NO proof of prog.inttrs # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination of the given IRSwT could be disproven: (0) IRSwT (1) IRSFormatTransformerProof [EQUIVALENT, 0 ms] (2) IRSwT (3) IRSwTTerminationDigraphProof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, 4825 ms] (4) IRSwT (5) IntTRSCompressionProof [EQUIVALENT, 37 ms] (6) IRSwT (7) IntTRSUnneededArgumentFilterProof [EQUIVALENT, 0 ms] (8) IRSwT (9) FilterProof [EQUIVALENT, 0 ms] (10) IntTRS (11) IntTRSPeriodicNontermProof [COMPLETE, 7 ms] (12) NO ---------------------------------------- (0) Obligation: Rules: l0(Dc_6HAT0, InterfaceType_5HAT0, MaximumInterfaceType_9HAT0, Result_4HAT0, __cil_tmp2_11HAT0, __const_256HAT0, __disjvr_0HAT0, __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, __const_256HATpost, __disjvr_0HATpost, __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 && __disjvr_0HAT0 = __disjvr_0HATpost && __const_256HAT0 = __const_256HATpost && __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, x18, x19) -> l3(x20, x21, x22, x23, x24, x25, x26, x27, x28, x29, x30, x31, x32, x33, x34, x35, x36, x37, x38, x39) :|: x40 = x8 && x41 = x9 && 0 <= -1 - x40 + x41 && x37 = x37 && x38 = x38 && x42 = x8 && x36 = x36 && x43 = x43 && x30 = x30 && x44 = x11 && 0 <= -1 + x44 && x35 = x35 && x34 = x11 && x = x20 && x1 = x21 && x2 = x22 && x3 = x23 && x4 = x24 && x5 = x25 && x6 = x26 && x7 = x27 && x8 = x28 && x9 = x29 && x11 = x31 && x12 = x32 && x13 = x33 && x19 = x39 l3(x45, x46, x47, x48, x49, x50, x51, x52, x53, x54, x55, x56, x57, x58, x59, x60, x61, x62, x63, x64) -> l4(x65, x66, x67, x68, x69, x70, x71, x72, x73, x74, x75, x76, x77, x78, x79, x80, x81, x82, x83, x84) :|: x64 = x84 && x63 = x83 && x62 = x82 && x61 = x81 && x60 = x80 && x59 = x79 && x58 = x78 && x57 = x77 && x56 = x76 && x55 = x75 && x54 = x74 && x53 = x73 && x52 = x72 && x51 = x71 && x50 = x70 && x49 = x69 && x48 = x68 && x47 = x67 && x46 = x66 && x45 = x65 && x71 = x51 l4(x85, x86, x87, x88, x89, x90, x91, x92, x93, x94, x95, x96, x97, x98, x99, x100, x101, x102, x103, x104) -> l2(x105, x106, x107, x108, x109, x110, x111, x112, x113, x114, x115, x116, x117, x118, x119, x120, x121, x122, x123, x124) :|: x119 = x119 && x125 = x96 && x112 = x125 && x118 = x118 && x109 = x112 && x108 = x109 && x85 = x105 && x86 = x106 && x87 = x107 && x90 = x110 && x91 = x111 && x93 = x113 && x94 = x114 && x95 = x115 && x96 = x116 && x97 = x117 && x100 = x120 && x101 = x121 && x102 = x122 && x103 = x123 && x104 = x124 l1(x126, x127, x128, x129, x130, x131, x132, x133, x134, x135, x136, x137, x138, x139, x140, x141, x142, x143, x144, x145) -> l5(x146, x147, x148, x149, x150, x151, x152, x153, x154, x155, x156, x157, x158, x159, x160, x161, x162, x163, x164, x165) :|: x166 = x134 && x167 = x135 && 0 <= -1 - x166 + x167 && x163 = x163 && x164 = x164 && x168 = x134 && x162 = x162 && x169 = x169 && x156 = x156 && x170 = x137 && x170 <= 0 && x161 = x161 && x126 = x146 && x127 = x147 && x128 = x148 && x129 = x149 && x130 = x150 && x131 = x151 && x132 = x152 && x133 = x153 && x134 = x154 && x135 = x155 && x137 = x157 && x138 = x158 && x139 = x159 && x140 = x160 && x145 = x165 l5(x171, x172, x173, x174, x175, x176, x177, x178, x179, x180, x181, x182, x183, x184, x185, x186, x187, x188, x189, x190) -> l1(x191, x192, x193, x194, x195, x196, x197, x198, x199, x200, x201, x202, x203, x204, x205, x206, x207, x208, x209, x210) :|: x190 = x210 && x189 = x209 && x188 = x208 && x187 = x207 && x186 = x206 && x185 = x205 && x184 = x204 && x183 = x203 && x182 = x202 && x181 = x201 && x180 = x200 && x179 = x199 && x178 = x198 && x177 = x197 && x176 = x196 && x175 = x195 && x174 = x194 && x173 = x193 && x172 = x192 && x171 = x191 l1(x211, x212, x213, x214, x215, x216, x217, x218, x219, x220, x221, x222, x223, x224, x225, x226, x227, x228, x229, x230) -> l6(x231, x232, x233, x234, x235, x236, x237, x238, x239, x240, x241, x242, x243, x244, x245, x246, x247, x248, x249, x250) :|: x251 = x219 && x252 = x220 && 0 <= -1 - x251 + x252 && x248 = x248 && x249 = x249 && x253 = x219 && x247 = x247 && x254 = x254 && x241 = x241 && x255 = x222 && 0 <= -1 + x255 && x246 = x246 && x256 = x222 && x256 <= x216 && x216 <= x256 && x245 = x245 && x211 = x231 && x212 = x232 && x213 = x233 && x214 = x234 && x215 = x235 && x216 = x236 && x217 = x237 && x218 = x238 && x219 = x239 && x220 = x240 && x222 = x242 && x223 = x243 && x224 = x244 && x230 = x250 l6(x257, x258, x259, x260, x261, x262, x263, x264, x265, x266, x267, x268, x269, x270, x271, x272, x273, x274, x275, x276) -> l1(x277, x278, x279, x280, x281, x282, x283, x284, x285, x286, x287, x288, x289, x290, x291, x292, x293, x294, x295, x296) :|: x276 = x296 && x275 = x295 && x274 = x294 && x273 = x293 && x272 = x292 && x271 = x291 && x270 = x290 && x269 = x289 && x268 = x288 && x267 = x287 && x266 = x286 && x265 = x285 && x264 = x284 && x263 = x283 && x262 = x282 && x261 = x281 && x260 = x280 && x259 = x279 && x258 = x278 && x257 = x277 l1(x297, x298, x299, x300, x301, x302, x303, x304, x305, x306, x307, x308, x309, x310, x311, x312, x313, x314, x315, x316) -> l7(x317, x318, x319, x320, x321, x322, x323, x324, x325, x326, x327, x328, x329, x330, x331, x332, x333, x334, x335, x336) :|: x337 = x305 && x338 = x306 && -1 * x337 + x338 <= 0 && x334 = x334 && x335 = x335 && x324 = 0 && x321 = x324 && x320 = x321 && x297 = x317 && x298 = x318 && x299 = x319 && x302 = x322 && x303 = x323 && x305 = x325 && x306 = x326 && x307 = x327 && x308 = x328 && x309 = x329 && x310 = x330 && x311 = x331 && x312 = x332 && x313 = x333 && x316 = x336 l8(x339, x340, x341, x342, x343, x344, x345, x346, x347, x348, x349, x350, x351, x352, x353, x354, x355, x356, x357, x358) -> l0(x359, x360, x361, x362, x363, x364, x365, x366, x367, x368, x369, x370, x371, x372, x373, x374, x375, x376, x377, x378) :|: x358 = x378 && x357 = x377 && x356 = x376 && x355 = x375 && x354 = x374 && x353 = x373 && x352 = x372 && x351 = x371 && x350 = x370 && x349 = x369 && x348 = x368 && x347 = x367 && x346 = x366 && x345 = x365 && x344 = x364 && x343 = x363 && x342 = x362 && x341 = x361 && x340 = x360 && x339 = x359 Start term: l8(Dc_6HAT0, InterfaceType_5HAT0, MaximumInterfaceType_9HAT0, Result_4HAT0, __cil_tmp2_11HAT0, __const_256HAT0, __disjvr_0HAT0, __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) ---------------------------------------- (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, __const_256HAT0, __disjvr_0HAT0, __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, __const_256HATpost, __disjvr_0HATpost, __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 && __disjvr_0HAT0 = __disjvr_0HATpost && __const_256HAT0 = __const_256HATpost && __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, x18, x19) -> l3(x20, x21, x22, x23, x24, x25, x26, x27, x28, x29, x30, x31, x32, x33, x34, x35, x36, x37, x38, x39) :|: x40 = x8 && x41 = x9 && 0 <= -1 - x40 + x41 && x37 = x37 && x38 = x38 && x42 = x8 && x36 = x36 && x43 = x43 && x30 = x30 && x44 = x11 && 0 <= -1 + x44 && x35 = x35 && x34 = x11 && x = x20 && x1 = x21 && x2 = x22 && x3 = x23 && x4 = x24 && x5 = x25 && x6 = x26 && x7 = x27 && x8 = x28 && x9 = x29 && x11 = x31 && x12 = x32 && x13 = x33 && x19 = x39 l3(x45, x46, x47, x48, x49, x50, x51, x52, x53, x54, x55, x56, x57, x58, x59, x60, x61, x62, x63, x64) -> l4(x65, x66, x67, x68, x69, x70, x71, x72, x73, x74, x75, x76, x77, x78, x79, x80, x81, x82, x83, x84) :|: x64 = x84 && x63 = x83 && x62 = x82 && x61 = x81 && x60 = x80 && x59 = x79 && x58 = x78 && x57 = x77 && x56 = x76 && x55 = x75 && x54 = x74 && x53 = x73 && x52 = x72 && x51 = x71 && x50 = x70 && x49 = x69 && x48 = x68 && x47 = x67 && x46 = x66 && x45 = x65 && x71 = x51 l4(x85, x86, x87, x88, x89, x90, x91, x92, x93, x94, x95, x96, x97, x98, x99, x100, x101, x102, x103, x104) -> l2(x105, x106, x107, x108, x109, x110, x111, x112, x113, x114, x115, x116, x117, x118, x119, x120, x121, x122, x123, x124) :|: x119 = x119 && x125 = x96 && x112 = x125 && x118 = x118 && x109 = x112 && x108 = x109 && x85 = x105 && x86 = x106 && x87 = x107 && x90 = x110 && x91 = x111 && x93 = x113 && x94 = x114 && x95 = x115 && x96 = x116 && x97 = x117 && x100 = x120 && x101 = x121 && x102 = x122 && x103 = x123 && x104 = x124 l1(x126, x127, x128, x129, x130, x131, x132, x133, x134, x135, x136, x137, x138, x139, x140, x141, x142, x143, x144, x145) -> l5(x146, x147, x148, x149, x150, x151, x152, x153, x154, x155, x156, x157, x158, x159, x160, x161, x162, x163, x164, x165) :|: x166 = x134 && x167 = x135 && 0 <= -1 - x166 + x167 && x163 = x163 && x164 = x164 && x168 = x134 && x162 = x162 && x169 = x169 && x156 = x156 && x170 = x137 && x170 <= 0 && x161 = x161 && x126 = x146 && x127 = x147 && x128 = x148 && x129 = x149 && x130 = x150 && x131 = x151 && x132 = x152 && x133 = x153 && x134 = x154 && x135 = x155 && x137 = x157 && x138 = x158 && x139 = x159 && x140 = x160 && x145 = x165 l5(x171, x172, x173, x174, x175, x176, x177, x178, x179, x180, x181, x182, x183, x184, x185, x186, x187, x188, x189, x190) -> l1(x191, x192, x193, x194, x195, x196, x197, x198, x199, x200, x201, x202, x203, x204, x205, x206, x207, x208, x209, x210) :|: x190 = x210 && x189 = x209 && x188 = x208 && x187 = x207 && x186 = x206 && x185 = x205 && x184 = x204 && x183 = x203 && x182 = x202 && x181 = x201 && x180 = x200 && x179 = x199 && x178 = x198 && x177 = x197 && x176 = x196 && x175 = x195 && x174 = x194 && x173 = x193 && x172 = x192 && x171 = x191 l1(x211, x212, x213, x214, x215, x216, x217, x218, x219, x220, x221, x222, x223, x224, x225, x226, x227, x228, x229, x230) -> l6(x231, x232, x233, x234, x235, x236, x237, x238, x239, x240, x241, x242, x243, x244, x245, x246, x247, x248, x249, x250) :|: x251 = x219 && x252 = x220 && 0 <= -1 - x251 + x252 && x248 = x248 && x249 = x249 && x253 = x219 && x247 = x247 && x254 = x254 && x241 = x241 && x255 = x222 && 0 <= -1 + x255 && x246 = x246 && x256 = x222 && x256 <= x216 && x216 <= x256 && x245 = x245 && x211 = x231 && x212 = x232 && x213 = x233 && x214 = x234 && x215 = x235 && x216 = x236 && x217 = x237 && x218 = x238 && x219 = x239 && x220 = x240 && x222 = x242 && x223 = x243 && x224 = x244 && x230 = x250 l6(x257, x258, x259, x260, x261, x262, x263, x264, x265, x266, x267, x268, x269, x270, x271, x272, x273, x274, x275, x276) -> l1(x277, x278, x279, x280, x281, x282, x283, x284, x285, x286, x287, x288, x289, x290, x291, x292, x293, x294, x295, x296) :|: x276 = x296 && x275 = x295 && x274 = x294 && x273 = x293 && x272 = x292 && x271 = x291 && x270 = x290 && x269 = x289 && x268 = x288 && x267 = x287 && x266 = x286 && x265 = x285 && x264 = x284 && x263 = x283 && x262 = x282 && x261 = x281 && x260 = x280 && x259 = x279 && x258 = x278 && x257 = x277 l1(x297, x298, x299, x300, x301, x302, x303, x304, x305, x306, x307, x308, x309, x310, x311, x312, x313, x314, x315, x316) -> l7(x317, x318, x319, x320, x321, x322, x323, x324, x325, x326, x327, x328, x329, x330, x331, x332, x333, x334, x335, x336) :|: x337 = x305 && x338 = x306 && -1 * x337 + x338 <= 0 && x334 = x334 && x335 = x335 && x324 = 0 && x321 = x324 && x320 = x321 && x297 = x317 && x298 = x318 && x299 = x319 && x302 = x322 && x303 = x323 && x305 = x325 && x306 = x326 && x307 = x327 && x308 = x328 && x309 = x329 && x310 = x330 && x311 = x331 && x312 = x332 && x313 = x333 && x316 = x336 l8(x339, x340, x341, x342, x343, x344, x345, x346, x347, x348, x349, x350, x351, x352, x353, x354, x355, x356, x357, x358) -> l0(x359, x360, x361, x362, x363, x364, x365, x366, x367, x368, x369, x370, x371, x372, x373, x374, x375, x376, x377, x378) :|: x358 = x378 && x357 = x377 && x356 = x376 && x355 = x375 && x354 = x374 && x353 = x373 && x352 = x372 && x351 = x371 && x350 = x370 && x349 = x369 && x348 = x368 && x347 = x367 && x346 = x366 && x345 = x365 && x344 = x364 && x343 = x363 && x342 = x362 && x341 = x361 && x340 = x360 && x339 = x359 Start term: l8(Dc_6HAT0, InterfaceType_5HAT0, MaximumInterfaceType_9HAT0, Result_4HAT0, __cil_tmp2_11HAT0, __const_256HAT0, __disjvr_0HAT0, __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, __const_256HAT0, __disjvr_0HAT0, __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, __const_256HATpost, __disjvr_0HATpost, __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 && __disjvr_0HAT0 = __disjvr_0HATpost && __const_256HAT0 = __const_256HATpost && __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, x18, x19) -> l3(x20, x21, x22, x23, x24, x25, x26, x27, x28, x29, x30, x31, x32, x33, x34, x35, x36, x37, x38, x39) :|: x40 = x8 && x41 = x9 && 0 <= -1 - x40 + x41 && x37 = x37 && x38 = x38 && x42 = x8 && x36 = x36 && x43 = x43 && x30 = x30 && x44 = x11 && 0 <= -1 + x44 && x35 = x35 && x34 = x11 && x = x20 && x1 = x21 && x2 = x22 && x3 = x23 && x4 = x24 && x5 = x25 && x6 = x26 && x7 = x27 && x8 = x28 && x9 = x29 && x11 = x31 && x12 = x32 && x13 = x33 && x19 = x39 (3) l3(x45, x46, x47, x48, x49, x50, x51, x52, x53, x54, x55, x56, x57, x58, x59, x60, x61, x62, x63, x64) -> l4(x65, x66, x67, x68, x69, x70, x71, x72, x73, x74, x75, x76, x77, x78, x79, x80, x81, x82, x83, x84) :|: x64 = x84 && x63 = x83 && x62 = x82 && x61 = x81 && x60 = x80 && x59 = x79 && x58 = x78 && x57 = x77 && x56 = x76 && x55 = x75 && x54 = x74 && x53 = x73 && x52 = x72 && x51 = x71 && x50 = x70 && x49 = x69 && x48 = x68 && x47 = x67 && x46 = x66 && x45 = x65 && x71 = x51 (4) l4(x85, x86, x87, x88, x89, x90, x91, x92, x93, x94, x95, x96, x97, x98, x99, x100, x101, x102, x103, x104) -> l2(x105, x106, x107, x108, x109, x110, x111, x112, x113, x114, x115, x116, x117, x118, x119, x120, x121, x122, x123, x124) :|: x119 = x119 && x125 = x96 && x112 = x125 && x118 = x118 && x109 = x112 && x108 = x109 && x85 = x105 && x86 = x106 && x87 = x107 && x90 = x110 && x91 = x111 && x93 = x113 && x94 = x114 && x95 = x115 && x96 = x116 && x97 = x117 && x100 = x120 && x101 = x121 && x102 = x122 && x103 = x123 && x104 = x124 (5) l1(x126, x127, x128, x129, x130, x131, x132, x133, x134, x135, x136, x137, x138, x139, x140, x141, x142, x143, x144, x145) -> l5(x146, x147, x148, x149, x150, x151, x152, x153, x154, x155, x156, x157, x158, x159, x160, x161, x162, x163, x164, x165) :|: x166 = x134 && x167 = x135 && 0 <= -1 - x166 + x167 && x163 = x163 && x164 = x164 && x168 = x134 && x162 = x162 && x169 = x169 && x156 = x156 && x170 = x137 && x170 <= 0 && x161 = x161 && x126 = x146 && x127 = x147 && x128 = x148 && x129 = x149 && x130 = x150 && x131 = x151 && x132 = x152 && x133 = x153 && x134 = x154 && x135 = x155 && x137 = x157 && x138 = x158 && x139 = x159 && x140 = x160 && x145 = x165 (6) l5(x171, x172, x173, x174, x175, x176, x177, x178, x179, x180, x181, x182, x183, x184, x185, x186, x187, x188, x189, x190) -> l1(x191, x192, x193, x194, x195, x196, x197, x198, x199, x200, x201, x202, x203, x204, x205, x206, x207, x208, x209, x210) :|: x190 = x210 && x189 = x209 && x188 = x208 && x187 = x207 && x186 = x206 && x185 = x205 && x184 = x204 && x183 = x203 && x182 = x202 && x181 = x201 && x180 = x200 && x179 = x199 && x178 = x198 && x177 = x197 && x176 = x196 && x175 = x195 && x174 = x194 && x173 = x193 && x172 = x192 && x171 = x191 (7) l1(x211, x212, x213, x214, x215, x216, x217, x218, x219, x220, x221, x222, x223, x224, x225, x226, x227, x228, x229, x230) -> l6(x231, x232, x233, x234, x235, x236, x237, x238, x239, x240, x241, x242, x243, x244, x245, x246, x247, x248, x249, x250) :|: x251 = x219 && x252 = x220 && 0 <= -1 - x251 + x252 && x248 = x248 && x249 = x249 && x253 = x219 && x247 = x247 && x254 = x254 && x241 = x241 && x255 = x222 && 0 <= -1 + x255 && x246 = x246 && x256 = x222 && x256 <= x216 && x216 <= x256 && x245 = x245 && x211 = x231 && x212 = x232 && x213 = x233 && x214 = x234 && x215 = x235 && x216 = x236 && x217 = x237 && x218 = x238 && x219 = x239 && x220 = x240 && x222 = x242 && x223 = x243 && x224 = x244 && x230 = x250 (8) l6(x257, x258, x259, x260, x261, x262, x263, x264, x265, x266, x267, x268, x269, x270, x271, x272, x273, x274, x275, x276) -> l1(x277, x278, x279, x280, x281, x282, x283, x284, x285, x286, x287, x288, x289, x290, x291, x292, x293, x294, x295, x296) :|: x276 = x296 && x275 = x295 && x274 = x294 && x273 = x293 && x272 = x292 && x271 = x291 && x270 = x290 && x269 = x289 && x268 = x288 && x267 = x287 && x266 = x286 && x265 = x285 && x264 = x284 && x263 = x283 && x262 = x282 && x261 = x281 && x260 = x280 && x259 = x279 && x258 = x278 && x257 = x277 (9) l1(x297, x298, x299, x300, x301, x302, x303, x304, x305, x306, x307, x308, x309, x310, x311, x312, x313, x314, x315, x316) -> l7(x317, x318, x319, x320, x321, x322, x323, x324, x325, x326, x327, x328, x329, x330, x331, x332, x333, x334, x335, x336) :|: x337 = x305 && x338 = x306 && -1 * x337 + x338 <= 0 && x334 = x334 && x335 = x335 && x324 = 0 && x321 = x324 && x320 = x321 && x297 = x317 && x298 = x318 && x299 = x319 && x302 = x322 && x303 = x323 && x305 = x325 && x306 = x326 && x307 = x327 && x308 = x328 && x309 = x329 && x310 = x330 && x311 = x331 && x312 = x332 && x313 = x333 && x316 = x336 (10) l8(x339, x340, x341, x342, x343, x344, x345, x346, x347, x348, x349, x350, x351, x352, x353, x354, x355, x356, x357, x358) -> l0(x359, x360, x361, x362, x363, x364, x365, x366, x367, x368, x369, x370, x371, x372, x373, x374, x375, x376, x377, x378) :|: x358 = x378 && x357 = x377 && x356 = x376 && x355 = x375 && x354 = x374 && x353 = x373 && x352 = x372 && x351 = x371 && x350 = x370 && x349 = x369 && x348 = x368 && x347 = x367 && x346 = x366 && x345 = x365 && x344 = x364 && x343 = x363 && x342 = x362 && x341 = x361 && x340 = x360 && x339 = x359 Arcs: (1) -> (2), (5), (7), (9) (2) -> (3) (3) -> (4) (5) -> (6) (6) -> (2), (5), (7), (9) (7) -> (8) (8) -> (2), (5), (7), (9) (10) -> (1) This digraph is fully evaluated! ---------------------------------------- (4) Obligation: Termination digraph: Nodes: (1) l1(x126, x127, x128, x129, x130, x131, x132, x133, x134, x135, x136, x137, x138, x139, x140, x141, x142, x143, x144, x145) -> l5(x146, x147, x148, x149, x150, x151, x152, x153, x154, x155, x156, x157, x158, x159, x160, x161, x162, x163, x164, x165) :|: x166 = x134 && x167 = x135 && 0 <= -1 - x166 + x167 && x163 = x163 && x164 = x164 && x168 = x134 && x162 = x162 && x169 = x169 && x156 = x156 && x170 = x137 && x170 <= 0 && x161 = x161 && x126 = x146 && x127 = x147 && x128 = x148 && x129 = x149 && x130 = x150 && x131 = x151 && x132 = x152 && x133 = x153 && x134 = x154 && x135 = x155 && x137 = x157 && x138 = x158 && x139 = x159 && x140 = x160 && x145 = x165 (2) l6(x257, x258, x259, x260, x261, x262, x263, x264, x265, x266, x267, x268, x269, x270, x271, x272, x273, x274, x275, x276) -> l1(x277, x278, x279, x280, x281, x282, x283, x284, x285, x286, x287, x288, x289, x290, x291, x292, x293, x294, x295, x296) :|: x276 = x296 && x275 = x295 && x274 = x294 && x273 = x293 && x272 = x292 && x271 = x291 && x270 = x290 && x269 = x289 && x268 = x288 && x267 = x287 && x266 = x286 && x265 = x285 && x264 = x284 && x263 = x283 && x262 = x282 && x261 = x281 && x260 = x280 && x259 = x279 && x258 = x278 && x257 = x277 (3) l1(x211, x212, x213, x214, x215, x216, x217, x218, x219, x220, x221, x222, x223, x224, x225, x226, x227, x228, x229, x230) -> l6(x231, x232, x233, x234, x235, x236, x237, x238, x239, x240, x241, x242, x243, x244, x245, x246, x247, x248, x249, x250) :|: x251 = x219 && x252 = x220 && 0 <= -1 - x251 + x252 && x248 = x248 && x249 = x249 && x253 = x219 && x247 = x247 && x254 = x254 && x241 = x241 && x255 = x222 && 0 <= -1 + x255 && x246 = x246 && x256 = x222 && x256 <= x216 && x216 <= x256 && x245 = x245 && x211 = x231 && x212 = x232 && x213 = x233 && x214 = x234 && x215 = x235 && x216 = x236 && x217 = x237 && x218 = x238 && x219 = x239 && x220 = x240 && x222 = x242 && x223 = x243 && x224 = x244 && x230 = x250 (4) l5(x171, x172, x173, x174, x175, x176, x177, x178, x179, x180, x181, x182, x183, x184, x185, x186, x187, x188, x189, x190) -> l1(x191, x192, x193, x194, x195, x196, x197, x198, x199, x200, x201, x202, x203, x204, x205, x206, x207, x208, x209, x210) :|: x190 = x210 && x189 = x209 && x188 = x208 && x187 = x207 && x186 = x206 && x185 = x205 && x184 = x204 && x183 = x203 && x182 = x202 && x181 = x201 && x180 = x200 && x179 = x199 && x178 = x198 && x177 = x197 && x176 = x196 && x175 = x195 && x174 = x194 && x173 = x193 && x172 = x192 && x171 = x191 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(x126:0, x127:0, x128:0, x129:0, x130:0, x131:0, x132:0, x133:0, x134:0, x135:0, x136:0, x137:0, x138:0, x139:0, x140:0, x141:0, x142:0, x143:0, x144:0, x145:0) -> l1(x126:0, x127:0, x128:0, x129:0, x130:0, x131:0, x132:0, x133:0, x134:0, x135:0, x156:0, x137:0, x138:0, x139:0, x140:0, x161:0, x162:0, x163:0, x164:0, x145:0) :|: x137:0 < 1 && 0 <= -1 - x134:0 + x135:0 l1(x211:0, x212:0, x213:0, x214:0, x215:0, x216:0, x217:0, x218:0, x219:0, x220:0, x221:0, x216:0, x223:0, x224:0, x225:0, x226:0, x227:0, x228:0, x229:0, x230:0) -> l1(x211:0, x212:0, x213:0, x214:0, x215:0, x216:0, x217:0, x218:0, x219:0, x220:0, x241:0, x216:0, x223:0, x224:0, x245:0, x246:0, x247:0, x248:0, x249:0, x230:0) :|: x216:0 > 0 && 0 <= -1 - x219:0 + x220:0 ---------------------------------------- (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, x19, x20) -> l1(x6, x9, x10, x12) ---------------------------------------- (8) Obligation: Rules: l1(x131:0, x134:0, x135:0, x137:0) -> l1(x131:0, x134:0, x135:0, x137:0) :|: x137:0 < 1 && 0 <= -1 - x134:0 + x135:0 l1(x216:0, x219:0, x220:0, x216:0) -> l1(x216:0, x219:0, x220:0, x216:0) :|: x216:0 > 0 && 0 <= -1 - x219:0 + x220:0 ---------------------------------------- (9) FilterProof (EQUIVALENT) Used the following sort dictionary for filtering: l1(VARIABLE, INTEGER, INTEGER, INTEGER) Replaced non-predefined constructor symbols by 0. ---------------------------------------- (10) Obligation: Rules: l1(x131:0, x134:0, x135:0, x137:0) -> l1(x131:0, x134:0, x135:0, x137:0) :|: x137:0 < 1 && 0 <= -1 - x134:0 + x135:0 l1(x216:0, x219:0, x220:0, x216:0) -> l1(x216:0, x219:0, x220:0, x216:0) :|: x216:0 > 0 && 0 <= -1 - x219:0 + x220:0 ---------------------------------------- (11) IntTRSPeriodicNontermProof (COMPLETE) Normalized system to the following form: f(pc, x131:0, x134:0, x135:0, x137:0) -> f(1, x131:0, x134:0, x135:0, x137:0) :|: pc = 1 && (x137:0 < 1 && 0 <= -1 - x134:0 + x135:0) f(pc, x216:0, x219:0, x220:0, x216:0) -> f(1, x216:0, x219:0, x220:0, x216:0) :|: pc = 1 && (x216:0 > 0 && 0 <= -1 - x219:0 + x220:0) Witness term starting non-terminating reduction: f(1, 1, -5, 1, -3) ---------------------------------------- (12) NO