LTS Termination Proof

Input

Integer Transition System

Initial Location: f603_0_createMap_Return, f4672_0_containsValue_NULL, f4731_0_containsValue_EQ, f4768_0_put_NULL, f4085_0_random_ArrayAccess, f4846_0_put_EQ, f5387_0_transfer_ArrayAccess, f4007_0_createMap_LE, f1_0_main_Load, f5292_0_transfer_GE, __init, f4571_0_containsValue_GE

Transitions: (pre-variables and post-variables)

f1_0_main_Load	1	f4085_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 ∧ x14 = _arg14 ∧ 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 ∧ −1 ≤ _x7 − 1 ∧ 0 ≤ _arg2 − 1 ∧ 0 ≤ _arg1 − 1 ∧ 3 ≤ _arg1P − 1 ∧ _arg2 = _arg2P
f603_0_createMap_Return	2	f4085_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 ∧ x14 = _x14 ∧ x1 = _x15 ∧ x2 = _x16 ∧ x3 = _x17 ∧ x4 = _x18 ∧ x5 = _x19 ∧ x6 = _x20 ∧ x7 = _x21 ∧ x8 = _x22 ∧ x9 = _x23 ∧ x10 = _x24 ∧ x11 = _x25 ∧ x12 = _x26 ∧ x13 = _x27 ∧ x14 = _x28 ∧ 12 = _x19 ∧ _x4 = _x18 ∧ 16 = _x17 ∧ 12 = _x5 ∧ 16 = _x3 ∧ _x4 + 3 ≤ _x1 ∧ 14 ≤ _x15 − 1 ∧ 14 ≤ _x1 − 1 ∧ 0 ≤ _x − 1 ∧ _x15 ≤ _x1
f1_0_main_Load	3	f4007_0_createMap_LE:	x1 = _x31 ∧ x2 = _x33 ∧ x3 = _x34 ∧ x4 = _x35 ∧ x5 = _x36 ∧ x6 = _x37 ∧ x7 = _x39 ∧ x8 = _x40 ∧ x9 = _x41 ∧ x10 = _x42 ∧ x11 = _x43 ∧ x12 = _x44 ∧ x13 = _x45 ∧ x14 = _x46 ∧ x1 = _x47 ∧ x2 = _x48 ∧ x3 = _x49 ∧ x4 = _x50 ∧ x5 = _x51 ∧ x6 = _x52 ∧ x7 = _x53 ∧ x8 = _x54 ∧ x9 = _x55 ∧ x10 = _x56 ∧ x11 = _x57 ∧ x12 = _x58 ∧ x13 = _x59 ∧ x14 = _x60 ∧ 12 = _x53 ∧ 0 = _x52 ∧ 16 = _x51 ∧ 1 = _x50 ∧ _x33 = _x49 ∧ 14 ≤ _x47 − 1 ∧ 0 ≤ _x31 − 1 ∧ _x47 − 14 ≤ _x31 ∧ 0 ≤ _x33 − 1 ∧ −1 ≤ _x48 − 1
f4007_0_createMap_LE	4	f4007_0_createMap_LE:	x1 = _x61 ∧ x2 = _x62 ∧ x3 = _x63 ∧ x4 = _x64 ∧ x5 = _x65 ∧ x6 = _x66 ∧ x7 = _x67 ∧ x8 = _x68 ∧ x9 = _x69 ∧ x10 = _x70 ∧ x11 = _x71 ∧ x12 = _x72 ∧ x13 = _x73 ∧ x14 = _x74 ∧ x1 = _x75 ∧ x2 = _x76 ∧ x3 = _x77 ∧ x4 = _x78 ∧ x5 = _x79 ∧ x6 = _x80 ∧ x7 = _x81 ∧ x8 = _x82 ∧ x9 = _x83 ∧ x10 = _x84 ∧ x11 = _x85 ∧ x12 = _x86 ∧ x13 = _x87 ∧ x14 = _x88 ∧ 0 ≤ _x62 − 1 ∧ _x64 + 1 ≤ _x63 − 1 ∧ −1 ≤ _x63 − 1 ∧ −1 ≤ _x64 − 1 ∧ −1 ≤ _x89 − 1 ∧ −1 ≤ _x90 − 1 ∧ 1 ≤ _x65 − 1 ∧ 3 ≤ _x61 − 1 ∧ 3 ≤ _x75 − 1 ∧ _x67 + 3 ≤ _x61 ∧ _x66 + 3 ≤ _x61 ∧ _x62 − 1 = _x76 ∧ _x63 = _x77 ∧ _x64 + 2 = _x78
f4085_0_random_ArrayAccess	5	f4571_0_containsValue_GE:	x1 = _x91 ∧ x2 = _x92 ∧ x3 = _x93 ∧ x4 = _x94 ∧ x5 = _x95 ∧ x6 = _x96 ∧ x7 = _x97 ∧ x8 = _x98 ∧ x9 = _x99 ∧ x10 = _x100 ∧ x11 = _x101 ∧ x12 = _x102 ∧ x13 = _x103 ∧ x14 = _x104 ∧ x1 = _x105 ∧ x2 = _x106 ∧ x3 = _x107 ∧ x4 = _x108 ∧ x5 = _x109 ∧ x6 = _x110 ∧ x7 = _x111 ∧ x8 = _x112 ∧ x9 = _x113 ∧ x10 = _x114 ∧ x11 = _x115 ∧ x12 = _x116 ∧ x13 = _x117 ∧ x14 = _x120 ∧ _x121 ≤ _x92 − 1 ∧ 1 ≤ _x93 − 1 ∧ −1 ≤ _x121 − 1 ∧ −1 ≤ _x122 − 1 ∧ 0 ≤ _x92 − 1 ∧ _x105 + 3 ≤ _x91 ∧ 3 ≤ _x91 − 1 ∧ 0 ≤ _x105 − 1 ∧ _x95 + 3 ≤ _x91 ∧ _x94 + 3 ≤ _x91 ∧ 0 = _x106 ∧ _x93 = _x107
f4571_0_containsValue_GE	6	f4672_0_containsValue_NULL:	x1 = _x123 ∧ x2 = _x124 ∧ x3 = _x125 ∧ x4 = _x126 ∧ x5 = _x127 ∧ x6 = _x128 ∧ x7 = _x129 ∧ x8 = _x130 ∧ x9 = _x131 ∧ x10 = _x132 ∧ x11 = _x133 ∧ x12 = _x134 ∧ x13 = _x135 ∧ x14 = _x136 ∧ x1 = _x137 ∧ x2 = _x138 ∧ x3 = _x139 ∧ x4 = _x140 ∧ x5 = _x141 ∧ x6 = _x142 ∧ x7 = _x143 ∧ x8 = _x144 ∧ x9 = _x145 ∧ x10 = _x146 ∧ x11 = _x147 ∧ x12 = _x148 ∧ x13 = _x149 ∧ x14 = _x150 ∧ _x125 = _x141 ∧ _x124 = _x138 ∧ −1 ≤ _x139 − 1 ∧ 0 ≤ _x137 − 1 ∧ 0 ≤ _x123 − 1 ∧ _x124 ≤ _x125 − 1 ∧ _x137 ≤ _x123
f4672_0_containsValue_NULL	7	f4571_0_containsValue_GE:	x1 = _x151 ∧ x2 = _x152 ∧ x3 = _x153 ∧ x4 = _x154 ∧ x5 = _x155 ∧ x6 = _x156 ∧ x7 = _x157 ∧ x8 = _x158 ∧ x9 = _x159 ∧ x10 = _x160 ∧ x11 = _x161 ∧ x12 = _x162 ∧ x13 = _x163 ∧ x14 = _x164 ∧ x1 = _x165 ∧ x2 = _x166 ∧ x3 = _x167 ∧ x4 = _x169 ∧ x5 = _x170 ∧ x6 = _x171 ∧ x7 = _x172 ∧ x8 = _x173 ∧ x9 = _x174 ∧ x10 = _x175 ∧ x11 = _x176 ∧ x12 = _x177 ∧ x13 = _x178 ∧ x14 = _x179 ∧ _x155 = _x167 ∧ _x152 + 1 = _x166 ∧ 0 ≤ _x165 − 1 ∧ −1 ≤ _x153 − 1 ∧ 0 ≤ _x151 − 1 ∧ _x165 − 1 ≤ _x153 ∧ −1 ≤ _x155 − 1 ∧ _x165 ≤ _x151
f4672_0_containsValue_NULL	8	f1755_0_equals_CheckCast:	x1 = _x180 ∧ x2 = _x181 ∧ x3 = _x182 ∧ x4 = _x183 ∧ x5 = _x184 ∧ x6 = _x185 ∧ x7 = _x186 ∧ x8 = _x187 ∧ x9 = _x188 ∧ x10 = _x189 ∧ x11 = _x190 ∧ x12 = _x191 ∧ x13 = _x192 ∧ x14 = _x193 ∧ 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 ∧ _x196 + 2 ≤ _x182 ∧ 0 ≤ _x195 − 1 ∧ 0 ≤ _x182 − 1 ∧ 0 ≤ _x180 − 1 ∧ _x181 ≤ _x184 − 1 ∧ 1 ≤ _x184 − 1
f4672_0_containsValue_NULL	9	f4731_0_containsValue_EQ:	x1 = _x208 ∧ x2 = _x209 ∧ x3 = _x210 ∧ x4 = _x211 ∧ x5 = _x212 ∧ x6 = _x213 ∧ x7 = _x214 ∧ x8 = _x215 ∧ x9 = _x216 ∧ x10 = _x217 ∧ x11 = _x218 ∧ x12 = _x219 ∧ x13 = _x220 ∧ x14 = _x221 ∧ x1 = _x222 ∧ x2 = _x223 ∧ x3 = _x224 ∧ x4 = _x225 ∧ x5 = _x226 ∧ x6 = _x227 ∧ x7 = _x228 ∧ x8 = _x229 ∧ x9 = _x230 ∧ x10 = _x231 ∧ x11 = _x232 ∧ x12 = _x233 ∧ x13 = _x234 ∧ x14 = _x235 ∧ _x212 = _x227 ∧ _x211 = _x226 ∧ 0 = _x225 ∧ _x209 = _x223 ∧ _x230 + 2 ≤ _x210 ∧ _x231 + 2 ≤ _x210 ∧ _x228 + 4 ≤ _x210 ∧ −1 ≤ _x229 − 1 ∧ 2 ≤ _x224 − 1 ∧ 0 ≤ _x222 − 1 ∧ 2 ≤ _x210 − 1 ∧ 0 ≤ _x208 − 1 ∧ _x229 + 2 ≤ _x210 ∧ _x224 ≤ _x210 ∧ _x222 + 2 ≤ _x210 ∧ _x222 ≤ _x208 ∧ _x209 ≤ _x212 − 1 ∧ 1 ≤ _x212 − 1
f4672_0_containsValue_NULL	10	f4731_0_containsValue_EQ:	x1 = _x236 ∧ x2 = _x237 ∧ x3 = _x238 ∧ x4 = _x239 ∧ x5 = _x240 ∧ x6 = _x241 ∧ x7 = _x242 ∧ x8 = _x243 ∧ x9 = _x244 ∧ x10 = _x245 ∧ x11 = _x246 ∧ x12 = _x247 ∧ x13 = _x248 ∧ x14 = _x249 ∧ x1 = _x250 ∧ x2 = _x251 ∧ x3 = _x252 ∧ x4 = _x253 ∧ x5 = _x254 ∧ x6 = _x255 ∧ x7 = _x256 ∧ x8 = _x257 ∧ x9 = _x258 ∧ x10 = _x259 ∧ x11 = _x260 ∧ x12 = _x261 ∧ x13 = _x262 ∧ x14 = _x263 ∧ _x240 = _x255 ∧ _x239 = _x254 ∧ 1 = _x253 ∧ _x237 = _x251 ∧ _x258 + 2 ≤ _x238 ∧ _x259 + 2 ≤ _x238 ∧ _x256 + 4 ≤ _x238 ∧ −1 ≤ _x257 − 1 ∧ 2 ≤ _x252 − 1 ∧ 0 ≤ _x250 − 1 ∧ 2 ≤ _x238 − 1 ∧ 0 ≤ _x236 − 1 ∧ _x257 + 2 ≤ _x238 ∧ _x252 ≤ _x238 ∧ _x250 + 2 ≤ _x238 ∧ _x250 ≤ _x236 ∧ _x237 ≤ _x240 − 1 ∧ 1 ≤ _x240 − 1
f4672_0_containsValue_NULL	11	f4672_0_containsValue_NULL:	x1 = _x264 ∧ x2 = _x265 ∧ x3 = _x266 ∧ x4 = _x267 ∧ x5 = _x268 ∧ x6 = _x269 ∧ x7 = _x270 ∧ x8 = _x271 ∧ x9 = _x272 ∧ x10 = _x273 ∧ x11 = _x274 ∧ x12 = _x275 ∧ x13 = _x276 ∧ x14 = _x277 ∧ x1 = _x278 ∧ x2 = _x279 ∧ x3 = _x280 ∧ x4 = _x281 ∧ x5 = _x282 ∧ x6 = _x283 ∧ x7 = _x284 ∧ x8 = _x285 ∧ x9 = _x286 ∧ x10 = _x287 ∧ x11 = _x288 ∧ x12 = _x289 ∧ x13 = _x290 ∧ x14 = _x291 ∧ _x268 = _x282 ∧ _x267 = _x281 ∧ _x265 = _x279 ∧ −1 ≤ _x280 − 1 ∧ 0 ≤ _x278 − 1 ∧ 1 ≤ _x266 − 1 ∧ 0 ≤ _x264 − 1 ∧ _x280 + 2 ≤ _x266 ∧ _x278 + 1 ≤ _x266 ∧ _x278 ≤ _x264 ∧ _x265 ≤ _x268 − 1 ∧ 1 ≤ _x268 − 1
f4672_0_containsValue_NULL	12	f4672_0_containsValue_NULL:	x1 = _x292 ∧ x2 = _x293 ∧ x3 = _x294 ∧ x4 = _x295 ∧ x5 = _x296 ∧ x6 = _x297 ∧ x7 = _x298 ∧ x8 = _x300 ∧ x9 = _x301 ∧ x10 = _x302 ∧ x11 = _x303 ∧ x12 = _x304 ∧ x13 = _x305 ∧ x14 = _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 ∧ _x296 = _x311 ∧ _x295 = _x310 ∧ _x293 = _x308 ∧ −1 ≤ _x309 − 1 ∧ 0 ≤ _x307 − 1 ∧ 2 ≤ _x294 − 1 ∧ 0 ≤ _x292 − 1 ∧ _x309 + 2 ≤ _x294 ∧ _x307 + 2 ≤ _x294 ∧ _x307 ≤ _x292 ∧ _x293 ≤ _x296 − 1 ∧ 1 ≤ _x296 − 1
f4731_0_containsValue_EQ	13	f4672_0_containsValue_NULL:	x1 = _x321 ∧ x2 = _x322 ∧ x3 = _x323 ∧ x4 = _x324 ∧ x5 = _x325 ∧ x6 = _x326 ∧ x7 = _x327 ∧ x8 = _x328 ∧ x9 = _x329 ∧ x10 = _x330 ∧ x11 = _x331 ∧ x12 = _x332 ∧ x13 = _x333 ∧ x14 = _x334 ∧ x1 = _x335 ∧ x2 = _x336 ∧ x3 = _x337 ∧ x4 = _x338 ∧ x5 = _x339 ∧ x6 = _x340 ∧ x7 = _x341 ∧ x8 = _x342 ∧ x9 = _x343 ∧ x10 = _x344 ∧ x11 = _x345 ∧ x12 = _x346 ∧ x13 = _x347 ∧ x14 = _x348 ∧ _x326 = _x339 ∧ _x325 = _x338 ∧ _x322 = _x336 ∧ 0 = _x324 ∧ _x330 + 2 ≤ _x323 ∧ _x329 + 2 ≤ _x323 ∧ _x327 + 4 ≤ _x323 ∧ −1 ≤ _x337 − 1 ∧ 0 ≤ _x335 − 1 ∧ −1 ≤ _x328 − 1 ∧ 2 ≤ _x323 − 1 ∧ 0 ≤ _x321 − 1 ∧ _x337 ≤ _x328 ∧ _x337 + 2 ≤ _x323 ∧ _x335 − 1 ≤ _x328 ∧ _x335 + 2 ≤ _x323 ∧ _x335 ≤ _x321
f4007_0_createMap_LE	14	f4768_0_put_NULL:	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 ∧ x1 = _x363 ∧ x2 = _x364 ∧ x3 = _x365 ∧ x4 = _x366 ∧ x5 = _x367 ∧ x6 = _x368 ∧ x7 = _x369 ∧ x8 = _x370 ∧ x9 = _x371 ∧ x10 = _x372 ∧ x11 = _x373 ∧ x12 = _x374 ∧ x13 = _x375 ∧ x14 = _x376 ∧ _x352 + 1 ≤ _x351 − 1 ∧ 1 ≤ _x353 − 1 ∧ 0 ≤ _x350 − 1 ∧ −1 ≤ _x351 − 1 ∧ −1 ≤ _x352 − 1 ∧ −1 ≤ _x377 − 1 ∧ −1 ≤ _x378 − 1 ∧ _x365 ≤ _x353 − 1 ∧ _x363 ≤ _x349 ∧ 3 ≤ _x349 − 1 ∧ 3 ≤ _x363 − 1 ∧ −1 ≤ _x366 − 1 ∧ _x355 + 3 ≤ _x349 ∧ _x354 + 3 ≤ _x349 ∧ _x352 + 2 = _x367 ∧ _x353 = _x368 ∧ _x354 = _x369 ∧ _x355 = _x370
f4768_0_put_NULL	15	f1755_0_equals_CheckCast:	x1 = _x379 ∧ x2 = _x380 ∧ x3 = _x381 ∧ x4 = _x382 ∧ x5 = _x383 ∧ x6 = _x384 ∧ x7 = _x385 ∧ x8 = _x386 ∧ x9 = _x387 ∧ x10 = _x388 ∧ x11 = _x389 ∧ x12 = _x390 ∧ x13 = _x391 ∧ x14 = _x392 ∧ x1 = _x393 ∧ x2 = _x394 ∧ x3 = _x395 ∧ x4 = _x396 ∧ x5 = _x397 ∧ x6 = _x398 ∧ x7 = _x399 ∧ x8 = _x400 ∧ x9 = _x401 ∧ x10 = _x402 ∧ x11 = _x403 ∧ x12 = _x404 ∧ x13 = _x405 ∧ x14 = _x406 ∧ _x380 + 2 ≤ _x382 ∧ _x395 + 2 ≤ _x382 ∧ _x386 + 3 ≤ _x379 ∧ _x385 + 3 ≤ _x379 ∧ 0 ≤ _x394 − 1 ∧ 0 ≤ _x382 − 1 ∧ 3 ≤ _x379 − 1 ∧ 1 ≤ _x383 − 1 ∧ 1 ≤ _x384 − 1
f4768_0_put_NULL	16	f4846_0_put_EQ:	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 ∧ x1 = _x421 ∧ x2 = _x422 ∧ x3 = _x423 ∧ x4 = _x424 ∧ x5 = _x425 ∧ x6 = _x426 ∧ x7 = _x427 ∧ x8 = _x428 ∧ x9 = _x429 ∧ x10 = _x430 ∧ x11 = _x431 ∧ x12 = _x432 ∧ x13 = _x433 ∧ x14 = _x434 ∧ _x408 = _x431 ∧ _x414 = _x428 ∧ _x413 = _x427 ∧ _x412 = _x426 ∧ _x411 = _x425 ∧ 0 = _x424 ∧ _x409 = _x422 ∧ _x432 + 4 ≤ _x410 ∧ _x408 + 2 ≤ _x410 ∧ _x429 + 2 ≤ _x410 ∧ _x414 + 3 ≤ _x407 ∧ _x413 + 3 ≤ _x407 ∧ −1 ≤ _x430 − 1 ∧ 2 ≤ _x423 − 1 ∧ 3 ≤ _x421 − 1 ∧ 2 ≤ _x410 − 1 ∧ 3 ≤ _x407 − 1 ∧ _x430 + 2 ≤ _x410 ∧ _x423 ≤ _x410 ∧ _x421 ≤ _x407 ∧ 1 ≤ _x411 − 1 ∧ 1 ≤ _x412 − 1
f4768_0_put_NULL	17	f4846_0_put_EQ:	x1 = _x435 ∧ x2 = _x436 ∧ x3 = _x437 ∧ x4 = _x438 ∧ x5 = _x439 ∧ x6 = _x440 ∧ x7 = _x441 ∧ x8 = _x442 ∧ x9 = _x443 ∧ x10 = _x444 ∧ x11 = _x445 ∧ x12 = _x446 ∧ x13 = _x447 ∧ x14 = _x448 ∧ x1 = _x449 ∧ x2 = _x450 ∧ x3 = _x451 ∧ x4 = _x452 ∧ x5 = _x453 ∧ x6 = _x454 ∧ x7 = _x455 ∧ x8 = _x456 ∧ x9 = _x457 ∧ x10 = _x458 ∧ x11 = _x459 ∧ x12 = _x460 ∧ x13 = _x461 ∧ x14 = _x462 ∧ _x436 = _x459 ∧ _x442 = _x456 ∧ _x441 = _x455 ∧ _x440 = _x454 ∧ _x439 = _x453 ∧ 1 = _x452 ∧ _x437 = _x450 ∧ _x460 + 4 ≤ _x438 ∧ _x436 + 2 ≤ _x438 ∧ _x457 + 2 ≤ _x438 ∧ _x442 + 3 ≤ _x435 ∧ _x441 + 3 ≤ _x435 ∧ −1 ≤ _x458 − 1 ∧ 2 ≤ _x451 − 1 ∧ 3 ≤ _x449 − 1 ∧ 2 ≤ _x438 − 1 ∧ 3 ≤ _x435 − 1 ∧ _x458 + 2 ≤ _x438 ∧ _x451 ≤ _x438 ∧ _x449 ≤ _x435 ∧ 1 ≤ _x439 − 1 ∧ 1 ≤ _x440 − 1
f4768_0_put_NULL	18	f4768_0_put_NULL:	x1 = _x463 ∧ x2 = _x464 ∧ x3 = _x465 ∧ x4 = _x466 ∧ x5 = _x467 ∧ x6 = _x468 ∧ x7 = _x469 ∧ x8 = _x470 ∧ x9 = _x471 ∧ x10 = _x472 ∧ x11 = _x473 ∧ x12 = _x474 ∧ x13 = _x475 ∧ x14 = _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 ∧ x14 = _x490 ∧ _x477 ≤ _x463 ∧ _x491 ≤ _x464 − 1 ∧ _x480 + 1 ≤ _x466 ∧ 3 ≤ _x463 − 1 ∧ 0 ≤ _x466 − 1 ∧ 3 ≤ _x477 − 1 ∧ −1 ≤ _x480 − 1 ∧ _x469 + 3 ≤ _x463 ∧ _x470 + 3 ≤ _x463 ∧ _x464 = _x478 ∧ _x465 = _x479 ∧ _x467 = _x481 ∧ _x468 = _x482 ∧ _x469 = _x483 ∧ _x470 = _x484
f4768_0_put_NULL	19	f4768_0_put_NULL:	x1 = _x492 ∧ x2 = _x493 ∧ x3 = _x494 ∧ x4 = _x495 ∧ x5 = _x496 ∧ x6 = _x497 ∧ x7 = _x498 ∧ x8 = _x499 ∧ x9 = _x500 ∧ x10 = _x501 ∧ x11 = _x502 ∧ x12 = _x503 ∧ x13 = _x504 ∧ x14 = _x505 ∧ x1 = _x506 ∧ x2 = _x507 ∧ x3 = _x508 ∧ x4 = _x509 ∧ x5 = _x510 ∧ x6 = _x511 ∧ x7 = _x512 ∧ x8 = _x513 ∧ x9 = _x514 ∧ x10 = _x515 ∧ x11 = _x516 ∧ x12 = _x517 ∧ x13 = _x518 ∧ x14 = _x519 ∧ _x506 ≤ _x492 ∧ _x493 ≤ _x520 − 1 ∧ _x509 + 1 ≤ _x495 ∧ 3 ≤ _x492 − 1 ∧ 0 ≤ _x495 − 1 ∧ 3 ≤ _x506 − 1 ∧ −1 ≤ _x509 − 1 ∧ _x498 + 3 ≤ _x492 ∧ _x499 + 3 ≤ _x492 ∧ _x493 = _x507 ∧ _x494 = _x508 ∧ _x496 = _x510 ∧ _x497 = _x511 ∧ _x498 = _x512 ∧ _x499 = _x513
f4768_0_put_NULL	20	f4768_0_put_NULL:	x1 = _x521 ∧ x2 = _x522 ∧ x3 = _x523 ∧ x4 = _x524 ∧ x5 = _x525 ∧ x6 = _x526 ∧ x7 = _x527 ∧ x8 = _x528 ∧ x9 = _x529 ∧ x10 = _x530 ∧ x11 = _x531 ∧ x12 = _x532 ∧ x13 = _x533 ∧ x14 = _x534 ∧ x1 = _x535 ∧ x2 = _x536 ∧ x3 = _x537 ∧ x4 = _x538 ∧ x5 = _x539 ∧ x6 = _x540 ∧ x7 = _x541 ∧ x8 = _x542 ∧ x9 = _x543 ∧ x10 = _x544 ∧ x11 = _x545 ∧ x12 = _x546 ∧ x13 = _x547 ∧ x14 = _x548 ∧ _x528 = _x542 ∧ _x527 = _x541 ∧ _x526 = _x540 ∧ _x525 = _x539 ∧ _x523 = _x537 ∧ _x522 = _x536 ∧ _x522 + 2 ≤ _x524 ∧ _x528 + 3 ≤ _x521 ∧ _x527 + 3 ≤ _x521 ∧ −1 ≤ _x538 − 1 ∧ 3 ≤ _x535 − 1 ∧ 1 ≤ _x524 − 1 ∧ 3 ≤ _x521 − 1 ∧ _x538 + 2 ≤ _x524 ∧ _x535 ≤ _x521 ∧ 1 ≤ _x525 − 1 ∧ 1 ≤ _x526 − 1
f4768_0_put_NULL	21	f4768_0_put_NULL:	x1 = _x549 ∧ x2 = _x550 ∧ x3 = _x551 ∧ x4 = _x552 ∧ x5 = _x553 ∧ x6 = _x554 ∧ x7 = _x555 ∧ x8 = _x556 ∧ x9 = _x557 ∧ x10 = _x558 ∧ x11 = _x559 ∧ x12 = _x560 ∧ x13 = _x561 ∧ x14 = _x562 ∧ x1 = _x563 ∧ x2 = _x564 ∧ x3 = _x565 ∧ x4 = _x566 ∧ x5 = _x567 ∧ x6 = _x568 ∧ x7 = _x569 ∧ x8 = _x570 ∧ x9 = _x571 ∧ x10 = _x572 ∧ x11 = _x573 ∧ x12 = _x574 ∧ x13 = _x575 ∧ x14 = _x576 ∧ _x556 = _x570 ∧ _x555 = _x569 ∧ _x554 = _x568 ∧ _x553 = _x567 ∧ _x551 = _x565 ∧ _x550 = _x564 ∧ _x550 + 2 ≤ _x552 ∧ _x556 + 3 ≤ _x549 ∧ _x555 + 3 ≤ _x549 ∧ −1 ≤ _x566 − 1 ∧ 3 ≤ _x563 − 1 ∧ 2 ≤ _x552 − 1 ∧ 3 ≤ _x549 − 1 ∧ _x566 + 2 ≤ _x552 ∧ _x563 ≤ _x549 ∧ 1 ≤ _x553 − 1 ∧ 1 ≤ _x554 − 1
f4846_0_put_EQ	22	f4768_0_put_NULL:	x1 = _x577 ∧ x2 = _x578 ∧ x3 = _x579 ∧ x4 = _x580 ∧ x5 = _x581 ∧ x6 = _x582 ∧ x7 = _x583 ∧ x8 = _x584 ∧ x9 = _x585 ∧ x10 = _x586 ∧ x11 = _x587 ∧ x12 = _x588 ∧ x13 = _x589 ∧ x14 = _x590 ∧ x1 = _x591 ∧ x2 = _x592 ∧ x3 = _x593 ∧ x4 = _x594 ∧ x5 = _x595 ∧ x6 = _x596 ∧ x7 = _x597 ∧ x8 = _x598 ∧ x9 = _x599 ∧ x10 = _x600 ∧ x11 = _x601 ∧ x12 = _x602 ∧ x13 = _x603 ∧ x14 = _x604 ∧ _x584 = _x598 ∧ _x583 = _x597 ∧ _x582 = _x596 ∧ _x581 = _x595 ∧ _x578 = _x593 ∧ _x587 = _x592 ∧ 0 = _x580 ∧ _x588 + 4 ≤ _x579 ∧ _x587 + 2 ≤ _x579 ∧ _x585 + 2 ≤ _x579 ∧ _x584 + 3 ≤ _x577 ∧ _x583 + 3 ≤ _x577 ∧ −1 ≤ _x594 − 1 ∧ 3 ≤ _x591 − 1 ∧ −1 ≤ _x586 − 1 ∧ 2 ≤ _x579 − 1 ∧ 3 ≤ _x577 − 1 ∧ _x594 ≤ _x586 ∧ _x594 + 2 ≤ _x579 ∧ _x591 ≤ _x577
f4768_0_put_NULL	23	f5292_0_transfer_GE:	x1 = _x605 ∧ x2 = _x606 ∧ x3 = _x607 ∧ x4 = _x608 ∧ x5 = _x609 ∧ x6 = _x610 ∧ x7 = _x611 ∧ x8 = _x612 ∧ x9 = _x613 ∧ x10 = _x614 ∧ x11 = _x615 ∧ x12 = _x616 ∧ x13 = _x617 ∧ x14 = _x618 ∧ x1 = _x619 ∧ x2 = _x620 ∧ x3 = _x621 ∧ x4 = _x622 ∧ x5 = _x623 ∧ x6 = _x624 ∧ x7 = _x625 ∧ x8 = _x626 ∧ x9 = _x627 ∧ x10 = _x628 ∧ x11 = _x629 ∧ x12 = _x630 ∧ x13 = _x631 ∧ x14 = _x632 ∧ _x610 = _x626 ∧ 2⋅_x610 = _x625 ∧ _x612 = _x624 ∧ _x611 + 1 = _x623 ∧ 0 = _x622 ∧ _x612 + 3 ≤ _x605 ∧ _x611 + 3 ≤ _x605 ∧ 0 ≤ _x621 − 1 ∧ 0 ≤ _x620 − 1 ∧ 3 ≤ _x619 − 1 ∧ −1 ≤ _x608 − 1 ∧ 3 ≤ _x605 − 1 ∧ _x621 − 1 ≤ _x608 ∧ _x621 + 3 ≤ _x605 ∧ _x620 − 1 ≤ _x608 ∧ _x620 + 3 ≤ _x605 ∧ _x619 − 1 ≤ _x605 ∧ _x610 ≤ 1073741823 ∧ 0 ≤ 2⋅_x610 ∧ _x612 ≤ _x611 ∧ 1 ≤ _x610 − 1 ∧ _x607 ≤ _x610 − 1
f4768_0_put_NULL	24	f5292_0_transfer_GE:	x1 = _x633 ∧ x2 = _x634 ∧ x3 = _x635 ∧ x4 = _x636 ∧ x5 = _x637 ∧ x6 = _x638 ∧ x7 = _x639 ∧ x8 = _x640 ∧ x9 = _x641 ∧ x10 = _x642 ∧ x11 = _x643 ∧ x12 = _x644 ∧ x13 = _x645 ∧ x14 = _x646 ∧ 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 ∧ x14 = _x660 ∧ _x638 = _x654 ∧ 2⋅_x638 = _x653 ∧ _x640 = _x652 ∧ _x639 + 1 = _x651 ∧ 0 = _x650 ∧ _x640 + 3 ≤ _x633 ∧ _x639 + 3 ≤ _x633 ∧ 0 ≤ _x649 − 1 ∧ 0 ≤ _x648 − 1 ∧ 3 ≤ _x647 − 1 ∧ −1 ≤ _x636 − 1 ∧ 3 ≤ _x633 − 1 ∧ _x649 − 1 ≤ _x636 ∧ _x649 + 3 ≤ _x633 ∧ _x648 − 1 ≤ _x636 ∧ _x648 + 3 ≤ _x633 ∧ _x647 − 1 ≤ _x633 ∧ _x640 ≤ _x639 ∧ 0 ≤ 2⋅_x638 ∧ 1073741824 ≤ _x638 − 1 ∧ _x635 ≤ _x638 − 1
f5292_0_transfer_GE	25	f5387_0_transfer_ArrayAccess:	x1 = _x661 ∧ x2 = _x662 ∧ x3 = _x663 ∧ x4 = _x664 ∧ x5 = _x665 ∧ x6 = _x666 ∧ x7 = _x667 ∧ x8 = _x668 ∧ x9 = _x669 ∧ x10 = _x670 ∧ x11 = _x671 ∧ x12 = _x672 ∧ x13 = _x673 ∧ x14 = _x674 ∧ x1 = _x675 ∧ x2 = _x676 ∧ x3 = _x677 ∧ x4 = _x678 ∧ x5 = _x679 ∧ x6 = _x680 ∧ x7 = _x681 ∧ x8 = _x682 ∧ x9 = _x683 ∧ x10 = _x684 ∧ x11 = _x685 ∧ x12 = _x686 ∧ x13 = _x687 ∧ x14 = _x688 ∧ _x667 = _x688 ∧ _x668 = _x684 ∧ _x666 = _x683 ∧ _x665 = _x682 ∧ _x664 = _x677 ∧ _x666 + 3 ≤ _x661 ∧ _x665 + 3 ≤ _x661 ∧ 0 ≤ _x680 − 1 ∧ 0 ≤ _x679 − 1 ∧ −1 ≤ _x678 − 1 ∧ 0 ≤ _x676 − 1 ∧ 3 ≤ _x675 − 1 ∧ 0 ≤ _x663 − 1 ∧ 0 ≤ _x662 − 1 ∧ 3 ≤ _x661 − 1 ∧ _x680 ≤ _x663 ∧ _x680 ≤ _x662 ∧ _x680 + 3 ≤ _x661 ∧ _x676 ≤ _x663 ∧ _x676 ≤ _x662 ∧ _x676 + 3 ≤ _x661 ∧ _x675 ≤ _x661 ∧ _x664 ≤ _x668 − 1 ∧ 0 ≤ _x667 − 1
f5387_0_transfer_ArrayAccess	26	f5387_0_transfer_ArrayAccess:	x1 = _x689 ∧ x2 = _x690 ∧ x3 = _x691 ∧ x4 = _x692 ∧ x5 = _x693 ∧ x6 = _x694 ∧ x7 = _x695 ∧ x8 = _x696 ∧ x9 = _x697 ∧ x10 = _x698 ∧ x11 = _x699 ∧ x12 = _x700 ∧ x13 = _x701 ∧ x14 = _x702 ∧ x1 = _x703 ∧ x2 = _x704 ∧ x3 = _x705 ∧ x4 = _x706 ∧ x5 = _x707 ∧ x6 = _x708 ∧ x7 = _x709 ∧ x8 = _x710 ∧ x9 = _x711 ∧ x10 = _x712 ∧ x11 = _x713 ∧ x12 = _x714 ∧ x13 = _x715 ∧ x14 = _x716 ∧ _x702 = _x716 ∧ _x698 = _x712 ∧ _x697 = _x711 ∧ _x696 = _x710 ∧ _x691 = _x705 ∧ _x701 + 2 ≤ _x693 ∧ _x700 + 2 ≤ _x693 ∧ _x715 + 4 ≤ _x693 ∧ _x714 + 4 ≤ _x693 ∧ _x713 + 4 ≤ _x693 ∧ _x699 + 2 ≤ _x693 ∧ _x715 + 2 ≤ _x692 ∧ _x714 + 2 ≤ _x692 ∧ _x713 + 2 ≤ _x692 ∧ _x697 + 3 ≤ _x689 ∧ _x696 + 3 ≤ _x689 ∧ 0 ≤ _x708 − 1 ∧ 0 ≤ _x707 − 1 ∧ −1 ≤ _x706 − 1 ∧ 0 ≤ _x704 − 1 ∧ 3 ≤ _x703 − 1 ∧ 0 ≤ _x694 − 1 ∧ 2 ≤ _x693 − 1 ∧ 0 ≤ _x692 − 1 ∧ 0 ≤ _x690 − 1 ∧ 3 ≤ _x689 − 1 ∧ _x708 ≤ _x694 ∧ _x708 + 2 ≤ _x693 ∧ _x708 ≤ _x692 ∧ _x708 ≤ _x690 ∧ _x708 + 3 ≤ _x689 ∧ _x707 + 2 ≤ _x693 ∧ _x707 ≤ _x692 ∧ _x706 + 3 ≤ _x693 ∧ _x706 + 1 ≤ _x692 ∧ _x704 ≤ _x694 ∧ _x704 + 2 ≤ _x693 ∧ _x704 ≤ _x692 ∧ _x704 ≤ _x690 ∧ _x704 + 3 ≤ _x689 ∧ _x703 ≤ _x689 ∧ 0 ≤ _x702 − 1 ∧ _x695 ≤ _x702 − 1
f5292_0_transfer_GE	27	f5292_0_transfer_GE:	x1 = _x717 ∧ x2 = _x718 ∧ x3 = _x719 ∧ x4 = _x720 ∧ x5 = _x721 ∧ x6 = _x722 ∧ x7 = _x723 ∧ x8 = _x724 ∧ x9 = _x725 ∧ x10 = _x726 ∧ x11 = _x727 ∧ x12 = _x728 ∧ x13 = _x729 ∧ x14 = _x730 ∧ x1 = _x731 ∧ x2 = _x732 ∧ x3 = _x733 ∧ x4 = _x734 ∧ x5 = _x735 ∧ x6 = _x736 ∧ x7 = _x737 ∧ x8 = _x738 ∧ x9 = _x739 ∧ x10 = _x740 ∧ x11 = _x741 ∧ x12 = _x742 ∧ x13 = _x743 ∧ x14 = _x744 ∧ _x724 = _x738 ∧ _x723 = _x737 ∧ _x722 = _x736 ∧ _x721 = _x735 ∧ _x720 + 1 = _x734 ∧ _x722 + 3 ≤ _x717 ∧ _x721 + 3 ≤ _x717 ∧ 0 ≤ _x733 − 1 ∧ 0 ≤ _x732 − 1 ∧ 3 ≤ _x731 − 1 ∧ 0 ≤ _x719 − 1 ∧ 0 ≤ _x718 − 1 ∧ 3 ≤ _x717 − 1 ∧ _x733 ≤ _x719 ∧ _x733 ≤ _x718 ∧ _x733 + 3 ≤ _x717 ∧ _x732 ≤ _x719 ∧ _x732 ≤ _x718 ∧ _x732 + 3 ≤ _x717 ∧ _x731 ≤ _x717 ∧ _x720 ≤ _x724 − 1 ∧ −1 ≤ _x724 − 1
f5387_0_transfer_ArrayAccess	28	f5292_0_transfer_GE:	x1 = _x745 ∧ x2 = _x746 ∧ x3 = _x747 ∧ x4 = _x748 ∧ x5 = _x749 ∧ x6 = _x750 ∧ x7 = _x751 ∧ x8 = _x752 ∧ x9 = _x753 ∧ x10 = _x754 ∧ x11 = _x755 ∧ x12 = _x756 ∧ x13 = _x757 ∧ x14 = _x758 ∧ x1 = _x759 ∧ x2 = _x760 ∧ x3 = _x761 ∧ x4 = _x762 ∧ x5 = _x763 ∧ x6 = _x764 ∧ x7 = _x765 ∧ x8 = _x766 ∧ x9 = _x767 ∧ x10 = _x768 ∧ x11 = _x769 ∧ x12 = _x770 ∧ x13 = _x771 ∧ x14 = _x772 ∧ _x754 = _x766 ∧ _x758 = _x765 ∧ _x753 = _x764 ∧ _x752 = _x763 ∧ _x747 + 1 = _x762 ∧ _x757 + 2 ≤ _x749 ∧ _x756 + 2 ≤ _x749 ∧ _x755 + 2 ≤ _x749 ∧ _x753 + 3 ≤ _x745 ∧ _x752 + 3 ≤ _x745 ∧ 0 ≤ _x761 − 1 ∧ 0 ≤ _x760 − 1 ∧ 3 ≤ _x759 − 1 ∧ 0 ≤ _x750 − 1 ∧ 1 ≤ _x749 − 1 ∧ −1 ≤ _x748 − 1 ∧ 0 ≤ _x746 − 1 ∧ 3 ≤ _x745 − 1 ∧ _x761 ≤ _x750 ∧ _x761 + 1 ≤ _x749 ∧ _x761 − 1 ≤ _x748 ∧ _x761 ≤ _x746 ∧ _x761 + 3 ≤ _x745 ∧ _x760 ≤ _x750 ∧ _x760 + 1 ≤ _x749 ∧ _x760 − 1 ≤ _x748 ∧ _x760 ≤ _x746 ∧ _x760 + 3 ≤ _x745 ∧ _x759 ≤ _x745 ∧ _x751 ≤ _x758 − 1 ∧ −1 ≤ _x754 − 1
__init	29	f1_0_main_Load:	x1 = _x773 ∧ x2 = _x774 ∧ x3 = _x775 ∧ x4 = _x776 ∧ x5 = _x777 ∧ x6 = _x778 ∧ x7 = _x779 ∧ x8 = _x780 ∧ x9 = _x781 ∧ x10 = _x782 ∧ x11 = _x783 ∧ x12 = _x784 ∧ x13 = _x785 ∧ x14 = _x786 ∧ x1 = _x787 ∧ x2 = _x788 ∧ x3 = _x789 ∧ x4 = _x790 ∧ x5 = _x791 ∧ x6 = _x792 ∧ x7 = _x793 ∧ x8 = _x794 ∧ x9 = _x795 ∧ x10 = _x796 ∧ x11 = _x797 ∧ x12 = _x798 ∧ x13 = _x799 ∧ x14 = _x800 ∧ 0 ≤ 0

Proof

1 Switch to Cooperation Termination Proof

We consider the following cutpoint-transitions:

f603_0_createMap_Return	f603_0_createMap_Return	f603_0_createMap_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
f4672_0_containsValue_NULL	f4672_0_containsValue_NULL	f4672_0_containsValue_NULL:	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
f4731_0_containsValue_EQ	f4731_0_containsValue_EQ	f4731_0_containsValue_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
f4768_0_put_NULL	f4768_0_put_NULL	f4768_0_put_NULL:	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
f4085_0_random_ArrayAccess	f4085_0_random_ArrayAccess	f4085_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
f4846_0_put_EQ	f4846_0_put_EQ	f4846_0_put_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
f5387_0_transfer_ArrayAccess	f5387_0_transfer_ArrayAccess	f5387_0_transfer_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
f4007_0_createMap_LE	f4007_0_createMap_LE	f4007_0_createMap_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
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
f5292_0_transfer_GE	f5292_0_transfer_GE	f5292_0_transfer_GE:	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
__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
f4571_0_containsValue_GE	f4571_0_containsValue_GE	f4571_0_containsValue_GE:	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

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

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 { f4007_0_createMap_LE }.

2.1.1 Transition Removal

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

f4007_0_createMap_LE:

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 { f4768_0_put_NULL, f4846_0_put_EQ }.

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.

f4768_0_put_NULL:	1 + x4
f4846_0_put_EQ:	x3

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 { f5387_0_transfer_ArrayAccess, f5292_0_transfer_GE }.

2.3.1 Transition Removal

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

f5292_0_transfer_GE:	−1 − x4 + 2⋅x8
f5387_0_transfer_ArrayAccess:	−1 − x3 + 2⋅x10

2.3.2 Transition Removal

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

f5292_0_transfer_GE:	−2⋅x4 + 2⋅x8 + 2
f5387_0_transfer_ArrayAccess:	−2⋅x3 + 2⋅x10 + 1

2.3.3 Transition Removal

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

f5387_0_transfer_ArrayAccess:	x4
f5292_0_transfer_GE:	− x3

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 { f4672_0_containsValue_NULL, f4731_0_containsValue_EQ, f4571_0_containsValue_GE }.

2.4.1 Transition Removal

We remove transitions 6, 10 using the following ranking functions, which are bounded by 0.

f4571_0_containsValue_GE:	− x2 + x3
f4672_0_containsValue_NULL:	−1 − x2 + x5
f4731_0_containsValue_EQ:	−1 − x2 − x4 + x6

2.4.2 Transition Removal

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

f4672_0_containsValue_NULL:	1 + x3
f4571_0_containsValue_GE:	0
f4731_0_containsValue_EQ:	x3 + 0⋅x4

2.4.3 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 % (17 real / 0 unknown / 0 assumptions / 17 total proof steps)