NO proof of prog.inttrs # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination of the given IRSwT could be disproven: (0) IRSwT (1) IRSFormatTransformerProof [EQUIVALENT, 0 ms] (2) IRSwT (3) IRSwTTerminationDigraphProof [EQUIVALENT, 23.9 s] (4) IRSwT (5) IntTRSCompressionProof [EQUIVALENT, 413 ms] (6) IRSwT (7) IntTRSUnneededArgumentFilterProof [EQUIVALENT, 0 ms] (8) IRSwT (9) FilterProof [EQUIVALENT, 0 ms] (10) IntTRS (11) IntTRSPeriodicNontermProof [COMPLETE, 3 ms] (12) NO ---------------------------------------- (0) Obligation: Rules: l0(__disjvr_0HAT0, __disjvr_10HAT0, __disjvr_11HAT0, __disjvr_12HAT0, __disjvr_13HAT0, __disjvr_14HAT0, __disjvr_1HAT0, __disjvr_2HAT0, __disjvr_3HAT0, __disjvr_4HAT0, __disjvr_5HAT0, __disjvr_6HAT0, __disjvr_7HAT0, __disjvr_8HAT0, __disjvr_9HAT0, xHAT0, yHAT0) -> l1(__disjvr_0HATpost, __disjvr_10HATpost, __disjvr_11HATpost, __disjvr_12HATpost, __disjvr_13HATpost, __disjvr_14HATpost, __disjvr_1HATpost, __disjvr_2HATpost, __disjvr_3HATpost, __disjvr_4HATpost, __disjvr_5HATpost, __disjvr_6HATpost, __disjvr_7HATpost, __disjvr_8HATpost, __disjvr_9HATpost, xHATpost, yHATpost) :|: yHAT0 = yHATpost && xHAT0 = xHATpost && __disjvr_9HAT0 = __disjvr_9HATpost && __disjvr_8HAT0 = __disjvr_8HATpost && __disjvr_7HAT0 = __disjvr_7HATpost && __disjvr_6HAT0 = __disjvr_6HATpost && __disjvr_5HAT0 = __disjvr_5HATpost && __disjvr_4HAT0 = __disjvr_4HATpost && __disjvr_3HAT0 = __disjvr_3HATpost && __disjvr_2HAT0 = __disjvr_2HATpost && __disjvr_14HAT0 = __disjvr_14HATpost && __disjvr_13HAT0 = __disjvr_13HATpost && __disjvr_12HAT0 = __disjvr_12HATpost && __disjvr_11HAT0 = __disjvr_11HATpost && __disjvr_10HAT0 = __disjvr_10HATpost && __disjvr_1HAT0 = __disjvr_1HATpost && __disjvr_0HAT0 = __disjvr_0HATpost l1(x, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16) -> l3(x17, x18, x19, x20, x21, x22, x23, x24, x25, x26, x27, x28, x29, x30, x31, x32, x33) :|: x16 = x33 && x15 = x32 && x14 = x31 && x13 = x30 && x12 = x29 && x11 = x28 && x10 = x27 && x9 = x26 && x8 = x25 && x7 = x24 && x5 = x22 && x4 = x21 && x3 = x20 && x2 = x19 && x1 = x18 && x6 = x23 && x = x17 && x17 = x l3(x34, x35, x36, x37, x38, x39, x40, x41, x42, x43, x44, x45, x46, x47, x48, x49, x50) -> l4(x51, x52, x53, x54, x55, x56, x57, x58, x59, x60, x61, x62, x63, x64, x65, x66, x67) :|: x50 = x67 && x48 = x65 && x47 = x64 && x46 = x63 && x45 = x62 && x44 = x61 && x43 = x60 && x42 = x59 && x41 = x58 && x39 = x56 && x38 = x55 && x37 = x54 && x36 = x53 && x35 = x52 && x40 = x57 && x34 = x51 && x66 = x50 && 0 <= x49 && x49 <= 0 l4(x68, x69, x70, x71, x72, x73, x74, x75, x76, x77, x78, x79, x80, x81, x82, x83, x84) -> l5(x85, x86, x87, x88, x89, x90, x91, x92, x93, x94, x95, x96, x97, x98, x99, x100, x101) :|: x84 = x101 && x83 = x100 && x82 = x99 && x81 = x98 && x80 = x97 && x79 = x96 && x78 = x95 && x77 = x94 && x76 = x93 && x75 = x92 && x73 = x90 && x72 = x89 && x71 = x88 && x70 = x87 && x69 = x86 && x74 = x91 && x68 = x85 && x91 = x74 l5(x102, x103, x104, x105, x106, x107, x108, x109, x110, x111, x112, x113, x114, x115, x116, x117, x118) -> l6(x119, x120, x121, x122, x123, x124, x125, x126, x127, x128, x129, x130, x131, x132, x133, x134, x135) :|: x118 = x135 && x117 = x134 && x116 = x133 && x115 = x132 && x114 = x131 && x113 = x130 && x112 = x129 && x111 = x128 && x110 = x127 && x109 = x126 && x107 = x124 && x106 = x123 && x105 = x122 && x104 = x121 && x103 = x120 && x108 = x125 && x102 = x119 && x126 = x109 l6(x136, x137, x138, x139, x140, x141, x142, x143, x144, x145, x146, x147, x148, x149, x150, x151, x152) -> l7(x153, x154, x155, x156, x157, x158, x159, x160, x161, x162, x163, x164, x165, x166, x167, x168, x169) :|: x152 = x169 && x151 = x168 && x150 = x167 && x149 = x166 && x148 = x165 && x147 = x164 && x146 = x163 && x145 = x162 && x144 = x161 && x143 = x160 && x141 = x158 && x140 = x157 && x139 = x156 && x138 = x155 && x137 = x154 && x142 = x159 && x136 = x153 && x161 = x144 l7(x170, x171, x172, x173, x174, x175, x176, x177, x178, x179, x180, x181, x182, x183, x184, x185, x186) -> l8(x187, x188, x189, x190, x191, x192, x193, x194, x195, x196, x197, x198, x199, x200, x201, x202, x203) :|: x186 = x203 && x185 = x202 && x184 = x201 && x183 = x200 && x182 = x199 && x181 = x198 && x180 = x197 && x179 = x196 && x178 = x195 && x177 = x194 && x175 = x192 && x174 = x191 && x173 = x190 && x172 = x189 && x171 = x188 && x176 = x193 && x170 = x187 && x196 = x179 l8(x204, x205, x206, x207, x208, x209, x210, x211, x212, x213, x214, x215, x216, x217, x218, x219, x220) -> l9(x221, x222, x223, x224, x225, x226, x227, x228, x229, x230, x231, x232, x233, x234, x235, x236, x237) :|: x220 = x237 && x219 = x236 && x218 = x235 && x217 = x234 && x216 = x233 && x215 = x232 && x214 = x231 && x213 = x230 && x212 = x229 && x211 = x228 && x209 = x226 && x208 = x225 && x207 = x224 && x206 = x223 && x205 = x222 && x210 = x227 && x204 = x221 && x231 = x214 l9(x238, x239, x240, x241, x242, x243, x244, x245, x246, x247, x248, x249, x250, x251, x252, x253, x254) -> l10(x255, x256, x257, x258, x259, x260, x261, x262, x263, x264, x265, x266, x267, x268, x269, x270, x271) :|: x254 = x271 && x253 = x270 && x252 = x269 && x251 = x268 && x250 = x267 && x249 = x266 && x248 = x265 && x247 = x264 && x246 = x263 && x245 = x262 && x243 = x260 && x242 = x259 && x241 = x258 && x240 = x257 && x239 = x256 && x244 = x261 && x238 = x255 && x266 = x249 l10(x272, x273, x274, x275, x276, x277, x278, x279, x280, x281, x282, x283, x284, x285, x286, x287, x288) -> l11(x289, x290, x291, x292, x293, x294, x295, x296, x297, x298, x299, x300, x301, x302, x303, x304, x305) :|: x288 = x305 && x287 = x304 && x286 = x303 && x285 = x302 && x284 = x301 && x283 = x300 && x282 = x299 && x281 = x298 && x280 = x297 && x279 = x296 && x277 = x294 && x276 = x293 && x275 = x292 && x274 = x291 && x273 = x290 && x278 = x295 && x272 = x289 && x301 = x284 l11(x306, x307, x308, x309, x310, x311, x312, x313, x314, x315, x316, x317, x318, x319, x320, x321, x322) -> l12(x323, x324, x325, x326, x327, x328, x329, x330, x331, x332, x333, x334, x335, x336, x337, x338, x339) :|: x322 = x339 && x321 = x338 && x320 = x337 && x319 = x336 && x318 = x335 && x317 = x334 && x316 = x333 && x315 = x332 && x314 = x331 && x313 = x330 && x311 = x328 && x310 = x327 && x309 = x326 && x308 = x325 && x307 = x324 && x312 = x329 && x306 = x323 && x336 = x319 l12(x340, x341, x342, x343, x344, x345, x346, x347, x348, x349, x350, x351, x352, x353, x354, x355, x356) -> l13(x357, x358, x359, x360, x361, x362, x363, x364, x365, x366, x367, x368, x369, x370, x371, x372, x373) :|: x356 = x373 && x355 = x372 && x354 = x371 && x353 = x370 && x352 = x369 && x351 = x368 && x350 = x367 && x349 = x366 && x348 = x365 && x347 = x364 && x345 = x362 && x344 = x361 && x343 = x360 && x342 = x359 && x341 = x358 && x346 = x363 && x340 = x357 && x371 = x354 l13(x374, x375, x376, x377, x378, x379, x380, x381, x382, x383, x384, x385, x386, x387, x388, x389, x390) -> l14(x391, x392, x393, x394, x395, x396, x397, x398, x399, x400, x401, x402, x403, x404, x405, x406, x407) :|: x390 = x407 && x389 = x406 && x388 = x405 && x387 = x404 && x386 = x403 && x385 = x402 && x384 = x401 && x383 = x400 && x382 = x399 && x381 = x398 && x379 = x396 && x378 = x395 && x377 = x394 && x376 = x393 && x375 = x392 && x380 = x397 && x374 = x391 && x392 = x375 l14(x408, x409, x410, x411, x412, x413, x414, x415, x416, x417, x418, x419, x420, x421, x422, x423, x424) -> l15(x425, x426, x427, x428, x429, x430, x431, x432, x433, x434, x435, x436, x437, x438, x439, x440, x441) :|: x424 = x441 && x423 = x440 && x422 = x439 && x421 = x438 && x420 = x437 && x419 = x436 && x418 = x435 && x417 = x434 && x416 = x433 && x415 = x432 && x413 = x430 && x412 = x429 && x411 = x428 && x410 = x427 && x409 = x426 && x414 = x431 && x408 = x425 && x427 = x410 l15(x442, x443, x444, x445, x446, x447, x448, x449, x450, x451, x452, x453, x454, x455, x456, x457, x458) -> l16(x459, x460, x461, x462, x463, x464, x465, x466, x467, x468, x469, x470, x471, x472, x473, x474, x475) :|: x458 = x475 && x457 = x474 && x456 = x473 && x455 = x472 && x454 = x471 && x453 = x470 && x452 = x469 && x451 = x468 && x450 = x467 && x449 = x466 && x447 = x464 && x446 = x463 && x445 = x462 && x444 = x461 && x443 = x460 && x448 = x465 && x442 = x459 && x462 = x445 l16(x476, x477, x478, x479, x480, x481, x482, x483, x484, x485, x486, x487, x488, x489, x490, x491, x492) -> l17(x493, x494, x495, x496, x497, x498, x499, x500, x501, x502, x503, x504, x505, x506, x507, x508, x509) :|: x492 = x509 && x491 = x508 && x490 = x507 && x489 = x506 && x488 = x505 && x487 = x504 && x486 = x503 && x485 = x502 && x484 = x501 && x483 = x500 && x481 = x498 && x480 = x497 && x479 = x496 && x478 = x495 && x477 = x494 && x482 = x499 && x476 = x493 && x497 = x480 l17(x510, x511, x512, x513, x514, x515, x516, x517, x518, x519, x520, x521, x522, x523, x524, x525, x526) -> l2(x527, x528, x529, x530, x531, x532, x533, x534, x535, x536, x537, x538, x539, x540, x541, x542, x543) :|: x526 = x543 && x525 = x542 && x524 = x541 && x523 = x540 && x522 = x539 && x521 = x538 && x520 = x537 && x519 = x536 && x518 = x535 && x517 = x534 && x515 = x532 && x514 = x531 && x513 = x530 && x512 = x529 && x511 = x528 && x516 = x533 && x510 = x527 && x532 = x515 l2(x544, x545, x546, x547, x548, x549, x550, x551, x552, x553, x554, x555, x556, x557, x558, x559, x560) -> l1(x561, x562, x563, x564, x565, x566, x567, x568, x569, x570, x571, x572, x573, x574, x575, x576, x577) :|: x560 = x577 && x559 = x576 && x558 = x575 && x557 = x574 && x556 = x573 && x555 = x572 && x554 = x571 && x553 = x570 && x552 = x569 && x551 = x568 && x549 = x566 && x548 = x565 && x547 = x564 && x546 = x563 && x545 = x562 && x550 = x567 && x544 = x561 l18(x578, x579, x580, x581, x582, x583, x584, x585, x586, x587, x588, x589, x590, x591, x592, x593, x594) -> l0(x595, x596, x597, x598, x599, x600, x601, x602, x603, x604, x605, x606, x607, x608, x609, x610, x611) :|: x594 = x611 && x593 = x610 && x592 = x609 && x591 = x608 && x590 = x607 && x589 = x606 && x588 = x605 && x587 = x604 && x586 = x603 && x585 = x602 && x583 = x600 && x582 = x599 && x581 = x598 && x580 = x597 && x579 = x596 && x584 = x601 && x578 = x595 Start term: l18(__disjvr_0HAT0, __disjvr_10HAT0, __disjvr_11HAT0, __disjvr_12HAT0, __disjvr_13HAT0, __disjvr_14HAT0, __disjvr_1HAT0, __disjvr_2HAT0, __disjvr_3HAT0, __disjvr_4HAT0, __disjvr_5HAT0, __disjvr_6HAT0, __disjvr_7HAT0, __disjvr_8HAT0, __disjvr_9HAT0, xHAT0, yHAT0) ---------------------------------------- (1) IRSFormatTransformerProof (EQUIVALENT) Reformatted IRS to match normalized format (transformed away non-linear left-hand sides, !=, / and %). ---------------------------------------- (2) Obligation: Rules: l0(__disjvr_0HAT0, __disjvr_10HAT0, __disjvr_11HAT0, __disjvr_12HAT0, __disjvr_13HAT0, __disjvr_14HAT0, __disjvr_1HAT0, __disjvr_2HAT0, __disjvr_3HAT0, __disjvr_4HAT0, __disjvr_5HAT0, __disjvr_6HAT0, __disjvr_7HAT0, __disjvr_8HAT0, __disjvr_9HAT0, xHAT0, yHAT0) -> l1(__disjvr_0HATpost, __disjvr_10HATpost, __disjvr_11HATpost, __disjvr_12HATpost, __disjvr_13HATpost, __disjvr_14HATpost, __disjvr_1HATpost, __disjvr_2HATpost, __disjvr_3HATpost, __disjvr_4HATpost, __disjvr_5HATpost, __disjvr_6HATpost, __disjvr_7HATpost, __disjvr_8HATpost, __disjvr_9HATpost, xHATpost, yHATpost) :|: yHAT0 = yHATpost && xHAT0 = xHATpost && __disjvr_9HAT0 = __disjvr_9HATpost && __disjvr_8HAT0 = __disjvr_8HATpost && __disjvr_7HAT0 = __disjvr_7HATpost && __disjvr_6HAT0 = __disjvr_6HATpost && __disjvr_5HAT0 = __disjvr_5HATpost && __disjvr_4HAT0 = __disjvr_4HATpost && __disjvr_3HAT0 = __disjvr_3HATpost && __disjvr_2HAT0 = __disjvr_2HATpost && __disjvr_14HAT0 = __disjvr_14HATpost && __disjvr_13HAT0 = __disjvr_13HATpost && __disjvr_12HAT0 = __disjvr_12HATpost && __disjvr_11HAT0 = __disjvr_11HATpost && __disjvr_10HAT0 = __disjvr_10HATpost && __disjvr_1HAT0 = __disjvr_1HATpost && __disjvr_0HAT0 = __disjvr_0HATpost l1(x, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16) -> l3(x17, x18, x19, x20, x21, x22, x23, x24, x25, x26, x27, x28, x29, x30, x31, x32, x33) :|: x16 = x33 && x15 = x32 && x14 = x31 && x13 = x30 && x12 = x29 && x11 = x28 && x10 = x27 && x9 = x26 && x8 = x25 && x7 = x24 && x5 = x22 && x4 = x21 && x3 = x20 && x2 = x19 && x1 = x18 && x6 = x23 && x = x17 && x17 = x l3(x34, x35, x36, x37, x38, x39, x40, x41, x42, x43, x44, x45, x46, x47, x48, x49, x50) -> l4(x51, x52, x53, x54, x55, x56, x57, x58, x59, x60, x61, x62, x63, x64, x65, x66, x67) :|: x50 = x67 && x48 = x65 && x47 = x64 && x46 = x63 && x45 = x62 && x44 = x61 && x43 = x60 && x42 = x59 && x41 = x58 && x39 = x56 && x38 = x55 && x37 = x54 && x36 = x53 && x35 = x52 && x40 = x57 && x34 = x51 && x66 = x50 && 0 <= x49 && x49 <= 0 l4(x68, x69, x70, x71, x72, x73, x74, x75, x76, x77, x78, x79, x80, x81, x82, x83, x84) -> l5(x85, x86, x87, x88, x89, x90, x91, x92, x93, x94, x95, x96, x97, x98, x99, x100, x101) :|: x84 = x101 && x83 = x100 && x82 = x99 && x81 = x98 && x80 = x97 && x79 = x96 && x78 = x95 && x77 = x94 && x76 = x93 && x75 = x92 && x73 = x90 && x72 = x89 && x71 = x88 && x70 = x87 && x69 = x86 && x74 = x91 && x68 = x85 && x91 = x74 l5(x102, x103, x104, x105, x106, x107, x108, x109, x110, x111, x112, x113, x114, x115, x116, x117, x118) -> l6(x119, x120, x121, x122, x123, x124, x125, x126, x127, x128, x129, x130, x131, x132, x133, x134, x135) :|: x118 = x135 && x117 = x134 && x116 = x133 && x115 = x132 && x114 = x131 && x113 = x130 && x112 = x129 && x111 = x128 && x110 = x127 && x109 = x126 && x107 = x124 && x106 = x123 && x105 = x122 && x104 = x121 && x103 = x120 && x108 = x125 && x102 = x119 && x126 = x109 l6(x136, x137, x138, x139, x140, x141, x142, x143, x144, x145, x146, x147, x148, x149, x150, x151, x152) -> l7(x153, x154, x155, x156, x157, x158, x159, x160, x161, x162, x163, x164, x165, x166, x167, x168, x169) :|: x152 = x169 && x151 = x168 && x150 = x167 && x149 = x166 && x148 = x165 && x147 = x164 && x146 = x163 && x145 = x162 && x144 = x161 && x143 = x160 && x141 = x158 && x140 = x157 && x139 = x156 && x138 = x155 && x137 = x154 && x142 = x159 && x136 = x153 && x161 = x144 l7(x170, x171, x172, x173, x174, x175, x176, x177, x178, x179, x180, x181, x182, x183, x184, x185, x186) -> l8(x187, x188, x189, x190, x191, x192, x193, x194, x195, x196, x197, x198, x199, x200, x201, x202, x203) :|: x186 = x203 && x185 = x202 && x184 = x201 && x183 = x200 && x182 = x199 && x181 = x198 && x180 = x197 && x179 = x196 && x178 = x195 && x177 = x194 && x175 = x192 && x174 = x191 && x173 = x190 && x172 = x189 && x171 = x188 && x176 = x193 && x170 = x187 && x196 = x179 l8(x204, x205, x206, x207, x208, x209, x210, x211, x212, x213, x214, x215, x216, x217, x218, x219, x220) -> l9(x221, x222, x223, x224, x225, x226, x227, x228, x229, x230, x231, x232, x233, x234, x235, x236, x237) :|: x220 = x237 && x219 = x236 && x218 = x235 && x217 = x234 && x216 = x233 && x215 = x232 && x214 = x231 && x213 = x230 && x212 = x229 && x211 = x228 && x209 = x226 && x208 = x225 && x207 = x224 && x206 = x223 && x205 = x222 && x210 = x227 && x204 = x221 && x231 = x214 l9(x238, x239, x240, x241, x242, x243, x244, x245, x246, x247, x248, x249, x250, x251, x252, x253, x254) -> l10(x255, x256, x257, x258, x259, x260, x261, x262, x263, x264, x265, x266, x267, x268, x269, x270, x271) :|: x254 = x271 && x253 = x270 && x252 = x269 && x251 = x268 && x250 = x267 && x249 = x266 && x248 = x265 && x247 = x264 && x246 = x263 && x245 = x262 && x243 = x260 && x242 = x259 && x241 = x258 && x240 = x257 && x239 = x256 && x244 = x261 && x238 = x255 && x266 = x249 l10(x272, x273, x274, x275, x276, x277, x278, x279, x280, x281, x282, x283, x284, x285, x286, x287, x288) -> l11(x289, x290, x291, x292, x293, x294, x295, x296, x297, x298, x299, x300, x301, x302, x303, x304, x305) :|: x288 = x305 && x287 = x304 && x286 = x303 && x285 = x302 && x284 = x301 && x283 = x300 && x282 = x299 && x281 = x298 && x280 = x297 && x279 = x296 && x277 = x294 && x276 = x293 && x275 = x292 && x274 = x291 && x273 = x290 && x278 = x295 && x272 = x289 && x301 = x284 l11(x306, x307, x308, x309, x310, x311, x312, x313, x314, x315, x316, x317, x318, x319, x320, x321, x322) -> l12(x323, x324, x325, x326, x327, x328, x329, x330, x331, x332, x333, x334, x335, x336, x337, x338, x339) :|: x322 = x339 && x321 = x338 && x320 = x337 && x319 = x336 && x318 = x335 && x317 = x334 && x316 = x333 && x315 = x332 && x314 = x331 && x313 = x330 && x311 = x328 && x310 = x327 && x309 = x326 && x308 = x325 && x307 = x324 && x312 = x329 && x306 = x323 && x336 = x319 l12(x340, x341, x342, x343, x344, x345, x346, x347, x348, x349, x350, x351, x352, x353, x354, x355, x356) -> l13(x357, x358, x359, x360, x361, x362, x363, x364, x365, x366, x367, x368, x369, x370, x371, x372, x373) :|: x356 = x373 && x355 = x372 && x354 = x371 && x353 = x370 && x352 = x369 && x351 = x368 && x350 = x367 && x349 = x366 && x348 = x365 && x347 = x364 && x345 = x362 && x344 = x361 && x343 = x360 && x342 = x359 && x341 = x358 && x346 = x363 && x340 = x357 && x371 = x354 l13(x374, x375, x376, x377, x378, x379, x380, x381, x382, x383, x384, x385, x386, x387, x388, x389, x390) -> l14(x391, x392, x393, x394, x395, x396, x397, x398, x399, x400, x401, x402, x403, x404, x405, x406, x407) :|: x390 = x407 && x389 = x406 && x388 = x405 && x387 = x404 && x386 = x403 && x385 = x402 && x384 = x401 && x383 = x400 && x382 = x399 && x381 = x398 && x379 = x396 && x378 = x395 && x377 = x394 && x376 = x393 && x375 = x392 && x380 = x397 && x374 = x391 && x392 = x375 l14(x408, x409, x410, x411, x412, x413, x414, x415, x416, x417, x418, x419, x420, x421, x422, x423, x424) -> l15(x425, x426, x427, x428, x429, x430, x431, x432, x433, x434, x435, x436, x437, x438, x439, x440, x441) :|: x424 = x441 && x423 = x440 && x422 = x439 && x421 = x438 && x420 = x437 && x419 = x436 && x418 = x435 && x417 = x434 && x416 = x433 && x415 = x432 && x413 = x430 && x412 = x429 && x411 = x428 && x410 = x427 && x409 = x426 && x414 = x431 && x408 = x425 && x427 = x410 l15(x442, x443, x444, x445, x446, x447, x448, x449, x450, x451, x452, x453, x454, x455, x456, x457, x458) -> l16(x459, x460, x461, x462, x463, x464, x465, x466, x467, x468, x469, x470, x471, x472, x473, x474, x475) :|: x458 = x475 && x457 = x474 && x456 = x473 && x455 = x472 && x454 = x471 && x453 = x470 && x452 = x469 && x451 = x468 && x450 = x467 && x449 = x466 && x447 = x464 && x446 = x463 && x445 = x462 && x444 = x461 && x443 = x460 && x448 = x465 && x442 = x459 && x462 = x445 l16(x476, x477, x478, x479, x480, x481, x482, x483, x484, x485, x486, x487, x488, x489, x490, x491, x492) -> l17(x493, x494, x495, x496, x497, x498, x499, x500, x501, x502, x503, x504, x505, x506, x507, x508, x509) :|: x492 = x509 && x491 = x508 && x490 = x507 && x489 = x506 && x488 = x505 && x487 = x504 && x486 = x503 && x485 = x502 && x484 = x501 && x483 = x500 && x481 = x498 && x480 = x497 && x479 = x496 && x478 = x495 && x477 = x494 && x482 = x499 && x476 = x493 && x497 = x480 l17(x510, x511, x512, x513, x514, x515, x516, x517, x518, x519, x520, x521, x522, x523, x524, x525, x526) -> l2(x527, x528, x529, x530, x531, x532, x533, x534, x535, x536, x537, x538, x539, x540, x541, x542, x543) :|: x526 = x543 && x525 = x542 && x524 = x541 && x523 = x540 && x522 = x539 && x521 = x538 && x520 = x537 && x519 = x536 && x518 = x535 && x517 = x534 && x515 = x532 && x514 = x531 && x513 = x530 && x512 = x529 && x511 = x528 && x516 = x533 && x510 = x527 && x532 = x515 l2(x544, x545, x546, x547, x548, x549, x550, x551, x552, x553, x554, x555, x556, x557, x558, x559, x560) -> l1(x561, x562, x563, x564, x565, x566, x567, x568, x569, x570, x571, x572, x573, x574, x575, x576, x577) :|: x560 = x577 && x559 = x576 && x558 = x575 && x557 = x574 && x556 = x573 && x555 = x572 && x554 = x571 && x553 = x570 && x552 = x569 && x551 = x568 && x549 = x566 && x548 = x565 && x547 = x564 && x546 = x563 && x545 = x562 && x550 = x567 && x544 = x561 l18(x578, x579, x580, x581, x582, x583, x584, x585, x586, x587, x588, x589, x590, x591, x592, x593, x594) -> l0(x595, x596, x597, x598, x599, x600, x601, x602, x603, x604, x605, x606, x607, x608, x609, x610, x611) :|: x594 = x611 && x593 = x610 && x592 = x609 && x591 = x608 && x590 = x607 && x589 = x606 && x588 = x605 && x587 = x604 && x586 = x603 && x585 = x602 && x583 = x600 && x582 = x599 && x581 = x598 && x580 = x597 && x579 = x596 && x584 = x601 && x578 = x595 Start term: l18(__disjvr_0HAT0, __disjvr_10HAT0, __disjvr_11HAT0, __disjvr_12HAT0, __disjvr_13HAT0, __disjvr_14HAT0, __disjvr_1HAT0, __disjvr_2HAT0, __disjvr_3HAT0, __disjvr_4HAT0, __disjvr_5HAT0, __disjvr_6HAT0, __disjvr_7HAT0, __disjvr_8HAT0, __disjvr_9HAT0, xHAT0, yHAT0) ---------------------------------------- (3) IRSwTTerminationDigraphProof (EQUIVALENT) Constructed termination digraph! Nodes: (1) l0(__disjvr_0HAT0, __disjvr_10HAT0, __disjvr_11HAT0, __disjvr_12HAT0, __disjvr_13HAT0, __disjvr_14HAT0, __disjvr_1HAT0, __disjvr_2HAT0, __disjvr_3HAT0, __disjvr_4HAT0, __disjvr_5HAT0, __disjvr_6HAT0, __disjvr_7HAT0, __disjvr_8HAT0, __disjvr_9HAT0, xHAT0, yHAT0) -> l1(__disjvr_0HATpost, __disjvr_10HATpost, __disjvr_11HATpost, __disjvr_12HATpost, __disjvr_13HATpost, __disjvr_14HATpost, __disjvr_1HATpost, __disjvr_2HATpost, __disjvr_3HATpost, __disjvr_4HATpost, __disjvr_5HATpost, __disjvr_6HATpost, __disjvr_7HATpost, __disjvr_8HATpost, __disjvr_9HATpost, xHATpost, yHATpost) :|: yHAT0 = yHATpost && xHAT0 = xHATpost && __disjvr_9HAT0 = __disjvr_9HATpost && __disjvr_8HAT0 = __disjvr_8HATpost && __disjvr_7HAT0 = __disjvr_7HATpost && __disjvr_6HAT0 = __disjvr_6HATpost && __disjvr_5HAT0 = __disjvr_5HATpost && __disjvr_4HAT0 = __disjvr_4HATpost && __disjvr_3HAT0 = __disjvr_3HATpost && __disjvr_2HAT0 = __disjvr_2HATpost && __disjvr_14HAT0 = __disjvr_14HATpost && __disjvr_13HAT0 = __disjvr_13HATpost && __disjvr_12HAT0 = __disjvr_12HATpost && __disjvr_11HAT0 = __disjvr_11HATpost && __disjvr_10HAT0 = __disjvr_10HATpost && __disjvr_1HAT0 = __disjvr_1HATpost && __disjvr_0HAT0 = __disjvr_0HATpost (2) l1(x, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16) -> l3(x17, x18, x19, x20, x21, x22, x23, x24, x25, x26, x27, x28, x29, x30, x31, x32, x33) :|: x16 = x33 && x15 = x32 && x14 = x31 && x13 = x30 && x12 = x29 && x11 = x28 && x10 = x27 && x9 = x26 && x8 = x25 && x7 = x24 && x5 = x22 && x4 = x21 && x3 = x20 && x2 = x19 && x1 = x18 && x6 = x23 && x = x17 && x17 = x (3) l3(x34, x35, x36, x37, x38, x39, x40, x41, x42, x43, x44, x45, x46, x47, x48, x49, x50) -> l4(x51, x52, x53, x54, x55, x56, x57, x58, x59, x60, x61, x62, x63, x64, x65, x66, x67) :|: x50 = x67 && x48 = x65 && x47 = x64 && x46 = x63 && x45 = x62 && x44 = x61 && x43 = x60 && x42 = x59 && x41 = x58 && x39 = x56 && x38 = x55 && x37 = x54 && x36 = x53 && x35 = x52 && x40 = x57 && x34 = x51 && x66 = x50 && 0 <= x49 && x49 <= 0 (4) l4(x68, x69, x70, x71, x72, x73, x74, x75, x76, x77, x78, x79, x80, x81, x82, x83, x84) -> l5(x85, x86, x87, x88, x89, x90, x91, x92, x93, x94, x95, x96, x97, x98, x99, x100, x101) :|: x84 = x101 && x83 = x100 && x82 = x99 && x81 = x98 && x80 = x97 && x79 = x96 && x78 = x95 && x77 = x94 && x76 = x93 && x75 = x92 && x73 = x90 && x72 = x89 && x71 = x88 && x70 = x87 && x69 = x86 && x74 = x91 && x68 = x85 && x91 = x74 (5) l5(x102, x103, x104, x105, x106, x107, x108, x109, x110, x111, x112, x113, x114, x115, x116, x117, x118) -> l6(x119, x120, x121, x122, x123, x124, x125, x126, x127, x128, x129, x130, x131, x132, x133, x134, x135) :|: x118 = x135 && x117 = x134 && x116 = x133 && x115 = x132 && x114 = x131 && x113 = x130 && x112 = x129 && x111 = x128 && x110 = x127 && x109 = x126 && x107 = x124 && x106 = x123 && x105 = x122 && x104 = x121 && x103 = x120 && x108 = x125 && x102 = x119 && x126 = x109 (6) l6(x136, x137, x138, x139, x140, x141, x142, x143, x144, x145, x146, x147, x148, x149, x150, x151, x152) -> l7(x153, x154, x155, x156, x157, x158, x159, x160, x161, x162, x163, x164, x165, x166, x167, x168, x169) :|: x152 = x169 && x151 = x168 && x150 = x167 && x149 = x166 && x148 = x165 && x147 = x164 && x146 = x163 && x145 = x162 && x144 = x161 && x143 = x160 && x141 = x158 && x140 = x157 && x139 = x156 && x138 = x155 && x137 = x154 && x142 = x159 && x136 = x153 && x161 = x144 (7) l7(x170, x171, x172, x173, x174, x175, x176, x177, x178, x179, x180, x181, x182, x183, x184, x185, x186) -> l8(x187, x188, x189, x190, x191, x192, x193, x194, x195, x196, x197, x198, x199, x200, x201, x202, x203) :|: x186 = x203 && x185 = x202 && x184 = x201 && x183 = x200 && x182 = x199 && x181 = x198 && x180 = x197 && x179 = x196 && x178 = x195 && x177 = x194 && x175 = x192 && x174 = x191 && x173 = x190 && x172 = x189 && x171 = x188 && x176 = x193 && x170 = x187 && x196 = x179 (8) l8(x204, x205, x206, x207, x208, x209, x210, x211, x212, x213, x214, x215, x216, x217, x218, x219, x220) -> l9(x221, x222, x223, x224, x225, x226, x227, x228, x229, x230, x231, x232, x233, x234, x235, x236, x237) :|: x220 = x237 && x219 = x236 && x218 = x235 && x217 = x234 && x216 = x233 && x215 = x232 && x214 = x231 && x213 = x230 && x212 = x229 && x211 = x228 && x209 = x226 && x208 = x225 && x207 = x224 && x206 = x223 && x205 = x222 && x210 = x227 && x204 = x221 && x231 = x214 (9) l9(x238, x239, x240, x241, x242, x243, x244, x245, x246, x247, x248, x249, x250, x251, x252, x253, x254) -> l10(x255, x256, x257, x258, x259, x260, x261, x262, x263, x264, x265, x266, x267, x268, x269, x270, x271) :|: x254 = x271 && x253 = x270 && x252 = x269 && x251 = x268 && x250 = x267 && x249 = x266 && x248 = x265 && x247 = x264 && x246 = x263 && x245 = x262 && x243 = x260 && x242 = x259 && x241 = x258 && x240 = x257 && x239 = x256 && x244 = x261 && x238 = x255 && x266 = x249 (10) l10(x272, x273, x274, x275, x276, x277, x278, x279, x280, x281, x282, x283, x284, x285, x286, x287, x288) -> l11(x289, x290, x291, x292, x293, x294, x295, x296, x297, x298, x299, x300, x301, x302, x303, x304, x305) :|: x288 = x305 && x287 = x304 && x286 = x303 && x285 = x302 && x284 = x301 && x283 = x300 && x282 = x299 && x281 = x298 && x280 = x297 && x279 = x296 && x277 = x294 && x276 = x293 && x275 = x292 && x274 = x291 && x273 = x290 && x278 = x295 && x272 = x289 && x301 = x284 (11) l11(x306, x307, x308, x309, x310, x311, x312, x313, x314, x315, x316, x317, x318, x319, x320, x321, x322) -> l12(x323, x324, x325, x326, x327, x328, x329, x330, x331, x332, x333, x334, x335, x336, x337, x338, x339) :|: x322 = x339 && x321 = x338 && x320 = x337 && x319 = x336 && x318 = x335 && x317 = x334 && x316 = x333 && x315 = x332 && x314 = x331 && x313 = x330 && x311 = x328 && x310 = x327 && x309 = x326 && x308 = x325 && x307 = x324 && x312 = x329 && x306 = x323 && x336 = x319 (12) l12(x340, x341, x342, x343, x344, x345, x346, x347, x348, x349, x350, x351, x352, x353, x354, x355, x356) -> l13(x357, x358, x359, x360, x361, x362, x363, x364, x365, x366, x367, x368, x369, x370, x371, x372, x373) :|: x356 = x373 && x355 = x372 && x354 = x371 && x353 = x370 && x352 = x369 && x351 = x368 && x350 = x367 && x349 = x366 && x348 = x365 && x347 = x364 && x345 = x362 && x344 = x361 && x343 = x360 && x342 = x359 && x341 = x358 && x346 = x363 && x340 = x357 && x371 = x354 (13) l13(x374, x375, x376, x377, x378, x379, x380, x381, x382, x383, x384, x385, x386, x387, x388, x389, x390) -> l14(x391, x392, x393, x394, x395, x396, x397, x398, x399, x400, x401, x402, x403, x404, x405, x406, x407) :|: x390 = x407 && x389 = x406 && x388 = x405 && x387 = x404 && x386 = x403 && x385 = x402 && x384 = x401 && x383 = x400 && x382 = x399 && x381 = x398 && x379 = x396 && x378 = x395 && x377 = x394 && x376 = x393 && x375 = x392 && x380 = x397 && x374 = x391 && x392 = x375 (14) l14(x408, x409, x410, x411, x412, x413, x414, x415, x416, x417, x418, x419, x420, x421, x422, x423, x424) -> l15(x425, x426, x427, x428, x429, x430, x431, x432, x433, x434, x435, x436, x437, x438, x439, x440, x441) :|: x424 = x441 && x423 = x440 && x422 = x439 && x421 = x438 && x420 = x437 && x419 = x436 && x418 = x435 && x417 = x434 && x416 = x433 && x415 = x432 && x413 = x430 && x412 = x429 && x411 = x428 && x410 = x427 && x409 = x426 && x414 = x431 && x408 = x425 && x427 = x410 (15) l15(x442, x443, x444, x445, x446, x447, x448, x449, x450, x451, x452, x453, x454, x455, x456, x457, x458) -> l16(x459, x460, x461, x462, x463, x464, x465, x466, x467, x468, x469, x470, x471, x472, x473, x474, x475) :|: x458 = x475 && x457 = x474 && x456 = x473 && x455 = x472 && x454 = x471 && x453 = x470 && x452 = x469 && x451 = x468 && x450 = x467 && x449 = x466 && x447 = x464 && x446 = x463 && x445 = x462 && x444 = x461 && x443 = x460 && x448 = x465 && x442 = x459 && x462 = x445 (16) l16(x476, x477, x478, x479, x480, x481, x482, x483, x484, x485, x486, x487, x488, x489, x490, x491, x492) -> l17(x493, x494, x495, x496, x497, x498, x499, x500, x501, x502, x503, x504, x505, x506, x507, x508, x509) :|: x492 = x509 && x491 = x508 && x490 = x507 && x489 = x506 && x488 = x505 && x487 = x504 && x486 = x503 && x485 = x502 && x484 = x501 && x483 = x500 && x481 = x498 && x480 = x497 && x479 = x496 && x478 = x495 && x477 = x494 && x482 = x499 && x476 = x493 && x497 = x480 (17) l17(x510, x511, x512, x513, x514, x515, x516, x517, x518, x519, x520, x521, x522, x523, x524, x525, x526) -> l2(x527, x528, x529, x530, x531, x532, x533, x534, x535, x536, x537, x538, x539, x540, x541, x542, x543) :|: x526 = x543 && x525 = x542 && x524 = x541 && x523 = x540 && x522 = x539 && x521 = x538 && x520 = x537 && x519 = x536 && x518 = x535 && x517 = x534 && x515 = x532 && x514 = x531 && x513 = x530 && x512 = x529 && x511 = x528 && x516 = x533 && x510 = x527 && x532 = x515 (18) l2(x544, x545, x546, x547, x548, x549, x550, x551, x552, x553, x554, x555, x556, x557, x558, x559, x560) -> l1(x561, x562, x563, x564, x565, x566, x567, x568, x569, x570, x571, x572, x573, x574, x575, x576, x577) :|: x560 = x577 && x559 = x576 && x558 = x575 && x557 = x574 && x556 = x573 && x555 = x572 && x554 = x571 && x553 = x570 && x552 = x569 && x551 = x568 && x549 = x566 && x548 = x565 && x547 = x564 && x546 = x563 && x545 = x562 && x550 = x567 && x544 = x561 (19) l18(x578, x579, x580, x581, x582, x583, x584, x585, x586, x587, x588, x589, x590, x591, x592, x593, x594) -> l0(x595, x596, x597, x598, x599, x600, x601, x602, x603, x604, x605, x606, x607, x608, x609, x610, x611) :|: x594 = x611 && x593 = x610 && x592 = x609 && x591 = x608 && x590 = x607 && x589 = x606 && x588 = x605 && x587 = x604 && x586 = x603 && x585 = x602 && x583 = x600 && x582 = x599 && x581 = x598 && x580 = x597 && x579 = x596 && x584 = x601 && x578 = x595 Arcs: (1) -> (2) (2) -> (3) (3) -> (4) (4) -> (5) (5) -> (6) (6) -> (7) (7) -> (8) (8) -> (9) (9) -> (10) (10) -> (11) (11) -> (12) (12) -> (13) (13) -> (14) (14) -> (15) (15) -> (16) (16) -> (17) (17) -> (18) (18) -> (2) (19) -> (1) This digraph is fully evaluated! ---------------------------------------- (4) Obligation: Termination digraph: Nodes: (1) l1(x, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16) -> l3(x17, x18, x19, x20, x21, x22, x23, x24, x25, x26, x27, x28, x29, x30, x31, x32, x33) :|: x16 = x33 && x15 = x32 && x14 = x31 && x13 = x30 && x12 = x29 && x11 = x28 && x10 = x27 && x9 = x26 && x8 = x25 && x7 = x24 && x5 = x22 && x4 = x21 && x3 = x20 && x2 = x19 && x1 = x18 && x6 = x23 && x = x17 && x17 = x (2) l2(x544, x545, x546, x547, x548, x549, x550, x551, x552, x553, x554, x555, x556, x557, x558, x559, x560) -> l1(x561, x562, x563, x564, x565, x566, x567, x568, x569, x570, x571, x572, x573, x574, x575, x576, x577) :|: x560 = x577 && x559 = x576 && x558 = x575 && x557 = x574 && x556 = x573 && x555 = x572 && x554 = x571 && x553 = x570 && x552 = x569 && x551 = x568 && x549 = x566 && x548 = x565 && x547 = x564 && x546 = x563 && x545 = x562 && x550 = x567 && x544 = x561 (3) l17(x510, x511, x512, x513, x514, x515, x516, x517, x518, x519, x520, x521, x522, x523, x524, x525, x526) -> l2(x527, x528, x529, x530, x531, x532, x533, x534, x535, x536, x537, x538, x539, x540, x541, x542, x543) :|: x526 = x543 && x525 = x542 && x524 = x541 && x523 = x540 && x522 = x539 && x521 = x538 && x520 = x537 && x519 = x536 && x518 = x535 && x517 = x534 && x515 = x532 && x514 = x531 && x513 = x530 && x512 = x529 && x511 = x528 && x516 = x533 && x510 = x527 && x532 = x515 (4) l16(x476, x477, x478, x479, x480, x481, x482, x483, x484, x485, x486, x487, x488, x489, x490, x491, x492) -> l17(x493, x494, x495, x496, x497, x498, x499, x500, x501, x502, x503, x504, x505, x506, x507, x508, x509) :|: x492 = x509 && x491 = x508 && x490 = x507 && x489 = x506 && x488 = x505 && x487 = x504 && x486 = x503 && x485 = x502 && x484 = x501 && x483 = x500 && x481 = x498 && x480 = x497 && x479 = x496 && x478 = x495 && x477 = x494 && x482 = x499 && x476 = x493 && x497 = x480 (5) l15(x442, x443, x444, x445, x446, x447, x448, x449, x450, x451, x452, x453, x454, x455, x456, x457, x458) -> l16(x459, x460, x461, x462, x463, x464, x465, x466, x467, x468, x469, x470, x471, x472, x473, x474, x475) :|: x458 = x475 && x457 = x474 && x456 = x473 && x455 = x472 && x454 = x471 && x453 = x470 && x452 = x469 && x451 = x468 && x450 = x467 && x449 = x466 && x447 = x464 && x446 = x463 && x445 = x462 && x444 = x461 && x443 = x460 && x448 = x465 && x442 = x459 && x462 = x445 (6) l14(x408, x409, x410, x411, x412, x413, x414, x415, x416, x417, x418, x419, x420, x421, x422, x423, x424) -> l15(x425, x426, x427, x428, x429, x430, x431, x432, x433, x434, x435, x436, x437, x438, x439, x440, x441) :|: x424 = x441 && x423 = x440 && x422 = x439 && x421 = x438 && x420 = x437 && x419 = x436 && x418 = x435 && x417 = x434 && x416 = x433 && x415 = x432 && x413 = x430 && x412 = x429 && x411 = x428 && x410 = x427 && x409 = x426 && x414 = x431 && x408 = x425 && x427 = x410 (7) l13(x374, x375, x376, x377, x378, x379, x380, x381, x382, x383, x384, x385, x386, x387, x388, x389, x390) -> l14(x391, x392, x393, x394, x395, x396, x397, x398, x399, x400, x401, x402, x403, x404, x405, x406, x407) :|: x390 = x407 && x389 = x406 && x388 = x405 && x387 = x404 && x386 = x403 && x385 = x402 && x384 = x401 && x383 = x400 && x382 = x399 && x381 = x398 && x379 = x396 && x378 = x395 && x377 = x394 && x376 = x393 && x375 = x392 && x380 = x397 && x374 = x391 && x392 = x375 (8) l12(x340, x341, x342, x343, x344, x345, x346, x347, x348, x349, x350, x351, x352, x353, x354, x355, x356) -> l13(x357, x358, x359, x360, x361, x362, x363, x364, x365, x366, x367, x368, x369, x370, x371, x372, x373) :|: x356 = x373 && x355 = x372 && x354 = x371 && x353 = x370 && x352 = x369 && x351 = x368 && x350 = x367 && x349 = x366 && x348 = x365 && x347 = x364 && x345 = x362 && x344 = x361 && x343 = x360 && x342 = x359 && x341 = x358 && x346 = x363 && x340 = x357 && x371 = x354 (9) l11(x306, x307, x308, x309, x310, x311, x312, x313, x314, x315, x316, x317, x318, x319, x320, x321, x322) -> l12(x323, x324, x325, x326, x327, x328, x329, x330, x331, x332, x333, x334, x335, x336, x337, x338, x339) :|: x322 = x339 && x321 = x338 && x320 = x337 && x319 = x336 && x318 = x335 && x317 = x334 && x316 = x333 && x315 = x332 && x314 = x331 && x313 = x330 && x311 = x328 && x310 = x327 && x309 = x326 && x308 = x325 && x307 = x324 && x312 = x329 && x306 = x323 && x336 = x319 (10) l10(x272, x273, x274, x275, x276, x277, x278, x279, x280, x281, x282, x283, x284, x285, x286, x287, x288) -> l11(x289, x290, x291, x292, x293, x294, x295, x296, x297, x298, x299, x300, x301, x302, x303, x304, x305) :|: x288 = x305 && x287 = x304 && x286 = x303 && x285 = x302 && x284 = x301 && x283 = x300 && x282 = x299 && x281 = x298 && x280 = x297 && x279 = x296 && x277 = x294 && x276 = x293 && x275 = x292 && x274 = x291 && x273 = x290 && x278 = x295 && x272 = x289 && x301 = x284 (11) l9(x238, x239, x240, x241, x242, x243, x244, x245, x246, x247, x248, x249, x250, x251, x252, x253, x254) -> l10(x255, x256, x257, x258, x259, x260, x261, x262, x263, x264, x265, x266, x267, x268, x269, x270, x271) :|: x254 = x271 && x253 = x270 && x252 = x269 && x251 = x268 && x250 = x267 && x249 = x266 && x248 = x265 && x247 = x264 && x246 = x263 && x245 = x262 && x243 = x260 && x242 = x259 && x241 = x258 && x240 = x257 && x239 = x256 && x244 = x261 && x238 = x255 && x266 = x249 (12) l8(x204, x205, x206, x207, x208, x209, x210, x211, x212, x213, x214, x215, x216, x217, x218, x219, x220) -> l9(x221, x222, x223, x224, x225, x226, x227, x228, x229, x230, x231, x232, x233, x234, x235, x236, x237) :|: x220 = x237 && x219 = x236 && x218 = x235 && x217 = x234 && x216 = x233 && x215 = x232 && x214 = x231 && x213 = x230 && x212 = x229 && x211 = x228 && x209 = x226 && x208 = x225 && x207 = x224 && x206 = x223 && x205 = x222 && x210 = x227 && x204 = x221 && x231 = x214 (13) l7(x170, x171, x172, x173, x174, x175, x176, x177, x178, x179, x180, x181, x182, x183, x184, x185, x186) -> l8(x187, x188, x189, x190, x191, x192, x193, x194, x195, x196, x197, x198, x199, x200, x201, x202, x203) :|: x186 = x203 && x185 = x202 && x184 = x201 && x183 = x200 && x182 = x199 && x181 = x198 && x180 = x197 && x179 = x196 && x178 = x195 && x177 = x194 && x175 = x192 && x174 = x191 && x173 = x190 && x172 = x189 && x171 = x188 && x176 = x193 && x170 = x187 && x196 = x179 (14) l6(x136, x137, x138, x139, x140, x141, x142, x143, x144, x145, x146, x147, x148, x149, x150, x151, x152) -> l7(x153, x154, x155, x156, x157, x158, x159, x160, x161, x162, x163, x164, x165, x166, x167, x168, x169) :|: x152 = x169 && x151 = x168 && x150 = x167 && x149 = x166 && x148 = x165 && x147 = x164 && x146 = x163 && x145 = x162 && x144 = x161 && x143 = x160 && x141 = x158 && x140 = x157 && x139 = x156 && x138 = x155 && x137 = x154 && x142 = x159 && x136 = x153 && x161 = x144 (15) l5(x102, x103, x104, x105, x106, x107, x108, x109, x110, x111, x112, x113, x114, x115, x116, x117, x118) -> l6(x119, x120, x121, x122, x123, x124, x125, x126, x127, x128, x129, x130, x131, x132, x133, x134, x135) :|: x118 = x135 && x117 = x134 && x116 = x133 && x115 = x132 && x114 = x131 && x113 = x130 && x112 = x129 && x111 = x128 && x110 = x127 && x109 = x126 && x107 = x124 && x106 = x123 && x105 = x122 && x104 = x121 && x103 = x120 && x108 = x125 && x102 = x119 && x126 = x109 (16) l4(x68, x69, x70, x71, x72, x73, x74, x75, x76, x77, x78, x79, x80, x81, x82, x83, x84) -> l5(x85, x86, x87, x88, x89, x90, x91, x92, x93, x94, x95, x96, x97, x98, x99, x100, x101) :|: x84 = x101 && x83 = x100 && x82 = x99 && x81 = x98 && x80 = x97 && x79 = x96 && x78 = x95 && x77 = x94 && x76 = x93 && x75 = x92 && x73 = x90 && x72 = x89 && x71 = x88 && x70 = x87 && x69 = x86 && x74 = x91 && x68 = x85 && x91 = x74 (17) l3(x34, x35, x36, x37, x38, x39, x40, x41, x42, x43, x44, x45, x46, x47, x48, x49, x50) -> l4(x51, x52, x53, x54, x55, x56, x57, x58, x59, x60, x61, x62, x63, x64, x65, x66, x67) :|: x50 = x67 && x48 = x65 && x47 = x64 && x46 = x63 && x45 = x62 && x44 = x61 && x43 = x60 && x42 = x59 && x41 = x58 && x39 = x56 && x38 = x55 && x37 = x54 && x36 = x53 && x35 = x52 && x40 = x57 && x34 = x51 && x66 = x50 && 0 <= x49 && x49 <= 0 Arcs: (1) -> (17) (2) -> (1) (3) -> (2) (4) -> (3) (5) -> (4) (6) -> (5) (7) -> (6) (8) -> (7) (9) -> (8) (10) -> (9) (11) -> (10) (12) -> (11) (13) -> (12) (14) -> (13) (15) -> (14) (16) -> (15) (17) -> (16) This digraph is fully evaluated! ---------------------------------------- (5) IntTRSCompressionProof (EQUIVALENT) Compressed rules. ---------------------------------------- (6) Obligation: Rules: l4(x119:0, x120:0, x121:0, x122:0, x123:0, x124:0, x125:0, x126:0, x127:0, x128:0, x129:0, x130:0, x131:0, x132:0, x133:0, x100:0, x101:0) -> l4(x119:0, x120:0, x121:0, x122:0, x123:0, x124:0, x125:0, x126:0, x127:0, x128:0, x129:0, x130:0, x131:0, x132:0, x133:0, x101:0, x101:0) :|: x100:0 < 1 && x100:0 > -1 ---------------------------------------- (7) IntTRSUnneededArgumentFilterProof (EQUIVALENT) Some arguments are removed because they cannot influence termination. We removed arguments according to the following replacements: l4(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17) -> l4(x16, x17) ---------------------------------------- (8) Obligation: Rules: l4(x100:0, x101:0) -> l4(x101:0, x101:0) :|: x100:0 < 1 && x100:0 > -1 ---------------------------------------- (9) FilterProof (EQUIVALENT) Used the following sort dictionary for filtering: l4(VARIABLE, VARIABLE) Replaced non-predefined constructor symbols by 0. ---------------------------------------- (10) Obligation: Rules: l4(x100:0, x101:0) -> l4(x101:0, x101:0) :|: x100:0 < 1 && x100:0 > -1 ---------------------------------------- (11) IntTRSPeriodicNontermProof (COMPLETE) Normalized system to the following form: f(pc, x100:0, x101:0) -> f(1, x101:0, x101:0) :|: pc = 1 && (x100:0 < 1 && x100:0 > -1) Witness term starting non-terminating reduction: f(1, 0, 0) ---------------------------------------- (12) NO