TSTP Solution File: NUM377+1.025 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM377+1.025 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:04:43 EDT 2022
% Result : Unsatisfiable 7.90s 1.52s
% Output : Refutation 7.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1182
% Syntax : Number of formulae : 3398 (2207 unt; 0 def)
% Number of atoms : 11801 (9440 equ)
% Maximal formula atoms : 2360 ( 3 avg)
% Number of connectives : 11203 (2800 ~; 592 |;6630 &)
% (1180 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 1160 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 1182 (1180 usr;1181 prp; 0-2 aty)
% Number of functors : 81 ( 81 usr; 78 con; 0-2 aty)
% Number of variables : 208 ( 0 !; 208 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6938,plain,
$false,
inference(avatar_smt_refutation,[],[f1116,f1121,f1126,f1131,f1136,f1141,f1146,f1151,f1156,f1161,f1166,f1171,f1176,f1181,f1186,f1191,f1196,f1201,f1206,f1211,f1216,f1221,f1226,f1231,f1236,f1241,f1246,f1251,f1256,f1261,f1266,f1271,f1276,f1281,f1286,f1291,f1296,f1301,f1306,f1311,f1316,f1321,f1326,f1331,f1336,f1341,f1346,f1351,f1356,f1361,f1366,f1371,f1376,f1381,f1386,f1391,f1396,f1401,f1406,f1411,f1416,f1421,f1426,f1431,f1436,f1441,f1446,f1451,f1456,f1461,f1466,f1471,f1476,f1481,f1486,f1491,f1496,f1501,f1506,f1511,f1516,f1521,f1526,f1531,f1536,f1541,f1546,f1551,f1556,f1561,f1566,f1571,f1576,f1581,f1586,f1591,f1596,f1601,f1606,f1611,f1616,f1621,f1626,f1631,f1636,f1641,f1646,f1651,f1656,f1661,f1666,f1671,f1676,f1681,f1686,f1691,f1696,f1701,f1706,f1711,f1716,f1721,f1726,f1731,f1736,f1741,f1746,f1751,f1756,f1761,f1766,f1771,f1872,f1877,f1882,f1887,f1892,f1897,f1902,f1907,f1912,f1917,f1922,f1927,f1932,f1937,f1942,f1947,f1952,f1957,f1962,f1967,f1972,f1977,f1982,f1987,f1992,f1997,f2002,f2007,f2012,f2017,f2022,f2027,f2032,f2037,f2042,f2047,f2052,f2057,f2062,f2067,f2072,f2077,f2082,f2087,f2092,f2097,f2102,f2107,f2112,f2117,f2122,f2127,f2132,f2137,f2142,f2147,f2152,f2157,f2162,f2167,f2172,f2177,f2182,f2187,f2192,f2197,f2202,f2207,f2212,f2217,f2222,f2227,f2232,f2237,f2242,f2247,f2252,f2257,f2262,f2267,f2272,f2277,f2282,f2287,f2292,f2297,f2302,f2307,f2312,f2317,f2322,f2327,f2332,f2337,f2342,f2347,f2352,f2357,f2362,f2367,f2372,f2377,f2382,f2387,f2392,f2397,f2402,f2407,f2412,f2417,f2422,f2427,f2432,f2437,f2442,f2447,f2452,f2457,f2462,f2467,f2472,f2477,f2482,f2487,f2492,f2497,f2502,f2507,f2512,f2517,f2522,f2527,f2532,f2537,f2542,f2547,f2552,f2557,f2562,f2567,f2572,f2577,f2582,f2587,f2592,f2597,f2602,f2607,f2612,f2617,f2622,f2627,f2632,f2637,f2642,f2647,f2652,f2657,f2662,f2667,f2672,f2677,f2682,f2687,f2692,f2697,f2702,f2707,f2712,f2717,f2722,f2727,f2732,f2737,f2742,f2747,f2752,f2757,f2762,f2767,f2772,f2777,f2782,f2787,f2792,f2797,f2802,f2807,f2812,f2817,f2822,f2827,f2832,f2837,f2842,f2847,f2852,f2857,f2862,f2867,f2872,f2877,f2882,f2887,f2892,f2897,f2902,f2907,f2912,f2917,f2922,f2927,f2932,f2937,f2942,f2947,f2952,f2957,f2962,f2967,f2972,f2977,f2982,f2987,f2992,f2997,f3002,f3007,f3012,f3017,f3022,f3027,f3032,f3037,f3042,f3047,f3052,f3057,f3062,f3067,f3072,f3077,f3082,f3087,f3092,f3097,f3102,f3107,f3112,f3117,f3122,f3127,f3132,f3137,f3142,f3147,f3152,f3157,f3162,f3167,f3172,f3177,f3182,f3187,f3192,f3197,f3202,f3207,f3212,f3217,f3222,f3227,f3232,f3237,f3242,f3247,f3252,f3257,f3262,f3267,f3272,f3277,f3282,f3287,f3292,f3297,f3302,f3307,f3312,f3317,f3322,f3327,f3332,f3337,f3342,f3347,f3352,f3357,f3362,f3367,f3372,f3377,f3382,f3387,f3392,f3397,f3402,f3407,f3412,f3417,f3422,f3427,f3432,f3437,f3442,f3447,f3452,f3457,f3462,f3467,f3472,f3477,f3482,f3487,f3492,f3497,f3502,f3507,f3512,f3517,f3522,f3527,f3532,f3537,f3542,f3547,f3552,f3557,f3562,f3567,f3572,f3577,f3582,f3587,f3592,f3597,f3602,f3607,f3612,f3617,f3622,f3627,f3632,f3637,f3642,f3647,f3652,f3657,f3662,f3667,f3672,f3677,f3682,f3687,f3692,f3697,f3702,f3707,f3712,f3717,f3722,f3727,f3732,f3737,f3742,f3747,f3752,f3757,f3762,f3767,f3772,f3777,f3782,f3787,f3792,f3797,f3802,f3807,f3812,f3817,f3822,f3827,f3832,f3837,f3842,f3847,f3852,f3857,f3862,f3867,f3872,f3877,f3882,f3887,f3892,f3897,f3902,f3907,f3912,f3917,f3922,f3927,f3932,f3937,f3942,f3947,f3952,f3957,f3962,f3967,f3972,f3977,f3982,f3987,f3992,f3997,f4002,f4007,f4012,f4017,f4022,f4027,f4032,f4037,f4042,f4047,f4052,f4057,f4062,f4067,f4072,f4077,f4082,f4087,f4092,f4097,f4102,f4107,f4112,f4117,f4122,f4127,f4132,f4137,f4142,f4147,f4152,f4157,f4162,f4167,f4172,f4177,f4182,f4187,f4192,f4197,f4202,f4207,f4212,f4217,f4222,f4227,f4232,f4237,f4242,f4247,f4252,f4257,f4262,f4267,f4272,f4277,f4282,f4287,f4292,f4297,f4302,f4307,f4312,f4317,f4322,f4327,f4332,f4337,f4342,f4347,f4352,f4357,f4362,f4367,f4372,f4377,f4382,f4387,f4392,f4397,f4402,f4407,f4412,f4417,f4422,f4427,f4432,f4437,f4442,f4447,f4452,f4457,f4462,f4467,f4472,f4477,f4482,f4487,f4492,f4497,f4502,f4507,f4512,f4517,f4522,f4527,f4532,f4537,f4542,f4547,f4552,f4557,f4562,f4567,f4572,f4577,f4582,f4587,f4592,f4597,f4602,f4607,f4612,f4717,f4722,f4727,f4732,f4737,f4742,f4747,f4752,f4757,f4762,f4767,f4772,f4777,f4782,f4787,f4792,f4797,f4802,f4807,f4812,f4817,f4822,f4827,f4832,f4837,f4842,f4847,f4852,f4857,f4862,f4867,f4872,f4877,f4882,f4887,f4892,f4897,f4902,f4907,f4912,f4917,f4922,f4927,f4932,f4937,f4942,f4947,f4952,f4957,f4962,f4967,f4972,f4977,f4982,f4987,f4992,f4997,f5002,f5007,f5012,f5017,f5022,f5027,f5032,f5037,f5042,f5047,f5052,f5057,f5062,f5067,f5072,f5077,f5082,f5087,f5092,f5097,f5102,f5107,f5112,f5117,f5122,f5127,f5132,f5137,f5142,f5147,f5152,f5157,f5162,f5167,f5172,f5177,f5182,f5187,f5192,f5197,f5202,f5207,f5212,f5217,f5222,f5227,f5232,f5237,f5242,f5247,f5252,f5257,f5262,f5267,f5272,f5277,f5282,f5287,f5292,f5297,f5302,f5307,f5312,f5317,f5322,f5327,f5332,f5337,f5342,f5347,f5352,f5357,f5362,f5367,f5372,f5377,f5382,f5387,f5392,f5397,f5402,f5407,f5412,f5417,f5422,f5427,f5432,f5437,f5442,f5447,f5452,f5457,f5462,f5467,f5472,f5477,f5482,f5487,f5492,f5497,f5502,f5507,f5512,f5517,f5522,f5527,f5532,f5537,f5542,f5547,f5552,f5557,f5562,f5567,f5572,f5577,f5582,f5587,f5592,f5597,f5602,f5607,f5612,f5617,f5622,f5627,f5632,f5637,f5642,f5647,f5652,f5657,f5662,f5667,f5672,f5677,f5682,f5687,f5692,f5697,f5702,f5707,f5712,f5717,f5722,f5727,f5732,f5737,f5742,f5747,f5752,f5757,f5762,f5767,f5772,f5777,f5782,f5787,f5792,f5797,f5802,f5807,f5812,f5817,f5822,f5827,f5832,f5837,f5842,f5847,f5852,f5857,f5862,f5867,f5872,f5877,f5882,f5887,f5892,f5897,f5902,f5907,f5912,f5917,f5922,f5927,f5932,f5937,f5942,f5947,f5952,f5957,f5962,f5967,f5972,f5977,f5982,f5987,f5992,f5997,f6002,f6007,f6012,f6017,f6022,f6027,f6032,f6037,f6042,f6047,f6052,f6057,f6062,f6067,f6072,f6077,f6082,f6087,f6092,f6097,f6102,f6107,f6112,f6117,f6122,f6127,f6132,f6137,f6142,f6147,f6152,f6157,f6162,f6167,f6172,f6177,f6182,f6187,f6192,f6197,f6202,f6207,f6212,f6217,f6222,f6227,f6332,f6337,f6342,f6347,f6352,f6357,f6362,f6367,f6372,f6377,f6382,f6387,f6392,f6397,f6402,f6407,f6412,f6417,f6422,f6427,f6432,f6437,f6442,f6447,f6452,f6457,f6462,f6467,f6472,f6477,f6482,f6487,f6492,f6497,f6502,f6507,f6512,f6517,f6522,f6527,f6532,f6537,f6542,f6547,f6552,f6557,f6562,f6567,f6572,f6577,f6582,f6587,f6592,f6597,f6602,f6607,f6612,f6617,f6622,f6627,f6632,f6637,f6642,f6647,f6652,f6657,f6662,f6667,f6672,f6677,f6682,f6687,f6692,f6697,f6702,f6707,f6712,f6717,f6722,f6727,f6732,f6737,f6742,f6747,f6752,f6757,f6762,f6767,f6772,f6777,f6782,f6787,f6792,f6797,f6802,f6807,f6812,f6817,f6822,f6827,f6832,f6837,f6842,f6847,f6852,f6857,f6862,f6867,f6872,f6877,f6882,f6887,f6892,f6897,f6902,f6907,f6912,f6917,f6922,f6927,f6932,f6937]) ).
fof(f6937,plain,
spl52_1180,
inference(avatar_split_clause,[],[f744,f6934]) ).
fof(f6934,plain,
( spl52_1180
<=> n7 = sum(n4,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1180])]) ).
fof(f744,plain,
n7 = sum(n4,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f5,plain,
( sK40 = sum(sum(pred(sK23),succ(sK48)),sum(pred(sK48),succ(sK23)))
& n7 = sum(n2,n5)
& n10 = pred(n11)
& n14 = sum(n7,n7)
& n8 != n24
& n18 = sum(n18,n0)
& n0 = sum(n14,n12)
& n11 != n25
& n2 = sum(n25,n3)
& n20 = sum(n16,n4)
& n6 = sum(n9,n23)
& n10 = sum(n7,n3)
& n7 != n13
& n23 = sum(n24,n25)
& n4 = sum(n20,n10)
& n5 = sum(n10,n21)
& n9 != n22
& n8 != n12
& n7 != n12
& n2 != n7
& n10 = sum(n10,n0)
& n11 != n19
& n8 = sum(n17,n17)
& n23 = sum(n11,n12)
& n3 = sum(n13,n16)
& n25 = sum(n0,n25)
& n15 = sum(n4,n11)
& n11 = sum(n15,n22)
& n23 = pred(n24)
& n2 != n5
& n22 = sum(n2,n20)
& n23 = sum(n22,n1)
& n21 != n24
& n5 != n13
& n13 != n16
& n2 != n8
& n10 = sum(n22,n14)
& n23 = sum(n14,n9)
& n9 = sum(n20,n15)
& n4 != n6
& n12 = sum(n7,n5)
& n11 != n14
& n24 = sum(n20,n4)
& n6 = sum(n14,n18)
& n25 = sum(n19,n6)
& n0 != n5
& n8 = sum(n24,n10)
& n15 = sum(n7,n8)
& n5 != n10
& n13 != n14
& n8 != n22
& n22 != n25
& n18 = sum(n20,n24)
& n6 != n21
& sum(sum(pred(sK44),succ(sK33)),sum(pred(sK33),succ(sK44))) = sK26
& n7 != n18
& n0 = sum(n25,n1)
& n8 != n18
& n1 != n13
& n3 = sum(n21,n8)
& succ(n6) = n7
& n19 = sum(n16,n3)
& n0 = sum(n24,n2)
& n20 = sum(n13,n7)
& n21 = sum(n6,n15)
& n25 = sum(n17,n8)
& n9 = sum(n1,n8)
& n19 = sum(n8,n11)
& n17 != n19
& n23 = sum(n0,n23)
& sK19 = sum(sum(pred(sK45),succ(sK35)),sum(pred(sK35),succ(sK45)))
& n15 = sum(n17,n24)
& n0 = sum(n21,n5)
& n1 = sum(n11,n16)
& n1 = sum(n4,n23)
& n8 != n23
& n10 = sum(n24,n12)
& n25 = sum(n5,n20)
& n5 = sum(n20,n11)
& n14 = sum(n13,n1)
& n12 != n16
& n6 = sum(n10,n22)
& n25 = sum(n10,n15)
& n8 = sum(n20,n14)
& n13 = sum(n21,n18)
& n22 = sum(n5,n17)
& n5 != n22
& n12 != n14
& n20 = sum(n5,n15)
& n14 != n25
& n0 = sum(n22,n4)
& n13 = sum(n5,n8)
& n10 != n20
& n2 != n9
& n11 != n20
& n10 = sum(n25,n11)
& n16 = sum(n18,n24)
& sum(sum(pred(sK46),succ(sK0)),sum(pred(sK0),succ(sK46))) = sK50
& n21 != n23
& n16 = sum(n5,n11)
& n24 = sum(n22,n2)
& n3 = sum(n10,n19)
& n3 = sum(n18,n11)
& n10 = sum(n1,n9)
& n16 = sum(n16,n0)
& n20 = sum(n2,n18)
& n5 != n17
& n5 != n14
& n18 != n22
& n15 = sum(n2,n13)
& n13 = sum(n22,n17)
& n10 = sum(n15,n21)
& n3 = sum(n24,n5)
& n23 = sum(n4,n19)
& succ(n8) = n9
& n8 = sum(n16,n18)
& ( n19 = sK30
| n14 = sK30
| n20 = sK30
| n21 = sK30
| n18 = sK30
| n4 = sK30
| n17 = sK30
| n23 = sK30
| n3 = sK30
| n25 = sK30
| n1 = sK30
| n9 = sK30
| n5 = sK30
| n6 = sK30
| n2 = sK30
| n0 = sK30
| n11 = sK30
| n8 = sK30
| n13 = sK30
| n10 = sK30
| n22 = sK30
| n7 = sK30
| n24 = sK30
| n15 = sK30
| n12 = sK30
| n16 = sK30 )
& n4 != n15
& n24 = sum(n5,n19)
& n20 = sum(n12,n8)
& n13 = sum(n2,n11)
& n7 != n23
& n0 != n2
& n4 != n18
& sK8 = sum(sum(pred(sK17),succ(sK6)),sum(pred(sK6),succ(sK17)))
& n17 = sum(n16,n1)
& n2 = sum(n3,n25)
& n8 != n9
& n10 != n17
& n20 = sum(n25,n21)
& n19 = sum(n20,n25)
& n5 != n15
& n9 = sum(n23,n12)
& n22 = sum(n4,n18)
& n16 = sum(n15,n1)
& n24 = sum(n24,n0)
& n8 = sum(n4,n4)
& n3 != n12
& n1 != n25
& n5 = sum(n21,n10)
& n11 = sum(n2,n9)
& n17 = sum(n25,n18)
& n3 = sum(n3,n0)
& n13 = sum(n3,n10)
& n12 = sum(n6,n6)
& n20 != n25
& n11 = sum(n23,n14)
& n8 != n20
& n11 = sum(n18,n19)
& n23 = sum(n20,n3)
& n7 = sum(n13,n20)
& n14 = sum(n21,n19)
& n4 = sum(n25,n5)
& n1 = sum(n9,n18)
& n2 = sum(n1,n1)
& n18 = sum(n21,n23)
& n10 = sum(n3,n7)
& n9 != n23
& n4 = sum(n1,n3)
& sum(sum(pred(sK8),succ(sK47)),sum(pred(sK47),succ(sK8))) = sK27
& n23 = sum(n23,n0)
& succ(n2) = n3
& n16 = sum(n10,n6)
& n9 != n11
& n0 = sum(n7,n19)
& n23 = sum(n16,n7)
& n2 = sum(n8,n20)
& n23 = sum(n18,n5)
& n24 = sum(n16,n8)
& n15 = sum(n16,n25)
& n24 = sum(n3,n21)
& n12 = sum(n17,n21)
& n3 != n7
& n16 = sum(n1,n15)
& n15 != n25
& succ(n15) = n16
& n9 = sum(n14,n21)
& n2 = sum(n23,n5)
& n8 = sum(n25,n9)
& n8 != n17
& n17 = sum(n6,n11)
& n12 = sum(n2,n10)
& n4 = sum(n8,n22)
& n13 = sum(n10,n3)
& n11 != n21
& n19 = sum(n17,n2)
& n10 = sum(n12,n24)
& n20 = sum(n1,n19)
& n11 != n12
& n19 != n25
& n21 = sum(n18,n3)
& n21 != n25
& succ(n7) = n8
& n9 = sum(n19,n16)
& n19 != n20
& n24 = sum(n2,n22)
& n25 = sum(n16,n9)
& n2 = sum(n13,n15)
& n17 = sum(n2,n15)
& n8 = sum(n7,n1)
& n4 = sum(n15,n15)
& n7 != n8
& n5 != n21
& sum(sum(pred(sK40),succ(sK40)),sum(pred(sK5),succ(sK5))) = sK32
& n4 = sum(n0,n4)
& n1 != n24
& n8 != n11
& n18 != n20
& n5 = sum(n17,n14)
& n24 = sum(n10,n14)
& n19 = sum(n1,n18)
& n23 = sum(n1,n22)
& sK11 = sum(sum(pred(sK15),succ(sK15)),sum(pred(sK9),succ(sK9)))
& n5 = sum(n18,n13)
& n25 = sum(n21,n4)
& n2 = sum(n17,n11)
& sK49 = sum(sum(pred(sK36),succ(sK36)),sum(pred(sK32),succ(sK32)))
& n23 != n24
& n8 != n14
& n23 = sum(n17,n6)
& n12 = sum(n20,n18)
& n4 = pred(n5)
& n13 != n25
& n12 != n25
& n15 = sum(n0,n15)
& n13 = sum(n1,n12)
& n17 = sum(n24,n19)
& n6 = pred(n7)
& n19 = sum(n13,n6)
& sum(sum(pred(sK4),succ(sK43)),sum(pred(sK43),succ(sK4))) = sK25
& n14 != n16
& n2 = sum(n15,n13)
& n10 = sum(n14,n22)
& n6 != n23
& n4 = sum(n6,n24)
& succ(n22) = n23
& n5 = sum(n4,n1)
& n10 = sum(n2,n8)
& sK47 = sum(sum(pred(sK17),succ(sK17)),sum(pred(sK6),succ(sK6)))
& n14 = sum(n6,n8)
& n21 = sum(n19,n2)
& n16 = pred(n17)
& n7 = sum(n5,n2)
& n2 = sum(n9,n19)
& n14 = sum(n16,n24)
& sum(sum(pred(sK42),succ(sK14)),sum(pred(sK14),succ(sK42))) = sK38
& n4 != n13
& n9 != n14
& n6 = sum(n16,n16)
& n7 != n11
& n14 = sum(n3,n11)
& n3 = sum(n12,n17)
& n6 != n16
& n9 = sum(n0,n9)
& sum(sum(pred(sK36),succ(sK32)),sum(pred(sK32),succ(sK36))) = sK41
& sum(sum(pred(sK25),succ(sK16)),sum(pred(sK16),succ(sK25))) = sK21
& n11 = sum(n25,n12)
& n13 = sum(n25,n14)
& n3 != n10
& n10 = sum(n5,n5)
& n1 = sum(n15,n12)
& n2 = sum(n2,n0)
& n7 = sum(n17,n16)
& sum(sum(pred(sK8),succ(sK8)),sum(pred(sK47),succ(sK47))) = sK51
& sum(sum(pred(sK23),succ(sK23)),sum(pred(sK48),succ(sK48))) = sK5
& n0 = sum(n5,n21)
& n21 = sum(n25,n22)
& n3 = sum(n16,n13)
& n4 != n10
& n1 = sum(n2,n25)
& n25 = sum(n14,n11)
& n13 = sum(n0,n13)
& n12 = sum(n9,n3)
& n6 != n13
& n16 != n19
& n16 != n24
& n11 != n18
& n17 != n21
& n6 != n12
& n11 = sum(n19,n18)
& n10 = sum(n13,n23)
& n4 != n5
& n22 != n23
& n22 = sum(n18,n4)
& n5 != n16
& n18 = sum(n25,n19)
& n6 = sum(n20,n12)
& n1 != n20
& n3 != n15
& n22 = sum(n17,n5)
& n2 != n4
& n17 != n23
& n9 != n18
& n4 != n16
& n9 = sum(n6,n3)
& n18 != n24
& n24 = sum(n13,n11)
& n11 = pred(n12)
& n12 != n21
& n24 = sum(n6,n18)
& n7 = sum(n9,n24)
& n3 = sum(n14,n15)
& sum(sum(pred(sK38),succ(sK20)),sum(pred(sK20),succ(sK38))) = sK23
& n2 = sum(n10,n18)
& sK45 = sum(sum(pred(sK39),succ(sK11)),sum(pred(sK11),succ(sK39)))
& n7 = sum(n22,n11)
& n17 = pred(n18)
& n4 = sum(n17,n13)
& n0 != n11
& n2 = sum(n5,n23)
& n14 != n21
& n25 = sum(n7,n18)
& n0 != n22
& n24 = sum(n11,n13)
& sK39 = sum(sum(pred(sK15),succ(sK9)),sum(pred(sK9),succ(sK15)))
& sK1 = sum(sum(pred(sK25),succ(sK25)),sum(pred(sK16),succ(sK16)))
& n9 = sum(n12,n23)
& n4 = sum(n2,n2)
& n15 = sum(n23,n18)
& n15 = sum(n21,n20)
& n22 = sum(n12,n10)
& n17 = sum(n10,n7)
& n0 = sum(n23,n3)
& n5 = sum(n5,n0)
& n21 = sum(n10,n11)
& n22 = sum(n6,n16)
& n7 != n19
& sK22 = sum(sum(pred(sK13),succ(sK13)),sum(pred(sK24),succ(sK24)))
& n0 != n6
& n19 = sum(n18,n1)
& n8 = sum(n14,n20)
& n21 = sum(n8,n13)
& sum(sum(pred(sK13),succ(sK24)),sum(pred(sK24),succ(sK13))) = sK31
& n15 != n23
& n6 = sum(n1,n5)
& n24 = sum(n7,n17)
& n10 != n13
& n15 != n19
& n15 = sum(n25,n16)
& n7 = sum(n15,n18)
& n24 = sum(n23,n1)
& n6 != n19
& n12 = sum(n1,n11)
& n13 = sum(n6,n7)
& n5 = sum(n24,n7)
& n5 = sum(n1,n4)
& n7 != n15
& n21 = sum(n12,n9)
& n25 = sum(n22,n3)
& n22 = sum(n20,n2)
& n9 != n10
& n14 = sum(n1,n13)
& n7 != n21
& n14 = sum(n24,n16)
& n22 = sum(n7,n15)
& n16 = sum(n17,n25)
& n20 = sum(n0,n20)
& n4 != n21
& n1 = sum(n23,n4)
& n19 = sum(n4,n15)
& n4 != n12
& n6 != n22
& n23 = sum(n12,n11)
& succ(n11) = n12
& n1 != n19
& n13 != n21
& n13 = sum(n12,n1)
& n7 = sum(n4,n3)
& n8 = sum(n10,n24)
& n8 = sum(n2,n6)
& n4 = sum(n13,n17)
& n11 = sum(n12,n25)
& n10 != n23
& n3 != n5
& n18 = sum(n19,n25)
& n17 = sum(n5,n12)
& n2 != n22
& n17 = sum(n0,n17)
& n2 != n18
& n5 = sum(n9,n22)
& n10 != n25
& n6 = sum(n12,n20)
& n16 = sum(n9,n7)
& n25 = sum(n9,n16)
& n17 = sum(n12,n5)
& n15 != n18
& n14 = sum(n22,n18)
& n1 != n17
& n4 != n23
& n6 = sum(n0,n6)
& n0 = sum(n11,n15)
& n12 = sum(n14,n24)
& n10 = sum(n20,n16)
& n0 != n23
& n3 = sum(n15,n14)
& n7 != n10
& n9 != n13
& n23 = sum(n3,n20)
& n4 != n22
& n22 = sum(n8,n14)
& n20 = sum(n14,n6)
& n0 != n20
& n24 = sum(n1,n23)
& n8 = sum(n5,n3)
& n0 = sum(n19,n7)
& n4 = sum(n10,n20)
& n0 != n9
& n16 != n23
& n1 != n8
& n10 = sum(n6,n4)
& sK15 = sum(sum(pred(sK31),succ(sK22)),sum(pred(sK22),succ(sK31)))
& n2 != n10
& n1 = sum(n25,n2)
& n25 = sum(n8,n17)
& n16 != n17
& n18 = sum(n2,n16)
& n13 != n18
& n15 != n22
& n10 != n22
& n17 = sum(n15,n2)
& n5 = sum(n19,n12)
& n23 = sum(n9,n14)
& n13 = sum(n4,n9)
& n3 != n9
& n1 != n6
& n4 != n25
& n10 = sum(n8,n2)
& n8 = sum(n11,n23)
& n15 = sum(n3,n12)
& n3 != n21
& n12 != n18
& n12 = sum(n12,n0)
& n7 != n17
& n14 = sum(n10,n4)
& n5 = sum(n3,n2)
& n6 != n24
& n5 = sum(n15,n16)
& n1 != n11
& n17 = sum(n18,n25)
& n8 = sum(n19,n15)
& succ(n18) = n19
& n21 = sum(n17,n4)
& sK48 = sum(sum(pred(sK38),succ(sK38)),sum(pred(sK20),succ(sK20)))
& n13 = sum(n23,n16)
& n8 != n15
& sum(sum(pred(sK27),succ(sK27)),sum(pred(sK51),succ(sK51))) = sK0
& n1 != n14
& n1 != n16
& n1 = sum(n1,n0)
& n17 = sum(n22,n21)
& n11 = sum(n13,n24)
& n15 = sum(n15,n0)
& n9 = sum(n3,n6)
& n2 != n19
& n9 = sum(n5,n4)
& n16 != n18
& n4 = sum(n14,n16)
& n24 = sum(n15,n9)
& n13 != n19
& n1 = sum(n24,n3)
& n16 != n20
& n21 = sum(n11,n10)
& n6 = sum(n13,n19)
& n14 = sum(n14,n0)
& n1 = sum(n3,n24)
& n13 = sum(n15,n24)
& n12 = sum(n3,n9)
& n0 != n15
& n9 = sum(n25,n10)
& n15 != n16
& n6 = sum(n15,n17)
& n11 = sum(n8,n3)
& n23 = sum(n7,n16)
& n9 = sum(n22,n13)
& n18 = sum(n1,n17)
& n4 = sum(n3,n1)
& n0 = sum(n9,n17)
& n18 = sum(n22,n22)
& n22 = sum(n10,n12)
& n10 != n15
& n23 = sum(n5,n18)
& n3 = sum(n5,n24)
& n6 != n11
& n24 = sum(n12,n12)
& n7 = sum(n8,n25)
& succ(n0) = n1
& n3 != n4
& n10 = sum(n11,n25)
& sK43 = sum(sum(pred(sK34),succ(sK34)),sum(pred(sK7),succ(sK7)))
& n18 = sum(n17,n1)
& n20 = sum(n10,n10)
& n18 = sum(n14,n4)
& n3 = sum(n22,n7)
& n12 != n19
& n22 = sum(n1,n21)
& n13 != n15
& n12 = sum(n11,n1)
& n5 = sum(n6,n25)
& n1 = sum(n21,n6)
& n5 = sum(n25,n6)
& n21 = sum(n0,n21)
& n12 != n17
& n14 = sum(n2,n12)
& n0 != n3
& n20 = sum(n3,n17)
& n5 != n11
& n20 = sum(n11,n9)
& n7 = pred(n8)
& n18 != n19
& n4 != n9
& n4 = sum(n7,n23)
& n0 = sum(n4,n22)
& n9 != n19
& n20 = sum(n21,n25)
& n20 = sum(n6,n14)
& n6 != n20
& n2 != n15
& succ(n21) = n22
& n14 = sum(n17,n23)
& n5 = sum(n2,n3)
& n10 != n16
& n8 != n21
& n12 != n15
& n20 = sum(n17,n3)
& n11 = sum(n20,n17)
& n20 != n21
& n16 = sum(n21,n21)
& n19 = sum(n10,n9)
& n2 != n23
& n15 = sum(n18,n23)
& n11 = sum(n1,n10)
& n19 = sum(n14,n5)
& succ(n13) = n14
& n25 = sum(n25,n0)
& n14 = sum(n19,n21)
& n9 != n17
& n18 = sum(n3,n15)
& n11 != n22
& n3 = sum(n19,n10)
& n18 != n23
& n5 != n20
& n7 = sum(n6,n1)
& n19 = sum(n6,n13)
& n25 = sum(n4,n21)
& n15 = sum(n1,n14)
& succ(n19) = n20
& n25 = sum(n24,n1)
& n5 = pred(n6)
& n12 = sum(n13,n25)
& n10 != n11
& n17 = sum(n3,n14)
& n17 = sum(n20,n23)
& n21 = sum(n9,n12)
& sum(sum(pred(sK30),succ(sK30)),sum(pred(sK10),succ(sK10))) = sK14
& n1 = sum(n17,n10)
& n20 = sum(n7,n13)
& n13 = sum(n16,n23)
& succ(n23) = n24
& n1 = sum(n18,n9)
& n7 != n9
& n15 != n20
& n8 = sum(n8,n0)
& n6 != n7
& n6 = sum(n22,n10)
& n25 = sum(n1,n24)
& n8 = sum(n22,n12)
& n3 != n19
& n9 = sum(n7,n2)
& n24 = sum(n0,n24)
& n8 != n13
& n11 = sum(n24,n13)
& succ(n5) = n6
& n11 != n23
& n16 != n25
& n8 = sum(n9,n25)
& n22 != n24
& n8 = sum(n1,n7)
& n2 != n11
& n16 = sum(n13,n3)
& n10 = sum(n21,n15)
& n10 = sum(n17,n19)
& n0 = sum(n0,n0)
& n6 = sum(n24,n8)
& n11 = sum(n14,n23)
& n19 != n24
& n21 = sum(n13,n8)
& n7 = sum(n21,n12)
& n7 != n16
& n17 != n22
& sK2 = sum(sum(pred(sK21),succ(sK21)),sum(pred(sK1),succ(sK1)))
& n1 = sum(n6,n21)
& succ(n24) = n25
& n5 = sum(n13,n18)
& n2 = sum(n12,n16)
& n19 != n23
& n3 = sum(n1,n2)
& n6 = sum(n8,n24)
& n18 != n21
& n21 = sum(n23,n24)
& n19 = sum(n12,n7)
& n3 = sum(n0,n3)
& n3 = sum(n23,n6)
& n14 = sum(n11,n3)
& n25 = pred(n0)
& n22 = sum(n22,n0)
& n25 = sum(n12,n13)
& n25 = sum(n15,n10)
& n3 != n23
& n18 = sum(n11,n7)
& n18 = sum(n10,n8)
& n9 = sum(n10,n25)
& n0 = sum(n18,n8)
& n7 != n25
& n15 = sum(n22,n19)
& n14 = sum(n25,n15)
& n14 = sum(n12,n2)
& n5 != n23
& n13 != n20
& n25 = sum(n23,n2)
& n4 = sum(n9,n21)
& n4 != n11
& n0 != n13
& n19 = sum(n15,n4)
& n6 = sum(n7,n25)
& n22 = sum(n21,n1)
& n24 = sum(n18,n6)
& n0 = sum(n17,n9)
& n7 != n24
& n4 = sum(n4,n0)
& n1 = sum(n14,n13)
& n5 = sum(n23,n8)
& n15 != n17
& n24 = sum(n21,n3)
& n12 = sum(n5,n7)
& n25 = sum(n20,n5)
& n10 != n24
& n13 = sum(n17,n22)
& n2 != n16
& n8 = sum(n23,n11)
& n4 = sum(n19,n11)
& n0 = sum(n10,n16)
& n17 != n18
& n5 = sum(n7,n24)
& sK20 = sum(sum(pred(sK42),succ(sK42)),sum(pred(sK14),succ(sK14)))
& n11 = sum(n3,n8)
& n7 != n14
& n1 = sum(n22,n5)
& n18 = sum(n23,n21)
& n17 = sum(n23,n20)
& n13 != n24
& n19 = sum(n5,n14)
& n7 = sum(n24,n9)
& n6 = sum(n18,n14)
& n22 = sum(n15,n7)
& n10 != n14
& n6 != n14
& n17 = sum(n19,n24)
& n3 != n14
& n3 != n13
& n1 = sum(n8,n19)
& n19 = sum(n21,n24)
& n17 = sum(n4,n13)
& n14 = sum(n0,n14)
& n21 != n22
& n7 != n22
& n0 = sum(n20,n6)
& n2 = sum(n0,n2)
& n8 != n19
& n16 != n21
& n20 = sum(n8,n12)
& n5 = sum(n8,n23)
& n22 = sum(n16,n6)
& n11 != n24
& n16 != n22
& n15 = sum(n5,n10)
& n5 != n12
& n0 = pred(n1)
& n1 != n7
& n4 != n14
& n18 = sum(n12,n6)
& n18 = sum(n5,n13)
& n7 != n20
& n24 = sum(n17,n7)
& n8 = sum(n15,n19)
& n2 != n21
& n16 = sum(n0,n16)
& n14 != n23
& n2 = sum(n24,n4)
& sK9 = sum(sum(pred(sK31),succ(sK31)),sum(pred(sK22),succ(sK22)))
& n9 != n21
& succ(n17) = n18
& ( sK42 != sK14
| sK37 != sK26
| sK9 != sK15
| sK24 != sK13
| sK48 != sK23
| sK41 != sK49
| sK22 != sK31
| sK8 != sK47
| sK28 != sK50
| sK19 != sK29
| sK25 != sK16
| sK18 != sK2
| sK0 != sK46
| sK1 != sK21
| sK45 != sK35
| sK17 != sK6
| sK32 != sK36
| sK44 != sK33
| sK4 != sK43
| sK11 != sK39
| sK40 != sK5
| sK51 != sK27
| sK20 != sK38
| sK34 != sK7
| sK3 != sK12 )
& n4 != n7
& n8 = sum(n0,n8)
& n3 != n25
& n8 = sum(n21,n13)
& n2 != n20
& succ(n16) = n17
& n8 = sum(n6,n2)
& sK33 = sum(sum(pred(sK12),succ(sK12)),sum(pred(sK3),succ(sK3)))
& sum(sum(pred(sK12),succ(sK3)),sum(pred(sK3),succ(sK12))) = sK44
& n9 = sum(n11,n24)
& n2 != n6
& n21 = sum(n16,n5)
& n6 = sum(n2,n4)
& n22 = sum(n23,n25)
& n23 = sum(n15,n8)
& n15 = sum(n19,n22)
& n3 = sum(n20,n9)
& n10 != n12
& n21 = pred(n22)
& n2 != n25
& n6 != n18
& succ(n9) = n10
& n16 = sum(n2,n14)
& n12 = sum(n23,n15)
& n16 = sum(n22,n20)
& n19 = sum(n0,n19)
& n19 = sum(n7,n12)
& n14 != n20
& n12 != n24
& n18 = sum(n24,n20)
& n6 = sum(n5,n1)
& n10 = sum(n19,n17)
& n17 = sum(n21,n22)
& n8 != n16
& n15 = sum(n12,n3)
& n7 = sum(n18,n15)
& n24 = sum(n19,n5)
& n23 = sum(n21,n2)
& n12 = sum(n24,n14)
& succ(n3) = n4
& n1 != n22
& n4 = sum(n22,n8)
& n7 = sum(n1,n6)
& n20 = sum(n24,n22)
& n0 != n1
& n2 != n24
& succ(n4) = n5
& n11 != n17
& n17 = sum(n13,n4)
& n9 = pred(n10)
& n22 = sum(n9,n13)
& n21 = sum(n2,n19)
& n6 = sum(n6,n0)
& n16 = sum(n20,n22)
& sK17 = sum(sum(pred(sK18),succ(sK2)),sum(pred(sK2),succ(sK18)))
& n18 = sum(n9,n9)
& n19 = sum(n9,n10)
& n9 = sum(n16,n19)
& n7 = sum(n19,n14)
& n0 != n25
& n0 != n17
& n5 = sum(n14,n17)
& n10 = sum(n23,n13)
& n0 = sum(n3,n23)
& n24 = pred(n25)
& n3 = sum(n2,n1)
& n22 = sum(n24,n24)
& n18 = sum(n8,n10)
& n2 != n13
& sK34 = sum(sum(pred(sK41),succ(sK49)),sum(pred(sK49),succ(sK41)))
& n3 != n11
& sum(sum(pred(sK19),succ(sK29)),sum(pred(sK29),succ(sK19))) = sK12
& n9 = sum(n15,n20)
& n16 = sum(n4,n12)
& n16 = sum(n3,n13)
& n4 = sum(n24,n6)
& n0 != n18
& n6 = sum(n4,n2)
& n5 != n18
& n9 = sum(n21,n14)
& n5 != n7
& n15 = sum(n24,n17)
& n9 = sum(n8,n1)
& succ(n20) = n21
& n16 = sum(n24,n18)
& n19 = sum(n24,n21)
& n10 = sum(n0,n10)
& n15 = sum(n9,n6)
& n9 = sum(n24,n11)
& n20 = sum(n15,n5)
& n12 = sum(n8,n4)
& n12 = sum(n22,n16)
& n6 = sum(n21,n11)
& n4 = sum(n11,n19)
& n7 = sum(n23,n10)
& n12 = sum(n15,n23)
& n0 = sum(n12,n14)
& n17 = sum(n11,n6)
& n21 = sum(n20,n1)
& n12 = sum(n18,n20)
& n14 != n19
& n2 != n12
& n24 = sum(n14,n10)
& n0 != n12
& n12 != n23
& n19 != n21
& n21 = sum(n22,n25)
& n1 != n18
& n1 = pred(n2)
& n16 = sum(n14,n2)
& sK28 = sum(sum(pred(sK46),succ(sK46)),sum(pred(sK0),succ(sK0)))
& n10 != n21
& n21 = sum(n7,n14)
& n0 = sum(n13,n13)
& n4 = sum(n21,n9)
& n15 != n21
& n0 != n7
& n24 = sum(n8,n16)
& n2 = sum(n21,n7)
& n16 = sum(n19,n23)
& sK4 = sum(sum(pred(sK34),succ(sK7)),sum(pred(sK7),succ(sK34)))
& n2 = sum(n7,n21)
& sum(sum(pred(sK18),succ(sK18)),sum(pred(sK2),succ(sK2))) = sK6
& n14 != n18
& n21 = sum(n21,n0)
& n0 != n21
& n23 = sum(n10,n13)
& n11 = sum(n10,n1)
& n14 = sum(n5,n9)
& n1 = sum(n19,n8)
& n3 = sum(n17,n12)
& n6 != n15
& n12 = sum(n16,n22)
& n19 != n22
& sum(sum(pred(sK41),succ(sK41)),sum(pred(sK49),succ(sK49))) = sK7
& n6 != n25
& n15 = sum(n20,n21)
& n15 = pred(n16)
& n2 = sum(n22,n6)
& n19 = sum(n25,n20)
& n4 != n8
& n4 = sum(n23,n7)
& n14 != n15
& n17 = sum(n17,n0)
& n6 = sum(n3,n3)
& n20 = sum(n9,n11)
& n11 = sum(n22,n15)
& n4 != n20
& succ(n10) = n11
& n4 != n24
& n18 = sum(n6,n12)
& n0 = sum(n1,n25)
& n0 != n4
& n12 != n22
& n11 = sum(n21,n16)
& n14 != n17
& n11 = sum(n0,n11)
& n2 = sum(n20,n8)
& n18 = sum(n13,n5)
& n8 = sum(n13,n21)
& n14 = sum(n20,n20)
& n3 != n24
& n12 = sum(n0,n12)
& n7 = sum(n10,n23)
& n23 = sum(n13,n10)
& n12 = pred(n13)
& n19 = sum(n19,n0)
& n23 = sum(n25,n24)
& n5 = sum(n12,n19)
& n15 = sum(n10,n5)
& n11 = sum(n17,n20)
& n20 = sum(n18,n2)
& n11 = sum(n6,n5)
& n1 != n21
& n12 = sum(n25,n13)
& n13 = sum(n24,n15)
& n8 = sum(n3,n5)
& n2 = sum(n16,n12)
& n20 != n23
& n11 = sum(n5,n6)
& n22 = sum(n3,n19)
& n13 = sum(n14,n25)
& n11 = sum(n11,n0)
& n9 = sum(n17,n18)
& n9 = sum(n4,n5)
& n17 != n25
& n14 = sum(n9,n5)
& n22 = sum(n11,n11)
& n0 != n16
& n9 = sum(n9,n0)
& sK42 = sum(sum(pred(sK30),succ(sK10)),sum(pred(sK10),succ(sK30)))
& n20 != n22
& n1 != n3
& n7 = sum(n14,n19)
& n15 = sum(n11,n4)
& n23 = sum(n2,n21)
& n6 != n17
& n0 = sum(n8,n18)
& n0 != n10
& n24 = sum(n9,n15)
& n6 != n9
& n16 = sum(n23,n19)
& n11 = sum(n7,n4)
& n19 = sum(n11,n8)
& n0 != n14
& n1 != n4
& n9 != n25
& n0 = succ(n25)
& n25 = sum(n2,n23)
& n0 = sum(n15,n11)
& n22 = sum(n0,n22)
& n13 = sum(n11,n2)
& n4 = sum(n12,n18)
& n18 = sum(n0,n18)
& n4 = sum(n18,n12)
& n20 = pred(n21)
& n17 = sum(n1,n16)
& succ(n12) = n13
& n12 = sum(n19,n19)
& n12 != n13
& n3 != n18
& n6 = sum(n25,n7)
& n21 = sum(n24,n23)
& n8 = pred(n9)
& n13 = sum(n8,n5)
& n2 = sum(n4,n24)
& n13 = sum(n19,n20)
& n5 != n19
& n3 != n17
& n5 != n8
& sum(sum(pred(sK50),succ(sK28)),sum(pred(sK28),succ(sK50))) = sK13
& n7 = sum(n20,n13)
& n10 = sum(n16,n20)
& n18 = sum(n7,n11)
& n0 != n8
& n20 != n24
& n21 = sum(n5,n16)
& n20 = sum(n22,n24)
& n22 = sum(n13,n9)
& n13 = pred(n14)
& n5 = sum(n16,n15)
& n1 = sum(n20,n7)
& n23 = sum(n6,n17)
& n7 = sum(n7,n0)
& n4 = sum(n5,n25)
& n3 = sum(n6,n23)
& n21 = sum(n14,n7)
& n1 = sum(n10,n17)
& n2 = sum(n6,n22)
& sum(sum(pred(sK27),succ(sK51)),sum(pred(sK51),succ(sK27))) = sK46
& n1 = sum(n5,n22)
& n14 = sum(n18,n22)
& n5 != n6
& n21 = sum(n1,n20)
& sum(sum(pred(sK39),succ(sK39)),sum(pred(sK11),succ(sK11))) = sK35
& n11 != n15
& n0 = sum(n16,n10)
& n22 = sum(n25,n23)
& n14 != n22
& n2 = sum(n19,n9)
& n15 = sum(n13,n2)
& n17 != n24
& n7 = sum(n3,n4)
& n8 != n10
& n6 != n10
& n25 = sum(n3,n22)
& n14 != n24
& n9 = sum(n18,n17)
& n25 = sum(n6,n19)
& n15 = sum(n14,n1)
& n14 = sum(n23,n17)
& n11 != n13
& n11 = sum(n4,n7)
& n21 = sum(n4,n17)
& n2 != n17
& n14 = sum(n15,n25)
& n25 = sum(n11,n14)
& n2 = sum(n11,n17)
& sK24 = sum(sum(pred(sK50),succ(sK50)),sum(pred(sK28),succ(sK28)))
& n13 != n22
& n6 = sum(n17,n15)
& n6 = sum(n11,n21)
& n18 = pred(n19)
& n12 = sum(n21,n17)
& n8 = sum(n18,n16)
& n16 = sum(n11,n5)
& n1 = sum(n7,n20)
& n15 = sum(n8,n7)
& n1 != n5
& sum(sum(pred(sK40),succ(sK5)),sum(pred(sK5),succ(sK40))) = sK36
& n12 != n20
& n17 = sum(n7,n10)
& ( n13 = sK10
| n5 = sK10
| n9 = sK10
| n15 = sK10
| n12 = sK10
| n8 = sK10
| n7 = sK10
| n19 = sK10
| n24 = sK10
| n0 = sK10
| n14 = sK10
| n20 = sK10
| n11 = sK10
| n18 = sK10
| n6 = sK10
| n10 = sK10
| n21 = sK10
| n25 = sK10
| n2 = sK10
| n23 = sK10
| n17 = sK10
| n16 = sK10
| n3 = sK10
| n1 = sK10
| n22 = sK10
| n4 = sK10 )
& n22 = pred(n23)
& n6 = sum(n19,n13)
& n4 != n17
& n14 = pred(n15)
& n3 != n22
& n13 = sum(n20,n19)
& n23 = sum(n19,n4)
& n3 = sum(n7,n22)
& n1 != n23
& n13 != n17
& n8 = sum(n12,n22)
& n7 = sum(n25,n8)
& n9 != n16
& n9 != n20
& n16 = sum(n8,n8)
& n3 = sum(n8,n21)
& n5 = sum(n22,n9)
& n13 = sum(n18,n21)
& n13 != n23
& n22 = sum(n19,n3)
& n3 != n8
& n9 != n24
& n18 != n25
& n2 = pred(n3)
& n5 != n25
& n7 = sum(n0,n7)
& n6 != n8
& n1 != n10
& sum(sum(pred(sK44),succ(sK44)),sum(pred(sK33),succ(sK33))) = sK37
& n22 = sum(n14,n8)
& n15 != n24
& n20 = sum(n19,n1)
& n16 = sum(n6,n10)
& n18 = sum(n15,n3)
& n16 = sum(n25,n17)
& n2 = sum(n14,n14)
& n1 = sum(n12,n15)
& n6 = sum(n23,n9)
& n10 = sum(n4,n6)
& n14 = sum(n4,n10)
& n25 = sum(n18,n7)
& n24 != n25
& n0 != n19
& n20 = sum(n4,n16)
& n9 != n12
& n21 = sum(n3,n18)
& n11 = sum(n16,n21)
& n13 = sum(n13,n0)
& n19 = sum(n2,n17)
& sK16 = sum(sum(pred(sK4),succ(sK4)),sum(pred(sK43),succ(sK43)))
& n14 = sum(n8,n6)
& n10 != n18
& n17 != n20
& n3 = sum(n9,n20)
& n25 = sum(n13,n12)
& n16 = sum(n12,n4)
& n20 = sum(n23,n23)
& n21 = sum(n15,n6)
& n17 = sum(n14,n3)
& n24 = sum(n4,n20)
& n19 = sum(n22,n23)
& n4 = sum(n16,n14)
& n24 = sum(n25,n25)
& n3 != n6
& n12 = sum(n10,n2)
& sK18 = sum(sum(pred(sK21),succ(sK1)),sum(pred(sK1),succ(sK21)))
& n7 = sum(n11,n22)
& n11 = sum(n9,n2)
& n2 != n14
& n15 = sum(n6,n9)
& n1 != n9
& succ(n14) = n15
& n23 != n25
& n1 != n2
& n5 = sum(n11,n20)
& n12 = sum(n4,n8)
& n13 = sum(n9,n4)
& n16 = sum(n7,n9)
& n0 = sum(n6,n20)
& n2 = sum(n18,n10)
& n9 = sum(n2,n7)
& n3 = sum(n11,n18)
& n4 != n19
& n3 = pred(n4)
& n1 != n12
& n3 = sum(n25,n4)
& n3 = sum(n4,n25)
& n11 != n16
& n9 != n15
& n17 = sum(n8,n9)
& n1 = sum(n16,n11)
& n2 != n3
& n19 = pred(n20)
& sum(sum(pred(sK19),succ(sK19)),sum(pred(sK29),succ(sK29))) = sK3
& sum(sum(pred(sK45),succ(sK45)),sum(pred(sK35),succ(sK35))) = sK29
& n9 = sum(n13,n22)
& n1 = sum(n0,n1)
& n1 != n15
& n3 != n20
& n5 = sum(n0,n5)
& n10 != n19
& n18 = sum(n4,n14)
& n10 = sum(n9,n1)
& n13 = sum(n7,n6)
& n20 = sum(n20,n0)
& n19 = sum(n23,n22)
& n7 = sum(n16,n17)
& n5 != n24
& n17 = sum(n9,n8)
& succ(n1) = n2
& n5 != n9
& n7 = sum(n12,n21)
& n19 = sum(n3,n16)
& n23 = sum(n8,n15)
& n18 = sum(n16,n2)
& n8 != n25
& n1 = sum(n13,n14)
& n0 = sum(n2,n24)
& n3 != n16
& n10 = sum(n18,n18)
& n0 != n24 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK18,sK19,sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31,sK32,sK33,sK34,sK35,sK36,sK37,sK38,sK39,sK40,sK41,sK42,sK43,sK44,sK45,sK46,sK47,sK48,sK49,sK50,sK51])],[f3,f4]) ).
fof(f4,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51] :
( sum(sum(pred(X23),succ(X48)),sum(pred(X48),succ(X23))) = X40
& n7 = sum(n2,n5)
& n10 = pred(n11)
& n14 = sum(n7,n7)
& n8 != n24
& n18 = sum(n18,n0)
& n0 = sum(n14,n12)
& n11 != n25
& n2 = sum(n25,n3)
& n20 = sum(n16,n4)
& n6 = sum(n9,n23)
& n10 = sum(n7,n3)
& n7 != n13
& n23 = sum(n24,n25)
& n4 = sum(n20,n10)
& n5 = sum(n10,n21)
& n9 != n22
& n8 != n12
& n7 != n12
& n2 != n7
& n10 = sum(n10,n0)
& n11 != n19
& n8 = sum(n17,n17)
& n23 = sum(n11,n12)
& n3 = sum(n13,n16)
& n25 = sum(n0,n25)
& n15 = sum(n4,n11)
& n11 = sum(n15,n22)
& n23 = pred(n24)
& n2 != n5
& n22 = sum(n2,n20)
& n23 = sum(n22,n1)
& n21 != n24
& n5 != n13
& n13 != n16
& n2 != n8
& n10 = sum(n22,n14)
& n23 = sum(n14,n9)
& n9 = sum(n20,n15)
& n4 != n6
& n12 = sum(n7,n5)
& n11 != n14
& n24 = sum(n20,n4)
& n6 = sum(n14,n18)
& n25 = sum(n19,n6)
& n0 != n5
& n8 = sum(n24,n10)
& n15 = sum(n7,n8)
& n5 != n10
& n13 != n14
& n8 != n22
& n22 != n25
& n18 = sum(n20,n24)
& n6 != n21
& sum(sum(pred(X44),succ(X33)),sum(pred(X33),succ(X44))) = X26
& n7 != n18
& n0 = sum(n25,n1)
& n8 != n18
& n1 != n13
& n3 = sum(n21,n8)
& succ(n6) = n7
& n19 = sum(n16,n3)
& n0 = sum(n24,n2)
& n20 = sum(n13,n7)
& n21 = sum(n6,n15)
& n25 = sum(n17,n8)
& n9 = sum(n1,n8)
& n19 = sum(n8,n11)
& n17 != n19
& n23 = sum(n0,n23)
& sum(sum(pred(X45),succ(X35)),sum(pred(X35),succ(X45))) = X19
& n15 = sum(n17,n24)
& n0 = sum(n21,n5)
& n1 = sum(n11,n16)
& n1 = sum(n4,n23)
& n8 != n23
& n10 = sum(n24,n12)
& n25 = sum(n5,n20)
& n5 = sum(n20,n11)
& n14 = sum(n13,n1)
& n12 != n16
& n6 = sum(n10,n22)
& n25 = sum(n10,n15)
& n8 = sum(n20,n14)
& n13 = sum(n21,n18)
& n22 = sum(n5,n17)
& n5 != n22
& n12 != n14
& n20 = sum(n5,n15)
& n14 != n25
& n0 = sum(n22,n4)
& n13 = sum(n5,n8)
& n10 != n20
& n2 != n9
& n11 != n20
& n10 = sum(n25,n11)
& n16 = sum(n18,n24)
& sum(sum(pred(X46),succ(X0)),sum(pred(X0),succ(X46))) = X50
& n21 != n23
& n16 = sum(n5,n11)
& n24 = sum(n22,n2)
& n3 = sum(n10,n19)
& n3 = sum(n18,n11)
& n10 = sum(n1,n9)
& n16 = sum(n16,n0)
& n20 = sum(n2,n18)
& n5 != n17
& n5 != n14
& n18 != n22
& n15 = sum(n2,n13)
& n13 = sum(n22,n17)
& n10 = sum(n15,n21)
& n3 = sum(n24,n5)
& n23 = sum(n4,n19)
& succ(n8) = n9
& n8 = sum(n16,n18)
& ( n19 = X30
| n14 = X30
| n20 = X30
| n21 = X30
| n18 = X30
| n4 = X30
| n17 = X30
| n23 = X30
| n3 = X30
| n25 = X30
| n1 = X30
| n9 = X30
| n5 = X30
| n6 = X30
| n2 = X30
| n0 = X30
| n11 = X30
| n8 = X30
| n13 = X30
| n10 = X30
| n22 = X30
| n7 = X30
| n24 = X30
| n15 = X30
| n12 = X30
| n16 = X30 )
& n4 != n15
& n24 = sum(n5,n19)
& n20 = sum(n12,n8)
& n13 = sum(n2,n11)
& n7 != n23
& n0 != n2
& n4 != n18
& sum(sum(pred(X17),succ(X6)),sum(pred(X6),succ(X17))) = X8
& n17 = sum(n16,n1)
& n2 = sum(n3,n25)
& n8 != n9
& n10 != n17
& n20 = sum(n25,n21)
& n19 = sum(n20,n25)
& n5 != n15
& n9 = sum(n23,n12)
& n22 = sum(n4,n18)
& n16 = sum(n15,n1)
& n24 = sum(n24,n0)
& n8 = sum(n4,n4)
& n3 != n12
& n1 != n25
& n5 = sum(n21,n10)
& n11 = sum(n2,n9)
& n17 = sum(n25,n18)
& n3 = sum(n3,n0)
& n13 = sum(n3,n10)
& n12 = sum(n6,n6)
& n20 != n25
& n11 = sum(n23,n14)
& n8 != n20
& n11 = sum(n18,n19)
& n23 = sum(n20,n3)
& n7 = sum(n13,n20)
& n14 = sum(n21,n19)
& n4 = sum(n25,n5)
& n1 = sum(n9,n18)
& n2 = sum(n1,n1)
& n18 = sum(n21,n23)
& n10 = sum(n3,n7)
& n9 != n23
& n4 = sum(n1,n3)
& sum(sum(pred(X8),succ(X47)),sum(pred(X47),succ(X8))) = X27
& n23 = sum(n23,n0)
& succ(n2) = n3
& n16 = sum(n10,n6)
& n9 != n11
& n0 = sum(n7,n19)
& n23 = sum(n16,n7)
& n2 = sum(n8,n20)
& n23 = sum(n18,n5)
& n24 = sum(n16,n8)
& n15 = sum(n16,n25)
& n24 = sum(n3,n21)
& n12 = sum(n17,n21)
& n3 != n7
& n16 = sum(n1,n15)
& n15 != n25
& succ(n15) = n16
& n9 = sum(n14,n21)
& n2 = sum(n23,n5)
& n8 = sum(n25,n9)
& n8 != n17
& n17 = sum(n6,n11)
& n12 = sum(n2,n10)
& n4 = sum(n8,n22)
& n13 = sum(n10,n3)
& n11 != n21
& n19 = sum(n17,n2)
& n10 = sum(n12,n24)
& n20 = sum(n1,n19)
& n11 != n12
& n19 != n25
& n21 = sum(n18,n3)
& n21 != n25
& succ(n7) = n8
& n9 = sum(n19,n16)
& n19 != n20
& n24 = sum(n2,n22)
& n25 = sum(n16,n9)
& n2 = sum(n13,n15)
& n17 = sum(n2,n15)
& n8 = sum(n7,n1)
& n4 = sum(n15,n15)
& n7 != n8
& n5 != n21
& sum(sum(pred(X40),succ(X40)),sum(pred(X5),succ(X5))) = X32
& n4 = sum(n0,n4)
& n1 != n24
& n8 != n11
& n18 != n20
& n5 = sum(n17,n14)
& n24 = sum(n10,n14)
& n19 = sum(n1,n18)
& n23 = sum(n1,n22)
& sum(sum(pred(X15),succ(X15)),sum(pred(X9),succ(X9))) = X11
& n5 = sum(n18,n13)
& n25 = sum(n21,n4)
& n2 = sum(n17,n11)
& sum(sum(pred(X36),succ(X36)),sum(pred(X32),succ(X32))) = X49
& n23 != n24
& n8 != n14
& n23 = sum(n17,n6)
& n12 = sum(n20,n18)
& n4 = pred(n5)
& n13 != n25
& n12 != n25
& n15 = sum(n0,n15)
& n13 = sum(n1,n12)
& n17 = sum(n24,n19)
& n6 = pred(n7)
& n19 = sum(n13,n6)
& sum(sum(pred(X4),succ(X43)),sum(pred(X43),succ(X4))) = X25
& n14 != n16
& n2 = sum(n15,n13)
& n10 = sum(n14,n22)
& n6 != n23
& n4 = sum(n6,n24)
& succ(n22) = n23
& n5 = sum(n4,n1)
& n10 = sum(n2,n8)
& sum(sum(pred(X17),succ(X17)),sum(pred(X6),succ(X6))) = X47
& n14 = sum(n6,n8)
& n21 = sum(n19,n2)
& n16 = pred(n17)
& n7 = sum(n5,n2)
& n2 = sum(n9,n19)
& n14 = sum(n16,n24)
& sum(sum(pred(X42),succ(X14)),sum(pred(X14),succ(X42))) = X38
& n4 != n13
& n9 != n14
& n6 = sum(n16,n16)
& n7 != n11
& n14 = sum(n3,n11)
& n3 = sum(n12,n17)
& n6 != n16
& n9 = sum(n0,n9)
& sum(sum(pred(X36),succ(X32)),sum(pred(X32),succ(X36))) = X41
& sum(sum(pred(X25),succ(X16)),sum(pred(X16),succ(X25))) = X21
& n11 = sum(n25,n12)
& n13 = sum(n25,n14)
& n3 != n10
& n10 = sum(n5,n5)
& n1 = sum(n15,n12)
& n2 = sum(n2,n0)
& n7 = sum(n17,n16)
& sum(sum(pred(X8),succ(X8)),sum(pred(X47),succ(X47))) = X51
& sum(sum(pred(X23),succ(X23)),sum(pred(X48),succ(X48))) = X5
& n0 = sum(n5,n21)
& n21 = sum(n25,n22)
& n3 = sum(n16,n13)
& n4 != n10
& n1 = sum(n2,n25)
& n25 = sum(n14,n11)
& n13 = sum(n0,n13)
& n12 = sum(n9,n3)
& n6 != n13
& n16 != n19
& n16 != n24
& n11 != n18
& n17 != n21
& n6 != n12
& n11 = sum(n19,n18)
& n10 = sum(n13,n23)
& n4 != n5
& n22 != n23
& n22 = sum(n18,n4)
& n5 != n16
& n18 = sum(n25,n19)
& n6 = sum(n20,n12)
& n1 != n20
& n3 != n15
& n22 = sum(n17,n5)
& n2 != n4
& n17 != n23
& n9 != n18
& n4 != n16
& n9 = sum(n6,n3)
& n18 != n24
& n24 = sum(n13,n11)
& n11 = pred(n12)
& n12 != n21
& n24 = sum(n6,n18)
& n7 = sum(n9,n24)
& n3 = sum(n14,n15)
& sum(sum(pred(X38),succ(X20)),sum(pred(X20),succ(X38))) = X23
& n2 = sum(n10,n18)
& sum(sum(pred(X39),succ(X11)),sum(pred(X11),succ(X39))) = X45
& n7 = sum(n22,n11)
& n17 = pred(n18)
& n4 = sum(n17,n13)
& n0 != n11
& n2 = sum(n5,n23)
& n14 != n21
& n25 = sum(n7,n18)
& n0 != n22
& n24 = sum(n11,n13)
& sum(sum(pred(X15),succ(X9)),sum(pred(X9),succ(X15))) = X39
& sum(sum(pred(X25),succ(X25)),sum(pred(X16),succ(X16))) = X1
& n9 = sum(n12,n23)
& n4 = sum(n2,n2)
& n15 = sum(n23,n18)
& n15 = sum(n21,n20)
& n22 = sum(n12,n10)
& n17 = sum(n10,n7)
& n0 = sum(n23,n3)
& n5 = sum(n5,n0)
& n21 = sum(n10,n11)
& n22 = sum(n6,n16)
& n7 != n19
& sum(sum(pred(X13),succ(X13)),sum(pred(X24),succ(X24))) = X22
& n0 != n6
& n19 = sum(n18,n1)
& n8 = sum(n14,n20)
& n21 = sum(n8,n13)
& sum(sum(pred(X13),succ(X24)),sum(pred(X24),succ(X13))) = X31
& n15 != n23
& n6 = sum(n1,n5)
& n24 = sum(n7,n17)
& n10 != n13
& n15 != n19
& n15 = sum(n25,n16)
& n7 = sum(n15,n18)
& n24 = sum(n23,n1)
& n6 != n19
& n12 = sum(n1,n11)
& n13 = sum(n6,n7)
& n5 = sum(n24,n7)
& n5 = sum(n1,n4)
& n7 != n15
& n21 = sum(n12,n9)
& n25 = sum(n22,n3)
& n22 = sum(n20,n2)
& n9 != n10
& n14 = sum(n1,n13)
& n7 != n21
& n14 = sum(n24,n16)
& n22 = sum(n7,n15)
& n16 = sum(n17,n25)
& n20 = sum(n0,n20)
& n4 != n21
& n1 = sum(n23,n4)
& n19 = sum(n4,n15)
& n4 != n12
& n6 != n22
& n23 = sum(n12,n11)
& succ(n11) = n12
& n1 != n19
& n13 != n21
& n13 = sum(n12,n1)
& n7 = sum(n4,n3)
& n8 = sum(n10,n24)
& n8 = sum(n2,n6)
& n4 = sum(n13,n17)
& n11 = sum(n12,n25)
& n10 != n23
& n3 != n5
& n18 = sum(n19,n25)
& n17 = sum(n5,n12)
& n2 != n22
& n17 = sum(n0,n17)
& n2 != n18
& n5 = sum(n9,n22)
& n10 != n25
& n6 = sum(n12,n20)
& n16 = sum(n9,n7)
& n25 = sum(n9,n16)
& n17 = sum(n12,n5)
& n15 != n18
& n14 = sum(n22,n18)
& n1 != n17
& n4 != n23
& n6 = sum(n0,n6)
& n0 = sum(n11,n15)
& n12 = sum(n14,n24)
& n10 = sum(n20,n16)
& n0 != n23
& n3 = sum(n15,n14)
& n7 != n10
& n9 != n13
& n23 = sum(n3,n20)
& n4 != n22
& n22 = sum(n8,n14)
& n20 = sum(n14,n6)
& n0 != n20
& n24 = sum(n1,n23)
& n8 = sum(n5,n3)
& n0 = sum(n19,n7)
& n4 = sum(n10,n20)
& n0 != n9
& n16 != n23
& n1 != n8
& n10 = sum(n6,n4)
& sum(sum(pred(X31),succ(X22)),sum(pred(X22),succ(X31))) = X15
& n2 != n10
& n1 = sum(n25,n2)
& n25 = sum(n8,n17)
& n16 != n17
& n18 = sum(n2,n16)
& n13 != n18
& n15 != n22
& n10 != n22
& n17 = sum(n15,n2)
& n5 = sum(n19,n12)
& n23 = sum(n9,n14)
& n13 = sum(n4,n9)
& n3 != n9
& n1 != n6
& n4 != n25
& n10 = sum(n8,n2)
& n8 = sum(n11,n23)
& n15 = sum(n3,n12)
& n3 != n21
& n12 != n18
& n12 = sum(n12,n0)
& n7 != n17
& n14 = sum(n10,n4)
& n5 = sum(n3,n2)
& n6 != n24
& n5 = sum(n15,n16)
& n1 != n11
& n17 = sum(n18,n25)
& n8 = sum(n19,n15)
& succ(n18) = n19
& n21 = sum(n17,n4)
& sum(sum(pred(X38),succ(X38)),sum(pred(X20),succ(X20))) = X48
& n13 = sum(n23,n16)
& n8 != n15
& sum(sum(pred(X27),succ(X27)),sum(pred(X51),succ(X51))) = X0
& n1 != n14
& n1 != n16
& n1 = sum(n1,n0)
& n17 = sum(n22,n21)
& n11 = sum(n13,n24)
& n15 = sum(n15,n0)
& n9 = sum(n3,n6)
& n2 != n19
& n9 = sum(n5,n4)
& n16 != n18
& n4 = sum(n14,n16)
& n24 = sum(n15,n9)
& n13 != n19
& n1 = sum(n24,n3)
& n16 != n20
& n21 = sum(n11,n10)
& n6 = sum(n13,n19)
& n14 = sum(n14,n0)
& n1 = sum(n3,n24)
& n13 = sum(n15,n24)
& n12 = sum(n3,n9)
& n0 != n15
& n9 = sum(n25,n10)
& n15 != n16
& n6 = sum(n15,n17)
& n11 = sum(n8,n3)
& n23 = sum(n7,n16)
& n9 = sum(n22,n13)
& n18 = sum(n1,n17)
& n4 = sum(n3,n1)
& n0 = sum(n9,n17)
& n18 = sum(n22,n22)
& n22 = sum(n10,n12)
& n10 != n15
& n23 = sum(n5,n18)
& n3 = sum(n5,n24)
& n6 != n11
& n24 = sum(n12,n12)
& n7 = sum(n8,n25)
& succ(n0) = n1
& n3 != n4
& n10 = sum(n11,n25)
& sum(sum(pred(X34),succ(X34)),sum(pred(X7),succ(X7))) = X43
& n18 = sum(n17,n1)
& n20 = sum(n10,n10)
& n18 = sum(n14,n4)
& n3 = sum(n22,n7)
& n12 != n19
& n22 = sum(n1,n21)
& n13 != n15
& n12 = sum(n11,n1)
& n5 = sum(n6,n25)
& n1 = sum(n21,n6)
& n5 = sum(n25,n6)
& n21 = sum(n0,n21)
& n12 != n17
& n14 = sum(n2,n12)
& n0 != n3
& n20 = sum(n3,n17)
& n5 != n11
& n20 = sum(n11,n9)
& n7 = pred(n8)
& n18 != n19
& n4 != n9
& n4 = sum(n7,n23)
& n0 = sum(n4,n22)
& n9 != n19
& n20 = sum(n21,n25)
& n20 = sum(n6,n14)
& n6 != n20
& n2 != n15
& succ(n21) = n22
& n14 = sum(n17,n23)
& n5 = sum(n2,n3)
& n10 != n16
& n8 != n21
& n12 != n15
& n20 = sum(n17,n3)
& n11 = sum(n20,n17)
& n20 != n21
& n16 = sum(n21,n21)
& n19 = sum(n10,n9)
& n2 != n23
& n15 = sum(n18,n23)
& n11 = sum(n1,n10)
& n19 = sum(n14,n5)
& succ(n13) = n14
& n25 = sum(n25,n0)
& n14 = sum(n19,n21)
& n9 != n17
& n18 = sum(n3,n15)
& n11 != n22
& n3 = sum(n19,n10)
& n18 != n23
& n5 != n20
& n7 = sum(n6,n1)
& n19 = sum(n6,n13)
& n25 = sum(n4,n21)
& n15 = sum(n1,n14)
& succ(n19) = n20
& n25 = sum(n24,n1)
& n5 = pred(n6)
& n12 = sum(n13,n25)
& n10 != n11
& n17 = sum(n3,n14)
& n17 = sum(n20,n23)
& n21 = sum(n9,n12)
& sum(sum(pred(X30),succ(X30)),sum(pred(X10),succ(X10))) = X14
& n1 = sum(n17,n10)
& n20 = sum(n7,n13)
& n13 = sum(n16,n23)
& succ(n23) = n24
& n1 = sum(n18,n9)
& n7 != n9
& n15 != n20
& n8 = sum(n8,n0)
& n6 != n7
& n6 = sum(n22,n10)
& n25 = sum(n1,n24)
& n8 = sum(n22,n12)
& n3 != n19
& n9 = sum(n7,n2)
& n24 = sum(n0,n24)
& n8 != n13
& n11 = sum(n24,n13)
& succ(n5) = n6
& n11 != n23
& n16 != n25
& n8 = sum(n9,n25)
& n22 != n24
& n8 = sum(n1,n7)
& n2 != n11
& n16 = sum(n13,n3)
& n10 = sum(n21,n15)
& n10 = sum(n17,n19)
& n0 = sum(n0,n0)
& n6 = sum(n24,n8)
& n11 = sum(n14,n23)
& n19 != n24
& n21 = sum(n13,n8)
& n7 = sum(n21,n12)
& n7 != n16
& n17 != n22
& sum(sum(pred(X21),succ(X21)),sum(pred(X1),succ(X1))) = X2
& n1 = sum(n6,n21)
& succ(n24) = n25
& n5 = sum(n13,n18)
& n2 = sum(n12,n16)
& n19 != n23
& n3 = sum(n1,n2)
& n6 = sum(n8,n24)
& n18 != n21
& n21 = sum(n23,n24)
& n19 = sum(n12,n7)
& n3 = sum(n0,n3)
& n3 = sum(n23,n6)
& n14 = sum(n11,n3)
& n25 = pred(n0)
& n22 = sum(n22,n0)
& n25 = sum(n12,n13)
& n25 = sum(n15,n10)
& n3 != n23
& n18 = sum(n11,n7)
& n18 = sum(n10,n8)
& n9 = sum(n10,n25)
& n0 = sum(n18,n8)
& n7 != n25
& n15 = sum(n22,n19)
& n14 = sum(n25,n15)
& n14 = sum(n12,n2)
& n5 != n23
& n13 != n20
& n25 = sum(n23,n2)
& n4 = sum(n9,n21)
& n4 != n11
& n0 != n13
& n19 = sum(n15,n4)
& n6 = sum(n7,n25)
& n22 = sum(n21,n1)
& n24 = sum(n18,n6)
& n0 = sum(n17,n9)
& n7 != n24
& n4 = sum(n4,n0)
& n1 = sum(n14,n13)
& n5 = sum(n23,n8)
& n15 != n17
& n24 = sum(n21,n3)
& n12 = sum(n5,n7)
& n25 = sum(n20,n5)
& n10 != n24
& n13 = sum(n17,n22)
& n2 != n16
& n8 = sum(n23,n11)
& n4 = sum(n19,n11)
& n0 = sum(n10,n16)
& n17 != n18
& n5 = sum(n7,n24)
& sum(sum(pred(X42),succ(X42)),sum(pred(X14),succ(X14))) = X20
& n11 = sum(n3,n8)
& n7 != n14
& n1 = sum(n22,n5)
& n18 = sum(n23,n21)
& n17 = sum(n23,n20)
& n13 != n24
& n19 = sum(n5,n14)
& n7 = sum(n24,n9)
& n6 = sum(n18,n14)
& n22 = sum(n15,n7)
& n10 != n14
& n6 != n14
& n17 = sum(n19,n24)
& n3 != n14
& n3 != n13
& n1 = sum(n8,n19)
& n19 = sum(n21,n24)
& n17 = sum(n4,n13)
& n14 = sum(n0,n14)
& n21 != n22
& n7 != n22
& n0 = sum(n20,n6)
& n2 = sum(n0,n2)
& n8 != n19
& n16 != n21
& n20 = sum(n8,n12)
& n5 = sum(n8,n23)
& n22 = sum(n16,n6)
& n11 != n24
& n16 != n22
& n15 = sum(n5,n10)
& n5 != n12
& n0 = pred(n1)
& n1 != n7
& n4 != n14
& n18 = sum(n12,n6)
& n18 = sum(n5,n13)
& n7 != n20
& n24 = sum(n17,n7)
& n8 = sum(n15,n19)
& n2 != n21
& n16 = sum(n0,n16)
& n14 != n23
& n2 = sum(n24,n4)
& sum(sum(pred(X31),succ(X31)),sum(pred(X22),succ(X22))) = X9
& n9 != n21
& succ(n17) = n18
& ( X14 != X42
| X26 != X37
| X9 != X15
| X13 != X24
| X23 != X48
| X41 != X49
| X22 != X31
| X8 != X47
| X28 != X50
| X19 != X29
| X16 != X25
| X2 != X18
| X0 != X46
| X1 != X21
| X35 != X45
| X6 != X17
| X32 != X36
| X33 != X44
| X4 != X43
| X11 != X39
| X5 != X40
| X27 != X51
| X20 != X38
| X7 != X34
| X3 != X12 )
& n4 != n7
& n8 = sum(n0,n8)
& n3 != n25
& n8 = sum(n21,n13)
& n2 != n20
& succ(n16) = n17
& n8 = sum(n6,n2)
& sum(sum(pred(X12),succ(X12)),sum(pred(X3),succ(X3))) = X33
& sum(sum(pred(X12),succ(X3)),sum(pred(X3),succ(X12))) = X44
& n9 = sum(n11,n24)
& n2 != n6
& n21 = sum(n16,n5)
& n6 = sum(n2,n4)
& n22 = sum(n23,n25)
& n23 = sum(n15,n8)
& n15 = sum(n19,n22)
& n3 = sum(n20,n9)
& n10 != n12
& n21 = pred(n22)
& n2 != n25
& n6 != n18
& succ(n9) = n10
& n16 = sum(n2,n14)
& n12 = sum(n23,n15)
& n16 = sum(n22,n20)
& n19 = sum(n0,n19)
& n19 = sum(n7,n12)
& n14 != n20
& n12 != n24
& n18 = sum(n24,n20)
& n6 = sum(n5,n1)
& n10 = sum(n19,n17)
& n17 = sum(n21,n22)
& n8 != n16
& n15 = sum(n12,n3)
& n7 = sum(n18,n15)
& n24 = sum(n19,n5)
& n23 = sum(n21,n2)
& n12 = sum(n24,n14)
& succ(n3) = n4
& n1 != n22
& n4 = sum(n22,n8)
& n7 = sum(n1,n6)
& n20 = sum(n24,n22)
& n0 != n1
& n2 != n24
& succ(n4) = n5
& n11 != n17
& n17 = sum(n13,n4)
& n9 = pred(n10)
& n22 = sum(n9,n13)
& n21 = sum(n2,n19)
& n6 = sum(n6,n0)
& n16 = sum(n20,n22)
& sum(sum(pred(X18),succ(X2)),sum(pred(X2),succ(X18))) = X17
& n18 = sum(n9,n9)
& n19 = sum(n9,n10)
& n9 = sum(n16,n19)
& n7 = sum(n19,n14)
& n0 != n25
& n0 != n17
& n5 = sum(n14,n17)
& n10 = sum(n23,n13)
& n0 = sum(n3,n23)
& n24 = pred(n25)
& n3 = sum(n2,n1)
& n22 = sum(n24,n24)
& n18 = sum(n8,n10)
& n2 != n13
& sum(sum(pred(X41),succ(X49)),sum(pred(X49),succ(X41))) = X34
& n3 != n11
& sum(sum(pred(X19),succ(X29)),sum(pred(X29),succ(X19))) = X12
& n9 = sum(n15,n20)
& n16 = sum(n4,n12)
& n16 = sum(n3,n13)
& n4 = sum(n24,n6)
& n0 != n18
& n6 = sum(n4,n2)
& n5 != n18
& n9 = sum(n21,n14)
& n5 != n7
& n15 = sum(n24,n17)
& n9 = sum(n8,n1)
& succ(n20) = n21
& n16 = sum(n24,n18)
& n19 = sum(n24,n21)
& n10 = sum(n0,n10)
& n15 = sum(n9,n6)
& n9 = sum(n24,n11)
& n20 = sum(n15,n5)
& n12 = sum(n8,n4)
& n12 = sum(n22,n16)
& n6 = sum(n21,n11)
& n4 = sum(n11,n19)
& n7 = sum(n23,n10)
& n12 = sum(n15,n23)
& n0 = sum(n12,n14)
& n17 = sum(n11,n6)
& n21 = sum(n20,n1)
& n12 = sum(n18,n20)
& n14 != n19
& n2 != n12
& n24 = sum(n14,n10)
& n0 != n12
& n12 != n23
& n19 != n21
& n21 = sum(n22,n25)
& n1 != n18
& n1 = pred(n2)
& n16 = sum(n14,n2)
& sum(sum(pred(X46),succ(X46)),sum(pred(X0),succ(X0))) = X28
& n10 != n21
& n21 = sum(n7,n14)
& n0 = sum(n13,n13)
& n4 = sum(n21,n9)
& n15 != n21
& n0 != n7
& n24 = sum(n8,n16)
& n2 = sum(n21,n7)
& n16 = sum(n19,n23)
& sum(sum(pred(X34),succ(X7)),sum(pred(X7),succ(X34))) = X4
& n2 = sum(n7,n21)
& sum(sum(pred(X18),succ(X18)),sum(pred(X2),succ(X2))) = X6
& n14 != n18
& n21 = sum(n21,n0)
& n0 != n21
& n23 = sum(n10,n13)
& n11 = sum(n10,n1)
& n14 = sum(n5,n9)
& n1 = sum(n19,n8)
& n3 = sum(n17,n12)
& n6 != n15
& n12 = sum(n16,n22)
& n19 != n22
& sum(sum(pred(X41),succ(X41)),sum(pred(X49),succ(X49))) = X7
& n6 != n25
& n15 = sum(n20,n21)
& n15 = pred(n16)
& n2 = sum(n22,n6)
& n19 = sum(n25,n20)
& n4 != n8
& n4 = sum(n23,n7)
& n14 != n15
& n17 = sum(n17,n0)
& n6 = sum(n3,n3)
& n20 = sum(n9,n11)
& n11 = sum(n22,n15)
& n4 != n20
& succ(n10) = n11
& n4 != n24
& n18 = sum(n6,n12)
& n0 = sum(n1,n25)
& n0 != n4
& n12 != n22
& n11 = sum(n21,n16)
& n14 != n17
& n11 = sum(n0,n11)
& n2 = sum(n20,n8)
& n18 = sum(n13,n5)
& n8 = sum(n13,n21)
& n14 = sum(n20,n20)
& n3 != n24
& n12 = sum(n0,n12)
& n7 = sum(n10,n23)
& n23 = sum(n13,n10)
& n12 = pred(n13)
& n19 = sum(n19,n0)
& n23 = sum(n25,n24)
& n5 = sum(n12,n19)
& n15 = sum(n10,n5)
& n11 = sum(n17,n20)
& n20 = sum(n18,n2)
& n11 = sum(n6,n5)
& n1 != n21
& n12 = sum(n25,n13)
& n13 = sum(n24,n15)
& n8 = sum(n3,n5)
& n2 = sum(n16,n12)
& n20 != n23
& n11 = sum(n5,n6)
& n22 = sum(n3,n19)
& n13 = sum(n14,n25)
& n11 = sum(n11,n0)
& n9 = sum(n17,n18)
& n9 = sum(n4,n5)
& n17 != n25
& n14 = sum(n9,n5)
& n22 = sum(n11,n11)
& n0 != n16
& n9 = sum(n9,n0)
& sum(sum(pred(X30),succ(X10)),sum(pred(X10),succ(X30))) = X42
& n20 != n22
& n1 != n3
& n7 = sum(n14,n19)
& n15 = sum(n11,n4)
& n23 = sum(n2,n21)
& n6 != n17
& n0 = sum(n8,n18)
& n0 != n10
& n24 = sum(n9,n15)
& n6 != n9
& n16 = sum(n23,n19)
& n11 = sum(n7,n4)
& n19 = sum(n11,n8)
& n0 != n14
& n1 != n4
& n9 != n25
& n0 = succ(n25)
& n25 = sum(n2,n23)
& n0 = sum(n15,n11)
& n22 = sum(n0,n22)
& n13 = sum(n11,n2)
& n4 = sum(n12,n18)
& n18 = sum(n0,n18)
& n4 = sum(n18,n12)
& n20 = pred(n21)
& n17 = sum(n1,n16)
& succ(n12) = n13
& n12 = sum(n19,n19)
& n12 != n13
& n3 != n18
& n6 = sum(n25,n7)
& n21 = sum(n24,n23)
& n8 = pred(n9)
& n13 = sum(n8,n5)
& n2 = sum(n4,n24)
& n13 = sum(n19,n20)
& n5 != n19
& n3 != n17
& n5 != n8
& sum(sum(pred(X50),succ(X28)),sum(pred(X28),succ(X50))) = X13
& n7 = sum(n20,n13)
& n10 = sum(n16,n20)
& n18 = sum(n7,n11)
& n0 != n8
& n20 != n24
& n21 = sum(n5,n16)
& n20 = sum(n22,n24)
& n22 = sum(n13,n9)
& n13 = pred(n14)
& n5 = sum(n16,n15)
& n1 = sum(n20,n7)
& n23 = sum(n6,n17)
& n7 = sum(n7,n0)
& n4 = sum(n5,n25)
& n3 = sum(n6,n23)
& n21 = sum(n14,n7)
& n1 = sum(n10,n17)
& n2 = sum(n6,n22)
& sum(sum(pred(X27),succ(X51)),sum(pred(X51),succ(X27))) = X46
& n1 = sum(n5,n22)
& n14 = sum(n18,n22)
& n5 != n6
& n21 = sum(n1,n20)
& sum(sum(pred(X39),succ(X39)),sum(pred(X11),succ(X11))) = X35
& n11 != n15
& n0 = sum(n16,n10)
& n22 = sum(n25,n23)
& n14 != n22
& n2 = sum(n19,n9)
& n15 = sum(n13,n2)
& n17 != n24
& n7 = sum(n3,n4)
& n8 != n10
& n6 != n10
& n25 = sum(n3,n22)
& n14 != n24
& n9 = sum(n18,n17)
& n25 = sum(n6,n19)
& n15 = sum(n14,n1)
& n14 = sum(n23,n17)
& n11 != n13
& n11 = sum(n4,n7)
& n21 = sum(n4,n17)
& n2 != n17
& n14 = sum(n15,n25)
& n25 = sum(n11,n14)
& n2 = sum(n11,n17)
& sum(sum(pred(X50),succ(X50)),sum(pred(X28),succ(X28))) = X24
& n13 != n22
& n6 = sum(n17,n15)
& n6 = sum(n11,n21)
& n18 = pred(n19)
& n12 = sum(n21,n17)
& n8 = sum(n18,n16)
& n16 = sum(n11,n5)
& n1 = sum(n7,n20)
& n15 = sum(n8,n7)
& n1 != n5
& sum(sum(pred(X40),succ(X5)),sum(pred(X5),succ(X40))) = X36
& n12 != n20
& n17 = sum(n7,n10)
& ( n13 = X10
| n5 = X10
| n9 = X10
| n15 = X10
| n12 = X10
| n8 = X10
| n7 = X10
| n19 = X10
| n24 = X10
| n0 = X10
| n14 = X10
| n20 = X10
| n11 = X10
| n18 = X10
| n6 = X10
| n10 = X10
| n21 = X10
| n25 = X10
| n2 = X10
| n23 = X10
| n17 = X10
| n16 = X10
| n3 = X10
| n1 = X10
| n22 = X10
| n4 = X10 )
& n22 = pred(n23)
& n6 = sum(n19,n13)
& n4 != n17
& n14 = pred(n15)
& n3 != n22
& n13 = sum(n20,n19)
& n23 = sum(n19,n4)
& n3 = sum(n7,n22)
& n1 != n23
& n13 != n17
& n8 = sum(n12,n22)
& n7 = sum(n25,n8)
& n9 != n16
& n9 != n20
& n16 = sum(n8,n8)
& n3 = sum(n8,n21)
& n5 = sum(n22,n9)
& n13 = sum(n18,n21)
& n13 != n23
& n22 = sum(n19,n3)
& n3 != n8
& n9 != n24
& n18 != n25
& n2 = pred(n3)
& n5 != n25
& n7 = sum(n0,n7)
& n6 != n8
& n1 != n10
& sum(sum(pred(X44),succ(X44)),sum(pred(X33),succ(X33))) = X37
& n22 = sum(n14,n8)
& n15 != n24
& n20 = sum(n19,n1)
& n16 = sum(n6,n10)
& n18 = sum(n15,n3)
& n16 = sum(n25,n17)
& n2 = sum(n14,n14)
& n1 = sum(n12,n15)
& n6 = sum(n23,n9)
& n10 = sum(n4,n6)
& n14 = sum(n4,n10)
& n25 = sum(n18,n7)
& n24 != n25
& n0 != n19
& n20 = sum(n4,n16)
& n9 != n12
& n21 = sum(n3,n18)
& n11 = sum(n16,n21)
& n13 = sum(n13,n0)
& n19 = sum(n2,n17)
& sum(sum(pred(X4),succ(X4)),sum(pred(X43),succ(X43))) = X16
& n14 = sum(n8,n6)
& n10 != n18
& n17 != n20
& n3 = sum(n9,n20)
& n25 = sum(n13,n12)
& n16 = sum(n12,n4)
& n20 = sum(n23,n23)
& n21 = sum(n15,n6)
& n17 = sum(n14,n3)
& n24 = sum(n4,n20)
& n19 = sum(n22,n23)
& n4 = sum(n16,n14)
& n24 = sum(n25,n25)
& n3 != n6
& n12 = sum(n10,n2)
& sum(sum(pred(X21),succ(X1)),sum(pred(X1),succ(X21))) = X18
& n7 = sum(n11,n22)
& n11 = sum(n9,n2)
& n2 != n14
& n15 = sum(n6,n9)
& n1 != n9
& succ(n14) = n15
& n23 != n25
& n1 != n2
& n5 = sum(n11,n20)
& n12 = sum(n4,n8)
& n13 = sum(n9,n4)
& n16 = sum(n7,n9)
& n0 = sum(n6,n20)
& n2 = sum(n18,n10)
& n9 = sum(n2,n7)
& n3 = sum(n11,n18)
& n4 != n19
& n3 = pred(n4)
& n1 != n12
& n3 = sum(n25,n4)
& n3 = sum(n4,n25)
& n11 != n16
& n9 != n15
& n17 = sum(n8,n9)
& n1 = sum(n16,n11)
& n2 != n3
& n19 = pred(n20)
& sum(sum(pred(X19),succ(X19)),sum(pred(X29),succ(X29))) = X3
& sum(sum(pred(X45),succ(X45)),sum(pred(X35),succ(X35))) = X29
& n9 = sum(n13,n22)
& n1 = sum(n0,n1)
& n1 != n15
& n3 != n20
& n5 = sum(n0,n5)
& n10 != n19
& n18 = sum(n4,n14)
& n10 = sum(n9,n1)
& n13 = sum(n7,n6)
& n20 = sum(n20,n0)
& n19 = sum(n23,n22)
& n7 = sum(n16,n17)
& n5 != n24
& n17 = sum(n9,n8)
& succ(n1) = n2
& n5 != n9
& n7 = sum(n12,n21)
& n19 = sum(n3,n16)
& n23 = sum(n8,n15)
& n18 = sum(n16,n2)
& n8 != n25
& n1 = sum(n13,n14)
& n0 = sum(n2,n24)
& n3 != n16
& n10 = sum(n18,n18)
& n0 != n24 )
=> ( sK40 = sum(sum(pred(sK23),succ(sK48)),sum(pred(sK48),succ(sK23)))
& n7 = sum(n2,n5)
& n10 = pred(n11)
& n14 = sum(n7,n7)
& n8 != n24
& n18 = sum(n18,n0)
& n0 = sum(n14,n12)
& n11 != n25
& n2 = sum(n25,n3)
& n20 = sum(n16,n4)
& n6 = sum(n9,n23)
& n10 = sum(n7,n3)
& n7 != n13
& n23 = sum(n24,n25)
& n4 = sum(n20,n10)
& n5 = sum(n10,n21)
& n9 != n22
& n8 != n12
& n7 != n12
& n2 != n7
& n10 = sum(n10,n0)
& n11 != n19
& n8 = sum(n17,n17)
& n23 = sum(n11,n12)
& n3 = sum(n13,n16)
& n25 = sum(n0,n25)
& n15 = sum(n4,n11)
& n11 = sum(n15,n22)
& n23 = pred(n24)
& n2 != n5
& n22 = sum(n2,n20)
& n23 = sum(n22,n1)
& n21 != n24
& n5 != n13
& n13 != n16
& n2 != n8
& n10 = sum(n22,n14)
& n23 = sum(n14,n9)
& n9 = sum(n20,n15)
& n4 != n6
& n12 = sum(n7,n5)
& n11 != n14
& n24 = sum(n20,n4)
& n6 = sum(n14,n18)
& n25 = sum(n19,n6)
& n0 != n5
& n8 = sum(n24,n10)
& n15 = sum(n7,n8)
& n5 != n10
& n13 != n14
& n8 != n22
& n22 != n25
& n18 = sum(n20,n24)
& n6 != n21
& sum(sum(pred(sK44),succ(sK33)),sum(pred(sK33),succ(sK44))) = sK26
& n7 != n18
& n0 = sum(n25,n1)
& n8 != n18
& n1 != n13
& n3 = sum(n21,n8)
& succ(n6) = n7
& n19 = sum(n16,n3)
& n0 = sum(n24,n2)
& n20 = sum(n13,n7)
& n21 = sum(n6,n15)
& n25 = sum(n17,n8)
& n9 = sum(n1,n8)
& n19 = sum(n8,n11)
& n17 != n19
& n23 = sum(n0,n23)
& sK19 = sum(sum(pred(sK45),succ(sK35)),sum(pred(sK35),succ(sK45)))
& n15 = sum(n17,n24)
& n0 = sum(n21,n5)
& n1 = sum(n11,n16)
& n1 = sum(n4,n23)
& n8 != n23
& n10 = sum(n24,n12)
& n25 = sum(n5,n20)
& n5 = sum(n20,n11)
& n14 = sum(n13,n1)
& n12 != n16
& n6 = sum(n10,n22)
& n25 = sum(n10,n15)
& n8 = sum(n20,n14)
& n13 = sum(n21,n18)
& n22 = sum(n5,n17)
& n5 != n22
& n12 != n14
& n20 = sum(n5,n15)
& n14 != n25
& n0 = sum(n22,n4)
& n13 = sum(n5,n8)
& n10 != n20
& n2 != n9
& n11 != n20
& n10 = sum(n25,n11)
& n16 = sum(n18,n24)
& sum(sum(pred(sK46),succ(sK0)),sum(pred(sK0),succ(sK46))) = sK50
& n21 != n23
& n16 = sum(n5,n11)
& n24 = sum(n22,n2)
& n3 = sum(n10,n19)
& n3 = sum(n18,n11)
& n10 = sum(n1,n9)
& n16 = sum(n16,n0)
& n20 = sum(n2,n18)
& n5 != n17
& n5 != n14
& n18 != n22
& n15 = sum(n2,n13)
& n13 = sum(n22,n17)
& n10 = sum(n15,n21)
& n3 = sum(n24,n5)
& n23 = sum(n4,n19)
& succ(n8) = n9
& n8 = sum(n16,n18)
& ( n19 = sK30
| n14 = sK30
| n20 = sK30
| n21 = sK30
| n18 = sK30
| n4 = sK30
| n17 = sK30
| n23 = sK30
| n3 = sK30
| n25 = sK30
| n1 = sK30
| n9 = sK30
| n5 = sK30
| n6 = sK30
| n2 = sK30
| n0 = sK30
| n11 = sK30
| n8 = sK30
| n13 = sK30
| n10 = sK30
| n22 = sK30
| n7 = sK30
| n24 = sK30
| n15 = sK30
| n12 = sK30
| n16 = sK30 )
& n4 != n15
& n24 = sum(n5,n19)
& n20 = sum(n12,n8)
& n13 = sum(n2,n11)
& n7 != n23
& n0 != n2
& n4 != n18
& sK8 = sum(sum(pred(sK17),succ(sK6)),sum(pred(sK6),succ(sK17)))
& n17 = sum(n16,n1)
& n2 = sum(n3,n25)
& n8 != n9
& n10 != n17
& n20 = sum(n25,n21)
& n19 = sum(n20,n25)
& n5 != n15
& n9 = sum(n23,n12)
& n22 = sum(n4,n18)
& n16 = sum(n15,n1)
& n24 = sum(n24,n0)
& n8 = sum(n4,n4)
& n3 != n12
& n1 != n25
& n5 = sum(n21,n10)
& n11 = sum(n2,n9)
& n17 = sum(n25,n18)
& n3 = sum(n3,n0)
& n13 = sum(n3,n10)
& n12 = sum(n6,n6)
& n20 != n25
& n11 = sum(n23,n14)
& n8 != n20
& n11 = sum(n18,n19)
& n23 = sum(n20,n3)
& n7 = sum(n13,n20)
& n14 = sum(n21,n19)
& n4 = sum(n25,n5)
& n1 = sum(n9,n18)
& n2 = sum(n1,n1)
& n18 = sum(n21,n23)
& n10 = sum(n3,n7)
& n9 != n23
& n4 = sum(n1,n3)
& sum(sum(pred(sK8),succ(sK47)),sum(pred(sK47),succ(sK8))) = sK27
& n23 = sum(n23,n0)
& succ(n2) = n3
& n16 = sum(n10,n6)
& n9 != n11
& n0 = sum(n7,n19)
& n23 = sum(n16,n7)
& n2 = sum(n8,n20)
& n23 = sum(n18,n5)
& n24 = sum(n16,n8)
& n15 = sum(n16,n25)
& n24 = sum(n3,n21)
& n12 = sum(n17,n21)
& n3 != n7
& n16 = sum(n1,n15)
& n15 != n25
& succ(n15) = n16
& n9 = sum(n14,n21)
& n2 = sum(n23,n5)
& n8 = sum(n25,n9)
& n8 != n17
& n17 = sum(n6,n11)
& n12 = sum(n2,n10)
& n4 = sum(n8,n22)
& n13 = sum(n10,n3)
& n11 != n21
& n19 = sum(n17,n2)
& n10 = sum(n12,n24)
& n20 = sum(n1,n19)
& n11 != n12
& n19 != n25
& n21 = sum(n18,n3)
& n21 != n25
& succ(n7) = n8
& n9 = sum(n19,n16)
& n19 != n20
& n24 = sum(n2,n22)
& n25 = sum(n16,n9)
& n2 = sum(n13,n15)
& n17 = sum(n2,n15)
& n8 = sum(n7,n1)
& n4 = sum(n15,n15)
& n7 != n8
& n5 != n21
& sum(sum(pred(sK40),succ(sK40)),sum(pred(sK5),succ(sK5))) = sK32
& n4 = sum(n0,n4)
& n1 != n24
& n8 != n11
& n18 != n20
& n5 = sum(n17,n14)
& n24 = sum(n10,n14)
& n19 = sum(n1,n18)
& n23 = sum(n1,n22)
& sK11 = sum(sum(pred(sK15),succ(sK15)),sum(pred(sK9),succ(sK9)))
& n5 = sum(n18,n13)
& n25 = sum(n21,n4)
& n2 = sum(n17,n11)
& sK49 = sum(sum(pred(sK36),succ(sK36)),sum(pred(sK32),succ(sK32)))
& n23 != n24
& n8 != n14
& n23 = sum(n17,n6)
& n12 = sum(n20,n18)
& n4 = pred(n5)
& n13 != n25
& n12 != n25
& n15 = sum(n0,n15)
& n13 = sum(n1,n12)
& n17 = sum(n24,n19)
& n6 = pred(n7)
& n19 = sum(n13,n6)
& sum(sum(pred(sK4),succ(sK43)),sum(pred(sK43),succ(sK4))) = sK25
& n14 != n16
& n2 = sum(n15,n13)
& n10 = sum(n14,n22)
& n6 != n23
& n4 = sum(n6,n24)
& succ(n22) = n23
& n5 = sum(n4,n1)
& n10 = sum(n2,n8)
& sK47 = sum(sum(pred(sK17),succ(sK17)),sum(pred(sK6),succ(sK6)))
& n14 = sum(n6,n8)
& n21 = sum(n19,n2)
& n16 = pred(n17)
& n7 = sum(n5,n2)
& n2 = sum(n9,n19)
& n14 = sum(n16,n24)
& sum(sum(pred(sK42),succ(sK14)),sum(pred(sK14),succ(sK42))) = sK38
& n4 != n13
& n9 != n14
& n6 = sum(n16,n16)
& n7 != n11
& n14 = sum(n3,n11)
& n3 = sum(n12,n17)
& n6 != n16
& n9 = sum(n0,n9)
& sum(sum(pred(sK36),succ(sK32)),sum(pred(sK32),succ(sK36))) = sK41
& sum(sum(pred(sK25),succ(sK16)),sum(pred(sK16),succ(sK25))) = sK21
& n11 = sum(n25,n12)
& n13 = sum(n25,n14)
& n3 != n10
& n10 = sum(n5,n5)
& n1 = sum(n15,n12)
& n2 = sum(n2,n0)
& n7 = sum(n17,n16)
& sum(sum(pred(sK8),succ(sK8)),sum(pred(sK47),succ(sK47))) = sK51
& sum(sum(pred(sK23),succ(sK23)),sum(pred(sK48),succ(sK48))) = sK5
& n0 = sum(n5,n21)
& n21 = sum(n25,n22)
& n3 = sum(n16,n13)
& n4 != n10
& n1 = sum(n2,n25)
& n25 = sum(n14,n11)
& n13 = sum(n0,n13)
& n12 = sum(n9,n3)
& n6 != n13
& n16 != n19
& n16 != n24
& n11 != n18
& n17 != n21
& n6 != n12
& n11 = sum(n19,n18)
& n10 = sum(n13,n23)
& n4 != n5
& n22 != n23
& n22 = sum(n18,n4)
& n5 != n16
& n18 = sum(n25,n19)
& n6 = sum(n20,n12)
& n1 != n20
& n3 != n15
& n22 = sum(n17,n5)
& n2 != n4
& n17 != n23
& n9 != n18
& n4 != n16
& n9 = sum(n6,n3)
& n18 != n24
& n24 = sum(n13,n11)
& n11 = pred(n12)
& n12 != n21
& n24 = sum(n6,n18)
& n7 = sum(n9,n24)
& n3 = sum(n14,n15)
& sum(sum(pred(sK38),succ(sK20)),sum(pred(sK20),succ(sK38))) = sK23
& n2 = sum(n10,n18)
& sK45 = sum(sum(pred(sK39),succ(sK11)),sum(pred(sK11),succ(sK39)))
& n7 = sum(n22,n11)
& n17 = pred(n18)
& n4 = sum(n17,n13)
& n0 != n11
& n2 = sum(n5,n23)
& n14 != n21
& n25 = sum(n7,n18)
& n0 != n22
& n24 = sum(n11,n13)
& sK39 = sum(sum(pred(sK15),succ(sK9)),sum(pred(sK9),succ(sK15)))
& sK1 = sum(sum(pred(sK25),succ(sK25)),sum(pred(sK16),succ(sK16)))
& n9 = sum(n12,n23)
& n4 = sum(n2,n2)
& n15 = sum(n23,n18)
& n15 = sum(n21,n20)
& n22 = sum(n12,n10)
& n17 = sum(n10,n7)
& n0 = sum(n23,n3)
& n5 = sum(n5,n0)
& n21 = sum(n10,n11)
& n22 = sum(n6,n16)
& n7 != n19
& sK22 = sum(sum(pred(sK13),succ(sK13)),sum(pred(sK24),succ(sK24)))
& n0 != n6
& n19 = sum(n18,n1)
& n8 = sum(n14,n20)
& n21 = sum(n8,n13)
& sum(sum(pred(sK13),succ(sK24)),sum(pred(sK24),succ(sK13))) = sK31
& n15 != n23
& n6 = sum(n1,n5)
& n24 = sum(n7,n17)
& n10 != n13
& n15 != n19
& n15 = sum(n25,n16)
& n7 = sum(n15,n18)
& n24 = sum(n23,n1)
& n6 != n19
& n12 = sum(n1,n11)
& n13 = sum(n6,n7)
& n5 = sum(n24,n7)
& n5 = sum(n1,n4)
& n7 != n15
& n21 = sum(n12,n9)
& n25 = sum(n22,n3)
& n22 = sum(n20,n2)
& n9 != n10
& n14 = sum(n1,n13)
& n7 != n21
& n14 = sum(n24,n16)
& n22 = sum(n7,n15)
& n16 = sum(n17,n25)
& n20 = sum(n0,n20)
& n4 != n21
& n1 = sum(n23,n4)
& n19 = sum(n4,n15)
& n4 != n12
& n6 != n22
& n23 = sum(n12,n11)
& succ(n11) = n12
& n1 != n19
& n13 != n21
& n13 = sum(n12,n1)
& n7 = sum(n4,n3)
& n8 = sum(n10,n24)
& n8 = sum(n2,n6)
& n4 = sum(n13,n17)
& n11 = sum(n12,n25)
& n10 != n23
& n3 != n5
& n18 = sum(n19,n25)
& n17 = sum(n5,n12)
& n2 != n22
& n17 = sum(n0,n17)
& n2 != n18
& n5 = sum(n9,n22)
& n10 != n25
& n6 = sum(n12,n20)
& n16 = sum(n9,n7)
& n25 = sum(n9,n16)
& n17 = sum(n12,n5)
& n15 != n18
& n14 = sum(n22,n18)
& n1 != n17
& n4 != n23
& n6 = sum(n0,n6)
& n0 = sum(n11,n15)
& n12 = sum(n14,n24)
& n10 = sum(n20,n16)
& n0 != n23
& n3 = sum(n15,n14)
& n7 != n10
& n9 != n13
& n23 = sum(n3,n20)
& n4 != n22
& n22 = sum(n8,n14)
& n20 = sum(n14,n6)
& n0 != n20
& n24 = sum(n1,n23)
& n8 = sum(n5,n3)
& n0 = sum(n19,n7)
& n4 = sum(n10,n20)
& n0 != n9
& n16 != n23
& n1 != n8
& n10 = sum(n6,n4)
& sK15 = sum(sum(pred(sK31),succ(sK22)),sum(pred(sK22),succ(sK31)))
& n2 != n10
& n1 = sum(n25,n2)
& n25 = sum(n8,n17)
& n16 != n17
& n18 = sum(n2,n16)
& n13 != n18
& n15 != n22
& n10 != n22
& n17 = sum(n15,n2)
& n5 = sum(n19,n12)
& n23 = sum(n9,n14)
& n13 = sum(n4,n9)
& n3 != n9
& n1 != n6
& n4 != n25
& n10 = sum(n8,n2)
& n8 = sum(n11,n23)
& n15 = sum(n3,n12)
& n3 != n21
& n12 != n18
& n12 = sum(n12,n0)
& n7 != n17
& n14 = sum(n10,n4)
& n5 = sum(n3,n2)
& n6 != n24
& n5 = sum(n15,n16)
& n1 != n11
& n17 = sum(n18,n25)
& n8 = sum(n19,n15)
& succ(n18) = n19
& n21 = sum(n17,n4)
& sK48 = sum(sum(pred(sK38),succ(sK38)),sum(pred(sK20),succ(sK20)))
& n13 = sum(n23,n16)
& n8 != n15
& sum(sum(pred(sK27),succ(sK27)),sum(pred(sK51),succ(sK51))) = sK0
& n1 != n14
& n1 != n16
& n1 = sum(n1,n0)
& n17 = sum(n22,n21)
& n11 = sum(n13,n24)
& n15 = sum(n15,n0)
& n9 = sum(n3,n6)
& n2 != n19
& n9 = sum(n5,n4)
& n16 != n18
& n4 = sum(n14,n16)
& n24 = sum(n15,n9)
& n13 != n19
& n1 = sum(n24,n3)
& n16 != n20
& n21 = sum(n11,n10)
& n6 = sum(n13,n19)
& n14 = sum(n14,n0)
& n1 = sum(n3,n24)
& n13 = sum(n15,n24)
& n12 = sum(n3,n9)
& n0 != n15
& n9 = sum(n25,n10)
& n15 != n16
& n6 = sum(n15,n17)
& n11 = sum(n8,n3)
& n23 = sum(n7,n16)
& n9 = sum(n22,n13)
& n18 = sum(n1,n17)
& n4 = sum(n3,n1)
& n0 = sum(n9,n17)
& n18 = sum(n22,n22)
& n22 = sum(n10,n12)
& n10 != n15
& n23 = sum(n5,n18)
& n3 = sum(n5,n24)
& n6 != n11
& n24 = sum(n12,n12)
& n7 = sum(n8,n25)
& succ(n0) = n1
& n3 != n4
& n10 = sum(n11,n25)
& sK43 = sum(sum(pred(sK34),succ(sK34)),sum(pred(sK7),succ(sK7)))
& n18 = sum(n17,n1)
& n20 = sum(n10,n10)
& n18 = sum(n14,n4)
& n3 = sum(n22,n7)
& n12 != n19
& n22 = sum(n1,n21)
& n13 != n15
& n12 = sum(n11,n1)
& n5 = sum(n6,n25)
& n1 = sum(n21,n6)
& n5 = sum(n25,n6)
& n21 = sum(n0,n21)
& n12 != n17
& n14 = sum(n2,n12)
& n0 != n3
& n20 = sum(n3,n17)
& n5 != n11
& n20 = sum(n11,n9)
& n7 = pred(n8)
& n18 != n19
& n4 != n9
& n4 = sum(n7,n23)
& n0 = sum(n4,n22)
& n9 != n19
& n20 = sum(n21,n25)
& n20 = sum(n6,n14)
& n6 != n20
& n2 != n15
& succ(n21) = n22
& n14 = sum(n17,n23)
& n5 = sum(n2,n3)
& n10 != n16
& n8 != n21
& n12 != n15
& n20 = sum(n17,n3)
& n11 = sum(n20,n17)
& n20 != n21
& n16 = sum(n21,n21)
& n19 = sum(n10,n9)
& n2 != n23
& n15 = sum(n18,n23)
& n11 = sum(n1,n10)
& n19 = sum(n14,n5)
& succ(n13) = n14
& n25 = sum(n25,n0)
& n14 = sum(n19,n21)
& n9 != n17
& n18 = sum(n3,n15)
& n11 != n22
& n3 = sum(n19,n10)
& n18 != n23
& n5 != n20
& n7 = sum(n6,n1)
& n19 = sum(n6,n13)
& n25 = sum(n4,n21)
& n15 = sum(n1,n14)
& succ(n19) = n20
& n25 = sum(n24,n1)
& n5 = pred(n6)
& n12 = sum(n13,n25)
& n10 != n11
& n17 = sum(n3,n14)
& n17 = sum(n20,n23)
& n21 = sum(n9,n12)
& sum(sum(pred(sK30),succ(sK30)),sum(pred(sK10),succ(sK10))) = sK14
& n1 = sum(n17,n10)
& n20 = sum(n7,n13)
& n13 = sum(n16,n23)
& succ(n23) = n24
& n1 = sum(n18,n9)
& n7 != n9
& n15 != n20
& n8 = sum(n8,n0)
& n6 != n7
& n6 = sum(n22,n10)
& n25 = sum(n1,n24)
& n8 = sum(n22,n12)
& n3 != n19
& n9 = sum(n7,n2)
& n24 = sum(n0,n24)
& n8 != n13
& n11 = sum(n24,n13)
& succ(n5) = n6
& n11 != n23
& n16 != n25
& n8 = sum(n9,n25)
& n22 != n24
& n8 = sum(n1,n7)
& n2 != n11
& n16 = sum(n13,n3)
& n10 = sum(n21,n15)
& n10 = sum(n17,n19)
& n0 = sum(n0,n0)
& n6 = sum(n24,n8)
& n11 = sum(n14,n23)
& n19 != n24
& n21 = sum(n13,n8)
& n7 = sum(n21,n12)
& n7 != n16
& n17 != n22
& sK2 = sum(sum(pred(sK21),succ(sK21)),sum(pred(sK1),succ(sK1)))
& n1 = sum(n6,n21)
& succ(n24) = n25
& n5 = sum(n13,n18)
& n2 = sum(n12,n16)
& n19 != n23
& n3 = sum(n1,n2)
& n6 = sum(n8,n24)
& n18 != n21
& n21 = sum(n23,n24)
& n19 = sum(n12,n7)
& n3 = sum(n0,n3)
& n3 = sum(n23,n6)
& n14 = sum(n11,n3)
& n25 = pred(n0)
& n22 = sum(n22,n0)
& n25 = sum(n12,n13)
& n25 = sum(n15,n10)
& n3 != n23
& n18 = sum(n11,n7)
& n18 = sum(n10,n8)
& n9 = sum(n10,n25)
& n0 = sum(n18,n8)
& n7 != n25
& n15 = sum(n22,n19)
& n14 = sum(n25,n15)
& n14 = sum(n12,n2)
& n5 != n23
& n13 != n20
& n25 = sum(n23,n2)
& n4 = sum(n9,n21)
& n4 != n11
& n0 != n13
& n19 = sum(n15,n4)
& n6 = sum(n7,n25)
& n22 = sum(n21,n1)
& n24 = sum(n18,n6)
& n0 = sum(n17,n9)
& n7 != n24
& n4 = sum(n4,n0)
& n1 = sum(n14,n13)
& n5 = sum(n23,n8)
& n15 != n17
& n24 = sum(n21,n3)
& n12 = sum(n5,n7)
& n25 = sum(n20,n5)
& n10 != n24
& n13 = sum(n17,n22)
& n2 != n16
& n8 = sum(n23,n11)
& n4 = sum(n19,n11)
& n0 = sum(n10,n16)
& n17 != n18
& n5 = sum(n7,n24)
& sK20 = sum(sum(pred(sK42),succ(sK42)),sum(pred(sK14),succ(sK14)))
& n11 = sum(n3,n8)
& n7 != n14
& n1 = sum(n22,n5)
& n18 = sum(n23,n21)
& n17 = sum(n23,n20)
& n13 != n24
& n19 = sum(n5,n14)
& n7 = sum(n24,n9)
& n6 = sum(n18,n14)
& n22 = sum(n15,n7)
& n10 != n14
& n6 != n14
& n17 = sum(n19,n24)
& n3 != n14
& n3 != n13
& n1 = sum(n8,n19)
& n19 = sum(n21,n24)
& n17 = sum(n4,n13)
& n14 = sum(n0,n14)
& n21 != n22
& n7 != n22
& n0 = sum(n20,n6)
& n2 = sum(n0,n2)
& n8 != n19
& n16 != n21
& n20 = sum(n8,n12)
& n5 = sum(n8,n23)
& n22 = sum(n16,n6)
& n11 != n24
& n16 != n22
& n15 = sum(n5,n10)
& n5 != n12
& n0 = pred(n1)
& n1 != n7
& n4 != n14
& n18 = sum(n12,n6)
& n18 = sum(n5,n13)
& n7 != n20
& n24 = sum(n17,n7)
& n8 = sum(n15,n19)
& n2 != n21
& n16 = sum(n0,n16)
& n14 != n23
& n2 = sum(n24,n4)
& sK9 = sum(sum(pred(sK31),succ(sK31)),sum(pred(sK22),succ(sK22)))
& n9 != n21
& succ(n17) = n18
& ( sK42 != sK14
| sK37 != sK26
| sK9 != sK15
| sK24 != sK13
| sK48 != sK23
| sK41 != sK49
| sK22 != sK31
| sK8 != sK47
| sK28 != sK50
| sK19 != sK29
| sK25 != sK16
| sK18 != sK2
| sK0 != sK46
| sK1 != sK21
| sK45 != sK35
| sK17 != sK6
| sK32 != sK36
| sK44 != sK33
| sK4 != sK43
| sK11 != sK39
| sK40 != sK5
| sK51 != sK27
| sK20 != sK38
| sK34 != sK7
| sK3 != sK12 )
& n4 != n7
& n8 = sum(n0,n8)
& n3 != n25
& n8 = sum(n21,n13)
& n2 != n20
& succ(n16) = n17
& n8 = sum(n6,n2)
& sK33 = sum(sum(pred(sK12),succ(sK12)),sum(pred(sK3),succ(sK3)))
& sum(sum(pred(sK12),succ(sK3)),sum(pred(sK3),succ(sK12))) = sK44
& n9 = sum(n11,n24)
& n2 != n6
& n21 = sum(n16,n5)
& n6 = sum(n2,n4)
& n22 = sum(n23,n25)
& n23 = sum(n15,n8)
& n15 = sum(n19,n22)
& n3 = sum(n20,n9)
& n10 != n12
& n21 = pred(n22)
& n2 != n25
& n6 != n18
& succ(n9) = n10
& n16 = sum(n2,n14)
& n12 = sum(n23,n15)
& n16 = sum(n22,n20)
& n19 = sum(n0,n19)
& n19 = sum(n7,n12)
& n14 != n20
& n12 != n24
& n18 = sum(n24,n20)
& n6 = sum(n5,n1)
& n10 = sum(n19,n17)
& n17 = sum(n21,n22)
& n8 != n16
& n15 = sum(n12,n3)
& n7 = sum(n18,n15)
& n24 = sum(n19,n5)
& n23 = sum(n21,n2)
& n12 = sum(n24,n14)
& succ(n3) = n4
& n1 != n22
& n4 = sum(n22,n8)
& n7 = sum(n1,n6)
& n20 = sum(n24,n22)
& n0 != n1
& n2 != n24
& succ(n4) = n5
& n11 != n17
& n17 = sum(n13,n4)
& n9 = pred(n10)
& n22 = sum(n9,n13)
& n21 = sum(n2,n19)
& n6 = sum(n6,n0)
& n16 = sum(n20,n22)
& sK17 = sum(sum(pred(sK18),succ(sK2)),sum(pred(sK2),succ(sK18)))
& n18 = sum(n9,n9)
& n19 = sum(n9,n10)
& n9 = sum(n16,n19)
& n7 = sum(n19,n14)
& n0 != n25
& n0 != n17
& n5 = sum(n14,n17)
& n10 = sum(n23,n13)
& n0 = sum(n3,n23)
& n24 = pred(n25)
& n3 = sum(n2,n1)
& n22 = sum(n24,n24)
& n18 = sum(n8,n10)
& n2 != n13
& sK34 = sum(sum(pred(sK41),succ(sK49)),sum(pred(sK49),succ(sK41)))
& n3 != n11
& sum(sum(pred(sK19),succ(sK29)),sum(pred(sK29),succ(sK19))) = sK12
& n9 = sum(n15,n20)
& n16 = sum(n4,n12)
& n16 = sum(n3,n13)
& n4 = sum(n24,n6)
& n0 != n18
& n6 = sum(n4,n2)
& n5 != n18
& n9 = sum(n21,n14)
& n5 != n7
& n15 = sum(n24,n17)
& n9 = sum(n8,n1)
& succ(n20) = n21
& n16 = sum(n24,n18)
& n19 = sum(n24,n21)
& n10 = sum(n0,n10)
& n15 = sum(n9,n6)
& n9 = sum(n24,n11)
& n20 = sum(n15,n5)
& n12 = sum(n8,n4)
& n12 = sum(n22,n16)
& n6 = sum(n21,n11)
& n4 = sum(n11,n19)
& n7 = sum(n23,n10)
& n12 = sum(n15,n23)
& n0 = sum(n12,n14)
& n17 = sum(n11,n6)
& n21 = sum(n20,n1)
& n12 = sum(n18,n20)
& n14 != n19
& n2 != n12
& n24 = sum(n14,n10)
& n0 != n12
& n12 != n23
& n19 != n21
& n21 = sum(n22,n25)
& n1 != n18
& n1 = pred(n2)
& n16 = sum(n14,n2)
& sK28 = sum(sum(pred(sK46),succ(sK46)),sum(pred(sK0),succ(sK0)))
& n10 != n21
& n21 = sum(n7,n14)
& n0 = sum(n13,n13)
& n4 = sum(n21,n9)
& n15 != n21
& n0 != n7
& n24 = sum(n8,n16)
& n2 = sum(n21,n7)
& n16 = sum(n19,n23)
& sK4 = sum(sum(pred(sK34),succ(sK7)),sum(pred(sK7),succ(sK34)))
& n2 = sum(n7,n21)
& sum(sum(pred(sK18),succ(sK18)),sum(pred(sK2),succ(sK2))) = sK6
& n14 != n18
& n21 = sum(n21,n0)
& n0 != n21
& n23 = sum(n10,n13)
& n11 = sum(n10,n1)
& n14 = sum(n5,n9)
& n1 = sum(n19,n8)
& n3 = sum(n17,n12)
& n6 != n15
& n12 = sum(n16,n22)
& n19 != n22
& sum(sum(pred(sK41),succ(sK41)),sum(pred(sK49),succ(sK49))) = sK7
& n6 != n25
& n15 = sum(n20,n21)
& n15 = pred(n16)
& n2 = sum(n22,n6)
& n19 = sum(n25,n20)
& n4 != n8
& n4 = sum(n23,n7)
& n14 != n15
& n17 = sum(n17,n0)
& n6 = sum(n3,n3)
& n20 = sum(n9,n11)
& n11 = sum(n22,n15)
& n4 != n20
& succ(n10) = n11
& n4 != n24
& n18 = sum(n6,n12)
& n0 = sum(n1,n25)
& n0 != n4
& n12 != n22
& n11 = sum(n21,n16)
& n14 != n17
& n11 = sum(n0,n11)
& n2 = sum(n20,n8)
& n18 = sum(n13,n5)
& n8 = sum(n13,n21)
& n14 = sum(n20,n20)
& n3 != n24
& n12 = sum(n0,n12)
& n7 = sum(n10,n23)
& n23 = sum(n13,n10)
& n12 = pred(n13)
& n19 = sum(n19,n0)
& n23 = sum(n25,n24)
& n5 = sum(n12,n19)
& n15 = sum(n10,n5)
& n11 = sum(n17,n20)
& n20 = sum(n18,n2)
& n11 = sum(n6,n5)
& n1 != n21
& n12 = sum(n25,n13)
& n13 = sum(n24,n15)
& n8 = sum(n3,n5)
& n2 = sum(n16,n12)
& n20 != n23
& n11 = sum(n5,n6)
& n22 = sum(n3,n19)
& n13 = sum(n14,n25)
& n11 = sum(n11,n0)
& n9 = sum(n17,n18)
& n9 = sum(n4,n5)
& n17 != n25
& n14 = sum(n9,n5)
& n22 = sum(n11,n11)
& n0 != n16
& n9 = sum(n9,n0)
& sK42 = sum(sum(pred(sK30),succ(sK10)),sum(pred(sK10),succ(sK30)))
& n20 != n22
& n1 != n3
& n7 = sum(n14,n19)
& n15 = sum(n11,n4)
& n23 = sum(n2,n21)
& n6 != n17
& n0 = sum(n8,n18)
& n0 != n10
& n24 = sum(n9,n15)
& n6 != n9
& n16 = sum(n23,n19)
& n11 = sum(n7,n4)
& n19 = sum(n11,n8)
& n0 != n14
& n1 != n4
& n9 != n25
& n0 = succ(n25)
& n25 = sum(n2,n23)
& n0 = sum(n15,n11)
& n22 = sum(n0,n22)
& n13 = sum(n11,n2)
& n4 = sum(n12,n18)
& n18 = sum(n0,n18)
& n4 = sum(n18,n12)
& n20 = pred(n21)
& n17 = sum(n1,n16)
& succ(n12) = n13
& n12 = sum(n19,n19)
& n12 != n13
& n3 != n18
& n6 = sum(n25,n7)
& n21 = sum(n24,n23)
& n8 = pred(n9)
& n13 = sum(n8,n5)
& n2 = sum(n4,n24)
& n13 = sum(n19,n20)
& n5 != n19
& n3 != n17
& n5 != n8
& sum(sum(pred(sK50),succ(sK28)),sum(pred(sK28),succ(sK50))) = sK13
& n7 = sum(n20,n13)
& n10 = sum(n16,n20)
& n18 = sum(n7,n11)
& n0 != n8
& n20 != n24
& n21 = sum(n5,n16)
& n20 = sum(n22,n24)
& n22 = sum(n13,n9)
& n13 = pred(n14)
& n5 = sum(n16,n15)
& n1 = sum(n20,n7)
& n23 = sum(n6,n17)
& n7 = sum(n7,n0)
& n4 = sum(n5,n25)
& n3 = sum(n6,n23)
& n21 = sum(n14,n7)
& n1 = sum(n10,n17)
& n2 = sum(n6,n22)
& sum(sum(pred(sK27),succ(sK51)),sum(pred(sK51),succ(sK27))) = sK46
& n1 = sum(n5,n22)
& n14 = sum(n18,n22)
& n5 != n6
& n21 = sum(n1,n20)
& sum(sum(pred(sK39),succ(sK39)),sum(pred(sK11),succ(sK11))) = sK35
& n11 != n15
& n0 = sum(n16,n10)
& n22 = sum(n25,n23)
& n14 != n22
& n2 = sum(n19,n9)
& n15 = sum(n13,n2)
& n17 != n24
& n7 = sum(n3,n4)
& n8 != n10
& n6 != n10
& n25 = sum(n3,n22)
& n14 != n24
& n9 = sum(n18,n17)
& n25 = sum(n6,n19)
& n15 = sum(n14,n1)
& n14 = sum(n23,n17)
& n11 != n13
& n11 = sum(n4,n7)
& n21 = sum(n4,n17)
& n2 != n17
& n14 = sum(n15,n25)
& n25 = sum(n11,n14)
& n2 = sum(n11,n17)
& sK24 = sum(sum(pred(sK50),succ(sK50)),sum(pred(sK28),succ(sK28)))
& n13 != n22
& n6 = sum(n17,n15)
& n6 = sum(n11,n21)
& n18 = pred(n19)
& n12 = sum(n21,n17)
& n8 = sum(n18,n16)
& n16 = sum(n11,n5)
& n1 = sum(n7,n20)
& n15 = sum(n8,n7)
& n1 != n5
& sum(sum(pred(sK40),succ(sK5)),sum(pred(sK5),succ(sK40))) = sK36
& n12 != n20
& n17 = sum(n7,n10)
& ( n13 = sK10
| n5 = sK10
| n9 = sK10
| n15 = sK10
| n12 = sK10
| n8 = sK10
| n7 = sK10
| n19 = sK10
| n24 = sK10
| n0 = sK10
| n14 = sK10
| n20 = sK10
| n11 = sK10
| n18 = sK10
| n6 = sK10
| n10 = sK10
| n21 = sK10
| n25 = sK10
| n2 = sK10
| n23 = sK10
| n17 = sK10
| n16 = sK10
| n3 = sK10
| n1 = sK10
| n22 = sK10
| n4 = sK10 )
& n22 = pred(n23)
& n6 = sum(n19,n13)
& n4 != n17
& n14 = pred(n15)
& n3 != n22
& n13 = sum(n20,n19)
& n23 = sum(n19,n4)
& n3 = sum(n7,n22)
& n1 != n23
& n13 != n17
& n8 = sum(n12,n22)
& n7 = sum(n25,n8)
& n9 != n16
& n9 != n20
& n16 = sum(n8,n8)
& n3 = sum(n8,n21)
& n5 = sum(n22,n9)
& n13 = sum(n18,n21)
& n13 != n23
& n22 = sum(n19,n3)
& n3 != n8
& n9 != n24
& n18 != n25
& n2 = pred(n3)
& n5 != n25
& n7 = sum(n0,n7)
& n6 != n8
& n1 != n10
& sum(sum(pred(sK44),succ(sK44)),sum(pred(sK33),succ(sK33))) = sK37
& n22 = sum(n14,n8)
& n15 != n24
& n20 = sum(n19,n1)
& n16 = sum(n6,n10)
& n18 = sum(n15,n3)
& n16 = sum(n25,n17)
& n2 = sum(n14,n14)
& n1 = sum(n12,n15)
& n6 = sum(n23,n9)
& n10 = sum(n4,n6)
& n14 = sum(n4,n10)
& n25 = sum(n18,n7)
& n24 != n25
& n0 != n19
& n20 = sum(n4,n16)
& n9 != n12
& n21 = sum(n3,n18)
& n11 = sum(n16,n21)
& n13 = sum(n13,n0)
& n19 = sum(n2,n17)
& sK16 = sum(sum(pred(sK4),succ(sK4)),sum(pred(sK43),succ(sK43)))
& n14 = sum(n8,n6)
& n10 != n18
& n17 != n20
& n3 = sum(n9,n20)
& n25 = sum(n13,n12)
& n16 = sum(n12,n4)
& n20 = sum(n23,n23)
& n21 = sum(n15,n6)
& n17 = sum(n14,n3)
& n24 = sum(n4,n20)
& n19 = sum(n22,n23)
& n4 = sum(n16,n14)
& n24 = sum(n25,n25)
& n3 != n6
& n12 = sum(n10,n2)
& sK18 = sum(sum(pred(sK21),succ(sK1)),sum(pred(sK1),succ(sK21)))
& n7 = sum(n11,n22)
& n11 = sum(n9,n2)
& n2 != n14
& n15 = sum(n6,n9)
& n1 != n9
& succ(n14) = n15
& n23 != n25
& n1 != n2
& n5 = sum(n11,n20)
& n12 = sum(n4,n8)
& n13 = sum(n9,n4)
& n16 = sum(n7,n9)
& n0 = sum(n6,n20)
& n2 = sum(n18,n10)
& n9 = sum(n2,n7)
& n3 = sum(n11,n18)
& n4 != n19
& n3 = pred(n4)
& n1 != n12
& n3 = sum(n25,n4)
& n3 = sum(n4,n25)
& n11 != n16
& n9 != n15
& n17 = sum(n8,n9)
& n1 = sum(n16,n11)
& n2 != n3
& n19 = pred(n20)
& sum(sum(pred(sK19),succ(sK19)),sum(pred(sK29),succ(sK29))) = sK3
& sum(sum(pred(sK45),succ(sK45)),sum(pred(sK35),succ(sK35))) = sK29
& n9 = sum(n13,n22)
& n1 = sum(n0,n1)
& n1 != n15
& n3 != n20
& n5 = sum(n0,n5)
& n10 != n19
& n18 = sum(n4,n14)
& n10 = sum(n9,n1)
& n13 = sum(n7,n6)
& n20 = sum(n20,n0)
& n19 = sum(n23,n22)
& n7 = sum(n16,n17)
& n5 != n24
& n17 = sum(n9,n8)
& succ(n1) = n2
& n5 != n9
& n7 = sum(n12,n21)
& n19 = sum(n3,n16)
& n23 = sum(n8,n15)
& n18 = sum(n16,n2)
& n8 != n25
& n1 = sum(n13,n14)
& n0 = sum(n2,n24)
& n3 != n16
& n10 = sum(n18,n18)
& n0 != n24 ) ),
introduced(choice_axiom,[]) ).
fof(f3,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51] :
( sum(sum(pred(X23),succ(X48)),sum(pred(X48),succ(X23))) = X40
& n7 = sum(n2,n5)
& n10 = pred(n11)
& n14 = sum(n7,n7)
& n8 != n24
& n18 = sum(n18,n0)
& n0 = sum(n14,n12)
& n11 != n25
& n2 = sum(n25,n3)
& n20 = sum(n16,n4)
& n6 = sum(n9,n23)
& n10 = sum(n7,n3)
& n7 != n13
& n23 = sum(n24,n25)
& n4 = sum(n20,n10)
& n5 = sum(n10,n21)
& n9 != n22
& n8 != n12
& n7 != n12
& n2 != n7
& n10 = sum(n10,n0)
& n11 != n19
& n8 = sum(n17,n17)
& n23 = sum(n11,n12)
& n3 = sum(n13,n16)
& n25 = sum(n0,n25)
& n15 = sum(n4,n11)
& n11 = sum(n15,n22)
& n23 = pred(n24)
& n2 != n5
& n22 = sum(n2,n20)
& n23 = sum(n22,n1)
& n21 != n24
& n5 != n13
& n13 != n16
& n2 != n8
& n10 = sum(n22,n14)
& n23 = sum(n14,n9)
& n9 = sum(n20,n15)
& n4 != n6
& n12 = sum(n7,n5)
& n11 != n14
& n24 = sum(n20,n4)
& n6 = sum(n14,n18)
& n25 = sum(n19,n6)
& n0 != n5
& n8 = sum(n24,n10)
& n15 = sum(n7,n8)
& n5 != n10
& n13 != n14
& n8 != n22
& n22 != n25
& n18 = sum(n20,n24)
& n6 != n21
& sum(sum(pred(X44),succ(X33)),sum(pred(X33),succ(X44))) = X26
& n7 != n18
& n0 = sum(n25,n1)
& n8 != n18
& n1 != n13
& n3 = sum(n21,n8)
& succ(n6) = n7
& n19 = sum(n16,n3)
& n0 = sum(n24,n2)
& n20 = sum(n13,n7)
& n21 = sum(n6,n15)
& n25 = sum(n17,n8)
& n9 = sum(n1,n8)
& n19 = sum(n8,n11)
& n17 != n19
& n23 = sum(n0,n23)
& sum(sum(pred(X45),succ(X35)),sum(pred(X35),succ(X45))) = X19
& n15 = sum(n17,n24)
& n0 = sum(n21,n5)
& n1 = sum(n11,n16)
& n1 = sum(n4,n23)
& n8 != n23
& n10 = sum(n24,n12)
& n25 = sum(n5,n20)
& n5 = sum(n20,n11)
& n14 = sum(n13,n1)
& n12 != n16
& n6 = sum(n10,n22)
& n25 = sum(n10,n15)
& n8 = sum(n20,n14)
& n13 = sum(n21,n18)
& n22 = sum(n5,n17)
& n5 != n22
& n12 != n14
& n20 = sum(n5,n15)
& n14 != n25
& n0 = sum(n22,n4)
& n13 = sum(n5,n8)
& n10 != n20
& n2 != n9
& n11 != n20
& n10 = sum(n25,n11)
& n16 = sum(n18,n24)
& sum(sum(pred(X46),succ(X0)),sum(pred(X0),succ(X46))) = X50
& n21 != n23
& n16 = sum(n5,n11)
& n24 = sum(n22,n2)
& n3 = sum(n10,n19)
& n3 = sum(n18,n11)
& n10 = sum(n1,n9)
& n16 = sum(n16,n0)
& n20 = sum(n2,n18)
& n5 != n17
& n5 != n14
& n18 != n22
& n15 = sum(n2,n13)
& n13 = sum(n22,n17)
& n10 = sum(n15,n21)
& n3 = sum(n24,n5)
& n23 = sum(n4,n19)
& succ(n8) = n9
& n8 = sum(n16,n18)
& ( n19 = X30
| n14 = X30
| n20 = X30
| n21 = X30
| n18 = X30
| n4 = X30
| n17 = X30
| n23 = X30
| n3 = X30
| n25 = X30
| n1 = X30
| n9 = X30
| n5 = X30
| n6 = X30
| n2 = X30
| n0 = X30
| n11 = X30
| n8 = X30
| n13 = X30
| n10 = X30
| n22 = X30
| n7 = X30
| n24 = X30
| n15 = X30
| n12 = X30
| n16 = X30 )
& n4 != n15
& n24 = sum(n5,n19)
& n20 = sum(n12,n8)
& n13 = sum(n2,n11)
& n7 != n23
& n0 != n2
& n4 != n18
& sum(sum(pred(X17),succ(X6)),sum(pred(X6),succ(X17))) = X8
& n17 = sum(n16,n1)
& n2 = sum(n3,n25)
& n8 != n9
& n10 != n17
& n20 = sum(n25,n21)
& n19 = sum(n20,n25)
& n5 != n15
& n9 = sum(n23,n12)
& n22 = sum(n4,n18)
& n16 = sum(n15,n1)
& n24 = sum(n24,n0)
& n8 = sum(n4,n4)
& n3 != n12
& n1 != n25
& n5 = sum(n21,n10)
& n11 = sum(n2,n9)
& n17 = sum(n25,n18)
& n3 = sum(n3,n0)
& n13 = sum(n3,n10)
& n12 = sum(n6,n6)
& n20 != n25
& n11 = sum(n23,n14)
& n8 != n20
& n11 = sum(n18,n19)
& n23 = sum(n20,n3)
& n7 = sum(n13,n20)
& n14 = sum(n21,n19)
& n4 = sum(n25,n5)
& n1 = sum(n9,n18)
& n2 = sum(n1,n1)
& n18 = sum(n21,n23)
& n10 = sum(n3,n7)
& n9 != n23
& n4 = sum(n1,n3)
& sum(sum(pred(X8),succ(X47)),sum(pred(X47),succ(X8))) = X27
& n23 = sum(n23,n0)
& succ(n2) = n3
& n16 = sum(n10,n6)
& n9 != n11
& n0 = sum(n7,n19)
& n23 = sum(n16,n7)
& n2 = sum(n8,n20)
& n23 = sum(n18,n5)
& n24 = sum(n16,n8)
& n15 = sum(n16,n25)
& n24 = sum(n3,n21)
& n12 = sum(n17,n21)
& n3 != n7
& n16 = sum(n1,n15)
& n15 != n25
& succ(n15) = n16
& n9 = sum(n14,n21)
& n2 = sum(n23,n5)
& n8 = sum(n25,n9)
& n8 != n17
& n17 = sum(n6,n11)
& n12 = sum(n2,n10)
& n4 = sum(n8,n22)
& n13 = sum(n10,n3)
& n11 != n21
& n19 = sum(n17,n2)
& n10 = sum(n12,n24)
& n20 = sum(n1,n19)
& n11 != n12
& n19 != n25
& n21 = sum(n18,n3)
& n21 != n25
& succ(n7) = n8
& n9 = sum(n19,n16)
& n19 != n20
& n24 = sum(n2,n22)
& n25 = sum(n16,n9)
& n2 = sum(n13,n15)
& n17 = sum(n2,n15)
& n8 = sum(n7,n1)
& n4 = sum(n15,n15)
& n7 != n8
& n5 != n21
& sum(sum(pred(X40),succ(X40)),sum(pred(X5),succ(X5))) = X32
& n4 = sum(n0,n4)
& n1 != n24
& n8 != n11
& n18 != n20
& n5 = sum(n17,n14)
& n24 = sum(n10,n14)
& n19 = sum(n1,n18)
& n23 = sum(n1,n22)
& sum(sum(pred(X15),succ(X15)),sum(pred(X9),succ(X9))) = X11
& n5 = sum(n18,n13)
& n25 = sum(n21,n4)
& n2 = sum(n17,n11)
& sum(sum(pred(X36),succ(X36)),sum(pred(X32),succ(X32))) = X49
& n23 != n24
& n8 != n14
& n23 = sum(n17,n6)
& n12 = sum(n20,n18)
& n4 = pred(n5)
& n13 != n25
& n12 != n25
& n15 = sum(n0,n15)
& n13 = sum(n1,n12)
& n17 = sum(n24,n19)
& n6 = pred(n7)
& n19 = sum(n13,n6)
& sum(sum(pred(X4),succ(X43)),sum(pred(X43),succ(X4))) = X25
& n14 != n16
& n2 = sum(n15,n13)
& n10 = sum(n14,n22)
& n6 != n23
& n4 = sum(n6,n24)
& succ(n22) = n23
& n5 = sum(n4,n1)
& n10 = sum(n2,n8)
& sum(sum(pred(X17),succ(X17)),sum(pred(X6),succ(X6))) = X47
& n14 = sum(n6,n8)
& n21 = sum(n19,n2)
& n16 = pred(n17)
& n7 = sum(n5,n2)
& n2 = sum(n9,n19)
& n14 = sum(n16,n24)
& sum(sum(pred(X42),succ(X14)),sum(pred(X14),succ(X42))) = X38
& n4 != n13
& n9 != n14
& n6 = sum(n16,n16)
& n7 != n11
& n14 = sum(n3,n11)
& n3 = sum(n12,n17)
& n6 != n16
& n9 = sum(n0,n9)
& sum(sum(pred(X36),succ(X32)),sum(pred(X32),succ(X36))) = X41
& sum(sum(pred(X25),succ(X16)),sum(pred(X16),succ(X25))) = X21
& n11 = sum(n25,n12)
& n13 = sum(n25,n14)
& n3 != n10
& n10 = sum(n5,n5)
& n1 = sum(n15,n12)
& n2 = sum(n2,n0)
& n7 = sum(n17,n16)
& sum(sum(pred(X8),succ(X8)),sum(pred(X47),succ(X47))) = X51
& sum(sum(pred(X23),succ(X23)),sum(pred(X48),succ(X48))) = X5
& n0 = sum(n5,n21)
& n21 = sum(n25,n22)
& n3 = sum(n16,n13)
& n4 != n10
& n1 = sum(n2,n25)
& n25 = sum(n14,n11)
& n13 = sum(n0,n13)
& n12 = sum(n9,n3)
& n6 != n13
& n16 != n19
& n16 != n24
& n11 != n18
& n17 != n21
& n6 != n12
& n11 = sum(n19,n18)
& n10 = sum(n13,n23)
& n4 != n5
& n22 != n23
& n22 = sum(n18,n4)
& n5 != n16
& n18 = sum(n25,n19)
& n6 = sum(n20,n12)
& n1 != n20
& n3 != n15
& n22 = sum(n17,n5)
& n2 != n4
& n17 != n23
& n9 != n18
& n4 != n16
& n9 = sum(n6,n3)
& n18 != n24
& n24 = sum(n13,n11)
& n11 = pred(n12)
& n12 != n21
& n24 = sum(n6,n18)
& n7 = sum(n9,n24)
& n3 = sum(n14,n15)
& sum(sum(pred(X38),succ(X20)),sum(pred(X20),succ(X38))) = X23
& n2 = sum(n10,n18)
& sum(sum(pred(X39),succ(X11)),sum(pred(X11),succ(X39))) = X45
& n7 = sum(n22,n11)
& n17 = pred(n18)
& n4 = sum(n17,n13)
& n0 != n11
& n2 = sum(n5,n23)
& n14 != n21
& n25 = sum(n7,n18)
& n0 != n22
& n24 = sum(n11,n13)
& sum(sum(pred(X15),succ(X9)),sum(pred(X9),succ(X15))) = X39
& sum(sum(pred(X25),succ(X25)),sum(pred(X16),succ(X16))) = X1
& n9 = sum(n12,n23)
& n4 = sum(n2,n2)
& n15 = sum(n23,n18)
& n15 = sum(n21,n20)
& n22 = sum(n12,n10)
& n17 = sum(n10,n7)
& n0 = sum(n23,n3)
& n5 = sum(n5,n0)
& n21 = sum(n10,n11)
& n22 = sum(n6,n16)
& n7 != n19
& sum(sum(pred(X13),succ(X13)),sum(pred(X24),succ(X24))) = X22
& n0 != n6
& n19 = sum(n18,n1)
& n8 = sum(n14,n20)
& n21 = sum(n8,n13)
& sum(sum(pred(X13),succ(X24)),sum(pred(X24),succ(X13))) = X31
& n15 != n23
& n6 = sum(n1,n5)
& n24 = sum(n7,n17)
& n10 != n13
& n15 != n19
& n15 = sum(n25,n16)
& n7 = sum(n15,n18)
& n24 = sum(n23,n1)
& n6 != n19
& n12 = sum(n1,n11)
& n13 = sum(n6,n7)
& n5 = sum(n24,n7)
& n5 = sum(n1,n4)
& n7 != n15
& n21 = sum(n12,n9)
& n25 = sum(n22,n3)
& n22 = sum(n20,n2)
& n9 != n10
& n14 = sum(n1,n13)
& n7 != n21
& n14 = sum(n24,n16)
& n22 = sum(n7,n15)
& n16 = sum(n17,n25)
& n20 = sum(n0,n20)
& n4 != n21
& n1 = sum(n23,n4)
& n19 = sum(n4,n15)
& n4 != n12
& n6 != n22
& n23 = sum(n12,n11)
& succ(n11) = n12
& n1 != n19
& n13 != n21
& n13 = sum(n12,n1)
& n7 = sum(n4,n3)
& n8 = sum(n10,n24)
& n8 = sum(n2,n6)
& n4 = sum(n13,n17)
& n11 = sum(n12,n25)
& n10 != n23
& n3 != n5
& n18 = sum(n19,n25)
& n17 = sum(n5,n12)
& n2 != n22
& n17 = sum(n0,n17)
& n2 != n18
& n5 = sum(n9,n22)
& n10 != n25
& n6 = sum(n12,n20)
& n16 = sum(n9,n7)
& n25 = sum(n9,n16)
& n17 = sum(n12,n5)
& n15 != n18
& n14 = sum(n22,n18)
& n1 != n17
& n4 != n23
& n6 = sum(n0,n6)
& n0 = sum(n11,n15)
& n12 = sum(n14,n24)
& n10 = sum(n20,n16)
& n0 != n23
& n3 = sum(n15,n14)
& n7 != n10
& n9 != n13
& n23 = sum(n3,n20)
& n4 != n22
& n22 = sum(n8,n14)
& n20 = sum(n14,n6)
& n0 != n20
& n24 = sum(n1,n23)
& n8 = sum(n5,n3)
& n0 = sum(n19,n7)
& n4 = sum(n10,n20)
& n0 != n9
& n16 != n23
& n1 != n8
& n10 = sum(n6,n4)
& sum(sum(pred(X31),succ(X22)),sum(pred(X22),succ(X31))) = X15
& n2 != n10
& n1 = sum(n25,n2)
& n25 = sum(n8,n17)
& n16 != n17
& n18 = sum(n2,n16)
& n13 != n18
& n15 != n22
& n10 != n22
& n17 = sum(n15,n2)
& n5 = sum(n19,n12)
& n23 = sum(n9,n14)
& n13 = sum(n4,n9)
& n3 != n9
& n1 != n6
& n4 != n25
& n10 = sum(n8,n2)
& n8 = sum(n11,n23)
& n15 = sum(n3,n12)
& n3 != n21
& n12 != n18
& n12 = sum(n12,n0)
& n7 != n17
& n14 = sum(n10,n4)
& n5 = sum(n3,n2)
& n6 != n24
& n5 = sum(n15,n16)
& n1 != n11
& n17 = sum(n18,n25)
& n8 = sum(n19,n15)
& succ(n18) = n19
& n21 = sum(n17,n4)
& sum(sum(pred(X38),succ(X38)),sum(pred(X20),succ(X20))) = X48
& n13 = sum(n23,n16)
& n8 != n15
& sum(sum(pred(X27),succ(X27)),sum(pred(X51),succ(X51))) = X0
& n1 != n14
& n1 != n16
& n1 = sum(n1,n0)
& n17 = sum(n22,n21)
& n11 = sum(n13,n24)
& n15 = sum(n15,n0)
& n9 = sum(n3,n6)
& n2 != n19
& n9 = sum(n5,n4)
& n16 != n18
& n4 = sum(n14,n16)
& n24 = sum(n15,n9)
& n13 != n19
& n1 = sum(n24,n3)
& n16 != n20
& n21 = sum(n11,n10)
& n6 = sum(n13,n19)
& n14 = sum(n14,n0)
& n1 = sum(n3,n24)
& n13 = sum(n15,n24)
& n12 = sum(n3,n9)
& n0 != n15
& n9 = sum(n25,n10)
& n15 != n16
& n6 = sum(n15,n17)
& n11 = sum(n8,n3)
& n23 = sum(n7,n16)
& n9 = sum(n22,n13)
& n18 = sum(n1,n17)
& n4 = sum(n3,n1)
& n0 = sum(n9,n17)
& n18 = sum(n22,n22)
& n22 = sum(n10,n12)
& n10 != n15
& n23 = sum(n5,n18)
& n3 = sum(n5,n24)
& n6 != n11
& n24 = sum(n12,n12)
& n7 = sum(n8,n25)
& succ(n0) = n1
& n3 != n4
& n10 = sum(n11,n25)
& sum(sum(pred(X34),succ(X34)),sum(pred(X7),succ(X7))) = X43
& n18 = sum(n17,n1)
& n20 = sum(n10,n10)
& n18 = sum(n14,n4)
& n3 = sum(n22,n7)
& n12 != n19
& n22 = sum(n1,n21)
& n13 != n15
& n12 = sum(n11,n1)
& n5 = sum(n6,n25)
& n1 = sum(n21,n6)
& n5 = sum(n25,n6)
& n21 = sum(n0,n21)
& n12 != n17
& n14 = sum(n2,n12)
& n0 != n3
& n20 = sum(n3,n17)
& n5 != n11
& n20 = sum(n11,n9)
& n7 = pred(n8)
& n18 != n19
& n4 != n9
& n4 = sum(n7,n23)
& n0 = sum(n4,n22)
& n9 != n19
& n20 = sum(n21,n25)
& n20 = sum(n6,n14)
& n6 != n20
& n2 != n15
& succ(n21) = n22
& n14 = sum(n17,n23)
& n5 = sum(n2,n3)
& n10 != n16
& n8 != n21
& n12 != n15
& n20 = sum(n17,n3)
& n11 = sum(n20,n17)
& n20 != n21
& n16 = sum(n21,n21)
& n19 = sum(n10,n9)
& n2 != n23
& n15 = sum(n18,n23)
& n11 = sum(n1,n10)
& n19 = sum(n14,n5)
& succ(n13) = n14
& n25 = sum(n25,n0)
& n14 = sum(n19,n21)
& n9 != n17
& n18 = sum(n3,n15)
& n11 != n22
& n3 = sum(n19,n10)
& n18 != n23
& n5 != n20
& n7 = sum(n6,n1)
& n19 = sum(n6,n13)
& n25 = sum(n4,n21)
& n15 = sum(n1,n14)
& succ(n19) = n20
& n25 = sum(n24,n1)
& n5 = pred(n6)
& n12 = sum(n13,n25)
& n10 != n11
& n17 = sum(n3,n14)
& n17 = sum(n20,n23)
& n21 = sum(n9,n12)
& sum(sum(pred(X30),succ(X30)),sum(pred(X10),succ(X10))) = X14
& n1 = sum(n17,n10)
& n20 = sum(n7,n13)
& n13 = sum(n16,n23)
& succ(n23) = n24
& n1 = sum(n18,n9)
& n7 != n9
& n15 != n20
& n8 = sum(n8,n0)
& n6 != n7
& n6 = sum(n22,n10)
& n25 = sum(n1,n24)
& n8 = sum(n22,n12)
& n3 != n19
& n9 = sum(n7,n2)
& n24 = sum(n0,n24)
& n8 != n13
& n11 = sum(n24,n13)
& succ(n5) = n6
& n11 != n23
& n16 != n25
& n8 = sum(n9,n25)
& n22 != n24
& n8 = sum(n1,n7)
& n2 != n11
& n16 = sum(n13,n3)
& n10 = sum(n21,n15)
& n10 = sum(n17,n19)
& n0 = sum(n0,n0)
& n6 = sum(n24,n8)
& n11 = sum(n14,n23)
& n19 != n24
& n21 = sum(n13,n8)
& n7 = sum(n21,n12)
& n7 != n16
& n17 != n22
& sum(sum(pred(X21),succ(X21)),sum(pred(X1),succ(X1))) = X2
& n1 = sum(n6,n21)
& succ(n24) = n25
& n5 = sum(n13,n18)
& n2 = sum(n12,n16)
& n19 != n23
& n3 = sum(n1,n2)
& n6 = sum(n8,n24)
& n18 != n21
& n21 = sum(n23,n24)
& n19 = sum(n12,n7)
& n3 = sum(n0,n3)
& n3 = sum(n23,n6)
& n14 = sum(n11,n3)
& n25 = pred(n0)
& n22 = sum(n22,n0)
& n25 = sum(n12,n13)
& n25 = sum(n15,n10)
& n3 != n23
& n18 = sum(n11,n7)
& n18 = sum(n10,n8)
& n9 = sum(n10,n25)
& n0 = sum(n18,n8)
& n7 != n25
& n15 = sum(n22,n19)
& n14 = sum(n25,n15)
& n14 = sum(n12,n2)
& n5 != n23
& n13 != n20
& n25 = sum(n23,n2)
& n4 = sum(n9,n21)
& n4 != n11
& n0 != n13
& n19 = sum(n15,n4)
& n6 = sum(n7,n25)
& n22 = sum(n21,n1)
& n24 = sum(n18,n6)
& n0 = sum(n17,n9)
& n7 != n24
& n4 = sum(n4,n0)
& n1 = sum(n14,n13)
& n5 = sum(n23,n8)
& n15 != n17
& n24 = sum(n21,n3)
& n12 = sum(n5,n7)
& n25 = sum(n20,n5)
& n10 != n24
& n13 = sum(n17,n22)
& n2 != n16
& n8 = sum(n23,n11)
& n4 = sum(n19,n11)
& n0 = sum(n10,n16)
& n17 != n18
& n5 = sum(n7,n24)
& sum(sum(pred(X42),succ(X42)),sum(pred(X14),succ(X14))) = X20
& n11 = sum(n3,n8)
& n7 != n14
& n1 = sum(n22,n5)
& n18 = sum(n23,n21)
& n17 = sum(n23,n20)
& n13 != n24
& n19 = sum(n5,n14)
& n7 = sum(n24,n9)
& n6 = sum(n18,n14)
& n22 = sum(n15,n7)
& n10 != n14
& n6 != n14
& n17 = sum(n19,n24)
& n3 != n14
& n3 != n13
& n1 = sum(n8,n19)
& n19 = sum(n21,n24)
& n17 = sum(n4,n13)
& n14 = sum(n0,n14)
& n21 != n22
& n7 != n22
& n0 = sum(n20,n6)
& n2 = sum(n0,n2)
& n8 != n19
& n16 != n21
& n20 = sum(n8,n12)
& n5 = sum(n8,n23)
& n22 = sum(n16,n6)
& n11 != n24
& n16 != n22
& n15 = sum(n5,n10)
& n5 != n12
& n0 = pred(n1)
& n1 != n7
& n4 != n14
& n18 = sum(n12,n6)
& n18 = sum(n5,n13)
& n7 != n20
& n24 = sum(n17,n7)
& n8 = sum(n15,n19)
& n2 != n21
& n16 = sum(n0,n16)
& n14 != n23
& n2 = sum(n24,n4)
& sum(sum(pred(X31),succ(X31)),sum(pred(X22),succ(X22))) = X9
& n9 != n21
& succ(n17) = n18
& ( X14 != X42
| X26 != X37
| X9 != X15
| X13 != X24
| X23 != X48
| X41 != X49
| X22 != X31
| X8 != X47
| X28 != X50
| X19 != X29
| X16 != X25
| X2 != X18
| X0 != X46
| X1 != X21
| X35 != X45
| X6 != X17
| X32 != X36
| X33 != X44
| X4 != X43
| X11 != X39
| X5 != X40
| X27 != X51
| X20 != X38
| X7 != X34
| X3 != X12 )
& n4 != n7
& n8 = sum(n0,n8)
& n3 != n25
& n8 = sum(n21,n13)
& n2 != n20
& succ(n16) = n17
& n8 = sum(n6,n2)
& sum(sum(pred(X12),succ(X12)),sum(pred(X3),succ(X3))) = X33
& sum(sum(pred(X12),succ(X3)),sum(pred(X3),succ(X12))) = X44
& n9 = sum(n11,n24)
& n2 != n6
& n21 = sum(n16,n5)
& n6 = sum(n2,n4)
& n22 = sum(n23,n25)
& n23 = sum(n15,n8)
& n15 = sum(n19,n22)
& n3 = sum(n20,n9)
& n10 != n12
& n21 = pred(n22)
& n2 != n25
& n6 != n18
& succ(n9) = n10
& n16 = sum(n2,n14)
& n12 = sum(n23,n15)
& n16 = sum(n22,n20)
& n19 = sum(n0,n19)
& n19 = sum(n7,n12)
& n14 != n20
& n12 != n24
& n18 = sum(n24,n20)
& n6 = sum(n5,n1)
& n10 = sum(n19,n17)
& n17 = sum(n21,n22)
& n8 != n16
& n15 = sum(n12,n3)
& n7 = sum(n18,n15)
& n24 = sum(n19,n5)
& n23 = sum(n21,n2)
& n12 = sum(n24,n14)
& succ(n3) = n4
& n1 != n22
& n4 = sum(n22,n8)
& n7 = sum(n1,n6)
& n20 = sum(n24,n22)
& n0 != n1
& n2 != n24
& succ(n4) = n5
& n11 != n17
& n17 = sum(n13,n4)
& n9 = pred(n10)
& n22 = sum(n9,n13)
& n21 = sum(n2,n19)
& n6 = sum(n6,n0)
& n16 = sum(n20,n22)
& sum(sum(pred(X18),succ(X2)),sum(pred(X2),succ(X18))) = X17
& n18 = sum(n9,n9)
& n19 = sum(n9,n10)
& n9 = sum(n16,n19)
& n7 = sum(n19,n14)
& n0 != n25
& n0 != n17
& n5 = sum(n14,n17)
& n10 = sum(n23,n13)
& n0 = sum(n3,n23)
& n24 = pred(n25)
& n3 = sum(n2,n1)
& n22 = sum(n24,n24)
& n18 = sum(n8,n10)
& n2 != n13
& sum(sum(pred(X41),succ(X49)),sum(pred(X49),succ(X41))) = X34
& n3 != n11
& sum(sum(pred(X19),succ(X29)),sum(pred(X29),succ(X19))) = X12
& n9 = sum(n15,n20)
& n16 = sum(n4,n12)
& n16 = sum(n3,n13)
& n4 = sum(n24,n6)
& n0 != n18
& n6 = sum(n4,n2)
& n5 != n18
& n9 = sum(n21,n14)
& n5 != n7
& n15 = sum(n24,n17)
& n9 = sum(n8,n1)
& succ(n20) = n21
& n16 = sum(n24,n18)
& n19 = sum(n24,n21)
& n10 = sum(n0,n10)
& n15 = sum(n9,n6)
& n9 = sum(n24,n11)
& n20 = sum(n15,n5)
& n12 = sum(n8,n4)
& n12 = sum(n22,n16)
& n6 = sum(n21,n11)
& n4 = sum(n11,n19)
& n7 = sum(n23,n10)
& n12 = sum(n15,n23)
& n0 = sum(n12,n14)
& n17 = sum(n11,n6)
& n21 = sum(n20,n1)
& n12 = sum(n18,n20)
& n14 != n19
& n2 != n12
& n24 = sum(n14,n10)
& n0 != n12
& n12 != n23
& n19 != n21
& n21 = sum(n22,n25)
& n1 != n18
& n1 = pred(n2)
& n16 = sum(n14,n2)
& sum(sum(pred(X46),succ(X46)),sum(pred(X0),succ(X0))) = X28
& n10 != n21
& n21 = sum(n7,n14)
& n0 = sum(n13,n13)
& n4 = sum(n21,n9)
& n15 != n21
& n0 != n7
& n24 = sum(n8,n16)
& n2 = sum(n21,n7)
& n16 = sum(n19,n23)
& sum(sum(pred(X34),succ(X7)),sum(pred(X7),succ(X34))) = X4
& n2 = sum(n7,n21)
& sum(sum(pred(X18),succ(X18)),sum(pred(X2),succ(X2))) = X6
& n14 != n18
& n21 = sum(n21,n0)
& n0 != n21
& n23 = sum(n10,n13)
& n11 = sum(n10,n1)
& n14 = sum(n5,n9)
& n1 = sum(n19,n8)
& n3 = sum(n17,n12)
& n6 != n15
& n12 = sum(n16,n22)
& n19 != n22
& sum(sum(pred(X41),succ(X41)),sum(pred(X49),succ(X49))) = X7
& n6 != n25
& n15 = sum(n20,n21)
& n15 = pred(n16)
& n2 = sum(n22,n6)
& n19 = sum(n25,n20)
& n4 != n8
& n4 = sum(n23,n7)
& n14 != n15
& n17 = sum(n17,n0)
& n6 = sum(n3,n3)
& n20 = sum(n9,n11)
& n11 = sum(n22,n15)
& n4 != n20
& succ(n10) = n11
& n4 != n24
& n18 = sum(n6,n12)
& n0 = sum(n1,n25)
& n0 != n4
& n12 != n22
& n11 = sum(n21,n16)
& n14 != n17
& n11 = sum(n0,n11)
& n2 = sum(n20,n8)
& n18 = sum(n13,n5)
& n8 = sum(n13,n21)
& n14 = sum(n20,n20)
& n3 != n24
& n12 = sum(n0,n12)
& n7 = sum(n10,n23)
& n23 = sum(n13,n10)
& n12 = pred(n13)
& n19 = sum(n19,n0)
& n23 = sum(n25,n24)
& n5 = sum(n12,n19)
& n15 = sum(n10,n5)
& n11 = sum(n17,n20)
& n20 = sum(n18,n2)
& n11 = sum(n6,n5)
& n1 != n21
& n12 = sum(n25,n13)
& n13 = sum(n24,n15)
& n8 = sum(n3,n5)
& n2 = sum(n16,n12)
& n20 != n23
& n11 = sum(n5,n6)
& n22 = sum(n3,n19)
& n13 = sum(n14,n25)
& n11 = sum(n11,n0)
& n9 = sum(n17,n18)
& n9 = sum(n4,n5)
& n17 != n25
& n14 = sum(n9,n5)
& n22 = sum(n11,n11)
& n0 != n16
& n9 = sum(n9,n0)
& sum(sum(pred(X30),succ(X10)),sum(pred(X10),succ(X30))) = X42
& n20 != n22
& n1 != n3
& n7 = sum(n14,n19)
& n15 = sum(n11,n4)
& n23 = sum(n2,n21)
& n6 != n17
& n0 = sum(n8,n18)
& n0 != n10
& n24 = sum(n9,n15)
& n6 != n9
& n16 = sum(n23,n19)
& n11 = sum(n7,n4)
& n19 = sum(n11,n8)
& n0 != n14
& n1 != n4
& n9 != n25
& n0 = succ(n25)
& n25 = sum(n2,n23)
& n0 = sum(n15,n11)
& n22 = sum(n0,n22)
& n13 = sum(n11,n2)
& n4 = sum(n12,n18)
& n18 = sum(n0,n18)
& n4 = sum(n18,n12)
& n20 = pred(n21)
& n17 = sum(n1,n16)
& succ(n12) = n13
& n12 = sum(n19,n19)
& n12 != n13
& n3 != n18
& n6 = sum(n25,n7)
& n21 = sum(n24,n23)
& n8 = pred(n9)
& n13 = sum(n8,n5)
& n2 = sum(n4,n24)
& n13 = sum(n19,n20)
& n5 != n19
& n3 != n17
& n5 != n8
& sum(sum(pred(X50),succ(X28)),sum(pred(X28),succ(X50))) = X13
& n7 = sum(n20,n13)
& n10 = sum(n16,n20)
& n18 = sum(n7,n11)
& n0 != n8
& n20 != n24
& n21 = sum(n5,n16)
& n20 = sum(n22,n24)
& n22 = sum(n13,n9)
& n13 = pred(n14)
& n5 = sum(n16,n15)
& n1 = sum(n20,n7)
& n23 = sum(n6,n17)
& n7 = sum(n7,n0)
& n4 = sum(n5,n25)
& n3 = sum(n6,n23)
& n21 = sum(n14,n7)
& n1 = sum(n10,n17)
& n2 = sum(n6,n22)
& sum(sum(pred(X27),succ(X51)),sum(pred(X51),succ(X27))) = X46
& n1 = sum(n5,n22)
& n14 = sum(n18,n22)
& n5 != n6
& n21 = sum(n1,n20)
& sum(sum(pred(X39),succ(X39)),sum(pred(X11),succ(X11))) = X35
& n11 != n15
& n0 = sum(n16,n10)
& n22 = sum(n25,n23)
& n14 != n22
& n2 = sum(n19,n9)
& n15 = sum(n13,n2)
& n17 != n24
& n7 = sum(n3,n4)
& n8 != n10
& n6 != n10
& n25 = sum(n3,n22)
& n14 != n24
& n9 = sum(n18,n17)
& n25 = sum(n6,n19)
& n15 = sum(n14,n1)
& n14 = sum(n23,n17)
& n11 != n13
& n11 = sum(n4,n7)
& n21 = sum(n4,n17)
& n2 != n17
& n14 = sum(n15,n25)
& n25 = sum(n11,n14)
& n2 = sum(n11,n17)
& sum(sum(pred(X50),succ(X50)),sum(pred(X28),succ(X28))) = X24
& n13 != n22
& n6 = sum(n17,n15)
& n6 = sum(n11,n21)
& n18 = pred(n19)
& n12 = sum(n21,n17)
& n8 = sum(n18,n16)
& n16 = sum(n11,n5)
& n1 = sum(n7,n20)
& n15 = sum(n8,n7)
& n1 != n5
& sum(sum(pred(X40),succ(X5)),sum(pred(X5),succ(X40))) = X36
& n12 != n20
& n17 = sum(n7,n10)
& ( n13 = X10
| n5 = X10
| n9 = X10
| n15 = X10
| n12 = X10
| n8 = X10
| n7 = X10
| n19 = X10
| n24 = X10
| n0 = X10
| n14 = X10
| n20 = X10
| n11 = X10
| n18 = X10
| n6 = X10
| n10 = X10
| n21 = X10
| n25 = X10
| n2 = X10
| n23 = X10
| n17 = X10
| n16 = X10
| n3 = X10
| n1 = X10
| n22 = X10
| n4 = X10 )
& n22 = pred(n23)
& n6 = sum(n19,n13)
& n4 != n17
& n14 = pred(n15)
& n3 != n22
& n13 = sum(n20,n19)
& n23 = sum(n19,n4)
& n3 = sum(n7,n22)
& n1 != n23
& n13 != n17
& n8 = sum(n12,n22)
& n7 = sum(n25,n8)
& n9 != n16
& n9 != n20
& n16 = sum(n8,n8)
& n3 = sum(n8,n21)
& n5 = sum(n22,n9)
& n13 = sum(n18,n21)
& n13 != n23
& n22 = sum(n19,n3)
& n3 != n8
& n9 != n24
& n18 != n25
& n2 = pred(n3)
& n5 != n25
& n7 = sum(n0,n7)
& n6 != n8
& n1 != n10
& sum(sum(pred(X44),succ(X44)),sum(pred(X33),succ(X33))) = X37
& n22 = sum(n14,n8)
& n15 != n24
& n20 = sum(n19,n1)
& n16 = sum(n6,n10)
& n18 = sum(n15,n3)
& n16 = sum(n25,n17)
& n2 = sum(n14,n14)
& n1 = sum(n12,n15)
& n6 = sum(n23,n9)
& n10 = sum(n4,n6)
& n14 = sum(n4,n10)
& n25 = sum(n18,n7)
& n24 != n25
& n0 != n19
& n20 = sum(n4,n16)
& n9 != n12
& n21 = sum(n3,n18)
& n11 = sum(n16,n21)
& n13 = sum(n13,n0)
& n19 = sum(n2,n17)
& sum(sum(pred(X4),succ(X4)),sum(pred(X43),succ(X43))) = X16
& n14 = sum(n8,n6)
& n10 != n18
& n17 != n20
& n3 = sum(n9,n20)
& n25 = sum(n13,n12)
& n16 = sum(n12,n4)
& n20 = sum(n23,n23)
& n21 = sum(n15,n6)
& n17 = sum(n14,n3)
& n24 = sum(n4,n20)
& n19 = sum(n22,n23)
& n4 = sum(n16,n14)
& n24 = sum(n25,n25)
& n3 != n6
& n12 = sum(n10,n2)
& sum(sum(pred(X21),succ(X1)),sum(pred(X1),succ(X21))) = X18
& n7 = sum(n11,n22)
& n11 = sum(n9,n2)
& n2 != n14
& n15 = sum(n6,n9)
& n1 != n9
& succ(n14) = n15
& n23 != n25
& n1 != n2
& n5 = sum(n11,n20)
& n12 = sum(n4,n8)
& n13 = sum(n9,n4)
& n16 = sum(n7,n9)
& n0 = sum(n6,n20)
& n2 = sum(n18,n10)
& n9 = sum(n2,n7)
& n3 = sum(n11,n18)
& n4 != n19
& n3 = pred(n4)
& n1 != n12
& n3 = sum(n25,n4)
& n3 = sum(n4,n25)
& n11 != n16
& n9 != n15
& n17 = sum(n8,n9)
& n1 = sum(n16,n11)
& n2 != n3
& n19 = pred(n20)
& sum(sum(pred(X19),succ(X19)),sum(pred(X29),succ(X29))) = X3
& sum(sum(pred(X45),succ(X45)),sum(pred(X35),succ(X35))) = X29
& n9 = sum(n13,n22)
& n1 = sum(n0,n1)
& n1 != n15
& n3 != n20
& n5 = sum(n0,n5)
& n10 != n19
& n18 = sum(n4,n14)
& n10 = sum(n9,n1)
& n13 = sum(n7,n6)
& n20 = sum(n20,n0)
& n19 = sum(n23,n22)
& n7 = sum(n16,n17)
& n5 != n24
& n17 = sum(n9,n8)
& succ(n1) = n2
& n5 != n9
& n7 = sum(n12,n21)
& n19 = sum(n3,n16)
& n23 = sum(n8,n15)
& n18 = sum(n16,n2)
& n8 != n25
& n1 = sum(n13,n14)
& n0 = sum(n2,n24)
& n3 != n16
& n10 = sum(n18,n18)
& n0 != n24 ),
inference(rectify,[],[f2]) ).
fof(f2,plain,
? [X23,X38,X37,X46,X27,X31,X16,X25,X41,X47,X30,X26,X32,X18,X50,X19,X48,X35,X39,X3,X8,X43,X44,X4,X17,X45,X11,X6,X9,X36,X49,X7,X40,X14,X20,X15,X13,X34,X10,X22,X12,X1,X33,X0,X51,X21,X29,X24,X2,X28,X5,X42] :
( sum(sum(pred(X4),succ(X2)),sum(pred(X2),succ(X4))) = X12
& n7 = sum(n2,n5)
& n10 = pred(n11)
& n14 = sum(n7,n7)
& n8 != n24
& n18 = sum(n18,n0)
& n0 = sum(n14,n12)
& n11 != n25
& n2 = sum(n25,n3)
& n20 = sum(n16,n4)
& n6 = sum(n9,n23)
& n10 = sum(n7,n3)
& n7 != n13
& n23 = sum(n24,n25)
& n4 = sum(n20,n10)
& n5 = sum(n10,n21)
& n9 != n22
& n8 != n12
& n7 != n12
& n2 != n7
& n10 = sum(n10,n0)
& n11 != n19
& n8 = sum(n17,n17)
& n23 = sum(n11,n12)
& n3 = sum(n13,n16)
& n25 = sum(n0,n25)
& n15 = sum(n4,n11)
& n11 = sum(n15,n22)
& n23 = pred(n24)
& n2 != n5
& n22 = sum(n2,n20)
& n23 = sum(n22,n1)
& n21 != n24
& n5 != n13
& n13 != n16
& n2 != n8
& n10 = sum(n22,n14)
& n23 = sum(n14,n9)
& n9 = sum(n20,n15)
& n4 != n6
& n12 = sum(n7,n5)
& n11 != n14
& n24 = sum(n20,n4)
& n6 = sum(n14,n18)
& n25 = sum(n19,n6)
& n0 != n5
& n8 = sum(n24,n10)
& n15 = sum(n7,n8)
& n5 != n10
& n13 != n14
& n8 != n22
& n22 != n25
& n18 = sum(n20,n24)
& n6 != n21
& sum(sum(pred(X51),succ(X14)),sum(pred(X14),succ(X51))) = X11
& n7 != n18
& n0 = sum(n25,n1)
& n8 != n18
& n1 != n13
& n3 = sum(n21,n8)
& succ(n6) = n7
& n19 = sum(n16,n3)
& n0 = sum(n24,n2)
& n20 = sum(n13,n7)
& n21 = sum(n6,n15)
& n25 = sum(n17,n8)
& n9 = sum(n1,n8)
& n19 = sum(n8,n11)
& n17 != n19
& n23 = sum(n0,n23)
& sum(sum(pred(X21),succ(X15)),sum(pred(X15),succ(X21))) = X3
& n15 = sum(n17,n24)
& n0 = sum(n21,n5)
& n1 = sum(n11,n16)
& n1 = sum(n4,n23)
& n8 != n23
& n10 = sum(n24,n12)
& n25 = sum(n5,n20)
& n5 = sum(n20,n11)
& n14 = sum(n13,n1)
& n12 != n16
& n6 = sum(n10,n22)
& n25 = sum(n10,n15)
& n8 = sum(n20,n14)
& n13 = sum(n21,n18)
& n22 = sum(n5,n17)
& n5 != n22
& n12 != n14
& n20 = sum(n5,n15)
& n14 != n25
& n0 = sum(n22,n4)
& n13 = sum(n5,n8)
& n10 != n20
& n2 != n9
& n11 != n20
& n10 = sum(n25,n11)
& n16 = sum(n18,n24)
& sum(sum(pred(X29),succ(X23)),sum(pred(X23),succ(X29))) = X5
& n21 != n23
& n16 = sum(n5,n11)
& n24 = sum(n22,n2)
& n3 = sum(n10,n19)
& n3 = sum(n18,n11)
& n10 = sum(n1,n9)
& n16 = sum(n16,n0)
& n20 = sum(n2,n18)
& n5 != n17
& n5 != n14
& n18 != n22
& n15 = sum(n2,n13)
& n13 = sum(n22,n17)
& n10 = sum(n15,n21)
& n3 = sum(n24,n5)
& n23 = sum(n4,n19)
& succ(n8) = n9
& n8 = sum(n16,n18)
& ( n19 = X49
| n14 = X49
| n20 = X49
| n21 = X49
| n18 = X49
| n4 = X49
| n17 = X49
| n23 = X49
| n3 = X49
| n25 = X49
| n1 = X49
| n9 = X49
| n5 = X49
| n6 = X49
| n2 = X49
| n0 = X49
| n11 = X49
| n8 = X49
| n13 = X49
| n10 = X49
| n22 = X49
| n7 = X49
| n24 = X49
| n15 = X49
| n12 = X49
| n16 = X49 )
& n4 != n15
& n24 = sum(n5,n19)
& n20 = sum(n12,n8)
& n13 = sum(n2,n11)
& n7 != n23
& n0 != n2
& n4 != n18
& sum(sum(pred(X35),succ(X16)),sum(pred(X16),succ(X35))) = X41
& n17 = sum(n16,n1)
& n2 = sum(n3,n25)
& n8 != n9
& n10 != n17
& n20 = sum(n25,n21)
& n19 = sum(n20,n25)
& n5 != n15
& n9 = sum(n23,n12)
& n22 = sum(n4,n18)
& n16 = sum(n15,n1)
& n24 = sum(n24,n0)
& n8 = sum(n4,n4)
& n3 != n12
& n1 != n25
& n5 = sum(n21,n10)
& n11 = sum(n2,n9)
& n17 = sum(n25,n18)
& n3 = sum(n3,n0)
& n13 = sum(n3,n10)
& n12 = sum(n6,n6)
& n20 != n25
& n11 = sum(n23,n14)
& n8 != n20
& n11 = sum(n18,n19)
& n23 = sum(n20,n3)
& n7 = sum(n13,n20)
& n14 = sum(n21,n19)
& n4 = sum(n25,n5)
& n1 = sum(n9,n18)
& n2 = sum(n1,n1)
& n18 = sum(n21,n23)
& n10 = sum(n3,n7)
& n9 != n23
& n4 = sum(n1,n3)
& sum(sum(pred(X41),succ(X24)),sum(pred(X24),succ(X41))) = X6
& n23 = sum(n23,n0)
& succ(n2) = n3
& n16 = sum(n10,n6)
& n9 != n11
& n0 = sum(n7,n19)
& n23 = sum(n16,n7)
& n2 = sum(n8,n20)
& n23 = sum(n18,n5)
& n24 = sum(n16,n8)
& n15 = sum(n16,n25)
& n24 = sum(n3,n21)
& n12 = sum(n17,n21)
& n3 != n7
& n16 = sum(n1,n15)
& n15 != n25
& succ(n15) = n16
& n9 = sum(n14,n21)
& n2 = sum(n23,n5)
& n8 = sum(n25,n9)
& n8 != n17
& n17 = sum(n6,n11)
& n12 = sum(n2,n10)
& n4 = sum(n8,n22)
& n13 = sum(n10,n3)
& n11 != n21
& n19 = sum(n17,n2)
& n10 = sum(n12,n24)
& n20 = sum(n1,n19)
& n11 != n12
& n19 != n25
& n21 = sum(n18,n3)
& n21 != n25
& succ(n7) = n8
& n9 = sum(n19,n16)
& n19 != n20
& n24 = sum(n2,n22)
& n25 = sum(n16,n9)
& n2 = sum(n13,n15)
& n17 = sum(n2,n15)
& n8 = sum(n7,n1)
& n4 = sum(n15,n15)
& n7 != n8
& n5 != n21
& sum(sum(pred(X12),succ(X12)),sum(pred(X31),succ(X31))) = X40
& n4 = sum(n0,n4)
& n1 != n24
& n8 != n11
& n18 != n20
& n5 = sum(n17,n14)
& n24 = sum(n10,n14)
& n19 = sum(n1,n18)
& n23 = sum(n1,n22)
& sum(sum(pred(X19),succ(X19)),sum(pred(X47),succ(X47))) = X26
& n5 = sum(n18,n13)
& n25 = sum(n21,n4)
& n2 = sum(n17,n11)
& sum(sum(pred(X13),succ(X13)),sum(pred(X40),succ(X40))) = X28
& n23 != n24
& n8 != n14
& n23 = sum(n17,n6)
& n12 = sum(n20,n18)
& n4 = pred(n5)
& n13 != n25
& n12 != n25
& n15 = sum(n0,n15)
& n13 = sum(n1,n12)
& n17 = sum(n24,n19)
& n6 = pred(n7)
& n19 = sum(n13,n6)
& sum(sum(pred(X27),succ(X0)),sum(pred(X0),succ(X27))) = X45
& n14 != n16
& n2 = sum(n15,n13)
& n10 = sum(n14,n22)
& n6 != n23
& n4 = sum(n6,n24)
& succ(n22) = n23
& n5 = sum(n4,n1)
& n10 = sum(n2,n8)
& sum(sum(pred(X35),succ(X35)),sum(pred(X16),succ(X16))) = X24
& n14 = sum(n6,n8)
& n21 = sum(n19,n2)
& n16 = pred(n17)
& n7 = sum(n5,n2)
& n2 = sum(n9,n19)
& n14 = sum(n16,n24)
& sum(sum(pred(X33),succ(X50)),sum(pred(X50),succ(X33))) = X10
& n4 != n13
& n9 != n14
& n6 = sum(n16,n16)
& n7 != n11
& n14 = sum(n3,n11)
& n3 = sum(n12,n17)
& n6 != n16
& n9 = sum(n0,n9)
& sum(sum(pred(X13),succ(X40)),sum(pred(X40),succ(X13))) = X1
& sum(sum(pred(X45),succ(X48)),sum(pred(X48),succ(X45))) = X43
& n11 = sum(n25,n12)
& n13 = sum(n25,n14)
& n3 != n10
& n10 = sum(n5,n5)
& n1 = sum(n15,n12)
& n2 = sum(n2,n0)
& n7 = sum(n17,n16)
& sum(sum(pred(X41),succ(X41)),sum(pred(X24),succ(X24))) = X42
& sum(sum(pred(X4),succ(X4)),sum(pred(X2),succ(X2))) = X31
& n0 = sum(n5,n21)
& n21 = sum(n25,n22)
& n3 = sum(n16,n13)
& n4 != n10
& n1 = sum(n2,n25)
& n25 = sum(n14,n11)
& n13 = sum(n0,n13)
& n12 = sum(n9,n3)
& n6 != n13
& n16 != n19
& n16 != n24
& n11 != n18
& n17 != n21
& n6 != n12
& n11 = sum(n19,n18)
& n10 = sum(n13,n23)
& n4 != n5
& n22 != n23
& n22 = sum(n18,n4)
& n5 != n16
& n18 = sum(n25,n19)
& n6 = sum(n20,n12)
& n1 != n20
& n3 != n15
& n22 = sum(n17,n5)
& n2 != n4
& n17 != n23
& n9 != n18
& n4 != n16
& n9 = sum(n6,n3)
& n18 != n24
& n24 = sum(n13,n11)
& n11 = pred(n12)
& n12 != n21
& n24 = sum(n6,n18)
& n7 = sum(n9,n24)
& n3 = sum(n14,n15)
& sum(sum(pred(X10),succ(X8)),sum(pred(X8),succ(X10))) = X4
& n2 = sum(n10,n18)
& sum(sum(pred(X22),succ(X26)),sum(pred(X26),succ(X22))) = X21
& n7 = sum(n22,n11)
& n17 = pred(n18)
& n4 = sum(n17,n13)
& n0 != n11
& n2 = sum(n5,n23)
& n14 != n21
& n25 = sum(n7,n18)
& n0 != n22
& n24 = sum(n11,n13)
& sum(sum(pred(X19),succ(X47)),sum(pred(X47),succ(X19))) = X22
& sum(sum(pred(X45),succ(X45)),sum(pred(X48),succ(X48))) = X38
& n9 = sum(n12,n23)
& n4 = sum(n2,n2)
& n15 = sum(n23,n18)
& n15 = sum(n21,n20)
& n22 = sum(n12,n10)
& n17 = sum(n10,n7)
& n0 = sum(n23,n3)
& n5 = sum(n5,n0)
& n21 = sum(n10,n11)
& n22 = sum(n6,n16)
& n7 != n19
& sum(sum(pred(X18),succ(X18)),sum(pred(X17),succ(X17))) = X44
& n0 != n6
& n19 = sum(n18,n1)
& n8 = sum(n14,n20)
& n21 = sum(n8,n13)
& sum(sum(pred(X18),succ(X17)),sum(pred(X17),succ(X18))) = X7
& n15 != n23
& n6 = sum(n1,n5)
& n24 = sum(n7,n17)
& n10 != n13
& n15 != n19
& n15 = sum(n25,n16)
& n7 = sum(n15,n18)
& n24 = sum(n23,n1)
& n6 != n19
& n12 = sum(n1,n11)
& n13 = sum(n6,n7)
& n5 = sum(n24,n7)
& n5 = sum(n1,n4)
& n7 != n15
& n21 = sum(n12,n9)
& n25 = sum(n22,n3)
& n22 = sum(n20,n2)
& n9 != n10
& n14 = sum(n1,n13)
& n7 != n21
& n14 = sum(n24,n16)
& n22 = sum(n7,n15)
& n16 = sum(n17,n25)
& n20 = sum(n0,n20)
& n4 != n21
& n1 = sum(n23,n4)
& n19 = sum(n4,n15)
& n4 != n12
& n6 != n22
& n23 = sum(n12,n11)
& succ(n11) = n12
& n1 != n19
& n13 != n21
& n13 = sum(n12,n1)
& n7 = sum(n4,n3)
& n8 = sum(n10,n24)
& n8 = sum(n2,n6)
& n4 = sum(n13,n17)
& n11 = sum(n12,n25)
& n10 != n23
& n3 != n5
& n18 = sum(n19,n25)
& n17 = sum(n5,n12)
& n2 != n22
& n17 = sum(n0,n17)
& n2 != n18
& n5 = sum(n9,n22)
& n10 != n25
& n6 = sum(n12,n20)
& n16 = sum(n9,n7)
& n25 = sum(n9,n16)
& n17 = sum(n12,n5)
& n15 != n18
& n14 = sum(n22,n18)
& n1 != n17
& n4 != n23
& n6 = sum(n0,n6)
& n0 = sum(n11,n15)
& n12 = sum(n14,n24)
& n10 = sum(n20,n16)
& n0 != n23
& n3 = sum(n15,n14)
& n7 != n10
& n9 != n13
& n23 = sum(n3,n20)
& n4 != n22
& n22 = sum(n8,n14)
& n20 = sum(n14,n6)
& n0 != n20
& n24 = sum(n1,n23)
& n8 = sum(n5,n3)
& n0 = sum(n19,n7)
& n4 = sum(n10,n20)
& n0 != n9
& n16 != n23
& n1 != n8
& n10 = sum(n6,n4)
& sum(sum(pred(X7),succ(X44)),sum(pred(X44),succ(X7))) = X19
& n2 != n10
& n1 = sum(n25,n2)
& n25 = sum(n8,n17)
& n16 != n17
& n18 = sum(n2,n16)
& n13 != n18
& n15 != n22
& n10 != n22
& n17 = sum(n15,n2)
& n5 = sum(n19,n12)
& n23 = sum(n9,n14)
& n13 = sum(n4,n9)
& n3 != n9
& n1 != n6
& n4 != n25
& n10 = sum(n8,n2)
& n8 = sum(n11,n23)
& n15 = sum(n3,n12)
& n3 != n21
& n12 != n18
& n12 = sum(n12,n0)
& n7 != n17
& n14 = sum(n10,n4)
& n5 = sum(n3,n2)
& n6 != n24
& n5 = sum(n15,n16)
& n1 != n11
& n17 = sum(n18,n25)
& n8 = sum(n19,n15)
& succ(n18) = n19
& n21 = sum(n17,n4)
& sum(sum(pred(X10),succ(X10)),sum(pred(X8),succ(X8))) = X2
& n13 = sum(n23,n16)
& n8 != n15
& sum(sum(pred(X6),succ(X6)),sum(pred(X42),succ(X42))) = X23
& n1 != n14
& n1 != n16
& n1 = sum(n1,n0)
& n17 = sum(n22,n21)
& n11 = sum(n13,n24)
& n15 = sum(n15,n0)
& n9 = sum(n3,n6)
& n2 != n19
& n9 = sum(n5,n4)
& n16 != n18
& n4 = sum(n14,n16)
& n24 = sum(n15,n9)
& n13 != n19
& n1 = sum(n24,n3)
& n16 != n20
& n21 = sum(n11,n10)
& n6 = sum(n13,n19)
& n14 = sum(n14,n0)
& n1 = sum(n3,n24)
& n13 = sum(n15,n24)
& n12 = sum(n3,n9)
& n0 != n15
& n9 = sum(n25,n10)
& n15 != n16
& n6 = sum(n15,n17)
& n11 = sum(n8,n3)
& n23 = sum(n7,n16)
& n9 = sum(n22,n13)
& n18 = sum(n1,n17)
& n4 = sum(n3,n1)
& n0 = sum(n9,n17)
& n18 = sum(n22,n22)
& n22 = sum(n10,n12)
& n10 != n15
& n23 = sum(n5,n18)
& n3 = sum(n5,n24)
& n6 != n11
& n24 = sum(n12,n12)
& n7 = sum(n8,n25)
& succ(n0) = n1
& n3 != n4
& n10 = sum(n11,n25)
& sum(sum(pred(X20),succ(X20)),sum(pred(X25),succ(X25))) = X0
& n18 = sum(n17,n1)
& n20 = sum(n10,n10)
& n18 = sum(n14,n4)
& n3 = sum(n22,n7)
& n12 != n19
& n22 = sum(n1,n21)
& n13 != n15
& n12 = sum(n11,n1)
& n5 = sum(n6,n25)
& n1 = sum(n21,n6)
& n5 = sum(n25,n6)
& n21 = sum(n0,n21)
& n12 != n17
& n14 = sum(n2,n12)
& n0 != n3
& n20 = sum(n3,n17)
& n5 != n11
& n20 = sum(n11,n9)
& n7 = pred(n8)
& n18 != n19
& n4 != n9
& n4 = sum(n7,n23)
& n0 = sum(n4,n22)
& n9 != n19
& n20 = sum(n21,n25)
& n20 = sum(n6,n14)
& n6 != n20
& n2 != n15
& succ(n21) = n22
& n14 = sum(n17,n23)
& n5 = sum(n2,n3)
& n10 != n16
& n8 != n21
& n12 != n15
& n20 = sum(n17,n3)
& n11 = sum(n20,n17)
& n20 != n21
& n16 = sum(n21,n21)
& n19 = sum(n10,n9)
& n2 != n23
& n15 = sum(n18,n23)
& n11 = sum(n1,n10)
& n19 = sum(n14,n5)
& succ(n13) = n14
& n25 = sum(n25,n0)
& n14 = sum(n19,n21)
& n9 != n17
& n18 = sum(n3,n15)
& n11 != n22
& n3 = sum(n19,n10)
& n18 != n23
& n5 != n20
& n7 = sum(n6,n1)
& n19 = sum(n6,n13)
& n25 = sum(n4,n21)
& n15 = sum(n1,n14)
& succ(n19) = n20
& n25 = sum(n24,n1)
& n5 = pred(n6)
& n12 = sum(n13,n25)
& n10 != n11
& n17 = sum(n3,n14)
& n17 = sum(n20,n23)
& n21 = sum(n9,n12)
& sum(sum(pred(X49),succ(X49)),sum(pred(X30),succ(X30))) = X50
& n1 = sum(n17,n10)
& n20 = sum(n7,n13)
& n13 = sum(n16,n23)
& succ(n23) = n24
& n1 = sum(n18,n9)
& n7 != n9
& n15 != n20
& n8 = sum(n8,n0)
& n6 != n7
& n6 = sum(n22,n10)
& n25 = sum(n1,n24)
& n8 = sum(n22,n12)
& n3 != n19
& n9 = sum(n7,n2)
& n24 = sum(n0,n24)
& n8 != n13
& n11 = sum(n24,n13)
& succ(n5) = n6
& n11 != n23
& n16 != n25
& n8 = sum(n9,n25)
& n22 != n24
& n8 = sum(n1,n7)
& n2 != n11
& n16 = sum(n13,n3)
& n10 = sum(n21,n15)
& n10 = sum(n17,n19)
& n0 = sum(n0,n0)
& n6 = sum(n24,n8)
& n11 = sum(n14,n23)
& n19 != n24
& n21 = sum(n13,n8)
& n7 = sum(n21,n12)
& n7 != n16
& n17 != n22
& sum(sum(pred(X43),succ(X43)),sum(pred(X38),succ(X38))) = X37
& n1 = sum(n6,n21)
& succ(n24) = n25
& n5 = sum(n13,n18)
& n2 = sum(n12,n16)
& n19 != n23
& n3 = sum(n1,n2)
& n6 = sum(n8,n24)
& n18 != n21
& n21 = sum(n23,n24)
& n19 = sum(n12,n7)
& n3 = sum(n0,n3)
& n3 = sum(n23,n6)
& n14 = sum(n11,n3)
& n25 = pred(n0)
& n22 = sum(n22,n0)
& n25 = sum(n12,n13)
& n25 = sum(n15,n10)
& n3 != n23
& n18 = sum(n11,n7)
& n18 = sum(n10,n8)
& n9 = sum(n10,n25)
& n0 = sum(n18,n8)
& n7 != n25
& n15 = sum(n22,n19)
& n14 = sum(n25,n15)
& n14 = sum(n12,n2)
& n5 != n23
& n13 != n20
& n25 = sum(n23,n2)
& n4 = sum(n9,n21)
& n4 != n11
& n0 != n13
& n19 = sum(n15,n4)
& n6 = sum(n7,n25)
& n22 = sum(n21,n1)
& n24 = sum(n18,n6)
& n0 = sum(n17,n9)
& n7 != n24
& n4 = sum(n4,n0)
& n1 = sum(n14,n13)
& n5 = sum(n23,n8)
& n15 != n17
& n24 = sum(n21,n3)
& n12 = sum(n5,n7)
& n25 = sum(n20,n5)
& n10 != n24
& n13 = sum(n17,n22)
& n2 != n16
& n8 = sum(n23,n11)
& n4 = sum(n19,n11)
& n0 = sum(n10,n16)
& n17 != n18
& n5 = sum(n7,n24)
& sum(sum(pred(X33),succ(X33)),sum(pred(X50),succ(X50))) = X8
& n11 = sum(n3,n8)
& n7 != n14
& n1 = sum(n22,n5)
& n18 = sum(n23,n21)
& n17 = sum(n23,n20)
& n13 != n24
& n19 = sum(n5,n14)
& n7 = sum(n24,n9)
& n6 = sum(n18,n14)
& n22 = sum(n15,n7)
& n10 != n14
& n6 != n14
& n17 = sum(n19,n24)
& n3 != n14
& n3 != n13
& n1 = sum(n8,n19)
& n19 = sum(n21,n24)
& n17 = sum(n4,n13)
& n14 = sum(n0,n14)
& n21 != n22
& n7 != n22
& n0 = sum(n20,n6)
& n2 = sum(n0,n2)
& n8 != n19
& n16 != n21
& n20 = sum(n8,n12)
& n5 = sum(n8,n23)
& n22 = sum(n16,n6)
& n11 != n24
& n16 != n22
& n15 = sum(n5,n10)
& n5 != n12
& n0 = pred(n1)
& n1 != n7
& n4 != n14
& n18 = sum(n12,n6)
& n18 = sum(n5,n13)
& n7 != n20
& n24 = sum(n17,n7)
& n8 = sum(n15,n19)
& n2 != n21
& n16 = sum(n0,n16)
& n14 != n23
& n2 = sum(n24,n4)
& sum(sum(pred(X7),succ(X7)),sum(pred(X44),succ(X44))) = X47
& n9 != n21
& succ(n17) = n18
& ( X33 != X50
| X11 != X34
| X19 != X47
| X17 != X18
| X2 != X4
| X1 != X28
| X7 != X44
| X24 != X41
| X5 != X9
| X3 != X36
| X45 != X48
| X37 != X39
| X23 != X29
| X38 != X43
| X15 != X21
| X16 != X35
| X13 != X40
| X14 != X51
| X0 != X27
| X22 != X26
| X12 != X31
| X6 != X42
| X8 != X10
| X20 != X25
| X32 != X46 )
& n4 != n7
& n8 = sum(n0,n8)
& n3 != n25
& n8 = sum(n21,n13)
& n2 != n20
& succ(n16) = n17
& n8 = sum(n6,n2)
& sum(sum(pred(X32),succ(X32)),sum(pred(X46),succ(X46))) = X14
& sum(sum(pred(X32),succ(X46)),sum(pred(X46),succ(X32))) = X51
& n9 = sum(n11,n24)
& n2 != n6
& n21 = sum(n16,n5)
& n6 = sum(n2,n4)
& n22 = sum(n23,n25)
& n23 = sum(n15,n8)
& n15 = sum(n19,n22)
& n3 = sum(n20,n9)
& n10 != n12
& n21 = pred(n22)
& n2 != n25
& n6 != n18
& succ(n9) = n10
& n16 = sum(n2,n14)
& n12 = sum(n23,n15)
& n16 = sum(n22,n20)
& n19 = sum(n0,n19)
& n19 = sum(n7,n12)
& n14 != n20
& n12 != n24
& n18 = sum(n24,n20)
& n6 = sum(n5,n1)
& n10 = sum(n19,n17)
& n17 = sum(n21,n22)
& n8 != n16
& n15 = sum(n12,n3)
& n7 = sum(n18,n15)
& n24 = sum(n19,n5)
& n23 = sum(n21,n2)
& n12 = sum(n24,n14)
& succ(n3) = n4
& n1 != n22
& n4 = sum(n22,n8)
& n7 = sum(n1,n6)
& n20 = sum(n24,n22)
& n0 != n1
& n2 != n24
& succ(n4) = n5
& n11 != n17
& n17 = sum(n13,n4)
& n9 = pred(n10)
& n22 = sum(n9,n13)
& n21 = sum(n2,n19)
& n6 = sum(n6,n0)
& n16 = sum(n20,n22)
& sum(sum(pred(X39),succ(X37)),sum(pred(X37),succ(X39))) = X35
& n18 = sum(n9,n9)
& n19 = sum(n9,n10)
& n9 = sum(n16,n19)
& n7 = sum(n19,n14)
& n0 != n25
& n0 != n17
& n5 = sum(n14,n17)
& n10 = sum(n23,n13)
& n0 = sum(n3,n23)
& n24 = pred(n25)
& n3 = sum(n2,n1)
& n22 = sum(n24,n24)
& n18 = sum(n8,n10)
& n2 != n13
& sum(sum(pred(X1),succ(X28)),sum(pred(X28),succ(X1))) = X20
& n3 != n11
& sum(sum(pred(X3),succ(X36)),sum(pred(X36),succ(X3))) = X32
& n9 = sum(n15,n20)
& n16 = sum(n4,n12)
& n16 = sum(n3,n13)
& n4 = sum(n24,n6)
& n0 != n18
& n6 = sum(n4,n2)
& n5 != n18
& n9 = sum(n21,n14)
& n5 != n7
& n15 = sum(n24,n17)
& n9 = sum(n8,n1)
& succ(n20) = n21
& n16 = sum(n24,n18)
& n19 = sum(n24,n21)
& n10 = sum(n0,n10)
& n15 = sum(n9,n6)
& n9 = sum(n24,n11)
& n20 = sum(n15,n5)
& n12 = sum(n8,n4)
& n12 = sum(n22,n16)
& n6 = sum(n21,n11)
& n4 = sum(n11,n19)
& n7 = sum(n23,n10)
& n12 = sum(n15,n23)
& n0 = sum(n12,n14)
& n17 = sum(n11,n6)
& n21 = sum(n20,n1)
& n12 = sum(n18,n20)
& n14 != n19
& n2 != n12
& n24 = sum(n14,n10)
& n0 != n12
& n12 != n23
& n19 != n21
& n21 = sum(n22,n25)
& n1 != n18
& n1 = pred(n2)
& n16 = sum(n14,n2)
& sum(sum(pred(X29),succ(X29)),sum(pred(X23),succ(X23))) = X9
& n10 != n21
& n21 = sum(n7,n14)
& n0 = sum(n13,n13)
& n4 = sum(n21,n9)
& n15 != n21
& n0 != n7
& n24 = sum(n8,n16)
& n2 = sum(n21,n7)
& n16 = sum(n19,n23)
& sum(sum(pred(X20),succ(X25)),sum(pred(X25),succ(X20))) = X27
& n2 = sum(n7,n21)
& sum(sum(pred(X39),succ(X39)),sum(pred(X37),succ(X37))) = X16
& n14 != n18
& n21 = sum(n21,n0)
& n0 != n21
& n23 = sum(n10,n13)
& n11 = sum(n10,n1)
& n14 = sum(n5,n9)
& n1 = sum(n19,n8)
& n3 = sum(n17,n12)
& n6 != n15
& n12 = sum(n16,n22)
& n19 != n22
& sum(sum(pred(X1),succ(X1)),sum(pred(X28),succ(X28))) = X25
& n6 != n25
& n15 = sum(n20,n21)
& n15 = pred(n16)
& n2 = sum(n22,n6)
& n19 = sum(n25,n20)
& n4 != n8
& n4 = sum(n23,n7)
& n14 != n15
& n17 = sum(n17,n0)
& n6 = sum(n3,n3)
& n20 = sum(n9,n11)
& n11 = sum(n22,n15)
& n4 != n20
& succ(n10) = n11
& n4 != n24
& n18 = sum(n6,n12)
& n0 = sum(n1,n25)
& n0 != n4
& n12 != n22
& n11 = sum(n21,n16)
& n14 != n17
& n11 = sum(n0,n11)
& n2 = sum(n20,n8)
& n18 = sum(n13,n5)
& n8 = sum(n13,n21)
& n14 = sum(n20,n20)
& n3 != n24
& n12 = sum(n0,n12)
& n7 = sum(n10,n23)
& n23 = sum(n13,n10)
& n12 = pred(n13)
& n19 = sum(n19,n0)
& n23 = sum(n25,n24)
& n5 = sum(n12,n19)
& n15 = sum(n10,n5)
& n11 = sum(n17,n20)
& n20 = sum(n18,n2)
& n11 = sum(n6,n5)
& n1 != n21
& n12 = sum(n25,n13)
& n13 = sum(n24,n15)
& n8 = sum(n3,n5)
& n2 = sum(n16,n12)
& n20 != n23
& n11 = sum(n5,n6)
& n22 = sum(n3,n19)
& n13 = sum(n14,n25)
& n11 = sum(n11,n0)
& n9 = sum(n17,n18)
& n9 = sum(n4,n5)
& n17 != n25
& n14 = sum(n9,n5)
& n22 = sum(n11,n11)
& n0 != n16
& n9 = sum(n9,n0)
& sum(sum(pred(X49),succ(X30)),sum(pred(X30),succ(X49))) = X33
& n20 != n22
& n1 != n3
& n7 = sum(n14,n19)
& n15 = sum(n11,n4)
& n23 = sum(n2,n21)
& n6 != n17
& n0 = sum(n8,n18)
& n0 != n10
& n24 = sum(n9,n15)
& n6 != n9
& n16 = sum(n23,n19)
& n11 = sum(n7,n4)
& n19 = sum(n11,n8)
& n0 != n14
& n1 != n4
& n9 != n25
& n0 = succ(n25)
& n25 = sum(n2,n23)
& n0 = sum(n15,n11)
& n22 = sum(n0,n22)
& n13 = sum(n11,n2)
& n4 = sum(n12,n18)
& n18 = sum(n0,n18)
& n4 = sum(n18,n12)
& n20 = pred(n21)
& n17 = sum(n1,n16)
& succ(n12) = n13
& n12 = sum(n19,n19)
& n12 != n13
& n3 != n18
& n6 = sum(n25,n7)
& n21 = sum(n24,n23)
& n8 = pred(n9)
& n13 = sum(n8,n5)
& n2 = sum(n4,n24)
& n13 = sum(n19,n20)
& n5 != n19
& n3 != n17
& n5 != n8
& sum(sum(pred(X5),succ(X9)),sum(pred(X9),succ(X5))) = X18
& n7 = sum(n20,n13)
& n10 = sum(n16,n20)
& n18 = sum(n7,n11)
& n0 != n8
& n20 != n24
& n21 = sum(n5,n16)
& n20 = sum(n22,n24)
& n22 = sum(n13,n9)
& n13 = pred(n14)
& n5 = sum(n16,n15)
& n1 = sum(n20,n7)
& n23 = sum(n6,n17)
& n7 = sum(n7,n0)
& n4 = sum(n5,n25)
& n3 = sum(n6,n23)
& n21 = sum(n14,n7)
& n1 = sum(n10,n17)
& n2 = sum(n6,n22)
& sum(sum(pred(X6),succ(X42)),sum(pred(X42),succ(X6))) = X29
& n1 = sum(n5,n22)
& n14 = sum(n18,n22)
& n5 != n6
& n21 = sum(n1,n20)
& sum(sum(pred(X22),succ(X22)),sum(pred(X26),succ(X26))) = X15
& n11 != n15
& n0 = sum(n16,n10)
& n22 = sum(n25,n23)
& n14 != n22
& n2 = sum(n19,n9)
& n15 = sum(n13,n2)
& n17 != n24
& n7 = sum(n3,n4)
& n8 != n10
& n6 != n10
& n25 = sum(n3,n22)
& n14 != n24
& n9 = sum(n18,n17)
& n25 = sum(n6,n19)
& n15 = sum(n14,n1)
& n14 = sum(n23,n17)
& n11 != n13
& n11 = sum(n4,n7)
& n21 = sum(n4,n17)
& n2 != n17
& n14 = sum(n15,n25)
& n25 = sum(n11,n14)
& n2 = sum(n11,n17)
& sum(sum(pred(X5),succ(X5)),sum(pred(X9),succ(X9))) = X17
& n13 != n22
& n6 = sum(n17,n15)
& n6 = sum(n11,n21)
& n18 = pred(n19)
& n12 = sum(n21,n17)
& n8 = sum(n18,n16)
& n16 = sum(n11,n5)
& n1 = sum(n7,n20)
& n15 = sum(n8,n7)
& n1 != n5
& sum(sum(pred(X12),succ(X31)),sum(pred(X31),succ(X12))) = X13
& n12 != n20
& n17 = sum(n7,n10)
& ( n13 = X30
| n5 = X30
| n9 = X30
| n15 = X30
| n12 = X30
| n8 = X30
| n7 = X30
| n19 = X30
| n24 = X30
| n0 = X30
| n14 = X30
| n20 = X30
| n11 = X30
| n18 = X30
| n6 = X30
| n10 = X30
| n21 = X30
| n25 = X30
| n2 = X30
| n23 = X30
| n17 = X30
| n16 = X30
| n3 = X30
| n1 = X30
| n22 = X30
| n4 = X30 )
& n22 = pred(n23)
& n6 = sum(n19,n13)
& n4 != n17
& n14 = pred(n15)
& n3 != n22
& n13 = sum(n20,n19)
& n23 = sum(n19,n4)
& n3 = sum(n7,n22)
& n1 != n23
& n13 != n17
& n8 = sum(n12,n22)
& n7 = sum(n25,n8)
& n9 != n16
& n9 != n20
& n16 = sum(n8,n8)
& n3 = sum(n8,n21)
& n5 = sum(n22,n9)
& n13 = sum(n18,n21)
& n13 != n23
& n22 = sum(n19,n3)
& n3 != n8
& n9 != n24
& n18 != n25
& n2 = pred(n3)
& n5 != n25
& n7 = sum(n0,n7)
& n6 != n8
& n1 != n10
& sum(sum(pred(X51),succ(X51)),sum(pred(X14),succ(X14))) = X34
& n22 = sum(n14,n8)
& n15 != n24
& n20 = sum(n19,n1)
& n16 = sum(n6,n10)
& n18 = sum(n15,n3)
& n16 = sum(n25,n17)
& n2 = sum(n14,n14)
& n1 = sum(n12,n15)
& n6 = sum(n23,n9)
& n10 = sum(n4,n6)
& n14 = sum(n4,n10)
& n25 = sum(n18,n7)
& n24 != n25
& n0 != n19
& n20 = sum(n4,n16)
& n9 != n12
& n21 = sum(n3,n18)
& n11 = sum(n16,n21)
& n13 = sum(n13,n0)
& n19 = sum(n2,n17)
& sum(sum(pred(X27),succ(X27)),sum(pred(X0),succ(X0))) = X48
& n14 = sum(n8,n6)
& n10 != n18
& n17 != n20
& n3 = sum(n9,n20)
& n25 = sum(n13,n12)
& n16 = sum(n12,n4)
& n20 = sum(n23,n23)
& n21 = sum(n15,n6)
& n17 = sum(n14,n3)
& n24 = sum(n4,n20)
& n19 = sum(n22,n23)
& n4 = sum(n16,n14)
& n24 = sum(n25,n25)
& n3 != n6
& n12 = sum(n10,n2)
& sum(sum(pred(X43),succ(X38)),sum(pred(X38),succ(X43))) = X39
& n7 = sum(n11,n22)
& n11 = sum(n9,n2)
& n2 != n14
& n15 = sum(n6,n9)
& n1 != n9
& succ(n14) = n15
& n23 != n25
& n1 != n2
& n5 = sum(n11,n20)
& n12 = sum(n4,n8)
& n13 = sum(n9,n4)
& n16 = sum(n7,n9)
& n0 = sum(n6,n20)
& n2 = sum(n18,n10)
& n9 = sum(n2,n7)
& n3 = sum(n11,n18)
& n4 != n19
& n3 = pred(n4)
& n1 != n12
& n3 = sum(n25,n4)
& n3 = sum(n4,n25)
& n11 != n16
& n9 != n15
& n17 = sum(n8,n9)
& n1 = sum(n16,n11)
& n2 != n3
& n19 = pred(n20)
& sum(sum(pred(X3),succ(X3)),sum(pred(X36),succ(X36))) = X46
& sum(sum(pred(X21),succ(X21)),sum(pred(X15),succ(X15))) = X36
& n9 = sum(n13,n22)
& n1 = sum(n0,n1)
& n1 != n15
& n3 != n20
& n5 = sum(n0,n5)
& n10 != n19
& n18 = sum(n4,n14)
& n10 = sum(n9,n1)
& n13 = sum(n7,n6)
& n20 = sum(n20,n0)
& n19 = sum(n23,n22)
& n7 = sum(n16,n17)
& n5 != n24
& n17 = sum(n9,n8)
& succ(n1) = n2
& n5 != n9
& n7 = sum(n12,n21)
& n19 = sum(n3,n16)
& n23 = sum(n8,n15)
& n18 = sum(n16,n2)
& n8 != n25
& n1 = sum(n13,n14)
& n0 = sum(n2,n24)
& n3 != n16
& n10 = sum(n18,n18)
& n0 != n24 ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
? [X17,X12,X7,X44,X6,X32,X28,X36,X5,X33,X4,X50,X8,X10,X49,X43,X25,X35,X34,X38,X14,X42,X40,X31,X27,X15,X41,X16,X13,X30,X1,X9,X46,X2,X51,X24,X45,X23,X21,X22,X11,X26,X29,X20,X37,X18,X47,X39,X19,X0,X3,X48] :
( succ(n0) = n1
& n6 != n25
& n24 = sum(n6,n18)
& n24 = sum(n12,n12)
& sum(sum(pred(X28),succ(X28)),sum(pred(X29),succ(X29))) = X31
& n23 = sum(n14,n9)
& n21 = sum(n2,n19)
& sum(sum(pred(X6),succ(X7)),sum(pred(X7),succ(X6))) = X8
& n21 = sum(n24,n23)
& n21 = sum(n4,n17)
& n11 != n13
& n8 = sum(n8,n0)
& n19 = sum(n18,n1)
& n12 != n22
& sum(sum(pred(X38),succ(X39)),sum(pred(X39),succ(X38))) = X40
& n2 != n9
& n13 = sum(n23,n16)
& n8 = sum(n25,n9)
& succ(n17) = n18
& n0 != n10
& n8 != n9
& n14 != n18
& n7 = sum(n12,n21)
& n19 = sum(n10,n9)
& n10 = sum(n20,n16)
& n17 = sum(n13,n4)
& n21 = sum(n3,n18)
& n8 = sum(n6,n2)
& n25 = sum(n5,n20)
& n9 != n18
& n22 != n23
& n5 = sum(n9,n22)
& n12 = sum(n16,n22)
& n24 = sum(n17,n7)
& n19 != n21
& n7 != n24
& n2 != n3
& ( n16 = X0
| n18 = X0
| n7 = X0
| n2 = X0
| n1 = X0
| n12 = X0
| n23 = X0
| n3 = X0
| n10 = X0
| n17 = X0
| n22 = X0
| n19 = X0
| n20 = X0
| n5 = X0
| n0 = X0
| n15 = X0
| n21 = X0
| n6 = X0
| n8 = X0
| n14 = X0
| n4 = X0
| n24 = X0
| n11 = X0
| n25 = X0
| n13 = X0
| n9 = X0 )
& n9 = sum(n21,n14)
& n8 = sum(n5,n3)
& n5 = sum(n7,n24)
& n14 = sum(n5,n9)
& n18 != n25
& n1 = sum(n22,n5)
& n24 = sum(n23,n1)
& n5 != n25
& n18 = sum(n16,n2)
& n12 = sum(n10,n2)
& sum(sum(pred(X16),succ(X17)),sum(pred(X17),succ(X16))) = X18
& n4 != n12
& n3 != n13
& n6 = sum(n16,n16)
& n1 != n19
& n21 = pred(n22)
& n10 = sum(n0,n10)
& n16 = sum(n21,n21)
& n13 = sum(n5,n8)
& n17 = sum(n7,n10)
& n3 = sum(n18,n11)
& n6 = sum(n21,n11)
& n21 = sum(n10,n11)
& n0 = sum(n14,n12)
& n10 = sum(n22,n14)
& n8 = pred(n9)
& n2 = sum(n3,n25)
& n10 != n14
& n0 != n24
& n22 = sum(n18,n4)
& sum(sum(pred(X18),succ(X18)),sum(pred(X19),succ(X19))) = X21
& n9 != n15
& n22 = sum(n19,n3)
& n14 = sum(n2,n12)
& n19 = sum(n9,n10)
& n18 != n19
& n10 != n19
& n2 != n11
& n10 = sum(n11,n25)
& n5 = sum(n6,n25)
& n20 = pred(n21)
& n19 = sum(n11,n8)
& sum(sum(pred(X42),succ(X42)),sum(pred(X43),succ(X43))) = X45
& n1 = sum(n5,n22)
& n9 = sum(n19,n16)
& n21 != n22
& n9 = sum(n0,n9)
& n10 = pred(n11)
& n10 = sum(n15,n21)
& n6 != n15
& n21 = sum(n19,n2)
& n9 != n20
& n21 = sum(n9,n12)
& n8 = sum(n21,n13)
& n8 = sum(n18,n16)
& sum(sum(pred(X16),succ(X16)),sum(pred(X17),succ(X17))) = X19
& n1 != n20
& n14 = sum(n14,n0)
& n9 = sum(n6,n3)
& n7 = pred(n8)
& n15 = sum(n13,n2)
& n8 = sum(n19,n15)
& n3 = sum(n12,n17)
& n1 != n17
& n18 = sum(n18,n0)
& n17 = sum(n10,n7)
& n17 = sum(n22,n21)
& n5 = sum(n18,n13)
& n3 = sum(n19,n10)
& n22 != n25
& sum(sum(pred(X36),succ(X36)),sum(pred(X37),succ(X37))) = X39
& n3 = sum(n2,n1)
& n13 = sum(n21,n18)
& n10 != n25
& n4 != n7
& n20 != n23
& n7 != n13
& n0 = sum(n5,n21)
& n8 = sum(n3,n5)
& succ(n21) = n22
& sum(sum(pred(X44),succ(X44)),sum(pred(X45),succ(X45))) = X47
& n12 = sum(n22,n16)
& n22 = sum(n13,n9)
& n19 = sum(n5,n14)
& n1 = pred(n2)
& n4 = sum(n24,n6)
& n5 = sum(n12,n19)
& n23 = sum(n16,n7)
& n0 = sum(n0,n0)
& n23 = sum(n18,n5)
& n12 = sum(n19,n19)
& n12 = pred(n13)
& n7 = sum(n15,n18)
& n9 != n13
& n2 = sum(n0,n2)
& n16 = sum(n24,n18)
& n19 = sum(n15,n4)
& n13 != n15
& n5 != n17
& sum(sum(pred(X48),succ(X49)),sum(pred(X49),succ(X48))) = X50
& n6 != n19
& sum(sum(pred(X8),succ(X8)),sum(pred(X9),succ(X9))) = X11
& n8 != n23
& n7 = sum(n3,n4)
& n13 = sum(n14,n25)
& n16 = sum(n3,n13)
& n7 != n12
& n15 = sum(n17,n24)
& n2 = sum(n23,n5)
& n3 != n23
& n14 = sum(n1,n13)
& n0 != n9
& n12 != n25
& n10 = sum(n14,n22)
& n6 = sum(n9,n23)
& n21 = sum(n14,n7)
& n7 = sum(n8,n25)
& n8 = sum(n13,n21)
& n10 != n23
& n16 = sum(n25,n17)
& n4 = pred(n5)
& n8 = sum(n23,n11)
& n6 != n8
& n18 = sum(n3,n15)
& n6 != n7
& n25 = sum(n13,n12)
& n5 != n13
& n20 = sum(n9,n11)
& n16 = sum(n8,n8)
& n5 != n20
& n2 != n21
& n11 = sum(n13,n24)
& n10 != n15
& n6 = sum(n25,n7)
& n10 != n22
& n15 = sum(n11,n4)
& n24 = sum(n3,n21)
& n1 = sum(n24,n3)
& n11 = sum(n8,n3)
& n5 = sum(n1,n4)
& n16 != n21
& n15 = sum(n22,n19)
& n7 = sum(n21,n12)
& n18 = sum(n7,n11)
& n22 = sum(n17,n5)
& ( n11 = X1
| n21 = X1
| n5 = X1
| n24 = X1
| n8 = X1
| n9 = X1
| n12 = X1
| n22 = X1
| n14 = X1
| n13 = X1
| n4 = X1
| n3 = X1
| n1 = X1
| n25 = X1
| n20 = X1
| n15 = X1
| n23 = X1
| n16 = X1
| n2 = X1
| n0 = X1
| n7 = X1
| n18 = X1
| n10 = X1
| n19 = X1
| n17 = X1
| n6 = X1 )
& n8 != n25
& n3 = sum(n1,n2)
& n23 = sum(n25,n24)
& n21 = sum(n11,n10)
& n11 != n15
& n2 != n17
& n3 != n12
& n0 = sum(n2,n24)
& n22 = sum(n6,n16)
& n12 = sum(n0,n12)
& n3 = sum(n25,n4)
& n0 = sum(n19,n7)
& n7 = sum(n2,n5)
& n16 = sum(n12,n4)
& n4 != n20
& n6 = sum(n11,n21)
& n19 = sum(n20,n25)
& succ(n8) = n9
& n9 = sum(n14,n21)
& n8 != n18
& n25 = sum(n11,n14)
& n18 = sum(n17,n1)
& n5 = sum(n21,n10)
& n9 = sum(n24,n11)
& sum(sum(pred(X44),succ(X45)),sum(pred(X45),succ(X44))) = X46
& n7 = sum(n5,n2)
& n3 != n17
& n16 = sum(n2,n14)
& n3 = sum(n15,n14)
& n0 != n6
& sum(sum(pred(X4),succ(X5)),sum(pred(X5),succ(X4))) = X6
& n12 = sum(n5,n7)
& n2 != n16
& n0 != n20
& n12 = sum(n6,n6)
& n22 = sum(n0,n22)
& n3 != n10
& n23 = sum(n5,n18)
& n2 = sum(n21,n7)
& n1 != n7
& n0 = sum(n7,n19)
& n24 = sum(n7,n17)
& n22 = sum(n15,n7)
& n25 = sum(n7,n18)
& n14 = sum(n24,n16)
& n2 = sum(n15,n13)
& n5 != n22
& n3 = sum(n8,n21)
& n14 = sum(n11,n3)
& n12 != n14
& n14 = sum(n10,n4)
& n2 = sum(n14,n14)
& n14 != n24
& n4 = sum(n10,n20)
& n3 = sum(n4,n25)
& n6 != n23
& n3 = sum(n24,n5)
& n9 = sum(n3,n6)
& n12 = sum(n23,n15)
& n5 = pred(n6)
& n6 = sum(n6,n0)
& sum(sum(pred(X36),succ(X37)),sum(pred(X37),succ(X36))) = X38
& n2 != n22
& n24 = sum(n0,n24)
& n15 != n24
& n3 = sum(n11,n18)
& n18 = sum(n1,n17)
& n3 != n15
& n13 = sum(n18,n21)
& n0 = sum(n18,n8)
& n2 = sum(n25,n3)
& n1 = sum(n25,n2)
& n10 = sum(n17,n19)
& n11 = sum(n10,n1)
& n1 != n9
& n3 = sum(n22,n7)
& n7 = sum(n7,n0)
& n14 = sum(n25,n15)
& n17 = sum(n25,n18)
& n22 = sum(n22,n0)
& n5 != n10
& n16 = sum(n16,n0)
& n5 != n19
& n2 != n20
& n7 != n14
& n12 != n16
& n8 != n14
& n2 != n19
& n7 = sum(n20,n13)
& succ(n12) = n13
& sum(sum(pred(X12),succ(X12)),sum(pred(X13),succ(X13))) = X15
& n10 != n24
& n15 = sum(n8,n7)
& n7 = sum(n0,n7)
& n2 = sum(n13,n15)
& n0 != n5
& n4 != n13
& n15 != n19
& n5 != n21
& n19 = pred(n20)
& n16 = sum(n0,n16)
& succ(n7) = n8
& n11 != n22
& n16 = sum(n1,n15)
& n24 = sum(n14,n10)
& n3 != n18
& n5 = sum(n8,n23)
& n5 = sum(n3,n2)
& n16 = sum(n11,n5)
& n20 = sum(n17,n3)
& n17 != n20
& n25 = sum(n18,n7)
& n21 = sum(n17,n4)
& n14 = sum(n21,n19)
& n7 = sum(n22,n11)
& n13 = sum(n25,n14)
& n0 = sum(n17,n9)
& n14 = sum(n15,n25)
& n0 != n14
& n3 = sum(n23,n6)
& n17 = sum(n1,n16)
& n7 != n9
& n20 != n24
& n18 = sum(n2,n16)
& n9 != n12
& n5 = sum(n11,n20)
& n6 = sum(n20,n12)
& n11 = sum(n19,n18)
& sum(sum(pred(X34),succ(X34)),sum(pred(X35),succ(X35))) = X37
& n13 = sum(n7,n6)
& n8 = sum(n1,n7)
& n0 = sum(n22,n4)
& n13 = sum(n9,n4)
& n5 != n8
& n25 = sum(n3,n22)
& n0 != n3
& n13 = sum(n1,n12)
& n14 = sum(n13,n1)
& n1 = sum(n2,n25)
& n13 != n22
& n0 = sum(n11,n15)
& n0 = pred(n1)
& n0 != n13
& n0 = sum(n4,n22)
& n3 != n8
& n11 = sum(n12,n25)
& n10 != n13
& n2 = sum(n19,n9)
& n20 = sum(n15,n5)
& n14 = sum(n23,n17)
& n1 = sum(n23,n4)
& sum(sum(pred(X22),succ(X22)),sum(pred(X23),succ(X23))) = X25
& n20 = sum(n22,n24)
& n17 = sum(n0,n17)
& n4 = sum(n12,n18)
& n10 != n16
& n10 = sum(n13,n23)
& n0 = succ(n25)
& n17 = sum(n9,n8)
& succ(n22) = n23
& n24 = sum(n25,n25)
& n1 = sum(n10,n17)
& n13 != n21
& succ(n19) = n20
& n0 != n2
& n10 = sum(n1,n9)
& n22 = sum(n16,n6)
& n16 = sum(n15,n1)
& n4 != n18
& n6 != n12
& n17 = sum(n19,n24)
& n15 = sum(n6,n9)
& n17 != n24
& n9 = sum(n22,n13)
& n17 = sum(n21,n22)
& n11 != n14
& n19 = sum(n0,n19)
& n3 = sum(n17,n12)
& n8 = sum(n11,n23)
& n21 = sum(n8,n13)
& n1 = sum(n16,n11)
& n5 != n11
& n15 = sum(n7,n8)
& n21 = sum(n16,n5)
& n14 = sum(n22,n18)
& n10 != n21
& n17 != n19
& n1 = sum(n21,n6)
& n18 = sum(n14,n4)
& n1 != n21
& n23 = pred(n24)
& n4 != n5
& n0 != n18
& n19 = sum(n23,n22)
& n0 = sum(n13,n13)
& n9 = sum(n15,n20)
& n12 = sum(n20,n18)
& n11 != n19
& n22 = sum(n12,n10)
& n2 = pred(n3)
& n4 != n25
& n20 = sum(n6,n14)
& n22 = sum(n20,n2)
& n13 != n20
& n21 != n24
& succ(n15) = n16
& n13 != n23
& n4 = sum(n6,n24)
& n12 = sum(n13,n25)
& sum(sum(pred(X48),succ(X48)),sum(pred(X49),succ(X49))) = X51
& n18 = sum(n25,n19)
& n12 = sum(n12,n0)
& n5 != n15
& succ(n6) = n7
& n1 != n24
& n9 != n17
& n23 = sum(n23,n0)
& n7 != n21
& n21 = sum(n0,n21)
& n23 = sum(n6,n17)
& n9 = sum(n5,n4)
& n10 = sum(n16,n20)
& sum(sum(pred(X12),succ(X13)),sum(pred(X13),succ(X12))) = X14
& n6 = sum(n24,n8)
& n13 = sum(n16,n23)
& n25 = sum(n14,n11)
& n13 != n14
& n25 = sum(n0,n25)
& n21 = sum(n6,n15)
& n9 != n16
& n9 = pred(n10)
& n14 != n25
& n14 != n15
& n0 = sum(n1,n25)
& n13 != n19
& n20 = sum(n4,n16)
& n11 != n16
& n10 = sum(n18,n18)
& n16 = sum(n6,n10)
& n22 = sum(n5,n17)
& n13 = sum(n13,n0)
& n14 != n19
& sum(sum(pred(X24),succ(X24)),sum(pred(X25),succ(X25))) = X27
& n5 != n6
& n20 != n22
& n13 != n17
& n2 = sum(n5,n23)
& n11 = pred(n12)
& n5 = sum(n14,n17)
& n17 = sum(n15,n2)
& n0 = sum(n15,n11)
& n19 = sum(n21,n24)
& n3 = sum(n6,n23)
& succ(n2) = n3
& n11 != n17
& n4 = sum(n9,n21)
& n23 = sum(n0,n23)
& n6 = sum(n8,n24)
& n10 = sum(n25,n11)
& n21 = sum(n25,n22)
& sum(sum(pred(X46),succ(X47)),sum(pred(X47),succ(X46))) = X48
& n3 != n19
& n19 = sum(n25,n20)
& n6 != n13
& n9 != n21
& n20 = sum(n20,n0)
& n22 = sum(n11,n11)
& sum(sum(pred(X32),succ(X32)),sum(pred(X33),succ(X33))) = X35
& n15 = pred(n16)
& n20 = sum(n19,n1)
& n1 != n23
& n23 = sum(n24,n25)
& n13 = sum(n12,n1)
& n2 = sum(n10,n18)
& n8 = sum(n15,n19)
& n1 != n16
& n6 != n11
& n4 = sum(n11,n19)
& n0 = sum(n25,n1)
& n18 = sum(n10,n8)
& n15 = sum(n15,n0)
& n10 = sum(n2,n8)
& n9 = sum(n2,n7)
& n7 = sum(n13,n20)
& n15 = sum(n1,n14)
& n11 != n18
& n15 != n20
& n20 = sum(n3,n17)
& n2 = sum(n11,n17)
& sum(sum(pred(X0),succ(X0)),sum(pred(X1),succ(X1))) = X3
& n25 = sum(n25,n0)
& n0 != n16
& n23 = sum(n22,n1)
& n4 = sum(n25,n5)
& n23 = sum(n19,n4)
& n8 = sum(n12,n22)
& n1 != n11
& n14 = sum(n9,n5)
& n23 = sum(n8,n15)
& n16 = sum(n9,n7)
& sum(sum(pred(X10),succ(X10)),sum(pred(X11),succ(X11))) = X13
& sum(sum(pred(X26),succ(X26)),sum(pred(X27),succ(X27))) = X29
& n19 != n25
& n1 != n8
& n13 != n18
& n22 = sum(n10,n12)
& n19 = sum(n17,n2)
& n22 = sum(n14,n8)
& n12 = sum(n24,n14)
& n1 = sum(n20,n7)
& n25 = sum(n21,n4)
& n9 = sum(n18,n17)
& n8 = sum(n14,n20)
& n24 = sum(n16,n8)
& n8 = sum(n9,n25)
& n17 = sum(n5,n12)
& n10 != n18
& n22 = sum(n24,n24)
& n11 != n23
& succ(n10) = n11
& sum(sum(pred(X28),succ(X29)),sum(pred(X29),succ(X28))) = X30
& n24 = sum(n21,n3)
& n24 = sum(n1,n23)
& n6 = sum(n12,n20)
& n2 != n12
& n11 = sum(n3,n8)
& n19 != n23
& n9 != n19
& n6 = sum(n15,n17)
& n9 != n24
& n7 = sum(n6,n1)
& n10 != n11
& n3 = sum(n7,n22)
& n13 = sum(n2,n11)
& n20 = sum(n23,n23)
& n12 = sum(n21,n17)
& n23 = sum(n11,n12)
& n17 = sum(n11,n6)
& n20 = sum(n14,n6)
& n6 = sum(n2,n4)
& n20 != n25
& n0 != n21
& n17 = sum(n24,n19)
& n14 = sum(n16,n24)
& n6 = sum(n0,n6)
& n1 != n14
& n5 != n23
& n4 = sum(n21,n9)
& n0 = sum(n24,n2)
& n6 != n16
& n4 = sum(n23,n7)
& n2 = sum(n8,n20)
& n9 = sum(n16,n19)
& n4 != n24
& n3 = sum(n5,n24)
& n23 = sum(n15,n8)
& n11 = sum(n9,n2)
& n4 = sum(n5,n25)
& n9 != n25
& n9 = sum(n20,n15)
& n7 != n25
& n19 = sum(n4,n15)
& n4 != n6
& n10 = sum(n12,n24)
& n15 = sum(n2,n13)
& n21 = sum(n13,n8)
& n23 = sum(n13,n10)
& n25 = sum(n16,n9)
& n5 = sum(n13,n18)
& n16 = sum(n14,n2)
& n8 = sum(n0,n8)
& n23 = sum(n17,n6)
& n4 != n15
& succ(n11) = n12
& n5 != n12
& n6 != n18
& n2 = sum(n9,n19)
& n17 = sum(n20,n23)
& n3 != n16
& n15 = sum(n18,n23)
& n11 != n20
& n6 = pred(n7)
& n22 = sum(n2,n20)
& sum(sum(pred(X0),succ(X1)),sum(pred(X1),succ(X0))) = X2
& n8 != n22
& n13 = sum(n11,n2)
& n8 != n19
& n15 = sum(n10,n5)
& n15 = sum(n0,n15)
& n15 != n17
& n9 = sum(n12,n23)
& n14 = pred(n15)
& n1 != n18
& sum(sum(pred(X20),succ(X20)),sum(pred(X21),succ(X21))) = X23
& n7 != n23
& n12 = sum(n14,n24)
& n7 = sum(n23,n10)
& n3 != n24
& n11 = sum(n25,n12)
& n17 = sum(n12,n5)
& n2 != n14
& sum(sum(pred(X46),succ(X46)),sum(pred(X47),succ(X47))) = X49
& n16 != n24
& n21 != n23
& n14 != n21
& n1 = sum(n13,n14)
& n2 = sum(n24,n4)
& sum(sum(pred(X38),succ(X38)),sum(pred(X39),succ(X39))) = X41
& n4 = sum(n17,n13)
& n14 != n23
& n3 = pred(n4)
& n5 != n16
& n8 != n20
& n6 != n20
& n4 != n8
& n0 = sum(n3,n23)
& n22 = pred(n23)
& n8 != n13
& n21 = sum(n12,n9)
& n18 != n20
& n23 = sum(n4,n19)
& n16 = sum(n20,n22)
& n10 = sum(n10,n0)
& n2 != n6
& n8 = sum(n4,n4)
& n16 = sum(n10,n6)
& n2 != n24
& n2 = sum(n1,n1)
& n13 = sum(n24,n15)
& n14 = sum(n8,n6)
& n16 = sum(n13,n3)
& n1 = sum(n6,n21)
& n11 = sum(n1,n10)
& n3 = sum(n10,n19)
& n3 != n5
& n18 = sum(n20,n24)
& n1 = sum(n15,n12)
& n12 != n20
& n1 = sum(n14,n13)
& n24 = sum(n5,n19)
& n24 = sum(n19,n5)
& n16 != n23
& n12 = sum(n11,n1)
& n23 = sum(n9,n14)
& n15 = sum(n3,n12)
& n9 = sum(n13,n22)
& n18 = sum(n15,n3)
& n13 = sum(n8,n5)
& n24 = sum(n15,n9)
& n23 = sum(n3,n20)
& n0 != n1
& n6 = sum(n1,n5)
& n17 = sum(n4,n13)
& sum(sum(pred(X34),succ(X35)),sum(pred(X35),succ(X34))) = X36
& n12 != n15
& n16 = sum(n7,n9)
& sum(sum(pred(X18),succ(X19)),sum(pred(X19),succ(X18))) = X20
& n3 != n9
& n3 != n11
& n12 != n21
& n13 = sum(n15,n24)
& n1 != n15
& n12 = sum(n8,n4)
& succ(n5) = n6
& n22 != n24
& succ(n16) = n17
& n0 = sum(n8,n18)
& n2 = sum(n6,n22)
& n12 != n13
& n15 != n21
& n6 != n24
& succ(n4) = n5
& n2 != n18
& n13 = sum(n20,n19)
& n18 = sum(n5,n13)
& n2 != n4
& n15 = sum(n16,n25)
& n25 = sum(n4,n21)
& n3 != n22
& n9 = sum(n8,n1)
& n12 != n24
& n11 = sum(n23,n14)
& n11 = sum(n20,n17)
& n20 = sum(n10,n10)
& n5 != n7
& ( X20 != X21
| X50 != X51
| X4 != X5
| X6 != X7
| X2 != X3
| X48 != X49
| X24 != X25
| X12 != X13
| X16 != X17
| X22 != X23
| X46 != X47
| X36 != X37
| X14 != X15
| X8 != X9
| X44 != X45
| X34 != X35
| X32 != X33
| X40 != X41
| X10 != X11
| X42 != X43
| X26 != X27
| X18 != X19
| X38 != X39
| X28 != X29
| X30 != X31 )
& n17 != n22
& n22 = sum(n4,n18)
& n19 = sum(n1,n18)
& n16 != n18
& n6 != n10
& succ(n20) = n21
& n23 = sum(n1,n22)
& n3 != n6
& n6 != n9
& n21 = sum(n20,n1)
& n5 = sum(n0,n5)
& n1 != n13
& n25 = sum(n20,n5)
& n22 = sum(n7,n15)
& n9 = sum(n4,n5)
& n12 = sum(n4,n8)
& n24 = sum(n24,n0)
& n21 = sum(n18,n3)
& succ(n24) = n25
& n22 = sum(n8,n14)
& n2 = sum(n22,n6)
& n0 = sum(n20,n6)
& n8 != n21
& n24 = sum(n22,n2)
& n5 = sum(n4,n1)
& n23 = sum(n20,n3)
& n20 != n21
& n19 != n20
& sum(sum(pred(X42),succ(X43)),sum(pred(X43),succ(X42))) = X44
& n9 != n11
& n4 != n23
& n1 != n12
& n3 != n7
& n2 != n23
& n4 = sum(n19,n11)
& n10 = sum(n23,n13)
& n15 != n23
& n14 = sum(n19,n21)
& n8 != n15
& n3 != n21
& n0 != n25
& n0 != n4
& n16 = sum(n4,n12)
& n17 = sum(n6,n11)
& n18 != n22
& n9 = sum(n9,n0)
& n2 = sum(n18,n10)
& n3 = sum(n21,n8)
& n1 = sum(n12,n15)
& n5 = sum(n16,n15)
& n19 = sum(n12,n7)
& n9 = sum(n25,n10)
& n24 = sum(n13,n11)
& n12 = sum(n25,n13)
& sum(sum(pred(X40),succ(X41)),sum(pred(X41),succ(X40))) = X42
& n0 != n12
& n21 = sum(n1,n20)
& n3 = sum(n13,n16)
& sum(sum(pred(X24),succ(X25)),sum(pred(X25),succ(X24))) = X26
& n21 = sum(n21,n0)
& n6 = sum(n7,n25)
& n5 = sum(n10,n21)
& n11 != n21
& n0 != n23
& n21 = sum(n5,n16)
& n24 = sum(n11,n13)
& n4 = sum(n16,n14)
& n25 = pred(n0)
& succ(n18) = n19
& n11 = sum(n17,n20)
& n19 = sum(n6,n13)
& n23 = sum(n10,n13)
& n14 != n17
& n7 != n19
& n20 = sum(n11,n9)
& n24 = sum(n10,n14)
& n12 = sum(n15,n23)
& succ(n14) = n15
& n2 = sum(n20,n8)
& n2 = sum(n7,n21)
& n16 = sum(n5,n11)
& n25 = sum(n12,n13)
& n9 = sum(n10,n25)
& n0 = sum(n9,n17)
& n15 != n25
& n7 = sum(n19,n14)
& n7 != n11
& n15 = sum(n5,n10)
& n9 != n22
& n7 = sum(n10,n23)
& sum(sum(pred(X10),succ(X11)),sum(pred(X11),succ(X10))) = X12
& n10 = sum(n8,n2)
& n4 != n19
& n16 != n20
& n14 = sum(n12,n2)
& n13 != n24
& n7 = sum(n11,n22)
& n21 != n25
& sum(sum(pred(X20),succ(X21)),sum(pred(X21),succ(X20))) = X22
& n2 != n15
& n16 = sum(n18,n24)
& n7 != n8
& n24 != n25
& n10 != n17
& n0 = sum(n21,n5)
& succ(n23) = n24
& n15 = sum(n20,n21)
& n3 = sum(n16,n13)
& n1 != n2
& n10 = sum(n9,n1)
& n22 = sum(n21,n1)
& n3 = sum(n14,n15)
& n3 != n20
& n1 = sum(n1,n0)
& n1 = sum(n17,n10)
& n18 = sum(n24,n20)
& succ(n1) = n2
& n0 != n8
& n18 = sum(n9,n9)
& n2 != n7
& n7 = sum(n4,n3)
& n17 != n21
& sum(sum(pred(X8),succ(X9)),sum(pred(X9),succ(X8))) = X10
& n7 != n10
& n20 = sum(n24,n22)
& n10 = sum(n19,n17)
& n12 = sum(n7,n5)
& n5 = sum(n22,n9)
& n21 = sum(n23,n24)
& n7 = sum(n9,n24)
& n8 != n24
& n25 = sum(n10,n15)
& n14 != n20
& n19 = sum(n24,n21)
& n24 = sum(n18,n6)
& n11 = sum(n14,n23)
& n1 = sum(n0,n1)
& n5 = sum(n15,n16)
& sum(sum(pred(X14),succ(X14)),sum(pred(X15),succ(X15))) = X17
& n6 != n22
& n19 = sum(n16,n3)
& n6 = sum(n5,n1)
& n4 != n14
& n8 = sum(n16,n18)
& n9 = sum(n17,n18)
& n11 = sum(n5,n6)
& n0 != n15
& n7 = sum(n17,n16)
& sum(sum(pred(X40),succ(X40)),sum(pred(X41),succ(X41))) = X43
& n18 != n23
& n21 = sum(n22,n25)
& n16 != n25
& n19 = sum(n2,n17)
& n19 = sum(n3,n16)
& n18 = sum(n0,n18)
& n25 = sum(n24,n1)
& n8 != n11
& n10 = sum(n7,n3)
& n3 = sum(n3,n0)
& n11 != n12
& n4 = sum(n0,n4)
& n6 != n21
& n25 = sum(n15,n10)
& n9 != n23
& n4 != n17
& n23 != n24
& n0 != n17
& n21 = sum(n15,n6)
& n17 = sum(n23,n20)
& n1 = sum(n11,n16)
& n5 = sum(n2,n3)
& n14 != n16
& n15 = sum(n21,n20)
& n18 = sum(n23,n21)
& succ(n9) = n10
& n8 = sum(n20,n14)
& n17 = sum(n8,n9)
& n2 != n13
& n24 = sum(n2,n22)
& n13 = sum(n19,n20)
& succ(n3) = n4
& n22 = sum(n1,n21)
& n19 = sum(n19,n0)
& n8 = sum(n22,n12)
& n4 = sum(n15,n15)
& n6 = sum(n4,n2)
& n18 = pred(n19)
& n7 = sum(n14,n19)
& n0 = sum(n16,n10)
& n18 != n24
& n3 != n25
& n22 = sum(n25,n23)
& n19 = sum(n22,n23)
& n13 = sum(n17,n22)
& n14 = sum(n6,n8)
& n8 = sum(n2,n6)
& n3 = sum(n20,n9)
& n18 != n21
& n1 = sum(n3,n24)
& n9 != n14
& n11 != n25
& n4 != n22
& n7 != n22
& n20 = sum(n21,n25)
& n18 = sum(n4,n14)
& n14 = sum(n18,n22)
& n6 = sum(n18,n14)
& n15 = sum(n24,n17)
& n1 = sum(n18,n9)
& n4 = sum(n13,n17)
& n5 != n14
& n6 = sum(n14,n18)
& n23 = sum(n12,n11)
& n0 = sum(n12,n14)
& n20 = sum(n5,n15)
& n12 = sum(n2,n10)
& n9 != n10
& n5 != n18
& n16 = sum(n17,n25)
& n0 = sum(n23,n3)
& n20 = sum(n7,n13)
& n15 != n18
& n16 = sum(n19,n23)
& n13 = sum(n10,n3)
& n4 = sum(n1,n3)
& n1 = sum(n9,n18)
& n0 != n22
& n1 = sum(n7,n20)
& n6 = sum(n23,n9)
& n8 = sum(n10,n24)
& n16 = pred(n17)
& n4 != n21
& n0 = sum(n10,n16)
& n24 = sum(n8,n16)
& n5 != n24
& n12 = sum(n3,n9)
& n11 != n24
& n12 = sum(n17,n21)
& n4 = sum(n20,n10)
& n5 != n9
& n4 = sum(n22,n8)
& n7 = sum(n24,n9)
& n24 = pred(n25)
& n24 = sum(n4,n20)
& n22 = sum(n9,n13)
& n25 = sum(n2,n23)
& n14 = sum(n7,n7)
& n2 != n10
& n2 = sum(n4,n24)
& n5 = sum(n19,n12)
& n17 = sum(n3,n14)
& n8 != n10
& n4 != n16
& n7 != n16
& n4 = sum(n4,n0)
& n4 = sum(n18,n12)
& n14 = sum(n3,n11)
& n19 = sum(n14,n5)
& n10 = sum(n5,n5)
& n1 != n3
& n13 = sum(n22,n17)
& n7 = sum(n18,n15)
& n1 != n4
& n4 = sum(n14,n16)
& n4 = sum(n7,n23)
& n5 = sum(n5,n0)
& n17 != n25
& n1 != n25
& n16 != n22
& sum(sum(pred(X30),succ(X30)),sum(pred(X31),succ(X31))) = X33
& n13 != n16
& n6 = sum(n17,n15)
& n10 = sum(n6,n4)
& n18 = sum(n12,n6)
& n2 = sum(n2,n0)
& n6 != n17
& n14 = sum(n17,n23)
& sum(sum(pred(X4),succ(X4)),sum(pred(X5),succ(X5))) = X7
& n15 = sum(n25,n16)
& n11 = sum(n16,n21)
& n7 = sum(n1,n6)
& n8 != n17
& n12 = sum(n1,n11)
& n23 = sum(n7,n16)
& n25 = sum(n6,n19)
& n11 = sum(n15,n22)
& n6 = sum(n10,n22)
& sum(sum(pred(X30),succ(X31)),sum(pred(X31),succ(X30))) = X32
& n18 = sum(n6,n12)
& sum(sum(pred(X2),succ(X3)),sum(pred(X3),succ(X2))) = X4
& n17 = sum(n16,n1)
& n5 = sum(n20,n11)
& sum(sum(pred(X14),succ(X15)),sum(pred(X15),succ(X14))) = X16
& n20 = sum(n18,n2)
& n20 = sum(n16,n4)
& n15 = sum(n12,n3)
& n25 = sum(n19,n6)
& n2 != n5
& n19 = sum(n7,n12)
& n22 = sum(n3,n19)
& n18 = sum(n8,n10)
& n12 = sum(n18,n20)
& n15 = sum(n9,n6)
& n1 != n22
& n2 != n8
& n19 != n24
& n16 = sum(n22,n20)
& n6 = sum(n19,n13)
& n11 = sum(n21,n16)
& n9 = sum(n7,n2)
& n11 = sum(n11,n0)
& n0 != n7
& n8 != n16
& n10 = sum(n4,n6)
& n24 = sum(n9,n15)
& n20 = sum(n0,n20)
& n10 != n20
& n19 != n22
& n25 = sum(n9,n16)
& n17 = sum(n14,n3)
& n10 = sum(n21,n15)
& n12 != n23
& n13 != n25
& n15 != n16
& n17 = sum(n17,n0)
& n12 != n18
& n6 = sum(n3,n3)
& n14 = sum(n4,n10)
& n18 = sum(n11,n7)
& n10 = sum(n3,n7)
& n11 = sum(n2,n9)
& n4 != n10
& n14 = sum(n0,n14)
& n17 = sum(n18,n25)
& n4 = sum(n3,n1)
& n7 != n20
& succ(n13) = n14
& n1 != n5
& n8 = sum(n17,n17)
& n1 = sum(n8,n19)
& sum(sum(pred(X6),succ(X6)),sum(pred(X7),succ(X7))) = X9
& n20 = sum(n12,n8)
& n4 = sum(n2,n2)
& n5 = sum(n25,n6)
& n11 = sum(n22,n15)
& n6 != n14
& n18 = sum(n19,n25)
& sum(sum(pred(X32),succ(X33)),sum(pred(X33),succ(X32))) = X34
& n2 = sum(n12,n16)
& n1 = sum(n19,n8)
& n20 = sum(n1,n19)
& sum(sum(pred(X22),succ(X23)),sum(pred(X23),succ(X22))) = X24
& n18 = sum(n22,n22)
& n17 != n18
& n21 = sum(n7,n14)
& n20 = sum(n13,n7)
& n25 = sum(n22,n3)
& n16 != n17
& n20 = sum(n8,n12)
& n11 = sum(n4,n7)
& n5 = sum(n24,n7)
& n3 = sum(n9,n20)
& n4 != n11
& n7 != n15
& sum(sum(pred(X2),succ(X2)),sum(pred(X3),succ(X3))) = X5
& n5 = sum(n17,n14)
& n11 = sum(n24,n13)
& n3 != n14
& n3 = sum(n0,n3)
& n4 != n9
& n13 = sum(n4,n9)
& n8 = sum(n7,n1)
& n8 != n12
& n10 != n12
& n11 = sum(n18,n19)
& n23 = sum(n21,n2)
& n24 = sum(n20,n4)
& n25 = sum(n1,n24)
& n15 = sum(n4,n11)
& n13 = sum(n0,n13)
& n10 = sum(n24,n12)
& n14 = sum(n20,n20)
& n8 = sum(n24,n10)
& n0 = sum(n6,n20)
& n25 = sum(n8,n17)
& n11 = sum(n0,n11)
& n20 = sum(n25,n21)
& n12 = sum(n9,n3)
& n15 = sum(n14,n1)
& n2 = sum(n16,n12)
& n23 = sum(n2,n21)
& n19 = sum(n13,n6)
& n18 = sum(n13,n5)
& n17 != n23
& n1 != n10
& n3 != n4
& n13 = sum(n6,n7)
& n11 = sum(n6,n5)
& n13 = pred(n14)
& n2 = sum(n17,n11)
& n13 = sum(n3,n10)
& n15 = sum(n19,n22)
& n1 != n6
& n7 = sum(n25,n8)
& n2 != n25
& n6 = sum(n13,n19)
& n11 = sum(n7,n4)
& n20 = sum(n2,n18)
& n25 = sum(n17,n8)
& n15 = sum(n23,n18)
& n17 = sum(n2,n15)
& n5 = sum(n23,n8)
& n12 != n19
& n6 = sum(n22,n10)
& n1 = sum(n4,n23)
& n15 != n22
& n25 = sum(n23,n2)
& n0 != n11
& n16 != n19
& n22 = sum(n23,n25)
& n19 = sum(n8,n11)
& n9 = sum(n11,n24)
& n9 = sum(n23,n12)
& n0 != n19
& n23 != n25
& n4 = sum(n8,n22)
& n17 = pred(n18)
& n7 != n17
& n18 = sum(n21,n23)
& n7 = sum(n16,n17)
& n14 != n22
& n12 != n17
& sum(sum(pred(X26),succ(X27)),sum(pred(X27),succ(X26))) = X28
& n16 = sum(n23,n19)
& n7 != n18
& n9 = sum(n1,n8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',try_satisfy_this) ).
fof(f6932,plain,
spl52_1179,
inference(avatar_split_clause,[],[f133,f6929]) ).
fof(f6929,plain,
( spl52_1179
<=> n1 = sum(n7,n20) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1179])]) ).
fof(f133,plain,
n1 = sum(n7,n20),
inference(cnf_transformation,[],[f5]) ).
fof(f6927,plain,
~ spl52_1178,
inference(avatar_split_clause,[],[f16,f6924]) ).
fof(f6924,plain,
( spl52_1178
<=> n5 = n9 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1178])]) ).
fof(f16,plain,
n5 != n9,
inference(cnf_transformation,[],[f5]) ).
fof(f6922,plain,
spl52_1177,
inference(avatar_split_clause,[],[f944,f6919]) ).
fof(f6919,plain,
( spl52_1177
<=> n23 = sum(n18,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1177])]) ).
fof(f944,plain,
n23 = sum(n18,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f6917,plain,
spl52_1176,
inference(avatar_split_clause,[],[f193,f6914]) ).
fof(f6914,plain,
( spl52_1176
<=> n13 = sum(n19,n20) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1176])]) ).
fof(f193,plain,
n13 = sum(n19,n20),
inference(cnf_transformation,[],[f5]) ).
fof(f6912,plain,
spl52_1175,
inference(avatar_split_clause,[],[f47,f6909]) ).
fof(f6909,plain,
( spl52_1175
<=> n2 = sum(n18,n10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1175])]) ).
fof(f47,plain,
n2 = sum(n18,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f6907,plain,
spl52_1174,
inference(avatar_split_clause,[],[f734,f6904]) ).
fof(f6904,plain,
( spl52_1174
<=> n17 = sum(n0,n17) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1174])]) ).
fof(f734,plain,
n17 = sum(n0,n17),
inference(cnf_transformation,[],[f5]) ).
fof(f6902,plain,
spl52_1173,
inference(avatar_split_clause,[],[f938,f6899]) ).
fof(f6899,plain,
( spl52_1173
<=> n16 = sum(n1,n15) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1173])]) ).
fof(f938,plain,
n16 = sum(n1,n15),
inference(cnf_transformation,[],[f5]) ).
fof(f6897,plain,
spl52_1172,
inference(avatar_split_clause,[],[f515,f6894]) ).
fof(f6894,plain,
( spl52_1172
<=> n6 = sum(n8,n24) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1172])]) ).
fof(f515,plain,
n6 = sum(n8,n24),
inference(cnf_transformation,[],[f5]) ).
fof(f6892,plain,
spl52_1171,
inference(avatar_split_clause,[],[f18,f6889]) ).
fof(f6889,plain,
( spl52_1171
<=> n17 = sum(n9,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1171])]) ).
fof(f18,plain,
n17 = sum(n9,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f6887,plain,
spl52_1170,
inference(avatar_split_clause,[],[f321,f6884]) ).
fof(f6884,plain,
( spl52_1170
<=> n21 = sum(n20,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1170])]) ).
fof(f321,plain,
n21 = sum(n20,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f6882,plain,
spl52_1169,
inference(avatar_split_clause,[],[f330,f6879]) ).
fof(f6879,plain,
( spl52_1169
<=> n20 = sum(n15,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1169])]) ).
fof(f330,plain,
n20 = sum(n15,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f6877,plain,
spl52_1168,
inference(avatar_split_clause,[],[f20,f6874]) ).
fof(f6874,plain,
( spl52_1168
<=> n7 = sum(n16,n17) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1168])]) ).
fof(f20,plain,
n7 = sum(n16,n17),
inference(cnf_transformation,[],[f5]) ).
fof(f6872,plain,
spl52_1167,
inference(avatar_split_clause,[],[f41,f6869]) ).
fof(f6869,plain,
( spl52_1167
<=> n3 = sum(n25,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1167])]) ).
fof(f41,plain,
n3 = sum(n25,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f6867,plain,
spl52_1166,
inference(avatar_split_clause,[],[f381,f6864]) ).
fof(f6864,plain,
( spl52_1166
<=> n12 = sum(n24,n14) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1166])]) ).
fof(f381,plain,
n12 = sum(n24,n14),
inference(cnf_transformation,[],[f5]) ).
fof(f6862,plain,
~ spl52_1165,
inference(avatar_split_clause,[],[f1090,f6859]) ).
fof(f6859,plain,
( spl52_1165
<=> n11 = n19 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1165])]) ).
fof(f1090,plain,
n11 != n19,
inference(cnf_transformation,[],[f5]) ).
fof(f6857,plain,
spl52_1164,
inference(avatar_split_clause,[],[f798,f6854]) ).
fof(f6854,plain,
( spl52_1164
<=> n24 = sum(n11,n13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1164])]) ).
fof(f798,plain,
n24 = sum(n11,n13),
inference(cnf_transformation,[],[f5]) ).
fof(f6852,plain,
~ spl52_1163,
inference(avatar_split_clause,[],[f39,f6849]) ).
fof(f6849,plain,
( spl52_1163
<=> n11 = n16 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1163])]) ).
fof(f39,plain,
n11 != n16,
inference(cnf_transformation,[],[f5]) ).
fof(f6847,plain,
spl52_1162,
inference(avatar_split_clause,[],[f1073,f6844]) ).
fof(f6844,plain,
( spl52_1162
<=> n9 = sum(n20,n15) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1162])]) ).
fof(f1073,plain,
n9 = sum(n20,n15),
inference(cnf_transformation,[],[f5]) ).
fof(f6842,plain,
~ spl52_1161,
inference(avatar_split_clause,[],[f99,f6839]) ).
fof(f6839,plain,
( spl52_1161
<=> n1 = n10 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1161])]) ).
fof(f99,plain,
n1 != n10,
inference(cnf_transformation,[],[f5]) ).
fof(f6837,plain,
spl52_1160,
inference(avatar_split_clause,[],[f40,f6834]) ).
fof(f6834,plain,
( spl52_1160
<=> n3 = sum(n4,n25) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1160])]) ).
fof(f40,plain,
n3 = sum(n4,n25),
inference(cnf_transformation,[],[f5]) ).
fof(f6832,plain,
~ spl52_1159,
inference(avatar_split_clause,[],[f75,f6829]) ).
fof(f6829,plain,
( spl52_1159
<=> n10 = n18 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1159])]) ).
fof(f75,plain,
n10 != n18,
inference(cnf_transformation,[],[f5]) ).
fof(f6827,plain,
spl52_1158,
inference(avatar_split_clause,[],[f252,f6824]) ).
fof(f6824,plain,
( spl52_1158
<=> n23 = sum(n25,n24) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1158])]) ).
fof(f252,plain,
n23 = sum(n25,n24),
inference(cnf_transformation,[],[f5]) ).
fof(f6822,plain,
spl52_1157,
inference(avatar_split_clause,[],[f403,f6819]) ).
fof(f6819,plain,
( spl52_1157
<=> n3 = sum(n20,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1157])]) ).
fof(f403,plain,
n3 = sum(n20,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f6817,plain,
spl52_1156,
inference(avatar_split_clause,[],[f1037,f6814]) ).
fof(f6814,plain,
( spl52_1156
<=> n1 = sum(n4,n23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1156])]) ).
fof(f1037,plain,
n1 = sum(n4,n23),
inference(cnf_transformation,[],[f5]) ).
fof(f6812,plain,
spl52_1155,
inference(avatar_split_clause,[],[f326,f6809]) ).
fof(f6809,plain,
( spl52_1155
<=> n4 = sum(n11,n19) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1155])]) ).
fof(f326,plain,
n4 = sum(n11,n19),
inference(cnf_transformation,[],[f5]) ).
fof(f6807,plain,
spl52_1154,
inference(avatar_split_clause,[],[f1081,f6804]) ).
fof(f6804,plain,
( spl52_1154
<=> n22 = sum(n2,n20) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1154])]) ).
fof(f1081,plain,
n22 = sum(n2,n20),
inference(cnf_transformation,[],[f5]) ).
fof(f6802,plain,
spl52_1153,
inference(avatar_split_clause,[],[f950,f6799]) ).
fof(f6799,plain,
( spl52_1153
<=> succ(n2) = n3 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1153])]) ).
fof(f950,plain,
succ(n2) = n3,
inference(cnf_transformation,[],[f5]) ).
fof(f6797,plain,
spl52_1152,
inference(avatar_split_clause,[],[f137,f6794]) ).
fof(f6794,plain,
( spl52_1152
<=> n18 = pred(n19) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1152])]) ).
fof(f137,plain,
n18 = pred(n19),
inference(cnf_transformation,[],[f5]) ).
fof(f6792,plain,
spl52_1151,
inference(avatar_split_clause,[],[f998,f6789]) ).
fof(f6789,plain,
( spl52_1151
<=> n23 = sum(n4,n19) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1151])]) ).
fof(f998,plain,
n23 = sum(n4,n19),
inference(cnf_transformation,[],[f5]) ).
fof(f6787,plain,
spl52_1150,
inference(avatar_split_clause,[],[f144,f6784]) ).
fof(f6784,plain,
( spl52_1150
<=> n14 = sum(n15,n25) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1150])]) ).
fof(f144,plain,
n14 = sum(n15,n25),
inference(cnf_transformation,[],[f5]) ).
fof(f6782,plain,
spl52_1149,
inference(avatar_split_clause,[],[f685,f6779]) ).
fof(f6779,plain,
( spl52_1149
<=> n10 = sum(n8,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1149])]) ).
fof(f685,plain,
n10 = sum(n8,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f6777,plain,
spl52_1148,
inference(avatar_split_clause,[],[f1032,f6774]) ).
fof(f6774,plain,
( spl52_1148
<=> n14 = sum(n13,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1148])]) ).
fof(f1032,plain,
n14 = sum(n13,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f6772,plain,
~ spl52_1147,
inference(avatar_split_clause,[],[f881,f6769]) ).
fof(f6769,plain,
( spl52_1147
<=> n14 = n16 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1147])]) ).
fof(f881,plain,
n14 != n16,
inference(cnf_transformation,[],[f5]) ).
fof(f6767,plain,
spl52_1146,
inference(avatar_split_clause,[],[f1065,f6764]) ).
fof(f6764,plain,
( spl52_1146
<=> n8 = sum(n24,n10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1146])]) ).
fof(f1065,plain,
n8 = sum(n24,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f6762,plain,
spl52_1145,
inference(avatar_split_clause,[],[f179,f6759]) ).
fof(f6759,plain,
( spl52_1145
<=> n5 = sum(n16,n15) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1145])]) ).
fof(f179,plain,
n5 = sum(n16,n15),
inference(cnf_transformation,[],[f5]) ).
fof(f6757,plain,
~ spl52_1144,
inference(avatar_split_clause,[],[f462,f6754]) ).
fof(f6754,plain,
( spl52_1144
<=> n13 = n24 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1144])]) ).
fof(f462,plain,
n13 != n24,
inference(cnf_transformation,[],[f5]) ).
fof(f6752,plain,
spl52_1143,
inference(avatar_split_clause,[],[f581,f6749]) ).
fof(f6749,plain,
( spl52_1143
<=> n11 = sum(n1,n10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1143])]) ).
fof(f581,plain,
n11 = sum(n1,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f6747,plain,
spl52_1142,
inference(avatar_split_clause,[],[f673,f6744]) ).
fof(f6744,plain,
( spl52_1142
<=> n17 = sum(n18,n25) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1142])]) ).
fof(f673,plain,
n17 = sum(n18,n25),
inference(cnf_transformation,[],[f5]) ).
fof(f6742,plain,
spl52_1141,
inference(avatar_split_clause,[],[f1110,f6739]) ).
fof(f6739,plain,
( spl52_1141
<=> n7 = sum(n2,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1141])]) ).
fof(f1110,plain,
n7 = sum(n2,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f6737,plain,
spl52_1140,
inference(avatar_split_clause,[],[f850,f6734]) ).
fof(f6734,plain,
( spl52_1140
<=> n2 = sum(n2,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1140])]) ).
fof(f850,plain,
n2 = sum(n2,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f6732,plain,
~ spl52_1139,
inference(avatar_split_clause,[],[f234,f6729]) ).
fof(f6729,plain,
( spl52_1139
<=> n17 = n25 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1139])]) ).
fof(f234,plain,
n17 != n25,
inference(cnf_transformation,[],[f5]) ).
fof(f6727,plain,
spl52_1138,
inference(avatar_split_clause,[],[f728,f6724]) ).
fof(f6724,plain,
( spl52_1138
<=> n25 = sum(n9,n16) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1138])]) ).
fof(f728,plain,
n25 = sum(n9,n16),
inference(cnf_transformation,[],[f5]) ).
fof(f6722,plain,
~ spl52_1137,
inference(avatar_split_clause,[],[f644,f6719]) ).
fof(f6719,plain,
( spl52_1137
<=> n0 = n15 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1137])]) ).
fof(f644,plain,
n0 != n15,
inference(cnf_transformation,[],[f5]) ).
fof(f6717,plain,
~ spl52_1136,
inference(avatar_split_clause,[],[f665,f6714]) ).
fof(f6714,plain,
( spl52_1136
<=> n1 = n14 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1136])]) ).
fof(f665,plain,
n1 != n14,
inference(cnf_transformation,[],[f5]) ).
fof(f6712,plain,
spl52_1135,
inference(avatar_split_clause,[],[f393,f6709]) ).
fof(f6709,plain,
( spl52_1135
<=> n19 = sum(n7,n12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1135])]) ).
fof(f393,plain,
n19 = sum(n7,n12),
inference(cnf_transformation,[],[f5]) ).
fof(f6707,plain,
~ spl52_1134,
inference(avatar_split_clause,[],[f700,f6704]) ).
fof(f6704,plain,
( spl52_1134
<=> n2 = n10 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1134])]) ).
fof(f700,plain,
n2 != n10,
inference(cnf_transformation,[],[f5]) ).
fof(f6702,plain,
spl52_1133,
inference(avatar_split_clause,[],[f32,f6699]) ).
fof(f6699,plain,
( spl52_1133
<=> sum(sum(pred(sK45),succ(sK45)),sum(pred(sK35),succ(sK35))) = sK29 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1133])]) ).
fof(f32,plain,
sum(sum(pred(sK45),succ(sK45)),sum(pred(sK35),succ(sK35))) = sK29,
inference(cnf_transformation,[],[f5]) ).
fof(f6697,plain,
~ spl52_1132,
inference(avatar_split_clause,[],[f454,f6694]) ).
fof(f6694,plain,
( spl52_1132
<=> n3 = n14 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1132])]) ).
fof(f454,plain,
n3 != n14,
inference(cnf_transformation,[],[f5]) ).
fof(f6692,plain,
~ spl52_1131,
inference(avatar_split_clause,[],[f264,f6689]) ).
fof(f6689,plain,
( spl52_1131
<=> n14 = n17 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1131])]) ).
fof(f264,plain,
n14 != n17,
inference(cnf_transformation,[],[f5]) ).
fof(f6687,plain,
spl52_1130,
inference(avatar_split_clause,[],[f431,f6684]) ).
fof(f6684,plain,
( spl52_1130
<=> n18 = sum(n5,n13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1130])]) ).
fof(f431,plain,
n18 = sum(n5,n13),
inference(cnf_transformation,[],[f5]) ).
fof(f6682,plain,
spl52_1129,
inference(avatar_split_clause,[],[f732,f6679]) ).
fof(f6679,plain,
( spl52_1129
<=> n5 = sum(n9,n22) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1129])]) ).
fof(f732,plain,
n5 = sum(n9,n22),
inference(cnf_transformation,[],[f5]) ).
fof(f6677,plain,
~ spl52_1128,
inference(avatar_split_clause,[],[f595,f6674]) ).
fof(f6674,plain,
( spl52_1128
<=> n2 = n15 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1128])]) ).
fof(f595,plain,
n2 != n15,
inference(cnf_transformation,[],[f5]) ).
fof(f6672,plain,
spl52_1127,
inference(avatar_split_clause,[],[f683,f6669]) ).
fof(f6669,plain,
( spl52_1127
<=> n15 = sum(n3,n12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1127])]) ).
fof(f683,plain,
n15 = sum(n3,n12),
inference(cnf_transformation,[],[f5]) ).
fof(f6667,plain,
spl52_1126,
inference(avatar_split_clause,[],[f64,f6664]) ).
fof(f6664,plain,
( spl52_1126
<=> n24 = sum(n25,n25) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1126])]) ).
fof(f64,plain,
n24 = sum(n25,n25),
inference(cnf_transformation,[],[f5]) ).
fof(f6662,plain,
spl52_1125,
inference(avatar_split_clause,[],[f1049,f6659]) ).
fof(f6659,plain,
( spl52_1125
<=> n0 = sum(n24,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1125])]) ).
fof(f1049,plain,
n0 = sum(n24,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f6657,plain,
~ spl52_1124,
inference(avatar_split_clause,[],[f145,f6654]) ).
fof(f6654,plain,
( spl52_1124
<=> n2 = n17 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1124])]) ).
fof(f145,plain,
n2 != n17,
inference(cnf_transformation,[],[f5]) ).
fof(f6652,plain,
~ spl52_1123,
inference(avatar_split_clause,[],[f818,f6649]) ).
fof(f6649,plain,
( spl52_1123
<=> n4 = n16 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1123])]) ).
fof(f818,plain,
n4 != n16,
inference(cnf_transformation,[],[f5]) ).
fof(f6647,plain,
~ spl52_1122,
inference(avatar_split_clause,[],[f697,f6644]) ).
fof(f6644,plain,
( spl52_1122
<=> n16 = n17 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1122])]) ).
fof(f697,plain,
n16 != n17,
inference(cnf_transformation,[],[f5]) ).
fof(f6642,plain,
spl52_1121,
inference(avatar_split_clause,[],[f592,f6639]) ).
fof(f6639,plain,
( spl52_1121
<=> n5 = sum(n2,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1121])]) ).
fof(f592,plain,
n5 = sum(n2,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f6637,plain,
~ spl52_1120,
inference(avatar_split_clause,[],[f19,f6634]) ).
fof(f6634,plain,
( spl52_1120
<=> n5 = n24 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1120])]) ).
fof(f19,plain,
n5 != n24,
inference(cnf_transformation,[],[f5]) ).
fof(f6632,plain,
spl52_1119,
inference(avatar_split_clause,[],[f186,f6629]) ).
fof(f6629,plain,
( spl52_1119
<=> n18 = sum(n7,n11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1119])]) ).
fof(f186,plain,
n18 = sum(n7,n11),
inference(cnf_transformation,[],[f5]) ).
fof(f6627,plain,
~ spl52_1118,
inference(avatar_split_clause,[],[f514,f6624]) ).
fof(f6624,plain,
( spl52_1118
<=> n18 = n21 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1118])]) ).
fof(f514,plain,
n18 != n21,
inference(cnf_transformation,[],[f5]) ).
fof(f6622,plain,
spl52_1117,
inference(avatar_split_clause,[],[f795,f6619]) ).
fof(f6619,plain,
( spl52_1117
<=> n9 = sum(n12,n23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1117])]) ).
fof(f795,plain,
n9 = sum(n12,n23),
inference(cnf_transformation,[],[f5]) ).
fof(f6617,plain,
spl52_1116,
inference(avatar_split_clause,[],[f465,f6614]) ).
fof(f6614,plain,
( spl52_1116
<=> n1 = sum(n22,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1116])]) ).
fof(f465,plain,
n1 = sum(n22,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f6612,plain,
spl52_1115,
inference(avatar_split_clause,[],[f892,f6609]) ).
fof(f6609,plain,
( spl52_1115
<=> n23 = sum(n17,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1115])]) ).
fof(f892,plain,
n23 = sum(n17,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f6607,plain,
spl52_1114,
inference(avatar_split_clause,[],[f139,f6604]) ).
fof(f6604,plain,
( spl52_1114
<=> n6 = sum(n17,n15) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1114])]) ).
fof(f139,plain,
n6 = sum(n17,n15),
inference(cnf_transformation,[],[f5]) ).
fof(f6602,plain,
spl52_1113,
inference(avatar_split_clause,[],[f485,f6599]) ).
fof(f6599,plain,
( spl52_1113
<=> n0 = sum(n17,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1113])]) ).
fof(f485,plain,
n0 = sum(n17,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f6597,plain,
spl52_1112,
inference(avatar_split_clause,[],[f650,f6594]) ).
fof(f6594,plain,
( spl52_1112
<=> n21 = sum(n11,n10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1112])]) ).
fof(f650,plain,
n21 = sum(n11,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f6592,plain,
spl52_1111,
inference(avatar_split_clause,[],[f230,f6589]) ).
fof(f6589,plain,
( spl52_1111
<=> n9 = sum(n9,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1111])]) ).
fof(f230,plain,
n9 = sum(n9,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f6587,plain,
spl52_1110,
inference(avatar_split_clause,[],[f1069,f6584]) ).
fof(f6584,plain,
( spl52_1110
<=> n24 = sum(n20,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1110])]) ).
fof(f1069,plain,
n24 = sum(n20,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f6582,plain,
spl52_1109,
inference(avatar_split_clause,[],[f31,f6579]) ).
fof(f6579,plain,
( spl52_1109
<=> n9 = sum(n13,n22) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1109])]) ).
fof(f31,plain,
n9 = sum(n13,n22),
inference(cnf_transformation,[],[f5]) ).
fof(f6577,plain,
spl52_1108,
inference(avatar_split_clause,[],[f521,f6574]) ).
fof(f6574,plain,
( spl52_1108
<=> n1 = sum(n6,n21) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1108])]) ).
fof(f521,plain,
n1 = sum(n6,n21),
inference(cnf_transformation,[],[f5]) ).
fof(f6572,plain,
spl52_1107,
inference(avatar_split_clause,[],[f333,f6569]) ).
fof(f6569,plain,
( spl52_1107
<=> n10 = sum(n0,n10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1107])]) ).
fof(f333,plain,
n10 = sum(n0,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f6567,plain,
~ spl52_1106,
inference(avatar_split_clause,[],[f694,f6564]) ).
fof(f6564,plain,
( spl52_1106
<=> n15 = n22 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1106])]) ).
fof(f694,plain,
n15 != n22,
inference(cnf_transformation,[],[f5]) ).
fof(f6562,plain,
spl52_1105,
inference(avatar_split_clause,[],[f79,f6559]) ).
fof(f6559,plain,
( spl52_1105
<=> n13 = sum(n13,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1105])]) ).
fof(f79,plain,
n13 = sum(n13,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f6557,plain,
spl52_1104,
inference(avatar_split_clause,[],[f1034,f6554]) ).
fof(f6554,plain,
( spl52_1104
<=> n25 = sum(n5,n20) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1104])]) ).
fof(f1034,plain,
n25 = sum(n5,n20),
inference(cnf_transformation,[],[f5]) ).
fof(f6552,plain,
spl52_1103,
inference(avatar_split_clause,[],[f915,f6549]) ).
fof(f6549,plain,
( spl52_1103
<=> n25 = sum(n16,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1103])]) ).
fof(f915,plain,
n25 = sum(n16,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f6547,plain,
spl52_1102,
inference(avatar_split_clause,[],[f94,f6544]) ).
fof(f6544,plain,
( spl52_1102
<=> n16 = sum(n6,n10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1102])]) ).
fof(f94,plain,
n16 = sum(n6,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f6542,plain,
~ spl52_1101,
inference(avatar_split_clause,[],[f739,f6539]) ).
fof(f6539,plain,
( spl52_1101
<=> n10 = n23 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1101])]) ).
fof(f739,plain,
n10 != n23,
inference(cnf_transformation,[],[f5]) ).
fof(f6537,plain,
spl52_1100,
inference(avatar_split_clause,[],[f762,f6534]) ).
fof(f6534,plain,
( spl52_1100
<=> n22 = sum(n20,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1100])]) ).
fof(f762,plain,
n22 = sum(n20,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f6532,plain,
~ spl52_1099,
inference(avatar_split_clause,[],[f124,f6529]) ).
fof(f6529,plain,
( spl52_1099
<=> n4 = n17 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1099])]) ).
fof(f124,plain,
n4 != n17,
inference(cnf_transformation,[],[f5]) ).
fof(f6527,plain,
spl52_1098,
inference(avatar_split_clause,[],[f134,f6524]) ).
fof(f6524,plain,
( spl52_1098
<=> n16 = sum(n11,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1098])]) ).
fof(f134,plain,
n16 = sum(n11,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f6522,plain,
spl52_1097,
inference(avatar_split_clause,[],[f594,f6519]) ).
fof(f6519,plain,
( spl52_1097
<=> succ(n21) = n22 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1097])]) ).
fof(f594,plain,
succ(n21) = n22,
inference(cnf_transformation,[],[f5]) ).
fof(f6517,plain,
spl52_1096,
inference(avatar_split_clause,[],[f886,f6514]) ).
fof(f6514,plain,
( spl52_1096
<=> n13 = sum(n1,n12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1096])]) ).
fof(f886,plain,
n13 = sum(n1,n12),
inference(cnf_transformation,[],[f5]) ).
fof(f6512,plain,
spl52_1095,
inference(avatar_split_clause,[],[f138,f6509]) ).
fof(f6509,plain,
( spl52_1095
<=> n6 = sum(n11,n21) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1095])]) ).
fof(f138,plain,
n6 = sum(n11,n21),
inference(cnf_transformation,[],[f5]) ).
fof(f6507,plain,
spl52_1094,
inference(avatar_split_clause,[],[f43,f6504]) ).
fof(f6504,plain,
( spl52_1094
<=> n3 = pred(n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1094])]) ).
fof(f43,plain,
n3 = pred(n4),
inference(cnf_transformation,[],[f5]) ).
fof(f6502,plain,
spl52_1093,
inference(avatar_split_clause,[],[f429,f6499]) ).
fof(f6499,plain,
( spl52_1093
<=> n24 = sum(n17,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1093])]) ).
fof(f429,plain,
n24 = sum(n17,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f6497,plain,
spl52_1092,
inference(avatar_split_clause,[],[f757,f6494]) ).
fof(f6494,plain,
( spl52_1092
<=> n22 = sum(n7,n15) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1092])]) ).
fof(f757,plain,
n22 = sum(n7,n15),
inference(cnf_transformation,[],[f5]) ).
fof(f6492,plain,
spl52_1091,
inference(avatar_split_clause,[],[f283,f6489]) ).
fof(f6489,plain,
( spl52_1091
<=> n15 = sum(n20,n21) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1091])]) ).
fof(f283,plain,
n15 = sum(n20,n21),
inference(cnf_transformation,[],[f5]) ).
fof(f6487,plain,
spl52_1090,
inference(avatar_split_clause,[],[f736,f6484]) ).
fof(f6484,plain,
( spl52_1090
<=> n17 = sum(n5,n12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1090])]) ).
fof(f736,plain,
n17 = sum(n5,n12),
inference(cnf_transformation,[],[f5]) ).
fof(f6482,plain,
spl52_1089,
inference(avatar_split_clause,[],[f323,f6479]) ).
fof(f6479,plain,
( spl52_1089
<=> n0 = sum(n12,n14) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1089])]) ).
fof(f323,plain,
n0 = sum(n12,n14),
inference(cnf_transformation,[],[f5]) ).
fof(f6477,plain,
~ spl52_1088,
inference(avatar_split_clause,[],[f923,f6474]) ).
fof(f6474,plain,
( spl52_1088
<=> n11 = n12 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1088])]) ).
fof(f923,plain,
n11 != n12,
inference(cnf_transformation,[],[f5]) ).
fof(f6472,plain,
spl52_1087,
inference(avatar_split_clause,[],[f842,f6469]) ).
fof(f6469,plain,
( spl52_1087
<=> n1 = sum(n2,n25) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1087])]) ).
fof(f842,plain,
n1 = sum(n2,n25),
inference(cnf_transformation,[],[f5]) ).
fof(f6467,plain,
spl52_1086,
inference(avatar_split_clause,[],[f414,f6464]) ).
fof(f6464,plain,
( spl52_1086
<=> succ(n16) = n17 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1086])]) ).
fof(f414,plain,
succ(n16) = n17,
inference(cnf_transformation,[],[f5]) ).
fof(f6462,plain,
spl52_1085,
inference(avatar_split_clause,[],[f204,f6459]) ).
fof(f6459,plain,
( spl52_1085
<=> n20 = pred(n21) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1085])]) ).
fof(f204,plain,
n20 = pred(n21),
inference(cnf_transformation,[],[f5]) ).
fof(f6457,plain,
~ spl52_1084,
inference(avatar_split_clause,[],[f470,f6454]) ).
fof(f6454,plain,
( spl52_1084
<=> n17 = n18 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1084])]) ).
fof(f470,plain,
n17 != n18,
inference(cnf_transformation,[],[f5]) ).
fof(f6452,plain,
spl52_1083,
inference(avatar_split_clause,[],[f479,f6449]) ).
fof(f6449,plain,
( spl52_1083
<=> n24 = sum(n21,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1083])]) ).
fof(f479,plain,
n24 = sum(n21,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f6447,plain,
spl52_1082,
inference(avatar_split_clause,[],[f370,f6444]) ).
fof(f6444,plain,
( spl52_1082
<=> n9 = pred(n10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1082])]) ).
fof(f370,plain,
n9 = pred(n10),
inference(cnf_transformation,[],[f5]) ).
fof(f6442,plain,
spl52_1081,
inference(avatar_split_clause,[],[f814,f6439]) ).
fof(f6439,plain,
( spl52_1081
<=> n11 = pred(n12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1081])]) ).
fof(f814,plain,
n11 = pred(n12),
inference(cnf_transformation,[],[f5]) ).
fof(f6437,plain,
spl52_1080,
inference(avatar_split_clause,[],[f257,f6434]) ).
fof(f6434,plain,
( spl52_1080
<=> n12 = sum(n0,n12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1080])]) ).
fof(f257,plain,
n12 = sum(n0,n12),
inference(cnf_transformation,[],[f5]) ).
fof(f6432,plain,
spl52_1079,
inference(avatar_split_clause,[],[f449,f6429]) ).
fof(f6429,plain,
( spl52_1079
<=> n14 = sum(n0,n14) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1079])]) ).
fof(f449,plain,
n14 = sum(n0,n14),
inference(cnf_transformation,[],[f5]) ).
fof(f6427,plain,
spl52_1078,
inference(avatar_split_clause,[],[f248,f6424]) ).
fof(f6424,plain,
( spl52_1078
<=> n20 = sum(n18,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1078])]) ).
fof(f248,plain,
n20 = sum(n18,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f6422,plain,
spl52_1077,
inference(avatar_split_clause,[],[f361,f6419]) ).
fof(f6419,plain,
( spl52_1077
<=> n7 = sum(n19,n14) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1077])]) ).
fof(f361,plain,
n7 = sum(n19,n14),
inference(cnf_transformation,[],[f5]) ).
fof(f6417,plain,
spl52_1076,
inference(avatar_split_clause,[],[f725,f6414]) ).
fof(f6414,plain,
( spl52_1076
<=> n14 = sum(n22,n18) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1076])]) ).
fof(f725,plain,
n14 = sum(n22,n18),
inference(cnf_transformation,[],[f5]) ).
fof(f6412,plain,
spl52_1075,
inference(avatar_split_clause,[],[f95,f6409]) ).
fof(f6409,plain,
( spl52_1075
<=> n20 = sum(n19,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1075])]) ).
fof(f95,plain,
n20 = sum(n19,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f6407,plain,
spl52_1074,
inference(avatar_split_clause,[],[f808,f6404]) ).
fof(f6404,plain,
( spl52_1074
<=> n2 = sum(n10,n18) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1074])]) ).
fof(f808,plain,
n2 = sum(n10,n18),
inference(cnf_transformation,[],[f5]) ).
fof(f6402,plain,
spl52_1073,
inference(avatar_split_clause,[],[f873,f6399]) ).
fof(f6399,plain,
( spl52_1073
<=> sK47 = sum(sum(pred(sK17),succ(sK17)),sum(pred(sK6),succ(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1073])]) ).
fof(f873,plain,
sK47 = sum(sum(pred(sK17),succ(sK17)),sum(pred(sK6),succ(sK6))),
inference(cnf_transformation,[],[f5]) ).
fof(f6397,plain,
spl52_1072,
inference(avatar_split_clause,[],[f1068,f6394]) ).
fof(f6394,plain,
( spl52_1072
<=> n6 = sum(n14,n18) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1072])]) ).
fof(f1068,plain,
n6 = sum(n14,n18),
inference(cnf_transformation,[],[f5]) ).
fof(f6392,plain,
spl52_1071,
inference(avatar_split_clause,[],[f547,f6389]) ).
fof(f6389,plain,
( spl52_1071
<=> n25 = sum(n1,n24) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1071])]) ).
fof(f547,plain,
n25 = sum(n1,n24),
inference(cnf_transformation,[],[f5]) ).
fof(f6387,plain,
spl52_1070,
inference(avatar_split_clause,[],[f269,f6384]) ).
fof(f6384,plain,
( spl52_1070
<=> n18 = sum(n6,n12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1070])]) ).
fof(f269,plain,
n18 = sum(n6,n12),
inference(cnf_transformation,[],[f5]) ).
fof(f6382,plain,
spl52_1069,
inference(avatar_split_clause,[],[f147,f6379]) ).
fof(f6379,plain,
( spl52_1069
<=> n11 = sum(n4,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1069])]) ).
fof(f147,plain,
n11 = sum(n4,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f6377,plain,
spl52_1068,
inference(avatar_split_clause,[],[f446,f6374]) ).
fof(f6374,plain,
( spl52_1068
<=> n0 = sum(n20,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1068])]) ).
fof(f446,plain,
n0 = sum(n20,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f6372,plain,
spl52_1067,
inference(avatar_split_clause,[],[f941,f6369]) ).
fof(f6369,plain,
( spl52_1067
<=> n24 = sum(n3,n21) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1067])]) ).
fof(f941,plain,
n24 = sum(n3,n21),
inference(cnf_transformation,[],[f5]) ).
fof(f6367,plain,
spl52_1066,
inference(avatar_split_clause,[],[f1111,f6364]) ).
fof(f6364,plain,
( spl52_1066
<=> sK40 = sum(sum(pred(sK23),succ(sK48)),sum(pred(sK48),succ(sK23))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1066])]) ).
fof(f1111,plain,
sK40 = sum(sum(pred(sK23),succ(sK48)),sum(pred(sK48),succ(sK23))),
inference(cnf_transformation,[],[f5]) ).
fof(f6362,plain,
spl52_1065,
inference(avatar_split_clause,[],[f1057,f6359]) ).
fof(f6359,plain,
( spl52_1065
<=> sum(sum(pred(sK44),succ(sK33)),sum(pred(sK33),succ(sK44))) = sK26 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1065])]) ).
fof(f1057,plain,
sum(sum(pred(sK44),succ(sK33)),sum(pred(sK33),succ(sK44))) = sK26,
inference(cnf_transformation,[],[f5]) ).
fof(f6357,plain,
~ spl52_1064,
inference(avatar_split_clause,[],[f830,f6354]) ).
fof(f6354,plain,
( spl52_1064
<=> n4 = n5 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1064])]) ).
fof(f830,plain,
n4 != n5,
inference(cnf_transformation,[],[f5]) ).
fof(f6352,plain,
spl52_1063,
inference(avatar_split_clause,[],[f327,f6349]) ).
fof(f6349,plain,
( spl52_1063
<=> n6 = sum(n21,n11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1063])]) ).
fof(f327,plain,
n6 = sum(n21,n11),
inference(cnf_transformation,[],[f5]) ).
fof(f6347,plain,
~ spl52_1062,
inference(avatar_split_clause,[],[f695,f6344]) ).
fof(f6344,plain,
( spl52_1062
<=> n13 = n18 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1062])]) ).
fof(f695,plain,
n13 != n18,
inference(cnf_transformation,[],[f5]) ).
fof(f6342,plain,
~ spl52_1061,
inference(avatar_split_clause,[],[f927,f6339]) ).
fof(f6339,plain,
( spl52_1061
<=> n11 = n21 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1061])]) ).
fof(f927,plain,
n11 != n21,
inference(cnf_transformation,[],[f5]) ).
fof(f6337,plain,
spl52_1060,
inference(avatar_split_clause,[],[f383,f6334]) ).
fof(f6334,plain,
( spl52_1060
<=> n24 = sum(n19,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1060])]) ).
fof(f383,plain,
n24 = sum(n19,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f6332,plain,
( spl52_1034
| spl52_1035
| spl52_1036
| spl52_1037
| spl52_1038
| spl52_1039
| spl52_1040
| spl52_1041
| spl52_1042
| spl52_1043
| spl52_1044
| spl52_1045
| spl52_1046
| spl52_1047
| spl52_1048
| spl52_1049
| spl52_1050
| spl52_1051
| spl52_1052
| spl52_1053
| spl52_1054
| spl52_1055
| spl52_1056
| spl52_1057
| spl52_1058
| spl52_1059 ),
inference(avatar_split_clause,[],[f127,f6329,f6325,f6321,f6317,f6313,f6309,f6305,f6301,f6297,f6293,f6289,f6285,f6281,f6277,f6273,f6269,f6265,f6261,f6257,f6253,f6249,f6245,f6241,f6237,f6233,f6229]) ).
fof(f6229,plain,
( spl52_1034
<=> n2 = sK10 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1034])]) ).
fof(f6233,plain,
( spl52_1035
<=> n15 = sK10 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1035])]) ).
fof(f6237,plain,
( spl52_1036
<=> n4 = sK10 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1036])]) ).
fof(f6241,plain,
( spl52_1037
<=> n0 = sK10 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1037])]) ).
fof(f6245,plain,
( spl52_1038
<=> n11 = sK10 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1038])]) ).
fof(f6249,plain,
( spl52_1039
<=> n10 = sK10 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1039])]) ).
fof(f6253,plain,
( spl52_1040
<=> n1 = sK10 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1040])]) ).
fof(f6257,plain,
( spl52_1041
<=> n13 = sK10 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1041])]) ).
fof(f6261,plain,
( spl52_1042
<=> n21 = sK10 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1042])]) ).
fof(f6265,plain,
( spl52_1043
<=> n19 = sK10 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1043])]) ).
fof(f6269,plain,
( spl52_1044
<=> n16 = sK10 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1044])]) ).
fof(f6273,plain,
( spl52_1045
<=> n25 = sK10 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1045])]) ).
fof(f6277,plain,
( spl52_1046
<=> n7 = sK10 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1046])]) ).
fof(f6281,plain,
( spl52_1047
<=> n12 = sK10 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1047])]) ).
fof(f6285,plain,
( spl52_1048
<=> n8 = sK10 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1048])]) ).
fof(f6289,plain,
( spl52_1049
<=> n6 = sK10 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1049])]) ).
fof(f6293,plain,
( spl52_1050
<=> n24 = sK10 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1050])]) ).
fof(f6297,plain,
( spl52_1051
<=> n18 = sK10 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1051])]) ).
fof(f6301,plain,
( spl52_1052
<=> n22 = sK10 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1052])]) ).
fof(f6305,plain,
( spl52_1053
<=> n14 = sK10 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1053])]) ).
fof(f6309,plain,
( spl52_1054
<=> n20 = sK10 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1054])]) ).
fof(f6313,plain,
( spl52_1055
<=> n9 = sK10 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1055])]) ).
fof(f6317,plain,
( spl52_1056
<=> n17 = sK10 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1056])]) ).
fof(f6321,plain,
( spl52_1057
<=> n23 = sK10 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1057])]) ).
fof(f6325,plain,
( spl52_1058
<=> n3 = sK10 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1058])]) ).
fof(f6329,plain,
( spl52_1059
<=> n5 = sK10 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1059])]) ).
fof(f127,plain,
( n5 = sK10
| n3 = sK10
| n23 = sK10
| n17 = sK10
| n9 = sK10
| n20 = sK10
| n14 = sK10
| n22 = sK10
| n18 = sK10
| n24 = sK10
| n6 = sK10
| n8 = sK10
| n12 = sK10
| n7 = sK10
| n25 = sK10
| n16 = sK10
| n19 = sK10
| n21 = sK10
| n13 = sK10
| n1 = sK10
| n10 = sK10
| n11 = sK10
| n0 = sK10
| n4 = sK10
| n15 = sK10
| n2 = sK10 ),
inference(cnf_transformation,[],[f5]) ).
fof(f6227,plain,
spl52_1033,
inference(avatar_split_clause,[],[f696,f6224]) ).
fof(f6224,plain,
( spl52_1033
<=> n18 = sum(n2,n16) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1033])]) ).
fof(f696,plain,
n18 = sum(n2,n16),
inference(cnf_transformation,[],[f5]) ).
fof(f6222,plain,
~ spl52_1032,
inference(avatar_split_clause,[],[f104,f6219]) ).
fof(f6219,plain,
( spl52_1032
<=> n18 = n25 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1032])]) ).
fof(f104,plain,
n18 != n25,
inference(cnf_transformation,[],[f5]) ).
fof(f6217,plain,
spl52_1031,
inference(avatar_split_clause,[],[f482,f6214]) ).
fof(f6214,plain,
( spl52_1031
<=> n1 = sum(n14,n13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1031])]) ).
fof(f482,plain,
n1 = sum(n14,n13),
inference(cnf_transformation,[],[f5]) ).
fof(f6212,plain,
~ spl52_1030,
inference(avatar_split_clause,[],[f813,f6209]) ).
fof(f6209,plain,
( spl52_1030
<=> n12 = n21 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1030])]) ).
fof(f813,plain,
n12 != n21,
inference(cnf_transformation,[],[f5]) ).
fof(f6207,plain,
spl52_1029,
inference(avatar_split_clause,[],[f464,f6204]) ).
fof(f6204,plain,
( spl52_1029
<=> n18 = sum(n23,n21) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1029])]) ).
fof(f464,plain,
n18 = sum(n23,n21),
inference(cnf_transformation,[],[f5]) ).
fof(f6202,plain,
spl52_1028,
inference(avatar_split_clause,[],[f779,f6199]) ).
fof(f6199,plain,
( spl52_1028
<=> sum(sum(pred(sK13),succ(sK24)),sum(pred(sK24),succ(sK13))) = sK31 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1028])]) ).
fof(f779,plain,
sum(sum(pred(sK13),succ(sK24)),sum(pred(sK24),succ(sK13))) = sK31,
inference(cnf_transformation,[],[f5]) ).
fof(f6197,plain,
~ spl52_1027,
inference(avatar_split_clause,[],[f148,f6194]) ).
fof(f6194,plain,
( spl52_1027
<=> n11 = n13 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1027])]) ).
fof(f148,plain,
n11 != n13,
inference(cnf_transformation,[],[f5]) ).
fof(f6192,plain,
spl52_1026,
inference(avatar_split_clause,[],[f520,f6189]) ).
fof(f6189,plain,
( spl52_1026
<=> succ(n24) = n25 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1026])]) ).
fof(f520,plain,
succ(n24) = n25,
inference(cnf_transformation,[],[f5]) ).
fof(f6187,plain,
spl52_1025,
inference(avatar_split_clause,[],[f861,f6184]) ).
fof(f6184,plain,
( spl52_1025
<=> n14 = sum(n3,n11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1025])]) ).
fof(f861,plain,
n14 = sum(n3,n11),
inference(cnf_transformation,[],[f5]) ).
fof(f6182,plain,
spl52_1024,
inference(avatar_split_clause,[],[f637,f6179]) ).
fof(f6179,plain,
( spl52_1024
<=> n18 = sum(n1,n17) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1024])]) ).
fof(f637,plain,
n18 = sum(n1,n17),
inference(cnf_transformation,[],[f5]) ).
fof(f6177,plain,
~ spl52_1023,
inference(avatar_split_clause,[],[f339,f6174]) ).
fof(f6174,plain,
( spl52_1023
<=> n5 = n7 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1023])]) ).
fof(f339,plain,
n5 != n7,
inference(cnf_transformation,[],[f5]) ).
fof(f6172,plain,
spl52_1022,
inference(avatar_split_clause,[],[f730,f6169]) ).
fof(f6169,plain,
( spl52_1022
<=> n6 = sum(n12,n20) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1022])]) ).
fof(f730,plain,
n6 = sum(n12,n20),
inference(cnf_transformation,[],[f5]) ).
fof(f6167,plain,
~ spl52_1021,
inference(avatar_split_clause,[],[f161,f6164]) ).
fof(f6164,plain,
( spl52_1021
<=> n14 = n22 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1021])]) ).
fof(f161,plain,
n14 != n22,
inference(cnf_transformation,[],[f5]) ).
fof(f6162,plain,
spl52_1020,
inference(avatar_split_clause,[],[f418,f6159]) ).
fof(f6159,plain,
( spl52_1020
<=> n8 = sum(n0,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1020])]) ).
fof(f418,plain,
n8 = sum(n0,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f6157,plain,
spl52_1019,
inference(avatar_split_clause,[],[f1103,f6154]) ).
fof(f6154,plain,
( spl52_1019
<=> n2 = sum(n25,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1019])]) ).
fof(f1103,plain,
n2 = sum(n25,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f6152,plain,
~ spl52_1018,
inference(avatar_split_clause,[],[f85,f6149]) ).
fof(f6149,plain,
( spl52_1018
<=> n24 = n25 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1018])]) ).
fof(f85,plain,
n24 != n25,
inference(cnf_transformation,[],[f5]) ).
fof(f6147,plain,
spl52_1017,
inference(avatar_split_clause,[],[f908,f6144]) ).
fof(f6144,plain,
( spl52_1017
<=> sum(sum(pred(sK40),succ(sK40)),sum(pred(sK5),succ(sK5))) = sK32 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1017])]) ).
fof(f908,plain,
sum(sum(pred(sK40),succ(sK40)),sum(pred(sK5),succ(sK5))) = sK32,
inference(cnf_transformation,[],[f5]) ).
fof(f6142,plain,
spl52_1016,
inference(avatar_split_clause,[],[f912,f6139]) ).
fof(f6139,plain,
( spl52_1016
<=> n8 = sum(n7,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1016])]) ).
fof(f912,plain,
n8 = sum(n7,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f6137,plain,
~ spl52_1015,
inference(avatar_split_clause,[],[f448,f6134]) ).
fof(f6134,plain,
( spl52_1015
<=> n21 = n22 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1015])]) ).
fof(f448,plain,
n21 != n22,
inference(cnf_transformation,[],[f5]) ).
fof(f6132,plain,
~ spl52_1014,
inference(avatar_split_clause,[],[f837,f6129]) ).
fof(f6129,plain,
( spl52_1014
<=> n16 = n19 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1014])]) ).
fof(f837,plain,
n16 != n19,
inference(cnf_transformation,[],[f5]) ).
fof(f6127,plain,
spl52_1013,
inference(avatar_split_clause,[],[f52,f6124]) ).
fof(f6124,plain,
( spl52_1013
<=> n5 = sum(n11,n20) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1013])]) ).
fof(f52,plain,
n5 = sum(n11,n20),
inference(cnf_transformation,[],[f5]) ).
fof(f6122,plain,
spl52_1012,
inference(avatar_split_clause,[],[f322,f6119]) ).
fof(f6119,plain,
( spl52_1012
<=> n17 = sum(n11,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1012])]) ).
fof(f322,plain,
n17 = sum(n11,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f6117,plain,
~ spl52_1011,
inference(avatar_split_clause,[],[f988,f6114]) ).
fof(f6114,plain,
( spl52_1011
<=> n4 = n18 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1011])]) ).
fof(f988,plain,
n4 != n18,
inference(cnf_transformation,[],[f5]) ).
fof(f6112,plain,
spl52_1010,
inference(avatar_split_clause,[],[f560,f6109]) ).
fof(f6109,plain,
( spl52_1010
<=> n17 = sum(n20,n23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1010])]) ).
fof(f560,plain,
n17 = sum(n20,n23),
inference(cnf_transformation,[],[f5]) ).
fof(f6107,plain,
spl52_1009,
inference(avatar_split_clause,[],[f202,f6104]) ).
fof(f6104,plain,
( spl52_1009
<=> succ(n12) = n13 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1009])]) ).
fof(f202,plain,
succ(n12) = n13,
inference(cnf_transformation,[],[f5]) ).
fof(f6102,plain,
spl52_1008,
inference(avatar_split_clause,[],[f957,f6099]) ).
fof(f6099,plain,
( spl52_1008
<=> n2 = sum(n1,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1008])]) ).
fof(f957,plain,
n2 = sum(n1,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f6097,plain,
spl52_1007,
inference(avatar_split_clause,[],[f363,f6094]) ).
fof(f6094,plain,
( spl52_1007
<=> n19 = sum(n9,n10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1007])]) ).
fof(f363,plain,
n19 = sum(n9,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f6092,plain,
spl52_1006,
inference(avatar_split_clause,[],[f1067,f6089]) ).
fof(f6089,plain,
( spl52_1006
<=> n25 = sum(n19,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1006])]) ).
fof(f1067,plain,
n25 = sum(n19,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f6087,plain,
spl52_1005,
inference(avatar_split_clause,[],[f530,f6084]) ).
fof(f6084,plain,
( spl52_1005
<=> n0 = sum(n0,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1005])]) ).
fof(f530,plain,
n0 = sum(n0,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f6082,plain,
~ spl52_1004,
inference(avatar_split_clause,[],[f221,f6079]) ).
fof(f6079,plain,
( spl52_1004
<=> n0 = n10 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1004])]) ).
fof(f221,plain,
n0 != n10,
inference(cnf_transformation,[],[f5]) ).
fof(f6077,plain,
spl52_1003,
inference(avatar_split_clause,[],[f450,f6074]) ).
fof(f6074,plain,
( spl52_1003
<=> n17 = sum(n4,n13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1003])]) ).
fof(f450,plain,
n17 = sum(n4,n13),
inference(cnf_transformation,[],[f5]) ).
fof(f6072,plain,
spl52_1002,
inference(avatar_split_clause,[],[f598,f6069]) ).
fof(f6069,plain,
( spl52_1002
<=> n20 = sum(n21,n25) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1002])]) ).
fof(f598,plain,
n20 = sum(n21,n25),
inference(cnf_transformation,[],[f5]) ).
fof(f6067,plain,
spl52_1001,
inference(avatar_split_clause,[],[f334,f6064]) ).
fof(f6064,plain,
( spl52_1001
<=> n19 = sum(n24,n21) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1001])]) ).
fof(f334,plain,
n19 = sum(n24,n21),
inference(cnf_transformation,[],[f5]) ).
fof(f6062,plain,
spl52_1000,
inference(avatar_split_clause,[],[f982,f6059]) ).
fof(f6059,plain,
( spl52_1000
<=> n20 = sum(n25,n21) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1000])]) ).
fof(f982,plain,
n20 = sum(n25,n21),
inference(cnf_transformation,[],[f5]) ).
fof(f6057,plain,
spl52_999,
inference(avatar_split_clause,[],[f727,f6054]) ).
fof(f6054,plain,
( spl52_999
<=> n17 = sum(n12,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_999])]) ).
fof(f727,plain,
n17 = sum(n12,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f6052,plain,
~ spl52_998,
inference(avatar_split_clause,[],[f984,f6049]) ).
fof(f6049,plain,
( spl52_998
<=> n8 = n9 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_998])]) ).
fof(f984,plain,
n8 != n9,
inference(cnf_transformation,[],[f5]) ).
fof(f6047,plain,
~ spl52_997,
inference(avatar_split_clause,[],[f524,f6044]) ).
fof(f6044,plain,
( spl52_997
<=> n7 = n16 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_997])]) ).
fof(f524,plain,
n7 != n16,
inference(cnf_transformation,[],[f5]) ).
fof(f6042,plain,
~ spl52_996,
inference(avatar_split_clause,[],[f296,f6039]) ).
fof(f6039,plain,
( spl52_996
<=> n14 = n18 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_996])]) ).
fof(f296,plain,
n14 != n18,
inference(cnf_transformation,[],[f5]) ).
fof(f6037,plain,
spl52_995,
inference(avatar_split_clause,[],[f255,f6034]) ).
fof(f6034,plain,
( spl52_995
<=> n23 = sum(n13,n10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_995])]) ).
fof(f255,plain,
n23 = sum(n13,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f6032,plain,
spl52_994,
inference(avatar_split_clause,[],[f265,f6029]) ).
fof(f6029,plain,
( spl52_994
<=> n11 = sum(n21,n16) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_994])]) ).
fof(f265,plain,
n11 = sum(n21,n16),
inference(cnf_transformation,[],[f5]) ).
fof(f6027,plain,
spl52_993,
inference(avatar_split_clause,[],[f388,f6024]) ).
fof(f6024,plain,
( spl52_993
<=> n10 = sum(n19,n17) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_993])]) ).
fof(f388,plain,
n10 = sum(n19,n17),
inference(cnf_transformation,[],[f5]) ).
fof(f6022,plain,
spl52_992,
inference(avatar_split_clause,[],[f1046,f6019]) ).
fof(f6019,plain,
( spl52_992
<=> n25 = sum(n17,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_992])]) ).
fof(f1046,plain,
n25 = sum(n17,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f6017,plain,
~ spl52_991,
inference(avatar_split_clause,[],[f920,f6014]) ).
fof(f6014,plain,
( spl52_991
<=> n21 = n25 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_991])]) ).
fof(f920,plain,
n21 != n25,
inference(cnf_transformation,[],[f5]) ).
fof(f6012,plain,
spl52_990,
inference(avatar_split_clause,[],[f368,f6009]) ).
fof(f6009,plain,
( spl52_990
<=> n21 = sum(n2,n19) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_990])]) ).
fof(f368,plain,
n21 = sum(n2,n19),
inference(cnf_transformation,[],[f5]) ).
fof(f6007,plain,
spl52_989,
inference(avatar_split_clause,[],[f332,f6004]) ).
fof(f6004,plain,
( spl52_989
<=> n15 = sum(n9,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_989])]) ).
fof(f332,plain,
n15 = sum(n9,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f6002,plain,
spl52_988,
inference(avatar_split_clause,[],[f907,f5999]) ).
fof(f5999,plain,
( spl52_988
<=> n4 = sum(n0,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_988])]) ).
fof(f907,plain,
n4 = sum(n0,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f5997,plain,
spl52_987,
inference(avatar_split_clause,[],[f291,f5994]) ).
fof(f5994,plain,
( spl52_987
<=> n14 = sum(n5,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_987])]) ).
fof(f291,plain,
n14 = sum(n5,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f5992,plain,
spl52_986,
inference(avatar_split_clause,[],[f784,f5989]) ).
fof(f5989,plain,
( spl52_986
<=> sK22 = sum(sum(pred(sK13),succ(sK13)),sum(pred(sK24),succ(sK24))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_986])]) ).
fof(f784,plain,
sK22 = sum(sum(pred(sK13),succ(sK13)),sum(pred(sK24),succ(sK24))),
inference(cnf_transformation,[],[f5]) ).
fof(f5987,plain,
~ spl52_985,
inference(avatar_split_clause,[],[f153,f5984]) ).
fof(f5984,plain,
( spl52_985
<=> n14 = n24 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_985])]) ).
fof(f153,plain,
n14 != n24,
inference(cnf_transformation,[],[f5]) ).
fof(f5982,plain,
spl52_984,
inference(avatar_split_clause,[],[f786,f5979]) ).
fof(f5979,plain,
( spl52_984
<=> n22 = sum(n6,n16) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_984])]) ).
fof(f786,plain,
n22 = sum(n6,n16),
inference(cnf_transformation,[],[f5]) ).
fof(f5977,plain,
~ spl52_983,
inference(avatar_split_clause,[],[f316,f5974]) ).
fof(f5974,plain,
( spl52_983
<=> n0 = n12 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_983])]) ).
fof(f316,plain,
n0 != n12,
inference(cnf_transformation,[],[f5]) ).
fof(f5972,plain,
~ spl52_982,
inference(avatar_split_clause,[],[f38,f5969]) ).
fof(f5969,plain,
( spl52_982
<=> n9 = n15 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_982])]) ).
fof(f38,plain,
n9 != n15,
inference(cnf_transformation,[],[f5]) ).
fof(f5967,plain,
~ spl52_981,
inference(avatar_split_clause,[],[f1004,f5964]) ).
fof(f5964,plain,
( spl52_981
<=> n5 = n14 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_981])]) ).
fof(f1004,plain,
n5 != n14,
inference(cnf_transformation,[],[f5]) ).
fof(f5962,plain,
spl52_980,
inference(avatar_split_clause,[],[f940,f5959]) ).
fof(f5959,plain,
( spl52_980
<=> n12 = sum(n17,n21) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_980])]) ).
fof(f940,plain,
n12 = sum(n17,n21),
inference(cnf_transformation,[],[f5]) ).
fof(f5957,plain,
spl52_979,
inference(avatar_split_clause,[],[f611,f5954]) ).
fof(f5954,plain,
( spl52_979
<=> n21 = sum(n0,n21) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_979])]) ).
fof(f611,plain,
n21 = sum(n0,n21),
inference(cnf_transformation,[],[f5]) ).
fof(f5952,plain,
spl52_978,
inference(avatar_split_clause,[],[f771,f5949]) ).
fof(f5949,plain,
( spl52_978
<=> n24 = sum(n23,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_978])]) ).
fof(f771,plain,
n24 = sum(n23,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f5947,plain,
~ spl52_977,
inference(avatar_split_clause,[],[f1013,f5944]) ).
fof(f5944,plain,
( spl52_977
<=> n21 = n23 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_977])]) ).
fof(f1013,plain,
n21 != n23,
inference(cnf_transformation,[],[f5]) ).
fof(f5942,plain,
spl52_976,
inference(avatar_split_clause,[],[f918,f5939]) ).
fof(f5939,plain,
( spl52_976
<=> n9 = sum(n19,n16) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_976])]) ).
fof(f918,plain,
n9 = sum(n19,n16),
inference(cnf_transformation,[],[f5]) ).
fof(f5937,plain,
spl52_975,
inference(avatar_split_clause,[],[f722,f5934]) ).
fof(f5934,plain,
( spl52_975
<=> n6 = sum(n0,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_975])]) ).
fof(f722,plain,
n6 = sum(n0,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f5932,plain,
spl52_974,
inference(avatar_split_clause,[],[f309,f5929]) ).
fof(f5929,plain,
( spl52_974
<=> sK28 = sum(sum(pred(sK46),succ(sK46)),sum(pred(sK0),succ(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_974])]) ).
fof(f309,plain,
sK28 = sum(sum(pred(sK46),succ(sK46)),sum(pred(sK0),succ(sK0))),
inference(cnf_transformation,[],[f5]) ).
fof(f5927,plain,
spl52_973,
inference(avatar_split_clause,[],[f210,f5924]) ).
fof(f5924,plain,
( spl52_973
<=> n0 = sum(n15,n11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_973])]) ).
fof(f210,plain,
n0 = sum(n15,n11),
inference(cnf_transformation,[],[f5]) ).
fof(f5922,plain,
spl52_972,
inference(avatar_split_clause,[],[f408,f5919]) ).
fof(f5919,plain,
( spl52_972
<=> n21 = sum(n16,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_972])]) ).
fof(f408,plain,
n21 = sum(n16,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f5917,plain,
spl52_971,
inference(avatar_split_clause,[],[f463,f5914]) ).
fof(f5914,plain,
( spl52_971
<=> n17 = sum(n23,n20) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_971])]) ).
fof(f463,plain,
n17 = sum(n23,n20),
inference(cnf_transformation,[],[f5]) ).
fof(f5912,plain,
spl52_970,
inference(avatar_split_clause,[],[f600,f5909]) ).
fof(f5909,plain,
( spl52_970
<=> n0 = sum(n4,n22) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_970])]) ).
fof(f600,plain,
n0 = sum(n4,n22),
inference(cnf_transformation,[],[f5]) ).
fof(f5907,plain,
spl52_969,
inference(avatar_split_clause,[],[f362,f5904]) ).
fof(f5904,plain,
( spl52_969
<=> n9 = sum(n16,n19) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_969])]) ).
fof(f362,plain,
n9 = sum(n16,n19),
inference(cnf_transformation,[],[f5]) ).
fof(f5902,plain,
spl52_968,
inference(avatar_split_clause,[],[f1075,f5899]) ).
fof(f5899,plain,
( spl52_968
<=> n10 = sum(n22,n14) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_968])]) ).
fof(f1075,plain,
n10 = sum(n22,n14),
inference(cnf_transformation,[],[f5]) ).
fof(f5897,plain,
spl52_967,
inference(avatar_split_clause,[],[f533,f5894]) ).
fof(f5894,plain,
( spl52_967
<=> n16 = sum(n13,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_967])]) ).
fof(f533,plain,
n16 = sum(n13,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f5892,plain,
~ spl52_966,
inference(avatar_split_clause,[],[f865,f5889]) ).
fof(f5889,plain,
( spl52_966
<=> n4 = n13 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_966])]) ).
fof(f865,plain,
n4 != n13,
inference(cnf_transformation,[],[f5]) ).
fof(f5887,plain,
spl52_965,
inference(avatar_split_clause,[],[f955,f5884]) ).
fof(f5884,plain,
( spl52_965
<=> n10 = sum(n3,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_965])]) ).
fof(f955,plain,
n10 = sum(n3,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f5882,plain,
spl52_964,
inference(avatar_split_clause,[],[f804,f5879]) ).
fof(f5879,plain,
( spl52_964
<=> n4 = sum(n17,n13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_964])]) ).
fof(f804,plain,
n4 = sum(n17,n13),
inference(cnf_transformation,[],[f5]) ).
fof(f5877,plain,
~ spl52_963,
inference(avatar_split_clause,[],[f399,f5874]) ).
fof(f5874,plain,
( spl52_963
<=> n6 = n18 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_963])]) ).
fof(f399,plain,
n6 != n18,
inference(cnf_transformation,[],[f5]) ).
fof(f5872,plain,
spl52_962,
inference(avatar_split_clause,[],[f212,f5869]) ).
fof(f5869,plain,
( spl52_962
<=> n0 = succ(n25) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_962])]) ).
fof(f212,plain,
n0 = succ(n25),
inference(cnf_transformation,[],[f5]) ).
fof(f5867,plain,
spl52_961,
inference(avatar_split_clause,[],[f951,f5864]) ).
fof(f5864,plain,
( spl52_961
<=> n23 = sum(n23,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_961])]) ).
fof(f951,plain,
n23 = sum(n23,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f5862,plain,
~ spl52_960,
inference(avatar_split_clause,[],[f436,f5859]) ).
fof(f5859,plain,
( spl52_960
<=> n5 = n12 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_960])]) ).
fof(f436,plain,
n5 != n12,
inference(cnf_transformation,[],[f5]) ).
fof(f5857,plain,
~ spl52_959,
inference(avatar_split_clause,[],[f272,f5854]) ).
fof(f5854,plain,
( spl52_959
<=> n4 = n20 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_959])]) ).
fof(f272,plain,
n4 != n20,
inference(cnf_transformation,[],[f5]) ).
fof(f5852,plain,
spl52_958,
inference(avatar_split_clause,[],[f93,f5849]) ).
fof(f5849,plain,
( spl52_958
<=> n18 = sum(n15,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_958])]) ).
fof(f93,plain,
n18 = sum(n15,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f5847,plain,
spl52_957,
inference(avatar_split_clause,[],[f13,f5844]) ).
fof(f5844,plain,
( spl52_957
<=> n23 = sum(n8,n15) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_957])]) ).
fof(f13,plain,
n23 = sum(n8,n15),
inference(cnf_transformation,[],[f5]) ).
fof(f5842,plain,
~ spl52_956,
inference(avatar_split_clause,[],[f821,f5839]) ).
fof(f5839,plain,
( spl52_956
<=> n2 = n4 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_956])]) ).
fof(f821,plain,
n2 != n4,
inference(cnf_transformation,[],[f5]) ).
fof(f5837,plain,
spl52_955,
inference(avatar_split_clause,[],[f81,f5834]) ).
fof(f5834,plain,
( spl52_955
<=> n21 = sum(n3,n18) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_955])]) ).
fof(f81,plain,
n21 = sum(n3,n18),
inference(cnf_transformation,[],[f5]) ).
fof(f5832,plain,
~ spl52_954,
inference(avatar_split_clause,[],[f735,f5829]) ).
fof(f5829,plain,
( spl52_954
<=> n2 = n22 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_954])]) ).
fof(f735,plain,
n2 != n22,
inference(cnf_transformation,[],[f5]) ).
fof(f5827,plain,
~ spl52_953,
inference(avatar_split_clause,[],[f304,f5824]) ).
fof(f5824,plain,
( spl52_953
<=> n15 = n21 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_953])]) ).
fof(f304,plain,
n15 != n21,
inference(cnf_transformation,[],[f5]) ).
fof(f5822,plain,
spl52_952,
inference(avatar_split_clause,[],[f620,f5819]) ).
fof(f5819,plain,
( spl52_952
<=> n18 = sum(n14,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_952])]) ).
fof(f620,plain,
n18 = sum(n14,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f5817,plain,
spl52_951,
inference(avatar_split_clause,[],[f421,f5814]) ).
fof(f5814,plain,
( spl52_951
<=> succ(n17) = n18 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_951])]) ).
fof(f421,plain,
succ(n17) = n18,
inference(cnf_transformation,[],[f5]) ).
fof(f5812,plain,
~ spl52_950,
inference(avatar_split_clause,[],[f713,f5809]) ).
fof(f5809,plain,
( spl52_950
<=> n4 = n22 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_950])]) ).
fof(f713,plain,
n4 != n22,
inference(cnf_transformation,[],[f5]) ).
fof(f5807,plain,
spl52_949,
inference(avatar_split_clause,[],[f441,f5804]) ).
fof(f5804,plain,
( spl52_949
<=> n5 = sum(n8,n23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_949])]) ).
fof(f441,plain,
n5 = sum(n8,n23),
inference(cnf_transformation,[],[f5]) ).
fof(f5802,plain,
~ spl52_948,
inference(avatar_split_clause,[],[f494,f5799]) ).
fof(f5799,plain,
( spl52_948
<=> n13 = n20 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_948])]) ).
fof(f494,plain,
n13 != n20,
inference(cnf_transformation,[],[f5]) ).
fof(f5797,plain,
spl52_947,
inference(avatar_split_clause,[],[f790,f5794]) ).
fof(f5794,plain,
( spl52_947
<=> n17 = sum(n10,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_947])]) ).
fof(f790,plain,
n17 = sum(n10,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f5792,plain,
spl52_946,
inference(avatar_split_clause,[],[f671,f5789]) ).
fof(f5789,plain,
( spl52_946
<=> succ(n18) = n19 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_946])]) ).
fof(f671,plain,
succ(n18) = n19,
inference(cnf_transformation,[],[f5]) ).
fof(f5787,plain,
spl52_945,
inference(avatar_split_clause,[],[f993,f5784]) ).
fof(f5784,plain,
( spl52_945
<=> n24 = sum(n5,n19) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_945])]) ).
fof(f993,plain,
n24 = sum(n5,n19),
inference(cnf_transformation,[],[f5]) ).
fof(f5782,plain,
~ spl52_944,
inference(avatar_split_clause,[],[f270,f5779]) ).
fof(f5779,plain,
( spl52_944
<=> n4 = n24 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_944])]) ).
fof(f270,plain,
n4 != n24,
inference(cnf_transformation,[],[f5]) ).
fof(f5777,plain,
spl52_943,
inference(avatar_split_clause,[],[f895,f5774]) ).
fof(f5774,plain,
( spl52_943
<=> sK49 = sum(sum(pred(sK36),succ(sK36)),sum(pred(sK32),succ(sK32))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_943])]) ).
fof(f895,plain,
sK49 = sum(sum(pred(sK36),succ(sK36)),sum(pred(sK32),succ(sK32))),
inference(cnf_transformation,[],[f5]) ).
fof(f5772,plain,
spl52_942,
inference(avatar_split_clause,[],[f958,f5769]) ).
fof(f5769,plain,
( spl52_942
<=> n1 = sum(n9,n18) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_942])]) ).
fof(f958,plain,
n1 = sum(n9,n18),
inference(cnf_transformation,[],[f5]) ).
fof(f5767,plain,
spl52_941,
inference(avatar_split_clause,[],[f73,f5764]) ).
fof(f5764,plain,
( spl52_941
<=> n3 = sum(n9,n20) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_941])]) ).
fof(f73,plain,
n3 = sum(n9,n20),
inference(cnf_transformation,[],[f5]) ).
fof(f5762,plain,
spl52_940,
inference(avatar_split_clause,[],[f557,f5759]) ).
fof(f5759,plain,
( spl52_940
<=> n1 = sum(n17,n10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_940])]) ).
fof(f557,plain,
n1 = sum(n17,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f5757,plain,
~ spl52_939,
inference(avatar_split_clause,[],[f1063,f5754]) ).
fof(f5754,plain,
( spl52_939
<=> n5 = n10 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_939])]) ).
fof(f1063,plain,
n5 != n10,
inference(cnf_transformation,[],[f5]) ).
fof(f5752,plain,
spl52_938,
inference(avatar_split_clause,[],[f166,f5749]) ).
fof(f5749,plain,
( spl52_938
<=> n21 = sum(n1,n20) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_938])]) ).
fof(f166,plain,
n21 = sum(n1,n20),
inference(cnf_transformation,[],[f5]) ).
fof(f5747,plain,
~ spl52_937,
inference(avatar_split_clause,[],[f185,f5744]) ).
fof(f5744,plain,
( spl52_937
<=> n0 = n8 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_937])]) ).
fof(f185,plain,
n0 != n8,
inference(cnf_transformation,[],[f5]) ).
fof(f5742,plain,
~ spl52_936,
inference(avatar_split_clause,[],[f315,f5739]) ).
fof(f5739,plain,
( spl52_936
<=> n12 = n23 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_936])]) ).
fof(f315,plain,
n12 != n23,
inference(cnf_transformation,[],[f5]) ).
fof(f5737,plain,
~ spl52_935,
inference(avatar_split_clause,[],[f838,f5734]) ).
fof(f5734,plain,
( spl52_935
<=> n6 = n13 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_935])]) ).
fof(f838,plain,
n6 != n13,
inference(cnf_transformation,[],[f5]) ).
fof(f5732,plain,
~ spl52_934,
inference(avatar_split_clause,[],[f632,f5729]) ).
fof(f5729,plain,
( spl52_934
<=> n10 = n15 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_934])]) ).
fof(f632,plain,
n10 != n15,
inference(cnf_transformation,[],[f5]) ).
fof(f5727,plain,
spl52_933,
inference(avatar_split_clause,[],[f647,f5724]) ).
fof(f5724,plain,
( spl52_933
<=> n1 = sum(n3,n24) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_933])]) ).
fof(f647,plain,
n1 = sum(n3,n24),
inference(cnf_transformation,[],[f5]) ).
fof(f5722,plain,
~ spl52_932,
inference(avatar_split_clause,[],[f84,f5719]) ).
fof(f5719,plain,
( spl52_932
<=> n0 = n19 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_932])]) ).
fof(f84,plain,
n0 != n19,
inference(cnf_transformation,[],[f5]) ).
fof(f5717,plain,
~ spl52_931,
inference(avatar_split_clause,[],[f476,f5714]) ).
fof(f5714,plain,
( spl52_931
<=> n10 = n24 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_931])]) ).
fof(f476,plain,
n10 != n24,
inference(cnf_transformation,[],[f5]) ).
fof(f5712,plain,
spl52_930,
inference(avatar_split_clause,[],[f666,f5709]) ).
fof(f5709,plain,
( spl52_930
<=> sum(sum(pred(sK27),succ(sK27)),sum(pred(sK51),succ(sK51))) = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_930])]) ).
fof(f666,plain,
sum(sum(pred(sK27),succ(sK27)),sum(pred(sK51),succ(sK51))) = sK0,
inference(cnf_transformation,[],[f5]) ).
fof(f5707,plain,
spl52_929,
inference(avatar_split_clause,[],[f1086,f5704]) ).
fof(f5704,plain,
( spl52_929
<=> n25 = sum(n0,n25) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_929])]) ).
fof(f1086,plain,
n25 = sum(n0,n25),
inference(cnf_transformation,[],[f5]) ).
fof(f5702,plain,
spl52_928,
inference(avatar_split_clause,[],[f366,f5699]) ).
fof(f5699,plain,
( spl52_928
<=> n16 = sum(n20,n22) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_928])]) ).
fof(f366,plain,
n16 = sum(n20,n22),
inference(cnf_transformation,[],[f5]) ).
fof(f5697,plain,
spl52_927,
inference(avatar_split_clause,[],[f634,f5694]) ).
fof(f5694,plain,
( spl52_927
<=> n18 = sum(n22,n22) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_927])]) ).
fof(f634,plain,
n18 = sum(n22,n22),
inference(cnf_transformation,[],[f5]) ).
fof(f5692,plain,
spl52_926,
inference(avatar_split_clause,[],[f394,f5689]) ).
fof(f5689,plain,
( spl52_926
<=> n19 = sum(n0,n19) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_926])]) ).
fof(f394,plain,
n19 = sum(n0,n19),
inference(cnf_transformation,[],[f5]) ).
fof(f5687,plain,
~ spl52_925,
inference(avatar_split_clause,[],[f223,f5684]) ).
fof(f5684,plain,
( spl52_925
<=> n6 = n17 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_925])]) ).
fof(f223,plain,
n6 != n17,
inference(cnf_transformation,[],[f5]) ).
fof(f5682,plain,
spl52_924,
inference(avatar_split_clause,[],[f1014,f5679]) ).
fof(f5679,plain,
( spl52_924
<=> sum(sum(pred(sK46),succ(sK0)),sum(pred(sK0),succ(sK46))) = sK50 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_924])]) ).
fof(f1014,plain,
sum(sum(pred(sK46),succ(sK0)),sum(pred(sK0),succ(sK46))) = sK50,
inference(cnf_transformation,[],[f5]) ).
fof(f5677,plain,
spl52_923,
inference(avatar_split_clause,[],[f1105,f5674]) ).
fof(f5674,plain,
( spl52_923
<=> n0 = sum(n14,n12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_923])]) ).
fof(f1105,plain,
n0 = sum(n14,n12),
inference(cnf_transformation,[],[f5]) ).
fof(f5672,plain,
spl52_922,
inference(avatar_split_clause,[],[f373,f5669]) ).
fof(f5669,plain,
( spl52_922
<=> succ(n4) = n5 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_922])]) ).
fof(f373,plain,
succ(n4) = n5,
inference(cnf_transformation,[],[f5]) ).
fof(f5667,plain,
spl52_921,
inference(avatar_split_clause,[],[f772,f5664]) ).
fof(f5664,plain,
( spl52_921
<=> n7 = sum(n15,n18) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_921])]) ).
fof(f772,plain,
n7 = sum(n15,n18),
inference(cnf_transformation,[],[f5]) ).
fof(f5662,plain,
spl52_920,
inference(avatar_split_clause,[],[f847,f5659]) ).
fof(f5659,plain,
( spl52_920
<=> sum(sum(pred(sK23),succ(sK23)),sum(pred(sK48),succ(sK48))) = sK5 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_920])]) ).
fof(f847,plain,
sum(sum(pred(sK23),succ(sK23)),sum(pred(sK48),succ(sK48))) = sK5,
inference(cnf_transformation,[],[f5]) ).
fof(f5657,plain,
~ spl52_919,
inference(avatar_split_clause,[],[f937,f5654]) ).
fof(f5654,plain,
( spl52_919
<=> n15 = n25 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_919])]) ).
fof(f937,plain,
n15 != n25,
inference(cnf_transformation,[],[f5]) ).
fof(f5652,plain,
spl52_918,
inference(avatar_split_clause,[],[f135,f5649]) ).
fof(f5649,plain,
( spl52_918
<=> n8 = sum(n18,n16) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_918])]) ).
fof(f135,plain,
n8 = sum(n18,n16),
inference(cnf_transformation,[],[f5]) ).
fof(f5647,plain,
spl52_917,
inference(avatar_split_clause,[],[f371,f5644]) ).
fof(f5644,plain,
( spl52_917
<=> n17 = sum(n13,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_917])]) ).
fof(f371,plain,
n17 = sum(n13,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f5642,plain,
spl52_916,
inference(avatar_split_clause,[],[f691,f5639]) ).
fof(f5639,plain,
( spl52_916
<=> n5 = sum(n19,n12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_916])]) ).
fof(f691,plain,
n5 = sum(n19,n12),
inference(cnf_transformation,[],[f5]) ).
fof(f5637,plain,
~ spl52_915,
inference(avatar_split_clause,[],[f42,f5634]) ).
fof(f5634,plain,
( spl52_915
<=> n1 = n12 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_915])]) ).
fof(f42,plain,
n1 != n12,
inference(cnf_transformation,[],[f5]) ).
fof(f5632,plain,
~ spl52_914,
inference(avatar_split_clause,[],[f484,f5629]) ).
fof(f5629,plain,
( spl52_914
<=> n7 = n24 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_914])]) ).
fof(f484,plain,
n7 != n24,
inference(cnf_transformation,[],[f5]) ).
fof(f5627,plain,
spl52_913,
inference(avatar_split_clause,[],[f928,f5624]) ).
fof(f5624,plain,
( spl52_913
<=> n13 = sum(n10,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_913])]) ).
fof(f928,plain,
n13 = sum(n10,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f5622,plain,
~ spl52_912,
inference(avatar_split_clause,[],[f889,f5619]) ).
fof(f5619,plain,
( spl52_912
<=> n13 = n25 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_912])]) ).
fof(f889,plain,
n13 != n25,
inference(cnf_transformation,[],[f5]) ).
fof(f5617,plain,
spl52_911,
inference(avatar_split_clause,[],[f914,f5614]) ).
fof(f5614,plain,
( spl52_911
<=> n2 = sum(n13,n15) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_911])]) ).
fof(f914,plain,
n2 = sum(n13,n15),
inference(cnf_transformation,[],[f5]) ).
fof(f5612,plain,
~ spl52_910,
inference(avatar_split_clause,[],[f314,f5609]) ).
fof(f5609,plain,
( spl52_910
<=> n19 = n21 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_910])]) ).
fof(f314,plain,
n19 != n21,
inference(cnf_transformation,[],[f5]) ).
fof(f5607,plain,
~ spl52_909,
inference(avatar_split_clause,[],[f586,f5604]) ).
fof(f5604,plain,
( spl52_909
<=> n20 = n21 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_909])]) ).
fof(f586,plain,
n20 != n21,
inference(cnf_transformation,[],[f5]) ).
fof(f5602,plain,
spl52_908,
inference(avatar_split_clause,[],[f887,f5599]) ).
fof(f5599,plain,
( spl52_908
<=> n15 = sum(n0,n15) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_908])]) ).
fof(f887,plain,
n15 = sum(n0,n15),
inference(cnf_transformation,[],[f5]) ).
fof(f5597,plain,
spl52_907,
inference(avatar_split_clause,[],[f76,f5594]) ).
fof(f5594,plain,
( spl52_907
<=> n14 = sum(n8,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_907])]) ).
fof(f76,plain,
n14 = sum(n8,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f5592,plain,
spl52_906,
inference(avatar_split_clause,[],[f493,f5589]) ).
fof(f5589,plain,
( spl52_906
<=> n25 = sum(n23,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_906])]) ).
fof(f493,plain,
n25 = sum(n23,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f5587,plain,
spl52_905,
inference(avatar_split_clause,[],[f828,f5584]) ).
fof(f5584,plain,
( spl52_905
<=> n22 = sum(n18,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_905])]) ).
fof(f828,plain,
n22 = sum(n18,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f5582,plain,
spl52_904,
inference(avatar_split_clause,[],[f174,f5579]) ).
fof(f5579,plain,
( spl52_904
<=> n3 = sum(n6,n23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_904])]) ).
fof(f174,plain,
n3 = sum(n6,n23),
inference(cnf_transformation,[],[f5]) ).
fof(f5577,plain,
~ spl52_903,
inference(avatar_split_clause,[],[f750,f5574]) ).
fof(f5574,plain,
( spl52_903
<=> n6 = n22 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_903])]) ).
fof(f750,plain,
n6 != n22,
inference(cnf_transformation,[],[f5]) ).
fof(f5572,plain,
spl52_902,
inference(avatar_split_clause,[],[f111,f5569]) ).
fof(f5569,plain,
( spl52_902
<=> n3 = sum(n8,n21) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_902])]) ).
fof(f111,plain,
n3 = sum(n8,n21),
inference(cnf_transformation,[],[f5]) ).
fof(f5567,plain,
spl52_901,
inference(avatar_split_clause,[],[f263,f5564]) ).
fof(f5564,plain,
( spl52_901
<=> n11 = sum(n0,n11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_901])]) ).
fof(f263,plain,
n11 = sum(n0,n11),
inference(cnf_transformation,[],[f5]) ).
fof(f5562,plain,
spl52_900,
inference(avatar_split_clause,[],[f638,f5559]) ).
fof(f5559,plain,
( spl52_900
<=> n9 = sum(n22,n13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_900])]) ).
fof(f638,plain,
n9 = sum(n22,n13),
inference(cnf_transformation,[],[f5]) ).
fof(f5557,plain,
spl52_899,
inference(avatar_split_clause,[],[f311,f5554]) ).
fof(f5554,plain,
( spl52_899
<=> n1 = pred(n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_899])]) ).
fof(f311,plain,
n1 = pred(n2),
inference(cnf_transformation,[],[f5]) ).
fof(f5552,plain,
~ spl52_898,
inference(avatar_split_clause,[],[f966,f5549]) ).
fof(f5549,plain,
( spl52_898
<=> n20 = n25 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_898])]) ).
fof(f966,plain,
n20 != n25,
inference(cnf_transformation,[],[f5]) ).
fof(f5547,plain,
spl52_897,
inference(avatar_split_clause,[],[f1040,f5544]) ).
fof(f5544,plain,
( spl52_897
<=> n15 = sum(n17,n24) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_897])]) ).
fof(f1040,plain,
n15 = sum(n17,n24),
inference(cnf_transformation,[],[f5]) ).
fof(f5542,plain,
~ spl52_896,
inference(avatar_split_clause,[],[f835,f5539]) ).
fof(f5539,plain,
( spl52_896
<=> n11 = n18 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_896])]) ).
fof(f835,plain,
n11 != n18,
inference(cnf_transformation,[],[f5]) ).
fof(f5537,plain,
spl52_895,
inference(avatar_split_clause,[],[f568,f5534]) ).
fof(f5534,plain,
( spl52_895
<=> n25 = sum(n4,n21) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_895])]) ).
fof(f568,plain,
n25 = sum(n4,n21),
inference(cnf_transformation,[],[f5]) ).
fof(f5532,plain,
spl52_894,
inference(avatar_split_clause,[],[f21,f5529]) ).
fof(f5529,plain,
( spl52_894
<=> n19 = sum(n23,n22) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_894])]) ).
fof(f21,plain,
n19 = sum(n23,n22),
inference(cnf_transformation,[],[f5]) ).
fof(f5527,plain,
spl52_893,
inference(avatar_split_clause,[],[f1026,f5524]) ).
fof(f5524,plain,
( spl52_893
<=> n22 = sum(n5,n17) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_893])]) ).
fof(f1026,plain,
n22 = sum(n5,n17),
inference(cnf_transformation,[],[f5]) ).
fof(f5522,plain,
spl52_892,
inference(avatar_split_clause,[],[f406,f5519]) ).
fof(f5519,plain,
( spl52_892
<=> n22 = sum(n23,n25) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_892])]) ).
fof(f406,plain,
n22 = sum(n23,n25),
inference(cnf_transformation,[],[f5]) ).
fof(f5517,plain,
spl52_891,
inference(avatar_split_clause,[],[f90,f5514]) ).
fof(f5514,plain,
( spl52_891
<=> n1 = sum(n12,n15) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_891])]) ).
fof(f90,plain,
n1 = sum(n12,n15),
inference(cnf_transformation,[],[f5]) ).
fof(f5512,plain,
spl52_890,
inference(avatar_split_clause,[],[f911,f5509]) ).
fof(f5509,plain,
( spl52_890
<=> n4 = sum(n15,n15) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_890])]) ).
fof(f911,plain,
n4 = sum(n15,n15),
inference(cnf_transformation,[],[f5]) ).
fof(f5507,plain,
spl52_889,
inference(avatar_split_clause,[],[f1096,f5504]) ).
fof(f5504,plain,
( spl52_889
<=> n5 = sum(n10,n21) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_889])]) ).
fof(f1096,plain,
n5 = sum(n10,n21),
inference(cnf_transformation,[],[f5]) ).
fof(f5502,plain,
spl52_888,
inference(avatar_split_clause,[],[f846,f5499]) ).
fof(f5499,plain,
( spl52_888
<=> n0 = sum(n5,n21) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_888])]) ).
fof(f846,plain,
n0 = sum(n5,n21),
inference(cnf_transformation,[],[f5]) ).
fof(f5497,plain,
~ spl52_887,
inference(avatar_split_clause,[],[f192,f5494]) ).
fof(f5494,plain,
( spl52_887
<=> n5 = n19 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_887])]) ).
fof(f192,plain,
n5 != n19,
inference(cnf_transformation,[],[f5]) ).
fof(f5492,plain,
~ spl52_886,
inference(avatar_split_clause,[],[f430,f5489]) ).
fof(f5489,plain,
( spl52_886
<=> n7 = n20 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_886])]) ).
fof(f430,plain,
n7 != n20,
inference(cnf_transformation,[],[f5]) ).
fof(f5487,plain,
~ spl52_885,
inference(avatar_split_clause,[],[f1082,f5484]) ).
fof(f5484,plain,
( spl52_885
<=> n2 = n5 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_885])]) ).
fof(f1082,plain,
n2 != n5,
inference(cnf_transformation,[],[f5]) ).
fof(f5482,plain,
spl52_884,
inference(avatar_split_clause,[],[f367,f5479]) ).
fof(f5479,plain,
( spl52_884
<=> n6 = sum(n6,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_884])]) ).
fof(f367,plain,
n6 = sum(n6,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f5477,plain,
spl52_883,
inference(avatar_split_clause,[],[f729,f5474]) ).
fof(f5474,plain,
( spl52_883
<=> n16 = sum(n9,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_883])]) ).
fof(f729,plain,
n16 = sum(n9,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f5472,plain,
spl52_882,
inference(avatar_split_clause,[],[f805,f5469]) ).
fof(f5469,plain,
( spl52_882
<=> n17 = pred(n18) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_882])]) ).
fof(f805,plain,
n17 = pred(n18),
inference(cnf_transformation,[],[f5]) ).
fof(f5467,plain,
spl52_881,
inference(avatar_split_clause,[],[f198,f5464]) ).
fof(f5464,plain,
( spl52_881
<=> n6 = sum(n25,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_881])]) ).
fof(f198,plain,
n6 = sum(n25,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f5462,plain,
~ spl52_880,
inference(avatar_split_clause,[],[f710,f5459]) ).
fof(f5459,plain,
( spl52_880
<=> n0 = n20 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_880])]) ).
fof(f710,plain,
n0 != n20,
inference(cnf_transformation,[],[f5]) ).
fof(f5457,plain,
spl52_879,
inference(avatar_split_clause,[],[f740,f5454]) ).
fof(f5454,plain,
( spl52_879
<=> n11 = sum(n12,n25) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_879])]) ).
fof(f740,plain,
n11 = sum(n12,n25),
inference(cnf_transformation,[],[f5]) ).
fof(f5452,plain,
spl52_878,
inference(avatar_split_clause,[],[f376,f5449]) ).
fof(f5449,plain,
( spl52_878
<=> n20 = sum(n24,n22) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_878])]) ).
fof(f376,plain,
n20 = sum(n24,n22),
inference(cnf_transformation,[],[f5]) ).
fof(f5447,plain,
spl52_877,
inference(avatar_split_clause,[],[f211,f5444]) ).
fof(f5444,plain,
( spl52_877
<=> n25 = sum(n2,n23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_877])]) ).
fof(f211,plain,
n25 = sum(n2,n23),
inference(cnf_transformation,[],[f5]) ).
fof(f5442,plain,
~ spl52_876,
inference(avatar_split_clause,[],[f438,f5439]) ).
fof(f5439,plain,
( spl52_876
<=> n16 = n22 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_876])]) ).
fof(f438,plain,
n16 != n22,
inference(cnf_transformation,[],[f5]) ).
fof(f5437,plain,
spl52_875,
inference(avatar_split_clause,[],[f956,f5434]) ).
fof(f5434,plain,
( spl52_875
<=> n18 = sum(n21,n23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_875])]) ).
fof(f956,plain,
n18 = sum(n21,n23),
inference(cnf_transformation,[],[f5]) ).
fof(f5432,plain,
~ spl52_874,
inference(avatar_split_clause,[],[f1078,f5429]) ).
fof(f5429,plain,
( spl52_874
<=> n5 = n13 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_874])]) ).
fof(f1078,plain,
n5 != n13,
inference(cnf_transformation,[],[f5]) ).
fof(f5427,plain,
spl52_873,
inference(avatar_split_clause,[],[f411,f5424]) ).
fof(f5424,plain,
( spl52_873
<=> sum(sum(pred(sK12),succ(sK3)),sum(pred(sK3),succ(sK12))) = sK44 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_873])]) ).
fof(f411,plain,
sum(sum(pred(sK12),succ(sK3)),sum(pred(sK3),succ(sK12))) = sK44,
inference(cnf_transformation,[],[f5]) ).
fof(f5422,plain,
~ spl52_872,
inference(avatar_split_clause,[],[f590,f5419]) ).
fof(f5419,plain,
( spl52_872
<=> n8 = n21 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_872])]) ).
fof(f590,plain,
n8 != n21,
inference(cnf_transformation,[],[f5]) ).
fof(f5417,plain,
spl52_871,
inference(avatar_split_clause,[],[f702,f5414]) ).
fof(f5414,plain,
( spl52_871
<=> n10 = sum(n6,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_871])]) ).
fof(f702,plain,
n10 = sum(n6,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f5412,plain,
spl52_870,
inference(avatar_split_clause,[],[f969,f5409]) ).
fof(f5409,plain,
( spl52_870
<=> n3 = sum(n3,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_870])]) ).
fof(f969,plain,
n3 = sum(n3,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f5407,plain,
~ spl52_869,
inference(avatar_split_clause,[],[f457,f5404]) ).
fof(f5404,plain,
( spl52_869
<=> n10 = n14 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_869])]) ).
fof(f457,plain,
n10 != n14,
inference(cnf_transformation,[],[f5]) ).
fof(f5402,plain,
spl52_868,
inference(avatar_split_clause,[],[f317,f5399]) ).
fof(f5399,plain,
( spl52_868
<=> n24 = sum(n14,n10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_868])]) ).
fof(f317,plain,
n24 = sum(n14,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f5397,plain,
~ spl52_867,
inference(avatar_split_clause,[],[f801,f5394]) ).
fof(f5394,plain,
( spl52_867
<=> n14 = n21 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_867])]) ).
fof(f801,plain,
n14 != n21,
inference(cnf_transformation,[],[f5]) ).
fof(f5392,plain,
spl52_866,
inference(avatar_split_clause,[],[f570,f5389]) ).
fof(f5389,plain,
( spl52_866
<=> n7 = sum(n6,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_866])]) ).
fof(f570,plain,
n7 = sum(n6,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f5387,plain,
spl52_865,
inference(avatar_split_clause,[],[f486,f5384]) ).
fof(f5384,plain,
( spl52_865
<=> n24 = sum(n18,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_865])]) ).
fof(f486,plain,
n24 = sum(n18,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f5382,plain,
~ spl52_864,
inference(avatar_split_clause,[],[f258,f5379]) ).
fof(f5379,plain,
( spl52_864
<=> n3 = n24 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_864])]) ).
fof(f258,plain,
n3 != n24,
inference(cnf_transformation,[],[f5]) ).
fof(f5377,plain,
spl52_863,
inference(avatar_split_clause,[],[f61,f5374]) ).
fof(f5374,plain,
( spl52_863
<=> sK18 = sum(sum(pred(sK21),succ(sK1)),sum(pred(sK1),succ(sK21))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_863])]) ).
fof(f61,plain,
sK18 = sum(sum(pred(sK21),succ(sK1)),sum(pred(sK1),succ(sK21))),
inference(cnf_transformation,[],[f5]) ).
fof(f5372,plain,
~ spl52_862,
inference(avatar_split_clause,[],[f651,f5369]) ).
fof(f5369,plain,
( spl52_862
<=> n16 = n20 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_862])]) ).
fof(f651,plain,
n16 != n20,
inference(cnf_transformation,[],[f5]) ).
fof(f5367,plain,
spl52_861,
inference(avatar_split_clause,[],[f502,f5364]) ).
fof(f5364,plain,
( spl52_861
<=> n18 = sum(n10,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_861])]) ).
fof(f502,plain,
n18 = sum(n10,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f5362,plain,
spl52_860,
inference(avatar_split_clause,[],[f712,f5359]) ).
fof(f5359,plain,
( spl52_860
<=> n22 = sum(n8,n14) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_860])]) ).
fof(f712,plain,
n22 = sum(n8,n14),
inference(cnf_transformation,[],[f5]) ).
fof(f5357,plain,
spl52_859,
inference(avatar_split_clause,[],[f250,f5354]) ).
fof(f5354,plain,
( spl52_859
<=> n15 = sum(n10,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_859])]) ).
fof(f250,plain,
n15 = sum(n10,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f5352,plain,
spl52_858,
inference(avatar_split_clause,[],[f1020,f5349]) ).
fof(f5349,plain,
( spl52_858
<=> n13 = sum(n5,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_858])]) ).
fof(f1020,plain,
n13 = sum(n5,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f5347,plain,
spl52_857,
inference(avatar_split_clause,[],[f239,f5344]) ).
fof(f5344,plain,
( spl52_857
<=> n22 = sum(n3,n19) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_857])]) ).
fof(f239,plain,
n22 = sum(n3,n19),
inference(cnf_transformation,[],[f5]) ).
fof(f5342,plain,
spl52_856,
inference(avatar_split_clause,[],[f787,f5339]) ).
fof(f5339,plain,
( spl52_856
<=> n21 = sum(n10,n11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_856])]) ).
fof(f787,plain,
n21 = sum(n10,n11),
inference(cnf_transformation,[],[f5]) ).
fof(f5337,plain,
~ spl52_855,
inference(avatar_split_clause,[],[f433,f5334]) ).
fof(f5334,plain,
( spl52_855
<=> n4 = n14 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_855])]) ).
fof(f433,plain,
n4 != n14,
inference(cnf_transformation,[],[f5]) ).
fof(f5332,plain,
~ spl52_854,
inference(avatar_split_clause,[],[f100,f5329]) ).
fof(f5329,plain,
( spl52_854
<=> n6 = n8 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_854])]) ).
fof(f100,plain,
n6 != n8,
inference(cnf_transformation,[],[f5]) ).
fof(f5327,plain,
spl52_853,
inference(avatar_split_clause,[],[f222,f5324]) ).
fof(f5324,plain,
( spl52_853
<=> n0 = sum(n8,n18) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_853])]) ).
fof(f222,plain,
n0 = sum(n8,n18),
inference(cnf_transformation,[],[f5]) ).
fof(f5322,plain,
spl52_852,
inference(avatar_split_clause,[],[f646,f5319]) ).
fof(f5319,plain,
( spl52_852
<=> n13 = sum(n15,n24) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_852])]) ).
fof(f646,plain,
n13 = sum(n15,n24),
inference(cnf_transformation,[],[f5]) ).
fof(f5317,plain,
spl52_851,
inference(avatar_split_clause,[],[f33,f5314]) ).
fof(f5314,plain,
( spl52_851
<=> sum(sum(pred(sK19),succ(sK19)),sum(pred(sK29),succ(sK29))) = sK3 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_851])]) ).
fof(f33,plain,
sum(sum(pred(sK19),succ(sK19)),sum(pred(sK29),succ(sK29))) = sK3,
inference(cnf_transformation,[],[f5]) ).
fof(f5312,plain,
spl52_850,
inference(avatar_split_clause,[],[f935,f5309]) ).
fof(f5309,plain,
( spl52_850
<=> n9 = sum(n14,n21) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_850])]) ).
fof(f935,plain,
n9 = sum(n14,n21),
inference(cnf_transformation,[],[f5]) ).
fof(f5307,plain,
spl52_849,
inference(avatar_split_clause,[],[f597,f5304]) ).
fof(f5304,plain,
( spl52_849
<=> n20 = sum(n6,n14) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_849])]) ).
fof(f597,plain,
n20 = sum(n6,n14),
inference(cnf_transformation,[],[f5]) ).
fof(f5302,plain,
spl52_848,
inference(avatar_split_clause,[],[f340,f5299]) ).
fof(f5299,plain,
( spl52_848
<=> n9 = sum(n21,n14) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_848])]) ).
fof(f340,plain,
n9 = sum(n21,n14),
inference(cnf_transformation,[],[f5]) ).
fof(f5297,plain,
~ spl52_847,
inference(avatar_split_clause,[],[f434,f5294]) ).
fof(f5294,plain,
( spl52_847
<=> n1 = n7 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_847])]) ).
fof(f434,plain,
n1 != n7,
inference(cnf_transformation,[],[f5]) ).
fof(f5292,plain,
~ spl52_846,
inference(avatar_split_clause,[],[f681,f5289]) ).
fof(f5289,plain,
( spl52_846
<=> n12 = n18 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_846])]) ).
fof(f681,plain,
n12 != n18,
inference(cnf_transformation,[],[f5]) ).
fof(f5287,plain,
spl52_845,
inference(avatar_split_clause,[],[f882,f5284]) ).
fof(f5284,plain,
( spl52_845
<=> sum(sum(pred(sK4),succ(sK43)),sum(pred(sK43),succ(sK4))) = sK25 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_845])]) ).
fof(f882,plain,
sum(sum(pred(sK4),succ(sK43)),sum(pred(sK43),succ(sK4))) = sK25,
inference(cnf_transformation,[],[f5]) ).
fof(f5282,plain,
spl52_844,
inference(avatar_split_clause,[],[f810,f5279]) ).
fof(f5279,plain,
( spl52_844
<=> n3 = sum(n14,n15) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_844])]) ).
fof(f810,plain,
n3 = sum(n14,n15),
inference(cnf_transformation,[],[f5]) ).
fof(f5277,plain,
spl52_843,
inference(avatar_split_clause,[],[f342,f5274]) ).
fof(f5274,plain,
( spl52_843
<=> n6 = sum(n4,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_843])]) ).
fof(f342,plain,
n6 = sum(n4,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f5272,plain,
spl52_842,
inference(avatar_split_clause,[],[f194,f5269]) ).
fof(f5269,plain,
( spl52_842
<=> n2 = sum(n4,n24) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_842])]) ).
fof(f194,plain,
n2 = sum(n4,n24),
inference(cnf_transformation,[],[f5]) ).
fof(f5267,plain,
~ spl52_841,
inference(avatar_split_clause,[],[f349,f5264]) ).
fof(f5264,plain,
( spl52_841
<=> n3 = n11 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_841])]) ).
fof(f349,plain,
n3 != n11,
inference(cnf_transformation,[],[f5]) ).
fof(f5262,plain,
spl52_840,
inference(avatar_split_clause,[],[f633,f5259]) ).
fof(f5259,plain,
( spl52_840
<=> n22 = sum(n10,n12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_840])]) ).
fof(f633,plain,
n22 = sum(n10,n12),
inference(cnf_transformation,[],[f5]) ).
fof(f5257,plain,
spl52_839,
inference(avatar_split_clause,[],[f307,f5254]) ).
fof(f5254,plain,
( spl52_839
<=> n21 = sum(n7,n14) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_839])]) ).
fof(f307,plain,
n21 = sum(n7,n14),
inference(cnf_transformation,[],[f5]) ).
fof(f5252,plain,
spl52_838,
inference(avatar_split_clause,[],[f992,f5249]) ).
fof(f5249,plain,
( spl52_838
<=> n20 = sum(n12,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_838])]) ).
fof(f992,plain,
n20 = sum(n12,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f5247,plain,
~ spl52_837,
inference(avatar_split_clause,[],[f939,f5244]) ).
fof(f5244,plain,
( spl52_837
<=> n3 = n7 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_837])]) ).
fof(f939,plain,
n3 != n7,
inference(cnf_transformation,[],[f5]) ).
fof(f5242,plain,
~ spl52_836,
inference(avatar_split_clause,[],[f829,f5239]) ).
fof(f5239,plain,
( spl52_836
<=> n22 = n23 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_836])]) ).
fof(f829,plain,
n22 != n23,
inference(cnf_transformation,[],[f5]) ).
fof(f5237,plain,
~ spl52_835,
inference(avatar_split_clause,[],[f738,f5234]) ).
fof(f5234,plain,
( spl52_835
<=> n3 = n5 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_835])]) ).
fof(f738,plain,
n3 != n5,
inference(cnf_transformation,[],[f5]) ).
fof(f5232,plain,
spl52_834,
inference(avatar_split_clause,[],[f1083,f5229]) ).
fof(f5229,plain,
( spl52_834
<=> n23 = pred(n24) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_834])]) ).
fof(f1083,plain,
n23 = pred(n24),
inference(cnf_transformation,[],[f5]) ).
fof(f5227,plain,
spl52_833,
inference(avatar_split_clause,[],[f244,f5224]) ).
fof(f5224,plain,
( spl52_833
<=> n13 = sum(n24,n15) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_833])]) ).
fof(f244,plain,
n13 = sum(n24,n15),
inference(cnf_transformation,[],[f5]) ).
fof(f5222,plain,
spl52_832,
inference(avatar_split_clause,[],[f721,f5219]) ).
fof(f5219,plain,
( spl52_832
<=> n0 = sum(n11,n15) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_832])]) ).
fof(f721,plain,
n0 = sum(n11,n15),
inference(cnf_transformation,[],[f5]) ).
fof(f5217,plain,
~ spl52_831,
inference(avatar_split_clause,[],[f596,f5214]) ).
fof(f5214,plain,
( spl52_831
<=> n6 = n20 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_831])]) ).
fof(f596,plain,
n6 != n20,
inference(cnf_transformation,[],[f5]) ).
fof(f5212,plain,
~ spl52_830,
inference(avatar_split_clause,[],[f105,f5209]) ).
fof(f5209,plain,
( spl52_830
<=> n9 = n24 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_830])]) ).
fof(f105,plain,
n9 != n24,
inference(cnf_transformation,[],[f5]) ).
fof(f5207,plain,
spl52_829,
inference(avatar_split_clause,[],[f461,f5204]) ).
fof(f5204,plain,
( spl52_829
<=> n19 = sum(n5,n14) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_829])]) ).
fof(f461,plain,
n19 = sum(n5,n14),
inference(cnf_transformation,[],[f5]) ).
fof(f5202,plain,
spl52_828,
inference(avatar_split_clause,[],[f89,f5199]) ).
fof(f5199,plain,
( spl52_828
<=> n6 = sum(n23,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_828])]) ).
fof(f89,plain,
n6 = sum(n23,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f5197,plain,
spl52_827,
inference(avatar_split_clause,[],[f157,f5194]) ).
fof(f5194,plain,
( spl52_827
<=> n7 = sum(n3,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_827])]) ).
fof(f157,plain,
n7 = sum(n3,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f5192,plain,
spl52_826,
inference(avatar_split_clause,[],[f364,f5189]) ).
fof(f5189,plain,
( spl52_826
<=> n18 = sum(n9,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_826])]) ).
fof(f364,plain,
n18 = sum(n9,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f5187,plain,
spl52_825,
inference(avatar_split_clause,[],[f529,f5184]) ).
fof(f5184,plain,
( spl52_825
<=> n6 = sum(n24,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_825])]) ).
fof(f529,plain,
n6 = sum(n24,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f5182,plain,
spl52_824,
inference(avatar_split_clause,[],[f180,f5179]) ).
fof(f5179,plain,
( spl52_824
<=> n13 = pred(n14) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_824])]) ).
fof(f180,plain,
n13 = pred(n14),
inference(cnf_transformation,[],[f5]) ).
fof(f5177,plain,
spl52_823,
inference(avatar_split_clause,[],[f526,f5174]) ).
fof(f5174,plain,
( spl52_823
<=> n21 = sum(n13,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_823])]) ).
fof(f526,plain,
n21 = sum(n13,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f5172,plain,
~ spl52_822,
inference(avatar_split_clause,[],[f1062,f5169]) ).
fof(f5169,plain,
( spl52_822
<=> n13 = n14 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_822])]) ).
fof(f1062,plain,
n13 != n14,
inference(cnf_transformation,[],[f5]) ).
fof(f5167,plain,
spl52_821,
inference(avatar_split_clause,[],[f670,f5164]) ).
fof(f5164,plain,
( spl52_821
<=> n21 = sum(n17,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_821])]) ).
fof(f670,plain,
n21 = sum(n17,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f5162,plain,
spl52_820,
inference(avatar_split_clause,[],[f473,f5159]) ).
fof(f5159,plain,
( spl52_820
<=> n8 = sum(n23,n11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_820])]) ).
fof(f473,plain,
n8 = sum(n23,n11),
inference(cnf_transformation,[],[f5]) ).
fof(f5157,plain,
spl52_819,
inference(avatar_split_clause,[],[f677,f5154]) ).
fof(f5154,plain,
( spl52_819
<=> n5 = sum(n3,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_819])]) ).
fof(f677,plain,
n5 = sum(n3,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f5152,plain,
spl52_818,
inference(avatar_split_clause,[],[f654,f5149]) ).
fof(f5149,plain,
( spl52_818
<=> n24 = sum(n15,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_818])]) ).
fof(f654,plain,
n24 = sum(n15,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f5147,plain,
spl52_817,
inference(avatar_split_clause,[],[f613,f5144]) ).
fof(f5144,plain,
( spl52_817
<=> n1 = sum(n21,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_817])]) ).
fof(f613,plain,
n1 = sum(n21,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f5142,plain,
~ spl52_816,
inference(avatar_split_clause,[],[f534,f5139]) ).
fof(f5139,plain,
( spl52_816
<=> n2 = n11 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_816])]) ).
fof(f534,plain,
n2 != n11,
inference(cnf_transformation,[],[f5]) ).
fof(f5137,plain,
~ spl52_815,
inference(avatar_split_clause,[],[f778,f5134]) ).
fof(f5134,plain,
( spl52_815
<=> n15 = n23 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_815])]) ).
fof(f778,plain,
n15 != n23,
inference(cnf_transformation,[],[f5]) ).
fof(f5132,plain,
spl52_814,
inference(avatar_split_clause,[],[f741,f5129]) ).
fof(f5129,plain,
( spl52_814
<=> n4 = sum(n13,n17) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_814])]) ).
fof(f741,plain,
n4 = sum(n13,n17),
inference(cnf_transformation,[],[f5]) ).
fof(f5127,plain,
spl52_813,
inference(avatar_split_clause,[],[f758,f5124]) ).
fof(f5124,plain,
( spl52_813
<=> n14 = sum(n24,n16) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_813])]) ).
fof(f758,plain,
n14 = sum(n24,n16),
inference(cnf_transformation,[],[f5]) ).
fof(f5122,plain,
spl52_812,
inference(avatar_split_clause,[],[f707,f5119]) ).
fof(f5119,plain,
( spl52_812
<=> n0 = sum(n19,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_812])]) ).
fof(f707,plain,
n0 = sum(n19,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f5117,plain,
spl52_811,
inference(avatar_split_clause,[],[f807,f5114]) ).
fof(f5114,plain,
( spl52_811
<=> sK45 = sum(sum(pred(sK39),succ(sK11)),sum(pred(sK11),succ(sK39))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_811])]) ).
fof(f807,plain,
sK45 = sum(sum(pred(sK39),succ(sK11)),sum(pred(sK11),succ(sK39))),
inference(cnf_transformation,[],[f5]) ).
fof(f5112,plain,
~ spl52_810,
inference(avatar_split_clause,[],[f785,f5109]) ).
fof(f5109,plain,
( spl52_810
<=> n7 = n19 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_810])]) ).
fof(f785,plain,
n7 != n19,
inference(cnf_transformation,[],[f5]) ).
fof(f5107,plain,
spl52_809,
inference(avatar_split_clause,[],[f143,f5104]) ).
fof(f5104,plain,
( spl52_809
<=> n25 = sum(n11,n14) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_809])]) ).
fof(f143,plain,
n25 = sum(n11,n14),
inference(cnf_transformation,[],[f5]) ).
fof(f5102,plain,
spl52_808,
inference(avatar_split_clause,[],[f1028,f5099]) ).
fof(f5099,plain,
( spl52_808
<=> n8 = sum(n20,n14) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_808])]) ).
fof(f1028,plain,
n8 = sum(n20,n14),
inference(cnf_transformation,[],[f5]) ).
fof(f5097,plain,
~ spl52_807,
inference(avatar_split_clause,[],[f774,f5094]) ).
fof(f5094,plain,
( spl52_807
<=> n15 = n19 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_807])]) ).
fof(f774,plain,
n15 != n19,
inference(cnf_transformation,[],[f5]) ).
fof(f5092,plain,
spl52_806,
inference(avatar_split_clause,[],[f300,f5089]) ).
fof(f5089,plain,
( spl52_806
<=> n16 = sum(n19,n23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_806])]) ).
fof(f300,plain,
n16 = sum(n19,n23),
inference(cnf_transformation,[],[f5]) ).
fof(f5087,plain,
spl52_805,
inference(avatar_split_clause,[],[f355,f5084]) ).
fof(f5084,plain,
( spl52_805
<=> n24 = pred(n25) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_805])]) ).
fof(f355,plain,
n24 = pred(n25),
inference(cnf_transformation,[],[f5]) ).
fof(f5082,plain,
spl52_804,
inference(avatar_split_clause,[],[f354,f5079]) ).
fof(f5079,plain,
( spl52_804
<=> n3 = sum(n2,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_804])]) ).
fof(f354,plain,
n3 = sum(n2,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f5077,plain,
spl52_803,
inference(avatar_split_clause,[],[f579,f5074]) ).
fof(f5074,plain,
( spl52_803
<=> succ(n13) = n14 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_803])]) ).
fof(f579,plain,
succ(n13) = n14,
inference(cnf_transformation,[],[f5]) ).
fof(f5072,plain,
spl52_802,
inference(avatar_split_clause,[],[f511,f5069]) ).
fof(f5069,plain,
( spl52_802
<=> n3 = sum(n0,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_802])]) ).
fof(f511,plain,
n3 = sum(n0,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f5067,plain,
spl52_801,
inference(avatar_split_clause,[],[f405,f5064]) ).
fof(f5064,plain,
( spl52_801
<=> n23 = sum(n15,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_801])]) ).
fof(f405,plain,
n23 = sum(n15,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f5062,plain,
spl52_800,
inference(avatar_split_clause,[],[f233,f5059]) ).
fof(f5059,plain,
( spl52_800
<=> n14 = sum(n9,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_800])]) ).
fof(f233,plain,
n14 = sum(n9,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f5057,plain,
~ spl52_799,
inference(avatar_split_clause,[],[f576,f5054]) ).
fof(f5054,plain,
( spl52_799
<=> n9 = n17 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_799])]) ).
fof(f576,plain,
n9 != n17,
inference(cnf_transformation,[],[f5]) ).
fof(f5052,plain,
spl52_798,
inference(avatar_split_clause,[],[f229,f5049]) ).
fof(f5049,plain,
( spl52_798
<=> sK42 = sum(sum(pred(sK30),succ(sK10)),sum(pred(sK10),succ(sK30))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_798])]) ).
fof(f229,plain,
sK42 = sum(sum(pred(sK30),succ(sK10)),sum(pred(sK10),succ(sK30))),
inference(cnf_transformation,[],[f5]) ).
fof(f5047,plain,
~ spl52_797,
inference(avatar_split_clause,[],[f827,f5044]) ).
fof(f5044,plain,
( spl52_797
<=> n5 = n16 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_797])]) ).
fof(f827,plain,
n5 != n16,
inference(cnf_transformation,[],[f5]) ).
fof(f5042,plain,
~ spl52_796,
inference(avatar_split_clause,[],[f131,f5039]) ).
fof(f5039,plain,
( spl52_796
<=> n1 = n5 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_796])]) ).
fof(f131,plain,
n1 != n5,
inference(cnf_transformation,[],[f5]) ).
fof(f5037,plain,
spl52_795,
inference(avatar_split_clause,[],[f101,f5034]) ).
fof(f5034,plain,
( spl52_795
<=> n7 = sum(n0,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_795])]) ).
fof(f101,plain,
n7 = sum(n0,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f5032,plain,
~ spl52_794,
inference(avatar_split_clause,[],[f415,f5029]) ).
fof(f5029,plain,
( spl52_794
<=> n2 = n20 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_794])]) ).
fof(f415,plain,
n2 != n20,
inference(cnf_transformation,[],[f5]) ).
fof(f5027,plain,
spl52_793,
inference(avatar_split_clause,[],[f126,f5024]) ).
fof(f5024,plain,
( spl52_793
<=> n22 = pred(n23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_793])]) ).
fof(f126,plain,
n22 = pred(n23),
inference(cnf_transformation,[],[f5]) ).
fof(f5022,plain,
spl52_792,
inference(avatar_split_clause,[],[f556,f5019]) ).
fof(f5019,plain,
( spl52_792
<=> n20 = sum(n7,n13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_792])]) ).
fof(f556,plain,
n20 = sum(n7,n13),
inference(cnf_transformation,[],[f5]) ).
fof(f5017,plain,
spl52_791,
inference(avatar_split_clause,[],[f558,f5014]) ).
fof(f5014,plain,
( spl52_791
<=> sum(sum(pred(sK30),succ(sK30)),sum(pred(sK10),succ(sK10))) = sK14 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_791])]) ).
fof(f558,plain,
sum(sum(pred(sK30),succ(sK30)),sum(pred(sK10),succ(sK10))) = sK14,
inference(cnf_transformation,[],[f5]) ).
fof(f5012,plain,
~ spl52_790,
inference(avatar_split_clause,[],[f54,f5009]) ).
fof(f5009,plain,
( spl52_790
<=> n23 = n25 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_790])]) ).
fof(f54,plain,
n23 != n25,
inference(cnf_transformation,[],[f5]) ).
fof(f5007,plain,
spl52_789,
inference(avatar_split_clause,[],[f931,f5004]) ).
fof(f5004,plain,
( spl52_789
<=> n17 = sum(n6,n11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_789])]) ).
fof(f931,plain,
n17 = sum(n6,n11),
inference(cnf_transformation,[],[f5]) ).
fof(f5002,plain,
spl52_788,
inference(avatar_split_clause,[],[f708,f4999]) ).
fof(f4999,plain,
( spl52_788
<=> n8 = sum(n5,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_788])]) ).
fof(f708,plain,
n8 = sum(n5,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f4997,plain,
spl52_787,
inference(avatar_split_clause,[],[f36,f4994]) ).
fof(f4994,plain,
( spl52_787
<=> n1 = sum(n16,n11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_787])]) ).
fof(f36,plain,
n1 = sum(n16,n11),
inference(cnf_transformation,[],[f5]) ).
fof(f4992,plain,
~ spl52_786,
inference(avatar_split_clause,[],[f642,f4989]) ).
fof(f4989,plain,
( spl52_786
<=> n15 = n16 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_786])]) ).
fof(f642,plain,
n15 != n16,
inference(cnf_transformation,[],[f5]) ).
fof(f4987,plain,
~ spl52_785,
inference(avatar_split_clause,[],[f164,f4984]) ).
fof(f4984,plain,
( spl52_785
<=> n11 = n15 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_785])]) ).
fof(f164,plain,
n11 != n15,
inference(cnf_transformation,[],[f5]) ).
fof(f4982,plain,
spl52_784,
inference(avatar_split_clause,[],[f609,f4979]) ).
fof(f4979,plain,
( spl52_784
<=> n14 = sum(n2,n12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_784])]) ).
fof(f609,plain,
n14 = sum(n2,n12),
inference(cnf_transformation,[],[f5]) ).
fof(f4977,plain,
~ spl52_783,
inference(avatar_split_clause,[],[f443,f4974]) ).
fof(f4974,plain,
( spl52_783
<=> n16 = n21 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_783])]) ).
fof(f443,plain,
n16 != n21,
inference(cnf_transformation,[],[f5]) ).
fof(f4972,plain,
spl52_782,
inference(avatar_split_clause,[],[f48,f4969]) ).
fof(f4969,plain,
( spl52_782
<=> n0 = sum(n6,n20) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_782])]) ).
fof(f48,plain,
n0 = sum(n6,n20),
inference(cnf_transformation,[],[f5]) ).
fof(f4967,plain,
~ spl52_781,
inference(avatar_split_clause,[],[f687,f4964]) ).
fof(f4964,plain,
( spl52_781
<=> n1 = n6 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_781])]) ).
fof(f687,plain,
n1 != n6,
inference(cnf_transformation,[],[f5]) ).
fof(f4962,plain,
~ spl52_780,
inference(avatar_split_clause,[],[f538,f4959]) ).
fof(f4959,plain,
( spl52_780
<=> n16 = n25 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_780])]) ).
fof(f538,plain,
n16 != n25,
inference(cnf_transformation,[],[f5]) ).
fof(f4957,plain,
~ spl52_779,
inference(avatar_split_clause,[],[f400,f4954]) ).
fof(f4954,plain,
( spl52_779
<=> n2 = n25 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_779])]) ).
fof(f400,plain,
n2 != n25,
inference(cnf_transformation,[],[f5]) ).
fof(f4952,plain,
spl52_778,
inference(avatar_split_clause,[],[f854,f4949]) ).
fof(f4949,plain,
( spl52_778
<=> n13 = sum(n25,n14) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_778])]) ).
fof(f854,plain,
n13 = sum(n25,n14),
inference(cnf_transformation,[],[f5]) ).
fof(f4947,plain,
spl52_777,
inference(avatar_split_clause,[],[f698,f4944]) ).
fof(f4944,plain,
( spl52_777
<=> n25 = sum(n8,n17) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_777])]) ).
fof(f698,plain,
n25 = sum(n8,n17),
inference(cnf_transformation,[],[f5]) ).
fof(f4942,plain,
spl52_776,
inference(avatar_split_clause,[],[f550,f4939]) ).
fof(f4939,plain,
( spl52_776
<=> n8 = sum(n8,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_776])]) ).
fof(f550,plain,
n8 = sum(n8,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f4937,plain,
spl52_775,
inference(avatar_split_clause,[],[f236,f4934]) ).
fof(f4934,plain,
( spl52_775
<=> n9 = sum(n17,n18) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_775])]) ).
fof(f236,plain,
n9 = sum(n17,n18),
inference(cnf_transformation,[],[f5]) ).
fof(f4932,plain,
spl52_774,
inference(avatar_split_clause,[],[f1108,f4929]) ).
fof(f4929,plain,
( spl52_774
<=> n14 = sum(n7,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_774])]) ).
fof(f1108,plain,
n14 = sum(n7,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f4927,plain,
spl52_773,
inference(avatar_split_clause,[],[f919,f4924]) ).
fof(f4924,plain,
( spl52_773
<=> succ(n7) = n8 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_773])]) ).
fof(f919,plain,
succ(n7) = n8,
inference(cnf_transformation,[],[f5]) ).
fof(f4922,plain,
spl52_772,
inference(avatar_split_clause,[],[f278,f4919]) ).
fof(f4919,plain,
( spl52_772
<=> n4 = sum(n23,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_772])]) ).
fof(f278,plain,
n4 = sum(n23,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f4917,plain,
spl52_771,
inference(avatar_split_clause,[],[f593,f4914]) ).
fof(f4914,plain,
( spl52_771
<=> n14 = sum(n17,n23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_771])]) ).
fof(f593,plain,
n14 = sum(n17,n23),
inference(cnf_transformation,[],[f5]) ).
fof(f4912,plain,
spl52_770,
inference(avatar_split_clause,[],[f416,f4909]) ).
fof(f4909,plain,
( spl52_770
<=> n8 = sum(n21,n13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_770])]) ).
fof(f416,plain,
n8 = sum(n21,n13),
inference(cnf_transformation,[],[f5]) ).
fof(f4907,plain,
spl52_769,
inference(avatar_split_clause,[],[f268,f4904]) ).
fof(f4904,plain,
( spl52_769
<=> n0 = sum(n1,n25) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_769])]) ).
fof(f268,plain,
n0 = sum(n1,n25),
inference(cnf_transformation,[],[f5]) ).
fof(f4902,plain,
spl52_768,
inference(avatar_split_clause,[],[f755,f4899]) ).
fof(f4899,plain,
( spl52_768
<=> n20 = sum(n0,n20) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_768])]) ).
fof(f755,plain,
n20 = sum(n0,n20),
inference(cnf_transformation,[],[f5]) ).
fof(f4897,plain,
~ spl52_767,
inference(avatar_split_clause,[],[f391,f4894]) ).
fof(f4894,plain,
( spl52_767
<=> n12 = n24 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_767])]) ).
fof(f391,plain,
n12 != n24,
inference(cnf_transformation,[],[f5]) ).
fof(f4892,plain,
spl52_766,
inference(avatar_split_clause,[],[f34,f4889]) ).
fof(f4889,plain,
( spl52_766
<=> n19 = pred(n20) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_766])]) ).
fof(f34,plain,
n19 = pred(n20),
inference(cnf_transformation,[],[f5]) ).
fof(f4887,plain,
spl52_765,
inference(avatar_split_clause,[],[f181,f4884]) ).
fof(f4884,plain,
( spl52_765
<=> n22 = sum(n13,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_765])]) ).
fof(f181,plain,
n22 = sum(n13,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f4882,plain,
spl52_764,
inference(avatar_split_clause,[],[f500,f4879]) ).
fof(f4879,plain,
( spl52_764
<=> n0 = sum(n18,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_764])]) ).
fof(f500,plain,
n0 = sum(n18,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f4877,plain,
spl52_763,
inference(avatar_split_clause,[],[f796,f4874]) ).
fof(f4874,plain,
( spl52_763
<=> sK1 = sum(sum(pred(sK25),succ(sK25)),sum(pred(sK16),succ(sK16))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_763])]) ).
fof(f796,plain,
sK1 = sum(sum(pred(sK25),succ(sK25)),sum(pred(sK16),succ(sK16))),
inference(cnf_transformation,[],[f5]) ).
fof(f4872,plain,
spl52_762,
inference(avatar_split_clause,[],[f187,f4869]) ).
fof(f4869,plain,
( spl52_762
<=> n10 = sum(n16,n20) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_762])]) ).
fof(f187,plain,
n10 = sum(n16,n20),
inference(cnf_transformation,[],[f5]) ).
fof(f4867,plain,
~ spl52_761,
inference(avatar_split_clause,[],[f56,f4864]) ).
fof(f4864,plain,
( spl52_761
<=> n1 = n9 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_761])]) ).
fof(f56,plain,
n1 != n9,
inference(cnf_transformation,[],[f5]) ).
fof(f4862,plain,
spl52_760,
inference(avatar_split_clause,[],[f546,f4859]) ).
fof(f4859,plain,
( spl52_760
<=> n8 = sum(n22,n12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_760])]) ).
fof(f546,plain,
n8 = sum(n22,n12),
inference(cnf_transformation,[],[f5]) ).
fof(f4857,plain,
spl52_759,
inference(avatar_split_clause,[],[f207,f4854]) ).
fof(f4854,plain,
( spl52_759
<=> n4 = sum(n12,n18) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_759])]) ).
fof(f207,plain,
n4 = sum(n12,n18),
inference(cnf_transformation,[],[f5]) ).
fof(f4852,plain,
spl52_758,
inference(avatar_split_clause,[],[f840,f4849]) ).
fof(f4849,plain,
( spl52_758
<=> n13 = sum(n0,n13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_758])]) ).
fof(f840,plain,
n13 = sum(n0,n13),
inference(cnf_transformation,[],[f5]) ).
fof(f4847,plain,
~ spl52_757,
inference(avatar_split_clause,[],[f715,f4844]) ).
fof(f4844,plain,
( spl52_757
<=> n9 = n13 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_757])]) ).
fof(f715,plain,
n9 != n13,
inference(cnf_transformation,[],[f5]) ).
fof(f4842,plain,
spl52_756,
inference(avatar_split_clause,[],[f149,f4839]) ).
fof(f4839,plain,
( spl52_756
<=> n14 = sum(n23,n17) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_756])]) ).
fof(f149,plain,
n14 = sum(n23,n17),
inference(cnf_transformation,[],[f5]) ).
fof(f4837,plain,
spl52_755,
inference(avatar_split_clause,[],[f852,f4834]) ).
fof(f4834,plain,
( spl52_755
<=> n10 = sum(n5,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_755])]) ).
fof(f852,plain,
n10 = sum(n5,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f4832,plain,
spl52_754,
inference(avatar_split_clause,[],[f310,f4829]) ).
fof(f4829,plain,
( spl52_754
<=> n16 = sum(n14,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_754])]) ).
fof(f310,plain,
n16 = sum(n14,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f4827,plain,
spl52_753,
inference(avatar_split_clause,[],[f675,f4824]) ).
fof(f4824,plain,
( spl52_753
<=> n5 = sum(n15,n16) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_753])]) ).
fof(f675,plain,
n5 = sum(n15,n16),
inference(cnf_transformation,[],[f5]) ).
fof(f4822,plain,
spl52_752,
inference(avatar_split_clause,[],[f141,f4819]) ).
fof(f4819,plain,
( spl52_752
<=> sK24 = sum(sum(pred(sK50),succ(sK50)),sum(pred(sK28),succ(sK28))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_752])]) ).
fof(f141,plain,
sK24 = sum(sum(pred(sK50),succ(sK50)),sum(pred(sK28),succ(sK28))),
inference(cnf_transformation,[],[f5]) ).
fof(f4817,plain,
spl52_751,
inference(avatar_split_clause,[],[f435,f4814]) ).
fof(f4814,plain,
( spl52_751
<=> n0 = pred(n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_751])]) ).
fof(f435,plain,
n0 = pred(n1),
inference(cnf_transformation,[],[f5]) ).
fof(f4812,plain,
spl52_750,
inference(avatar_split_clause,[],[f165,f4809]) ).
fof(f4809,plain,
( spl52_750
<=> sum(sum(pred(sK39),succ(sK39)),sum(pred(sK11),succ(sK11))) = sK35 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_750])]) ).
fof(f165,plain,
sum(sum(pred(sK39),succ(sK39)),sum(pred(sK11),succ(sK11))) = sK35,
inference(cnf_transformation,[],[f5]) ).
fof(f4807,plain,
~ spl52_749,
inference(avatar_split_clause,[],[f499,f4804]) ).
fof(f4804,plain,
( spl52_749
<=> n7 = n25 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_749])]) ).
fof(f499,plain,
n7 != n25,
inference(cnf_transformation,[],[f5]) ).
fof(f4802,plain,
spl52_748,
inference(avatar_split_clause,[],[f971,f4799]) ).
fof(f4799,plain,
( spl52_748
<=> n11 = sum(n2,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_748])]) ).
fof(f971,plain,
n11 = sum(n2,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f4797,plain,
spl52_747,
inference(avatar_split_clause,[],[f668,f4794]) ).
fof(f4794,plain,
( spl52_747
<=> n13 = sum(n23,n16) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_747])]) ).
fof(f668,plain,
n13 = sum(n23,n16),
inference(cnf_transformation,[],[f5]) ).
fof(f4792,plain,
~ spl52_746,
inference(avatar_split_clause,[],[f765,f4789]) ).
fof(f4789,plain,
( spl52_746
<=> n7 = n15 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_746])]) ).
fof(f765,plain,
n7 != n15,
inference(cnf_transformation,[],[f5]) ).
fof(f4787,plain,
spl52_745,
inference(avatar_split_clause,[],[f505,f4784]) ).
fof(f4784,plain,
( spl52_745
<=> n25 = sum(n15,n10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_745])]) ).
fof(f505,plain,
n25 = sum(n15,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f4782,plain,
spl52_744,
inference(avatar_split_clause,[],[f396,f4779]) ).
fof(f4779,plain,
( spl52_744
<=> n12 = sum(n23,n15) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_744])]) ).
fof(f396,plain,
n12 = sum(n23,n15),
inference(cnf_transformation,[],[f5]) ).
fof(f4777,plain,
spl52_743,
inference(avatar_split_clause,[],[f566,f4774]) ).
fof(f4774,plain,
( spl52_743
<=> succ(n19) = n20 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_743])]) ).
fof(f566,plain,
succ(n19) = n20,
inference(cnf_transformation,[],[f5]) ).
fof(f4772,plain,
~ spl52_742,
inference(avatar_split_clause,[],[f1018,f4769]) ).
fof(f4769,plain,
( spl52_742
<=> n2 = n9 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_742])]) ).
fof(f1018,plain,
n2 != n9,
inference(cnf_transformation,[],[f5]) ).
fof(f4767,plain,
spl52_741,
inference(avatar_split_clause,[],[f195,f4764]) ).
fof(f4764,plain,
( spl52_741
<=> n13 = sum(n8,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_741])]) ).
fof(f195,plain,
n13 = sum(n8,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f4762,plain,
spl52_740,
inference(avatar_split_clause,[],[f559,f4759]) ).
fof(f4759,plain,
( spl52_740
<=> n21 = sum(n9,n12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_740])]) ).
fof(f559,plain,
n21 = sum(n9,n12),
inference(cnf_transformation,[],[f5]) ).
fof(f4757,plain,
spl52_739,
inference(avatar_split_clause,[],[f468,f4754]) ).
fof(f4754,plain,
( spl52_739
<=> sK20 = sum(sum(pred(sK42),succ(sK42)),sum(pred(sK14),succ(sK14))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_739])]) ).
fof(f468,plain,
sK20 = sum(sum(pred(sK42),succ(sK42)),sum(pred(sK14),succ(sK14))),
inference(cnf_transformation,[],[f5]) ).
fof(f4752,plain,
spl52_738,
inference(avatar_split_clause,[],[f1098,f4749]) ).
fof(f4749,plain,
( spl52_738
<=> n23 = sum(n24,n25) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_738])]) ).
fof(f1098,plain,
n23 = sum(n24,n25),
inference(cnf_transformation,[],[f5]) ).
fof(f4747,plain,
~ spl52_737,
inference(avatar_split_clause,[],[f26,f4744]) ).
fof(f4744,plain,
( spl52_737
<=> n10 = n19 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_737])]) ).
fof(f26,plain,
n10 != n19,
inference(cnf_transformation,[],[f5]) ).
fof(f4742,plain,
spl52_736,
inference(avatar_split_clause,[],[f901,f4739]) ).
fof(f4739,plain,
( spl52_736
<=> n19 = sum(n1,n18) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_736])]) ).
fof(f901,plain,
n19 = sum(n1,n18),
inference(cnf_transformation,[],[f5]) ).
fof(f4737,plain,
spl52_735,
inference(avatar_split_clause,[],[f580,f4734]) ).
fof(f4734,plain,
( spl52_735
<=> n19 = sum(n14,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_735])]) ).
fof(f580,plain,
n19 = sum(n14,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f4732,plain,
~ spl52_734,
inference(avatar_split_clause,[],[f341,f4729]) ).
fof(f4729,plain,
( spl52_734
<=> n5 = n18 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_734])]) ).
fof(f341,plain,
n5 != n18,
inference(cnf_transformation,[],[f5]) ).
fof(f4727,plain,
~ spl52_733,
inference(avatar_split_clause,[],[f106,f4724]) ).
fof(f4724,plain,
( spl52_733
<=> n3 = n8 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_733])]) ).
fof(f106,plain,
n3 != n8,
inference(cnf_transformation,[],[f5]) ).
fof(f4722,plain,
spl52_732,
inference(avatar_split_clause,[],[f365,f4719]) ).
fof(f4719,plain,
( spl52_732
<=> sK17 = sum(sum(pred(sK18),succ(sK2)),sum(pred(sK2),succ(sK18))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_732])]) ).
fof(f365,plain,
sK17 = sum(sum(pred(sK18),succ(sK2)),sum(pred(sK2),succ(sK18))),
inference(cnf_transformation,[],[f5]) ).
fof(f4717,plain,
( spl52_706
| spl52_707
| spl52_708
| spl52_709
| spl52_710
| spl52_711
| spl52_712
| spl52_713
| spl52_714
| spl52_715
| spl52_716
| spl52_717
| spl52_718
| spl52_719
| spl52_720
| spl52_721
| spl52_722
| spl52_723
| spl52_724
| spl52_725
| spl52_726
| spl52_727
| spl52_728
| spl52_729
| spl52_730
| spl52_731 ),
inference(avatar_split_clause,[],[f995,f4714,f4710,f4706,f4702,f4698,f4694,f4690,f4686,f4682,f4678,f4674,f4670,f4666,f4662,f4658,f4654,f4650,f4646,f4642,f4638,f4634,f4630,f4626,f4622,f4618,f4614]) ).
fof(f4614,plain,
( spl52_706
<=> n4 = sK30 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_706])]) ).
fof(f4618,plain,
( spl52_707
<=> n16 = sK30 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_707])]) ).
fof(f4622,plain,
( spl52_708
<=> n15 = sK30 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_708])]) ).
fof(f4626,plain,
( spl52_709
<=> n5 = sK30 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_709])]) ).
fof(f4630,plain,
( spl52_710
<=> n22 = sK30 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_710])]) ).
fof(f4634,plain,
( spl52_711
<=> n6 = sK30 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_711])]) ).
fof(f4638,plain,
( spl52_712
<=> n8 = sK30 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_712])]) ).
fof(f4642,plain,
( spl52_713
<=> n23 = sK30 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_713])]) ).
fof(f4646,plain,
( spl52_714
<=> n25 = sK30 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_714])]) ).
fof(f4650,plain,
( spl52_715
<=> n20 = sK30 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_715])]) ).
fof(f4654,plain,
( spl52_716
<=> n2 = sK30 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_716])]) ).
fof(f4658,plain,
( spl52_717
<=> n21 = sK30 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_717])]) ).
fof(f4662,plain,
( spl52_718
<=> n10 = sK30 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_718])]) ).
fof(f4666,plain,
( spl52_719
<=> n19 = sK30 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_719])]) ).
fof(f4670,plain,
( spl52_720
<=> n0 = sK30 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_720])]) ).
fof(f4674,plain,
( spl52_721
<=> n17 = sK30 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_721])]) ).
fof(f4678,plain,
( spl52_722
<=> n14 = sK30 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_722])]) ).
fof(f4682,plain,
( spl52_723
<=> n1 = sK30 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_723])]) ).
fof(f4686,plain,
( spl52_724
<=> n11 = sK30 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_724])]) ).
fof(f4690,plain,
( spl52_725
<=> n7 = sK30 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_725])]) ).
fof(f4694,plain,
( spl52_726
<=> n13 = sK30 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_726])]) ).
fof(f4698,plain,
( spl52_727
<=> n24 = sK30 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_727])]) ).
fof(f4702,plain,
( spl52_728
<=> n12 = sK30 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_728])]) ).
fof(f4706,plain,
( spl52_729
<=> n9 = sK30 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_729])]) ).
fof(f4710,plain,
( spl52_730
<=> n18 = sK30 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_730])]) ).
fof(f4714,plain,
( spl52_731
<=> n3 = sK30 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_731])]) ).
fof(f995,plain,
( n3 = sK30
| n18 = sK30
| n9 = sK30
| n12 = sK30
| n24 = sK30
| n13 = sK30
| n7 = sK30
| n11 = sK30
| n1 = sK30
| n14 = sK30
| n17 = sK30
| n0 = sK30
| n19 = sK30
| n10 = sK30
| n21 = sK30
| n2 = sK30
| n20 = sK30
| n25 = sK30
| n23 = sK30
| n8 = sK30
| n6 = sK30
| n22 = sK30
| n5 = sK30
| n15 = sK30
| n16 = sK30
| n4 = sK30 ),
inference(cnf_transformation,[],[f5]) ).
fof(f4612,plain,
~ spl52_705,
inference(avatar_split_clause,[],[f746,f4609]) ).
fof(f4609,plain,
( spl52_705
<=> n13 = n21 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_705])]) ).
fof(f746,plain,
n13 != n21,
inference(cnf_transformation,[],[f5]) ).
fof(f4607,plain,
spl52_704,
inference(avatar_split_clause,[],[f273,f4604]) ).
fof(f4604,plain,
( spl52_704
<=> n11 = sum(n22,n15) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_704])]) ).
fof(f273,plain,
n11 = sum(n22,n15),
inference(cnf_transformation,[],[f5]) ).
fof(f4602,plain,
spl52_703,
inference(avatar_split_clause,[],[f249,f4599]) ).
fof(f4599,plain,
( spl52_703
<=> n11 = sum(n17,n20) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_703])]) ).
fof(f249,plain,
n11 = sum(n17,n20),
inference(cnf_transformation,[],[f5]) ).
fof(f4597,plain,
spl52_702,
inference(avatar_split_clause,[],[f245,f4594]) ).
fof(f4594,plain,
( spl52_702
<=> n12 = sum(n25,n13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_702])]) ).
fof(f245,plain,
n12 = sum(n25,n13),
inference(cnf_transformation,[],[f5]) ).
fof(f4592,plain,
spl52_701,
inference(avatar_split_clause,[],[f1002,f4589]) ).
fof(f4589,plain,
( spl52_701
<=> n15 = sum(n2,n13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_701])]) ).
fof(f1002,plain,
n15 = sum(n2,n13),
inference(cnf_transformation,[],[f5]) ).
fof(f4587,plain,
spl52_700,
inference(avatar_split_clause,[],[f398,f4584]) ).
fof(f4584,plain,
( spl52_700
<=> succ(n9) = n10 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_700])]) ).
fof(f398,plain,
succ(n9) = n10,
inference(cnf_transformation,[],[f5]) ).
fof(f4582,plain,
~ spl52_699,
inference(avatar_split_clause,[],[f190,f4579]) ).
fof(f4579,plain,
( spl52_699
<=> n5 = n8 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_699])]) ).
fof(f190,plain,
n5 != n8,
inference(cnf_transformation,[],[f5]) ).
fof(f4577,plain,
spl52_698,
inference(avatar_split_clause,[],[f30,f4574]) ).
fof(f4574,plain,
( spl52_698
<=> n1 = sum(n0,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_698])]) ).
fof(f30,plain,
n1 = sum(n0,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f4572,plain,
spl52_697,
inference(avatar_split_clause,[],[f150,f4569]) ).
fof(f4569,plain,
( spl52_697
<=> n15 = sum(n14,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_697])]) ).
fof(f150,plain,
n15 = sum(n14,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f4567,plain,
spl52_696,
inference(avatar_split_clause,[],[f128,f4564]) ).
fof(f4564,plain,
( spl52_696
<=> n17 = sum(n7,n10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_696])]) ).
fof(f128,plain,
n17 = sum(n7,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f4562,plain,
~ spl52_695,
inference(avatar_split_clause,[],[f1019,f4559]) ).
fof(f4559,plain,
( spl52_695
<=> n10 = n20 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_695])]) ).
fof(f1019,plain,
n10 != n20,
inference(cnf_transformation,[],[f5]) ).
fof(f4557,plain,
spl52_694,
inference(avatar_split_clause,[],[f196,f4554]) ).
fof(f4554,plain,
( spl52_694
<=> n8 = pred(n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_694])]) ).
fof(f196,plain,
n8 = pred(n9),
inference(cnf_transformation,[],[f5]) ).
fof(f4552,plain,
~ spl52_693,
inference(avatar_split_clause,[],[f427,f4549]) ).
fof(f4549,plain,
( spl52_693
<=> n2 = n21 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_693])]) ).
fof(f427,plain,
n2 != n21,
inference(cnf_transformation,[],[f5]) ).
fof(f4547,plain,
spl52_692,
inference(avatar_split_clause,[],[f880,f4544]) ).
fof(f4544,plain,
( spl52_692
<=> n2 = sum(n15,n13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_692])]) ).
fof(f880,plain,
n2 = sum(n15,n13),
inference(cnf_transformation,[],[f5]) ).
fof(f4542,plain,
~ spl52_691,
inference(avatar_split_clause,[],[f983,f4539]) ).
fof(f4539,plain,
( spl52_691
<=> n10 = n17 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_691])]) ).
fof(f983,plain,
n10 != n17,
inference(cnf_transformation,[],[f5]) ).
fof(f4537,plain,
spl52_690,
inference(avatar_split_clause,[],[f1045,f4534]) ).
fof(f4534,plain,
( spl52_690
<=> n9 = sum(n1,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_690])]) ).
fof(f1045,plain,
n9 = sum(n1,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f4532,plain,
spl52_689,
inference(avatar_split_clause,[],[f532,f4529]) ).
fof(f4529,plain,
( spl52_689
<=> n10 = sum(n21,n15) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_689])]) ).
fof(f532,plain,
n10 = sum(n21,n15),
inference(cnf_transformation,[],[f5]) ).
fof(f4527,plain,
~ spl52_688,
inference(avatar_split_clause,[],[f29,f4524]) ).
fof(f4524,plain,
( spl52_688
<=> n1 = n15 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_688])]) ).
fof(f29,plain,
n1 != n15,
inference(cnf_transformation,[],[f5]) ).
fof(f4522,plain,
~ spl52_687,
inference(avatar_split_clause,[],[f35,f4519]) ).
fof(f4519,plain,
( spl52_687
<=> n2 = n3 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_687])]) ).
fof(f35,plain,
n2 != n3,
inference(cnf_transformation,[],[f5]) ).
fof(f4517,plain,
spl52_686,
inference(avatar_split_clause,[],[f822,f4514]) ).
fof(f4514,plain,
( spl52_686
<=> n22 = sum(n17,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_686])]) ).
fof(f822,plain,
n22 = sum(n17,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f4512,plain,
spl52_685,
inference(avatar_split_clause,[],[f171,f4509]) ).
fof(f4509,plain,
( spl52_685
<=> n2 = sum(n6,n22) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_685])]) ).
fof(f171,plain,
n2 = sum(n6,n22),
inference(cnf_transformation,[],[f5]) ).
fof(f4507,plain,
~ spl52_684,
inference(avatar_split_clause,[],[f199,f4504]) ).
fof(f4504,plain,
( spl52_684
<=> n3 = n18 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_684])]) ).
fof(f199,plain,
n3 != n18,
inference(cnf_transformation,[],[f5]) ).
fof(f4502,plain,
~ spl52_683,
inference(avatar_split_clause,[],[f834,f4499]) ).
fof(f4499,plain,
( spl52_683
<=> n17 = n21 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_683])]) ).
fof(f834,plain,
n17 != n21,
inference(cnf_transformation,[],[f5]) ).
fof(f4497,plain,
~ spl52_682,
inference(avatar_split_clause,[],[f816,f4494]) ).
fof(f4494,plain,
( spl52_682
<=> n18 = n24 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_682])]) ).
fof(f816,plain,
n18 != n24,
inference(cnf_transformation,[],[f5]) ).
fof(f4492,plain,
spl52_681,
inference(avatar_split_clause,[],[f1011,f4489]) ).
fof(f4489,plain,
( spl52_681
<=> n24 = sum(n22,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_681])]) ).
fof(f1011,plain,
n24 = sum(n22,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f4487,plain,
spl52_680,
inference(avatar_split_clause,[],[f976,f4484]) ).
fof(f4484,plain,
( spl52_680
<=> n24 = sum(n24,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_680])]) ).
fof(f976,plain,
n24 = sum(n24,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f4482,plain,
~ spl52_679,
inference(avatar_split_clause,[],[f980,f4479]) ).
fof(f4479,plain,
( spl52_679
<=> n5 = n15 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_679])]) ).
fof(f980,plain,
n5 != n15,
inference(cnf_transformation,[],[f5]) ).
fof(f4477,plain,
spl52_678,
inference(avatar_split_clause,[],[f77,f4474]) ).
fof(f4474,plain,
( spl52_678
<=> sK16 = sum(sum(pred(sK4),succ(sK4)),sum(pred(sK43),succ(sK43))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_678])]) ).
fof(f77,plain,
sK16 = sum(sum(pred(sK4),succ(sK4)),sum(pred(sK43),succ(sK43))),
inference(cnf_transformation,[],[f5]) ).
fof(f4472,plain,
~ spl52_677,
inference(avatar_split_clause,[],[f495,f4469]) ).
fof(f4469,plain,
( spl52_677
<=> n5 = n23 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_677])]) ).
fof(f495,plain,
n5 != n23,
inference(cnf_transformation,[],[f5]) ).
fof(f4467,plain,
~ spl52_676,
inference(avatar_split_clause,[],[f447,f4464]) ).
fof(f4464,plain,
( spl52_676
<=> n7 = n22 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_676])]) ).
fof(f447,plain,
n7 != n22,
inference(cnf_transformation,[],[f5]) ).
fof(f4462,plain,
spl52_675,
inference(avatar_split_clause,[],[f467,f4459]) ).
fof(f4459,plain,
( spl52_675
<=> n11 = sum(n3,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_675])]) ).
fof(f467,plain,
n11 = sum(n3,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f4457,plain,
spl52_674,
inference(avatar_split_clause,[],[f612,f4454]) ).
fof(f4454,plain,
( spl52_674
<=> n5 = sum(n25,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_674])]) ).
fof(f612,plain,
n5 = sum(n25,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f4452,plain,
spl52_673,
inference(avatar_split_clause,[],[f657,f4449]) ).
fof(f4449,plain,
( spl52_673
<=> n9 = sum(n5,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_673])]) ).
fof(f657,plain,
n9 = sum(n5,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f4447,plain,
spl52_672,
inference(avatar_split_clause,[],[f345,f4444]) ).
fof(f4444,plain,
( spl52_672
<=> n16 = sum(n3,n13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_672])]) ).
fof(f345,plain,
n16 = sum(n3,n13),
inference(cnf_transformation,[],[f5]) ).
fof(f4442,plain,
spl52_671,
inference(avatar_split_clause,[],[f130,f4439]) ).
fof(f4439,plain,
( spl52_671
<=> sum(sum(pred(sK40),succ(sK5)),sum(pred(sK5),succ(sK40))) = sK36 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_671])]) ).
fof(f130,plain,
sum(sum(pred(sK40),succ(sK5)),sum(pred(sK5),succ(sK40))) = sK36,
inference(cnf_transformation,[],[f5]) ).
fof(f4437,plain,
spl52_670,
inference(avatar_split_clause,[],[f522,f4434]) ).
fof(f4434,plain,
( spl52_670
<=> sK2 = sum(sum(pred(sK21),succ(sK21)),sum(pred(sK1),succ(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_670])]) ).
fof(f522,plain,
sK2 = sum(sum(pred(sK21),succ(sK21)),sum(pred(sK1),succ(sK1))),
inference(cnf_transformation,[],[f5]) ).
fof(f4432,plain,
spl52_669,
inference(avatar_split_clause,[],[f788,f4429]) ).
fof(f4429,plain,
( spl52_669
<=> n5 = sum(n5,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_669])]) ).
fof(f788,plain,
n5 = sum(n5,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f4427,plain,
spl52_668,
inference(avatar_split_clause,[],[f78,f4424]) ).
fof(f4424,plain,
( spl52_668
<=> n19 = sum(n2,n17) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_668])]) ).
fof(f78,plain,
n19 = sum(n2,n17),
inference(cnf_transformation,[],[f5]) ).
fof(f4422,plain,
spl52_667,
inference(avatar_split_clause,[],[f877,f4419]) ).
fof(f4419,plain,
( spl52_667
<=> n4 = sum(n6,n24) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_667])]) ).
fof(f877,plain,
n4 = sum(n6,n24),
inference(cnf_transformation,[],[f5]) ).
fof(f4417,plain,
~ spl52_666,
inference(avatar_split_clause,[],[f682,f4414]) ).
fof(f4414,plain,
( spl52_666
<=> n3 = n21 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_666])]) ).
fof(f682,plain,
n3 != n21,
inference(cnf_transformation,[],[f5]) ).
fof(f4412,plain,
~ spl52_665,
inference(avatar_split_clause,[],[f629,f4409]) ).
fof(f4409,plain,
( spl52_665
<=> n6 = n11 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_665])]) ).
fof(f629,plain,
n6 != n11,
inference(cnf_transformation,[],[f5]) ).
fof(f4407,plain,
spl52_664,
inference(avatar_split_clause,[],[f622,f4404]) ).
fof(f4404,plain,
( spl52_664
<=> n18 = sum(n17,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_664])]) ).
fof(f622,plain,
n18 = sum(n17,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f4402,plain,
spl52_663,
inference(avatar_split_clause,[],[f825,f4399]) ).
fof(f4399,plain,
( spl52_663
<=> n6 = sum(n20,n12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_663])]) ).
fof(f825,plain,
n6 = sum(n20,n12),
inference(cnf_transformation,[],[f5]) ).
fof(f4397,plain,
spl52_662,
inference(avatar_split_clause,[],[f540,f4394]) ).
fof(f4394,plain,
( spl52_662
<=> succ(n5) = n6 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_662])]) ).
fof(f540,plain,
succ(n5) = n6,
inference(cnf_transformation,[],[f5]) ).
fof(f4392,plain,
spl52_661,
inference(avatar_split_clause,[],[f1109,f4389]) ).
fof(f4389,plain,
( spl52_661
<=> n10 = pred(n11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_661])]) ).
fof(f1109,plain,
n10 = pred(n11),
inference(cnf_transformation,[],[f5]) ).
fof(f4387,plain,
spl52_660,
inference(avatar_split_clause,[],[f261,f4384]) ).
fof(f4384,plain,
( spl52_660
<=> n18 = sum(n13,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_660])]) ).
fof(f261,plain,
n18 = sum(n13,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f4382,plain,
~ spl52_659,
inference(avatar_split_clause,[],[f28,f4379]) ).
fof(f4379,plain,
( spl52_659
<=> n3 = n20 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_659])]) ).
fof(f28,plain,
n3 != n20,
inference(cnf_transformation,[],[f5]) ).
fof(f4377,plain,
spl52_658,
inference(avatar_split_clause,[],[f242,f4374]) ).
fof(f4374,plain,
( spl52_658
<=> n2 = sum(n16,n12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_658])]) ).
fof(f242,plain,
n2 = sum(n16,n12),
inference(cnf_transformation,[],[f5]) ).
fof(f4372,plain,
~ spl52_657,
inference(avatar_split_clause,[],[f904,f4369]) ).
fof(f4369,plain,
( spl52_657
<=> n18 = n20 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_657])]) ).
fof(f904,plain,
n18 != n20,
inference(cnf_transformation,[],[f5]) ).
fof(f4367,plain,
spl52_656,
inference(avatar_split_clause,[],[f12,f4364]) ).
fof(f4364,plain,
( spl52_656
<=> n18 = sum(n16,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_656])]) ).
fof(f12,plain,
n18 = sum(n16,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f4362,plain,
spl52_655,
inference(avatar_split_clause,[],[f344,f4359]) ).
fof(f4359,plain,
( spl52_655
<=> n4 = sum(n24,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_655])]) ).
fof(f344,plain,
n4 = sum(n24,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f4357,plain,
~ spl52_654,
inference(avatar_split_clause,[],[f606,f4354]) ).
fof(f4354,plain,
( spl52_654
<=> n5 = n11 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_654])]) ).
fof(f606,plain,
n5 != n11,
inference(cnf_transformation,[],[f5]) ).
fof(f4352,plain,
spl52_653,
inference(avatar_split_clause,[],[f986,f4349]) ).
fof(f4349,plain,
( spl52_653
<=> n17 = sum(n16,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_653])]) ).
fof(f986,plain,
n17 = sum(n16,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f4347,plain,
spl52_652,
inference(avatar_split_clause,[],[f325,f4344]) ).
fof(f4344,plain,
( spl52_652
<=> n7 = sum(n23,n10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_652])]) ).
fof(f325,plain,
n7 = sum(n23,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f4342,plain,
~ spl52_651,
inference(avatar_split_clause,[],[f11,f4339]) ).
fof(f4339,plain,
( spl52_651
<=> n8 = n25 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_651])]) ).
fof(f11,plain,
n8 != n25,
inference(cnf_transformation,[],[f5]) ).
fof(f4337,plain,
~ spl52_650,
inference(avatar_split_clause,[],[f523,f4334]) ).
fof(f4334,plain,
( spl52_650
<=> n17 = n22 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_650])]) ).
fof(f523,plain,
n17 != n22,
inference(cnf_transformation,[],[f5]) ).
fof(f4332,plain,
spl52_649,
inference(avatar_split_clause,[],[f845,f4329]) ).
fof(f4329,plain,
( spl52_649
<=> n21 = sum(n25,n22) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_649])]) ).
fof(f845,plain,
n21 = sum(n25,n22),
inference(cnf_transformation,[],[f5]) ).
fof(f4327,plain,
spl52_648,
inference(avatar_split_clause,[],[f45,f4324]) ).
fof(f4324,plain,
( spl52_648
<=> n3 = sum(n11,n18) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_648])]) ).
fof(f45,plain,
n3 = sum(n11,n18),
inference(cnf_transformation,[],[f5]) ).
fof(f4322,plain,
spl52_647,
inference(avatar_split_clause,[],[f293,f4319]) ).
fof(f4319,plain,
( spl52_647
<=> n23 = sum(n10,n13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_647])]) ).
fof(f293,plain,
n23 = sum(n10,n13),
inference(cnf_transformation,[],[f5]) ).
fof(f4317,plain,
spl52_646,
inference(avatar_split_clause,[],[f289,f4314]) ).
fof(f4314,plain,
( spl52_646
<=> n3 = sum(n17,n12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_646])]) ).
fof(f289,plain,
n3 = sum(n17,n12),
inference(cnf_transformation,[],[f5]) ).
fof(f4312,plain,
~ spl52_645,
inference(avatar_split_clause,[],[f527,f4309]) ).
fof(f4309,plain,
( spl52_645
<=> n19 = n24 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_645])]) ).
fof(f527,plain,
n19 != n24,
inference(cnf_transformation,[],[f5]) ).
fof(f4307,plain,
spl52_644,
inference(avatar_split_clause,[],[f639,f4304]) ).
fof(f4304,plain,
( spl52_644
<=> n23 = sum(n7,n16) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_644])]) ).
fof(f639,plain,
n23 = sum(n7,n16),
inference(cnf_transformation,[],[f5]) ).
fof(f4302,plain,
spl52_643,
inference(avatar_split_clause,[],[f844,f4299]) ).
fof(f4299,plain,
( spl52_643
<=> n3 = sum(n16,n13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_643])]) ).
fof(f844,plain,
n3 = sum(n16,n13),
inference(cnf_transformation,[],[f5]) ).
fof(f4297,plain,
spl52_642,
inference(avatar_split_clause,[],[f660,f4294]) ).
fof(f4294,plain,
( spl52_642
<=> n15 = sum(n15,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_642])]) ).
fof(f660,plain,
n15 = sum(n15,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f4292,plain,
spl52_641,
inference(avatar_split_clause,[],[f752,f4289]) ).
fof(f4289,plain,
( spl52_641
<=> n19 = sum(n4,n15) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_641])]) ).
fof(f752,plain,
n19 = sum(n4,n15),
inference(cnf_transformation,[],[f5]) ).
fof(f4287,plain,
spl52_640,
inference(avatar_split_clause,[],[f1102,f4284]) ).
fof(f4284,plain,
( spl52_640
<=> n20 = sum(n16,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_640])]) ).
fof(f1102,plain,
n20 = sum(n16,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f4282,plain,
spl52_639,
inference(avatar_split_clause,[],[f115,f4279]) ).
fof(f4279,plain,
( spl52_639
<=> n7 = sum(n25,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_639])]) ).
fof(f115,plain,
n7 = sum(n25,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f4277,plain,
spl52_638,
inference(avatar_split_clause,[],[f287,f4274]) ).
fof(f4274,plain,
( spl52_638
<=> n12 = sum(n16,n22) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_638])]) ).
fof(f287,plain,
n12 = sum(n16,n22),
inference(cnf_transformation,[],[f5]) ).
fof(f4272,plain,
spl52_637,
inference(avatar_split_clause,[],[f437,f4269]) ).
fof(f4269,plain,
( spl52_637
<=> n15 = sum(n5,n10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_637])]) ).
fof(f437,plain,
n15 = sum(n5,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f4267,plain,
~ spl52_636,
inference(avatar_split_clause,[],[f922,f4264]) ).
fof(f4264,plain,
( spl52_636
<=> n19 = n25 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_636])]) ).
fof(f922,plain,
n19 != n25,
inference(cnf_transformation,[],[f5]) ).
fof(f4262,plain,
spl52_635,
inference(avatar_split_clause,[],[f67,f4259]) ).
fof(f4259,plain,
( spl52_635
<=> n24 = sum(n4,n20) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_635])]) ).
fof(f67,plain,
n24 = sum(n4,n20),
inference(cnf_transformation,[],[f5]) ).
fof(f4257,plain,
spl52_634,
inference(avatar_split_clause,[],[f749,f4254]) ).
fof(f4254,plain,
( spl52_634
<=> n23 = sum(n12,n11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_634])]) ).
fof(f749,plain,
n23 = sum(n12,n11),
inference(cnf_transformation,[],[f5]) ).
fof(f4252,plain,
~ spl52_633,
inference(avatar_split_clause,[],[f480,f4249]) ).
fof(f4249,plain,
( spl52_633
<=> n15 = n17 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_633])]) ).
fof(f480,plain,
n15 != n17,
inference(cnf_transformation,[],[f5]) ).
fof(f4247,plain,
spl52_632,
inference(avatar_split_clause,[],[f503,f4244]) ).
fof(f4244,plain,
( spl52_632
<=> n18 = sum(n11,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_632])]) ).
fof(f503,plain,
n18 = sum(n11,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f4242,plain,
spl52_631,
inference(avatar_split_clause,[],[f251,f4239]) ).
fof(f4239,plain,
( spl52_631
<=> n5 = sum(n12,n19) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_631])]) ).
fof(f251,plain,
n5 = sum(n12,n19),
inference(cnf_transformation,[],[f5]) ).
fof(f4237,plain,
~ spl52_630,
inference(avatar_split_clause,[],[f551,f4234]) ).
fof(f4234,plain,
( spl52_630
<=> n15 = n20 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_630])]) ).
fof(f551,plain,
n15 != n20,
inference(cnf_transformation,[],[f5]) ).
fof(f4232,plain,
spl52_629,
inference(avatar_split_clause,[],[f220,f4229]) ).
fof(f4229,plain,
( spl52_629
<=> n24 = sum(n9,n15) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_629])]) ).
fof(f220,plain,
n24 = sum(n9,n15),
inference(cnf_transformation,[],[f5]) ).
fof(f4227,plain,
spl52_628,
inference(avatar_split_clause,[],[f254,f4224]) ).
fof(f4224,plain,
( spl52_628
<=> n12 = pred(n13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_628])]) ).
fof(f254,plain,
n12 = pred(n13),
inference(cnf_transformation,[],[f5]) ).
fof(f4222,plain,
spl52_627,
inference(avatar_split_clause,[],[f337,f4219]) ).
fof(f4219,plain,
( spl52_627
<=> n9 = sum(n8,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_627])]) ).
fof(f337,plain,
n9 = sum(n8,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f4217,plain,
spl52_626,
inference(avatar_split_clause,[],[f451,f4214]) ).
fof(f4214,plain,
( spl52_626
<=> n19 = sum(n21,n24) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_626])]) ).
fof(f451,plain,
n19 = sum(n21,n24),
inference(cnf_transformation,[],[f5]) ).
fof(f4212,plain,
spl52_625,
inference(avatar_split_clause,[],[f352,f4209]) ).
fof(f4209,plain,
( spl52_625
<=> n18 = sum(n8,n10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_625])]) ).
fof(f352,plain,
n18 = sum(n8,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f4207,plain,
spl52_624,
inference(avatar_split_clause,[],[f1097,f4204]) ).
fof(f4204,plain,
( spl52_624
<=> n4 = sum(n20,n10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_624])]) ).
fof(f1097,plain,
n4 = sum(n20,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f4202,plain,
spl52_623,
inference(avatar_split_clause,[],[f748,f4199]) ).
fof(f4199,plain,
( spl52_623
<=> succ(n11) = n12 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_623])]) ).
fof(f748,plain,
succ(n11) = n12,
inference(cnf_transformation,[],[f5]) ).
fof(f4197,plain,
spl52_622,
inference(avatar_split_clause,[],[f860,f4194]) ).
fof(f4194,plain,
( spl52_622
<=> n3 = sum(n12,n17) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_622])]) ).
fof(f860,plain,
n3 = sum(n12,n17),
inference(cnf_transformation,[],[f5]) ).
fof(f4192,plain,
spl52_621,
inference(avatar_split_clause,[],[f1016,f4189]) ).
fof(f4189,plain,
( spl52_621
<=> n10 = sum(n25,n11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_621])]) ).
fof(f1016,plain,
n10 = sum(n25,n11),
inference(cnf_transformation,[],[f5]) ).
fof(f4187,plain,
~ spl52_620,
inference(avatar_split_clause,[],[f286,f4184]) ).
fof(f4184,plain,
( spl52_620
<=> n19 = n22 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_620])]) ).
fof(f286,plain,
n19 != n22,
inference(cnf_transformation,[],[f5]) ).
fof(f4182,plain,
~ spl52_619,
inference(avatar_split_clause,[],[f667,f4179]) ).
fof(f4179,plain,
( spl52_619
<=> n8 = n15 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_619])]) ).
fof(f667,plain,
n8 != n15,
inference(cnf_transformation,[],[f5]) ).
fof(f4177,plain,
~ spl52_618,
inference(avatar_split_clause,[],[f686,f4174]) ).
fof(f4174,plain,
( spl52_618
<=> n4 = n25 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_618])]) ).
fof(f686,plain,
n4 != n25,
inference(cnf_transformation,[],[f5]) ).
fof(f4172,plain,
spl52_617,
inference(avatar_split_clause,[],[f163,f4169]) ).
fof(f4169,plain,
( spl52_617
<=> n0 = sum(n16,n10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_617])]) ).
fof(f163,plain,
n0 = sum(n16,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f4167,plain,
spl52_616,
inference(avatar_split_clause,[],[f188,f4164]) ).
fof(f4164,plain,
( spl52_616
<=> n7 = sum(n20,n13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_616])]) ).
fof(f188,plain,
n7 = sum(n20,n13),
inference(cnf_transformation,[],[f5]) ).
fof(f4162,plain,
spl52_615,
inference(avatar_split_clause,[],[f209,f4159]) ).
fof(f4159,plain,
( spl52_615
<=> n22 = sum(n0,n22) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_615])]) ).
fof(f209,plain,
n22 = sum(n0,n22),
inference(cnf_transformation,[],[f5]) ).
fof(f4157,plain,
spl52_614,
inference(avatar_split_clause,[],[f933,f4154]) ).
fof(f4154,plain,
( spl52_614
<=> n8 = sum(n25,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_614])]) ).
fof(f933,plain,
n8 = sum(n25,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f4152,plain,
~ spl52_613,
inference(avatar_split_clause,[],[f102,f4149]) ).
fof(f4149,plain,
( spl52_613
<=> n5 = n25 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_613])]) ).
fof(f102,plain,
n5 != n25,
inference(cnf_transformation,[],[f5]) ).
fof(f4147,plain,
spl52_612,
inference(avatar_split_clause,[],[f377,f4144]) ).
fof(f4144,plain,
( spl52_612
<=> n7 = sum(n1,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_612])]) ).
fof(f377,plain,
n7 = sum(n1,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f4142,plain,
spl52_611,
inference(avatar_split_clause,[],[f172,f4139]) ).
fof(f4139,plain,
( spl52_611
<=> n1 = sum(n10,n17) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_611])]) ).
fof(f172,plain,
n1 = sum(n10,n17),
inference(cnf_transformation,[],[f5]) ).
fof(f4137,plain,
spl52_610,
inference(avatar_split_clause,[],[f942,f4134]) ).
fof(f4134,plain,
( spl52_610
<=> n15 = sum(n16,n25) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_610])]) ).
fof(f942,plain,
n15 = sum(n16,n25),
inference(cnf_transformation,[],[f5]) ).
fof(f4132,plain,
spl52_609,
inference(avatar_split_clause,[],[f537,f4129]) ).
fof(f4129,plain,
( spl52_609
<=> n8 = sum(n9,n25) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_609])]) ).
fof(f537,plain,
n8 = sum(n9,n25),
inference(cnf_transformation,[],[f5]) ).
fof(f4127,plain,
~ spl52_608,
inference(avatar_split_clause,[],[f231,f4124]) ).
fof(f4124,plain,
( spl52_608
<=> n0 = n16 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_608])]) ).
fof(f231,plain,
n0 != n16,
inference(cnf_transformation,[],[f5]) ).
fof(f4122,plain,
spl52_607,
inference(avatar_split_clause,[],[f51,f4119]) ).
fof(f4119,plain,
( spl52_607
<=> n12 = sum(n4,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_607])]) ).
fof(f51,plain,
n12 = sum(n4,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f4117,plain,
spl52_606,
inference(avatar_split_clause,[],[f358,f4114]) ).
fof(f4114,plain,
( spl52_606
<=> n5 = sum(n14,n17) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_606])]) ).
fof(f358,plain,
n5 = sum(n14,n17),
inference(cnf_transformation,[],[f5]) ).
fof(f4112,plain,
spl52_605,
inference(avatar_split_clause,[],[f866,f4109]) ).
fof(f4109,plain,
( spl52_605
<=> sum(sum(pred(sK42),succ(sK14)),sum(pred(sK14),succ(sK42))) = sK38 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_605])]) ).
fof(f866,plain,
sum(sum(pred(sK42),succ(sK14)),sum(pred(sK14),succ(sK42))) = sK38,
inference(cnf_transformation,[],[f5]) ).
fof(f4107,plain,
~ spl52_604,
inference(avatar_split_clause,[],[f843,f4104]) ).
fof(f4104,plain,
( spl52_604
<=> n4 = n10 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_604])]) ).
fof(f843,plain,
n4 != n10,
inference(cnf_transformation,[],[f5]) ).
fof(f4102,plain,
spl52_603,
inference(avatar_split_clause,[],[f641,f4099]) ).
fof(f4099,plain,
( spl52_603
<=> n6 = sum(n15,n17) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_603])]) ).
fof(f641,plain,
n6 = sum(n15,n17),
inference(cnf_transformation,[],[f5]) ).
fof(f4097,plain,
~ spl52_602,
inference(avatar_split_clause,[],[f1094,f4094]) ).
fof(f4094,plain,
( spl52_602
<=> n8 = n12 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_602])]) ).
fof(f1094,plain,
n8 != n12,
inference(cnf_transformation,[],[f5]) ).
fof(f4092,plain,
spl52_601,
inference(avatar_split_clause,[],[f1001,f4089]) ).
fof(f4089,plain,
( spl52_601
<=> n13 = sum(n22,n17) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_601])]) ).
fof(f1001,plain,
n13 = sum(n22,n17),
inference(cnf_transformation,[],[f5]) ).
fof(f4087,plain,
~ spl52_600,
inference(avatar_split_clause,[],[f491,f4084]) ).
fof(f4084,plain,
( spl52_600
<=> n4 = n11 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_600])]) ).
fof(f491,plain,
n4 != n11,
inference(cnf_transformation,[],[f5]) ).
fof(f4082,plain,
spl52_599,
inference(avatar_split_clause,[],[f15,f4079]) ).
fof(f4079,plain,
( spl52_599
<=> n7 = sum(n12,n21) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_599])]) ).
fof(f15,plain,
n7 = sum(n12,n21),
inference(cnf_transformation,[],[f5]) ).
fof(f4077,plain,
spl52_598,
inference(avatar_split_clause,[],[f979,f4074]) ).
fof(f4074,plain,
( spl52_598
<=> n9 = sum(n23,n12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_598])]) ).
fof(f979,plain,
n9 = sum(n23,n12),
inference(cnf_transformation,[],[f5]) ).
fof(f4072,plain,
spl52_597,
inference(avatar_split_clause,[],[f1041,f4069]) ).
fof(f4069,plain,
( spl52_597
<=> sK19 = sum(sum(pred(sK45),succ(sK35)),sum(pred(sK35),succ(sK45))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_597])]) ).
fof(f1041,plain,
sK19 = sum(sum(pred(sK45),succ(sK35)),sum(pred(sK35),succ(sK45))),
inference(cnf_transformation,[],[f5]) ).
fof(f4067,plain,
~ spl52_596,
inference(avatar_split_clause,[],[f74,f4064]) ).
fof(f4064,plain,
( spl52_596
<=> n17 = n20 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_596])]) ).
fof(f74,plain,
n17 != n20,
inference(cnf_transformation,[],[f5]) ).
fof(f4062,plain,
~ spl52_595,
inference(avatar_split_clause,[],[f973,f4059]) ).
fof(f4059,plain,
( spl52_595
<=> n1 = n25 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_595])]) ).
fof(f973,plain,
n1 != n25,
inference(cnf_transformation,[],[f5]) ).
fof(f4057,plain,
~ spl52_594,
inference(avatar_split_clause,[],[f122,f4054]) ).
fof(f4054,plain,
( spl52_594
<=> n3 = n22 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_594])]) ).
fof(f122,plain,
n3 != n22,
inference(cnf_transformation,[],[f5]) ).
fof(f4052,plain,
spl52_593,
inference(avatar_split_clause,[],[f737,f4049]) ).
fof(f4049,plain,
( spl52_593
<=> n18 = sum(n19,n25) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_593])]) ).
fof(f737,plain,
n18 = sum(n19,n25),
inference(cnf_transformation,[],[f5]) ).
fof(f4047,plain,
spl52_592,
inference(avatar_split_clause,[],[f177,f4044]) ).
fof(f4044,plain,
( spl52_592
<=> n23 = sum(n6,n17) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_592])]) ).
fof(f177,plain,
n23 = sum(n6,n17),
inference(cnf_transformation,[],[f5]) ).
fof(f4042,plain,
spl52_591,
inference(avatar_split_clause,[],[f717,f4039]) ).
fof(f4039,plain,
( spl52_591
<=> n3 = sum(n15,n14) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_591])]) ).
fof(f717,plain,
n3 = sum(n15,n14),
inference(cnf_transformation,[],[f5]) ).
fof(f4037,plain,
spl52_590,
inference(avatar_split_clause,[],[f232,f4034]) ).
fof(f4034,plain,
( spl52_590
<=> n22 = sum(n11,n11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_590])]) ).
fof(f232,plain,
n22 = sum(n11,n11),
inference(cnf_transformation,[],[f5]) ).
fof(f4032,plain,
spl52_589,
inference(avatar_split_clause,[],[f945,f4029]) ).
fof(f4029,plain,
( spl52_589
<=> n2 = sum(n8,n20) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_589])]) ).
fof(f945,plain,
n2 = sum(n8,n20),
inference(cnf_transformation,[],[f5]) ).
fof(f4027,plain,
spl52_588,
inference(avatar_split_clause,[],[f10,f4024]) ).
fof(f4024,plain,
( spl52_588
<=> n1 = sum(n13,n14) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_588])]) ).
fof(f10,plain,
n1 = sum(n13,n14),
inference(cnf_transformation,[],[f5]) ).
fof(f4022,plain,
spl52_587,
inference(avatar_split_clause,[],[f369,f4019]) ).
fof(f4019,plain,
( spl52_587
<=> n22 = sum(n9,n13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_587])]) ).
fof(f369,plain,
n22 = sum(n9,n13),
inference(cnf_transformation,[],[f5]) ).
fof(f4017,plain,
spl52_586,
inference(avatar_split_clause,[],[f397,f4014]) ).
fof(f4014,plain,
( spl52_586
<=> n16 = sum(n2,n14) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_586])]) ).
fof(f397,plain,
n16 = sum(n2,n14),
inference(cnf_transformation,[],[f5]) ).
fof(f4012,plain,
~ spl52_585,
inference(avatar_split_clause,[],[f453,f4009]) ).
fof(f4009,plain,
( spl52_585
<=> n3 = n13 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_585])]) ).
fof(f453,plain,
n3 != n13,
inference(cnf_transformation,[],[f5]) ).
fof(f4007,plain,
spl52_584,
inference(avatar_split_clause,[],[f1074,f4004]) ).
fof(f4004,plain,
( spl52_584
<=> n23 = sum(n14,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_584])]) ).
fof(f1074,plain,
n23 = sum(n14,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f4002,plain,
spl52_583,
inference(avatar_split_clause,[],[f507,f3999]) ).
fof(f3999,plain,
( spl52_583
<=> n22 = sum(n22,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_583])]) ).
fof(f507,plain,
n22 = sum(n22,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f3997,plain,
~ spl52_582,
inference(avatar_split_clause,[],[f759,f3994]) ).
fof(f3994,plain,
( spl52_582
<=> n7 = n21 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_582])]) ).
fof(f759,plain,
n7 != n21,
inference(cnf_transformation,[],[f5]) ).
fof(f3992,plain,
spl52_581,
inference(avatar_split_clause,[],[f943,f3989]) ).
fof(f3989,plain,
( spl52_581
<=> n24 = sum(n16,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_581])]) ).
fof(f943,plain,
n24 = sum(n16,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f3987,plain,
spl52_580,
inference(avatar_split_clause,[],[f9,f3984]) ).
fof(f3984,plain,
( spl52_580
<=> n0 = sum(n2,n24) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_580])]) ).
fof(f9,plain,
n0 = sum(n2,n24),
inference(cnf_transformation,[],[f5]) ).
fof(f3982,plain,
~ spl52_579,
inference(avatar_split_clause,[],[f444,f3979]) ).
fof(f3979,plain,
( spl52_579
<=> n8 = n19 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_579])]) ).
fof(f444,plain,
n8 != n19,
inference(cnf_transformation,[],[f5]) ).
fof(f3977,plain,
~ spl52_578,
inference(avatar_split_clause,[],[f909,f3974]) ).
fof(f3974,plain,
( spl52_578
<=> n5 = n21 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_578])]) ).
fof(f909,plain,
n5 != n21,
inference(cnf_transformation,[],[f5]) ).
fof(f3972,plain,
~ spl52_577,
inference(avatar_split_clause,[],[f964,f3969]) ).
fof(f3969,plain,
( spl52_577
<=> n8 = n20 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_577])]) ).
fof(f964,plain,
n8 != n20,
inference(cnf_transformation,[],[f5]) ).
fof(f3967,plain,
~ spl52_576,
inference(avatar_split_clause,[],[f656,f3964]) ).
fof(f3964,plain,
( spl52_576
<=> n16 = n18 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_576])]) ).
fof(f656,plain,
n16 != n18,
inference(cnf_transformation,[],[f5]) ).
fof(f3962,plain,
spl52_575,
inference(avatar_split_clause,[],[f569,f3959]) ).
fof(f3959,plain,
( spl52_575
<=> n19 = sum(n6,n13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_575])]) ).
fof(f569,plain,
n19 = sum(n6,n13),
inference(cnf_transformation,[],[f5]) ).
fof(f3957,plain,
~ spl52_574,
inference(avatar_split_clause,[],[f200,f3954]) ).
fof(f3954,plain,
( spl52_574
<=> n12 = n13 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_574])]) ).
fof(f200,plain,
n12 != n13,
inference(cnf_transformation,[],[f5]) ).
fof(f3952,plain,
spl52_573,
inference(avatar_split_clause,[],[f516,f3949]) ).
fof(f3949,plain,
( spl52_573
<=> n3 = sum(n1,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_573])]) ).
fof(f516,plain,
n3 = sum(n1,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f3947,plain,
~ spl52_572,
inference(avatar_split_clause,[],[f1079,f3944]) ).
fof(f3944,plain,
( spl52_572
<=> n21 = n24 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_572])]) ).
fof(f1079,plain,
n21 != n24,
inference(cnf_transformation,[],[f5]) ).
fof(f3942,plain,
spl52_571,
inference(avatar_split_clause,[],[f965,f3939]) ).
fof(f3939,plain,
( spl52_571
<=> n11 = sum(n23,n14) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_571])]) ).
fof(f965,plain,
n11 = sum(n23,n14),
inference(cnf_transformation,[],[f5]) ).
fof(f3937,plain,
spl52_570,
inference(avatar_split_clause,[],[f121,f3934]) ).
fof(f3934,plain,
( spl52_570
<=> n13 = sum(n20,n19) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_570])]) ).
fof(f121,plain,
n13 = sum(n20,n19),
inference(cnf_transformation,[],[f5]) ).
fof(f3932,plain,
~ spl52_569,
inference(avatar_split_clause,[],[f319,f3929]) ).
fof(f3929,plain,
( spl52_569
<=> n14 = n19 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_569])]) ).
fof(f319,plain,
n14 != n19,
inference(cnf_transformation,[],[f5]) ).
fof(f3927,plain,
spl52_568,
inference(avatar_split_clause,[],[f756,f3924]) ).
fof(f3924,plain,
( spl52_568
<=> n16 = sum(n17,n25) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_568])]) ).
fof(f756,plain,
n16 = sum(n17,n25),
inference(cnf_transformation,[],[f5]) ).
fof(f3922,plain,
~ spl52_567,
inference(avatar_split_clause,[],[f214,f3919]) ).
fof(f3919,plain,
( spl52_567
<=> n1 = n4 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_567])]) ).
fof(f214,plain,
n1 != n4,
inference(cnf_transformation,[],[f5]) ).
fof(f3917,plain,
spl52_566,
inference(avatar_split_clause,[],[f357,f3914]) ).
fof(f3914,plain,
( spl52_566
<=> n10 = sum(n23,n13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_566])]) ).
fof(f357,plain,
n10 = sum(n23,n13),
inference(cnf_transformation,[],[f5]) ).
fof(f3912,plain,
spl52_565,
inference(avatar_split_clause,[],[f789,f3909]) ).
fof(f3909,plain,
( spl52_565
<=> n0 = sum(n23,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_565])]) ).
fof(f789,plain,
n0 = sum(n23,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f3907,plain,
spl52_564,
inference(avatar_split_clause,[],[f781,f3904]) ).
fof(f3904,plain,
( spl52_564
<=> n8 = sum(n14,n20) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_564])]) ).
fof(f781,plain,
n8 = sum(n14,n20),
inference(cnf_transformation,[],[f5]) ).
fof(f3902,plain,
spl52_563,
inference(avatar_split_clause,[],[f575,f3899]) ).
fof(f3899,plain,
( spl52_563
<=> n18 = sum(n3,n15) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_563])]) ).
fof(f575,plain,
n18 = sum(n3,n15),
inference(cnf_transformation,[],[f5]) ).
fof(f3897,plain,
spl52_562,
inference(avatar_split_clause,[],[f773,f3894]) ).
fof(f3894,plain,
( spl52_562
<=> n15 = sum(n25,n16) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_562])]) ).
fof(f773,plain,
n15 = sum(n25,n16),
inference(cnf_transformation,[],[f5]) ).
fof(f3892,plain,
spl52_561,
inference(avatar_split_clause,[],[f320,f3889]) ).
fof(f3889,plain,
( spl52_561
<=> n12 = sum(n18,n20) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_561])]) ).
fof(f320,plain,
n12 = sum(n18,n20),
inference(cnf_transformation,[],[f5]) ).
fof(f3887,plain,
~ spl52_560,
inference(avatar_split_clause,[],[f754,f3884]) ).
fof(f3884,plain,
( spl52_560
<=> n4 = n21 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_560])]) ).
fof(f754,plain,
n4 != n21,
inference(cnf_transformation,[],[f5]) ).
fof(f3882,plain,
spl52_559,
inference(avatar_split_clause,[],[f512,f3879]) ).
fof(f3879,plain,
( spl52_559
<=> n19 = sum(n12,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_559])]) ).
fof(f512,plain,
n19 = sum(n12,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f3877,plain,
~ spl52_558,
inference(avatar_split_clause,[],[f864,f3874]) ).
fof(f3874,plain,
( spl52_558
<=> n9 = n14 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_558])]) ).
fof(f864,plain,
n9 != n14,
inference(cnf_transformation,[],[f5]) ).
fof(f3872,plain,
~ spl52_557,
inference(avatar_split_clause,[],[f716,f3869]) ).
fof(f3869,plain,
( spl52_557
<=> n7 = n10 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_557])]) ).
fof(f716,plain,
n7 != n10,
inference(cnf_transformation,[],[f5]) ).
fof(f3867,plain,
~ spl52_556,
inference(avatar_split_clause,[],[f1076,f3864]) ).
fof(f3864,plain,
( spl52_556
<=> n2 = n8 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_556])]) ).
fof(f1076,plain,
n2 != n8,
inference(cnf_transformation,[],[f5]) ).
fof(f3862,plain,
spl52_555,
inference(avatar_split_clause,[],[f929,f3859]) ).
fof(f3859,plain,
( spl52_555
<=> n4 = sum(n8,n22) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_555])]) ).
fof(f929,plain,
n4 = sum(n8,n22),
inference(cnf_transformation,[],[f5]) ).
fof(f3857,plain,
spl52_554,
inference(avatar_split_clause,[],[f298,f3854]) ).
fof(f3854,plain,
( spl52_554
<=> n2 = sum(n7,n21) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_554])]) ).
fof(f298,plain,
n2 = sum(n7,n21),
inference(cnf_transformation,[],[f5]) ).
fof(f3852,plain,
spl52_553,
inference(avatar_split_clause,[],[f565,f3849]) ).
fof(f3849,plain,
( spl52_553
<=> n25 = sum(n24,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_553])]) ).
fof(f565,plain,
n25 = sum(n24,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f3847,plain,
spl52_552,
inference(avatar_split_clause,[],[f588,f3844]) ).
fof(f3844,plain,
( spl52_552
<=> n20 = sum(n17,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_552])]) ).
fof(f588,plain,
n20 = sum(n17,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f3842,plain,
~ spl52_551,
inference(avatar_split_clause,[],[f589,f3839]) ).
fof(f3839,plain,
( spl52_551
<=> n12 = n15 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_551])]) ).
fof(f589,plain,
n12 != n15,
inference(cnf_transformation,[],[f5]) ).
fof(f3837,plain,
spl52_550,
inference(avatar_split_clause,[],[f794,f3834]) ).
fof(f3834,plain,
( spl52_550
<=> n4 = sum(n2,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_550])]) ).
fof(f794,plain,
n4 = sum(n2,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f3832,plain,
~ spl52_549,
inference(avatar_split_clause,[],[f184,f3829]) ).
fof(f3829,plain,
( spl52_549
<=> n20 = n24 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_549])]) ).
fof(f184,plain,
n20 != n24,
inference(cnf_transformation,[],[f5]) ).
fof(f3827,plain,
spl52_548,
inference(avatar_split_clause,[],[f112,f3824]) ).
fof(f3824,plain,
( spl52_548
<=> n16 = sum(n8,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_548])]) ).
fof(f112,plain,
n16 = sum(n8,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f3822,plain,
spl52_547,
inference(avatar_split_clause,[],[f662,f3819]) ).
fof(f3819,plain,
( spl52_547
<=> n17 = sum(n22,n21) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_547])]) ).
fof(f662,plain,
n17 = sum(n22,n21),
inference(cnf_transformation,[],[f5]) ).
fof(f3817,plain,
spl52_546,
inference(avatar_split_clause,[],[f615,f3814]) ).
fof(f3814,plain,
( spl52_546
<=> n12 = sum(n11,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_546])]) ).
fof(f615,plain,
n12 = sum(n11,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f3812,plain,
spl52_545,
inference(avatar_split_clause,[],[f868,f3809]) ).
fof(f3809,plain,
( spl52_545
<=> n2 = sum(n9,n19) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_545])]) ).
fof(f868,plain,
n2 = sum(n9,n19),
inference(cnf_transformation,[],[f5]) ).
fof(f3807,plain,
spl52_544,
inference(avatar_split_clause,[],[f88,f3804]) ).
fof(f3804,plain,
( spl52_544
<=> n10 = sum(n4,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_544])]) ).
fof(f88,plain,
n10 = sum(n4,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f3802,plain,
spl52_543,
inference(avatar_split_clause,[],[f855,f3799]) ).
fof(f3799,plain,
( spl52_543
<=> n11 = sum(n25,n12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_543])]) ).
fof(f855,plain,
n11 = sum(n25,n12),
inference(cnf_transformation,[],[f5]) ).
fof(f3797,plain,
spl52_542,
inference(avatar_split_clause,[],[f356,f3794]) ).
fof(f3794,plain,
( spl52_542
<=> n0 = sum(n3,n23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_542])]) ).
fof(f356,plain,
n0 = sum(n3,n23),
inference(cnf_transformation,[],[f5]) ).
fof(f3792,plain,
~ spl52_541,
inference(avatar_split_clause,[],[f1072,f3789]) ).
fof(f3789,plain,
( spl52_541
<=> n4 = n6 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_541])]) ).
fof(f1072,plain,
n4 != n6,
inference(cnf_transformation,[],[f5]) ).
fof(f3787,plain,
spl52_540,
inference(avatar_split_clause,[],[f27,f3784]) ).
fof(f3784,plain,
( spl52_540
<=> n5 = sum(n0,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_540])]) ).
fof(f27,plain,
n5 = sum(n0,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f3782,plain,
~ spl52_539,
inference(avatar_split_clause,[],[f833,f3779]) ).
fof(f3779,plain,
( spl52_539
<=> n6 = n12 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_539])]) ).
fof(f833,plain,
n6 != n12,
inference(cnf_transformation,[],[f5]) ).
fof(f3777,plain,
spl52_538,
inference(avatar_split_clause,[],[f203,f3774]) ).
fof(f3774,plain,
( spl52_538
<=> n17 = sum(n1,n16) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_538])]) ).
fof(f203,plain,
n17 = sum(n1,n16),
inference(cnf_transformation,[],[f5]) ).
fof(f3772,plain,
spl52_537,
inference(avatar_split_clause,[],[f275,f3769]) ).
fof(f3769,plain,
( spl52_537
<=> n6 = sum(n3,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_537])]) ).
fof(f275,plain,
n6 = sum(n3,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f3767,plain,
~ spl52_536,
inference(avatar_split_clause,[],[f266,f3764]) ).
fof(f3764,plain,
( spl52_536
<=> n12 = n22 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_536])]) ).
fof(f266,plain,
n12 != n22,
inference(cnf_transformation,[],[f5]) ).
fof(f3762,plain,
~ spl52_535,
inference(avatar_split_clause,[],[f1024,f3759]) ).
fof(f3759,plain,
( spl52_535
<=> n12 = n14 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_535])]) ).
fof(f1024,plain,
n12 != n14,
inference(cnf_transformation,[],[f5]) ).
fof(f3757,plain,
spl52_534,
inference(avatar_split_clause,[],[f1007,f3754]) ).
fof(f3754,plain,
( spl52_534
<=> n16 = sum(n16,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_534])]) ).
fof(f1007,plain,
n16 = sum(n16,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f3752,plain,
spl52_533,
inference(avatar_split_clause,[],[f601,f3749]) ).
fof(f3749,plain,
( spl52_533
<=> n4 = sum(n7,n23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_533])]) ).
fof(f601,plain,
n4 = sum(n7,n23),
inference(cnf_transformation,[],[f5]) ).
fof(f3747,plain,
~ spl52_532,
inference(avatar_split_clause,[],[f425,f3744]) ).
fof(f3744,plain,
( spl52_532
<=> n14 = n23 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_532])]) ).
fof(f425,plain,
n14 != n23,
inference(cnf_transformation,[],[f5]) ).
fof(f3742,plain,
spl52_531,
inference(avatar_split_clause,[],[f455,f3739]) ).
fof(f3739,plain,
( spl52_531
<=> n17 = sum(n19,n24) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_531])]) ).
fof(f455,plain,
n17 = sum(n19,n24),
inference(cnf_transformation,[],[f5]) ).
fof(f3737,plain,
spl52_530,
inference(avatar_split_clause,[],[f116,f3734]) ).
fof(f3734,plain,
( spl52_530
<=> n8 = sum(n12,n22) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_530])]) ).
fof(f116,plain,
n8 = sum(n12,n22),
inference(cnf_transformation,[],[f5]) ).
fof(f3732,plain,
spl52_529,
inference(avatar_split_clause,[],[f585,f3729]) ).
fof(f3729,plain,
( spl52_529
<=> n16 = sum(n21,n21) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_529])]) ).
fof(f585,plain,
n16 = sum(n21,n21),
inference(cnf_transformation,[],[f5]) ).
fof(f3727,plain,
spl52_528,
inference(avatar_split_clause,[],[f1050,f3724]) ).
fof(f3724,plain,
( spl52_528
<=> n19 = sum(n16,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_528])]) ).
fof(f1050,plain,
n19 = sum(n16,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f3722,plain,
spl52_527,
inference(avatar_split_clause,[],[f531,f3719]) ).
fof(f3719,plain,
( spl52_527
<=> n10 = sum(n17,n19) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_527])]) ).
fof(f531,plain,
n10 = sum(n17,n19),
inference(cnf_transformation,[],[f5]) ).
fof(f3717,plain,
spl52_526,
inference(avatar_split_clause,[],[f247,f3714]) ).
fof(f3714,plain,
( spl52_526
<=> n11 = sum(n6,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_526])]) ).
fof(f247,plain,
n11 = sum(n6,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f3712,plain,
spl52_525,
inference(avatar_split_clause,[],[f1012,f3709]) ).
fof(f3709,plain,
( spl52_525
<=> n16 = sum(n5,n11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_525])]) ).
fof(f1012,plain,
n16 = sum(n5,n11),
inference(cnf_transformation,[],[f5]) ).
fof(f3707,plain,
spl52_524,
inference(avatar_split_clause,[],[f812,f3704]) ).
fof(f3704,plain,
( spl52_524
<=> n24 = sum(n6,n18) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_524])]) ).
fof(f812,plain,
n24 = sum(n6,n18),
inference(cnf_transformation,[],[f5]) ).
fof(f3702,plain,
~ spl52_523,
inference(avatar_split_clause,[],[f783,f3699]) ).
fof(f3699,plain,
( spl52_523
<=> n0 = n6 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_523])]) ).
fof(f783,plain,
n0 != n6,
inference(cnf_transformation,[],[f5]) ).
fof(f3697,plain,
spl52_522,
inference(avatar_split_clause,[],[f508,f3694]) ).
fof(f3694,plain,
( spl52_522
<=> n25 = pred(n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_522])]) ).
fof(f508,plain,
n25 = pred(n0),
inference(cnf_transformation,[],[f5]) ).
fof(f3692,plain,
spl52_521,
inference(avatar_split_clause,[],[f154,f3689]) ).
fof(f3689,plain,
( spl52_521
<=> n25 = sum(n3,n22) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_521])]) ).
fof(f154,plain,
n25 = sum(n3,n22),
inference(cnf_transformation,[],[f5]) ).
fof(f3687,plain,
spl52_520,
inference(avatar_split_clause,[],[f1039,f3684]) ).
fof(f3684,plain,
( spl52_520
<=> n0 = sum(n21,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_520])]) ).
fof(f1039,plain,
n0 = sum(n21,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f3682,plain,
spl52_519,
inference(avatar_split_clause,[],[f815,f3679]) ).
fof(f3679,plain,
( spl52_519
<=> n24 = sum(n13,n11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_519])]) ).
fof(f815,plain,
n24 = sum(n13,n11),
inference(cnf_transformation,[],[f5]) ).
fof(f3677,plain,
spl52_518,
inference(avatar_split_clause,[],[f509,f3674]) ).
fof(f3674,plain,
( spl52_518
<=> n14 = sum(n11,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_518])]) ).
fof(f509,plain,
n14 = sum(n11,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f3672,plain,
spl52_517,
inference(avatar_split_clause,[],[f792,f3669]) ).
fof(f3669,plain,
( spl52_517
<=> n15 = sum(n21,n20) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_517])]) ).
fof(f792,plain,
n15 = sum(n21,n20),
inference(cnf_transformation,[],[f5]) ).
fof(f3667,plain,
spl52_516,
inference(avatar_split_clause,[],[f963,f3664]) ).
fof(f3664,plain,
( spl52_516
<=> n11 = sum(n18,n19) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_516])]) ).
fof(f963,plain,
n11 = sum(n18,n19),
inference(cnf_transformation,[],[f5]) ).
fof(f3662,plain,
spl52_515,
inference(avatar_split_clause,[],[f624,f3659]) ).
fof(f3659,plain,
( spl52_515
<=> n10 = sum(n11,n25) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_515])]) ).
fof(f624,plain,
n10 = sum(n11,n25),
inference(cnf_transformation,[],[f5]) ).
fof(f3657,plain,
spl52_514,
inference(avatar_split_clause,[],[f972,f3654]) ).
fof(f3654,plain,
( spl52_514
<=> n5 = sum(n21,n10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_514])]) ).
fof(f972,plain,
n5 = sum(n21,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f3652,plain,
spl52_513,
inference(avatar_split_clause,[],[f487,f3649]) ).
fof(f3649,plain,
( spl52_513
<=> n22 = sum(n21,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_513])]) ).
fof(f487,plain,
n22 = sum(n21,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f3647,plain,
~ spl52_512,
inference(avatar_split_clause,[],[f583,f3644]) ).
fof(f3644,plain,
( spl52_512
<=> n2 = n23 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_512])]) ).
fof(f583,plain,
n2 != n23,
inference(cnf_transformation,[],[f5]) ).
fof(f3642,plain,
~ spl52_511,
inference(avatar_split_clause,[],[f893,f3639]) ).
fof(f3639,plain,
( spl52_511
<=> n8 = n14 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_511])]) ).
fof(f893,plain,
n8 != n14,
inference(cnf_transformation,[],[f5]) ).
fof(f3637,plain,
spl52_510,
inference(avatar_split_clause,[],[f152,f3634]) ).
fof(f3634,plain,
( spl52_510
<=> n9 = sum(n18,n17) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_510])]) ).
fof(f152,plain,
n9 = sum(n18,n17),
inference(cnf_transformation,[],[f5]) ).
fof(f3632,plain,
~ spl52_509,
inference(avatar_split_clause,[],[f386,f3629]) ).
fof(f3629,plain,
( spl52_509
<=> n8 = n16 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_509])]) ).
fof(f386,plain,
n8 != n16,
inference(cnf_transformation,[],[f5]) ).
fof(f3627,plain,
spl52_508,
inference(avatar_split_clause,[],[f1027,f3624]) ).
fof(f3624,plain,
( spl52_508
<=> n13 = sum(n21,n18) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_508])]) ).
fof(f1027,plain,
n13 = sum(n21,n18),
inference(cnf_transformation,[],[f5]) ).
fof(f3622,plain,
spl52_507,
inference(avatar_split_clause,[],[f243,f3619]) ).
fof(f3619,plain,
( spl52_507
<=> n8 = sum(n3,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_507])]) ).
fof(f243,plain,
n8 = sum(n3,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f3617,plain,
~ spl52_506,
inference(avatar_split_clause,[],[f726,f3614]) ).
fof(f3614,plain,
( spl52_506
<=> n15 = n18 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_506])]) ).
fof(f726,plain,
n15 != n18,
inference(cnf_transformation,[],[f5]) ).
fof(f3612,plain,
spl52_505,
inference(avatar_split_clause,[],[f953,f3609]) ).
fof(f3609,plain,
( spl52_505
<=> n4 = sum(n1,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_505])]) ).
fof(f953,plain,
n4 = sum(n1,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f3607,plain,
spl52_504,
inference(avatar_split_clause,[],[f183,f3604]) ).
fof(f3604,plain,
( spl52_504
<=> n21 = sum(n5,n16) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_504])]) ).
fof(f183,plain,
n21 = sum(n5,n16),
inference(cnf_transformation,[],[f5]) ).
fof(f3602,plain,
~ spl52_503,
inference(avatar_split_clause,[],[f456,f3599]) ).
fof(f3599,plain,
( spl52_503
<=> n6 = n14 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_503])]) ).
fof(f456,plain,
n6 != n14,
inference(cnf_transformation,[],[f5]) ).
fof(f3597,plain,
~ spl52_502,
inference(avatar_split_clause,[],[f44,f3594]) ).
fof(f3594,plain,
( spl52_502
<=> n4 = n19 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_502])]) ).
fof(f44,plain,
n4 != n19,
inference(cnf_transformation,[],[f5]) ).
fof(f3592,plain,
spl52_501,
inference(avatar_split_clause,[],[f132,f3589]) ).
fof(f3589,plain,
( spl52_501
<=> n15 = sum(n8,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_501])]) ).
fof(f132,plain,
n15 = sum(n8,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f3587,plain,
spl52_500,
inference(avatar_split_clause,[],[f857,f3584]) ).
fof(f3584,plain,
( spl52_500
<=> sum(sum(pred(sK36),succ(sK32)),sum(pred(sK32),succ(sK36))) = sK41 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_500])]) ).
fof(f857,plain,
sum(sum(pred(sK36),succ(sK32)),sum(pred(sK32),succ(sK36))) = sK41,
inference(cnf_transformation,[],[f5]) ).
fof(f3582,plain,
spl52_499,
inference(avatar_split_clause,[],[f1064,f3579]) ).
fof(f3579,plain,
( spl52_499
<=> n15 = sum(n7,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_499])]) ).
fof(f1064,plain,
n15 = sum(n7,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f3577,plain,
spl52_498,
inference(avatar_split_clause,[],[f519,f3574]) ).
fof(f3574,plain,
( spl52_498
<=> n5 = sum(n13,n18) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_498])]) ).
fof(f519,plain,
n5 = sum(n13,n18),
inference(cnf_transformation,[],[f5]) ).
fof(f3572,plain,
~ spl52_497,
inference(avatar_split_clause,[],[f747,f3569]) ).
fof(f3569,plain,
( spl52_497
<=> n1 = n19 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_497])]) ).
fof(f747,plain,
n1 != n19,
inference(cnf_transformation,[],[f5]) ).
fof(f3567,plain,
spl52_496,
inference(avatar_split_clause,[],[f178,f3564]) ).
fof(f3564,plain,
( spl52_496
<=> n1 = sum(n20,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_496])]) ).
fof(f178,plain,
n1 = sum(n20,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f3562,plain,
~ spl52_495,
inference(avatar_split_clause,[],[f819,f3559]) ).
fof(f3559,plain,
( spl52_495
<=> n9 = n18 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_495])]) ).
fof(f819,plain,
n9 != n18,
inference(cnf_transformation,[],[f5]) ).
fof(f3557,plain,
~ spl52_494,
inference(avatar_split_clause,[],[f96,f3554]) ).
fof(f3554,plain,
( spl52_494
<=> n15 = n24 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_494])]) ).
fof(f96,plain,
n15 != n24,
inference(cnf_transformation,[],[f5]) ).
fof(f3552,plain,
~ spl52_493,
inference(avatar_split_clause,[],[f466,f3549]) ).
fof(f3549,plain,
( spl52_493
<=> n7 = n14 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_493])]) ).
fof(f466,plain,
n7 != n14,
inference(cnf_transformation,[],[f5]) ).
fof(f3547,plain,
spl52_492,
inference(avatar_split_clause,[],[f661,f3544]) ).
fof(f3544,plain,
( spl52_492
<=> n11 = sum(n13,n24) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_492])]) ).
fof(f661,plain,
n11 = sum(n13,n24),
inference(cnf_transformation,[],[f5]) ).
fof(f3542,plain,
~ spl52_491,
inference(avatar_split_clause,[],[f167,f3539]) ).
fof(f3539,plain,
( spl52_491
<=> n5 = n6 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_491])]) ).
fof(f167,plain,
n5 != n6,
inference(cnf_transformation,[],[f5]) ).
fof(f3537,plain,
~ spl52_490,
inference(avatar_split_clause,[],[f490,f3534]) ).
fof(f3534,plain,
( spl52_490
<=> n0 = n13 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_490])]) ).
fof(f490,plain,
n0 != n13,
inference(cnf_transformation,[],[f5]) ).
fof(f3532,plain,
spl52_489,
inference(avatar_split_clause,[],[f216,f3529]) ).
fof(f3529,plain,
( spl52_489
<=> n19 = sum(n11,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_489])]) ).
fof(f216,plain,
n19 = sum(n11,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f3527,plain,
spl52_488,
inference(avatar_split_clause,[],[f297,f3524]) ).
fof(f3524,plain,
( spl52_488
<=> sum(sum(pred(sK18),succ(sK18)),sum(pred(sK2),succ(sK2))) = sK6 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_488])]) ).
fof(f297,plain,
sum(sum(pred(sK18),succ(sK18)),sum(pred(sK2),succ(sK2))) = sK6,
inference(cnf_transformation,[],[f5]) ).
fof(f3522,plain,
~ spl52_487,
inference(avatar_split_clause,[],[f1043,f3519]) ).
fof(f3519,plain,
( spl52_487
<=> n17 = n19 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_487])]) ).
fof(f1043,plain,
n17 != n19,
inference(cnf_transformation,[],[f5]) ).
fof(f3517,plain,
spl52_486,
inference(avatar_split_clause,[],[f987,f3514]) ).
fof(f3514,plain,
( spl52_486
<=> sK8 = sum(sum(pred(sK17),succ(sK6)),sum(pred(sK6),succ(sK17))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_486])]) ).
fof(f987,plain,
sK8 = sum(sum(pred(sK17),succ(sK6)),sum(pred(sK6),succ(sK17))),
inference(cnf_transformation,[],[f5]) ).
fof(f3512,plain,
spl52_485,
inference(avatar_split_clause,[],[f934,f3509]) ).
fof(f3509,plain,
( spl52_485
<=> n2 = sum(n23,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_485])]) ).
fof(f934,plain,
n2 = sum(n23,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f3507,plain,
spl52_484,
inference(avatar_split_clause,[],[f869,f3504]) ).
fof(f3504,plain,
( spl52_484
<=> n7 = sum(n5,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_484])]) ).
fof(f869,plain,
n7 = sum(n5,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f3502,plain,
spl52_483,
inference(avatar_split_clause,[],[f14,f3499]) ).
fof(f3499,plain,
( spl52_483
<=> n19 = sum(n3,n16) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_483])]) ).
fof(f14,plain,
n19 = sum(n3,n16),
inference(cnf_transformation,[],[f5]) ).
fof(f3497,plain,
spl52_482,
inference(avatar_split_clause,[],[f285,f3494]) ).
fof(f3494,plain,
( spl52_482
<=> sum(sum(pred(sK41),succ(sK41)),sum(pred(sK49),succ(sK49))) = sK7 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_482])]) ).
fof(f285,plain,
sum(sum(pred(sK41),succ(sK41)),sum(pred(sK49),succ(sK49))) = sK7,
inference(cnf_transformation,[],[f5]) ).
fof(f3492,plain,
~ spl52_481,
inference(avatar_split_clause,[],[f1060,f3489]) ).
fof(f3489,plain,
( spl52_481
<=> n22 = n25 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_481])]) ).
fof(f1060,plain,
n22 != n25,
inference(cnf_transformation,[],[f5]) ).
fof(f3487,plain,
spl52_480,
inference(avatar_split_clause,[],[f626,f3484]) ).
fof(f3484,plain,
( spl52_480
<=> succ(n0) = n1 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_480])]) ).
fof(f626,plain,
succ(n0) = n1,
inference(cnf_transformation,[],[f5]) ).
fof(f3482,plain,
spl52_479,
inference(avatar_split_clause,[],[f1085,f3479]) ).
fof(f3479,plain,
( spl52_479
<=> n15 = sum(n4,n11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_479])]) ).
fof(f1085,plain,
n15 = sum(n4,n11),
inference(cnf_transformation,[],[f5]) ).
fof(f3477,plain,
~ spl52_478,
inference(avatar_split_clause,[],[f608,f3474]) ).
fof(f3474,plain,
( spl52_478
<=> n0 = n3 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_478])]) ).
fof(f608,plain,
n0 != n3,
inference(cnf_transformation,[],[f5]) ).
fof(f3472,plain,
spl52_477,
inference(avatar_split_clause,[],[f946,f3469]) ).
fof(f3469,plain,
( spl52_477
<=> n23 = sum(n16,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_477])]) ).
fof(f946,plain,
n23 = sum(n16,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f3467,plain,
~ spl52_476,
inference(avatar_split_clause,[],[f910,f3464]) ).
fof(f3464,plain,
( spl52_476
<=> n7 = n8 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_476])]) ).
fof(f910,plain,
n7 != n8,
inference(cnf_transformation,[],[f5]) ).
fof(f3462,plain,
spl52_475,
inference(avatar_split_clause,[],[f563,f3459]) ).
fof(f3459,plain,
( spl52_475
<=> n12 = sum(n13,n25) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_475])]) ).
fof(f563,plain,
n12 = sum(n13,n25),
inference(cnf_transformation,[],[f5]) ).
fof(f3457,plain,
spl52_474,
inference(avatar_split_clause,[],[f338,f3454]) ).
fof(f3454,plain,
( spl52_474
<=> n15 = sum(n24,n17) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_474])]) ).
fof(f338,plain,
n15 = sum(n24,n17),
inference(cnf_transformation,[],[f5]) ).
fof(f3452,plain,
spl52_473,
inference(avatar_split_clause,[],[f1080,f3449]) ).
fof(f3449,plain,
( spl52_473
<=> n23 = sum(n22,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_473])]) ).
fof(f1080,plain,
n23 = sum(n22,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f3447,plain,
~ spl52_472,
inference(avatar_split_clause,[],[f1070,f3444]) ).
fof(f3444,plain,
( spl52_472
<=> n11 = n14 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_472])]) ).
fof(f1070,plain,
n11 != n14,
inference(cnf_transformation,[],[f5]) ).
fof(f3442,plain,
spl52_471,
inference(avatar_split_clause,[],[f544,f3439]) ).
fof(f3439,plain,
( spl52_471
<=> n9 = sum(n7,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_471])]) ).
fof(f544,plain,
n9 = sum(n7,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f3437,plain,
~ spl52_470,
inference(avatar_split_clause,[],[f156,f3434]) ).
fof(f3434,plain,
( spl52_470
<=> n8 = n10 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_470])]) ).
fof(f156,plain,
n8 != n10,
inference(cnf_transformation,[],[f5]) ).
fof(f3432,plain,
spl52_469,
inference(avatar_split_clause,[],[f347,f3429]) ).
fof(f3429,plain,
( spl52_469
<=> n9 = sum(n15,n20) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_469])]) ).
fof(f347,plain,
n9 = sum(n15,n20),
inference(cnf_transformation,[],[f5]) ).
fof(f3427,plain,
~ spl52_468,
inference(avatar_split_clause,[],[f731,f3424]) ).
fof(f3424,plain,
( spl52_468
<=> n10 = n25 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_468])]) ).
fof(f731,plain,
n10 != n25,
inference(cnf_transformation,[],[f5]) ).
fof(f3422,plain,
spl52_467,
inference(avatar_split_clause,[],[f577,f3419]) ).
fof(f3419,plain,
( spl52_467
<=> n14 = sum(n19,n21) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_467])]) ).
fof(f577,plain,
n14 = sum(n19,n21),
inference(cnf_transformation,[],[f5]) ).
fof(f3417,plain,
spl52_466,
inference(avatar_split_clause,[],[f50,f3414]) ).
fof(f3414,plain,
( spl52_466
<=> n13 = sum(n9,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_466])]) ).
fof(f50,plain,
n13 = sum(n9,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f3412,plain,
spl52_465,
inference(avatar_split_clause,[],[f498,f3409]) ).
fof(f3409,plain,
( spl52_465
<=> n15 = sum(n22,n19) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_465])]) ).
fof(f498,plain,
n15 = sum(n22,n19),
inference(cnf_transformation,[],[f5]) ).
fof(f3407,plain,
~ spl52_464,
inference(avatar_split_clause,[],[f219,f3404]) ).
fof(f3404,plain,
( spl52_464
<=> n6 = n9 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_464])]) ).
fof(f219,plain,
n6 != n9,
inference(cnf_transformation,[],[f5]) ).
fof(f3402,plain,
spl52_463,
inference(avatar_split_clause,[],[f176,f3399]) ).
fof(f3399,plain,
( spl52_463
<=> n7 = sum(n7,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_463])]) ).
fof(f176,plain,
n7 = sum(n7,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f3397,plain,
~ spl52_462,
inference(avatar_split_clause,[],[f114,f3394]) ).
fof(f3394,plain,
( spl52_462
<=> n9 = n16 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_462])]) ).
fof(f114,plain,
n9 != n16,
inference(cnf_transformation,[],[f5]) ).
fof(f3392,plain,
spl52_461,
inference(avatar_split_clause,[],[f389,f3389]) ).
fof(f3389,plain,
( spl52_461
<=> n6 = sum(n5,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_461])]) ).
fof(f389,plain,
n6 = sum(n5,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f3387,plain,
spl52_460,
inference(avatar_split_clause,[],[f692,f3384]) ).
fof(f3384,plain,
( spl52_460
<=> n17 = sum(n15,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_460])]) ).
fof(f692,plain,
n17 = sum(n15,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f3382,plain,
spl52_459,
inference(avatar_split_clause,[],[f742,f3379]) ).
fof(f3379,plain,
( spl52_459
<=> n8 = sum(n2,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_459])]) ).
fof(f742,plain,
n8 = sum(n2,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f3377,plain,
spl52_458,
inference(avatar_split_clause,[],[f767,f3374]) ).
fof(f3374,plain,
( spl52_458
<=> n5 = sum(n24,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_458])]) ).
fof(f767,plain,
n5 = sum(n24,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f3372,plain,
~ spl52_457,
inference(avatar_split_clause,[],[f117,f3369]) ).
fof(f3369,plain,
( spl52_457
<=> n13 = n17 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_457])]) ).
fof(f117,plain,
n13 != n17,
inference(cnf_transformation,[],[f5]) ).
fof(f3367,plain,
spl52_456,
inference(avatar_split_clause,[],[f1052,f3364]) ).
fof(f3364,plain,
( spl52_456
<=> n3 = sum(n21,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_456])]) ).
fof(f1052,plain,
n3 = sum(n21,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f3362,plain,
spl52_455,
inference(avatar_split_clause,[],[f604,f3359]) ).
fof(f3359,plain,
( spl52_455
<=> n7 = pred(n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_455])]) ).
fof(f604,plain,
n7 = pred(n8),
inference(cnf_transformation,[],[f5]) ).
fof(f3357,plain,
spl52_454,
inference(avatar_split_clause,[],[f506,f3354]) ).
fof(f3354,plain,
( spl52_454
<=> n25 = sum(n12,n13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_454])]) ).
fof(f506,plain,
n25 = sum(n12,n13),
inference(cnf_transformation,[],[f5]) ).
fof(f3352,plain,
spl52_453,
inference(avatar_split_clause,[],[f1006,f3349]) ).
fof(f3349,plain,
( spl52_453
<=> n20 = sum(n2,n18) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_453])]) ).
fof(f1006,plain,
n20 = sum(n2,n18),
inference(cnf_transformation,[],[f5]) ).
fof(f3347,plain,
spl52_452,
inference(avatar_split_clause,[],[f280,f3344]) ).
fof(f3344,plain,
( spl52_452
<=> n19 = sum(n25,n20) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_452])]) ).
fof(f280,plain,
n19 = sum(n25,n20),
inference(cnf_transformation,[],[f5]) ).
fof(f3342,plain,
~ spl52_451,
inference(avatar_split_clause,[],[f974,f3339]) ).
fof(f3339,plain,
( spl52_451
<=> n3 = n12 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_451])]) ).
fof(f974,plain,
n3 != n12,
inference(cnf_transformation,[],[f5]) ).
fof(f3337,plain,
spl52_450,
inference(avatar_split_clause,[],[f472,f3334]) ).
fof(f3334,plain,
( spl52_450
<=> n4 = sum(n19,n11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_450])]) ).
fof(f472,plain,
n4 = sum(n19,n11),
inference(cnf_transformation,[],[f5]) ).
fof(f3332,plain,
spl52_449,
inference(avatar_split_clause,[],[f567,f3329]) ).
fof(f3329,plain,
( spl52_449
<=> n15 = sum(n1,n14) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_449])]) ).
fof(f567,plain,
n15 = sum(n1,n14),
inference(cnf_transformation,[],[f5]) ).
fof(f3327,plain,
spl52_448,
inference(avatar_split_clause,[],[f996,f3324]) ).
fof(f3324,plain,
( spl52_448
<=> n8 = sum(n16,n18) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_448])]) ).
fof(f996,plain,
n8 = sum(n16,n18),
inference(cnf_transformation,[],[f5]) ).
fof(f3322,plain,
~ spl52_447,
inference(avatar_split_clause,[],[f191,f3319]) ).
fof(f3319,plain,
( spl52_447
<=> n3 = n17 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_447])]) ).
fof(f191,plain,
n3 != n17,
inference(cnf_transformation,[],[f5]) ).
fof(f3317,plain,
spl52_446,
inference(avatar_split_clause,[],[f764,f3314]) ).
fof(f3314,plain,
( spl52_446
<=> n21 = sum(n12,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_446])]) ).
fof(f764,plain,
n21 = sum(n12,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f3312,plain,
spl52_445,
inference(avatar_split_clause,[],[f385,f3309]) ).
fof(f3309,plain,
( spl52_445
<=> n15 = sum(n12,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_445])]) ).
fof(f385,plain,
n15 = sum(n12,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f3307,plain,
~ spl52_444,
inference(avatar_split_clause,[],[f674,f3304]) ).
fof(f3304,plain,
( spl52_444
<=> n1 = n11 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_444])]) ).
fof(f674,plain,
n1 != n11,
inference(cnf_transformation,[],[f5]) ).
fof(f3302,plain,
~ spl52_443,
inference(avatar_split_clause,[],[f288,f3299]) ).
fof(f3299,plain,
( spl52_443
<=> n6 = n15 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_443])]) ).
fof(f288,plain,
n6 != n15,
inference(cnf_transformation,[],[f5]) ).
fof(f3297,plain,
spl52_442,
inference(avatar_split_clause,[],[f607,f3294]) ).
fof(f3294,plain,
( spl52_442
<=> n20 = sum(n3,n17) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_442])]) ).
fof(f607,plain,
n20 = sum(n3,n17),
inference(cnf_transformation,[],[f5]) ).
fof(f3292,plain,
spl52_441,
inference(avatar_split_clause,[],[f582,f3289]) ).
fof(f3289,plain,
( spl52_441
<=> n15 = sum(n18,n23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_441])]) ).
fof(f582,plain,
n15 = sum(n18,n23),
inference(cnf_transformation,[],[f5]) ).
fof(f3287,plain,
spl52_440,
inference(avatar_split_clause,[],[f69,f3284]) ).
fof(f3284,plain,
( spl52_440
<=> n21 = sum(n15,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_440])]) ).
fof(f69,plain,
n21 = sum(n15,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f3282,plain,
spl52_439,
inference(avatar_split_clause,[],[f274,f3279]) ).
fof(f3279,plain,
( spl52_439
<=> n20 = sum(n9,n11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_439])]) ).
fof(f274,plain,
n20 = sum(n9,n11),
inference(cnf_transformation,[],[f5]) ).
fof(f3277,plain,
~ spl52_438,
inference(avatar_split_clause,[],[f859,f3274]) ).
fof(f3274,plain,
( spl52_438
<=> n6 = n16 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_438])]) ).
fof(f859,plain,
n6 != n16,
inference(cnf_transformation,[],[f5]) ).
fof(f3272,plain,
spl52_437,
inference(avatar_split_clause,[],[f839,f3269]) ).
fof(f3269,plain,
( spl52_437
<=> n12 = sum(n9,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_437])]) ).
fof(f839,plain,
n12 = sum(n9,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f3267,plain,
spl52_436,
inference(avatar_split_clause,[],[f518,f3264]) ).
fof(f3264,plain,
( spl52_436
<=> n2 = sum(n12,n16) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_436])]) ).
fof(f518,plain,
n2 = sum(n12,n16),
inference(cnf_transformation,[],[f5]) ).
fof(f3262,plain,
~ spl52_435,
inference(avatar_split_clause,[],[f894,f3259]) ).
fof(f3259,plain,
( spl52_435
<=> n23 = n24 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_435])]) ).
fof(f894,plain,
n23 != n24,
inference(cnf_transformation,[],[f5]) ).
fof(f3257,plain,
~ spl52_434,
inference(avatar_split_clause,[],[f113,f3254]) ).
fof(f3254,plain,
( spl52_434
<=> n9 = n20 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_434])]) ).
fof(f113,plain,
n9 != n20,
inference(cnf_transformation,[],[f5]) ).
fof(f3252,plain,
spl52_433,
inference(avatar_split_clause,[],[f985,f3249]) ).
fof(f3249,plain,
( spl52_433
<=> n2 = sum(n3,n25) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_433])]) ).
fof(f985,plain,
n2 = sum(n3,n25),
inference(cnf_transformation,[],[f5]) ).
fof(f3247,plain,
spl52_432,
inference(avatar_split_clause,[],[f496,f3244]) ).
fof(f3244,plain,
( spl52_432
<=> n14 = sum(n12,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_432])]) ).
fof(f496,plain,
n14 = sum(n12,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f3242,plain,
spl52_431,
inference(avatar_split_clause,[],[f991,f3239]) ).
fof(f3239,plain,
( spl52_431
<=> n13 = sum(n2,n11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_431])]) ).
fof(f991,plain,
n13 = sum(n2,n11),
inference(cnf_transformation,[],[f5]) ).
fof(f3237,plain,
spl52_430,
inference(avatar_split_clause,[],[f902,f3234]) ).
fof(f3234,plain,
( spl52_430
<=> n24 = sum(n10,n14) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_430])]) ).
fof(f902,plain,
n24 = sum(n10,n14),
inference(cnf_transformation,[],[f5]) ).
fof(f3232,plain,
spl52_429,
inference(avatar_split_clause,[],[f885,f3229]) ).
fof(f3229,plain,
( spl52_429
<=> n17 = sum(n24,n19) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_429])]) ).
fof(f885,plain,
n17 = sum(n24,n19),
inference(cnf_transformation,[],[f5]) ).
fof(f3227,plain,
~ spl52_428,
inference(avatar_split_clause,[],[f989,f3224]) ).
fof(f3224,plain,
( spl52_428
<=> n0 = n2 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_428])]) ).
fof(f989,plain,
n0 != n2,
inference(cnf_transformation,[],[f5]) ).
fof(f3222,plain,
spl52_427,
inference(avatar_split_clause,[],[f959,f3219]) ).
fof(f3219,plain,
( spl52_427
<=> n4 = sum(n25,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_427])]) ).
fof(f959,plain,
n4 = sum(n25,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f3217,plain,
spl52_426,
inference(avatar_split_clause,[],[f614,f3214]) ).
fof(f3214,plain,
( spl52_426
<=> n5 = sum(n6,n25) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_426])]) ).
fof(f614,plain,
n5 = sum(n6,n25),
inference(cnf_transformation,[],[f5]) ).
fof(f3212,plain,
spl52_425,
inference(avatar_split_clause,[],[f501,f3209]) ).
fof(f3209,plain,
( spl52_425
<=> n9 = sum(n10,n25) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_425])]) ).
fof(f501,plain,
n9 = sum(n10,n25),
inference(cnf_transformation,[],[f5]) ).
fof(f3207,plain,
spl52_424,
inference(avatar_split_clause,[],[f240,f3204]) ).
fof(f3204,plain,
( spl52_424
<=> n11 = sum(n5,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_424])]) ).
fof(f240,plain,
n11 = sum(n5,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f3202,plain,
~ spl52_423,
inference(avatar_split_clause,[],[f733,f3199]) ).
fof(f3199,plain,
( spl52_423
<=> n2 = n18 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_423])]) ).
fof(f733,plain,
n2 != n18,
inference(cnf_transformation,[],[f5]) ).
fof(f3197,plain,
spl52_422,
inference(avatar_split_clause,[],[f17,f3194]) ).
fof(f3194,plain,
( spl52_422
<=> succ(n1) = n2 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_422])]) ).
fof(f17,plain,
succ(n1) = n2,
inference(cnf_transformation,[],[f5]) ).
fof(f3192,plain,
spl52_421,
inference(avatar_split_clause,[],[f879,f3189]) ).
fof(f3189,plain,
( spl52_421
<=> n10 = sum(n14,n22) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_421])]) ).
fof(f879,plain,
n10 = sum(n14,n22),
inference(cnf_transformation,[],[f5]) ).
fof(f3187,plain,
spl52_420,
inference(avatar_split_clause,[],[f324,f3184]) ).
fof(f3184,plain,
( spl52_420
<=> n12 = sum(n15,n23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_420])]) ).
fof(f324,plain,
n12 = sum(n15,n23),
inference(cnf_transformation,[],[f5]) ).
fof(f3182,plain,
~ spl52_419,
inference(avatar_split_clause,[],[f724,f3179]) ).
fof(f3179,plain,
( spl52_419
<=> n1 = n17 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_419])]) ).
fof(f724,plain,
n1 != n17,
inference(cnf_transformation,[],[f5]) ).
fof(f3177,plain,
spl52_418,
inference(avatar_split_clause,[],[f1047,f3174]) ).
fof(f3174,plain,
( spl52_418
<=> n21 = sum(n6,n15) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_418])]) ).
fof(f1047,plain,
n21 = sum(n6,n15),
inference(cnf_transformation,[],[f5]) ).
fof(f3172,plain,
~ spl52_417,
inference(avatar_split_clause,[],[f1056,f3169]) ).
fof(f3169,plain,
( spl52_417
<=> n7 = n18 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_417])]) ).
fof(f1056,plain,
n7 != n18,
inference(cnf_transformation,[],[f5]) ).
fof(f3167,plain,
spl52_416,
inference(avatar_split_clause,[],[f65,f3164]) ).
fof(f3164,plain,
( spl52_416
<=> n4 = sum(n16,n14) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_416])]) ).
fof(f65,plain,
n4 = sum(n16,n14),
inference(cnf_transformation,[],[f5]) ).
fof(f3162,plain,
spl52_415,
inference(avatar_split_clause,[],[f977,f3159]) ).
fof(f3159,plain,
( spl52_415
<=> n16 = sum(n15,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_415])]) ).
fof(f977,plain,
n16 = sum(n15,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f3157,plain,
spl52_414,
inference(avatar_split_clause,[],[f168,f3154]) ).
fof(f3154,plain,
( spl52_414
<=> n14 = sum(n18,n22) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_414])]) ).
fof(f168,plain,
n14 = sum(n18,n22),
inference(cnf_transformation,[],[f5]) ).
fof(f3152,plain,
~ spl52_413,
inference(avatar_split_clause,[],[f994,f3149]) ).
fof(f3149,plain,
( spl52_413
<=> n4 = n15 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_413])]) ).
fof(f994,plain,
n4 != n15,
inference(cnf_transformation,[],[f5]) ).
fof(f3147,plain,
spl52_412,
inference(avatar_split_clause,[],[f832,f3144]) ).
fof(f3144,plain,
( spl52_412
<=> n11 = sum(n19,n18) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_412])]) ).
fof(f832,plain,
n11 = sum(n19,n18),
inference(cnf_transformation,[],[f5]) ).
fof(f3142,plain,
spl52_411,
inference(avatar_split_clause,[],[f826,f3139]) ).
fof(f3139,plain,
( spl52_411
<=> n18 = sum(n25,n19) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_411])]) ).
fof(f826,plain,
n18 = sum(n25,n19),
inference(cnf_transformation,[],[f5]) ).
fof(f3137,plain,
~ spl52_410,
inference(avatar_split_clause,[],[f539,f3134]) ).
fof(f3134,plain,
( spl52_410
<=> n11 = n23 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_410])]) ).
fof(f539,plain,
n11 != n23,
inference(cnf_transformation,[],[f5]) ).
fof(f3132,plain,
~ spl52_409,
inference(avatar_split_clause,[],[f474,f3129]) ).
fof(f3129,plain,
( spl52_409
<=> n2 = n16 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_409])]) ).
fof(f474,plain,
n2 != n16,
inference(cnf_transformation,[],[f5]) ).
fof(f3127,plain,
spl52_408,
inference(avatar_split_clause,[],[f432,f3124]) ).
fof(f3124,plain,
( spl52_408
<=> n18 = sum(n12,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_408])]) ).
fof(f432,plain,
n18 = sum(n12,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f3122,plain,
spl52_407,
inference(avatar_split_clause,[],[f652,f3119]) ).
fof(f3119,plain,
( spl52_407
<=> n1 = sum(n24,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_407])]) ).
fof(f652,plain,
n1 = sum(n24,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f3117,plain,
spl52_406,
inference(avatar_split_clause,[],[f806,f3114]) ).
fof(f3114,plain,
( spl52_406
<=> n7 = sum(n22,n11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_406])]) ).
fof(f806,plain,
n7 = sum(n22,n11),
inference(cnf_transformation,[],[f5]) ).
fof(f3112,plain,
spl52_405,
inference(avatar_split_clause,[],[f237,f3109]) ).
fof(f3109,plain,
( spl52_405
<=> n11 = sum(n11,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_405])]) ).
fof(f237,plain,
n11 = sum(n11,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f3107,plain,
spl52_404,
inference(avatar_split_clause,[],[f206,f3104]) ).
fof(f3104,plain,
( spl52_404
<=> n18 = sum(n0,n18) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_404])]) ).
fof(f206,plain,
n18 = sum(n0,n18),
inference(cnf_transformation,[],[f5]) ).
fof(f3102,plain,
spl52_403,
inference(avatar_split_clause,[],[f926,f3099]) ).
fof(f3099,plain,
( spl52_403
<=> n19 = sum(n17,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_403])]) ).
fof(f926,plain,
n19 = sum(n17,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f3097,plain,
~ spl52_402,
inference(avatar_split_clause,[],[f118,f3094]) ).
fof(f3094,plain,
( spl52_402
<=> n1 = n23 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_402])]) ).
fof(f118,plain,
n1 != n23,
inference(cnf_transformation,[],[f5]) ).
fof(f3092,plain,
spl52_401,
inference(avatar_split_clause,[],[f256,f3089]) ).
fof(f3089,plain,
( spl52_401
<=> n7 = sum(n10,n23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_401])]) ).
fof(f256,plain,
n7 = sum(n10,n23),
inference(cnf_transformation,[],[f5]) ).
fof(f3087,plain,
spl52_400,
inference(avatar_split_clause,[],[f395,f3084]) ).
fof(f3084,plain,
( spl52_400
<=> n16 = sum(n22,n20) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_400])]) ).
fof(f395,plain,
n16 = sum(n22,n20),
inference(cnf_transformation,[],[f5]) ).
fof(f3082,plain,
spl52_399,
inference(avatar_split_clause,[],[f870,f3079]) ).
fof(f3079,plain,
( spl52_399
<=> n16 = pred(n17) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_399])]) ).
fof(f870,plain,
n16 = pred(n17),
inference(cnf_transformation,[],[f5]) ).
fof(f3077,plain,
~ spl52_398,
inference(avatar_split_clause,[],[f679,f3074]) ).
fof(f3074,plain,
( spl52_398
<=> n7 = n17 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_398])]) ).
fof(f679,plain,
n7 != n17,
inference(cnf_transformation,[],[f5]) ).
fof(f3072,plain,
~ spl52_397,
inference(avatar_split_clause,[],[f1061,f3069]) ).
fof(f3069,plain,
( spl52_397
<=> n8 = n22 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_397])]) ).
fof(f1061,plain,
n8 != n22,
inference(cnf_transformation,[],[f5]) ).
fof(f3067,plain,
spl52_396,
inference(avatar_split_clause,[],[f684,f3064]) ).
fof(f3064,plain,
( spl52_396
<=> n8 = sum(n11,n23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_396])]) ).
fof(f684,plain,
n8 = sum(n11,n23),
inference(cnf_transformation,[],[f5]) ).
fof(f3062,plain,
spl52_395,
inference(avatar_split_clause,[],[f623,f3059]) ).
fof(f3059,plain,
( spl52_395
<=> sK43 = sum(sum(pred(sK34),succ(sK34)),sum(pred(sK7),succ(sK7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_395])]) ).
fof(f623,plain,
sK43 = sum(sum(pred(sK34),succ(sK34)),sum(pred(sK7),succ(sK7))),
inference(cnf_transformation,[],[f5]) ).
fof(f3057,plain,
spl52_394,
inference(avatar_split_clause,[],[f797,f3054]) ).
fof(f3054,plain,
( spl52_394
<=> sK39 = sum(sum(pred(sK15),succ(sK9)),sum(pred(sK9),succ(sK15))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_394])]) ).
fof(f797,plain,
sK39 = sum(sum(pred(sK15),succ(sK9)),sum(pred(sK9),succ(sK15))),
inference(cnf_transformation,[],[f5]) ).
fof(f3052,plain,
spl52_393,
inference(avatar_split_clause,[],[f541,f3049]) ).
fof(f3049,plain,
( spl52_393
<=> n11 = sum(n24,n13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_393])]) ).
fof(f541,plain,
n11 = sum(n24,n13),
inference(cnf_transformation,[],[f5]) ).
fof(f3047,plain,
spl52_392,
inference(avatar_split_clause,[],[f930,f3044]) ).
fof(f3044,plain,
( spl52_392
<=> n12 = sum(n2,n10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_392])]) ).
fof(f930,plain,
n12 = sum(n2,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f3042,plain,
~ spl52_391,
inference(avatar_split_clause,[],[f360,f3039]) ).
fof(f3039,plain,
( spl52_391
<=> n0 = n25 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_391])]) ).
fof(f360,plain,
n0 != n25,
inference(cnf_transformation,[],[f5]) ).
fof(f3037,plain,
spl52_390,
inference(avatar_split_clause,[],[f238,f3034]) ).
fof(f3034,plain,
( spl52_390
<=> n13 = sum(n14,n25) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_390])]) ).
fof(f238,plain,
n13 = sum(n14,n25),
inference(cnf_transformation,[],[f5]) ).
fof(f3032,plain,
spl52_389,
inference(avatar_split_clause,[],[f80,f3029]) ).
fof(f3029,plain,
( spl52_389
<=> n11 = sum(n16,n21) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_389])]) ).
fof(f80,plain,
n11 = sum(n16,n21),
inference(cnf_transformation,[],[f5]) ).
fof(f3027,plain,
~ spl52_388,
inference(avatar_split_clause,[],[f917,f3024]) ).
fof(f3024,plain,
( spl52_388
<=> n19 = n20 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_388])]) ).
fof(f917,plain,
n19 != n20,
inference(cnf_transformation,[],[f5]) ).
fof(f3022,plain,
spl52_387,
inference(avatar_split_clause,[],[f745,f3019]) ).
fof(f3019,plain,
( spl52_387
<=> n13 = sum(n12,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_387])]) ).
fof(f745,plain,
n13 = sum(n12,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f3017,plain,
spl52_386,
inference(avatar_split_clause,[],[f981,f3014]) ).
fof(f3014,plain,
( spl52_386
<=> n19 = sum(n20,n25) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_386])]) ).
fof(f981,plain,
n19 = sum(n20,n25),
inference(cnf_transformation,[],[f5]) ).
fof(f3012,plain,
spl52_385,
inference(avatar_split_clause,[],[f488,f3009]) ).
fof(f3009,plain,
( spl52_385
<=> n6 = sum(n7,n25) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_385])]) ).
fof(f488,plain,
n6 = sum(n7,n25),
inference(cnf_transformation,[],[f5]) ).
fof(f3007,plain,
spl52_384,
inference(avatar_split_clause,[],[f760,f3004]) ).
fof(f3004,plain,
( spl52_384
<=> n14 = sum(n1,n13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_384])]) ).
fof(f760,plain,
n14 = sum(n1,n13),
inference(cnf_transformation,[],[f5]) ).
fof(f3002,plain,
spl52_383,
inference(avatar_split_clause,[],[f1087,f2999]) ).
fof(f2999,plain,
( spl52_383
<=> n3 = sum(n13,n16) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_383])]) ).
fof(f1087,plain,
n3 = sum(n13,n16),
inference(cnf_transformation,[],[f5]) ).
fof(f2997,plain,
~ spl52_382,
inference(avatar_split_clause,[],[f417,f2994]) ).
fof(f2994,plain,
( spl52_382
<=> n3 = n25 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_382])]) ).
fof(f417,plain,
n3 != n25,
inference(cnf_transformation,[],[f5]) ).
fof(f2992,plain,
spl52_381,
inference(avatar_split_clause,[],[f960,f2989]) ).
fof(f2989,plain,
( spl52_381
<=> n14 = sum(n21,n19) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_381])]) ).
fof(f960,plain,
n14 = sum(n21,n19),
inference(cnf_transformation,[],[f5]) ).
fof(f2987,plain,
~ spl52_380,
inference(avatar_split_clause,[],[f392,f2984]) ).
fof(f2984,plain,
( spl52_380
<=> n14 = n20 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_380])]) ).
fof(f392,plain,
n14 != n20,
inference(cnf_transformation,[],[f5]) ).
fof(f2982,plain,
spl52_379,
inference(avatar_split_clause,[],[f1023,f2979]) ).
fof(f2979,plain,
( spl52_379
<=> n20 = sum(n5,n15) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_379])]) ).
fof(f1023,plain,
n20 = sum(n5,n15),
inference(cnf_transformation,[],[f5]) ).
fof(f2977,plain,
~ spl52_378,
inference(avatar_split_clause,[],[f862,f2974]) ).
fof(f2974,plain,
( spl52_378
<=> n7 = n11 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_378])]) ).
fof(f862,plain,
n7 != n11,
inference(cnf_transformation,[],[f5]) ).
fof(f2972,plain,
spl52_377,
inference(avatar_split_clause,[],[f271,f2969]) ).
fof(f2969,plain,
( spl52_377
<=> succ(n10) = n11 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_377])]) ).
fof(f271,plain,
succ(n10) = n11,
inference(cnf_transformation,[],[f5]) ).
fof(f2967,plain,
~ spl52_376,
inference(avatar_split_clause,[],[f58,f2964]) ).
fof(f2964,plain,
( spl52_376
<=> n2 = n14 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_376])]) ).
fof(f58,plain,
n2 != n14,
inference(cnf_transformation,[],[f5]) ).
fof(f2962,plain,
~ spl52_375,
inference(avatar_split_clause,[],[f63,f2959]) ).
fof(f2959,plain,
( spl52_375
<=> n3 = n6 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_375])]) ).
fof(f63,plain,
n3 != n6,
inference(cnf_transformation,[],[f5]) ).
fof(f2957,plain,
~ spl52_374,
inference(avatar_split_clause,[],[f53,f2954]) ).
fof(f2954,plain,
( spl52_374
<=> n1 = n2 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_374])]) ).
fof(f53,plain,
n1 != n2,
inference(cnf_transformation,[],[f5]) ).
fof(f2952,plain,
spl52_373,
inference(avatar_split_clause,[],[f782,f2949]) ).
fof(f2949,plain,
( spl52_373
<=> n19 = sum(n18,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_373])]) ).
fof(f782,plain,
n19 = sum(n18,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f2947,plain,
spl52_372,
inference(avatar_split_clause,[],[f1008,f2944]) ).
fof(f2944,plain,
( spl52_372
<=> n10 = sum(n1,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_372])]) ).
fof(f1008,plain,
n10 = sum(n1,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f2942,plain,
spl52_371,
inference(avatar_split_clause,[],[f110,f2939]) ).
fof(f2939,plain,
( spl52_371
<=> n5 = sum(n22,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_371])]) ).
fof(f110,plain,
n5 = sum(n22,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f2937,plain,
spl52_370,
inference(avatar_split_clause,[],[f701,f2934]) ).
fof(f2934,plain,
( spl52_370
<=> sK15 = sum(sum(pred(sK31),succ(sK22)),sum(pred(sK22),succ(sK31))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_370])]) ).
fof(f701,plain,
sK15 = sum(sum(pred(sK31),succ(sK22)),sum(pred(sK22),succ(sK31))),
inference(cnf_transformation,[],[f5]) ).
fof(f2932,plain,
spl52_369,
inference(avatar_split_clause,[],[f68,f2929]) ).
fof(f2929,plain,
( spl52_369
<=> n17 = sum(n14,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_369])]) ).
fof(f68,plain,
n17 = sum(n14,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f2927,plain,
spl52_368,
inference(avatar_split_clause,[],[f628,f2924]) ).
fof(f2924,plain,
( spl52_368
<=> n24 = sum(n12,n12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_368])]) ).
fof(f628,plain,
n24 = sum(n12,n12),
inference(cnf_transformation,[],[f5]) ).
fof(f2922,plain,
spl52_367,
inference(avatar_split_clause,[],[f630,f2919]) ).
fof(f2919,plain,
( spl52_367
<=> n3 = sum(n5,n24) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_367])]) ).
fof(f630,plain,
n3 = sum(n5,n24),
inference(cnf_transformation,[],[f5]) ).
fof(f2917,plain,
~ spl52_366,
inference(avatar_split_clause,[],[f359,f2914]) ).
fof(f2914,plain,
( spl52_366
<=> n0 = n17 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_366])]) ).
fof(f359,plain,
n0 != n17,
inference(cnf_transformation,[],[f5]) ).
fof(f2912,plain,
~ spl52_365,
inference(avatar_split_clause,[],[f1104,f2909]) ).
fof(f2909,plain,
( spl52_365
<=> n11 = n25 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_365])]) ).
fof(f1104,plain,
n11 != n25,
inference(cnf_transformation,[],[f5]) ).
fof(f2907,plain,
~ spl52_364,
inference(avatar_split_clause,[],[f549,f2904]) ).
fof(f2904,plain,
( spl52_364
<=> n6 = n7 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_364])]) ).
fof(f549,plain,
n6 != n7,
inference(cnf_transformation,[],[f5]) ).
fof(f2902,plain,
spl52_363,
inference(avatar_split_clause,[],[f876,f2899]) ).
fof(f2899,plain,
( spl52_363
<=> succ(n22) = n23 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_363])]) ).
fof(f876,plain,
succ(n22) = n23,
inference(cnf_transformation,[],[f5]) ).
fof(f2897,plain,
spl52_362,
inference(avatar_split_clause,[],[f452,f2894]) ).
fof(f2894,plain,
( spl52_362
<=> n1 = sum(n8,n19) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_362])]) ).
fof(f452,plain,
n1 = sum(n8,n19),
inference(cnf_transformation,[],[f5]) ).
fof(f2892,plain,
spl52_361,
inference(avatar_split_clause,[],[f458,f2889]) ).
fof(f2889,plain,
( spl52_361
<=> n22 = sum(n15,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_361])]) ).
fof(f458,plain,
n22 = sum(n15,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f2887,plain,
spl52_360,
inference(avatar_split_clause,[],[f925,f2884]) ).
fof(f2884,plain,
( spl52_360
<=> n10 = sum(n12,n24) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_360])]) ).
fof(f925,plain,
n10 = sum(n12,n24),
inference(cnf_transformation,[],[f5]) ).
fof(f2882,plain,
~ spl52_359,
inference(avatar_split_clause,[],[f8,f2879]) ).
fof(f2879,plain,
( spl52_359
<=> n3 = n16 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_359])]) ).
fof(f8,plain,
n3 != n16,
inference(cnf_transformation,[],[f5]) ).
fof(f2877,plain,
spl52_358,
inference(avatar_split_clause,[],[f949,f2874]) ).
fof(f2874,plain,
( spl52_358
<=> n16 = sum(n10,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_358])]) ).
fof(f949,plain,
n16 = sum(n10,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f2872,plain,
spl52_357,
inference(avatar_split_clause,[],[f769,f2869]) ).
fof(f2869,plain,
( spl52_357
<=> n12 = sum(n1,n11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_357])]) ).
fof(f769,plain,
n12 = sum(n1,n11),
inference(cnf_transformation,[],[f5]) ).
fof(f2867,plain,
spl52_356,
inference(avatar_split_clause,[],[f353,f2864]) ).
fof(f2864,plain,
( spl52_356
<=> n22 = sum(n24,n24) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_356])]) ).
fof(f353,plain,
n22 = sum(n24,n24),
inference(cnf_transformation,[],[f5]) ).
fof(f2862,plain,
spl52_355,
inference(avatar_split_clause,[],[f636,f2859]) ).
fof(f2859,plain,
( spl52_355
<=> n4 = sum(n3,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_355])]) ).
fof(f636,plain,
n4 = sum(n3,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f2857,plain,
spl52_354,
inference(avatar_split_clause,[],[f201,f2854]) ).
fof(f2854,plain,
( spl52_354
<=> n12 = sum(n19,n19) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_354])]) ).
fof(f201,plain,
n12 = sum(n19,n19),
inference(cnf_transformation,[],[f5]) ).
fof(f2852,plain,
~ spl52_353,
inference(avatar_split_clause,[],[f723,f2849]) ).
fof(f2849,plain,
( spl52_353
<=> n4 = n23 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_353])]) ).
fof(f723,plain,
n4 != n23,
inference(cnf_transformation,[],[f5]) ).
fof(f2847,plain,
~ spl52_352,
inference(avatar_split_clause,[],[f1036,f2844]) ).
fof(f2844,plain,
( spl52_352
<=> n8 = n23 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_352])]) ).
fof(f1036,plain,
n8 != n23,
inference(cnf_transformation,[],[f5]) ).
fof(f2842,plain,
spl52_351,
inference(avatar_split_clause,[],[f55,f2839]) ).
fof(f2839,plain,
( spl52_351
<=> succ(n14) = n15 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_351])]) ).
fof(f55,plain,
succ(n14) = n15,
inference(cnf_transformation,[],[f5]) ).
fof(f2837,plain,
spl52_350,
inference(avatar_split_clause,[],[f763,f2834]) ).
fof(f2834,plain,
( spl52_350
<=> n25 = sum(n22,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_350])]) ).
fof(f763,plain,
n25 = sum(n22,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f2832,plain,
spl52_349,
inference(avatar_split_clause,[],[f103,f2829]) ).
fof(f2829,plain,
( spl52_349
<=> n2 = pred(n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_349])]) ).
fof(f103,plain,
n2 = pred(n3),
inference(cnf_transformation,[],[f5]) ).
fof(f2827,plain,
~ spl52_348,
inference(avatar_split_clause,[],[f312,f2824]) ).
fof(f2824,plain,
( spl52_348
<=> n1 = n18 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_348])]) ).
fof(f312,plain,
n1 != n18,
inference(cnf_transformation,[],[f5]) ).
fof(f2822,plain,
spl52_347,
inference(avatar_split_clause,[],[f975,f2819]) ).
fof(f2819,plain,
( spl52_347
<=> n8 = sum(n4,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_347])]) ).
fof(f975,plain,
n8 = sum(n4,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f2817,plain,
~ spl52_346,
inference(avatar_split_clause,[],[f1017,f2814]) ).
fof(f2814,plain,
( spl52_346
<=> n11 = n20 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_346])]) ).
fof(f1017,plain,
n11 != n20,
inference(cnf_transformation,[],[f5]) ).
fof(f2812,plain,
spl52_345,
inference(avatar_split_clause,[],[f811,f2809]) ).
fof(f2809,plain,
( spl52_345
<=> n7 = sum(n9,n24) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_345])]) ).
fof(f811,plain,
n7 = sum(n9,n24),
inference(cnf_transformation,[],[f5]) ).
fof(f2807,plain,
spl52_344,
inference(avatar_split_clause,[],[f162,f2804]) ).
fof(f2804,plain,
( spl52_344
<=> n22 = sum(n25,n23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_344])]) ).
fof(f162,plain,
n22 = sum(n25,n23),
inference(cnf_transformation,[],[f5]) ).
fof(f2802,plain,
~ spl52_343,
inference(avatar_split_clause,[],[f215,f2799]) ).
fof(f2799,plain,
( spl52_343
<=> n0 = n14 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_343])]) ).
fof(f215,plain,
n0 != n14,
inference(cnf_transformation,[],[f5]) ).
fof(f2797,plain,
spl52_342,
inference(avatar_split_clause,[],[f780,f2794]) ).
fof(f2794,plain,
( spl52_342
<=> n21 = sum(n8,n13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_342])]) ).
fof(f780,plain,
n21 = sum(n8,n13),
inference(cnf_transformation,[],[f5]) ).
fof(f2792,plain,
spl52_341,
inference(avatar_split_clause,[],[f1009,f2789]) ).
fof(f2789,plain,
( spl52_341
<=> n3 = sum(n18,n11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_341])]) ).
fof(f1009,plain,
n3 = sum(n18,n11),
inference(cnf_transformation,[],[f5]) ).
fof(f2787,plain,
spl52_340,
inference(avatar_split_clause,[],[f872,f2784]) ).
fof(f2784,plain,
( spl52_340
<=> n14 = sum(n6,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_340])]) ).
fof(f872,plain,
n14 = sum(n6,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f2782,plain,
spl52_339,
inference(avatar_split_clause,[],[f259,f2779]) ).
fof(f2779,plain,
( spl52_339
<=> n14 = sum(n20,n20) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_339])]) ).
fof(f259,plain,
n14 = sum(n20,n20),
inference(cnf_transformation,[],[f5]) ).
fof(f2777,plain,
spl52_338,
inference(avatar_split_clause,[],[f1033,f2774]) ).
fof(f2774,plain,
( spl52_338
<=> n5 = sum(n20,n11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_338])]) ).
fof(f1033,plain,
n5 = sum(n20,n11),
inference(cnf_transformation,[],[f5]) ).
fof(f2772,plain,
~ spl52_337,
inference(avatar_split_clause,[],[f1025,f2769]) ).
fof(f2769,plain,
( spl52_337
<=> n5 = n22 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_337])]) ).
fof(f1025,plain,
n5 != n22,
inference(cnf_transformation,[],[f5]) ).
fof(f2767,plain,
spl52_336,
inference(avatar_split_clause,[],[f699,f2764]) ).
fof(f2764,plain,
( spl52_336
<=> n1 = sum(n25,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_336])]) ).
fof(f699,plain,
n1 = sum(n25,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f2762,plain,
spl52_335,
inference(avatar_split_clause,[],[f460,f2759]) ).
fof(f2759,plain,
( spl52_335
<=> n7 = sum(n24,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_335])]) ).
fof(f460,plain,
n7 = sum(n24,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f2757,plain,
spl52_334,
inference(avatar_split_clause,[],[f1071,f2754]) ).
fof(f2754,plain,
( spl52_334
<=> n12 = sum(n7,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_334])]) ).
fof(f1071,plain,
n12 = sum(n7,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f2752,plain,
spl52_333,
inference(avatar_split_clause,[],[f197,f2749]) ).
fof(f2749,plain,
( spl52_333
<=> n21 = sum(n24,n23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_333])]) ).
fof(f197,plain,
n21 = sum(n24,n23),
inference(cnf_transformation,[],[f5]) ).
fof(f2747,plain,
spl52_332,
inference(avatar_split_clause,[],[f645,f2744]) ).
fof(f2744,plain,
( spl52_332
<=> n12 = sum(n3,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_332])]) ).
fof(f645,plain,
n12 = sum(n3,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f2742,plain,
spl52_331,
inference(avatar_split_clause,[],[f776,f2739]) ).
fof(f2739,plain,
( spl52_331
<=> n24 = sum(n7,n17) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_331])]) ).
fof(f776,plain,
n24 = sum(n7,n17),
inference(cnf_transformation,[],[f5]) ).
fof(f2737,plain,
~ spl52_330,
inference(avatar_split_clause,[],[f228,f2734]) ).
fof(f2734,plain,
( spl52_330
<=> n20 = n22 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_330])]) ).
fof(f228,plain,
n20 != n22,
inference(cnf_transformation,[],[f5]) ).
fof(f2732,plain,
~ spl52_329,
inference(avatar_split_clause,[],[f704,f2729]) ).
fof(f2729,plain,
( spl52_329
<=> n16 = n23 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_329])]) ).
fof(f704,plain,
n16 != n23,
inference(cnf_transformation,[],[f5]) ).
fof(f2727,plain,
~ spl52_328,
inference(avatar_split_clause,[],[f1022,f2724]) ).
fof(f2724,plain,
( spl52_328
<=> n14 = n25 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_328])]) ).
fof(f1022,plain,
n14 != n25,
inference(cnf_transformation,[],[f5]) ).
fof(f2722,plain,
~ spl52_327,
inference(avatar_split_clause,[],[f1058,f2719]) ).
fof(f2719,plain,
( spl52_327
<=> n6 = n21 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_327])]) ).
fof(f1058,plain,
n6 != n21,
inference(cnf_transformation,[],[f5]) ).
fof(f2717,plain,
spl52_326,
inference(avatar_split_clause,[],[f564,f2714]) ).
fof(f2714,plain,
( spl52_326
<=> n5 = pred(n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_326])]) ).
fof(f564,plain,
n5 = pred(n6),
inference(cnf_transformation,[],[f5]) ).
fof(f2712,plain,
spl52_325,
inference(avatar_split_clause,[],[f160,f2709]) ).
fof(f2709,plain,
( spl52_325
<=> n2 = sum(n19,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_325])]) ).
fof(f160,plain,
n2 = sum(n19,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f2707,plain,
~ spl52_324,
inference(avatar_split_clause,[],[f1077,f2704]) ).
fof(f2704,plain,
( spl52_324
<=> n13 = n16 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_324])]) ).
fof(f1077,plain,
n13 != n16,
inference(cnf_transformation,[],[f5]) ).
fof(f2702,plain,
spl52_323,
inference(avatar_split_clause,[],[f445,f2699]) ).
fof(f2699,plain,
( spl52_323
<=> n2 = sum(n0,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_323])]) ).
fof(f445,plain,
n2 = sum(n0,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f2697,plain,
spl52_322,
inference(avatar_split_clause,[],[f924,f2694]) ).
fof(f2694,plain,
( spl52_322
<=> n20 = sum(n1,n19) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_322])]) ).
fof(f924,plain,
n20 = sum(n1,n19),
inference(cnf_transformation,[],[f5]) ).
fof(f2692,plain,
spl52_321,
inference(avatar_split_clause,[],[f921,f2689]) ).
fof(f2689,plain,
( spl52_321
<=> n21 = sum(n18,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_321])]) ).
fof(f921,plain,
n21 = sum(n18,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f2687,plain,
spl52_320,
inference(avatar_split_clause,[],[f224,f2684]) ).
fof(f2684,plain,
( spl52_320
<=> n23 = sum(n2,n21) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_320])]) ).
fof(f224,plain,
n23 = sum(n2,n21),
inference(cnf_transformation,[],[f5]) ).
fof(f2682,plain,
spl52_319,
inference(avatar_split_clause,[],[f584,f2679]) ).
fof(f2679,plain,
( spl52_319
<=> n19 = sum(n10,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_319])]) ).
fof(f584,plain,
n19 = sum(n10,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f2677,plain,
spl52_318,
inference(avatar_split_clause,[],[f871,f2674]) ).
fof(f2674,plain,
( spl52_318
<=> n21 = sum(n19,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_318])]) ).
fof(f871,plain,
n21 = sum(n19,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f2672,plain,
~ spl52_317,
inference(avatar_split_clause,[],[f82,f2669]) ).
fof(f2669,plain,
( spl52_317
<=> n9 = n12 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_317])]) ).
fof(f82,plain,
n9 != n12,
inference(cnf_transformation,[],[f5]) ).
fof(f2667,plain,
spl52_316,
inference(avatar_split_clause,[],[f553,f2664]) ).
fof(f2664,plain,
( spl52_316
<=> n1 = sum(n18,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_316])]) ).
fof(f553,plain,
n1 = sum(n18,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f2662,plain,
spl52_315,
inference(avatar_split_clause,[],[f182,f2659]) ).
fof(f2659,plain,
( spl52_315
<=> n20 = sum(n22,n24) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_315])]) ).
fof(f182,plain,
n20 = sum(n22,n24),
inference(cnf_transformation,[],[f5]) ).
fof(f2657,plain,
~ spl52_314,
inference(avatar_split_clause,[],[f303,f2654]) ).
fof(f2654,plain,
( spl52_314
<=> n0 = n7 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_314])]) ).
fof(f303,plain,
n0 != n7,
inference(cnf_transformation,[],[f5]) ).
fof(f2652,plain,
~ spl52_313,
inference(avatar_split_clause,[],[f108,f2649]) ).
fof(f2649,plain,
( spl52_313
<=> n13 = n23 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_313])]) ).
fof(f108,plain,
n13 != n23,
inference(cnf_transformation,[],[f5]) ).
fof(f2647,plain,
spl52_312,
inference(avatar_split_clause,[],[f802,f2644]) ).
fof(f2644,plain,
( spl52_312
<=> n2 = sum(n5,n23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_312])]) ).
fof(f802,plain,
n2 = sum(n5,n23),
inference(cnf_transformation,[],[f5]) ).
fof(f2642,plain,
~ spl52_311,
inference(avatar_split_clause,[],[f705,f2639]) ).
fof(f2639,plain,
( spl52_311
<=> n0 = n9 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_311])]) ).
fof(f705,plain,
n0 != n9,
inference(cnf_transformation,[],[f5]) ).
fof(f2637,plain,
spl52_310,
inference(avatar_split_clause,[],[f91,f2634]) ).
fof(f2634,plain,
( spl52_310
<=> n2 = sum(n14,n14) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_310])]) ).
fof(f91,plain,
n2 = sum(n14,n14),
inference(cnf_transformation,[],[f5]) ).
fof(f2632,plain,
spl52_309,
inference(avatar_split_clause,[],[f1035,f2629]) ).
fof(f2629,plain,
( spl52_309
<=> n10 = sum(n24,n12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_309])]) ).
fof(f1035,plain,
n10 = sum(n24,n12),
inference(cnf_transformation,[],[f5]) ).
fof(f2627,plain,
spl52_308,
inference(avatar_split_clause,[],[f690,f2624]) ).
fof(f2624,plain,
( spl52_308
<=> n23 = sum(n9,n14) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_308])]) ).
fof(f690,plain,
n23 = sum(n9,n14),
inference(cnf_transformation,[],[f5]) ).
fof(f2622,plain,
spl52_307,
inference(avatar_split_clause,[],[f253,f2619]) ).
fof(f2619,plain,
( spl52_307
<=> n19 = sum(n19,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_307])]) ).
fof(f253,plain,
n19 = sum(n19,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f2617,plain,
spl52_306,
inference(avatar_split_clause,[],[f428,f2614]) ).
fof(f2614,plain,
( spl52_306
<=> n8 = sum(n15,n19) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_306])]) ).
fof(f428,plain,
n8 = sum(n15,n19),
inference(cnf_transformation,[],[f5]) ).
fof(f2612,plain,
spl52_305,
inference(avatar_split_clause,[],[f225,f2609]) ).
fof(f2609,plain,
( spl52_305
<=> n15 = sum(n11,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_305])]) ).
fof(f225,plain,
n15 = sum(n11,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f2607,plain,
~ spl52_304,
inference(avatar_split_clause,[],[f1092,f2604]) ).
fof(f2604,plain,
( spl52_304
<=> n2 = n7 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_304])]) ).
fof(f1092,plain,
n2 != n7,
inference(cnf_transformation,[],[f5]) ).
fof(f2602,plain,
spl52_303,
inference(avatar_split_clause,[],[f424,f2599]) ).
fof(f2599,plain,
( spl52_303
<=> n2 = sum(n24,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_303])]) ).
fof(f424,plain,
n2 = sum(n24,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f2597,plain,
spl52_302,
inference(avatar_split_clause,[],[f561,f2594]) ).
fof(f2594,plain,
( spl52_302
<=> n17 = sum(n3,n14) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_302])]) ).
fof(f561,plain,
n17 = sum(n3,n14),
inference(cnf_transformation,[],[f5]) ).
fof(f2592,plain,
spl52_301,
inference(avatar_split_clause,[],[f659,f2589]) ).
fof(f2589,plain,
( spl52_301
<=> n9 = sum(n3,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_301])]) ).
fof(f659,plain,
n9 = sum(n3,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f2587,plain,
spl52_300,
inference(avatar_split_clause,[],[f899,f2584]) ).
fof(f2584,plain,
( spl52_300
<=> sK11 = sum(sum(pred(sK15),succ(sK15)),sum(pred(sK9),succ(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_300])]) ).
fof(f899,plain,
sK11 = sum(sum(pred(sK15),succ(sK15)),sum(pred(sK9),succ(sK9))),
inference(cnf_transformation,[],[f5]) ).
fof(f2582,plain,
spl52_299,
inference(avatar_split_clause,[],[f1048,f2579]) ).
fof(f2579,plain,
( spl52_299
<=> n20 = sum(n13,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_299])]) ).
fof(f1048,plain,
n20 = sum(n13,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f2577,plain,
spl52_298,
inference(avatar_split_clause,[],[f841,f2574]) ).
fof(f2574,plain,
( spl52_298
<=> n25 = sum(n14,n11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_298])]) ).
fof(f841,plain,
n25 = sum(n14,n11),
inference(cnf_transformation,[],[f5]) ).
fof(f2572,plain,
~ spl52_297,
inference(avatar_split_clause,[],[f140,f2569]) ).
fof(f2569,plain,
( spl52_297
<=> n13 = n22 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_297])]) ).
fof(f140,plain,
n13 != n22,
inference(cnf_transformation,[],[f5]) ).
fof(f2567,plain,
spl52_296,
inference(avatar_split_clause,[],[f57,f2564]) ).
fof(f2564,plain,
( spl52_296
<=> n15 = sum(n6,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_296])]) ).
fof(f57,plain,
n15 = sum(n6,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f2562,plain,
spl52_295,
inference(avatar_split_clause,[],[f621,f2559]) ).
fof(f2559,plain,
( spl52_295
<=> n20 = sum(n10,n10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_295])]) ).
fof(f621,plain,
n20 = sum(n10,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f2557,plain,
spl52_294,
inference(avatar_split_clause,[],[f410,f2554]) ).
fof(f2554,plain,
( spl52_294
<=> n9 = sum(n11,n24) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_294])]) ).
fof(f410,plain,
n9 = sum(n11,n24),
inference(cnf_transformation,[],[f5]) ).
fof(f2552,plain,
spl52_293,
inference(avatar_split_clause,[],[f335,f2549]) ).
fof(f2549,plain,
( spl52_293
<=> n16 = sum(n24,n18) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_293])]) ).
fof(f335,plain,
n16 = sum(n24,n18),
inference(cnf_transformation,[],[f5]) ).
fof(f2547,plain,
spl52_292,
inference(avatar_split_clause,[],[f1038,f2544]) ).
fof(f2544,plain,
( spl52_292
<=> n1 = sum(n11,n16) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_292])]) ).
fof(f1038,plain,
n1 = sum(n11,n16),
inference(cnf_transformation,[],[f5]) ).
fof(f2542,plain,
spl52_291,
inference(avatar_split_clause,[],[f109,f2539]) ).
fof(f2539,plain,
( spl52_291
<=> n13 = sum(n18,n21) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_291])]) ).
fof(f109,plain,
n13 = sum(n18,n21),
inference(cnf_transformation,[],[f5]) ).
fof(f2537,plain,
spl52_290,
inference(avatar_split_clause,[],[f706,f2534]) ).
fof(f2534,plain,
( spl52_290
<=> n4 = sum(n10,n20) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_290])]) ).
fof(f706,plain,
n4 = sum(n10,n20),
inference(cnf_transformation,[],[f5]) ).
fof(f2532,plain,
~ spl52_289,
inference(avatar_split_clause,[],[f308,f2529]) ).
fof(f2529,plain,
( spl52_289
<=> n10 = n21 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_289])]) ).
fof(f308,plain,
n10 != n21,
inference(cnf_transformation,[],[f5]) ).
fof(f2527,plain,
~ spl52_288,
inference(avatar_split_clause,[],[f227,f2524]) ).
fof(f2524,plain,
( spl52_288
<=> n1 = n3 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_288])]) ).
fof(f227,plain,
n1 != n3,
inference(cnf_transformation,[],[f5]) ).
fof(f2522,plain,
spl52_287,
inference(avatar_split_clause,[],[f967,f2519]) ).
fof(f2519,plain,
( spl52_287
<=> n12 = sum(n6,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_287])]) ).
fof(f967,plain,
n12 = sum(n6,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f2517,plain,
spl52_286,
inference(avatar_split_clause,[],[f863,f2514]) ).
fof(f2514,plain,
( spl52_286
<=> n6 = sum(n16,n16) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_286])]) ).
fof(f863,plain,
n6 = sum(n16,n16),
inference(cnf_transformation,[],[f5]) ).
fof(f2512,plain,
spl52_285,
inference(avatar_split_clause,[],[f478,f2509]) ).
fof(f2509,plain,
( spl52_285
<=> n12 = sum(n5,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_285])]) ).
fof(f478,plain,
n12 = sum(n5,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f2507,plain,
spl52_284,
inference(avatar_split_clause,[],[f70,f2504]) ).
fof(f2504,plain,
( spl52_284
<=> n20 = sum(n23,n23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_284])]) ).
fof(f70,plain,
n20 = sum(n23,n23),
inference(cnf_transformation,[],[f5]) ).
fof(f2502,plain,
spl52_283,
inference(avatar_split_clause,[],[f305,f2499]) ).
fof(f2499,plain,
( spl52_283
<=> n4 = sum(n21,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_283])]) ).
fof(f305,plain,
n4 = sum(n21,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f2497,plain,
spl52_282,
inference(avatar_split_clause,[],[f513,f2494]) ).
fof(f2494,plain,
( spl52_282
<=> n21 = sum(n23,n24) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_282])]) ).
fof(f513,plain,
n21 = sum(n23,n24),
inference(cnf_transformation,[],[f5]) ).
fof(f2492,plain,
spl52_281,
inference(avatar_split_clause,[],[f543,f2489]) ).
fof(f2489,plain,
( spl52_281
<=> n24 = sum(n0,n24) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_281])]) ).
fof(f543,plain,
n24 = sum(n0,n24),
inference(cnf_transformation,[],[f5]) ).
fof(f2487,plain,
spl52_280,
inference(avatar_split_clause,[],[f640,f2484]) ).
fof(f2484,plain,
( spl52_280
<=> n11 = sum(n8,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_280])]) ).
fof(f640,plain,
n11 = sum(n8,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f2482,plain,
spl52_279,
inference(avatar_split_clause,[],[f793,f2479]) ).
fof(f2479,plain,
( spl52_279
<=> n15 = sum(n23,n18) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_279])]) ).
fof(f793,plain,
n15 = sum(n23,n18),
inference(cnf_transformation,[],[f5]) ).
fof(f2477,plain,
spl52_278,
inference(avatar_split_clause,[],[f655,f2474]) ).
fof(f2474,plain,
( spl52_278
<=> n4 = sum(n14,n16) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_278])]) ).
fof(f655,plain,
n4 = sum(n14,n16),
inference(cnf_transformation,[],[f5]) ).
fof(f2472,plain,
spl52_277,
inference(avatar_split_clause,[],[f62,f2469]) ).
fof(f2469,plain,
( spl52_277
<=> n12 = sum(n10,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_277])]) ).
fof(f62,plain,
n12 = sum(n10,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f2467,plain,
spl52_276,
inference(avatar_split_clause,[],[f71,f2464]) ).
fof(f2464,plain,
( spl52_276
<=> n16 = sum(n12,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_276])]) ).
fof(f71,plain,
n16 = sum(n12,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f2462,plain,
spl52_275,
inference(avatar_split_clause,[],[f867,f2459]) ).
fof(f2459,plain,
( spl52_275
<=> n14 = sum(n16,n24) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_275])]) ).
fof(f867,plain,
n14 = sum(n16,n24),
inference(cnf_transformation,[],[f5]) ).
fof(f2457,plain,
~ spl52_274,
inference(avatar_split_clause,[],[f932,f2454]) ).
fof(f2454,plain,
( spl52_274
<=> n8 = n17 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_274])]) ).
fof(f932,plain,
n8 != n17,
inference(cnf_transformation,[],[f5]) ).
fof(f2452,plain,
spl52_273,
inference(avatar_split_clause,[],[f510,f2449]) ).
fof(f2449,plain,
( spl52_273
<=> n3 = sum(n23,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_273])]) ).
fof(f510,plain,
n3 = sum(n23,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f2447,plain,
spl52_272,
inference(avatar_split_clause,[],[f302,f2444]) ).
fof(f2444,plain,
( spl52_272
<=> n24 = sum(n8,n16) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_272])]) ).
fof(f302,plain,
n24 = sum(n8,n16),
inference(cnf_transformation,[],[f5]) ).
fof(f2442,plain,
spl52_271,
inference(avatar_split_clause,[],[f328,f2439]) ).
fof(f2439,plain,
( spl52_271
<=> n12 = sum(n22,n16) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_271])]) ).
fof(f328,plain,
n12 = sum(n22,n16),
inference(cnf_transformation,[],[f5]) ).
fof(f2437,plain,
spl52_270,
inference(avatar_split_clause,[],[f72,f2434]) ).
fof(f2434,plain,
( spl52_270
<=> n25 = sum(n13,n12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_270])]) ).
fof(f72,plain,
n25 = sum(n13,n12),
inference(cnf_transformation,[],[f5]) ).
fof(f2432,plain,
~ spl52_269,
inference(avatar_split_clause,[],[f343,f2429]) ).
fof(f2429,plain,
( spl52_269
<=> n0 = n18 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_269])]) ).
fof(f343,plain,
n0 != n18,
inference(cnf_transformation,[],[f5]) ).
fof(f2427,plain,
spl52_268,
inference(avatar_split_clause,[],[f66,f2424]) ).
fof(f2424,plain,
( spl52_268
<=> n19 = sum(n22,n23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_268])]) ).
fof(f66,plain,
n19 = sum(n22,n23),
inference(cnf_transformation,[],[f5]) ).
fof(f2422,plain,
~ spl52_267,
inference(avatar_split_clause,[],[f351,f2419]) ).
fof(f2419,plain,
( spl52_267
<=> n2 = n13 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_267])]) ).
fof(f351,plain,
n2 != n13,
inference(cnf_transformation,[],[f5]) ).
fof(f2417,plain,
~ spl52_266,
inference(avatar_split_clause,[],[f552,f2414]) ).
fof(f2414,plain,
( spl52_266
<=> n7 = n9 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_266])]) ).
fof(f552,plain,
n7 != n9,
inference(cnf_transformation,[],[f5]) ).
fof(f2412,plain,
spl52_265,
inference(avatar_split_clause,[],[f554,f2409]) ).
fof(f2409,plain,
( spl52_265
<=> succ(n23) = n24 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_265])]) ).
fof(f554,plain,
succ(n23) = n24,
inference(cnf_transformation,[],[f5]) ).
fof(f2407,plain,
~ spl52_264,
inference(avatar_split_clause,[],[f574,f2404]) ).
fof(f2404,plain,
( spl52_264
<=> n11 = n22 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_264])]) ).
fof(f574,plain,
n11 != n22,
inference(cnf_transformation,[],[f5]) ).
fof(f2402,plain,
spl52_263,
inference(avatar_split_clause,[],[f107,f2399]) ).
fof(f2399,plain,
( spl52_263
<=> n22 = sum(n19,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_263])]) ).
fof(f107,plain,
n22 = sum(n19,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f2397,plain,
spl52_262,
inference(avatar_split_clause,[],[f791,f2394]) ).
fof(f2394,plain,
( spl52_262
<=> n22 = sum(n12,n10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_262])]) ).
fof(f791,plain,
n22 = sum(n12,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f2392,plain,
spl52_261,
inference(avatar_split_clause,[],[f535,f2389]) ).
fof(f2389,plain,
( spl52_261
<=> n8 = sum(n1,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_261])]) ).
fof(f535,plain,
n8 = sum(n1,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f2387,plain,
spl52_260,
inference(avatar_split_clause,[],[f1100,f2384]) ).
fof(f2384,plain,
( spl52_260
<=> n10 = sum(n7,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_260])]) ).
fof(f1100,plain,
n10 = sum(n7,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f2382,plain,
spl52_259,
inference(avatar_split_clause,[],[f978,f2379]) ).
fof(f2379,plain,
( spl52_259
<=> n22 = sum(n4,n18) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_259])]) ).
fof(f978,plain,
n22 = sum(n4,n18),
inference(cnf_transformation,[],[f5]) ).
fof(f2377,plain,
~ spl52_258,
inference(avatar_split_clause,[],[f664,f2374]) ).
fof(f2374,plain,
( spl52_258
<=> n1 = n16 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_258])]) ).
fof(f664,plain,
n1 != n16,
inference(cnf_transformation,[],[f5]) ).
fof(f2372,plain,
spl52_257,
inference(avatar_split_clause,[],[f900,f2369]) ).
fof(f2369,plain,
( spl52_257
<=> n23 = sum(n1,n22) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_257])]) ).
fof(f900,plain,
n23 = sum(n1,n22),
inference(cnf_transformation,[],[f5]) ).
fof(f2367,plain,
spl52_256,
inference(avatar_split_clause,[],[f528,f2364]) ).
fof(f2364,plain,
( spl52_256
<=> n11 = sum(n14,n23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_256])]) ).
fof(f528,plain,
n11 = sum(n14,n23),
inference(cnf_transformation,[],[f5]) ).
fof(f2362,plain,
spl52_255,
inference(avatar_split_clause,[],[f497,f2359]) ).
fof(f2359,plain,
( spl52_255
<=> n14 = sum(n25,n15) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_255])]) ).
fof(f497,plain,
n14 = sum(n25,n15),
inference(cnf_transformation,[],[f5]) ).
fof(f2357,plain,
~ spl52_254,
inference(avatar_split_clause,[],[f693,f2354]) ).
fof(f2354,plain,
( spl52_254
<=> n10 = n22 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_254])]) ).
fof(f693,plain,
n10 != n22,
inference(cnf_transformation,[],[f5]) ).
fof(f2352,plain,
spl52_253,
inference(avatar_split_clause,[],[f331,f2349]) ).
fof(f2349,plain,
( spl52_253
<=> n9 = sum(n24,n11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_253])]) ).
fof(f331,plain,
n9 = sum(n24,n11),
inference(cnf_transformation,[],[f5]) ).
fof(f2347,plain,
spl52_252,
inference(avatar_split_clause,[],[f123,f2344]) ).
fof(f2344,plain,
( spl52_252
<=> n14 = pred(n15) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_252])]) ).
fof(f123,plain,
n14 = pred(n15),
inference(cnf_transformation,[],[f5]) ).
fof(f2342,plain,
spl52_251,
inference(avatar_split_clause,[],[f898,f2339]) ).
fof(f2339,plain,
( spl52_251
<=> n5 = sum(n18,n13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_251])]) ).
fof(f898,plain,
n5 = sum(n18,n13),
inference(cnf_transformation,[],[f5]) ).
fof(f2337,plain,
spl52_250,
inference(avatar_split_clause,[],[f481,f2334]) ).
fof(f2334,plain,
( spl52_250
<=> n5 = sum(n23,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_250])]) ).
fof(f481,plain,
n5 = sum(n23,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f2332,plain,
spl52_249,
inference(avatar_split_clause,[],[f86,f2329]) ).
fof(f2329,plain,
( spl52_249
<=> n25 = sum(n18,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_249])]) ).
fof(f86,plain,
n25 = sum(n18,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f2327,plain,
spl52_248,
inference(avatar_split_clause,[],[f1091,f2324]) ).
fof(f2324,plain,
( spl52_248
<=> n10 = sum(n10,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_248])]) ).
fof(f1091,plain,
n10 = sum(n10,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f2322,plain,
spl52_247,
inference(avatar_split_clause,[],[f170,f2319]) ).
fof(f2319,plain,
( spl52_247
<=> sum(sum(pred(sK27),succ(sK51)),sum(pred(sK51),succ(sK27))) = sK46 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_247])]) ).
fof(f170,plain,
sum(sum(pred(sK27),succ(sK51)),sum(pred(sK51),succ(sK27))) = sK46,
inference(cnf_transformation,[],[f5]) ).
fof(f2317,plain,
spl52_246,
inference(avatar_split_clause,[],[f382,f2314]) ).
fof(f2314,plain,
( spl52_246
<=> n23 = sum(n21,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_246])]) ).
fof(f382,plain,
n23 = sum(n21,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f2312,plain,
~ spl52_245,
inference(avatar_split_clause,[],[f213,f2309]) ).
fof(f2309,plain,
( spl52_245
<=> n9 = n25 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_245])]) ).
fof(f213,plain,
n9 != n25,
inference(cnf_transformation,[],[f5]) ).
fof(f2307,plain,
spl52_244,
inference(avatar_split_clause,[],[f276,f2304]) ).
fof(f2304,plain,
( spl52_244
<=> n17 = sum(n17,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_244])]) ).
fof(f276,plain,
n17 = sum(n17,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f2302,plain,
~ spl52_243,
inference(avatar_split_clause,[],[f294,f2299]) ).
fof(f2299,plain,
( spl52_243
<=> n0 = n21 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_243])]) ).
fof(f294,plain,
n0 != n21,
inference(cnf_transformation,[],[f5]) ).
fof(f2297,plain,
~ spl52_242,
inference(avatar_split_clause,[],[f375,f2294]) ).
fof(f2294,plain,
( spl52_242
<=> n0 = n1 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_242])]) ).
fof(f375,plain,
n0 != n1,
inference(cnf_transformation,[],[f5]) ).
fof(f2292,plain,
spl52_241,
inference(avatar_split_clause,[],[f440,f2289]) ).
fof(f2289,plain,
( spl52_241
<=> n22 = sum(n16,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_241])]) ).
fof(f440,plain,
n22 = sum(n16,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f2287,plain,
spl52_240,
inference(avatar_split_clause,[],[f350,f2284]) ).
fof(f2284,plain,
( spl52_240
<=> sK34 = sum(sum(pred(sK41),succ(sK49)),sum(pred(sK49),succ(sK41))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_240])]) ).
fof(f350,plain,
sK34 = sum(sum(pred(sK41),succ(sK49)),sum(pred(sK49),succ(sK41))),
inference(cnf_transformation,[],[f5]) ).
fof(f2282,plain,
spl52_239,
inference(avatar_split_clause,[],[f753,f2279]) ).
fof(f2279,plain,
( spl52_239
<=> n1 = sum(n23,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_239])]) ).
fof(f753,plain,
n1 = sum(n23,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f2277,plain,
spl52_238,
inference(avatar_split_clause,[],[f631,f2274]) ).
fof(f2274,plain,
( spl52_238
<=> n23 = sum(n5,n18) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_238])]) ).
fof(f631,plain,
n23 = sum(n5,n18),
inference(cnf_transformation,[],[f5]) ).
fof(f2272,plain,
spl52_237,
inference(avatar_split_clause,[],[f1000,f2269]) ).
fof(f2269,plain,
( spl52_237
<=> n10 = sum(n15,n21) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_237])]) ).
fof(f1000,plain,
n10 = sum(n15,n21),
inference(cnf_transformation,[],[f5]) ).
fof(f2267,plain,
spl52_236,
inference(avatar_split_clause,[],[f329,f2264]) ).
fof(f2264,plain,
( spl52_236
<=> n12 = sum(n8,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_236])]) ).
fof(f329,plain,
n12 = sum(n8,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f2262,plain,
spl52_235,
inference(avatar_split_clause,[],[f7,f2259]) ).
fof(f2259,plain,
( spl52_235
<=> n10 = sum(n18,n18) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_235])]) ).
fof(f7,plain,
n10 = sum(n18,n18),
inference(cnf_transformation,[],[f5]) ).
fof(f2257,plain,
spl52_234,
inference(avatar_split_clause,[],[f743,f2254]) ).
fof(f2254,plain,
( spl52_234
<=> n8 = sum(n10,n24) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_234])]) ).
fof(f743,plain,
n8 = sum(n10,n24),
inference(cnf_transformation,[],[f5]) ).
fof(f2252,plain,
spl52_233,
inference(avatar_split_clause,[],[f59,f2249]) ).
fof(f2249,plain,
( spl52_233
<=> n11 = sum(n9,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_233])]) ).
fof(f59,plain,
n11 = sum(n9,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f2247,plain,
spl52_232,
inference(avatar_split_clause,[],[f404,f2244]) ).
fof(f2244,plain,
( spl52_232
<=> n15 = sum(n19,n22) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_232])]) ).
fof(f404,plain,
n15 = sum(n19,n22),
inference(cnf_transformation,[],[f5]) ).
fof(f2242,plain,
spl52_231,
inference(avatar_split_clause,[],[f235,f2239]) ).
fof(f2239,plain,
( spl52_231
<=> n9 = sum(n4,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_231])]) ).
fof(f235,plain,
n9 = sum(n4,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f2237,plain,
spl52_230,
inference(avatar_split_clause,[],[f883,f2234]) ).
fof(f2234,plain,
( spl52_230
<=> n19 = sum(n13,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_230])]) ).
fof(f883,plain,
n19 = sum(n13,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f2232,plain,
spl52_229,
inference(avatar_split_clause,[],[f346,f2229]) ).
fof(f2229,plain,
( spl52_229
<=> n16 = sum(n4,n12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_229])]) ).
fof(f346,plain,
n16 = sum(n4,n12),
inference(cnf_transformation,[],[f5]) ).
fof(f2227,plain,
~ spl52_228,
inference(avatar_split_clause,[],[f618,f2224]) ).
fof(f2224,plain,
( spl52_228
<=> n12 = n19 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_228])]) ).
fof(f618,plain,
n12 != n19,
inference(cnf_transformation,[],[f5]) ).
fof(f2222,plain,
~ spl52_227,
inference(avatar_split_clause,[],[f422,f2219]) ).
fof(f2219,plain,
( spl52_227
<=> n9 = n21 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_227])]) ).
fof(f422,plain,
n9 != n21,
inference(cnf_transformation,[],[f5]) ).
fof(f2217,plain,
~ spl52_226,
inference(avatar_split_clause,[],[f155,f2214]) ).
fof(f2214,plain,
( spl52_226
<=> n6 = n10 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_226])]) ).
fof(f155,plain,
n6 != n10,
inference(cnf_transformation,[],[f5]) ).
fof(f2212,plain,
spl52_225,
inference(avatar_split_clause,[],[f169,f2209]) ).
fof(f2209,plain,
( spl52_225
<=> n1 = sum(n5,n22) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_225])]) ).
fof(f169,plain,
n1 = sum(n5,n22),
inference(cnf_transformation,[],[f5]) ).
fof(f2207,plain,
spl52_224,
inference(avatar_split_clause,[],[f617,f2204]) ).
fof(f2204,plain,
( spl52_224
<=> n22 = sum(n1,n21) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_224])]) ).
fof(f617,plain,
n22 = sum(n1,n21),
inference(cnf_transformation,[],[f5]) ).
fof(f2202,plain,
~ spl52_223,
inference(avatar_split_clause,[],[f853,f2199]) ).
fof(f2199,plain,
( spl52_223
<=> n3 = n10 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_223])]) ).
fof(f853,plain,
n3 != n10,
inference(cnf_transformation,[],[f5]) ).
fof(f2197,plain,
spl52_222,
inference(avatar_split_clause,[],[f680,f2194]) ).
fof(f2194,plain,
( spl52_222
<=> n12 = sum(n12,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_222])]) ).
fof(f680,plain,
n12 = sum(n12,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f2192,plain,
spl52_221,
inference(avatar_split_clause,[],[f146,f2189]) ).
fof(f2189,plain,
( spl52_221
<=> n21 = sum(n4,n17) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_221])]) ).
fof(f146,plain,
n21 = sum(n4,n17),
inference(cnf_transformation,[],[f5]) ).
fof(f2187,plain,
spl52_220,
inference(avatar_split_clause,[],[f423,f2184]) ).
fof(f2184,plain,
( spl52_220
<=> sK9 = sum(sum(pred(sK31),succ(sK31)),sum(pred(sK22),succ(sK22))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_220])]) ).
fof(f423,plain,
sK9 = sum(sum(pred(sK31),succ(sK31)),sum(pred(sK22),succ(sK22))),
inference(cnf_transformation,[],[f5]) ).
fof(f2182,plain,
~ spl52_219,
inference(avatar_split_clause,[],[f824,f2179]) ).
fof(f2179,plain,
( spl52_219
<=> n1 = n20 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_219])]) ).
fof(f824,plain,
n1 != n20,
inference(cnf_transformation,[],[f5]) ).
fof(f2177,plain,
~ spl52_218,
inference(avatar_split_clause,[],[f284,f2174]) ).
fof(f2174,plain,
( spl52_218
<=> n6 = n25 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_218])]) ).
fof(f284,plain,
n6 != n25,
inference(cnf_transformation,[],[f5]) ).
fof(f2172,plain,
spl52_217,
inference(avatar_split_clause,[],[f719,f2169]) ).
fof(f2169,plain,
( spl52_217
<=> n10 = sum(n20,n16) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_217])]) ).
fof(f719,plain,
n10 = sum(n20,n16),
inference(cnf_transformation,[],[f5]) ).
fof(f2167,plain,
spl52_216,
inference(avatar_split_clause,[],[f1029,f2164]) ).
fof(f2164,plain,
( spl52_216
<=> n25 = sum(n10,n15) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_216])]) ).
fof(f1029,plain,
n25 = sum(n10,n15),
inference(cnf_transformation,[],[f5]) ).
fof(f2162,plain,
spl52_215,
inference(avatar_split_clause,[],[f426,f2159]) ).
fof(f2159,plain,
( spl52_215
<=> n16 = sum(n0,n16) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_215])]) ).
fof(f426,plain,
n16 = sum(n0,n16),
inference(cnf_transformation,[],[f5]) ).
fof(f2157,plain,
spl52_214,
inference(avatar_split_clause,[],[f492,f2154]) ).
fof(f2154,plain,
( spl52_214
<=> n4 = sum(n9,n21) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_214])]) ).
fof(f492,plain,
n4 = sum(n9,n21),
inference(cnf_transformation,[],[f5]) ).
fof(f2152,plain,
spl52_213,
inference(avatar_split_clause,[],[f292,f2149]) ).
fof(f2149,plain,
( spl52_213
<=> n11 = sum(n10,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_213])]) ).
fof(f292,plain,
n11 = sum(n10,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f2147,plain,
spl52_212,
inference(avatar_split_clause,[],[f548,f2144]) ).
fof(f2144,plain,
( spl52_212
<=> n6 = sum(n22,n10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_212])]) ).
fof(f548,plain,
n6 = sum(n22,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f2142,plain,
spl52_211,
inference(avatar_split_clause,[],[f489,f2139]) ).
fof(f2139,plain,
( spl52_211
<=> n19 = sum(n15,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_211])]) ).
fof(f489,plain,
n19 = sum(n15,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f2137,plain,
spl52_210,
inference(avatar_split_clause,[],[f1042,f2134]) ).
fof(f2134,plain,
( spl52_210
<=> n23 = sum(n0,n23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_210])]) ).
fof(f1042,plain,
n23 = sum(n0,n23),
inference(cnf_transformation,[],[f5]) ).
fof(f2132,plain,
spl52_209,
inference(avatar_split_clause,[],[f890,f2129]) ).
fof(f2129,plain,
( spl52_209
<=> n4 = pred(n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_209])]) ).
fof(f890,plain,
n4 = pred(n5),
inference(cnf_transformation,[],[f5]) ).
fof(f2127,plain,
~ spl52_208,
inference(avatar_split_clause,[],[f888,f2124]) ).
fof(f2124,plain,
( spl52_208
<=> n12 = n25 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_208])]) ).
fof(f888,plain,
n12 != n25,
inference(cnf_transformation,[],[f5]) ).
fof(f2122,plain,
~ spl52_207,
inference(avatar_split_clause,[],[f878,f2119]) ).
fof(f2119,plain,
( spl52_207
<=> n6 = n23 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_207])]) ).
fof(f878,plain,
n6 != n23,
inference(cnf_transformation,[],[f5]) ).
fof(f2117,plain,
~ spl52_206,
inference(avatar_split_clause,[],[f1054,f2114]) ).
fof(f2114,plain,
( spl52_206
<=> n8 = n18 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_206])]) ).
fof(f1054,plain,
n8 != n18,
inference(cnf_transformation,[],[f5]) ).
fof(f2112,plain,
spl52_205,
inference(avatar_split_clause,[],[f817,f2109]) ).
fof(f2109,plain,
( spl52_205
<=> n9 = sum(n6,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_205])]) ).
fof(f817,plain,
n9 = sum(n6,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f2107,plain,
spl52_204,
inference(avatar_split_clause,[],[f961,f2104]) ).
fof(f2104,plain,
( spl52_204
<=> n7 = sum(n13,n20) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_204])]) ).
fof(f961,plain,
n7 = sum(n13,n20),
inference(cnf_transformation,[],[f5]) ).
fof(f2102,plain,
spl52_203,
inference(avatar_split_clause,[],[f1059,f2099]) ).
fof(f2099,plain,
( spl52_203
<=> n18 = sum(n20,n24) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_203])]) ).
fof(f1059,plain,
n18 = sum(n20,n24),
inference(cnf_transformation,[],[f5]) ).
fof(f2097,plain,
spl52_202,
inference(avatar_split_clause,[],[f348,f2094]) ).
fof(f2094,plain,
( spl52_202
<=> sum(sum(pred(sK19),succ(sK29)),sum(pred(sK29),succ(sK19))) = sK12 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_202])]) ).
fof(f348,plain,
sum(sum(pred(sK19),succ(sK29)),sum(pred(sK29),succ(sK19))) = sK12,
inference(cnf_transformation,[],[f5]) ).
fof(f2092,plain,
spl52_201,
inference(avatar_split_clause,[],[f1084,f2089]) ).
fof(f2089,plain,
( spl52_201
<=> n11 = sum(n15,n22) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_201])]) ).
fof(f1084,plain,
n11 = sum(n15,n22),
inference(cnf_transformation,[],[f5]) ).
fof(f2087,plain,
spl52_200,
inference(avatar_split_clause,[],[f159,f2084]) ).
fof(f2084,plain,
( spl52_200
<=> n15 = sum(n13,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_200])]) ).
fof(f159,plain,
n15 = sum(n13,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f2082,plain,
spl52_199,
inference(avatar_split_clause,[],[f98,f2079]) ).
fof(f2079,plain,
( spl52_199
<=> sum(sum(pred(sK44),succ(sK44)),sum(pred(sK33),succ(sK33))) = sK37 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_199])]) ).
fof(f98,plain,
sum(sum(pred(sK44),succ(sK44)),sum(pred(sK33),succ(sK33))) = sK37,
inference(cnf_transformation,[],[f5]) ).
fof(f2077,plain,
spl52_198,
inference(avatar_split_clause,[],[f142,f2074]) ).
fof(f2074,plain,
( spl52_198
<=> n2 = sum(n11,n17) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_198])]) ).
fof(f142,plain,
n2 = sum(n11,n17),
inference(cnf_transformation,[],[f5]) ).
fof(f2072,plain,
spl52_197,
inference(avatar_split_clause,[],[f120,f2069]) ).
fof(f2069,plain,
( spl52_197
<=> n23 = sum(n19,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_197])]) ).
fof(f120,plain,
n23 = sum(n19,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f2067,plain,
spl52_196,
inference(avatar_split_clause,[],[f1044,f2064]) ).
fof(f2064,plain,
( spl52_196
<=> n19 = sum(n8,n11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_196])]) ).
fof(f1044,plain,
n19 = sum(n8,n11),
inference(cnf_transformation,[],[f5]) ).
fof(f2062,plain,
spl52_195,
inference(avatar_split_clause,[],[f947,f2059]) ).
fof(f2059,plain,
( spl52_195
<=> n0 = sum(n7,n19) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_195])]) ).
fof(f947,plain,
n0 = sum(n7,n19),
inference(cnf_transformation,[],[f5]) ).
fof(f2057,plain,
spl52_194,
inference(avatar_split_clause,[],[f46,f2054]) ).
fof(f2054,plain,
( spl52_194
<=> n9 = sum(n2,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_194])]) ).
fof(f46,plain,
n9 = sum(n2,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f2052,plain,
spl52_193,
inference(avatar_split_clause,[],[f218,f2049]) ).
fof(f2049,plain,
( spl52_193
<=> n16 = sum(n23,n19) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_193])]) ).
fof(f218,plain,
n16 = sum(n23,n19),
inference(cnf_transformation,[],[f5]) ).
fof(f2047,plain,
spl52_192,
inference(avatar_split_clause,[],[f83,f2044]) ).
fof(f2044,plain,
( spl52_192
<=> n20 = sum(n4,n16) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_192])]) ).
fof(f83,plain,
n20 = sum(n4,n16),
inference(cnf_transformation,[],[f5]) ).
fof(f2042,plain,
spl52_191,
inference(avatar_split_clause,[],[f469,f2039]) ).
fof(f2039,plain,
( spl52_191
<=> n5 = sum(n7,n24) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_191])]) ).
fof(f469,plain,
n5 = sum(n7,n24),
inference(cnf_transformation,[],[f5]) ).
fof(f2037,plain,
spl52_190,
inference(avatar_split_clause,[],[f384,f2034]) ).
fof(f2034,plain,
( spl52_190
<=> n7 = sum(n18,n15) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_190])]) ).
fof(f384,plain,
n7 = sum(n18,n15),
inference(cnf_transformation,[],[f5]) ).
fof(f2032,plain,
spl52_189,
inference(avatar_split_clause,[],[f970,f2029]) ).
fof(f2029,plain,
( spl52_189
<=> n17 = sum(n25,n18) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_189])]) ).
fof(f970,plain,
n17 = sum(n25,n18),
inference(cnf_transformation,[],[f5]) ).
fof(f2027,plain,
~ spl52_188,
inference(avatar_split_clause,[],[f542,f2024]) ).
fof(f2024,plain,
( spl52_188
<=> n8 = n13 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_188])]) ).
fof(f542,plain,
n8 != n13,
inference(cnf_transformation,[],[f5]) ).
fof(f2022,plain,
~ spl52_187,
inference(avatar_split_clause,[],[f599,f2019]) ).
fof(f2019,plain,
( spl52_187
<=> n9 = n19 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_187])]) ).
fof(f599,plain,
n9 != n19,
inference(cnf_transformation,[],[f5]) ).
fof(f2017,plain,
spl52_186,
inference(avatar_split_clause,[],[f301,f2014]) ).
fof(f2014,plain,
( spl52_186
<=> n2 = sum(n21,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_186])]) ).
fof(f301,plain,
n2 = sum(n21,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f2012,plain,
~ spl52_185,
inference(avatar_split_clause,[],[f658,f2009]) ).
fof(f2009,plain,
( spl52_185
<=> n2 = n19 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_185])]) ).
fof(f658,plain,
n2 != n19,
inference(cnf_transformation,[],[f5]) ).
fof(f2007,plain,
~ spl52_184,
inference(avatar_split_clause,[],[f820,f2004]) ).
fof(f2004,plain,
( spl52_184
<=> n17 = n23 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_184])]) ).
fof(f820,plain,
n17 != n23,
inference(cnf_transformation,[],[f5]) ).
fof(f2002,plain,
spl52_183,
inference(avatar_split_clause,[],[f1088,f1999]) ).
fof(f1999,plain,
( spl52_183
<=> n23 = sum(n11,n12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_183])]) ).
fof(f1088,plain,
n23 = sum(n11,n12),
inference(cnf_transformation,[],[f5]) ).
fof(f1997,plain,
spl52_182,
inference(avatar_split_clause,[],[f669,f1994]) ).
fof(f1994,plain,
( spl52_182
<=> sK48 = sum(sum(pred(sK38),succ(sK38)),sum(pred(sK20),succ(sK20))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_182])]) ).
fof(f669,plain,
sK48 = sum(sum(pred(sK38),succ(sK38)),sum(pred(sK20),succ(sK20))),
inference(cnf_transformation,[],[f5]) ).
fof(f1992,plain,
spl52_181,
inference(avatar_split_clause,[],[f849,f1989]) ).
fof(f1989,plain,
( spl52_181
<=> n7 = sum(n17,n16) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_181])]) ).
fof(f849,plain,
n7 = sum(n17,n16),
inference(cnf_transformation,[],[f5]) ).
fof(f1987,plain,
spl52_180,
inference(avatar_split_clause,[],[f848,f1984]) ).
fof(f1984,plain,
( spl52_180
<=> sum(sum(pred(sK8),succ(sK8)),sum(pred(sK47),succ(sK47))) = sK51 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_180])]) ).
fof(f848,plain,
sum(sum(pred(sK8),succ(sK8)),sum(pred(sK47),succ(sK47))) = sK51,
inference(cnf_transformation,[],[f5]) ).
fof(f1982,plain,
~ spl52_179,
inference(avatar_split_clause,[],[f803,f1979]) ).
fof(f1979,plain,
( spl52_179
<=> n0 = n11 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_179])]) ).
fof(f803,plain,
n0 != n11,
inference(cnf_transformation,[],[f5]) ).
fof(f1977,plain,
spl52_178,
inference(avatar_split_clause,[],[f916,f1974]) ).
fof(f1974,plain,
( spl52_178
<=> n24 = sum(n2,n22) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_178])]) ).
fof(f916,plain,
n24 = sum(n2,n22),
inference(cnf_transformation,[],[f5]) ).
fof(f1972,plain,
~ spl52_177,
inference(avatar_split_clause,[],[f1003,f1969]) ).
fof(f1969,plain,
( spl52_177
<=> n18 = n22 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_177])]) ).
fof(f1003,plain,
n18 != n22,
inference(cnf_transformation,[],[f5]) ).
fof(f1967,plain,
spl52_176,
inference(avatar_split_clause,[],[f952,f1964]) ).
fof(f1964,plain,
( spl52_176
<=> sum(sum(pred(sK8),succ(sK47)),sum(pred(sK47),succ(sK8))) = sK27 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_176])]) ).
fof(f952,plain,
sum(sum(pred(sK8),succ(sK47)),sum(pred(sK47),succ(sK8))) = sK27,
inference(cnf_transformation,[],[f5]) ).
fof(f1962,plain,
spl52_175,
inference(avatar_split_clause,[],[f378,f1959]) ).
fof(f1959,plain,
( spl52_175
<=> n4 = sum(n22,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_175])]) ).
fof(f378,plain,
n4 = sum(n22,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f1957,plain,
~ spl52_174,
inference(avatar_split_clause,[],[f905,f1954]) ).
fof(f1954,plain,
( spl52_174
<=> n8 = n11 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_174])]) ).
fof(f905,plain,
n8 != n11,
inference(cnf_transformation,[],[f5]) ).
fof(f1952,plain,
spl52_173,
inference(avatar_split_clause,[],[f151,f1949]) ).
fof(f1949,plain,
( spl52_173
<=> n25 = sum(n6,n19) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_173])]) ).
fof(f151,plain,
n25 = sum(n6,n19),
inference(cnf_transformation,[],[f5]) ).
fof(f1947,plain,
spl52_172,
inference(avatar_split_clause,[],[f648,f1944]) ).
fof(f1944,plain,
( spl52_172
<=> n14 = sum(n14,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_172])]) ).
fof(f648,plain,
n14 = sum(n14,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f1942,plain,
spl52_171,
inference(avatar_split_clause,[],[f401,f1939]) ).
fof(f1939,plain,
( spl52_171
<=> n21 = pred(n22) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_171])]) ).
fof(f401,plain,
n21 = pred(n22),
inference(cnf_transformation,[],[f5]) ).
fof(f1937,plain,
spl52_170,
inference(avatar_split_clause,[],[f37,f1934]) ).
fof(f1934,plain,
( spl52_170
<=> n17 = sum(n8,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_170])]) ).
fof(f37,plain,
n17 = sum(n8,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f1932,plain,
~ spl52_169,
inference(avatar_split_clause,[],[f241,f1929]) ).
fof(f1929,plain,
( spl52_169
<=> n20 = n23 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_169])]) ).
fof(f241,plain,
n20 != n23,
inference(cnf_transformation,[],[f5]) ).
fof(f1927,plain,
~ spl52_168,
inference(avatar_split_clause,[],[f688,f1924]) ).
fof(f1924,plain,
( spl52_168
<=> n3 = n9 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_168])]) ).
fof(f688,plain,
n3 != n9,
inference(cnf_transformation,[],[f5]) ).
fof(f1922,plain,
spl52_167,
inference(avatar_split_clause,[],[f766,f1919]) ).
fof(f1919,plain,
( spl52_167
<=> n5 = sum(n1,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_167])]) ).
fof(f766,plain,
n5 = sum(n1,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f1917,plain,
spl52_166,
inference(avatar_split_clause,[],[f714,f1914]) ).
fof(f1914,plain,
( spl52_166
<=> n23 = sum(n3,n20) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_166])]) ).
fof(f714,plain,
n23 = sum(n3,n20),
inference(cnf_transformation,[],[f5]) ).
fof(f1912,plain,
spl52_165,
inference(avatar_split_clause,[],[f459,f1909]) ).
fof(f1909,plain,
( spl52_165
<=> n6 = sum(n18,n14) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_165])]) ).
fof(f459,plain,
n6 = sum(n18,n14),
inference(cnf_transformation,[],[f5]) ).
fof(f1907,plain,
spl52_164,
inference(avatar_split_clause,[],[f903,f1904]) ).
fof(f1904,plain,
( spl52_164
<=> n5 = sum(n17,n14) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_164])]) ).
fof(f903,plain,
n5 = sum(n17,n14),
inference(cnf_transformation,[],[f5]) ).
fof(f1902,plain,
spl52_163,
inference(avatar_split_clause,[],[f290,f1899]) ).
fof(f1899,plain,
( spl52_163
<=> n1 = sum(n19,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_163])]) ).
fof(f290,plain,
n1 = sum(n19,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f1897,plain,
spl52_162,
inference(avatar_split_clause,[],[f587,f1894]) ).
fof(f1894,plain,
( spl52_162
<=> n11 = sum(n20,n17) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_162])]) ).
fof(f587,plain,
n11 = sum(n20,n17),
inference(cnf_transformation,[],[f5]) ).
fof(f1892,plain,
spl52_161,
inference(avatar_split_clause,[],[f649,f1889]) ).
fof(f1889,plain,
( spl52_161
<=> n6 = sum(n13,n19) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_161])]) ).
fof(f649,plain,
n6 = sum(n13,n19),
inference(cnf_transformation,[],[f5]) ).
fof(f1887,plain,
spl52_160,
inference(avatar_split_clause,[],[f299,f1884]) ).
fof(f1884,plain,
( spl52_160
<=> sK4 = sum(sum(pred(sK34),succ(sK7)),sum(pred(sK7),succ(sK34))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_160])]) ).
fof(f299,plain,
sK4 = sum(sum(pred(sK34),succ(sK7)),sum(pred(sK7),succ(sK34))),
inference(cnf_transformation,[],[f5]) ).
fof(f1882,plain,
spl52_159,
inference(avatar_split_clause,[],[f800,f1879]) ).
fof(f1879,plain,
( spl52_159
<=> n25 = sum(n7,n18) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_159])]) ).
fof(f800,plain,
n25 = sum(n7,n18),
inference(cnf_transformation,[],[f5]) ).
fof(f1877,plain,
spl52_158,
inference(avatar_split_clause,[],[f390,f1874]) ).
fof(f1874,plain,
( spl52_158
<=> n18 = sum(n24,n20) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_158])]) ).
fof(f390,plain,
n18 = sum(n24,n20),
inference(cnf_transformation,[],[f5]) ).
fof(f1872,plain,
( ~ spl52_133
| ~ spl52_134
| ~ spl52_135
| ~ spl52_136
| ~ spl52_137
| ~ spl52_138
| ~ spl52_139
| ~ spl52_140
| ~ spl52_141
| ~ spl52_142
| ~ spl52_143
| ~ spl52_144
| ~ spl52_145
| ~ spl52_146
| ~ spl52_147
| ~ spl52_148
| ~ spl52_149
| ~ spl52_150
| ~ spl52_151
| ~ spl52_152
| ~ spl52_153
| ~ spl52_154
| ~ spl52_155
| ~ spl52_156
| ~ spl52_157 ),
inference(avatar_split_clause,[],[f420,f1869,f1865,f1861,f1857,f1853,f1849,f1845,f1841,f1837,f1833,f1829,f1825,f1821,f1817,f1813,f1809,f1805,f1801,f1797,f1793,f1789,f1785,f1781,f1777,f1773]) ).
fof(f1773,plain,
( spl52_133
<=> sK22 = sK31 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_133])]) ).
fof(f1777,plain,
( spl52_134
<=> sK41 = sK49 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_134])]) ).
fof(f1781,plain,
( spl52_135
<=> sK18 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_135])]) ).
fof(f1785,plain,
( spl52_136
<=> sK24 = sK13 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_136])]) ).
fof(f1789,plain,
( spl52_137
<=> sK45 = sK35 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_137])]) ).
fof(f1793,plain,
( spl52_138
<=> sK3 = sK12 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_138])]) ).
fof(f1797,plain,
( spl52_139
<=> sK1 = sK21 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_139])]) ).
fof(f1801,plain,
( spl52_140
<=> sK25 = sK16 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_140])]) ).
fof(f1805,plain,
( spl52_141
<=> sK37 = sK26 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_141])]) ).
fof(f1809,plain,
( spl52_142
<=> sK51 = sK27 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_142])]) ).
fof(f1813,plain,
( spl52_143
<=> sK32 = sK36 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_143])]) ).
fof(f1817,plain,
( spl52_144
<=> sK28 = sK50 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_144])]) ).
fof(f1821,plain,
( spl52_145
<=> sK17 = sK6 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_145])]) ).
fof(f1825,plain,
( spl52_146
<=> sK8 = sK47 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_146])]) ).
fof(f1829,plain,
( spl52_147
<=> sK11 = sK39 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_147])]) ).
fof(f1833,plain,
( spl52_148
<=> sK40 = sK5 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_148])]) ).
fof(f1837,plain,
( spl52_149
<=> sK0 = sK46 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_149])]) ).
fof(f1841,plain,
( spl52_150
<=> sK42 = sK14 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_150])]) ).
fof(f1845,plain,
( spl52_151
<=> sK9 = sK15 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_151])]) ).
fof(f1849,plain,
( spl52_152
<=> sK20 = sK38 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_152])]) ).
fof(f1853,plain,
( spl52_153
<=> sK44 = sK33 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_153])]) ).
fof(f1857,plain,
( spl52_154
<=> sK19 = sK29 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_154])]) ).
fof(f1861,plain,
( spl52_155
<=> sK4 = sK43 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_155])]) ).
fof(f1865,plain,
( spl52_156
<=> sK48 = sK23 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_156])]) ).
fof(f1869,plain,
( spl52_157
<=> sK34 = sK7 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_157])]) ).
fof(f420,plain,
( sK34 != sK7
| sK48 != sK23
| sK4 != sK43
| sK19 != sK29
| sK44 != sK33
| sK20 != sK38
| sK9 != sK15
| sK42 != sK14
| sK0 != sK46
| sK40 != sK5
| sK11 != sK39
| sK8 != sK47
| sK17 != sK6
| sK28 != sK50
| sK32 != sK36
| sK51 != sK27
| sK37 != sK26
| sK25 != sK16
| sK1 != sK21
| sK3 != sK12
| sK45 != sK35
| sK24 != sK13
| sK18 != sK2
| sK41 != sK49
| sK22 != sK31 ),
inference(cnf_transformation,[],[f5]) ).
fof(f1771,plain,
~ spl52_132,
inference(avatar_split_clause,[],[f1053,f1768]) ).
fof(f1768,plain,
( spl52_132
<=> n1 = n13 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_132])]) ).
fof(f1053,plain,
n1 != n13,
inference(cnf_transformation,[],[f5]) ).
fof(f1766,plain,
spl52_131,
inference(avatar_split_clause,[],[f97,f1763]) ).
fof(f1763,plain,
( spl52_131
<=> n22 = sum(n14,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_131])]) ).
fof(f97,plain,
n22 = sum(n14,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f1761,plain,
~ spl52_130,
inference(avatar_split_clause,[],[f129,f1758]) ).
fof(f1758,plain,
( spl52_130
<=> n12 = n20 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_130])]) ).
fof(f129,plain,
n12 != n20,
inference(cnf_transformation,[],[f5]) ).
fof(f1756,plain,
spl52_129,
inference(avatar_split_clause,[],[f1101,f1753]) ).
fof(f1753,plain,
( spl52_129
<=> n6 = sum(n9,n23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_129])]) ).
fof(f1101,plain,
n6 = sum(n9,n23),
inference(cnf_transformation,[],[f5]) ).
fof(f1751,plain,
spl52_128,
inference(avatar_split_clause,[],[f24,f1748]) ).
fof(f1748,plain,
( spl52_128
<=> n10 = sum(n9,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_128])]) ).
fof(f24,plain,
n10 = sum(n9,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f1746,plain,
spl52_127,
inference(avatar_split_clause,[],[f483,f1743]) ).
fof(f1743,plain,
( spl52_127
<=> n4 = sum(n4,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_127])]) ).
fof(f483,plain,
n4 = sum(n4,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f1741,plain,
spl52_126,
inference(avatar_split_clause,[],[f87,f1738]) ).
fof(f1738,plain,
( spl52_126
<=> n14 = sum(n4,n10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_126])]) ).
fof(f87,plain,
n14 = sum(n4,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f1736,plain,
~ spl52_125,
inference(avatar_split_clause,[],[f402,f1733]) ).
fof(f1733,plain,
( spl52_125
<=> n10 = n12 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_125])]) ).
fof(f402,plain,
n10 != n12,
inference(cnf_transformation,[],[f5]) ).
fof(f1731,plain,
spl52_124,
inference(avatar_split_clause,[],[f92,f1728]) ).
fof(f1728,plain,
( spl52_124
<=> n16 = sum(n25,n17) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_124])]) ).
fof(f92,plain,
n16 = sum(n25,n17),
inference(cnf_transformation,[],[f5]) ).
fof(f1726,plain,
spl52_123,
inference(avatar_split_clause,[],[f313,f1723]) ).
fof(f1723,plain,
( spl52_123
<=> n21 = sum(n22,n25) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_123])]) ).
fof(f313,plain,
n21 = sum(n22,n25),
inference(cnf_transformation,[],[f5]) ).
fof(f1721,plain,
spl52_122,
inference(avatar_split_clause,[],[f260,f1718]) ).
fof(f1718,plain,
( spl52_122
<=> n8 = sum(n13,n21) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_122])]) ).
fof(f260,plain,
n8 = sum(n13,n21),
inference(cnf_transformation,[],[f5]) ).
fof(f1716,plain,
spl52_121,
inference(avatar_split_clause,[],[f49,f1713]) ).
fof(f1713,plain,
( spl52_121
<=> n16 = sum(n7,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_121])]) ).
fof(f49,plain,
n16 = sum(n7,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f1711,plain,
~ spl52_120,
inference(avatar_split_clause,[],[f676,f1708]) ).
fof(f1708,plain,
( spl52_120
<=> n6 = n24 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_120])]) ).
fof(f676,plain,
n6 != n24,
inference(cnf_transformation,[],[f5]) ).
fof(f1706,plain,
~ spl52_119,
inference(avatar_split_clause,[],[f158,f1703]) ).
fof(f1703,plain,
( spl52_119
<=> n17 = n24 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_119])]) ).
fof(f158,plain,
n17 != n24,
inference(cnf_transformation,[],[f5]) ).
fof(f1701,plain,
~ spl52_118,
inference(avatar_split_clause,[],[f602,f1698]) ).
fof(f1698,plain,
( spl52_118
<=> n4 = n9 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_118])]) ).
fof(f602,plain,
n4 != n9,
inference(cnf_transformation,[],[f5]) ).
fof(f1696,plain,
~ spl52_117,
inference(avatar_split_clause,[],[f1095,f1693]) ).
fof(f1693,plain,
( spl52_117
<=> n9 = n22 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_117])]) ).
fof(f1095,plain,
n9 != n22,
inference(cnf_transformation,[],[f5]) ).
fof(f1691,plain,
~ spl52_116,
inference(avatar_split_clause,[],[f1005,f1688]) ).
fof(f1688,plain,
( spl52_116
<=> n5 = n17 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_116])]) ).
fof(f1005,plain,
n5 != n17,
inference(cnf_transformation,[],[f5]) ).
fof(f1686,plain,
~ spl52_115,
inference(avatar_split_clause,[],[f572,f1683]) ).
fof(f1683,plain,
( spl52_115
<=> n18 = n23 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_115])]) ).
fof(f572,plain,
n18 != n23,
inference(cnf_transformation,[],[f5]) ).
fof(f1681,plain,
spl52_114,
inference(avatar_split_clause,[],[f913,f1678]) ).
fof(f1678,plain,
( spl52_114
<=> n17 = sum(n2,n15) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_114])]) ).
fof(f913,plain,
n17 = sum(n2,n15),
inference(cnf_transformation,[],[f5]) ).
fof(f1676,plain,
spl52_113,
inference(avatar_split_clause,[],[f856,f1673]) ).
fof(f1673,plain,
( spl52_113
<=> sum(sum(pred(sK25),succ(sK16)),sum(pred(sK16),succ(sK25))) = sK21 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_113])]) ).
fof(f856,plain,
sum(sum(pred(sK25),succ(sK16)),sum(pred(sK16),succ(sK25))) = sK21,
inference(cnf_transformation,[],[f5]) ).
fof(f1671,plain,
~ spl52_112,
inference(avatar_split_clause,[],[f571,f1668]) ).
fof(f1668,plain,
( spl52_112
<=> n5 = n20 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_112])]) ).
fof(f571,plain,
n5 != n20,
inference(cnf_transformation,[],[f5]) ).
fof(f1666,plain,
~ spl52_111,
inference(avatar_split_clause,[],[f836,f1663]) ).
fof(f1663,plain,
( spl52_111
<=> n16 = n24 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_111])]) ).
fof(f836,plain,
n16 != n24,
inference(cnf_transformation,[],[f5]) ).
fof(f1661,plain,
spl52_110,
inference(avatar_split_clause,[],[f1051,f1658]) ).
fof(f1658,plain,
( spl52_110
<=> succ(n6) = n7 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_110])]) ).
fof(f1051,plain,
succ(n6) = n7,
inference(cnf_transformation,[],[f5]) ).
fof(f1656,plain,
~ spl52_109,
inference(avatar_split_clause,[],[f990,f1653]) ).
fof(f1653,plain,
( spl52_109
<=> n7 = n23 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_109])]) ).
fof(f990,plain,
n7 != n23,
inference(cnf_transformation,[],[f5]) ).
fof(f1651,plain,
~ spl52_108,
inference(avatar_split_clause,[],[f775,f1648]) ).
fof(f1648,plain,
( spl52_108
<=> n10 = n13 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_108])]) ).
fof(f775,plain,
n10 != n13,
inference(cnf_transformation,[],[f5]) ).
fof(f1646,plain,
spl52_107,
inference(avatar_split_clause,[],[f412,f1643]) ).
fof(f1643,plain,
( spl52_107
<=> sK33 = sum(sum(pred(sK12),succ(sK12)),sum(pred(sK3),succ(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_107])]) ).
fof(f412,plain,
sK33 = sum(sum(pred(sK12),succ(sK12)),sum(pred(sK3),succ(sK3))),
inference(cnf_transformation,[],[f5]) ).
fof(f1641,plain,
spl52_106,
inference(avatar_split_clause,[],[f858,f1638]) ).
fof(f1638,plain,
( spl52_106
<=> n9 = sum(n0,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_106])]) ).
fof(f858,plain,
n9 = sum(n0,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f1636,plain,
~ spl52_105,
inference(avatar_split_clause,[],[f653,f1633]) ).
fof(f1633,plain,
( spl52_105
<=> n13 = n19 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_105])]) ).
fof(f653,plain,
n13 != n19,
inference(cnf_transformation,[],[f5]) ).
fof(f1631,plain,
~ spl52_104,
inference(avatar_split_clause,[],[f246,f1628]) ).
fof(f1628,plain,
( spl52_104
<=> n1 = n21 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_104])]) ).
fof(f246,plain,
n1 != n21,
inference(cnf_transformation,[],[f5]) ).
fof(f1626,plain,
spl52_103,
inference(avatar_split_clause,[],[f525,f1623]) ).
fof(f1623,plain,
( spl52_103
<=> n7 = sum(n21,n12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_103])]) ).
fof(f525,plain,
n7 = sum(n21,n12),
inference(cnf_transformation,[],[f5]) ).
fof(f1621,plain,
spl52_102,
inference(avatar_split_clause,[],[f635,f1618]) ).
fof(f1618,plain,
( spl52_102
<=> n0 = sum(n9,n17) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_102])]) ).
fof(f635,plain,
n0 = sum(n9,n17),
inference(cnf_transformation,[],[f5]) ).
fof(f1616,plain,
spl52_101,
inference(avatar_split_clause,[],[f672,f1613]) ).
fof(f1613,plain,
( spl52_101
<=> n8 = sum(n19,n15) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_101])]) ).
fof(f672,plain,
n8 = sum(n19,n15),
inference(cnf_transformation,[],[f5]) ).
fof(f1611,plain,
spl52_100,
inference(avatar_split_clause,[],[f643,f1608]) ).
fof(f1608,plain,
( spl52_100
<=> n9 = sum(n25,n10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_100])]) ).
fof(f643,plain,
n9 = sum(n25,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f1606,plain,
~ spl52_99,
inference(avatar_split_clause,[],[f277,f1603]) ).
fof(f1603,plain,
( spl52_99
<=> n14 = n15 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_99])]) ).
fof(f277,plain,
n14 != n15,
inference(cnf_transformation,[],[f5]) ).
fof(f1601,plain,
spl52_98,
inference(avatar_split_clause,[],[f884,f1598]) ).
fof(f1598,plain,
( spl52_98
<=> n6 = pred(n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_98])]) ).
fof(f884,plain,
n6 = pred(n7),
inference(cnf_transformation,[],[f5]) ).
fof(f1596,plain,
spl52_97,
inference(avatar_split_clause,[],[f119,f1593]) ).
fof(f1593,plain,
( spl52_97
<=> n3 = sum(n7,n22) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_97])]) ).
fof(f119,plain,
n3 = sum(n7,n22),
inference(cnf_transformation,[],[f5]) ).
fof(f1591,plain,
~ spl52_96,
inference(avatar_split_clause,[],[f625,f1588]) ).
fof(f1588,plain,
( spl52_96
<=> n3 = n4 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_96])]) ).
fof(f625,plain,
n3 != n4,
inference(cnf_transformation,[],[f5]) ).
fof(f1586,plain,
spl52_95,
inference(avatar_split_clause,[],[f25,f1583]) ).
fof(f1583,plain,
( spl52_95
<=> n18 = sum(n4,n14) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_95])]) ).
fof(f25,plain,
n18 = sum(n4,n14),
inference(cnf_transformation,[],[f5]) ).
fof(f1581,plain,
~ spl52_94,
inference(avatar_split_clause,[],[f318,f1578]) ).
fof(f1578,plain,
( spl52_94
<=> n2 = n12 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_94])]) ).
fof(f318,plain,
n2 != n12,
inference(cnf_transformation,[],[f5]) ).
fof(f1576,plain,
spl52_93,
inference(avatar_split_clause,[],[f475,f1573]) ).
fof(f1573,plain,
( spl52_93
<=> n13 = sum(n17,n22) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_93])]) ).
fof(f475,plain,
n13 = sum(n17,n22),
inference(cnf_transformation,[],[f5]) ).
fof(f1571,plain,
spl52_92,
inference(avatar_split_clause,[],[f407,f1568]) ).
fof(f1568,plain,
( spl52_92
<=> n6 = sum(n2,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_92])]) ).
fof(f407,plain,
n6 = sum(n2,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f1566,plain,
spl52_91,
inference(avatar_split_clause,[],[f968,f1563]) ).
fof(f1563,plain,
( spl52_91
<=> n13 = sum(n3,n10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_91])]) ).
fof(f968,plain,
n13 = sum(n3,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f1561,plain,
spl52_90,
inference(avatar_split_clause,[],[f1010,f1558]) ).
fof(f1558,plain,
( spl52_90
<=> n3 = sum(n10,n19) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_90])]) ).
fof(f1010,plain,
n3 = sum(n10,n19),
inference(cnf_transformation,[],[f5]) ).
fof(f1556,plain,
~ spl52_89,
inference(avatar_split_clause,[],[f1066,f1553]) ).
fof(f1553,plain,
( spl52_89
<=> n0 = n5 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_89])]) ).
fof(f1066,plain,
n0 != n5,
inference(cnf_transformation,[],[f5]) ).
fof(f1551,plain,
spl52_88,
inference(avatar_split_clause,[],[f1106,f1548]) ).
fof(f1548,plain,
( spl52_88
<=> n18 = sum(n18,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_88])]) ).
fof(f1106,plain,
n18 = sum(n18,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f1546,plain,
spl52_87,
inference(avatar_split_clause,[],[f1089,f1543]) ).
fof(f1543,plain,
( spl52_87
<=> n8 = sum(n17,n17) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_87])]) ).
fof(f1089,plain,
n8 = sum(n17,n17),
inference(cnf_transformation,[],[f5]) ).
fof(f1541,plain,
spl52_86,
inference(avatar_split_clause,[],[f173,f1538]) ).
fof(f1538,plain,
( spl52_86
<=> n21 = sum(n14,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_86])]) ).
fof(f173,plain,
n21 = sum(n14,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f1536,plain,
spl52_85,
inference(avatar_split_clause,[],[f897,f1533]) ).
fof(f1533,plain,
( spl52_85
<=> n25 = sum(n21,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_85])]) ).
fof(f897,plain,
n25 = sum(n21,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f1531,plain,
spl52_84,
inference(avatar_split_clause,[],[f1021,f1528]) ).
fof(f1528,plain,
( spl52_84
<=> n0 = sum(n22,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_84])]) ).
fof(f1021,plain,
n0 = sum(n22,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f1526,plain,
spl52_83,
inference(avatar_split_clause,[],[f619,f1523]) ).
fof(f1523,plain,
( spl52_83
<=> n3 = sum(n22,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_83])]) ).
fof(f619,plain,
n3 = sum(n22,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f1521,plain,
~ spl52_82,
inference(avatar_split_clause,[],[f545,f1518]) ).
fof(f1518,plain,
( spl52_82
<=> n3 = n19 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_82])]) ).
fof(f545,plain,
n3 != n19,
inference(cnf_transformation,[],[f5]) ).
fof(f1516,plain,
~ spl52_81,
inference(avatar_split_clause,[],[f562,f1513]) ).
fof(f1513,plain,
( spl52_81
<=> n10 = n11 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_81])]) ).
fof(f562,plain,
n10 != n11,
inference(cnf_transformation,[],[f5]) ).
fof(f1511,plain,
spl52_80,
inference(avatar_split_clause,[],[f768,f1508]) ).
fof(f1508,plain,
( spl52_80
<=> n13 = sum(n6,n7) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_80])]) ).
fof(f768,plain,
n13 = sum(n6,n7),
inference(cnf_transformation,[],[f5]) ).
fof(f1506,plain,
spl52_79,
inference(avatar_split_clause,[],[f208,f1503]) ).
fof(f1503,plain,
( spl52_79
<=> n13 = sum(n11,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_79])]) ).
fof(f208,plain,
n13 = sum(n11,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f1501,plain,
spl52_78,
inference(avatar_split_clause,[],[f851,f1498]) ).
fof(f1498,plain,
( spl52_78
<=> n1 = sum(n15,n12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_78])]) ).
fof(f851,plain,
n1 = sum(n15,n12),
inference(cnf_transformation,[],[f5]) ).
fof(f1496,plain,
~ spl52_77,
inference(avatar_split_clause,[],[f703,f1493]) ).
fof(f1493,plain,
( spl52_77
<=> n1 = n8 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_77])]) ).
fof(f703,plain,
n1 != n8,
inference(cnf_transformation,[],[f5]) ).
fof(f1491,plain,
spl52_76,
inference(avatar_split_clause,[],[f413,f1488]) ).
fof(f1488,plain,
( spl52_76
<=> n8 = sum(n6,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_76])]) ).
fof(f413,plain,
n8 = sum(n6,n2),
inference(cnf_transformation,[],[f5]) ).
fof(f1486,plain,
~ spl52_75,
inference(avatar_split_clause,[],[f379,f1483]) ).
fof(f1483,plain,
( spl52_75
<=> n1 = n22 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_75])]) ).
fof(f379,plain,
n1 != n22,
inference(cnf_transformation,[],[f5]) ).
fof(f1481,plain,
spl52_74,
inference(avatar_split_clause,[],[f1030,f1478]) ).
fof(f1478,plain,
( spl52_74
<=> n6 = sum(n10,n22) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_74])]) ).
fof(f1030,plain,
n6 = sum(n10,n22),
inference(cnf_transformation,[],[f5]) ).
fof(f1476,plain,
spl52_73,
inference(avatar_split_clause,[],[f555,f1473]) ).
fof(f1473,plain,
( spl52_73
<=> n13 = sum(n16,n23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_73])]) ).
fof(f555,plain,
n13 = sum(n16,n23),
inference(cnf_transformation,[],[f5]) ).
fof(f1471,plain,
~ spl52_72,
inference(avatar_split_clause,[],[f374,f1468]) ).
fof(f1468,plain,
( spl52_72
<=> n2 = n24 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_72])]) ).
fof(f374,plain,
n2 != n24,
inference(cnf_transformation,[],[f5]) ).
fof(f1466,plain,
spl52_71,
inference(avatar_split_clause,[],[f573,f1463]) ).
fof(f1463,plain,
( spl52_71
<=> n3 = sum(n19,n10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_71])]) ).
fof(f573,plain,
n3 = sum(n19,n10),
inference(cnf_transformation,[],[f5]) ).
fof(f1461,plain,
~ spl52_70,
inference(avatar_split_clause,[],[f419,f1458]) ).
fof(f1458,plain,
( spl52_70
<=> n4 = n7 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_70])]) ).
fof(f419,plain,
n4 != n7,
inference(cnf_transformation,[],[f5]) ).
fof(f1456,plain,
spl52_69,
inference(avatar_split_clause,[],[f605,f1453]) ).
fof(f1453,plain,
( spl52_69
<=> n20 = sum(n11,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_69])]) ).
fof(f605,plain,
n20 = sum(n11,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f1451,plain,
spl52_68,
inference(avatar_split_clause,[],[f709,f1448]) ).
fof(f1448,plain,
( spl52_68
<=> n24 = sum(n1,n23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_68])]) ).
fof(f709,plain,
n24 = sum(n1,n23),
inference(cnf_transformation,[],[f5]) ).
fof(f1446,plain,
spl52_67,
inference(avatar_split_clause,[],[f336,f1443]) ).
fof(f1443,plain,
( spl52_67
<=> succ(n20) = n21 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_67])]) ).
fof(f336,plain,
succ(n20) = n21,
inference(cnf_transformation,[],[f5]) ).
fof(f1441,plain,
~ spl52_66,
inference(avatar_split_clause,[],[f1107,f1438]) ).
fof(f1438,plain,
( spl52_66
<=> n8 = n24 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_66])]) ).
fof(f1107,plain,
n8 != n24,
inference(cnf_transformation,[],[f5]) ).
fof(f1436,plain,
spl52_65,
inference(avatar_split_clause,[],[f205,f1433]) ).
fof(f1433,plain,
( spl52_65
<=> n4 = sum(n18,n12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_65])]) ).
fof(f205,plain,
n4 = sum(n18,n12),
inference(cnf_transformation,[],[f5]) ).
fof(f1431,plain,
~ spl52_64,
inference(avatar_split_clause,[],[f1099,f1428]) ).
fof(f1428,plain,
( spl52_64
<=> n7 = n13 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_64])]) ).
fof(f1099,plain,
n7 != n13,
inference(cnf_transformation,[],[f5]) ).
fof(f1426,plain,
~ spl52_63,
inference(avatar_split_clause,[],[f409,f1423]) ).
fof(f1423,plain,
( spl52_63
<=> n2 = n6 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_63])]) ).
fof(f409,plain,
n2 != n6,
inference(cnf_transformation,[],[f5]) ).
fof(f1421,plain,
spl52_62,
inference(avatar_split_clause,[],[f471,f1418]) ).
fof(f1418,plain,
( spl52_62
<=> n0 = sum(n10,n16) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_62])]) ).
fof(f471,plain,
n0 = sum(n10,n16),
inference(cnf_transformation,[],[f5]) ).
fof(f1416,plain,
~ spl52_61,
inference(avatar_split_clause,[],[f1031,f1413]) ).
fof(f1413,plain,
( spl52_61
<=> n12 = n16 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_61])]) ).
fof(f1031,plain,
n12 != n16,
inference(cnf_transformation,[],[f5]) ).
fof(f1411,plain,
spl52_60,
inference(avatar_split_clause,[],[f1015,f1408]) ).
fof(f1408,plain,
( spl52_60
<=> n16 = sum(n18,n24) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_60])]) ).
fof(f1015,plain,
n16 = sum(n18,n24),
inference(cnf_transformation,[],[f5]) ).
fof(f1406,plain,
spl52_59,
inference(avatar_split_clause,[],[f831,f1403]) ).
fof(f1403,plain,
( spl52_59
<=> n10 = sum(n13,n23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_59])]) ).
fof(f831,plain,
n10 = sum(n13,n23),
inference(cnf_transformation,[],[f5]) ).
fof(f1401,plain,
spl52_58,
inference(avatar_split_clause,[],[f936,f1398]) ).
fof(f1398,plain,
( spl52_58
<=> succ(n15) = n16 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_58])]) ).
fof(f936,plain,
succ(n15) = n16,
inference(cnf_transformation,[],[f5]) ).
fof(f1396,plain,
~ spl52_57,
inference(avatar_split_clause,[],[f906,f1393]) ).
fof(f1393,plain,
( spl52_57
<=> n1 = n24 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_57])]) ).
fof(f906,plain,
n1 != n24,
inference(cnf_transformation,[],[f5]) ).
fof(f1391,plain,
spl52_56,
inference(avatar_split_clause,[],[f262,f1388]) ).
fof(f1388,plain,
( spl52_56
<=> n2 = sum(n20,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_56])]) ).
fof(f262,plain,
n2 = sum(n20,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f1386,plain,
~ spl52_55,
inference(avatar_split_clause,[],[f536,f1383]) ).
fof(f1383,plain,
( spl52_55
<=> n22 = n24 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_55])]) ).
fof(f536,plain,
n22 != n24,
inference(cnf_transformation,[],[f5]) ).
fof(f1381,plain,
spl52_54,
inference(avatar_split_clause,[],[f1055,f1378]) ).
fof(f1378,plain,
( spl52_54
<=> n0 = sum(n25,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_54])]) ).
fof(f1055,plain,
n0 = sum(n25,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f1376,plain,
spl52_53,
inference(avatar_split_clause,[],[f663,f1373]) ).
fof(f1373,plain,
( spl52_53
<=> n1 = sum(n1,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_53])]) ).
fof(f663,plain,
n1 = sum(n1,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f1371,plain,
~ spl52_52,
inference(avatar_split_clause,[],[f6,f1368]) ).
fof(f1368,plain,
( spl52_52
<=> n0 = n24 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_52])]) ).
fof(f6,plain,
n0 != n24,
inference(cnf_transformation,[],[f5]) ).
fof(f1366,plain,
spl52_51,
inference(avatar_split_clause,[],[f175,f1363]) ).
fof(f1363,plain,
( spl52_51
<=> n4 = sum(n5,n25) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_51])]) ).
fof(f175,plain,
n4 = sum(n5,n25),
inference(cnf_transformation,[],[f5]) ).
fof(f1361,plain,
spl52_50,
inference(avatar_split_clause,[],[f295,f1358]) ).
fof(f1358,plain,
( spl52_50
<=> n21 = sum(n21,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_50])]) ).
fof(f295,plain,
n21 = sum(n21,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f1356,plain,
~ spl52_49,
inference(avatar_split_clause,[],[f504,f1353]) ).
fof(f1353,plain,
( spl52_49
<=> n3 = n23 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_49])]) ).
fof(f504,plain,
n3 != n23,
inference(cnf_transformation,[],[f5]) ).
fof(f1351,plain,
spl52_48,
inference(avatar_split_clause,[],[f136,f1348]) ).
fof(f1348,plain,
( spl52_48
<=> n12 = sum(n21,n17) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_48])]) ).
fof(f136,plain,
n12 = sum(n21,n17),
inference(cnf_transformation,[],[f5]) ).
fof(f1346,plain,
spl52_47,
inference(avatar_split_clause,[],[f281,f1343]) ).
fof(f1343,plain,
( spl52_47
<=> n2 = sum(n22,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_47])]) ).
fof(f281,plain,
n2 = sum(n22,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f1341,plain,
spl52_46,
inference(avatar_split_clause,[],[f60,f1338]) ).
fof(f1338,plain,
( spl52_46
<=> n7 = sum(n11,n22) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_46])]) ).
fof(f60,plain,
n7 = sum(n11,n22),
inference(cnf_transformation,[],[f5]) ).
fof(f1336,plain,
~ spl52_45,
inference(avatar_split_clause,[],[f267,f1333]) ).
fof(f1333,plain,
( spl52_45
<=> n0 = n4 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_45])]) ).
fof(f267,plain,
n0 != n4,
inference(cnf_transformation,[],[f5]) ).
fof(f1331,plain,
spl52_44,
inference(avatar_split_clause,[],[f226,f1328]) ).
fof(f1328,plain,
( spl52_44
<=> n7 = sum(n14,n19) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_44])]) ).
fof(f226,plain,
n7 = sum(n14,n19),
inference(cnf_transformation,[],[f5]) ).
fof(f1326,plain,
~ spl52_43,
inference(avatar_split_clause,[],[f616,f1323]) ).
fof(f1323,plain,
( spl52_43
<=> n13 = n15 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_43])]) ).
fof(f616,plain,
n13 != n15,
inference(cnf_transformation,[],[f5]) ).
fof(f1321,plain,
spl52_42,
inference(avatar_split_clause,[],[f809,f1318]) ).
fof(f1318,plain,
( spl52_42
<=> sum(sum(pred(sK38),succ(sK20)),sum(pred(sK20),succ(sK38))) = sK23 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_42])]) ).
fof(f809,plain,
sum(sum(pred(sK38),succ(sK20)),sum(pred(sK20),succ(sK38))) = sK23,
inference(cnf_transformation,[],[f5]) ).
fof(f1316,plain,
spl52_41,
inference(avatar_split_clause,[],[f891,f1313]) ).
fof(f1313,plain,
( spl52_41
<=> n12 = sum(n20,n18) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_41])]) ).
fof(f891,plain,
n12 = sum(n20,n18),
inference(cnf_transformation,[],[f5]) ).
fof(f1311,plain,
spl52_40,
inference(avatar_split_clause,[],[f306,f1308]) ).
fof(f1308,plain,
( spl52_40
<=> n0 = sum(n13,n13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_40])]) ).
fof(f306,plain,
n0 = sum(n13,n13),
inference(cnf_transformation,[],[f5]) ).
fof(f1306,plain,
~ spl52_39,
inference(avatar_split_clause,[],[f799,f1303]) ).
fof(f1303,plain,
( spl52_39
<=> n0 = n22 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_39])]) ).
fof(f799,plain,
n0 != n22,
inference(cnf_transformation,[],[f5]) ).
fof(f1301,plain,
spl52_38,
inference(avatar_split_clause,[],[f678,f1298]) ).
fof(f1298,plain,
( spl52_38
<=> n14 = sum(n10,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_38])]) ).
fof(f678,plain,
n14 = sum(n10,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f1296,plain,
spl52_37,
inference(avatar_split_clause,[],[f477,f1293]) ).
fof(f1293,plain,
( spl52_37
<=> n25 = sum(n20,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_37])]) ).
fof(f477,plain,
n25 = sum(n20,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f1291,plain,
~ spl52_36,
inference(avatar_split_clause,[],[f954,f1288]) ).
fof(f1288,plain,
( spl52_36
<=> n9 = n23 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_36])]) ).
fof(f954,plain,
n9 != n23,
inference(cnf_transformation,[],[f5]) ).
fof(f1286,plain,
spl52_35,
inference(avatar_split_clause,[],[f627,f1283]) ).
fof(f1283,plain,
( spl52_35
<=> n7 = sum(n8,n25) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_35])]) ).
fof(f627,plain,
n7 = sum(n8,n25),
inference(cnf_transformation,[],[f5]) ).
fof(f1281,plain,
~ spl52_34,
inference(avatar_split_clause,[],[f751,f1278]) ).
fof(f1278,plain,
( spl52_34
<=> n4 = n12 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_34])]) ).
fof(f751,plain,
n4 != n12,
inference(cnf_transformation,[],[f5]) ).
fof(f1276,plain,
~ spl52_33,
inference(avatar_split_clause,[],[f948,f1273]) ).
fof(f1273,plain,
( spl52_33
<=> n9 = n11 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_33])]) ).
fof(f948,plain,
n9 != n11,
inference(cnf_transformation,[],[f5]) ).
fof(f1271,plain,
spl52_32,
inference(avatar_split_clause,[],[f22,f1268]) ).
fof(f1268,plain,
( spl52_32
<=> n20 = sum(n20,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_32])]) ).
fof(f22,plain,
n20 = sum(n20,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f1266,plain,
spl52_31,
inference(avatar_split_clause,[],[f282,f1263]) ).
fof(f1263,plain,
( spl52_31
<=> n15 = pred(n16) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_31])]) ).
fof(f282,plain,
n15 = pred(n16),
inference(cnf_transformation,[],[f5]) ).
fof(f1261,plain,
spl52_30,
inference(avatar_split_clause,[],[f23,f1258]) ).
fof(f1258,plain,
( spl52_30
<=> n13 = sum(n7,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_30])]) ).
fof(f23,plain,
n13 = sum(n7,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f1256,plain,
spl52_29,
inference(avatar_split_clause,[],[f689,f1253]) ).
fof(f1253,plain,
( spl52_29
<=> n13 = sum(n4,n9) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_29])]) ).
fof(f689,plain,
n13 = sum(n4,n9),
inference(cnf_transformation,[],[f5]) ).
fof(f1251,plain,
spl52_28,
inference(avatar_split_clause,[],[f997,f1248]) ).
fof(f1248,plain,
( spl52_28
<=> succ(n8) = n9 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_28])]) ).
fof(f997,plain,
succ(n8) = n9,
inference(cnf_transformation,[],[f5]) ).
fof(f1246,plain,
~ spl52_27,
inference(avatar_split_clause,[],[f610,f1243]) ).
fof(f1243,plain,
( spl52_27
<=> n12 = n17 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_27])]) ).
fof(f610,plain,
n12 != n17,
inference(cnf_transformation,[],[f5]) ).
fof(f1241,plain,
spl52_26,
inference(avatar_split_clause,[],[f387,f1238]) ).
fof(f1238,plain,
( spl52_26
<=> n17 = sum(n21,n22) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_26])]) ).
fof(f387,plain,
n17 = sum(n21,n22),
inference(cnf_transformation,[],[f5]) ).
fof(f1236,plain,
spl52_25,
inference(avatar_split_clause,[],[f125,f1233]) ).
fof(f1233,plain,
( spl52_25
<=> n6 = sum(n19,n13) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_25])]) ).
fof(f125,plain,
n6 = sum(n19,n13),
inference(cnf_transformation,[],[f5]) ).
fof(f1231,plain,
spl52_24,
inference(avatar_split_clause,[],[f578,f1228]) ).
fof(f1228,plain,
( spl52_24
<=> n25 = sum(n25,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_24])]) ).
fof(f578,plain,
n25 = sum(n25,n0),
inference(cnf_transformation,[],[f5]) ).
fof(f1226,plain,
spl52_23,
inference(avatar_split_clause,[],[f875,f1223]) ).
fof(f1223,plain,
( spl52_23
<=> n5 = sum(n4,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_23])]) ).
fof(f875,plain,
n5 = sum(n4,n1),
inference(cnf_transformation,[],[f5]) ).
fof(f1221,plain,
spl52_22,
inference(avatar_split_clause,[],[f999,f1218]) ).
fof(f1218,plain,
( spl52_22
<=> n3 = sum(n24,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_22])]) ).
fof(f999,plain,
n3 = sum(n24,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f1216,plain,
spl52_21,
inference(avatar_split_clause,[],[f720,f1213]) ).
fof(f1213,plain,
( spl52_21
<=> n12 = sum(n14,n24) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_21])]) ).
fof(f720,plain,
n12 = sum(n14,n24),
inference(cnf_transformation,[],[f5]) ).
fof(f1211,plain,
spl52_20,
inference(avatar_split_clause,[],[f777,f1208]) ).
fof(f1208,plain,
( spl52_20
<=> n6 = sum(n1,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_20])]) ).
fof(f777,plain,
n6 = sum(n1,n5),
inference(cnf_transformation,[],[f5]) ).
fof(f1206,plain,
spl52_19,
inference(avatar_split_clause,[],[f217,f1203]) ).
fof(f1203,plain,
( spl52_19
<=> n11 = sum(n7,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_19])]) ).
fof(f217,plain,
n11 = sum(n7,n4),
inference(cnf_transformation,[],[f5]) ).
fof(f1201,plain,
~ spl52_18,
inference(avatar_split_clause,[],[f1093,f1198]) ).
fof(f1198,plain,
( spl52_18
<=> n7 = n12 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_18])]) ).
fof(f1093,plain,
n7 != n12,
inference(cnf_transformation,[],[f5]) ).
fof(f1196,plain,
spl52_17,
inference(avatar_split_clause,[],[f442,f1193]) ).
fof(f1193,plain,
( spl52_17
<=> n20 = sum(n8,n12) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_17])]) ).
fof(f442,plain,
n20 = sum(n8,n12),
inference(cnf_transformation,[],[f5]) ).
fof(f1191,plain,
spl52_16,
inference(avatar_split_clause,[],[f189,f1188]) ).
fof(f1188,plain,
( spl52_16
<=> sum(sum(pred(sK50),succ(sK28)),sum(pred(sK28),succ(sK50))) = sK13 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_16])]) ).
fof(f189,plain,
sum(sum(pred(sK50),succ(sK28)),sum(pred(sK28),succ(sK50))) = sK13,
inference(cnf_transformation,[],[f5]) ).
fof(f1186,plain,
spl52_15,
inference(avatar_split_clause,[],[f896,f1183]) ).
fof(f1183,plain,
( spl52_15
<=> n2 = sum(n17,n11) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_15])]) ).
fof(f896,plain,
n2 = sum(n17,n11),
inference(cnf_transformation,[],[f5]) ).
fof(f1181,plain,
spl52_14,
inference(avatar_split_clause,[],[f711,f1178]) ).
fof(f1178,plain,
( spl52_14
<=> n20 = sum(n14,n6) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_14])]) ).
fof(f711,plain,
n20 = sum(n14,n6),
inference(cnf_transformation,[],[f5]) ).
fof(f1176,plain,
~ spl52_13,
inference(avatar_split_clause,[],[f439,f1173]) ).
fof(f1173,plain,
( spl52_13
<=> n11 = n24 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_13])]) ).
fof(f439,plain,
n11 != n24,
inference(cnf_transformation,[],[f5]) ).
fof(f1171,plain,
~ spl52_12,
inference(avatar_split_clause,[],[f823,f1168]) ).
fof(f1168,plain,
( spl52_12
<=> n3 = n15 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_12])]) ).
fof(f823,plain,
n3 != n15,
inference(cnf_transformation,[],[f5]) ).
fof(f1166,plain,
spl52_11,
inference(avatar_split_clause,[],[f380,f1163]) ).
fof(f1163,plain,
( spl52_11
<=> succ(n3) = n4 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_11])]) ).
fof(f380,plain,
succ(n3) = n4,
inference(cnf_transformation,[],[f5]) ).
fof(f1161,plain,
~ spl52_10,
inference(avatar_split_clause,[],[f517,f1158]) ).
fof(f1158,plain,
( spl52_10
<=> n19 = n23 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_10])]) ).
fof(f517,plain,
n19 != n23,
inference(cnf_transformation,[],[f5]) ).
fof(f1156,plain,
~ spl52_9,
inference(avatar_split_clause,[],[f770,f1153]) ).
fof(f1153,plain,
( spl52_9
<=> n6 = n19 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_9])]) ).
fof(f770,plain,
n6 != n19,
inference(cnf_transformation,[],[f5]) ).
fof(f1151,plain,
spl52_8,
inference(avatar_split_clause,[],[f962,f1148]) ).
fof(f1148,plain,
( spl52_8
<=> n23 = sum(n20,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_8])]) ).
fof(f962,plain,
n23 = sum(n20,n3),
inference(cnf_transformation,[],[f5]) ).
fof(f1146,plain,
~ spl52_7,
inference(avatar_split_clause,[],[f761,f1143]) ).
fof(f1143,plain,
( spl52_7
<=> n9 = n10 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_7])]) ).
fof(f761,plain,
n9 != n10,
inference(cnf_transformation,[],[f5]) ).
fof(f1141,plain,
~ spl52_6,
inference(avatar_split_clause,[],[f372,f1138]) ).
fof(f1138,plain,
( spl52_6
<=> n11 = n17 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_6])]) ).
fof(f372,plain,
n11 != n17,
inference(cnf_transformation,[],[f5]) ).
fof(f1136,plain,
~ spl52_5,
inference(avatar_split_clause,[],[f718,f1133]) ).
fof(f1133,plain,
( spl52_5
<=> n0 = n23 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_5])]) ).
fof(f718,plain,
n0 != n23,
inference(cnf_transformation,[],[f5]) ).
fof(f1131,plain,
~ spl52_4,
inference(avatar_split_clause,[],[f279,f1128]) ).
fof(f1128,plain,
( spl52_4
<=> n4 = n8 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_4])]) ).
fof(f279,plain,
n4 != n8,
inference(cnf_transformation,[],[f5]) ).
fof(f1126,plain,
~ spl52_3,
inference(avatar_split_clause,[],[f603,f1123]) ).
fof(f1123,plain,
( spl52_3
<=> n18 = n19 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_3])]) ).
fof(f603,plain,
n18 != n19,
inference(cnf_transformation,[],[f5]) ).
fof(f1121,plain,
spl52_2,
inference(avatar_split_clause,[],[f874,f1118]) ).
fof(f1118,plain,
( spl52_2
<=> n10 = sum(n2,n8) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_2])]) ).
fof(f874,plain,
n10 = sum(n2,n8),
inference(cnf_transformation,[],[f5]) ).
fof(f1116,plain,
~ spl52_1,
inference(avatar_split_clause,[],[f591,f1113]) ).
fof(f1113,plain,
( spl52_1
<=> n10 = n16 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1])]) ).
fof(f591,plain,
n10 != n16,
inference(cnf_transformation,[],[f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM377+1.025 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 06:36:33 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.55 % (31162)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.21/0.56 % (31145)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.26/0.57 % (31145)Instruction limit reached!
% 1.26/0.57 % (31145)------------------------------
% 1.26/0.57 % (31145)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.26/0.57 % (31145)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.26/0.57 % (31145)Termination reason: Unknown
% 1.26/0.57 % (31145)Termination phase: Preprocessing 3
% 1.26/0.57
% 1.26/0.57 % (31145)Memory used [KB]: 1663
% 1.26/0.57 % (31145)Time elapsed: 0.009 s
% 1.26/0.57 % (31145)Instructions burned: 9 (million)
% 1.26/0.57 % (31145)------------------------------
% 1.26/0.57 % (31145)------------------------------
% 1.26/0.57 % (31154)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.26/0.58 % (31139)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.26/0.58 % (31168)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.26/0.59 % (31149)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.35/0.59 % (31144)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.35/0.59 % (31138)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.35/0.59 % (31159)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.35/0.59 % (31161)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.35/0.60 % (31141)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.35/0.60 % (31140)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.35/0.60 % (31153)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.35/0.60 % (31142)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.35/0.60 % (31164)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.35/0.60 % (31146)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.35/0.60 % (31146)Instruction limit reached!
% 1.35/0.60 % (31146)------------------------------
% 1.35/0.60 % (31146)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.60 % (31146)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.60 % (31146)Termination reason: Unknown
% 1.35/0.60 % (31146)Termination phase: Preprocessing 1
% 1.35/0.60
% 1.35/0.60 % (31146)Memory used [KB]: 1407
% 1.35/0.60 % (31146)Time elapsed: 0.004 s
% 1.35/0.60 % (31146)Instructions burned: 3 (million)
% 1.35/0.60 % (31146)------------------------------
% 1.35/0.60 % (31146)------------------------------
% 1.35/0.60 % (31143)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.35/0.60 % (31157)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.35/0.60 % (31160)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.35/0.60 % (31148)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.35/0.61 % (31165)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.35/0.61 % (31156)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.35/0.61 % (31163)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.35/0.61 % (31167)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.35/0.61 % (31166)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.35/0.61 % (31155)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.35/0.62 % (31152)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.35/0.62 % (31158)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.35/0.62 % (31147)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.35/0.62 % (31150)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.35/0.65 % (31144)Instruction limit reached!
% 1.35/0.65 % (31144)------------------------------
% 1.35/0.65 % (31144)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.65 % (31140)Instruction limit reached!
% 1.35/0.65 % (31140)------------------------------
% 1.35/0.65 % (31140)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.66 % (31139)Instruction limit reached!
% 1.83/0.66 % (31139)------------------------------
% 1.83/0.66 % (31139)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.66 % (31140)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.66 % (31140)Termination reason: Unknown
% 1.83/0.66 % (31140)Termination phase: Saturation
% 1.83/0.66
% 1.83/0.66 % (31140)Memory used [KB]: 2174
% 1.83/0.66 % (31140)Time elapsed: 0.019 s
% 1.83/0.66 % (31140)Instructions burned: 38 (million)
% 1.83/0.66 % (31140)------------------------------
% 1.83/0.66 % (31140)------------------------------
% 1.83/0.66 % (31144)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.66 % (31144)Termination reason: Unknown
% 1.83/0.66 % (31144)Termination phase: Finite model building preprocessing
% 1.83/0.66
% 1.83/0.66 % (31144)Memory used [KB]: 3454
% 1.83/0.66 % (31144)Time elapsed: 0.022 s
% 1.83/0.66 % (31144)Instructions burned: 52 (million)
% 1.83/0.66 % (31144)------------------------------
% 1.83/0.66 % (31144)------------------------------
% 1.83/0.67 % (31148)Instruction limit reached!
% 1.83/0.67 % (31148)------------------------------
% 1.83/0.67 % (31148)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.67 % (31148)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.67 % (31148)Termination reason: Unknown
% 1.83/0.67 % (31148)Termination phase: Saturation
% 1.83/0.67
% 1.83/0.67 % (31139)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.67 % (31139)Termination reason: Unknown
% 1.83/0.67 % (31139)Termination phase: Saturation
% 1.83/0.67
% 1.83/0.67 % (31139)Memory used [KB]: 7291
% 1.83/0.67 % (31139)Time elapsed: 0.027 s
% 1.83/0.67 % (31139)Instructions burned: 52 (million)
% 1.83/0.67 % (31139)------------------------------
% 1.83/0.67 % (31139)------------------------------
% 1.83/0.67 % (31143)Instruction limit reached!
% 1.83/0.67 % (31143)------------------------------
% 1.83/0.67 % (31143)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.67 % (31143)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.67 % (31143)Termination reason: Unknown
% 1.83/0.67 % (31143)Termination phase: Saturation
% 1.83/0.67
% 1.83/0.67 % (31143)Memory used [KB]: 7164
% 1.83/0.67 % (31143)Time elapsed: 0.206 s
% 1.83/0.67 % (31143)Instructions burned: 49 (million)
% 1.83/0.67 % (31143)------------------------------
% 1.83/0.67 % (31143)------------------------------
% 1.83/0.68 % (31156)Instruction limit reached!
% 1.83/0.68 % (31156)------------------------------
% 1.83/0.68 % (31156)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.69 % (31142)Instruction limit reached!
% 1.83/0.69 % (31142)------------------------------
% 1.83/0.69 % (31142)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.69 % (31142)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.69 % (31142)Termination reason: Unknown
% 1.83/0.69 % (31142)Termination phase: Saturation
% 1.83/0.69
% 1.83/0.69 % (31142)Memory used [KB]: 7291
% 1.83/0.69 % (31142)Time elapsed: 0.043 s
% 1.83/0.69 % (31142)Instructions burned: 52 (million)
% 1.83/0.69 % (31142)------------------------------
% 1.83/0.69 % (31142)------------------------------
% 1.83/0.69 % (31141)Instruction limit reached!
% 1.83/0.69 % (31141)------------------------------
% 1.83/0.69 % (31141)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.69 % (31141)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.69 % (31141)Termination reason: Unknown
% 1.83/0.69 % (31141)Termination phase: Saturation
% 1.83/0.69
% 1.83/0.69 % (31141)Memory used [KB]: 7164
% 1.83/0.69 % (31141)Time elapsed: 0.212 s
% 1.83/0.69 % (31141)Instructions burned: 51 (million)
% 1.83/0.69 % (31141)------------------------------
% 1.83/0.69 % (31141)------------------------------
% 1.83/0.69 % (31148)Memory used [KB]: 7419
% 1.83/0.69 % (31148)Time elapsed: 0.027 s
% 1.83/0.69 % (31148)Instructions burned: 52 (million)
% 1.83/0.69 % (31148)------------------------------
% 1.83/0.69 % (31148)------------------------------
% 1.83/0.69 % (31153)Instruction limit reached!
% 1.83/0.69 % (31153)------------------------------
% 1.83/0.69 % (31153)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.70 % (31226)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 1.83/0.70 % (31147)Instruction limit reached!
% 1.83/0.70 % (31147)------------------------------
% 1.83/0.70 % (31147)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.70 % (31147)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.70 % (31147)Termination reason: Unknown
% 1.83/0.70 % (31147)Termination phase: Saturation
% 1.83/0.70
% 1.83/0.70 % (31147)Memory used [KB]: 2686
% 1.83/0.70 % (31147)Time elapsed: 0.228 s
% 1.83/0.70 % (31147)Instructions burned: 51 (million)
% 1.83/0.70 % (31147)------------------------------
% 1.83/0.70 % (31147)------------------------------
% 1.83/0.70 % (31156)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.70 % (31156)Termination reason: Unknown
% 1.83/0.70 % (31156)Termination phase: Finite model building preprocessing
% 1.83/0.70
% 1.83/0.70 % (31156)Memory used [KB]: 3837
% 1.83/0.70 % (31156)Time elapsed: 0.026 s
% 1.83/0.70 % (31156)Instructions burned: 60 (million)
% 1.83/0.70 % (31156)------------------------------
% 1.83/0.70 % (31156)------------------------------
% 1.83/0.70 % (31153)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.70 % (31153)Termination reason: Unknown
% 1.83/0.70 % (31153)Termination phase: Saturation
% 1.83/0.70
% 1.83/0.70 % (31153)Memory used [KB]: 8443
% 1.83/0.70 % (31153)Time elapsed: 0.041 s
% 1.83/0.70 % (31153)Instructions burned: 68 (million)
% 1.83/0.70 % (31153)------------------------------
% 1.83/0.70 % (31153)------------------------------
% 2.30/0.71 % (31154)Instruction limit reached!
% 2.30/0.71 % (31154)------------------------------
% 2.30/0.71 % (31154)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.30/0.71 % (31154)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.30/0.71 % (31154)Termination reason: Unknown
% 2.30/0.71 % (31154)Termination phase: Saturation
% 2.30/0.71
% 2.30/0.71 % (31154)Memory used [KB]: 2942
% 2.30/0.71 % (31154)Time elapsed: 0.203 s
% 2.30/0.71 % (31154)Instructions burned: 76 (million)
% 2.30/0.71 % (31154)------------------------------
% 2.30/0.71 % (31154)------------------------------
% 2.30/0.73 % (31165)Instruction limit reached!
% 2.30/0.73 % (31165)------------------------------
% 2.30/0.73 % (31165)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.30/0.73 % (31165)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.30/0.73 % (31165)Termination reason: Unknown
% 2.30/0.73 % (31165)Termination phase: Saturation
% 2.30/0.73
% 2.30/0.73 % (31165)Memory used [KB]: 8443
% 2.30/0.73 % (31165)Time elapsed: 0.034 s
% 2.30/0.73 % (31165)Instructions burned: 70 (million)
% 2.30/0.73 % (31165)------------------------------
% 2.30/0.73 % (31165)------------------------------
% 2.30/0.73 % (31157)Instruction limit reached!
% 2.30/0.73 % (31157)------------------------------
% 2.30/0.73 % (31157)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.30/0.73 % (31157)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.30/0.73 % (31157)Termination reason: Unknown
% 2.30/0.73 % (31157)Termination phase: Saturation
% 2.30/0.73
% 2.30/0.73 % (31157)Memory used [KB]: 7675
% 2.30/0.73 % (31157)Time elapsed: 0.055 s
% 2.30/0.73 % (31157)Instructions burned: 100 (million)
% 2.30/0.73 % (31157)------------------------------
% 2.30/0.73 % (31157)------------------------------
% 2.30/0.74 % (31245)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.47/0.76 % (31149)Instruction limit reached!
% 2.47/0.76 % (31149)------------------------------
% 2.47/0.76 % (31149)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.76 % (31149)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.76 % (31149)Termination reason: Unknown
% 2.47/0.76 % (31149)Termination phase: Saturation
% 2.47/0.76
% 2.47/0.76 % (31149)Memory used [KB]: 8059
% 2.47/0.76 % (31149)Time elapsed: 0.273 s
% 2.47/0.76 % (31149)Instructions burned: 102 (million)
% 2.47/0.76 % (31149)------------------------------
% 2.47/0.76 % (31149)------------------------------
% 2.47/0.77 % (31286)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 2.47/0.78 % (31152)Instruction limit reached!
% 2.47/0.78 % (31152)------------------------------
% 2.47/0.78 % (31152)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.78 % (31152)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.78 % (31152)Termination reason: Unknown
% 2.47/0.78 % (31152)Termination phase: Saturation
% 2.47/0.78
% 2.47/0.78 % (31152)Memory used [KB]: 7931
% 2.47/0.78 % (31152)Time elapsed: 0.316 s
% 2.47/0.78 % (31152)Instructions burned: 100 (million)
% 2.47/0.78 % (31152)------------------------------
% 2.47/0.78 % (31152)------------------------------
% 2.47/0.79 % (31158)Instruction limit reached!
% 2.47/0.79 % (31158)------------------------------
% 2.47/0.79 % (31158)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.79 % (31158)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.79 % (31158)Termination reason: Unknown
% 2.47/0.79 % (31158)Termination phase: Saturation
% 2.47/0.79
% 2.47/0.79 % (31158)Memory used [KB]: 2942
% 2.47/0.79 % (31158)Time elapsed: 0.295 s
% 2.47/0.79 % (31158)Instructions burned: 102 (million)
% 2.47/0.79 % (31158)------------------------------
% 2.47/0.79 % (31158)------------------------------
% 2.47/0.79 % (31287)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/920Mi)
% 2.47/0.79 % (31150)Instruction limit reached!
% 2.47/0.79 % (31150)------------------------------
% 2.47/0.79 % (31150)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.79 % (31150)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.79 % (31150)Termination reason: Unknown
% 2.47/0.79 % (31150)Termination phase: Saturation
% 2.47/0.79
% 2.47/0.79 % (31150)Memory used [KB]: 8059
% 2.47/0.79 % (31150)Time elapsed: 0.303 s
% 2.47/0.79 % (31150)Instructions burned: 102 (million)
% 2.47/0.79 % (31150)------------------------------
% 2.47/0.79 % (31150)------------------------------
% 2.47/0.81 % (31155)Instruction limit reached!
% 2.47/0.81 % (31155)------------------------------
% 2.47/0.81 % (31155)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.81 % (31155)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.81 % (31155)Termination reason: Unknown
% 2.47/0.81 % (31155)Termination phase: Saturation
% 2.47/0.81
% 2.47/0.81 % (31155)Memory used [KB]: 8059
% 2.47/0.81 % (31155)Time elapsed: 0.321 s
% 2.47/0.81 % (31155)Instructions burned: 99 (million)
% 2.47/0.81 % (31155)------------------------------
% 2.47/0.81 % (31155)------------------------------
% 2.47/0.82 % (31160)Instruction limit reached!
% 2.47/0.82 % (31160)------------------------------
% 2.47/0.82 % (31160)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.82 % (31292)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/934Mi)
% 2.47/0.82 % (31301)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/655Mi)
% 2.47/0.82 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.47/0.82 % (31310)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/981Mi)
% 2.47/0.82 % (31303)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 2.47/0.83 % (31319)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 2.47/0.83 % (31305)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/940Mi)
% 2.47/0.83 % (31160)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.83 % (31160)Termination reason: Unknown
% 2.47/0.83 % (31160)Termination phase: Saturation
% 2.47/0.83
% 2.47/0.83 % (31160)Memory used [KB]: 8187
% 2.47/0.83 % (31160)Time elapsed: 0.070 s
% 2.47/0.83 % (31160)Instructions burned: 138 (million)
% 2.47/0.83 % (31160)------------------------------
% 2.47/0.83 % (31160)------------------------------
% 2.47/0.83 % (31166)Instruction limit reached!
% 2.47/0.83 % (31166)------------------------------
% 2.47/0.83 % (31166)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.47/0.83 % (31166)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.47/0.83 % (31166)Termination reason: Unknown
% 2.47/0.83 % (31166)Termination phase: Saturation
% 2.47/0.83
% 2.47/0.83 % (31166)Memory used [KB]: 3198
% 2.47/0.83 % (31166)Time elapsed: 0.364 s
% 2.47/0.83 % (31166)Instructions burned: 177 (million)
% 2.47/0.83 % (31166)------------------------------
% 2.47/0.83 % (31166)------------------------------
% 2.47/0.83 % (31299)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/747Mi)
% 2.81/0.84 % (31311)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 2.81/0.84 % (31316)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2016Mi)
% 2.81/0.85 % (31326)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4958Mi)
% 2.81/0.86 % (31328)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4959Mi)
% 2.81/0.87 % (31159)Instruction limit reached!
% 2.81/0.87 % (31159)------------------------------
% 2.81/0.87 % (31159)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.81/0.87 % (31159)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.81/0.87 % (31159)Termination reason: Unknown
% 2.81/0.87 % (31159)Termination phase: Saturation
% 2.81/0.87
% 2.81/0.87 % (31159)Memory used [KB]: 8571
% 2.81/0.87 % (31159)Time elapsed: 0.088 s
% 2.81/0.87 % (31159)Instructions burned: 176 (million)
% 2.81/0.87 % (31159)------------------------------
% 2.81/0.87 % (31159)------------------------------
% 2.92/0.89 % (31338)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4756Mi)
% 2.92/0.89 TRYING [26]
% 2.92/0.91 % (31286)Instruction limit reached!
% 2.92/0.91 % (31286)------------------------------
% 2.92/0.91 % (31286)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.92/0.91 % (31340)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/68Mi)
% 2.92/0.91 % (31339)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4931Mi)
% 2.92/0.91 % (31286)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.92/0.91 % (31286)Termination reason: Unknown
% 2.92/0.91 % (31286)Termination phase: Saturation
% 2.92/0.91
% 2.92/0.91 % (31286)Memory used [KB]: 8059
% 2.92/0.91 % (31286)Time elapsed: 0.200 s
% 2.92/0.91 % (31286)Instructions burned: 91 (million)
% 2.92/0.91 % (31286)------------------------------
% 2.92/0.91 % (31286)------------------------------
% 2.92/0.93 % (31303)Instruction limit reached!
% 2.92/0.93 % (31303)------------------------------
% 2.92/0.93 % (31303)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.92/0.94 % (31341)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/1824Mi)
% 2.92/0.94 % (31349)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2134Mi)
% 3.13/0.95 % (31303)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.13/0.95 % (31303)Termination reason: Unknown
% 3.13/0.95 % (31303)Termination phase: Saturation
% 3.13/0.95
% 3.13/0.95 % (31303)Memory used [KB]: 8443
% 3.13/0.95 % (31303)Time elapsed: 0.033 s
% 3.13/0.95 % (31303)Instructions burned: 68 (million)
% 3.13/0.95 % (31303)------------------------------
% 3.13/0.95 % (31303)------------------------------
% 3.20/0.97 % (31356)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2891Mi)
% 3.20/0.97 % (31358)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4585Mi)
% 3.20/0.99 % (31311)Instruction limit reached!
% 3.20/0.99 % (31311)------------------------------
% 3.20/0.99 % (31311)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.20/0.99 % (31370)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/90Mi)
% 3.30/1.01 % (31311)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.30/1.01 % (31311)Termination reason: Unknown
% 3.30/1.01 % (31311)Termination phase: Saturation
% 3.30/1.01
% 3.30/1.01 % (31311)Memory used [KB]: 7931
% 3.30/1.01 % (31311)Time elapsed: 0.253 s
% 3.30/1.01 % (31311)Instructions burned: 90 (million)
% 3.30/1.01 % (31311)------------------------------
% 3.30/1.01 % (31311)------------------------------
% 3.30/1.01 % (31340)Instruction limit reached!
% 3.30/1.01 % (31340)------------------------------
% 3.30/1.01 % (31340)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.30/1.01 % (31340)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.30/1.01 % (31340)Termination reason: Unknown
% 3.30/1.01 % (31340)Termination phase: Saturation
% 3.30/1.01
% 3.30/1.01 % (31340)Memory used [KB]: 8443
% 3.30/1.01 % (31340)Time elapsed: 0.031 s
% 3.30/1.01 % (31340)Instructions burned: 68 (million)
% 3.30/1.01 % (31340)------------------------------
% 3.30/1.01 % (31340)------------------------------
% 3.30/1.03 % (31380)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2016Mi)
% 3.30/1.04 % (31245)Instruction limit reached!
% 3.30/1.04 % (31245)------------------------------
% 3.30/1.04 % (31245)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.30/1.04 % (31245)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.30/1.04 % (31245)Termination reason: Unknown
% 3.30/1.04 % (31245)Termination phase: Saturation
% 3.30/1.04
% 3.30/1.04 % (31245)Memory used [KB]: 3198
% 3.30/1.04 % (31245)Time elapsed: 0.397 s
% 3.30/1.04 % (31245)Instructions burned: 211 (million)
% 3.30/1.04 % (31245)------------------------------
% 3.30/1.04 % (31245)------------------------------
% 5.04/1.08 % (31404)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/8004Mi)
% 5.04/1.14 % (31370)Instruction limit reached!
% 5.04/1.14 % (31370)------------------------------
% 5.04/1.14 % (31370)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.75/1.14 % (31422)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9877Mi)
% 5.75/1.15 % (31421)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=9965:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9965Mi)
% 5.75/1.15 % (31370)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.75/1.15 % (31370)Termination reason: Unknown
% 5.75/1.15 % (31370)Termination phase: Saturation
% 5.75/1.15
% 5.75/1.15 % (31370)Memory used [KB]: 8059
% 5.75/1.15 % (31370)Time elapsed: 0.225 s
% 5.75/1.15 % (31370)Instructions burned: 92 (million)
% 5.75/1.15 % (31370)------------------------------
% 5.75/1.15 % (31370)------------------------------
% 5.75/1.15 % (31168)Instruction limit reached!
% 5.75/1.15 % (31168)------------------------------
% 5.75/1.15 % (31168)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.75/1.15 % (31168)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.75/1.15 % (31168)Termination reason: Unknown
% 5.75/1.15 % (31168)Termination phase: Saturation
% 5.75/1.15
% 5.75/1.15 % (31168)Memory used [KB]: 11769
% 5.75/1.15 % (31168)Time elapsed: 0.186 s
% 5.75/1.15 % (31168)Instructions burned: 356 (million)
% 5.75/1.15 % (31168)------------------------------
% 5.75/1.15 % (31168)------------------------------
% 5.75/1.20 % (31423)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=9902:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/9902Mi)
% 6.15/1.24 % (31162)Instruction limit reached!
% 6.15/1.24 % (31162)------------------------------
% 6.15/1.24 % (31162)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.15/1.24 % (31162)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.15/1.24 % (31162)Termination reason: Unknown
% 6.15/1.24 % (31162)Termination phase: Saturation
% 6.15/1.24
% 6.15/1.24 % (31162)Memory used [KB]: 11257
% 6.15/1.24 % (31162)Time elapsed: 0.301 s
% 6.15/1.24 % (31162)Instructions burned: 468 (million)
% 6.15/1.24 % (31162)------------------------------
% 6.15/1.24 % (31162)------------------------------
% 6.57/1.26 % (31167)Instruction limit reached!
% 6.57/1.26 % (31167)------------------------------
% 6.57/1.26 % (31167)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.57/1.27 % (31167)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.57/1.27 % (31167)Termination reason: Unknown
% 6.57/1.27 % (31167)Termination phase: Saturation
% 6.57/1.27
% 6.57/1.27 % (31167)Memory used [KB]: 10106
% 6.57/1.27 % (31167)Time elapsed: 0.221 s
% 6.57/1.27 % (31167)Instructions burned: 441 (million)
% 6.57/1.27 % (31167)------------------------------
% 6.57/1.27 % (31167)------------------------------
% 6.57/1.27 % (31424)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/1824Mi)
% 6.57/1.28 % (31425)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9989Mi)
% 6.57/1.33 % (31326)First to succeed.
% 6.57/1.34 % (31161)Instruction limit reached!
% 6.57/1.34 % (31161)------------------------------
% 6.57/1.34 % (31161)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.57/1.34 % (31161)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.57/1.34 % (31161)Termination reason: Unknown
% 6.57/1.34 % (31161)Termination phase: Saturation
% 6.57/1.34
% 6.57/1.34 % (31161)Memory used [KB]: 5117
% 6.57/1.34 % (31161)Time elapsed: 0.874 s
% 6.57/1.34 % (31161)Instructions burned: 500 (million)
% 6.57/1.34 % (31161)------------------------------
% 6.57/1.34 % (31161)------------------------------
% 7.28/1.37 % (31163)Instruction limit reached!
% 7.28/1.37 % (31163)------------------------------
% 7.28/1.37 % (31163)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.28/1.37 % (31163)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.28/1.37 % (31163)Termination reason: Unknown
% 7.28/1.37 % (31163)Termination phase: Saturation
% 7.28/1.37
% 7.28/1.37 % (31163)Memory used [KB]: 10362
% 7.28/1.37 % (31163)Time elapsed: 0.240 s
% 7.28/1.37 % (31163)Instructions burned: 484 (million)
% 7.28/1.37 % (31163)------------------------------
% 7.28/1.37 % (31163)------------------------------
% 7.28/1.37 % (31226)Instruction limit reached!
% 7.28/1.37 % (31226)------------------------------
% 7.28/1.37 % (31226)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.28/1.37 % (31226)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.28/1.37 % (31226)Termination reason: Unknown
% 7.28/1.37 % (31226)Termination phase: Saturation
% 7.28/1.37
% 7.28/1.37 % (31226)Memory used [KB]: 10234
% 7.28/1.37 % (31226)Time elapsed: 0.744 s
% 7.28/1.37 % (31226)Instructions burned: 390 (million)
% 7.28/1.37 % (31226)------------------------------
% 7.28/1.37 % (31226)------------------------------
% 7.28/1.39 % (31426)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9707Mi)
% 7.58/1.40 % (31427)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/90Mi)
% 7.58/1.41 % (31164)Instruction limit reached!
% 7.58/1.41 % (31164)------------------------------
% 7.58/1.41 % (31164)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.58/1.42 % (31164)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.58/1.42 % (31164)Termination reason: Unknown
% 7.58/1.42 % (31164)Termination phase: Saturation
% 7.58/1.42
% 7.58/1.42 % (31164)Memory used [KB]: 11385
% 7.58/1.42 % (31164)Time elapsed: 0.945 s
% 7.58/1.42 % (31164)Instructions burned: 500 (million)
% 7.58/1.42 % (31164)------------------------------
% 7.58/1.42 % (31164)------------------------------
% 7.90/1.47 % (31428)ott+3_1:1_abs=on:anc=none:bs=on:fsr=off:spb=goal_then_units:i=44001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/44001Mi)
% 7.90/1.50 % (31429)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/4958Mi)
% 7.90/1.51 % (31430)ott+1_27:428_av=off:awrs=converge:awrsf=8:bsr=unit_only:drc=off:fd=preordered:newcnf=on:nwc=1.5:skr=on:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:uwa=one_side_constant:i=35256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/35256Mi)
% 7.90/1.52 % (31341)Also succeeded, but the first one will report.
% 7.90/1.52 % (31326)Refutation found. Thanks to Tanya!
% 7.90/1.52 % SZS status Unsatisfiable for theBenchmark
% 7.90/1.52 % SZS output start Proof for theBenchmark
% See solution above
% 7.90/1.54 % (31326)------------------------------
% 7.90/1.54 % (31326)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.90/1.54 % (31326)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.90/1.54 % (31326)Termination reason: Refutation
% 7.90/1.54
% 7.90/1.54 % (31326)Memory used [KB]: 5245
% 7.90/1.54 % (31326)Time elapsed: 0.206 s
% 7.90/1.54 % (31326)Instructions burned: 395 (million)
% 7.90/1.54 % (31326)------------------------------
% 7.90/1.54 % (31326)------------------------------
% 7.90/1.54 % (31102)Success in time 1.189 s
%------------------------------------------------------------------------------