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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty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, 8069 ms]
(4) IRSwT
(5) IntTRSCompressionProof [EQUIVALENT, 29 ms]
(6) IRSwT
(7) FilterProof [EQUIVALENT, 0 ms]
(8) IntTRS
(9) IntTRSPeriodicNontermProof [COMPLETE, 6 ms]
(10) NO


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(0)
Obligation:
Rules:
l0(__const_1000HAT0, __rho_2_HAT0, __rho_3_HAT0, __rho_4_HAT0, __rho_5_HAT0, a22HAT0, curtimeHAT0, got_SIGHUPHAT0, last_copy_timeHAT0, tt1HAT0, wakendHAT0) -> l1(__const_1000HATpost, __rho_2_HATpost, __rho_3_HATpost, __rho_4_HATpost, __rho_5_HATpost, a22HATpost, curtimeHATpost, got_SIGHUPHATpost, last_copy_timeHATpost, tt1HATpost, wakendHATpost) :|: wakendHAT0 = wakendHATpost && tt1HAT0 = tt1HATpost && last_copy_timeHAT0 = last_copy_timeHATpost && got_SIGHUPHAT0 = got_SIGHUPHATpost && curtimeHAT0 = curtimeHATpost && a22HAT0 = a22HATpost && __rho_5_HAT0 = __rho_5_HATpost && __rho_4_HAT0 = __rho_4_HATpost && __rho_3_HAT0 = __rho_3_HATpost && __rho_2_HAT0 = __rho_2_HATpost && __const_1000HAT0 = __const_1000HATpost && got_SIGHUPHAT0 <= 0
l0(x, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10) -> l2(x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21) :|: x10 = x21 && x8 = x19 && x6 = x17 && x4 = x15 && x3 = x14 && x1 = x12 && x = x11 && x20 = x13 && x13 = x13 && x16 = 1 && x18 = 0 && 1 <= x7
l3(x22, x23, x24, x25, x26, x27, x28, x29, x30, x31, x32) -> l4(x33, x34, x35, x36, x37, x38, x39, x40, x41, x42, x43) :|: x32 = x43 && x31 = x42 && x30 = x41 && x29 = x40 && x28 = x39 && x27 = x38 && x26 = x37 && x25 = x36 && x24 = x35 && x23 = x34 && x22 = x33
l5(x44, x45, x46, x47, x48, x49, x50, x51, x52, x53, x54) -> l6(x55, x56, x57, x58, x59, x60, x61, x62, x63, x64, x65) :|: x54 = x65 && x53 = x64 && x52 = x63 && x51 = x62 && x50 = x61 && x49 = x60 && x48 = x59 && x47 = x58 && x46 = x57 && x45 = x56 && x44 = x55
l7(x66, x67, x68, x69, x70, x71, x72, x73, x74, x75, x76) -> l5(x77, x78, x79, x80, x81, x82, x83, x84, x85, x86, x87) :|: x76 = x87 && x75 = x86 && x74 = x85 && x73 = x84 && x72 = x83 && x71 = x82 && x69 = x80 && x68 = x79 && x67 = x78 && x66 = x77 && x81 = x81
l8(x88, x89, x90, x91, x92, x93, x94, x95, x96, x97, x98) -> l7(x99, x100, x101, x102, x103, x104, x105, x106, x107, x108, x109) :|: x98 = x109 && x97 = x108 && x96 = x107 && x95 = x106 && x94 = x105 && x93 = x104 && x92 = x103 && x91 = x102 && x90 = x101 && x89 = x100 && x88 = x99 && 1 + x94 - x96 <= x88
l8(x110, x111, x112, x113, x114, x115, x116, x117, x118, x119, x120) -> l7(x121, x122, x123, x124, x125, x126, x127, x128, x129, x130, x131) :|: x119 = x130 && x118 = x129 && x117 = x128 && x116 = x127 && x115 = x126 && x114 = x125 && x113 = x124 && x112 = x123 && x111 = x122 && x110 = x121 && x131 = 1 && x110 <= x116 - x118
l9(x132, x133, x134, x135, x136, x137, x138, x139, x140, x141, x142) -> l7(x143, x144, x145, x146, x147, x148, x149, x150, x151, x152, x153) :|: x142 = x153 && x141 = x152 && x140 = x151 && x139 = x150 && x138 = x149 && x137 = x148 && x136 = x147 && x135 = x146 && x134 = x145 && x133 = x144 && x132 = x143 && 1 <= x142
l9(x154, x155, x156, x157, x158, x159, x160, x161, x162, x163, x164) -> l8(x165, x166, x167, x168, x169, x170, x171, x172, x173, x174, x175) :|: x164 = x175 && x163 = x174 && x162 = x173 && x161 = x172 && x159 = x170 && x158 = x169 && x157 = x168 && x156 = x167 && x155 = x166 && x154 = x165 && x171 = x171 && x164 <= 0
l6(x176, x177, x178, x179, x180, x181, x182, x183, x184, x185, x186) -> l10(x187, x188, x189, x190, x191, x192, x193, x194, x195, x196, x197) :|: x186 = x197 && x185 = x196 && x184 = x195 && x183 = x194 && x182 = x193 && x181 = x192 && x180 = x191 && x179 = x190 && x178 = x189 && x177 = x188 && x176 = x187
l10(x198, x199, x200, x201, x202, x203, x204, x205, x206, x207, x208) -> l6(x209, x210, x211, x212, x213, x214, x215, x216, x217, x218, x219) :|: x208 = x219 && x207 = x218 && x206 = x217 && x205 = x216 && x204 = x215 && x203 = x214 && x202 = x213 && x201 = x212 && x200 = x211 && x199 = x210 && x198 = x209
l1(x220, x221, x222, x223, x224, x225, x226, x227, x228, x229, x230) -> l9(x231, x232, x233, x234, x235, x236, x237, x238, x239, x240, x241) :|: x230 = x241 && x229 = x240 && x228 = x239 && x227 = x238 && x226 = x237 && x225 = x236 && x224 = x235 && x223 = x234 && x222 = x233 && x221 = x232 && x220 = x231 && x230 <= 0
l1(x242, x243, x244, x245, x246, x247, x248, x249, x250, x251, x252) -> l9(x253, x254, x255, x256, x257, x258, x259, x260, x261, x262, x263) :|: x251 = x262 && x249 = x260 && x248 = x259 && x247 = x258 && x246 = x257 && x244 = x255 && x243 = x254 && x242 = x253 && x261 = x256 && x256 = x256 && x263 = 0 && 1 <= x252
l2(x264, x265, x266, x267, x268, x269, x270, x271, x272, x273, x274) -> l1(x275, x276, x277, x278, x279, x280, x281, x282, x283, x284, x285) :|: x274 = x285 && x273 = x284 && x272 = x283 && x271 = x282 && x270 = x281 && x269 = x280 && x268 = x279 && x267 = x278 && x266 = x277 && x265 = x276 && x264 = x275 && 1 <= x273
l2(x286, x287, x288, x289, x290, x291, x292, x293, x294, x295, x296) -> l5(x297, x298, x299, x300, x301, x302, x303, x304, x305, x306, x307) :|: x296 = x307 && x295 = x306 && x294 = x305 && x293 = x304 && x292 = x303 && x291 = x302 && x290 = x301 && x289 = x300 && x288 = x299 && x287 = x298 && x286 = x297 && x295 <= 0
l11(x308, x309, x310, x311, x312, x313, x314, x315, x316, x317, x318) -> l0(x319, x320, x321, x322, x323, x324, x325, x326, x327, x328, x329) :|: x330 = 1 && x320 = x320 && x326 = x320 && x329 = 1 && x308 = x319 && x310 = x321 && x311 = x322 && x312 = x323 && x313 = x324 && x314 = x325 && x316 = x327 && x317 = x328
l12(x331, x332, x333, x334, x335, x336, x337, x338, x339, x340, x341) -> l11(x342, x343, x344, x345, x346, x347, x348, x349, x350, x351, x352) :|: x341 = x352 && x340 = x351 && x339 = x350 && x338 = x349 && x337 = x348 && x336 = x347 && x335 = x346 && x334 = x345 && x333 = x344 && x332 = x343 && x331 = x342
Start term: l12(__const_1000HAT0, __rho_2_HAT0, __rho_3_HAT0, __rho_4_HAT0, __rho_5_HAT0, a22HAT0, curtimeHAT0, got_SIGHUPHAT0, last_copy_timeHAT0, 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_2_HAT0, __rho_3_HAT0, __rho_4_HAT0, __rho_5_HAT0, a22HAT0, curtimeHAT0, got_SIGHUPHAT0, last_copy_timeHAT0, tt1HAT0, wakendHAT0) -> l1(__const_1000HATpost, __rho_2_HATpost, __rho_3_HATpost, __rho_4_HATpost, __rho_5_HATpost, a22HATpost, curtimeHATpost, got_SIGHUPHATpost, last_copy_timeHATpost, tt1HATpost, wakendHATpost) :|: wakendHAT0 = wakendHATpost && tt1HAT0 = tt1HATpost && last_copy_timeHAT0 = last_copy_timeHATpost && got_SIGHUPHAT0 = got_SIGHUPHATpost && curtimeHAT0 = curtimeHATpost && a22HAT0 = a22HATpost && __rho_5_HAT0 = __rho_5_HATpost && __rho_4_HAT0 = __rho_4_HATpost && __rho_3_HAT0 = __rho_3_HATpost && __rho_2_HAT0 = __rho_2_HATpost && __const_1000HAT0 = __const_1000HATpost && got_SIGHUPHAT0 <= 0
l0(x, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10) -> l2(x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21) :|: x10 = x21 && x8 = x19 && x6 = x17 && x4 = x15 && x3 = x14 && x1 = x12 && x = x11 && x20 = x13 && x13 = x13 && x16 = 1 && x18 = 0 && 1 <= x7
l3(x22, x23, x24, x25, x26, x27, x28, x29, x30, x31, x32) -> l4(x33, x34, x35, x36, x37, x38, x39, x40, x41, x42, x43) :|: x32 = x43 && x31 = x42 && x30 = x41 && x29 = x40 && x28 = x39 && x27 = x38 && x26 = x37 && x25 = x36 && x24 = x35 && x23 = x34 && x22 = x33
l5(x44, x45, x46, x47, x48, x49, x50, x51, x52, x53, x54) -> l6(x55, x56, x57, x58, x59, x60, x61, x62, x63, x64, x65) :|: x54 = x65 && x53 = x64 && x52 = x63 && x51 = x62 && x50 = x61 && x49 = x60 && x48 = x59 && x47 = x58 && x46 = x57 && x45 = x56 && x44 = x55
l7(x66, x67, x68, x69, x70, x71, x72, x73, x74, x75, x76) -> l5(x77, x78, x79, x80, x81, x82, x83, x84, x85, x86, x87) :|: x76 = x87 && x75 = x86 && x74 = x85 && x73 = x84 && x72 = x83 && x71 = x82 && x69 = x80 && x68 = x79 && x67 = x78 && x66 = x77 && x81 = x81
l8(x88, x89, x90, x91, x92, x93, x94, x95, x96, x97, x98) -> l7(x99, x100, x101, x102, x103, x104, x105, x106, x107, x108, x109) :|: x98 = x109 && x97 = x108 && x96 = x107 && x95 = x106 && x94 = x105 && x93 = x104 && x92 = x103 && x91 = x102 && x90 = x101 && x89 = x100 && x88 = x99 && 1 + x94 - x96 <= x88
l8(x110, x111, x112, x113, x114, x115, x116, x117, x118, x119, x120) -> l7(x121, x122, x123, x124, x125, x126, x127, x128, x129, x130, x131) :|: x119 = x130 && x118 = x129 && x117 = x128 && x116 = x127 && x115 = x126 && x114 = x125 && x113 = x124 && x112 = x123 && x111 = x122 && x110 = x121 && x131 = 1 && x110 <= x116 - x118
l9(x132, x133, x134, x135, x136, x137, x138, x139, x140, x141, x142) -> l7(x143, x144, x145, x146, x147, x148, x149, x150, x151, x152, x153) :|: x142 = x153 && x141 = x152 && x140 = x151 && x139 = x150 && x138 = x149 && x137 = x148 && x136 = x147 && x135 = x146 && x134 = x145 && x133 = x144 && x132 = x143 && 1 <= x142
l9(x154, x155, x156, x157, x158, x159, x160, x161, x162, x163, x164) -> l8(x165, x166, x167, x168, x169, x170, x171, x172, x173, x174, x175) :|: x164 = x175 && x163 = x174 && x162 = x173 && x161 = x172 && x159 = x170 && x158 = x169 && x157 = x168 && x156 = x167 && x155 = x166 && x154 = x165 && x171 = x171 && x164 <= 0
l6(x176, x177, x178, x179, x180, x181, x182, x183, x184, x185, x186) -> l10(x187, x188, x189, x190, x191, x192, x193, x194, x195, x196, x197) :|: x186 = x197 && x185 = x196 && x184 = x195 && x183 = x194 && x182 = x193 && x181 = x192 && x180 = x191 && x179 = x190 && x178 = x189 && x177 = x188 && x176 = x187
l10(x198, x199, x200, x201, x202, x203, x204, x205, x206, x207, x208) -> l6(x209, x210, x211, x212, x213, x214, x215, x216, x217, x218, x219) :|: x208 = x219 && x207 = x218 && x206 = x217 && x205 = x216 && x204 = x215 && x203 = x214 && x202 = x213 && x201 = x212 && x200 = x211 && x199 = x210 && x198 = x209
l1(x220, x221, x222, x223, x224, x225, x226, x227, x228, x229, x230) -> l9(x231, x232, x233, x234, x235, x236, x237, x238, x239, x240, x241) :|: x230 = x241 && x229 = x240 && x228 = x239 && x227 = x238 && x226 = x237 && x225 = x236 && x224 = x235 && x223 = x234 && x222 = x233 && x221 = x232 && x220 = x231 && x230 <= 0
l1(x242, x243, x244, x245, x246, x247, x248, x249, x250, x251, x252) -> l9(x253, x254, x255, x256, x257, x258, x259, x260, x261, x262, x263) :|: x251 = x262 && x249 = x260 && x248 = x259 && x247 = x258 && x246 = x257 && x244 = x255 && x243 = x254 && x242 = x253 && x261 = x256 && x256 = x256 && x263 = 0 && 1 <= x252
l2(x264, x265, x266, x267, x268, x269, x270, x271, x272, x273, x274) -> l1(x275, x276, x277, x278, x279, x280, x281, x282, x283, x284, x285) :|: x274 = x285 && x273 = x284 && x272 = x283 && x271 = x282 && x270 = x281 && x269 = x280 && x268 = x279 && x267 = x278 && x266 = x277 && x265 = x276 && x264 = x275 && 1 <= x273
l2(x286, x287, x288, x289, x290, x291, x292, x293, x294, x295, x296) -> l5(x297, x298, x299, x300, x301, x302, x303, x304, x305, x306, x307) :|: x296 = x307 && x295 = x306 && x294 = x305 && x293 = x304 && x292 = x303 && x291 = x302 && x290 = x301 && x289 = x300 && x288 = x299 && x287 = x298 && x286 = x297 && x295 <= 0
l11(x308, x309, x310, x311, x312, x313, x314, x315, x316, x317, x318) -> l0(x319, x320, x321, x322, x323, x324, x325, x326, x327, x328, x329) :|: x330 = 1 && x320 = x320 && x326 = x320 && x329 = 1 && x308 = x319 && x310 = x321 && x311 = x322 && x312 = x323 && x313 = x324 && x314 = x325 && x316 = x327 && x317 = x328
l12(x331, x332, x333, x334, x335, x336, x337, x338, x339, x340, x341) -> l11(x342, x343, x344, x345, x346, x347, x348, x349, x350, x351, x352) :|: x341 = x352 && x340 = x351 && x339 = x350 && x338 = x349 && x337 = x348 && x336 = x347 && x335 = x346 && x334 = x345 && x333 = x344 && x332 = x343 && x331 = x342
Start term: l12(__const_1000HAT0, __rho_2_HAT0, __rho_3_HAT0, __rho_4_HAT0, __rho_5_HAT0, a22HAT0, curtimeHAT0, got_SIGHUPHAT0, last_copy_timeHAT0, tt1HAT0, wakendHAT0)

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(3) IRSwTTerminationDigraphProof (EQUIVALENT)
Constructed termination digraph!
Nodes:
(1) l0(__const_1000HAT0, __rho_2_HAT0, __rho_3_HAT0, __rho_4_HAT0, __rho_5_HAT0, a22HAT0, curtimeHAT0, got_SIGHUPHAT0, last_copy_timeHAT0, tt1HAT0, wakendHAT0) -> l1(__const_1000HATpost, __rho_2_HATpost, __rho_3_HATpost, __rho_4_HATpost, __rho_5_HATpost, a22HATpost, curtimeHATpost, got_SIGHUPHATpost, last_copy_timeHATpost, tt1HATpost, wakendHATpost) :|: wakendHAT0 = wakendHATpost && tt1HAT0 = tt1HATpost && last_copy_timeHAT0 = last_copy_timeHATpost && got_SIGHUPHAT0 = got_SIGHUPHATpost && curtimeHAT0 = curtimeHATpost && a22HAT0 = a22HATpost && __rho_5_HAT0 = __rho_5_HATpost && __rho_4_HAT0 = __rho_4_HATpost && __rho_3_HAT0 = __rho_3_HATpost && __rho_2_HAT0 = __rho_2_HATpost && __const_1000HAT0 = __const_1000HATpost && got_SIGHUPHAT0 <= 0
(2) l0(x, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10) -> l2(x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21) :|: x10 = x21 && x8 = x19 && x6 = x17 && x4 = x15 && x3 = x14 && x1 = x12 && x = x11 && x20 = x13 && x13 = x13 && x16 = 1 && x18 = 0 && 1 <= x7
(3) l3(x22, x23, x24, x25, x26, x27, x28, x29, x30, x31, x32) -> l4(x33, x34, x35, x36, x37, x38, x39, x40, x41, x42, x43) :|: x32 = x43 && x31 = x42 && x30 = x41 && x29 = x40 && x28 = x39 && x27 = x38 && x26 = x37 && x25 = x36 && x24 = x35 && x23 = x34 && x22 = x33
(4) l5(x44, x45, x46, x47, x48, x49, x50, x51, x52, x53, x54) -> l6(x55, x56, x57, x58, x59, x60, x61, x62, x63, x64, x65) :|: x54 = x65 && x53 = x64 && x52 = x63 && x51 = x62 && x50 = x61 && x49 = x60 && x48 = x59 && x47 = x58 && x46 = x57 && x45 = x56 && x44 = x55
(5) l7(x66, x67, x68, x69, x70, x71, x72, x73, x74, x75, x76) -> l5(x77, x78, x79, x80, x81, x82, x83, x84, x85, x86, x87) :|: x76 = x87 && x75 = x86 && x74 = x85 && x73 = x84 && x72 = x83 && x71 = x82 && x69 = x80 && x68 = x79 && x67 = x78 && x66 = x77 && x81 = x81
(6) l8(x88, x89, x90, x91, x92, x93, x94, x95, x96, x97, x98) -> l7(x99, x100, x101, x102, x103, x104, x105, x106, x107, x108, x109) :|: x98 = x109 && x97 = x108 && x96 = x107 && x95 = x106 && x94 = x105 && x93 = x104 && x92 = x103 && x91 = x102 && x90 = x101 && x89 = x100 && x88 = x99 && 1 + x94 - x96 <= x88
(7) l8(x110, x111, x112, x113, x114, x115, x116, x117, x118, x119, x120) -> l7(x121, x122, x123, x124, x125, x126, x127, x128, x129, x130, x131) :|: x119 = x130 && x118 = x129 && x117 = x128 && x116 = x127 && x115 = x126 && x114 = x125 && x113 = x124 && x112 = x123 && x111 = x122 && x110 = x121 && x131 = 1 && x110 <= x116 - x118
(8) l9(x132, x133, x134, x135, x136, x137, x138, x139, x140, x141, x142) -> l7(x143, x144, x145, x146, x147, x148, x149, x150, x151, x152, x153) :|: x142 = x153 && x141 = x152 && x140 = x151 && x139 = x150 && x138 = x149 && x137 = x148 && x136 = x147 && x135 = x146 && x134 = x145 && x133 = x144 && x132 = x143 && 1 <= x142
(9) l9(x154, x155, x156, x157, x158, x159, x160, x161, x162, x163, x164) -> l8(x165, x166, x167, x168, x169, x170, x171, x172, x173, x174, x175) :|: x164 = x175 && x163 = x174 && x162 = x173 && x161 = x172 && x159 = x170 && x158 = x169 && x157 = x168 && x156 = x167 && x155 = x166 && x154 = x165 && x171 = x171 && x164 <= 0
(10) l6(x176, x177, x178, x179, x180, x181, x182, x183, x184, x185, x186) -> l10(x187, x188, x189, x190, x191, x192, x193, x194, x195, x196, x197) :|: x186 = x197 && x185 = x196 && x184 = x195 && x183 = x194 && x182 = x193 && x181 = x192 && x180 = x191 && x179 = x190 && x178 = x189 && x177 = x188 && x176 = x187
(11) l10(x198, x199, x200, x201, x202, x203, x204, x205, x206, x207, x208) -> l6(x209, x210, x211, x212, x213, x214, x215, x216, x217, x218, x219) :|: x208 = x219 && x207 = x218 && x206 = x217 && x205 = x216 && x204 = x215 && x203 = x214 && x202 = x213 && x201 = x212 && x200 = x211 && x199 = x210 && x198 = x209
(12) l1(x220, x221, x222, x223, x224, x225, x226, x227, x228, x229, x230) -> l9(x231, x232, x233, x234, x235, x236, x237, x238, x239, x240, x241) :|: x230 = x241 && x229 = x240 && x228 = x239 && x227 = x238 && x226 = x237 && x225 = x236 && x224 = x235 && x223 = x234 && x222 = x233 && x221 = x232 && x220 = x231 && x230 <= 0
(13) l1(x242, x243, x244, x245, x246, x247, x248, x249, x250, x251, x252) -> l9(x253, x254, x255, x256, x257, x258, x259, x260, x261, x262, x263) :|: x251 = x262 && x249 = x260 && x248 = x259 && x247 = x258 && x246 = x257 && x244 = x255 && x243 = x254 && x242 = x253 && x261 = x256 && x256 = x256 && x263 = 0 && 1 <= x252
(14) l2(x264, x265, x266, x267, x268, x269, x270, x271, x272, x273, x274) -> l1(x275, x276, x277, x278, x279, x280, x281, x282, x283, x284, x285) :|: x274 = x285 && x273 = x284 && x272 = x283 && x271 = x282 && x270 = x281 && x269 = x280 && x268 = x279 && x267 = x278 && x266 = x277 && x265 = x276 && x264 = x275 && 1 <= x273
(15) l2(x286, x287, x288, x289, x290, x291, x292, x293, x294, x295, x296) -> l5(x297, x298, x299, x300, x301, x302, x303, x304, x305, x306, x307) :|: x296 = x307 && x295 = x306 && x294 = x305 && x293 = x304 && x292 = x303 && x291 = x302 && x290 = x301 && x289 = x300 && x288 = x299 && x287 = x298 && x286 = x297 && x295 <= 0
(16) l11(x308, x309, x310, x311, x312, x313, x314, x315, x316, x317, x318) -> l0(x319, x320, x321, x322, x323, x324, x325, x326, x327, x328, x329) :|: x330 = 1 && x320 = x320 && x326 = x320 && x329 = 1 && x308 = x319 && x310 = x321 && x311 = x322 && x312 = x323 && x313 = x324 && x314 = x325 && x316 = x327 && x317 = x328
(17) l12(x331, x332, x333, x334, x335, x336, x337, x338, x339, x340, x341) -> l11(x342, x343, x344, x345, x346, x347, x348, x349, x350, x351, x352) :|: x341 = x352 && x340 = x351 && x339 = x350 && x338 = x349 && x337 = x348 && x336 = x347 && x335 = x346 && x334 = x345 && x333 = x344 && x332 = x343 && x331 = x342

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

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

(4)
Obligation:

Termination digraph:
Nodes:
(1) l6(x176, x177, x178, x179, x180, x181, x182, x183, x184, x185, x186) -> l10(x187, x188, x189, x190, x191, x192, x193, x194, x195, x196, x197) :|: x186 = x197 && x185 = x196 && x184 = x195 && x183 = x194 && x182 = x193 && x181 = x192 && x180 = x191 && x179 = x190 && x178 = x189 && x177 = x188 && x176 = x187
(2) l10(x198, x199, x200, x201, x202, x203, x204, x205, x206, x207, x208) -> l6(x209, x210, x211, x212, x213, x214, x215, x216, x217, x218, x219) :|: x208 = x219 && x207 = x218 && x206 = x217 && x205 = x216 && x204 = x215 && x203 = x214 && x202 = x213 && x201 = x212 && x200 = x211 && x199 = x210 && x198 = x209

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

This digraph is fully evaluated!

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

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

(6)
Obligation:
Rules:
l6(x176:0, x177:0, x178:0, x179:0, x180:0, x181:0, x182:0, x183:0, x184:0, x185:0, x186:0) -> l6(x176:0, x177:0, x178:0, x179:0, x180:0, x181:0, x182:0, x183:0, x184:0, x185:0, x186:0) :|: TRUE

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

(7) FilterProof (EQUIVALENT)
Used the following sort dictionary for filtering: 
l6(VARIABLE, VARIABLE, VARIABLE, VARIABLE, VARIABLE, VARIABLE, VARIABLE, VARIABLE, VARIABLE, VARIABLE, VARIABLE)
Replaced non-predefined constructor symbols by 0.
----------------------------------------

(8)
Obligation:
Rules:
l6(x176:0, x177:0, x178:0, x179:0, x180:0, x181:0, x182:0, x183:0, x184:0, x185:0, x186:0) -> l6(x176:0, x177:0, x178:0, x179:0, x180:0, x181:0, x182:0, x183:0, x184:0, x185:0, x186:0) :|: TRUE

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

(9) IntTRSPeriodicNontermProof (COMPLETE)
Normalized system to the following form:
f(pc, x176:0, x177:0, x178:0, x179:0, x180:0, x181:0, x182:0, x183:0, x184:0, x185:0, x186:0) -> f(1, x176:0, x177:0, x178:0, x179:0, x180:0, x181:0, x182:0, x183:0, x184:0, x185:0, x186:0) :|: pc = 1 && TRUE
Witness term starting non-terminating reduction: f(1, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8)
----------------------------------------

(10)
NO