YES
proof of prog.inttrs
# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty


Termination of the given IRSwT could be proven:

(0) IRSwT
(1) IRSFormatTransformerProof [EQUIVALENT, 0 ms]
(2) IRSwT
(3) IRSwTTerminationDigraphProof [EQUIVALENT, 6698 ms]
(4) AND
    (5) IRSwT
        (6) IntTRSCompressionProof [EQUIVALENT, 0 ms]
        (7) IRSwT
        (8) IntTRSUnneededArgumentFilterProof [EQUIVALENT, 0 ms]
        (9) IRSwT
        (10) TempFilterProof [SOUND, 35 ms]
        (11) IntTRS
        (12) PolynomialOrderProcessor [EQUIVALENT, 0 ms]
        (13) YES
    (14) IRSwT
        (15) IntTRSCompressionProof [EQUIVALENT, 0 ms]
        (16) IRSwT
        (17) IntTRSUnneededArgumentFilterProof [EQUIVALENT, 0 ms]
        (18) IRSwT
        (19) TempFilterProof [SOUND, 57 ms]
        (20) IntTRS
        (21) PolynomialOrderProcessor [EQUIVALENT, 0 ms]
        (22) YES
    (23) IRSwT
        (24) IntTRSCompressionProof [EQUIVALENT, 0 ms]
        (25) IRSwT
        (26) TempFilterProof [SOUND, 66 ms]
        (27) IntTRS
        (28) RankingReductionPairProof [EQUIVALENT, 24 ms]
        (29) YES


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

(0)
Obligation:
Rules:
f328_0_createList_Load(arg1, arg2, arg3, arg4, arg5, arg6, arg7, arg8, arg9, arg10, arg11, arg12, arg13, arg14, arg15, arg16, arg17, arg18, arg19, arg20, arg21, arg22, arg23) -> f724_0_createList_Load(arg1P, arg2P, arg3P, arg4P, arg5P, arg6P, arg7P, arg8P, arg9P, arg10P, arg11P, arg12P, arg13P, arg14P, arg15P, arg16P, arg17P, arg18P, arg19P, arg20P, arg21P, arg22P, arg23P) :|: arg7 = arg21P && arg6 = arg18P && arg5 = arg17P && arg4 = arg15P && arg3 = arg14P && arg3 = arg13P && 0 = arg9P && 0 = arg8P && 0 = arg7P && arg4 = arg5P && 0 = arg4P && 0 = arg3P && arg1 = arg1P && arg7 + 3 <= arg2 && arg6 + 5 <= arg2 && 9 <= arg2P - 1 && 9 <= arg2 - 1
f340_0_createList_Return(x, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22) -> f783_0_toArray_FieldAccess(x23, x24, x25, x26, x27, x28, x29, x30, x31, x32, x33, x34, x35, x39, x40, x41, x42, x43, x44, x45, x46, x47, x48) :|: x3 = x29 && x6 = x28 && x5 + 7 <= x && x6 + 3 <= x && x4 + 7 <= x && x3 + 5 <= x && 0 <= x24 - 1 && 7 <= x23 - 1 && 6 <= x - 1 && x24 + 6 <= x && x26 <= x2 - 1 && -1 <= x2 - 1 && -1 <= x1 - 1 && x25 <= x1 - 1
f1_0_main_Load(x49, x50, x51, x52, x53, x54, x55, x56, x57, x58, x59, x60, x61, x62, x63, x64, x65, x66, x67, x68, x69, x70, x71) -> f783_0_toArray_FieldAccess(x72, x73, x74, x75, x76, x77, x78, x79, x80, x81, x82, x83, x84, x85, x86, x87, x88, x89, x90, x91, x92, x93, x94) :|: -1 <= x95 - 1 && 0 <= x50 - 1 && -1 <= x96 - 1 && x74 <= x96 - 1 && -1 <= x97 - 1 && x75 <= x97 - 1 && x73 <= x49 && 0 <= x49 - 1 && 7 <= x72 - 1 && 0 <= x73 - 1
f783_0_toArray_FieldAccess(x98, x99, x100, x101, x102, x103, x104, x105, x106, x107, x108, x109, x110, x111, x112, x113, x114, x115, x116, x117, x118, x120, x121) -> f1044_0_toArray_EQ(x122, x123, x124, x125, x126, x127, x128, x129, x130, x131, x132, x133, x134, x135, x136, x137, x138, x139, x140, x141, x142, x143, x144) :|: x104 = x131 && x103 = x130 && 0 = x129 && 0 = x128 && x100 = x127 && 0 = x126 && x100 = x125 && 0 = x124 && x103 + 3 <= x98 && x102 + 8 <= x98 && x104 + 5 <= x98 && 0 <= x123 - 1 && 7 <= x122 - 1 && 0 <= x99 - 1 && 7 <= x98 - 1 && x123 <= x99 && x123 + 7 <= x98 && 0 <= x100 - 1 && x122 <= x98
f783_0_toArray_FieldAccess(x145, x146, x147, x148, x149, x150, x151, x152, x153, x154, x155, x156, x157, x158, x159, x161, x162, x163, x164, x165, x166, x167, x168) -> f1044_0_toArray_EQ(x169, x170, x171, x172, x173, x174, x175, x176, x177, x178, x179, x180, x181, x182, x183, x184, x185, x186, x187, x188, x189, x190, x191) :|: x151 = x178 && x150 = x177 && 0 = x176 && 0 = x175 && x147 = x174 && 0 = x173 && x147 = x172 && 0 = x171 && x150 + 3 <= x145 && x149 + 8 <= x145 && x151 + 5 <= x145 && 0 <= x170 - 1 && 7 <= x169 - 1 && 0 <= x146 - 1 && 7 <= x145 - 1 && x170 <= x146 && x170 + 7 <= x145 && x169 <= x145 && 0 <= x147 - 1 && 0 <= x148 - 1
f1044_0_toArray_EQ(x192, x193, x194, x195, x196, x197, x198, x199, x200, x201, x202, x203, x204, x205, x206, x207, x208, x209, x210, x211, x212, x213, x214) -> f1044_0_toArray_EQ(x215, x216, x217, x218, x219, x220, x221, x222, x223, x224, x225, x226, x227, x228, x229, x230, x231, x232, x233, x234, x235, x236, x237) :|: x201 = x224 && x200 = x223 && x196 = x219 && x195 = x218 && x194 + 1 = x217 && x200 + 3 <= x192 && x201 + 5 <= x192 && 0 <= x216 - 1 && 7 <= x215 - 1 && 0 <= x193 - 1 && 7 <= x192 - 1 && x216 <= x193 && x216 + 7 <= x192 && x199 <= x196 - 1 && x194 <= x201 - 1 && x221 <= x198 - 1 && x199 <= x195 - 1 && 0 <= x196 - 1 && x220 <= x197 - 1 && x199 <= x222 - 1 && 0 <= x197 - 1 && 0 <= x198 - 1 && 0 <= x199 - 1
f1044_0_toArray_EQ(x238, x239, x240, x241, x242, x243, x244, x245, x246, x247, x248, x249, x250, x251, x252, x253, x254, x255, x256, x257, x258, x259, x260) -> f1044_0_toArray_EQ(x261, x262, x263, x264, x265, x266, x267, x268, x269, x270, x271, x272, x273, x274, x275, x276, x277, x278, x279, x280, x281, x282, x283) :|: x247 = x270 && x246 = x269 && 1 = x268 && 0 = x265 && x240 + 1 = x263 && x241 = x243 && x246 + 3 <= x238 && x247 + 5 <= x238 && 0 <= x262 - 1 && 9 <= x261 - 1 && 0 <= x239 - 1 && 9 <= x238 - 1 && x262 <= x239 && x262 + 9 <= x238 && -1 <= x242 - 1 && x240 <= x247 - 1 && x267 <= x242 - 1 && 0 <= x241 - 1 && x266 <= x241 - 1
f1_0_main_Load(x284, x285, x286, x287, x288, x289, x290, x291, x292, x293, x294, x295, x296, x297, x298, x299, x300, x301, x302, x303, x304, x305, x306) -> f328_0_createList_Load(x307, x308, x309, x310, x311, x312, x313, x314, x315, x316, x317, x318, x319, x320, x321, x322, x323, x324, x325, x326, x327, x328, x329) :|: 0 = x313 && 0 = x312 && 1 = x311 && 7 <= x308 - 1 && 0 <= x284 - 1 && x308 - 7 <= x284 && 0 <= x285 - 1 && -1 <= x307 - 1
f724_0_createList_Load(x330, x331, x332, x333, x334, x335, x336, x337, x338, x339, x340, x341, x342, x343, x344, x345, x346, x347, x348, x349, x350, x351, x352) -> f1106_0_createList_LE(x353, x354, x355, x356, x357, x358, x359, x360, x361, x362, x363, x364, x365, x366, x367, x368, x369, x370, x371, x372, x373, x374, x375) :|: x350 = x375 && x347 = x369 && x346 = x368 && x344 = x367 && x343 = x366 && x342 = x365 && x341 = x364 && x338 = x363 && x337 = x362 && x336 = x361 && x335 = x360 && x332 = x359 && x339 = x358 && x340 = x357 && x334 = x356 && x333 = x355 && x330 = x354 && x349 + 9 <= x331 && x350 + 3 <= x331 && x348 + 9 <= x331 && x347 + 5 <= x331 && 11 <= x353 - 1 && 11 <= x331 - 1
f1106_0_createList_LE(x376, x377, x378, x379, x380, x381, x382, x383, x384, x385, x386, x387, x388, x389, x390, x391, x392, x393, x394, x395, x396, x397, x398) -> f1106_0_createList_LE(x399, x400, x401, x402, x403, x404, x405, x406, x407, x408, x409, x410, x411, x412, x413, x414, x415, x416, x417, x418, x419, x420, x421) :|: 0 <= x377 - 1 && -1 <= x422 - 1 && 0 <= x391 - 1 && x391 <= x422 - 1 && 0 <= x379 - 1 && 0 <= x378 - 1 && 0 <= x382 - 1 && 0 <= x381 - 1 && 0 <= x380 - 1 && 0 <= x389 - 1 && -1 <= x423 - 1 && 0 <= x384 - 1 && 0 <= x387 - 1 && 0 <= x385 - 1 && 0 <= x390 - 1 && 0 <= x388 - 1 && 0 <= x386 - 1 && 0 <= x383 - 1 && -1 <= x398 - 1 && -1 <= x392 - 1 && 11 <= x376 - 1 && 11 <= x399 - 1 && x392 + 5 <= x376 && x393 + 11 <= x376 && x394 + 11 <= x376 && x395 + 9 <= x376 && x396 + 9 <= x376 && x398 + 3 <= x376 && x397 + 9 <= x376 && x377 - 1 = x400 && x378 = x401 && x379 = x402 && x391 + 1 = x414 && x392 + 1 = x415 && x398 + 1 = x421
__init(x424, x425, x426, x427, x428, x429, x430, x431, x432, x433, x434, x435, x436, x437, x438, x439, x440, x441, x442, x443, x444, x445, x446) -> f1_0_main_Load(x447, x448, x449, x450, x451, x452, x453, x454, x455, x456, x457, x458, x459, x460, x461, x462, x463, x464, x465, x466, x467, x468, x469) :|: 0 <= 0
Start term: __init(arg1, arg2, arg3, arg4, arg5, arg6, arg7, arg8, arg9, arg10, arg11, arg12, arg13, arg14, arg15, arg16, arg17, arg18, arg19, arg20, arg21, arg22, arg23)

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

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

(2)
Obligation:
Rules:
f328_0_createList_Load(arg1, arg2, arg3, arg4, arg5, arg6, arg7, arg8, arg9, arg10, arg11, arg12, arg13, arg14, arg15, arg16, arg17, arg18, arg19, arg20, arg21, arg22, arg23) -> f724_0_createList_Load(arg1P, arg2P, arg3P, arg4P, arg5P, arg6P, arg7P, arg8P, arg9P, arg10P, arg11P, arg12P, arg13P, arg14P, arg15P, arg16P, arg17P, arg18P, arg19P, arg20P, arg21P, arg22P, arg23P) :|: arg7 = arg21P && arg6 = arg18P && arg5 = arg17P && arg4 = arg15P && arg3 = arg14P && arg3 = arg13P && 0 = arg9P && 0 = arg8P && 0 = arg7P && arg4 = arg5P && 0 = arg4P && 0 = arg3P && arg1 = arg1P && arg7 + 3 <= arg2 && arg6 + 5 <= arg2 && 9 <= arg2P - 1 && 9 <= arg2 - 1
f340_0_createList_Return(x, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22) -> f783_0_toArray_FieldAccess(x23, x24, x25, x26, x27, x28, x29, x30, x31, x32, x33, x34, x35, x39, x40, x41, x42, x43, x44, x45, x46, x47, x48) :|: x3 = x29 && x6 = x28 && x5 + 7 <= x && x6 + 3 <= x && x4 + 7 <= x && x3 + 5 <= x && 0 <= x24 - 1 && 7 <= x23 - 1 && 6 <= x - 1 && x24 + 6 <= x && x26 <= x2 - 1 && -1 <= x2 - 1 && -1 <= x1 - 1 && x25 <= x1 - 1
f1_0_main_Load(x49, x50, x51, x52, x53, x54, x55, x56, x57, x58, x59, x60, x61, x62, x63, x64, x65, x66, x67, x68, x69, x70, x71) -> f783_0_toArray_FieldAccess(x72, x73, x74, x75, x76, x77, x78, x79, x80, x81, x82, x83, x84, x85, x86, x87, x88, x89, x90, x91, x92, x93, x94) :|: -1 <= x95 - 1 && 0 <= x50 - 1 && -1 <= x96 - 1 && x74 <= x96 - 1 && -1 <= x97 - 1 && x75 <= x97 - 1 && x73 <= x49 && 0 <= x49 - 1 && 7 <= x72 - 1 && 0 <= x73 - 1
f783_0_toArray_FieldAccess(x98, x99, x100, x101, x102, x103, x104, x105, x106, x107, x108, x109, x110, x111, x112, x113, x114, x115, x116, x117, x118, x120, x121) -> f1044_0_toArray_EQ(x122, x123, x124, x125, x126, x127, x128, x129, x130, x131, x132, x133, x134, x135, x136, x137, x138, x139, x140, x141, x142, x143, x144) :|: x104 = x131 && x103 = x130 && 0 = x129 && 0 = x128 && x100 = x127 && 0 = x126 && x100 = x125 && 0 = x124 && x103 + 3 <= x98 && x102 + 8 <= x98 && x104 + 5 <= x98 && 0 <= x123 - 1 && 7 <= x122 - 1 && 0 <= x99 - 1 && 7 <= x98 - 1 && x123 <= x99 && x123 + 7 <= x98 && 0 <= x100 - 1 && x122 <= x98
f783_0_toArray_FieldAccess(x145, x146, x147, x148, x149, x150, x151, x152, x153, x154, x155, x156, x157, x158, x159, x161, x162, x163, x164, x165, x166, x167, x168) -> f1044_0_toArray_EQ(x169, x170, x171, x172, x173, x174, x175, x176, x177, x178, x179, x180, x181, x182, x183, x184, x185, x186, x187, x188, x189, x190, x191) :|: x151 = x178 && x150 = x177 && 0 = x176 && 0 = x175 && x147 = x174 && 0 = x173 && x147 = x172 && 0 = x171 && x150 + 3 <= x145 && x149 + 8 <= x145 && x151 + 5 <= x145 && 0 <= x170 - 1 && 7 <= x169 - 1 && 0 <= x146 - 1 && 7 <= x145 - 1 && x170 <= x146 && x170 + 7 <= x145 && x169 <= x145 && 0 <= x147 - 1 && 0 <= x148 - 1
f1044_0_toArray_EQ(x192, x193, x194, x195, x196, x197, x198, x199, x200, x201, x202, x203, x204, x205, x206, x207, x208, x209, x210, x211, x212, x213, x214) -> f1044_0_toArray_EQ(x215, x216, x217, x218, x219, x220, x221, x222, x223, x224, x225, x226, x227, x228, x229, x230, x231, x232, x233, x234, x235, x236, x237) :|: x201 = x224 && x200 = x223 && x196 = x219 && x195 = x218 && x194 + 1 = x217 && x200 + 3 <= x192 && x201 + 5 <= x192 && 0 <= x216 - 1 && 7 <= x215 - 1 && 0 <= x193 - 1 && 7 <= x192 - 1 && x216 <= x193 && x216 + 7 <= x192 && x199 <= x196 - 1 && x194 <= x201 - 1 && x221 <= x198 - 1 && x199 <= x195 - 1 && 0 <= x196 - 1 && x220 <= x197 - 1 && x199 <= x222 - 1 && 0 <= x197 - 1 && 0 <= x198 - 1 && 0 <= x199 - 1
f1044_0_toArray_EQ(x238, x239, x240, x241, x242, x243, x244, x245, x246, x247, x248, x249, x250, x251, x252, x253, x254, x255, x256, x257, x258, x259, x260) -> f1044_0_toArray_EQ(x261, x262, x263, x264, x265, x266, x267, x268, x269, x270, x271, x272, x273, x274, x275, x276, x277, x278, x279, x280, x281, x282, x283) :|: x247 = x270 && x246 = x269 && 1 = x268 && 0 = x265 && x240 + 1 = x263 && x241 = x243 && x246 + 3 <= x238 && x247 + 5 <= x238 && 0 <= x262 - 1 && 9 <= x261 - 1 && 0 <= x239 - 1 && 9 <= x238 - 1 && x262 <= x239 && x262 + 9 <= x238 && -1 <= x242 - 1 && x240 <= x247 - 1 && x267 <= x242 - 1 && 0 <= x241 - 1 && x266 <= x241 - 1
f1_0_main_Load(x284, x285, x286, x287, x288, x289, x290, x291, x292, x293, x294, x295, x296, x297, x298, x299, x300, x301, x302, x303, x304, x305, x306) -> f328_0_createList_Load(x307, x308, x309, x310, x311, x312, x313, x314, x315, x316, x317, x318, x319, x320, x321, x322, x323, x324, x325, x326, x327, x328, x329) :|: 0 = x313 && 0 = x312 && 1 = x311 && 7 <= x308 - 1 && 0 <= x284 - 1 && x308 - 7 <= x284 && 0 <= x285 - 1 && -1 <= x307 - 1
f724_0_createList_Load(x330, x331, x332, x333, x334, x335, x336, x337, x338, x339, x340, x341, x342, x343, x344, x345, x346, x347, x348, x349, x350, x351, x352) -> f1106_0_createList_LE(x353, x354, x355, x356, x357, x358, x359, x360, x361, x362, x363, x364, x365, x366, x367, x368, x369, x370, x371, x372, x373, x374, x375) :|: x350 = x375 && x347 = x369 && x346 = x368 && x344 = x367 && x343 = x366 && x342 = x365 && x341 = x364 && x338 = x363 && x337 = x362 && x336 = x361 && x335 = x360 && x332 = x359 && x339 = x358 && x340 = x357 && x334 = x356 && x333 = x355 && x330 = x354 && x349 + 9 <= x331 && x350 + 3 <= x331 && x348 + 9 <= x331 && x347 + 5 <= x331 && 11 <= x353 - 1 && 11 <= x331 - 1
f1106_0_createList_LE(x376, x377, x378, x379, x380, x381, x382, x383, x384, x385, x386, x387, x388, x389, x390, x391, x392, x393, x394, x395, x396, x397, x398) -> f1106_0_createList_LE(x399, x400, x401, x402, x403, x404, x405, x406, x407, x408, x409, x410, x411, x412, x413, x414, x415, x416, x417, x418, x419, x420, x421) :|: 0 <= x377 - 1 && -1 <= x422 - 1 && 0 <= x391 - 1 && x391 <= x422 - 1 && 0 <= x379 - 1 && 0 <= x378 - 1 && 0 <= x382 - 1 && 0 <= x381 - 1 && 0 <= x380 - 1 && 0 <= x389 - 1 && -1 <= x423 - 1 && 0 <= x384 - 1 && 0 <= x387 - 1 && 0 <= x385 - 1 && 0 <= x390 - 1 && 0 <= x388 - 1 && 0 <= x386 - 1 && 0 <= x383 - 1 && -1 <= x398 - 1 && -1 <= x392 - 1 && 11 <= x376 - 1 && 11 <= x399 - 1 && x392 + 5 <= x376 && x393 + 11 <= x376 && x394 + 11 <= x376 && x395 + 9 <= x376 && x396 + 9 <= x376 && x398 + 3 <= x376 && x397 + 9 <= x376 && x377 - 1 = x400 && x378 = x401 && x379 = x402 && x391 + 1 = x414 && x392 + 1 = x415 && x398 + 1 = x421
__init(x424, x425, x426, x427, x428, x429, x430, x431, x432, x433, x434, x435, x436, x437, x438, x439, x440, x441, x442, x443, x444, x445, x446) -> f1_0_main_Load(x447, x448, x449, x450, x451, x452, x453, x454, x455, x456, x457, x458, x459, x460, x461, x462, x463, x464, x465, x466, x467, x468, x469) :|: 0 <= 0
Start term: __init(arg1, arg2, arg3, arg4, arg5, arg6, arg7, arg8, arg9, arg10, arg11, arg12, arg13, arg14, arg15, arg16, arg17, arg18, arg19, arg20, arg21, arg22, arg23)

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

(3) IRSwTTerminationDigraphProof (EQUIVALENT)
Constructed termination digraph!
Nodes:
(1) f328_0_createList_Load(arg1, arg2, arg3, arg4, arg5, arg6, arg7, arg8, arg9, arg10, arg11, arg12, arg13, arg14, arg15, arg16, arg17, arg18, arg19, arg20, arg21, arg22, arg23) -> f724_0_createList_Load(arg1P, arg2P, arg3P, arg4P, arg5P, arg6P, arg7P, arg8P, arg9P, arg10P, arg11P, arg12P, arg13P, arg14P, arg15P, arg16P, arg17P, arg18P, arg19P, arg20P, arg21P, arg22P, arg23P) :|: arg7 = arg21P && arg6 = arg18P && arg5 = arg17P && arg4 = arg15P && arg3 = arg14P && arg3 = arg13P && 0 = arg9P && 0 = arg8P && 0 = arg7P && arg4 = arg5P && 0 = arg4P && 0 = arg3P && arg1 = arg1P && arg7 + 3 <= arg2 && arg6 + 5 <= arg2 && 9 <= arg2P - 1 && 9 <= arg2 - 1
(2) f340_0_createList_Return(x, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22) -> f783_0_toArray_FieldAccess(x23, x24, x25, x26, x27, x28, x29, x30, x31, x32, x33, x34, x35, x39, x40, x41, x42, x43, x44, x45, x46, x47, x48) :|: x3 = x29 && x6 = x28 && x5 + 7 <= x && x6 + 3 <= x && x4 + 7 <= x && x3 + 5 <= x && 0 <= x24 - 1 && 7 <= x23 - 1 && 6 <= x - 1 && x24 + 6 <= x && x26 <= x2 - 1 && -1 <= x2 - 1 && -1 <= x1 - 1 && x25 <= x1 - 1
(3) f1_0_main_Load(x49, x50, x51, x52, x53, x54, x55, x56, x57, x58, x59, x60, x61, x62, x63, x64, x65, x66, x67, x68, x69, x70, x71) -> f783_0_toArray_FieldAccess(x72, x73, x74, x75, x76, x77, x78, x79, x80, x81, x82, x83, x84, x85, x86, x87, x88, x89, x90, x91, x92, x93, x94) :|: -1 <= x95 - 1 && 0 <= x50 - 1 && -1 <= x96 - 1 && x74 <= x96 - 1 && -1 <= x97 - 1 && x75 <= x97 - 1 && x73 <= x49 && 0 <= x49 - 1 && 7 <= x72 - 1 && 0 <= x73 - 1
(4) f783_0_toArray_FieldAccess(x98, x99, x100, x101, x102, x103, x104, x105, x106, x107, x108, x109, x110, x111, x112, x113, x114, x115, x116, x117, x118, x120, x121) -> f1044_0_toArray_EQ(x122, x123, x124, x125, x126, x127, x128, x129, x130, x131, x132, x133, x134, x135, x136, x137, x138, x139, x140, x141, x142, x143, x144) :|: x104 = x131 && x103 = x130 && 0 = x129 && 0 = x128 && x100 = x127 && 0 = x126 && x100 = x125 && 0 = x124 && x103 + 3 <= x98 && x102 + 8 <= x98 && x104 + 5 <= x98 && 0 <= x123 - 1 && 7 <= x122 - 1 && 0 <= x99 - 1 && 7 <= x98 - 1 && x123 <= x99 && x123 + 7 <= x98 && 0 <= x100 - 1 && x122 <= x98
(5) f783_0_toArray_FieldAccess(x145, x146, x147, x148, x149, x150, x151, x152, x153, x154, x155, x156, x157, x158, x159, x161, x162, x163, x164, x165, x166, x167, x168) -> f1044_0_toArray_EQ(x169, x170, x171, x172, x173, x174, x175, x176, x177, x178, x179, x180, x181, x182, x183, x184, x185, x186, x187, x188, x189, x190, x191) :|: x151 = x178 && x150 = x177 && 0 = x176 && 0 = x175 && x147 = x174 && 0 = x173 && x147 = x172 && 0 = x171 && x150 + 3 <= x145 && x149 + 8 <= x145 && x151 + 5 <= x145 && 0 <= x170 - 1 && 7 <= x169 - 1 && 0 <= x146 - 1 && 7 <= x145 - 1 && x170 <= x146 && x170 + 7 <= x145 && x169 <= x145 && 0 <= x147 - 1 && 0 <= x148 - 1
(6) f1044_0_toArray_EQ(x192, x193, x194, x195, x196, x197, x198, x199, x200, x201, x202, x203, x204, x205, x206, x207, x208, x209, x210, x211, x212, x213, x214) -> f1044_0_toArray_EQ(x215, x216, x217, x218, x219, x220, x221, x222, x223, x224, x225, x226, x227, x228, x229, x230, x231, x232, x233, x234, x235, x236, x237) :|: x201 = x224 && x200 = x223 && x196 = x219 && x195 = x218 && x194 + 1 = x217 && x200 + 3 <= x192 && x201 + 5 <= x192 && 0 <= x216 - 1 && 7 <= x215 - 1 && 0 <= x193 - 1 && 7 <= x192 - 1 && x216 <= x193 && x216 + 7 <= x192 && x199 <= x196 - 1 && x194 <= x201 - 1 && x221 <= x198 - 1 && x199 <= x195 - 1 && 0 <= x196 - 1 && x220 <= x197 - 1 && x199 <= x222 - 1 && 0 <= x197 - 1 && 0 <= x198 - 1 && 0 <= x199 - 1
(7) f1044_0_toArray_EQ(x238, x239, x240, x241, x242, x243, x244, x245, x246, x247, x248, x249, x250, x251, x252, x253, x254, x255, x256, x257, x258, x259, x260) -> f1044_0_toArray_EQ(x261, x262, x263, x264, x265, x266, x267, x268, x269, x270, x271, x272, x273, x274, x275, x276, x277, x278, x279, x280, x281, x282, x283) :|: x247 = x270 && x246 = x269 && 1 = x268 && 0 = x265 && x240 + 1 = x263 && x241 = x243 && x246 + 3 <= x238 && x247 + 5 <= x238 && 0 <= x262 - 1 && 9 <= x261 - 1 && 0 <= x239 - 1 && 9 <= x238 - 1 && x262 <= x239 && x262 + 9 <= x238 && -1 <= x242 - 1 && x240 <= x247 - 1 && x267 <= x242 - 1 && 0 <= x241 - 1 && x266 <= x241 - 1
(8) f1_0_main_Load(x284, x285, x286, x287, x288, x289, x290, x291, x292, x293, x294, x295, x296, x297, x298, x299, x300, x301, x302, x303, x304, x305, x306) -> f328_0_createList_Load(x307, x308, x309, x310, x311, x312, x313, x314, x315, x316, x317, x318, x319, x320, x321, x322, x323, x324, x325, x326, x327, x328, x329) :|: 0 = x313 && 0 = x312 && 1 = x311 && 7 <= x308 - 1 && 0 <= x284 - 1 && x308 - 7 <= x284 && 0 <= x285 - 1 && -1 <= x307 - 1
(9) f724_0_createList_Load(x330, x331, x332, x333, x334, x335, x336, x337, x338, x339, x340, x341, x342, x343, x344, x345, x346, x347, x348, x349, x350, x351, x352) -> f1106_0_createList_LE(x353, x354, x355, x356, x357, x358, x359, x360, x361, x362, x363, x364, x365, x366, x367, x368, x369, x370, x371, x372, x373, x374, x375) :|: x350 = x375 && x347 = x369 && x346 = x368 && x344 = x367 && x343 = x366 && x342 = x365 && x341 = x364 && x338 = x363 && x337 = x362 && x336 = x361 && x335 = x360 && x332 = x359 && x339 = x358 && x340 = x357 && x334 = x356 && x333 = x355 && x330 = x354 && x349 + 9 <= x331 && x350 + 3 <= x331 && x348 + 9 <= x331 && x347 + 5 <= x331 && 11 <= x353 - 1 && 11 <= x331 - 1
(10) f1106_0_createList_LE(x376, x377, x378, x379, x380, x381, x382, x383, x384, x385, x386, x387, x388, x389, x390, x391, x392, x393, x394, x395, x396, x397, x398) -> f1106_0_createList_LE(x399, x400, x401, x402, x403, x404, x405, x406, x407, x408, x409, x410, x411, x412, x413, x414, x415, x416, x417, x418, x419, x420, x421) :|: 0 <= x377 - 1 && -1 <= x422 - 1 && 0 <= x391 - 1 && x391 <= x422 - 1 && 0 <= x379 - 1 && 0 <= x378 - 1 && 0 <= x382 - 1 && 0 <= x381 - 1 && 0 <= x380 - 1 && 0 <= x389 - 1 && -1 <= x423 - 1 && 0 <= x384 - 1 && 0 <= x387 - 1 && 0 <= x385 - 1 && 0 <= x390 - 1 && 0 <= x388 - 1 && 0 <= x386 - 1 && 0 <= x383 - 1 && -1 <= x398 - 1 && -1 <= x392 - 1 && 11 <= x376 - 1 && 11 <= x399 - 1 && x392 + 5 <= x376 && x393 + 11 <= x376 && x394 + 11 <= x376 && x395 + 9 <= x376 && x396 + 9 <= x376 && x398 + 3 <= x376 && x397 + 9 <= x376 && x377 - 1 = x400 && x378 = x401 && x379 = x402 && x391 + 1 = x414 && x392 + 1 = x415 && x398 + 1 = x421
(11) __init(x424, x425, x426, x427, x428, x429, x430, x431, x432, x433, x434, x435, x436, x437, x438, x439, x440, x441, x442, x443, x444, x445, x446) -> f1_0_main_Load(x447, x448, x449, x450, x451, x452, x453, x454, x455, x456, x457, x458, x459, x460, x461, x462, x463, x464, x465, x466, x467, x468, x469) :|: 0 <= 0

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

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

(4)
Complex Obligation (AND)

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

(5)
Obligation:

Termination digraph:
Nodes:
(1) f1044_0_toArray_EQ(x192, x193, x194, x195, x196, x197, x198, x199, x200, x201, x202, x203, x204, x205, x206, x207, x208, x209, x210, x211, x212, x213, x214) -> f1044_0_toArray_EQ(x215, x216, x217, x218, x219, x220, x221, x222, x223, x224, x225, x226, x227, x228, x229, x230, x231, x232, x233, x234, x235, x236, x237) :|: x201 = x224 && x200 = x223 && x196 = x219 && x195 = x218 && x194 + 1 = x217 && x200 + 3 <= x192 && x201 + 5 <= x192 && 0 <= x216 - 1 && 7 <= x215 - 1 && 0 <= x193 - 1 && 7 <= x192 - 1 && x216 <= x193 && x216 + 7 <= x192 && x199 <= x196 - 1 && x194 <= x201 - 1 && x221 <= x198 - 1 && x199 <= x195 - 1 && 0 <= x196 - 1 && x220 <= x197 - 1 && x199 <= x222 - 1 && 0 <= x197 - 1 && 0 <= x198 - 1 && 0 <= x199 - 1

Arcs:
(1) -> (1)

This digraph is fully evaluated!

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

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

(7)
Obligation:
Rules:
f1044_0_toArray_EQ(x192:0, x193:0, x194:0, x195:0, x196:0, x197:0, x198:0, x199:0, x200:0, x201:0, x202:0, x203:0, x204:0, x205:0, x206:0, x207:0, x208:0, x209:0, x210:0, x211:0, x212:0, x213:0, x214:0) -> f1044_0_toArray_EQ(x215:0, x216:0, x194:0 + 1, x195:0, x196:0, x220:0, x221:0, x222:0, x200:0, x201:0, x225:0, x226:0, x227:0, x228:0, x229:0, x230:0, x231:0, x232:0, x233:0, x234:0, x235:0, x236:0, x237:0) :|: x198:0 > 0 && x199:0 > 0 && x197:0 > 0 && x222:0 - 1 >= x199:0 && x220:0 <= x197:0 - 1 && x196:0 > 0 && x199:0 <= x195:0 - 1 && x221:0 <= x198:0 - 1 && x201:0 - 1 >= x194:0 && x199:0 <= x196:0 - 1 && x216:0 + 7 <= x192:0 && x216:0 <= x193:0 && x192:0 > 7 && x193:0 > 0 && x215:0 > 7 && x216:0 > 0 && x200:0 + 3 <= x192:0 && x201:0 + 5 <= x192:0

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

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

   f1044_0_toArray_EQ(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22, x23) -> f1044_0_toArray_EQ(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)

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

(9)
Obligation:
Rules:
f1044_0_toArray_EQ(x192:0, x193:0, x194:0, x195:0, x196:0, x197:0, x198:0, x199:0, x200:0, x201:0) -> f1044_0_toArray_EQ(x215:0, x216:0, x194:0 + 1, x195:0, x196:0, x220:0, x221:0, x222:0, x200:0, x201:0) :|: x198:0 > 0 && x199:0 > 0 && x197:0 > 0 && x222:0 - 1 >= x199:0 && x220:0 <= x197:0 - 1 && x196:0 > 0 && x199:0 <= x195:0 - 1 && x221:0 <= x198:0 - 1 && x201:0 - 1 >= x194:0 && x199:0 <= x196:0 - 1 && x216:0 + 7 <= x192:0 && x216:0 <= x193:0 && x192:0 > 7 && x193:0 > 0 && x215:0 > 7 && x216:0 > 0 && x200:0 + 3 <= x192:0 && x201:0 + 5 <= x192:0

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

(10) TempFilterProof (SOUND)
Used the following sort dictionary for filtering: 
f1044_0_toArray_EQ(INTEGER, INTEGER, INTEGER, INTEGER, INTEGER, INTEGER, INTEGER, INTEGER, INTEGER, INTEGER)
Replaced non-predefined constructor symbols by 0.
----------------------------------------

(11)
Obligation:
Rules:
f1044_0_toArray_EQ(x192:0, x193:0, x194:0, x195:0, x196:0, x197:0, x198:0, x199:0, x200:0, x201:0) -> f1044_0_toArray_EQ(x215:0, x216:0, c, x195:0, x196:0, x220:0, x221:0, x222:0, x200:0, x201:0) :|: c = x194:0 + 1 && (x198:0 > 0 && x199:0 > 0 && x197:0 > 0 && x222:0 - 1 >= x199:0 && x220:0 <= x197:0 - 1 && x196:0 > 0 && x199:0 <= x195:0 - 1 && x221:0 <= x198:0 - 1 && x201:0 - 1 >= x194:0 && x199:0 <= x196:0 - 1 && x216:0 + 7 <= x192:0 && x216:0 <= x193:0 && x192:0 > 7 && x193:0 > 0 && x215:0 > 7 && x216:0 > 0 && x200:0 + 3 <= x192:0 && x201:0 + 5 <= x192:0)

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

(12) PolynomialOrderProcessor (EQUIVALENT)
Found the following polynomial interpretation:
[f1044_0_toArray_EQ(x, x1, x2, x3, x4, x5, x6, x7, x8, x9)] = x6

The following rules are decreasing:
f1044_0_toArray_EQ(x192:0, x193:0, x194:0, x195:0, x196:0, x197:0, x198:0, x199:0, x200:0, x201:0) -> f1044_0_toArray_EQ(x215:0, x216:0, c, x195:0, x196:0, x220:0, x221:0, x222:0, x200:0, x201:0) :|: c = x194:0 + 1 && (x198:0 > 0 && x199:0 > 0 && x197:0 > 0 && x222:0 - 1 >= x199:0 && x220:0 <= x197:0 - 1 && x196:0 > 0 && x199:0 <= x195:0 - 1 && x221:0 <= x198:0 - 1 && x201:0 - 1 >= x194:0 && x199:0 <= x196:0 - 1 && x216:0 + 7 <= x192:0 && x216:0 <= x193:0 && x192:0 > 7 && x193:0 > 0 && x215:0 > 7 && x216:0 > 0 && x200:0 + 3 <= x192:0 && x201:0 + 5 <= x192:0)
The following rules are bounded:
f1044_0_toArray_EQ(x192:0, x193:0, x194:0, x195:0, x196:0, x197:0, x198:0, x199:0, x200:0, x201:0) -> f1044_0_toArray_EQ(x215:0, x216:0, c, x195:0, x196:0, x220:0, x221:0, x222:0, x200:0, x201:0) :|: c = x194:0 + 1 && (x198:0 > 0 && x199:0 > 0 && x197:0 > 0 && x222:0 - 1 >= x199:0 && x220:0 <= x197:0 - 1 && x196:0 > 0 && x199:0 <= x195:0 - 1 && x221:0 <= x198:0 - 1 && x201:0 - 1 >= x194:0 && x199:0 <= x196:0 - 1 && x216:0 + 7 <= x192:0 && x216:0 <= x193:0 && x192:0 > 7 && x193:0 > 0 && x215:0 > 7 && x216:0 > 0 && x200:0 + 3 <= x192:0 && x201:0 + 5 <= x192:0)

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

(13)
YES

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

(14)
Obligation:

Termination digraph:
Nodes:
(1) f1044_0_toArray_EQ(x238, x239, x240, x241, x242, x243, x244, x245, x246, x247, x248, x249, x250, x251, x252, x253, x254, x255, x256, x257, x258, x259, x260) -> f1044_0_toArray_EQ(x261, x262, x263, x264, x265, x266, x267, x268, x269, x270, x271, x272, x273, x274, x275, x276, x277, x278, x279, x280, x281, x282, x283) :|: x247 = x270 && x246 = x269 && 1 = x268 && 0 = x265 && x240 + 1 = x263 && x241 = x243 && x246 + 3 <= x238 && x247 + 5 <= x238 && 0 <= x262 - 1 && 9 <= x261 - 1 && 0 <= x239 - 1 && 9 <= x238 - 1 && x262 <= x239 && x262 + 9 <= x238 && -1 <= x242 - 1 && x240 <= x247 - 1 && x267 <= x242 - 1 && 0 <= x241 - 1 && x266 <= x241 - 1

Arcs:
(1) -> (1)

This digraph is fully evaluated!

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

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

(16)
Obligation:
Rules:
f1044_0_toArray_EQ(x238:0, x239:0, x240:0, x241:0, x242:0, x241:0, x244:0, x245:0, x246:0, x247:0, x248:0, x249:0, x250:0, x251:0, x252:0, x253:0, x254:0, x255:0, x256:0, x257:0, x258:0, x259:0, x260:0) -> f1044_0_toArray_EQ(x261:0, x262:0, x240:0 + 1, x264:0, 0, x266:0, x267:0, 1, x246:0, x247:0, x271:0, x272:0, x273:0, x274:0, x275:0, x276:0, x277:0, x278:0, x279:0, x280:0, x281:0, x282:0, x283:0) :|: x241:0 > 0 && x266:0 <= x241:0 - 1 && x267:0 <= x242:0 - 1 && x247:0 - 1 >= x240:0 && x242:0 > -1 && x262:0 + 9 <= x238:0 && x262:0 <= x239:0 && x238:0 > 9 && x239:0 > 0 && x261:0 > 9 && x262:0 > 0 && x246:0 + 3 <= x238:0 && x247:0 + 5 <= x238:0

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

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

   f1044_0_toArray_EQ(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22, x23) -> f1044_0_toArray_EQ(x1, x2, x3, x4, x5, x6, x7, x9, x10)

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

(18)
Obligation:
Rules:
f1044_0_toArray_EQ(x238:0, x239:0, x240:0, x241:0, x242:0, x241:0, x244:0, x246:0, x247:0) -> f1044_0_toArray_EQ(x261:0, x262:0, x240:0 + 1, x264:0, 0, x266:0, x267:0, x246:0, x247:0) :|: x241:0 > 0 && x266:0 <= x241:0 - 1 && x267:0 <= x242:0 - 1 && x247:0 - 1 >= x240:0 && x242:0 > -1 && x262:0 + 9 <= x238:0 && x262:0 <= x239:0 && x238:0 > 9 && x239:0 > 0 && x261:0 > 9 && x262:0 > 0 && x246:0 + 3 <= x238:0 && x247:0 + 5 <= x238:0

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

(19) TempFilterProof (SOUND)
Used the following sort dictionary for filtering: 
f1044_0_toArray_EQ(INTEGER, INTEGER, INTEGER, VARIABLE, VARIABLE, INTEGER, VARIABLE, INTEGER, INTEGER)
Replaced non-predefined constructor symbols by 0.
----------------------------------------

(20)
Obligation:
Rules:
f1044_0_toArray_EQ(x238:0, x239:0, x240:0, x241:0, x242:0, x241:0, x244:0, x246:0, x247:0) -> f1044_0_toArray_EQ(x261:0, x262:0, c, x264:0, c1, x266:0, x267:0, x246:0, x247:0) :|: c1 = 0 && c = x240:0 + 1 && (x241:0 > 0 && x266:0 <= x241:0 - 1 && x267:0 <= x242:0 - 1 && x247:0 - 1 >= x240:0 && x242:0 > -1 && x262:0 + 9 <= x238:0 && x262:0 <= x239:0 && x238:0 > 9 && x239:0 > 0 && x261:0 > 9 && x262:0 > 0 && x246:0 + 3 <= x238:0 && x247:0 + 5 <= x238:0)

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

(21) PolynomialOrderProcessor (EQUIVALENT)
Found the following polynomial interpretation:
[f1044_0_toArray_EQ(x, x1, x2, x3, x4, x5, x6, x7, x8)] = x5

The following rules are decreasing:
f1044_0_toArray_EQ(x238:0, x239:0, x240:0, x241:0, x242:0, x241:0, x244:0, x246:0, x247:0) -> f1044_0_toArray_EQ(x261:0, x262:0, c, x264:0, c1, x266:0, x267:0, x246:0, x247:0) :|: c1 = 0 && c = x240:0 + 1 && (x241:0 > 0 && x266:0 <= x241:0 - 1 && x267:0 <= x242:0 - 1 && x247:0 - 1 >= x240:0 && x242:0 > -1 && x262:0 + 9 <= x238:0 && x262:0 <= x239:0 && x238:0 > 9 && x239:0 > 0 && x261:0 > 9 && x262:0 > 0 && x246:0 + 3 <= x238:0 && x247:0 + 5 <= x238:0)
The following rules are bounded:
f1044_0_toArray_EQ(x238:0, x239:0, x240:0, x241:0, x242:0, x241:0, x244:0, x246:0, x247:0) -> f1044_0_toArray_EQ(x261:0, x262:0, c, x264:0, c1, x266:0, x267:0, x246:0, x247:0) :|: c1 = 0 && c = x240:0 + 1 && (x241:0 > 0 && x266:0 <= x241:0 - 1 && x267:0 <= x242:0 - 1 && x247:0 - 1 >= x240:0 && x242:0 > -1 && x262:0 + 9 <= x238:0 && x262:0 <= x239:0 && x238:0 > 9 && x239:0 > 0 && x261:0 > 9 && x262:0 > 0 && x246:0 + 3 <= x238:0 && x247:0 + 5 <= x238:0)

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

(22)
YES

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

(23)
Obligation:

Termination digraph:
Nodes:
(1) f1106_0_createList_LE(x376, x377, x378, x379, x380, x381, x382, x383, x384, x385, x386, x387, x388, x389, x390, x391, x392, x393, x394, x395, x396, x397, x398) -> f1106_0_createList_LE(x399, x400, x401, x402, x403, x404, x405, x406, x407, x408, x409, x410, x411, x412, x413, x414, x415, x416, x417, x418, x419, x420, x421) :|: 0 <= x377 - 1 && -1 <= x422 - 1 && 0 <= x391 - 1 && x391 <= x422 - 1 && 0 <= x379 - 1 && 0 <= x378 - 1 && 0 <= x382 - 1 && 0 <= x381 - 1 && 0 <= x380 - 1 && 0 <= x389 - 1 && -1 <= x423 - 1 && 0 <= x384 - 1 && 0 <= x387 - 1 && 0 <= x385 - 1 && 0 <= x390 - 1 && 0 <= x388 - 1 && 0 <= x386 - 1 && 0 <= x383 - 1 && -1 <= x398 - 1 && -1 <= x392 - 1 && 11 <= x376 - 1 && 11 <= x399 - 1 && x392 + 5 <= x376 && x393 + 11 <= x376 && x394 + 11 <= x376 && x395 + 9 <= x376 && x396 + 9 <= x376 && x398 + 3 <= x376 && x397 + 9 <= x376 && x377 - 1 = x400 && x378 = x401 && x379 = x402 && x391 + 1 = x414 && x392 + 1 = x415 && x398 + 1 = x421

Arcs:
(1) -> (1)

This digraph is fully evaluated!

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

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

(25)
Obligation:
Rules:
f1106_0_createList_LE(x376:0, x377:0, x378:0, x379:0, x380:0, x381:0, x382:0, x383:0, x384:0, x385:0, x386:0, x387:0, x388:0, x389:0, x390:0, x391:0, x392:0, x393:0, x394:0, x395:0, x396:0, x397:0, x398:0) -> f1106_0_createList_LE(x399:0, x377:0 - 1, x378:0, x379:0, x403:0, x404:0, x405:0, x406:0, x407:0, x408:0, x409:0, x410:0, x411:0, x412:0, x413:0, x391:0 + 1, x392:0 + 1, x416:0, x417:0, x418:0, x419:0, x420:0, x398:0 + 1) :|: x398:0 + 3 <= x376:0 && x397:0 + 9 <= x376:0 && x396:0 + 9 <= x376:0 && x395:0 + 9 <= x376:0 && x394:0 + 11 <= x376:0 && x393:0 + 11 <= x376:0 && x392:0 + 5 <= x376:0 && x399:0 > 11 && x376:0 > 11 && x392:0 > -1 && x398:0 > -1 && x383:0 > 0 && x386:0 > 0 && x388:0 > 0 && x390:0 > 0 && x385:0 > 0 && x387:0 > 0 && x384:0 > 0 && x423:0 > -1 && x389:0 > 0 && x380:0 > 0 && x381:0 > 0 && x382:0 > 0 && x378:0 > 0 && x379:0 > 0 && x422:0 - 1 >= x391:0 && x391:0 > 0 && x422:0 > -1 && x377:0 > 0

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(26) TempFilterProof (SOUND)
Used the following sort dictionary for filtering: 
f1106_0_createList_LE(INTEGER, INTEGER, INTEGER, INTEGER, VARIABLE, VARIABLE, VARIABLE, VARIABLE, VARIABLE, VARIABLE, VARIABLE, VARIABLE, VARIABLE, VARIABLE, VARIABLE, INTEGER, INTEGER, VARIABLE, VARIABLE, VARIABLE, VARIABLE, VARIABLE, INTEGER)
Replaced non-predefined constructor symbols by 0.
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(27)
Obligation:
Rules:
f1106_0_createList_LE(x376:0, x377:0, x378:0, x379:0, x380:0, x381:0, x382:0, x383:0, x384:0, x385:0, x386:0, x387:0, x388:0, x389:0, x390:0, x391:0, x392:0, x393:0, x394:0, x395:0, x396:0, x397:0, x398:0) -> f1106_0_createList_LE(x399:0, c, x378:0, x379:0, x403:0, x404:0, x405:0, x406:0, x407:0, x408:0, x409:0, x410:0, x411:0, x412:0, x413:0, c1, c2, x416:0, x417:0, x418:0, x419:0, x420:0, c3) :|: c3 = x398:0 + 1 && (c2 = x392:0 + 1 && (c1 = x391:0 + 1 && c = x377:0 - 1)) && (x398:0 + 3 <= x376:0 && x397:0 + 9 <= x376:0 && x396:0 + 9 <= x376:0 && x395:0 + 9 <= x376:0 && x394:0 + 11 <= x376:0 && x393:0 + 11 <= x376:0 && x392:0 + 5 <= x376:0 && x399:0 > 11 && x376:0 > 11 && x392:0 > -1 && x398:0 > -1 && x383:0 > 0 && x386:0 > 0 && x388:0 > 0 && x390:0 > 0 && x385:0 > 0 && x387:0 > 0 && x384:0 > 0 && x423:0 > -1 && x389:0 > 0 && x380:0 > 0 && x381:0 > 0 && x382:0 > 0 && x378:0 > 0 && x379:0 > 0 && x422:0 - 1 >= x391:0 && x391:0 > 0 && x422:0 > -1 && x377:0 > 0)

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(28) RankingReductionPairProof (EQUIVALENT)
Interpretation:
[ f1106_0_createList_LE ] = f1106_0_createList_LE_2

The following rules are decreasing:
f1106_0_createList_LE(x376:0, x377:0, x378:0, x379:0, x380:0, x381:0, x382:0, x383:0, x384:0, x385:0, x386:0, x387:0, x388:0, x389:0, x390:0, x391:0, x392:0, x393:0, x394:0, x395:0, x396:0, x397:0, x398:0) -> f1106_0_createList_LE(x399:0, c, x378:0, x379:0, x403:0, x404:0, x405:0, x406:0, x407:0, x408:0, x409:0, x410:0, x411:0, x412:0, x413:0, c1, c2, x416:0, x417:0, x418:0, x419:0, x420:0, c3) :|: c3 = x398:0 + 1 && (c2 = x392:0 + 1 && (c1 = x391:0 + 1 && c = x377:0 - 1)) && (x398:0 + 3 <= x376:0 && x397:0 + 9 <= x376:0 && x396:0 + 9 <= x376:0 && x395:0 + 9 <= x376:0 && x394:0 + 11 <= x376:0 && x393:0 + 11 <= x376:0 && x392:0 + 5 <= x376:0 && x399:0 > 11 && x376:0 > 11 && x392:0 > -1 && x398:0 > -1 && x383:0 > 0 && x386:0 > 0 && x388:0 > 0 && x390:0 > 0 && x385:0 > 0 && x387:0 > 0 && x384:0 > 0 && x423:0 > -1 && x389:0 > 0 && x380:0 > 0 && x381:0 > 0 && x382:0 > 0 && x378:0 > 0 && x379:0 > 0 && x422:0 - 1 >= x391:0 && x391:0 > 0 && x422:0 > -1 && x377:0 > 0)

The following rules are bounded:
f1106_0_createList_LE(x376:0, x377:0, x378:0, x379:0, x380:0, x381:0, x382:0, x383:0, x384:0, x385:0, x386:0, x387:0, x388:0, x389:0, x390:0, x391:0, x392:0, x393:0, x394:0, x395:0, x396:0, x397:0, x398:0) -> f1106_0_createList_LE(x399:0, c, x378:0, x379:0, x403:0, x404:0, x405:0, x406:0, x407:0, x408:0, x409:0, x410:0, x411:0, x412:0, x413:0, c1, c2, x416:0, x417:0, x418:0, x419:0, x420:0, c3) :|: c3 = x398:0 + 1 && (c2 = x392:0 + 1 && (c1 = x391:0 + 1 && c = x377:0 - 1)) && (x398:0 + 3 <= x376:0 && x397:0 + 9 <= x376:0 && x396:0 + 9 <= x376:0 && x395:0 + 9 <= x376:0 && x394:0 + 11 <= x376:0 && x393:0 + 11 <= x376:0 && x392:0 + 5 <= x376:0 && x399:0 > 11 && x376:0 > 11 && x392:0 > -1 && x398:0 > -1 && x383:0 > 0 && x386:0 > 0 && x388:0 > 0 && x390:0 > 0 && x385:0 > 0 && x387:0 > 0 && x384:0 > 0 && x423:0 > -1 && x389:0 > 0 && x380:0 > 0 && x381:0 > 0 && x382:0 > 0 && x378:0 > 0 && x379:0 > 0 && x422:0 - 1 >= x391:0 && x391:0 > 0 && x422:0 > -1 && x377:0 > 0)


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(29)
YES