LTS Termination Proof

Input

Integer Transition System

Initial Location: l5, l6, l1, l3, l0, l2

Transitions: (pre-variables and post-variables)

l0	1	l1:	x1 = ___const_12299HAT0 ∧ x2 = ___const_15137HAT0 ∧ x3 = ___const_16069HAT0 ∧ x4 = ___const_16819HAT0 ∧ x5 = ___const_20995HAT0 ∧ x6 = ___const_2446HAT0 ∧ x7 = ___const_25172HAT0 ∧ x8 = ___const_3196HAT0 ∧ x9 = ___const_4433HAT0 ∧ x10 = ___const_6270HAT0 ∧ x11 = ___const_7373HAT0 ∧ x12 = ___const_8HAT0 ∧ x13 = ___const_9633HAT0 ∧ x14 = _constant22HAT0 ∧ x15 = _i20HAT0 ∧ x16 = _lx2HAT0 ∧ x17 = _tmp03HAT0 ∧ x18 = _tmp1011HAT0 ∧ x19 = _tmp1112HAT0 ∧ x20 = _tmp1213HAT0 ∧ x21 = _tmp1314HAT0 ∧ x22 = _tmp14HAT0 ∧ x23 = _tmp25HAT0 ∧ x24 = _tmp36HAT0 ∧ x25 = _tmp47HAT0 ∧ x26 = _tmp58HAT0 ∧ x27 = _tmp69HAT0 ∧ x28 = _tmp710HAT0 ∧ x29 = _z115HAT0 ∧ x30 = _z216HAT0 ∧ x31 = _z317HAT0 ∧ x32 = _z418HAT0 ∧ x33 = _z519HAT0 ∧ x1 = ___const_12299HATpost ∧ x2 = ___const_15137HATpost ∧ x3 = ___const_16069HATpost ∧ x4 = ___const_16819HATpost ∧ x5 = ___const_20995HATpost ∧ x6 = ___const_2446HATpost ∧ x7 = ___const_25172HATpost ∧ x8 = ___const_3196HATpost ∧ x9 = ___const_4433HATpost ∧ x10 = ___const_6270HATpost ∧ x11 = ___const_7373HATpost ∧ x12 = ___const_8HATpost ∧ x13 = ___const_9633HATpost ∧ x14 = _constant22HATpost ∧ x15 = _i20HATpost ∧ x16 = _lx2HATpost ∧ x17 = _tmp03HATpost ∧ x18 = _tmp1011HATpost ∧ x19 = _tmp1112HATpost ∧ x20 = _tmp1213HATpost ∧ x21 = _tmp1314HATpost ∧ x22 = _tmp14HATpost ∧ x23 = _tmp25HATpost ∧ x24 = _tmp36HATpost ∧ x25 = _tmp47HATpost ∧ x26 = _tmp58HATpost ∧ x27 = _tmp69HATpost ∧ x28 = _tmp710HATpost ∧ x29 = _z115HATpost ∧ x30 = _z216HATpost ∧ x31 = _z317HATpost ∧ x32 = _z418HATpost ∧ x33 = _z519HATpost ∧ _z519HAT0 = _z519HATpost ∧ _z418HAT0 = _z418HATpost ∧ _z317HAT0 = _z317HATpost ∧ _z216HAT0 = _z216HATpost ∧ _z115HAT0 = _z115HATpost ∧ _tmp710HAT0 = _tmp710HATpost ∧ _tmp69HAT0 = _tmp69HATpost ∧ _tmp58HAT0 = _tmp58HATpost ∧ _tmp47HAT0 = _tmp47HATpost ∧ _tmp36HAT0 = _tmp36HATpost ∧ _tmp25HAT0 = _tmp25HATpost ∧ _tmp14HAT0 = _tmp14HATpost ∧ _tmp1314HAT0 = _tmp1314HATpost ∧ _tmp1213HAT0 = _tmp1213HATpost ∧ _tmp1112HAT0 = _tmp1112HATpost ∧ _tmp1011HAT0 = _tmp1011HATpost ∧ _tmp03HAT0 = _tmp03HATpost ∧ _lx2HAT0 = _lx2HATpost ∧ _constant22HAT0 = _constant22HATpost ∧ ___const_9633HAT0 = ___const_9633HATpost ∧ ___const_8HAT0 = ___const_8HATpost ∧ ___const_7373HAT0 = ___const_7373HATpost ∧ ___const_6270HAT0 = ___const_6270HATpost ∧ ___const_4433HAT0 = ___const_4433HATpost ∧ ___const_3196HAT0 = ___const_3196HATpost ∧ ___const_25172HAT0 = ___const_25172HATpost ∧ ___const_2446HAT0 = ___const_2446HATpost ∧ ___const_20995HAT0 = ___const_20995HATpost ∧ ___const_16819HAT0 = ___const_16819HATpost ∧ ___const_16069HAT0 = ___const_16069HATpost ∧ ___const_15137HAT0 = ___const_15137HATpost ∧ ___const_12299HAT0 = ___const_12299HATpost ∧ _i20HATpost = 0 ∧ ___const_8HAT0 ≤ _i20HAT0
l0	2	l2:	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 ∧ x26 = _x25 ∧ x27 = _x26 ∧ x28 = _x27 ∧ x29 = _x28 ∧ x30 = _x29 ∧ x31 = _x30 ∧ x32 = _x31 ∧ x33 = _x32 ∧ x1 = _x33 ∧ x2 = _x34 ∧ x3 = _x35 ∧ x4 = _x36 ∧ x5 = _x37 ∧ x6 = _x38 ∧ x7 = _x39 ∧ x8 = _x40 ∧ x9 = _x41 ∧ x10 = _x42 ∧ x11 = _x43 ∧ x12 = _x44 ∧ x13 = _x45 ∧ x14 = _x46 ∧ x15 = _x47 ∧ x16 = _x48 ∧ x17 = _x49 ∧ x18 = _x50 ∧ x19 = _x51 ∧ x20 = _x52 ∧ x21 = _x53 ∧ x22 = _x54 ∧ x23 = _x55 ∧ x24 = _x56 ∧ x25 = _x57 ∧ x26 = _x58 ∧ x27 = _x59 ∧ x28 = _x60 ∧ x29 = _x61 ∧ x30 = _x62 ∧ x31 = _x63 ∧ x32 = _x64 ∧ x33 = _x65 ∧ 1 + _x14 ≤ _x11 ∧ _x49 = _x49 ∧ _x66 = _x66 ∧ _x54 = _x54 ∧ _x67 = _x67 ∧ _x55 = _x55 ∧ _x68 = _x68 ∧ _x56 = _x56 ∧ _x69 = _x69 ∧ _x50 = _x49 + _x56 ∧ _x53 = _x49 − _x56 ∧ _x51 = _x54 + _x55 ∧ _x52 = _x54 − _x55 ∧ _x70 = _x8 ∧ _x71 = _x71 ∧ _x72 = _x9 ∧ _x73 = − _x1 ∧ _x74 = _x69 + _x66 ∧ _x75 = _x68 + _x67 ∧ _x76 = _x69 + _x67 ∧ _x77 = _x68 + _x66 ∧ _x78 = _x12 ∧ _x65 = _x65 ∧ _x79 = _x5 ∧ _x57 = _x57 ∧ _x80 = _x3 ∧ _x58 = _x58 ∧ _x81 = _x6 ∧ _x59 = _x59 ∧ _x82 = _x ∧ _x60 = _x60 ∧ _x83 = − _x10 ∧ _x61 = _x61 ∧ _x84 = − _x4 ∧ _x62 = _x62 ∧ _x85 = − _x2 ∧ _x86 = _x86 ∧ _x46 = − _x7 ∧ _x87 = _x87 ∧ _x63 = _x86 + _x65 ∧ _x64 = _x87 + _x65 ∧ _x47 = 1 + _x14 ∧ _x = _x33 ∧ _x1 = _x34 ∧ _x2 = _x35 ∧ _x3 = _x36 ∧ _x4 = _x37 ∧ _x5 = _x38 ∧ _x6 = _x39 ∧ _x7 = _x40 ∧ _x8 = _x41 ∧ _x9 = _x42 ∧ _x10 = _x43 ∧ _x11 = _x44 ∧ _x12 = _x45 ∧ _x15 = _x48
l3	3	l4:	x1 = _x88 ∧ x2 = _x89 ∧ x3 = _x90 ∧ x4 = _x91 ∧ x5 = _x92 ∧ x6 = _x93 ∧ x7 = _x94 ∧ x8 = _x95 ∧ x9 = _x96 ∧ x10 = _x97 ∧ x11 = _x98 ∧ x12 = _x99 ∧ x13 = _x100 ∧ x14 = _x101 ∧ x15 = _x102 ∧ x16 = _x103 ∧ x17 = _x104 ∧ x18 = _x105 ∧ x19 = _x106 ∧ x20 = _x107 ∧ x21 = _x108 ∧ x22 = _x109 ∧ x23 = _x110 ∧ x24 = _x111 ∧ x25 = _x112 ∧ x26 = _x113 ∧ x27 = _x114 ∧ x28 = _x115 ∧ x29 = _x116 ∧ x30 = _x117 ∧ x31 = _x118 ∧ x32 = _x119 ∧ x33 = _x120 ∧ x1 = _x121 ∧ x2 = _x122 ∧ x3 = _x123 ∧ x4 = _x124 ∧ x5 = _x125 ∧ x6 = _x126 ∧ x7 = _x127 ∧ x8 = _x128 ∧ x9 = _x129 ∧ x10 = _x130 ∧ x11 = _x131 ∧ x12 = _x132 ∧ x13 = _x133 ∧ x14 = _x134 ∧ x15 = _x135 ∧ x16 = _x136 ∧ x17 = _x137 ∧ x18 = _x138 ∧ x19 = _x139 ∧ x20 = _x140 ∧ x21 = _x141 ∧ x22 = _x142 ∧ x23 = _x143 ∧ x24 = _x144 ∧ x25 = _x145 ∧ x26 = _x146 ∧ x27 = _x147 ∧ x28 = _x148 ∧ x29 = _x149 ∧ x30 = _x150 ∧ x31 = _x151 ∧ x32 = _x152 ∧ x33 = _x153 ∧ _x120 = _x153 ∧ _x119 = _x152 ∧ _x118 = _x151 ∧ _x117 = _x150 ∧ _x116 = _x149 ∧ _x115 = _x148 ∧ _x114 = _x147 ∧ _x113 = _x146 ∧ _x112 = _x145 ∧ _x111 = _x144 ∧ _x110 = _x143 ∧ _x109 = _x142 ∧ _x108 = _x141 ∧ _x107 = _x140 ∧ _x106 = _x139 ∧ _x105 = _x138 ∧ _x104 = _x137 ∧ _x103 = _x136 ∧ _x102 = _x135 ∧ _x101 = _x134 ∧ _x100 = _x133 ∧ _x99 = _x132 ∧ _x98 = _x131 ∧ _x97 = _x130 ∧ _x96 = _x129 ∧ _x95 = _x128 ∧ _x94 = _x127 ∧ _x93 = _x126 ∧ _x92 = _x125 ∧ _x91 = _x124 ∧ _x90 = _x123 ∧ _x89 = _x122 ∧ _x88 = _x121 ∧ _x99 ≤ _x102
l3	4	l1:	x1 = _x154 ∧ x2 = _x155 ∧ x3 = _x156 ∧ x4 = _x157 ∧ x5 = _x158 ∧ x6 = _x159 ∧ x7 = _x160 ∧ x8 = _x161 ∧ x9 = _x162 ∧ x10 = _x163 ∧ x11 = _x164 ∧ x12 = _x165 ∧ x13 = _x166 ∧ x14 = _x167 ∧ x15 = _x168 ∧ x16 = _x169 ∧ x17 = _x170 ∧ x18 = _x171 ∧ x19 = _x172 ∧ x20 = _x173 ∧ x21 = _x174 ∧ x22 = _x175 ∧ x23 = _x176 ∧ x24 = _x177 ∧ x25 = _x178 ∧ x26 = _x179 ∧ x27 = _x180 ∧ x28 = _x181 ∧ x29 = _x182 ∧ x30 = _x183 ∧ x31 = _x184 ∧ x32 = _x185 ∧ x33 = _x186 ∧ x1 = _x187 ∧ x2 = _x188 ∧ x3 = _x189 ∧ x4 = _x190 ∧ x5 = _x191 ∧ x6 = _x192 ∧ x7 = _x193 ∧ x8 = _x194 ∧ x9 = _x195 ∧ x10 = _x196 ∧ x11 = _x197 ∧ x12 = _x198 ∧ x13 = _x199 ∧ x14 = _x200 ∧ x15 = _x201 ∧ x16 = _x202 ∧ x17 = _x203 ∧ x18 = _x204 ∧ x19 = _x205 ∧ x20 = _x206 ∧ x21 = _x207 ∧ x22 = _x208 ∧ x23 = _x209 ∧ x24 = _x210 ∧ x25 = _x211 ∧ x26 = _x212 ∧ x27 = _x213 ∧ x28 = _x214 ∧ x29 = _x215 ∧ x30 = _x216 ∧ x31 = _x217 ∧ x32 = _x218 ∧ x33 = _x219 ∧ 1 + _x168 ≤ _x165 ∧ _x203 = _x203 ∧ _x220 = _x220 ∧ _x208 = _x208 ∧ _x221 = _x221 ∧ _x209 = _x209 ∧ _x222 = _x222 ∧ _x210 = _x210 ∧ _x223 = _x223 ∧ _x204 = _x203 + _x210 ∧ _x207 = _x203 − _x210 ∧ _x205 = _x208 + _x209 ∧ _x206 = _x208 − _x209 ∧ _x224 = _x162 ∧ _x225 = _x225 ∧ _x226 = _x163 ∧ _x227 = − _x155 ∧ _x228 = _x223 + _x220 ∧ _x229 = _x222 + _x221 ∧ _x230 = _x223 + _x221 ∧ _x231 = _x222 + _x220 ∧ _x232 = _x166 ∧ _x219 = _x219 ∧ _x233 = _x159 ∧ _x211 = _x211 ∧ _x234 = _x157 ∧ _x212 = _x212 ∧ _x235 = _x160 ∧ _x213 = _x213 ∧ _x236 = _x154 ∧ _x214 = _x214 ∧ _x237 = − _x164 ∧ _x215 = _x215 ∧ _x238 = − _x158 ∧ _x216 = _x216 ∧ _x239 = − _x156 ∧ _x240 = _x240 ∧ _x200 = − _x161 ∧ _x241 = _x241 ∧ _x217 = _x240 + _x219 ∧ _x218 = _x241 + _x219 ∧ _x201 = 1 + _x168 ∧ _x154 = _x187 ∧ _x155 = _x188 ∧ _x156 = _x189 ∧ _x157 = _x190 ∧ _x158 = _x191 ∧ _x159 = _x192 ∧ _x160 = _x193 ∧ _x161 = _x194 ∧ _x162 = _x195 ∧ _x163 = _x196 ∧ _x164 = _x197 ∧ _x165 = _x198 ∧ _x166 = _x199 ∧ _x169 = _x202
l2	5	l0:	x1 = _x242 ∧ x2 = _x243 ∧ x3 = _x244 ∧ x4 = _x245 ∧ x5 = _x246 ∧ x6 = _x247 ∧ x7 = _x248 ∧ x8 = _x249 ∧ x9 = _x250 ∧ x10 = _x251 ∧ x11 = _x252 ∧ x12 = _x253 ∧ x13 = _x254 ∧ x14 = _x255 ∧ x15 = _x256 ∧ x16 = _x257 ∧ x17 = _x258 ∧ x18 = _x259 ∧ x19 = _x260 ∧ x20 = _x261 ∧ x21 = _x262 ∧ x22 = _x263 ∧ x23 = _x264 ∧ x24 = _x265 ∧ x25 = _x266 ∧ x26 = _x267 ∧ x27 = _x268 ∧ x28 = _x269 ∧ x29 = _x270 ∧ x30 = _x271 ∧ x31 = _x272 ∧ x32 = _x273 ∧ x33 = _x274 ∧ x1 = _x275 ∧ x2 = _x276 ∧ x3 = _x277 ∧ x4 = _x278 ∧ x5 = _x279 ∧ x6 = _x280 ∧ x7 = _x281 ∧ x8 = _x282 ∧ x9 = _x283 ∧ x10 = _x284 ∧ x11 = _x285 ∧ x12 = _x286 ∧ x13 = _x287 ∧ x14 = _x288 ∧ x15 = _x289 ∧ x16 = _x290 ∧ x17 = _x291 ∧ x18 = _x292 ∧ x19 = _x293 ∧ x20 = _x294 ∧ x21 = _x295 ∧ x22 = _x296 ∧ x23 = _x297 ∧ x24 = _x298 ∧ x25 = _x299 ∧ x26 = _x300 ∧ x27 = _x301 ∧ x28 = _x302 ∧ x29 = _x303 ∧ x30 = _x304 ∧ x31 = _x305 ∧ x32 = _x306 ∧ x33 = _x307 ∧ _x274 = _x307 ∧ _x273 = _x306 ∧ _x272 = _x305 ∧ _x271 = _x304 ∧ _x270 = _x303 ∧ _x269 = _x302 ∧ _x268 = _x301 ∧ _x267 = _x300 ∧ _x266 = _x299 ∧ _x265 = _x298 ∧ _x264 = _x297 ∧ _x263 = _x296 ∧ _x262 = _x295 ∧ _x261 = _x294 ∧ _x260 = _x293 ∧ _x259 = _x292 ∧ _x258 = _x291 ∧ _x257 = _x290 ∧ _x256 = _x289 ∧ _x255 = _x288 ∧ _x254 = _x287 ∧ _x253 = _x286 ∧ _x252 = _x285 ∧ _x251 = _x284 ∧ _x250 = _x283 ∧ _x249 = _x282 ∧ _x248 = _x281 ∧ _x247 = _x280 ∧ _x246 = _x279 ∧ _x245 = _x278 ∧ _x244 = _x277 ∧ _x243 = _x276 ∧ _x242 = _x275
l1	6	l3:	x1 = _x308 ∧ x2 = _x309 ∧ x3 = _x310 ∧ x4 = _x311 ∧ x5 = _x312 ∧ x6 = _x313 ∧ x7 = _x314 ∧ x8 = _x315 ∧ x9 = _x316 ∧ x10 = _x317 ∧ x11 = _x318 ∧ x12 = _x319 ∧ x13 = _x320 ∧ x14 = _x321 ∧ x15 = _x322 ∧ x16 = _x323 ∧ x17 = _x324 ∧ x18 = _x325 ∧ x19 = _x326 ∧ x20 = _x327 ∧ x21 = _x328 ∧ x22 = _x329 ∧ x23 = _x330 ∧ x24 = _x331 ∧ x25 = _x332 ∧ x26 = _x333 ∧ x27 = _x334 ∧ x28 = _x335 ∧ x29 = _x336 ∧ x30 = _x337 ∧ x31 = _x338 ∧ x32 = _x339 ∧ x33 = _x340 ∧ x1 = _x341 ∧ x2 = _x342 ∧ x3 = _x343 ∧ x4 = _x344 ∧ x5 = _x345 ∧ x6 = _x346 ∧ x7 = _x347 ∧ x8 = _x348 ∧ x9 = _x349 ∧ x10 = _x350 ∧ x11 = _x351 ∧ x12 = _x352 ∧ x13 = _x353 ∧ x14 = _x354 ∧ x15 = _x355 ∧ x16 = _x356 ∧ x17 = _x357 ∧ x18 = _x358 ∧ x19 = _x359 ∧ x20 = _x360 ∧ x21 = _x361 ∧ x22 = _x362 ∧ x23 = _x363 ∧ x24 = _x364 ∧ x25 = _x365 ∧ x26 = _x366 ∧ x27 = _x367 ∧ x28 = _x368 ∧ x29 = _x369 ∧ x30 = _x370 ∧ x31 = _x371 ∧ x32 = _x372 ∧ x33 = _x373 ∧ _x340 = _x373 ∧ _x339 = _x372 ∧ _x338 = _x371 ∧ _x337 = _x370 ∧ _x336 = _x369 ∧ _x335 = _x368 ∧ _x334 = _x367 ∧ _x333 = _x366 ∧ _x332 = _x365 ∧ _x331 = _x364 ∧ _x330 = _x363 ∧ _x329 = _x362 ∧ _x328 = _x361 ∧ _x327 = _x360 ∧ _x326 = _x359 ∧ _x325 = _x358 ∧ _x324 = _x357 ∧ _x323 = _x356 ∧ _x322 = _x355 ∧ _x321 = _x354 ∧ _x320 = _x353 ∧ _x319 = _x352 ∧ _x318 = _x351 ∧ _x317 = _x350 ∧ _x316 = _x349 ∧ _x315 = _x348 ∧ _x314 = _x347 ∧ _x313 = _x346 ∧ _x312 = _x345 ∧ _x311 = _x344 ∧ _x310 = _x343 ∧ _x309 = _x342 ∧ _x308 = _x341
l5	7	l2:	x1 = _x374 ∧ x2 = _x375 ∧ x3 = _x376 ∧ x4 = _x377 ∧ x5 = _x378 ∧ x6 = _x379 ∧ x7 = _x380 ∧ x8 = _x381 ∧ x9 = _x382 ∧ x10 = _x383 ∧ x11 = _x384 ∧ x12 = _x385 ∧ x13 = _x386 ∧ x14 = _x387 ∧ x15 = _x388 ∧ x16 = _x389 ∧ x17 = _x390 ∧ x18 = _x391 ∧ x19 = _x392 ∧ x20 = _x393 ∧ x21 = _x394 ∧ x22 = _x395 ∧ x23 = _x396 ∧ x24 = _x397 ∧ x25 = _x398 ∧ x26 = _x399 ∧ x27 = _x400 ∧ x28 = _x401 ∧ x29 = _x402 ∧ x30 = _x403 ∧ x31 = _x404 ∧ x32 = _x405 ∧ x33 = _x406 ∧ x1 = _x407 ∧ x2 = _x408 ∧ x3 = _x409 ∧ x4 = _x410 ∧ x5 = _x411 ∧ x6 = _x412 ∧ x7 = _x413 ∧ x8 = _x414 ∧ x9 = _x415 ∧ x10 = _x416 ∧ x11 = _x417 ∧ x12 = _x418 ∧ x13 = _x419 ∧ x14 = _x420 ∧ x15 = _x421 ∧ x16 = _x422 ∧ x17 = _x423 ∧ x18 = _x424 ∧ x19 = _x425 ∧ x20 = _x426 ∧ x21 = _x427 ∧ x22 = _x428 ∧ x23 = _x429 ∧ x24 = _x430 ∧ x25 = _x431 ∧ x26 = _x432 ∧ x27 = _x433 ∧ x28 = _x434 ∧ x29 = _x435 ∧ x30 = _x436 ∧ x31 = _x437 ∧ x32 = _x438 ∧ x33 = _x439 ∧ _x406 = _x439 ∧ _x405 = _x438 ∧ _x404 = _x437 ∧ _x403 = _x436 ∧ _x402 = _x435 ∧ _x401 = _x434 ∧ _x400 = _x433 ∧ _x399 = _x432 ∧ _x398 = _x431 ∧ _x397 = _x430 ∧ _x396 = _x429 ∧ _x395 = _x428 ∧ _x394 = _x427 ∧ _x393 = _x426 ∧ _x392 = _x425 ∧ _x391 = _x424 ∧ _x390 = _x423 ∧ _x387 = _x420 ∧ _x386 = _x419 ∧ _x385 = _x418 ∧ _x384 = _x417 ∧ _x383 = _x416 ∧ _x382 = _x415 ∧ _x381 = _x414 ∧ _x380 = _x413 ∧ _x379 = _x412 ∧ _x378 = _x411 ∧ _x377 = _x410 ∧ _x376 = _x409 ∧ _x375 = _x408 ∧ _x374 = _x407 ∧ _x421 = 0 ∧ _x422 = _x385
l6	8	l5:	x1 = _x440 ∧ x2 = _x441 ∧ x3 = _x442 ∧ x4 = _x443 ∧ x5 = _x444 ∧ x6 = _x445 ∧ x7 = _x446 ∧ x8 = _x447 ∧ x9 = _x448 ∧ x10 = _x449 ∧ x11 = _x450 ∧ x12 = _x451 ∧ x13 = _x452 ∧ x14 = _x453 ∧ x15 = _x454 ∧ x16 = _x455 ∧ x17 = _x456 ∧ x18 = _x457 ∧ x19 = _x458 ∧ x20 = _x459 ∧ x21 = _x460 ∧ x22 = _x461 ∧ x23 = _x462 ∧ x24 = _x463 ∧ x25 = _x464 ∧ x26 = _x465 ∧ x27 = _x466 ∧ x28 = _x467 ∧ x29 = _x468 ∧ x30 = _x469 ∧ x31 = _x470 ∧ x32 = _x471 ∧ x33 = _x472 ∧ x1 = _x473 ∧ x2 = _x474 ∧ x3 = _x475 ∧ x4 = _x476 ∧ x5 = _x477 ∧ x6 = _x478 ∧ x7 = _x479 ∧ x8 = _x480 ∧ x9 = _x481 ∧ x10 = _x482 ∧ x11 = _x483 ∧ x12 = _x484 ∧ x13 = _x485 ∧ x14 = _x486 ∧ x15 = _x487 ∧ x16 = _x488 ∧ x17 = _x489 ∧ x18 = _x490 ∧ x19 = _x491 ∧ x20 = _x492 ∧ x21 = _x493 ∧ x22 = _x494 ∧ x23 = _x495 ∧ x24 = _x496 ∧ x25 = _x497 ∧ x26 = _x498 ∧ x27 = _x499 ∧ x28 = _x500 ∧ x29 = _x501 ∧ x30 = _x502 ∧ x31 = _x503 ∧ x32 = _x504 ∧ x33 = _x505 ∧ _x472 = _x505 ∧ _x471 = _x504 ∧ _x470 = _x503 ∧ _x469 = _x502 ∧ _x468 = _x501 ∧ _x467 = _x500 ∧ _x466 = _x499 ∧ _x465 = _x498 ∧ _x464 = _x497 ∧ _x463 = _x496 ∧ _x462 = _x495 ∧ _x461 = _x494 ∧ _x460 = _x493 ∧ _x459 = _x492 ∧ _x458 = _x491 ∧ _x457 = _x490 ∧ _x456 = _x489 ∧ _x455 = _x488 ∧ _x454 = _x487 ∧ _x453 = _x486 ∧ _x452 = _x485 ∧ _x451 = _x484 ∧ _x450 = _x483 ∧ _x449 = _x482 ∧ _x448 = _x481 ∧ _x447 = _x480 ∧ _x446 = _x479 ∧ _x445 = _x478 ∧ _x444 = _x477 ∧ _x443 = _x476 ∧ _x442 = _x475 ∧ _x441 = _x474 ∧ _x440 = _x473

Proof

1 Switch to Cooperation Termination Proof

We consider the following cutpoint-transitions:

l5	l5	l5:	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 ∧ x26 = x26 ∧ x27 = x27 ∧ x28 = x28 ∧ x29 = x29 ∧ x30 = x30 ∧ x31 = x31 ∧ x32 = x32 ∧ x33 = x33
l6	l6	l6:	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 ∧ x26 = x26 ∧ x27 = x27 ∧ x28 = x28 ∧ x29 = x29 ∧ x30 = x30 ∧ x31 = x31 ∧ x32 = x32 ∧ x33 = x33
l1	l1	l1:	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 ∧ x26 = x26 ∧ x27 = x27 ∧ x28 = x28 ∧ x29 = x29 ∧ x30 = x30 ∧ x31 = x31 ∧ x32 = x32 ∧ x33 = x33
l3	l3	l3:	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 ∧ x26 = x26 ∧ x27 = x27 ∧ x28 = x28 ∧ x29 = x29 ∧ x30 = x30 ∧ x31 = x31 ∧ x32 = x32 ∧ x33 = x33
l0	l0	l0:	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 ∧ x26 = x26 ∧ x27 = x27 ∧ x28 = x28 ∧ x29 = x29 ∧ x30 = x30 ∧ x31 = x31 ∧ x32 = x32 ∧ x33 = x33
l2	l2	l2:	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 ∧ x26 = x26 ∧ x27 = x27 ∧ x28 = x28 ∧ x29 = x29 ∧ x30 = x30 ∧ x31 = x31 ∧ x32 = x32 ∧ x33 = x33

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 { l0, l2 }.

2.1.1 Transition Removal

We remove transition 2 using the following ranking functions, which are bounded by 0.

l0:	−1 + x12 − x15
l2:	−1 + x12 − x15

2.1.2 Transition Removal

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

l2:	0
l0:	−1

2.1.3 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 { l1, l3 }.

2.2.1 Transition Removal

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

l1:	2⋅x12 − 2⋅x15 + 1
l3:	2⋅x12 − 2⋅x15

2.2.2 Transition Removal

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

l1:	0
l3:	−1

2.2.3 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 % (10 real / 0 unknown / 0 assumptions / 10 total proof steps)