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  :extrafuns ((x283 Real))
  :extrafuns ((x140 Real))
  :extrafuns ((x388 Real))
  :extrafuns ((x380 Real))
  :extrafuns ((x372 Real))
  :extrafuns ((x364 Real))
  :extrafuns ((x356 Real))
  :extrafuns ((x339 Real))
  :extrafuns ((x148 Real))
  :extrafuns ((x444 Real))
  :extrafuns ((x436 Real))
  :extrafuns ((x428 Real))
  :extrafuns ((x420 Real))
  :extrafuns ((x412 Real))
  :extrafuns ((x395 Real))
  :extrafuns ((x156 Real))
  :extrafuns ((x500 Real))
  :extrafuns ((x492 Real))
  :extrafuns ((x484 Real))
  :extrafuns ((x476 Real))
  :extrafuns ((x468 Real))
  :extrafuns ((x451 Real))
  :extrafuns ((x164 Real))
  :extrafuns ((x172 Real))
  :extrafuns ((x109 Real))
  :extrafuns ((x101 Real))
  :extrafuns ((x93 Real))
  :extrafuns ((x85 Real))
  :extrafuns ((x77 Real))
  :extrafuns ((x60 Real))
  :extrafuns ((x180 Real))
  :extrafuns ((x165 Real))
  :extrafuns ((x157 Real))
  :extrafuns ((x149 Real))
  :extrafuns ((x141 Real))
  :extrafuns ((x133 Real))
  :extrafuns ((x116 Real))
  :extrafuns ((x277 Real))
  :extrafuns ((x269 Real))
  :extrafuns ((x261 Real))
  :extrafuns ((x253 Real))
  :extrafuns ((x236 Real))
  :extrafuns ((x228 Real))
  :extrafuns ((x189 Real))
  :extrafuns ((x333 Real))
  :extrafuns ((x325 Real))
  :extrafuns ((x317 Real))
  :extrafuns ((x309 Real))
  :extrafuns ((x292 Real))
  :extrafuns ((x284 Real))
  :extrafuns ((x197 Real))
  :extrafuns ((x389 Real))
  :extrafuns ((x381 Real))
  :extrafuns ((x373 Real))
  :extrafuns ((x365 Real))
  :extrafuns ((x348 Real))
  :extrafuns ((x340 Real))
  :extrafuns ((x205 Real))
  :extrafuns ((x445 Real))
  :extrafuns ((x437 Real))
  :extrafuns ((x429 Real))
  :extrafuns ((x421 Real))
  :extrafuns ((x404 Real))
  :extrafuns ((x396 Real))
  :extrafuns ((x213 Real))
  :extrafuns ((x501 Real))
  :extrafuns ((x493 Real))
  :extrafuns ((x485 Real))
  :extrafuns ((x477 Real))
  :extrafuns ((x460 Real))
  :extrafuns ((x452 Real))
  :extrafuns ((x221 Real))
  :extrafuns ((x229 Real))
  :extrafuns ((x110 Real))
  :extrafuns ((x102 Real))
  :extrafuns ((x94 Real))
  :extrafuns ((x86 Real))
  :extrafuns ((x69 Real))
  :extrafuns ((x61 Real))
  :extrafuns ((x237 Real))
  :extrafuns ((x166 Real))
  :extrafuns ((x158 Real))
  :extrafuns ((x150 Real))
  :extrafuns ((x142 Real))
  :extrafuns ((x125 Real))
  :extrafuns ((x117 Real))
  :extrafuns ((x245 Real))
  :extrafuns ((x222 Real))
  :extrafuns ((x214 Real))
  :extrafuns ((x206 Real))
  :extrafuns ((x198 Real))
  :extrafuns ((x181 Real))
  :extrafuns ((x173 Real))
  :extrafuns ((x334 Real))
  :extrafuns ((x326 Real))
  :extrafuns ((x318 Real))
  :extrafuns ((x301 Real))
  :extrafuns ((x293 Real))
  :extrafuns ((x285 Real))
  :extrafuns ((x254 Real))
  :extrafuns ((x390 Real))
  :extrafuns ((x382 Real))
  :extrafuns ((x374 Real))
  :extrafuns ((x357 Real))
  :extrafuns ((x349 Real))
  :extrafuns ((x341 Real))
  :extrafuns ((x262 Real))
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  :extrafuns ((x438 Real))
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  :extrafuns ((x413 Real))
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  :extrafuns ((x397 Real))
  :extrafuns ((x270 Real))
  :extrafuns ((x502 Real))
  :extrafuns ((x494 Real))
  :extrafuns ((x486 Real))
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  :extrafuns ((x461 Real))
  :extrafuns ((x453 Real))
  :extrafuns ((x278 Real))
  :extrafuns ((x286 Real))
  :extrafuns ((x111 Real))
  :extrafuns ((x103 Real))
  :extrafuns ((x95 Real))
  :extrafuns ((x78 Real))
  :extrafuns ((x70 Real))
  :extrafuns ((x62 Real))
  :extrafuns ((x294 Real))
  :extrafuns ((x167 Real))
  :extrafuns ((x159 Real))
  :extrafuns ((x151 Real))
  :extrafuns ((x134 Real))
  :extrafuns ((x126 Real))
  :extrafuns ((x118 Real))
  :extrafuns ((x302 Real))
  :extrafuns ((x223 Real))
  :extrafuns ((x215 Real))
  :extrafuns ((x207 Real))
  :extrafuns ((x190 Real))
  :extrafuns ((x182 Real))
  :extrafuns ((x174 Real))
  :extrafuns ((x310 Real))
  :extrafuns ((x279 Real))
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  :extrafuns ((x263 Real))
  :extrafuns ((x246 Real))
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  :extrafuns ((x230 Real))
  :extrafuns ((x391 Real))
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  :extrafuns ((x398 Real))
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  :extrafuns ((x503 Real))
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  :extrafuns ((x454 Real))
  :extrafuns ((x335 Real))
  :extrafuns ((x343 Real))
  :extrafuns ((x112 Real))
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  :extrafuns ((x375 Real))
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  :extrafuns ((x328 Real))
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  :extrafuns ((x303 Real))
  :extrafuns ((x295 Real))
  :extrafuns ((x287 Real))
  :extrafuns ((x448 Real))
  :extrafuns ((x431 Real))
  :extrafuns ((x423 Real))
  :extrafuns ((x415 Real))
  :extrafuns ((x407 Real))
  :extrafuns ((x399 Real))
  :extrafuns ((x384 Real))
  :extrafuns ((x504 Real))
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  :extrafuns ((x455 Real))
  :extrafuns ((x392 Real))
  :extrafuns ((x400 Real))
  :extrafuns ((x113 Real))
  :extrafuns ((x96 Real))
  :extrafuns ((x88 Real))
  :extrafuns ((x80 Real))
  :extrafuns ((x72 Real))
  :extrafuns ((x64 Real))
  :extrafuns ((x408 Real))
  :extrafuns ((x169 Real))
  :extrafuns ((x152 Real))
  :extrafuns ((x144 Real))
  :extrafuns ((x136 Real))
  :extrafuns ((x128 Real))
  :extrafuns ((x120 Real))
  :extrafuns ((x416 Real))
  :extrafuns ((x225 Real))
  :extrafuns ((x208 Real))
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  :extrafuns ((x192 Real))
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  :extrafuns ((x424 Real))
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  :extrafuns ((x432 Real))
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  :extrafuns ((x320 Real))
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  :extrafuns ((x288 Real))
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  :extrafuns ((x393 Real))
  :extrafuns ((x376 Real))
  :extrafuns ((x368 Real))
  :extrafuns ((x360 Real))
  :extrafuns ((x352 Real))
  :extrafuns ((x344 Real))
  :extrafuns ((x496 Real))
  :extrafuns ((x488 Real))
  :extrafuns ((x480 Real))
  :extrafuns ((x472 Real))
  :extrafuns ((x464 Real))
  :extrafuns ((x456 Real))
  :extrafuns ((x449 Real))
  :extrafuns ((x457 Real))
  :extrafuns ((x105 Real))
  :extrafuns ((x97 Real))
  :extrafuns ((x89 Real))
  :extrafuns ((x81 Real))
  :extrafuns ((x73 Real))
  :extrafuns ((x65 Real))
  :extrafuns ((x465 Real))
  :extrafuns ((x161 Real))
  :extrafuns ((x153 Real))
  :extrafuns ((x145 Real))
  :extrafuns ((x137 Real))
  :extrafuns ((x129 Real))
  :extrafuns ((x121 Real))
  :extrafuns ((x473 Real))
  :extrafuns ((x217 Real))
  :extrafuns ((x209 Real))
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  :extrafuns ((x193 Real))
  :extrafuns ((x185 Real))
  :extrafuns ((x177 Real))
  :extrafuns ((x481 Real))
  :extrafuns ((x273 Real))
  :extrafuns ((x265 Real))
  :extrafuns ((x257 Real))
  :extrafuns ((x249 Real))
  :extrafuns ((x241 Real))
  :extrafuns ((x233 Real))
  :extrafuns ((x489 Real))
  :extrafuns ((x329 Real))
  :extrafuns ((x321 Real))
  :extrafuns ((x313 Real))
  :extrafuns ((x305 Real))
  :extrafuns ((x297 Real))
  :extrafuns ((x289 Real))
  :extrafuns ((x497 Real))
  :extrafuns ((x385 Real))
  :extrafuns ((x377 Real))
  :extrafuns ((x369 Real))
  :extrafuns ((x361 Real))
  :extrafuns ((x353 Real))
  :extrafuns ((x345 Real))
  :extrafuns ((x505 Real))
  :extrafuns ((x441 Real))
  :extrafuns ((x433 Real))
  :extrafuns ((x425 Real))
  :extrafuns ((x417 Real))
  :extrafuns ((x409 Real))
  :extrafuns ((x401 Real))
  :extrafuns ((x1 Real))
  :extrapreds ((x2))
  :extrapreds ((x3))
  :extrapreds ((x4))
  :extrapreds ((x5))
  :extrapreds ((x6))
  :extrapreds ((x7))
  :extrapreds ((x8))
  :extrapreds ((x9))
  :extrapreds ((x10))
  :extrapreds ((x11))
  :extrapreds ((x12))
  :extrapreds ((x13))
  :extrapreds ((x14))
  :extrapreds ((x15))
  :extrapreds ((x16))
  :extrapreds ((x17))
  :extrapreds ((x18))
  :extrapreds ((x19))
  :extrapreds ((x20))
  :extrapreds ((x21))
  :extrapreds ((x22))
  :extrapreds ((x23))
  :extrapreds ((x24))
  :extrapreds ((x25))
  :extrapreds ((x26))
  :extrapreds ((x27))
  :extrapreds ((x28))
  :extrapreds ((x29))
  :extrapreds ((x30))
  :extrapreds ((x31))
  :extrapreds ((x32))
  :extrapreds ((x33))
  :extrapreds ((x34))
  :extrapreds ((x35))
  :extrapreds ((x36))
  :extrapreds ((x37))
  :extrapreds ((x38))
  :extrapreds ((x39))
  :extrapreds ((x40))
  :extrapreds ((x41))
  :extrapreds ((x42))
  :extrapreds ((x43))
  :extrapreds ((x44))
  :extrapreds ((x45))
  :extrapreds ((x46))
  :extrapreds ((x47))
  :extrapreds ((x48))
  :extrapreds ((x49))
  :extrapreds ((x50))
  :extrapreds ((x51))
  :extrapreds ((x52))
  :extrapreds ((x53))
  :extrapreds ((x54))
  :extrapreds ((x55))
  :extrapreds ((x56))
  :extrapreds ((x57))
  :formula
(and
 (<=  (+ 0 (* 1 x1)) 30)
 (<=  (+ (+ (* 1 tmp531) 0) (+ (* 1 x505) (+ (* (~ 1) x441) (+ (* (~ 1) x433) (+ (* (~ 1) x425) (+ (* (~ 1) x417) (+ (* (~ 1) x409) (+ (* (~ 1) x401) 0)))))))) 0)
 (<=  (+ (+ (* 1 tmp530) 0) (+ (* 1 x497) (+ (* (~ 1) x385) (+ (* (~ 1) x377) (+ (* (~ 1) x369) (+ (* (~ 1) x361) (+ (* (~ 1) x353) (+ (* (~ 1) x345) 0)))))))) 0)
 (<=  (+ (+ (* 1 tmp529) 0) (+ (* 1 x489) (+ (* (~ 1) x329) (+ (* (~ 1) x321) (+ (* (~ 1) x313) (+ (* (~ 1) x305) (+ (* (~ 1) x297) (+ (* (~ 1) x289) 0)))))))) 0)
 (<=  (+ (+ (* 1 tmp528) 0) (+ (* 1 x481) (+ (* (~ 1) x273) (+ (* (~ 1) x265) (+ (* (~ 1) x257) (+ (* (~ 1) x249) (+ (* (~ 1) x241) (+ (* (~ 1) x233) 0)))))))) 0)
 (<=  (+ (+ (* 1 tmp527) 0) (+ (* 1 x473) (+ (* (~ 1) x217) (+ (* (~ 1) x209) (+ (* (~ 1) x201) (+ (* (~ 1) x193) (+ (* (~ 1) x185) (+ (* (~ 1) x177) 0)))))))) 0)
 (<=  (+ (+ (* 1 tmp526) 0) (+ (* 1 x465) (+ (* (~ 1) x161) (+ (* (~ 1) x153) (+ (* (~ 1) x145) (+ (* (~ 1) x137) (+ (* (~ 1) x129) (+ (* (~ 1) x121) 0)))))))) 0)
 (<=  (+ (+ (* 1 tmp525) 0) (+ (* 1 x457) (+ (* (~ 1) x105) (+ (* (~ 1) x97) (+ (* (~ 1) x89) (+ (* (~ 1) x81) (+ (* (~ 1) x73) (+ (* (~ 1) x65) 0)))))))) 0)
 (<=  (+ (+ (* 1 tmp524) 0) (+ (* (~ 1) x496) (+ (* (~ 1) x488) (+ (* (~ 1) x480) (+ (* (~ 1) x472) (+ (* (~ 1) x464) (+ (* (~ 1) x456) (+ (* 1 x449) 0)))))))) 0)
 (<=  (+ (+ (* 1 tmp523) 0) (+ (* 1 x440) (+ (* (~ 1) x393) (+ (* (~ 1) x376) (+ (* (~ 1) x368) (+ (* (~ 1) x360) (+ (* (~ 1) x352) (+ (* (~ 1) x344) 0)))))))) 0)
 (<=  (+ (+ (* 1 tmp522) 0) (+ (* 1 x432) (+ (* (~ 1) x337) (+ (* (~ 1) x320) (+ (* (~ 1) x312) (+ (* (~ 1) x304) (+ (* (~ 1) x296) (+ (* (~ 1) x288) 0)))))))) 0)
 (<=  (+ (+ (* 1 tmp521) 0) (+ (* 1 x424) (+ (* (~ 1) x281) (+ (* (~ 1) x264) (+ (* (~ 1) x256) (+ (* (~ 1) x248) (+ (* (~ 1) x240) (+ (* (~ 1) x232) 0)))))))) 0)
 (<=  (+ (+ (* 1 tmp520) 0) (+ (* 1 x416) (+ (* (~ 1) x225) (+ (* (~ 1) x208) (+ (* (~ 1) x200) (+ (* (~ 1) x192) (+ (* (~ 1) x184) (+ (* (~ 1) x176) 0)))))))) 0)
 (<=  (+ (+ (* 1 tmp519) 0) (+ (* 1 x408) (+ (* (~ 1) x169) (+ (* (~ 1) x152) (+ (* (~ 1) x144) (+ (* (~ 1) x136) (+ (* (~ 1) x128) (+ (* (~ 1) x120) 0)))))))) 0)
 (<=  (+ (+ (* 1 tmp518) 0) (+ (* 1 x400) (+ (* (~ 1) x113) (+ (* (~ 1) x96) (+ (* (~ 1) x88) (+ (* (~ 1) x80) (+ (* (~ 1) x72) (+ (* (~ 1) x64) 0)))))))) 0)
 (<=  (+ (+ (* 1 tmp517) 0) (+ (* (~ 1) x504) (+ (* (~ 1) x487) (+ (* (~ 1) x479) (+ (* (~ 1) x471) (+ (* (~ 1) x463) (+ (* (~ 1) x455) (+ (* 1 x392) 0)))))))) 0)
 (<=  (+ (+ (* 1 tmp516) 0) (+ (* (~ 1) x448) (+ (* (~ 1) x431) (+ (* (~ 1) x423) (+ (* (~ 1) x415) (+ (* (~ 1) x407) (+ (* (~ 1) x399) (+ (* 1 x384) 0)))))))) 0)
 (<=  (+ (+ (* 1 tmp515) 0) (+ (* 1 x375) (+ (* (~ 1) x336) (+ (* (~ 1) x328) (+ (* (~ 1) x311) (+ (* (~ 1) x303) (+ (* (~ 1) x295) (+ (* (~ 1) x287) 0)))))))) 0)
 (<=  (+ (+ (* 1 tmp514) 0) (+ (* 1 x367) (+ (* (~ 1) x280) (+ (* (~ 1) x272) (+ (* (~ 1) x255) (+ (* (~ 1) x247) (+ (* (~ 1) x239) (+ (* (~ 1) x231) 0)))))))) 0)
 (<=  (+ (+ (* 1 tmp513) 0) (+ (* 1 x359) (+ (* (~ 1) x224) (+ (* (~ 1) x216) (+ (* (~ 1) x199) (+ (* (~ 1) x191) (+ (* (~ 1) x183) (+ (* (~ 1) x175) 0)))))))) 0)
 (<=  (+ (+ (* 1 tmp512) 0) (+ (* 1 x351) (+ (* (~ 1) x168) (+ (* (~ 1) x160) (+ (* (~ 1) x143) (+ (* (~ 1) x135) (+ (* (~ 1) x127) (+ (* (~ 1) x119) 0)))))))) 0)
 (<=  (+ (+ (* 1 tmp511) 0) (+ (* 1 x343) (+ (* (~ 1) x112) (+ (* (~ 1) x104) (+ (* (~ 1) x87) (+ (* (~ 1) x79) (+ (* (~ 1) x71) (+ (* (~ 1) x63) 0)))))))) 0)
 (<=  (+ (+ (* 1 tmp510) 0) (+ (* (~ 1) x503) (+ (* (~ 1) x495) (+ (* (~ 1) x478) (+ (* (~ 1) x470) (+ (* (~ 1) x462) (+ (* (~ 1) x454) (+ (* 1 x335) 0)))))))) 0)
 (<=  (+ (+ (* 1 tmp509) 0) (+ (* (~ 1) x447) (+ (* (~ 1) x439) (+ (* (~ 1) x422) (+ (* (~ 1) x414) (+ (* (~ 1) x406) (+ (* (~ 1) x398) (+ (* 1 x327) 0)))))))) 0)
 (<=  (+ (+ (* 1 tmp508) 0) (+ (* (~ 1) x391) (+ (* (~ 1) x383) (+ (* (~ 1) x366) (+ (* (~ 1) x358) (+ (* (~ 1) x350) (+ (* (~ 1) x342) (+ (* 1 x319) 0)))))))) 0)
 (<=  (+ (+ (* 1 tmp507) 0) (+ (* 1 x310) (+ (* (~ 1) x279) (+ (* (~ 1) x271) (+ (* (~ 1) x263) (+ (* (~ 1) x246) (+ (* (~ 1) x238) (+ (* (~ 1) x230) 0)))))))) 0)
 (<=  (+ (+ (* 1 tmp506) 0) (+ (* 1 x302) (+ (* (~ 1) x223) (+ (* (~ 1) x215) (+ (* (~ 1) x207) (+ (* (~ 1) x190) (+ (* (~ 1) x182) (+ (* (~ 1) x174) 0)))))))) 0)
 (<=  (+ (+ (* 1 tmp505) 0) (+ (* 1 x294) (+ (* (~ 1) x167) (+ (* (~ 1) x159) (+ (* (~ 1) x151) (+ (* (~ 1) x134) (+ (* (~ 1) x126) (+ (* (~ 1) x118) 0)))))))) 0)
 (<=  (+ (+ (* 1 tmp504) 0) (+ (* 1 x286) (+ (* (~ 1) x111) (+ (* (~ 1) x103) (+ (* (~ 1) x95) (+ (* (~ 1) x78) (+ (* (~ 1) x70) (+ (* (~ 1) x62) 0)))))))) 0)
 (<=  (+ (+ (* 1 tmp503) 0) (+ (* (~ 1) x502) (+ (* (~ 1) x494) (+ (* (~ 1) x486) (+ (* (~ 1) x469) (+ (* (~ 1) x461) (+ (* (~ 1) x453) (+ (* 1 x278) 0)))))))) 0)
 (<=  (+ (+ (* 1 tmp502) 0) (+ (* (~ 1) x446) (+ (* (~ 1) x438) (+ (* (~ 1) x430) (+ (* (~ 1) x413) (+ (* (~ 1) x405) (+ (* (~ 1) x397) (+ (* 1 x270) 0)))))))) 0)
 (<=  (+ (+ (* 1 tmp501) 0) (+ (* (~ 1) x390) (+ (* (~ 1) x382) (+ (* (~ 1) x374) (+ (* (~ 1) x357) (+ (* (~ 1) x349) (+ (* (~ 1) x341) (+ (* 1 x262) 0)))))))) 0)
 (<=  (+ (+ (* 1 tmp500) 0) (+ (* (~ 1) x334) (+ (* (~ 1) x326) (+ (* (~ 1) x318) (+ (* (~ 1) x301) (+ (* (~ 1) x293) (+ (* (~ 1) x285) (+ (* 1 x254) 0)))))))) 0)
 (<=  (+ (+ (* 1 tmp499) 0) (+ (* 1 x245) (+ (* (~ 1) x222) (+ (* (~ 1) x214) (+ (* (~ 1) x206) (+ (* (~ 1) x198) (+ (* (~ 1) x181) (+ (* (~ 1) x173) 0)))))))) 0)
 (<=  (+ (+ (* 1 tmp498) 0) (+ (* 1 x237) (+ (* (~ 1) x166) (+ (* (~ 1) x158) (+ (* (~ 1) x150) (+ (* (~ 1) x142) (+ (* (~ 1) x125) (+ (* (~ 1) x117) 0)))))))) 0)
 (<=  (+ (+ (* 1 tmp497) 0) (+ (* 1 x229) (+ (* (~ 1) x110) (+ (* (~ 1) x102) (+ (* (~ 1) x94) (+ (* (~ 1) x86) (+ (* (~ 1) x69) (+ (* (~ 1) x61) 0)))))))) 0)
 (<=  (+ (+ (* 1 tmp496) 0) (+ (* (~ 1) x501) (+ (* (~ 1) x493) (+ (* (~ 1) x485) (+ (* (~ 1) x477) (+ (* (~ 1) x460) (+ (* (~ 1) x452) (+ (* 1 x221) 0)))))))) 0)
 (<=  (+ (+ (* 1 tmp495) 0) (+ (* (~ 1) x445) (+ (* (~ 1) x437) (+ (* (~ 1) x429) (+ (* (~ 1) x421) (+ (* (~ 1) x404) (+ (* (~ 1) x396) (+ (* 1 x213) 0)))))))) 0)
 (<=  (+ (+ (* 1 tmp494) 0) (+ (* (~ 1) x389) (+ (* (~ 1) x381) (+ (* (~ 1) x373) (+ (* (~ 1) x365) (+ (* (~ 1) x348) (+ (* (~ 1) x340) (+ (* 1 x205) 0)))))))) 0)
 (<=  (+ (+ (* 1 tmp493) 0) (+ (* (~ 1) x333) (+ (* (~ 1) x325) (+ (* (~ 1) x317) (+ (* (~ 1) x309) (+ (* (~ 1) x292) (+ (* (~ 1) x284) (+ (* 1 x197) 0)))))))) 0)
 (<=  (+ (+ (* 1 tmp492) 0) (+ (* (~ 1) x277) (+ (* (~ 1) x269) (+ (* (~ 1) x261) (+ (* (~ 1) x253) (+ (* (~ 1) x236) (+ (* (~ 1) x228) (+ (* 1 x189) 0)))))))) 0)
 (<=  (+ (+ (* 1 tmp491) 0) (+ (* 1 x180) (+ (* (~ 1) x165) (+ (* (~ 1) x157) (+ (* (~ 1) x149) (+ (* (~ 1) x141) (+ (* (~ 1) x133) (+ (* (~ 1) x116) 0)))))))) 0)
 (<=  (+ (+ (* 1 tmp490) 0) (+ (* 1 x172) (+ (* (~ 1) x109) (+ (* (~ 1) x101) (+ (* (~ 1) x93) (+ (* (~ 1) x85) (+ (* (~ 1) x77) (+ (* (~ 1) x60) 0)))))))) 0)
 (<=  (+ (+ (* 1 tmp489) 0) (+ (* (~ 1) x500) (+ (* (~ 1) x492) (+ (* (~ 1) x484) (+ (* (~ 1) x476) (+ (* (~ 1) x468) (+ (* (~ 1) x451) (+ (* 1 x164) 0)))))))) 0)
 (<=  (+ (+ (* 1 tmp488) 0) (+ (* (~ 1) x444) (+ (* (~ 1) x436) (+ (* (~ 1) x428) (+ (* (~ 1) x420) (+ (* (~ 1) x412) (+ (* (~ 1) x395) (+ (* 1 x156) 0)))))))) 0)
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 (= (+ (+ (+ (+ (+ (+ (+ (+ 0 (* 1 x354)) (* (~ 1) x355)) (* (~ 1) x356)) (* (~ 1) x357)) (* (~ 1) x358)) (* (~ 1) x359)) (* (~ 1) x360)) (* (~ 1) x361)) 0) 
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 (= (+ (+ (+ (+ (+ (+ (+ (+ 0 (* 1 x338)) (* (~ 1) x339)) (* (~ 1) x340)) (* (~ 1) x341)) (* (~ 1) x342)) (* (~ 1) x343)) (* (~ 1) x344)) (* (~ 1) x345)) 0) 
 (= (+ (+ (+ (+ (+ (+ (+ (+ 0 (* 1 x330)) (* (~ 1) x331)) (* (~ 1) x332)) (* (~ 1) x333)) (* (~ 1) x334)) (* (~ 1) x335)) (* (~ 1) x336)) (* (~ 1) x337)) 0) 
 (= (+ (+ (+ (+ (+ (+ (+ (+ 0 (* 1 x322)) (* (~ 1) x323)) (* (~ 1) x324)) (* (~ 1) x325)) (* (~ 1) x326)) (* (~ 1) x327)) (* (~ 1) x328)) (* (~ 1) x329)) 0) 
 (= (+ (+ (+ (+ (+ (+ (+ (+ 0 (* 1 x314)) (* (~ 1) x315)) (* (~ 1) x316)) (* (~ 1) x317)) (* (~ 1) x318)) (* (~ 1) x319)) (* (~ 1) x320)) (* (~ 1) x321)) 0) 
 (= (+ (+ (+ (+ (+ (+ (+ (+ 0 (* 1 x306)) (* (~ 1) x307)) (* (~ 1) x308)) (* (~ 1) x309)) (* (~ 1) x310)) (* (~ 1) x311)) (* (~ 1) x312)) (* (~ 1) x313)) 0) 
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 (= (+ (+ (+ (+ (+ (+ (+ (+ 0 (* 1 x282)) (* (~ 1) x283)) (* (~ 1) x284)) (* (~ 1) x285)) (* (~ 1) x286)) (* (~ 1) x287)) (* (~ 1) x288)) (* (~ 1) x289)) 0) 
 (= (+ (+ (+ (+ (+ (+ (+ (+ 0 (* 1 x274)) (* (~ 1) x275)) (* (~ 1) x276)) (* (~ 1) x277)) (* (~ 1) x278)) (* (~ 1) x279)) (* (~ 1) x280)) (* (~ 1) x281)) 0) 
 (= (+ (+ (+ (+ (+ (+ (+ (+ 0 (* 1 x266)) (* (~ 1) x267)) (* (~ 1) x268)) (* (~ 1) x269)) (* (~ 1) x270)) (* (~ 1) x271)) (* (~ 1) x272)) (* (~ 1) x273)) 0) 
 (= (+ (+ (+ (+ (+ (+ (+ (+ 0 (* 1 x258)) (* (~ 1) x259)) (* (~ 1) x260)) (* (~ 1) x261)) (* (~ 1) x262)) (* (~ 1) x263)) (* (~ 1) x264)) (* (~ 1) x265)) 0) 
 (= (+ (+ (+ (+ (+ (+ (+ (+ 0 (* 1 x250)) (* (~ 1) x251)) (* (~ 1) x252)) (* (~ 1) x253)) (* (~ 1) x254)) (* (~ 1) x255)) (* (~ 1) x256)) (* (~ 1) x257)) 0) 
 (= (+ (+ (+ (+ (+ (+ (+ (+ 0 (* 1 x242)) (* (~ 1) x243)) (* (~ 1) x244)) (* (~ 1) x245)) (* (~ 1) x246)) (* (~ 1) x247)) (* (~ 1) x248)) (* (~ 1) x249)) 0) 
 (= (+ (+ (+ (+ (+ (+ (+ (+ 0 (* 1 x234)) (* (~ 1) x235)) (* (~ 1) x236)) (* (~ 1) x237)) (* (~ 1) x238)) (* (~ 1) x239)) (* (~ 1) x240)) (* (~ 1) x241)) 0) 
 (= (+ (+ (+ (+ (+ (+ (+ (+ 0 (* 1 x226)) (* (~ 1) x227)) (* (~ 1) x228)) (* (~ 1) x229)) (* (~ 1) x230)) (* (~ 1) x231)) (* (~ 1) x232)) (* (~ 1) x233)) 0) 
 (= (+ (+ (+ (+ (+ (+ (+ (+ 0 (* 1 x218)) (* (~ 1) x219)) (* (~ 1) x220)) (* (~ 1) x221)) (* (~ 1) x222)) (* (~ 1) x223)) (* (~ 1) x224)) (* (~ 1) x225)) 0) 
 (= (+ (+ (+ (+ (+ (+ (+ (+ 0 (* 1 x210)) (* (~ 1) x211)) (* (~ 1) x212)) (* (~ 1) x213)) (* (~ 1) x214)) (* (~ 1) x215)) (* (~ 1) x216)) (* (~ 1) x217)) 0) 
 (= (+ (+ (+ (+ (+ (+ (+ (+ 0 (* 1 x202)) (* (~ 1) x203)) (* (~ 1) x204)) (* (~ 1) x205)) (* (~ 1) x206)) (* (~ 1) x207)) (* (~ 1) x208)) (* (~ 1) x209)) 0) 
 (= (+ (+ (+ (+ (+ (+ (+ (+ 0 (* 1 x194)) (* (~ 1) x195)) (* (~ 1) x196)) (* (~ 1) x197)) (* (~ 1) x198)) (* (~ 1) x199)) (* (~ 1) x200)) (* (~ 1) x201)) 0) 
 (= (+ (+ (+ (+ (+ (+ (+ (+ 0 (* 1 x186)) (* (~ 1) x187)) (* (~ 1) x188)) (* (~ 1) x189)) (* (~ 1) x190)) (* (~ 1) x191)) (* (~ 1) x192)) (* (~ 1) x193)) 0) 
 (= (+ (+ (+ (+ (+ (+ (+ (+ 0 (* 1 x178)) (* (~ 1) x179)) (* (~ 1) x180)) (* (~ 1) x181)) (* (~ 1) x182)) (* (~ 1) x183)) (* (~ 1) x184)) (* (~ 1) x185)) 0) 
 (= (+ (+ (+ (+ (+ (+ (+ (+ 0 (* 1 x170)) (* (~ 1) x171)) (* (~ 1) x172)) (* (~ 1) x173)) (* (~ 1) x174)) (* (~ 1) x175)) (* (~ 1) x176)) (* (~ 1) x177)) 0) 
 (= (+ (+ (+ (+ (+ (+ (+ (+ 0 (* 1 x162)) (* (~ 1) x163)) (* (~ 1) x164)) (* (~ 1) x165)) (* (~ 1) x166)) (* (~ 1) x167)) (* (~ 1) x168)) (* (~ 1) x169)) 0) 
 (= (+ (+ (+ (+ (+ (+ (+ (+ 0 (* 1 x154)) (* (~ 1) x155)) (* (~ 1) x156)) (* (~ 1) x157)) (* (~ 1) x158)) (* (~ 1) x159)) (* (~ 1) x160)) (* (~ 1) x161)) 0) 
 (= (+ (+ (+ (+ (+ (+ (+ (+ 0 (* 1 x146)) (* (~ 1) x147)) (* (~ 1) x148)) (* (~ 1) x149)) (* (~ 1) x150)) (* (~ 1) x151)) (* (~ 1) x152)) (* (~ 1) x153)) 0) 
 (= (+ (+ (+ (+ (+ (+ (+ (+ 0 (* 1 x138)) (* (~ 1) x139)) (* (~ 1) x140)) (* (~ 1) x141)) (* (~ 1) x142)) (* (~ 1) x143)) (* (~ 1) x144)) (* (~ 1) x145)) 0) 
 (= (+ (+ (+ (+ (+ (+ (+ (+ 0 (* 1 x130)) (* (~ 1) x131)) (* (~ 1) x132)) (* (~ 1) x133)) (* (~ 1) x134)) (* (~ 1) x135)) (* (~ 1) x136)) (* (~ 1) x137)) 0) 
 (= (+ (+ (+ (+ (+ (+ (+ (+ 0 (* 1 x122)) (* (~ 1) x123)) (* (~ 1) x124)) (* (~ 1) x125)) (* (~ 1) x126)) (* (~ 1) x127)) (* (~ 1) x128)) (* (~ 1) x129)) 0) 
 (= (+ (+ (+ (+ (+ (+ (+ (+ 0 (* 1 x114)) (* (~ 1) x115)) (* (~ 1) x116)) (* (~ 1) x117)) (* (~ 1) x118)) (* (~ 1) x119)) (* (~ 1) x120)) (* (~ 1) x121)) 0) 
 (= (+ (+ (+ (+ (+ (+ (+ (+ 0 (* 1 x106)) (* (~ 1) x107)) (* (~ 1) x108)) (* (~ 1) x109)) (* (~ 1) x110)) (* (~ 1) x111)) (* (~ 1) x112)) (* (~ 1) x113)) 0) 
 (= (+ (+ (+ (+ (+ (+ (+ (+ 0 (* 1 x98)) (* (~ 1) x99)) (* (~ 1) x100)) (* (~ 1) x101)) (* (~ 1) x102)) (* (~ 1) x103)) (* (~ 1) x104)) (* (~ 1) x105)) 0) 
 (= (+ (+ (+ (+ (+ (+ (+ (+ 0 (* 1 x90)) (* (~ 1) x91)) (* (~ 1) x92)) (* (~ 1) x93)) (* (~ 1) x94)) (* (~ 1) x95)) (* (~ 1) x96)) (* (~ 1) x97)) 0) 
 (= (+ (+ (+ (+ (+ (+ (+ (+ 0 (* 1 x82)) (* (~ 1) x83)) (* (~ 1) x84)) (* (~ 1) x85)) (* (~ 1) x86)) (* (~ 1) x87)) (* (~ 1) x88)) (* (~ 1) x89)) 0) 
 (= (+ (+ (+ (+ (+ (+ (+ (+ 0 (* 1 x74)) (* (~ 1) x75)) (* (~ 1) x76)) (* (~ 1) x77)) (* (~ 1) x78)) (* (~ 1) x79)) (* (~ 1) x80)) (* (~ 1) x81)) 0) 
 (= (+ (+ (+ (+ (+ (+ (+ (+ 0 (* 1 x66)) (* (~ 1) x67)) (* (~ 1) x68)) (* (~ 1) x69)) (* (~ 1) x70)) (* (~ 1) x71)) (* (~ 1) x72)) (* (~ 1) x73)) 0) 
 (= (+ (+ (+ (+ (+ (+ (+ (+ 0 (* 1 x58)) (* (~ 1) x59)) (* (~ 1) x60)) (* (~ 1) x61)) (* (~ 1) x62)) (* (~ 1) x63)) (* (~ 1) x64)) (* (~ 1) x65)) 0) 
 (= (+ (+ (* 1 tmp62) 0) (+ (* 1 tmp60) (+ (* 1 tmp59) (+ (* 1 tmp61) 0)))) 2) 
 (= (+ (+ (* 1 tmp58) 0) (+ (* 1 tmp56) (+ (* 1 tmp55) (+ (* 1 tmp57) 0)))) 2) 
 (= (+ (+ (* 1 tmp20) 0) (+ (* 1 tmp53) (+ (* 1 tmp52) (+ (* 1 tmp54) 0)))) 2) 
 (= (+ (+ (* 1 tmp24) 0) (+ (* 1 tmp50) (+ (* 1 tmp49) (+ (* 1 tmp51) 0)))) 2) 
 (= (+ (+ (* 1 tmp48) 0) (+ (* 1 tmp46) (+ (* 1 tmp45) (+ (* 1 tmp47) 0)))) 2) 
 (= (+ (+ (* 1 tmp44) 0) (+ (* 1 tmp42) (+ (* 1 tmp41) (+ (* 1 tmp43) 0)))) 2) 
 (= (+ (+ (* 1 tmp40) 0) (+ (* 1 tmp38) (+ (* 1 tmp37) (+ (* 1 tmp39) 0)))) 2) 
 (= (+ (+ (* 1 tmp36) 0) (+ (* 1 tmp34) (+ (* 1 tmp33) (+ (* 1 tmp35) 0)))) 2) 
 (= (+ (+ (* 1 tmp32) 0) (+ (* 1 tmp30) (+ (* 1 tmp29) (+ (* 1 tmp31) 0)))) 2) 
 (= (+ (+ (* 1 tmp28) 0) (+ (* 1 tmp26) (+ (* 1 tmp25) (+ (* 1 tmp27) 0)))) 2) 
 (= (+ (+ (* 1 tmp24) 0) (+ (* 1 tmp22) (+ (* 1 tmp21) (+ (* 1 tmp23) 0)))) 2) 
 (= (+ (+ (* 1 tmp20) 0) (+ (* 1 tmp18) (+ (* 1 tmp17) (+ (* 1 tmp19) 0)))) 2) 
 (= (+ (+ (* 1 tmp16) 0) (+ (* 1 tmp14) (+ (* 1 tmp13) (+ (* 1 tmp15) 0)))) 2) 
 (= (+ (+ (* 1 tmp12) 0) (+ (* 1 tmp10) (+ (* 1 tmp9) (+ (* 1 tmp11) 0)))) 2) 
 (= (+ (+ (* 1 tmp8) 0) (+ (* 1 tmp6) (+ (* 1 tmp5) (+ (* 1 tmp7) 0)))) 2) 
 (= (+ (+ (* 1 tmp4) 0) (+ (* 1 tmp2) (+ (* 1 tmp1) (+ (* 1 tmp3) 0)))) 2) 
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 (implies (and (not x3) true) (= tmp125 0))
 (implies (and x3 true) (= tmp125 (~ 56)))
 (implies (and (not x3) true) (= tmp124 0))
 (implies (and x3 true) (= tmp124 (- (~ 66) (/ 1 2))))
 (implies (and (not x2) true) (= tmp123 0))
 (implies (and x2 true) (= tmp123 (~ 59)))
 (implies (and (not x2) true) (= tmp122 0))
 (implies (and x2 true) (= tmp122 (~ 65)))
 (implies (and (not x2) true) (= tmp121 0))
 (implies (and x2 true) (= tmp121 (~ 56)))
 (implies (and (not x2) true) (= tmp120 0))
 (implies (and x2 true) (= tmp120 (~ 50)))
 (implies (and (not x2) true) (= tmp119 0))
 (implies (and x2 true) (= tmp119 (- (~ 66) (/ 1 2))))
 (implies (and (not x57) true) (= tmp118 0))
 (implies (and x57 true) (= tmp118 (+ 62 (/ 69 100))))
 (implies (and (not x56) true) (= tmp117 0))
 (implies (and x56 true) (= tmp117 (+ 62 (/ 69 100))))
 (implies (and (not x55) true) (= tmp116 0))
 (implies (and x55 true) (= tmp116 (+ 62 (/ 69 100))))
 (implies (and (not x54) true) (= tmp115 0))
 (implies (and x54 true) (= tmp115 (+ 62 (/ 69 100))))
 (implies (and (not x53) true) (= tmp114 0))
 (implies (and x53 true) (= tmp114 (+ 62 (/ 69 100))))
 (implies (and (not x52) true) (= tmp113 0))
 (implies (and x52 true) (= tmp113 (+ 62 (/ 69 100))))
 (implies (and (not x51) true) (= tmp112 0))
 (implies (and x51 true) (= tmp112 (+ 62 (/ 69 100))))
 (implies (and (not x50) true) (= tmp111 0))
 (implies (and x50 true) (= tmp111 (+ 62 (/ 69 100))))
 (implies (and (not x49) true) (= tmp110 0))
 (implies (and x49 true) (= tmp110 (+ 62 (/ 69 100))))
 (implies (and (not x48) true) (= tmp109 0))
 (implies (and x48 true) (= tmp109 (+ 62 (/ 69 100))))
 (implies (and (not x47) true) (= tmp108 0))
 (implies (and x47 true) (= tmp108 (+ 62 (/ 69 100))))
 (implies (and (not x46) true) (= tmp107 0))
 (implies (and x46 true) (= tmp107 (+ 62 (/ 69 100))))
 (implies (and (not x45) true) (= tmp106 0))
 (implies (and x45 true) (= tmp106 (+ 62 (/ 69 100))))
 (implies (and (not x44) true) (= tmp105 0))
 (implies (and x44 true) (= tmp105 (+ 62 (/ 69 100))))
 (implies (and (not x43) true) (= tmp104 0))
 (implies (and x43 true) (= tmp104 (+ 62 (/ 69 100))))
 (implies (and (not x42) true) (= tmp103 0))
 (implies (and x42 true) (= tmp103 (+ 62 (/ 69 100))))
 (implies (and (not x41) true) (= tmp102 0))
 (implies (and x41 true) (= tmp102 (+ 62 (/ 69 100))))
 (implies (and (not x40) true) (= tmp101 0))
 (implies (and x40 true) (= tmp101 (+ 62 (/ 69 100))))
 (implies (and (not x39) true) (= tmp100 0))
 (implies (and x39 true) (= tmp100 (+ 62 (/ 69 100))))
 (implies (and (not x38) true) (= tmp99 0))
 (implies (and x38 true) (= tmp99 (+ 62 (/ 69 100))))
 (implies (and (not x37) true) (= tmp98 0))
 (implies (and x37 true) (= tmp98 (+ 62 (/ 69 100))))
 (implies (and (not x36) true) (= tmp97 0))
 (implies (and x36 true) (= tmp97 (+ 62 (/ 69 100))))
 (implies (and (not x35) true) (= tmp96 0))
 (implies (and x35 true) (= tmp96 (+ 62 (/ 69 100))))
 (implies (and (not x34) true) (= tmp95 0))
 (implies (and x34 true) (= tmp95 (+ 62 (/ 69 100))))
 (implies (and (not x33) true) (= tmp94 0))
 (implies (and x33 true) (= tmp94 (+ 62 (/ 69 100))))
 (implies (and (not x32) true) (= tmp93 0))
 (implies (and x32 true) (= tmp93 (+ 62 (/ 69 100))))
 (implies (and (not x31) true) (= tmp92 0))
 (implies (and x31 true) (= tmp92 (+ 62 (/ 69 100))))
 (implies (and (not x30) true) (= tmp91 0))
 (implies (and x30 true) (= tmp91 (+ 62 (/ 69 100))))
 (implies (and (not x29) true) (= tmp90 0))
 (implies (and x29 true) (= tmp90 (+ 62 (/ 69 100))))
 (implies (and (not x28) true) (= tmp89 0))
 (implies (and x28 true) (= tmp89 (+ 62 (/ 69 100))))
 (implies (and (not x27) true) (= tmp88 0))
 (implies (and x27 true) (= tmp88 (+ 62 (/ 69 100))))
 (implies (and (not x26) true) (= tmp87 0))
 (implies (and x26 true) (= tmp87 (+ 62 (/ 69 100))))
 (implies (and (not x25) true) (= tmp86 0))
 (implies (and x25 true) (= tmp86 (+ 62 (/ 69 100))))
 (implies (and (not x24) true) (= tmp85 0))
 (implies (and x24 true) (= tmp85 (+ 62 (/ 69 100))))
 (implies (and (not x23) true) (= tmp84 0))
 (implies (and x23 true) (= tmp84 (+ 62 (/ 69 100))))
 (implies (and (not x22) true) (= tmp83 0))
 (implies (and x22 true) (= tmp83 (+ 62 (/ 69 100))))
 (implies (and (not x21) true) (= tmp82 0))
 (implies (and x21 true) (= tmp82 (+ 62 (/ 69 100))))
 (implies (and (not x20) true) (= tmp81 0))
 (implies (and x20 true) (= tmp81 (+ 62 (/ 69 100))))
 (implies (and (not x19) true) (= tmp80 0))
 (implies (and x19 true) (= tmp80 (+ 62 (/ 69 100))))
 (implies (and (not x18) true) (= tmp79 0))
 (implies (and x18 true) (= tmp79 (+ 62 (/ 69 100))))
 (implies (and (not x17) true) (= tmp78 0))
 (implies (and x17 true) (= tmp78 (+ 62 (/ 69 100))))
 (implies (and (not x16) true) (= tmp77 0))
 (implies (and x16 true) (= tmp77 (+ 62 (/ 69 100))))
 (implies (and (not x15) true) (= tmp76 0))
 (implies (and x15 true) (= tmp76 (+ 62 (/ 69 100))))
 (implies (and (not x14) true) (= tmp75 0))
 (implies (and x14 true) (= tmp75 (+ 62 (/ 69 100))))
 (implies (and (not x13) true) (= tmp74 0))
 (implies (and x13 true) (= tmp74 (+ 62 (/ 69 100))))
 (implies (and (not x12) true) (= tmp73 0))
 (implies (and x12 true) (= tmp73 (+ 62 (/ 69 100))))
 (implies (and (not x11) true) (= tmp72 0))
 (implies (and x11 true) (= tmp72 (+ 62 (/ 69 100))))
 (implies (and (not x10) true) (= tmp71 0))
 (implies (and x10 true) (= tmp71 (+ 62 (/ 69 100))))
 (implies (and (not x9) true) (= tmp70 0))
 (implies (and x9 true) (= tmp70 (+ 62 (/ 69 100))))
 (implies (and (not x8) true) (= tmp69 0))
 (implies (and x8 true) (= tmp69 (+ 62 (/ 69 100))))
 (implies (and (not x7) true) (= tmp68 0))
 (implies (and x7 true) (= tmp68 (+ 62 (/ 69 100))))
 (implies (and (not x6) true) (= tmp67 0))
 (implies (and x6 true) (= tmp67 (+ 62 (/ 69 100))))
 (implies (and (not x5) true) (= tmp66 0))
 (implies (and x5 true) (= tmp66 (+ 62 (/ 69 100))))
 (implies (and (not x4) true) (= tmp65 0))
 (implies (and x4 true) (= tmp65 (+ 62 (/ 69 100))))
 (implies (and (not x3) true) (= tmp64 0))
 (implies (and x3 true) (= tmp64 (+ 62 (/ 69 100))))
 (implies (and (not x2) true) (= tmp63 0))
 (implies (and x2 true) (= tmp63 (+ 62 (/ 69 100))))
 (implies (and (not x36) true) (= tmp62 0))
 (implies (and x36 true) (= tmp62 1))
 (implies (and (not x22) (and (not x29) true)) (= tmp61 0))
 (implies (and (not x22) (and x29 true)) (= tmp61 1))
 (implies (and x22 (and (not x29) true)) (= tmp61 1))
 (implies (and x22 (and x29 true)) (= tmp61 2))
 (implies (and (not x50) (and (not x43) true)) (= tmp60 0))
 (implies (and (not x50) (and x43 true)) (= tmp60 1))
 (implies (and x50 (and (not x43) true)) (= tmp60 1))
 (implies (and x50 (and x43 true)) (= tmp60 2))
 (implies (and (not x8) (and (not x15) true)) (= tmp59 0))
 (implies (and (not x8) (and x15 true)) (= tmp59 1))
 (implies (and x8 (and (not x15) true)) (= tmp59 1))
 (implies (and x8 (and x15 true)) (= tmp59 2))
 (implies (and (not x35) true) (= tmp58 0))
 (implies (and x35 true) (= tmp58 1))
 (implies (and (not x21) (and (not x28) true)) (= tmp57 0))
 (implies (and (not x21) (and x28 true)) (= tmp57 1))
 (implies (and x21 (and (not x28) true)) (= tmp57 1))
 (implies (and x21 (and x28 true)) (= tmp57 2))
 (implies (and (not x57) (and (not x42) true)) (= tmp56 0))
 (implies (and (not x57) (and x42 true)) (= tmp56 1))
 (implies (and x57 (and (not x42) true)) (= tmp56 1))
 (implies (and x57 (and x42 true)) (= tmp56 2))
 (implies (and (not x7) (and (not x14) true)) (= tmp55 0))
 (implies (and (not x7) (and x14 true)) (= tmp55 1))
 (implies (and x7 (and (not x14) true)) (= tmp55 1))
 (implies (and x7 (and x14 true)) (= tmp55 2))
 (implies (and (not x20) (and (not x27) true)) (= tmp54 0))
 (implies (and (not x20) (and x27 true)) (= tmp54 1))
 (implies (and x20 (and (not x27) true)) (= tmp54 1))
 (implies (and x20 (and x27 true)) (= tmp54 2))
 (implies (and (not x56) (and (not x49) true)) (= tmp53 0))
 (implies (and (not x56) (and x49 true)) (= tmp53 1))
 (implies (and x56 (and (not x49) true)) (= tmp53 1))
 (implies (and x56 (and x49 true)) (= tmp53 2))
 (implies (and (not x6) (and (not x13) true)) (= tmp52 0))
 (implies (and (not x6) (and x13 true)) (= tmp52 1))
 (implies (and x6 (and (not x13) true)) (= tmp52 1))
 (implies (and x6 (and x13 true)) (= tmp52 2))
 (implies (and (not x19) (and (not x26) true)) (= tmp51 0))
 (implies (and (not x19) (and x26 true)) (= tmp51 1))
 (implies (and x19 (and (not x26) true)) (= tmp51 1))
 (implies (and x19 (and x26 true)) (= tmp51 2))
 (implies (and (not x55) (and (not x48) true)) (= tmp50 0))
 (implies (and (not x55) (and x48 true)) (= tmp50 1))
 (implies (and x55 (and (not x48) true)) (= tmp50 1))
 (implies (and x55 (and x48 true)) (= tmp50 2))
 (implies (and (not x5) (and (not x12) true)) (= tmp49 0))
 (implies (and (not x5) (and x12 true)) (= tmp49 1))
 (implies (and x5 (and (not x12) true)) (= tmp49 1))
 (implies (and x5 (and x12 true)) (= tmp49 2))
 (implies (and (not x40) true) (= tmp48 0))
 (implies (and x40 true) (= tmp48 1))
 (implies (and (not x18) (and (not x33) true)) (= tmp47 0))
 (implies (and (not x18) (and x33 true)) (= tmp47 1))
 (implies (and x18 (and (not x33) true)) (= tmp47 1))
 (implies (and x18 (and x33 true)) (= tmp47 2))
 (implies (and (not x54) (and (not x47) true)) (= tmp46 0))
 (implies (and (not x54) (and x47 true)) (= tmp46 1))
 (implies (and x54 (and (not x47) true)) (= tmp46 1))
 (implies (and x54 (and x47 true)) (= tmp46 2))
 (implies (and (not x4) (and (not x11) true)) (= tmp45 0))
 (implies (and (not x4) (and x11 true)) (= tmp45 1))
 (implies (and x4 (and (not x11) true)) (= tmp45 1))
 (implies (and x4 (and x11 true)) (= tmp45 2))
 (implies (and (not x39) true) (= tmp44 0))
 (implies (and x39 true) (= tmp44 1))
 (implies (and (not x25) (and (not x32) true)) (= tmp43 0))
 (implies (and (not x25) (and x32 true)) (= tmp43 1))
 (implies (and x25 (and (not x32) true)) (= tmp43 1))
 (implies (and x25 (and x32 true)) (= tmp43 2))
 (implies (and (not x53) (and (not x46) true)) (= tmp42 0))
 (implies (and (not x53) (and x46 true)) (= tmp42 1))
 (implies (and x53 (and (not x46) true)) (= tmp42 1))
 (implies (and x53 (and x46 true)) (= tmp42 2))
 (implies (and (not x3) (and (not x10) true)) (= tmp41 0))
 (implies (and (not x3) (and x10 true)) (= tmp41 1))
 (implies (and x3 (and (not x10) true)) (= tmp41 1))
 (implies (and x3 (and x10 true)) (= tmp41 2))
 (implies (and (not x38) true) (= tmp40 0))
 (implies (and x38 true) (= tmp40 1))
 (implies (and (not x24) (and (not x31) true)) (= tmp39 0))
 (implies (and (not x24) (and x31 true)) (= tmp39 1))
 (implies (and x24 (and (not x31) true)) (= tmp39 1))
 (implies (and x24 (and x31 true)) (= tmp39 2))
 (implies (and (not x52) (and (not x45) true)) (= tmp38 0))
 (implies (and (not x52) (and x45 true)) (= tmp38 1))
 (implies (and x52 (and (not x45) true)) (= tmp38 1))
 (implies (and x52 (and x45 true)) (= tmp38 2))
 (implies (and (not x2) (and (not x17) true)) (= tmp37 0))
 (implies (and (not x2) (and x17 true)) (= tmp37 1))
 (implies (and x2 (and (not x17) true)) (= tmp37 1))
 (implies (and x2 (and x17 true)) (= tmp37 2))
 (implies (and (not x37) true) (= tmp36 0))
 (implies (and x37 true) (= tmp36 1))
 (implies (and (not x23) (and (not x30) true)) (= tmp35 0))
 (implies (and (not x23) (and x30 true)) (= tmp35 1))
 (implies (and x23 (and (not x30) true)) (= tmp35 1))
 (implies (and x23 (and x30 true)) (= tmp35 2))
 (implies (and (not x51) (and (not x44) true)) (= tmp34 0))
 (implies (and (not x51) (and x44 true)) (= tmp34 1))
 (implies (and x51 (and (not x44) true)) (= tmp34 1))
 (implies (and x51 (and x44 true)) (= tmp34 2))
 (implies (and (not x9) (and (not x16) true)) (= tmp33 0))
 (implies (and (not x9) (and x16 true)) (= tmp33 1))
 (implies (and x9 (and (not x16) true)) (= tmp33 1))
 (implies (and x9 (and x16 true)) (= tmp33 2))
 (implies (and (not x55) true) (= tmp32 0))
 (implies (and x55 true) (= tmp32 1))
 (implies (and (not x53) (and (not x54) true)) (= tmp31 0))
 (implies (and (not x53) (and x54 true)) (= tmp31 1))
 (implies (and x53 (and (not x54) true)) (= tmp31 1))
 (implies (and x53 (and x54 true)) (= tmp31 2))
 (implies (and (not x57) (and (not x56) true)) (= tmp30 0))
 (implies (and (not x57) (and x56 true)) (= tmp30 1))
 (implies (and x57 (and (not x56) true)) (= tmp30 1))
 (implies (and x57 (and x56 true)) (= tmp30 2))
 (implies (and (not x51) (and (not x52) true)) (= tmp29 0))
 (implies (and (not x51) (and x52 true)) (= tmp29 1))
 (implies (and x51 (and (not x52) true)) (= tmp29 1))
 (implies (and x51 (and x52 true)) (= tmp29 2))
 (implies (and (not x48) true) (= tmp28 0))
 (implies (and x48 true) (= tmp28 1))
 (implies (and (not x46) (and (not x47) true)) (= tmp27 0))
 (implies (and (not x46) (and x47 true)) (= tmp27 1))
 (implies (and x46 (and (not x47) true)) (= tmp27 1))
 (implies (and x46 (and x47 true)) (= tmp27 2))
 (implies (and (not x50) (and (not x49) true)) (= tmp26 0))
 (implies (and (not x50) (and x49 true)) (= tmp26 1))
 (implies (and x50 (and (not x49) true)) (= tmp26 1))
 (implies (and x50 (and x49 true)) (= tmp26 2))
 (implies (and (not x44) (and (not x45) true)) (= tmp25 0))
 (implies (and (not x44) (and x45 true)) (= tmp25 1))
 (implies (and x44 (and (not x45) true)) (= tmp25 1))
 (implies (and x44 (and x45 true)) (= tmp25 2))
 (implies (and (not x41) true) (= tmp24 0))
 (implies (and x41 true) (= tmp24 1))
 (implies (and (not x39) (and (not x40) true)) (= tmp23 0))
 (implies (and (not x39) (and x40 true)) (= tmp23 1))
 (implies (and x39 (and (not x40) true)) (= tmp23 1))
 (implies (and x39 (and x40 true)) (= tmp23 2))
 (implies (and (not x43) (and (not x42) true)) (= tmp22 0))
 (implies (and (not x43) (and x42 true)) (= tmp22 1))
 (implies (and x43 (and (not x42) true)) (= tmp22 1))
 (implies (and x43 (and x42 true)) (= tmp22 2))
 (implies (and (not x37) (and (not x38) true)) (= tmp21 0))
 (implies (and (not x37) (and x38 true)) (= tmp21 1))
 (implies (and x37 (and (not x38) true)) (= tmp21 1))
 (implies (and x37 (and x38 true)) (= tmp21 2))
 (implies (and (not x34) true) (= tmp20 0))
 (implies (and x34 true) (= tmp20 1))
 (implies (and (not x32) (and (not x33) true)) (= tmp19 0))
 (implies (and (not x32) (and x33 true)) (= tmp19 1))
 (implies (and x32 (and (not x33) true)) (= tmp19 1))
 (implies (and x32 (and x33 true)) (= tmp19 2))
 (implies (and (not x36) (and (not x35) true)) (= tmp18 0))
 (implies (and (not x36) (and x35 true)) (= tmp18 1))
 (implies (and x36 (and (not x35) true)) (= tmp18 1))
 (implies (and x36 (and x35 true)) (= tmp18 2))
 (implies (and (not x30) (and (not x31) true)) (= tmp17 0))
 (implies (and (not x30) (and x31 true)) (= tmp17 1))
 (implies (and x30 (and (not x31) true)) (= tmp17 1))
 (implies (and x30 (and x31 true)) (= tmp17 2))
 (implies (and (not x27) true) (= tmp16 0))
 (implies (and x27 true) (= tmp16 1))
 (implies (and (not x25) (and (not x26) true)) (= tmp15 0))
 (implies (and (not x25) (and x26 true)) (= tmp15 1))
 (implies (and x25 (and (not x26) true)) (= tmp15 1))
 (implies (and x25 (and x26 true)) (= tmp15 2))
 (implies (and (not x29) (and (not x28) true)) (= tmp14 0))
 (implies (and (not x29) (and x28 true)) (= tmp14 1))
 (implies (and x29 (and (not x28) true)) (= tmp14 1))
 (implies (and x29 (and x28 true)) (= tmp14 2))
 (implies (and (not x23) (and (not x24) true)) (= tmp13 0))
 (implies (and (not x23) (and x24 true)) (= tmp13 1))
 (implies (and x23 (and (not x24) true)) (= tmp13 1))
 (implies (and x23 (and x24 true)) (= tmp13 2))
 (implies (and (not x20) true) (= tmp12 0))
 (implies (and x20 true) (= tmp12 1))
 (implies (and (not x18) (and (not x19) true)) (= tmp11 0))
 (implies (and (not x18) (and x19 true)) (= tmp11 1))
 (implies (and x18 (and (not x19) true)) (= tmp11 1))
 (implies (and x18 (and x19 true)) (= tmp11 2))
 (implies (and (not x22) (and (not x21) true)) (= tmp10 0))
 (implies (and (not x22) (and x21 true)) (= tmp10 1))
 (implies (and x22 (and (not x21) true)) (= tmp10 1))
 (implies (and x22 (and x21 true)) (= tmp10 2))
 (implies (and (not x16) (and (not x17) true)) (= tmp9 0))
 (implies (and (not x16) (and x17 true)) (= tmp9 1))
 (implies (and x16 (and (not x17) true)) (= tmp9 1))
 (implies (and x16 (and x17 true)) (= tmp9 2))
 (implies (and (not x13) true) (= tmp8 0))
 (implies (and x13 true) (= tmp8 1))
 (implies (and (not x11) (and (not x12) true)) (= tmp7 0))
 (implies (and (not x11) (and x12 true)) (= tmp7 1))
 (implies (and x11 (and (not x12) true)) (= tmp7 1))
 (implies (and x11 (and x12 true)) (= tmp7 2))
 (implies (and (not x15) (and (not x14) true)) (= tmp6 0))
 (implies (and (not x15) (and x14 true)) (= tmp6 1))
 (implies (and x15 (and (not x14) true)) (= tmp6 1))
 (implies (and x15 (and x14 true)) (= tmp6 2))
 (implies (and (not x9) (and (not x10) true)) (= tmp5 0))
 (implies (and (not x9) (and x10 true)) (= tmp5 1))
 (implies (and x9 (and (not x10) true)) (= tmp5 1))
 (implies (and x9 (and x10 true)) (= tmp5 2))
 (implies (and (not x6) true) (= tmp4 0))
 (implies (and x6 true) (= tmp4 1))
 (implies (and (not x4) (and (not x5) true)) (= tmp3 0))
 (implies (and (not x4) (and x5 true)) (= tmp3 1))
 (implies (and x4 (and (not x5) true)) (= tmp3 1))
 (implies (and x4 (and x5 true)) (= tmp3 2))
 (implies (and (not x8) (and (not x7) true)) (= tmp2 0))
 (implies (and (not x8) (and x7 true)) (= tmp2 1))
 (implies (and x8 (and (not x7) true)) (= tmp2 1))
 (implies (and x8 (and x7 true)) (= tmp2 2))
 (implies (and (not x2) (and (not x3) true)) (= tmp1 0))
 (implies (and (not x2) (and x3 true)) (= tmp1 1))
 (implies (and x2 (and (not x3) true)) (= tmp1 1))
 (implies (and x2 (and x3 true)) (= tmp1 2)))
)