LTS Termination Proof

by AProVE

Input

Integer Transition System
• Initial Location: l5, l7, l11, l1, l3, l13, l20, l17, l2, l21, l9, l14, l4, l6, l10, l8, l16, l0, l12, l19
• Transitions: (pre-variables and post-variables)  l0 1 l2: x1 = _Result_6HAT0 ∧ x2 = ___cil_tmp6_12HAT0 ∧ x3 = ___const_17HAT0 ∧ x4 = ___disjvr_0HAT0 ∧ x5 = ___disjvr_1HAT0 ∧ x6 = ___disjvr_2HAT0 ∧ x7 = ___disjvr_3HAT0 ∧ x8 = ___disjvr_4HAT0 ∧ x9 = ___disjvr_5HAT0 ∧ x10 = ___disjvr_6HAT0 ∧ x11 = ___patmp1HAT0 ∧ x12 = ___patmp2HAT0 ∧ x13 = _a_128HAT0 ∧ x14 = _a_243HAT0 ∧ x15 = _c_15HAT0 ∧ x16 = _cnt_133HAT0 ∧ x17 = _cnt_139HAT0 ∧ x18 = _cnt_269HAT0 ∧ x19 = _cnt_276HAT0 ∧ x20 = _elem_16HAT0 ∧ x21 = _head_9HAT0 ∧ x22 = _i_8HAT0 ∧ x23 = _k_296HAT0 ∧ x24 = _len_246HAT0 ∧ x25 = _len_48HAT0 ∧ x26 = _length_7HAT0 ∧ x27 = _lt_18HAT0 ∧ x28 = _lt_19HAT0 ∧ x29 = _lt_20HAT0 ∧ x30 = _lt_21HAT0 ∧ x31 = _prev_17HAT0 ∧ x32 = _tmp_10HAT0 ∧ x33 = _tmp___0_11HAT0 ∧ x34 = _x_13HAT0 ∧ x35 = _x_23HAT0 ∧ x36 = _y_110HAT0 ∧ x37 = _y_14HAT0 ∧ x38 = _y_158HAT0 ∧ x39 = _y_259HAT0 ∧ x40 = _y_309HAT0 ∧ x41 = _y_80HAT0 ∧ x1 = _Result_6HATpost ∧ x2 = ___cil_tmp6_12HATpost ∧ x3 = ___const_17HATpost ∧ x4 = ___disjvr_0HATpost ∧ x5 = ___disjvr_1HATpost ∧ x6 = ___disjvr_2HATpost ∧ x7 = ___disjvr_3HATpost ∧ x8 = ___disjvr_4HATpost ∧ x9 = ___disjvr_5HATpost ∧ x10 = ___disjvr_6HATpost ∧ x11 = ___patmp1HATpost ∧ x12 = ___patmp2HATpost ∧ x13 = _a_128HATpost ∧ x14 = _a_243HATpost ∧ x15 = _c_15HATpost ∧ x16 = _cnt_133HATpost ∧ x17 = _cnt_139HATpost ∧ x18 = _cnt_269HATpost ∧ x19 = _cnt_276HATpost ∧ x20 = _elem_16HATpost ∧ x21 = _head_9HATpost ∧ x22 = _i_8HATpost ∧ x23 = _k_296HATpost ∧ x24 = _len_246HATpost ∧ x25 = _len_48HATpost ∧ x26 = _length_7HATpost ∧ x27 = _lt_18HATpost ∧ x28 = _lt_19HATpost ∧ x29 = _lt_20HATpost ∧ x30 = _lt_21HATpost ∧ x31 = _prev_17HATpost ∧ x32 = _tmp_10HATpost ∧ x33 = _tmp___0_11HATpost ∧ x34 = _x_13HATpost ∧ x35 = _x_23HATpost ∧ x36 = _y_110HATpost ∧ x37 = _y_14HATpost ∧ x38 = _y_158HATpost ∧ x39 = _y_259HATpost ∧ x40 = _y_309HATpost ∧ x41 = _y_80HATpost ∧ 0 ≤ _len_48HAT0 ∧ − _i_8HAT0 + _length_7HAT0 ≤ 0 ∧ ___cil_tmp6_12HATpost = _head_9HAT0 ∧ _Result_6HATpost = ___cil_tmp6_12HATpost ∧ 0 ≤ _len_48HAT0 ∧ 0 ≤ _len_48HAT0 ∧ _x_13HAT1 = _Result_6HATpost ∧ _c_15HATpost = _x_13HAT1 ∧ _x_13HATpost = 0 ∧ 0 ≤ _len_48HAT0 ∧ ___const_17HAT0 = ___const_17HATpost ∧ ___disjvr_0HAT0 = ___disjvr_0HATpost ∧ ___disjvr_1HAT0 = ___disjvr_1HATpost ∧ ___disjvr_2HAT0 = ___disjvr_2HATpost ∧ ___disjvr_3HAT0 = ___disjvr_3HATpost ∧ ___disjvr_4HAT0 = ___disjvr_4HATpost ∧ ___disjvr_5HAT0 = ___disjvr_5HATpost ∧ ___disjvr_6HAT0 = ___disjvr_6HATpost ∧ ___patmp1HAT0 = ___patmp1HATpost ∧ ___patmp2HAT0 = ___patmp2HATpost ∧ _a_128HAT0 = _a_128HATpost ∧ _a_243HAT0 = _a_243HATpost ∧ _cnt_133HAT0 = _cnt_133HATpost ∧ _cnt_139HAT0 = _cnt_139HATpost ∧ _cnt_269HAT0 = _cnt_269HATpost ∧ _cnt_276HAT0 = _cnt_276HATpost ∧ _elem_16HAT0 = _elem_16HATpost ∧ _head_9HAT0 = _head_9HATpost ∧ _i_8HAT0 = _i_8HATpost ∧ _k_296HAT0 = _k_296HATpost ∧ _len_246HAT0 = _len_246HATpost ∧ _len_48HAT0 = _len_48HATpost ∧ _length_7HAT0 = _length_7HATpost ∧ _lt_18HAT0 = _lt_18HATpost ∧ _lt_19HAT0 = _lt_19HATpost ∧ _lt_20HAT0 = _lt_20HATpost ∧ _lt_21HAT0 = _lt_21HATpost ∧ _prev_17HAT0 = _prev_17HATpost ∧ _tmp_10HAT0 = _tmp_10HATpost ∧ _tmp___0_11HAT0 = _tmp___0_11HATpost ∧ _x_23HAT0 = _x_23HATpost ∧ _y_110HAT0 = _y_110HATpost ∧ _y_14HAT0 = _y_14HATpost ∧ _y_158HAT0 = _y_158HATpost ∧ _y_259HAT0 = _y_259HATpost ∧ _y_309HAT0 = _y_309HATpost ∧ _y_80HAT0 = _y_80HATpost l2 2 l3: 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 ∧ x34 = _x33 ∧ x35 = _x34 ∧ x36 = _x35 ∧ x37 = _x36 ∧ x38 = _x37 ∧ x39 = _x38 ∧ x40 = _x39 ∧ x41 = _x40 ∧ x1 = _x41 ∧ x2 = _x42 ∧ x3 = _x43 ∧ x4 = _x44 ∧ x5 = _x45 ∧ x6 = _x46 ∧ x7 = _x47 ∧ x8 = _x48 ∧ x9 = _x49 ∧ x10 = _x50 ∧ x11 = _x51 ∧ x12 = _x52 ∧ x13 = _x53 ∧ x14 = _x54 ∧ x15 = _x55 ∧ x16 = _x56 ∧ x17 = _x57 ∧ x18 = _x58 ∧ x19 = _x59 ∧ x20 = _x60 ∧ x21 = _x61 ∧ x22 = _x62 ∧ x23 = _x63 ∧ x24 = _x64 ∧ x25 = _x65 ∧ x26 = _x66 ∧ x27 = _x67 ∧ x28 = _x68 ∧ x29 = _x69 ∧ x30 = _x70 ∧ x31 = _x71 ∧ x32 = _x72 ∧ x33 = _x73 ∧ x34 = _x74 ∧ x35 = _x75 ∧ x36 = _x76 ∧ x37 = _x77 ∧ x38 = _x78 ∧ x39 = _x79 ∧ x40 = _x80 ∧ x41 = _x81 ∧ _x40 = _x81 ∧ _x39 = _x80 ∧ _x38 = _x79 ∧ _x37 = _x78 ∧ _x36 = _x77 ∧ _x35 = _x76 ∧ _x34 = _x75 ∧ _x33 = _x74 ∧ _x32 = _x73 ∧ _x31 = _x72 ∧ _x30 = _x71 ∧ _x29 = _x70 ∧ _x28 = _x69 ∧ _x27 = _x68 ∧ _x26 = _x67 ∧ _x25 = _x66 ∧ _x24 = _x65 ∧ _x23 = _x64 ∧ _x22 = _x63 ∧ _x21 = _x62 ∧ _x20 = _x61 ∧ _x19 = _x60 ∧ _x18 = _x59 ∧ _x17 = _x58 ∧ _x16 = _x57 ∧ _x15 = _x56 ∧ _x14 = _x55 ∧ _x13 = _x54 ∧ _x12 = _x53 ∧ _x11 = _x52 ∧ _x10 = _x51 ∧ _x9 = _x50 ∧ _x8 = _x49 ∧ _x7 = _x48 ∧ _x6 = _x47 ∧ _x5 = _x46 ∧ _x4 = _x45 ∧ _x3 = _x44 ∧ _x2 = _x43 ∧ _x1 = _x42 ∧ _x = _x41 ∧ _x44 = _x3 l3 3 l4: x1 = _x82 ∧ x2 = _x83 ∧ x3 = _x84 ∧ x4 = _x85 ∧ x5 = _x86 ∧ x6 = _x87 ∧ x7 = _x88 ∧ x8 = _x89 ∧ x9 = _x90 ∧ x10 = _x91 ∧ x11 = _x92 ∧ x12 = _x93 ∧ x13 = _x94 ∧ x14 = _x95 ∧ x15 = _x96 ∧ x16 = _x97 ∧ x17 = _x98 ∧ x18 = _x99 ∧ x19 = _x100 ∧ x20 = _x101 ∧ x21 = _x102 ∧ x22 = _x103 ∧ x23 = _x104 ∧ x24 = _x105 ∧ x25 = _x106 ∧ x26 = _x107 ∧ x27 = _x108 ∧ x28 = _x109 ∧ x29 = _x110 ∧ x30 = _x111 ∧ x31 = _x112 ∧ x32 = _x113 ∧ x33 = _x114 ∧ x34 = _x115 ∧ x35 = _x116 ∧ x36 = _x117 ∧ x37 = _x118 ∧ x38 = _x119 ∧ x39 = _x120 ∧ x40 = _x121 ∧ x41 = _x122 ∧ 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 ∧ x15 = _x137 ∧ x16 = _x138 ∧ x17 = _x139 ∧ x18 = _x140 ∧ x19 = _x141 ∧ x20 = _x142 ∧ x21 = _x143 ∧ x22 = _x144 ∧ x23 = _x145 ∧ x24 = _x146 ∧ x25 = _x147 ∧ x26 = _x148 ∧ x27 = _x149 ∧ x28 = _x150 ∧ x29 = _x151 ∧ x30 = _x152 ∧ x31 = _x153 ∧ x32 = _x154 ∧ x33 = _x155 ∧ x34 = _x156 ∧ x35 = _x157 ∧ x36 = _x158 ∧ x37 = _x159 ∧ x38 = _x160 ∧ x39 = _x161 ∧ x40 = _x162 ∧ x41 = _x163 ∧ _x159 = _x96 ∧ _x164 = _x122 ∧ _x137 = _x164 ∧ _x152 = _x152 ∧ _x142 = _x115 ∧ _x153 = 0 ∧ 0 ≤ −1 + _x106 ∧ _x142 ≤ 0 ∧ 0 ≤ _x142 ∧ _x153 ≤ 0 ∧ 0 ≤ _x153 ∧ _x156 = _x159 ∧ 0 ≤ −1 + _x106 ∧ _x135 = −2 + _x106 ∧ _x82 = _x123 ∧ _x83 = _x124 ∧ _x84 = _x125 ∧ _x85 = _x126 ∧ _x86 = _x127 ∧ _x87 = _x128 ∧ _x88 = _x129 ∧ _x89 = _x130 ∧ _x90 = _x131 ∧ _x91 = _x132 ∧ _x92 = _x133 ∧ _x93 = _x134 ∧ _x95 = _x136 ∧ _x97 = _x138 ∧ _x98 = _x139 ∧ _x99 = _x140 ∧ _x100 = _x141 ∧ _x102 = _x143 ∧ _x103 = _x144 ∧ _x104 = _x145 ∧ _x105 = _x146 ∧ _x106 = _x147 ∧ _x107 = _x148 ∧ _x108 = _x149 ∧ _x109 = _x150 ∧ _x110 = _x151 ∧ _x113 = _x154 ∧ _x114 = _x155 ∧ _x116 = _x157 ∧ _x117 = _x158 ∧ _x119 = _x160 ∧ _x120 = _x161 ∧ _x121 = _x162 ∧ _x122 = _x163 l4 4 l5: x1 = _x165 ∧ x2 = _x166 ∧ x3 = _x167 ∧ x4 = _x168 ∧ x5 = _x169 ∧ x6 = _x170 ∧ x7 = _x171 ∧ x8 = _x172 ∧ x9 = _x173 ∧ x10 = _x174 ∧ x11 = _x175 ∧ x12 = _x176 ∧ x13 = _x177 ∧ x14 = _x178 ∧ x15 = _x179 ∧ x16 = _x180 ∧ x17 = _x181 ∧ x18 = _x182 ∧ x19 = _x183 ∧ x20 = _x184 ∧ x21 = _x185 ∧ x22 = _x186 ∧ x23 = _x187 ∧ x24 = _x188 ∧ x25 = _x189 ∧ x26 = _x190 ∧ x27 = _x191 ∧ x28 = _x192 ∧ x29 = _x193 ∧ x30 = _x194 ∧ x31 = _x195 ∧ x32 = _x196 ∧ x33 = _x197 ∧ x34 = _x198 ∧ x35 = _x199 ∧ x36 = _x200 ∧ x37 = _x201 ∧ x38 = _x202 ∧ x39 = _x203 ∧ x40 = _x204 ∧ x41 = _x205 ∧ x1 = _x206 ∧ x2 = _x207 ∧ x3 = _x208 ∧ x4 = _x209 ∧ x5 = _x210 ∧ x6 = _x211 ∧ x7 = _x212 ∧ x8 = _x213 ∧ x9 = _x214 ∧ x10 = _x215 ∧ x11 = _x216 ∧ x12 = _x217 ∧ x13 = _x218 ∧ x14 = _x219 ∧ x15 = _x220 ∧ x16 = _x221 ∧ x17 = _x222 ∧ x18 = _x223 ∧ x19 = _x224 ∧ x20 = _x225 ∧ x21 = _x226 ∧ x22 = _x227 ∧ x23 = _x228 ∧ x24 = _x229 ∧ x25 = _x230 ∧ x26 = _x231 ∧ x27 = _x232 ∧ x28 = _x233 ∧ x29 = _x234 ∧ x30 = _x235 ∧ x31 = _x236 ∧ x32 = _x237 ∧ x33 = _x238 ∧ x34 = _x239 ∧ x35 = _x240 ∧ x36 = _x241 ∧ x37 = _x242 ∧ x38 = _x243 ∧ x39 = _x244 ∧ x40 = _x245 ∧ x41 = _x246 ∧ _x205 = _x246 ∧ _x204 = _x245 ∧ _x203 = _x244 ∧ _x202 = _x243 ∧ _x201 = _x242 ∧ _x200 = _x241 ∧ _x199 = _x240 ∧ _x198 = _x239 ∧ _x197 = _x238 ∧ _x196 = _x237 ∧ _x195 = _x236 ∧ _x194 = _x235 ∧ _x193 = _x234 ∧ _x192 = _x233 ∧ _x191 = _x232 ∧ _x190 = _x231 ∧ _x189 = _x230 ∧ _x188 = _x229 ∧ _x187 = _x228 ∧ _x186 = _x227 ∧ _x185 = _x226 ∧ _x184 = _x225 ∧ _x183 = _x224 ∧ _x182 = _x223 ∧ _x181 = _x222 ∧ _x180 = _x221 ∧ _x179 = _x220 ∧ _x178 = _x219 ∧ _x177 = _x218 ∧ _x176 = _x217 ∧ _x175 = _x216 ∧ _x174 = _x215 ∧ _x173 = _x214 ∧ _x172 = _x213 ∧ _x171 = _x212 ∧ _x170 = _x211 ∧ _x169 = _x210 ∧ _x168 = _x209 ∧ _x167 = _x208 ∧ _x166 = _x207 ∧ _x165 = _x206 ∧ _x210 = _x169 l5 5 l6: x1 = _x247 ∧ x2 = _x248 ∧ x3 = _x249 ∧ x4 = _x250 ∧ x5 = _x251 ∧ x6 = _x252 ∧ x7 = _x253 ∧ x8 = _x254 ∧ x9 = _x255 ∧ x10 = _x256 ∧ x11 = _x257 ∧ x12 = _x258 ∧ x13 = _x259 ∧ x14 = _x260 ∧ x15 = _x261 ∧ x16 = _x262 ∧ x17 = _x263 ∧ x18 = _x264 ∧ x19 = _x265 ∧ x20 = _x266 ∧ x21 = _x267 ∧ x22 = _x268 ∧ x23 = _x269 ∧ x24 = _x270 ∧ x25 = _x271 ∧ x26 = _x272 ∧ x27 = _x273 ∧ x28 = _x274 ∧ x29 = _x275 ∧ x30 = _x276 ∧ x31 = _x277 ∧ x32 = _x278 ∧ x33 = _x279 ∧ x34 = _x280 ∧ x35 = _x281 ∧ x36 = _x282 ∧ x37 = _x283 ∧ x38 = _x284 ∧ x39 = _x285 ∧ x40 = _x286 ∧ x41 = _x287 ∧ x1 = _x288 ∧ x2 = _x289 ∧ x3 = _x290 ∧ x4 = _x291 ∧ x5 = _x292 ∧ x6 = _x293 ∧ x7 = _x294 ∧ x8 = _x295 ∧ x9 = _x296 ∧ x10 = _x297 ∧ x11 = _x298 ∧ x12 = _x299 ∧ x13 = _x300 ∧ x14 = _x301 ∧ x15 = _x302 ∧ x16 = _x303 ∧ x17 = _x304 ∧ x18 = _x305 ∧ x19 = _x306 ∧ x20 = _x307 ∧ x21 = _x308 ∧ x22 = _x309 ∧ x23 = _x310 ∧ x24 = _x311 ∧ x25 = _x312 ∧ x26 = _x313 ∧ x27 = _x314 ∧ x28 = _x315 ∧ x29 = _x316 ∧ x30 = _x317 ∧ x31 = _x318 ∧ x32 = _x319 ∧ x33 = _x320 ∧ x34 = _x321 ∧ x35 = _x322 ∧ x36 = _x323 ∧ x37 = _x324 ∧ x38 = _x325 ∧ x39 = _x326 ∧ x40 = _x327 ∧ x41 = _x328 ∧ _x324 = _x261 ∧ _x329 = _x282 ∧ _x302 = _x329 ∧ _x317 = _x317 ∧ _x307 = _x280 ∧ _x318 = 0 ∧ 0 ≤ _x259 ∧ _x303 = _x303 ∧ _x304 = _x304 ∧ _x247 = _x288 ∧ _x248 = _x289 ∧ _x249 = _x290 ∧ _x250 = _x291 ∧ _x251 = _x292 ∧ _x252 = _x293 ∧ _x253 = _x294 ∧ _x254 = _x295 ∧ _x255 = _x296 ∧ _x256 = _x297 ∧ _x257 = _x298 ∧ _x258 = _x299 ∧ _x259 = _x300 ∧ _x260 = _x301 ∧ _x264 = _x305 ∧ _x265 = _x306 ∧ _x267 = _x308 ∧ _x268 = _x309 ∧ _x269 = _x310 ∧ _x270 = _x311 ∧ _x271 = _x312 ∧ _x272 = _x313 ∧ _x273 = _x314 ∧ _x274 = _x315 ∧ _x275 = _x316 ∧ _x278 = _x319 ∧ _x279 = _x320 ∧ _x280 = _x321 ∧ _x281 = _x322 ∧ _x282 = _x323 ∧ _x284 = _x325 ∧ _x285 = _x326 ∧ _x286 = _x327 ∧ _x287 = _x328 l6 6 l7: 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 ∧ x24 = _x353 ∧ x25 = _x354 ∧ x26 = _x355 ∧ x27 = _x356 ∧ x28 = _x357 ∧ x29 = _x358 ∧ x30 = _x359 ∧ x31 = _x360 ∧ x32 = _x361 ∧ x33 = _x362 ∧ x34 = _x363 ∧ x35 = _x364 ∧ x36 = _x365 ∧ x37 = _x366 ∧ x38 = _x367 ∧ x39 = _x368 ∧ x40 = _x369 ∧ x41 = _x370 ∧ x1 = _x371 ∧ x2 = _x372 ∧ x3 = _x373 ∧ x4 = _x374 ∧ x5 = _x375 ∧ x6 = _x376 ∧ x7 = _x377 ∧ x8 = _x378 ∧ x9 = _x379 ∧ x10 = _x380 ∧ x11 = _x381 ∧ x12 = _x382 ∧ x13 = _x383 ∧ x14 = _x384 ∧ x15 = _x385 ∧ x16 = _x386 ∧ x17 = _x387 ∧ x18 = _x388 ∧ x19 = _x389 ∧ x20 = _x390 ∧ x21 = _x391 ∧ x22 = _x392 ∧ x23 = _x393 ∧ x24 = _x394 ∧ x25 = _x395 ∧ x26 = _x396 ∧ x27 = _x397 ∧ x28 = _x398 ∧ x29 = _x399 ∧ x30 = _x400 ∧ x31 = _x401 ∧ x32 = _x402 ∧ x33 = _x403 ∧ x34 = _x404 ∧ x35 = _x405 ∧ x36 = _x406 ∧ x37 = _x407 ∧ x38 = _x408 ∧ x39 = _x409 ∧ x40 = _x410 ∧ x41 = _x411 ∧ _x370 = _x411 ∧ _x369 = _x410 ∧ _x368 = _x409 ∧ _x367 = _x408 ∧ _x366 = _x407 ∧ _x365 = _x406 ∧ _x364 = _x405 ∧ _x363 = _x404 ∧ _x362 = _x403 ∧ _x361 = _x402 ∧ _x360 = _x401 ∧ _x359 = _x400 ∧ _x358 = _x399 ∧ _x357 = _x398 ∧ _x356 = _x397 ∧ _x355 = _x396 ∧ _x354 = _x395 ∧ _x353 = _x394 ∧ _x352 = _x393 ∧ _x351 = _x392 ∧ _x350 = _x391 ∧ _x349 = _x390 ∧ _x348 = _x389 ∧ _x347 = _x388 ∧ _x346 = _x387 ∧ _x345 = _x386 ∧ _x344 = _x385 ∧ _x343 = _x384 ∧ _x342 = _x383 ∧ _x341 = _x382 ∧ _x340 = _x381 ∧ _x339 = _x380 ∧ _x338 = _x379 ∧ _x337 = _x378 ∧ _x336 = _x377 ∧ _x335 = _x376 ∧ _x334 = _x375 ∧ _x333 = _x374 ∧ _x332 = _x373 ∧ _x331 = _x372 ∧ _x330 = _x371 ∧ _x376 = _x335 l7 7 l8: x1 = _x412 ∧ x2 = _x413 ∧ x3 = _x414 ∧ x4 = _x415 ∧ x5 = _x416 ∧ x6 = _x417 ∧ x7 = _x418 ∧ x8 = _x419 ∧ x9 = _x420 ∧ x10 = _x421 ∧ x11 = _x422 ∧ x12 = _x423 ∧ x13 = _x424 ∧ x14 = _x425 ∧ x15 = _x426 ∧ x16 = _x427 ∧ x17 = _x428 ∧ x18 = _x429 ∧ x19 = _x430 ∧ x20 = _x431 ∧ x21 = _x432 ∧ x22 = _x433 ∧ x23 = _x434 ∧ x24 = _x435 ∧ x25 = _x436 ∧ x26 = _x437 ∧ x27 = _x438 ∧ x28 = _x439 ∧ x29 = _x440 ∧ x30 = _x441 ∧ x31 = _x442 ∧ x32 = _x443 ∧ x33 = _x444 ∧ x34 = _x445 ∧ x35 = _x446 ∧ x36 = _x447 ∧ x37 = _x448 ∧ x38 = _x449 ∧ x39 = _x450 ∧ x40 = _x451 ∧ x41 = _x452 ∧ x1 = _x453 ∧ x2 = _x454 ∧ x3 = _x455 ∧ x4 = _x456 ∧ x5 = _x457 ∧ x6 = _x458 ∧ x7 = _x459 ∧ x8 = _x460 ∧ x9 = _x461 ∧ x10 = _x462 ∧ x11 = _x463 ∧ x12 = _x464 ∧ x13 = _x465 ∧ x14 = _x466 ∧ x15 = _x467 ∧ x16 = _x468 ∧ x17 = _x469 ∧ x18 = _x470 ∧ x19 = _x471 ∧ x20 = _x472 ∧ x21 = _x473 ∧ x22 = _x474 ∧ x23 = _x475 ∧ x24 = _x476 ∧ x25 = _x477 ∧ x26 = _x478 ∧ x27 = _x479 ∧ x28 = _x480 ∧ x29 = _x481 ∧ x30 = _x482 ∧ x31 = _x483 ∧ x32 = _x484 ∧ x33 = _x485 ∧ x34 = _x486 ∧ x35 = _x487 ∧ x36 = _x488 ∧ x37 = _x489 ∧ x38 = _x490 ∧ x39 = _x491 ∧ x40 = _x492 ∧ x41 = _x493 ∧ _x494 = _x427 ∧ _x495 = _x428 ∧ 0 ≤ _x494 − _x495 ∧ _x480 = _x480 ∧ _x481 = _x481 ∧ _x442 ≤ 0 ∧ 0 ≤ _x442 ∧ _x486 = _x448 ∧ 0 ≤ _x424 ∧ _x463 = 1 ∧ _x464 = −1 + _x424 ∧ _x476 = _x463 ∧ _x466 = _x464 ∧ _x412 = _x453 ∧ _x413 = _x454 ∧ _x414 = _x455 ∧ _x415 = _x456 ∧ _x416 = _x457 ∧ _x417 = _x458 ∧ _x418 = _x459 ∧ _x419 = _x460 ∧ _x420 = _x461 ∧ _x421 = _x462 ∧ _x424 = _x465 ∧ _x426 = _x467 ∧ _x427 = _x468 ∧ _x428 = _x469 ∧ _x429 = _x470 ∧ _x430 = _x471 ∧ _x431 = _x472 ∧ _x432 = _x473 ∧ _x433 = _x474 ∧ _x434 = _x475 ∧ _x436 = _x477 ∧ _x437 = _x478 ∧ _x438 = _x479 ∧ _x441 = _x482 ∧ _x442 = _x483 ∧ _x443 = _x484 ∧ _x444 = _x485 ∧ _x446 = _x487 ∧ _x447 = _x488 ∧ _x448 = _x489 ∧ _x449 = _x490 ∧ _x450 = _x491 ∧ _x451 = _x492 ∧ _x452 = _x493 l8 8 l9: x1 = _x496 ∧ x2 = _x497 ∧ x3 = _x498 ∧ x4 = _x499 ∧ x5 = _x500 ∧ x6 = _x501 ∧ x7 = _x502 ∧ x8 = _x503 ∧ x9 = _x504 ∧ x10 = _x505 ∧ x11 = _x506 ∧ x12 = _x507 ∧ x13 = _x508 ∧ x14 = _x509 ∧ x15 = _x510 ∧ x16 = _x511 ∧ x17 = _x512 ∧ x18 = _x513 ∧ x19 = _x514 ∧ x20 = _x515 ∧ x21 = _x516 ∧ x22 = _x517 ∧ x23 = _x518 ∧ x24 = _x519 ∧ x25 = _x520 ∧ x26 = _x521 ∧ x27 = _x522 ∧ x28 = _x523 ∧ x29 = _x524 ∧ x30 = _x525 ∧ x31 = _x526 ∧ x32 = _x527 ∧ x33 = _x528 ∧ x34 = _x529 ∧ x35 = _x530 ∧ x36 = _x531 ∧ x37 = _x532 ∧ x38 = _x533 ∧ x39 = _x534 ∧ x40 = _x535 ∧ x41 = _x536 ∧ x1 = _x537 ∧ x2 = _x538 ∧ x3 = _x539 ∧ x4 = _x540 ∧ x5 = _x541 ∧ x6 = _x542 ∧ x7 = _x543 ∧ x8 = _x544 ∧ x9 = _x545 ∧ x10 = _x546 ∧ x11 = _x547 ∧ x12 = _x548 ∧ x13 = _x549 ∧ x14 = _x550 ∧ x15 = _x551 ∧ x16 = _x552 ∧ x17 = _x553 ∧ x18 = _x554 ∧ x19 = _x555 ∧ x20 = _x556 ∧ x21 = _x557 ∧ x22 = _x558 ∧ x23 = _x559 ∧ x24 = _x560 ∧ x25 = _x561 ∧ x26 = _x562 ∧ x27 = _x563 ∧ x28 = _x564 ∧ x29 = _x565 ∧ x30 = _x566 ∧ x31 = _x567 ∧ x32 = _x568 ∧ x33 = _x569 ∧ x34 = _x570 ∧ x35 = _x571 ∧ x36 = _x572 ∧ x37 = _x573 ∧ x38 = _x574 ∧ x39 = _x575 ∧ x40 = _x576 ∧ x41 = _x577 ∧ _x536 = _x577 ∧ _x535 = _x576 ∧ _x534 = _x575 ∧ _x533 = _x574 ∧ _x532 = _x573 ∧ _x531 = _x572 ∧ _x530 = _x571 ∧ _x529 = _x570 ∧ _x528 = _x569 ∧ _x527 = _x568 ∧ _x526 = _x567 ∧ _x525 = _x566 ∧ _x524 = _x565 ∧ _x523 = _x564 ∧ _x522 = _x563 ∧ _x521 = _x562 ∧ _x520 = _x561 ∧ _x519 = _x560 ∧ _x518 = _x559 ∧ _x517 = _x558 ∧ _x516 = _x557 ∧ _x515 = _x556 ∧ _x514 = _x555 ∧ _x513 = _x554 ∧ _x512 = _x553 ∧ _x511 = _x552 ∧ _x510 = _x551 ∧ _x509 = _x550 ∧ _x508 = _x549 ∧ _x507 = _x548 ∧ _x506 = _x547 ∧ _x505 = _x546 ∧ _x504 = _x545 ∧ _x503 = _x544 ∧ _x502 = _x543 ∧ _x501 = _x542 ∧ _x500 = _x541 ∧ _x499 = _x540 ∧ _x498 = _x539 ∧ _x497 = _x538 ∧ _x496 = _x537 ∧ _x543 = _x502 l9 9 l1: x1 = _x578 ∧ x2 = _x579 ∧ x3 = _x580 ∧ x4 = _x581 ∧ x5 = _x582 ∧ x6 = _x583 ∧ x7 = _x584 ∧ x8 = _x585 ∧ x9 = _x586 ∧ x10 = _x587 ∧ x11 = _x588 ∧ x12 = _x589 ∧ x13 = _x590 ∧ x14 = _x591 ∧ x15 = _x592 ∧ x16 = _x593 ∧ x17 = _x594 ∧ x18 = _x595 ∧ x19 = _x596 ∧ x20 = _x597 ∧ x21 = _x598 ∧ x22 = _x599 ∧ x23 = _x600 ∧ x24 = _x601 ∧ x25 = _x602 ∧ x26 = _x603 ∧ x27 = _x604 ∧ x28 = _x605 ∧ x29 = _x606 ∧ x30 = _x607 ∧ x31 = _x608 ∧ x32 = _x609 ∧ x33 = _x610 ∧ x34 = _x611 ∧ x35 = _x612 ∧ x36 = _x613 ∧ x37 = _x614 ∧ x38 = _x615 ∧ x39 = _x616 ∧ x40 = _x617 ∧ x41 = _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 ∧ x15 = _x633 ∧ x16 = _x634 ∧ x17 = _x635 ∧ x18 = _x636 ∧ x19 = _x637 ∧ x20 = _x638 ∧ x21 = _x639 ∧ x22 = _x640 ∧ x23 = _x641 ∧ x24 = _x642 ∧ x25 = _x643 ∧ x26 = _x644 ∧ x27 = _x645 ∧ x28 = _x646 ∧ x29 = _x647 ∧ x30 = _x648 ∧ x31 = _x649 ∧ x32 = _x650 ∧ x33 = _x651 ∧ x34 = _x652 ∧ x35 = _x653 ∧ x36 = _x654 ∧ x37 = _x655 ∧ x38 = _x656 ∧ x39 = _x657 ∧ x40 = _x658 ∧ x41 = _x659 ∧ _x655 = _x592 ∧ _x660 = _x615 ∧ _x633 = _x660 ∧ _x648 = _x648 ∧ _x638 = _x611 ∧ _x649 = 0 ∧ _x578 = _x619 ∧ _x579 = _x620 ∧ _x580 = _x621 ∧ _x581 = _x622 ∧ _x582 = _x623 ∧ _x583 = _x624 ∧ _x584 = _x625 ∧ _x585 = _x626 ∧ _x586 = _x627 ∧ _x587 = _x628 ∧ _x588 = _x629 ∧ _x589 = _x630 ∧ _x590 = _x631 ∧ _x591 = _x632 ∧ _x593 = _x634 ∧ _x594 = _x635 ∧ _x595 = _x636 ∧ _x596 = _x637 ∧ _x598 = _x639 ∧ _x599 = _x640 ∧ _x600 = _x641 ∧ _x601 = _x642 ∧ _x602 = _x643 ∧ _x603 = _x644 ∧ _x604 = _x645 ∧ _x605 = _x646 ∧ _x606 = _x647 ∧ _x609 = _x650 ∧ _x610 = _x651 ∧ _x611 = _x652 ∧ _x612 = _x653 ∧ _x613 = _x654 ∧ _x615 = _x656 ∧ _x616 = _x657 ∧ _x617 = _x658 ∧ _x618 = _x659 l0 10 l10: 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 ∧ x15 = _x675 ∧ x16 = _x676 ∧ x17 = _x677 ∧ x18 = _x678 ∧ x19 = _x679 ∧ x20 = _x680 ∧ x21 = _x681 ∧ x22 = _x682 ∧ x23 = _x683 ∧ x24 = _x684 ∧ x25 = _x685 ∧ x26 = _x686 ∧ x27 = _x687 ∧ x28 = _x688 ∧ x29 = _x689 ∧ x30 = _x690 ∧ x31 = _x691 ∧ x32 = _x692 ∧ x33 = _x693 ∧ x34 = _x694 ∧ x35 = _x695 ∧ x36 = _x696 ∧ x37 = _x697 ∧ x38 = _x698 ∧ x39 = _x699 ∧ x40 = _x700 ∧ x41 = _x701 ∧ x1 = _x702 ∧ x2 = _x703 ∧ x3 = _x704 ∧ x4 = _x705 ∧ x5 = _x706 ∧ x6 = _x707 ∧ x7 = _x708 ∧ x8 = _x709 ∧ x9 = _x710 ∧ x10 = _x711 ∧ x11 = _x712 ∧ x12 = _x713 ∧ x13 = _x714 ∧ x14 = _x715 ∧ x15 = _x716 ∧ x16 = _x717 ∧ x17 = _x718 ∧ x18 = _x719 ∧ x19 = _x720 ∧ x20 = _x721 ∧ x21 = _x722 ∧ x22 = _x723 ∧ x23 = _x724 ∧ x24 = _x725 ∧ x25 = _x726 ∧ x26 = _x727 ∧ x27 = _x728 ∧ x28 = _x729 ∧ x29 = _x730 ∧ x30 = _x731 ∧ x31 = _x732 ∧ x32 = _x733 ∧ x33 = _x734 ∧ x34 = _x735 ∧ x35 = _x736 ∧ x36 = _x737 ∧ x37 = _x738 ∧ x38 = _x739 ∧ x39 = _x740 ∧ x40 = _x741 ∧ x41 = _x742 ∧ _x701 = _x742 ∧ _x700 = _x741 ∧ _x699 = _x740 ∧ _x698 = _x739 ∧ _x697 = _x738 ∧ _x696 = _x737 ∧ _x695 = _x736 ∧ _x694 = _x735 ∧ _x691 = _x732 ∧ _x690 = _x731 ∧ _x689 = _x730 ∧ _x688 = _x729 ∧ _x687 = _x728 ∧ _x686 = _x727 ∧ _x684 = _x725 ∧ _x683 = _x724 ∧ _x680 = _x721 ∧ _x679 = _x720 ∧ _x678 = _x719 ∧ _x677 = _x718 ∧ _x676 = _x717 ∧ _x675 = _x716 ∧ _x674 = _x715 ∧ _x673 = _x714 ∧ _x672 = _x713 ∧ _x671 = _x712 ∧ _x670 = _x711 ∧ _x669 = _x710 ∧ _x668 = _x709 ∧ _x667 = _x708 ∧ _x666 = _x707 ∧ _x665 = _x706 ∧ _x664 = _x705 ∧ _x663 = _x704 ∧ _x662 = _x703 ∧ _x661 = _x702 ∧ _x723 = 1 + _x682 ∧ _x722 = _x733 ∧ _x733 = _x734 ∧ _x734 = _x734 ∧ 0 ≤ −1 − _x682 + _x686 ∧ _x726 = 1 + _x685 ∧ 0 ≤ _x685 l10 11 l0: x1 = _x743 ∧ x2 = _x744 ∧ x3 = _x745 ∧ x4 = _x746 ∧ x5 = _x747 ∧ x6 = _x748 ∧ x7 = _x749 ∧ x8 = _x750 ∧ x9 = _x751 ∧ x10 = _x752 ∧ x11 = _x753 ∧ x12 = _x754 ∧ x13 = _x755 ∧ x14 = _x756 ∧ x15 = _x757 ∧ x16 = _x758 ∧ x17 = _x759 ∧ x18 = _x760 ∧ x19 = _x761 ∧ x20 = _x762 ∧ x21 = _x763 ∧ x22 = _x764 ∧ x23 = _x765 ∧ x24 = _x766 ∧ x25 = _x767 ∧ x26 = _x768 ∧ x27 = _x769 ∧ x28 = _x770 ∧ x29 = _x771 ∧ x30 = _x772 ∧ x31 = _x773 ∧ x32 = _x774 ∧ x33 = _x775 ∧ x34 = _x776 ∧ x35 = _x777 ∧ x36 = _x778 ∧ x37 = _x779 ∧ x38 = _x780 ∧ x39 = _x781 ∧ x40 = _x782 ∧ x41 = _x783 ∧ x1 = _x784 ∧ x2 = _x785 ∧ x3 = _x786 ∧ x4 = _x787 ∧ x5 = _x788 ∧ x6 = _x789 ∧ x7 = _x790 ∧ x8 = _x791 ∧ x9 = _x792 ∧ x10 = _x793 ∧ x11 = _x794 ∧ x12 = _x795 ∧ x13 = _x796 ∧ x14 = _x797 ∧ x15 = _x798 ∧ x16 = _x799 ∧ x17 = _x800 ∧ x18 = _x801 ∧ x19 = _x802 ∧ x20 = _x803 ∧ x21 = _x804 ∧ x22 = _x805 ∧ x23 = _x806 ∧ x24 = _x807 ∧ x25 = _x808 ∧ x26 = _x809 ∧ x27 = _x810 ∧ x28 = _x811 ∧ x29 = _x812 ∧ x30 = _x813 ∧ x31 = _x814 ∧ x32 = _x815 ∧ x33 = _x816 ∧ x34 = _x817 ∧ x35 = _x818 ∧ x36 = _x819 ∧ x37 = _x820 ∧ x38 = _x821 ∧ x39 = _x822 ∧ x40 = _x823 ∧ x41 = _x824 ∧ _x783 = _x824 ∧ _x782 = _x823 ∧ _x781 = _x822 ∧ _x780 = _x821 ∧ _x779 = _x820 ∧ _x778 = _x819 ∧ _x777 = _x818 ∧ _x776 = _x817 ∧ _x775 = _x816 ∧ _x774 = _x815 ∧ _x773 = _x814 ∧ _x772 = _x813 ∧ _x771 = _x812 ∧ _x770 = _x811 ∧ _x769 = _x810 ∧ _x768 = _x809 ∧ _x767 = _x808 ∧ _x766 = _x807 ∧ _x765 = _x806 ∧ _x764 = _x805 ∧ _x763 = _x804 ∧ _x762 = _x803 ∧ _x761 = _x802 ∧ _x760 = _x801 ∧ _x759 = _x800 ∧ _x758 = _x799 ∧ _x757 = _x798 ∧ _x756 = _x797 ∧ _x755 = _x796 ∧ _x754 = _x795 ∧ _x753 = _x794 ∧ _x752 = _x793 ∧ _x751 = _x792 ∧ _x750 = _x791 ∧ _x749 = _x790 ∧ _x748 = _x789 ∧ _x747 = _x788 ∧ _x746 = _x787 ∧ _x745 = _x786 ∧ _x744 = _x785 ∧ _x743 = _x784 l11 12 l0: x1 = _x825 ∧ x2 = _x826 ∧ x3 = _x827 ∧ x4 = _x828 ∧ x5 = _x829 ∧ x6 = _x830 ∧ x7 = _x831 ∧ x8 = _x832 ∧ x9 = _x833 ∧ x10 = _x834 ∧ x11 = _x835 ∧ x12 = _x836 ∧ x13 = _x837 ∧ x14 = _x838 ∧ x15 = _x839 ∧ x16 = _x840 ∧ x17 = _x841 ∧ x18 = _x842 ∧ x19 = _x843 ∧ x20 = _x844 ∧ x21 = _x845 ∧ x22 = _x846 ∧ x23 = _x847 ∧ x24 = _x848 ∧ x25 = _x849 ∧ x26 = _x850 ∧ x27 = _x851 ∧ x28 = _x852 ∧ x29 = _x853 ∧ x30 = _x854 ∧ x31 = _x855 ∧ x32 = _x856 ∧ x33 = _x857 ∧ x34 = _x858 ∧ x35 = _x859 ∧ x36 = _x860 ∧ x37 = _x861 ∧ x38 = _x862 ∧ x39 = _x863 ∧ x40 = _x864 ∧ x41 = _x865 ∧ x1 = _x866 ∧ x2 = _x867 ∧ x3 = _x868 ∧ x4 = _x869 ∧ x5 = _x870 ∧ x6 = _x871 ∧ x7 = _x872 ∧ x8 = _x873 ∧ x9 = _x874 ∧ x10 = _x875 ∧ x11 = _x876 ∧ x12 = _x877 ∧ x13 = _x878 ∧ x14 = _x879 ∧ x15 = _x880 ∧ x16 = _x881 ∧ x17 = _x882 ∧ x18 = _x883 ∧ x19 = _x884 ∧ x20 = _x885 ∧ x21 = _x886 ∧ x22 = _x887 ∧ x23 = _x888 ∧ x24 = _x889 ∧ x25 = _x890 ∧ x26 = _x891 ∧ x27 = _x892 ∧ x28 = _x893 ∧ x29 = _x894 ∧ x30 = _x895 ∧ x31 = _x896 ∧ x32 = _x897 ∧ x33 = _x898 ∧ x34 = _x899 ∧ x35 = _x900 ∧ x36 = _x901 ∧ x37 = _x902 ∧ x38 = _x903 ∧ x39 = _x904 ∧ x40 = _x905 ∧ x41 = _x906 ∧ _x907 = 0 ∧ _x891 = _x827 ∧ _x899 = _x859 ∧ _x908 = 0 ∧ _x909 = 0 ∧ _x890 = _x909 ∧ 0 ≤ −1 − _x909 + _x891 ∧ _x898 = _x898 ∧ _x897 = _x898 ∧ _x886 = _x897 ∧ _x887 = 1 + _x909 ∧ _x825 = _x866 ∧ _x826 = _x867 ∧ _x827 = _x868 ∧ _x828 = _x869 ∧ _x829 = _x870 ∧ _x830 = _x871 ∧ _x831 = _x872 ∧ _x832 = _x873 ∧ _x833 = _x874 ∧ _x834 = _x875 ∧ _x835 = _x876 ∧ _x836 = _x877 ∧ _x837 = _x878 ∧ _x838 = _x879 ∧ _x839 = _x880 ∧ _x840 = _x881 ∧ _x841 = _x882 ∧ _x842 = _x883 ∧ _x843 = _x884 ∧ _x844 = _x885 ∧ _x847 = _x888 ∧ _x848 = _x889 ∧ _x851 = _x892 ∧ _x852 = _x893 ∧ _x853 = _x894 ∧ _x854 = _x895 ∧ _x855 = _x896 ∧ _x859 = _x900 ∧ _x860 = _x901 ∧ _x861 = _x902 ∧ _x862 = _x903 ∧ _x863 = _x904 ∧ _x864 = _x905 ∧ _x865 = _x906 l1 13 l13: x1 = _x910 ∧ x2 = _x911 ∧ x3 = _x912 ∧ x4 = _x913 ∧ x5 = _x914 ∧ x6 = _x915 ∧ x7 = _x916 ∧ x8 = _x917 ∧ x9 = _x918 ∧ x10 = _x919 ∧ x11 = _x920 ∧ x12 = _x921 ∧ x13 = _x922 ∧ x14 = _x923 ∧ x15 = _x924 ∧ x16 = _x925 ∧ x17 = _x926 ∧ x18 = _x927 ∧ x19 = _x928 ∧ x20 = _x929 ∧ x21 = _x930 ∧ x22 = _x931 ∧ x23 = _x932 ∧ x24 = _x933 ∧ x25 = _x934 ∧ x26 = _x935 ∧ x27 = _x936 ∧ x28 = _x937 ∧ x29 = _x938 ∧ x30 = _x939 ∧ x31 = _x940 ∧ x32 = _x941 ∧ x33 = _x942 ∧ x34 = _x943 ∧ x35 = _x944 ∧ x36 = _x945 ∧ x37 = _x946 ∧ x38 = _x947 ∧ x39 = _x948 ∧ x40 = _x949 ∧ x41 = _x950 ∧ x1 = _x951 ∧ x2 = _x952 ∧ x3 = _x953 ∧ x4 = _x954 ∧ x5 = _x955 ∧ x6 = _x956 ∧ x7 = _x957 ∧ x8 = _x958 ∧ x9 = _x959 ∧ x10 = _x960 ∧ x11 = _x961 ∧ x12 = _x962 ∧ x13 = _x963 ∧ x14 = _x964 ∧ x15 = _x965 ∧ x16 = _x966 ∧ x17 = _x967 ∧ x18 = _x968 ∧ x19 = _x969 ∧ x20 = _x970 ∧ x21 = _x971 ∧ x22 = _x972 ∧ x23 = _x973 ∧ x24 = _x974 ∧ x25 = _x975 ∧ x26 = _x976 ∧ x27 = _x977 ∧ x28 = _x978 ∧ x29 = _x979 ∧ x30 = _x980 ∧ x31 = _x981 ∧ x32 = _x982 ∧ x33 = _x983 ∧ x34 = _x984 ∧ x35 = _x985 ∧ x36 = _x986 ∧ x37 = _x987 ∧ x38 = _x988 ∧ x39 = _x989 ∧ x40 = _x990 ∧ x41 = _x991 ∧ _x950 = _x991 ∧ _x949 = _x990 ∧ _x948 = _x989 ∧ _x947 = _x988 ∧ _x946 = _x987 ∧ _x945 = _x986 ∧ _x944 = _x985 ∧ _x943 = _x984 ∧ _x942 = _x983 ∧ _x941 = _x982 ∧ _x940 = _x981 ∧ _x939 = _x980 ∧ _x938 = _x979 ∧ _x937 = _x978 ∧ _x936 = _x977 ∧ _x935 = _x976 ∧ _x934 = _x975 ∧ _x933 = _x974 ∧ _x931 = _x972 ∧ _x930 = _x971 ∧ _x929 = _x970 ∧ _x927 = _x968 ∧ _x926 = _x967 ∧ _x925 = _x966 ∧ _x924 = _x965 ∧ _x923 = _x964 ∧ _x922 = _x963 ∧ _x921 = _x962 ∧ _x920 = _x961 ∧ _x919 = _x960 ∧ _x918 = _x959 ∧ _x917 = _x958 ∧ _x916 = _x957 ∧ _x915 = _x956 ∧ _x914 = _x955 ∧ _x913 = _x954 ∧ _x912 = _x953 ∧ _x911 = _x952 ∧ _x910 = _x951 ∧ _x973 = _x933 ∧ _x969 = _x969 ∧ 0 ≤ _x933 ∧ 0 ≤ _x923 l13 14 l14: x1 = _x992 ∧ x2 = _x993 ∧ x3 = _x994 ∧ x4 = _x995 ∧ x5 = _x996 ∧ x6 = _x997 ∧ x7 = _x998 ∧ x8 = _x999 ∧ x9 = _x1000 ∧ x10 = _x1001 ∧ x11 = _x1002 ∧ x12 = _x1003 ∧ x13 = _x1004 ∧ x14 = _x1005 ∧ x15 = _x1006 ∧ x16 = _x1007 ∧ x17 = _x1008 ∧ x18 = _x1009 ∧ x19 = _x1010 ∧ x20 = _x1011 ∧ x21 = _x1012 ∧ x22 = _x1013 ∧ x23 = _x1014 ∧ x24 = _x1015 ∧ x25 = _x1016 ∧ x26 = _x1017 ∧ x27 = _x1018 ∧ x28 = _x1019 ∧ x29 = _x1020 ∧ x30 = _x1021 ∧ x31 = _x1022 ∧ x32 = _x1023 ∧ x33 = _x1024 ∧ x34 = _x1025 ∧ x35 = _x1026 ∧ x36 = _x1027 ∧ x37 = _x1028 ∧ x38 = _x1029 ∧ x39 = _x1030 ∧ x40 = _x1031 ∧ x41 = _x1032 ∧ x1 = _x1033 ∧ x2 = _x1034 ∧ x3 = _x1035 ∧ x4 = _x1036 ∧ x5 = _x1037 ∧ x6 = _x1038 ∧ x7 = _x1039 ∧ x8 = _x1040 ∧ x9 = _x1041 ∧ x10 = _x1042 ∧ x11 = _x1043 ∧ x12 = _x1044 ∧ x13 = _x1045 ∧ x14 = _x1046 ∧ x15 = _x1047 ∧ x16 = _x1048 ∧ x17 = _x1049 ∧ x18 = _x1050 ∧ x19 = _x1051 ∧ x20 = _x1052 ∧ x21 = _x1053 ∧ x22 = _x1054 ∧ x23 = _x1055 ∧ x24 = _x1056 ∧ x25 = _x1057 ∧ x26 = _x1058 ∧ x27 = _x1059 ∧ x28 = _x1060 ∧ x29 = _x1061 ∧ x30 = _x1062 ∧ x31 = _x1063 ∧ x32 = _x1064 ∧ x33 = _x1065 ∧ x34 = _x1066 ∧ x35 = _x1067 ∧ x36 = _x1068 ∧ x37 = _x1069 ∧ x38 = _x1070 ∧ x39 = _x1071 ∧ x40 = _x1072 ∧ x41 = _x1073 ∧ _x1032 = _x1073 ∧ _x1031 = _x1072 ∧ _x1030 = _x1071 ∧ _x1029 = _x1070 ∧ _x1028 = _x1069 ∧ _x1027 = _x1068 ∧ _x1026 = _x1067 ∧ _x1025 = _x1066 ∧ _x1024 = _x1065 ∧ _x1023 = _x1064 ∧ _x1022 = _x1063 ∧ _x1021 = _x1062 ∧ _x1020 = _x1061 ∧ _x1019 = _x1060 ∧ _x1018 = _x1059 ∧ _x1017 = _x1058 ∧ _x1016 = _x1057 ∧ _x1015 = _x1056 ∧ _x1014 = _x1055 ∧ _x1013 = _x1054 ∧ _x1012 = _x1053 ∧ _x1011 = _x1052 ∧ _x1010 = _x1051 ∧ _x1009 = _x1050 ∧ _x1008 = _x1049 ∧ _x1007 = _x1048 ∧ _x1006 = _x1047 ∧ _x1005 = _x1046 ∧ _x1004 = _x1045 ∧ _x1003 = _x1044 ∧ _x1002 = _x1043 ∧ _x1001 = _x1042 ∧ _x1000 = _x1041 ∧ _x999 = _x1040 ∧ _x998 = _x1039 ∧ _x997 = _x1038 ∧ _x996 = _x1037 ∧ _x995 = _x1036 ∧ _x994 = _x1035 ∧ _x993 = _x1034 ∧ _x992 = _x1033 ∧ _x1040 = _x999 l14 15 l12: x1 = _x1074 ∧ x2 = _x1075 ∧ x3 = _x1076 ∧ x4 = _x1077 ∧ x5 = _x1078 ∧ x6 = _x1079 ∧ x7 = _x1080 ∧ x8 = _x1081 ∧ x9 = _x1082 ∧ x10 = _x1083 ∧ x11 = _x1084 ∧ x12 = _x1085 ∧ x13 = _x1086 ∧ x14 = _x1087 ∧ x15 = _x1088 ∧ x16 = _x1089 ∧ x17 = _x1090 ∧ x18 = _x1091 ∧ x19 = _x1092 ∧ x20 = _x1093 ∧ x21 = _x1094 ∧ x22 = _x1095 ∧ x23 = _x1096 ∧ x24 = _x1097 ∧ x25 = _x1098 ∧ x26 = _x1099 ∧ x27 = _x1100 ∧ x28 = _x1101 ∧ x29 = _x1102 ∧ x30 = _x1103 ∧ x31 = _x1104 ∧ x32 = _x1105 ∧ x33 = _x1106 ∧ x34 = _x1107 ∧ x35 = _x1108 ∧ x36 = _x1109 ∧ x37 = _x1110 ∧ x38 = _x1111 ∧ x39 = _x1112 ∧ x40 = _x1113 ∧ x41 = _x1114 ∧ x1 = _x1115 ∧ x2 = _x1116 ∧ x3 = _x1117 ∧ x4 = _x1118 ∧ x5 = _x1119 ∧ x6 = _x1120 ∧ x7 = _x1121 ∧ x8 = _x1122 ∧ x9 = _x1123 ∧ x10 = _x1124 ∧ x11 = _x1125 ∧ x12 = _x1126 ∧ x13 = _x1127 ∧ x14 = _x1128 ∧ x15 = _x1129 ∧ x16 = _x1130 ∧ x17 = _x1131 ∧ x18 = _x1132 ∧ x19 = _x1133 ∧ x20 = _x1134 ∧ x21 = _x1135 ∧ x22 = _x1136 ∧ x23 = _x1137 ∧ x24 = _x1138 ∧ x25 = _x1139 ∧ x26 = _x1140 ∧ x27 = _x1141 ∧ x28 = _x1142 ∧ x29 = _x1143 ∧ x30 = _x1144 ∧ x31 = _x1145 ∧ x32 = _x1146 ∧ x33 = _x1147 ∧ x34 = _x1148 ∧ x35 = _x1149 ∧ x36 = _x1150 ∧ x37 = _x1151 ∧ x38 = _x1152 ∧ x39 = _x1153 ∧ x40 = _x1154 ∧ x41 = _x1155 ∧ _x1156 = _x1091 ∧ _x1157 = _x1092 ∧ 0 ≤ _x1156 − _x1157 ∧ _x1142 = _x1142 ∧ _x1143 = _x1143 ∧ _x1104 ≤ 0 ∧ 0 ≤ _x1104 ∧ _x1148 = _x1110 ∧ _x1074 = _x1115 ∧ _x1075 = _x1116 ∧ _x1076 = _x1117 ∧ _x1077 = _x1118 ∧ _x1078 = _x1119 ∧ _x1079 = _x1120 ∧ _x1080 = _x1121 ∧ _x1081 = _x1122 ∧ _x1082 = _x1123 ∧ _x1083 = _x1124 ∧ _x1084 = _x1125 ∧ _x1085 = _x1126 ∧ _x1086 = _x1127 ∧ _x1087 = _x1128 ∧ _x1088 = _x1129 ∧ _x1089 = _x1130 ∧ _x1090 = _x1131 ∧ _x1091 = _x1132 ∧ _x1092 = _x1133 ∧ _x1093 = _x1134 ∧ _x1094 = _x1135 ∧ _x1095 = _x1136 ∧ _x1096 = _x1137 ∧ _x1097 = _x1138 ∧ _x1098 = _x1139 ∧ _x1099 = _x1140 ∧ _x1100 = _x1141 ∧ _x1103 = _x1144 ∧ _x1104 = _x1145 ∧ _x1105 = _x1146 ∧ _x1106 = _x1147 ∧ _x1108 = _x1149 ∧ _x1109 = _x1150 ∧ _x1110 = _x1151 ∧ _x1111 = _x1152 ∧ _x1112 = _x1153 ∧ _x1113 = _x1154 ∧ _x1114 = _x1155 l1 16 l16: x1 = _x1158 ∧ x2 = _x1159 ∧ x3 = _x1160 ∧ x4 = _x1161 ∧ x5 = _x1162 ∧ x6 = _x1163 ∧ x7 = _x1164 ∧ x8 = _x1165 ∧ x9 = _x1166 ∧ x10 = _x1167 ∧ x11 = _x1168 ∧ x12 = _x1169 ∧ x13 = _x1170 ∧ x14 = _x1171 ∧ x15 = _x1172 ∧ x16 = _x1173 ∧ x17 = _x1174 ∧ x18 = _x1175 ∧ x19 = _x1176 ∧ x20 = _x1177 ∧ x21 = _x1178 ∧ x22 = _x1179 ∧ x23 = _x1180 ∧ x24 = _x1181 ∧ x25 = _x1182 ∧ x26 = _x1183 ∧ x27 = _x1184 ∧ x28 = _x1185 ∧ x29 = _x1186 ∧ x30 = _x1187 ∧ x31 = _x1188 ∧ x32 = _x1189 ∧ x33 = _x1190 ∧ x34 = _x1191 ∧ x35 = _x1192 ∧ x36 = _x1193 ∧ x37 = _x1194 ∧ x38 = _x1195 ∧ x39 = _x1196 ∧ x40 = _x1197 ∧ x41 = _x1198 ∧ x1 = _x1199 ∧ x2 = _x1200 ∧ x3 = _x1201 ∧ x4 = _x1202 ∧ x5 = _x1203 ∧ x6 = _x1204 ∧ x7 = _x1205 ∧ x8 = _x1206 ∧ x9 = _x1207 ∧ x10 = _x1208 ∧ x11 = _x1209 ∧ x12 = _x1210 ∧ x13 = _x1211 ∧ x14 = _x1212 ∧ x15 = _x1213 ∧ x16 = _x1214 ∧ x17 = _x1215 ∧ x18 = _x1216 ∧ x19 = _x1217 ∧ x20 = _x1218 ∧ x21 = _x1219 ∧ x22 = _x1220 ∧ x23 = _x1221 ∧ x24 = _x1222 ∧ x25 = _x1223 ∧ x26 = _x1224 ∧ x27 = _x1225 ∧ x28 = _x1226 ∧ x29 = _x1227 ∧ x30 = _x1228 ∧ x31 = _x1229 ∧ x32 = _x1230 ∧ x33 = _x1231 ∧ x34 = _x1232 ∧ x35 = _x1233 ∧ x36 = _x1234 ∧ x37 = _x1235 ∧ x38 = _x1236 ∧ x39 = _x1237 ∧ x40 = _x1238 ∧ x41 = _x1239 ∧ _x1198 = _x1239 ∧ _x1197 = _x1238 ∧ _x1196 = _x1237 ∧ _x1195 = _x1236 ∧ _x1194 = _x1235 ∧ _x1193 = _x1234 ∧ _x1192 = _x1233 ∧ _x1191 = _x1232 ∧ _x1190 = _x1231 ∧ _x1189 = _x1230 ∧ _x1188 = _x1229 ∧ _x1187 = _x1228 ∧ _x1186 = _x1227 ∧ _x1185 = _x1226 ∧ _x1184 = _x1225 ∧ _x1183 = _x1224 ∧ _x1182 = _x1223 ∧ _x1181 = _x1222 ∧ _x1180 = _x1221 ∧ _x1179 = _x1220 ∧ _x1178 = _x1219 ∧ _x1177 = _x1218 ∧ _x1174 = _x1215 ∧ _x1173 = _x1214 ∧ _x1172 = _x1213 ∧ _x1171 = _x1212 ∧ _x1170 = _x1211 ∧ _x1169 = _x1210 ∧ _x1168 = _x1209 ∧ _x1167 = _x1208 ∧ _x1166 = _x1207 ∧ _x1165 = _x1206 ∧ _x1164 = _x1205 ∧ _x1163 = _x1204 ∧ _x1162 = _x1203 ∧ _x1161 = _x1202 ∧ _x1160 = _x1201 ∧ _x1159 = _x1200 ∧ _x1158 = _x1199 ∧ _x1217 = _x1217 ∧ _x1216 = _x1216 ∧ 0 ≤ _x1181 ∧ 0 ≤ _x1171 l16 17 l17: x1 = _x1240 ∧ x2 = _x1241 ∧ x3 = _x1242 ∧ x4 = _x1243 ∧ x5 = _x1244 ∧ x6 = _x1245 ∧ x7 = _x1246 ∧ x8 = _x1247 ∧ x9 = _x1248 ∧ x10 = _x1249 ∧ x11 = _x1250 ∧ x12 = _x1251 ∧ x13 = _x1252 ∧ x14 = _x1253 ∧ x15 = _x1254 ∧ x16 = _x1255 ∧ x17 = _x1256 ∧ x18 = _x1257 ∧ x19 = _x1258 ∧ x20 = _x1259 ∧ x21 = _x1260 ∧ x22 = _x1261 ∧ x23 = _x1262 ∧ x24 = _x1263 ∧ x25 = _x1264 ∧ x26 = _x1265 ∧ x27 = _x1266 ∧ x28 = _x1267 ∧ x29 = _x1268 ∧ x30 = _x1269 ∧ x31 = _x1270 ∧ x32 = _x1271 ∧ x33 = _x1272 ∧ x34 = _x1273 ∧ x35 = _x1274 ∧ x36 = _x1275 ∧ x37 = _x1276 ∧ x38 = _x1277 ∧ x39 = _x1278 ∧ x40 = _x1279 ∧ x41 = _x1280 ∧ x1 = _x1281 ∧ x2 = _x1282 ∧ x3 = _x1283 ∧ x4 = _x1284 ∧ x5 = _x1285 ∧ x6 = _x1286 ∧ x7 = _x1287 ∧ x8 = _x1288 ∧ x9 = _x1289 ∧ x10 = _x1290 ∧ x11 = _x1291 ∧ x12 = _x1292 ∧ x13 = _x1293 ∧ x14 = _x1294 ∧ x15 = _x1295 ∧ x16 = _x1296 ∧ x17 = _x1297 ∧ x18 = _x1298 ∧ x19 = _x1299 ∧ x20 = _x1300 ∧ x21 = _x1301 ∧ x22 = _x1302 ∧ x23 = _x1303 ∧ x24 = _x1304 ∧ x25 = _x1305 ∧ x26 = _x1306 ∧ x27 = _x1307 ∧ x28 = _x1308 ∧ x29 = _x1309 ∧ x30 = _x1310 ∧ x31 = _x1311 ∧ x32 = _x1312 ∧ x33 = _x1313 ∧ x34 = _x1314 ∧ x35 = _x1315 ∧ x36 = _x1316 ∧ x37 = _x1317 ∧ x38 = _x1318 ∧ x39 = _x1319 ∧ x40 = _x1320 ∧ x41 = _x1321 ∧ _x1280 = _x1321 ∧ _x1279 = _x1320 ∧ _x1278 = _x1319 ∧ _x1277 = _x1318 ∧ _x1276 = _x1317 ∧ _x1275 = _x1316 ∧ _x1274 = _x1315 ∧ _x1273 = _x1314 ∧ _x1272 = _x1313 ∧ _x1271 = _x1312 ∧ _x1270 = _x1311 ∧ _x1269 = _x1310 ∧ _x1268 = _x1309 ∧ _x1267 = _x1308 ∧ _x1266 = _x1307 ∧ _x1265 = _x1306 ∧ _x1264 = _x1305 ∧ _x1263 = _x1304 ∧ _x1262 = _x1303 ∧ _x1261 = _x1302 ∧ _x1260 = _x1301 ∧ _x1259 = _x1300 ∧ _x1258 = _x1299 ∧ _x1257 = _x1298 ∧ _x1256 = _x1297 ∧ _x1255 = _x1296 ∧ _x1254 = _x1295 ∧ _x1253 = _x1294 ∧ _x1252 = _x1293 ∧ _x1251 = _x1292 ∧ _x1250 = _x1291 ∧ _x1249 = _x1290 ∧ _x1248 = _x1289 ∧ _x1247 = _x1288 ∧ _x1246 = _x1287 ∧ _x1245 = _x1286 ∧ _x1244 = _x1285 ∧ _x1243 = _x1284 ∧ _x1242 = _x1283 ∧ _x1241 = _x1282 ∧ _x1240 = _x1281 ∧ _x1289 = _x1248 l17 18 l15: x1 = _x1322 ∧ x2 = _x1323 ∧ x3 = _x1324 ∧ x4 = _x1325 ∧ x5 = _x1326 ∧ x6 = _x1327 ∧ x7 = _x1328 ∧ x8 = _x1329 ∧ x9 = _x1330 ∧ x10 = _x1331 ∧ x11 = _x1332 ∧ x12 = _x1333 ∧ x13 = _x1334 ∧ x14 = _x1335 ∧ x15 = _x1336 ∧ x16 = _x1337 ∧ x17 = _x1338 ∧ x18 = _x1339 ∧ x19 = _x1340 ∧ x20 = _x1341 ∧ x21 = _x1342 ∧ x22 = _x1343 ∧ x23 = _x1344 ∧ x24 = _x1345 ∧ x25 = _x1346 ∧ x26 = _x1347 ∧ x27 = _x1348 ∧ x28 = _x1349 ∧ x29 = _x1350 ∧ x30 = _x1351 ∧ x31 = _x1352 ∧ x32 = _x1353 ∧ x33 = _x1354 ∧ x34 = _x1355 ∧ x35 = _x1356 ∧ x36 = _x1357 ∧ x37 = _x1358 ∧ x38 = _x1359 ∧ x39 = _x1360 ∧ x40 = _x1361 ∧ x41 = _x1362 ∧ x1 = _x1363 ∧ x2 = _x1364 ∧ x3 = _x1365 ∧ x4 = _x1366 ∧ x5 = _x1367 ∧ x6 = _x1368 ∧ x7 = _x1369 ∧ x8 = _x1370 ∧ x9 = _x1371 ∧ x10 = _x1372 ∧ x11 = _x1373 ∧ x12 = _x1374 ∧ x13 = _x1375 ∧ x14 = _x1376 ∧ x15 = _x1377 ∧ x16 = _x1378 ∧ x17 = _x1379 ∧ x18 = _x1380 ∧ x19 = _x1381 ∧ x20 = _x1382 ∧ x21 = _x1383 ∧ x22 = _x1384 ∧ x23 = _x1385 ∧ x24 = _x1386 ∧ x25 = _x1387 ∧ x26 = _x1388 ∧ x27 = _x1389 ∧ x28 = _x1390 ∧ x29 = _x1391 ∧ x30 = _x1392 ∧ x31 = _x1393 ∧ x32 = _x1394 ∧ x33 = _x1395 ∧ x34 = _x1396 ∧ x35 = _x1397 ∧ x36 = _x1398 ∧ x37 = _x1399 ∧ x38 = _x1400 ∧ x39 = _x1401 ∧ x40 = _x1402 ∧ x41 = _x1403 ∧ _x1404 = _x1339 ∧ _x1405 = _x1340 ∧ 1 + _x1404 − _x1405 ≤ 0 ∧ _x1390 = _x1390 ∧ _x1391 = _x1391 ∧ _x1393 = _x1341 ∧ _x1406 = _x1360 ∧ _x1382 = _x1406 ∧ _x1389 = _x1389 ∧ 0 ≤ _x1335 ∧ 0 ≤ −1 + _x1345 ∧ _x1322 = _x1363 ∧ _x1323 = _x1364 ∧ _x1324 = _x1365 ∧ _x1325 = _x1366 ∧ _x1326 = _x1367 ∧ _x1327 = _x1368 ∧ _x1328 = _x1369 ∧ _x1329 = _x1370 ∧ _x1330 = _x1371 ∧ _x1331 = _x1372 ∧ _x1332 = _x1373 ∧ _x1333 = _x1374 ∧ _x1334 = _x1375 ∧ _x1335 = _x1376 ∧ _x1336 = _x1377 ∧ _x1337 = _x1378 ∧ _x1338 = _x1379 ∧ _x1339 = _x1380 ∧ _x1340 = _x1381 ∧ _x1342 = _x1383 ∧ _x1343 = _x1384 ∧ _x1344 = _x1385 ∧ _x1345 = _x1386 ∧ _x1346 = _x1387 ∧ _x1347 = _x1388 ∧ _x1351 = _x1392 ∧ _x1353 = _x1394 ∧ _x1354 = _x1395 ∧ _x1355 = _x1396 ∧ _x1356 = _x1397 ∧ _x1357 = _x1398 ∧ _x1358 = _x1399 ∧ _x1359 = _x1400 ∧ _x1360 = _x1401 ∧ _x1361 = _x1402 ∧ _x1362 = _x1403 l12 19 l18: x1 = _x1407 ∧ x2 = _x1408 ∧ x3 = _x1409 ∧ x4 = _x1410 ∧ x5 = _x1411 ∧ x6 = _x1412 ∧ x7 = _x1413 ∧ x8 = _x1414 ∧ x9 = _x1415 ∧ x10 = _x1416 ∧ x11 = _x1417 ∧ x12 = _x1418 ∧ x13 = _x1419 ∧ x14 = _x1420 ∧ x15 = _x1421 ∧ x16 = _x1422 ∧ x17 = _x1423 ∧ x18 = _x1424 ∧ x19 = _x1425 ∧ x20 = _x1426 ∧ x21 = _x1427 ∧ x22 = _x1428 ∧ x23 = _x1429 ∧ x24 = _x1430 ∧ x25 = _x1431 ∧ x26 = _x1432 ∧ x27 = _x1433 ∧ x28 = _x1434 ∧ x29 = _x1435 ∧ x30 = _x1436 ∧ x31 = _x1437 ∧ x32 = _x1438 ∧ x33 = _x1439 ∧ x34 = _x1440 ∧ x35 = _x1441 ∧ x36 = _x1442 ∧ x37 = _x1443 ∧ x38 = _x1444 ∧ x39 = _x1445 ∧ x40 = _x1446 ∧ x41 = _x1447 ∧ x1 = _x1448 ∧ x2 = _x1449 ∧ x3 = _x1450 ∧ x4 = _x1451 ∧ x5 = _x1452 ∧ x6 = _x1453 ∧ x7 = _x1454 ∧ x8 = _x1455 ∧ x9 = _x1456 ∧ x10 = _x1457 ∧ x11 = _x1458 ∧ x12 = _x1459 ∧ x13 = _x1460 ∧ x14 = _x1461 ∧ x15 = _x1462 ∧ x16 = _x1463 ∧ x17 = _x1464 ∧ x18 = _x1465 ∧ x19 = _x1466 ∧ x20 = _x1467 ∧ x21 = _x1468 ∧ x22 = _x1469 ∧ x23 = _x1470 ∧ x24 = _x1471 ∧ x25 = _x1472 ∧ x26 = _x1473 ∧ x27 = _x1474 ∧ x28 = _x1475 ∧ x29 = _x1476 ∧ x30 = _x1477 ∧ x31 = _x1478 ∧ x32 = _x1479 ∧ x33 = _x1480 ∧ x34 = _x1481 ∧ x35 = _x1482 ∧ x36 = _x1483 ∧ x37 = _x1484 ∧ x38 = _x1485 ∧ x39 = _x1486 ∧ x40 = _x1487 ∧ x41 = _x1488 ∧ _x1447 = _x1488 ∧ _x1446 = _x1487 ∧ _x1445 = _x1486 ∧ _x1444 = _x1485 ∧ _x1443 = _x1484 ∧ _x1442 = _x1483 ∧ _x1441 = _x1482 ∧ _x1440 = _x1481 ∧ _x1439 = _x1480 ∧ _x1438 = _x1479 ∧ _x1437 = _x1478 ∧ _x1436 = _x1477 ∧ _x1435 = _x1476 ∧ _x1434 = _x1475 ∧ _x1433 = _x1474 ∧ _x1432 = _x1473 ∧ _x1431 = _x1472 ∧ _x1430 = _x1471 ∧ _x1429 = _x1470 ∧ _x1428 = _x1469 ∧ _x1427 = _x1468 ∧ _x1426 = _x1467 ∧ _x1425 = _x1466 ∧ _x1424 = _x1465 ∧ _x1423 = _x1464 ∧ _x1422 = _x1463 ∧ _x1421 = _x1462 ∧ _x1420 = _x1461 ∧ _x1419 = _x1460 ∧ _x1418 = _x1459 ∧ _x1417 = _x1458 ∧ _x1416 = _x1457 ∧ _x1415 = _x1456 ∧ _x1414 = _x1455 ∧ _x1413 = _x1454 ∧ _x1412 = _x1453 ∧ _x1411 = _x1452 ∧ _x1410 = _x1451 ∧ _x1409 = _x1450 ∧ _x1408 = _x1449 ∧ _x1448 = _x1448 ∧ 0 ≤ _x1421 ∧ _x1421 ≤ 0 ∧ 0 ≤ _x1429 ∧ 0 ≤ _x1420 l12 20 l19: x1 = _x1489 ∧ x2 = _x1490 ∧ x3 = _x1491 ∧ x4 = _x1492 ∧ x5 = _x1493 ∧ x6 = _x1494 ∧ x7 = _x1495 ∧ x8 = _x1496 ∧ x9 = _x1497 ∧ x10 = _x1498 ∧ x11 = _x1499 ∧ x12 = _x1500 ∧ x13 = _x1501 ∧ x14 = _x1502 ∧ x15 = _x1503 ∧ x16 = _x1504 ∧ x17 = _x1505 ∧ x18 = _x1506 ∧ x19 = _x1507 ∧ x20 = _x1508 ∧ x21 = _x1509 ∧ x22 = _x1510 ∧ x23 = _x1511 ∧ x24 = _x1512 ∧ x25 = _x1513 ∧ x26 = _x1514 ∧ x27 = _x1515 ∧ x28 = _x1516 ∧ x29 = _x1517 ∧ x30 = _x1518 ∧ x31 = _x1519 ∧ x32 = _x1520 ∧ x33 = _x1521 ∧ x34 = _x1522 ∧ x35 = _x1523 ∧ x36 = _x1524 ∧ x37 = _x1525 ∧ x38 = _x1526 ∧ x39 = _x1527 ∧ x40 = _x1528 ∧ x41 = _x1529 ∧ x1 = _x1530 ∧ x2 = _x1531 ∧ x3 = _x1532 ∧ x4 = _x1533 ∧ x5 = _x1534 ∧ x6 = _x1535 ∧ x7 = _x1536 ∧ x8 = _x1537 ∧ x9 = _x1538 ∧ x10 = _x1539 ∧ x11 = _x1540 ∧ x12 = _x1541 ∧ x13 = _x1542 ∧ x14 = _x1543 ∧ x15 = _x1544 ∧ x16 = _x1545 ∧ x17 = _x1546 ∧ x18 = _x1547 ∧ x19 = _x1548 ∧ x20 = _x1549 ∧ x21 = _x1550 ∧ x22 = _x1551 ∧ x23 = _x1552 ∧ x24 = _x1553 ∧ x25 = _x1554 ∧ x26 = _x1555 ∧ x27 = _x1556 ∧ x28 = _x1557 ∧ x29 = _x1558 ∧ x30 = _x1559 ∧ x31 = _x1560 ∧ x32 = _x1561 ∧ x33 = _x1562 ∧ x34 = _x1563 ∧ x35 = _x1564 ∧ x36 = _x1565 ∧ x37 = _x1566 ∧ x38 = _x1567 ∧ x39 = _x1568 ∧ x40 = _x1569 ∧ x41 = _x1570 ∧ _x1529 = _x1570 ∧ _x1528 = _x1569 ∧ _x1527 = _x1568 ∧ _x1526 = _x1567 ∧ _x1525 = _x1566 ∧ _x1524 = _x1565 ∧ _x1523 = _x1564 ∧ _x1522 = _x1563 ∧ _x1521 = _x1562 ∧ _x1520 = _x1561 ∧ _x1519 = _x1560 ∧ _x1518 = _x1559 ∧ _x1517 = _x1558 ∧ _x1516 = _x1557 ∧ _x1515 = _x1556 ∧ _x1514 = _x1555 ∧ _x1513 = _x1554 ∧ _x1511 = _x1552 ∧ _x1510 = _x1551 ∧ _x1509 = _x1550 ∧ _x1508 = _x1549 ∧ _x1507 = _x1548 ∧ _x1506 = _x1547 ∧ _x1505 = _x1546 ∧ _x1504 = _x1545 ∧ _x1503 = _x1544 ∧ _x1501 = _x1542 ∧ _x1498 = _x1539 ∧ _x1497 = _x1538 ∧ _x1496 = _x1537 ∧ _x1495 = _x1536 ∧ _x1494 = _x1535 ∧ _x1493 = _x1534 ∧ _x1492 = _x1533 ∧ _x1491 = _x1532 ∧ _x1490 = _x1531 ∧ _x1489 = _x1530 ∧ _x1543 = _x1541 ∧ _x1553 = _x1540 ∧ _x1541 = −1 + _x1502 ∧ _x1540 = 1 + _x1511 ∧ 0 ≤ _x1511 ∧ 0 ≤ _x1502 l19 21 l20: x1 = _x1571 ∧ x2 = _x1572 ∧ x3 = _x1573 ∧ x4 = _x1574 ∧ x5 = _x1575 ∧ x6 = _x1576 ∧ x7 = _x1577 ∧ x8 = _x1578 ∧ x9 = _x1579 ∧ x10 = _x1580 ∧ x11 = _x1581 ∧ x12 = _x1582 ∧ x13 = _x1583 ∧ x14 = _x1584 ∧ x15 = _x1585 ∧ x16 = _x1586 ∧ x17 = _x1587 ∧ x18 = _x1588 ∧ x19 = _x1589 ∧ x20 = _x1590 ∧ x21 = _x1591 ∧ x22 = _x1592 ∧ x23 = _x1593 ∧ x24 = _x1594 ∧ x25 = _x1595 ∧ x26 = _x1596 ∧ x27 = _x1597 ∧ x28 = _x1598 ∧ x29 = _x1599 ∧ x30 = _x1600 ∧ x31 = _x1601 ∧ x32 = _x1602 ∧ x33 = _x1603 ∧ x34 = _x1604 ∧ x35 = _x1605 ∧ x36 = _x1606 ∧ x37 = _x1607 ∧ x38 = _x1608 ∧ x39 = _x1609 ∧ x40 = _x1610 ∧ x41 = _x1611 ∧ x1 = _x1612 ∧ x2 = _x1613 ∧ x3 = _x1614 ∧ x4 = _x1615 ∧ x5 = _x1616 ∧ x6 = _x1617 ∧ x7 = _x1618 ∧ x8 = _x1619 ∧ x9 = _x1620 ∧ x10 = _x1621 ∧ x11 = _x1622 ∧ x12 = _x1623 ∧ x13 = _x1624 ∧ x14 = _x1625 ∧ x15 = _x1626 ∧ x16 = _x1627 ∧ x17 = _x1628 ∧ x18 = _x1629 ∧ x19 = _x1630 ∧ x20 = _x1631 ∧ x21 = _x1632 ∧ x22 = _x1633 ∧ x23 = _x1634 ∧ x24 = _x1635 ∧ x25 = _x1636 ∧ x26 = _x1637 ∧ x27 = _x1638 ∧ x28 = _x1639 ∧ x29 = _x1640 ∧ x30 = _x1641 ∧ x31 = _x1642 ∧ x32 = _x1643 ∧ x33 = _x1644 ∧ x34 = _x1645 ∧ x35 = _x1646 ∧ x36 = _x1647 ∧ x37 = _x1648 ∧ x38 = _x1649 ∧ x39 = _x1650 ∧ x40 = _x1651 ∧ x41 = _x1652 ∧ _x1611 = _x1652 ∧ _x1610 = _x1651 ∧ _x1609 = _x1650 ∧ _x1608 = _x1649 ∧ _x1607 = _x1648 ∧ _x1606 = _x1647 ∧ _x1605 = _x1646 ∧ _x1604 = _x1645 ∧ _x1603 = _x1644 ∧ _x1602 = _x1643 ∧ _x1601 = _x1642 ∧ _x1600 = _x1641 ∧ _x1599 = _x1640 ∧ _x1598 = _x1639 ∧ _x1597 = _x1638 ∧ _x1596 = _x1637 ∧ _x1595 = _x1636 ∧ _x1594 = _x1635 ∧ _x1593 = _x1634 ∧ _x1592 = _x1633 ∧ _x1591 = _x1632 ∧ _x1590 = _x1631 ∧ _x1589 = _x1630 ∧ _x1588 = _x1629 ∧ _x1587 = _x1628 ∧ _x1586 = _x1627 ∧ _x1585 = _x1626 ∧ _x1584 = _x1625 ∧ _x1583 = _x1624 ∧ _x1582 = _x1623 ∧ _x1581 = _x1622 ∧ _x1580 = _x1621 ∧ _x1579 = _x1620 ∧ _x1578 = _x1619 ∧ _x1577 = _x1618 ∧ _x1576 = _x1617 ∧ _x1575 = _x1616 ∧ _x1574 = _x1615 ∧ _x1573 = _x1614 ∧ _x1572 = _x1613 ∧ _x1571 = _x1612 ∧ _x1621 = _x1580 l20 22 l1: x1 = _x1653 ∧ x2 = _x1654 ∧ x3 = _x1655 ∧ x4 = _x1656 ∧ x5 = _x1657 ∧ x6 = _x1658 ∧ x7 = _x1659 ∧ x8 = _x1660 ∧ x9 = _x1661 ∧ x10 = _x1662 ∧ x11 = _x1663 ∧ x12 = _x1664 ∧ x13 = _x1665 ∧ x14 = _x1666 ∧ x15 = _x1667 ∧ x16 = _x1668 ∧ x17 = _x1669 ∧ x18 = _x1670 ∧ x19 = _x1671 ∧ x20 = _x1672 ∧ x21 = _x1673 ∧ x22 = _x1674 ∧ x23 = _x1675 ∧ x24 = _x1676 ∧ x25 = _x1677 ∧ x26 = _x1678 ∧ x27 = _x1679 ∧ x28 = _x1680 ∧ x29 = _x1681 ∧ x30 = _x1682 ∧ x31 = _x1683 ∧ x32 = _x1684 ∧ x33 = _x1685 ∧ x34 = _x1686 ∧ x35 = _x1687 ∧ x36 = _x1688 ∧ x37 = _x1689 ∧ x38 = _x1690 ∧ x39 = _x1691 ∧ x40 = _x1692 ∧ x41 = _x1693 ∧ x1 = _x1694 ∧ x2 = _x1695 ∧ x3 = _x1696 ∧ x4 = _x1697 ∧ x5 = _x1698 ∧ x6 = _x1699 ∧ x7 = _x1700 ∧ x8 = _x1701 ∧ x9 = _x1702 ∧ x10 = _x1703 ∧ x11 = _x1704 ∧ x12 = _x1705 ∧ x13 = _x1706 ∧ x14 = _x1707 ∧ x15 = _x1708 ∧ x16 = _x1709 ∧ x17 = _x1710 ∧ x18 = _x1711 ∧ x19 = _x1712 ∧ x20 = _x1713 ∧ x21 = _x1714 ∧ x22 = _x1715 ∧ x23 = _x1716 ∧ x24 = _x1717 ∧ x25 = _x1718 ∧ x26 = _x1719 ∧ x27 = _x1720 ∧ x28 = _x1721 ∧ x29 = _x1722 ∧ x30 = _x1723 ∧ x31 = _x1724 ∧ x32 = _x1725 ∧ x33 = _x1726 ∧ x34 = _x1727 ∧ x35 = _x1728 ∧ x36 = _x1729 ∧ x37 = _x1730 ∧ x38 = _x1731 ∧ x39 = _x1732 ∧ x40 = _x1733 ∧ x41 = _x1734 ∧ _x1730 = _x1667 ∧ _x1735 = _x1692 ∧ _x1708 = _x1735 ∧ _x1723 = _x1723 ∧ _x1713 = _x1686 ∧ _x1724 = 0 ∧ _x1653 = _x1694 ∧ _x1654 = _x1695 ∧ _x1655 = _x1696 ∧ _x1656 = _x1697 ∧ _x1657 = _x1698 ∧ _x1658 = _x1699 ∧ _x1659 = _x1700 ∧ _x1660 = _x1701 ∧ _x1661 = _x1702 ∧ _x1662 = _x1703 ∧ _x1663 = _x1704 ∧ _x1664 = _x1705 ∧ _x1665 = _x1706 ∧ _x1666 = _x1707 ∧ _x1668 = _x1709 ∧ _x1669 = _x1710 ∧ _x1670 = _x1711 ∧ _x1671 = _x1712 ∧ _x1673 = _x1714 ∧ _x1674 = _x1715 ∧ _x1675 = _x1716 ∧ _x1676 = _x1717 ∧ _x1677 = _x1718 ∧ _x1678 = _x1719 ∧ _x1679 = _x1720 ∧ _x1680 = _x1721 ∧ _x1681 = _x1722 ∧ _x1684 = _x1725 ∧ _x1685 = _x1726 ∧ _x1686 = _x1727 ∧ _x1687 = _x1728 ∧ _x1688 = _x1729 ∧ _x1690 = _x1731 ∧ _x1691 = _x1732 ∧ _x1692 = _x1733 ∧ _x1693 = _x1734 l21 23 l11: x1 = _x1736 ∧ x2 = _x1737 ∧ x3 = _x1738 ∧ x4 = _x1739 ∧ x5 = _x1740 ∧ x6 = _x1741 ∧ x7 = _x1742 ∧ x8 = _x1743 ∧ x9 = _x1744 ∧ x10 = _x1745 ∧ x11 = _x1746 ∧ x12 = _x1747 ∧ x13 = _x1748 ∧ x14 = _x1749 ∧ x15 = _x1750 ∧ x16 = _x1751 ∧ x17 = _x1752 ∧ x18 = _x1753 ∧ x19 = _x1754 ∧ x20 = _x1755 ∧ x21 = _x1756 ∧ x22 = _x1757 ∧ x23 = _x1758 ∧ x24 = _x1759 ∧ x25 = _x1760 ∧ x26 = _x1761 ∧ x27 = _x1762 ∧ x28 = _x1763 ∧ x29 = _x1764 ∧ x30 = _x1765 ∧ x31 = _x1766 ∧ x32 = _x1767 ∧ x33 = _x1768 ∧ x34 = _x1769 ∧ x35 = _x1770 ∧ x36 = _x1771 ∧ x37 = _x1772 ∧ x38 = _x1773 ∧ x39 = _x1774 ∧ x40 = _x1775 ∧ x41 = _x1776 ∧ x1 = _x1777 ∧ x2 = _x1778 ∧ x3 = _x1779 ∧ x4 = _x1780 ∧ x5 = _x1781 ∧ x6 = _x1782 ∧ x7 = _x1783 ∧ x8 = _x1784 ∧ x9 = _x1785 ∧ x10 = _x1786 ∧ x11 = _x1787 ∧ x12 = _x1788 ∧ x13 = _x1789 ∧ x14 = _x1790 ∧ x15 = _x1791 ∧ x16 = _x1792 ∧ x17 = _x1793 ∧ x18 = _x1794 ∧ x19 = _x1795 ∧ x20 = _x1796 ∧ x21 = _x1797 ∧ x22 = _x1798 ∧ x23 = _x1799 ∧ x24 = _x1800 ∧ x25 = _x1801 ∧ x26 = _x1802 ∧ x27 = _x1803 ∧ x28 = _x1804 ∧ x29 = _x1805 ∧ x30 = _x1806 ∧ x31 = _x1807 ∧ x32 = _x1808 ∧ x33 = _x1809 ∧ x34 = _x1810 ∧ x35 = _x1811 ∧ x36 = _x1812 ∧ x37 = _x1813 ∧ x38 = _x1814 ∧ x39 = _x1815 ∧ x40 = _x1816 ∧ x41 = _x1817 ∧ _x1776 = _x1817 ∧ _x1775 = _x1816 ∧ _x1774 = _x1815 ∧ _x1773 = _x1814 ∧ _x1772 = _x1813 ∧ _x1771 = _x1812 ∧ _x1770 = _x1811 ∧ _x1769 = _x1810 ∧ _x1768 = _x1809 ∧ _x1767 = _x1808 ∧ _x1766 = _x1807 ∧ _x1765 = _x1806 ∧ _x1764 = _x1805 ∧ _x1763 = _x1804 ∧ _x1762 = _x1803 ∧ _x1761 = _x1802 ∧ _x1760 = _x1801 ∧ _x1759 = _x1800 ∧ _x1758 = _x1799 ∧ _x1757 = _x1798 ∧ _x1756 = _x1797 ∧ _x1755 = _x1796 ∧ _x1754 = _x1795 ∧ _x1753 = _x1794 ∧ _x1752 = _x1793 ∧ _x1751 = _x1792 ∧ _x1750 = _x1791 ∧ _x1749 = _x1790 ∧ _x1748 = _x1789 ∧ _x1747 = _x1788 ∧ _x1746 = _x1787 ∧ _x1745 = _x1786 ∧ _x1744 = _x1785 ∧ _x1743 = _x1784 ∧ _x1742 = _x1783 ∧ _x1741 = _x1782 ∧ _x1740 = _x1781 ∧ _x1739 = _x1780 ∧ _x1738 = _x1779 ∧ _x1737 = _x1778 ∧ _x1736 = _x1777

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 ∧ x34 = x34 ∧ x35 = x35 ∧ x36 = x36 ∧ x37 = x37 ∧ x38 = x38 ∧ x39 = x39 ∧ x40 = x40 ∧ x41 = x41 l7 l7 l7: 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 ∧ x34 = x34 ∧ x35 = x35 ∧ x36 = x36 ∧ x37 = x37 ∧ x38 = x38 ∧ x39 = x39 ∧ x40 = x40 ∧ x41 = x41 l11 l11 l11: 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 ∧ x34 = x34 ∧ x35 = x35 ∧ x36 = x36 ∧ x37 = x37 ∧ x38 = x38 ∧ x39 = x39 ∧ x40 = x40 ∧ x41 = x41 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 ∧ x34 = x34 ∧ x35 = x35 ∧ x36 = x36 ∧ x37 = x37 ∧ x38 = x38 ∧ x39 = x39 ∧ x40 = x40 ∧ x41 = x41 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 ∧ x34 = x34 ∧ x35 = x35 ∧ x36 = x36 ∧ x37 = x37 ∧ x38 = x38 ∧ x39 = x39 ∧ x40 = x40 ∧ x41 = x41 l13 l13 l13: 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 ∧ x34 = x34 ∧ x35 = x35 ∧ x36 = x36 ∧ x37 = x37 ∧ x38 = x38 ∧ x39 = x39 ∧ x40 = x40 ∧ x41 = x41 l20 l20 l20: 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 ∧ x34 = x34 ∧ x35 = x35 ∧ x36 = x36 ∧ x37 = x37 ∧ x38 = x38 ∧ x39 = x39 ∧ x40 = x40 ∧ x41 = x41 l17 l17 l17: 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 ∧ x34 = x34 ∧ x35 = x35 ∧ x36 = x36 ∧ x37 = x37 ∧ x38 = x38 ∧ x39 = x39 ∧ x40 = x40 ∧ x41 = x41 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 ∧ x34 = x34 ∧ x35 = x35 ∧ x36 = x36 ∧ x37 = x37 ∧ x38 = x38 ∧ x39 = x39 ∧ x40 = x40 ∧ x41 = x41 l21 l21 l21: 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 ∧ x34 = x34 ∧ x35 = x35 ∧ x36 = x36 ∧ x37 = x37 ∧ x38 = x38 ∧ x39 = x39 ∧ x40 = x40 ∧ x41 = x41 l9 l9 l9: 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 ∧ x34 = x34 ∧ x35 = x35 ∧ x36 = x36 ∧ x37 = x37 ∧ x38 = x38 ∧ x39 = x39 ∧ x40 = x40 ∧ x41 = x41 l14 l14 l14: 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 ∧ x34 = x34 ∧ x35 = x35 ∧ x36 = x36 ∧ x37 = x37 ∧ x38 = x38 ∧ x39 = x39 ∧ x40 = x40 ∧ x41 = x41 l4 l4 l4: 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 ∧ x34 = x34 ∧ x35 = x35 ∧ x36 = x36 ∧ x37 = x37 ∧ x38 = x38 ∧ x39 = x39 ∧ x40 = x40 ∧ x41 = x41 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 ∧ x34 = x34 ∧ x35 = x35 ∧ x36 = x36 ∧ x37 = x37 ∧ x38 = x38 ∧ x39 = x39 ∧ x40 = x40 ∧ x41 = x41 l10 l10 l10: 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 ∧ x34 = x34 ∧ x35 = x35 ∧ x36 = x36 ∧ x37 = x37 ∧ x38 = x38 ∧ x39 = x39 ∧ x40 = x40 ∧ x41 = x41 l8 l8 l8: 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 ∧ x34 = x34 ∧ x35 = x35 ∧ x36 = x36 ∧ x37 = x37 ∧ x38 = x38 ∧ x39 = x39 ∧ x40 = x40 ∧ x41 = x41 l16 l16 l16: 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 ∧ x34 = x34 ∧ x35 = x35 ∧ x36 = x36 ∧ x37 = x37 ∧ x38 = x38 ∧ x39 = x39 ∧ x40 = x40 ∧ x41 = x41 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 ∧ x34 = x34 ∧ x35 = x35 ∧ x36 = x36 ∧ x37 = x37 ∧ x38 = x38 ∧ x39 = x39 ∧ x40 = x40 ∧ x41 = x41 l12 l12 l12: 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 ∧ x34 = x34 ∧ x35 = x35 ∧ x36 = x36 ∧ x37 = x37 ∧ x38 = x38 ∧ x39 = x39 ∧ x40 = x40 ∧ x41 = x41 l19 l19 l19: 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 ∧ x34 = x34 ∧ x35 = x35 ∧ x36 = x36 ∧ x37 = x37 ∧ x38 = x38 ∧ x39 = x39 ∧ x40 = x40 ∧ x41 = x41
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 { l10, l0 }.

2.1.1 Transition Removal

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

 l0: −2⋅x22 + 2⋅x26 l10: −2⋅x22 + 2⋅x26 + 1

2.1.2 Transition Removal

We remove transition 11 using the following ranking functions, which are bounded by 0.

 l10: 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, l13, l20, l19, l12, l14 }.

2.2.1 Transition Removal

We remove transitions 13, 20 using the following ranking functions, which are bounded by 0.

 l1: 1 + 3⋅x14 + x24 l13: 3⋅x14 + x23 l20: 1 + 3⋅x14 + x24 l19: 1 + 3⋅x14 + x24 l12: 3⋅x14 + x23 l14: 3⋅x14 + x23

2.2.2 Transition Removal

We remove transitions 22, 21, 15, 14 using the following ranking functions, which are bounded by 0.

 l20: 0 l1: −1 + 0⋅x31 l19: 1 l14: 0 l12: −1 + 0⋅x31 l13: 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)