LTS Termination Proof

by AProVE

Input

• Initial Location: f4401_0_get_NULL, f4637_0_put_EQ, f5083_0_transfer_GE, f5178_0_transfer_ArrayAccess, f4559_0_put_NULL, f596_0_createMap_Return, f1_0_main_Load, f3849_0_createMap_LE, f4483_0_get_EQ, __init, f3927_0_random_ArrayAccess
• Transitions: (pre-variables and post-variables)

  f1_0_main_Load	1	f3927_0_random_ArrayAccess:		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 ∧ 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 ∧ −1 ≤ _x7 − 1 ∧ 0 ≤ _arg2 − 1 ∧ 0 ≤ _arg1 − 1 ∧ 3 ≤ _arg1P − 1 ∧ _arg2 = _arg2P
  f596_0_createMap_Return	2	f3927_0_random_ArrayAccess:		x1 = _x ∧ x2 = _x1 ∧ x3 = _x2 ∧ x4 = _x3 ∧ x5 = _x4 ∧ x6 = _x5 ∧ x7 = _x6 ∧ x8 = _x8 ∧ x9 = _x9 ∧ x10 = _x10 ∧ x11 = _x11 ∧ x12 = _x12 ∧ x13 = _x13 ∧ x1 = _x14 ∧ x2 = _x15 ∧ x3 = _x16 ∧ x4 = _x17 ∧ x5 = _x18 ∧ x6 = _x19 ∧ x7 = _x20 ∧ x8 = _x21 ∧ x9 = _x22 ∧ x10 = _x23 ∧ x11 = _x24 ∧ x12 = _x25 ∧ x13 = _x26 ∧ 12 = _x18 ∧ _x4 = _x17 ∧ 16 = _x16 ∧ 12 = _x5 ∧ 16 = _x3 ∧ _x4 + 3 ≤ _x1 ∧ 14 ≤ _x14 − 1 ∧ 14 ≤ _x1 − 1 ∧ 0 ≤ _x − 1 ∧ _x14 ≤ _x1
  f1_0_main_Load	3	f3849_0_createMap_LE:		x1 = _x27 ∧ x2 = _x28 ∧ x3 = _x31 ∧ x4 = _x33 ∧ x5 = _x34 ∧ x6 = _x35 ∧ x7 = _x36 ∧ x8 = _x37 ∧ x9 = _x38 ∧ x10 = _x41 ∧ x11 = _x42 ∧ x12 = _x43 ∧ x13 = _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 ∧ 12 = _x51 ∧ 0 = _x50 ∧ 16 = _x49 ∧ 1 = _x48 ∧ _x28 = _x47 ∧ 14 ≤ _x45 − 1 ∧ 0 ≤ _x27 − 1 ∧ _x45 − 14 ≤ _x27 ∧ 0 ≤ _x28 − 1 ∧ −1 ≤ _x46 − 1
  f3849_0_createMap_LE	4	f3849_0_createMap_LE:		x1 = _x58 ∧ x2 = _x59 ∧ x3 = _x61 ∧ x4 = _x62 ∧ x5 = _x63 ∧ x6 = _x65 ∧ x7 = _x66 ∧ x8 = _x67 ∧ x9 = _x68 ∧ x10 = _x69 ∧ x11 = _x70 ∧ x12 = _x71 ∧ x13 = _x72 ∧ x1 = _x73 ∧ x2 = _x74 ∧ x3 = _x75 ∧ x4 = _x76 ∧ x5 = _x77 ∧ x6 = _x78 ∧ x7 = _x79 ∧ x8 = _x80 ∧ x9 = _x81 ∧ x10 = _x82 ∧ x11 = _x83 ∧ x12 = _x84 ∧ x13 = _x85 ∧ 0 ≤ _x59 − 1 ∧ _x62 + 1 ≤ _x61 − 1 ∧ −1 ≤ _x61 − 1 ∧ −1 ≤ _x62 − 1 ∧ −1 ≤ _x86 − 1 ∧ −1 ≤ _x87 − 1 ∧ 1 ≤ _x63 − 1 ∧ 3 ≤ _x58 − 1 ∧ 3 ≤ _x73 − 1 ∧ _x66 + 3 ≤ _x58 ∧ _x65 + 3 ≤ _x58 ∧ _x59 − 1 = _x74 ∧ _x61 = _x75 ∧ _x62 + 2 = _x76
  f3927_0_random_ArrayAccess	5	f4401_0_get_NULL:		x1 = _x88 ∧ x2 = _x89 ∧ x3 = _x92 ∧ x4 = _x93 ∧ x5 = _x94 ∧ x6 = _x95 ∧ x7 = _x96 ∧ x8 = _x97 ∧ x9 = _x98 ∧ x10 = _x99 ∧ x11 = _x100 ∧ x12 = _x101 ∧ x13 = _x102 ∧ x1 = _x103 ∧ x2 = _x104 ∧ x3 = _x105 ∧ x4 = _x106 ∧ x5 = _x107 ∧ x6 = _x108 ∧ x7 = _x109 ∧ x8 = _x110 ∧ x9 = _x111 ∧ x10 = _x112 ∧ x11 = _x113 ∧ x12 = _x114 ∧ x13 = _x115 ∧ _x116 ≤ _x89 − 1 ∧ 1 ≤ _x92 − 1 ∧ −1 ≤ _x116 − 1 ∧ −1 ≤ _x117 − 1 ∧ 0 ≤ _x89 − 1 ∧ _x118 ≤ _x92 − 1 ∧ 3 ≤ _x88 − 1 ∧ −1 ≤ _x104 − 1 ∧ _x94 + 3 ≤ _x88 ∧ _x93 + 3 ≤ _x88
  f4401_0_get_NULL	6	f1685_0_equals_CheckCast:		x1 = _x119 ∧ x2 = _x120 ∧ x3 = _x121 ∧ x4 = _x122 ∧ x5 = _x123 ∧ x6 = _x124 ∧ x7 = _x125 ∧ x8 = _x126 ∧ x9 = _x127 ∧ x10 = _x128 ∧ x11 = _x129 ∧ x12 = _x130 ∧ x13 = _x131 ∧ x1 = _x132 ∧ x2 = _x133 ∧ x3 = _x134 ∧ x4 = _x135 ∧ x5 = _x136 ∧ x6 = _x137 ∧ x7 = _x139 ∧ x8 = _x140 ∧ x9 = _x141 ∧ x10 = _x142 ∧ x11 = _x143 ∧ x12 = _x144 ∧ x13 = _x145 ∧ _x119 + 2 ≤ _x120 ∧ _x134 + 2 ≤ _x120 ∧ 0 ≤ _x133 − 1 ∧ 0 ≤ _x120 − 1
  f4401_0_get_NULL	7	f4483_0_get_EQ:		x1 = _x146 ∧ x2 = _x147 ∧ x3 = _x148 ∧ x4 = _x149 ∧ x5 = _x150 ∧ x6 = _x151 ∧ x7 = _x152 ∧ x8 = _x153 ∧ x9 = _x154 ∧ x10 = _x155 ∧ x11 = _x156 ∧ x12 = _x157 ∧ x13 = _x158 ∧ x1 = _x159 ∧ x2 = _x160 ∧ x3 = _x161 ∧ x4 = _x162 ∧ x5 = _x163 ∧ x6 = _x164 ∧ x7 = _x165 ∧ x8 = _x166 ∧ x9 = _x167 ∧ x10 = _x168 ∧ x11 = _x169 ∧ x12 = _x170 ∧ x13 = _x171 ∧ _x146 = _x162 ∧ 0 = _x160 ∧ _x164 + 4 ≤ _x147 ∧ _x146 + 2 ≤ _x147 ∧ −1 ≤ _x163 − 1 ∧ 2 ≤ _x159 − 1 ∧ 2 ≤ _x147 − 1 ∧ _x163 + 2 ≤ _x147 ∧ _x159 ≤ _x147
  f4401_0_get_NULL	8	f4483_0_get_EQ:		x1 = _x172 ∧ x2 = _x173 ∧ x3 = _x174 ∧ x4 = _x175 ∧ x5 = _x176 ∧ x6 = _x177 ∧ x7 = _x178 ∧ x8 = _x179 ∧ x9 = _x180 ∧ x10 = _x181 ∧ x11 = _x182 ∧ x12 = _x183 ∧ x13 = _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 ∧ _x172 = _x188 ∧ 1 = _x186 ∧ _x190 + 4 ≤ _x173 ∧ _x172 + 2 ≤ _x173 ∧ −1 ≤ _x189 − 1 ∧ 2 ≤ _x185 − 1 ∧ 2 ≤ _x173 − 1 ∧ _x189 + 2 ≤ _x173 ∧ _x185 ≤ _x173
  f4401_0_get_NULL	9	f4401_0_get_NULL:		x1 = _x198 ∧ x2 = _x199 ∧ x3 = _x200 ∧ x4 = _x201 ∧ x5 = _x202 ∧ x6 = _x203 ∧ x7 = _x204 ∧ x8 = _x205 ∧ x9 = _x206 ∧ x10 = _x207 ∧ x11 = _x208 ∧ x12 = _x209 ∧ x13 = _x210 ∧ x1 = _x211 ∧ x2 = _x212 ∧ x3 = _x213 ∧ x4 = _x214 ∧ x5 = _x215 ∧ x6 = _x216 ∧ x7 = _x217 ∧ x8 = _x218 ∧ x9 = _x219 ∧ x10 = _x220 ∧ x11 = _x221 ∧ x12 = _x222 ∧ x13 = _x223 ∧ _x212 + 1 ≤ _x199 ∧ _x224 ≤ _x198 − 1 ∧ 0 ≤ _x199 − 1 ∧ −1 ≤ _x212 − 1 ∧ _x198 = _x211
  f4401_0_get_NULL	10	f4401_0_get_NULL:		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 ∧ x1 = _x238 ∧ x2 = _x239 ∧ x3 = _x240 ∧ x4 = _x241 ∧ x5 = _x242 ∧ x6 = _x243 ∧ x7 = _x244 ∧ x8 = _x245 ∧ x9 = _x246 ∧ x10 = _x247 ∧ x11 = _x248 ∧ x12 = _x249 ∧ x13 = _x250 ∧ _x239 + 1 ≤ _x226 ∧ _x225 ≤ _x251 − 1 ∧ 0 ≤ _x226 − 1 ∧ −1 ≤ _x239 − 1 ∧ _x225 = _x238
  f4401_0_get_NULL	11	f4401_0_get_NULL:		x1 = _x252 ∧ x2 = _x253 ∧ x3 = _x254 ∧ x4 = _x255 ∧ x5 = _x256 ∧ x6 = _x257 ∧ x7 = _x258 ∧ x8 = _x259 ∧ x9 = _x260 ∧ x10 = _x261 ∧ x11 = _x262 ∧ x12 = _x263 ∧ x13 = _x265 ∧ x1 = _x266 ∧ x2 = _x267 ∧ x3 = _x268 ∧ x4 = _x269 ∧ x5 = _x270 ∧ x6 = _x271 ∧ x7 = _x272 ∧ x8 = _x273 ∧ x9 = _x274 ∧ x10 = _x275 ∧ x11 = _x276 ∧ x12 = _x277 ∧ x13 = _x278 ∧ _x252 = _x266 ∧ _x252 + 2 ≤ _x253 ∧ −1 ≤ _x267 − 1 ∧ 1 ≤ _x253 − 1 ∧ _x267 + 2 ≤ _x253
  f4401_0_get_NULL	12	f4401_0_get_NULL:		x1 = _x279 ∧ x2 = _x280 ∧ x3 = _x281 ∧ x4 = _x282 ∧ x5 = _x283 ∧ x6 = _x284 ∧ x7 = _x285 ∧ x8 = _x286 ∧ x9 = _x287 ∧ x10 = _x288 ∧ x11 = _x289 ∧ x12 = _x290 ∧ x13 = _x291 ∧ x1 = _x292 ∧ x2 = _x293 ∧ x3 = _x294 ∧ x4 = _x295 ∧ x5 = _x296 ∧ x6 = _x297 ∧ x7 = _x298 ∧ x8 = _x299 ∧ x9 = _x300 ∧ x10 = _x301 ∧ x11 = _x302 ∧ x12 = _x303 ∧ x13 = _x304 ∧ _x279 = _x292 ∧ _x279 + 2 ≤ _x280 ∧ −1 ≤ _x293 − 1 ∧ 2 ≤ _x280 − 1 ∧ _x293 + 2 ≤ _x280
  f4483_0_get_EQ	13	f4401_0_get_NULL:		x1 = _x305 ∧ x2 = _x306 ∧ x3 = _x307 ∧ x4 = _x308 ∧ x5 = _x309 ∧ x6 = _x310 ∧ x7 = _x311 ∧ x8 = _x312 ∧ x9 = _x313 ∧ x10 = _x314 ∧ x11 = _x315 ∧ x12 = _x316 ∧ x13 = _x317 ∧ x1 = _x318 ∧ x2 = _x319 ∧ x3 = _x320 ∧ x4 = _x321 ∧ x5 = _x322 ∧ x6 = _x323 ∧ x7 = _x324 ∧ x8 = _x325 ∧ x9 = _x326 ∧ x10 = _x327 ∧ x11 = _x328 ∧ x12 = _x329 ∧ x13 = _x330 ∧ _x308 = _x318 ∧ 0 = _x306 ∧ _x310 + 4 ≤ _x305 ∧ _x308 + 2 ≤ _x305 ∧ −1 ≤ _x319 − 1 ∧ −1 ≤ _x309 − 1 ∧ 2 ≤ _x305 − 1 ∧ _x319 ≤ _x309 ∧ _x319 + 2 ≤ _x305
  f3849_0_createMap_LE	14	f4559_0_put_NULL:		x1 = _x331 ∧ x2 = _x332 ∧ x3 = _x333 ∧ x4 = _x334 ∧ x5 = _x335 ∧ x6 = _x336 ∧ x7 = _x337 ∧ x8 = _x338 ∧ x9 = _x339 ∧ x10 = _x340 ∧ x11 = _x341 ∧ x12 = _x342 ∧ x13 = _x343 ∧ x1 = _x344 ∧ x2 = _x345 ∧ x3 = _x346 ∧ x4 = _x347 ∧ x5 = _x348 ∧ x6 = _x349 ∧ x7 = _x350 ∧ x8 = _x351 ∧ x9 = _x352 ∧ x10 = _x353 ∧ x11 = _x354 ∧ x12 = _x355 ∧ x13 = _x356 ∧ _x334 + 1 ≤ _x333 − 1 ∧ 1 ≤ _x335 − 1 ∧ 0 ≤ _x332 − 1 ∧ −1 ≤ _x333 − 1 ∧ −1 ≤ _x334 − 1 ∧ −1 ≤ _x357 − 1 ∧ −1 ≤ _x358 − 1 ∧ _x346 ≤ _x335 − 1 ∧ _x344 ≤ _x331 ∧ 3 ≤ _x331 − 1 ∧ 3 ≤ _x344 − 1 ∧ −1 ≤ _x347 − 1 ∧ _x337 + 3 ≤ _x331 ∧ _x336 + 3 ≤ _x331 ∧ _x334 + 2 = _x348 ∧ _x335 = _x349 ∧ _x336 = _x350 ∧ _x337 = _x351
  f4559_0_put_NULL	15	f1685_0_equals_CheckCast:		x1 = _x359 ∧ x2 = _x360 ∧ x3 = _x361 ∧ x4 = _x362 ∧ x5 = _x363 ∧ x6 = _x364 ∧ x7 = _x365 ∧ x8 = _x366 ∧ x9 = _x367 ∧ x10 = _x368 ∧ x11 = _x369 ∧ x12 = _x370 ∧ x13 = _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 ∧ x13 = _x384 ∧ _x360 + 2 ≤ _x362 ∧ _x374 + 2 ≤ _x362 ∧ _x366 + 3 ≤ _x359 ∧ _x365 + 3 ≤ _x359 ∧ 0 ≤ _x373 − 1 ∧ 0 ≤ _x362 − 1 ∧ 3 ≤ _x359 − 1 ∧ 1 ≤ _x363 − 1 ∧ 1 ≤ _x364 − 1
  f4559_0_put_NULL	16	f4637_0_put_EQ:		x1 = _x385 ∧ x2 = _x386 ∧ x3 = _x387 ∧ x4 = _x388 ∧ x5 = _x389 ∧ x6 = _x390 ∧ x7 = _x391 ∧ x8 = _x392 ∧ x9 = _x393 ∧ x10 = _x394 ∧ x11 = _x395 ∧ x12 = _x396 ∧ x13 = _x397 ∧ x1 = _x398 ∧ x2 = _x399 ∧ x3 = _x400 ∧ x4 = _x401 ∧ x5 = _x402 ∧ x6 = _x403 ∧ x7 = _x404 ∧ x8 = _x405 ∧ x9 = _x406 ∧ x10 = _x407 ∧ x11 = _x408 ∧ x12 = _x409 ∧ x13 = _x410 ∧ _x386 = _x406 ∧ _x392 = _x405 ∧ _x391 = _x404 ∧ _x390 = _x403 ∧ _x389 = _x402 ∧ 0 = _x401 ∧ _x387 = _x399 ∧ _x408 + 4 ≤ _x388 ∧ _x386 + 2 ≤ _x388 ∧ _x392 + 3 ≤ _x385 ∧ _x391 + 3 ≤ _x385 ∧ −1 ≤ _x407 − 1 ∧ 2 ≤ _x400 − 1 ∧ 3 ≤ _x398 − 1 ∧ 2 ≤ _x388 − 1 ∧ 3 ≤ _x385 − 1 ∧ _x407 + 2 ≤ _x388 ∧ _x400 ≤ _x388 ∧ _x398 ≤ _x385 ∧ 1 ≤ _x389 − 1 ∧ 1 ≤ _x390 − 1
  f4559_0_put_NULL	17	f4637_0_put_EQ:		x1 = _x411 ∧ x2 = _x412 ∧ x3 = _x413 ∧ x4 = _x414 ∧ x5 = _x415 ∧ x6 = _x416 ∧ x7 = _x417 ∧ x8 = _x418 ∧ x9 = _x419 ∧ x10 = _x420 ∧ x11 = _x421 ∧ x12 = _x422 ∧ x13 = _x423 ∧ x1 = _x424 ∧ x2 = _x425 ∧ x3 = _x426 ∧ x4 = _x427 ∧ x5 = _x428 ∧ x6 = _x429 ∧ x7 = _x430 ∧ x8 = _x431 ∧ x9 = _x432 ∧ x10 = _x433 ∧ x11 = _x434 ∧ x12 = _x435 ∧ x13 = _x436 ∧ _x412 = _x432 ∧ _x418 = _x431 ∧ _x417 = _x430 ∧ _x416 = _x429 ∧ _x415 = _x428 ∧ 1 = _x427 ∧ _x413 = _x425 ∧ _x434 + 4 ≤ _x414 ∧ _x412 + 2 ≤ _x414 ∧ _x418 + 3 ≤ _x411 ∧ _x417 + 3 ≤ _x411 ∧ −1 ≤ _x433 − 1 ∧ 2 ≤ _x426 − 1 ∧ 3 ≤ _x424 − 1 ∧ 2 ≤ _x414 − 1 ∧ 3 ≤ _x411 − 1 ∧ _x433 + 2 ≤ _x414 ∧ _x426 ≤ _x414 ∧ _x424 ≤ _x411 ∧ 1 ≤ _x415 − 1 ∧ 1 ≤ _x416 − 1
  f4559_0_put_NULL	18	f4559_0_put_NULL:		x1 = _x437 ∧ x2 = _x438 ∧ x3 = _x439 ∧ x4 = _x440 ∧ x5 = _x441 ∧ x6 = _x442 ∧ x7 = _x443 ∧ x8 = _x444 ∧ x9 = _x445 ∧ x10 = _x446 ∧ x11 = _x447 ∧ x12 = _x448 ∧ x13 = _x449 ∧ 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 ∧ _x450 ≤ _x437 ∧ _x463 ≤ _x438 − 1 ∧ _x453 + 1 ≤ _x440 ∧ 3 ≤ _x437 − 1 ∧ 0 ≤ _x440 − 1 ∧ 3 ≤ _x450 − 1 ∧ −1 ≤ _x453 − 1 ∧ _x443 + 3 ≤ _x437 ∧ _x444 + 3 ≤ _x437 ∧ _x438 = _x451 ∧ _x439 = _x452 ∧ _x441 = _x454 ∧ _x442 = _x455 ∧ _x443 = _x456 ∧ _x444 = _x457
  f4559_0_put_NULL	19	f4559_0_put_NULL:		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 ∧ x1 = _x477 ∧ x2 = _x478 ∧ x3 = _x479 ∧ x4 = _x480 ∧ x5 = _x481 ∧ x6 = _x482 ∧ x7 = _x483 ∧ x8 = _x484 ∧ x9 = _x485 ∧ x10 = _x486 ∧ x11 = _x487 ∧ x12 = _x488 ∧ x13 = _x489 ∧ _x477 ≤ _x464 ∧ _x465 ≤ _x490 − 1 ∧ _x480 + 1 ≤ _x467 ∧ 3 ≤ _x464 − 1 ∧ 0 ≤ _x467 − 1 ∧ 3 ≤ _x477 − 1 ∧ −1 ≤ _x480 − 1 ∧ _x470 + 3 ≤ _x464 ∧ _x471 + 3 ≤ _x464 ∧ _x465 = _x478 ∧ _x466 = _x479 ∧ _x468 = _x481 ∧ _x469 = _x482 ∧ _x470 = _x483 ∧ _x471 = _x484
  f4559_0_put_NULL	20	f4559_0_put_NULL:		x1 = _x491 ∧ x2 = _x492 ∧ x3 = _x493 ∧ x4 = _x494 ∧ x5 = _x495 ∧ x6 = _x496 ∧ x7 = _x497 ∧ x8 = _x498 ∧ x9 = _x499 ∧ x10 = _x500 ∧ x11 = _x501 ∧ x12 = _x502 ∧ x13 = _x503 ∧ x1 = _x504 ∧ x2 = _x505 ∧ x3 = _x506 ∧ x4 = _x507 ∧ x5 = _x508 ∧ x6 = _x509 ∧ x7 = _x510 ∧ x8 = _x511 ∧ x9 = _x512 ∧ x10 = _x513 ∧ x11 = _x514 ∧ x12 = _x515 ∧ x13 = _x516 ∧ _x498 = _x511 ∧ _x497 = _x510 ∧ _x496 = _x509 ∧ _x495 = _x508 ∧ _x493 = _x506 ∧ _x492 = _x505 ∧ _x492 + 2 ≤ _x494 ∧ _x498 + 3 ≤ _x491 ∧ _x497 + 3 ≤ _x491 ∧ −1 ≤ _x507 − 1 ∧ 3 ≤ _x504 − 1 ∧ 1 ≤ _x494 − 1 ∧ 3 ≤ _x491 − 1 ∧ _x507 + 2 ≤ _x494 ∧ _x504 ≤ _x491 ∧ 1 ≤ _x495 − 1 ∧ 1 ≤ _x496 − 1
  f4559_0_put_NULL	21	f4559_0_put_NULL:		x1 = _x517 ∧ x2 = _x518 ∧ x3 = _x519 ∧ x4 = _x520 ∧ x5 = _x521 ∧ x6 = _x522 ∧ x7 = _x523 ∧ x8 = _x524 ∧ x9 = _x525 ∧ x10 = _x526 ∧ x11 = _x527 ∧ x12 = _x528 ∧ x13 = _x529 ∧ x1 = _x530 ∧ x2 = _x531 ∧ x3 = _x532 ∧ x4 = _x533 ∧ x5 = _x534 ∧ x6 = _x535 ∧ x7 = _x536 ∧ x8 = _x537 ∧ x9 = _x538 ∧ x10 = _x539 ∧ x11 = _x540 ∧ x12 = _x541 ∧ x13 = _x542 ∧ _x524 = _x537 ∧ _x523 = _x536 ∧ _x522 = _x535 ∧ _x521 = _x534 ∧ _x519 = _x532 ∧ _x518 = _x531 ∧ _x518 + 2 ≤ _x520 ∧ _x524 + 3 ≤ _x517 ∧ _x523 + 3 ≤ _x517 ∧ −1 ≤ _x533 − 1 ∧ 3 ≤ _x530 − 1 ∧ 2 ≤ _x520 − 1 ∧ 3 ≤ _x517 − 1 ∧ _x533 + 2 ≤ _x520 ∧ _x530 ≤ _x517 ∧ 1 ≤ _x521 − 1 ∧ 1 ≤ _x522 − 1
  f4637_0_put_EQ	22	f4559_0_put_NULL:		x1 = _x543 ∧ x2 = _x544 ∧ x3 = _x545 ∧ x4 = _x546 ∧ x5 = _x547 ∧ x6 = _x548 ∧ x7 = _x549 ∧ x8 = _x550 ∧ x9 = _x551 ∧ x10 = _x552 ∧ x11 = _x553 ∧ x12 = _x554 ∧ x13 = _x555 ∧ x1 = _x556 ∧ x2 = _x557 ∧ x3 = _x558 ∧ x4 = _x559 ∧ x5 = _x560 ∧ x6 = _x561 ∧ x7 = _x562 ∧ x8 = _x563 ∧ x9 = _x564 ∧ x10 = _x565 ∧ x11 = _x566 ∧ x12 = _x567 ∧ x13 = _x568 ∧ _x550 = _x563 ∧ _x549 = _x562 ∧ _x548 = _x561 ∧ _x547 = _x560 ∧ _x544 = _x558 ∧ _x551 = _x557 ∧ 0 = _x546 ∧ _x553 + 4 ≤ _x545 ∧ _x551 + 2 ≤ _x545 ∧ _x550 + 3 ≤ _x543 ∧ _x549 + 3 ≤ _x543 ∧ −1 ≤ _x559 − 1 ∧ 3 ≤ _x556 − 1 ∧ −1 ≤ _x552 − 1 ∧ 2 ≤ _x545 − 1 ∧ 3 ≤ _x543 − 1 ∧ _x559 ≤ _x552 ∧ _x559 + 2 ≤ _x545 ∧ _x556 ≤ _x543
  f4559_0_put_NULL	23	f5083_0_transfer_GE:		x1 = _x569 ∧ x2 = _x570 ∧ x3 = _x571 ∧ x4 = _x572 ∧ x5 = _x573 ∧ x6 = _x574 ∧ x7 = _x575 ∧ x8 = _x576 ∧ x9 = _x577 ∧ x10 = _x578 ∧ x11 = _x579 ∧ x12 = _x580 ∧ x13 = _x581 ∧ x1 = _x582 ∧ x2 = _x583 ∧ x3 = _x584 ∧ x4 = _x585 ∧ x5 = _x586 ∧ x6 = _x587 ∧ x7 = _x588 ∧ x8 = _x589 ∧ x9 = _x590 ∧ x10 = _x591 ∧ x11 = _x592 ∧ x12 = _x593 ∧ x13 = _x594 ∧ _x574 = _x589 ∧ 2⋅_x574 = _x588 ∧ _x576 = _x587 ∧ _x575 + 1 = _x586 ∧ 0 = _x585 ∧ _x576 + 3 ≤ _x569 ∧ _x575 + 3 ≤ _x569 ∧ 0 ≤ _x584 − 1 ∧ 0 ≤ _x583 − 1 ∧ 3 ≤ _x582 − 1 ∧ −1 ≤ _x572 − 1 ∧ 3 ≤ _x569 − 1 ∧ _x584 − 1 ≤ _x572 ∧ _x584 + 3 ≤ _x569 ∧ _x583 − 1 ≤ _x572 ∧ _x583 + 3 ≤ _x569 ∧ _x582 − 1 ≤ _x569 ∧ _x574 ≤ 1073741823 ∧ 0 ≤ 2⋅_x574 ∧ _x576 ≤ _x575 ∧ 1 ≤ _x574 − 1 ∧ _x571 ≤ _x574 − 1
  f4559_0_put_NULL	24	f5083_0_transfer_GE:		x1 = _x595 ∧ x2 = _x596 ∧ x3 = _x597 ∧ x4 = _x598 ∧ x5 = _x599 ∧ x6 = _x600 ∧ x7 = _x601 ∧ x8 = _x602 ∧ x9 = _x603 ∧ x10 = _x604 ∧ x11 = _x605 ∧ x12 = _x606 ∧ x13 = _x607 ∧ x1 = _x608 ∧ x2 = _x609 ∧ x3 = _x610 ∧ x4 = _x611 ∧ x5 = _x612 ∧ x6 = _x613 ∧ x7 = _x614 ∧ x8 = _x615 ∧ x9 = _x616 ∧ x10 = _x617 ∧ x11 = _x618 ∧ x12 = _x619 ∧ x13 = _x620 ∧ _x600 = _x615 ∧ 2⋅_x600 = _x614 ∧ _x602 = _x613 ∧ _x601 + 1 = _x612 ∧ 0 = _x611 ∧ _x602 + 3 ≤ _x595 ∧ _x601 + 3 ≤ _x595 ∧ 0 ≤ _x610 − 1 ∧ 0 ≤ _x609 − 1 ∧ 3 ≤ _x608 − 1 ∧ −1 ≤ _x598 − 1 ∧ 3 ≤ _x595 − 1 ∧ _x610 − 1 ≤ _x598 ∧ _x610 + 3 ≤ _x595 ∧ _x609 − 1 ≤ _x598 ∧ _x609 + 3 ≤ _x595 ∧ _x608 − 1 ≤ _x595 ∧ _x602 ≤ _x601 ∧ 0 ≤ 2⋅_x600 ∧ 1073741824 ≤ _x600 − 1 ∧ _x597 ≤ _x600 − 1
  f5083_0_transfer_GE	25	f5178_0_transfer_ArrayAccess:		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 ∧ x1 = _x634 ∧ x2 = _x635 ∧ x3 = _x636 ∧ x4 = _x637 ∧ x5 = _x638 ∧ x6 = _x639 ∧ x7 = _x640 ∧ x8 = _x641 ∧ x9 = _x642 ∧ x10 = _x643 ∧ x11 = _x644 ∧ x12 = _x645 ∧ x13 = _x646 ∧ _x627 = _x646 ∧ _x628 = _x643 ∧ _x626 = _x642 ∧ _x625 = _x641 ∧ _x624 = _x636 ∧ _x626 + 3 ≤ _x621 ∧ _x625 + 3 ≤ _x621 ∧ 0 ≤ _x639 − 1 ∧ 0 ≤ _x638 − 1 ∧ −1 ≤ _x637 − 1 ∧ 0 ≤ _x635 − 1 ∧ 3 ≤ _x634 − 1 ∧ 0 ≤ _x623 − 1 ∧ 0 ≤ _x622 − 1 ∧ 3 ≤ _x621 − 1 ∧ _x639 ≤ _x623 ∧ _x639 ≤ _x622 ∧ _x639 + 3 ≤ _x621 ∧ _x635 ≤ _x623 ∧ _x635 ≤ _x622 ∧ _x635 + 3 ≤ _x621 ∧ _x634 ≤ _x621 ∧ _x624 ≤ _x628 − 1 ∧ 0 ≤ _x627 − 1
  f5178_0_transfer_ArrayAccess	26	f5178_0_transfer_ArrayAccess:		x1 = _x647 ∧ x2 = _x648 ∧ x3 = _x649 ∧ x4 = _x650 ∧ x5 = _x651 ∧ x6 = _x652 ∧ x7 = _x653 ∧ x8 = _x654 ∧ x9 = _x655 ∧ x10 = _x656 ∧ x11 = _x657 ∧ x12 = _x658 ∧ x13 = _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 ∧ x13 = _x672 ∧ _x659 = _x672 ∧ _x656 = _x669 ∧ _x655 = _x668 ∧ _x654 = _x667 ∧ _x649 = _x662 ∧ _x658 + 2 ≤ _x651 ∧ _x671 + 4 ≤ _x651 ∧ _x670 + 4 ≤ _x651 ∧ _x657 + 2 ≤ _x651 ∧ _x671 + 2 ≤ _x650 ∧ _x670 + 2 ≤ _x650 ∧ _x655 + 3 ≤ _x647 ∧ _x654 + 3 ≤ _x647 ∧ 0 ≤ _x665 − 1 ∧ 0 ≤ _x664 − 1 ∧ −1 ≤ _x663 − 1 ∧ 0 ≤ _x661 − 1 ∧ 3 ≤ _x660 − 1 ∧ 0 ≤ _x652 − 1 ∧ 2 ≤ _x651 − 1 ∧ 0 ≤ _x650 − 1 ∧ 0 ≤ _x648 − 1 ∧ 3 ≤ _x647 − 1 ∧ _x665 ≤ _x652 ∧ _x665 + 2 ≤ _x651 ∧ _x665 ≤ _x650 ∧ _x665 ≤ _x648 ∧ _x665 + 3 ≤ _x647 ∧ _x664 + 2 ≤ _x651 ∧ _x664 ≤ _x650 ∧ _x663 + 3 ≤ _x651 ∧ _x663 + 1 ≤ _x650 ∧ _x661 ≤ _x652 ∧ _x661 + 2 ≤ _x651 ∧ _x661 ≤ _x650 ∧ _x661 ≤ _x648 ∧ _x661 + 3 ≤ _x647 ∧ _x660 ≤ _x647 ∧ 0 ≤ _x659 − 1 ∧ _x653 ≤ _x659 − 1
  f5083_0_transfer_GE	27	f5083_0_transfer_GE:		x1 = _x673 ∧ x2 = _x674 ∧ x3 = _x675 ∧ x4 = _x676 ∧ x5 = _x677 ∧ x6 = _x678 ∧ x7 = _x679 ∧ x8 = _x680 ∧ x9 = _x681 ∧ x10 = _x682 ∧ x11 = _x683 ∧ x12 = _x684 ∧ x13 = _x685 ∧ x1 = _x686 ∧ x2 = _x687 ∧ x3 = _x688 ∧ x4 = _x689 ∧ x5 = _x690 ∧ x6 = _x691 ∧ x7 = _x692 ∧ x8 = _x693 ∧ x9 = _x694 ∧ x10 = _x695 ∧ x11 = _x696 ∧ x12 = _x697 ∧ x13 = _x698 ∧ _x680 = _x693 ∧ _x679 = _x692 ∧ _x678 = _x691 ∧ _x677 = _x690 ∧ _x676 + 1 = _x689 ∧ _x678 + 3 ≤ _x673 ∧ _x677 + 3 ≤ _x673 ∧ 0 ≤ _x688 − 1 ∧ 0 ≤ _x687 − 1 ∧ 3 ≤ _x686 − 1 ∧ 0 ≤ _x675 − 1 ∧ 0 ≤ _x674 − 1 ∧ 3 ≤ _x673 − 1 ∧ _x688 ≤ _x675 ∧ _x688 ≤ _x674 ∧ _x688 + 3 ≤ _x673 ∧ _x687 ≤ _x675 ∧ _x687 ≤ _x674 ∧ _x687 + 3 ≤ _x673 ∧ _x686 ≤ _x673 ∧ _x676 ≤ _x680 − 1 ∧ −1 ≤ _x680 − 1
  f5178_0_transfer_ArrayAccess	28	f5083_0_transfer_GE:		x1 = _x699 ∧ x2 = _x700 ∧ x3 = _x701 ∧ x4 = _x702 ∧ x5 = _x703 ∧ x6 = _x704 ∧ x7 = _x705 ∧ x8 = _x706 ∧ x9 = _x707 ∧ x10 = _x708 ∧ x11 = _x709 ∧ x12 = _x710 ∧ x13 = _x711 ∧ x1 = _x712 ∧ x2 = _x713 ∧ x3 = _x714 ∧ x4 = _x715 ∧ x5 = _x716 ∧ x6 = _x717 ∧ x7 = _x718 ∧ x8 = _x719 ∧ x9 = _x720 ∧ x10 = _x721 ∧ x11 = _x722 ∧ x12 = _x723 ∧ x13 = _x724 ∧ _x708 = _x719 ∧ _x711 = _x718 ∧ _x707 = _x717 ∧ _x706 = _x716 ∧ _x701 + 1 = _x715 ∧ _x710 + 2 ≤ _x703 ∧ _x709 + 2 ≤ _x703 ∧ _x707 + 3 ≤ _x699 ∧ _x706 + 3 ≤ _x699 ∧ 0 ≤ _x714 − 1 ∧ 0 ≤ _x713 − 1 ∧ 3 ≤ _x712 − 1 ∧ 0 ≤ _x704 − 1 ∧ 1 ≤ _x703 − 1 ∧ −1 ≤ _x702 − 1 ∧ 0 ≤ _x700 − 1 ∧ 3 ≤ _x699 − 1 ∧ _x714 ≤ _x704 ∧ _x714 + 1 ≤ _x703 ∧ _x714 − 1 ≤ _x702 ∧ _x714 ≤ _x700 ∧ _x714 + 3 ≤ _x699 ∧ _x713 ≤ _x704 ∧ _x713 + 1 ≤ _x703 ∧ _x713 − 1 ≤ _x702 ∧ _x713 ≤ _x700 ∧ _x713 + 3 ≤ _x699 ∧ _x712 ≤ _x699 ∧ _x705 ≤ _x711 − 1 ∧ −1 ≤ _x708 − 1
  __init	29	f1_0_main_Load:		x1 = _x725 ∧ x2 = _x726 ∧ x3 = _x727 ∧ x4 = _x728 ∧ x5 = _x729 ∧ x6 = _x730 ∧ x7 = _x731 ∧ x8 = _x732 ∧ x9 = _x733 ∧ x10 = _x734 ∧ x11 = _x735 ∧ x12 = _x736 ∧ x13 = _x737 ∧ x1 = _x738 ∧ x2 = _x739 ∧ x3 = _x740 ∧ x4 = _x741 ∧ x5 = _x742 ∧ x6 = _x743 ∧ x7 = _x744 ∧ x8 = _x745 ∧ x9 = _x746 ∧ x10 = _x747 ∧ x11 = _x748 ∧ x12 = _x749 ∧ x13 = _x750 ∧ 0 ≤ 0

Proof

1 Switch to Cooperation Termination Proof

2 SCC Decomposition

We consider subproblems for each of the 4 SCC(s) of the program graph.

2.1 SCC Subproblem 1/4

Here we consider the SCC { f3849_0_createMap_LE }.

2.1.1 Transition Removal

We remove transition 4 using the following ranking functions, which are bounded by 0.

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 2/4

Here we consider the SCC { f4637_0_put_EQ, f4559_0_put_NULL }.

2.2.1 Transition Removal

We remove transitions 16, 18, 19, 20, 21, 22, 17 using the following ranking functions, which are bounded by 0.

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 3/4

Here we consider the SCC { f5083_0_transfer_GE, f5178_0_transfer_ArrayAccess }.

2.3.1 Transition Removal

We remove transition 27 using the following ranking functions, which are bounded by 0.

2.3.2 Transition Removal

We remove transition 25 using the following ranking functions, which are bounded by 0.

2.3.3 Transition Removal

We remove transitions 28, 26 using the following ranking functions, which are bounded by 0.

2.3.4 Trivial Cooperation Program

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

2.4 SCC Subproblem 4/4

Here we consider the SCC { f4401_0_get_NULL, f4483_0_get_EQ }.

2.4.1 Transition Removal

We remove transitions 7, 9, 10, 11, 12, 13, 8 using the following ranking functions, which are bounded by 0.

2.4.2 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 % (16 real / 0 unknown / 0 assumptions / 16 total proof steps)