LTS Termination Proof

by AProVE

Input

• Initial Location: l5, l7, l11, l13, l3, l2, l9, l14, l4, l6, l10, l8, l15, l0, l12
• Transitions: (pre-variables and post-variables)

  l0	1	l1:		x1 = _oldX0HAT0 ∧ x2 = _oldX1HAT0 ∧ x3 = _oldX2HAT0 ∧ x4 = _oldX3HAT0 ∧ x5 = _oldX4HAT0 ∧ x6 = _oldX5HAT0 ∧ x7 = _oldX6HAT0 ∧ x8 = _x0HAT0 ∧ x9 = _x1HAT0 ∧ x10 = _x2HAT0 ∧ x1 = _oldX0HATpost ∧ x2 = _oldX1HATpost ∧ x3 = _oldX2HATpost ∧ x4 = _oldX3HATpost ∧ x5 = _oldX4HATpost ∧ x6 = _oldX5HATpost ∧ x7 = _oldX6HATpost ∧ x8 = _x0HATpost ∧ x9 = _x1HATpost ∧ x10 = _x2HATpost ∧ _oldX6HAT0 = _oldX6HATpost ∧ _x2HATpost = _oldX5HATpost ∧ _x1HATpost = _oldX4HATpost ∧ _x0HATpost = _oldX3HATpost ∧ _oldX5HATpost = _oldX5HATpost ∧ _oldX4HATpost = _oldX4HATpost ∧ _oldX3HATpost = _oldX3HATpost ∧ _oldX2HATpost = _x2HAT0 ∧ _oldX1HATpost = _x1HAT0 ∧ _oldX0HATpost = _x0HAT0
  l2	2	l3:		x1 = _x ∧ x2 = _x1 ∧ x3 = _x2 ∧ x4 = _x3 ∧ x5 = _x4 ∧ x6 = _x5 ∧ x7 = _x6 ∧ x8 = _x7 ∧ x9 = _x8 ∧ x10 = _x9 ∧ x1 = _x10 ∧ x2 = _x11 ∧ x3 = _x12 ∧ x4 = _x13 ∧ x5 = _x14 ∧ x6 = _x15 ∧ x7 = _x16 ∧ x8 = _x17 ∧ x9 = _x18 ∧ x10 = _x19 ∧ _x6 = _x16 ∧ _x5 = _x15 ∧ _x4 = _x14 ∧ _x19 = _x13 ∧ _x18 = _x11 ∧ _x17 = _x10 ∧ _x13 = _x13 ∧ _x12 = _x9 ∧ _x11 = _x8 ∧ _x10 = _x7
  l4	3	l1:		x1 = _x20 ∧ x2 = _x21 ∧ x3 = _x22 ∧ x4 = _x23 ∧ x5 = _x24 ∧ x6 = _x25 ∧ x7 = _x26 ∧ x8 = _x27 ∧ x9 = _x28 ∧ x10 = _x29 ∧ x1 = _x30 ∧ x2 = _x31 ∧ x3 = _x32 ∧ x4 = _x33 ∧ x5 = _x34 ∧ x6 = _x35 ∧ x7 = _x36 ∧ x8 = _x37 ∧ x9 = _x38 ∧ x10 = _x39 ∧ _x26 = _x36 ∧ _x39 = _x35 ∧ _x38 = _x34 ∧ _x37 = _x33 ∧ _x35 = _x35 ∧ _x34 = _x34 ∧ _x33 = _x33 ∧ _x32 = _x29 ∧ _x31 = _x28 ∧ _x30 = _x27
  l5	4	l2:		x1 = _x40 ∧ x2 = _x41 ∧ x3 = _x42 ∧ x4 = _x43 ∧ x5 = _x44 ∧ x6 = _x45 ∧ x7 = _x46 ∧ x8 = _x47 ∧ x9 = _x48 ∧ x10 = _x49 ∧ x1 = _x50 ∧ x2 = _x51 ∧ x3 = _x52 ∧ x4 = _x53 ∧ x5 = _x54 ∧ x6 = _x55 ∧ x7 = _x56 ∧ x8 = _x57 ∧ x9 = _x58 ∧ x10 = _x59 ∧ _x46 = _x56 ∧ _x45 = _x55 ∧ _x44 = _x54 ∧ _x59 = _x53 ∧ _x58 = _x51 ∧ _x57 = _x50 ∧ 2 ≤ _x51 ∧ _x53 = _x53 ∧ _x52 = _x49 ∧ _x51 = _x48 ∧ _x50 = _x47
  l5	5	l2:		x1 = _x60 ∧ x2 = _x61 ∧ x3 = _x62 ∧ x4 = _x63 ∧ x5 = _x64 ∧ x6 = _x65 ∧ x7 = _x66 ∧ x8 = _x67 ∧ x9 = _x68 ∧ x10 = _x69 ∧ x1 = _x70 ∧ x2 = _x71 ∧ x3 = _x72 ∧ x4 = _x73 ∧ x5 = _x74 ∧ x6 = _x75 ∧ x7 = _x76 ∧ x8 = _x77 ∧ x9 = _x78 ∧ x10 = _x79 ∧ _x66 = _x76 ∧ _x65 = _x75 ∧ _x64 = _x74 ∧ _x79 = _x73 ∧ _x78 = _x71 ∧ _x77 = _x70 ∧ 1 + _x71 ≤ 1 ∧ _x73 = _x73 ∧ _x72 = _x69 ∧ _x71 = _x68 ∧ _x70 = _x67
  l5	6	l0:		x1 = _x80 ∧ x2 = _x81 ∧ x3 = _x82 ∧ x4 = _x83 ∧ x5 = _x84 ∧ x6 = _x85 ∧ x7 = _x86 ∧ x8 = _x87 ∧ x9 = _x88 ∧ x10 = _x89 ∧ x1 = _x90 ∧ x2 = _x91 ∧ x3 = _x92 ∧ x4 = _x93 ∧ x5 = _x94 ∧ x6 = _x95 ∧ x7 = _x96 ∧ x8 = _x97 ∧ x9 = _x98 ∧ x10 = _x99 ∧ _x86 = _x96 ∧ _x85 = _x95 ∧ _x84 = _x94 ∧ _x99 = _x93 ∧ _x98 = _x91 ∧ _x97 = _x90 ∧ 1 ≤ _x91 ∧ _x91 ≤ 1 ∧ _x93 = _x93 ∧ _x92 = _x89 ∧ _x91 = _x88 ∧ _x90 = _x87
  l6	7	l2:		x1 = _x100 ∧ x2 = _x101 ∧ x3 = _x102 ∧ x4 = _x103 ∧ x5 = _x104 ∧ x6 = _x105 ∧ x7 = _x106 ∧ x8 = _x107 ∧ x9 = _x108 ∧ x10 = _x109 ∧ x1 = _x110 ∧ x2 = _x111 ∧ x3 = _x112 ∧ x4 = _x113 ∧ x5 = _x114 ∧ x6 = _x115 ∧ x7 = _x116 ∧ x8 = _x117 ∧ x9 = _x118 ∧ x10 = _x119 ∧ _x106 = _x116 ∧ _x105 = _x115 ∧ _x104 = _x114 ∧ _x119 = _x113 ∧ _x118 = _x111 ∧ _x117 = _x110 ∧ 1 ≤ _x111 ∧ _x113 = _x113 ∧ _x112 = _x109 ∧ _x111 = _x108 ∧ _x110 = _x107
  l6	8	l2:		x1 = _x120 ∧ x2 = _x121 ∧ x3 = _x122 ∧ x4 = _x123 ∧ x5 = _x124 ∧ x6 = _x125 ∧ x7 = _x126 ∧ x8 = _x127 ∧ x9 = _x128 ∧ x10 = _x129 ∧ x1 = _x130 ∧ x2 = _x131 ∧ x3 = _x132 ∧ x4 = _x133 ∧ x5 = _x134 ∧ x6 = _x135 ∧ x7 = _x136 ∧ x8 = _x137 ∧ x9 = _x138 ∧ x10 = _x139 ∧ _x126 = _x136 ∧ _x125 = _x135 ∧ _x124 = _x134 ∧ _x139 = _x133 ∧ _x138 = _x131 ∧ _x137 = _x130 ∧ 1 + _x131 ≤ 0 ∧ _x133 = _x133 ∧ _x132 = _x129 ∧ _x131 = _x128 ∧ _x130 = _x127
  l6	9	l4:		x1 = _x140 ∧ x2 = _x141 ∧ x3 = _x142 ∧ x4 = _x143 ∧ x5 = _x144 ∧ x6 = _x145 ∧ x7 = _x146 ∧ x8 = _x147 ∧ x9 = _x148 ∧ x10 = _x149 ∧ x1 = _x150 ∧ x2 = _x151 ∧ x3 = _x152 ∧ x4 = _x153 ∧ x5 = _x154 ∧ x6 = _x155 ∧ x7 = _x156 ∧ x8 = _x157 ∧ x9 = _x158 ∧ x10 = _x159 ∧ _x146 = _x156 ∧ _x145 = _x155 ∧ _x144 = _x154 ∧ _x159 = _x153 ∧ _x158 = _x151 ∧ _x157 = _x150 ∧ 0 ≤ _x151 ∧ _x151 ≤ 0 ∧ _x153 = _x153 ∧ _x152 = _x149 ∧ _x151 = _x148 ∧ _x150 = _x147
  l7	10	l5:		x1 = _x160 ∧ x2 = _x161 ∧ x3 = _x162 ∧ x4 = _x163 ∧ x5 = _x164 ∧ x6 = _x165 ∧ x7 = _x166 ∧ x8 = _x167 ∧ x9 = _x168 ∧ x10 = _x169 ∧ x1 = _x170 ∧ x2 = _x171 ∧ x3 = _x172 ∧ x4 = _x173 ∧ x5 = _x174 ∧ x6 = _x175 ∧ x7 = _x176 ∧ x8 = _x177 ∧ x9 = _x178 ∧ x10 = _x179 ∧ _x166 = _x176 ∧ _x165 = _x175 ∧ _x164 = _x174 ∧ _x179 = _x173 ∧ _x178 = _x171 ∧ _x177 = _x170 ∧ 1 ≤ _x171 ∧ _x173 = _x173 ∧ _x172 = _x169 ∧ _x171 = _x168 ∧ _x170 = _x167
  l7	11	l6:		x1 = _x180 ∧ x2 = _x181 ∧ x3 = _x182 ∧ x4 = _x183 ∧ x5 = _x184 ∧ x6 = _x185 ∧ x7 = _x186 ∧ x8 = _x187 ∧ x9 = _x188 ∧ x10 = _x189 ∧ x1 = _x190 ∧ x2 = _x191 ∧ x3 = _x192 ∧ x4 = _x193 ∧ x5 = _x194 ∧ x6 = _x195 ∧ x7 = _x196 ∧ x8 = _x197 ∧ x9 = _x198 ∧ x10 = _x199 ∧ _x186 = _x196 ∧ _x185 = _x195 ∧ _x184 = _x194 ∧ _x199 = _x193 ∧ _x198 = _x191 ∧ _x197 = _x190 ∧ 1 + _x191 ≤ 1 ∧ _x193 = _x193 ∧ _x192 = _x189 ∧ _x191 = _x188 ∧ _x190 = _x187
  l8	12	l7:		x1 = _x200 ∧ x2 = _x201 ∧ x3 = _x202 ∧ x4 = _x203 ∧ x5 = _x204 ∧ x6 = _x205 ∧ x7 = _x206 ∧ x8 = _x207 ∧ x9 = _x208 ∧ x10 = _x209 ∧ x1 = _x210 ∧ x2 = _x211 ∧ x3 = _x212 ∧ x4 = _x213 ∧ x5 = _x214 ∧ x6 = _x215 ∧ x7 = _x216 ∧ x8 = _x217 ∧ x9 = _x218 ∧ x10 = _x219 ∧ _x206 = _x216 ∧ _x205 = _x215 ∧ _x204 = _x214 ∧ _x219 = _x213 ∧ _x218 = _x211 ∧ _x217 = _x210 ∧ _x213 = _x213 ∧ _x212 = _x209 ∧ _x211 = _x208 ∧ _x210 = _x207
  l9	13	l1:		x1 = _x220 ∧ x2 = _x221 ∧ x3 = _x222 ∧ x4 = _x223 ∧ x5 = _x224 ∧ x6 = _x225 ∧ x7 = _x226 ∧ x8 = _x227 ∧ x9 = _x228 ∧ x10 = _x229 ∧ x1 = _x230 ∧ x2 = _x231 ∧ x3 = _x232 ∧ x4 = _x233 ∧ x5 = _x234 ∧ x6 = _x235 ∧ x7 = _x236 ∧ x8 = _x237 ∧ x9 = _x238 ∧ x10 = _x239 ∧ _x239 = _x235 ∧ _x238 = _x234 ∧ _x237 = _x233 ∧ 2 ≤ _x232 − 2⋅_x236 ∧ _x236 = _x236 ∧ _x235 = _x235 ∧ _x234 = _x234 ∧ _x233 = _x233 ∧ _x232 = _x229 ∧ _x231 = _x228 ∧ _x230 = _x227
  l9	14	l1:		x1 = _x240 ∧ x2 = _x241 ∧ x3 = _x242 ∧ x4 = _x243 ∧ x5 = _x244 ∧ x6 = _x245 ∧ x7 = _x246 ∧ x8 = _x247 ∧ x9 = _x248 ∧ x10 = _x249 ∧ x1 = _x250 ∧ x2 = _x251 ∧ x3 = _x252 ∧ x4 = _x253 ∧ x5 = _x254 ∧ x6 = _x255 ∧ x7 = _x256 ∧ x8 = _x257 ∧ x9 = _x258 ∧ x10 = _x259 ∧ _x259 = _x255 ∧ _x258 = _x254 ∧ _x257 = _x253 ∧ 1 + _x252 − 2⋅_x256 ≤ 0 ∧ _x256 = _x256 ∧ _x255 = _x255 ∧ _x254 = _x254 ∧ _x253 = _x253 ∧ _x252 = _x249 ∧ _x251 = _x248 ∧ _x250 = _x247
  l9	15	l10:		x1 = _x260 ∧ x2 = _x261 ∧ x3 = _x262 ∧ x4 = _x263 ∧ x5 = _x264 ∧ x6 = _x265 ∧ x7 = _x266 ∧ x8 = _x267 ∧ x9 = _x268 ∧ x10 = _x269 ∧ x1 = _x270 ∧ x2 = _x271 ∧ x3 = _x272 ∧ x4 = _x273 ∧ x5 = _x274 ∧ x6 = _x275 ∧ x7 = _x276 ∧ x8 = _x277 ∧ x9 = _x278 ∧ x10 = _x279 ∧ _x266 = _x276 ∧ _x265 = _x275 ∧ _x264 = _x274 ∧ _x279 = _x273 ∧ _x278 = _x271 ∧ _x277 = _x270 ∧ 1 + _x272 − 2⋅_x273 ≤ 2 ∧ 0 ≤ _x272 − 2⋅_x273 ∧ _x273 = _x273 ∧ _x272 = _x269 ∧ _x271 = _x268 ∧ _x270 = _x267
  l11	16	l9:		x1 = _x280 ∧ x2 = _x281 ∧ x3 = _x282 ∧ x4 = _x283 ∧ x5 = _x284 ∧ x6 = _x285 ∧ x7 = _x286 ∧ x8 = _x287 ∧ x9 = _x288 ∧ x10 = _x289 ∧ x1 = _x290 ∧ x2 = _x291 ∧ x3 = _x292 ∧ x4 = _x293 ∧ x5 = _x294 ∧ x6 = _x295 ∧ x7 = _x296 ∧ x8 = _x297 ∧ x9 = _x298 ∧ x10 = _x299 ∧ _x286 = _x296 ∧ _x285 = _x295 ∧ _x284 = _x294 ∧ _x283 = _x293 ∧ _x299 = _x292 ∧ _x298 = _x291 ∧ _x297 = _x290 ∧ _x292 = _x289 ∧ _x291 = _x288 ∧ _x290 = _x287
  l12	17	l9:		x1 = _x300 ∧ x2 = _x301 ∧ x3 = _x302 ∧ x4 = _x303 ∧ x5 = _x304 ∧ x6 = _x305 ∧ x7 = _x306 ∧ x8 = _x307 ∧ x9 = _x308 ∧ x10 = _x309 ∧ x1 = _x310 ∧ x2 = _x311 ∧ x3 = _x312 ∧ x4 = _x313 ∧ x5 = _x314 ∧ x6 = _x315 ∧ x7 = _x316 ∧ x8 = _x317 ∧ x9 = _x318 ∧ x10 = _x319 ∧ _x306 = _x316 ∧ _x305 = _x315 ∧ _x304 = _x314 ∧ _x319 = _x312 ∧ _x318 = _x311 ∧ _x317 = _x310 ∧ 2 ≤ _x313 ∧ _x313 = _x313 ∧ _x312 = _x309 ∧ _x311 = _x308 ∧ _x310 = _x307
  l12	18	l9:		x1 = _x320 ∧ x2 = _x321 ∧ x3 = _x322 ∧ x4 = _x323 ∧ x5 = _x324 ∧ x6 = _x325 ∧ x7 = _x326 ∧ x8 = _x327 ∧ x9 = _x328 ∧ x10 = _x329 ∧ x1 = _x330 ∧ x2 = _x331 ∧ x3 = _x332 ∧ x4 = _x333 ∧ x5 = _x334 ∧ x6 = _x335 ∧ x7 = _x336 ∧ x8 = _x337 ∧ x9 = _x338 ∧ x10 = _x339 ∧ _x326 = _x336 ∧ _x325 = _x335 ∧ _x324 = _x334 ∧ _x339 = _x332 ∧ _x338 = _x331 ∧ _x337 = _x330 ∧ 1 + _x333 ≤ 1 ∧ _x333 = _x333 ∧ _x332 = _x329 ∧ _x331 = _x328 ∧ _x330 = _x327
  l12	19	l11:		x1 = _x340 ∧ x2 = _x341 ∧ x3 = _x342 ∧ x4 = _x343 ∧ x5 = _x344 ∧ x6 = _x345 ∧ x7 = _x346 ∧ x8 = _x347 ∧ x9 = _x348 ∧ x10 = _x349 ∧ x1 = _x350 ∧ x2 = _x351 ∧ x3 = _x352 ∧ x4 = _x353 ∧ x5 = _x354 ∧ x6 = _x355 ∧ x7 = _x356 ∧ x8 = _x357 ∧ x9 = _x358 ∧ x10 = _x359 ∧ _x346 = _x356 ∧ _x345 = _x355 ∧ _x344 = _x354 ∧ _x359 = _x352 ∧ _x358 = _x351 ∧ _x357 = _x350 ∧ 1 ≤ _x353 ∧ _x353 ≤ 1 ∧ _x353 = _x353 ∧ _x352 = _x349 ∧ _x351 = _x348 ∧ _x350 = _x347
  l10	20	l4:		x1 = _x360 ∧ x2 = _x361 ∧ x3 = _x362 ∧ x4 = _x363 ∧ x5 = _x364 ∧ x6 = _x365 ∧ x7 = _x366 ∧ x8 = _x367 ∧ x9 = _x368 ∧ x10 = _x369 ∧ x1 = _x370 ∧ x2 = _x371 ∧ x3 = _x372 ∧ x4 = _x373 ∧ x5 = _x374 ∧ x6 = _x375 ∧ x7 = _x376 ∧ x8 = _x377 ∧ x9 = _x378 ∧ x10 = _x379 ∧ _x366 = _x376 ∧ _x365 = _x375 ∧ _x364 = _x374 ∧ _x379 = _x373 ∧ _x378 = _x371 ∧ _x377 = _x370 ∧ _x372 ≤ 0 ∧ _x373 = _x373 ∧ _x372 = _x369 ∧ _x371 = _x368 ∧ _x370 = _x367
  l10	21	l12:		x1 = _x380 ∧ x2 = _x381 ∧ x3 = _x382 ∧ x4 = _x383 ∧ x5 = _x384 ∧ x6 = _x385 ∧ x7 = _x386 ∧ x8 = _x387 ∧ x9 = _x388 ∧ x10 = _x389 ∧ x1 = _x390 ∧ x2 = _x391 ∧ x3 = _x392 ∧ x4 = _x393 ∧ x5 = _x394 ∧ x6 = _x395 ∧ x7 = _x396 ∧ x8 = _x397 ∧ x9 = _x398 ∧ x10 = _x399 ∧ _x386 = _x396 ∧ _x385 = _x395 ∧ _x384 = _x394 ∧ _x383 = _x393 ∧ _x399 = _x392 ∧ _x398 = _x391 ∧ _x397 = _x390 ∧ 1 ≤ _x392 ∧ _x392 = _x389 ∧ _x391 = _x388 ∧ _x390 = _x387
  l13	22	l1:		x1 = _x400 ∧ x2 = _x401 ∧ x3 = _x402 ∧ x4 = _x403 ∧ x5 = _x404 ∧ x6 = _x405 ∧ x7 = _x406 ∧ x8 = _x407 ∧ x9 = _x408 ∧ x10 = _x409 ∧ x1 = _x410 ∧ x2 = _x411 ∧ x3 = _x412 ∧ x4 = _x413 ∧ x5 = _x414 ∧ x6 = _x415 ∧ x7 = _x416 ∧ x8 = _x417 ∧ x9 = _x418 ∧ x10 = _x419 ∧ _x406 = _x416 ∧ _x419 = _x415 ∧ _x418 = _x414 ∧ _x417 = _x413 ∧ _x415 = _x415 ∧ _x414 = _x414 ∧ _x413 = _x413 ∧ _x412 = _x409 ∧ _x411 = _x408 ∧ _x410 = _x407
  l3	23	l10:		x1 = _x420 ∧ x2 = _x421 ∧ x3 = _x422 ∧ x4 = _x423 ∧ x5 = _x424 ∧ x6 = _x425 ∧ x7 = _x426 ∧ x8 = _x427 ∧ x9 = _x428 ∧ x10 = _x429 ∧ x1 = _x430 ∧ x2 = _x431 ∧ x3 = _x432 ∧ x4 = _x433 ∧ x5 = _x434 ∧ x6 = _x435 ∧ x7 = _x436 ∧ x8 = _x437 ∧ x9 = _x438 ∧ x10 = _x439 ∧ _x426 = _x436 ∧ _x425 = _x435 ∧ _x424 = _x434 ∧ _x423 = _x433 ∧ _x439 = _x431 ∧ _x438 = _x431 ∧ _x437 = _x430 ∧ 3 ≤ _x430 ∧ _x432 = _x429 ∧ _x431 = _x428 ∧ _x430 = _x427
  l3	24	l10:		x1 = _x440 ∧ x2 = _x441 ∧ x3 = _x442 ∧ x4 = _x443 ∧ x5 = _x444 ∧ x6 = _x445 ∧ x7 = _x446 ∧ x8 = _x447 ∧ x9 = _x448 ∧ x10 = _x449 ∧ x1 = _x450 ∧ x2 = _x451 ∧ x3 = _x452 ∧ x4 = _x453 ∧ x5 = _x454 ∧ x6 = _x455 ∧ x7 = _x456 ∧ x8 = _x457 ∧ x9 = _x458 ∧ x10 = _x459 ∧ _x446 = _x456 ∧ _x445 = _x455 ∧ _x444 = _x454 ∧ _x443 = _x453 ∧ _x459 = _x451 ∧ _x458 = _x451 ∧ _x457 = _x450 ∧ 1 + _x450 ≤ 2 ∧ _x452 = _x449 ∧ _x451 = _x448 ∧ _x450 = _x447
  l3	25	l13:		x1 = _x460 ∧ x2 = _x461 ∧ x3 = _x462 ∧ x4 = _x463 ∧ x5 = _x464 ∧ x6 = _x465 ∧ x7 = _x466 ∧ x8 = _x467 ∧ x9 = _x468 ∧ x10 = _x469 ∧ x1 = _x470 ∧ x2 = _x471 ∧ x3 = _x472 ∧ x4 = _x473 ∧ x5 = _x474 ∧ x6 = _x475 ∧ x7 = _x476 ∧ x8 = _x477 ∧ x9 = _x478 ∧ x10 = _x479 ∧ _x466 = _x476 ∧ _x465 = _x475 ∧ _x464 = _x474 ∧ _x479 = _x473 ∧ _x478 = _x471 ∧ _x477 = _x470 ∧ 2 ≤ _x470 ∧ _x470 ≤ 2 ∧ _x473 = _x473 ∧ _x472 = _x469 ∧ _x471 = _x468 ∧ _x470 = _x467
  l14	26	l8:		x1 = _x480 ∧ x2 = _x481 ∧ x3 = _x482 ∧ x4 = _x483 ∧ x5 = _x484 ∧ x6 = _x485 ∧ x7 = _x486 ∧ x8 = _x487 ∧ x9 = _x488 ∧ x10 = _x489 ∧ x1 = _x490 ∧ x2 = _x491 ∧ x3 = _x492 ∧ x4 = _x493 ∧ x5 = _x494 ∧ x6 = _x495 ∧ x7 = _x496 ∧ x8 = _x497 ∧ x9 = _x498 ∧ x10 = _x499 ∧ _x486 = _x496 ∧ _x485 = _x495 ∧ _x484 = _x494 ∧ _x499 = _x493 ∧ _x498 = _x491 ∧ _x497 = _x490 ∧ _x493 = _x493 ∧ _x492 = _x489 ∧ _x491 = _x488 ∧ _x490 = _x487
  l14	27	l1:		x1 = _x500 ∧ x2 = _x501 ∧ x3 = _x502 ∧ x4 = _x503 ∧ x5 = _x504 ∧ x6 = _x505 ∧ x7 = _x506 ∧ x8 = _x507 ∧ x9 = _x508 ∧ x10 = _x509 ∧ x1 = _x510 ∧ x2 = _x511 ∧ x3 = _x512 ∧ x4 = _x513 ∧ x5 = _x514 ∧ x6 = _x515 ∧ x7 = _x516 ∧ x8 = _x517 ∧ x9 = _x518 ∧ x10 = _x519 ∧ _x509 = _x519 ∧ _x508 = _x518 ∧ _x507 = _x517 ∧ _x506 = _x516 ∧ _x505 = _x515 ∧ _x504 = _x514 ∧ _x503 = _x513 ∧ _x502 = _x512 ∧ _x501 = _x511 ∧ _x500 = _x510
  l14	28	l0:		x1 = _x520 ∧ x2 = _x521 ∧ x3 = _x522 ∧ x4 = _x523 ∧ x5 = _x524 ∧ x6 = _x525 ∧ x7 = _x526 ∧ x8 = _x527 ∧ x9 = _x528 ∧ x10 = _x529 ∧ x1 = _x530 ∧ x2 = _x531 ∧ x3 = _x532 ∧ x4 = _x533 ∧ x5 = _x534 ∧ x6 = _x535 ∧ x7 = _x536 ∧ x8 = _x537 ∧ x9 = _x538 ∧ x10 = _x539 ∧ _x529 = _x539 ∧ _x528 = _x538 ∧ _x527 = _x537 ∧ _x526 = _x536 ∧ _x525 = _x535 ∧ _x524 = _x534 ∧ _x523 = _x533 ∧ _x522 = _x532 ∧ _x521 = _x531 ∧ _x520 = _x530
  l14	29	l2:		x1 = _x540 ∧ x2 = _x541 ∧ x3 = _x542 ∧ x4 = _x543 ∧ x5 = _x544 ∧ x6 = _x545 ∧ x7 = _x546 ∧ x8 = _x547 ∧ x9 = _x548 ∧ x10 = _x549 ∧ x1 = _x550 ∧ x2 = _x551 ∧ x3 = _x552 ∧ x4 = _x553 ∧ x5 = _x554 ∧ x6 = _x555 ∧ x7 = _x556 ∧ x8 = _x557 ∧ x9 = _x558 ∧ x10 = _x559 ∧ _x549 = _x559 ∧ _x548 = _x558 ∧ _x547 = _x557 ∧ _x546 = _x556 ∧ _x545 = _x555 ∧ _x544 = _x554 ∧ _x543 = _x553 ∧ _x542 = _x552 ∧ _x541 = _x551 ∧ _x540 = _x550
  l14	30	l4:		x1 = _x560 ∧ x2 = _x561 ∧ x3 = _x562 ∧ x4 = _x563 ∧ x5 = _x564 ∧ x6 = _x565 ∧ x7 = _x566 ∧ x8 = _x567 ∧ x9 = _x568 ∧ x10 = _x569 ∧ x1 = _x570 ∧ x2 = _x571 ∧ x3 = _x572 ∧ x4 = _x573 ∧ x5 = _x574 ∧ x6 = _x575 ∧ x7 = _x576 ∧ x8 = _x577 ∧ x9 = _x578 ∧ x10 = _x579 ∧ _x569 = _x579 ∧ _x568 = _x578 ∧ _x567 = _x577 ∧ _x566 = _x576 ∧ _x565 = _x575 ∧ _x564 = _x574 ∧ _x563 = _x573 ∧ _x562 = _x572 ∧ _x561 = _x571 ∧ _x560 = _x570
  l14	31	l5:		x1 = _x580 ∧ x2 = _x581 ∧ x3 = _x582 ∧ x4 = _x583 ∧ x5 = _x584 ∧ x6 = _x585 ∧ x7 = _x586 ∧ x8 = _x587 ∧ x9 = _x588 ∧ x10 = _x589 ∧ x1 = _x590 ∧ x2 = _x591 ∧ x3 = _x592 ∧ x4 = _x593 ∧ x5 = _x594 ∧ x6 = _x595 ∧ x7 = _x596 ∧ x8 = _x597 ∧ x9 = _x598 ∧ x10 = _x599 ∧ _x589 = _x599 ∧ _x588 = _x598 ∧ _x587 = _x597 ∧ _x586 = _x596 ∧ _x585 = _x595 ∧ _x584 = _x594 ∧ _x583 = _x593 ∧ _x582 = _x592 ∧ _x581 = _x591 ∧ _x580 = _x590
  l14	32	l6:		x1 = _x600 ∧ x2 = _x601 ∧ x3 = _x602 ∧ x4 = _x603 ∧ x5 = _x604 ∧ x6 = _x605 ∧ x7 = _x606 ∧ x8 = _x607 ∧ x9 = _x608 ∧ x10 = _x609 ∧ x1 = _x610 ∧ x2 = _x611 ∧ x3 = _x612 ∧ x4 = _x613 ∧ x5 = _x614 ∧ x6 = _x615 ∧ x7 = _x616 ∧ x8 = _x617 ∧ x9 = _x618 ∧ x10 = _x619 ∧ _x609 = _x619 ∧ _x608 = _x618 ∧ _x607 = _x617 ∧ _x606 = _x616 ∧ _x605 = _x615 ∧ _x604 = _x614 ∧ _x603 = _x613 ∧ _x602 = _x612 ∧ _x601 = _x611 ∧ _x600 = _x610
  l14	33	l7:		x1 = _x620 ∧ x2 = _x621 ∧ x3 = _x622 ∧ x4 = _x623 ∧ x5 = _x624 ∧ x6 = _x625 ∧ x7 = _x626 ∧ x8 = _x627 ∧ x9 = _x628 ∧ x10 = _x629 ∧ x1 = _x630 ∧ x2 = _x631 ∧ x3 = _x632 ∧ x4 = _x633 ∧ x5 = _x634 ∧ x6 = _x635 ∧ x7 = _x636 ∧ x8 = _x637 ∧ x9 = _x638 ∧ x10 = _x639 ∧ _x629 = _x639 ∧ _x628 = _x638 ∧ _x627 = _x637 ∧ _x626 = _x636 ∧ _x625 = _x635 ∧ _x624 = _x634 ∧ _x623 = _x633 ∧ _x622 = _x632 ∧ _x621 = _x631 ∧ _x620 = _x630
  l14	34	l8:		x1 = _x640 ∧ x2 = _x641 ∧ x3 = _x642 ∧ x4 = _x643 ∧ x5 = _x644 ∧ x6 = _x645 ∧ x7 = _x646 ∧ x8 = _x647 ∧ x9 = _x648 ∧ x10 = _x649 ∧ x1 = _x650 ∧ x2 = _x651 ∧ x3 = _x652 ∧ x4 = _x653 ∧ x5 = _x654 ∧ x6 = _x655 ∧ x7 = _x656 ∧ x8 = _x657 ∧ x9 = _x658 ∧ x10 = _x659 ∧ _x649 = _x659 ∧ _x648 = _x658 ∧ _x647 = _x657 ∧ _x646 = _x656 ∧ _x645 = _x655 ∧ _x644 = _x654 ∧ _x643 = _x653 ∧ _x642 = _x652 ∧ _x641 = _x651 ∧ _x640 = _x650
  l14	35	l9:		x1 = _x660 ∧ x2 = _x661 ∧ x3 = _x662 ∧ x4 = _x663 ∧ x5 = _x664 ∧ x6 = _x665 ∧ x7 = _x666 ∧ x8 = _x667 ∧ x9 = _x668 ∧ x10 = _x669 ∧ x1 = _x670 ∧ x2 = _x671 ∧ x3 = _x672 ∧ x4 = _x673 ∧ x5 = _x674 ∧ x6 = _x675 ∧ x7 = _x676 ∧ x8 = _x677 ∧ x9 = _x678 ∧ x10 = _x679 ∧ _x669 = _x679 ∧ _x668 = _x678 ∧ _x667 = _x677 ∧ _x666 = _x676 ∧ _x665 = _x675 ∧ _x664 = _x674 ∧ _x663 = _x673 ∧ _x662 = _x672 ∧ _x661 = _x671 ∧ _x660 = _x670
  l14	36	l11:		x1 = _x680 ∧ x2 = _x681 ∧ x3 = _x682 ∧ x4 = _x683 ∧ x5 = _x684 ∧ x6 = _x685 ∧ x7 = _x686 ∧ x8 = _x687 ∧ x9 = _x688 ∧ x10 = _x689 ∧ x1 = _x690 ∧ x2 = _x691 ∧ x3 = _x692 ∧ x4 = _x693 ∧ x5 = _x694 ∧ x6 = _x695 ∧ x7 = _x696 ∧ x8 = _x697 ∧ x9 = _x698 ∧ x10 = _x699 ∧ _x689 = _x699 ∧ _x688 = _x698 ∧ _x687 = _x697 ∧ _x686 = _x696 ∧ _x685 = _x695 ∧ _x684 = _x694 ∧ _x683 = _x693 ∧ _x682 = _x692 ∧ _x681 = _x691 ∧ _x680 = _x690
  l14	37	l12:		x1 = _x700 ∧ x2 = _x701 ∧ x3 = _x702 ∧ x4 = _x703 ∧ x5 = _x704 ∧ x6 = _x705 ∧ x7 = _x706 ∧ x8 = _x707 ∧ x9 = _x708 ∧ x10 = _x709 ∧ x1 = _x710 ∧ x2 = _x711 ∧ x3 = _x712 ∧ x4 = _x713 ∧ x5 = _x714 ∧ x6 = _x715 ∧ x7 = _x716 ∧ x8 = _x717 ∧ x9 = _x718 ∧ x10 = _x719 ∧ _x709 = _x719 ∧ _x708 = _x718 ∧ _x707 = _x717 ∧ _x706 = _x716 ∧ _x705 = _x715 ∧ _x704 = _x714 ∧ _x703 = _x713 ∧ _x702 = _x712 ∧ _x701 = _x711 ∧ _x700 = _x710
  l14	38	l10:		x1 = _x720 ∧ x2 = _x721 ∧ x3 = _x722 ∧ x4 = _x723 ∧ x5 = _x724 ∧ x6 = _x725 ∧ x7 = _x726 ∧ x8 = _x727 ∧ x9 = _x728 ∧ x10 = _x729 ∧ x1 = _x730 ∧ x2 = _x731 ∧ x3 = _x732 ∧ x4 = _x733 ∧ x5 = _x734 ∧ x6 = _x735 ∧ x7 = _x736 ∧ x8 = _x737 ∧ x9 = _x738 ∧ x10 = _x739 ∧ _x729 = _x739 ∧ _x728 = _x738 ∧ _x727 = _x737 ∧ _x726 = _x736 ∧ _x725 = _x735 ∧ _x724 = _x734 ∧ _x723 = _x733 ∧ _x722 = _x732 ∧ _x721 = _x731 ∧ _x720 = _x730
  l14	39	l13:		x1 = _x740 ∧ x2 = _x741 ∧ x3 = _x742 ∧ x4 = _x743 ∧ x5 = _x744 ∧ x6 = _x745 ∧ x7 = _x746 ∧ x8 = _x747 ∧ x9 = _x748 ∧ x10 = _x749 ∧ x1 = _x750 ∧ x2 = _x751 ∧ x3 = _x752 ∧ x4 = _x753 ∧ x5 = _x754 ∧ x6 = _x755 ∧ x7 = _x756 ∧ x8 = _x757 ∧ x9 = _x758 ∧ x10 = _x759 ∧ _x749 = _x759 ∧ _x748 = _x758 ∧ _x747 = _x757 ∧ _x746 = _x756 ∧ _x745 = _x755 ∧ _x744 = _x754 ∧ _x743 = _x753 ∧ _x742 = _x752 ∧ _x741 = _x751 ∧ _x740 = _x750
  l14	40	l3:		x1 = _x760 ∧ x2 = _x761 ∧ x3 = _x762 ∧ x4 = _x763 ∧ x5 = _x764 ∧ x6 = _x765 ∧ x7 = _x766 ∧ x8 = _x767 ∧ x9 = _x768 ∧ x10 = _x769 ∧ x1 = _x770 ∧ x2 = _x771 ∧ x3 = _x772 ∧ x4 = _x773 ∧ x5 = _x774 ∧ x6 = _x775 ∧ x7 = _x776 ∧ x8 = _x777 ∧ x9 = _x778 ∧ x10 = _x779 ∧ _x769 = _x779 ∧ _x768 = _x778 ∧ _x767 = _x777 ∧ _x766 = _x776 ∧ _x765 = _x775 ∧ _x764 = _x774 ∧ _x763 = _x773 ∧ _x762 = _x772 ∧ _x761 = _x771 ∧ _x760 = _x770
  l15	41	l14:		x1 = _x780 ∧ x2 = _x781 ∧ x3 = _x782 ∧ x4 = _x783 ∧ x5 = _x784 ∧ x6 = _x785 ∧ x7 = _x786 ∧ x8 = _x787 ∧ x9 = _x788 ∧ x10 = _x789 ∧ x1 = _x790 ∧ x2 = _x791 ∧ x3 = _x792 ∧ x4 = _x793 ∧ x5 = _x794 ∧ x6 = _x795 ∧ x7 = _x796 ∧ x8 = _x797 ∧ x9 = _x798 ∧ x10 = _x799 ∧ _x789 = _x799 ∧ _x788 = _x798 ∧ _x787 = _x797 ∧ _x786 = _x796 ∧ _x785 = _x795 ∧ _x784 = _x794 ∧ _x783 = _x793 ∧ _x782 = _x792 ∧ _x781 = _x791 ∧ _x780 = _x790

Proof

1 Switch to Cooperation Termination Proof

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 { l10, l11, l12, l9 }.

2.1.1 Transition Removal

We remove transition 21 using the following ranking functions, which are bounded by 0.

2.1.2 Transition Removal

We remove transitions 15, 18, 17, 16, 19 using the following ranking functions, which are bounded by 0.

2.1.3 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 % (6 real / 0 unknown / 0 assumptions / 6 total proof steps)