YES
proof of prog.inttrs
# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty


Termination of the given IRSwT could be proven:

(0) IRSwT
(1) IRSFormatTransformerProof [EQUIVALENT, 0 ms]
(2) IRSwT
(3) IRSwTTerminationDigraphProof [EQUIVALENT, 42.4 s]
(4) TRUE


----------------------------------------

(0)
Obligation:
Rules:
l0(__const_10HAT0, a10HAT0, a15HAT0, b11HAT0, b16HAT0, c12HAT0, c17HAT0, m13HAT0, ret_max24HAT0, ret_min14HAT0, tmp620HAT0, tmp923HAT0, tmp9HAT0, tmpHAT0, tmp___0HAT0, tmp___1HAT0, x_promoted_1HAT0, y_promoted_2HAT0, zHAT0) -> l1(__const_10HATpost, a10HATpost, a15HATpost, b11HATpost, b16HATpost, c12HATpost, c17HATpost, m13HATpost, ret_max24HATpost, ret_min14HATpost, tmp620HATpost, tmp923HATpost, tmp9HATpost, tmpHATpost, tmp___0HATpost, tmp___1HATpost, x_promoted_1HATpost, y_promoted_2HATpost, zHATpost) :|: zHAT0 = zHATpost && y_promoted_2HAT0 = y_promoted_2HATpost && x_promoted_1HAT0 = x_promoted_1HATpost && tmp___1HAT0 = tmp___1HATpost && tmp___0HAT0 = tmp___0HATpost && tmp923HAT0 = tmp923HATpost && tmp9HAT0 = tmp9HATpost && tmp620HAT0 = tmp620HATpost && tmpHAT0 = tmpHATpost && ret_min14HAT0 = ret_min14HATpost && ret_max24HAT0 = ret_max24HATpost && m13HAT0 = m13HATpost && c17HAT0 = c17HATpost && c12HAT0 = c12HATpost && b16HAT0 = b16HATpost && b11HAT0 = b11HATpost && a15HAT0 = a15HATpost && a10HAT0 = a10HATpost && __const_10HAT0 = __const_10HATpost
l2(x, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18) -> l3(x19, x20, x21, x22, x23, x24, x25, x26, x27, x28, x29, x30, x31, x32, x33, x34, x35, x36, x37) :|: x17 = x36 && x16 = x35 && x15 = x34 && x11 = x30 && x12 = x31 && x10 = x29 && x13 = x32 && x9 = x28 && x7 = x26 && x6 = x25 && x5 = x24 && x4 = x23 && x3 = x22 && x2 = x21 && x1 = x20 && x = x19 && x37 = x37 && x33 = x27 && x27 = x2
l4(x38, x39, x40, x41, x42, x43, x44, x45, x46, x47, x48, x49, x50, x51, x52, x53, x54, x55, x56) -> l5(x57, x58, x59, x60, x61, x62, x63, x64, x65, x66, x67, x68, x69, x70, x71, x72, x73, x74, x75) :|: x56 = x75 && x55 = x74 && x54 = x73 && x53 = x72 && x52 = x71 && x49 = x68 && x50 = x69 && x48 = x67 && x51 = x70 && x47 = x66 && x46 = x65 && x45 = x64 && x44 = x63 && x43 = x62 && x42 = x61 && x41 = x60 && x40 = x59 && x39 = x58 && x38 = x57 && 1 + x55 <= x54
l4(x76, x77, x78, x79, x80, x81, x82, x83, x84, x85, x86, x87, x88, x89, x90, x91, x92, x93, x94) -> l3(x95, x96, x97, x98, x99, x100, x101, x102, x103, x104, x105, x106, x107, x108, x109, x110, x111, x112, x113) :|: x94 = x113 && x93 = x112 && x92 = x111 && x91 = x110 && x90 = x109 && x87 = x106 && x86 = x105 && x89 = x108 && x85 = x104 && x84 = x103 && x83 = x102 && x82 = x101 && x81 = x100 && x80 = x99 && x79 = x98 && x78 = x97 && x77 = x96 && x76 = x95 && x107 = x107 && x92 <= x93
l6(x114, x115, x116, x117, x118, x119, x120, x121, x122, x123, x124, x125, x126, x127, x128, x129, x130, x131, x132) -> l2(x133, x134, x135, x136, x137, x138, x139, x140, x141, x142, x143, x144, x145, x146, x147, x148, x149, x150, x151) :|: x132 = x151 && x131 = x150 && x130 = x149 && x129 = x148 && x128 = x147 && x125 = x144 && x126 = x145 && x124 = x143 && x127 = x146 && x123 = x142 && x122 = x141 && x121 = x140 && x120 = x139 && x119 = x138 && x118 = x137 && x117 = x136 && x116 = x135 && x115 = x134 && x114 = x133 && 1 + x120 <= x116
l6(x152, x153, x154, x155, x156, x157, x158, x159, x160, x161, x162, x163, x164, x165, x166, x167, x168, x169, x170) -> l2(x171, x172, x173, x174, x175, x176, x177, x178, x179, x180, x181, x182, x183, x184, x185, x186, x187, x188, x189) :|: x170 = x189 && x169 = x188 && x168 = x187 && x167 = x186 && x166 = x185 && x164 = x183 && x162 = x181 && x165 = x184 && x161 = x180 && x160 = x179 && x159 = x178 && x158 = x177 && x157 = x176 && x156 = x175 && x155 = x174 && x154 = x173 && x153 = x172 && x152 = x171 && x182 = x182 && x154 <= x158
l7(x190, x191, x192, x193, x194, x195, x196, x197, x198, x199, x200, x201, x202, x203, x204, x205, x206, x207, x208) -> l6(x209, x210, x211, x212, x213, x214, x215, x216, x217, x218, x219, x220, x221, x222, x223, x224, x225, x226, x227) :|: x208 = x227 && x207 = x226 && x206 = x225 && x205 = x224 && x204 = x223 && x201 = x220 && x202 = x221 && x200 = x219 && x203 = x222 && x199 = x218 && x198 = x217 && x197 = x216 && x196 = x215 && x195 = x214 && x194 = x213 && x193 = x212 && x192 = x211 && x191 = x210 && x190 = x209 && 1 + x194 <= x192
l7(x228, x229, x230, x231, x232, x233, x234, x235, x236, x237, x238, x239, x240, x241, x242, x243, x244, x245, x246) -> l6(x247, x248, x249, x250, x251, x252, x253, x254, x255, x256, x257, x258, x259, x260, x261, x262, x263, x264, x265) :|: x246 = x265 && x245 = x264 && x244 = x263 && x243 = x262 && x242 = x261 && x239 = x258 && x240 = x259 && x241 = x260 && x237 = x256 && x236 = x255 && x235 = x254 && x234 = x253 && x233 = x252 && x232 = x251 && x231 = x250 && x230 = x249 && x229 = x248 && x228 = x247 && x257 = x257 && x230 <= x232
l8(x266, x267, x268, x269, x270, x271, x272, x273, x274, x275, x276, x277, x278, x279, x280, x281, x282, x283, x284) -> l9(x285, x286, x287, x288, x289, x290, x291, x292, x293, x294, x295, x296, x297, x298, x299, x300, x301, x302, x303) :|: x284 = x303 && x283 = x302 && x282 = x301 && x281 = x300 && x280 = x299 && x277 = x296 && x278 = x297 && x276 = x295 && x279 = x298 && x275 = x294 && x274 = x293 && x272 = x291 && x271 = x290 && x270 = x289 && x269 = x288 && x268 = x287 && x267 = x286 && x266 = x285 && x292 = x271 && 1 + x271 <= x269
l8(x304, x305, x306, x307, x308, x309, x310, x311, x312, x313, x314, x315, x316, x317, x318, x319, x320, x321, x322) -> l9(x323, x324, x325, x326, x327, x328, x329, x330, x331, x332, x333, x334, x335, x336, x337, x338, x339, x340, x341) :|: x322 = x341 && x321 = x340 && x320 = x339 && x319 = x338 && x318 = x337 && x315 = x334 && x316 = x335 && x314 = x333 && x317 = x336 && x313 = x332 && x312 = x331 && x310 = x329 && x309 = x328 && x308 = x327 && x307 = x326 && x306 = x325 && x305 = x324 && x304 = x323 && x330 = x307 && x307 <= x309
l9(x342, x343, x344, x345, x346, x347, x348, x349, x350, x351, x352, x353, x354, x355, x356, x357, x358, x359, x360) -> l3(x361, x362, x363, x364, x365, x366, x367, x368, x369, x370, x371, x372, x373, x374, x375, x376, x377, x378, x379) :|: x360 = x379 && x359 = x378 && x357 = x376 && x356 = x375 && x353 = x372 && x354 = x373 && x352 = x371 && x350 = x369 && x349 = x368 && x348 = x367 && x347 = x366 && x346 = x365 && x345 = x364 && x344 = x363 && x343 = x362 && x342 = x361 && x377 = x374 + x358 && x374 = x370 && x370 = x349
l10(x380, x381, x382, x383, x384, x385, x386, x387, x388, x389, x390, x391, x392, x393, x394, x395, x396, x397, x398) -> l9(x399, x400, x401, x402, x403, x404, x405, x406, x407, x408, x409, x410, x411, x412, x413, x414, x415, x416, x417) :|: x398 = x417 && x397 = x416 && x396 = x415 && x395 = x414 && x394 = x413 && x391 = x410 && x392 = x411 && x390 = x409 && x393 = x412 && x389 = x408 && x388 = x407 && x386 = x405 && x385 = x404 && x384 = x403 && x383 = x402 && x382 = x401 && x381 = x400 && x380 = x399 && x406 = x385 && 1 + x385 <= x381
l10(x418, x419, x420, x421, x422, x423, x424, x425, x426, x427, x428, x429, x430, x431, x432, x433, x434, x435, x436) -> l9(x437, x438, x439, x440, x441, x442, x443, x444, x445, x446, x447, x448, x449, x450, x451, x452, x453, x454, x455) :|: x436 = x455 && x435 = x454 && x434 = x453 && x433 = x452 && x432 = x451 && x429 = x448 && x430 = x449 && x428 = x447 && x431 = x450 && x427 = x446 && x426 = x445 && x424 = x443 && x423 = x442 && x422 = x441 && x421 = x440 && x420 = x439 && x419 = x438 && x418 = x437 && x444 = x419 && x419 <= x423
l11(x456, x457, x458, x459, x460, x461, x462, x463, x464, x465, x466, x467, x468, x469, x470, x471, x472, x473, x474) -> l8(x475, x476, x477, x478, x479, x480, x481, x482, x483, x484, x485, x486, x487, x488, x489, x490, x491, x492, x493) :|: x474 = x493 && x473 = x492 && x472 = x491 && x471 = x490 && x470 = x489 && x467 = x486 && x468 = x487 && x466 = x485 && x469 = x488 && x465 = x484 && x464 = x483 && x463 = x482 && x462 = x481 && x461 = x480 && x460 = x479 && x459 = x478 && x458 = x477 && x457 = x476 && x456 = x475 && 1 + x459 <= x457
l11(x494, x495, x496, x497, x498, x499, x500, x501, x502, x503, x504, x505, x506, x507, x508, x509, x510, x511, x512) -> l10(x513, x514, x515, x516, x517, x518, x519, x520, x521, x522, x523, x524, x525, x526, x527, x528, x529, x530, x531) :|: x512 = x531 && x511 = x530 && x510 = x529 && x509 = x528 && x508 = x527 && x505 = x524 && x506 = x525 && x504 = x523 && x507 = x526 && x503 = x522 && x502 = x521 && x501 = x520 && x500 = x519 && x499 = x518 && x498 = x517 && x497 = x516 && x496 = x515 && x495 = x514 && x494 = x513 && x495 <= x497
l5(x532, x533, x534, x535, x536, x537, x538, x539, x540, x541, x542, x543, x544, x545, x546, x547, x548, x549, x550) -> l7(x551, x552, x553, x554, x555, x556, x557, x558, x559, x560, x561, x562, x563, x564, x565, x566, x567, x568, x569) :|: x550 = x569 && x549 = x568 && x548 = x567 && x547 = x566 && x546 = x565 && x543 = x562 && x544 = x563 && x542 = x561 && x545 = x564 && x541 = x560 && x540 = x559 && x539 = x558 && x537 = x556 && x535 = x554 && x533 = x552 && x532 = x551 && x557 = x548 && x555 = x549 && x553 = x550 && 1 + x550 <= x548
l5(x570, x571, x572, x573, x574, x575, x576, x577, x578, x579, x580, x581, x582, x583, x584, x585, x586, x587, x588) -> l11(x589, x590, x591, x592, x593, x594, x595, x596, x597, x598, x599, x600, x601, x602, x603, x604, x605, x606, x607) :|: x588 = x607 && x587 = x606 && x586 = x605 && x585 = x604 && x584 = x603 && x581 = x600 && x582 = x601 && x580 = x599 && x583 = x602 && x579 = x598 && x578 = x597 && x577 = x596 && x576 = x595 && x574 = x593 && x572 = x591 && x570 = x589 && x594 = x588 && x592 = x587 && x590 = x586 && x586 <= x588
l3(x608, x609, x610, x611, x612, x613, x614, x615, x616, x617, x618, x619, x620, x621, x622, x623, x624, x625, x626) -> l0(x627, x628, x629, x630, x631, x632, x633, x634, x635, x636, x637, x638, x639, x640, x641, x642, x643, x644, x645) :|: x626 = x645 && x625 = x644 && x624 = x643 && x622 = x641 && x619 = x638 && x620 = x639 && x618 = x637 && x621 = x640 && x617 = x636 && x616 = x635 && x615 = x634 && x614 = x633 && x613 = x632 && x612 = x631 && x611 = x630 && x610 = x629 && x609 = x628 && x608 = x627 && x642 = x625 - x626 && 1 + x626 <= x625
l3(x646, x647, x648, x649, x650, x651, x652, x653, x654, x655, x656, x657, x658, x659, x660, x661, x662, x663, x664) -> l0(x665, x666, x667, x668, x669, x670, x671, x672, x673, x674, x675, x676, x677, x678, x679, x680, x681, x682, x683) :|: x664 = x683 && x663 = x682 && x662 = x681 && x660 = x679 && x657 = x676 && x658 = x677 && x656 = x675 && x659 = x678 && x655 = x674 && x654 = x673 && x653 = x672 && x652 = x671 && x651 = x670 && x650 = x669 && x649 = x668 && x648 = x667 && x647 = x666 && x646 = x665 && x680 = x663 + x664 && x663 <= x664
l12(x684, x685, x686, x687, x688, x689, x690, x691, x692, x693, x694, x695, x696, x697, x698, x699, x700, x701, x702) -> l4(x703, x704, x705, x706, x707, x708, x709, x710, x711, x712, x713, x714, x715, x716, x717, x718, x719, x720, x721) :|: x699 = x718 && x698 = x717 && x695 = x714 && x696 = x715 && x694 = x713 && x697 = x716 && x693 = x712 && x692 = x711 && x691 = x710 && x690 = x709 && x689 = x708 && x688 = x707 && x687 = x706 && x686 = x705 && x685 = x704 && x684 = x703 && x721 = 1 && x720 = 2 && x719 = x684
l13(x722, x723, x724, x725, x726, x727, x728, x729, x730, x731, x732, x733, x734, x735, x736, x737, x738, x739, x740) -> l12(x741, x742, x743, x744, x745, x746, x747, x748, x749, x750, x751, x752, x753, x754, x755, x756, x757, x758, x759) :|: x740 = x759 && x739 = x758 && x738 = x757 && x737 = x756 && x736 = x755 && x733 = x752 && x734 = x753 && x732 = x751 && x735 = x754 && x731 = x750 && x730 = x749 && x729 = x748 && x728 = x747 && x727 = x746 && x726 = x745 && x725 = x744 && x724 = x743 && x723 = x742 && x722 = x741
Start term: l13(__const_10HAT0, a10HAT0, a15HAT0, b11HAT0, b16HAT0, c12HAT0, c17HAT0, m13HAT0, ret_max24HAT0, ret_min14HAT0, tmp620HAT0, tmp923HAT0, tmp9HAT0, tmpHAT0, tmp___0HAT0, tmp___1HAT0, x_promoted_1HAT0, y_promoted_2HAT0, zHAT0)

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(1) IRSFormatTransformerProof (EQUIVALENT)
Reformatted IRS to match normalized format (transformed away non-linear left-hand sides, !=, / and %).
----------------------------------------

(2)
Obligation:
Rules:
l0(__const_10HAT0, a10HAT0, a15HAT0, b11HAT0, b16HAT0, c12HAT0, c17HAT0, m13HAT0, ret_max24HAT0, ret_min14HAT0, tmp620HAT0, tmp923HAT0, tmp9HAT0, tmpHAT0, tmp___0HAT0, tmp___1HAT0, x_promoted_1HAT0, y_promoted_2HAT0, zHAT0) -> l1(__const_10HATpost, a10HATpost, a15HATpost, b11HATpost, b16HATpost, c12HATpost, c17HATpost, m13HATpost, ret_max24HATpost, ret_min14HATpost, tmp620HATpost, tmp923HATpost, tmp9HATpost, tmpHATpost, tmp___0HATpost, tmp___1HATpost, x_promoted_1HATpost, y_promoted_2HATpost, zHATpost) :|: zHAT0 = zHATpost && y_promoted_2HAT0 = y_promoted_2HATpost && x_promoted_1HAT0 = x_promoted_1HATpost && tmp___1HAT0 = tmp___1HATpost && tmp___0HAT0 = tmp___0HATpost && tmp923HAT0 = tmp923HATpost && tmp9HAT0 = tmp9HATpost && tmp620HAT0 = tmp620HATpost && tmpHAT0 = tmpHATpost && ret_min14HAT0 = ret_min14HATpost && ret_max24HAT0 = ret_max24HATpost && m13HAT0 = m13HATpost && c17HAT0 = c17HATpost && c12HAT0 = c12HATpost && b16HAT0 = b16HATpost && b11HAT0 = b11HATpost && a15HAT0 = a15HATpost && a10HAT0 = a10HATpost && __const_10HAT0 = __const_10HATpost
l2(x, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18) -> l3(x19, x20, x21, x22, x23, x24, x25, x26, x27, x28, x29, x30, x31, x32, x33, x34, x35, x36, x37) :|: x17 = x36 && x16 = x35 && x15 = x34 && x11 = x30 && x12 = x31 && x10 = x29 && x13 = x32 && x9 = x28 && x7 = x26 && x6 = x25 && x5 = x24 && x4 = x23 && x3 = x22 && x2 = x21 && x1 = x20 && x = x19 && x37 = x37 && x33 = x27 && x27 = x2
l4(x38, x39, x40, x41, x42, x43, x44, x45, x46, x47, x48, x49, x50, x51, x52, x53, x54, x55, x56) -> l5(x57, x58, x59, x60, x61, x62, x63, x64, x65, x66, x67, x68, x69, x70, x71, x72, x73, x74, x75) :|: x56 = x75 && x55 = x74 && x54 = x73 && x53 = x72 && x52 = x71 && x49 = x68 && x50 = x69 && x48 = x67 && x51 = x70 && x47 = x66 && x46 = x65 && x45 = x64 && x44 = x63 && x43 = x62 && x42 = x61 && x41 = x60 && x40 = x59 && x39 = x58 && x38 = x57 && 1 + x55 <= x54
l4(x76, x77, x78, x79, x80, x81, x82, x83, x84, x85, x86, x87, x88, x89, x90, x91, x92, x93, x94) -> l3(x95, x96, x97, x98, x99, x100, x101, x102, x103, x104, x105, x106, x107, x108, x109, x110, x111, x112, x113) :|: x94 = x113 && x93 = x112 && x92 = x111 && x91 = x110 && x90 = x109 && x87 = x106 && x86 = x105 && x89 = x108 && x85 = x104 && x84 = x103 && x83 = x102 && x82 = x101 && x81 = x100 && x80 = x99 && x79 = x98 && x78 = x97 && x77 = x96 && x76 = x95 && x107 = x107 && x92 <= x93
l6(x114, x115, x116, x117, x118, x119, x120, x121, x122, x123, x124, x125, x126, x127, x128, x129, x130, x131, x132) -> l2(x133, x134, x135, x136, x137, x138, x139, x140, x141, x142, x143, x144, x145, x146, x147, x148, x149, x150, x151) :|: x132 = x151 && x131 = x150 && x130 = x149 && x129 = x148 && x128 = x147 && x125 = x144 && x126 = x145 && x124 = x143 && x127 = x146 && x123 = x142 && x122 = x141 && x121 = x140 && x120 = x139 && x119 = x138 && x118 = x137 && x117 = x136 && x116 = x135 && x115 = x134 && x114 = x133 && 1 + x120 <= x116
l6(x152, x153, x154, x155, x156, x157, x158, x159, x160, x161, x162, x163, x164, x165, x166, x167, x168, x169, x170) -> l2(x171, x172, x173, x174, x175, x176, x177, x178, x179, x180, x181, x182, x183, x184, x185, x186, x187, x188, x189) :|: x170 = x189 && x169 = x188 && x168 = x187 && x167 = x186 && x166 = x185 && x164 = x183 && x162 = x181 && x165 = x184 && x161 = x180 && x160 = x179 && x159 = x178 && x158 = x177 && x157 = x176 && x156 = x175 && x155 = x174 && x154 = x173 && x153 = x172 && x152 = x171 && x182 = x182 && x154 <= x158
l7(x190, x191, x192, x193, x194, x195, x196, x197, x198, x199, x200, x201, x202, x203, x204, x205, x206, x207, x208) -> l6(x209, x210, x211, x212, x213, x214, x215, x216, x217, x218, x219, x220, x221, x222, x223, x224, x225, x226, x227) :|: x208 = x227 && x207 = x226 && x206 = x225 && x205 = x224 && x204 = x223 && x201 = x220 && x202 = x221 && x200 = x219 && x203 = x222 && x199 = x218 && x198 = x217 && x197 = x216 && x196 = x215 && x195 = x214 && x194 = x213 && x193 = x212 && x192 = x211 && x191 = x210 && x190 = x209 && 1 + x194 <= x192
l7(x228, x229, x230, x231, x232, x233, x234, x235, x236, x237, x238, x239, x240, x241, x242, x243, x244, x245, x246) -> l6(x247, x248, x249, x250, x251, x252, x253, x254, x255, x256, x257, x258, x259, x260, x261, x262, x263, x264, x265) :|: x246 = x265 && x245 = x264 && x244 = x263 && x243 = x262 && x242 = x261 && x239 = x258 && x240 = x259 && x241 = x260 && x237 = x256 && x236 = x255 && x235 = x254 && x234 = x253 && x233 = x252 && x232 = x251 && x231 = x250 && x230 = x249 && x229 = x248 && x228 = x247 && x257 = x257 && x230 <= x232
l8(x266, x267, x268, x269, x270, x271, x272, x273, x274, x275, x276, x277, x278, x279, x280, x281, x282, x283, x284) -> l9(x285, x286, x287, x288, x289, x290, x291, x292, x293, x294, x295, x296, x297, x298, x299, x300, x301, x302, x303) :|: x284 = x303 && x283 = x302 && x282 = x301 && x281 = x300 && x280 = x299 && x277 = x296 && x278 = x297 && x276 = x295 && x279 = x298 && x275 = x294 && x274 = x293 && x272 = x291 && x271 = x290 && x270 = x289 && x269 = x288 && x268 = x287 && x267 = x286 && x266 = x285 && x292 = x271 && 1 + x271 <= x269
l8(x304, x305, x306, x307, x308, x309, x310, x311, x312, x313, x314, x315, x316, x317, x318, x319, x320, x321, x322) -> l9(x323, x324, x325, x326, x327, x328, x329, x330, x331, x332, x333, x334, x335, x336, x337, x338, x339, x340, x341) :|: x322 = x341 && x321 = x340 && x320 = x339 && x319 = x338 && x318 = x337 && x315 = x334 && x316 = x335 && x314 = x333 && x317 = x336 && x313 = x332 && x312 = x331 && x310 = x329 && x309 = x328 && x308 = x327 && x307 = x326 && x306 = x325 && x305 = x324 && x304 = x323 && x330 = x307 && x307 <= x309
l9(x342, x343, x344, x345, x346, x347, x348, x349, x350, x351, x352, x353, x354, x355, x356, x357, x358, x359, x360) -> l3(x361, x362, x363, x364, x365, x366, x367, x368, x369, x370, x371, x372, x373, x374, x375, x376, x377, x378, x379) :|: x360 = x379 && x359 = x378 && x357 = x376 && x356 = x375 && x353 = x372 && x354 = x373 && x352 = x371 && x350 = x369 && x349 = x368 && x348 = x367 && x347 = x366 && x346 = x365 && x345 = x364 && x344 = x363 && x343 = x362 && x342 = x361 && x377 = x374 + x358 && x374 = x370 && x370 = x349
l10(x380, x381, x382, x383, x384, x385, x386, x387, x388, x389, x390, x391, x392, x393, x394, x395, x396, x397, x398) -> l9(x399, x400, x401, x402, x403, x404, x405, x406, x407, x408, x409, x410, x411, x412, x413, x414, x415, x416, x417) :|: x398 = x417 && x397 = x416 && x396 = x415 && x395 = x414 && x394 = x413 && x391 = x410 && x392 = x411 && x390 = x409 && x393 = x412 && x389 = x408 && x388 = x407 && x386 = x405 && x385 = x404 && x384 = x403 && x383 = x402 && x382 = x401 && x381 = x400 && x380 = x399 && x406 = x385 && 1 + x385 <= x381
l10(x418, x419, x420, x421, x422, x423, x424, x425, x426, x427, x428, x429, x430, x431, x432, x433, x434, x435, x436) -> l9(x437, x438, x439, x440, x441, x442, x443, x444, x445, x446, x447, x448, x449, x450, x451, x452, x453, x454, x455) :|: x436 = x455 && x435 = x454 && x434 = x453 && x433 = x452 && x432 = x451 && x429 = x448 && x430 = x449 && x428 = x447 && x431 = x450 && x427 = x446 && x426 = x445 && x424 = x443 && x423 = x442 && x422 = x441 && x421 = x440 && x420 = x439 && x419 = x438 && x418 = x437 && x444 = x419 && x419 <= x423
l11(x456, x457, x458, x459, x460, x461, x462, x463, x464, x465, x466, x467, x468, x469, x470, x471, x472, x473, x474) -> l8(x475, x476, x477, x478, x479, x480, x481, x482, x483, x484, x485, x486, x487, x488, x489, x490, x491, x492, x493) :|: x474 = x493 && x473 = x492 && x472 = x491 && x471 = x490 && x470 = x489 && x467 = x486 && x468 = x487 && x466 = x485 && x469 = x488 && x465 = x484 && x464 = x483 && x463 = x482 && x462 = x481 && x461 = x480 && x460 = x479 && x459 = x478 && x458 = x477 && x457 = x476 && x456 = x475 && 1 + x459 <= x457
l11(x494, x495, x496, x497, x498, x499, x500, x501, x502, x503, x504, x505, x506, x507, x508, x509, x510, x511, x512) -> l10(x513, x514, x515, x516, x517, x518, x519, x520, x521, x522, x523, x524, x525, x526, x527, x528, x529, x530, x531) :|: x512 = x531 && x511 = x530 && x510 = x529 && x509 = x528 && x508 = x527 && x505 = x524 && x506 = x525 && x504 = x523 && x507 = x526 && x503 = x522 && x502 = x521 && x501 = x520 && x500 = x519 && x499 = x518 && x498 = x517 && x497 = x516 && x496 = x515 && x495 = x514 && x494 = x513 && x495 <= x497
l5(x532, x533, x534, x535, x536, x537, x538, x539, x540, x541, x542, x543, x544, x545, x546, x547, x548, x549, x550) -> l7(x551, x552, x553, x554, x555, x556, x557, x558, x559, x560, x561, x562, x563, x564, x565, x566, x567, x568, x569) :|: x550 = x569 && x549 = x568 && x548 = x567 && x547 = x566 && x546 = x565 && x543 = x562 && x544 = x563 && x542 = x561 && x545 = x564 && x541 = x560 && x540 = x559 && x539 = x558 && x537 = x556 && x535 = x554 && x533 = x552 && x532 = x551 && x557 = x548 && x555 = x549 && x553 = x550 && 1 + x550 <= x548
l5(x570, x571, x572, x573, x574, x575, x576, x577, x578, x579, x580, x581, x582, x583, x584, x585, x586, x587, x588) -> l11(x589, x590, x591, x592, x593, x594, x595, x596, x597, x598, x599, x600, x601, x602, x603, x604, x605, x606, x607) :|: x588 = x607 && x587 = x606 && x586 = x605 && x585 = x604 && x584 = x603 && x581 = x600 && x582 = x601 && x580 = x599 && x583 = x602 && x579 = x598 && x578 = x597 && x577 = x596 && x576 = x595 && x574 = x593 && x572 = x591 && x570 = x589 && x594 = x588 && x592 = x587 && x590 = x586 && x586 <= x588
l3(x608, x609, x610, x611, x612, x613, x614, x615, x616, x617, x618, x619, x620, x621, x622, x623, x624, x625, x626) -> l0(x627, x628, x629, x630, x631, x632, x633, x634, x635, x636, x637, x638, x639, x640, x641, x642, x643, x644, x645) :|: x626 = x645 && x625 = x644 && x624 = x643 && x622 = x641 && x619 = x638 && x620 = x639 && x618 = x637 && x621 = x640 && x617 = x636 && x616 = x635 && x615 = x634 && x614 = x633 && x613 = x632 && x612 = x631 && x611 = x630 && x610 = x629 && x609 = x628 && x608 = x627 && x642 = x625 - x626 && 1 + x626 <= x625
l3(x646, x647, x648, x649, x650, x651, x652, x653, x654, x655, x656, x657, x658, x659, x660, x661, x662, x663, x664) -> l0(x665, x666, x667, x668, x669, x670, x671, x672, x673, x674, x675, x676, x677, x678, x679, x680, x681, x682, x683) :|: x664 = x683 && x663 = x682 && x662 = x681 && x660 = x679 && x657 = x676 && x658 = x677 && x656 = x675 && x659 = x678 && x655 = x674 && x654 = x673 && x653 = x672 && x652 = x671 && x651 = x670 && x650 = x669 && x649 = x668 && x648 = x667 && x647 = x666 && x646 = x665 && x680 = x663 + x664 && x663 <= x664
l12(x684, x685, x686, x687, x688, x689, x690, x691, x692, x693, x694, x695, x696, x697, x698, x699, x700, x701, x702) -> l4(x703, x704, x705, x706, x707, x708, x709, x710, x711, x712, x713, x714, x715, x716, x717, x718, x719, x720, x721) :|: x699 = x718 && x698 = x717 && x695 = x714 && x696 = x715 && x694 = x713 && x697 = x716 && x693 = x712 && x692 = x711 && x691 = x710 && x690 = x709 && x689 = x708 && x688 = x707 && x687 = x706 && x686 = x705 && x685 = x704 && x684 = x703 && x721 = 1 && x720 = 2 && x719 = x684
l13(x722, x723, x724, x725, x726, x727, x728, x729, x730, x731, x732, x733, x734, x735, x736, x737, x738, x739, x740) -> l12(x741, x742, x743, x744, x745, x746, x747, x748, x749, x750, x751, x752, x753, x754, x755, x756, x757, x758, x759) :|: x740 = x759 && x739 = x758 && x738 = x757 && x737 = x756 && x736 = x755 && x733 = x752 && x734 = x753 && x732 = x751 && x735 = x754 && x731 = x750 && x730 = x749 && x729 = x748 && x728 = x747 && x727 = x746 && x726 = x745 && x725 = x744 && x724 = x743 && x723 = x742 && x722 = x741
Start term: l13(__const_10HAT0, a10HAT0, a15HAT0, b11HAT0, b16HAT0, c12HAT0, c17HAT0, m13HAT0, ret_max24HAT0, ret_min14HAT0, tmp620HAT0, tmp923HAT0, tmp9HAT0, tmpHAT0, tmp___0HAT0, tmp___1HAT0, x_promoted_1HAT0, y_promoted_2HAT0, zHAT0)

----------------------------------------

(3) IRSwTTerminationDigraphProof (EQUIVALENT)
Constructed termination digraph!
Nodes:
(1) l0(__const_10HAT0, a10HAT0, a15HAT0, b11HAT0, b16HAT0, c12HAT0, c17HAT0, m13HAT0, ret_max24HAT0, ret_min14HAT0, tmp620HAT0, tmp923HAT0, tmp9HAT0, tmpHAT0, tmp___0HAT0, tmp___1HAT0, x_promoted_1HAT0, y_promoted_2HAT0, zHAT0) -> l1(__const_10HATpost, a10HATpost, a15HATpost, b11HATpost, b16HATpost, c12HATpost, c17HATpost, m13HATpost, ret_max24HATpost, ret_min14HATpost, tmp620HATpost, tmp923HATpost, tmp9HATpost, tmpHATpost, tmp___0HATpost, tmp___1HATpost, x_promoted_1HATpost, y_promoted_2HATpost, zHATpost) :|: zHAT0 = zHATpost && y_promoted_2HAT0 = y_promoted_2HATpost && x_promoted_1HAT0 = x_promoted_1HATpost && tmp___1HAT0 = tmp___1HATpost && tmp___0HAT0 = tmp___0HATpost && tmp923HAT0 = tmp923HATpost && tmp9HAT0 = tmp9HATpost && tmp620HAT0 = tmp620HATpost && tmpHAT0 = tmpHATpost && ret_min14HAT0 = ret_min14HATpost && ret_max24HAT0 = ret_max24HATpost && m13HAT0 = m13HATpost && c17HAT0 = c17HATpost && c12HAT0 = c12HATpost && b16HAT0 = b16HATpost && b11HAT0 = b11HATpost && a15HAT0 = a15HATpost && a10HAT0 = a10HATpost && __const_10HAT0 = __const_10HATpost
(2) l2(x, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18) -> l3(x19, x20, x21, x22, x23, x24, x25, x26, x27, x28, x29, x30, x31, x32, x33, x34, x35, x36, x37) :|: x17 = x36 && x16 = x35 && x15 = x34 && x11 = x30 && x12 = x31 && x10 = x29 && x13 = x32 && x9 = x28 && x7 = x26 && x6 = x25 && x5 = x24 && x4 = x23 && x3 = x22 && x2 = x21 && x1 = x20 && x = x19 && x37 = x37 && x33 = x27 && x27 = x2
(3) l4(x38, x39, x40, x41, x42, x43, x44, x45, x46, x47, x48, x49, x50, x51, x52, x53, x54, x55, x56) -> l5(x57, x58, x59, x60, x61, x62, x63, x64, x65, x66, x67, x68, x69, x70, x71, x72, x73, x74, x75) :|: x56 = x75 && x55 = x74 && x54 = x73 && x53 = x72 && x52 = x71 && x49 = x68 && x50 = x69 && x48 = x67 && x51 = x70 && x47 = x66 && x46 = x65 && x45 = x64 && x44 = x63 && x43 = x62 && x42 = x61 && x41 = x60 && x40 = x59 && x39 = x58 && x38 = x57 && 1 + x55 <= x54
(4) l4(x76, x77, x78, x79, x80, x81, x82, x83, x84, x85, x86, x87, x88, x89, x90, x91, x92, x93, x94) -> l3(x95, x96, x97, x98, x99, x100, x101, x102, x103, x104, x105, x106, x107, x108, x109, x110, x111, x112, x113) :|: x94 = x113 && x93 = x112 && x92 = x111 && x91 = x110 && x90 = x109 && x87 = x106 && x86 = x105 && x89 = x108 && x85 = x104 && x84 = x103 && x83 = x102 && x82 = x101 && x81 = x100 && x80 = x99 && x79 = x98 && x78 = x97 && x77 = x96 && x76 = x95 && x107 = x107 && x92 <= x93
(5) l6(x114, x115, x116, x117, x118, x119, x120, x121, x122, x123, x124, x125, x126, x127, x128, x129, x130, x131, x132) -> l2(x133, x134, x135, x136, x137, x138, x139, x140, x141, x142, x143, x144, x145, x146, x147, x148, x149, x150, x151) :|: x132 = x151 && x131 = x150 && x130 = x149 && x129 = x148 && x128 = x147 && x125 = x144 && x126 = x145 && x124 = x143 && x127 = x146 && x123 = x142 && x122 = x141 && x121 = x140 && x120 = x139 && x119 = x138 && x118 = x137 && x117 = x136 && x116 = x135 && x115 = x134 && x114 = x133 && 1 + x120 <= x116
(6) l6(x152, x153, x154, x155, x156, x157, x158, x159, x160, x161, x162, x163, x164, x165, x166, x167, x168, x169, x170) -> l2(x171, x172, x173, x174, x175, x176, x177, x178, x179, x180, x181, x182, x183, x184, x185, x186, x187, x188, x189) :|: x170 = x189 && x169 = x188 && x168 = x187 && x167 = x186 && x166 = x185 && x164 = x183 && x162 = x181 && x165 = x184 && x161 = x180 && x160 = x179 && x159 = x178 && x158 = x177 && x157 = x176 && x156 = x175 && x155 = x174 && x154 = x173 && x153 = x172 && x152 = x171 && x182 = x182 && x154 <= x158
(7) l7(x190, x191, x192, x193, x194, x195, x196, x197, x198, x199, x200, x201, x202, x203, x204, x205, x206, x207, x208) -> l6(x209, x210, x211, x212, x213, x214, x215, x216, x217, x218, x219, x220, x221, x222, x223, x224, x225, x226, x227) :|: x208 = x227 && x207 = x226 && x206 = x225 && x205 = x224 && x204 = x223 && x201 = x220 && x202 = x221 && x200 = x219 && x203 = x222 && x199 = x218 && x198 = x217 && x197 = x216 && x196 = x215 && x195 = x214 && x194 = x213 && x193 = x212 && x192 = x211 && x191 = x210 && x190 = x209 && 1 + x194 <= x192
(8) l7(x228, x229, x230, x231, x232, x233, x234, x235, x236, x237, x238, x239, x240, x241, x242, x243, x244, x245, x246) -> l6(x247, x248, x249, x250, x251, x252, x253, x254, x255, x256, x257, x258, x259, x260, x261, x262, x263, x264, x265) :|: x246 = x265 && x245 = x264 && x244 = x263 && x243 = x262 && x242 = x261 && x239 = x258 && x240 = x259 && x241 = x260 && x237 = x256 && x236 = x255 && x235 = x254 && x234 = x253 && x233 = x252 && x232 = x251 && x231 = x250 && x230 = x249 && x229 = x248 && x228 = x247 && x257 = x257 && x230 <= x232
(9) l8(x266, x267, x268, x269, x270, x271, x272, x273, x274, x275, x276, x277, x278, x279, x280, x281, x282, x283, x284) -> l9(x285, x286, x287, x288, x289, x290, x291, x292, x293, x294, x295, x296, x297, x298, x299, x300, x301, x302, x303) :|: x284 = x303 && x283 = x302 && x282 = x301 && x281 = x300 && x280 = x299 && x277 = x296 && x278 = x297 && x276 = x295 && x279 = x298 && x275 = x294 && x274 = x293 && x272 = x291 && x271 = x290 && x270 = x289 && x269 = x288 && x268 = x287 && x267 = x286 && x266 = x285 && x292 = x271 && 1 + x271 <= x269
(10) l8(x304, x305, x306, x307, x308, x309, x310, x311, x312, x313, x314, x315, x316, x317, x318, x319, x320, x321, x322) -> l9(x323, x324, x325, x326, x327, x328, x329, x330, x331, x332, x333, x334, x335, x336, x337, x338, x339, x340, x341) :|: x322 = x341 && x321 = x340 && x320 = x339 && x319 = x338 && x318 = x337 && x315 = x334 && x316 = x335 && x314 = x333 && x317 = x336 && x313 = x332 && x312 = x331 && x310 = x329 && x309 = x328 && x308 = x327 && x307 = x326 && x306 = x325 && x305 = x324 && x304 = x323 && x330 = x307 && x307 <= x309
(11) l9(x342, x343, x344, x345, x346, x347, x348, x349, x350, x351, x352, x353, x354, x355, x356, x357, x358, x359, x360) -> l3(x361, x362, x363, x364, x365, x366, x367, x368, x369, x370, x371, x372, x373, x374, x375, x376, x377, x378, x379) :|: x360 = x379 && x359 = x378 && x357 = x376 && x356 = x375 && x353 = x372 && x354 = x373 && x352 = x371 && x350 = x369 && x349 = x368 && x348 = x367 && x347 = x366 && x346 = x365 && x345 = x364 && x344 = x363 && x343 = x362 && x342 = x361 && x377 = x374 + x358 && x374 = x370 && x370 = x349
(12) l10(x380, x381, x382, x383, x384, x385, x386, x387, x388, x389, x390, x391, x392, x393, x394, x395, x396, x397, x398) -> l9(x399, x400, x401, x402, x403, x404, x405, x406, x407, x408, x409, x410, x411, x412, x413, x414, x415, x416, x417) :|: x398 = x417 && x397 = x416 && x396 = x415 && x395 = x414 && x394 = x413 && x391 = x410 && x392 = x411 && x390 = x409 && x393 = x412 && x389 = x408 && x388 = x407 && x386 = x405 && x385 = x404 && x384 = x403 && x383 = x402 && x382 = x401 && x381 = x400 && x380 = x399 && x406 = x385 && 1 + x385 <= x381
(13) l10(x418, x419, x420, x421, x422, x423, x424, x425, x426, x427, x428, x429, x430, x431, x432, x433, x434, x435, x436) -> l9(x437, x438, x439, x440, x441, x442, x443, x444, x445, x446, x447, x448, x449, x450, x451, x452, x453, x454, x455) :|: x436 = x455 && x435 = x454 && x434 = x453 && x433 = x452 && x432 = x451 && x429 = x448 && x430 = x449 && x428 = x447 && x431 = x450 && x427 = x446 && x426 = x445 && x424 = x443 && x423 = x442 && x422 = x441 && x421 = x440 && x420 = x439 && x419 = x438 && x418 = x437 && x444 = x419 && x419 <= x423
(14) l11(x456, x457, x458, x459, x460, x461, x462, x463, x464, x465, x466, x467, x468, x469, x470, x471, x472, x473, x474) -> l8(x475, x476, x477, x478, x479, x480, x481, x482, x483, x484, x485, x486, x487, x488, x489, x490, x491, x492, x493) :|: x474 = x493 && x473 = x492 && x472 = x491 && x471 = x490 && x470 = x489 && x467 = x486 && x468 = x487 && x466 = x485 && x469 = x488 && x465 = x484 && x464 = x483 && x463 = x482 && x462 = x481 && x461 = x480 && x460 = x479 && x459 = x478 && x458 = x477 && x457 = x476 && x456 = x475 && 1 + x459 <= x457
(15) l11(x494, x495, x496, x497, x498, x499, x500, x501, x502, x503, x504, x505, x506, x507, x508, x509, x510, x511, x512) -> l10(x513, x514, x515, x516, x517, x518, x519, x520, x521, x522, x523, x524, x525, x526, x527, x528, x529, x530, x531) :|: x512 = x531 && x511 = x530 && x510 = x529 && x509 = x528 && x508 = x527 && x505 = x524 && x506 = x525 && x504 = x523 && x507 = x526 && x503 = x522 && x502 = x521 && x501 = x520 && x500 = x519 && x499 = x518 && x498 = x517 && x497 = x516 && x496 = x515 && x495 = x514 && x494 = x513 && x495 <= x497
(16) l5(x532, x533, x534, x535, x536, x537, x538, x539, x540, x541, x542, x543, x544, x545, x546, x547, x548, x549, x550) -> l7(x551, x552, x553, x554, x555, x556, x557, x558, x559, x560, x561, x562, x563, x564, x565, x566, x567, x568, x569) :|: x550 = x569 && x549 = x568 && x548 = x567 && x547 = x566 && x546 = x565 && x543 = x562 && x544 = x563 && x542 = x561 && x545 = x564 && x541 = x560 && x540 = x559 && x539 = x558 && x537 = x556 && x535 = x554 && x533 = x552 && x532 = x551 && x557 = x548 && x555 = x549 && x553 = x550 && 1 + x550 <= x548
(17) l5(x570, x571, x572, x573, x574, x575, x576, x577, x578, x579, x580, x581, x582, x583, x584, x585, x586, x587, x588) -> l11(x589, x590, x591, x592, x593, x594, x595, x596, x597, x598, x599, x600, x601, x602, x603, x604, x605, x606, x607) :|: x588 = x607 && x587 = x606 && x586 = x605 && x585 = x604 && x584 = x603 && x581 = x600 && x582 = x601 && x580 = x599 && x583 = x602 && x579 = x598 && x578 = x597 && x577 = x596 && x576 = x595 && x574 = x593 && x572 = x591 && x570 = x589 && x594 = x588 && x592 = x587 && x590 = x586 && x586 <= x588
(18) l3(x608, x609, x610, x611, x612, x613, x614, x615, x616, x617, x618, x619, x620, x621, x622, x623, x624, x625, x626) -> l0(x627, x628, x629, x630, x631, x632, x633, x634, x635, x636, x637, x638, x639, x640, x641, x642, x643, x644, x645) :|: x626 = x645 && x625 = x644 && x624 = x643 && x622 = x641 && x619 = x638 && x620 = x639 && x618 = x637 && x621 = x640 && x617 = x636 && x616 = x635 && x615 = x634 && x614 = x633 && x613 = x632 && x612 = x631 && x611 = x630 && x610 = x629 && x609 = x628 && x608 = x627 && x642 = x625 - x626 && 1 + x626 <= x625
(19) l3(x646, x647, x648, x649, x650, x651, x652, x653, x654, x655, x656, x657, x658, x659, x660, x661, x662, x663, x664) -> l0(x665, x666, x667, x668, x669, x670, x671, x672, x673, x674, x675, x676, x677, x678, x679, x680, x681, x682, x683) :|: x664 = x683 && x663 = x682 && x662 = x681 && x660 = x679 && x657 = x676 && x658 = x677 && x656 = x675 && x659 = x678 && x655 = x674 && x654 = x673 && x653 = x672 && x652 = x671 && x651 = x670 && x650 = x669 && x649 = x668 && x648 = x667 && x647 = x666 && x646 = x665 && x680 = x663 + x664 && x663 <= x664
(20) l12(x684, x685, x686, x687, x688, x689, x690, x691, x692, x693, x694, x695, x696, x697, x698, x699, x700, x701, x702) -> l4(x703, x704, x705, x706, x707, x708, x709, x710, x711, x712, x713, x714, x715, x716, x717, x718, x719, x720, x721) :|: x699 = x718 && x698 = x717 && x695 = x714 && x696 = x715 && x694 = x713 && x697 = x716 && x693 = x712 && x692 = x711 && x691 = x710 && x690 = x709 && x689 = x708 && x688 = x707 && x687 = x706 && x686 = x705 && x685 = x704 && x684 = x703 && x721 = 1 && x720 = 2 && x719 = x684
(21) l13(x722, x723, x724, x725, x726, x727, x728, x729, x730, x731, x732, x733, x734, x735, x736, x737, x738, x739, x740) -> l12(x741, x742, x743, x744, x745, x746, x747, x748, x749, x750, x751, x752, x753, x754, x755, x756, x757, x758, x759) :|: x740 = x759 && x739 = x758 && x738 = x757 && x737 = x756 && x736 = x755 && x733 = x752 && x734 = x753 && x732 = x751 && x735 = x754 && x731 = x750 && x730 = x749 && x729 = x748 && x728 = x747 && x727 = x746 && x726 = x745 && x725 = x744 && x724 = x743 && x723 = x742 && x722 = x741

Arcs:
(2) -> (18), (19)
(3) -> (16), (17)
(4) -> (18), (19)
(5) -> (2)
(6) -> (2)
(7) -> (5), (6)
(8) -> (5), (6)
(9) -> (11)
(10) -> (11)
(11) -> (18), (19)
(12) -> (11)
(13) -> (11)
(14) -> (9), (10)
(15) -> (12), (13)
(16) -> (7), (8)
(17) -> (14), (15)
(18) -> (1)
(19) -> (1)
(20) -> (3), (4)
(21) -> (20)

This digraph is fully evaluated!
----------------------------------------

(4)
TRUE