# LTS Termination Proof

by AProVE

## Input

Integer Transition System
• Initial Location: l5, l7, l11, l1, l13, l18, l17, l2, l9, l14, l4, l6, l10, l8, l15, l16, l0, l12, l19
• Transitions: (pre-variables and post-variables)  l0 1 l1: x1 = ___const_100HAT0 ∧ x2 = ___len21HAT0 ∧ x3 = _ret_my_malloc10HAT0 ∧ x4 = _ret_my_malloc14HAT0 ∧ x5 = _retvalHAT0 ∧ x6 = _size11HAT0 ∧ x7 = _size15HAT0 ∧ x8 = _size17HAT0 ∧ x9 = _size7HAT0 ∧ x10 = _tmp13HAT0 ∧ x11 = _tmp22HAT0 ∧ x12 = _tmp9HAT0 ∧ x13 = _tmpHAT0 ∧ x14 = _tmp___0HAT0 ∧ x15 = _tmp___1HAT0 ∧ x1 = ___const_100HATpost ∧ x2 = ___len21HATpost ∧ x3 = _ret_my_malloc10HATpost ∧ x4 = _ret_my_malloc14HATpost ∧ x5 = _retvalHATpost ∧ x6 = _size11HATpost ∧ x7 = _size15HATpost ∧ x8 = _size17HATpost ∧ x9 = _size7HATpost ∧ x10 = _tmp13HATpost ∧ x11 = _tmp22HATpost ∧ x12 = _tmp9HATpost ∧ x13 = _tmpHATpost ∧ x14 = _tmp___0HATpost ∧ x15 = _tmp___1HATpost ∧ _tmp___1HAT0 = _tmp___1HATpost ∧ _tmp___0HAT0 = _tmp___0HATpost ∧ _tmp9HAT0 = _tmp9HATpost ∧ _tmp22HAT0 = _tmp22HATpost ∧ _tmp13HAT0 = _tmp13HATpost ∧ _tmpHAT0 = _tmpHATpost ∧ _size7HAT0 = _size7HATpost ∧ _size17HAT0 = _size17HATpost ∧ _size15HAT0 = _size15HATpost ∧ _size11HAT0 = _size11HATpost ∧ _retvalHAT0 = _retvalHATpost ∧ _ret_my_malloc14HAT0 = _ret_my_malloc14HATpost ∧ ___len21HAT0 = ___len21HATpost ∧ ___const_100HAT0 = ___const_100HATpost ∧ _ret_my_malloc10HATpost = 0 l0 2 l1: 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 ∧ x1 = _x15 ∧ x2 = _x16 ∧ x3 = _x17 ∧ x4 = _x18 ∧ x5 = _x19 ∧ x6 = _x20 ∧ x7 = _x21 ∧ x8 = _x22 ∧ x9 = _x23 ∧ x10 = _x24 ∧ x11 = _x25 ∧ x12 = _x26 ∧ x13 = _x27 ∧ x14 = _x28 ∧ x15 = _x29 ∧ _x14 = _x29 ∧ _x13 = _x28 ∧ _x11 = _x26 ∧ _x10 = _x25 ∧ _x9 = _x24 ∧ _x12 = _x27 ∧ _x8 = _x23 ∧ _x7 = _x22 ∧ _x6 = _x21 ∧ _x5 = _x20 ∧ _x4 = _x19 ∧ _x3 = _x18 ∧ _x1 = _x16 ∧ _x = _x15 ∧ _x17 = 1 l2 3 l3: x1 = _x30 ∧ x2 = _x31 ∧ x3 = _x32 ∧ x4 = _x33 ∧ x5 = _x34 ∧ x6 = _x35 ∧ x7 = _x36 ∧ x8 = _x37 ∧ x9 = _x38 ∧ x10 = _x39 ∧ x11 = _x40 ∧ x12 = _x41 ∧ x13 = _x42 ∧ x14 = _x43 ∧ x15 = _x44 ∧ x1 = _x45 ∧ x2 = _x46 ∧ x3 = _x47 ∧ x4 = _x48 ∧ x5 = _x49 ∧ x6 = _x50 ∧ x7 = _x51 ∧ x8 = _x52 ∧ x9 = _x53 ∧ x10 = _x54 ∧ x11 = _x55 ∧ x12 = _x56 ∧ x13 = _x57 ∧ x14 = _x58 ∧ x15 = _x59 ∧ _x44 = _x59 ∧ _x43 = _x58 ∧ _x41 = _x56 ∧ _x40 = _x55 ∧ _x39 = _x54 ∧ _x42 = _x57 ∧ _x38 = _x53 ∧ _x37 = _x52 ∧ _x36 = _x51 ∧ _x35 = _x50 ∧ _x34 = _x49 ∧ _x33 = _x48 ∧ _x32 = _x47 ∧ _x31 = _x46 ∧ _x30 = _x45 l4 4 l2: x1 = _x60 ∧ x2 = _x61 ∧ x3 = _x62 ∧ x4 = _x63 ∧ x5 = _x64 ∧ x6 = _x65 ∧ x7 = _x66 ∧ x8 = _x67 ∧ x9 = _x68 ∧ x10 = _x69 ∧ x11 = _x70 ∧ x12 = _x71 ∧ x13 = _x72 ∧ x14 = _x73 ∧ x15 = _x74 ∧ x1 = _x75 ∧ x2 = _x76 ∧ x3 = _x77 ∧ x4 = _x78 ∧ x5 = _x79 ∧ x6 = _x80 ∧ x7 = _x81 ∧ x8 = _x82 ∧ x9 = _x83 ∧ x10 = _x84 ∧ x11 = _x85 ∧ x12 = _x86 ∧ x13 = _x87 ∧ x14 = _x88 ∧ x15 = _x89 ∧ _x74 = _x89 ∧ _x71 = _x86 ∧ _x70 = _x85 ∧ _x69 = _x84 ∧ _x72 = _x87 ∧ _x68 = _x83 ∧ _x67 = _x82 ∧ _x66 = _x81 ∧ _x65 = _x80 ∧ _x64 = _x79 ∧ _x63 = _x78 ∧ _x62 = _x77 ∧ _x61 = _x76 ∧ _x60 = _x75 ∧ _x88 = _x88 l5 5 l2: x1 = _x90 ∧ x2 = _x91 ∧ x3 = _x92 ∧ x4 = _x93 ∧ x5 = _x94 ∧ x6 = _x95 ∧ x7 = _x96 ∧ x8 = _x97 ∧ x9 = _x98 ∧ x10 = _x99 ∧ x11 = _x100 ∧ x12 = _x101 ∧ x13 = _x102 ∧ x14 = _x103 ∧ x15 = _x104 ∧ x1 = _x105 ∧ x2 = _x106 ∧ x3 = _x107 ∧ x4 = _x108 ∧ x5 = _x109 ∧ x6 = _x110 ∧ x7 = _x111 ∧ x8 = _x112 ∧ x9 = _x113 ∧ x10 = _x114 ∧ x11 = _x115 ∧ x12 = _x116 ∧ x13 = _x117 ∧ x14 = _x118 ∧ x15 = _x119 ∧ _x104 = _x119 ∧ _x103 = _x118 ∧ _x101 = _x116 ∧ _x99 = _x114 ∧ _x102 = _x117 ∧ _x98 = _x113 ∧ _x97 = _x112 ∧ _x96 = _x111 ∧ _x95 = _x110 ∧ _x94 = _x109 ∧ _x93 = _x108 ∧ _x92 = _x107 ∧ _x90 = _x105 ∧ _x115 = _x115 ∧ _x106 = _x90 ∧ −1 ≤ _x104 ∧ _x104 ≤ −1 l5 6 l4: x1 = _x120 ∧ x2 = _x121 ∧ x3 = _x122 ∧ x4 = _x123 ∧ x5 = _x124 ∧ x6 = _x125 ∧ x7 = _x126 ∧ x8 = _x127 ∧ x9 = _x128 ∧ x10 = _x129 ∧ x11 = _x130 ∧ x12 = _x131 ∧ x13 = _x132 ∧ x14 = _x133 ∧ x15 = _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 ∧ _x134 = _x149 ∧ _x133 = _x148 ∧ _x131 = _x146 ∧ _x130 = _x145 ∧ _x129 = _x144 ∧ _x132 = _x147 ∧ _x128 = _x143 ∧ _x127 = _x142 ∧ _x126 = _x141 ∧ _x125 = _x140 ∧ _x124 = _x139 ∧ _x123 = _x138 ∧ _x122 = _x137 ∧ _x121 = _x136 ∧ _x120 = _x135 ∧ 0 ≤ _x134 l5 7 l4: x1 = _x150 ∧ x2 = _x151 ∧ x3 = _x152 ∧ x4 = _x153 ∧ x5 = _x154 ∧ x6 = _x155 ∧ x7 = _x156 ∧ x8 = _x157 ∧ x9 = _x158 ∧ x10 = _x159 ∧ x11 = _x160 ∧ x12 = _x161 ∧ x13 = _x162 ∧ x14 = _x163 ∧ x15 = _x164 ∧ x1 = _x165 ∧ x2 = _x166 ∧ x3 = _x167 ∧ x4 = _x168 ∧ x5 = _x169 ∧ x6 = _x170 ∧ x7 = _x171 ∧ x8 = _x172 ∧ x9 = _x173 ∧ x10 = _x174 ∧ x11 = _x175 ∧ x12 = _x176 ∧ x13 = _x177 ∧ x14 = _x178 ∧ x15 = _x179 ∧ _x164 = _x179 ∧ _x163 = _x178 ∧ _x161 = _x176 ∧ _x160 = _x175 ∧ _x159 = _x174 ∧ _x162 = _x177 ∧ _x158 = _x173 ∧ _x157 = _x172 ∧ _x156 = _x171 ∧ _x155 = _x170 ∧ _x154 = _x169 ∧ _x153 = _x168 ∧ _x152 = _x167 ∧ _x151 = _x166 ∧ _x150 = _x165 ∧ 1 + _x164 ≤ −1 l6 8 l3: x1 = _x180 ∧ x2 = _x181 ∧ x3 = _x182 ∧ x4 = _x183 ∧ x5 = _x184 ∧ x6 = _x185 ∧ x7 = _x186 ∧ x8 = _x187 ∧ x9 = _x188 ∧ x10 = _x189 ∧ x11 = _x190 ∧ x12 = _x191 ∧ x13 = _x192 ∧ x14 = _x193 ∧ x15 = _x194 ∧ x1 = _x195 ∧ x2 = _x196 ∧ x3 = _x197 ∧ x4 = _x198 ∧ x5 = _x199 ∧ x6 = _x200 ∧ x7 = _x201 ∧ x8 = _x202 ∧ x9 = _x203 ∧ x10 = _x204 ∧ x11 = _x205 ∧ x12 = _x206 ∧ x13 = _x207 ∧ x14 = _x208 ∧ x15 = _x209 ∧ _x194 = _x209 ∧ _x193 = _x208 ∧ _x191 = _x206 ∧ _x190 = _x205 ∧ _x189 = _x204 ∧ _x192 = _x207 ∧ _x188 = _x203 ∧ _x187 = _x202 ∧ _x186 = _x201 ∧ _x185 = _x200 ∧ _x184 = _x199 ∧ _x183 = _x198 ∧ _x182 = _x197 ∧ _x181 = _x196 ∧ _x180 = _x195 l7 9 l6: x1 = _x210 ∧ x2 = _x211 ∧ x3 = _x212 ∧ x4 = _x213 ∧ x5 = _x214 ∧ x6 = _x215 ∧ x7 = _x216 ∧ x8 = _x217 ∧ x9 = _x218 ∧ x10 = _x219 ∧ x11 = _x220 ∧ x12 = _x221 ∧ x13 = _x222 ∧ x14 = _x223 ∧ x15 = _x224 ∧ x1 = _x225 ∧ x2 = _x226 ∧ x3 = _x227 ∧ x4 = _x228 ∧ x5 = _x229 ∧ x6 = _x230 ∧ x7 = _x231 ∧ x8 = _x232 ∧ x9 = _x233 ∧ x10 = _x234 ∧ x11 = _x235 ∧ x12 = _x236 ∧ x13 = _x237 ∧ x14 = _x238 ∧ x15 = _x239 ∧ _x224 = _x239 ∧ _x223 = _x238 ∧ _x221 = _x236 ∧ _x220 = _x235 ∧ _x219 = _x234 ∧ _x222 = _x237 ∧ _x218 = _x233 ∧ _x217 = _x232 ∧ _x216 = _x231 ∧ _x215 = _x230 ∧ _x214 = _x229 ∧ _x213 = _x228 ∧ _x212 = _x227 ∧ _x211 = _x226 ∧ _x210 = _x225 l8 10 l7: x1 = _x240 ∧ x2 = _x241 ∧ x3 = _x242 ∧ x4 = _x243 ∧ x5 = _x244 ∧ x6 = _x245 ∧ x7 = _x246 ∧ x8 = _x247 ∧ x9 = _x248 ∧ x10 = _x249 ∧ x11 = _x250 ∧ x12 = _x251 ∧ x13 = _x252 ∧ x14 = _x253 ∧ x15 = _x254 ∧ x1 = _x255 ∧ x2 = _x256 ∧ x3 = _x257 ∧ x4 = _x258 ∧ x5 = _x259 ∧ x6 = _x260 ∧ x7 = _x261 ∧ x8 = _x262 ∧ x9 = _x263 ∧ x10 = _x264 ∧ x11 = _x265 ∧ x12 = _x266 ∧ x13 = _x267 ∧ x14 = _x268 ∧ x15 = _x269 ∧ _x254 = _x269 ∧ _x253 = _x268 ∧ _x251 = _x266 ∧ _x250 = _x265 ∧ _x249 = _x264 ∧ _x252 = _x267 ∧ _x248 = _x263 ∧ _x247 = _x262 ∧ _x246 = _x261 ∧ _x245 = _x260 ∧ _x244 = _x259 ∧ _x243 = _x258 ∧ _x242 = _x257 ∧ _x241 = _x256 ∧ _x240 = _x255 l8 11 l6: 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 ∧ x1 = _x285 ∧ x2 = _x286 ∧ x3 = _x287 ∧ x4 = _x288 ∧ x5 = _x289 ∧ x6 = _x290 ∧ x7 = _x291 ∧ x8 = _x292 ∧ x9 = _x293 ∧ x10 = _x294 ∧ x11 = _x295 ∧ x12 = _x296 ∧ x13 = _x297 ∧ x14 = _x298 ∧ x15 = _x299 ∧ _x284 = _x299 ∧ _x283 = _x298 ∧ _x281 = _x296 ∧ _x280 = _x295 ∧ _x279 = _x294 ∧ _x282 = _x297 ∧ _x278 = _x293 ∧ _x277 = _x292 ∧ _x276 = _x291 ∧ _x275 = _x290 ∧ _x274 = _x289 ∧ _x273 = _x288 ∧ _x272 = _x287 ∧ _x271 = _x286 ∧ _x270 = _x285 l9 12 l8: x1 = _x300 ∧ x2 = _x301 ∧ x3 = _x302 ∧ x4 = _x303 ∧ x5 = _x304 ∧ x6 = _x305 ∧ x7 = _x306 ∧ x8 = _x307 ∧ x9 = _x308 ∧ x10 = _x309 ∧ x11 = _x310 ∧ x12 = _x311 ∧ x13 = _x312 ∧ x14 = _x313 ∧ x15 = _x314 ∧ x1 = _x315 ∧ x2 = _x316 ∧ x3 = _x317 ∧ x4 = _x318 ∧ x5 = _x319 ∧ x6 = _x320 ∧ x7 = _x321 ∧ x8 = _x322 ∧ x9 = _x323 ∧ x10 = _x324 ∧ x11 = _x325 ∧ x12 = _x326 ∧ x13 = _x327 ∧ x14 = _x328 ∧ x15 = _x329 ∧ _x314 = _x329 ∧ _x313 = _x328 ∧ _x311 = _x326 ∧ _x310 = _x325 ∧ _x309 = _x324 ∧ _x312 = _x327 ∧ _x308 = _x323 ∧ _x306 = _x321 ∧ _x305 = _x320 ∧ _x304 = _x319 ∧ _x303 = _x318 ∧ _x302 = _x317 ∧ _x301 = _x316 ∧ _x300 = _x315 ∧ _x322 = _x300 l10 13 l3: x1 = _x330 ∧ x2 = _x331 ∧ x3 = _x332 ∧ x4 = _x333 ∧ x5 = _x334 ∧ x6 = _x335 ∧ x7 = _x336 ∧ x8 = _x337 ∧ x9 = _x338 ∧ x10 = _x339 ∧ x11 = _x340 ∧ x12 = _x341 ∧ x13 = _x342 ∧ x14 = _x343 ∧ x15 = _x344 ∧ x1 = _x345 ∧ x2 = _x346 ∧ x3 = _x347 ∧ x4 = _x348 ∧ x5 = _x349 ∧ x6 = _x350 ∧ x7 = _x351 ∧ x8 = _x352 ∧ x9 = _x353 ∧ x10 = _x354 ∧ x11 = _x355 ∧ x12 = _x356 ∧ x13 = _x357 ∧ x14 = _x358 ∧ x15 = _x359 ∧ _x344 = _x359 ∧ _x343 = _x358 ∧ _x341 = _x356 ∧ _x340 = _x355 ∧ _x339 = _x354 ∧ _x342 = _x357 ∧ _x338 = _x353 ∧ _x337 = _x352 ∧ _x336 = _x351 ∧ _x335 = _x350 ∧ _x334 = _x349 ∧ _x333 = _x348 ∧ _x332 = _x347 ∧ _x331 = _x346 ∧ _x330 = _x345 l11 14 l10: x1 = _x360 ∧ x2 = _x361 ∧ x3 = _x362 ∧ x4 = _x363 ∧ x5 = _x364 ∧ x6 = _x365 ∧ x7 = _x366 ∧ x8 = _x367 ∧ x9 = _x368 ∧ x10 = _x369 ∧ x11 = _x370 ∧ x12 = _x371 ∧ x13 = _x372 ∧ x14 = _x373 ∧ x15 = _x374 ∧ x1 = _x375 ∧ x2 = _x376 ∧ x3 = _x377 ∧ x4 = _x378 ∧ x5 = _x379 ∧ x6 = _x380 ∧ x7 = _x381 ∧ x8 = _x382 ∧ x9 = _x383 ∧ x10 = _x384 ∧ x11 = _x385 ∧ x12 = _x386 ∧ x13 = _x387 ∧ x14 = _x388 ∧ x15 = _x389 ∧ _x374 = _x389 ∧ _x373 = _x388 ∧ _x371 = _x386 ∧ _x370 = _x385 ∧ _x369 = _x384 ∧ _x372 = _x387 ∧ _x368 = _x383 ∧ _x367 = _x382 ∧ _x366 = _x381 ∧ _x365 = _x380 ∧ _x364 = _x379 ∧ _x363 = _x378 ∧ _x362 = _x377 ∧ _x361 = _x376 ∧ _x360 = _x375 l12 15 l11: x1 = _x390 ∧ x2 = _x391 ∧ x3 = _x392 ∧ x4 = _x393 ∧ x5 = _x394 ∧ x6 = _x395 ∧ x7 = _x396 ∧ x8 = _x397 ∧ x9 = _x398 ∧ x10 = _x399 ∧ x11 = _x400 ∧ x12 = _x401 ∧ x13 = _x402 ∧ x14 = _x403 ∧ x15 = _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 ∧ _x404 = _x419 ∧ _x403 = _x418 ∧ _x401 = _x416 ∧ _x400 = _x415 ∧ _x399 = _x414 ∧ _x402 = _x417 ∧ _x398 = _x413 ∧ _x397 = _x412 ∧ _x396 = _x411 ∧ _x395 = _x410 ∧ _x394 = _x409 ∧ _x393 = _x408 ∧ _x392 = _x407 ∧ _x391 = _x406 ∧ _x390 = _x405 l12 16 l10: x1 = _x420 ∧ x2 = _x421 ∧ x3 = _x422 ∧ x4 = _x423 ∧ x5 = _x424 ∧ x6 = _x425 ∧ x7 = _x426 ∧ x8 = _x427 ∧ x9 = _x428 ∧ x10 = _x429 ∧ x11 = _x430 ∧ x12 = _x431 ∧ x13 = _x432 ∧ x14 = _x433 ∧ x15 = _x434 ∧ x1 = _x435 ∧ x2 = _x436 ∧ x3 = _x437 ∧ x4 = _x438 ∧ x5 = _x439 ∧ x6 = _x440 ∧ x7 = _x441 ∧ x8 = _x442 ∧ x9 = _x443 ∧ x10 = _x444 ∧ x11 = _x445 ∧ x12 = _x446 ∧ x13 = _x447 ∧ x14 = _x448 ∧ x15 = _x449 ∧ _x434 = _x449 ∧ _x433 = _x448 ∧ _x431 = _x446 ∧ _x430 = _x445 ∧ _x429 = _x444 ∧ _x432 = _x447 ∧ _x428 = _x443 ∧ _x427 = _x442 ∧ _x426 = _x441 ∧ _x425 = _x440 ∧ _x424 = _x439 ∧ _x423 = _x438 ∧ _x422 = _x437 ∧ _x421 = _x436 ∧ _x420 = _x435 l13 17 l12: x1 = _x450 ∧ x2 = _x451 ∧ x3 = _x452 ∧ x4 = _x453 ∧ x5 = _x454 ∧ x6 = _x455 ∧ x7 = _x456 ∧ x8 = _x457 ∧ x9 = _x458 ∧ x10 = _x459 ∧ x11 = _x460 ∧ x12 = _x461 ∧ x13 = _x462 ∧ x14 = _x463 ∧ x15 = _x464 ∧ x1 = _x465 ∧ x2 = _x466 ∧ x3 = _x467 ∧ x4 = _x468 ∧ x5 = _x469 ∧ x6 = _x470 ∧ x7 = _x471 ∧ x8 = _x472 ∧ x9 = _x473 ∧ x10 = _x474 ∧ x11 = _x475 ∧ x12 = _x476 ∧ x13 = _x477 ∧ x14 = _x478 ∧ x15 = _x479 ∧ _x464 = _x479 ∧ _x463 = _x478 ∧ _x461 = _x476 ∧ _x460 = _x475 ∧ _x459 = _x474 ∧ _x462 = _x477 ∧ _x458 = _x473 ∧ _x457 = _x472 ∧ _x455 = _x470 ∧ _x454 = _x469 ∧ _x453 = _x468 ∧ _x452 = _x467 ∧ _x451 = _x466 ∧ _x450 = _x465 ∧ _x471 = _x450 l14 18 l15: x1 = _x480 ∧ x2 = _x481 ∧ x3 = _x482 ∧ x4 = _x483 ∧ x5 = _x484 ∧ x6 = _x485 ∧ x7 = _x486 ∧ x8 = _x487 ∧ x9 = _x488 ∧ x10 = _x489 ∧ x11 = _x490 ∧ x12 = _x491 ∧ x13 = _x492 ∧ x14 = _x493 ∧ x15 = _x494 ∧ x1 = _x495 ∧ x2 = _x496 ∧ x3 = _x497 ∧ x4 = _x498 ∧ x5 = _x499 ∧ x6 = _x500 ∧ x7 = _x501 ∧ x8 = _x502 ∧ x9 = _x503 ∧ x10 = _x504 ∧ x11 = _x505 ∧ x12 = _x506 ∧ x13 = _x507 ∧ x14 = _x508 ∧ x15 = _x509 ∧ _x494 = _x509 ∧ _x493 = _x508 ∧ _x491 = _x506 ∧ _x490 = _x505 ∧ _x489 = _x504 ∧ _x492 = _x507 ∧ _x488 = _x503 ∧ _x487 = _x502 ∧ _x486 = _x501 ∧ _x485 = _x500 ∧ _x483 = _x498 ∧ _x482 = _x497 ∧ _x481 = _x496 ∧ _x480 = _x495 ∧ _x499 = _x483 l15 19 l5: x1 = _x510 ∧ x2 = _x511 ∧ x3 = _x512 ∧ x4 = _x513 ∧ x5 = _x514 ∧ x6 = _x515 ∧ x7 = _x516 ∧ x8 = _x517 ∧ x9 = _x518 ∧ x10 = _x519 ∧ x11 = _x520 ∧ x12 = _x521 ∧ x13 = _x522 ∧ x14 = _x523 ∧ x15 = _x524 ∧ x1 = _x525 ∧ x2 = _x526 ∧ x3 = _x527 ∧ x4 = _x528 ∧ x5 = _x529 ∧ x6 = _x530 ∧ x7 = _x531 ∧ x8 = _x532 ∧ x9 = _x533 ∧ x10 = _x534 ∧ x11 = _x535 ∧ x12 = _x536 ∧ x13 = _x537 ∧ x14 = _x538 ∧ x15 = _x539 ∧ _x523 = _x538 ∧ _x521 = _x536 ∧ _x520 = _x535 ∧ _x519 = _x534 ∧ _x522 = _x537 ∧ _x518 = _x533 ∧ _x517 = _x532 ∧ _x516 = _x531 ∧ _x515 = _x530 ∧ _x514 = _x529 ∧ _x513 = _x528 ∧ _x512 = _x527 ∧ _x511 = _x526 ∧ _x510 = _x525 ∧ _x539 = _x539 ∧ 1 ≤ _x514 ∧ _x514 ≤ 1 l15 20 l13: 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 ∧ x1 = _x555 ∧ x2 = _x556 ∧ x3 = _x557 ∧ x4 = _x558 ∧ x5 = _x559 ∧ x6 = _x560 ∧ x7 = _x561 ∧ x8 = _x562 ∧ x9 = _x563 ∧ x10 = _x564 ∧ x11 = _x565 ∧ x12 = _x566 ∧ x13 = _x567 ∧ x14 = _x568 ∧ x15 = _x569 ∧ _x554 = _x569 ∧ _x553 = _x568 ∧ _x551 = _x566 ∧ _x550 = _x565 ∧ _x549 = _x564 ∧ _x552 = _x567 ∧ _x548 = _x563 ∧ _x547 = _x562 ∧ _x546 = _x561 ∧ _x545 = _x560 ∧ _x544 = _x559 ∧ _x543 = _x558 ∧ _x542 = _x557 ∧ _x541 = _x556 ∧ _x540 = _x555 ∧ 2 ≤ _x544 l15 21 l13: x1 = _x570 ∧ x2 = _x571 ∧ x3 = _x572 ∧ x4 = _x573 ∧ x5 = _x574 ∧ x6 = _x575 ∧ x7 = _x576 ∧ x8 = _x577 ∧ x9 = _x578 ∧ x10 = _x579 ∧ x11 = _x580 ∧ x12 = _x581 ∧ x13 = _x582 ∧ x14 = _x583 ∧ x15 = _x584 ∧ x1 = _x585 ∧ x2 = _x586 ∧ x3 = _x587 ∧ x4 = _x588 ∧ x5 = _x589 ∧ x6 = _x590 ∧ x7 = _x591 ∧ x8 = _x592 ∧ x9 = _x593 ∧ x10 = _x594 ∧ x11 = _x595 ∧ x12 = _x596 ∧ x13 = _x597 ∧ x14 = _x598 ∧ x15 = _x599 ∧ _x584 = _x599 ∧ _x583 = _x598 ∧ _x581 = _x596 ∧ _x580 = _x595 ∧ _x579 = _x594 ∧ _x582 = _x597 ∧ _x578 = _x593 ∧ _x577 = _x592 ∧ _x576 = _x591 ∧ _x575 = _x590 ∧ _x574 = _x589 ∧ _x573 = _x588 ∧ _x572 = _x587 ∧ _x571 = _x586 ∧ _x570 = _x585 ∧ 1 + _x574 ≤ 1 l16 22 l14: x1 = _x600 ∧ x2 = _x601 ∧ x3 = _x602 ∧ x4 = _x603 ∧ x5 = _x604 ∧ x6 = _x605 ∧ x7 = _x606 ∧ x8 = _x607 ∧ x9 = _x608 ∧ x10 = _x609 ∧ x11 = _x610 ∧ x12 = _x611 ∧ x13 = _x612 ∧ x14 = _x613 ∧ x15 = _x614 ∧ x1 = _x615 ∧ x2 = _x616 ∧ x3 = _x617 ∧ x4 = _x618 ∧ x5 = _x619 ∧ x6 = _x620 ∧ x7 = _x621 ∧ x8 = _x622 ∧ x9 = _x623 ∧ x10 = _x624 ∧ x11 = _x625 ∧ x12 = _x626 ∧ x13 = _x627 ∧ x14 = _x628 ∧ x15 = _x629 ∧ _x614 = _x629 ∧ _x613 = _x628 ∧ _x611 = _x626 ∧ _x610 = _x625 ∧ _x609 = _x624 ∧ _x612 = _x627 ∧ _x608 = _x623 ∧ _x607 = _x622 ∧ _x606 = _x621 ∧ _x605 = _x620 ∧ _x604 = _x619 ∧ _x602 = _x617 ∧ _x601 = _x616 ∧ _x600 = _x615 ∧ _x618 = 0 l16 23 l14: x1 = _x630 ∧ x2 = _x631 ∧ x3 = _x632 ∧ x4 = _x633 ∧ x5 = _x634 ∧ x6 = _x635 ∧ x7 = _x636 ∧ x8 = _x637 ∧ x9 = _x638 ∧ x10 = _x639 ∧ x11 = _x640 ∧ x12 = _x641 ∧ x13 = _x642 ∧ x14 = _x643 ∧ x15 = _x644 ∧ x1 = _x645 ∧ x2 = _x646 ∧ x3 = _x647 ∧ x4 = _x648 ∧ x5 = _x649 ∧ x6 = _x650 ∧ x7 = _x651 ∧ x8 = _x652 ∧ x9 = _x653 ∧ x10 = _x654 ∧ x11 = _x655 ∧ x12 = _x656 ∧ x13 = _x657 ∧ x14 = _x658 ∧ x15 = _x659 ∧ _x644 = _x659 ∧ _x643 = _x658 ∧ _x641 = _x656 ∧ _x640 = _x655 ∧ _x639 = _x654 ∧ _x642 = _x657 ∧ _x638 = _x653 ∧ _x637 = _x652 ∧ _x636 = _x651 ∧ _x635 = _x650 ∧ _x634 = _x649 ∧ _x632 = _x647 ∧ _x631 = _x646 ∧ _x630 = _x645 ∧ _x648 = 1 l17 24 l9: x1 = _x660 ∧ x2 = _x661 ∧ x3 = _x662 ∧ x4 = _x663 ∧ x5 = _x664 ∧ x6 = _x665 ∧ x7 = _x666 ∧ x8 = _x667 ∧ x9 = _x668 ∧ x10 = _x669 ∧ x11 = _x670 ∧ x12 = _x671 ∧ x13 = _x672 ∧ x14 = _x673 ∧ x15 = _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 ∧ _x674 = _x689 ∧ _x673 = _x688 ∧ _x671 = _x686 ∧ _x670 = _x685 ∧ _x669 = _x684 ∧ _x672 = _x687 ∧ _x668 = _x683 ∧ _x667 = _x682 ∧ _x666 = _x681 ∧ _x665 = _x680 ∧ _x664 = _x679 ∧ _x663 = _x678 ∧ _x662 = _x677 ∧ _x661 = _x676 ∧ _x660 = _x675 ∧ 2 ≤ _x664 l17 25 l9: x1 = _x690 ∧ x2 = _x691 ∧ x3 = _x692 ∧ x4 = _x693 ∧ x5 = _x694 ∧ x6 = _x695 ∧ x7 = _x696 ∧ x8 = _x697 ∧ x9 = _x698 ∧ x10 = _x699 ∧ x11 = _x700 ∧ x12 = _x701 ∧ x13 = _x702 ∧ x14 = _x703 ∧ x15 = _x704 ∧ x1 = _x705 ∧ x2 = _x706 ∧ x3 = _x707 ∧ x4 = _x708 ∧ x5 = _x709 ∧ x6 = _x710 ∧ x7 = _x711 ∧ x8 = _x712 ∧ x9 = _x713 ∧ x10 = _x714 ∧ x11 = _x715 ∧ x12 = _x716 ∧ x13 = _x717 ∧ x14 = _x718 ∧ x15 = _x719 ∧ _x704 = _x719 ∧ _x703 = _x718 ∧ _x701 = _x716 ∧ _x700 = _x715 ∧ _x699 = _x714 ∧ _x702 = _x717 ∧ _x698 = _x713 ∧ _x697 = _x712 ∧ _x696 = _x711 ∧ _x695 = _x710 ∧ _x694 = _x709 ∧ _x693 = _x708 ∧ _x692 = _x707 ∧ _x691 = _x706 ∧ _x690 = _x705 ∧ 1 + _x694 ≤ 1 l17 26 l16: x1 = _x720 ∧ x2 = _x721 ∧ x3 = _x722 ∧ x4 = _x723 ∧ x5 = _x724 ∧ x6 = _x725 ∧ x7 = _x726 ∧ x8 = _x727 ∧ x9 = _x728 ∧ x10 = _x729 ∧ x11 = _x730 ∧ x12 = _x731 ∧ x13 = _x732 ∧ x14 = _x733 ∧ x15 = _x734 ∧ x1 = _x735 ∧ x2 = _x736 ∧ x3 = _x737 ∧ x4 = _x738 ∧ x5 = _x739 ∧ x6 = _x740 ∧ x7 = _x741 ∧ x8 = _x742 ∧ x9 = _x743 ∧ x10 = _x744 ∧ x11 = _x745 ∧ x12 = _x746 ∧ x13 = _x747 ∧ x14 = _x748 ∧ x15 = _x749 ∧ _x734 = _x749 ∧ _x733 = _x748 ∧ _x731 = _x746 ∧ _x730 = _x745 ∧ _x732 = _x747 ∧ _x728 = _x743 ∧ _x727 = _x742 ∧ _x726 = _x741 ∧ _x724 = _x739 ∧ _x723 = _x738 ∧ _x722 = _x737 ∧ _x721 = _x736 ∧ _x720 = _x735 ∧ _x744 = _x744 ∧ _x740 = _x720 ∧ 1 ≤ _x724 ∧ _x724 ≤ 1 l1 27 l17: x1 = _x750 ∧ x2 = _x751 ∧ x3 = _x752 ∧ x4 = _x753 ∧ x5 = _x754 ∧ x6 = _x755 ∧ x7 = _x756 ∧ x8 = _x757 ∧ x9 = _x758 ∧ x10 = _x759 ∧ x11 = _x760 ∧ x12 = _x761 ∧ x13 = _x762 ∧ x14 = _x763 ∧ x15 = _x764 ∧ x1 = _x765 ∧ x2 = _x766 ∧ x3 = _x767 ∧ x4 = _x768 ∧ x5 = _x769 ∧ x6 = _x770 ∧ x7 = _x771 ∧ x8 = _x772 ∧ x9 = _x773 ∧ x10 = _x774 ∧ x11 = _x775 ∧ x12 = _x776 ∧ x13 = _x777 ∧ x14 = _x778 ∧ x15 = _x779 ∧ _x764 = _x779 ∧ _x763 = _x778 ∧ _x761 = _x776 ∧ _x760 = _x775 ∧ _x759 = _x774 ∧ _x758 = _x773 ∧ _x757 = _x772 ∧ _x756 = _x771 ∧ _x755 = _x770 ∧ _x753 = _x768 ∧ _x752 = _x767 ∧ _x751 = _x766 ∧ _x750 = _x765 ∧ _x769 = _x777 ∧ _x777 = _x752 l18 28 l0: x1 = _x780 ∧ x2 = _x781 ∧ x3 = _x782 ∧ x4 = _x783 ∧ x5 = _x784 ∧ x6 = _x785 ∧ x7 = _x786 ∧ x8 = _x787 ∧ x9 = _x788 ∧ x10 = _x789 ∧ x11 = _x790 ∧ x12 = _x791 ∧ x13 = _x792 ∧ x14 = _x793 ∧ x15 = _x794 ∧ x1 = _x795 ∧ x2 = _x796 ∧ x3 = _x797 ∧ x4 = _x798 ∧ x5 = _x799 ∧ x6 = _x800 ∧ x7 = _x801 ∧ x8 = _x802 ∧ x9 = _x803 ∧ x10 = _x804 ∧ x11 = _x805 ∧ x12 = _x806 ∧ x13 = _x807 ∧ x14 = _x808 ∧ x15 = _x809 ∧ _x794 = _x809 ∧ _x793 = _x808 ∧ _x790 = _x805 ∧ _x789 = _x804 ∧ _x792 = _x807 ∧ _x787 = _x802 ∧ _x786 = _x801 ∧ _x785 = _x800 ∧ _x784 = _x799 ∧ _x783 = _x798 ∧ _x782 = _x797 ∧ _x781 = _x796 ∧ _x780 = _x795 ∧ _x806 = _x806 ∧ _x803 = _x780 l19 29 l18: 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 ∧ x1 = _x825 ∧ x2 = _x826 ∧ x3 = _x827 ∧ x4 = _x828 ∧ x5 = _x829 ∧ x6 = _x830 ∧ x7 = _x831 ∧ x8 = _x832 ∧ x9 = _x833 ∧ x10 = _x834 ∧ x11 = _x835 ∧ x12 = _x836 ∧ x13 = _x837 ∧ x14 = _x838 ∧ x15 = _x839 ∧ _x824 = _x839 ∧ _x823 = _x838 ∧ _x821 = _x836 ∧ _x820 = _x835 ∧ _x819 = _x834 ∧ _x822 = _x837 ∧ _x818 = _x833 ∧ _x817 = _x832 ∧ _x816 = _x831 ∧ _x815 = _x830 ∧ _x814 = _x829 ∧ _x813 = _x828 ∧ _x812 = _x827 ∧ _x811 = _x826 ∧ _x810 = _x825

## 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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
and for every transition t, a duplicate t is considered.

### 2 SCC Decomposition

There exist no SCC in the program graph.

## Tool configuration

AProVE

• version: AProVE Commit ID: unknown
• strategy: Statistics for single proof: 100.00 % (2 real / 0 unknown / 0 assumptions / 2 total proof steps)