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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty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, 14.5 s]
(4) IRSwT
(5) IntTRSCompressionProof [EQUIVALENT, 2 ms]
(6) IRSwT
(7) FilterProof [EQUIVALENT, 0 ms]
(8) IntTRS
(9) IntTRSPeriodicNontermProof [COMPLETE, 6 ms]
(10) NO


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

(0)
Obligation:
Rules:
l0(__const_1000HAT0, __rho_1_HAT0, __rho_2_HAT0, __rho_3_HAT0, a33HAT0, a55HAT0, a77HAT0, curtimeHAT0, got_SIGHUPHAT0, last_copy_timeHAT0, ret_XLogArchivingActive44HAT0, ret_time66HAT0, ret_time88HAT0, tmp2HAT0, tt1HAT0, wakendHAT0) -> l1(__const_1000HATpost, __rho_1_HATpost, __rho_2_HATpost, __rho_3_HATpost, a33HATpost, a55HATpost, a77HATpost, curtimeHATpost, got_SIGHUPHATpost, last_copy_timeHATpost, ret_XLogArchivingActive44HATpost, ret_time66HATpost, ret_time88HATpost, tmp2HATpost, tt1HATpost, wakendHATpost) :|: wakendHAT0 = wakendHATpost && tt1HAT0 = tt1HATpost && tmp2HAT0 = tmp2HATpost && ret_time88HAT0 = ret_time88HATpost && ret_time66HAT0 = ret_time66HATpost && ret_XLogArchivingActive44HAT0 = ret_XLogArchivingActive44HATpost && last_copy_timeHAT0 = last_copy_timeHATpost && got_SIGHUPHAT0 = got_SIGHUPHATpost && curtimeHAT0 = curtimeHATpost && a77HAT0 = a77HATpost && a55HAT0 = a55HATpost && a33HAT0 = a33HATpost && __rho_3_HAT0 = __rho_3_HATpost && __rho_2_HAT0 = __rho_2_HATpost && __rho_1_HAT0 = __rho_1_HATpost && __const_1000HAT0 = __const_1000HATpost && got_SIGHUPHAT0 <= 0
l0(x, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15) -> l2(x16, x17, x18, x19, x20, x21, x22, x23, x24, x25, x26, x27, x28, x29, x30, x31) :|: x15 = x31 && x12 = x28 && x11 = x27 && x9 = x25 && x7 = x23 && x6 = x22 && x5 = x21 && x3 = x19 && x2 = x18 && x = x16 && x30 = x29 && x29 = x26 && x26 = x17 && x17 = x17 && x20 = 1 && x24 = 0 && 1 <= x8
l3(x32, x33, x34, x35, x36, x37, x38, x39, x40, x41, x42, x43, x44, x45, x46, x47) -> l4(x48, x49, x50, x51, x52, x53, x54, x55, x56, x57, x58, x59, x60, x61, x62, x63) :|: x47 = x63 && x46 = x62 && x45 = x61 && x44 = x60 && x43 = x59 && x42 = x58 && x41 = x57 && x40 = x56 && x39 = x55 && x38 = x54 && x37 = x53 && x36 = x52 && x35 = x51 && x34 = x50 && x33 = x49 && x32 = x48
l5(x64, x65, x66, x67, x68, x69, x70, x71, x72, x73, x74, x75, x76, x77, x78, x79) -> l6(x80, x81, x82, x83, x84, x85, x86, x87, x88, x89, x90, x91, x92, x93, x94, x95) :|: x79 = x95 && x78 = x94 && x77 = x93 && x76 = x92 && x75 = x91 && x74 = x90 && x73 = x89 && x72 = x88 && x71 = x87 && x70 = x86 && x69 = x85 && x68 = x84 && x67 = x83 && x66 = x82 && x65 = x81 && x64 = x80
l7(x96, x97, x98, x99, x100, x101, x102, x103, x104, x105, x106, x107, x108, x109, x110, x111) -> l5(x112, x113, x114, x115, x116, x117, x118, x119, x120, x121, x122, x123, x124, x125, x126, x127) :|: x111 = x127 && x110 = x126 && x109 = x125 && x108 = x124 && x107 = x123 && x106 = x122 && x105 = x121 && x104 = x120 && x103 = x119 && x102 = x118 && x101 = x117 && x100 = x116 && x99 = x115 && x98 = x114 && x97 = x113 && x96 = x112
l8(x128, x129, x130, x131, x132, x133, x134, x135, x136, x137, x138, x139, x140, x141, x142, x143) -> l7(x144, x145, x146, x147, x148, x149, x150, x151, x152, x153, x154, x155, x156, x157, x158, x159) :|: x143 = x159 && x142 = x158 && x141 = x157 && x140 = x156 && x139 = x155 && x138 = x154 && x137 = x153 && x136 = x152 && x135 = x151 && x134 = x150 && x133 = x149 && x132 = x148 && x131 = x147 && x130 = x146 && x129 = x145 && x128 = x144 && 1 + x135 - x137 <= x128
l8(x160, x161, x162, x163, x164, x165, x166, x167, x168, x169, x170, x171, x172, x173, x174, x175) -> l7(x176, x177, x178, x179, x180, x181, x182, x183, x184, x185, x186, x187, x188, x189, x190, x191) :|: x174 = x190 && x173 = x189 && x172 = x188 && x171 = x187 && x170 = x186 && x169 = x185 && x168 = x184 && x167 = x183 && x166 = x182 && x165 = x181 && x164 = x180 && x163 = x179 && x162 = x178 && x161 = x177 && x160 = x176 && x191 = 1 && x160 <= x167 - x169
l9(x192, x193, x194, x195, x196, x197, x198, x199, x200, x201, x202, x203, x204, x205, x206, x207) -> l7(x208, x209, x210, x211, x212, x213, x214, x215, x216, x217, x218, x219, x220, x221, x222, x223) :|: x207 = x223 && x206 = x222 && x205 = x221 && x204 = x220 && x203 = x219 && x202 = x218 && x201 = x217 && x200 = x216 && x199 = x215 && x198 = x214 && x197 = x213 && x196 = x212 && x195 = x211 && x194 = x210 && x193 = x209 && x192 = x208 && 1 <= x207
l9(x224, x225, x226, x227, x228, x229, x230, x231, x232, x233, x234, x235, x236, x237, x238, x239) -> l8(x240, x241, x242, x243, x244, x245, x246, x247, x248, x249, x250, x251, x252, x253, x254, x255) :|: x239 = x255 && x238 = x254 && x237 = x253 && x235 = x251 && x234 = x250 && x233 = x249 && x232 = x248 && x229 = x245 && x228 = x244 && x226 = x242 && x225 = x241 && x224 = x240 && x247 = x252 && x252 = x243 && x243 = x243 && x246 = 0 && x239 <= 0
l1(x256, x257, x258, x259, x260, x261, x262, x263, x264, x265, x266, x267, x268, x269, x270, x271) -> l9(x272, x273, x274, x275, x276, x277, x278, x279, x280, x281, x282, x283, x284, x285, x286, x287) :|: x271 = x287 && x270 = x286 && x269 = x285 && x268 = x284 && x267 = x283 && x266 = x282 && x265 = x281 && x264 = x280 && x263 = x279 && x262 = x278 && x261 = x277 && x260 = x276 && x259 = x275 && x258 = x274 && x257 = x273 && x256 = x272 && x271 <= 0
l1(x288, x289, x290, x291, x292, x293, x294, x295, x296, x297, x298, x299, x300, x301, x302, x303) -> l9(x304, x305, x306, x307, x308, x309, x310, x311, x312, x313, x314, x315, x316, x317, x318, x319) :|: x302 = x318 && x301 = x317 && x300 = x316 && x298 = x314 && x296 = x312 && x295 = x311 && x294 = x310 && x292 = x308 && x290 = x306 && x289 = x305 && x288 = x304 && x313 = x315 && x315 = x307 && x307 = x307 && x309 = 0 && x319 = 0 && 1 <= x303
l6(x320, x321, x322, x323, x324, x325, x326, x327, x328, x329, x330, x331, x332, x333, x334, x335) -> l10(x336, x337, x338, x339, x340, x341, x342, x343, x344, x345, x346, x347, x348, x349, x350, x351) :|: x335 = x351 && x334 = x350 && x333 = x349 && x332 = x348 && x331 = x347 && x330 = x346 && x329 = x345 && x328 = x344 && x327 = x343 && x326 = x342 && x325 = x341 && x324 = x340 && x323 = x339 && x322 = x338 && x321 = x337 && x320 = x336
l10(x352, x353, x354, x355, x356, x357, x358, x359, x360, x361, x362, x363, x364, x365, x366, x367) -> l6(x368, x369, x370, x371, x372, x373, x374, x375, x376, x377, x378, x379, x380, x381, x382, x383) :|: x367 = x383 && x366 = x382 && x365 = x381 && x364 = x380 && x363 = x379 && x362 = x378 && x361 = x377 && x360 = x376 && x359 = x375 && x358 = x374 && x357 = x373 && x356 = x372 && x355 = x371 && x354 = x370 && x353 = x369 && x352 = x368
l2(x384, x385, x386, x387, x388, x389, x390, x391, x392, x393, x394, x395, x396, x397, x398, x399) -> l1(x400, x401, x402, x403, x404, x405, x406, x407, x408, x409, x410, x411, x412, x413, x414, x415) :|: x399 = x415 && x398 = x414 && x397 = x413 && x396 = x412 && x395 = x411 && x394 = x410 && x393 = x409 && x392 = x408 && x391 = x407 && x390 = x406 && x389 = x405 && x388 = x404 && x387 = x403 && x386 = x402 && x385 = x401 && x384 = x400 && 1 <= x398
l2(x416, x417, x418, x419, x420, x421, x422, x423, x424, x425, x426, x427, x428, x429, x430, x431) -> l5(x432, x433, x434, x435, x436, x437, x438, x439, x440, x441, x442, x443, x444, x445, x446, x447) :|: x431 = x447 && x430 = x446 && x429 = x445 && x428 = x444 && x427 = x443 && x426 = x442 && x425 = x441 && x424 = x440 && x423 = x439 && x422 = x438 && x421 = x437 && x420 = x436 && x419 = x435 && x418 = x434 && x417 = x433 && x416 = x432 && x430 <= 0
l11(x448, x449, x450, x451, x452, x453, x454, x455, x456, x457, x458, x459, x460, x461, x462, x463) -> l0(x464, x465, x466, x467, x468, x469, x470, x471, x472, x473, x474, x475, x476, x477, x478, x479) :|: x466 = x466 && x480 = 1 && x472 = x466 && x479 = 1 && x448 = x464 && x449 = x465 && x451 = x467 && x452 = x468 && x453 = x469 && x454 = x470 && x455 = x471 && x457 = x473 && x458 = x474 && x459 = x475 && x460 = x476 && x461 = x477 && x462 = x478
l12(x481, x482, x483, x484, x485, x486, x487, x488, x489, x490, x491, x492, x493, x494, x495, x496) -> l11(x497, x498, x499, x500, x501, x502, x503, x504, x505, x506, x507, x508, x509, x510, x511, x512) :|: x496 = x512 && x495 = x511 && x494 = x510 && x493 = x509 && x492 = x508 && x491 = x507 && x490 = x506 && x489 = x505 && x488 = x504 && x487 = x503 && x486 = x502 && x485 = x501 && x484 = x500 && x483 = x499 && x482 = x498 && x481 = x497
Start term: l12(__const_1000HAT0, __rho_1_HAT0, __rho_2_HAT0, __rho_3_HAT0, a33HAT0, a55HAT0, a77HAT0, curtimeHAT0, got_SIGHUPHAT0, last_copy_timeHAT0, ret_XLogArchivingActive44HAT0, ret_time66HAT0, ret_time88HAT0, tmp2HAT0, tt1HAT0, wakendHAT0)

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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_1000HAT0, __rho_1_HAT0, __rho_2_HAT0, __rho_3_HAT0, a33HAT0, a55HAT0, a77HAT0, curtimeHAT0, got_SIGHUPHAT0, last_copy_timeHAT0, ret_XLogArchivingActive44HAT0, ret_time66HAT0, ret_time88HAT0, tmp2HAT0, tt1HAT0, wakendHAT0) -> l1(__const_1000HATpost, __rho_1_HATpost, __rho_2_HATpost, __rho_3_HATpost, a33HATpost, a55HATpost, a77HATpost, curtimeHATpost, got_SIGHUPHATpost, last_copy_timeHATpost, ret_XLogArchivingActive44HATpost, ret_time66HATpost, ret_time88HATpost, tmp2HATpost, tt1HATpost, wakendHATpost) :|: wakendHAT0 = wakendHATpost && tt1HAT0 = tt1HATpost && tmp2HAT0 = tmp2HATpost && ret_time88HAT0 = ret_time88HATpost && ret_time66HAT0 = ret_time66HATpost && ret_XLogArchivingActive44HAT0 = ret_XLogArchivingActive44HATpost && last_copy_timeHAT0 = last_copy_timeHATpost && got_SIGHUPHAT0 = got_SIGHUPHATpost && curtimeHAT0 = curtimeHATpost && a77HAT0 = a77HATpost && a55HAT0 = a55HATpost && a33HAT0 = a33HATpost && __rho_3_HAT0 = __rho_3_HATpost && __rho_2_HAT0 = __rho_2_HATpost && __rho_1_HAT0 = __rho_1_HATpost && __const_1000HAT0 = __const_1000HATpost && got_SIGHUPHAT0 <= 0
l0(x, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15) -> l2(x16, x17, x18, x19, x20, x21, x22, x23, x24, x25, x26, x27, x28, x29, x30, x31) :|: x15 = x31 && x12 = x28 && x11 = x27 && x9 = x25 && x7 = x23 && x6 = x22 && x5 = x21 && x3 = x19 && x2 = x18 && x = x16 && x30 = x29 && x29 = x26 && x26 = x17 && x17 = x17 && x20 = 1 && x24 = 0 && 1 <= x8
l3(x32, x33, x34, x35, x36, x37, x38, x39, x40, x41, x42, x43, x44, x45, x46, x47) -> l4(x48, x49, x50, x51, x52, x53, x54, x55, x56, x57, x58, x59, x60, x61, x62, x63) :|: x47 = x63 && x46 = x62 && x45 = x61 && x44 = x60 && x43 = x59 && x42 = x58 && x41 = x57 && x40 = x56 && x39 = x55 && x38 = x54 && x37 = x53 && x36 = x52 && x35 = x51 && x34 = x50 && x33 = x49 && x32 = x48
l5(x64, x65, x66, x67, x68, x69, x70, x71, x72, x73, x74, x75, x76, x77, x78, x79) -> l6(x80, x81, x82, x83, x84, x85, x86, x87, x88, x89, x90, x91, x92, x93, x94, x95) :|: x79 = x95 && x78 = x94 && x77 = x93 && x76 = x92 && x75 = x91 && x74 = x90 && x73 = x89 && x72 = x88 && x71 = x87 && x70 = x86 && x69 = x85 && x68 = x84 && x67 = x83 && x66 = x82 && x65 = x81 && x64 = x80
l7(x96, x97, x98, x99, x100, x101, x102, x103, x104, x105, x106, x107, x108, x109, x110, x111) -> l5(x112, x113, x114, x115, x116, x117, x118, x119, x120, x121, x122, x123, x124, x125, x126, x127) :|: x111 = x127 && x110 = x126 && x109 = x125 && x108 = x124 && x107 = x123 && x106 = x122 && x105 = x121 && x104 = x120 && x103 = x119 && x102 = x118 && x101 = x117 && x100 = x116 && x99 = x115 && x98 = x114 && x97 = x113 && x96 = x112
l8(x128, x129, x130, x131, x132, x133, x134, x135, x136, x137, x138, x139, x140, x141, x142, x143) -> l7(x144, x145, x146, x147, x148, x149, x150, x151, x152, x153, x154, x155, x156, x157, x158, x159) :|: x143 = x159 && x142 = x158 && x141 = x157 && x140 = x156 && x139 = x155 && x138 = x154 && x137 = x153 && x136 = x152 && x135 = x151 && x134 = x150 && x133 = x149 && x132 = x148 && x131 = x147 && x130 = x146 && x129 = x145 && x128 = x144 && 1 + x135 - x137 <= x128
l8(x160, x161, x162, x163, x164, x165, x166, x167, x168, x169, x170, x171, x172, x173, x174, x175) -> l7(x176, x177, x178, x179, x180, x181, x182, x183, x184, x185, x186, x187, x188, x189, x190, x191) :|: x174 = x190 && x173 = x189 && x172 = x188 && x171 = x187 && x170 = x186 && x169 = x185 && x168 = x184 && x167 = x183 && x166 = x182 && x165 = x181 && x164 = x180 && x163 = x179 && x162 = x178 && x161 = x177 && x160 = x176 && x191 = 1 && x160 <= x167 - x169
l9(x192, x193, x194, x195, x196, x197, x198, x199, x200, x201, x202, x203, x204, x205, x206, x207) -> l7(x208, x209, x210, x211, x212, x213, x214, x215, x216, x217, x218, x219, x220, x221, x222, x223) :|: x207 = x223 && x206 = x222 && x205 = x221 && x204 = x220 && x203 = x219 && x202 = x218 && x201 = x217 && x200 = x216 && x199 = x215 && x198 = x214 && x197 = x213 && x196 = x212 && x195 = x211 && x194 = x210 && x193 = x209 && x192 = x208 && 1 <= x207
l9(x224, x225, x226, x227, x228, x229, x230, x231, x232, x233, x234, x235, x236, x237, x238, x239) -> l8(x240, x241, x242, x243, x244, x245, x246, x247, x248, x249, x250, x251, x252, x253, x254, x255) :|: x239 = x255 && x238 = x254 && x237 = x253 && x235 = x251 && x234 = x250 && x233 = x249 && x232 = x248 && x229 = x245 && x228 = x244 && x226 = x242 && x225 = x241 && x224 = x240 && x247 = x252 && x252 = x243 && x243 = x243 && x246 = 0 && x239 <= 0
l1(x256, x257, x258, x259, x260, x261, x262, x263, x264, x265, x266, x267, x268, x269, x270, x271) -> l9(x272, x273, x274, x275, x276, x277, x278, x279, x280, x281, x282, x283, x284, x285, x286, x287) :|: x271 = x287 && x270 = x286 && x269 = x285 && x268 = x284 && x267 = x283 && x266 = x282 && x265 = x281 && x264 = x280 && x263 = x279 && x262 = x278 && x261 = x277 && x260 = x276 && x259 = x275 && x258 = x274 && x257 = x273 && x256 = x272 && x271 <= 0
l1(x288, x289, x290, x291, x292, x293, x294, x295, x296, x297, x298, x299, x300, x301, x302, x303) -> l9(x304, x305, x306, x307, x308, x309, x310, x311, x312, x313, x314, x315, x316, x317, x318, x319) :|: x302 = x318 && x301 = x317 && x300 = x316 && x298 = x314 && x296 = x312 && x295 = x311 && x294 = x310 && x292 = x308 && x290 = x306 && x289 = x305 && x288 = x304 && x313 = x315 && x315 = x307 && x307 = x307 && x309 = 0 && x319 = 0 && 1 <= x303
l6(x320, x321, x322, x323, x324, x325, x326, x327, x328, x329, x330, x331, x332, x333, x334, x335) -> l10(x336, x337, x338, x339, x340, x341, x342, x343, x344, x345, x346, x347, x348, x349, x350, x351) :|: x335 = x351 && x334 = x350 && x333 = x349 && x332 = x348 && x331 = x347 && x330 = x346 && x329 = x345 && x328 = x344 && x327 = x343 && x326 = x342 && x325 = x341 && x324 = x340 && x323 = x339 && x322 = x338 && x321 = x337 && x320 = x336
l10(x352, x353, x354, x355, x356, x357, x358, x359, x360, x361, x362, x363, x364, x365, x366, x367) -> l6(x368, x369, x370, x371, x372, x373, x374, x375, x376, x377, x378, x379, x380, x381, x382, x383) :|: x367 = x383 && x366 = x382 && x365 = x381 && x364 = x380 && x363 = x379 && x362 = x378 && x361 = x377 && x360 = x376 && x359 = x375 && x358 = x374 && x357 = x373 && x356 = x372 && x355 = x371 && x354 = x370 && x353 = x369 && x352 = x368
l2(x384, x385, x386, x387, x388, x389, x390, x391, x392, x393, x394, x395, x396, x397, x398, x399) -> l1(x400, x401, x402, x403, x404, x405, x406, x407, x408, x409, x410, x411, x412, x413, x414, x415) :|: x399 = x415 && x398 = x414 && x397 = x413 && x396 = x412 && x395 = x411 && x394 = x410 && x393 = x409 && x392 = x408 && x391 = x407 && x390 = x406 && x389 = x405 && x388 = x404 && x387 = x403 && x386 = x402 && x385 = x401 && x384 = x400 && 1 <= x398
l2(x416, x417, x418, x419, x420, x421, x422, x423, x424, x425, x426, x427, x428, x429, x430, x431) -> l5(x432, x433, x434, x435, x436, x437, x438, x439, x440, x441, x442, x443, x444, x445, x446, x447) :|: x431 = x447 && x430 = x446 && x429 = x445 && x428 = x444 && x427 = x443 && x426 = x442 && x425 = x441 && x424 = x440 && x423 = x439 && x422 = x438 && x421 = x437 && x420 = x436 && x419 = x435 && x418 = x434 && x417 = x433 && x416 = x432 && x430 <= 0
l11(x448, x449, x450, x451, x452, x453, x454, x455, x456, x457, x458, x459, x460, x461, x462, x463) -> l0(x464, x465, x466, x467, x468, x469, x470, x471, x472, x473, x474, x475, x476, x477, x478, x479) :|: x466 = x466 && x480 = 1 && x472 = x466 && x479 = 1 && x448 = x464 && x449 = x465 && x451 = x467 && x452 = x468 && x453 = x469 && x454 = x470 && x455 = x471 && x457 = x473 && x458 = x474 && x459 = x475 && x460 = x476 && x461 = x477 && x462 = x478
l12(x481, x482, x483, x484, x485, x486, x487, x488, x489, x490, x491, x492, x493, x494, x495, x496) -> l11(x497, x498, x499, x500, x501, x502, x503, x504, x505, x506, x507, x508, x509, x510, x511, x512) :|: x496 = x512 && x495 = x511 && x494 = x510 && x493 = x509 && x492 = x508 && x491 = x507 && x490 = x506 && x489 = x505 && x488 = x504 && x487 = x503 && x486 = x502 && x485 = x501 && x484 = x500 && x483 = x499 && x482 = x498 && x481 = x497
Start term: l12(__const_1000HAT0, __rho_1_HAT0, __rho_2_HAT0, __rho_3_HAT0, a33HAT0, a55HAT0, a77HAT0, curtimeHAT0, got_SIGHUPHAT0, last_copy_timeHAT0, ret_XLogArchivingActive44HAT0, ret_time66HAT0, ret_time88HAT0, tmp2HAT0, tt1HAT0, wakendHAT0)

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(3) IRSwTTerminationDigraphProof (EQUIVALENT)
Constructed termination digraph!
Nodes:
(1) l0(__const_1000HAT0, __rho_1_HAT0, __rho_2_HAT0, __rho_3_HAT0, a33HAT0, a55HAT0, a77HAT0, curtimeHAT0, got_SIGHUPHAT0, last_copy_timeHAT0, ret_XLogArchivingActive44HAT0, ret_time66HAT0, ret_time88HAT0, tmp2HAT0, tt1HAT0, wakendHAT0) -> l1(__const_1000HATpost, __rho_1_HATpost, __rho_2_HATpost, __rho_3_HATpost, a33HATpost, a55HATpost, a77HATpost, curtimeHATpost, got_SIGHUPHATpost, last_copy_timeHATpost, ret_XLogArchivingActive44HATpost, ret_time66HATpost, ret_time88HATpost, tmp2HATpost, tt1HATpost, wakendHATpost) :|: wakendHAT0 = wakendHATpost && tt1HAT0 = tt1HATpost && tmp2HAT0 = tmp2HATpost && ret_time88HAT0 = ret_time88HATpost && ret_time66HAT0 = ret_time66HATpost && ret_XLogArchivingActive44HAT0 = ret_XLogArchivingActive44HATpost && last_copy_timeHAT0 = last_copy_timeHATpost && got_SIGHUPHAT0 = got_SIGHUPHATpost && curtimeHAT0 = curtimeHATpost && a77HAT0 = a77HATpost && a55HAT0 = a55HATpost && a33HAT0 = a33HATpost && __rho_3_HAT0 = __rho_3_HATpost && __rho_2_HAT0 = __rho_2_HATpost && __rho_1_HAT0 = __rho_1_HATpost && __const_1000HAT0 = __const_1000HATpost && got_SIGHUPHAT0 <= 0
(2) l0(x, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15) -> l2(x16, x17, x18, x19, x20, x21, x22, x23, x24, x25, x26, x27, x28, x29, x30, x31) :|: x15 = x31 && x12 = x28 && x11 = x27 && x9 = x25 && x7 = x23 && x6 = x22 && x5 = x21 && x3 = x19 && x2 = x18 && x = x16 && x30 = x29 && x29 = x26 && x26 = x17 && x17 = x17 && x20 = 1 && x24 = 0 && 1 <= x8
(3) l3(x32, x33, x34, x35, x36, x37, x38, x39, x40, x41, x42, x43, x44, x45, x46, x47) -> l4(x48, x49, x50, x51, x52, x53, x54, x55, x56, x57, x58, x59, x60, x61, x62, x63) :|: x47 = x63 && x46 = x62 && x45 = x61 && x44 = x60 && x43 = x59 && x42 = x58 && x41 = x57 && x40 = x56 && x39 = x55 && x38 = x54 && x37 = x53 && x36 = x52 && x35 = x51 && x34 = x50 && x33 = x49 && x32 = x48
(4) l5(x64, x65, x66, x67, x68, x69, x70, x71, x72, x73, x74, x75, x76, x77, x78, x79) -> l6(x80, x81, x82, x83, x84, x85, x86, x87, x88, x89, x90, x91, x92, x93, x94, x95) :|: x79 = x95 && x78 = x94 && x77 = x93 && x76 = x92 && x75 = x91 && x74 = x90 && x73 = x89 && x72 = x88 && x71 = x87 && x70 = x86 && x69 = x85 && x68 = x84 && x67 = x83 && x66 = x82 && x65 = x81 && x64 = x80
(5) l7(x96, x97, x98, x99, x100, x101, x102, x103, x104, x105, x106, x107, x108, x109, x110, x111) -> l5(x112, x113, x114, x115, x116, x117, x118, x119, x120, x121, x122, x123, x124, x125, x126, x127) :|: x111 = x127 && x110 = x126 && x109 = x125 && x108 = x124 && x107 = x123 && x106 = x122 && x105 = x121 && x104 = x120 && x103 = x119 && x102 = x118 && x101 = x117 && x100 = x116 && x99 = x115 && x98 = x114 && x97 = x113 && x96 = x112
(6) l8(x128, x129, x130, x131, x132, x133, x134, x135, x136, x137, x138, x139, x140, x141, x142, x143) -> l7(x144, x145, x146, x147, x148, x149, x150, x151, x152, x153, x154, x155, x156, x157, x158, x159) :|: x143 = x159 && x142 = x158 && x141 = x157 && x140 = x156 && x139 = x155 && x138 = x154 && x137 = x153 && x136 = x152 && x135 = x151 && x134 = x150 && x133 = x149 && x132 = x148 && x131 = x147 && x130 = x146 && x129 = x145 && x128 = x144 && 1 + x135 - x137 <= x128
(7) l8(x160, x161, x162, x163, x164, x165, x166, x167, x168, x169, x170, x171, x172, x173, x174, x175) -> l7(x176, x177, x178, x179, x180, x181, x182, x183, x184, x185, x186, x187, x188, x189, x190, x191) :|: x174 = x190 && x173 = x189 && x172 = x188 && x171 = x187 && x170 = x186 && x169 = x185 && x168 = x184 && x167 = x183 && x166 = x182 && x165 = x181 && x164 = x180 && x163 = x179 && x162 = x178 && x161 = x177 && x160 = x176 && x191 = 1 && x160 <= x167 - x169
(8) l9(x192, x193, x194, x195, x196, x197, x198, x199, x200, x201, x202, x203, x204, x205, x206, x207) -> l7(x208, x209, x210, x211, x212, x213, x214, x215, x216, x217, x218, x219, x220, x221, x222, x223) :|: x207 = x223 && x206 = x222 && x205 = x221 && x204 = x220 && x203 = x219 && x202 = x218 && x201 = x217 && x200 = x216 && x199 = x215 && x198 = x214 && x197 = x213 && x196 = x212 && x195 = x211 && x194 = x210 && x193 = x209 && x192 = x208 && 1 <= x207
(9) l9(x224, x225, x226, x227, x228, x229, x230, x231, x232, x233, x234, x235, x236, x237, x238, x239) -> l8(x240, x241, x242, x243, x244, x245, x246, x247, x248, x249, x250, x251, x252, x253, x254, x255) :|: x239 = x255 && x238 = x254 && x237 = x253 && x235 = x251 && x234 = x250 && x233 = x249 && x232 = x248 && x229 = x245 && x228 = x244 && x226 = x242 && x225 = x241 && x224 = x240 && x247 = x252 && x252 = x243 && x243 = x243 && x246 = 0 && x239 <= 0
(10) l1(x256, x257, x258, x259, x260, x261, x262, x263, x264, x265, x266, x267, x268, x269, x270, x271) -> l9(x272, x273, x274, x275, x276, x277, x278, x279, x280, x281, x282, x283, x284, x285, x286, x287) :|: x271 = x287 && x270 = x286 && x269 = x285 && x268 = x284 && x267 = x283 && x266 = x282 && x265 = x281 && x264 = x280 && x263 = x279 && x262 = x278 && x261 = x277 && x260 = x276 && x259 = x275 && x258 = x274 && x257 = x273 && x256 = x272 && x271 <= 0
(11) l1(x288, x289, x290, x291, x292, x293, x294, x295, x296, x297, x298, x299, x300, x301, x302, x303) -> l9(x304, x305, x306, x307, x308, x309, x310, x311, x312, x313, x314, x315, x316, x317, x318, x319) :|: x302 = x318 && x301 = x317 && x300 = x316 && x298 = x314 && x296 = x312 && x295 = x311 && x294 = x310 && x292 = x308 && x290 = x306 && x289 = x305 && x288 = x304 && x313 = x315 && x315 = x307 && x307 = x307 && x309 = 0 && x319 = 0 && 1 <= x303
(12) l6(x320, x321, x322, x323, x324, x325, x326, x327, x328, x329, x330, x331, x332, x333, x334, x335) -> l10(x336, x337, x338, x339, x340, x341, x342, x343, x344, x345, x346, x347, x348, x349, x350, x351) :|: x335 = x351 && x334 = x350 && x333 = x349 && x332 = x348 && x331 = x347 && x330 = x346 && x329 = x345 && x328 = x344 && x327 = x343 && x326 = x342 && x325 = x341 && x324 = x340 && x323 = x339 && x322 = x338 && x321 = x337 && x320 = x336
(13) l10(x352, x353, x354, x355, x356, x357, x358, x359, x360, x361, x362, x363, x364, x365, x366, x367) -> l6(x368, x369, x370, x371, x372, x373, x374, x375, x376, x377, x378, x379, x380, x381, x382, x383) :|: x367 = x383 && x366 = x382 && x365 = x381 && x364 = x380 && x363 = x379 && x362 = x378 && x361 = x377 && x360 = x376 && x359 = x375 && x358 = x374 && x357 = x373 && x356 = x372 && x355 = x371 && x354 = x370 && x353 = x369 && x352 = x368
(14) l2(x384, x385, x386, x387, x388, x389, x390, x391, x392, x393, x394, x395, x396, x397, x398, x399) -> l1(x400, x401, x402, x403, x404, x405, x406, x407, x408, x409, x410, x411, x412, x413, x414, x415) :|: x399 = x415 && x398 = x414 && x397 = x413 && x396 = x412 && x395 = x411 && x394 = x410 && x393 = x409 && x392 = x408 && x391 = x407 && x390 = x406 && x389 = x405 && x388 = x404 && x387 = x403 && x386 = x402 && x385 = x401 && x384 = x400 && 1 <= x398
(15) l2(x416, x417, x418, x419, x420, x421, x422, x423, x424, x425, x426, x427, x428, x429, x430, x431) -> l5(x432, x433, x434, x435, x436, x437, x438, x439, x440, x441, x442, x443, x444, x445, x446, x447) :|: x431 = x447 && x430 = x446 && x429 = x445 && x428 = x444 && x427 = x443 && x426 = x442 && x425 = x441 && x424 = x440 && x423 = x439 && x422 = x438 && x421 = x437 && x420 = x436 && x419 = x435 && x418 = x434 && x417 = x433 && x416 = x432 && x430 <= 0
(16) l11(x448, x449, x450, x451, x452, x453, x454, x455, x456, x457, x458, x459, x460, x461, x462, x463) -> l0(x464, x465, x466, x467, x468, x469, x470, x471, x472, x473, x474, x475, x476, x477, x478, x479) :|: x466 = x466 && x480 = 1 && x472 = x466 && x479 = 1 && x448 = x464 && x449 = x465 && x451 = x467 && x452 = x468 && x453 = x469 && x454 = x470 && x455 = x471 && x457 = x473 && x458 = x474 && x459 = x475 && x460 = x476 && x461 = x477 && x462 = x478
(17) l12(x481, x482, x483, x484, x485, x486, x487, x488, x489, x490, x491, x492, x493, x494, x495, x496) -> l11(x497, x498, x499, x500, x501, x502, x503, x504, x505, x506, x507, x508, x509, x510, x511, x512) :|: x496 = x512 && x495 = x511 && x494 = x510 && x493 = x509 && x492 = x508 && x491 = x507 && x490 = x506 && x489 = x505 && x488 = x504 && x487 = x503 && x486 = x502 && x485 = x501 && x484 = x500 && x483 = x499 && x482 = x498 && x481 = x497

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

This digraph is fully evaluated!
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(4)
Obligation:

Termination digraph:
Nodes:
(1) l6(x320, x321, x322, x323, x324, x325, x326, x327, x328, x329, x330, x331, x332, x333, x334, x335) -> l10(x336, x337, x338, x339, x340, x341, x342, x343, x344, x345, x346, x347, x348, x349, x350, x351) :|: x335 = x351 && x334 = x350 && x333 = x349 && x332 = x348 && x331 = x347 && x330 = x346 && x329 = x345 && x328 = x344 && x327 = x343 && x326 = x342 && x325 = x341 && x324 = x340 && x323 = x339 && x322 = x338 && x321 = x337 && x320 = x336
(2) l10(x352, x353, x354, x355, x356, x357, x358, x359, x360, x361, x362, x363, x364, x365, x366, x367) -> l6(x368, x369, x370, x371, x372, x373, x374, x375, x376, x377, x378, x379, x380, x381, x382, x383) :|: x367 = x383 && x366 = x382 && x365 = x381 && x364 = x380 && x363 = x379 && x362 = x378 && x361 = x377 && x360 = x376 && x359 = x375 && x358 = x374 && x357 = x373 && x356 = x372 && x355 = x371 && x354 = x370 && x353 = x369 && x352 = x368

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

This digraph is fully evaluated!

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(5) IntTRSCompressionProof (EQUIVALENT)
Compressed rules.
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(6)
Obligation:
Rules:
l6(x320:0, x321:0, x322:0, x323:0, x324:0, x325:0, x326:0, x327:0, x328:0, x329:0, x330:0, x331:0, x332:0, x333:0, x334:0, x335:0) -> l6(x320:0, x321:0, x322:0, x323:0, x324:0, x325:0, x326:0, x327:0, x328:0, x329:0, x330:0, x331:0, x332:0, x333:0, x334:0, x335:0) :|: TRUE

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(7) FilterProof (EQUIVALENT)
Used the following sort dictionary for filtering: 
l6(VARIABLE, VARIABLE, VARIABLE, VARIABLE, VARIABLE, VARIABLE, VARIABLE, VARIABLE, VARIABLE, VARIABLE, VARIABLE, VARIABLE, VARIABLE, VARIABLE, VARIABLE, VARIABLE)
Replaced non-predefined constructor symbols by 0.
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(8)
Obligation:
Rules:
l6(x320:0, x321:0, x322:0, x323:0, x324:0, x325:0, x326:0, x327:0, x328:0, x329:0, x330:0, x331:0, x332:0, x333:0, x334:0, x335:0) -> l6(x320:0, x321:0, x322:0, x323:0, x324:0, x325:0, x326:0, x327:0, x328:0, x329:0, x330:0, x331:0, x332:0, x333:0, x334:0, x335:0) :|: TRUE

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(9) IntTRSPeriodicNontermProof (COMPLETE)
Normalized system to the following form:
f(pc, x320:0, x321:0, x322:0, x323:0, x324:0, x325:0, x326:0, x327:0, x328:0, x329:0, x330:0, x331:0, x332:0, x333:0, x334:0, x335:0) -> f(1, x320:0, x321:0, x322:0, x323:0, x324:0, x325:0, x326:0, x327:0, x328:0, x329:0, x330:0, x331:0, x332:0, x333:0, x334:0, x335:0) :|: pc = 1 && TRUE
Witness term starting non-terminating reduction: f(1, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8)
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(10)
NO