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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty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, 5232 ms]
(4) IRSwT
(5) IntTRSCompressionProof [EQUIVALENT, 22 ms]
(6) IRSwT
(7) IntTRSUnneededArgumentFilterProof [EQUIVALENT, 0 ms]
(8) IRSwT
(9) FilterProof [EQUIVALENT, 0 ms]
(10) IntTRS
(11) IntTRSCompressionProof [EQUIVALENT, 0 ms]
(12) IntTRS
(13) IntTRSPeriodicNontermProof [COMPLETE, 0 ms]
(14) NO


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

(0)
Obligation:
Rules:
l0(Dc_6HAT0, InterfaceType_5HAT0, MaximumInterfaceType_9HAT0, Result_4HAT0, ___cil_tmp2_11HAT0, ___retres1_10HAT0, cnt_27HAT0, cnt_32HAT0, ct_15HAT0, ct_49HAT0, fdoExtension_7HAT0, lt_12HAT0, lt_13HAT0, lt_14HAT0, lt_16HAT0, lt_17HAT0, lt_18HAT0, ntStatus_8HAT0) -> l1(Dc_6HATpost, InterfaceType_5HATpost, MaximumInterfaceType_9HATpost, Result_4HATpost, ___cil_tmp2_11HATpost, ___retres1_10HATpost, cnt_27HATpost, cnt_32HATpost, ct_15HATpost, ct_49HATpost, fdoExtension_7HATpost, lt_12HATpost, lt_13HATpost, lt_14HATpost, lt_16HATpost, lt_17HATpost, lt_18HATpost, ntStatus_8HATpost) :|: lt_18HAT0 = lt_18HATpost && lt_17HAT0 = lt_17HATpost && lt_16HAT0 = lt_16HATpost && lt_14HAT0 = lt_14HATpost && lt_13HAT0 = lt_13HATpost && lt_12HAT0 = lt_12HATpost && ct_49HAT0 = ct_49HATpost && ct_15HAT0 = ct_15HATpost && cnt_32HAT0 = cnt_32HATpost && cnt_27HAT0 = cnt_27HATpost && ___retres1_10HAT0 = ___retres1_10HATpost && ___cil_tmp2_11HAT0 = ___cil_tmp2_11HATpost && Result_4HAT0 = Result_4HATpost && InterfaceType_5HATpost = InterfaceType_5HATpost && Dc_6HATpost = Dc_6HATpost && fdoExtension_7HATpost = fdoExtension_7HATpost && ntStatus_8HATpost = ntStatus_8HATpost && MaximumInterfaceType_9HATpost = MaximumInterfaceType_9HATpost
l1(x, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17) -> l3(x18, x19, x20, x21, x22, x23, x24, x25, x26, x27, x28, x29, x30, x31, x32, x33, x34, x35) :|: x36 = x6 && x37 = x7 && 0 <= -1 - x36 + x37 && x33 = x33 && x34 = x34 && x38 = x6 && x32 = x32 && x39 = x39 && x26 = x26 && x40 = x9 && 0 <= -1 + x40 && x31 = x31 && x30 = x9 && x = x18 && x1 = x19 && x2 = x20 && x3 = x21 && x4 = x22 && x5 = x23 && x6 = x24 && x7 = x25 && x9 = x27 && x10 = x28 && x11 = x29 && x17 = x35
l3(x41, x42, x43, x44, x45, x46, x47, x48, x49, x50, x51, x52, x53, x54, x55, x56, x57, x58) -> l4(x59, x60, x61, x62, x63, x64, x65, x66, x67, x68, x69, x70, x71, x72, x73, x74, x75, x76) :|: x58 = x76 && x57 = x75 && x56 = x74 && x55 = x73 && x54 = x72 && x53 = x71 && x52 = x70 && x51 = x69 && x50 = x68 && x49 = x67 && x48 = x66 && x47 = x65 && x46 = x64 && x45 = x63 && x44 = x62 && x43 = x61 && x42 = x60 && x41 = x59 && 1 + x53 <= 256
l3(x77, x78, x79, x80, x81, x82, x83, x84, x85, x86, x87, x88, x89, x90, x91, x92, x93, x94) -> l4(x95, x96, x97, x98, x99, x100, x101, x102, x103, x104, x105, x106, x107, x108, x109, x110, x111, x112) :|: x94 = x112 && x93 = x111 && x92 = x110 && x91 = x109 && x90 = x108 && x89 = x107 && x88 = x106 && x87 = x105 && x86 = x104 && x85 = x103 && x84 = x102 && x83 = x101 && x82 = x100 && x81 = x99 && x80 = x98 && x79 = x97 && x78 = x96 && x77 = x95 && 257 <= x89
l4(x113, x114, x115, x116, x117, x118, x119, x120, x121, x122, x123, x124, x125, x126, x127, x128, x129, x130) -> l2(x131, x132, x133, x134, x135, x136, x137, x138, x139, x140, x141, x142, x143, x144, x145, x146, x147, x148) :|: x143 = x143 && x149 = x122 && x136 = x149 && x142 = x142 && x135 = x136 && x134 = x135 && x113 = x131 && x114 = x132 && x115 = x133 && x119 = x137 && x120 = x138 && x121 = x139 && x122 = x140 && x123 = x141 && x126 = x144 && x127 = x145 && x128 = x146 && x129 = x147 && x130 = x148
l1(x150, x151, x152, x153, x154, x155, x156, x157, x158, x159, x160, x161, x162, x163, x164, x165, x166, x167) -> l5(x168, x169, x170, x171, x172, x173, x174, x175, x176, x177, x178, x179, x180, x181, x182, x183, x184, x185) :|: x186 = x156 && x187 = x157 && 0 <= -1 - x186 + x187 && x183 = x183 && x184 = x184 && x188 = x156 && x182 = x182 && x189 = x189 && x176 = x176 && x190 = x159 && x190 <= 0 && x181 = x181 && x150 = x168 && x151 = x169 && x152 = x170 && x153 = x171 && x154 = x172 && x155 = x173 && x156 = x174 && x157 = x175 && x159 = x177 && x160 = x178 && x161 = x179 && x162 = x180 && x167 = x185
l5(x191, x192, x193, x194, x195, x196, x197, x198, x199, x200, x201, x202, x203, x204, x205, x206, x207, x208) -> l1(x209, x210, x211, x212, x213, x214, x215, x216, x217, x218, x219, x220, x221, x222, x223, x224, x225, x226) :|: x208 = x226 && x207 = x225 && x206 = x224 && x205 = x223 && x204 = x222 && x203 = x221 && x202 = x220 && x201 = x219 && x200 = x218 && x199 = x217 && x198 = x216 && x197 = x215 && x196 = x214 && x195 = x213 && x194 = x212 && x193 = x211 && x192 = x210 && x191 = x209
l1(x227, x228, x229, x230, x231, x232, x233, x234, x235, x236, x237, x238, x239, x240, x241, x242, x243, x244) -> l6(x245, x246, x247, x248, x249, x250, x251, x252, x253, x254, x255, x256, x257, x258, x259, x260, x261, x262) :|: x263 = x233 && x264 = x234 && 0 <= -1 - x263 + x264 && x260 = x260 && x261 = x261 && x265 = x233 && x259 = x259 && x266 = x266 && x253 = x253 && x267 = x236 && 0 <= -1 + x267 && x258 = x258 && x268 = x236 && x268 <= 256 && 256 <= x268 && x257 = x257 && x227 = x245 && x228 = x246 && x229 = x247 && x230 = x248 && x231 = x249 && x232 = x250 && x233 = x251 && x234 = x252 && x236 = x254 && x237 = x255 && x238 = x256 && x244 = x262
l6(x269, x270, x271, x272, x273, x274, x275, x276, x277, x278, x279, x280, x281, x282, x283, x284, x285, x286) -> l1(x287, x288, x289, x290, x291, x292, x293, x294, x295, x296, x297, x298, x299, x300, x301, x302, x303, x304) :|: x286 = x304 && x285 = x303 && x284 = x302 && x283 = x301 && x282 = x300 && x281 = x299 && x280 = x298 && x279 = x297 && x278 = x296 && x277 = x295 && x276 = x294 && x275 = x293 && x274 = x292 && x273 = x291 && x272 = x290 && x271 = x289 && x270 = x288 && x269 = x287
l1(x305, x306, x307, x308, x309, x310, x311, x312, x313, x314, x315, x316, x317, x318, x319, x320, x321, x322) -> l7(x323, x324, x325, x326, x327, x328, x329, x330, x331, x332, x333, x334, x335, x336, x337, x338, x339, x340) :|: x341 = x311 && x342 = x312 && -1 * x341 + x342 <= 0 && x338 = x338 && x339 = x339 && x328 = 0 && x327 = x328 && x326 = x327 && x305 = x323 && x306 = x324 && x307 = x325 && x311 = x329 && x312 = x330 && x313 = x331 && x314 = x332 && x315 = x333 && x316 = x334 && x317 = x335 && x318 = x336 && x319 = x337 && x322 = x340
l8(x343, x344, x345, x346, x347, x348, x349, x350, x351, x352, x353, x354, x355, x356, x357, x358, x359, x360) -> l0(x361, x362, x363, x364, x365, x366, x367, x368, x369, x370, x371, x372, x373, x374, x375, x376, x377, x378) :|: x360 = x378 && x359 = x377 && x358 = x376 && x357 = x375 && x356 = x374 && x355 = x373 && x354 = x372 && x353 = x371 && x352 = x370 && x351 = x369 && x350 = x368 && x349 = x367 && x348 = x366 && x347 = x365 && x346 = x364 && x345 = x363 && x344 = x362 && x343 = x361
Start term: l8(Dc_6HAT0, InterfaceType_5HAT0, MaximumInterfaceType_9HAT0, Result_4HAT0, ___cil_tmp2_11HAT0, ___retres1_10HAT0, cnt_27HAT0, cnt_32HAT0, ct_15HAT0, ct_49HAT0, fdoExtension_7HAT0, lt_12HAT0, lt_13HAT0, lt_14HAT0, lt_16HAT0, lt_17HAT0, lt_18HAT0, ntStatus_8HAT0)

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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(Dc_6HAT0, InterfaceType_5HAT0, MaximumInterfaceType_9HAT0, Result_4HAT0, ___cil_tmp2_11HAT0, ___retres1_10HAT0, cnt_27HAT0, cnt_32HAT0, ct_15HAT0, ct_49HAT0, fdoExtension_7HAT0, lt_12HAT0, lt_13HAT0, lt_14HAT0, lt_16HAT0, lt_17HAT0, lt_18HAT0, ntStatus_8HAT0) -> l1(Dc_6HATpost, InterfaceType_5HATpost, MaximumInterfaceType_9HATpost, Result_4HATpost, ___cil_tmp2_11HATpost, ___retres1_10HATpost, cnt_27HATpost, cnt_32HATpost, ct_15HATpost, ct_49HATpost, fdoExtension_7HATpost, lt_12HATpost, lt_13HATpost, lt_14HATpost, lt_16HATpost, lt_17HATpost, lt_18HATpost, ntStatus_8HATpost) :|: lt_18HAT0 = lt_18HATpost && lt_17HAT0 = lt_17HATpost && lt_16HAT0 = lt_16HATpost && lt_14HAT0 = lt_14HATpost && lt_13HAT0 = lt_13HATpost && lt_12HAT0 = lt_12HATpost && ct_49HAT0 = ct_49HATpost && ct_15HAT0 = ct_15HATpost && cnt_32HAT0 = cnt_32HATpost && cnt_27HAT0 = cnt_27HATpost && ___retres1_10HAT0 = ___retres1_10HATpost && ___cil_tmp2_11HAT0 = ___cil_tmp2_11HATpost && Result_4HAT0 = Result_4HATpost && InterfaceType_5HATpost = InterfaceType_5HATpost && Dc_6HATpost = Dc_6HATpost && fdoExtension_7HATpost = fdoExtension_7HATpost && ntStatus_8HATpost = ntStatus_8HATpost && MaximumInterfaceType_9HATpost = MaximumInterfaceType_9HATpost
l1(x, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17) -> l3(x18, x19, x20, x21, x22, x23, x24, x25, x26, x27, x28, x29, x30, x31, x32, x33, x34, x35) :|: x36 = x6 && x37 = x7 && 0 <= -1 - x36 + x37 && x33 = x33 && x34 = x34 && x38 = x6 && x32 = x32 && x39 = x39 && x26 = x26 && x40 = x9 && 0 <= -1 + x40 && x31 = x31 && x30 = x9 && x = x18 && x1 = x19 && x2 = x20 && x3 = x21 && x4 = x22 && x5 = x23 && x6 = x24 && x7 = x25 && x9 = x27 && x10 = x28 && x11 = x29 && x17 = x35
l3(x41, x42, x43, x44, x45, x46, x47, x48, x49, x50, x51, x52, x53, x54, x55, x56, x57, x58) -> l4(x59, x60, x61, x62, x63, x64, x65, x66, x67, x68, x69, x70, x71, x72, x73, x74, x75, x76) :|: x58 = x76 && x57 = x75 && x56 = x74 && x55 = x73 && x54 = x72 && x53 = x71 && x52 = x70 && x51 = x69 && x50 = x68 && x49 = x67 && x48 = x66 && x47 = x65 && x46 = x64 && x45 = x63 && x44 = x62 && x43 = x61 && x42 = x60 && x41 = x59 && 1 + x53 <= 256
l3(x77, x78, x79, x80, x81, x82, x83, x84, x85, x86, x87, x88, x89, x90, x91, x92, x93, x94) -> l4(x95, x96, x97, x98, x99, x100, x101, x102, x103, x104, x105, x106, x107, x108, x109, x110, x111, x112) :|: x94 = x112 && x93 = x111 && x92 = x110 && x91 = x109 && x90 = x108 && x89 = x107 && x88 = x106 && x87 = x105 && x86 = x104 && x85 = x103 && x84 = x102 && x83 = x101 && x82 = x100 && x81 = x99 && x80 = x98 && x79 = x97 && x78 = x96 && x77 = x95 && 257 <= x89
l4(x113, x114, x115, x116, x117, x118, x119, x120, x121, x122, x123, x124, x125, x126, x127, x128, x129, x130) -> l2(x131, x132, x133, x134, x135, x136, x137, x138, x139, x140, x141, x142, x143, x144, x145, x146, x147, x148) :|: x143 = x143 && x149 = x122 && x136 = x149 && x142 = x142 && x135 = x136 && x134 = x135 && x113 = x131 && x114 = x132 && x115 = x133 && x119 = x137 && x120 = x138 && x121 = x139 && x122 = x140 && x123 = x141 && x126 = x144 && x127 = x145 && x128 = x146 && x129 = x147 && x130 = x148
l1(x150, x151, x152, x153, x154, x155, x156, x157, x158, x159, x160, x161, x162, x163, x164, x165, x166, x167) -> l5(x168, x169, x170, x171, x172, x173, x174, x175, x176, x177, x178, x179, x180, x181, x182, x183, x184, x185) :|: x186 = x156 && x187 = x157 && 0 <= -1 - x186 + x187 && x183 = x183 && x184 = x184 && x188 = x156 && x182 = x182 && x189 = x189 && x176 = x176 && x190 = x159 && x190 <= 0 && x181 = x181 && x150 = x168 && x151 = x169 && x152 = x170 && x153 = x171 && x154 = x172 && x155 = x173 && x156 = x174 && x157 = x175 && x159 = x177 && x160 = x178 && x161 = x179 && x162 = x180 && x167 = x185
l5(x191, x192, x193, x194, x195, x196, x197, x198, x199, x200, x201, x202, x203, x204, x205, x206, x207, x208) -> l1(x209, x210, x211, x212, x213, x214, x215, x216, x217, x218, x219, x220, x221, x222, x223, x224, x225, x226) :|: x208 = x226 && x207 = x225 && x206 = x224 && x205 = x223 && x204 = x222 && x203 = x221 && x202 = x220 && x201 = x219 && x200 = x218 && x199 = x217 && x198 = x216 && x197 = x215 && x196 = x214 && x195 = x213 && x194 = x212 && x193 = x211 && x192 = x210 && x191 = x209
l1(x227, x228, x229, x230, x231, x232, x233, x234, x235, x236, x237, x238, x239, x240, x241, x242, x243, x244) -> l6(x245, x246, x247, x248, x249, x250, x251, x252, x253, x254, x255, x256, x257, x258, x259, x260, x261, x262) :|: x263 = x233 && x264 = x234 && 0 <= -1 - x263 + x264 && x260 = x260 && x261 = x261 && x265 = x233 && x259 = x259 && x266 = x266 && x253 = x253 && x267 = x236 && 0 <= -1 + x267 && x258 = x258 && x268 = x236 && x268 <= 256 && 256 <= x268 && x257 = x257 && x227 = x245 && x228 = x246 && x229 = x247 && x230 = x248 && x231 = x249 && x232 = x250 && x233 = x251 && x234 = x252 && x236 = x254 && x237 = x255 && x238 = x256 && x244 = x262
l6(x269, x270, x271, x272, x273, x274, x275, x276, x277, x278, x279, x280, x281, x282, x283, x284, x285, x286) -> l1(x287, x288, x289, x290, x291, x292, x293, x294, x295, x296, x297, x298, x299, x300, x301, x302, x303, x304) :|: x286 = x304 && x285 = x303 && x284 = x302 && x283 = x301 && x282 = x300 && x281 = x299 && x280 = x298 && x279 = x297 && x278 = x296 && x277 = x295 && x276 = x294 && x275 = x293 && x274 = x292 && x273 = x291 && x272 = x290 && x271 = x289 && x270 = x288 && x269 = x287
l1(x305, x306, x307, x308, x309, x310, x311, x312, x313, x314, x315, x316, x317, x318, x319, x320, x321, x322) -> l7(x323, x324, x325, x326, x327, x328, x329, x330, x331, x332, x333, x334, x335, x336, x337, x338, x339, x340) :|: x341 = x311 && x342 = x312 && -1 * x341 + x342 <= 0 && x338 = x338 && x339 = x339 && x328 = 0 && x327 = x328 && x326 = x327 && x305 = x323 && x306 = x324 && x307 = x325 && x311 = x329 && x312 = x330 && x313 = x331 && x314 = x332 && x315 = x333 && x316 = x334 && x317 = x335 && x318 = x336 && x319 = x337 && x322 = x340
l8(x343, x344, x345, x346, x347, x348, x349, x350, x351, x352, x353, x354, x355, x356, x357, x358, x359, x360) -> l0(x361, x362, x363, x364, x365, x366, x367, x368, x369, x370, x371, x372, x373, x374, x375, x376, x377, x378) :|: x360 = x378 && x359 = x377 && x358 = x376 && x357 = x375 && x356 = x374 && x355 = x373 && x354 = x372 && x353 = x371 && x352 = x370 && x351 = x369 && x350 = x368 && x349 = x367 && x348 = x366 && x347 = x365 && x346 = x364 && x345 = x363 && x344 = x362 && x343 = x361
Start term: l8(Dc_6HAT0, InterfaceType_5HAT0, MaximumInterfaceType_9HAT0, Result_4HAT0, ___cil_tmp2_11HAT0, ___retres1_10HAT0, cnt_27HAT0, cnt_32HAT0, ct_15HAT0, ct_49HAT0, fdoExtension_7HAT0, lt_12HAT0, lt_13HAT0, lt_14HAT0, lt_16HAT0, lt_17HAT0, lt_18HAT0, ntStatus_8HAT0)

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

(3) IRSwTTerminationDigraphProof (EQUIVALENT)
Constructed termination digraph!
Nodes:
(1) l0(Dc_6HAT0, InterfaceType_5HAT0, MaximumInterfaceType_9HAT0, Result_4HAT0, ___cil_tmp2_11HAT0, ___retres1_10HAT0, cnt_27HAT0, cnt_32HAT0, ct_15HAT0, ct_49HAT0, fdoExtension_7HAT0, lt_12HAT0, lt_13HAT0, lt_14HAT0, lt_16HAT0, lt_17HAT0, lt_18HAT0, ntStatus_8HAT0) -> l1(Dc_6HATpost, InterfaceType_5HATpost, MaximumInterfaceType_9HATpost, Result_4HATpost, ___cil_tmp2_11HATpost, ___retres1_10HATpost, cnt_27HATpost, cnt_32HATpost, ct_15HATpost, ct_49HATpost, fdoExtension_7HATpost, lt_12HATpost, lt_13HATpost, lt_14HATpost, lt_16HATpost, lt_17HATpost, lt_18HATpost, ntStatus_8HATpost) :|: lt_18HAT0 = lt_18HATpost && lt_17HAT0 = lt_17HATpost && lt_16HAT0 = lt_16HATpost && lt_14HAT0 = lt_14HATpost && lt_13HAT0 = lt_13HATpost && lt_12HAT0 = lt_12HATpost && ct_49HAT0 = ct_49HATpost && ct_15HAT0 = ct_15HATpost && cnt_32HAT0 = cnt_32HATpost && cnt_27HAT0 = cnt_27HATpost && ___retres1_10HAT0 = ___retres1_10HATpost && ___cil_tmp2_11HAT0 = ___cil_tmp2_11HATpost && Result_4HAT0 = Result_4HATpost && InterfaceType_5HATpost = InterfaceType_5HATpost && Dc_6HATpost = Dc_6HATpost && fdoExtension_7HATpost = fdoExtension_7HATpost && ntStatus_8HATpost = ntStatus_8HATpost && MaximumInterfaceType_9HATpost = MaximumInterfaceType_9HATpost
(2) l1(x, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17) -> l3(x18, x19, x20, x21, x22, x23, x24, x25, x26, x27, x28, x29, x30, x31, x32, x33, x34, x35) :|: x36 = x6 && x37 = x7 && 0 <= -1 - x36 + x37 && x33 = x33 && x34 = x34 && x38 = x6 && x32 = x32 && x39 = x39 && x26 = x26 && x40 = x9 && 0 <= -1 + x40 && x31 = x31 && x30 = x9 && x = x18 && x1 = x19 && x2 = x20 && x3 = x21 && x4 = x22 && x5 = x23 && x6 = x24 && x7 = x25 && x9 = x27 && x10 = x28 && x11 = x29 && x17 = x35
(3) l3(x41, x42, x43, x44, x45, x46, x47, x48, x49, x50, x51, x52, x53, x54, x55, x56, x57, x58) -> l4(x59, x60, x61, x62, x63, x64, x65, x66, x67, x68, x69, x70, x71, x72, x73, x74, x75, x76) :|: x58 = x76 && x57 = x75 && x56 = x74 && x55 = x73 && x54 = x72 && x53 = x71 && x52 = x70 && x51 = x69 && x50 = x68 && x49 = x67 && x48 = x66 && x47 = x65 && x46 = x64 && x45 = x63 && x44 = x62 && x43 = x61 && x42 = x60 && x41 = x59 && 1 + x53 <= 256
(4) l3(x77, x78, x79, x80, x81, x82, x83, x84, x85, x86, x87, x88, x89, x90, x91, x92, x93, x94) -> l4(x95, x96, x97, x98, x99, x100, x101, x102, x103, x104, x105, x106, x107, x108, x109, x110, x111, x112) :|: x94 = x112 && x93 = x111 && x92 = x110 && x91 = x109 && x90 = x108 && x89 = x107 && x88 = x106 && x87 = x105 && x86 = x104 && x85 = x103 && x84 = x102 && x83 = x101 && x82 = x100 && x81 = x99 && x80 = x98 && x79 = x97 && x78 = x96 && x77 = x95 && 257 <= x89
(5) l4(x113, x114, x115, x116, x117, x118, x119, x120, x121, x122, x123, x124, x125, x126, x127, x128, x129, x130) -> l2(x131, x132, x133, x134, x135, x136, x137, x138, x139, x140, x141, x142, x143, x144, x145, x146, x147, x148) :|: x143 = x143 && x149 = x122 && x136 = x149 && x142 = x142 && x135 = x136 && x134 = x135 && x113 = x131 && x114 = x132 && x115 = x133 && x119 = x137 && x120 = x138 && x121 = x139 && x122 = x140 && x123 = x141 && x126 = x144 && x127 = x145 && x128 = x146 && x129 = x147 && x130 = x148
(6) l1(x150, x151, x152, x153, x154, x155, x156, x157, x158, x159, x160, x161, x162, x163, x164, x165, x166, x167) -> l5(x168, x169, x170, x171, x172, x173, x174, x175, x176, x177, x178, x179, x180, x181, x182, x183, x184, x185) :|: x186 = x156 && x187 = x157 && 0 <= -1 - x186 + x187 && x183 = x183 && x184 = x184 && x188 = x156 && x182 = x182 && x189 = x189 && x176 = x176 && x190 = x159 && x190 <= 0 && x181 = x181 && x150 = x168 && x151 = x169 && x152 = x170 && x153 = x171 && x154 = x172 && x155 = x173 && x156 = x174 && x157 = x175 && x159 = x177 && x160 = x178 && x161 = x179 && x162 = x180 && x167 = x185
(7) l5(x191, x192, x193, x194, x195, x196, x197, x198, x199, x200, x201, x202, x203, x204, x205, x206, x207, x208) -> l1(x209, x210, x211, x212, x213, x214, x215, x216, x217, x218, x219, x220, x221, x222, x223, x224, x225, x226) :|: x208 = x226 && x207 = x225 && x206 = x224 && x205 = x223 && x204 = x222 && x203 = x221 && x202 = x220 && x201 = x219 && x200 = x218 && x199 = x217 && x198 = x216 && x197 = x215 && x196 = x214 && x195 = x213 && x194 = x212 && x193 = x211 && x192 = x210 && x191 = x209
(8) l1(x227, x228, x229, x230, x231, x232, x233, x234, x235, x236, x237, x238, x239, x240, x241, x242, x243, x244) -> l6(x245, x246, x247, x248, x249, x250, x251, x252, x253, x254, x255, x256, x257, x258, x259, x260, x261, x262) :|: x263 = x233 && x264 = x234 && 0 <= -1 - x263 + x264 && x260 = x260 && x261 = x261 && x265 = x233 && x259 = x259 && x266 = x266 && x253 = x253 && x267 = x236 && 0 <= -1 + x267 && x258 = x258 && x268 = x236 && x268 <= 256 && 256 <= x268 && x257 = x257 && x227 = x245 && x228 = x246 && x229 = x247 && x230 = x248 && x231 = x249 && x232 = x250 && x233 = x251 && x234 = x252 && x236 = x254 && x237 = x255 && x238 = x256 && x244 = x262
(9) l6(x269, x270, x271, x272, x273, x274, x275, x276, x277, x278, x279, x280, x281, x282, x283, x284, x285, x286) -> l1(x287, x288, x289, x290, x291, x292, x293, x294, x295, x296, x297, x298, x299, x300, x301, x302, x303, x304) :|: x286 = x304 && x285 = x303 && x284 = x302 && x283 = x301 && x282 = x300 && x281 = x299 && x280 = x298 && x279 = x297 && x278 = x296 && x277 = x295 && x276 = x294 && x275 = x293 && x274 = x292 && x273 = x291 && x272 = x290 && x271 = x289 && x270 = x288 && x269 = x287
(10) l1(x305, x306, x307, x308, x309, x310, x311, x312, x313, x314, x315, x316, x317, x318, x319, x320, x321, x322) -> l7(x323, x324, x325, x326, x327, x328, x329, x330, x331, x332, x333, x334, x335, x336, x337, x338, x339, x340) :|: x341 = x311 && x342 = x312 && -1 * x341 + x342 <= 0 && x338 = x338 && x339 = x339 && x328 = 0 && x327 = x328 && x326 = x327 && x305 = x323 && x306 = x324 && x307 = x325 && x311 = x329 && x312 = x330 && x313 = x331 && x314 = x332 && x315 = x333 && x316 = x334 && x317 = x335 && x318 = x336 && x319 = x337 && x322 = x340
(11) l8(x343, x344, x345, x346, x347, x348, x349, x350, x351, x352, x353, x354, x355, x356, x357, x358, x359, x360) -> l0(x361, x362, x363, x364, x365, x366, x367, x368, x369, x370, x371, x372, x373, x374, x375, x376, x377, x378) :|: x360 = x378 && x359 = x377 && x358 = x376 && x357 = x375 && x356 = x374 && x355 = x373 && x354 = x372 && x353 = x371 && x352 = x370 && x351 = x369 && x350 = x368 && x349 = x367 && x348 = x366 && x347 = x365 && x346 = x364 && x345 = x363 && x344 = x362 && x343 = x361

Arcs:
(1) -> (2), (6), (8), (10)
(2) -> (3), (4)
(3) -> (5)
(4) -> (5)
(6) -> (7)
(7) -> (2), (6), (8), (10)
(8) -> (9)
(9) -> (2), (6), (8), (10)
(11) -> (1)

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

(4)
Obligation:

Termination digraph:
Nodes:
(1) l1(x150, x151, x152, x153, x154, x155, x156, x157, x158, x159, x160, x161, x162, x163, x164, x165, x166, x167) -> l5(x168, x169, x170, x171, x172, x173, x174, x175, x176, x177, x178, x179, x180, x181, x182, x183, x184, x185) :|: x186 = x156 && x187 = x157 && 0 <= -1 - x186 + x187 && x183 = x183 && x184 = x184 && x188 = x156 && x182 = x182 && x189 = x189 && x176 = x176 && x190 = x159 && x190 <= 0 && x181 = x181 && x150 = x168 && x151 = x169 && x152 = x170 && x153 = x171 && x154 = x172 && x155 = x173 && x156 = x174 && x157 = x175 && x159 = x177 && x160 = x178 && x161 = x179 && x162 = x180 && x167 = x185
(2) l6(x269, x270, x271, x272, x273, x274, x275, x276, x277, x278, x279, x280, x281, x282, x283, x284, x285, x286) -> l1(x287, x288, x289, x290, x291, x292, x293, x294, x295, x296, x297, x298, x299, x300, x301, x302, x303, x304) :|: x286 = x304 && x285 = x303 && x284 = x302 && x283 = x301 && x282 = x300 && x281 = x299 && x280 = x298 && x279 = x297 && x278 = x296 && x277 = x295 && x276 = x294 && x275 = x293 && x274 = x292 && x273 = x291 && x272 = x290 && x271 = x289 && x270 = x288 && x269 = x287
(3) l1(x227, x228, x229, x230, x231, x232, x233, x234, x235, x236, x237, x238, x239, x240, x241, x242, x243, x244) -> l6(x245, x246, x247, x248, x249, x250, x251, x252, x253, x254, x255, x256, x257, x258, x259, x260, x261, x262) :|: x263 = x233 && x264 = x234 && 0 <= -1 - x263 + x264 && x260 = x260 && x261 = x261 && x265 = x233 && x259 = x259 && x266 = x266 && x253 = x253 && x267 = x236 && 0 <= -1 + x267 && x258 = x258 && x268 = x236 && x268 <= 256 && 256 <= x268 && x257 = x257 && x227 = x245 && x228 = x246 && x229 = x247 && x230 = x248 && x231 = x249 && x232 = x250 && x233 = x251 && x234 = x252 && x236 = x254 && x237 = x255 && x238 = x256 && x244 = x262
(4) l5(x191, x192, x193, x194, x195, x196, x197, x198, x199, x200, x201, x202, x203, x204, x205, x206, x207, x208) -> l1(x209, x210, x211, x212, x213, x214, x215, x216, x217, x218, x219, x220, x221, x222, x223, x224, x225, x226) :|: x208 = x226 && x207 = x225 && x206 = x224 && x205 = x223 && x204 = x222 && x203 = x221 && x202 = x220 && x201 = x219 && x200 = x218 && x199 = x217 && x198 = x216 && x197 = x215 && x196 = x214 && x195 = x213 && x194 = x212 && x193 = x211 && x192 = x210 && x191 = x209

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

This digraph is fully evaluated!

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

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

(6)
Obligation:
Rules:
l1(x227:0, x228:0, x229:0, x230:0, x231:0, x232:0, x233:0, x234:0, x235:0, x236:0, x237:0, x238:0, x239:0, x240:0, x241:0, x242:0, x243:0, x244:0) -> l1(x227:0, x228:0, x229:0, x230:0, x231:0, x232:0, x233:0, x234:0, x253:0, x236:0, x237:0, x238:0, x257:0, x258:0, x259:0, x260:0, x261:0, x244:0) :|: 0 <= -1 - x233:0 + x234:0 && x236:0 > 255 && x236:0 < 257
l1(x150:0, x151:0, x152:0, x153:0, x154:0, x155:0, x156:0, x157:0, x158:0, x159:0, x160:0, x161:0, x162:0, x163:0, x164:0, x165:0, x166:0, x167:0) -> l1(x150:0, x151:0, x152:0, x153:0, x154:0, x155:0, x156:0, x157:0, x176:0, x159:0, x160:0, x161:0, x162:0, x181:0, x182:0, x183:0, x184:0, x167:0) :|: x159:0 < 1 && 0 <= -1 - x156:0 + x157:0

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

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

   l1(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18) -> l1(x7, x8, x10)

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

(8)
Obligation:
Rules:
l1(x233:0, x234:0, x236:0) -> l1(x233:0, x234:0, x236:0) :|: 0 <= -1 - x233:0 + x234:0 && x236:0 > 255 && x236:0 < 257
l1(x156:0, x157:0, x159:0) -> l1(x156:0, x157:0, x159:0) :|: x159:0 < 1 && 0 <= -1 - x156:0 + x157:0

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

(9) FilterProof (EQUIVALENT)
Used the following sort dictionary for filtering: 
l1(INTEGER, INTEGER, INTEGER)
Replaced non-predefined constructor symbols by 0.
----------------------------------------

(10)
Obligation:
Rules:
l1(x233:0, x234:0, x236:0) -> l1(x233:0, x234:0, x236:0) :|: 0 <= -1 - x233:0 + x234:0 && x236:0 > 255 && x236:0 < 257
l1(x156:0, x157:0, x159:0) -> l1(x156:0, x157:0, x159:0) :|: x159:0 < 1 && 0 <= -1 - x156:0 + x157:0

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

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

(12)
Obligation:
Rules:
l1(x156:0:0, x157:0:0, x159:0:0) -> l1(x156:0:0, x157:0:0, x159:0:0) :|: x159:0:0 < 1 && 0 <= -1 - x156:0:0 + x157:0:0
l1(x233:0:0, x234:0:0, x236:0:0) -> l1(x233:0:0, x234:0:0, x236:0:0) :|: 0 <= -1 - x233:0:0 + x234:0:0 && x236:0:0 > 255 && x236:0:0 < 257

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

(13) IntTRSPeriodicNontermProof (COMPLETE)
Normalized system to the following form:
f(pc, x156:0:0, x157:0:0, x159:0:0) -> f(1, x156:0:0, x157:0:0, x159:0:0) :|: pc = 1 && (x159:0:0 < 1 && 0 <= -1 - x156:0:0 + x157:0:0)
f(pc, x233:0:0, x234:0:0, x236:0:0) -> f(1, x233:0:0, x234:0:0, x236:0:0) :|: pc = 1 && (0 <= -1 - x233:0:0 + x234:0:0 && x236:0:0 > 255 && x236:0:0 < 257)
Witness term starting non-terminating reduction: f(1, 0, 113, 256)
----------------------------------------

(14)
NO