋅x4 − 6⋅x5 − 4
l6:	6⋅x4 − 6⋅x5 + 1
l8:	6⋅x4 − 6⋅x5 − 1
l7:	6⋅x4 − 6⋅x5 − 2
l9:	−6⋅x5 + 6⋅x4

2.3.2 Transition Removal

We remove transitions 9, 12, 11, 10, 14, 13, 42 using the following ranking functions, which are bounded by 0.

l5:	2
l6:	1
l8:	4
l7:	3
l9:	0

2.3.3 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 % (15 real / 0 unknown / 0 assumptions / 15 total proof steps)