LTS Termination Proof

Input

Integer Transition System

Initial Location: f328_0_createList_Load, f1044_0_toArray_EQ, f783_0_toArray_FieldAccess, f1_0_main_Load, f724_0_createList_Load, f340_0_createList_Return, __init, f1106_0_createList_LE

Transitions: (pre-variables and post-variables)

f328_0_createList_Load	1	f724_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 ∧ 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 ∧ _arg7 = _arg21P ∧ _arg6 = _arg18P ∧ _arg5 = _arg17P ∧ _arg4 = _arg15P ∧ _arg3 = _arg14P ∧ _arg3 = _arg13P ∧ 0 = _arg9P ∧ 0 = _arg8P ∧ 0 = _arg7P ∧ _arg4 = _arg5P ∧ 0 = _arg4P ∧ 0 = _arg3P ∧ _arg1 = _arg1P ∧ _arg7 + 3 ≤ _arg2 ∧ _arg6 + 5 ≤ _arg2 ∧ 9 ≤ _arg2P − 1 ∧ 9 ≤ _arg2 − 1
f340_0_createList_Return	2	f783_0_toArray_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 ∧ x1 = _x23 ∧ x2 = _x24 ∧ x3 = _x25 ∧ x4 = _x26 ∧ x5 = _x27 ∧ x6 = _x28 ∧ x7 = _x29 ∧ x8 = _x30 ∧ x9 = _x31 ∧ x10 = _x32 ∧ x11 = _x33 ∧ x12 = _x34 ∧ x13 = _x35 ∧ x14 = _x39 ∧ x15 = _x40 ∧ x16 = _x41 ∧ x17 = _x42 ∧ x18 = _x43 ∧ x19 = _x44 ∧ x20 = _x45 ∧ x21 = _x46 ∧ x22 = _x47 ∧ x23 = _x48 ∧ _x3 = _x29 ∧ _x6 = _x28 ∧ _x5 + 7 ≤ _x ∧ _x6 + 3 ≤ _x ∧ _x4 + 7 ≤ _x ∧ _x3 + 5 ≤ _x ∧ 0 ≤ _x24 − 1 ∧ 7 ≤ _x23 − 1 ∧ 6 ≤ _x − 1 ∧ _x24 + 6 ≤ _x ∧ _x26 ≤ _x2 − 1 ∧ −1 ≤ _x2 − 1 ∧ −1 ≤ _x1 − 1 ∧ _x25 ≤ _x1 − 1
f1_0_main_Load	3	f783_0_toArray_FieldAccess:	x1 = _x49 ∧ x2 = _x50 ∧ x3 = _x51 ∧ x4 = _x52 ∧ x5 = _x53 ∧ x6 = _x54 ∧ x7 = _x55 ∧ x8 = _x56 ∧ x9 = _x57 ∧ x10 = _x58 ∧ x11 = _x59 ∧ x12 = _x60 ∧ x13 = _x61 ∧ x14 = _x62 ∧ x15 = _x63 ∧ x16 = _x64 ∧ x17 = _x65 ∧ x18 = _x66 ∧ x19 = _x67 ∧ x20 = _x68 ∧ x21 = _x69 ∧ x22 = _x70 ∧ x23 = _x71 ∧ x1 = _x72 ∧ x2 = _x73 ∧ x3 = _x74 ∧ x4 = _x75 ∧ x5 = _x76 ∧ x6 = _x77 ∧ x7 = _x78 ∧ x8 = _x79 ∧ x9 = _x80 ∧ x10 = _x81 ∧ x11 = _x82 ∧ x12 = _x83 ∧ x13 = _x84 ∧ x14 = _x85 ∧ x15 = _x86 ∧ x16 = _x87 ∧ x17 = _x88 ∧ x18 = _x89 ∧ x19 = _x90 ∧ x20 = _x91 ∧ x21 = _x92 ∧ x22 = _x93 ∧ x23 = _x94 ∧ −1 ≤ _x95 − 1 ∧ 0 ≤ _x50 − 1 ∧ −1 ≤ _x96 − 1 ∧ _x74 ≤ _x96 − 1 ∧ −1 ≤ _x97 − 1 ∧ _x75 ≤ _x97 − 1 ∧ _x73 ≤ _x49 ∧ 0 ≤ _x49 − 1 ∧ 7 ≤ _x72 − 1 ∧ 0 ≤ _x73 − 1
f783_0_toArray_FieldAccess	4	f1044_0_toArray_EQ:	x1 = _x98 ∧ x2 = _x99 ∧ x3 = _x100 ∧ x4 = _x101 ∧ x5 = _x102 ∧ x6 = _x103 ∧ x7 = _x104 ∧ x8 = _x105 ∧ x9 = _x106 ∧ x10 = _x107 ∧ x11 = _x108 ∧ x12 = _x109 ∧ x13 = _x110 ∧ x14 = _x111 ∧ x15 = _x112 ∧ x16 = _x113 ∧ x17 = _x114 ∧ x18 = _x115 ∧ x19 = _x116 ∧ x20 = _x117 ∧ x21 = _x118 ∧ x22 = _x120 ∧ x23 = _x121 ∧ x1 = _x122 ∧ x2 = _x123 ∧ x3 = _x124 ∧ x4 = _x125 ∧ x5 = _x126 ∧ x6 = _x127 ∧ x7 = _x128 ∧ x8 = _x129 ∧ x9 = _x130 ∧ x10 = _x131 ∧ x11 = _x132 ∧ x12 = _x133 ∧ x13 = _x134 ∧ x14 = _x135 ∧ x15 = _x136 ∧ x16 = _x137 ∧ x17 = _x138 ∧ x18 = _x139 ∧ x19 = _x140 ∧ x20 = _x141 ∧ x21 = _x142 ∧ x22 = _x143 ∧ x23 = _x144 ∧ _x104 = _x131 ∧ _x103 = _x130 ∧ 0 = _x129 ∧ 0 = _x128 ∧ _x100 = _x127 ∧ 0 = _x126 ∧ _x100 = _x125 ∧ 0 = _x124 ∧ _x103 + 3 ≤ _x98 ∧ _x102 + 8 ≤ _x98 ∧ _x104 + 5 ≤ _x98 ∧ 0 ≤ _x123 − 1 ∧ 7 ≤ _x122 − 1 ∧ 0 ≤ _x99 − 1 ∧ 7 ≤ _x98 − 1 ∧ _x123 ≤ _x99 ∧ _x123 + 7 ≤ _x98 ∧ 0 ≤ _x100 − 1 ∧ _x122 ≤ _x98
f783_0_toArray_FieldAccess	5	f1044_0_toArray_EQ:	x1 = _x145 ∧ x2 = _x146 ∧ x3 = _x147 ∧ x4 = _x148 ∧ x5 = _x149 ∧ x6 = _x150 ∧ x7 = _x151 ∧ x8 = _x152 ∧ x9 = _x153 ∧ x10 = _x154 ∧ x11 = _x155 ∧ x12 = _x156 ∧ x13 = _x157 ∧ x14 = _x158 ∧ x15 = _x159 ∧ x16 = _x161 ∧ x17 = _x162 ∧ x18 = _x163 ∧ x19 = _x164 ∧ x20 = _x165 ∧ x21 = _x166 ∧ x22 = _x167 ∧ x23 = _x168 ∧ x1 = _x169 ∧ x2 = _x170 ∧ x3 = _x171 ∧ x4 = _x172 ∧ x5 = _x173 ∧ x6 = _x174 ∧ x7 = _x175 ∧ x8 = _x176 ∧ x9 = _x177 ∧ x10 = _x178 ∧ x11 = _x179 ∧ x12 = _x180 ∧ x13 = _x181 ∧ x14 = _x182 ∧ x15 = _x183 ∧ x16 = _x184 ∧ x17 = _x185 ∧ x18 = _x186 ∧ x19 = _x187 ∧ x20 = _x188 ∧ x21 = _x189 ∧ x22 = _x190 ∧ x23 = _x191 ∧ _x151 = _x178 ∧ _x150 = _x177 ∧ 0 = _x176 ∧ 0 = _x175 ∧ _x147 = _x174 ∧ 0 = _x173 ∧ _x147 = _x172 ∧ 0 = _x171 ∧ _x150 + 3 ≤ _x145 ∧ _x149 + 8 ≤ _x145 ∧ _x151 + 5 ≤ _x145 ∧ 0 ≤ _x170 − 1 ∧ 7 ≤ _x169 − 1 ∧ 0 ≤ _x146 − 1 ∧ 7 ≤ _x145 − 1 ∧ _x170 ≤ _x146 ∧ _x170 + 7 ≤ _x145 ∧ _x169 ≤ _x145 ∧ 0 ≤ _x147 − 1 ∧ 0 ≤ _x148 − 1
f1044_0_toArray_EQ	6	f1044_0_toArray_EQ:	x1 = _x192 ∧ x2 = _x193 ∧ x3 = _x194 ∧ x4 = _x195 ∧ x5 = _x196 ∧ x6 = _x197 ∧ x7 = _x198 ∧ x8 = _x199 ∧ x9 = _x200 ∧ x10 = _x201 ∧ x11 = _x202 ∧ x12 = _x203 ∧ x13 = _x204 ∧ x14 = _x205 ∧ x15 = _x206 ∧ x16 = _x207 ∧ x17 = _x208 ∧ x18 = _x209 ∧ x19 = _x210 ∧ x20 = _x211 ∧ x21 = _x212 ∧ x22 = _x213 ∧ x23 = _x214 ∧ x1 = _x215 ∧ x2 = _x216 ∧ x3 = _x217 ∧ x4 = _x218 ∧ x5 = _x219 ∧ x6 = _x220 ∧ x7 = _x221 ∧ x8 = _x222 ∧ x9 = _x223 ∧ x10 = _x224 ∧ x11 = _x225 ∧ x12 = _x226 ∧ x13 = _x227 ∧ x14 = _x228 ∧ x15 = _x229 ∧ x16 = _x230 ∧ x17 = _x231 ∧ x18 = _x232 ∧ x19 = _x233 ∧ x20 = _x234 ∧ x21 = _x235 ∧ x22 = _x236 ∧ x23 = _x237 ∧ _x201 = _x224 ∧ _x200 = _x223 ∧ _x196 = _x219 ∧ _x195 = _x218 ∧ _x194 + 1 = _x217 ∧ _x200 + 3 ≤ _x192 ∧ _x201 + 5 ≤ _x192 ∧ 0 ≤ _x216 − 1 ∧ 7 ≤ _x215 − 1 ∧ 0 ≤ _x193 − 1 ∧ 7 ≤ _x192 − 1 ∧ _x216 ≤ _x193 ∧ _x216 + 7 ≤ _x192 ∧ _x199 ≤ _x196 − 1 ∧ _x194 ≤ _x201 − 1 ∧ _x221 ≤ _x198 − 1 ∧ _x199 ≤ _x195 − 1 ∧ 0 ≤ _x196 − 1 ∧ _x220 ≤ _x197 − 1 ∧ _x199 ≤ _x222 − 1 ∧ 0 ≤ _x197 − 1 ∧ 0 ≤ _x198 − 1 ∧ 0 ≤ _x199 − 1
f1044_0_toArray_EQ	7	f1044_0_toArray_EQ:	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 ∧ x14 = _x251 ∧ x15 = _x252 ∧ x16 = _x253 ∧ x17 = _x254 ∧ x18 = _x255 ∧ x19 = _x256 ∧ x20 = _x257 ∧ x21 = _x258 ∧ x22 = _x259 ∧ x23 = _x260 ∧ x1 = _x261 ∧ x2 = _x262 ∧ x3 = _x263 ∧ x4 = _x264 ∧ x5 = _x265 ∧ x6 = _x266 ∧ x7 = _x267 ∧ x8 = _x268 ∧ x9 = _x269 ∧ x10 = _x270 ∧ x11 = _x271 ∧ x12 = _x272 ∧ x13 = _x273 ∧ x14 = _x274 ∧ x15 = _x275 ∧ x16 = _x276 ∧ x17 = _x277 ∧ x18 = _x278 ∧ x19 = _x279 ∧ x20 = _x280 ∧ x21 = _x281 ∧ x22 = _x282 ∧ x23 = _x283 ∧ _x247 = _x270 ∧ _x246 = _x269 ∧ 1 = _x268 ∧ 0 = _x265 ∧ _x240 + 1 = _x263 ∧ _x241 = _x243 ∧ _x246 + 3 ≤ _x238 ∧ _x247 + 5 ≤ _x238 ∧ 0 ≤ _x262 − 1 ∧ 9 ≤ _x261 − 1 ∧ 0 ≤ _x239 − 1 ∧ 9 ≤ _x238 − 1 ∧ _x262 ≤ _x239 ∧ _x262 + 9 ≤ _x238 ∧ −1 ≤ _x242 − 1 ∧ _x240 ≤ _x247 − 1 ∧ _x267 ≤ _x242 − 1 ∧ 0 ≤ _x241 − 1 ∧ _x266 ≤ _x241 − 1
f1_0_main_Load	8	f328_0_createList_Load:	x1 = _x284 ∧ x2 = _x285 ∧ x3 = _x286 ∧ x4 = _x287 ∧ x5 = _x288 ∧ x6 = _x289 ∧ x7 = _x290 ∧ x8 = _x291 ∧ x9 = _x292 ∧ x10 = _x293 ∧ x11 = _x294 ∧ x12 = _x295 ∧ x13 = _x296 ∧ x14 = _x297 ∧ x15 = _x298 ∧ x16 = _x299 ∧ x17 = _x300 ∧ x18 = _x301 ∧ x19 = _x302 ∧ x20 = _x303 ∧ x21 = _x304 ∧ x22 = _x305 ∧ x23 = _x306 ∧ x1 = _x307 ∧ x2 = _x308 ∧ x3 = _x309 ∧ x4 = _x310 ∧ x5 = _x311 ∧ x6 = _x312 ∧ x7 = _x313 ∧ x8 = _x314 ∧ x9 = _x315 ∧ x10 = _x316 ∧ x11 = _x317 ∧ x12 = _x318 ∧ x13 = _x319 ∧ x14 = _x320 ∧ x15 = _x321 ∧ x16 = _x322 ∧ x17 = _x323 ∧ x18 = _x324 ∧ x19 = _x325 ∧ x20 = _x326 ∧ x21 = _x327 ∧ x22 = _x328 ∧ x23 = _x329 ∧ 0 = _x313 ∧ 0 = _x312 ∧ 1 = _x311 ∧ 7 ≤ _x308 − 1 ∧ 0 ≤ _x284 − 1 ∧ _x308 − 7 ≤ _x284 ∧ 0 ≤ _x285 − 1 ∧ −1 ≤ _x307 − 1
f724_0_createList_Load	9	f1106_0_createList_LE:	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 ∧ x16 = _x345 ∧ x17 = _x346 ∧ x18 = _x347 ∧ x19 = _x348 ∧ x20 = _x349 ∧ x21 = _x350 ∧ x22 = _x351 ∧ x23 = _x352 ∧ x1 = _x353 ∧ x2 = _x354 ∧ x3 = _x355 ∧ x4 = _x356 ∧ x5 = _x357 ∧ x6 = _x358 ∧ x7 = _x359 ∧ x8 = _x360 ∧ x9 = _x361 ∧ x10 = _x362 ∧ x11 = _x363 ∧ x12 = _x364 ∧ x13 = _x365 ∧ x14 = _x366 ∧ x15 = _x367 ∧ x16 = _x368 ∧ x17 = _x369 ∧ x18 = _x370 ∧ x19 = _x371 ∧ x20 = _x372 ∧ x21 = _x373 ∧ x22 = _x374 ∧ x23 = _x375 ∧ _x350 = _x375 ∧ _x347 = _x369 ∧ _x346 = _x368 ∧ _x344 = _x367 ∧ _x343 = _x366 ∧ _x342 = _x365 ∧ _x341 = _x364 ∧ _x338 = _x363 ∧ _x337 = _x362 ∧ _x336 = _x361 ∧ _x335 = _x360 ∧ _x332 = _x359 ∧ _x339 = _x358 ∧ _x340 = _x357 ∧ _x334 = _x356 ∧ _x333 = _x355 ∧ _x330 = _x354 ∧ _x349 + 9 ≤ _x331 ∧ _x350 + 3 ≤ _x331 ∧ _x348 + 9 ≤ _x331 ∧ _x347 + 5 ≤ _x331 ∧ 11 ≤ _x353 − 1 ∧ 11 ≤ _x331 − 1
f1106_0_createList_LE	10	f1106_0_createList_LE:	x1 = _x376 ∧ x2 = _x377 ∧ x3 = _x378 ∧ x4 = _x379 ∧ x5 = _x380 ∧ x6 = _x381 ∧ x7 = _x382 ∧ x8 = _x383 ∧ x9 = _x384 ∧ x10 = _x385 ∧ x11 = _x386 ∧ x12 = _x387 ∧ x13 = _x388 ∧ x14 = _x389 ∧ x15 = _x390 ∧ x16 = _x391 ∧ x17 = _x392 ∧ x18 = _x393 ∧ x19 = _x394 ∧ x20 = _x395 ∧ x21 = _x396 ∧ x22 = _x397 ∧ x23 = _x398 ∧ x1 = _x399 ∧ x2 = _x400 ∧ x3 = _x401 ∧ x4 = _x402 ∧ x5 = _x403 ∧ x6 = _x404 ∧ x7 = _x405 ∧ x8 = _x406 ∧ x9 = _x407 ∧ x10 = _x408 ∧ x11 = _x409 ∧ x12 = _x410 ∧ x13 = _x411 ∧ x14 = _x412 ∧ x15 = _x413 ∧ x16 = _x414 ∧ x17 = _x415 ∧ x18 = _x416 ∧ x19 = _x417 ∧ x20 = _x418 ∧ x21 = _x419 ∧ x22 = _x420 ∧ x23 = _x421 ∧ 0 ≤ _x377 − 1 ∧ −1 ≤ _x422 − 1 ∧ 0 ≤ _x391 − 1 ∧ _x391 ≤ _x422 − 1 ∧ 0 ≤ _x379 − 1 ∧ 0 ≤ _x378 − 1 ∧ 0 ≤ _x382 − 1 ∧ 0 ≤ _x381 − 1 ∧ 0 ≤ _x380 − 1 ∧ 0 ≤ _x389 − 1 ∧ −1 ≤ _x423 − 1 ∧ 0 ≤ _x384 − 1 ∧ 0 ≤ _x387 − 1 ∧ 0 ≤ _x385 − 1 ∧ 0 ≤ _x390 − 1 ∧ 0 ≤ _x388 − 1 ∧ 0 ≤ _x386 − 1 ∧ 0 ≤ _x383 − 1 ∧ −1 ≤ _x398 − 1 ∧ −1 ≤ _x392 − 1 ∧ 11 ≤ _x376 − 1 ∧ 11 ≤ _x399 − 1 ∧ _x392 + 5 ≤ _x376 ∧ _x393 + 11 ≤ _x376 ∧ _x394 + 11 ≤ _x376 ∧ _x395 + 9 ≤ _x376 ∧ _x396 + 9 ≤ _x376 ∧ _x398 + 3 ≤ _x376 ∧ _x397 + 9 ≤ _x376 ∧ _x377 − 1 = _x400 ∧ _x378 = _x401 ∧ _x379 = _x402 ∧ _x391 + 1 = _x414 ∧ _x392 + 1 = _x415 ∧ _x398 + 1 = _x421
__init	11	f1_0_main_Load:	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 ∧ x14 = _x437 ∧ x15 = _x438 ∧ x16 = _x439 ∧ x17 = _x440 ∧ x18 = _x441 ∧ x19 = _x442 ∧ x20 = _x443 ∧ x21 = _x444 ∧ x22 = _x445 ∧ x23 = _x446 ∧ x1 = _x447 ∧ x2 = _x448 ∧ x3 = _x449 ∧ x4 = _x450 ∧ x5 = _x451 ∧ x6 = _x452 ∧ x7 = _x453 ∧ x8 = _x454 ∧ x9 = _x455 ∧ x10 = _x456 ∧ x11 = _x457 ∧ x12 = _x458 ∧ x13 = _x459 ∧ x14 = _x460 ∧ x15 = _x461 ∧ x16 = _x462 ∧ x17 = _x463 ∧ x18 = _x464 ∧ x19 = _x465 ∧ x20 = _x466 ∧ x21 = _x467 ∧ x22 = _x468 ∧ x23 = _x469 ∧ 0 ≤ 0

Proof

1 Switch to Cooperation Termination Proof

We consider the following cutpoint-transitions:

f328_0_createList_Load	f328_0_createList_Load	f328_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
f1044_0_toArray_EQ	f1044_0_toArray_EQ	f1044_0_toArray_EQ:	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
f783_0_toArray_FieldAccess	f783_0_toArray_FieldAccess	f783_0_toArray_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
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
f724_0_createList_Load	f724_0_createList_Load	f724_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
f340_0_createList_Return	f340_0_createList_Return	f340_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
__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
f1106_0_createList_LE	f1106_0_createList_LE	f1106_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

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

2 SCC Decomposition

We consider subproblems for each of the 2 SCC(s) of the program graph.

2.1 SCC Subproblem 1/2

Here we consider the SCC { f1044_0_toArray_EQ }.

2.1.1 Transition Removal

We remove transitions 6, 7 using the following ranking functions, which are bounded by 0.

f1044_0_toArray_EQ:

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 2/2

Here we consider the SCC { f1106_0_createList_LE }.

2.2.1 Transition Removal

We remove transition 10 using the following ranking functions, which are bounded by 0.

f1106_0_createList_LE:

2.2.2 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 % (7 real / 0 unknown / 0 assumptions / 7 total proof steps)