# LTS Termination Proof

by AProVE

## Input

Integer Transition System
• Transitions: (pre-variables and post-variables)  f347_0_createList_Load 1 f770_0_createList_Load: x1 = _arg1 ∧ x2 = _arg2 ∧ x3 = _arg3 ∧ x4 = _arg4 ∧ x5 = _arg5 ∧ x6 = _arg6 ∧ x7 = _arg7 ∧ x8 = _arg8 ∧ x9 = _arg9 ∧ x10 = _arg10 ∧ x11 = _arg11 ∧ x12 = _arg12 ∧ x13 = _arg13 ∧ x14 = _arg14 ∧ x15 = _arg15 ∧ x16 = _arg16 ∧ x17 = _arg17 ∧ x18 = _arg18 ∧ x19 = _arg19 ∧ x20 = _arg20 ∧ x21 = _arg21 ∧ x22 = _arg22 ∧ x23 = _arg23 ∧ x24 = _arg24 ∧ x25 = _arg25 ∧ x1 = _arg1P ∧ x2 = _arg2P ∧ x3 = _arg3P ∧ x4 = _arg4P ∧ x5 = _arg5P ∧ x6 = _arg6P ∧ x7 = _arg7P ∧ x8 = _arg8P ∧ x9 = _arg9P ∧ x10 = _arg10P ∧ x11 = _arg11P ∧ x12 = _arg12P ∧ x13 = _arg13P ∧ x14 = _arg14P ∧ x15 = _arg15P ∧ x16 = _arg16P ∧ x17 = _arg17P ∧ x18 = _arg18P ∧ x19 = _arg19P ∧ x20 = _arg20P ∧ x21 = _arg21P ∧ x22 = _arg22P ∧ x23 = _arg23P ∧ x24 = _arg24P ∧ x25 = _arg25P ∧ _arg7 = _arg23P ∧ _arg6 = _arg22P ∧ _arg5 = _arg19P ∧ _arg4 = _arg17P ∧ _arg4 = _arg16P ∧ _arg3 = _arg15P ∧ 0 = _arg10P ∧ 0 = _arg9P ∧ 0 = _arg8P ∧ _arg6P = _arg7P ∧ _arg3 = _arg5P ∧ 0 = _arg4P ∧ 0 = _arg3P ∧ _arg1 = _arg1P ∧ _arg6 + 5 ≤ _arg2 ∧ _arg7 + 3 ≤ _arg2 ∧ 9 ≤ _arg2P − 1 ∧ 9 ≤ _arg2 − 1 f1_0_main_Load 2 f1403_0_removeFirst_FieldAccess: 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 ∧ x1 = _x28 ∧ x2 = _x29 ∧ x3 = _x30 ∧ x4 = _x31 ∧ x5 = _x32 ∧ x6 = _x33 ∧ x7 = _x34 ∧ x8 = _x35 ∧ x9 = _x36 ∧ x10 = _x37 ∧ x11 = _x38 ∧ x12 = _x39 ∧ x13 = _x40 ∧ x14 = _x41 ∧ x15 = _x42 ∧ x16 = _x43 ∧ x17 = _x44 ∧ x18 = _x45 ∧ x19 = _x46 ∧ x20 = _x47 ∧ x21 = _x48 ∧ x22 = _x49 ∧ x23 = _x50 ∧ x24 = _x51 ∧ x25 = _x52 ∧ −1 ≤ _x54 − 1 ∧ 0 ≤ _x1 − 1 ∧ −1 ≤ _x55 − 1 ∧ _x30 ≤ _x55 − 1 ∧ −1 ≤ _x56 − 1 ∧ _x31 ≤ _x56 − 1 ∧ 0 ≤ _x − 1 ∧ 7 ≤ _x28 − 1 ∧ 2 ≤ _x29 − 1 f359_0_createList_Return 3 f1403_0_removeFirst_FieldAccess: x1 = _x57 ∧ x2 = _x58 ∧ x3 = _x59 ∧ x4 = _x60 ∧ x5 = _x61 ∧ x6 = _x62 ∧ x7 = _x63 ∧ x8 = _x64 ∧ x9 = _x65 ∧ x10 = _x66 ∧ x11 = _x68 ∧ x12 = _x69 ∧ x13 = _x70 ∧ x14 = _x71 ∧ x15 = _x72 ∧ x16 = _x73 ∧ x17 = _x74 ∧ x18 = _x75 ∧ x19 = _x76 ∧ x20 = _x77 ∧ x21 = _x78 ∧ x22 = _x79 ∧ x23 = _x80 ∧ x24 = _x81 ∧ x25 = _x82 ∧ x1 = _x83 ∧ x2 = _x84 ∧ x3 = _x85 ∧ x4 = _x86 ∧ x5 = _x87 ∧ x6 = _x88 ∧ x7 = _x89 ∧ x8 = _x90 ∧ x9 = _x91 ∧ x10 = _x92 ∧ x11 = _x93 ∧ x12 = _x94 ∧ x13 = _x95 ∧ x14 = _x96 ∧ x15 = _x97 ∧ x16 = _x98 ∧ x17 = _x99 ∧ x18 = _x100 ∧ x19 = _x101 ∧ x20 = _x102 ∧ x21 = _x103 ∧ x22 = _x104 ∧ x23 = _x105 ∧ x24 = _x106 ∧ x25 = _x107 ∧ _x63 = _x88 ∧ _x62 = _x87 ∧ _x62 + 5 ≤ _x57 ∧ _x63 + 3 ≤ _x57 ∧ _x61 + 7 ≤ _x57 ∧ _x60 + 7 ≤ _x57 ∧ 2 ≤ _x84 − 1 ∧ 7 ≤ _x83 − 1 ∧ 6 ≤ _x57 − 1 ∧ _x86 ≤ _x59 − 1 ∧ −1 ≤ _x59 − 1 ∧ −1 ≤ _x58 − 1 ∧ _x85 ≤ _x58 − 1 f1403_0_removeFirst_FieldAccess 4 f1532_0_remove_FieldAccess: 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 ∧ x1 = _x133 ∧ x2 = _x134 ∧ x3 = _x135 ∧ x4 = _x136 ∧ x5 = _x137 ∧ x6 = _x138 ∧ x7 = _x139 ∧ x8 = _x140 ∧ x9 = _x141 ∧ x10 = _x142 ∧ x11 = _x143 ∧ x12 = _x144 ∧ x13 = _x145 ∧ x14 = _x146 ∧ x15 = _x147 ∧ x16 = _x148 ∧ x17 = _x149 ∧ x18 = _x150 ∧ x19 = _x151 ∧ x20 = _x152 ∧ x21 = _x153 ∧ x22 = _x154 ∧ x23 = _x155 ∧ x24 = _x156 ∧ x25 = _x157 ∧ 0 ≤ _x111 − 1 ∧ 0 ≤ _x110 − 1 ∧ _x158 ≤ _x110 − 1 ∧ _x133 ≤ _x108 ∧ 9 ≤ _x108 − 1 ∧ 2 ≤ _x109 − 1 ∧ 9 ≤ _x133 − 1 ∧ 2 ≤ _x134 − 1 ∧ 0 ≤ _x135 − 1 ∧ _x112 + 5 ≤ _x108 ∧ _x113 + 3 ≤ _x108 ∧ _x114 + 3 ≤ _x109 ∧ _x112 = _x136 ∧ _x113 = _x137 f1403_0_removeFirst_FieldAccess 5 f1534_0_remove_FieldAccess: x1 = _x159 ∧ x2 = _x160 ∧ x3 = _x161 ∧ x4 = _x162 ∧ x5 = _x163 ∧ x6 = _x164 ∧ x7 = _x165 ∧ x8 = _x166 ∧ x9 = _x167 ∧ x10 = _x168 ∧ x11 = _x169 ∧ x12 = _x171 ∧ x13 = _x172 ∧ x14 = _x173 ∧ x15 = _x174 ∧ x16 = _x175 ∧ x17 = _x176 ∧ x18 = _x177 ∧ x19 = _x178 ∧ x20 = _x179 ∧ x21 = _x180 ∧ x22 = _x181 ∧ x23 = _x182 ∧ x24 = _x183 ∧ x25 = _x184 ∧ x1 = _x185 ∧ x2 = _x186 ∧ x3 = _x187 ∧ x4 = _x188 ∧ x5 = _x189 ∧ x6 = _x190 ∧ x7 = _x191 ∧ x8 = _x192 ∧ x9 = _x193 ∧ x10 = _x194 ∧ x11 = _x195 ∧ x12 = _x196 ∧ x13 = _x197 ∧ x14 = _x198 ∧ x15 = _x199 ∧ x16 = _x200 ∧ x17 = _x201 ∧ x18 = _x202 ∧ x19 = _x203 ∧ x20 = _x204 ∧ x21 = _x205 ∧ x22 = _x206 ∧ x23 = _x207 ∧ x24 = _x208 ∧ x25 = _x209 ∧ 0 ≤ _x161 − 1 ∧ _x210 ≤ _x161 − 1 ∧ _x185 ≤ _x159 ∧ 9 ≤ _x159 − 1 ∧ 2 ≤ _x160 − 1 ∧ 9 ≤ _x185 − 1 ∧ 2 ≤ _x186 − 1 ∧ 0 ≤ _x187 − 1 ∧ _x163 + 5 ≤ _x159 ∧ _x164 + 3 ≤ _x159 ∧ _x165 + 3 ≤ _x160 ∧ _x163 = _x188 ∧ _x164 = _x189 f1534_0_remove_FieldAccess 6 f1582_0_remove_FieldAccess: x1 = _x213 ∧ x2 = _x214 ∧ x3 = _x215 ∧ x4 = _x216 ∧ x5 = _x217 ∧ x6 = _x218 ∧ x7 = _x219 ∧ x8 = _x220 ∧ x9 = _x221 ∧ x10 = _x222 ∧ x11 = _x223 ∧ x12 = _x224 ∧ x13 = _x225 ∧ x14 = _x226 ∧ x15 = _x227 ∧ x16 = _x228 ∧ x17 = _x229 ∧ x18 = _x230 ∧ x19 = _x231 ∧ x20 = _x232 ∧ x21 = _x233 ∧ x22 = _x234 ∧ x23 = _x235 ∧ x24 = _x236 ∧ x25 = _x237 ∧ x1 = _x238 ∧ x2 = _x239 ∧ x3 = _x240 ∧ x4 = _x241 ∧ x5 = _x242 ∧ x6 = _x243 ∧ x7 = _x244 ∧ x8 = _x245 ∧ x9 = _x246 ∧ x10 = _x248 ∧ x11 = _x249 ∧ x12 = _x250 ∧ x13 = _x251 ∧ x14 = _x252 ∧ x15 = _x253 ∧ x16 = _x254 ∧ x17 = _x255 ∧ x18 = _x256 ∧ x19 = _x257 ∧ x20 = _x258 ∧ x21 = _x259 ∧ x22 = _x260 ∧ x23 = _x261 ∧ x24 = _x262 ∧ x25 = _x263 ∧ _x219 = _x220 ∧ _x218 + 3 ≤ _x215 ∧ _x219 + 2 ≤ _x215 ∧ _x219 + 2 ≤ _x214 ∧ _x218 + 3 ≤ _x214 ∧ _x217 + 3 ≤ _x213 ∧ _x216 + 5 ≤ _x213 ∧ 2 ≤ _x241 − 1 ∧ 0 ≤ _x240 − 1 ∧ 5 ≤ _x239 − 1 ∧ 0 ≤ _x238 − 1 ∧ 2 ≤ _x215 − 1 ∧ 2 ≤ _x214 − 1 ∧ 5 ≤ _x213 − 1 ∧ _x238 + 2 ≤ _x215 ∧ _x238 + 2 ≤ _x214 ∧ _x238 + 5 ≤ _x213 f1532_0_remove_FieldAccess 7 f1582_0_remove_FieldAccess: x1 = _x264 ∧ x2 = _x265 ∧ x3 = _x266 ∧ x4 = _x267 ∧ x5 = _x268 ∧ x6 = _x269 ∧ x7 = _x270 ∧ x8 = _x271 ∧ x9 = _x272 ∧ x10 = _x273 ∧ x11 = _x274 ∧ x12 = _x275 ∧ x13 = _x276 ∧ x14 = _x277 ∧ x15 = _x278 ∧ x16 = _x279 ∧ x17 = _x280 ∧ x18 = _x281 ∧ x19 = _x282 ∧ x20 = _x283 ∧ x21 = _x284 ∧ x22 = _x285 ∧ x23 = _x286 ∧ x24 = _x287 ∧ x25 = _x288 ∧ x1 = _x289 ∧ x2 = _x290 ∧ x3 = _x291 ∧ x4 = _x292 ∧ x5 = _x293 ∧ x6 = _x294 ∧ x7 = _x295 ∧ x8 = _x296 ∧ x9 = _x297 ∧ x10 = _x298 ∧ x11 = _x299 ∧ x12 = _x300 ∧ x13 = _x301 ∧ x14 = _x302 ∧ x15 = _x303 ∧ x16 = _x304 ∧ x17 = _x305 ∧ x18 = _x306 ∧ x19 = _x307 ∧ x20 = _x308 ∧ x21 = _x309 ∧ x22 = _x310 ∧ x23 = _x311 ∧ x24 = _x312 ∧ x25 = _x313 ∧ _x270 = _x271 ∧ _x269 + 3 ≤ _x266 ∧ _x270 + 2 ≤ _x266 ∧ _x270 + 2 ≤ _x265 ∧ _x269 + 3 ≤ _x265 ∧ _x268 + 3 ≤ _x264 ∧ _x267 + 5 ≤ _x264 ∧ 2 ≤ _x292 − 1 ∧ 0 ≤ _x291 − 1 ∧ 5 ≤ _x290 − 1 ∧ 0 ≤ _x289 − 1 ∧ 2 ≤ _x266 − 1 ∧ 2 ≤ _x265 − 1 ∧ 5 ≤ _x264 − 1 ∧ _x289 + 2 ≤ _x266 ∧ _x289 + 2 ≤ _x265 ∧ _x289 + 5 ≤ _x264 f1534_0_remove_FieldAccess 8 f1586_0_remove_FieldAccess: x1 = _x314 ∧ x2 = _x315 ∧ x3 = _x316 ∧ x4 = _x317 ∧ x5 = _x318 ∧ x6 = _x319 ∧ x7 = _x320 ∧ x8 = _x321 ∧ x9 = _x322 ∧ x10 = _x323 ∧ x11 = _x324 ∧ x12 = _x325 ∧ x13 = _x326 ∧ x14 = _x327 ∧ x15 = _x328 ∧ x16 = _x329 ∧ x17 = _x330 ∧ x18 = _x331 ∧ x19 = _x332 ∧ x20 = _x333 ∧ x21 = _x334 ∧ x22 = _x335 ∧ x23 = _x336 ∧ x24 = _x337 ∧ x25 = _x338 ∧ x1 = _x339 ∧ x2 = _x340 ∧ x3 = _x341 ∧ x4 = _x342 ∧ x5 = _x343 ∧ x6 = _x344 ∧ x7 = _x345 ∧ x8 = _x346 ∧ x9 = _x347 ∧ x10 = _x348 ∧ x11 = _x349 ∧ x12 = _x350 ∧ x13 = _x351 ∧ x14 = _x352 ∧ x15 = _x353 ∧ x16 = _x354 ∧ x17 = _x355 ∧ x18 = _x356 ∧ x19 = _x357 ∧ x20 = _x358 ∧ x21 = _x359 ∧ x22 = _x360 ∧ x23 = _x361 ∧ x24 = _x362 ∧ x25 = _x363 ∧ _x321 + 2 ≤ _x316 ∧ _x320 + 2 ≤ _x315 ∧ _x319 + 3 ≤ _x315 ∧ _x318 + 3 ≤ _x314 ∧ _x317 + 5 ≤ _x314 ∧ 2 ≤ _x343 − 1 ∧ 0 ≤ _x342 − 1 ∧ 4 ≤ _x341 − 1 ∧ 5 ≤ _x340 − 1 ∧ 0 ≤ _x339 − 1 ∧ 0 ≤ _x316 − 1 ∧ 2 ≤ _x315 − 1 ∧ 5 ≤ _x314 − 1 ∧ _x339 ≤ _x316 ∧ _x339 + 2 ≤ _x315 ∧ _x339 + 5 ≤ _x314 f1532_0_remove_FieldAccess 9 f1586_0_remove_FieldAccess: x1 = _x364 ∧ x2 = _x365 ∧ x3 = _x366 ∧ x4 = _x367 ∧ x5 = _x368 ∧ x6 = _x369 ∧ x7 = _x370 ∧ x8 = _x371 ∧ x9 = _x372 ∧ x10 = _x373 ∧ x11 = _x374 ∧ x12 = _x375 ∧ x13 = _x376 ∧ x14 = _x377 ∧ x15 = _x378 ∧ x16 = _x379 ∧ x17 = _x380 ∧ x18 = _x381 ∧ x19 = _x382 ∧ x20 = _x383 ∧ x21 = _x384 ∧ x22 = _x385 ∧ x23 = _x386 ∧ x24 = _x387 ∧ x25 = _x388 ∧ x1 = _x389 ∧ x2 = _x390 ∧ x3 = _x391 ∧ x4 = _x392 ∧ x5 = _x393 ∧ x6 = _x394 ∧ x7 = _x395 ∧ x8 = _x396 ∧ x9 = _x397 ∧ x10 = _x398 ∧ x11 = _x399 ∧ x12 = _x400 ∧ x13 = _x401 ∧ x14 = _x402 ∧ x15 = _x403 ∧ x16 = _x404 ∧ x17 = _x405 ∧ x18 = _x406 ∧ x19 = _x407 ∧ x20 = _x408 ∧ x21 = _x409 ∧ x22 = _x410 ∧ x23 = _x411 ∧ x24 = _x412 ∧ x25 = _x413 ∧ _x371 + 2 ≤ _x366 ∧ _x370 + 2 ≤ _x365 ∧ _x369 + 3 ≤ _x365 ∧ _x368 + 3 ≤ _x364 ∧ _x367 + 5 ≤ _x364 ∧ 2 ≤ _x393 − 1 ∧ 0 ≤ _x392 − 1 ∧ 4 ≤ _x391 − 1 ∧ 5 ≤ _x390 − 1 ∧ 0 ≤ _x389 − 1 ∧ 0 ≤ _x366 − 1 ∧ 2 ≤ _x365 − 1 ∧ 5 ≤ _x364 − 1 ∧ _x389 ≤ _x366 ∧ _x389 + 2 ≤ _x365 ∧ _x389 + 5 ≤ _x364 f1_0_main_Load 10 f347_0_createList_Load: x1 = _x414 ∧ x2 = _x415 ∧ x3 = _x416 ∧ x4 = _x417 ∧ x5 = _x418 ∧ x6 = _x419 ∧ x7 = _x420 ∧ x8 = _x421 ∧ x9 = _x422 ∧ x10 = _x423 ∧ x11 = _x424 ∧ x12 = _x425 ∧ x13 = _x426 ∧ x14 = _x427 ∧ x15 = _x428 ∧ x16 = _x429 ∧ x17 = _x430 ∧ x18 = _x431 ∧ x19 = _x432 ∧ x20 = _x433 ∧ x21 = _x434 ∧ x22 = _x435 ∧ x23 = _x436 ∧ x24 = _x437 ∧ x25 = _x438 ∧ x1 = _x439 ∧ x2 = _x440 ∧ x3 = _x441 ∧ x4 = _x442 ∧ x5 = _x443 ∧ x6 = _x444 ∧ x7 = _x445 ∧ x8 = _x446 ∧ x9 = _x447 ∧ x10 = _x448 ∧ x11 = _x449 ∧ x12 = _x450 ∧ x13 = _x451 ∧ x14 = _x452 ∧ x15 = _x453 ∧ x16 = _x454 ∧ x17 = _x455 ∧ x18 = _x456 ∧ x19 = _x457 ∧ x20 = _x458 ∧ x21 = _x459 ∧ x22 = _x460 ∧ x23 = _x461 ∧ x24 = _x462 ∧ x25 = _x463 ∧ 0 = _x445 ∧ 0 = _x444 ∧ 1 = _x443 ∧ 7 ≤ _x440 − 1 ∧ 0 ≤ _x414 − 1 ∧ _x440 − 7 ≤ _x414 ∧ 0 ≤ _x415 − 1 ∧ −1 ≤ _x439 − 1 f770_0_createList_Load 11 f1362_0_createList_LE: x1 = _x464 ∧ x2 = _x465 ∧ x3 = _x466 ∧ x4 = _x467 ∧ x5 = _x468 ∧ x6 = _x469 ∧ x7 = _x470 ∧ x8 = _x471 ∧ x9 = _x472 ∧ x10 = _x473 ∧ x11 = _x474 ∧ x12 = _x475 ∧ x13 = _x476 ∧ x14 = _x477 ∧ x15 = _x478 ∧ x16 = _x479 ∧ x17 = _x480 ∧ x18 = _x481 ∧ x19 = _x482 ∧ x20 = _x483 ∧ x21 = _x484 ∧ x22 = _x485 ∧ x23 = _x486 ∧ x24 = _x487 ∧ x25 = _x488 ∧ x1 = _x489 ∧ x2 = _x490 ∧ x3 = _x491 ∧ x4 = _x492 ∧ x5 = _x493 ∧ x6 = _x494 ∧ x7 = _x495 ∧ x8 = _x496 ∧ x9 = _x497 ∧ x10 = _x498 ∧ x11 = _x499 ∧ x12 = _x500 ∧ x13 = _x501 ∧ x14 = _x502 ∧ x15 = _x503 ∧ x16 = _x504 ∧ x17 = _x505 ∧ x18 = _x506 ∧ x19 = _x507 ∧ x20 = _x508 ∧ x21 = _x509 ∧ x22 = _x510 ∧ x23 = _x511 ∧ x24 = _x512 ∧ x25 = _x513 ∧ _x486 = _x513 ∧ _x485 = _x512 ∧ _x482 = _x508 ∧ _x480 = _x507 ∧ _x479 = _x506 ∧ _x478 = _x505 ∧ _x473 = _x504 ∧ _x472 = _x503 ∧ _x471 = _x502 ∧ _x467 = _x501 ∧ 0 = _x500 ∧ _x468 = _x499 ∧ _x477 = _x498 ∧ _x466 = _x497 ∧ _x469 = _x495 ∧ _x475 = _x494 ∧ _x470 = _x493 ∧ _x474 = _x492 ∧ _x476 = _x491 ∧ _x464 = _x490 ∧ _x485 + 5 ≤ _x465 ∧ _x486 + 3 ≤ _x465 ∧ _x484 + 9 ≤ _x465 ∧ _x483 + 9 ≤ _x465 ∧ 11 ≤ _x489 − 1 ∧ 11 ≤ _x465 − 1 f1362_0_createList_LE 12 f1362_0_createList_LE: x1 = _x514 ∧ x2 = _x515 ∧ x3 = _x516 ∧ x4 = _x517 ∧ x5 = _x518 ∧ x6 = _x519 ∧ x7 = _x520 ∧ x8 = _x521 ∧ x9 = _x522 ∧ x10 = _x523 ∧ x11 = _x524 ∧ x12 = _x525 ∧ x13 = _x526 ∧ x14 = _x527 ∧ x15 = _x528 ∧ x16 = _x529 ∧ x17 = _x530 ∧ x18 = _x531 ∧ x19 = _x532 ∧ x20 = _x533 ∧ x21 = _x534 ∧ x22 = _x535 ∧ x23 = _x536 ∧ x24 = _x537 ∧ x25 = _x538 ∧ x1 = _x539 ∧ x2 = _x540 ∧ x3 = _x541 ∧ x4 = _x542 ∧ x5 = _x543 ∧ x6 = _x544 ∧ x7 = _x545 ∧ x8 = _x546 ∧ x9 = _x547 ∧ x10 = _x548 ∧ x11 = _x549 ∧ x12 = _x550 ∧ x13 = _x551 ∧ x14 = _x552 ∧ x15 = _x553 ∧ x16 = _x554 ∧ x17 = _x555 ∧ x18 = _x556 ∧ x19 = _x557 ∧ x20 = _x558 ∧ x21 = _x559 ∧ x22 = _x560 ∧ x23 = _x561 ∧ x24 = _x562 ∧ x25 = _x563 ∧ 0 ≤ _x515 − 1 ∧ −1 ≤ _x564 − 1 ∧ 0 ≤ _x519 − 1 ∧ 0 ≤ _x516 − 1 ∧ −1 ≤ _x533 − 1 ∧ _x533 ≤ _x564 − 1 ∧ 0 ≤ _x523 − 1 ∧ 0 ≤ _x517 − 1 ∧ 0 ≤ _x526 − 1 ∧ 0 ≤ _x524 − 1 ∧ 0 ≤ _x525 − 1 ∧ −1 ≤ _x565 − 1 ∧ 0 ≤ _x522 − 1 ∧ 0 ≤ _x518 − 1 ∧ 0 ≤ _x532 − 1 ∧ 0 ≤ _x527 − 1 ∧ 0 ≤ _x531 − 1 ∧ 0 ≤ _x530 − 1 ∧ 0 ≤ _x528 − 1 ∧ 0 ≤ _x529 − 1 ∧ −1 ≤ _x538 − 1 ∧ −1 ≤ _x537 − 1 ∧ 9 ≤ _x514 − 1 ∧ 9 ≤ _x539 − 1 ∧ _x534 + 9 ≤ _x514 ∧ _x535 + 9 ≤ _x514 ∧ _x536 + 9 ≤ _x514 ∧ _x538 + 3 ≤ _x514 ∧ _x537 + 5 ≤ _x514 ∧ _x515 − 1 = _x540 ∧ _x516 = _x541 ∧ _x519 = _x544 ∧ _x520 = _x545 ∧ _x521 = _x546 ∧ _x523 = _x548 ∧ _x525 = _x550 ∧ _x533 + 1 = _x558 ∧ _x537 + 1 = _x562 ∧ _x538 + 1 = _x563 f1362_0_createList_LE 13 f1362_0_createList_LE: x1 = _x566 ∧ x2 = _x567 ∧ x3 = _x568 ∧ x4 = _x569 ∧ x5 = _x570 ∧ x6 = _x571 ∧ x7 = _x572 ∧ x8 = _x573 ∧ x9 = _x574 ∧ x10 = _x575 ∧ x11 = _x576 ∧ x12 = _x577 ∧ x13 = _x578 ∧ x14 = _x579 ∧ x15 = _x580 ∧ x16 = _x581 ∧ x17 = _x582 ∧ x18 = _x583 ∧ x19 = _x584 ∧ x20 = _x585 ∧ x21 = _x586 ∧ x22 = _x587 ∧ x23 = _x588 ∧ x24 = _x589 ∧ x25 = _x590 ∧ x1 = _x591 ∧ x2 = _x592 ∧ x3 = _x593 ∧ x4 = _x594 ∧ x5 = _x595 ∧ x6 = _x596 ∧ x7 = _x597 ∧ x8 = _x598 ∧ x9 = _x599 ∧ x10 = _x600 ∧ x11 = _x601 ∧ x12 = _x602 ∧ x13 = _x603 ∧ x14 = _x604 ∧ x15 = _x605 ∧ x16 = _x606 ∧ x17 = _x607 ∧ x18 = _x608 ∧ x19 = _x609 ∧ x20 = _x610 ∧ x21 = _x611 ∧ x22 = _x612 ∧ x23 = _x613 ∧ x24 = _x614 ∧ x25 = _x615 ∧ 0 ≤ _x567 − 1 ∧ −1 ≤ _x616 − 1 ∧ 0 ≤ _x571 − 1 ∧ 0 ≤ _x568 − 1 ∧ −1 ≤ _x585 − 1 ∧ _x585 ≤ _x616 − 1 ∧ 0 ≤ _x575 − 1 ∧ 0 ≤ _x577 − 1 ∧ −1 ≤ _x617 − 1 ∧ 0 ≤ _x584 − 1 ∧ 0 ≤ _x583 − 1 ∧ 0 ≤ _x582 − 1 ∧ 0 ≤ _x573 − 1 ∧ −1 ≤ _x590 − 1 ∧ −1 ≤ _x589 − 1 ∧ 11 ≤ _x566 − 1 ∧ 13 ≤ _x591 − 1 ∧ _x586 + 9 ≤ _x566 ∧ _x587 + 9 ≤ _x566 ∧ _x588 + 9 ≤ _x566 ∧ _x590 + 3 ≤ _x566 ∧ _x589 + 5 ≤ _x566 ∧ _x573 = _x574 ∧ _x575 = _x576 ∧ _x577 = _x578 ∧ _x572 = _x581 ∧ _x567 − 1 = _x592 ∧ 0 = _x593 ∧ 1 = _x594 ∧ 1 = _x595 ∧ _x573 = _x598 ∧ _x575 = _x600 ∧ _x577 = _x602 ∧ 0 = _x603 ∧ 2 = _x604 ∧ _x585 + 1 = _x610 ∧ _x589 + 1 = _x614 ∧ _x590 + 1 = _x615 __init 14 f1_0_main_Load: x1 = _x618 ∧ x2 = _x619 ∧ x3 = _x620 ∧ x4 = _x621 ∧ x5 = _x622 ∧ x6 = _x623 ∧ x7 = _x624 ∧ x8 = _x625 ∧ x9 = _x626 ∧ x10 = _x627 ∧ x11 = _x628 ∧ x12 = _x629 ∧ x13 = _x630 ∧ x14 = _x631 ∧ x15 = _x632 ∧ x16 = _x633 ∧ x17 = _x634 ∧ x18 = _x635 ∧ x19 = _x636 ∧ x20 = _x637 ∧ x21 = _x638 ∧ x22 = _x639 ∧ x23 = _x640 ∧ x24 = _x641 ∧ x25 = _x642 ∧ x1 = _x643 ∧ x2 = _x644 ∧ x3 = _x645 ∧ x4 = _x646 ∧ x5 = _x647 ∧ x6 = _x648 ∧ x7 = _x649 ∧ x8 = _x650 ∧ x9 = _x651 ∧ x10 = _x652 ∧ x11 = _x653 ∧ x12 = _x654 ∧ x13 = _x655 ∧ x14 = _x656 ∧ x15 = _x657 ∧ x16 = _x658 ∧ x17 = _x659 ∧ x18 = _x660 ∧ x19 = _x661 ∧ x20 = _x662 ∧ x21 = _x663 ∧ x22 = _x664 ∧ x23 = _x665 ∧ x24 = _x666 ∧ x25 = _x667 ∧ 0 ≤ 0

## Proof

### 1 Switch to Cooperation Termination Proof

We consider the following cutpoint-transitions:
 f359_0_createList_Return f359_0_createList_Return f359_0_createList_Return: 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 f1532_0_remove_FieldAccess f1532_0_remove_FieldAccess f1532_0_remove_FieldAccess: 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 f770_0_createList_Load f770_0_createList_Load f770_0_createList_Load: 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 f1362_0_createList_LE f1362_0_createList_LE f1362_0_createList_LE: 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 f347_0_createList_Load f347_0_createList_Load f347_0_createList_Load: 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 f1403_0_removeFirst_FieldAccess f1403_0_removeFirst_FieldAccess f1403_0_removeFirst_FieldAccess: 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 f1_0_main_Load f1_0_main_Load f1_0_main_Load: 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 f1534_0_remove_FieldAccess f1534_0_remove_FieldAccess f1534_0_remove_FieldAccess: 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 __init __init __init: 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
and for every transition t, a duplicate t is considered.

### 2 SCC Decomposition

We consider subproblems for each of the 1 SCC(s) of the program graph.

### 2.1 SCC Subproblem 1/1

Here we consider the SCC { f1362_0_createList_LE }.

### 2.1.1 Transition Removal

We remove transitions 12, 13 using the following ranking functions, which are bounded by 0.

 f1362_0_createList_LE: x2

### 2.1.2 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 % (4 real / 0 unknown / 0 assumptions / 4 total proof steps)