# LTS Termination Proof

by AProVE

## Input

Integer Transition System
• Transitions: (pre-variables and post-variables)  f475_0_createList_Load 1 f864_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 = _arg20P ∧ _arg5 = _arg19P ∧ _arg4 = _arg17P ∧ _arg3 = _arg16P ∧ _arg3 = _arg15P ∧ 0 = _arg10P ∧ 0 = _arg9P ∧ 0 = _arg8P ∧ _arg6P = _arg7P ∧ _arg4 = _arg5P ∧ 0 = _arg4P ∧ 0 = _arg3P ∧ _arg1 = _arg1P ∧ _arg7 + 3 ≤ _arg2 ∧ _arg6 + 5 ≤ _arg2 ∧ 9 ≤ _arg2P − 1 ∧ 9 ≤ _arg2 − 1 f1_0_main_Load 2 f1666_0_random_ArrayAccess: 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 = _x25 ∧ x2 = _x27 ∧ x3 = _x28 ∧ x4 = _x29 ∧ x5 = _x30 ∧ x6 = _x31 ∧ x7 = _x32 ∧ x8 = _x33 ∧ x9 = _x34 ∧ x10 = _x35 ∧ x11 = _x36 ∧ x12 = _x37 ∧ x13 = _x38 ∧ x14 = _x39 ∧ x15 = _x40 ∧ x16 = _x42 ∧ x17 = _x43 ∧ x18 = _x44 ∧ x19 = _x45 ∧ x20 = _x46 ∧ x21 = _x47 ∧ x22 = _x48 ∧ x23 = _x49 ∧ x24 = _x52 ∧ x25 = _x53 ∧ −1 ≤ _x54 − 1 ∧ 0 ≤ _x1 − 1 ∧ 0 ≤ _x − 1 ∧ 6 ≤ _x25 − 1 ∧ _x1 = _x29 f494_0_createList_Return 3 f1666_0_random_ArrayAccess: x1 = _x55 ∧ x2 = _x57 ∧ x3 = _x58 ∧ x4 = _x59 ∧ x5 = _x61 ∧ x6 = _x63 ∧ x7 = _x64 ∧ x8 = _x65 ∧ x9 = _x66 ∧ x10 = _x67 ∧ x11 = _x68 ∧ x12 = _x69 ∧ x13 = _x70 ∧ x14 = _x73 ∧ x15 = _x74 ∧ x16 = _x75 ∧ x17 = _x76 ∧ x18 = _x78 ∧ x19 = _x79 ∧ x20 = _x80 ∧ x21 = _x82 ∧ x22 = _x83 ∧ x23 = _x84 ∧ x24 = _x85 ∧ x25 = _x86 ∧ x1 = _x87 ∧ x2 = _x88 ∧ x3 = _x89 ∧ x4 = _x90 ∧ x5 = _x91 ∧ x6 = _x92 ∧ x7 = _x93 ∧ x8 = _x94 ∧ x9 = _x95 ∧ x10 = _x96 ∧ x11 = _x97 ∧ x12 = _x98 ∧ x13 = _x99 ∧ x14 = _x100 ∧ x15 = _x101 ∧ x16 = _x102 ∧ x17 = _x103 ∧ x18 = _x104 ∧ x19 = _x105 ∧ x20 = _x106 ∧ x21 = _x107 ∧ x22 = _x108 ∧ x23 = _x109 ∧ x24 = _x110 ∧ x25 = _x111 ∧ _x66 = _x94 ∧ _x63 = _x91 ∧ _x59 = _x89 ∧ _x58 = _x88 ∧ _x65 + 7 ≤ _x57 ∧ _x66 + 3 ≤ _x57 ∧ _x64 + 7 ≤ _x57 ∧ _x63 + 5 ≤ _x57 ∧ 6 ≤ _x87 − 1 ∧ 6 ≤ _x57 − 1 ∧ 0 ≤ _x55 − 1 f1666_0_random_ArrayAccess 4 f2127_0_entry_LE: x1 = _x112 ∧ x2 = _x113 ∧ x3 = _x114 ∧ x4 = _x115 ∧ x5 = _x117 ∧ x6 = _x118 ∧ x7 = _x119 ∧ x8 = _x120 ∧ x9 = _x121 ∧ x10 = _x122 ∧ x11 = _x123 ∧ x12 = _x124 ∧ x13 = _x125 ∧ x14 = _x126 ∧ x15 = _x127 ∧ x16 = _x128 ∧ x17 = _x129 ∧ x18 = _x130 ∧ x19 = _x131 ∧ x20 = _x132 ∧ x21 = _x133 ∧ x22 = _x134 ∧ x23 = _x135 ∧ x24 = _x136 ∧ x25 = _x137 ∧ x1 = _x138 ∧ x2 = _x139 ∧ x3 = _x140 ∧ x4 = _x141 ∧ x5 = _x142 ∧ x6 = _x143 ∧ x7 = _x144 ∧ x8 = _x145 ∧ x9 = _x146 ∧ x10 = _x147 ∧ x11 = _x148 ∧ x12 = _x149 ∧ x13 = _x150 ∧ x14 = _x151 ∧ x15 = _x152 ∧ x16 = _x153 ∧ x17 = _x154 ∧ x18 = _x155 ∧ x19 = _x156 ∧ x20 = _x159 ∧ x21 = _x160 ∧ x22 = _x161 ∧ x23 = _x162 ∧ x24 = _x163 ∧ x25 = _x164 ∧ −1 ≤ _x165 − 1 ∧ _x165 + 1 ≤ _x115 − 1 ∧ −1 ≤ _x139 − 1 ∧ −1 ≤ _x166 − 1 ∧ _x167 ≤ _x139 ∧ _x139 ≤ _x117 − 1 ∧ 6 ≤ _x112 − 1 ∧ _x117 + 5 ≤ _x112 ∧ _x118 + 7 ≤ _x112 ∧ _x120 + 3 ≤ _x112 ∧ _x119 + 7 ≤ _x112 ∧ _x117 = _x138 ∧ _x114 = _x140 f2127_0_entry_LE 5 f2127_0_entry_LE: x1 = _x168 ∧ x2 = _x169 ∧ x3 = _x170 ∧ x4 = _x171 ∧ x5 = _x172 ∧ x6 = _x173 ∧ x7 = _x174 ∧ x8 = _x175 ∧ x9 = _x176 ∧ x10 = _x177 ∧ x11 = _x178 ∧ x12 = _x179 ∧ x13 = _x180 ∧ x14 = _x181 ∧ x15 = _x182 ∧ x16 = _x183 ∧ x17 = _x184 ∧ x18 = _x185 ∧ x19 = _x186 ∧ x20 = _x187 ∧ x21 = _x188 ∧ x22 = _x189 ∧ x23 = _x190 ∧ x24 = _x191 ∧ x25 = _x192 ∧ x1 = _x194 ∧ x2 = _x195 ∧ x3 = _x196 ∧ x4 = _x197 ∧ x5 = _x198 ∧ x6 = _x199 ∧ x7 = _x200 ∧ x8 = _x201 ∧ x9 = _x202 ∧ x10 = _x203 ∧ x11 = _x204 ∧ x12 = _x205 ∧ x13 = _x206 ∧ x14 = _x207 ∧ x15 = _x208 ∧ x16 = _x209 ∧ x17 = _x210 ∧ x18 = _x211 ∧ x19 = _x212 ∧ x20 = _x213 ∧ x21 = _x214 ∧ x22 = _x215 ∧ x23 = _x216 ∧ x24 = _x217 ∧ x25 = _x218 ∧ −1 ≤ _x170 − 1 ∧ 0 ≤ _x219 − 1 ∧ _x219 ≤ _x170 − 1 ∧ _x169 ≤ _x168 − 1 ∧ _x219 ≤ _x196 − 1 ∧ _x168 − 1 = _x194 ∧ _x169 = _x195 f2127_0_entry_LE 6 f2127_0_entry_LE: x1 = _x220 ∧ x2 = _x221 ∧ x3 = _x222 ∧ x4 = _x223 ∧ x5 = _x224 ∧ x6 = _x225 ∧ x7 = _x226 ∧ x8 = _x227 ∧ x9 = _x228 ∧ x10 = _x229 ∧ x11 = _x230 ∧ x12 = _x231 ∧ x13 = _x232 ∧ x14 = _x233 ∧ x15 = _x234 ∧ x16 = _x235 ∧ x17 = _x236 ∧ x18 = _x237 ∧ x19 = _x238 ∧ x20 = _x239 ∧ x21 = _x240 ∧ x22 = _x241 ∧ x23 = _x242 ∧ x24 = _x243 ∧ x25 = _x244 ∧ x1 = _x245 ∧ x2 = _x246 ∧ x3 = _x247 ∧ x4 = _x248 ∧ x5 = _x249 ∧ x6 = _x250 ∧ x7 = _x251 ∧ x8 = _x252 ∧ x9 = _x253 ∧ x10 = _x254 ∧ x11 = _x255 ∧ x12 = _x256 ∧ x13 = _x257 ∧ x14 = _x258 ∧ x15 = _x259 ∧ x16 = _x260 ∧ x17 = _x261 ∧ x18 = _x262 ∧ x19 = _x263 ∧ x20 = _x264 ∧ x21 = _x265 ∧ x22 = _x266 ∧ x23 = _x267 ∧ x24 = _x268 ∧ x25 = _x269 ∧ _x221 ≤ _x220 − 1 ∧ _x270 ≤ _x222 − 1 ∧ −1 ≤ _x222 − 1 ∧ _x220 − 1 = _x245 ∧ _x221 = _x246 ∧ 1 = _x247 f1666_0_random_ArrayAccess 7 f2217_0_entry_GT: x1 = _x271 ∧ x2 = _x272 ∧ x3 = _x273 ∧ x4 = _x274 ∧ x5 = _x275 ∧ x6 = _x276 ∧ x7 = _x277 ∧ x8 = _x278 ∧ x9 = _x279 ∧ x10 = _x280 ∧ x11 = _x281 ∧ x12 = _x282 ∧ x13 = _x283 ∧ x14 = _x284 ∧ x15 = _x285 ∧ x16 = _x286 ∧ x17 = _x287 ∧ x18 = _x288 ∧ x19 = _x289 ∧ x20 = _x290 ∧ x21 = _x291 ∧ x22 = _x292 ∧ x23 = _x293 ∧ x24 = _x294 ∧ x25 = _x295 ∧ x1 = _x296 ∧ x2 = _x297 ∧ x3 = _x298 ∧ x4 = _x299 ∧ x5 = _x300 ∧ x6 = _x301 ∧ x7 = _x302 ∧ x8 = _x303 ∧ x9 = _x304 ∧ x10 = _x305 ∧ x11 = _x306 ∧ x12 = _x307 ∧ x13 = _x308 ∧ x14 = _x309 ∧ x15 = _x310 ∧ x16 = _x311 ∧ x17 = _x312 ∧ x18 = _x313 ∧ x19 = _x314 ∧ x20 = _x315 ∧ x21 = _x316 ∧ x22 = _x317 ∧ x23 = _x318 ∧ x24 = _x319 ∧ x25 = _x320 ∧ −1 ≤ _x321 − 1 ∧ _x321 + 1 ≤ _x274 − 1 ∧ −1 ≤ _x297 − 1 ∧ −1 ≤ _x322 − 1 ∧ _x297 ≤ _x323 − 1 ∧ _x297 ≤ _x275 − 1 ∧ 6 ≤ _x271 − 1 ∧ _x275 + 5 ≤ _x271 ∧ _x276 + 7 ≤ _x271 ∧ _x278 + 3 ≤ _x271 ∧ _x277 + 7 ≤ _x271 ∧ 0 = _x296 ∧ _x272 = _x298 f2217_0_entry_GT 8 f2217_0_entry_GT: 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 ∧ x1 = _x349 ∧ x2 = _x350 ∧ x3 = _x351 ∧ x4 = _x352 ∧ x5 = _x353 ∧ x6 = _x354 ∧ x7 = _x355 ∧ x8 = _x356 ∧ x9 = _x357 ∧ x10 = _x358 ∧ x11 = _x359 ∧ x12 = _x360 ∧ x13 = _x361 ∧ x14 = _x362 ∧ x15 = _x363 ∧ x16 = _x364 ∧ x17 = _x365 ∧ x18 = _x366 ∧ x19 = _x367 ∧ x20 = _x368 ∧ x21 = _x369 ∧ x22 = _x370 ∧ x23 = _x371 ∧ x24 = _x372 ∧ x25 = _x373 ∧ −1 ≤ _x326 − 1 ∧ 0 ≤ _x374 − 1 ∧ _x374 ≤ _x326 − 1 ∧ _x324 ≤ _x325 ∧ _x374 ≤ _x351 − 1 ∧ _x324 + 1 = _x349 ∧ _x325 = _x350 f2217_0_entry_GT 9 f2217_0_entry_GT: 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 ∧ x16 = _x390 ∧ x17 = _x391 ∧ x18 = _x392 ∧ x19 = _x393 ∧ x20 = _x394 ∧ x21 = _x395 ∧ x22 = _x396 ∧ x23 = _x397 ∧ x24 = _x398 ∧ x25 = _x399 ∧ x1 = _x400 ∧ x2 = _x401 ∧ x3 = _x402 ∧ x4 = _x403 ∧ x5 = _x404 ∧ x6 = _x405 ∧ x7 = _x406 ∧ x8 = _x407 ∧ x9 = _x408 ∧ x10 = _x409 ∧ x11 = _x410 ∧ x12 = _x411 ∧ x13 = _x412 ∧ x14 = _x413 ∧ x15 = _x414 ∧ x16 = _x415 ∧ x17 = _x416 ∧ x18 = _x417 ∧ x19 = _x418 ∧ x20 = _x419 ∧ x21 = _x420 ∧ x22 = _x421 ∧ x23 = _x422 ∧ x24 = _x423 ∧ x25 = _x424 ∧ _x375 ≤ _x376 ∧ _x425 ≤ _x377 − 1 ∧ −1 ≤ _x377 − 1 ∧ _x375 + 1 = _x400 ∧ _x376 = _x401 ∧ 1 = _x402 f1_0_main_Load 10 f475_0_createList_Load: x1 = _x426 ∧ x2 = _x427 ∧ x3 = _x428 ∧ x4 = _x429 ∧ x5 = _x430 ∧ x6 = _x431 ∧ x7 = _x432 ∧ x8 = _x433 ∧ x9 = _x434 ∧ x10 = _x435 ∧ x11 = _x436 ∧ x12 = _x437 ∧ x13 = _x438 ∧ x14 = _x439 ∧ x15 = _x440 ∧ x16 = _x441 ∧ x17 = _x442 ∧ x18 = _x443 ∧ x19 = _x444 ∧ x20 = _x445 ∧ x21 = _x446 ∧ x22 = _x447 ∧ x23 = _x448 ∧ x24 = _x449 ∧ x25 = _x450 ∧ x1 = _x451 ∧ x2 = _x452 ∧ x3 = _x453 ∧ x4 = _x454 ∧ x5 = _x455 ∧ x6 = _x456 ∧ x7 = _x457 ∧ x8 = _x458 ∧ x9 = _x459 ∧ x10 = _x460 ∧ x11 = _x461 ∧ x12 = _x462 ∧ x13 = _x463 ∧ x14 = _x464 ∧ x15 = _x465 ∧ x16 = _x466 ∧ x17 = _x467 ∧ x18 = _x468 ∧ x19 = _x469 ∧ x20 = _x470 ∧ x21 = _x471 ∧ x22 = _x472 ∧ x23 = _x473 ∧ x24 = _x474 ∧ x25 = _x475 ∧ 0 = _x457 ∧ 0 = _x456 ∧ 1 = _x455 ∧ 7 ≤ _x452 − 1 ∧ 0 ≤ _x426 − 1 ∧ _x452 − 7 ≤ _x426 ∧ 0 ≤ _x427 − 1 ∧ −1 ≤ _x451 − 1 f864_0_createList_Load 11 f1640_0_createList_LE: x1 = _x476 ∧ x2 = _x477 ∧ x3 = _x478 ∧ x4 = _x479 ∧ x5 = _x480 ∧ x6 = _x481 ∧ x7 = _x482 ∧ x8 = _x483 ∧ x9 = _x484 ∧ x10 = _x485 ∧ x11 = _x486 ∧ x12 = _x487 ∧ x13 = _x488 ∧ x14 = _x489 ∧ x15 = _x490 ∧ x16 = _x491 ∧ x17 = _x492 ∧ x18 = _x493 ∧ x19 = _x494 ∧ x20 = _x495 ∧ x21 = _x496 ∧ x22 = _x497 ∧ x23 = _x498 ∧ x24 = _x499 ∧ x25 = _x500 ∧ x1 = _x501 ∧ x2 = _x502 ∧ x3 = _x503 ∧ x4 = _x504 ∧ x5 = _x505 ∧ x6 = _x506 ∧ x7 = _x507 ∧ x8 = _x508 ∧ x9 = _x509 ∧ x10 = _x510 ∧ x11 = _x511 ∧ x12 = _x512 ∧ x13 = _x513 ∧ x14 = _x514 ∧ x15 = _x515 ∧ x16 = _x516 ∧ x17 = _x517 ∧ x18 = _x518 ∧ x19 = _x519 ∧ x20 = _x520 ∧ x21 = _x521 ∧ x22 = _x522 ∧ x23 = _x523 ∧ x24 = _x524 ∧ x25 = _x525 ∧ _x498 = _x525 ∧ _x495 = _x521 ∧ _x494 = _x520 ∧ _x492 = _x519 ∧ _x491 = _x518 ∧ _x490 = _x517 ∧ _x485 = _x516 ∧ _x484 = _x515 ∧ _x483 = _x514 ∧ _x479 = _x513 ∧ 0 = _x512 ∧ _x480 = _x511 ∧ _x489 = _x510 ∧ _x478 = _x509 ∧ _x481 = _x507 ∧ _x487 = _x506 ∧ _x482 = _x505 ∧ _x486 = _x504 ∧ _x488 = _x503 ∧ _x476 = _x502 ∧ _x498 + 3 ≤ _x477 ∧ _x497 + 9 ≤ _x477 ∧ _x496 + 9 ≤ _x477 ∧ _x495 + 5 ≤ _x477 ∧ 11 ≤ _x501 − 1 ∧ 11 ≤ _x477 − 1 f1640_0_createList_LE 12 f1640_0_createList_LE: x1 = _x526 ∧ x2 = _x527 ∧ x3 = _x528 ∧ x4 = _x529 ∧ x5 = _x530 ∧ x6 = _x531 ∧ x7 = _x532 ∧ x8 = _x533 ∧ x9 = _x534 ∧ x10 = _x535 ∧ x11 = _x536 ∧ x12 = _x537 ∧ x13 = _x538 ∧ x14 = _x539 ∧ x15 = _x540 ∧ x16 = _x541 ∧ x17 = _x542 ∧ x18 = _x543 ∧ x19 = _x544 ∧ x20 = _x545 ∧ x21 = _x546 ∧ x22 = _x547 ∧ x23 = _x548 ∧ x24 = _x549 ∧ x25 = _x550 ∧ x1 = _x551 ∧ x2 = _x552 ∧ x3 = _x553 ∧ x4 = _x554 ∧ x5 = _x555 ∧ x6 = _x556 ∧ x7 = _x557 ∧ x8 = _x558 ∧ x9 = _x559 ∧ x10 = _x560 ∧ x11 = _x561 ∧ x12 = _x562 ∧ x13 = _x563 ∧ x14 = _x564 ∧ x15 = _x565 ∧ x16 = _x566 ∧ x17 = _x567 ∧ x18 = _x568 ∧ x19 = _x569 ∧ x20 = _x570 ∧ x21 = _x571 ∧ x22 = _x572 ∧ x23 = _x573 ∧ x24 = _x574 ∧ x25 = _x575 ∧ 0 ≤ _x527 − 1 ∧ −1 ≤ _x576 − 1 ∧ 0 ≤ _x531 − 1 ∧ 0 ≤ _x528 − 1 ∧ −1 ≤ _x545 − 1 ∧ _x545 ≤ _x576 − 1 ∧ 0 ≤ _x535 − 1 ∧ 0 ≤ _x529 − 1 ∧ 0 ≤ _x538 − 1 ∧ 0 ≤ _x536 − 1 ∧ 0 ≤ _x537 − 1 ∧ −1 ≤ _x577 − 1 ∧ 0 ≤ _x534 − 1 ∧ 0 ≤ _x530 − 1 ∧ 0 ≤ _x543 − 1 ∧ 0 ≤ _x539 − 1 ∧ 0 ≤ _x544 − 1 ∧ 0 ≤ _x542 − 1 ∧ 0 ≤ _x540 − 1 ∧ 0 ≤ _x541 − 1 ∧ −1 ≤ _x550 − 1 ∧ −1 ≤ _x546 − 1 ∧ 9 ≤ _x526 − 1 ∧ 9 ≤ _x551 − 1 ∧ _x546 + 5 ≤ _x526 ∧ _x547 + 9 ≤ _x526 ∧ _x548 + 9 ≤ _x526 ∧ _x550 + 3 ≤ _x526 ∧ _x549 + 9 ≤ _x526 ∧ _x527 − 1 = _x552 ∧ _x528 = _x553 ∧ _x531 = _x556 ∧ _x532 = _x557 ∧ _x533 = _x558 ∧ _x535 = _x560 ∧ _x537 = _x562 ∧ _x545 + 1 = _x570 ∧ _x546 + 1 = _x571 ∧ _x550 + 1 = _x575 f1640_0_createList_LE 13 f1640_0_createList_LE: x1 = _x578 ∧ x2 = _x579 ∧ x3 = _x580 ∧ x4 = _x581 ∧ x5 = _x582 ∧ x6 = _x583 ∧ x7 = _x584 ∧ x8 = _x585 ∧ x9 = _x586 ∧ x10 = _x587 ∧ x11 = _x588 ∧ x12 = _x589 ∧ x13 = _x590 ∧ x14 = _x591 ∧ x15 = _x592 ∧ x16 = _x593 ∧ x17 = _x594 ∧ x18 = _x595 ∧ x19 = _x596 ∧ x20 = _x597 ∧ x21 = _x598 ∧ x22 = _x599 ∧ x23 = _x600 ∧ x24 = _x601 ∧ x25 = _x602 ∧ x1 = _x603 ∧ x2 = _x604 ∧ x3 = _x605 ∧ x4 = _x606 ∧ x5 = _x607 ∧ x6 = _x608 ∧ x7 = _x609 ∧ x8 = _x610 ∧ x9 = _x611 ∧ x10 = _x612 ∧ x11 = _x613 ∧ x12 = _x614 ∧ x13 = _x615 ∧ x14 = _x616 ∧ x15 = _x617 ∧ x16 = _x618 ∧ x17 = _x619 ∧ x18 = _x620 ∧ x19 = _x621 ∧ x20 = _x622 ∧ x21 = _x623 ∧ x22 = _x624 ∧ x23 = _x625 ∧ x24 = _x626 ∧ x25 = _x627 ∧ 0 ≤ _x579 − 1 ∧ −1 ≤ _x628 − 1 ∧ 0 ≤ _x583 − 1 ∧ 0 ≤ _x580 − 1 ∧ −1 ≤ _x597 − 1 ∧ _x597 ≤ _x628 − 1 ∧ 0 ≤ _x587 − 1 ∧ 0 ≤ _x589 − 1 ∧ −1 ≤ _x629 − 1 ∧ 0 ≤ _x595 − 1 ∧ 0 ≤ _x596 − 1 ∧ 0 ≤ _x594 − 1 ∧ 0 ≤ _x585 − 1 ∧ −1 ≤ _x602 − 1 ∧ −1 ≤ _x598 − 1 ∧ 11 ≤ _x578 − 1 ∧ 13 ≤ _x603 − 1 ∧ _x598 + 5 ≤ _x578 ∧ _x599 + 9 ≤ _x578 ∧ _x600 + 9 ≤ _x578 ∧ _x601 + 9 ≤ _x578 ∧ _x602 + 3 ≤ _x578 ∧ _x585 = _x586 ∧ _x587 = _x588 ∧ _x589 = _x590 ∧ _x584 = _x593 ∧ _x579 − 1 = _x604 ∧ 0 = _x605 ∧ 1 = _x606 ∧ 1 = _x607 ∧ _x585 = _x610 ∧ _x587 = _x612 ∧ _x589 = _x614 ∧ 0 = _x615 ∧ 2 = _x617 ∧ _x597 + 1 = _x622 ∧ _x598 + 1 = _x623 ∧ _x602 + 1 = _x627 __init 14 f1_0_main_Load: 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 ∧ x16 = _x645 ∧ x17 = _x646 ∧ x18 = _x647 ∧ x19 = _x648 ∧ x20 = _x649 ∧ x21 = _x650 ∧ x22 = _x651 ∧ x23 = _x652 ∧ x24 = _x653 ∧ x25 = _x654 ∧ x1 = _x655 ∧ x2 = _x656 ∧ x3 = _x657 ∧ x4 = _x658 ∧ x5 = _x659 ∧ x6 = _x660 ∧ x7 = _x661 ∧ x8 = _x662 ∧ x9 = _x663 ∧ x10 = _x664 ∧ x11 = _x665 ∧ x12 = _x666 ∧ x13 = _x667 ∧ x14 = _x668 ∧ x15 = _x669 ∧ x16 = _x670 ∧ x17 = _x671 ∧ x18 = _x672 ∧ x19 = _x673 ∧ x20 = _x674 ∧ x21 = _x675 ∧ x22 = _x676 ∧ x23 = _x677 ∧ x24 = _x678 ∧ x25 = _x679 ∧ 0 ≤ 0

## Proof

### 1 Switch to Cooperation Termination Proof

We consider the following cutpoint-transitions:
 f1666_0_random_ArrayAccess f1666_0_random_ArrayAccess f1666_0_random_ArrayAccess: 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 f494_0_createList_Return f494_0_createList_Return f494_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 f475_0_createList_Load f475_0_createList_Load f475_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 f2127_0_entry_LE f2127_0_entry_LE f2127_0_entry_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 f864_0_createList_Load f864_0_createList_Load f864_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 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 f1640_0_createList_LE f1640_0_createList_LE f1640_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 f2217_0_entry_GT f2217_0_entry_GT f2217_0_entry_GT: 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 3 SCC(s) of the program graph.

### 2.1 SCC Subproblem 1/3

Here we consider the SCC { f2217_0_entry_GT }.

### 2.1.1 Transition Removal

We remove transitions 8, 9 using the following ranking functions, which are bounded by 0.

 f2217_0_entry_GT: − x1 + x2

### 2.1.2 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 { f2127_0_entry_LE }.

### 2.2.1 Transition Removal

We remove transitions 5, 6 using the following ranking functions, which are bounded by 0.

 f2127_0_entry_LE: x1 − x2

### 2.2.2 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 { f1640_0_createList_LE }.

### 2.3.1 Transition Removal

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

 f1640_0_createList_LE: x2

### 2.3.2 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 % (10 real / 0 unknown / 0 assumptions / 10 total proof steps)