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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty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, 11.5 s]
(4) AND
    (5) IRSwT
        (6) IntTRSCompressionProof [EQUIVALENT, 41 ms]
        (7) IRSwT
        (8) IntTRSUnneededArgumentFilterProof [EQUIVALENT, 0 ms]
        (9) IRSwT
        (10) TempFilterProof [SOUND, 34 ms]
        (11) IntTRS
        (12) RankingReductionPairProof [EQUIVALENT, 20 ms]
        (13) YES
    (14) IRSwT
        (15) IntTRSCompressionProof [EQUIVALENT, 22 ms]
        (16) IRSwT
        (17) IntTRSUnneededArgumentFilterProof [EQUIVALENT, 0 ms]
        (18) IRSwT
        (19) FilterProof [EQUIVALENT, 0 ms]
        (20) IntTRS
        (21) IntTRSPeriodicNontermProof [COMPLETE, 0 ms]
        (22) NO


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

(0)
Obligation:
Rules:
l0(Result_4HAT0, ___cil_tmp6_15HAT0, a_140HAT0, a_16HAT0, head_12HAT0, i_11HAT0, len_47HAT0, length_10HAT0, length_19HAT0, lt_21HAT0, t_17HAT0, tmp_13HAT0, tmp_20HAT0, tmp___0_14HAT0, x_18HAT0) -> l1(Result_4HATpost, ___cil_tmp6_15HATpost, a_140HATpost, a_16HATpost, head_12HATpost, i_11HATpost, len_47HATpost, length_10HATpost, length_19HATpost, lt_21HATpost, t_17HATpost, tmp_13HATpost, tmp_20HATpost, tmp___0_14HATpost, x_18HATpost) :|: x_18HAT0 = x_18HATpost && tmp___0_14HAT0 = tmp___0_14HATpost && tmp_20HAT0 = tmp_20HATpost && tmp_13HAT0 = tmp_13HATpost && t_17HAT0 = t_17HATpost && lt_21HAT0 = lt_21HATpost && length_10HAT0 = length_10HATpost && len_47HAT0 = len_47HATpost && a_16HAT0 = a_16HATpost && a_140HAT0 = a_140HATpost && ___cil_tmp6_15HAT0 = ___cil_tmp6_15HATpost && Result_4HAT0 = Result_4HATpost && i_11HATpost = 0 && head_12HATpost = 0 && length_19HATpost = length_19HATpost
l1(x, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14) -> l2(x15, x16, x17, x18, x19, x20, x21, x22, x23, x24, x25, x26, x27, x28, x29) :|: x14 = x29 && x12 = x27 && x10 = x25 && x9 = x24 && x8 = x23 && x7 = x22 && x6 = x21 && x3 = x18 && x2 = x17 && x1 = x16 && x = x15 && x20 = 1 + x5 && x19 = x26 && x26 = x28 && x28 = x28 && 0 <= -2 - x5 + x7
l1(x30, x31, x32, x33, x34, x35, x36, x37, x38, x39, x40, x41, x42, x43, x44) -> l3(x45, x46, x47, x48, x49, x50, x51, x52, x53, x54, x55, x56, x57, x58, x59) :|: -1 - x35 + x37 <= 0 && x46 = x34 && x60 = x46 && x57 = x60 && x61 = x61 && x59 = x33 && x59 <= 0 && 0 <= x59 && x62 = x62 && x45 = x45 && x32 = x47 && x33 = x48 && x34 = x49 && x35 = x50 && x36 = x51 && x37 = x52 && x38 = x53 && x39 = x54 && x40 = x55 && x41 = x56 && x43 = x58
l2(x63, x64, x65, x66, x67, x68, x69, x70, x71, x72, x73, x74, x75, x76, x77) -> l4(x78, x79, x80, x81, x82, x83, x84, x85, x86, x87, x88, x89, x90, x91, x92) :|: x77 = x92 && x75 = x90 && x73 = x88 && x72 = x87 && x71 = x86 && x70 = x85 && x69 = x84 && x66 = x81 && x65 = x80 && x64 = x79 && x63 = x78 && x83 = 1 + x68 && x82 = x89 && x89 = x91 && x91 = x91 && 0 <= -2 - x68 + x70 && 0 <= x69
l4(x93, x94, x95, x96, x97, x98, x99, x100, x101, x102, x103, x104, x105, x106, x107) -> l2(x108, x109, x110, x111, x112, x113, x114, x115, x116, x117, x118, x119, x120, x121, x122) :|: x107 = x122 && x106 = x121 && x105 = x120 && x104 = x119 && x103 = x118 && x102 = x117 && x101 = x116 && x100 = x115 && x99 = x114 && x98 = x113 && x97 = x112 && x96 = x111 && x95 = x110 && x94 = x109 && x93 = x108
l2(x123, x124, x125, x126, x127, x128, x129, x130, x131, x132, x133, x134, x135, x136, x137) -> l6(x138, x139, x140, x141, x142, x143, x144, x145, x146, x147, x148, x149, x150, x151, x152) :|: 0 <= x129 && -1 - x128 + x130 <= 0 && x139 = x127 && x153 = x139 && 0 <= x129 && x150 = x153 && x138 = x138 && 0 <= x129 && 0 <= x129 && 0 <= x129 && x152 = x126 && 0 <= x129 && x125 = x140 && x126 = x141 && x127 = x142 && x128 = x143 && x129 = x144 && x130 = x145 && x131 = x146 && x132 = x147 && x133 = x148 && x134 = x149 && x136 = x151
l6(x154, x155, x156, x157, x158, x159, x160, x161, x162, x163, x164, x165, x166, x167, x168) -> l7(x169, x170, x171, x172, x173, x174, x175, x176, x177, x178, x179, x180, x181, x182, x183) :|: x168 = x183 && x167 = x182 && x166 = x181 && x165 = x180 && x164 = x179 && x163 = x178 && x162 = x177 && x161 = x176 && x160 = x175 && x159 = x174 && x158 = x173 && x157 = x172 && x156 = x171 && x155 = x170 && x154 = x169 && 1 + x168 <= 0
l6(x184, x185, x186, x187, x188, x189, x190, x191, x192, x193, x194, x195, x196, x197, x198) -> l7(x199, x200, x201, x202, x203, x204, x205, x206, x207, x208, x209, x210, x211, x212, x213) :|: x198 = x213 && x197 = x212 && x196 = x211 && x195 = x210 && x194 = x209 && x193 = x208 && x192 = x207 && x191 = x206 && x190 = x205 && x189 = x204 && x188 = x203 && x187 = x202 && x186 = x201 && x185 = x200 && x184 = x199 && 1 <= x198
l7(x214, x215, x216, x217, x218, x219, x220, x221, x222, x223, x224, x225, x226, x227, x228) -> l5(x229, x230, x231, x232, x233, x234, x235, x236, x237, x238, x239, x240, x241, x242, x243) :|: x239 = x228 && x244 = x244 && x243 = x244 && x238 = x238 && x214 = x229 && x215 = x230 && x216 = x231 && x217 = x232 && x218 = x233 && x219 = x234 && x220 = x235 && x221 = x236 && x222 = x237 && x225 = x240 && x226 = x241 && x227 = x242
l5(x245, x246, x247, x248, x249, x250, x251, x252, x253, x254, x255, x256, x257, x258, x259) -> l3(x260, x261, x262, x263, x264, x265, x266, x267, x268, x269, x270, x271, x272, x273, x274) :|: 0 <= x247 && x259 <= 0 && 0 <= x259 && x275 = x275 && x260 = x260 && x246 = x261 && x247 = x262 && x248 = x263 && x249 = x264 && x250 = x265 && x251 = x266 && x252 = x267 && x253 = x268 && x254 = x269 && x255 = x270 && x256 = x271 && x257 = x272 && x258 = x273 && x259 = x274
l5(x276, x277, x278, x279, x280, x281, x282, x283, x284, x285, x286, x287, x288, x289, x290) -> l9(x291, x292, x293, x294, x295, x296, x297, x298, x299, x300, x301, x302, x303, x304, x305) :|: x290 = x305 && x289 = x304 && x288 = x303 && x287 = x302 && x286 = x301 && x285 = x300 && x284 = x299 && x283 = x298 && x282 = x297 && x281 = x296 && x280 = x295 && x279 = x294 && x278 = x293 && x277 = x292 && x276 = x291 && 0 <= x278
l9(x306, x307, x308, x309, x310, x311, x312, x313, x314, x315, x316, x317, x318, x319, x320) -> l10(x321, x322, x323, x324, x325, x326, x327, x328, x329, x330, x331, x332, x333, x334, x335) :|: x320 = x335 && x319 = x334 && x318 = x333 && x317 = x332 && x316 = x331 && x315 = x330 && x314 = x329 && x313 = x328 && x312 = x327 && x311 = x326 && x310 = x325 && x309 = x324 && x308 = x323 && x307 = x322 && x306 = x321 && 1 + x320 <= 0
l9(x336, x337, x338, x339, x340, x341, x342, x343, x344, x345, x346, x347, x348, x349, x350) -> l10(x351, x352, x353, x354, x355, x356, x357, x358, x359, x360, x361, x362, x363, x364, x365) :|: x350 = x365 && x349 = x364 && x348 = x363 && x347 = x362 && x346 = x361 && x345 = x360 && x344 = x359 && x343 = x358 && x342 = x357 && x341 = x356 && x340 = x355 && x339 = x354 && x338 = x353 && x337 = x352 && x336 = x351 && 1 <= x350
l10(x366, x367, x368, x369, x370, x371, x372, x373, x374, x375, x376, x377, x378, x379, x380) -> l8(x381, x382, x383, x384, x385, x386, x387, x388, x389, x390, x391, x392, x393, x394, x395) :|: x391 = x380 && x396 = x396 && x395 = x396 && x390 = x390 && x366 = x381 && x367 = x382 && x368 = x383 && x369 = x384 && x370 = x385 && x371 = x386 && x372 = x387 && x373 = x388 && x374 = x389 && x377 = x392 && x378 = x393 && x379 = x394
l8(x397, x398, x399, x400, x401, x402, x403, x404, x405, x406, x407, x408, x409, x410, x411) -> l5(x412, x413, x414, x415, x416, x417, x418, x419, x420, x421, x422, x423, x424, x425, x426) :|: x411 = x426 && x410 = x425 && x409 = x424 && x408 = x423 && x407 = x422 && x406 = x421 && x405 = x420 && x404 = x419 && x403 = x418 && x402 = x417 && x401 = x416 && x400 = x415 && x399 = x414 && x398 = x413 && x397 = x412
l11(x427, x428, x429, x430, x431, x432, x433, x434, x435, x436, x437, x438, x439, x440, x441) -> l0(x442, x443, x444, x445, x446, x447, x448, x449, x450, x451, x452, x453, x454, x455, x456) :|: x441 = x456 && x440 = x455 && x439 = x454 && x438 = x453 && x437 = x452 && x436 = x451 && x435 = x450 && x434 = x449 && x433 = x448 && x432 = x447 && x431 = x446 && x430 = x445 && x429 = x444 && x428 = x443 && x427 = x442
Start term: l11(Result_4HAT0, ___cil_tmp6_15HAT0, a_140HAT0, a_16HAT0, head_12HAT0, i_11HAT0, len_47HAT0, length_10HAT0, length_19HAT0, lt_21HAT0, t_17HAT0, tmp_13HAT0, tmp_20HAT0, tmp___0_14HAT0, x_18HAT0)

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

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

(2)
Obligation:
Rules:
l0(Result_4HAT0, ___cil_tmp6_15HAT0, a_140HAT0, a_16HAT0, head_12HAT0, i_11HAT0, len_47HAT0, length_10HAT0, length_19HAT0, lt_21HAT0, t_17HAT0, tmp_13HAT0, tmp_20HAT0, tmp___0_14HAT0, x_18HAT0) -> l1(Result_4HATpost, ___cil_tmp6_15HATpost, a_140HATpost, a_16HATpost, head_12HATpost, i_11HATpost, len_47HATpost, length_10HATpost, length_19HATpost, lt_21HATpost, t_17HATpost, tmp_13HATpost, tmp_20HATpost, tmp___0_14HATpost, x_18HATpost) :|: x_18HAT0 = x_18HATpost && tmp___0_14HAT0 = tmp___0_14HATpost && tmp_20HAT0 = tmp_20HATpost && tmp_13HAT0 = tmp_13HATpost && t_17HAT0 = t_17HATpost && lt_21HAT0 = lt_21HATpost && length_10HAT0 = length_10HATpost && len_47HAT0 = len_47HATpost && a_16HAT0 = a_16HATpost && a_140HAT0 = a_140HATpost && ___cil_tmp6_15HAT0 = ___cil_tmp6_15HATpost && Result_4HAT0 = Result_4HATpost && i_11HATpost = 0 && head_12HATpost = 0 && length_19HATpost = length_19HATpost
l1(x, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14) -> l2(x15, x16, x17, x18, x19, x20, x21, x22, x23, x24, x25, x26, x27, x28, x29) :|: x14 = x29 && x12 = x27 && x10 = x25 && x9 = x24 && x8 = x23 && x7 = x22 && x6 = x21 && x3 = x18 && x2 = x17 && x1 = x16 && x = x15 && x20 = 1 + x5 && x19 = x26 && x26 = x28 && x28 = x28 && 0 <= -2 - x5 + x7
l1(x30, x31, x32, x33, x34, x35, x36, x37, x38, x39, x40, x41, x42, x43, x44) -> l3(x45, x46, x47, x48, x49, x50, x51, x52, x53, x54, x55, x56, x57, x58, x59) :|: -1 - x35 + x37 <= 0 && x46 = x34 && x60 = x46 && x57 = x60 && x61 = x61 && x59 = x33 && x59 <= 0 && 0 <= x59 && x62 = x62 && x45 = x45 && x32 = x47 && x33 = x48 && x34 = x49 && x35 = x50 && x36 = x51 && x37 = x52 && x38 = x53 && x39 = x54 && x40 = x55 && x41 = x56 && x43 = x58
l2(x63, x64, x65, x66, x67, x68, x69, x70, x71, x72, x73, x74, x75, x76, x77) -> l4(x78, x79, x80, x81, x82, x83, x84, x85, x86, x87, x88, x89, x90, x91, x92) :|: x77 = x92 && x75 = x90 && x73 = x88 && x72 = x87 && x71 = x86 && x70 = x85 && x69 = x84 && x66 = x81 && x65 = x80 && x64 = x79 && x63 = x78 && x83 = 1 + x68 && x82 = x89 && x89 = x91 && x91 = x91 && 0 <= -2 - x68 + x70 && 0 <= x69
l4(x93, x94, x95, x96, x97, x98, x99, x100, x101, x102, x103, x104, x105, x106, x107) -> l2(x108, x109, x110, x111, x112, x113, x114, x115, x116, x117, x118, x119, x120, x121, x122) :|: x107 = x122 && x106 = x121 && x105 = x120 && x104 = x119 && x103 = x118 && x102 = x117 && x101 = x116 && x100 = x115 && x99 = x114 && x98 = x113 && x97 = x112 && x96 = x111 && x95 = x110 && x94 = x109 && x93 = x108
l2(x123, x124, x125, x126, x127, x128, x129, x130, x131, x132, x133, x134, x135, x136, x137) -> l6(x138, x139, x140, x141, x142, x143, x144, x145, x146, x147, x148, x149, x150, x151, x152) :|: 0 <= x129 && -1 - x128 + x130 <= 0 && x139 = x127 && x153 = x139 && 0 <= x129 && x150 = x153 && x138 = x138 && 0 <= x129 && 0 <= x129 && 0 <= x129 && x152 = x126 && 0 <= x129 && x125 = x140 && x126 = x141 && x127 = x142 && x128 = x143 && x129 = x144 && x130 = x145 && x131 = x146 && x132 = x147 && x133 = x148 && x134 = x149 && x136 = x151
l6(x154, x155, x156, x157, x158, x159, x160, x161, x162, x163, x164, x165, x166, x167, x168) -> l7(x169, x170, x171, x172, x173, x174, x175, x176, x177, x178, x179, x180, x181, x182, x183) :|: x168 = x183 && x167 = x182 && x166 = x181 && x165 = x180 && x164 = x179 && x163 = x178 && x162 = x177 && x161 = x176 && x160 = x175 && x159 = x174 && x158 = x173 && x157 = x172 && x156 = x171 && x155 = x170 && x154 = x169 && 1 + x168 <= 0
l6(x184, x185, x186, x187, x188, x189, x190, x191, x192, x193, x194, x195, x196, x197, x198) -> l7(x199, x200, x201, x202, x203, x204, x205, x206, x207, x208, x209, x210, x211, x212, x213) :|: x198 = x213 && x197 = x212 && x196 = x211 && x195 = x210 && x194 = x209 && x193 = x208 && x192 = x207 && x191 = x206 && x190 = x205 && x189 = x204 && x188 = x203 && x187 = x202 && x186 = x201 && x185 = x200 && x184 = x199 && 1 <= x198
l7(x214, x215, x216, x217, x218, x219, x220, x221, x222, x223, x224, x225, x226, x227, x228) -> l5(x229, x230, x231, x232, x233, x234, x235, x236, x237, x238, x239, x240, x241, x242, x243) :|: x239 = x228 && x244 = x244 && x243 = x244 && x238 = x238 && x214 = x229 && x215 = x230 && x216 = x231 && x217 = x232 && x218 = x233 && x219 = x234 && x220 = x235 && x221 = x236 && x222 = x237 && x225 = x240 && x226 = x241 && x227 = x242
l5(x245, x246, x247, x248, x249, x250, x251, x252, x253, x254, x255, x256, x257, x258, x259) -> l3(x260, x261, x262, x263, x264, x265, x266, x267, x268, x269, x270, x271, x272, x273, x274) :|: 0 <= x247 && x259 <= 0 && 0 <= x259 && x275 = x275 && x260 = x260 && x246 = x261 && x247 = x262 && x248 = x263 && x249 = x264 && x250 = x265 && x251 = x266 && x252 = x267 && x253 = x268 && x254 = x269 && x255 = x270 && x256 = x271 && x257 = x272 && x258 = x273 && x259 = x274
l5(x276, x277, x278, x279, x280, x281, x282, x283, x284, x285, x286, x287, x288, x289, x290) -> l9(x291, x292, x293, x294, x295, x296, x297, x298, x299, x300, x301, x302, x303, x304, x305) :|: x290 = x305 && x289 = x304 && x288 = x303 && x287 = x302 && x286 = x301 && x285 = x300 && x284 = x299 && x283 = x298 && x282 = x297 && x281 = x296 && x280 = x295 && x279 = x294 && x278 = x293 && x277 = x292 && x276 = x291 && 0 <= x278
l9(x306, x307, x308, x309, x310, x311, x312, x313, x314, x315, x316, x317, x318, x319, x320) -> l10(x321, x322, x323, x324, x325, x326, x327, x328, x329, x330, x331, x332, x333, x334, x335) :|: x320 = x335 && x319 = x334 && x318 = x333 && x317 = x332 && x316 = x331 && x315 = x330 && x314 = x329 && x313 = x328 && x312 = x327 && x311 = x326 && x310 = x325 && x309 = x324 && x308 = x323 && x307 = x322 && x306 = x321 && 1 + x320 <= 0
l9(x336, x337, x338, x339, x340, x341, x342, x343, x344, x345, x346, x347, x348, x349, x350) -> l10(x351, x352, x353, x354, x355, x356, x357, x358, x359, x360, x361, x362, x363, x364, x365) :|: x350 = x365 && x349 = x364 && x348 = x363 && x347 = x362 && x346 = x361 && x345 = x360 && x344 = x359 && x343 = x358 && x342 = x357 && x341 = x356 && x340 = x355 && x339 = x354 && x338 = x353 && x337 = x352 && x336 = x351 && 1 <= x350
l10(x366, x367, x368, x369, x370, x371, x372, x373, x374, x375, x376, x377, x378, x379, x380) -> l8(x381, x382, x383, x384, x385, x386, x387, x388, x389, x390, x391, x392, x393, x394, x395) :|: x391 = x380 && x396 = x396 && x395 = x396 && x390 = x390 && x366 = x381 && x367 = x382 && x368 = x383 && x369 = x384 && x370 = x385 && x371 = x386 && x372 = x387 && x373 = x388 && x374 = x389 && x377 = x392 && x378 = x393 && x379 = x394
l8(x397, x398, x399, x400, x401, x402, x403, x404, x405, x406, x407, x408, x409, x410, x411) -> l5(x412, x413, x414, x415, x416, x417, x418, x419, x420, x421, x422, x423, x424, x425, x426) :|: x411 = x426 && x410 = x425 && x409 = x424 && x408 = x423 && x407 = x422 && x406 = x421 && x405 = x420 && x404 = x419 && x403 = x418 && x402 = x417 && x401 = x416 && x400 = x415 && x399 = x414 && x398 = x413 && x397 = x412
l11(x427, x428, x429, x430, x431, x432, x433, x434, x435, x436, x437, x438, x439, x440, x441) -> l0(x442, x443, x444, x445, x446, x447, x448, x449, x450, x451, x452, x453, x454, x455, x456) :|: x441 = x456 && x440 = x455 && x439 = x454 && x438 = x453 && x437 = x452 && x436 = x451 && x435 = x450 && x434 = x449 && x433 = x448 && x432 = x447 && x431 = x446 && x430 = x445 && x429 = x444 && x428 = x443 && x427 = x442
Start term: l11(Result_4HAT0, ___cil_tmp6_15HAT0, a_140HAT0, a_16HAT0, head_12HAT0, i_11HAT0, len_47HAT0, length_10HAT0, length_19HAT0, lt_21HAT0, t_17HAT0, tmp_13HAT0, tmp_20HAT0, tmp___0_14HAT0, x_18HAT0)

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

(3) IRSwTTerminationDigraphProof (EQUIVALENT)
Constructed termination digraph!
Nodes:
(1) l0(Result_4HAT0, ___cil_tmp6_15HAT0, a_140HAT0, a_16HAT0, head_12HAT0, i_11HAT0, len_47HAT0, length_10HAT0, length_19HAT0, lt_21HAT0, t_17HAT0, tmp_13HAT0, tmp_20HAT0, tmp___0_14HAT0, x_18HAT0) -> l1(Result_4HATpost, ___cil_tmp6_15HATpost, a_140HATpost, a_16HATpost, head_12HATpost, i_11HATpost, len_47HATpost, length_10HATpost, length_19HATpost, lt_21HATpost, t_17HATpost, tmp_13HATpost, tmp_20HATpost, tmp___0_14HATpost, x_18HATpost) :|: x_18HAT0 = x_18HATpost && tmp___0_14HAT0 = tmp___0_14HATpost && tmp_20HAT0 = tmp_20HATpost && tmp_13HAT0 = tmp_13HATpost && t_17HAT0 = t_17HATpost && lt_21HAT0 = lt_21HATpost && length_10HAT0 = length_10HATpost && len_47HAT0 = len_47HATpost && a_16HAT0 = a_16HATpost && a_140HAT0 = a_140HATpost && ___cil_tmp6_15HAT0 = ___cil_tmp6_15HATpost && Result_4HAT0 = Result_4HATpost && i_11HATpost = 0 && head_12HATpost = 0 && length_19HATpost = length_19HATpost
(2) l1(x, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14) -> l2(x15, x16, x17, x18, x19, x20, x21, x22, x23, x24, x25, x26, x27, x28, x29) :|: x14 = x29 && x12 = x27 && x10 = x25 && x9 = x24 && x8 = x23 && x7 = x22 && x6 = x21 && x3 = x18 && x2 = x17 && x1 = x16 && x = x15 && x20 = 1 + x5 && x19 = x26 && x26 = x28 && x28 = x28 && 0 <= -2 - x5 + x7
(3) l1(x30, x31, x32, x33, x34, x35, x36, x37, x38, x39, x40, x41, x42, x43, x44) -> l3(x45, x46, x47, x48, x49, x50, x51, x52, x53, x54, x55, x56, x57, x58, x59) :|: -1 - x35 + x37 <= 0 && x46 = x34 && x60 = x46 && x57 = x60 && x61 = x61 && x59 = x33 && x59 <= 0 && 0 <= x59 && x62 = x62 && x45 = x45 && x32 = x47 && x33 = x48 && x34 = x49 && x35 = x50 && x36 = x51 && x37 = x52 && x38 = x53 && x39 = x54 && x40 = x55 && x41 = x56 && x43 = x58
(4) l2(x63, x64, x65, x66, x67, x68, x69, x70, x71, x72, x73, x74, x75, x76, x77) -> l4(x78, x79, x80, x81, x82, x83, x84, x85, x86, x87, x88, x89, x90, x91, x92) :|: x77 = x92 && x75 = x90 && x73 = x88 && x72 = x87 && x71 = x86 && x70 = x85 && x69 = x84 && x66 = x81 && x65 = x80 && x64 = x79 && x63 = x78 && x83 = 1 + x68 && x82 = x89 && x89 = x91 && x91 = x91 && 0 <= -2 - x68 + x70 && 0 <= x69
(5) l4(x93, x94, x95, x96, x97, x98, x99, x100, x101, x102, x103, x104, x105, x106, x107) -> l2(x108, x109, x110, x111, x112, x113, x114, x115, x116, x117, x118, x119, x120, x121, x122) :|: x107 = x122 && x106 = x121 && x105 = x120 && x104 = x119 && x103 = x118 && x102 = x117 && x101 = x116 && x100 = x115 && x99 = x114 && x98 = x113 && x97 = x112 && x96 = x111 && x95 = x110 && x94 = x109 && x93 = x108
(6) l2(x123, x124, x125, x126, x127, x128, x129, x130, x131, x132, x133, x134, x135, x136, x137) -> l6(x138, x139, x140, x141, x142, x143, x144, x145, x146, x147, x148, x149, x150, x151, x152) :|: 0 <= x129 && -1 - x128 + x130 <= 0 && x139 = x127 && x153 = x139 && 0 <= x129 && x150 = x153 && x138 = x138 && 0 <= x129 && 0 <= x129 && 0 <= x129 && x152 = x126 && 0 <= x129 && x125 = x140 && x126 = x141 && x127 = x142 && x128 = x143 && x129 = x144 && x130 = x145 && x131 = x146 && x132 = x147 && x133 = x148 && x134 = x149 && x136 = x151
(7) l6(x154, x155, x156, x157, x158, x159, x160, x161, x162, x163, x164, x165, x166, x167, x168) -> l7(x169, x170, x171, x172, x173, x174, x175, x176, x177, x178, x179, x180, x181, x182, x183) :|: x168 = x183 && x167 = x182 && x166 = x181 && x165 = x180 && x164 = x179 && x163 = x178 && x162 = x177 && x161 = x176 && x160 = x175 && x159 = x174 && x158 = x173 && x157 = x172 && x156 = x171 && x155 = x170 && x154 = x169 && 1 + x168 <= 0
(8) l6(x184, x185, x186, x187, x188, x189, x190, x191, x192, x193, x194, x195, x196, x197, x198) -> l7(x199, x200, x201, x202, x203, x204, x205, x206, x207, x208, x209, x210, x211, x212, x213) :|: x198 = x213 && x197 = x212 && x196 = x211 && x195 = x210 && x194 = x209 && x193 = x208 && x192 = x207 && x191 = x206 && x190 = x205 && x189 = x204 && x188 = x203 && x187 = x202 && x186 = x201 && x185 = x200 && x184 = x199 && 1 <= x198
(9) l7(x214, x215, x216, x217, x218, x219, x220, x221, x222, x223, x224, x225, x226, x227, x228) -> l5(x229, x230, x231, x232, x233, x234, x235, x236, x237, x238, x239, x240, x241, x242, x243) :|: x239 = x228 && x244 = x244 && x243 = x244 && x238 = x238 && x214 = x229 && x215 = x230 && x216 = x231 && x217 = x232 && x218 = x233 && x219 = x234 && x220 = x235 && x221 = x236 && x222 = x237 && x225 = x240 && x226 = x241 && x227 = x242
(10) l5(x245, x246, x247, x248, x249, x250, x251, x252, x253, x254, x255, x256, x257, x258, x259) -> l3(x260, x261, x262, x263, x264, x265, x266, x267, x268, x269, x270, x271, x272, x273, x274) :|: 0 <= x247 && x259 <= 0 && 0 <= x259 && x275 = x275 && x260 = x260 && x246 = x261 && x247 = x262 && x248 = x263 && x249 = x264 && x250 = x265 && x251 = x266 && x252 = x267 && x253 = x268 && x254 = x269 && x255 = x270 && x256 = x271 && x257 = x272 && x258 = x273 && x259 = x274
(11) l5(x276, x277, x278, x279, x280, x281, x282, x283, x284, x285, x286, x287, x288, x289, x290) -> l9(x291, x292, x293, x294, x295, x296, x297, x298, x299, x300, x301, x302, x303, x304, x305) :|: x290 = x305 && x289 = x304 && x288 = x303 && x287 = x302 && x286 = x301 && x285 = x300 && x284 = x299 && x283 = x298 && x282 = x297 && x281 = x296 && x280 = x295 && x279 = x294 && x278 = x293 && x277 = x292 && x276 = x291 && 0 <= x278
(12) l9(x306, x307, x308, x309, x310, x311, x312, x313, x314, x315, x316, x317, x318, x319, x320) -> l10(x321, x322, x323, x324, x325, x326, x327, x328, x329, x330, x331, x332, x333, x334, x335) :|: x320 = x335 && x319 = x334 && x318 = x333 && x317 = x332 && x316 = x331 && x315 = x330 && x314 = x329 && x313 = x328 && x312 = x327 && x311 = x326 && x310 = x325 && x309 = x324 && x308 = x323 && x307 = x322 && x306 = x321 && 1 + x320 <= 0
(13) l9(x336, x337, x338, x339, x340, x341, x342, x343, x344, x345, x346, x347, x348, x349, x350) -> l10(x351, x352, x353, x354, x355, x356, x357, x358, x359, x360, x361, x362, x363, x364, x365) :|: x350 = x365 && x349 = x364 && x348 = x363 && x347 = x362 && x346 = x361 && x345 = x360 && x344 = x359 && x343 = x358 && x342 = x357 && x341 = x356 && x340 = x355 && x339 = x354 && x338 = x353 && x337 = x352 && x336 = x351 && 1 <= x350
(14) l10(x366, x367, x368, x369, x370, x371, x372, x373, x374, x375, x376, x377, x378, x379, x380) -> l8(x381, x382, x383, x384, x385, x386, x387, x388, x389, x390, x391, x392, x393, x394, x395) :|: x391 = x380 && x396 = x396 && x395 = x396 && x390 = x390 && x366 = x381 && x367 = x382 && x368 = x383 && x369 = x384 && x370 = x385 && x371 = x386 && x372 = x387 && x373 = x388 && x374 = x389 && x377 = x392 && x378 = x393 && x379 = x394
(15) l8(x397, x398, x399, x400, x401, x402, x403, x404, x405, x406, x407, x408, x409, x410, x411) -> l5(x412, x413, x414, x415, x416, x417, x418, x419, x420, x421, x422, x423, x424, x425, x426) :|: x411 = x426 && x410 = x425 && x409 = x424 && x408 = x423 && x407 = x422 && x406 = x421 && x405 = x420 && x404 = x419 && x403 = x418 && x402 = x417 && x401 = x416 && x400 = x415 && x399 = x414 && x398 = x413 && x397 = x412
(16) l11(x427, x428, x429, x430, x431, x432, x433, x434, x435, x436, x437, x438, x439, x440, x441) -> l0(x442, x443, x444, x445, x446, x447, x448, x449, x450, x451, x452, x453, x454, x455, x456) :|: x441 = x456 && x440 = x455 && x439 = x454 && x438 = x453 && x437 = x452 && x436 = x451 && x435 = x450 && x434 = x449 && x433 = x448 && x432 = x447 && x431 = x446 && x430 = x445 && x429 = x444 && x428 = x443 && x427 = x442

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

This digraph is fully evaluated!
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(4)
Complex Obligation (AND)

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

(5)
Obligation:

Termination digraph:
Nodes:
(1) l2(x63, x64, x65, x66, x67, x68, x69, x70, x71, x72, x73, x74, x75, x76, x77) -> l4(x78, x79, x80, x81, x82, x83, x84, x85, x86, x87, x88, x89, x90, x91, x92) :|: x77 = x92 && x75 = x90 && x73 = x88 && x72 = x87 && x71 = x86 && x70 = x85 && x69 = x84 && x66 = x81 && x65 = x80 && x64 = x79 && x63 = x78 && x83 = 1 + x68 && x82 = x89 && x89 = x91 && x91 = x91 && 0 <= -2 - x68 + x70 && 0 <= x69
(2) l4(x93, x94, x95, x96, x97, x98, x99, x100, x101, x102, x103, x104, x105, x106, x107) -> l2(x108, x109, x110, x111, x112, x113, x114, x115, x116, x117, x118, x119, x120, x121, x122) :|: x107 = x122 && x106 = x121 && x105 = x120 && x104 = x119 && x103 = x118 && x102 = x117 && x101 = x116 && x100 = x115 && x99 = x114 && x98 = x113 && x97 = x112 && x96 = x111 && x95 = x110 && x94 = x109 && x93 = x108

Arcs:
(1) -> (2)
(2) -> (1)

This digraph is fully evaluated!

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(6) IntTRSCompressionProof (EQUIVALENT)
Compressed rules.
----------------------------------------

(7)
Obligation:
Rules:
l2(x108:0, x109:0, x110:0, x111:0, x67:0, x68:0, x114:0, x115:0, x116:0, x117:0, x118:0, x74:0, x120:0, x76:0, x122:0) -> l2(x108:0, x109:0, x110:0, x111:0, x112:0, 1 + x68:0, x114:0, x115:0, x116:0, x117:0, x118:0, x112:0, x120:0, x112:0, x122:0) :|: x114:0 > -1 && 0 <= -2 - x68:0 + x115:0

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(8) IntTRSUnneededArgumentFilterProof (EQUIVALENT)
Some arguments are removed because they cannot influence termination. We removed arguments according to the following replacements:

   l2(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15) -> l2(x6, x7, x8)

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(9)
Obligation:
Rules:
l2(x68:0, x114:0, x115:0) -> l2(1 + x68:0, x114:0, x115:0) :|: x114:0 > -1 && 0 <= -2 - x68:0 + x115:0

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(10) TempFilterProof (SOUND)
Used the following sort dictionary for filtering: 
l2(INTEGER, INTEGER, INTEGER)
Replaced non-predefined constructor symbols by 0.
----------------------------------------

(11)
Obligation:
Rules:
l2(x68:0, x114:0, x115:0) -> l2(c, x114:0, x115:0) :|: c = 1 + x68:0 && (x114:0 > -1 && 0 <= -2 - x68:0 + x115:0)

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(12) RankingReductionPairProof (EQUIVALENT)
Interpretation:
[ l2 ] = -1*l2_1 + l2_3

The following rules are decreasing:
l2(x68:0, x114:0, x115:0) -> l2(c, x114:0, x115:0) :|: c = 1 + x68:0 && (x114:0 > -1 && 0 <= -2 - x68:0 + x115:0)

The following rules are bounded:
l2(x68:0, x114:0, x115:0) -> l2(c, x114:0, x115:0) :|: c = 1 + x68:0 && (x114:0 > -1 && 0 <= -2 - x68:0 + x115:0)


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(13)
YES

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

(14)
Obligation:

Termination digraph:
Nodes:
(1) l5(x276, x277, x278, x279, x280, x281, x282, x283, x284, x285, x286, x287, x288, x289, x290) -> l9(x291, x292, x293, x294, x295, x296, x297, x298, x299, x300, x301, x302, x303, x304, x305) :|: x290 = x305 && x289 = x304 && x288 = x303 && x287 = x302 && x286 = x301 && x285 = x300 && x284 = x299 && x283 = x298 && x282 = x297 && x281 = x296 && x280 = x295 && x279 = x294 && x278 = x293 && x277 = x292 && x276 = x291 && 0 <= x278
(2) l8(x397, x398, x399, x400, x401, x402, x403, x404, x405, x406, x407, x408, x409, x410, x411) -> l5(x412, x413, x414, x415, x416, x417, x418, x419, x420, x421, x422, x423, x424, x425, x426) :|: x411 = x426 && x410 = x425 && x409 = x424 && x408 = x423 && x407 = x422 && x406 = x421 && x405 = x420 && x404 = x419 && x403 = x418 && x402 = x417 && x401 = x416 && x400 = x415 && x399 = x414 && x398 = x413 && x397 = x412
(3) l10(x366, x367, x368, x369, x370, x371, x372, x373, x374, x375, x376, x377, x378, x379, x380) -> l8(x381, x382, x383, x384, x385, x386, x387, x388, x389, x390, x391, x392, x393, x394, x395) :|: x391 = x380 && x396 = x396 && x395 = x396 && x390 = x390 && x366 = x381 && x367 = x382 && x368 = x383 && x369 = x384 && x370 = x385 && x371 = x386 && x372 = x387 && x373 = x388 && x374 = x389 && x377 = x392 && x378 = x393 && x379 = x394
(4) l9(x336, x337, x338, x339, x340, x341, x342, x343, x344, x345, x346, x347, x348, x349, x350) -> l10(x351, x352, x353, x354, x355, x356, x357, x358, x359, x360, x361, x362, x363, x364, x365) :|: x350 = x365 && x349 = x364 && x348 = x363 && x347 = x362 && x346 = x361 && x345 = x360 && x344 = x359 && x343 = x358 && x342 = x357 && x341 = x356 && x340 = x355 && x339 = x354 && x338 = x353 && x337 = x352 && x336 = x351 && 1 <= x350
(5) l9(x306, x307, x308, x309, x310, x311, x312, x313, x314, x315, x316, x317, x318, x319, x320) -> l10(x321, x322, x323, x324, x325, x326, x327, x328, x329, x330, x331, x332, x333, x334, x335) :|: x320 = x335 && x319 = x334 && x318 = x333 && x317 = x332 && x316 = x331 && x315 = x330 && x314 = x329 && x313 = x328 && x312 = x327 && x311 = x326 && x310 = x325 && x309 = x324 && x308 = x323 && x307 = x322 && x306 = x321 && 1 + x320 <= 0

Arcs:
(1) -> (4), (5)
(2) -> (1)
(3) -> (2)
(4) -> (3)
(5) -> (3)

This digraph is fully evaluated!

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(15) IntTRSCompressionProof (EQUIVALENT)
Compressed rules.
----------------------------------------

(16)
Obligation:
Rules:
l10(x291:0, x292:0, x293:0, x294:0, x295:0, x296:0, x297:0, x298:0, x299:0, x375:0, x376:0, x302:0, x303:0, x304:0, x301:0) -> l10(x291:0, x292:0, x293:0, x294:0, x295:0, x296:0, x297:0, x298:0, x299:0, x300:0, x301:0, x302:0, x303:0, x304:0, x305:0) :|: x293:0 > -1 && x305:0 > 0
l10(x, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14) -> l10(x, x1, x2, x3, x4, x5, x6, x7, x8, x15, x14, x11, x12, x13, x16) :|: x2 > -1 && x16 < 0

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(17) IntTRSUnneededArgumentFilterProof (EQUIVALENT)
Some arguments are removed because they cannot influence termination. We removed arguments according to the following replacements:

   l10(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15) -> l10(x3)

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(18)
Obligation:
Rules:
l10(x293:0) -> l10(x293:0) :|: x293:0 > -1 && x305:0 > 0
l10(x2) -> l10(x2) :|: x2 > -1 && x16 < 0

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(19) FilterProof (EQUIVALENT)
Used the following sort dictionary for filtering: 
l10(INTEGER)
Replaced non-predefined constructor symbols by 0.
----------------------------------------

(20)
Obligation:
Rules:
l10(x293:0) -> l10(x293:0) :|: x293:0 > -1 && x305:0 > 0
l10(x2) -> l10(x2) :|: x2 > -1 && x16 < 0

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(21) IntTRSPeriodicNontermProof (COMPLETE)
Normalized system to the following form:
f(pc, x293:0) -> f(1, x293:0) :|: pc = 1 && (x293:0 > -1 && x305:0 > 0)
f(pc, x2) -> f(1, x2) :|: pc = 1 && (x2 > -1 && x16 < 0)
Witness term starting non-terminating reduction: f(1, 3)
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(22)
NO