TSTP Solution File: NUM377+1.020 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : NUM377+1.020 : 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 : n010.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 18:04:42 EDT 2022

% Result   : Unsatisfiable 7.29s 1.35s
% Output   : Refutation 7.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :  797
% Syntax   : Number of formulae    : 2273 (1467 unt;   0 def)
%            Number of atoms       : 7951 (6360 equ)
%            Maximal formula atoms : 1590 (   3 avg)
%            Number of connectives : 7518 (1840   ~; 472   |;4410   &)
%                                         ( 795 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  780 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :  797 ( 795 usr; 796 prp; 0-2 aty)
%            Number of functors    :   66 (  66 usr;  63 con; 0-2 aty)
%            Number of variables   :  168 (   0   !; 168   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4658,plain,
    $false,
    inference(avatar_smt_refutation,[],[f746,f751,f756,f761,f766,f771,f776,f781,f786,f791,f796,f801,f806,f811,f816,f821,f826,f831,f836,f841,f846,f851,f856,f861,f866,f871,f876,f881,f886,f891,f896,f901,f906,f911,f916,f921,f926,f931,f936,f941,f946,f951,f956,f961,f966,f971,f976,f981,f986,f991,f996,f1001,f1006,f1011,f1016,f1021,f1026,f1031,f1036,f1041,f1046,f1051,f1056,f1061,f1066,f1071,f1076,f1081,f1086,f1091,f1096,f1101,f1106,f1111,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,f1467,f1472,f1477,f1482,f1487,f1492,f1497,f1502,f1507,f1512,f1517,f1522,f1527,f1532,f1537,f1542,f1547,f1552,f1557,f1562,f1567,f1572,f1577,f1582,f1587,f1592,f1597,f1602,f1607,f1612,f1617,f1622,f1627,f1632,f1637,f1642,f1647,f1652,f1657,f1662,f1667,f1672,f1677,f1682,f1687,f1692,f1697,f1702,f1707,f1712,f1717,f1722,f1727,f1732,f1737,f1742,f1747,f1752,f1757,f1762,f1767,f1772,f1777,f1782,f1787,f1792,f1797,f1802,f1807,f1812,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,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,f4617,f4622,f4627,f4632,f4637,f4642,f4647,f4652,f4657]) ).

fof(f4657,plain,
    spl42_795,
    inference(avatar_split_clause,[],[f228,f4654]) ).

fof(f4654,plain,
    ( spl42_795
  <=> sum(sum(pred(sK33),succ(sK4)),sum(pred(sK4),succ(sK33))) = sK40 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_795])]) ).

fof(f228,plain,
    sum(sum(pred(sK33),succ(sK4)),sum(pred(sK4),succ(sK33))) = sK40,
    inference(cnf_transformation,[],[f5]) ).

fof(f5,plain,
    ( n9 = sum(n6,n3)
    & n16 != n17
    & n8 != n17
    & n8 != n10
    & n18 = pred(n19)
    & n13 != n14
    & n11 != n15
    & n7 != n10
    & n6 = sum(n17,n10)
    & n0 != n12
    & n3 = sum(n16,n8)
    & n11 = sum(n8,n3)
    & sum(sum(pred(sK29),succ(sK29)),sum(pred(sK1),succ(sK1))) = sK20
    & n12 != n20
    & n13 != n18
    & n16 = sum(n0,n16)
    & sK10 = sum(sum(pred(sK3),succ(sK3)),sum(pred(sK32),succ(sK32)))
    & n3 != n7
    & n17 != n19
    & n7 = sum(n7,n0)
    & n20 = sum(n9,n11)
    & n1 = sum(n18,n4)
    & n12 = sum(n15,n18)
    & n20 = sum(n0,n20)
    & n2 = sum(n17,n6)
    & n15 = pred(n16)
    & n18 = sum(n13,n5)
    & n16 = sum(n7,n9)
    & n12 = sum(n1,n11)
    & n13 = sum(n8,n5)
    & n12 = sum(n4,n8)
    & n10 != n13
    & ( n18 = sK22
      | n17 = sK22
      | n7 = sK22
      | n19 = sK22
      | n6 = sK22
      | n8 = sK22
      | n14 = sK22
      | n11 = sK22
      | n16 = sK22
      | n2 = sK22
      | n4 = sK22
      | n15 = sK22
      | n0 = sK22
      | n13 = sK22
      | n12 = sK22
      | n20 = sK22
      | n10 = sK22
      | n3 = sK22
      | n9 = sK22
      | n1 = sK22
      | n5 = sK22 )
    & n5 != n11
    & n11 != n14
    & n18 = sum(n1,n17)
    & n15 = sum(n8,n7)
    & n4 = sum(n8,n17)
    & n9 != n10
    & sK14 = sum(sum(pred(sK2),succ(sK2)),sum(pred(sK5),succ(sK5)))
    & n19 = sum(n2,n17)
    & n17 = sum(n12,n5)
    & n11 != n13
    & n0 != n2
    & n7 = sum(n18,n10)
    & n7 = pred(n8)
    & n1 = sum(n7,n15)
    & n8 = pred(n9)
    & n1 = sum(n16,n6)
    & n17 = sum(n7,n10)
    & sum(sum(pred(sK31),succ(sK31)),sum(pred(sK26),succ(sK26))) = sK35
    & n6 != n16
    & n2 != n10
    & n3 != n14
    & n20 = sum(n10,n10)
    & n1 != n6
    & n19 = sum(n3,n16)
    & n15 = sum(n7,n8)
    & n2 = sum(n16,n7)
    & n13 = sum(n13,n0)
    & n13 != n19
    & n12 = sum(n13,n20)
    & succ(n18) = n19
    & n17 != n18
    & n20 = sum(n6,n14)
    & n8 != n16
    & n0 = sum(n18,n3)
    & succ(n11) = n12
    & n12 = sum(n5,n7)
    & n4 != n11
    & sum(sum(pred(sK36),succ(sK15)),sum(pred(sK15),succ(sK36))) = sK31
    & n4 != n16
    & n10 = sum(n18,n13)
    & n1 = sum(n3,n19)
    & n13 = sum(n15,n19)
    & n12 = sum(n12,n0)
    & n2 = sum(n1,n1)
    & n20 = sum(n12,n8)
    & n2 = sum(n18,n5)
    & n6 = sum(n10,n17)
    & n2 != n7
    & n8 = sum(n5,n3)
    & sK11 = sum(sum(pred(sK12),succ(sK30)),sum(pred(sK30),succ(sK12)))
    & n6 != n8
    & n0 = pred(n1)
    & n14 = sum(n18,n17)
    & n2 = sum(n12,n11)
    & n16 = sum(n8,n8)
    & n8 != n12
    & sK8 = sum(sum(pred(sK37),succ(sK10)),sum(pred(sK10),succ(sK37)))
    & n6 = sum(n18,n9)
    & n6 = sum(n0,n6)
    & n12 != n18
    & n3 = sum(n0,n3)
    & n7 != n8
    & n7 = sum(n1,n6)
    & n2 != n4
    & sum(sum(pred(sK22),succ(sK23)),sum(pred(sK23),succ(sK22))) = sK24
    & n4 = sum(n4,n0)
    & n2 = sum(n19,n4)
    & n5 != n14
    & n5 != n9
    & n2 = pred(n3)
    & n3 != n11
    & n8 = sum(n19,n10)
    & n0 = sum(n0,n0)
    & n14 = sum(n13,n1)
    & n11 = sum(n5,n6)
    & n5 != n12
    & n0 != n14
    & n6 != n15
    & n9 != n19
    & n10 = sum(n2,n8)
    & sum(sum(pred(sK11),succ(sK11)),sum(pred(sK39),succ(sK39))) = sK32
    & n4 = sum(n3,n1)
    & n19 = sum(n8,n11)
    & n14 = sum(n8,n6)
    & n3 != n4
    & n0 = sum(n8,n13)
    & n15 = sum(n9,n6)
    & n4 != n5
    & n12 = sum(n16,n17)
    & n10 != n17
    & n14 != n20
    & n17 = sum(n2,n15)
    & n13 = sum(n9,n4)
    & n8 != n13
    & n10 = sum(n13,n18)
    & n7 = sum(n3,n4)
    & n8 = sum(n8,n0)
    & n19 = sum(n9,n10)
    & n19 = sum(n5,n14)
    & n18 = sum(n17,n1)
    & n14 = sum(n7,n7)
    & n8 = sum(n10,n19)
    & n1 = sum(n12,n10)
    & n2 = sum(n3,n20)
    & n8 = sum(n15,n14)
    & succ(n3) = n4
    & n5 = sum(n4,n1)
    & n2 = sum(n2,n0)
    & n2 = sum(n11,n12)
    & sum(sum(pred(sK33),succ(sK33)),sum(pred(sK4),succ(sK4))) = sK19
    & n7 = sum(n0,n7)
    & n19 = sum(n14,n5)
    & n18 = sum(n6,n12)
    & n2 != n11
    & n5 = sum(n20,n6)
    & n3 = sum(n11,n13)
    & n9 = sum(n2,n7)
    & n14 = sum(n4,n10)
    & succ(n14) = n15
    & n11 != n16
    & n10 != n15
    & n11 = pred(n12)
    & n11 = sum(n11,n0)
    & n12 != n15
    & n5 != n15
    & n4 = sum(n10,n15)
    & n4 != n18
    & n18 != n20
    & n8 != n14
    & n3 = sum(n20,n4)
    & n1 = sum(n8,n14)
    & n19 = sum(n4,n15)
    & n18 = sum(n20,n19)
    & n9 != n12
    & n20 = sum(n7,n13)
    & n4 != n9
    & n17 = sum(n0,n17)
    & n0 = sum(n4,n17)
    & n4 = sum(n0,n4)
    & n14 = sum(n12,n2)
    & n1 != n12
    & n11 = sum(n2,n9)
    & n6 = sum(n9,n18)
    & n5 != n20
    & n9 = sum(n9,n0)
    & n5 = sum(n17,n9)
    & n10 = sum(n7,n3)
    & n0 != n9
    & n8 != n9
    & n3 = sum(n5,n19)
    & n15 != n19
    & n3 != n12
    & sum(sum(pred(sK40),succ(sK40)),sum(pred(sK19),succ(sK19))) = sK16
    & n8 = sum(n20,n9)
    & n0 != n4
    & n8 = sum(n16,n13)
    & n5 = pred(n6)
    & sum(sum(pred(sK31),succ(sK26)),sum(pred(sK26),succ(sK31))) = sK13
    & n7 != n13
    & n15 = sum(n1,n14)
    & n7 = sum(n6,n1)
    & n12 = sum(n7,n5)
    & n2 = sum(n6,n17)
    & succ(n16) = n17
    & n15 = sum(n18,n18)
    & n8 = sum(n14,n15)
    & n14 = sum(n2,n12)
    & n6 = sum(n19,n8)
    & sK21 = sum(sum(pred(sK18),succ(sK18)),sum(pred(sK14),succ(sK14)))
    & n2 = sum(n5,n18)
    & n3 != n6
    & n0 = succ(n20)
    & n3 != n10
    & succ(n5) = n6
    & n11 != n18
    & n5 = sum(n11,n15)
    & n7 = sum(n8,n20)
    & n17 = sum(n20,n18)
    & n20 = sum(n8,n12)
    & n4 = sum(n19,n6)
    & n8 != n11
    & n3 = sum(n15,n9)
    & n5 = sum(n2,n3)
    & n10 = sum(n12,n19)
    & n6 != n18
    & succ(n10) = n11
    & n16 = sum(n16,n0)
    & succ(n9) = n10
    & n3 = sum(n7,n17)
    & n10 = sum(n19,n12)
    & n14 = sum(n5,n9)
    & n19 = sum(n13,n6)
    & n9 = sum(n15,n15)
    & n7 = sum(n16,n12)
    & n4 = sum(n20,n5)
    & n3 = sum(n10,n14)
    & n1 = sum(n17,n5)
    & n17 = sum(n10,n7)
    & n5 != n10
    & n4 != n13
    & n17 = sum(n15,n2)
    & n5 = sum(n3,n2)
    & n14 != n16
    & n1 = sum(n13,n9)
    & n11 = sum(n6,n5)
    & n2 != n17
    & n7 = sum(n9,n19)
    & n0 = sum(n13,n8)
    & n3 != n8
    & n12 != n14
    & n3 = sum(n13,n11)
    & n1 != n11
    & n3 = sum(n1,n2)
    & n16 = pred(n17)
    & n6 != n14
    & n1 != n10
    & n7 != n14
    & n14 = sum(n1,n13)
    & n12 = sum(n0,n12)
    & n3 = sum(n9,n15)
    & n1 != n17
    & n0 = sum(n20,n1)
    & n9 = sum(n8,n1)
    & n15 = sum(n14,n1)
    & sum(sum(pred(sK29),succ(sK1)),sum(pred(sK1),succ(sK29))) = sK6
    & n11 = sum(n18,n14)
    & n3 = sum(n8,n16)
    & n13 = sum(n11,n2)
    & n5 != n7
    & n16 = sum(n4,n12)
    & n1 = sum(n19,n3)
    & n15 = sum(n19,n17)
    & n14 = sum(n14,n0)
    & n16 = sum(n10,n6)
    & n4 = sum(n13,n12)
    & n11 != n19
    & n2 != n9
    & n19 = sum(n19,n0)
    & n5 = sum(n0,n5)
    & n17 = sum(n14,n3)
    & sum(sum(pred(sK8),succ(sK8)),sum(pred(sK27),succ(sK27))) = sK0
    & n11 = sum(n1,n10)
    & n17 = sum(n8,n9)
    & n2 = sum(n15,n8)
    & succ(n12) = n13
    & n7 != n15
    & n5 = sum(n15,n11)
    & n1 != n8
    & n20 = sum(n1,n19)
    & n5 != n17
    & n10 = sum(n20,n11)
    & n3 = sum(n14,n10)
    & n15 = sum(n0,n15)
    & n0 != n5
    & n9 != n18
    & n2 != n20
    & n13 = sum(n2,n11)
    & n7 = sum(n5,n2)
    & sK27 = sum(sum(pred(sK37),succ(sK37)),sum(pred(sK10),succ(sK10)))
    & n2 != n13
    & sum(sum(pred(sK24),succ(sK24)),sum(pred(sK38),succ(sK38))) = sK5
    & sK39 = sum(sum(pred(sK12),succ(sK12)),sum(pred(sK30),succ(sK30)))
    & n6 = sum(n16,n11)
    & n13 != n16
    & n3 != n16
    & n19 = sum(n11,n8)
    & n10 = sum(n16,n15)
    & n3 = sum(n18,n6)
    & n17 = sum(n5,n12)
    & n19 = sum(n7,n12)
    & n11 != n17
    & n4 != n19
    & n1 != n2
    & n10 = sum(n10,n0)
    & sum(sum(pred(sK41),succ(sK34)),sum(pred(sK34),succ(sK41))) = sK29
    & n12 = sum(n6,n6)
    & n10 = sum(n6,n4)
    & succ(n13) = n14
    & n18 = sum(n5,n13)
    & n19 = sum(n20,n20)
    & n1 != n14
    & n1 = sum(n0,n1)
    & n6 = sum(n1,n5)
    & succ(n0) = n1
    & n8 != n18
    & n5 = sum(n1,n4)
    & n14 = sum(n20,n15)
    & n17 = sum(n13,n4)
    & n19 = sum(n17,n2)
    & n2 = sum(n8,n15)
    & n17 = sum(n16,n1)
    & n2 != n19
    & n17 = sum(n1,n16)
    & n11 = sum(n14,n18)
    & n10 != n20
    & n16 = sum(n2,n14)
    & n14 = sum(n17,n18)
    & n16 = sum(n1,n15)
    & n4 != n10
    & n6 = sum(n15,n12)
    & n18 = sum(n2,n16)
    & n15 = sum(n17,n19)
    & sum(sum(pred(sK13),succ(sK13)),sum(pred(sK35),succ(sK35))) = sK28
    & n1 != n9
    & n14 = sum(n11,n3)
    & n20 = sum(n19,n1)
    & n6 = sum(n6,n0)
    & n3 != n18
    & n7 = sum(n10,n18)
    & n9 != n13
    & succ(n19) = n20
    & n17 = sum(n6,n11)
    & n16 = sum(n18,n19)
    & n20 = sum(n15,n5)
    & n4 = sum(n12,n13)
    & n13 = sum(n7,n6)
    & n1 = sum(n11,n11)
    & n9 = sum(n1,n8)
    & n14 = sum(n6,n8)
    & n5 != n13
    & n4 = sum(n7,n18)
    & n0 = sum(n7,n14)
    & n13 = sum(n12,n1)
    & n4 = sum(n1,n3)
    & n19 = sum(n16,n3)
    & n0 != n10
    & sK2 = sum(sum(pred(sK24),succ(sK38)),sum(pred(sK38),succ(sK24)))
    & n9 = sum(n12,n18)
    & n7 = sum(n14,n14)
    & n8 != n19
    & n13 = sum(n3,n10)
    & n18 = sum(n16,n2)
    & n8 = sum(n7,n1)
    & succ(n8) = n9
    & n15 = sum(n12,n3)
    & n19 = sum(n0,n19)
    & n13 != n15
    & n9 = sum(n17,n13)
    & n6 = sum(n12,n15)
    & n11 != n12
    & succ(n7) = n8
    & n2 = sum(n4,n19)
    & n6 = sum(n20,n7)
    & n18 = sum(n4,n14)
    & n15 = sum(n10,n5)
    & n13 = sum(n14,n20)
    & n16 != n20
    & n14 = sum(n3,n11)
    & n16 = sum(n15,n1)
    & n18 = sum(n3,n15)
    & sum(sum(pred(sK25),succ(sK28)),sum(pred(sK28),succ(sK25))) = sK12
    & n0 = sum(n9,n12)
    & n1 = sum(n5,n17)
    & sum(sum(pred(sK7),succ(sK16)),sum(pred(sK16),succ(sK7))) = sK41
    & n3 = sum(n19,n5)
    & n16 != n18
    & n0 = sum(n14,n7)
    & n10 = sum(n15,n16)
    & n3 != n9
    & sum(sum(pred(sK11),succ(sK39)),sum(pred(sK39),succ(sK11))) = sK3
    & n15 != n18
    & n9 = sum(n14,n16)
    & n19 = pred(n20)
    & n4 != n14
    & n16 != n19
    & sum(sum(pred(sK8),succ(sK27)),sum(pred(sK27),succ(sK8))) = sK9
    & n2 = sum(n7,n16)
    & n10 = sum(n17,n14)
    & n13 != n20
    & n16 = sum(n11,n5)
    & n2 != n6
    & n13 != n17
    & n15 = sum(n6,n9)
    & n18 = sum(n9,n9)
    & n16 = sum(n9,n7)
    & n0 = sum(n6,n15)
    & n20 = sum(n11,n9)
    & sK4 = sum(sum(pred(sK17),succ(sK17)),sum(pred(sK21),succ(sK21)))
    & n11 = sum(n13,n19)
    & sK1 = sum(sum(pred(sK41),succ(sK41)),sum(pred(sK34),succ(sK34)))
    & n0 = sum(n12,n9)
    & n15 = sum(n5,n10)
    & n7 != n19
    & n7 != n16
    & n17 = sum(n11,n6)
    & n6 = sum(n2,n4)
    & n4 != n12
    & n10 = pred(n11)
    & n6 = pred(n7)
    & n8 = sum(n4,n4)
    & n0 != n13
    & n6 = sum(n11,n16)
    & n8 != n20
    & n8 = sum(n12,n17)
    & n2 != n16
    & sum(sum(pred(sK6),succ(sK6)),sum(pred(sK20),succ(sK20))) = sK15
    & n7 = sum(n19,n9)
    & n4 = sum(n2,n2)
    & n2 != n14
    & n9 = sum(n5,n4)
    & n7 = sum(n4,n3)
    & n6 != n17
    & ( sK4 != sK33
      | sK27 != sK8
      | sK20 != sK6
      | sK12 != sK30
      | sK21 != sK17
      | sK38 != sK24
      | sK7 != sK16
      | sK34 != sK41
      | sK35 != sK13
      | sK37 != sK10
      | sK1 != sK29
      | sK28 != sK25
      | sK14 != sK18
      | sK36 != sK15
      | sK39 != sK11
      | sK19 != sK40
      | sK32 != sK3
      | sK0 != sK9
      | sK2 != sK5
      | sK26 != sK31 )
    & n3 != n5
    & n0 = sum(n11,n10)
    & n6 != n13
    & n7 != n9
    & n11 = sum(n10,n1)
    & n11 = sum(n9,n2)
    & n0 != n8
    & n9 != n16
    & n4 != n17
    & n18 = sum(n14,n4)
    & n7 = sum(n17,n11)
    & n19 = sum(n10,n9)
    & n14 = sum(n0,n14)
    & n1 = sum(n2,n20)
    & n15 = sum(n20,n16)
    & succ(n1) = n2
    & sK17 = sum(sum(pred(sK18),succ(sK14)),sum(pred(sK14),succ(sK18)))
    & n16 = sum(n17,n20)
    & n10 = sum(n0,n10)
    & n14 = sum(n16,n19)
    & n3 != n15
    & n1 = sum(n14,n8)
    & n11 = sum(n4,n7)
    & n9 != n11
    & n4 = sum(n14,n11)
    & n6 != n10
    & n12 != n19
    & n8 != n15
    & n11 = sum(n17,n15)
    & n0 = sum(n1,n20)
    & n2 = sum(n13,n10)
    & n19 = sum(n18,n1)
    & n9 = sum(n18,n12)
    & n13 = sum(n6,n7)
    & n4 = sum(n18,n7)
    & n17 = pred(n18)
    & n9 != n17
    & n13 = pred(n14)
    & n20 = sum(n18,n2)
    & n9 != n15
    & n8 = sum(n6,n2)
    & n12 = sum(n9,n3)
    & n3 = sum(n4,n20)
    & n18 = sum(n10,n8)
    & n20 = pred(n0)
    & n4 != n15
    & n12 = sum(n8,n4)
    & n14 = sum(n15,n20)
    & n0 != n15
    & n4 = sum(n9,n16)
    & n17 = sum(n9,n8)
    & n12 != n17
    & n4 != n8
    & n3 != n19
    & n3 = sum(n6,n18)
    & n12 = sum(n2,n10)
    & n1 = sum(n15,n7)
    & n20 = sum(n5,n15)
    & n7 = sum(n11,n17)
    & n10 != n11
    & n14 != n17
    & n16 = sum(n14,n2)
    & n6 = sum(n7,n20)
    & n9 = sum(n10,n20)
    & n1 = sum(n1,n0)
    & n8 = sum(n18,n11)
    & n1 != n19
    & n12 = sum(n3,n9)
    & n15 != n20
    & n4 = sum(n5,n20)
    & n6 != n12
    & n12 = sum(n19,n14)
    & n6 != n20
    & n15 = sum(n15,n0)
    & n17 = sum(n17,n0)
    & n5 = sum(n5,n0)
    & n15 = sum(n16,n20)
    & sum(sum(pred(sK33),succ(sK4)),sum(pred(sK4),succ(sK33))) = sK40
    & n18 = sum(n12,n6)
    & n0 != n6
    & n2 != n12
    & n10 = sum(n5,n5)
    & n7 != n17
    & n14 = pred(n15)
    & n7 = sum(n15,n13)
    & n3 = sum(n2,n1)
    & n14 = sum(n19,n16)
    & n5 = sum(n10,n16)
    & n14 != n15
    & n15 = sum(n3,n12)
    & n2 = sum(n0,n2)
    & n18 = sum(n0,n18)
    & n9 = sum(n16,n14)
    & n19 = sum(n12,n7)
    & n19 = sum(n6,n13)
    & n5 != n18
    & n15 != n17
    & n8 = sum(n17,n12)
    & n3 != n17
    & n16 = sum(n19,n18)
    & n19 != n20
    & n5 = sum(n8,n18)
    & n0 = sum(n16,n5)
    & n4 != n6
    & n5 = sum(n18,n8)
    & n14 = sum(n9,n5)
    & sum(sum(pred(sK13),succ(sK35)),sum(pred(sK35),succ(sK13))) = sK25
    & n11 = sum(n16,n16)
    & n4 != n20
    & n12 != n16
    & n20 = sum(n17,n3)
    & n13 = sum(n16,n18)
    & n14 = sum(n10,n4)
    & n12 = pred(n13)
    & n17 != n20
    & n2 = sum(n9,n14)
    & n16 = sum(n5,n11)
    & n4 = sum(n16,n9)
    & n10 = sum(n4,n6)
    & n10 != n12
    & n10 != n19
    & n1 = sum(n20,n2)
    & n2 != n5
    & n15 = sum(n13,n2)
    & n19 = sum(n1,n18)
    & n1 != n13
    & n17 = sum(n19,n19)
    & n18 = sum(n15,n3)
    & sK38 = sum(sum(pred(sK22),succ(sK22)),sum(pred(sK23),succ(sK23)))
    & n1 != n7
    & n2 != n18
    & n9 = sum(n7,n2)
    & n5 = sum(n9,n17)
    & n10 != n16
    & n20 = sum(n20,n0)
    & n6 = sum(n13,n14)
    & n9 = sum(n11,n19)
    & n1 = sum(n6,n16)
    & n16 = sum(n3,n13)
    & n0 = sum(n15,n6)
    & n16 = sum(n20,n17)
    & n5 = sum(n14,n12)
    & n20 = sum(n3,n17)
    & n5 != n16
    & succ(n15) = n16
    & n4 = sum(n17,n8)
    & n5 != n8
    & n10 = sum(n9,n1)
    & ( n0 = sK23
      | n17 = sK23
      | n4 = sK23
      | n14 = sK23
      | n10 = sK23
      | n2 = sK23
      | n20 = sK23
      | n19 = sK23
      | n1 = sK23
      | n18 = sK23
      | n8 = sK23
      | n11 = sK23
      | n7 = sK23
      | n15 = sK23
      | n12 = sK23
      | n13 = sK23
      | n6 = sK23
      | n16 = sK23
      | n5 = sK23
      | n9 = sK23
      | n3 = sK23 )
    & n10 = sum(n1,n9)
    & n9 = pred(n10)
    & n12 = sum(n17,n16)
    & n0 = sum(n10,n11)
    & n3 = pred(n4)
    & n2 = sum(n20,n3)
    & n0 != n7
    & n9 = sum(n3,n6)
    & n10 = sum(n8,n2)
    & n10 = sum(n14,n17)
    & n18 = sum(n7,n11)
    & n5 != n6
    & n5 = sum(n6,n20)
    & n3 = sum(n17,n7)
    & n9 = sum(n4,n5)
    & n13 = sum(n5,n8)
    & n15 = sum(n11,n4)
    & n18 != n19
    & n2 != n15
    & n1 = sum(n10,n12)
    & n10 = sum(n3,n7)
    & n14 != n19
    & n2 = sum(n10,n13)
    & n6 != n19
    & succ(n2) = n3
    & n0 = sum(n5,n16)
    & n9 != n14
    & n11 = sum(n3,n8)
    & n14 != n18
    & n16 = sum(n12,n4)
    & n15 != n16
    & n1 != n20
    & n13 = sum(n4,n9)
    & n13 = sum(n17,n17)
    & n12 = sum(n10,n2)
    & n11 = sum(n7,n4)
    & sK37 = sum(sum(pred(sK3),succ(sK32)),sum(pred(sK32),succ(sK3)))
    & n18 = sum(n8,n10)
    & n8 = sum(n11,n18)
    & n1 != n15
    & n12 = sum(n18,n15)
    & n0 != n3
    & n20 = sum(n13,n7)
    & n1 = sum(n9,n13)
    & n1 = pred(n2)
    & n9 = sum(n20,n10)
    & n0 != n17
    & n6 = sum(n8,n19)
    & n0 = sum(n19,n2)
    & n3 = sum(n12,n12)
    & n10 != n14
    & n8 = sum(n0,n8)
    & n8 = sum(n1,n7)
    & n15 = sum(n4,n11)
    & n13 = sum(n20,n14)
    & n8 = sum(n9,n20)
    & n12 != n13
    & n13 = sum(n0,n13)
    & n7 != n11
    & n11 = sum(n12,n20)
    & n11 = sum(n19,n13)
    & n7 = sum(n12,n16)
    & n17 = sum(n18,n20)
    & n0 != n19
    & n5 != n19
    & n5 = sum(n13,n13)
    & n9 = sum(n0,n9)
    & n0 = sum(n17,n4)
    & n5 = sum(n19,n7)
    & n18 = sum(n11,n7)
    & n6 != n7
    & n8 = sum(n2,n6)
    & n1 != n18
    & n6 != n9
    & n0 != n16
    & sum(sum(pred(sK2),succ(sK5)),sum(pred(sK5),succ(sK2))) = sK18
    & n1 != n4
    & n4 = pred(n5)
    & n7 != n20
    & n16 = sum(n13,n3)
    & n1 != n16
    & n7 != n12
    & n20 = sum(n16,n4)
    & n18 = sum(n19,n20)
    & n5 = sum(n7,n19)
    & n13 = sum(n10,n3)
    & n6 = sum(n5,n1)
    & n7 != n18
    & n5 = sum(n12,n14)
    & n3 != n13
    & n8 = sum(n13,n16)
    & n0 = sum(n2,n19)
    & n0 != n11
    & n1 != n5
    & n6 = sum(n14,n13)
    & n8 = sum(n3,n5)
    & n2 != n8
    & n1 != n3
    & n18 = sum(n18,n0)
    & n4 = sum(n11,n14)
    & n2 = sum(n14,n9)
    & n1 = sum(n4,n18)
    & n10 != n18
    & n17 = sum(n4,n13)
    & n7 = sum(n20,n8)
    & n11 = sum(n20,n12)
    & n13 = sum(n19,n15)
    & n0 != n18
    & sK26 = sum(sum(pred(sK36),succ(sK36)),sum(pred(sK15),succ(sK15)))
    & n10 = sum(n11,n20)
    & n17 = sum(n3,n14)
    & n4 = sum(n15,n10)
    & n9 != n20
    & succ(n6) = n7
    & n0 = sum(n3,n18)
    & n6 = sum(n3,n3)
    & n20 = sum(n2,n18)
    & n4 != n7
    & n19 = sum(n15,n4)
    & sum(sum(pred(sK25),succ(sK25)),sum(pred(sK28),succ(sK28))) = sK30
    & n0 != n20
    & sK36 = sum(sum(pred(sK6),succ(sK20)),sum(pred(sK20),succ(sK6)))
    & succ(n17) = n18
    & n9 = sum(n19,n11)
    & n13 = sum(n18,n16)
    & n9 = sum(n13,n17)
    & n5 = sum(n16,n10)
    & n11 = sum(n15,n17)
    & n3 = sum(n3,n0)
    & n3 != n20
    & n12 = sum(n20,n13)
    & n13 = sum(n1,n12)
    & succ(n4) = n5
    & n7 = sum(n13,n15)
    & n11 != n20
    & sK7 = sum(sum(pred(sK40),succ(sK19)),sum(pred(sK19),succ(sK40)))
    & n6 != n11
    & n20 = sum(n14,n6)
    & sum(sum(pred(sK17),succ(sK21)),sum(pred(sK21),succ(sK17))) = sK33
    & n16 = sum(n6,n10)
    & n4 = sum(n6,n19)
    & sK34 = sum(sum(pred(sK7),succ(sK7)),sum(pred(sK16),succ(sK16)))
    & n12 = sum(n11,n1)
    & n11 = sum(n0,n11)
    & n7 = sum(n2,n5)
    & n12 = sum(n14,n19)
    & n15 = sum(n2,n13)
    & n6 = sum(n4,n2)
    & n0 != n1
    & n2 != n3
    & n20 = sum(n4,n16) ),
    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])],[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] :
        ( n9 = sum(n6,n3)
        & n16 != n17
        & n8 != n17
        & n8 != n10
        & n18 = pred(n19)
        & n13 != n14
        & n11 != n15
        & n7 != n10
        & n6 = sum(n17,n10)
        & n0 != n12
        & n3 = sum(n16,n8)
        & n11 = sum(n8,n3)
        & sum(sum(pred(X29),succ(X29)),sum(pred(X1),succ(X1))) = X20
        & n12 != n20
        & n13 != n18
        & n16 = sum(n0,n16)
        & sum(sum(pred(X3),succ(X3)),sum(pred(X32),succ(X32))) = X10
        & n3 != n7
        & n17 != n19
        & n7 = sum(n7,n0)
        & n20 = sum(n9,n11)
        & n1 = sum(n18,n4)
        & n12 = sum(n15,n18)
        & n20 = sum(n0,n20)
        & n2 = sum(n17,n6)
        & n15 = pred(n16)
        & n18 = sum(n13,n5)
        & n16 = sum(n7,n9)
        & n12 = sum(n1,n11)
        & n13 = sum(n8,n5)
        & n12 = sum(n4,n8)
        & n10 != n13
        & ( n18 = X22
          | n17 = X22
          | n7 = X22
          | n19 = X22
          | n6 = X22
          | n8 = X22
          | n14 = X22
          | n11 = X22
          | n16 = X22
          | n2 = X22
          | n4 = X22
          | n15 = X22
          | n0 = X22
          | n13 = X22
          | n12 = X22
          | n20 = X22
          | n10 = X22
          | n3 = X22
          | n9 = X22
          | n1 = X22
          | n5 = X22 )
        & n5 != n11
        & n11 != n14
        & n18 = sum(n1,n17)
        & n15 = sum(n8,n7)
        & n4 = sum(n8,n17)
        & n9 != n10
        & sum(sum(pred(X2),succ(X2)),sum(pred(X5),succ(X5))) = X14
        & n19 = sum(n2,n17)
        & n17 = sum(n12,n5)
        & n11 != n13
        & n0 != n2
        & n7 = sum(n18,n10)
        & n7 = pred(n8)
        & n1 = sum(n7,n15)
        & n8 = pred(n9)
        & n1 = sum(n16,n6)
        & n17 = sum(n7,n10)
        & sum(sum(pred(X31),succ(X31)),sum(pred(X26),succ(X26))) = X35
        & n6 != n16
        & n2 != n10
        & n3 != n14
        & n20 = sum(n10,n10)
        & n1 != n6
        & n19 = sum(n3,n16)
        & n15 = sum(n7,n8)
        & n2 = sum(n16,n7)
        & n13 = sum(n13,n0)
        & n13 != n19
        & n12 = sum(n13,n20)
        & succ(n18) = n19
        & n17 != n18
        & n20 = sum(n6,n14)
        & n8 != n16
        & n0 = sum(n18,n3)
        & succ(n11) = n12
        & n12 = sum(n5,n7)
        & n4 != n11
        & sum(sum(pred(X36),succ(X15)),sum(pred(X15),succ(X36))) = X31
        & n4 != n16
        & n10 = sum(n18,n13)
        & n1 = sum(n3,n19)
        & n13 = sum(n15,n19)
        & n12 = sum(n12,n0)
        & n2 = sum(n1,n1)
        & n20 = sum(n12,n8)
        & n2 = sum(n18,n5)
        & n6 = sum(n10,n17)
        & n2 != n7
        & n8 = sum(n5,n3)
        & sum(sum(pred(X12),succ(X30)),sum(pred(X30),succ(X12))) = X11
        & n6 != n8
        & n0 = pred(n1)
        & n14 = sum(n18,n17)
        & n2 = sum(n12,n11)
        & n16 = sum(n8,n8)
        & n8 != n12
        & sum(sum(pred(X37),succ(X10)),sum(pred(X10),succ(X37))) = X8
        & n6 = sum(n18,n9)
        & n6 = sum(n0,n6)
        & n12 != n18
        & n3 = sum(n0,n3)
        & n7 != n8
        & n7 = sum(n1,n6)
        & n2 != n4
        & sum(sum(pred(X22),succ(X23)),sum(pred(X23),succ(X22))) = X24
        & n4 = sum(n4,n0)
        & n2 = sum(n19,n4)
        & n5 != n14
        & n5 != n9
        & n2 = pred(n3)
        & n3 != n11
        & n8 = sum(n19,n10)
        & n0 = sum(n0,n0)
        & n14 = sum(n13,n1)
        & n11 = sum(n5,n6)
        & n5 != n12
        & n0 != n14
        & n6 != n15
        & n9 != n19
        & n10 = sum(n2,n8)
        & sum(sum(pred(X11),succ(X11)),sum(pred(X39),succ(X39))) = X32
        & n4 = sum(n3,n1)
        & n19 = sum(n8,n11)
        & n14 = sum(n8,n6)
        & n3 != n4
        & n0 = sum(n8,n13)
        & n15 = sum(n9,n6)
        & n4 != n5
        & n12 = sum(n16,n17)
        & n10 != n17
        & n14 != n20
        & n17 = sum(n2,n15)
        & n13 = sum(n9,n4)
        & n8 != n13
        & n10 = sum(n13,n18)
        & n7 = sum(n3,n4)
        & n8 = sum(n8,n0)
        & n19 = sum(n9,n10)
        & n19 = sum(n5,n14)
        & n18 = sum(n17,n1)
        & n14 = sum(n7,n7)
        & n8 = sum(n10,n19)
        & n1 = sum(n12,n10)
        & n2 = sum(n3,n20)
        & n8 = sum(n15,n14)
        & succ(n3) = n4
        & n5 = sum(n4,n1)
        & n2 = sum(n2,n0)
        & n2 = sum(n11,n12)
        & sum(sum(pred(X33),succ(X33)),sum(pred(X4),succ(X4))) = X19
        & n7 = sum(n0,n7)
        & n19 = sum(n14,n5)
        & n18 = sum(n6,n12)
        & n2 != n11
        & n5 = sum(n20,n6)
        & n3 = sum(n11,n13)
        & n9 = sum(n2,n7)
        & n14 = sum(n4,n10)
        & succ(n14) = n15
        & n11 != n16
        & n10 != n15
        & n11 = pred(n12)
        & n11 = sum(n11,n0)
        & n12 != n15
        & n5 != n15
        & n4 = sum(n10,n15)
        & n4 != n18
        & n18 != n20
        & n8 != n14
        & n3 = sum(n20,n4)
        & n1 = sum(n8,n14)
        & n19 = sum(n4,n15)
        & n18 = sum(n20,n19)
        & n9 != n12
        & n20 = sum(n7,n13)
        & n4 != n9
        & n17 = sum(n0,n17)
        & n0 = sum(n4,n17)
        & n4 = sum(n0,n4)
        & n14 = sum(n12,n2)
        & n1 != n12
        & n11 = sum(n2,n9)
        & n6 = sum(n9,n18)
        & n5 != n20
        & n9 = sum(n9,n0)
        & n5 = sum(n17,n9)
        & n10 = sum(n7,n3)
        & n0 != n9
        & n8 != n9
        & n3 = sum(n5,n19)
        & n15 != n19
        & n3 != n12
        & sum(sum(pred(X40),succ(X40)),sum(pred(X19),succ(X19))) = X16
        & n8 = sum(n20,n9)
        & n0 != n4
        & n8 = sum(n16,n13)
        & n5 = pred(n6)
        & sum(sum(pred(X31),succ(X26)),sum(pred(X26),succ(X31))) = X13
        & n7 != n13
        & n15 = sum(n1,n14)
        & n7 = sum(n6,n1)
        & n12 = sum(n7,n5)
        & n2 = sum(n6,n17)
        & succ(n16) = n17
        & n15 = sum(n18,n18)
        & n8 = sum(n14,n15)
        & n14 = sum(n2,n12)
        & n6 = sum(n19,n8)
        & sum(sum(pred(X18),succ(X18)),sum(pred(X14),succ(X14))) = X21
        & n2 = sum(n5,n18)
        & n3 != n6
        & n0 = succ(n20)
        & n3 != n10
        & succ(n5) = n6
        & n11 != n18
        & n5 = sum(n11,n15)
        & n7 = sum(n8,n20)
        & n17 = sum(n20,n18)
        & n20 = sum(n8,n12)
        & n4 = sum(n19,n6)
        & n8 != n11
        & n3 = sum(n15,n9)
        & n5 = sum(n2,n3)
        & n10 = sum(n12,n19)
        & n6 != n18
        & succ(n10) = n11
        & n16 = sum(n16,n0)
        & succ(n9) = n10
        & n3 = sum(n7,n17)
        & n10 = sum(n19,n12)
        & n14 = sum(n5,n9)
        & n19 = sum(n13,n6)
        & n9 = sum(n15,n15)
        & n7 = sum(n16,n12)
        & n4 = sum(n20,n5)
        & n3 = sum(n10,n14)
        & n1 = sum(n17,n5)
        & n17 = sum(n10,n7)
        & n5 != n10
        & n4 != n13
        & n17 = sum(n15,n2)
        & n5 = sum(n3,n2)
        & n14 != n16
        & n1 = sum(n13,n9)
        & n11 = sum(n6,n5)
        & n2 != n17
        & n7 = sum(n9,n19)
        & n0 = sum(n13,n8)
        & n3 != n8
        & n12 != n14
        & n3 = sum(n13,n11)
        & n1 != n11
        & n3 = sum(n1,n2)
        & n16 = pred(n17)
        & n6 != n14
        & n1 != n10
        & n7 != n14
        & n14 = sum(n1,n13)
        & n12 = sum(n0,n12)
        & n3 = sum(n9,n15)
        & n1 != n17
        & n0 = sum(n20,n1)
        & n9 = sum(n8,n1)
        & n15 = sum(n14,n1)
        & sum(sum(pred(X29),succ(X1)),sum(pred(X1),succ(X29))) = X6
        & n11 = sum(n18,n14)
        & n3 = sum(n8,n16)
        & n13 = sum(n11,n2)
        & n5 != n7
        & n16 = sum(n4,n12)
        & n1 = sum(n19,n3)
        & n15 = sum(n19,n17)
        & n14 = sum(n14,n0)
        & n16 = sum(n10,n6)
        & n4 = sum(n13,n12)
        & n11 != n19
        & n2 != n9
        & n19 = sum(n19,n0)
        & n5 = sum(n0,n5)
        & n17 = sum(n14,n3)
        & sum(sum(pred(X8),succ(X8)),sum(pred(X27),succ(X27))) = X0
        & n11 = sum(n1,n10)
        & n17 = sum(n8,n9)
        & n2 = sum(n15,n8)
        & succ(n12) = n13
        & n7 != n15
        & n5 = sum(n15,n11)
        & n1 != n8
        & n20 = sum(n1,n19)
        & n5 != n17
        & n10 = sum(n20,n11)
        & n3 = sum(n14,n10)
        & n15 = sum(n0,n15)
        & n0 != n5
        & n9 != n18
        & n2 != n20
        & n13 = sum(n2,n11)
        & n7 = sum(n5,n2)
        & sum(sum(pred(X37),succ(X37)),sum(pred(X10),succ(X10))) = X27
        & n2 != n13
        & sum(sum(pred(X24),succ(X24)),sum(pred(X38),succ(X38))) = X5
        & sum(sum(pred(X12),succ(X12)),sum(pred(X30),succ(X30))) = X39
        & n6 = sum(n16,n11)
        & n13 != n16
        & n3 != n16
        & n19 = sum(n11,n8)
        & n10 = sum(n16,n15)
        & n3 = sum(n18,n6)
        & n17 = sum(n5,n12)
        & n19 = sum(n7,n12)
        & n11 != n17
        & n4 != n19
        & n1 != n2
        & n10 = sum(n10,n0)
        & sum(sum(pred(X41),succ(X34)),sum(pred(X34),succ(X41))) = X29
        & n12 = sum(n6,n6)
        & n10 = sum(n6,n4)
        & succ(n13) = n14
        & n18 = sum(n5,n13)
        & n19 = sum(n20,n20)
        & n1 != n14
        & n1 = sum(n0,n1)
        & n6 = sum(n1,n5)
        & succ(n0) = n1
        & n8 != n18
        & n5 = sum(n1,n4)
        & n14 = sum(n20,n15)
        & n17 = sum(n13,n4)
        & n19 = sum(n17,n2)
        & n2 = sum(n8,n15)
        & n17 = sum(n16,n1)
        & n2 != n19
        & n17 = sum(n1,n16)
        & n11 = sum(n14,n18)
        & n10 != n20
        & n16 = sum(n2,n14)
        & n14 = sum(n17,n18)
        & n16 = sum(n1,n15)
        & n4 != n10
        & n6 = sum(n15,n12)
        & n18 = sum(n2,n16)
        & n15 = sum(n17,n19)
        & sum(sum(pred(X13),succ(X13)),sum(pred(X35),succ(X35))) = X28
        & n1 != n9
        & n14 = sum(n11,n3)
        & n20 = sum(n19,n1)
        & n6 = sum(n6,n0)
        & n3 != n18
        & n7 = sum(n10,n18)
        & n9 != n13
        & succ(n19) = n20
        & n17 = sum(n6,n11)
        & n16 = sum(n18,n19)
        & n20 = sum(n15,n5)
        & n4 = sum(n12,n13)
        & n13 = sum(n7,n6)
        & n1 = sum(n11,n11)
        & n9 = sum(n1,n8)
        & n14 = sum(n6,n8)
        & n5 != n13
        & n4 = sum(n7,n18)
        & n0 = sum(n7,n14)
        & n13 = sum(n12,n1)
        & n4 = sum(n1,n3)
        & n19 = sum(n16,n3)
        & n0 != n10
        & sum(sum(pred(X24),succ(X38)),sum(pred(X38),succ(X24))) = X2
        & n9 = sum(n12,n18)
        & n7 = sum(n14,n14)
        & n8 != n19
        & n13 = sum(n3,n10)
        & n18 = sum(n16,n2)
        & n8 = sum(n7,n1)
        & succ(n8) = n9
        & n15 = sum(n12,n3)
        & n19 = sum(n0,n19)
        & n13 != n15
        & n9 = sum(n17,n13)
        & n6 = sum(n12,n15)
        & n11 != n12
        & succ(n7) = n8
        & n2 = sum(n4,n19)
        & n6 = sum(n20,n7)
        & n18 = sum(n4,n14)
        & n15 = sum(n10,n5)
        & n13 = sum(n14,n20)
        & n16 != n20
        & n14 = sum(n3,n11)
        & n16 = sum(n15,n1)
        & n18 = sum(n3,n15)
        & sum(sum(pred(X25),succ(X28)),sum(pred(X28),succ(X25))) = X12
        & n0 = sum(n9,n12)
        & n1 = sum(n5,n17)
        & sum(sum(pred(X7),succ(X16)),sum(pred(X16),succ(X7))) = X41
        & n3 = sum(n19,n5)
        & n16 != n18
        & n0 = sum(n14,n7)
        & n10 = sum(n15,n16)
        & n3 != n9
        & sum(sum(pred(X11),succ(X39)),sum(pred(X39),succ(X11))) = X3
        & n15 != n18
        & n9 = sum(n14,n16)
        & n19 = pred(n20)
        & n4 != n14
        & n16 != n19
        & sum(sum(pred(X8),succ(X27)),sum(pred(X27),succ(X8))) = X9
        & n2 = sum(n7,n16)
        & n10 = sum(n17,n14)
        & n13 != n20
        & n16 = sum(n11,n5)
        & n2 != n6
        & n13 != n17
        & n15 = sum(n6,n9)
        & n18 = sum(n9,n9)
        & n16 = sum(n9,n7)
        & n0 = sum(n6,n15)
        & n20 = sum(n11,n9)
        & sum(sum(pred(X17),succ(X17)),sum(pred(X21),succ(X21))) = X4
        & n11 = sum(n13,n19)
        & sum(sum(pred(X41),succ(X41)),sum(pred(X34),succ(X34))) = X1
        & n0 = sum(n12,n9)
        & n15 = sum(n5,n10)
        & n7 != n19
        & n7 != n16
        & n17 = sum(n11,n6)
        & n6 = sum(n2,n4)
        & n4 != n12
        & n10 = pred(n11)
        & n6 = pred(n7)
        & n8 = sum(n4,n4)
        & n0 != n13
        & n6 = sum(n11,n16)
        & n8 != n20
        & n8 = sum(n12,n17)
        & n2 != n16
        & sum(sum(pred(X6),succ(X6)),sum(pred(X20),succ(X20))) = X15
        & n7 = sum(n19,n9)
        & n4 = sum(n2,n2)
        & n2 != n14
        & n9 = sum(n5,n4)
        & n7 = sum(n4,n3)
        & n6 != n17
        & ( X4 != X33
          | X8 != X27
          | X6 != X20
          | X12 != X30
          | X17 != X21
          | X24 != X38
          | X7 != X16
          | X34 != X41
          | X13 != X35
          | X10 != X37
          | X1 != X29
          | X25 != X28
          | X14 != X18
          | X15 != X36
          | X11 != X39
          | X19 != X40
          | X3 != X32
          | X0 != X9
          | X2 != X5
          | X26 != X31 )
        & n3 != n5
        & n0 = sum(n11,n10)
        & n6 != n13
        & n7 != n9
        & n11 = sum(n10,n1)
        & n11 = sum(n9,n2)
        & n0 != n8
        & n9 != n16
        & n4 != n17
        & n18 = sum(n14,n4)
        & n7 = sum(n17,n11)
        & n19 = sum(n10,n9)
        & n14 = sum(n0,n14)
        & n1 = sum(n2,n20)
        & n15 = sum(n20,n16)
        & succ(n1) = n2
        & sum(sum(pred(X18),succ(X14)),sum(pred(X14),succ(X18))) = X17
        & n16 = sum(n17,n20)
        & n10 = sum(n0,n10)
        & n14 = sum(n16,n19)
        & n3 != n15
        & n1 = sum(n14,n8)
        & n11 = sum(n4,n7)
        & n9 != n11
        & n4 = sum(n14,n11)
        & n6 != n10
        & n12 != n19
        & n8 != n15
        & n11 = sum(n17,n15)
        & n0 = sum(n1,n20)
        & n2 = sum(n13,n10)
        & n19 = sum(n18,n1)
        & n9 = sum(n18,n12)
        & n13 = sum(n6,n7)
        & n4 = sum(n18,n7)
        & n17 = pred(n18)
        & n9 != n17
        & n13 = pred(n14)
        & n20 = sum(n18,n2)
        & n9 != n15
        & n8 = sum(n6,n2)
        & n12 = sum(n9,n3)
        & n3 = sum(n4,n20)
        & n18 = sum(n10,n8)
        & n20 = pred(n0)
        & n4 != n15
        & n12 = sum(n8,n4)
        & n14 = sum(n15,n20)
        & n0 != n15
        & n4 = sum(n9,n16)
        & n17 = sum(n9,n8)
        & n12 != n17
        & n4 != n8
        & n3 != n19
        & n3 = sum(n6,n18)
        & n12 = sum(n2,n10)
        & n1 = sum(n15,n7)
        & n20 = sum(n5,n15)
        & n7 = sum(n11,n17)
        & n10 != n11
        & n14 != n17
        & n16 = sum(n14,n2)
        & n6 = sum(n7,n20)
        & n9 = sum(n10,n20)
        & n1 = sum(n1,n0)
        & n8 = sum(n18,n11)
        & n1 != n19
        & n12 = sum(n3,n9)
        & n15 != n20
        & n4 = sum(n5,n20)
        & n6 != n12
        & n12 = sum(n19,n14)
        & n6 != n20
        & n15 = sum(n15,n0)
        & n17 = sum(n17,n0)
        & n5 = sum(n5,n0)
        & n15 = sum(n16,n20)
        & sum(sum(pred(X33),succ(X4)),sum(pred(X4),succ(X33))) = X40
        & n18 = sum(n12,n6)
        & n0 != n6
        & n2 != n12
        & n10 = sum(n5,n5)
        & n7 != n17
        & n14 = pred(n15)
        & n7 = sum(n15,n13)
        & n3 = sum(n2,n1)
        & n14 = sum(n19,n16)
        & n5 = sum(n10,n16)
        & n14 != n15
        & n15 = sum(n3,n12)
        & n2 = sum(n0,n2)
        & n18 = sum(n0,n18)
        & n9 = sum(n16,n14)
        & n19 = sum(n12,n7)
        & n19 = sum(n6,n13)
        & n5 != n18
        & n15 != n17
        & n8 = sum(n17,n12)
        & n3 != n17
        & n16 = sum(n19,n18)
        & n19 != n20
        & n5 = sum(n8,n18)
        & n0 = sum(n16,n5)
        & n4 != n6
        & n5 = sum(n18,n8)
        & n14 = sum(n9,n5)
        & sum(sum(pred(X13),succ(X35)),sum(pred(X35),succ(X13))) = X25
        & n11 = sum(n16,n16)
        & n4 != n20
        & n12 != n16
        & n20 = sum(n17,n3)
        & n13 = sum(n16,n18)
        & n14 = sum(n10,n4)
        & n12 = pred(n13)
        & n17 != n20
        & n2 = sum(n9,n14)
        & n16 = sum(n5,n11)
        & n4 = sum(n16,n9)
        & n10 = sum(n4,n6)
        & n10 != n12
        & n10 != n19
        & n1 = sum(n20,n2)
        & n2 != n5
        & n15 = sum(n13,n2)
        & n19 = sum(n1,n18)
        & n1 != n13
        & n17 = sum(n19,n19)
        & n18 = sum(n15,n3)
        & sum(sum(pred(X22),succ(X22)),sum(pred(X23),succ(X23))) = X38
        & n1 != n7
        & n2 != n18
        & n9 = sum(n7,n2)
        & n5 = sum(n9,n17)
        & n10 != n16
        & n20 = sum(n20,n0)
        & n6 = sum(n13,n14)
        & n9 = sum(n11,n19)
        & n1 = sum(n6,n16)
        & n16 = sum(n3,n13)
        & n0 = sum(n15,n6)
        & n16 = sum(n20,n17)
        & n5 = sum(n14,n12)
        & n20 = sum(n3,n17)
        & n5 != n16
        & succ(n15) = n16
        & n4 = sum(n17,n8)
        & n5 != n8
        & n10 = sum(n9,n1)
        & ( n0 = X23
          | n17 = X23
          | n4 = X23
          | n14 = X23
          | n10 = X23
          | n2 = X23
          | n20 = X23
          | n19 = X23
          | n1 = X23
          | n18 = X23
          | n8 = X23
          | n11 = X23
          | n7 = X23
          | n15 = X23
          | n12 = X23
          | n13 = X23
          | n6 = X23
          | n16 = X23
          | n5 = X23
          | n9 = X23
          | n3 = X23 )
        & n10 = sum(n1,n9)
        & n9 = pred(n10)
        & n12 = sum(n17,n16)
        & n0 = sum(n10,n11)
        & n3 = pred(n4)
        & n2 = sum(n20,n3)
        & n0 != n7
        & n9 = sum(n3,n6)
        & n10 = sum(n8,n2)
        & n10 = sum(n14,n17)
        & n18 = sum(n7,n11)
        & n5 != n6
        & n5 = sum(n6,n20)
        & n3 = sum(n17,n7)
        & n9 = sum(n4,n5)
        & n13 = sum(n5,n8)
        & n15 = sum(n11,n4)
        & n18 != n19
        & n2 != n15
        & n1 = sum(n10,n12)
        & n10 = sum(n3,n7)
        & n14 != n19
        & n2 = sum(n10,n13)
        & n6 != n19
        & succ(n2) = n3
        & n0 = sum(n5,n16)
        & n9 != n14
        & n11 = sum(n3,n8)
        & n14 != n18
        & n16 = sum(n12,n4)
        & n15 != n16
        & n1 != n20
        & n13 = sum(n4,n9)
        & n13 = sum(n17,n17)
        & n12 = sum(n10,n2)
        & n11 = sum(n7,n4)
        & sum(sum(pred(X3),succ(X32)),sum(pred(X32),succ(X3))) = X37
        & n18 = sum(n8,n10)
        & n8 = sum(n11,n18)
        & n1 != n15
        & n12 = sum(n18,n15)
        & n0 != n3
        & n20 = sum(n13,n7)
        & n1 = sum(n9,n13)
        & n1 = pred(n2)
        & n9 = sum(n20,n10)
        & n0 != n17
        & n6 = sum(n8,n19)
        & n0 = sum(n19,n2)
        & n3 = sum(n12,n12)
        & n10 != n14
        & n8 = sum(n0,n8)
        & n8 = sum(n1,n7)
        & n15 = sum(n4,n11)
        & n13 = sum(n20,n14)
        & n8 = sum(n9,n20)
        & n12 != n13
        & n13 = sum(n0,n13)
        & n7 != n11
        & n11 = sum(n12,n20)
        & n11 = sum(n19,n13)
        & n7 = sum(n12,n16)
        & n17 = sum(n18,n20)
        & n0 != n19
        & n5 != n19
        & n5 = sum(n13,n13)
        & n9 = sum(n0,n9)
        & n0 = sum(n17,n4)
        & n5 = sum(n19,n7)
        & n18 = sum(n11,n7)
        & n6 != n7
        & n8 = sum(n2,n6)
        & n1 != n18
        & n6 != n9
        & n0 != n16
        & sum(sum(pred(X2),succ(X5)),sum(pred(X5),succ(X2))) = X18
        & n1 != n4
        & n4 = pred(n5)
        & n7 != n20
        & n16 = sum(n13,n3)
        & n1 != n16
        & n7 != n12
        & n20 = sum(n16,n4)
        & n18 = sum(n19,n20)
        & n5 = sum(n7,n19)
        & n13 = sum(n10,n3)
        & n6 = sum(n5,n1)
        & n7 != n18
        & n5 = sum(n12,n14)
        & n3 != n13
        & n8 = sum(n13,n16)
        & n0 = sum(n2,n19)
        & n0 != n11
        & n1 != n5
        & n6 = sum(n14,n13)
        & n8 = sum(n3,n5)
        & n2 != n8
        & n1 != n3
        & n18 = sum(n18,n0)
        & n4 = sum(n11,n14)
        & n2 = sum(n14,n9)
        & n1 = sum(n4,n18)
        & n10 != n18
        & n17 = sum(n4,n13)
        & n7 = sum(n20,n8)
        & n11 = sum(n20,n12)
        & n13 = sum(n19,n15)
        & n0 != n18
        & sum(sum(pred(X36),succ(X36)),sum(pred(X15),succ(X15))) = X26
        & n10 = sum(n11,n20)
        & n17 = sum(n3,n14)
        & n4 = sum(n15,n10)
        & n9 != n20
        & succ(n6) = n7
        & n0 = sum(n3,n18)
        & n6 = sum(n3,n3)
        & n20 = sum(n2,n18)
        & n4 != n7
        & n19 = sum(n15,n4)
        & sum(sum(pred(X25),succ(X25)),sum(pred(X28),succ(X28))) = X30
        & n0 != n20
        & sum(sum(pred(X6),succ(X20)),sum(pred(X20),succ(X6))) = X36
        & succ(n17) = n18
        & n9 = sum(n19,n11)
        & n13 = sum(n18,n16)
        & n9 = sum(n13,n17)
        & n5 = sum(n16,n10)
        & n11 = sum(n15,n17)
        & n3 = sum(n3,n0)
        & n3 != n20
        & n12 = sum(n20,n13)
        & n13 = sum(n1,n12)
        & succ(n4) = n5
        & n7 = sum(n13,n15)
        & n11 != n20
        & sum(sum(pred(X40),succ(X19)),sum(pred(X19),succ(X40))) = X7
        & n6 != n11
        & n20 = sum(n14,n6)
        & sum(sum(pred(X17),succ(X21)),sum(pred(X21),succ(X17))) = X33
        & n16 = sum(n6,n10)
        & n4 = sum(n6,n19)
        & sum(sum(pred(X7),succ(X7)),sum(pred(X16),succ(X16))) = X34
        & n12 = sum(n11,n1)
        & n11 = sum(n0,n11)
        & n7 = sum(n2,n5)
        & n12 = sum(n14,n19)
        & n15 = sum(n2,n13)
        & n6 = sum(n4,n2)
        & n0 != n1
        & n2 != n3
        & n20 = sum(n4,n16) )
   => ( n9 = sum(n6,n3)
      & n16 != n17
      & n8 != n17
      & n8 != n10
      & n18 = pred(n19)
      & n13 != n14
      & n11 != n15
      & n7 != n10
      & n6 = sum(n17,n10)
      & n0 != n12
      & n3 = sum(n16,n8)
      & n11 = sum(n8,n3)
      & sum(sum(pred(sK29),succ(sK29)),sum(pred(sK1),succ(sK1))) = sK20
      & n12 != n20
      & n13 != n18
      & n16 = sum(n0,n16)
      & sK10 = sum(sum(pred(sK3),succ(sK3)),sum(pred(sK32),succ(sK32)))
      & n3 != n7
      & n17 != n19
      & n7 = sum(n7,n0)
      & n20 = sum(n9,n11)
      & n1 = sum(n18,n4)
      & n12 = sum(n15,n18)
      & n20 = sum(n0,n20)
      & n2 = sum(n17,n6)
      & n15 = pred(n16)
      & n18 = sum(n13,n5)
      & n16 = sum(n7,n9)
      & n12 = sum(n1,n11)
      & n13 = sum(n8,n5)
      & n12 = sum(n4,n8)
      & n10 != n13
      & ( n18 = sK22
        | n17 = sK22
        | n7 = sK22
        | n19 = sK22
        | n6 = sK22
        | n8 = sK22
        | n14 = sK22
        | n11 = sK22
        | n16 = sK22
        | n2 = sK22
        | n4 = sK22
        | n15 = sK22
        | n0 = sK22
        | n13 = sK22
        | n12 = sK22
        | n20 = sK22
        | n10 = sK22
        | n3 = sK22
        | n9 = sK22
        | n1 = sK22
        | n5 = sK22 )
      & n5 != n11
      & n11 != n14
      & n18 = sum(n1,n17)
      & n15 = sum(n8,n7)
      & n4 = sum(n8,n17)
      & n9 != n10
      & sK14 = sum(sum(pred(sK2),succ(sK2)),sum(pred(sK5),succ(sK5)))
      & n19 = sum(n2,n17)
      & n17 = sum(n12,n5)
      & n11 != n13
      & n0 != n2
      & n7 = sum(n18,n10)
      & n7 = pred(n8)
      & n1 = sum(n7,n15)
      & n8 = pred(n9)
      & n1 = sum(n16,n6)
      & n17 = sum(n7,n10)
      & sum(sum(pred(sK31),succ(sK31)),sum(pred(sK26),succ(sK26))) = sK35
      & n6 != n16
      & n2 != n10
      & n3 != n14
      & n20 = sum(n10,n10)
      & n1 != n6
      & n19 = sum(n3,n16)
      & n15 = sum(n7,n8)
      & n2 = sum(n16,n7)
      & n13 = sum(n13,n0)
      & n13 != n19
      & n12 = sum(n13,n20)
      & succ(n18) = n19
      & n17 != n18
      & n20 = sum(n6,n14)
      & n8 != n16
      & n0 = sum(n18,n3)
      & succ(n11) = n12
      & n12 = sum(n5,n7)
      & n4 != n11
      & sum(sum(pred(sK36),succ(sK15)),sum(pred(sK15),succ(sK36))) = sK31
      & n4 != n16
      & n10 = sum(n18,n13)
      & n1 = sum(n3,n19)
      & n13 = sum(n15,n19)
      & n12 = sum(n12,n0)
      & n2 = sum(n1,n1)
      & n20 = sum(n12,n8)
      & n2 = sum(n18,n5)
      & n6 = sum(n10,n17)
      & n2 != n7
      & n8 = sum(n5,n3)
      & sK11 = sum(sum(pred(sK12),succ(sK30)),sum(pred(sK30),succ(sK12)))
      & n6 != n8
      & n0 = pred(n1)
      & n14 = sum(n18,n17)
      & n2 = sum(n12,n11)
      & n16 = sum(n8,n8)
      & n8 != n12
      & sK8 = sum(sum(pred(sK37),succ(sK10)),sum(pred(sK10),succ(sK37)))
      & n6 = sum(n18,n9)
      & n6 = sum(n0,n6)
      & n12 != n18
      & n3 = sum(n0,n3)
      & n7 != n8
      & n7 = sum(n1,n6)
      & n2 != n4
      & sum(sum(pred(sK22),succ(sK23)),sum(pred(sK23),succ(sK22))) = sK24
      & n4 = sum(n4,n0)
      & n2 = sum(n19,n4)
      & n5 != n14
      & n5 != n9
      & n2 = pred(n3)
      & n3 != n11
      & n8 = sum(n19,n10)
      & n0 = sum(n0,n0)
      & n14 = sum(n13,n1)
      & n11 = sum(n5,n6)
      & n5 != n12
      & n0 != n14
      & n6 != n15
      & n9 != n19
      & n10 = sum(n2,n8)
      & sum(sum(pred(sK11),succ(sK11)),sum(pred(sK39),succ(sK39))) = sK32
      & n4 = sum(n3,n1)
      & n19 = sum(n8,n11)
      & n14 = sum(n8,n6)
      & n3 != n4
      & n0 = sum(n8,n13)
      & n15 = sum(n9,n6)
      & n4 != n5
      & n12 = sum(n16,n17)
      & n10 != n17
      & n14 != n20
      & n17 = sum(n2,n15)
      & n13 = sum(n9,n4)
      & n8 != n13
      & n10 = sum(n13,n18)
      & n7 = sum(n3,n4)
      & n8 = sum(n8,n0)
      & n19 = sum(n9,n10)
      & n19 = sum(n5,n14)
      & n18 = sum(n17,n1)
      & n14 = sum(n7,n7)
      & n8 = sum(n10,n19)
      & n1 = sum(n12,n10)
      & n2 = sum(n3,n20)
      & n8 = sum(n15,n14)
      & succ(n3) = n4
      & n5 = sum(n4,n1)
      & n2 = sum(n2,n0)
      & n2 = sum(n11,n12)
      & sum(sum(pred(sK33),succ(sK33)),sum(pred(sK4),succ(sK4))) = sK19
      & n7 = sum(n0,n7)
      & n19 = sum(n14,n5)
      & n18 = sum(n6,n12)
      & n2 != n11
      & n5 = sum(n20,n6)
      & n3 = sum(n11,n13)
      & n9 = sum(n2,n7)
      & n14 = sum(n4,n10)
      & succ(n14) = n15
      & n11 != n16
      & n10 != n15
      & n11 = pred(n12)
      & n11 = sum(n11,n0)
      & n12 != n15
      & n5 != n15
      & n4 = sum(n10,n15)
      & n4 != n18
      & n18 != n20
      & n8 != n14
      & n3 = sum(n20,n4)
      & n1 = sum(n8,n14)
      & n19 = sum(n4,n15)
      & n18 = sum(n20,n19)
      & n9 != n12
      & n20 = sum(n7,n13)
      & n4 != n9
      & n17 = sum(n0,n17)
      & n0 = sum(n4,n17)
      & n4 = sum(n0,n4)
      & n14 = sum(n12,n2)
      & n1 != n12
      & n11 = sum(n2,n9)
      & n6 = sum(n9,n18)
      & n5 != n20
      & n9 = sum(n9,n0)
      & n5 = sum(n17,n9)
      & n10 = sum(n7,n3)
      & n0 != n9
      & n8 != n9
      & n3 = sum(n5,n19)
      & n15 != n19
      & n3 != n12
      & sum(sum(pred(sK40),succ(sK40)),sum(pred(sK19),succ(sK19))) = sK16
      & n8 = sum(n20,n9)
      & n0 != n4
      & n8 = sum(n16,n13)
      & n5 = pred(n6)
      & sum(sum(pred(sK31),succ(sK26)),sum(pred(sK26),succ(sK31))) = sK13
      & n7 != n13
      & n15 = sum(n1,n14)
      & n7 = sum(n6,n1)
      & n12 = sum(n7,n5)
      & n2 = sum(n6,n17)
      & succ(n16) = n17
      & n15 = sum(n18,n18)
      & n8 = sum(n14,n15)
      & n14 = sum(n2,n12)
      & n6 = sum(n19,n8)
      & sK21 = sum(sum(pred(sK18),succ(sK18)),sum(pred(sK14),succ(sK14)))
      & n2 = sum(n5,n18)
      & n3 != n6
      & n0 = succ(n20)
      & n3 != n10
      & succ(n5) = n6
      & n11 != n18
      & n5 = sum(n11,n15)
      & n7 = sum(n8,n20)
      & n17 = sum(n20,n18)
      & n20 = sum(n8,n12)
      & n4 = sum(n19,n6)
      & n8 != n11
      & n3 = sum(n15,n9)
      & n5 = sum(n2,n3)
      & n10 = sum(n12,n19)
      & n6 != n18
      & succ(n10) = n11
      & n16 = sum(n16,n0)
      & succ(n9) = n10
      & n3 = sum(n7,n17)
      & n10 = sum(n19,n12)
      & n14 = sum(n5,n9)
      & n19 = sum(n13,n6)
      & n9 = sum(n15,n15)
      & n7 = sum(n16,n12)
      & n4 = sum(n20,n5)
      & n3 = sum(n10,n14)
      & n1 = sum(n17,n5)
      & n17 = sum(n10,n7)
      & n5 != n10
      & n4 != n13
      & n17 = sum(n15,n2)
      & n5 = sum(n3,n2)
      & n14 != n16
      & n1 = sum(n13,n9)
      & n11 = sum(n6,n5)
      & n2 != n17
      & n7 = sum(n9,n19)
      & n0 = sum(n13,n8)
      & n3 != n8
      & n12 != n14
      & n3 = sum(n13,n11)
      & n1 != n11
      & n3 = sum(n1,n2)
      & n16 = pred(n17)
      & n6 != n14
      & n1 != n10
      & n7 != n14
      & n14 = sum(n1,n13)
      & n12 = sum(n0,n12)
      & n3 = sum(n9,n15)
      & n1 != n17
      & n0 = sum(n20,n1)
      & n9 = sum(n8,n1)
      & n15 = sum(n14,n1)
      & sum(sum(pred(sK29),succ(sK1)),sum(pred(sK1),succ(sK29))) = sK6
      & n11 = sum(n18,n14)
      & n3 = sum(n8,n16)
      & n13 = sum(n11,n2)
      & n5 != n7
      & n16 = sum(n4,n12)
      & n1 = sum(n19,n3)
      & n15 = sum(n19,n17)
      & n14 = sum(n14,n0)
      & n16 = sum(n10,n6)
      & n4 = sum(n13,n12)
      & n11 != n19
      & n2 != n9
      & n19 = sum(n19,n0)
      & n5 = sum(n0,n5)
      & n17 = sum(n14,n3)
      & sum(sum(pred(sK8),succ(sK8)),sum(pred(sK27),succ(sK27))) = sK0
      & n11 = sum(n1,n10)
      & n17 = sum(n8,n9)
      & n2 = sum(n15,n8)
      & succ(n12) = n13
      & n7 != n15
      & n5 = sum(n15,n11)
      & n1 != n8
      & n20 = sum(n1,n19)
      & n5 != n17
      & n10 = sum(n20,n11)
      & n3 = sum(n14,n10)
      & n15 = sum(n0,n15)
      & n0 != n5
      & n9 != n18
      & n2 != n20
      & n13 = sum(n2,n11)
      & n7 = sum(n5,n2)
      & sK27 = sum(sum(pred(sK37),succ(sK37)),sum(pred(sK10),succ(sK10)))
      & n2 != n13
      & sum(sum(pred(sK24),succ(sK24)),sum(pred(sK38),succ(sK38))) = sK5
      & sK39 = sum(sum(pred(sK12),succ(sK12)),sum(pred(sK30),succ(sK30)))
      & n6 = sum(n16,n11)
      & n13 != n16
      & n3 != n16
      & n19 = sum(n11,n8)
      & n10 = sum(n16,n15)
      & n3 = sum(n18,n6)
      & n17 = sum(n5,n12)
      & n19 = sum(n7,n12)
      & n11 != n17
      & n4 != n19
      & n1 != n2
      & n10 = sum(n10,n0)
      & sum(sum(pred(sK41),succ(sK34)),sum(pred(sK34),succ(sK41))) = sK29
      & n12 = sum(n6,n6)
      & n10 = sum(n6,n4)
      & succ(n13) = n14
      & n18 = sum(n5,n13)
      & n19 = sum(n20,n20)
      & n1 != n14
      & n1 = sum(n0,n1)
      & n6 = sum(n1,n5)
      & succ(n0) = n1
      & n8 != n18
      & n5 = sum(n1,n4)
      & n14 = sum(n20,n15)
      & n17 = sum(n13,n4)
      & n19 = sum(n17,n2)
      & n2 = sum(n8,n15)
      & n17 = sum(n16,n1)
      & n2 != n19
      & n17 = sum(n1,n16)
      & n11 = sum(n14,n18)
      & n10 != n20
      & n16 = sum(n2,n14)
      & n14 = sum(n17,n18)
      & n16 = sum(n1,n15)
      & n4 != n10
      & n6 = sum(n15,n12)
      & n18 = sum(n2,n16)
      & n15 = sum(n17,n19)
      & sum(sum(pred(sK13),succ(sK13)),sum(pred(sK35),succ(sK35))) = sK28
      & n1 != n9
      & n14 = sum(n11,n3)
      & n20 = sum(n19,n1)
      & n6 = sum(n6,n0)
      & n3 != n18
      & n7 = sum(n10,n18)
      & n9 != n13
      & succ(n19) = n20
      & n17 = sum(n6,n11)
      & n16 = sum(n18,n19)
      & n20 = sum(n15,n5)
      & n4 = sum(n12,n13)
      & n13 = sum(n7,n6)
      & n1 = sum(n11,n11)
      & n9 = sum(n1,n8)
      & n14 = sum(n6,n8)
      & n5 != n13
      & n4 = sum(n7,n18)
      & n0 = sum(n7,n14)
      & n13 = sum(n12,n1)
      & n4 = sum(n1,n3)
      & n19 = sum(n16,n3)
      & n0 != n10
      & sK2 = sum(sum(pred(sK24),succ(sK38)),sum(pred(sK38),succ(sK24)))
      & n9 = sum(n12,n18)
      & n7 = sum(n14,n14)
      & n8 != n19
      & n13 = sum(n3,n10)
      & n18 = sum(n16,n2)
      & n8 = sum(n7,n1)
      & succ(n8) = n9
      & n15 = sum(n12,n3)
      & n19 = sum(n0,n19)
      & n13 != n15
      & n9 = sum(n17,n13)
      & n6 = sum(n12,n15)
      & n11 != n12
      & succ(n7) = n8
      & n2 = sum(n4,n19)
      & n6 = sum(n20,n7)
      & n18 = sum(n4,n14)
      & n15 = sum(n10,n5)
      & n13 = sum(n14,n20)
      & n16 != n20
      & n14 = sum(n3,n11)
      & n16 = sum(n15,n1)
      & n18 = sum(n3,n15)
      & sum(sum(pred(sK25),succ(sK28)),sum(pred(sK28),succ(sK25))) = sK12
      & n0 = sum(n9,n12)
      & n1 = sum(n5,n17)
      & sum(sum(pred(sK7),succ(sK16)),sum(pred(sK16),succ(sK7))) = sK41
      & n3 = sum(n19,n5)
      & n16 != n18
      & n0 = sum(n14,n7)
      & n10 = sum(n15,n16)
      & n3 != n9
      & sum(sum(pred(sK11),succ(sK39)),sum(pred(sK39),succ(sK11))) = sK3
      & n15 != n18
      & n9 = sum(n14,n16)
      & n19 = pred(n20)
      & n4 != n14
      & n16 != n19
      & sum(sum(pred(sK8),succ(sK27)),sum(pred(sK27),succ(sK8))) = sK9
      & n2 = sum(n7,n16)
      & n10 = sum(n17,n14)
      & n13 != n20
      & n16 = sum(n11,n5)
      & n2 != n6
      & n13 != n17
      & n15 = sum(n6,n9)
      & n18 = sum(n9,n9)
      & n16 = sum(n9,n7)
      & n0 = sum(n6,n15)
      & n20 = sum(n11,n9)
      & sK4 = sum(sum(pred(sK17),succ(sK17)),sum(pred(sK21),succ(sK21)))
      & n11 = sum(n13,n19)
      & sK1 = sum(sum(pred(sK41),succ(sK41)),sum(pred(sK34),succ(sK34)))
      & n0 = sum(n12,n9)
      & n15 = sum(n5,n10)
      & n7 != n19
      & n7 != n16
      & n17 = sum(n11,n6)
      & n6 = sum(n2,n4)
      & n4 != n12
      & n10 = pred(n11)
      & n6 = pred(n7)
      & n8 = sum(n4,n4)
      & n0 != n13
      & n6 = sum(n11,n16)
      & n8 != n20
      & n8 = sum(n12,n17)
      & n2 != n16
      & sum(sum(pred(sK6),succ(sK6)),sum(pred(sK20),succ(sK20))) = sK15
      & n7 = sum(n19,n9)
      & n4 = sum(n2,n2)
      & n2 != n14
      & n9 = sum(n5,n4)
      & n7 = sum(n4,n3)
      & n6 != n17
      & ( sK4 != sK33
        | sK27 != sK8
        | sK20 != sK6
        | sK12 != sK30
        | sK21 != sK17
        | sK38 != sK24
        | sK7 != sK16
        | sK34 != sK41
        | sK35 != sK13
        | sK37 != sK10
        | sK1 != sK29
        | sK28 != sK25
        | sK14 != sK18
        | sK36 != sK15
        | sK39 != sK11
        | sK19 != sK40
        | sK32 != sK3
        | sK0 != sK9
        | sK2 != sK5
        | sK26 != sK31 )
      & n3 != n5
      & n0 = sum(n11,n10)
      & n6 != n13
      & n7 != n9
      & n11 = sum(n10,n1)
      & n11 = sum(n9,n2)
      & n0 != n8
      & n9 != n16
      & n4 != n17
      & n18 = sum(n14,n4)
      & n7 = sum(n17,n11)
      & n19 = sum(n10,n9)
      & n14 = sum(n0,n14)
      & n1 = sum(n2,n20)
      & n15 = sum(n20,n16)
      & succ(n1) = n2
      & sK17 = sum(sum(pred(sK18),succ(sK14)),sum(pred(sK14),succ(sK18)))
      & n16 = sum(n17,n20)
      & n10 = sum(n0,n10)
      & n14 = sum(n16,n19)
      & n3 != n15
      & n1 = sum(n14,n8)
      & n11 = sum(n4,n7)
      & n9 != n11
      & n4 = sum(n14,n11)
      & n6 != n10
      & n12 != n19
      & n8 != n15
      & n11 = sum(n17,n15)
      & n0 = sum(n1,n20)
      & n2 = sum(n13,n10)
      & n19 = sum(n18,n1)
      & n9 = sum(n18,n12)
      & n13 = sum(n6,n7)
      & n4 = sum(n18,n7)
      & n17 = pred(n18)
      & n9 != n17
      & n13 = pred(n14)
      & n20 = sum(n18,n2)
      & n9 != n15
      & n8 = sum(n6,n2)
      & n12 = sum(n9,n3)
      & n3 = sum(n4,n20)
      & n18 = sum(n10,n8)
      & n20 = pred(n0)
      & n4 != n15
      & n12 = sum(n8,n4)
      & n14 = sum(n15,n20)
      & n0 != n15
      & n4 = sum(n9,n16)
      & n17 = sum(n9,n8)
      & n12 != n17
      & n4 != n8
      & n3 != n19
      & n3 = sum(n6,n18)
      & n12 = sum(n2,n10)
      & n1 = sum(n15,n7)
      & n20 = sum(n5,n15)
      & n7 = sum(n11,n17)
      & n10 != n11
      & n14 != n17
      & n16 = sum(n14,n2)
      & n6 = sum(n7,n20)
      & n9 = sum(n10,n20)
      & n1 = sum(n1,n0)
      & n8 = sum(n18,n11)
      & n1 != n19
      & n12 = sum(n3,n9)
      & n15 != n20
      & n4 = sum(n5,n20)
      & n6 != n12
      & n12 = sum(n19,n14)
      & n6 != n20
      & n15 = sum(n15,n0)
      & n17 = sum(n17,n0)
      & n5 = sum(n5,n0)
      & n15 = sum(n16,n20)
      & sum(sum(pred(sK33),succ(sK4)),sum(pred(sK4),succ(sK33))) = sK40
      & n18 = sum(n12,n6)
      & n0 != n6
      & n2 != n12
      & n10 = sum(n5,n5)
      & n7 != n17
      & n14 = pred(n15)
      & n7 = sum(n15,n13)
      & n3 = sum(n2,n1)
      & n14 = sum(n19,n16)
      & n5 = sum(n10,n16)
      & n14 != n15
      & n15 = sum(n3,n12)
      & n2 = sum(n0,n2)
      & n18 = sum(n0,n18)
      & n9 = sum(n16,n14)
      & n19 = sum(n12,n7)
      & n19 = sum(n6,n13)
      & n5 != n18
      & n15 != n17
      & n8 = sum(n17,n12)
      & n3 != n17
      & n16 = sum(n19,n18)
      & n19 != n20
      & n5 = sum(n8,n18)
      & n0 = sum(n16,n5)
      & n4 != n6
      & n5 = sum(n18,n8)
      & n14 = sum(n9,n5)
      & sum(sum(pred(sK13),succ(sK35)),sum(pred(sK35),succ(sK13))) = sK25
      & n11 = sum(n16,n16)
      & n4 != n20
      & n12 != n16
      & n20 = sum(n17,n3)
      & n13 = sum(n16,n18)
      & n14 = sum(n10,n4)
      & n12 = pred(n13)
      & n17 != n20
      & n2 = sum(n9,n14)
      & n16 = sum(n5,n11)
      & n4 = sum(n16,n9)
      & n10 = sum(n4,n6)
      & n10 != n12
      & n10 != n19
      & n1 = sum(n20,n2)
      & n2 != n5
      & n15 = sum(n13,n2)
      & n19 = sum(n1,n18)
      & n1 != n13
      & n17 = sum(n19,n19)
      & n18 = sum(n15,n3)
      & sK38 = sum(sum(pred(sK22),succ(sK22)),sum(pred(sK23),succ(sK23)))
      & n1 != n7
      & n2 != n18
      & n9 = sum(n7,n2)
      & n5 = sum(n9,n17)
      & n10 != n16
      & n20 = sum(n20,n0)
      & n6 = sum(n13,n14)
      & n9 = sum(n11,n19)
      & n1 = sum(n6,n16)
      & n16 = sum(n3,n13)
      & n0 = sum(n15,n6)
      & n16 = sum(n20,n17)
      & n5 = sum(n14,n12)
      & n20 = sum(n3,n17)
      & n5 != n16
      & succ(n15) = n16
      & n4 = sum(n17,n8)
      & n5 != n8
      & n10 = sum(n9,n1)
      & ( n0 = sK23
        | n17 = sK23
        | n4 = sK23
        | n14 = sK23
        | n10 = sK23
        | n2 = sK23
        | n20 = sK23
        | n19 = sK23
        | n1 = sK23
        | n18 = sK23
        | n8 = sK23
        | n11 = sK23
        | n7 = sK23
        | n15 = sK23
        | n12 = sK23
        | n13 = sK23
        | n6 = sK23
        | n16 = sK23
        | n5 = sK23
        | n9 = sK23
        | n3 = sK23 )
      & n10 = sum(n1,n9)
      & n9 = pred(n10)
      & n12 = sum(n17,n16)
      & n0 = sum(n10,n11)
      & n3 = pred(n4)
      & n2 = sum(n20,n3)
      & n0 != n7
      & n9 = sum(n3,n6)
      & n10 = sum(n8,n2)
      & n10 = sum(n14,n17)
      & n18 = sum(n7,n11)
      & n5 != n6
      & n5 = sum(n6,n20)
      & n3 = sum(n17,n7)
      & n9 = sum(n4,n5)
      & n13 = sum(n5,n8)
      & n15 = sum(n11,n4)
      & n18 != n19
      & n2 != n15
      & n1 = sum(n10,n12)
      & n10 = sum(n3,n7)
      & n14 != n19
      & n2 = sum(n10,n13)
      & n6 != n19
      & succ(n2) = n3
      & n0 = sum(n5,n16)
      & n9 != n14
      & n11 = sum(n3,n8)
      & n14 != n18
      & n16 = sum(n12,n4)
      & n15 != n16
      & n1 != n20
      & n13 = sum(n4,n9)
      & n13 = sum(n17,n17)
      & n12 = sum(n10,n2)
      & n11 = sum(n7,n4)
      & sK37 = sum(sum(pred(sK3),succ(sK32)),sum(pred(sK32),succ(sK3)))
      & n18 = sum(n8,n10)
      & n8 = sum(n11,n18)
      & n1 != n15
      & n12 = sum(n18,n15)
      & n0 != n3
      & n20 = sum(n13,n7)
      & n1 = sum(n9,n13)
      & n1 = pred(n2)
      & n9 = sum(n20,n10)
      & n0 != n17
      & n6 = sum(n8,n19)
      & n0 = sum(n19,n2)
      & n3 = sum(n12,n12)
      & n10 != n14
      & n8 = sum(n0,n8)
      & n8 = sum(n1,n7)
      & n15 = sum(n4,n11)
      & n13 = sum(n20,n14)
      & n8 = sum(n9,n20)
      & n12 != n13
      & n13 = sum(n0,n13)
      & n7 != n11
      & n11 = sum(n12,n20)
      & n11 = sum(n19,n13)
      & n7 = sum(n12,n16)
      & n17 = sum(n18,n20)
      & n0 != n19
      & n5 != n19
      & n5 = sum(n13,n13)
      & n9 = sum(n0,n9)
      & n0 = sum(n17,n4)
      & n5 = sum(n19,n7)
      & n18 = sum(n11,n7)
      & n6 != n7
      & n8 = sum(n2,n6)
      & n1 != n18
      & n6 != n9
      & n0 != n16
      & sum(sum(pred(sK2),succ(sK5)),sum(pred(sK5),succ(sK2))) = sK18
      & n1 != n4
      & n4 = pred(n5)
      & n7 != n20
      & n16 = sum(n13,n3)
      & n1 != n16
      & n7 != n12
      & n20 = sum(n16,n4)
      & n18 = sum(n19,n20)
      & n5 = sum(n7,n19)
      & n13 = sum(n10,n3)
      & n6 = sum(n5,n1)
      & n7 != n18
      & n5 = sum(n12,n14)
      & n3 != n13
      & n8 = sum(n13,n16)
      & n0 = sum(n2,n19)
      & n0 != n11
      & n1 != n5
      & n6 = sum(n14,n13)
      & n8 = sum(n3,n5)
      & n2 != n8
      & n1 != n3
      & n18 = sum(n18,n0)
      & n4 = sum(n11,n14)
      & n2 = sum(n14,n9)
      & n1 = sum(n4,n18)
      & n10 != n18
      & n17 = sum(n4,n13)
      & n7 = sum(n20,n8)
      & n11 = sum(n20,n12)
      & n13 = sum(n19,n15)
      & n0 != n18
      & sK26 = sum(sum(pred(sK36),succ(sK36)),sum(pred(sK15),succ(sK15)))
      & n10 = sum(n11,n20)
      & n17 = sum(n3,n14)
      & n4 = sum(n15,n10)
      & n9 != n20
      & succ(n6) = n7
      & n0 = sum(n3,n18)
      & n6 = sum(n3,n3)
      & n20 = sum(n2,n18)
      & n4 != n7
      & n19 = sum(n15,n4)
      & sum(sum(pred(sK25),succ(sK25)),sum(pred(sK28),succ(sK28))) = sK30
      & n0 != n20
      & sK36 = sum(sum(pred(sK6),succ(sK20)),sum(pred(sK20),succ(sK6)))
      & succ(n17) = n18
      & n9 = sum(n19,n11)
      & n13 = sum(n18,n16)
      & n9 = sum(n13,n17)
      & n5 = sum(n16,n10)
      & n11 = sum(n15,n17)
      & n3 = sum(n3,n0)
      & n3 != n20
      & n12 = sum(n20,n13)
      & n13 = sum(n1,n12)
      & succ(n4) = n5
      & n7 = sum(n13,n15)
      & n11 != n20
      & sK7 = sum(sum(pred(sK40),succ(sK19)),sum(pred(sK19),succ(sK40)))
      & n6 != n11
      & n20 = sum(n14,n6)
      & sum(sum(pred(sK17),succ(sK21)),sum(pred(sK21),succ(sK17))) = sK33
      & n16 = sum(n6,n10)
      & n4 = sum(n6,n19)
      & sK34 = sum(sum(pred(sK7),succ(sK7)),sum(pred(sK16),succ(sK16)))
      & n12 = sum(n11,n1)
      & n11 = sum(n0,n11)
      & n7 = sum(n2,n5)
      & n12 = sum(n14,n19)
      & n15 = sum(n2,n13)
      & n6 = sum(n4,n2)
      & n0 != n1
      & n2 != n3
      & n20 = sum(n4,n16) ) ),
    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] :
      ( n9 = sum(n6,n3)
      & n16 != n17
      & n8 != n17
      & n8 != n10
      & n18 = pred(n19)
      & n13 != n14
      & n11 != n15
      & n7 != n10
      & n6 = sum(n17,n10)
      & n0 != n12
      & n3 = sum(n16,n8)
      & n11 = sum(n8,n3)
      & sum(sum(pred(X29),succ(X29)),sum(pred(X1),succ(X1))) = X20
      & n12 != n20
      & n13 != n18
      & n16 = sum(n0,n16)
      & sum(sum(pred(X3),succ(X3)),sum(pred(X32),succ(X32))) = X10
      & n3 != n7
      & n17 != n19
      & n7 = sum(n7,n0)
      & n20 = sum(n9,n11)
      & n1 = sum(n18,n4)
      & n12 = sum(n15,n18)
      & n20 = sum(n0,n20)
      & n2 = sum(n17,n6)
      & n15 = pred(n16)
      & n18 = sum(n13,n5)
      & n16 = sum(n7,n9)
      & n12 = sum(n1,n11)
      & n13 = sum(n8,n5)
      & n12 = sum(n4,n8)
      & n10 != n13
      & ( n18 = X22
        | n17 = X22
        | n7 = X22
        | n19 = X22
        | n6 = X22
        | n8 = X22
        | n14 = X22
        | n11 = X22
        | n16 = X22
        | n2 = X22
        | n4 = X22
        | n15 = X22
        | n0 = X22
        | n13 = X22
        | n12 = X22
        | n20 = X22
        | n10 = X22
        | n3 = X22
        | n9 = X22
        | n1 = X22
        | n5 = X22 )
      & n5 != n11
      & n11 != n14
      & n18 = sum(n1,n17)
      & n15 = sum(n8,n7)
      & n4 = sum(n8,n17)
      & n9 != n10
      & sum(sum(pred(X2),succ(X2)),sum(pred(X5),succ(X5))) = X14
      & n19 = sum(n2,n17)
      & n17 = sum(n12,n5)
      & n11 != n13
      & n0 != n2
      & n7 = sum(n18,n10)
      & n7 = pred(n8)
      & n1 = sum(n7,n15)
      & n8 = pred(n9)
      & n1 = sum(n16,n6)
      & n17 = sum(n7,n10)
      & sum(sum(pred(X31),succ(X31)),sum(pred(X26),succ(X26))) = X35
      & n6 != n16
      & n2 != n10
      & n3 != n14
      & n20 = sum(n10,n10)
      & n1 != n6
      & n19 = sum(n3,n16)
      & n15 = sum(n7,n8)
      & n2 = sum(n16,n7)
      & n13 = sum(n13,n0)
      & n13 != n19
      & n12 = sum(n13,n20)
      & succ(n18) = n19
      & n17 != n18
      & n20 = sum(n6,n14)
      & n8 != n16
      & n0 = sum(n18,n3)
      & succ(n11) = n12
      & n12 = sum(n5,n7)
      & n4 != n11
      & sum(sum(pred(X36),succ(X15)),sum(pred(X15),succ(X36))) = X31
      & n4 != n16
      & n10 = sum(n18,n13)
      & n1 = sum(n3,n19)
      & n13 = sum(n15,n19)
      & n12 = sum(n12,n0)
      & n2 = sum(n1,n1)
      & n20 = sum(n12,n8)
      & n2 = sum(n18,n5)
      & n6 = sum(n10,n17)
      & n2 != n7
      & n8 = sum(n5,n3)
      & sum(sum(pred(X12),succ(X30)),sum(pred(X30),succ(X12))) = X11
      & n6 != n8
      & n0 = pred(n1)
      & n14 = sum(n18,n17)
      & n2 = sum(n12,n11)
      & n16 = sum(n8,n8)
      & n8 != n12
      & sum(sum(pred(X37),succ(X10)),sum(pred(X10),succ(X37))) = X8
      & n6 = sum(n18,n9)
      & n6 = sum(n0,n6)
      & n12 != n18
      & n3 = sum(n0,n3)
      & n7 != n8
      & n7 = sum(n1,n6)
      & n2 != n4
      & sum(sum(pred(X22),succ(X23)),sum(pred(X23),succ(X22))) = X24
      & n4 = sum(n4,n0)
      & n2 = sum(n19,n4)
      & n5 != n14
      & n5 != n9
      & n2 = pred(n3)
      & n3 != n11
      & n8 = sum(n19,n10)
      & n0 = sum(n0,n0)
      & n14 = sum(n13,n1)
      & n11 = sum(n5,n6)
      & n5 != n12
      & n0 != n14
      & n6 != n15
      & n9 != n19
      & n10 = sum(n2,n8)
      & sum(sum(pred(X11),succ(X11)),sum(pred(X39),succ(X39))) = X32
      & n4 = sum(n3,n1)
      & n19 = sum(n8,n11)
      & n14 = sum(n8,n6)
      & n3 != n4
      & n0 = sum(n8,n13)
      & n15 = sum(n9,n6)
      & n4 != n5
      & n12 = sum(n16,n17)
      & n10 != n17
      & n14 != n20
      & n17 = sum(n2,n15)
      & n13 = sum(n9,n4)
      & n8 != n13
      & n10 = sum(n13,n18)
      & n7 = sum(n3,n4)
      & n8 = sum(n8,n0)
      & n19 = sum(n9,n10)
      & n19 = sum(n5,n14)
      & n18 = sum(n17,n1)
      & n14 = sum(n7,n7)
      & n8 = sum(n10,n19)
      & n1 = sum(n12,n10)
      & n2 = sum(n3,n20)
      & n8 = sum(n15,n14)
      & succ(n3) = n4
      & n5 = sum(n4,n1)
      & n2 = sum(n2,n0)
      & n2 = sum(n11,n12)
      & sum(sum(pred(X33),succ(X33)),sum(pred(X4),succ(X4))) = X19
      & n7 = sum(n0,n7)
      & n19 = sum(n14,n5)
      & n18 = sum(n6,n12)
      & n2 != n11
      & n5 = sum(n20,n6)
      & n3 = sum(n11,n13)
      & n9 = sum(n2,n7)
      & n14 = sum(n4,n10)
      & succ(n14) = n15
      & n11 != n16
      & n10 != n15
      & n11 = pred(n12)
      & n11 = sum(n11,n0)
      & n12 != n15
      & n5 != n15
      & n4 = sum(n10,n15)
      & n4 != n18
      & n18 != n20
      & n8 != n14
      & n3 = sum(n20,n4)
      & n1 = sum(n8,n14)
      & n19 = sum(n4,n15)
      & n18 = sum(n20,n19)
      & n9 != n12
      & n20 = sum(n7,n13)
      & n4 != n9
      & n17 = sum(n0,n17)
      & n0 = sum(n4,n17)
      & n4 = sum(n0,n4)
      & n14 = sum(n12,n2)
      & n1 != n12
      & n11 = sum(n2,n9)
      & n6 = sum(n9,n18)
      & n5 != n20
      & n9 = sum(n9,n0)
      & n5 = sum(n17,n9)
      & n10 = sum(n7,n3)
      & n0 != n9
      & n8 != n9
      & n3 = sum(n5,n19)
      & n15 != n19
      & n3 != n12
      & sum(sum(pred(X40),succ(X40)),sum(pred(X19),succ(X19))) = X16
      & n8 = sum(n20,n9)
      & n0 != n4
      & n8 = sum(n16,n13)
      & n5 = pred(n6)
      & sum(sum(pred(X31),succ(X26)),sum(pred(X26),succ(X31))) = X13
      & n7 != n13
      & n15 = sum(n1,n14)
      & n7 = sum(n6,n1)
      & n12 = sum(n7,n5)
      & n2 = sum(n6,n17)
      & succ(n16) = n17
      & n15 = sum(n18,n18)
      & n8 = sum(n14,n15)
      & n14 = sum(n2,n12)
      & n6 = sum(n19,n8)
      & sum(sum(pred(X18),succ(X18)),sum(pred(X14),succ(X14))) = X21
      & n2 = sum(n5,n18)
      & n3 != n6
      & n0 = succ(n20)
      & n3 != n10
      & succ(n5) = n6
      & n11 != n18
      & n5 = sum(n11,n15)
      & n7 = sum(n8,n20)
      & n17 = sum(n20,n18)
      & n20 = sum(n8,n12)
      & n4 = sum(n19,n6)
      & n8 != n11
      & n3 = sum(n15,n9)
      & n5 = sum(n2,n3)
      & n10 = sum(n12,n19)
      & n6 != n18
      & succ(n10) = n11
      & n16 = sum(n16,n0)
      & succ(n9) = n10
      & n3 = sum(n7,n17)
      & n10 = sum(n19,n12)
      & n14 = sum(n5,n9)
      & n19 = sum(n13,n6)
      & n9 = sum(n15,n15)
      & n7 = sum(n16,n12)
      & n4 = sum(n20,n5)
      & n3 = sum(n10,n14)
      & n1 = sum(n17,n5)
      & n17 = sum(n10,n7)
      & n5 != n10
      & n4 != n13
      & n17 = sum(n15,n2)
      & n5 = sum(n3,n2)
      & n14 != n16
      & n1 = sum(n13,n9)
      & n11 = sum(n6,n5)
      & n2 != n17
      & n7 = sum(n9,n19)
      & n0 = sum(n13,n8)
      & n3 != n8
      & n12 != n14
      & n3 = sum(n13,n11)
      & n1 != n11
      & n3 = sum(n1,n2)
      & n16 = pred(n17)
      & n6 != n14
      & n1 != n10
      & n7 != n14
      & n14 = sum(n1,n13)
      & n12 = sum(n0,n12)
      & n3 = sum(n9,n15)
      & n1 != n17
      & n0 = sum(n20,n1)
      & n9 = sum(n8,n1)
      & n15 = sum(n14,n1)
      & sum(sum(pred(X29),succ(X1)),sum(pred(X1),succ(X29))) = X6
      & n11 = sum(n18,n14)
      & n3 = sum(n8,n16)
      & n13 = sum(n11,n2)
      & n5 != n7
      & n16 = sum(n4,n12)
      & n1 = sum(n19,n3)
      & n15 = sum(n19,n17)
      & n14 = sum(n14,n0)
      & n16 = sum(n10,n6)
      & n4 = sum(n13,n12)
      & n11 != n19
      & n2 != n9
      & n19 = sum(n19,n0)
      & n5 = sum(n0,n5)
      & n17 = sum(n14,n3)
      & sum(sum(pred(X8),succ(X8)),sum(pred(X27),succ(X27))) = X0
      & n11 = sum(n1,n10)
      & n17 = sum(n8,n9)
      & n2 = sum(n15,n8)
      & succ(n12) = n13
      & n7 != n15
      & n5 = sum(n15,n11)
      & n1 != n8
      & n20 = sum(n1,n19)
      & n5 != n17
      & n10 = sum(n20,n11)
      & n3 = sum(n14,n10)
      & n15 = sum(n0,n15)
      & n0 != n5
      & n9 != n18
      & n2 != n20
      & n13 = sum(n2,n11)
      & n7 = sum(n5,n2)
      & sum(sum(pred(X37),succ(X37)),sum(pred(X10),succ(X10))) = X27
      & n2 != n13
      & sum(sum(pred(X24),succ(X24)),sum(pred(X38),succ(X38))) = X5
      & sum(sum(pred(X12),succ(X12)),sum(pred(X30),succ(X30))) = X39
      & n6 = sum(n16,n11)
      & n13 != n16
      & n3 != n16
      & n19 = sum(n11,n8)
      & n10 = sum(n16,n15)
      & n3 = sum(n18,n6)
      & n17 = sum(n5,n12)
      & n19 = sum(n7,n12)
      & n11 != n17
      & n4 != n19
      & n1 != n2
      & n10 = sum(n10,n0)
      & sum(sum(pred(X41),succ(X34)),sum(pred(X34),succ(X41))) = X29
      & n12 = sum(n6,n6)
      & n10 = sum(n6,n4)
      & succ(n13) = n14
      & n18 = sum(n5,n13)
      & n19 = sum(n20,n20)
      & n1 != n14
      & n1 = sum(n0,n1)
      & n6 = sum(n1,n5)
      & succ(n0) = n1
      & n8 != n18
      & n5 = sum(n1,n4)
      & n14 = sum(n20,n15)
      & n17 = sum(n13,n4)
      & n19 = sum(n17,n2)
      & n2 = sum(n8,n15)
      & n17 = sum(n16,n1)
      & n2 != n19
      & n17 = sum(n1,n16)
      & n11 = sum(n14,n18)
      & n10 != n20
      & n16 = sum(n2,n14)
      & n14 = sum(n17,n18)
      & n16 = sum(n1,n15)
      & n4 != n10
      & n6 = sum(n15,n12)
      & n18 = sum(n2,n16)
      & n15 = sum(n17,n19)
      & sum(sum(pred(X13),succ(X13)),sum(pred(X35),succ(X35))) = X28
      & n1 != n9
      & n14 = sum(n11,n3)
      & n20 = sum(n19,n1)
      & n6 = sum(n6,n0)
      & n3 != n18
      & n7 = sum(n10,n18)
      & n9 != n13
      & succ(n19) = n20
      & n17 = sum(n6,n11)
      & n16 = sum(n18,n19)
      & n20 = sum(n15,n5)
      & n4 = sum(n12,n13)
      & n13 = sum(n7,n6)
      & n1 = sum(n11,n11)
      & n9 = sum(n1,n8)
      & n14 = sum(n6,n8)
      & n5 != n13
      & n4 = sum(n7,n18)
      & n0 = sum(n7,n14)
      & n13 = sum(n12,n1)
      & n4 = sum(n1,n3)
      & n19 = sum(n16,n3)
      & n0 != n10
      & sum(sum(pred(X24),succ(X38)),sum(pred(X38),succ(X24))) = X2
      & n9 = sum(n12,n18)
      & n7 = sum(n14,n14)
      & n8 != n19
      & n13 = sum(n3,n10)
      & n18 = sum(n16,n2)
      & n8 = sum(n7,n1)
      & succ(n8) = n9
      & n15 = sum(n12,n3)
      & n19 = sum(n0,n19)
      & n13 != n15
      & n9 = sum(n17,n13)
      & n6 = sum(n12,n15)
      & n11 != n12
      & succ(n7) = n8
      & n2 = sum(n4,n19)
      & n6 = sum(n20,n7)
      & n18 = sum(n4,n14)
      & n15 = sum(n10,n5)
      & n13 = sum(n14,n20)
      & n16 != n20
      & n14 = sum(n3,n11)
      & n16 = sum(n15,n1)
      & n18 = sum(n3,n15)
      & sum(sum(pred(X25),succ(X28)),sum(pred(X28),succ(X25))) = X12
      & n0 = sum(n9,n12)
      & n1 = sum(n5,n17)
      & sum(sum(pred(X7),succ(X16)),sum(pred(X16),succ(X7))) = X41
      & n3 = sum(n19,n5)
      & n16 != n18
      & n0 = sum(n14,n7)
      & n10 = sum(n15,n16)
      & n3 != n9
      & sum(sum(pred(X11),succ(X39)),sum(pred(X39),succ(X11))) = X3
      & n15 != n18
      & n9 = sum(n14,n16)
      & n19 = pred(n20)
      & n4 != n14
      & n16 != n19
      & sum(sum(pred(X8),succ(X27)),sum(pred(X27),succ(X8))) = X9
      & n2 = sum(n7,n16)
      & n10 = sum(n17,n14)
      & n13 != n20
      & n16 = sum(n11,n5)
      & n2 != n6
      & n13 != n17
      & n15 = sum(n6,n9)
      & n18 = sum(n9,n9)
      & n16 = sum(n9,n7)
      & n0 = sum(n6,n15)
      & n20 = sum(n11,n9)
      & sum(sum(pred(X17),succ(X17)),sum(pred(X21),succ(X21))) = X4
      & n11 = sum(n13,n19)
      & sum(sum(pred(X41),succ(X41)),sum(pred(X34),succ(X34))) = X1
      & n0 = sum(n12,n9)
      & n15 = sum(n5,n10)
      & n7 != n19
      & n7 != n16
      & n17 = sum(n11,n6)
      & n6 = sum(n2,n4)
      & n4 != n12
      & n10 = pred(n11)
      & n6 = pred(n7)
      & n8 = sum(n4,n4)
      & n0 != n13
      & n6 = sum(n11,n16)
      & n8 != n20
      & n8 = sum(n12,n17)
      & n2 != n16
      & sum(sum(pred(X6),succ(X6)),sum(pred(X20),succ(X20))) = X15
      & n7 = sum(n19,n9)
      & n4 = sum(n2,n2)
      & n2 != n14
      & n9 = sum(n5,n4)
      & n7 = sum(n4,n3)
      & n6 != n17
      & ( X4 != X33
        | X8 != X27
        | X6 != X20
        | X12 != X30
        | X17 != X21
        | X24 != X38
        | X7 != X16
        | X34 != X41
        | X13 != X35
        | X10 != X37
        | X1 != X29
        | X25 != X28
        | X14 != X18
        | X15 != X36
        | X11 != X39
        | X19 != X40
        | X3 != X32
        | X0 != X9
        | X2 != X5
        | X26 != X31 )
      & n3 != n5
      & n0 = sum(n11,n10)
      & n6 != n13
      & n7 != n9
      & n11 = sum(n10,n1)
      & n11 = sum(n9,n2)
      & n0 != n8
      & n9 != n16
      & n4 != n17
      & n18 = sum(n14,n4)
      & n7 = sum(n17,n11)
      & n19 = sum(n10,n9)
      & n14 = sum(n0,n14)
      & n1 = sum(n2,n20)
      & n15 = sum(n20,n16)
      & succ(n1) = n2
      & sum(sum(pred(X18),succ(X14)),sum(pred(X14),succ(X18))) = X17
      & n16 = sum(n17,n20)
      & n10 = sum(n0,n10)
      & n14 = sum(n16,n19)
      & n3 != n15
      & n1 = sum(n14,n8)
      & n11 = sum(n4,n7)
      & n9 != n11
      & n4 = sum(n14,n11)
      & n6 != n10
      & n12 != n19
      & n8 != n15
      & n11 = sum(n17,n15)
      & n0 = sum(n1,n20)
      & n2 = sum(n13,n10)
      & n19 = sum(n18,n1)
      & n9 = sum(n18,n12)
      & n13 = sum(n6,n7)
      & n4 = sum(n18,n7)
      & n17 = pred(n18)
      & n9 != n17
      & n13 = pred(n14)
      & n20 = sum(n18,n2)
      & n9 != n15
      & n8 = sum(n6,n2)
      & n12 = sum(n9,n3)
      & n3 = sum(n4,n20)
      & n18 = sum(n10,n8)
      & n20 = pred(n0)
      & n4 != n15
      & n12 = sum(n8,n4)
      & n14 = sum(n15,n20)
      & n0 != n15
      & n4 = sum(n9,n16)
      & n17 = sum(n9,n8)
      & n12 != n17
      & n4 != n8
      & n3 != n19
      & n3 = sum(n6,n18)
      & n12 = sum(n2,n10)
      & n1 = sum(n15,n7)
      & n20 = sum(n5,n15)
      & n7 = sum(n11,n17)
      & n10 != n11
      & n14 != n17
      & n16 = sum(n14,n2)
      & n6 = sum(n7,n20)
      & n9 = sum(n10,n20)
      & n1 = sum(n1,n0)
      & n8 = sum(n18,n11)
      & n1 != n19
      & n12 = sum(n3,n9)
      & n15 != n20
      & n4 = sum(n5,n20)
      & n6 != n12
      & n12 = sum(n19,n14)
      & n6 != n20
      & n15 = sum(n15,n0)
      & n17 = sum(n17,n0)
      & n5 = sum(n5,n0)
      & n15 = sum(n16,n20)
      & sum(sum(pred(X33),succ(X4)),sum(pred(X4),succ(X33))) = X40
      & n18 = sum(n12,n6)
      & n0 != n6
      & n2 != n12
      & n10 = sum(n5,n5)
      & n7 != n17
      & n14 = pred(n15)
      & n7 = sum(n15,n13)
      & n3 = sum(n2,n1)
      & n14 = sum(n19,n16)
      & n5 = sum(n10,n16)
      & n14 != n15
      & n15 = sum(n3,n12)
      & n2 = sum(n0,n2)
      & n18 = sum(n0,n18)
      & n9 = sum(n16,n14)
      & n19 = sum(n12,n7)
      & n19 = sum(n6,n13)
      & n5 != n18
      & n15 != n17
      & n8 = sum(n17,n12)
      & n3 != n17
      & n16 = sum(n19,n18)
      & n19 != n20
      & n5 = sum(n8,n18)
      & n0 = sum(n16,n5)
      & n4 != n6
      & n5 = sum(n18,n8)
      & n14 = sum(n9,n5)
      & sum(sum(pred(X13),succ(X35)),sum(pred(X35),succ(X13))) = X25
      & n11 = sum(n16,n16)
      & n4 != n20
      & n12 != n16
      & n20 = sum(n17,n3)
      & n13 = sum(n16,n18)
      & n14 = sum(n10,n4)
      & n12 = pred(n13)
      & n17 != n20
      & n2 = sum(n9,n14)
      & n16 = sum(n5,n11)
      & n4 = sum(n16,n9)
      & n10 = sum(n4,n6)
      & n10 != n12
      & n10 != n19
      & n1 = sum(n20,n2)
      & n2 != n5
      & n15 = sum(n13,n2)
      & n19 = sum(n1,n18)
      & n1 != n13
      & n17 = sum(n19,n19)
      & n18 = sum(n15,n3)
      & sum(sum(pred(X22),succ(X22)),sum(pred(X23),succ(X23))) = X38
      & n1 != n7
      & n2 != n18
      & n9 = sum(n7,n2)
      & n5 = sum(n9,n17)
      & n10 != n16
      & n20 = sum(n20,n0)
      & n6 = sum(n13,n14)
      & n9 = sum(n11,n19)
      & n1 = sum(n6,n16)
      & n16 = sum(n3,n13)
      & n0 = sum(n15,n6)
      & n16 = sum(n20,n17)
      & n5 = sum(n14,n12)
      & n20 = sum(n3,n17)
      & n5 != n16
      & succ(n15) = n16
      & n4 = sum(n17,n8)
      & n5 != n8
      & n10 = sum(n9,n1)
      & ( n0 = X23
        | n17 = X23
        | n4 = X23
        | n14 = X23
        | n10 = X23
        | n2 = X23
        | n20 = X23
        | n19 = X23
        | n1 = X23
        | n18 = X23
        | n8 = X23
        | n11 = X23
        | n7 = X23
        | n15 = X23
        | n12 = X23
        | n13 = X23
        | n6 = X23
        | n16 = X23
        | n5 = X23
        | n9 = X23
        | n3 = X23 )
      & n10 = sum(n1,n9)
      & n9 = pred(n10)
      & n12 = sum(n17,n16)
      & n0 = sum(n10,n11)
      & n3 = pred(n4)
      & n2 = sum(n20,n3)
      & n0 != n7
      & n9 = sum(n3,n6)
      & n10 = sum(n8,n2)
      & n10 = sum(n14,n17)
      & n18 = sum(n7,n11)
      & n5 != n6
      & n5 = sum(n6,n20)
      & n3 = sum(n17,n7)
      & n9 = sum(n4,n5)
      & n13 = sum(n5,n8)
      & n15 = sum(n11,n4)
      & n18 != n19
      & n2 != n15
      & n1 = sum(n10,n12)
      & n10 = sum(n3,n7)
      & n14 != n19
      & n2 = sum(n10,n13)
      & n6 != n19
      & succ(n2) = n3
      & n0 = sum(n5,n16)
      & n9 != n14
      & n11 = sum(n3,n8)
      & n14 != n18
      & n16 = sum(n12,n4)
      & n15 != n16
      & n1 != n20
      & n13 = sum(n4,n9)
      & n13 = sum(n17,n17)
      & n12 = sum(n10,n2)
      & n11 = sum(n7,n4)
      & sum(sum(pred(X3),succ(X32)),sum(pred(X32),succ(X3))) = X37
      & n18 = sum(n8,n10)
      & n8 = sum(n11,n18)
      & n1 != n15
      & n12 = sum(n18,n15)
      & n0 != n3
      & n20 = sum(n13,n7)
      & n1 = sum(n9,n13)
      & n1 = pred(n2)
      & n9 = sum(n20,n10)
      & n0 != n17
      & n6 = sum(n8,n19)
      & n0 = sum(n19,n2)
      & n3 = sum(n12,n12)
      & n10 != n14
      & n8 = sum(n0,n8)
      & n8 = sum(n1,n7)
      & n15 = sum(n4,n11)
      & n13 = sum(n20,n14)
      & n8 = sum(n9,n20)
      & n12 != n13
      & n13 = sum(n0,n13)
      & n7 != n11
      & n11 = sum(n12,n20)
      & n11 = sum(n19,n13)
      & n7 = sum(n12,n16)
      & n17 = sum(n18,n20)
      & n0 != n19
      & n5 != n19
      & n5 = sum(n13,n13)
      & n9 = sum(n0,n9)
      & n0 = sum(n17,n4)
      & n5 = sum(n19,n7)
      & n18 = sum(n11,n7)
      & n6 != n7
      & n8 = sum(n2,n6)
      & n1 != n18
      & n6 != n9
      & n0 != n16
      & sum(sum(pred(X2),succ(X5)),sum(pred(X5),succ(X2))) = X18
      & n1 != n4
      & n4 = pred(n5)
      & n7 != n20
      & n16 = sum(n13,n3)
      & n1 != n16
      & n7 != n12
      & n20 = sum(n16,n4)
      & n18 = sum(n19,n20)
      & n5 = sum(n7,n19)
      & n13 = sum(n10,n3)
      & n6 = sum(n5,n1)
      & n7 != n18
      & n5 = sum(n12,n14)
      & n3 != n13
      & n8 = sum(n13,n16)
      & n0 = sum(n2,n19)
      & n0 != n11
      & n1 != n5
      & n6 = sum(n14,n13)
      & n8 = sum(n3,n5)
      & n2 != n8
      & n1 != n3
      & n18 = sum(n18,n0)
      & n4 = sum(n11,n14)
      & n2 = sum(n14,n9)
      & n1 = sum(n4,n18)
      & n10 != n18
      & n17 = sum(n4,n13)
      & n7 = sum(n20,n8)
      & n11 = sum(n20,n12)
      & n13 = sum(n19,n15)
      & n0 != n18
      & sum(sum(pred(X36),succ(X36)),sum(pred(X15),succ(X15))) = X26
      & n10 = sum(n11,n20)
      & n17 = sum(n3,n14)
      & n4 = sum(n15,n10)
      & n9 != n20
      & succ(n6) = n7
      & n0 = sum(n3,n18)
      & n6 = sum(n3,n3)
      & n20 = sum(n2,n18)
      & n4 != n7
      & n19 = sum(n15,n4)
      & sum(sum(pred(X25),succ(X25)),sum(pred(X28),succ(X28))) = X30
      & n0 != n20
      & sum(sum(pred(X6),succ(X20)),sum(pred(X20),succ(X6))) = X36
      & succ(n17) = n18
      & n9 = sum(n19,n11)
      & n13 = sum(n18,n16)
      & n9 = sum(n13,n17)
      & n5 = sum(n16,n10)
      & n11 = sum(n15,n17)
      & n3 = sum(n3,n0)
      & n3 != n20
      & n12 = sum(n20,n13)
      & n13 = sum(n1,n12)
      & succ(n4) = n5
      & n7 = sum(n13,n15)
      & n11 != n20
      & sum(sum(pred(X40),succ(X19)),sum(pred(X19),succ(X40))) = X7
      & n6 != n11
      & n20 = sum(n14,n6)
      & sum(sum(pred(X17),succ(X21)),sum(pred(X21),succ(X17))) = X33
      & n16 = sum(n6,n10)
      & n4 = sum(n6,n19)
      & sum(sum(pred(X7),succ(X7)),sum(pred(X16),succ(X16))) = X34
      & n12 = sum(n11,n1)
      & n11 = sum(n0,n11)
      & n7 = sum(n2,n5)
      & n12 = sum(n14,n19)
      & n15 = sum(n2,n13)
      & n6 = sum(n4,n2)
      & n0 != n1
      & n2 != n3
      & n20 = sum(n4,n16) ),
    inference(rectify,[],[f2]) ).

fof(f2,plain,
    ? [X40,X13,X38,X36,X29,X28,X34,X41,X32,X21,X19,X15,X8,X18,X20,X26,X37,X12,X24,X31,X23,X11,X35,X0,X3,X5,X30,X25,X4,X9,X33,X7,X17,X6,X16,X10,X14,X1,X2,X22,X39,X27] :
      ( n9 = sum(n6,n3)
      & n16 != n17
      & n8 != n17
      & n8 != n10
      & n18 = pred(n19)
      & n13 != n14
      & n11 != n15
      & n7 != n10
      & n6 = sum(n17,n10)
      & n0 != n12
      & n3 = sum(n16,n8)
      & n11 = sum(n8,n3)
      & sum(sum(pred(X9),succ(X9)),sum(pred(X13),succ(X13))) = X23
      & n12 != n20
      & n13 != n18
      & n16 = sum(n0,n16)
      & sum(sum(pred(X36),succ(X36)),sum(pred(X17),succ(X17))) = X19
      & n3 != n7
      & n17 != n19
      & n7 = sum(n7,n0)
      & n20 = sum(n9,n11)
      & n1 = sum(n18,n4)
      & n12 = sum(n15,n18)
      & n20 = sum(n0,n20)
      & n2 = sum(n17,n6)
      & n15 = pred(n16)
      & n18 = sum(n13,n5)
      & n16 = sum(n7,n9)
      & n12 = sum(n1,n11)
      & n13 = sum(n8,n5)
      & n12 = sum(n4,n8)
      & n10 != n13
      & ( n18 = X35
        | n17 = X35
        | n7 = X35
        | n19 = X35
        | n6 = X35
        | n8 = X35
        | n14 = X35
        | n11 = X35
        | n16 = X35
        | n2 = X35
        | n4 = X35
        | n15 = X35
        | n0 = X35
        | n13 = X35
        | n12 = X35
        | n20 = X35
        | n10 = X35
        | n3 = X35
        | n9 = X35
        | n1 = X35
        | n5 = X35 )
      & n5 != n11
      & n11 != n14
      & n18 = sum(n1,n17)
      & n15 = sum(n8,n7)
      & n4 = sum(n8,n17)
      & n9 != n10
      & sum(sum(pred(X38),succ(X38)),sum(pred(X28),succ(X28))) = X20
      & n19 = sum(n2,n17)
      & n17 = sum(n12,n5)
      & n11 != n13
      & n0 != n2
      & n7 = sum(n18,n10)
      & n7 = pred(n8)
      & n1 = sum(n7,n15)
      & n8 = pred(n9)
      & n1 = sum(n16,n6)
      & n17 = sum(n7,n10)
      & sum(sum(pred(X7),succ(X7)),sum(pred(X30),succ(X30))) = X10
      & n6 != n16
      & n2 != n10
      & n3 != n14
      & n20 = sum(n10,n10)
      & n1 != n6
      & n19 = sum(n3,n16)
      & n15 = sum(n7,n8)
      & n2 = sum(n16,n7)
      & n13 = sum(n13,n0)
      & n13 != n19
      & n12 = sum(n13,n20)
      & succ(n18) = n19
      & n17 != n18
      & n20 = sum(n6,n14)
      & n8 != n16
      & n0 = sum(n18,n3)
      & succ(n11) = n12
      & n12 = sum(n5,n7)
      & n4 != n11
      & sum(sum(pred(X14),succ(X26)),sum(pred(X26),succ(X14))) = X7
      & n4 != n16
      & n10 = sum(n18,n13)
      & n1 = sum(n3,n19)
      & n13 = sum(n15,n19)
      & n12 = sum(n12,n0)
      & n2 = sum(n1,n1)
      & n20 = sum(n12,n8)
      & n2 = sum(n18,n5)
      & n6 = sum(n10,n17)
      & n2 != n7
      & n8 = sum(n5,n3)
      & sum(sum(pred(X8),succ(X33)),sum(pred(X33),succ(X8))) = X15
      & n6 != n8
      & n0 = pred(n1)
      & n14 = sum(n18,n17)
      & n2 = sum(n12,n11)
      & n16 = sum(n8,n8)
      & n8 != n12
      & sum(sum(pred(X1),succ(X19)),sum(pred(X19),succ(X1))) = X32
      & n6 = sum(n18,n9)
      & n6 = sum(n0,n6)
      & n12 != n18
      & n3 = sum(n0,n3)
      & n7 != n8
      & n7 = sum(n1,n6)
      & n2 != n4
      & sum(sum(pred(X35),succ(X0)),sum(pred(X0),succ(X35))) = X3
      & n4 = sum(n4,n0)
      & n2 = sum(n19,n4)
      & n5 != n14
      & n5 != n9
      & n2 = pred(n3)
      & n3 != n11
      & n8 = sum(n19,n10)
      & n0 = sum(n0,n0)
      & n14 = sum(n13,n1)
      & n11 = sum(n5,n6)
      & n5 != n12
      & n0 != n14
      & n6 != n15
      & n9 != n19
      & n10 = sum(n2,n8)
      & sum(sum(pred(X15),succ(X15)),sum(pred(X22),succ(X22))) = X17
      & n4 = sum(n3,n1)
      & n19 = sum(n8,n11)
      & n14 = sum(n8,n6)
      & n3 != n4
      & n0 = sum(n8,n13)
      & n15 = sum(n9,n6)
      & n4 != n5
      & n12 = sum(n16,n17)
      & n10 != n17
      & n14 != n20
      & n17 = sum(n2,n15)
      & n13 = sum(n9,n4)
      & n8 != n13
      & n10 = sum(n13,n18)
      & n7 = sum(n3,n4)
      & n8 = sum(n8,n0)
      & n19 = sum(n9,n10)
      & n19 = sum(n5,n14)
      & n18 = sum(n17,n1)
      & n14 = sum(n7,n7)
      & n8 = sum(n10,n19)
      & n1 = sum(n12,n10)
      & n2 = sum(n3,n20)
      & n8 = sum(n15,n14)
      & succ(n3) = n4
      & n5 = sum(n4,n1)
      & n2 = sum(n2,n0)
      & n2 = sum(n11,n12)
      & sum(sum(pred(X6),succ(X6)),sum(pred(X29),succ(X29))) = X31
      & n7 = sum(n0,n7)
      & n19 = sum(n14,n5)
      & n18 = sum(n6,n12)
      & n2 != n11
      & n5 = sum(n20,n6)
      & n3 = sum(n11,n13)
      & n9 = sum(n2,n7)
      & n14 = sum(n4,n10)
      & succ(n14) = n15
      & n11 != n16
      & n10 != n15
      & n11 = pred(n12)
      & n11 = sum(n11,n0)
      & n12 != n15
      & n5 != n15
      & n4 = sum(n10,n15)
      & n4 != n18
      & n18 != n20
      & n8 != n14
      & n3 = sum(n20,n4)
      & n1 = sum(n8,n14)
      & n19 = sum(n4,n15)
      & n18 = sum(n20,n19)
      & n9 != n12
      & n20 = sum(n7,n13)
      & n4 != n9
      & n17 = sum(n0,n17)
      & n0 = sum(n4,n17)
      & n4 = sum(n0,n4)
      & n14 = sum(n12,n2)
      & n1 != n12
      & n11 = sum(n2,n9)
      & n6 = sum(n9,n18)
      & n5 != n20
      & n9 = sum(n9,n0)
      & n5 = sum(n17,n9)
      & n10 = sum(n7,n3)
      & n0 != n9
      & n8 != n9
      & n3 = sum(n5,n19)
      & n15 != n19
      & n3 != n12
      & sum(sum(pred(X39),succ(X39)),sum(pred(X31),succ(X31))) = X37
      & n8 = sum(n20,n9)
      & n0 != n4
      & n8 = sum(n16,n13)
      & n5 = pred(n6)
      & sum(sum(pred(X7),succ(X30)),sum(pred(X30),succ(X7))) = X18
      & n7 != n13
      & n15 = sum(n1,n14)
      & n7 = sum(n6,n1)
      & n12 = sum(n7,n5)
      & n2 = sum(n6,n17)
      & succ(n16) = n17
      & n15 = sum(n18,n18)
      & n8 = sum(n14,n15)
      & n14 = sum(n2,n12)
      & n6 = sum(n19,n8)
      & sum(sum(pred(X24),succ(X24)),sum(pred(X20),succ(X20))) = X11
      & n2 = sum(n5,n18)
      & n3 != n6
      & n0 = succ(n20)
      & n3 != n10
      & succ(n5) = n6
      & n11 != n18
      & n5 = sum(n11,n15)
      & n7 = sum(n8,n20)
      & n17 = sum(n20,n18)
      & n20 = sum(n8,n12)
      & n4 = sum(n19,n6)
      & n8 != n11
      & n3 = sum(n15,n9)
      & n5 = sum(n2,n3)
      & n10 = sum(n12,n19)
      & n6 != n18
      & succ(n10) = n11
      & n16 = sum(n16,n0)
      & succ(n9) = n10
      & n3 = sum(n7,n17)
      & n10 = sum(n19,n12)
      & n14 = sum(n5,n9)
      & n19 = sum(n13,n6)
      & n9 = sum(n15,n15)
      & n7 = sum(n16,n12)
      & n4 = sum(n20,n5)
      & n3 = sum(n10,n14)
      & n1 = sum(n17,n5)
      & n17 = sum(n10,n7)
      & n5 != n10
      & n4 != n13
      & n17 = sum(n15,n2)
      & n5 = sum(n3,n2)
      & n14 != n16
      & n1 = sum(n13,n9)
      & n11 = sum(n6,n5)
      & n2 != n17
      & n7 = sum(n9,n19)
      & n0 = sum(n13,n8)
      & n3 != n8
      & n12 != n14
      & n3 = sum(n13,n11)
      & n1 != n11
      & n3 = sum(n1,n2)
      & n16 = pred(n17)
      & n6 != n14
      & n1 != n10
      & n7 != n14
      & n14 = sum(n1,n13)
      & n12 = sum(n0,n12)
      & n3 = sum(n9,n15)
      & n1 != n17
      & n0 = sum(n20,n1)
      & n9 = sum(n8,n1)
      & n15 = sum(n14,n1)
      & sum(sum(pred(X9),succ(X13)),sum(pred(X13),succ(X9))) = X34
      & n11 = sum(n18,n14)
      & n3 = sum(n8,n16)
      & n13 = sum(n11,n2)
      & n5 != n7
      & n16 = sum(n4,n12)
      & n1 = sum(n19,n3)
      & n15 = sum(n19,n17)
      & n14 = sum(n14,n0)
      & n16 = sum(n10,n6)
      & n4 = sum(n13,n12)
      & n11 != n19
      & n2 != n9
      & n19 = sum(n19,n0)
      & n5 = sum(n0,n5)
      & n17 = sum(n14,n3)
      & sum(sum(pred(X32),succ(X32)),sum(pred(X25),succ(X25))) = X40
      & n11 = sum(n1,n10)
      & n17 = sum(n8,n9)
      & n2 = sum(n15,n8)
      & succ(n12) = n13
      & n7 != n15
      & n5 = sum(n15,n11)
      & n1 != n8
      & n20 = sum(n1,n19)
      & n5 != n17
      & n10 = sum(n20,n11)
      & n3 = sum(n14,n10)
      & n15 = sum(n0,n15)
      & n0 != n5
      & n9 != n18
      & n2 != n20
      & n13 = sum(n2,n11)
      & n7 = sum(n5,n2)
      & sum(sum(pred(X1),succ(X1)),sum(pred(X19),succ(X19))) = X25
      & n2 != n13
      & sum(sum(pred(X3),succ(X3)),sum(pred(X2),succ(X2))) = X28
      & sum(sum(pred(X8),succ(X8)),sum(pred(X33),succ(X33))) = X22
      & n6 = sum(n16,n11)
      & n13 != n16
      & n3 != n16
      & n19 = sum(n11,n8)
      & n10 = sum(n16,n15)
      & n3 = sum(n18,n6)
      & n17 = sum(n5,n12)
      & n19 = sum(n7,n12)
      & n11 != n17
      & n4 != n19
      & n1 != n2
      & n10 = sum(n10,n0)
      & sum(sum(pred(X27),succ(X16)),sum(pred(X16),succ(X27))) = X9
      & n12 = sum(n6,n6)
      & n10 = sum(n6,n4)
      & succ(n13) = n14
      & n18 = sum(n5,n13)
      & n19 = sum(n20,n20)
      & n1 != n14
      & n1 = sum(n0,n1)
      & n6 = sum(n1,n5)
      & succ(n0) = n1
      & n8 != n18
      & n5 = sum(n1,n4)
      & n14 = sum(n20,n15)
      & n17 = sum(n13,n4)
      & n19 = sum(n17,n2)
      & n2 = sum(n8,n15)
      & n17 = sum(n16,n1)
      & n2 != n19
      & n17 = sum(n1,n16)
      & n11 = sum(n14,n18)
      & n10 != n20
      & n16 = sum(n2,n14)
      & n14 = sum(n17,n18)
      & n16 = sum(n1,n15)
      & n4 != n10
      & n6 = sum(n15,n12)
      & n18 = sum(n2,n16)
      & n15 = sum(n17,n19)
      & sum(sum(pred(X18),succ(X18)),sum(pred(X10),succ(X10))) = X4
      & n1 != n9
      & n14 = sum(n11,n3)
      & n20 = sum(n19,n1)
      & n6 = sum(n6,n0)
      & n3 != n18
      & n7 = sum(n10,n18)
      & n9 != n13
      & succ(n19) = n20
      & n17 = sum(n6,n11)
      & n16 = sum(n18,n19)
      & n20 = sum(n15,n5)
      & n4 = sum(n12,n13)
      & n13 = sum(n7,n6)
      & n1 = sum(n11,n11)
      & n9 = sum(n1,n8)
      & n14 = sum(n6,n8)
      & n5 != n13
      & n4 = sum(n7,n18)
      & n0 = sum(n7,n14)
      & n13 = sum(n12,n1)
      & n4 = sum(n1,n3)
      & n19 = sum(n16,n3)
      & n0 != n10
      & sum(sum(pred(X3),succ(X2)),sum(pred(X2),succ(X3))) = X38
      & n9 = sum(n12,n18)
      & n7 = sum(n14,n14)
      & n8 != n19
      & n13 = sum(n3,n10)
      & n18 = sum(n16,n2)
      & n8 = sum(n7,n1)
      & succ(n8) = n9
      & n15 = sum(n12,n3)
      & n19 = sum(n0,n19)
      & n13 != n15
      & n9 = sum(n17,n13)
      & n6 = sum(n12,n15)
      & n11 != n12
      & succ(n7) = n8
      & n2 = sum(n4,n19)
      & n6 = sum(n20,n7)
      & n18 = sum(n4,n14)
      & n15 = sum(n10,n5)
      & n13 = sum(n14,n20)
      & n16 != n20
      & n14 = sum(n3,n11)
      & n16 = sum(n15,n1)
      & n18 = sum(n3,n15)
      & sum(sum(pred(X5),succ(X4)),sum(pred(X4),succ(X5))) = X8
      & n0 = sum(n9,n12)
      & n1 = sum(n5,n17)
      & sum(sum(pred(X41),succ(X37)),sum(pred(X37),succ(X41))) = X27
      & n3 = sum(n19,n5)
      & n16 != n18
      & n0 = sum(n14,n7)
      & n10 = sum(n15,n16)
      & n3 != n9
      & sum(sum(pred(X15),succ(X22)),sum(pred(X22),succ(X15))) = X36
      & n15 != n18
      & n9 = sum(n14,n16)
      & n19 = pred(n20)
      & n4 != n14
      & n16 != n19
      & sum(sum(pred(X32),succ(X25)),sum(pred(X25),succ(X32))) = X21
      & n2 = sum(n7,n16)
      & n10 = sum(n17,n14)
      & n13 != n20
      & n16 = sum(n11,n5)
      & n2 != n6
      & n13 != n17
      & n15 = sum(n6,n9)
      & n18 = sum(n9,n9)
      & n16 = sum(n9,n7)
      & n0 = sum(n6,n15)
      & n20 = sum(n11,n9)
      & sum(sum(pred(X12),succ(X12)),sum(pred(X11),succ(X11))) = X29
      & n11 = sum(n13,n19)
      & sum(sum(pred(X27),succ(X27)),sum(pred(X16),succ(X16))) = X13
      & n0 = sum(n12,n9)
      & n15 = sum(n5,n10)
      & n7 != n19
      & n7 != n16
      & n17 = sum(n11,n6)
      & n6 = sum(n2,n4)
      & n4 != n12
      & n10 = pred(n11)
      & n6 = pred(n7)
      & n8 = sum(n4,n4)
      & n0 != n13
      & n6 = sum(n11,n16)
      & n8 != n20
      & n8 = sum(n12,n17)
      & n2 != n16
      & sum(sum(pred(X34),succ(X34)),sum(pred(X23),succ(X23))) = X26
      & n7 = sum(n19,n9)
      & n4 = sum(n2,n2)
      & n2 != n14
      & n9 = sum(n5,n4)
      & n7 = sum(n4,n3)
      & n6 != n17
      & ( X6 != X29
        | X25 != X32
        | X23 != X34
        | X8 != X33
        | X11 != X12
        | X2 != X3
        | X37 != X41
        | X16 != X27
        | X10 != X18
        | X1 != X19
        | X9 != X13
        | X4 != X5
        | X20 != X24
        | X14 != X26
        | X15 != X22
        | X31 != X39
        | X17 != X36
        | X21 != X40
        | X28 != X38
        | X7 != X30 )
      & n3 != n5
      & n0 = sum(n11,n10)
      & n6 != n13
      & n7 != n9
      & n11 = sum(n10,n1)
      & n11 = sum(n9,n2)
      & n0 != n8
      & n9 != n16
      & n4 != n17
      & n18 = sum(n14,n4)
      & n7 = sum(n17,n11)
      & n19 = sum(n10,n9)
      & n14 = sum(n0,n14)
      & n1 = sum(n2,n20)
      & n15 = sum(n20,n16)
      & succ(n1) = n2
      & sum(sum(pred(X24),succ(X20)),sum(pred(X20),succ(X24))) = X12
      & n16 = sum(n17,n20)
      & n10 = sum(n0,n10)
      & n14 = sum(n16,n19)
      & n3 != n15
      & n1 = sum(n14,n8)
      & n11 = sum(n4,n7)
      & n9 != n11
      & n4 = sum(n14,n11)
      & n6 != n10
      & n12 != n19
      & n8 != n15
      & n11 = sum(n17,n15)
      & n0 = sum(n1,n20)
      & n2 = sum(n13,n10)
      & n19 = sum(n18,n1)
      & n9 = sum(n18,n12)
      & n13 = sum(n6,n7)
      & n4 = sum(n18,n7)
      & n17 = pred(n18)
      & n9 != n17
      & n13 = pred(n14)
      & n20 = sum(n18,n2)
      & n9 != n15
      & n8 = sum(n6,n2)
      & n12 = sum(n9,n3)
      & n3 = sum(n4,n20)
      & n18 = sum(n10,n8)
      & n20 = pred(n0)
      & n4 != n15
      & n12 = sum(n8,n4)
      & n14 = sum(n15,n20)
      & n0 != n15
      & n4 = sum(n9,n16)
      & n17 = sum(n9,n8)
      & n12 != n17
      & n4 != n8
      & n3 != n19
      & n3 = sum(n6,n18)
      & n12 = sum(n2,n10)
      & n1 = sum(n15,n7)
      & n20 = sum(n5,n15)
      & n7 = sum(n11,n17)
      & n10 != n11
      & n14 != n17
      & n16 = sum(n14,n2)
      & n6 = sum(n7,n20)
      & n9 = sum(n10,n20)
      & n1 = sum(n1,n0)
      & n8 = sum(n18,n11)
      & n1 != n19
      & n12 = sum(n3,n9)
      & n15 != n20
      & n4 = sum(n5,n20)
      & n6 != n12
      & n12 = sum(n19,n14)
      & n6 != n20
      & n15 = sum(n15,n0)
      & n17 = sum(n17,n0)
      & n5 = sum(n5,n0)
      & n15 = sum(n16,n20)
      & sum(sum(pred(X6),succ(X29)),sum(pred(X29),succ(X6))) = X39
      & n18 = sum(n12,n6)
      & n0 != n6
      & n2 != n12
      & n10 = sum(n5,n5)
      & n7 != n17
      & n14 = pred(n15)
      & n7 = sum(n15,n13)
      & n3 = sum(n2,n1)
      & n14 = sum(n19,n16)
      & n5 = sum(n10,n16)
      & n14 != n15
      & n15 = sum(n3,n12)
      & n2 = sum(n0,n2)
      & n18 = sum(n0,n18)
      & n9 = sum(n16,n14)
      & n19 = sum(n12,n7)
      & n19 = sum(n6,n13)
      & n5 != n18
      & n15 != n17
      & n8 = sum(n17,n12)
      & n3 != n17
      & n16 = sum(n19,n18)
      & n19 != n20
      & n5 = sum(n8,n18)
      & n0 = sum(n16,n5)
      & n4 != n6
      & n5 = sum(n18,n8)
      & n14 = sum(n9,n5)
      & sum(sum(pred(X18),succ(X10)),sum(pred(X10),succ(X18))) = X5
      & n11 = sum(n16,n16)
      & n4 != n20
      & n12 != n16
      & n20 = sum(n17,n3)
      & n13 = sum(n16,n18)
      & n14 = sum(n10,n4)
      & n12 = pred(n13)
      & n17 != n20
      & n2 = sum(n9,n14)
      & n16 = sum(n5,n11)
      & n4 = sum(n16,n9)
      & n10 = sum(n4,n6)
      & n10 != n12
      & n10 != n19
      & n1 = sum(n20,n2)
      & n2 != n5
      & n15 = sum(n13,n2)
      & n19 = sum(n1,n18)
      & n1 != n13
      & n17 = sum(n19,n19)
      & n18 = sum(n15,n3)
      & sum(sum(pred(X35),succ(X35)),sum(pred(X0),succ(X0))) = X2
      & n1 != n7
      & n2 != n18
      & n9 = sum(n7,n2)
      & n5 = sum(n9,n17)
      & n10 != n16
      & n20 = sum(n20,n0)
      & n6 = sum(n13,n14)
      & n9 = sum(n11,n19)
      & n1 = sum(n6,n16)
      & n16 = sum(n3,n13)
      & n0 = sum(n15,n6)
      & n16 = sum(n20,n17)
      & n5 = sum(n14,n12)
      & n20 = sum(n3,n17)
      & n5 != n16
      & succ(n15) = n16
      & n4 = sum(n17,n8)
      & n5 != n8
      & n10 = sum(n9,n1)
      & ( n0 = X0
        | n17 = X0
        | n4 = X0
        | n14 = X0
        | n10 = X0
        | n2 = X0
        | n20 = X0
        | n19 = X0
        | n1 = X0
        | n18 = X0
        | n8 = X0
        | n11 = X0
        | n7 = X0
        | n15 = X0
        | n12 = X0
        | n13 = X0
        | n6 = X0
        | n16 = X0
        | n5 = X0
        | n9 = X0
        | n3 = X0 )
      & n10 = sum(n1,n9)
      & n9 = pred(n10)
      & n12 = sum(n17,n16)
      & n0 = sum(n10,n11)
      & n3 = pred(n4)
      & n2 = sum(n20,n3)
      & n0 != n7
      & n9 = sum(n3,n6)
      & n10 = sum(n8,n2)
      & n10 = sum(n14,n17)
      & n18 = sum(n7,n11)
      & n5 != n6
      & n5 = sum(n6,n20)
      & n3 = sum(n17,n7)
      & n9 = sum(n4,n5)
      & n13 = sum(n5,n8)
      & n15 = sum(n11,n4)
      & n18 != n19
      & n2 != n15
      & n1 = sum(n10,n12)
      & n10 = sum(n3,n7)
      & n14 != n19
      & n2 = sum(n10,n13)
      & n6 != n19
      & succ(n2) = n3
      & n0 = sum(n5,n16)
      & n9 != n14
      & n11 = sum(n3,n8)
      & n14 != n18
      & n16 = sum(n12,n4)
      & n15 != n16
      & n1 != n20
      & n13 = sum(n4,n9)
      & n13 = sum(n17,n17)
      & n12 = sum(n10,n2)
      & n11 = sum(n7,n4)
      & sum(sum(pred(X36),succ(X17)),sum(pred(X17),succ(X36))) = X1
      & n18 = sum(n8,n10)
      & n8 = sum(n11,n18)
      & n1 != n15
      & n12 = sum(n18,n15)
      & n0 != n3
      & n20 = sum(n13,n7)
      & n1 = sum(n9,n13)
      & n1 = pred(n2)
      & n9 = sum(n20,n10)
      & n0 != n17
      & n6 = sum(n8,n19)
      & n0 = sum(n19,n2)
      & n3 = sum(n12,n12)
      & n10 != n14
      & n8 = sum(n0,n8)
      & n8 = sum(n1,n7)
      & n15 = sum(n4,n11)
      & n13 = sum(n20,n14)
      & n8 = sum(n9,n20)
      & n12 != n13
      & n13 = sum(n0,n13)
      & n7 != n11
      & n11 = sum(n12,n20)
      & n11 = sum(n19,n13)
      & n7 = sum(n12,n16)
      & n17 = sum(n18,n20)
      & n0 != n19
      & n5 != n19
      & n5 = sum(n13,n13)
      & n9 = sum(n0,n9)
      & n0 = sum(n17,n4)
      & n5 = sum(n19,n7)
      & n18 = sum(n11,n7)
      & n6 != n7
      & n8 = sum(n2,n6)
      & n1 != n18
      & n6 != n9
      & n0 != n16
      & sum(sum(pred(X38),succ(X28)),sum(pred(X28),succ(X38))) = X24
      & n1 != n4
      & n4 = pred(n5)
      & n7 != n20
      & n16 = sum(n13,n3)
      & n1 != n16
      & n7 != n12
      & n20 = sum(n16,n4)
      & n18 = sum(n19,n20)
      & n5 = sum(n7,n19)
      & n13 = sum(n10,n3)
      & n6 = sum(n5,n1)
      & n7 != n18
      & n5 = sum(n12,n14)
      & n3 != n13
      & n8 = sum(n13,n16)
      & n0 = sum(n2,n19)
      & n0 != n11
      & n1 != n5
      & n6 = sum(n14,n13)
      & n8 = sum(n3,n5)
      & n2 != n8
      & n1 != n3
      & n18 = sum(n18,n0)
      & n4 = sum(n11,n14)
      & n2 = sum(n14,n9)
      & n1 = sum(n4,n18)
      & n10 != n18
      & n17 = sum(n4,n13)
      & n7 = sum(n20,n8)
      & n11 = sum(n20,n12)
      & n13 = sum(n19,n15)
      & n0 != n18
      & sum(sum(pred(X14),succ(X14)),sum(pred(X26),succ(X26))) = X30
      & n10 = sum(n11,n20)
      & n17 = sum(n3,n14)
      & n4 = sum(n15,n10)
      & n9 != n20
      & succ(n6) = n7
      & n0 = sum(n3,n18)
      & n6 = sum(n3,n3)
      & n20 = sum(n2,n18)
      & n4 != n7
      & n19 = sum(n15,n4)
      & sum(sum(pred(X5),succ(X5)),sum(pred(X4),succ(X4))) = X33
      & n0 != n20
      & sum(sum(pred(X34),succ(X23)),sum(pred(X23),succ(X34))) = X14
      & succ(n17) = n18
      & n9 = sum(n19,n11)
      & n13 = sum(n18,n16)
      & n9 = sum(n13,n17)
      & n5 = sum(n16,n10)
      & n11 = sum(n15,n17)
      & n3 = sum(n3,n0)
      & n3 != n20
      & n12 = sum(n20,n13)
      & n13 = sum(n1,n12)
      & succ(n4) = n5
      & n7 = sum(n13,n15)
      & n11 != n20
      & sum(sum(pred(X39),succ(X31)),sum(pred(X31),succ(X39))) = X41
      & n6 != n11
      & n20 = sum(n14,n6)
      & sum(sum(pred(X12),succ(X11)),sum(pred(X11),succ(X12))) = X6
      & n16 = sum(n6,n10)
      & n4 = sum(n6,n19)
      & sum(sum(pred(X41),succ(X41)),sum(pred(X37),succ(X37))) = X16
      & n12 = sum(n11,n1)
      & n11 = sum(n0,n11)
      & n7 = sum(n2,n5)
      & n12 = sum(n14,n19)
      & n15 = sum(n2,n13)
      & n6 = sum(n4,n2)
      & n0 != n1
      & n2 != n3
      & n20 = sum(n4,n16) ),
    inference(rectify,[],[f1]) ).

fof(f1,axiom,
    ? [X1,X36,X3,X2,X29,X28,X10,X24,X30,X18,X27,X9,X8,X19,X22,X32,X17,X35,X26,X37,X7,X40,X33,X21,X6,X39,X23,X16,X5,X11,X25,X13,X38,X31,X20,X0,X34,X15,X4,X12,X41,X14] :
      ( n10 = sum(n16,n15)
      & n1 = sum(n8,n14)
      & n4 = sum(n13,n12)
      & n13 = pred(n14)
      & n8 = sum(n16,n13)
      & n15 = sum(n11,n4)
      & n5 != n8
      & n5 = sum(n0,n5)
      & succ(n8) = n9
      & n3 != n12
      & n17 = sum(n2,n15)
      & n3 = sum(n9,n15)
      & n6 = sum(n4,n2)
      & n3 != n6
      & n2 = sum(n10,n13)
      & n18 != n19
      & n15 = sum(n1,n14)
      & sum(sum(pred(X12),succ(X12)),sum(pred(X13),succ(X13))) = X15
      & n16 = sum(n3,n13)
      & n7 = sum(n8,n20)
      & n1 != n19
      & n10 = sum(n1,n9)
      & n14 = sum(n6,n8)
      & n16 = sum(n12,n4)
      & n8 = sum(n15,n14)
      & n10 = sum(n15,n16)
      & n10 = pred(n11)
      & n2 = sum(n3,n20)
      & n19 != n20
      & n11 = sum(n7,n4)
      & n12 != n15
      & n16 = sum(n9,n7)
      & n10 = sum(n3,n7)
      & n8 = sum(n19,n10)
      & n20 = sum(n13,n7)
      & n8 = sum(n0,n8)
      & n0 != n12
      & n9 = sum(n11,n19)
      & n10 != n14
      & n18 = sum(n14,n4)
      & n3 != n4
      & n3 = sum(n0,n3)
      & n2 = sum(n18,n5)
      & n15 = sum(n9,n6)
      & n3 = sum(n12,n12)
      & n19 = sum(n14,n5)
      & n19 = pred(n20)
      & n1 = sum(n19,n3)
      & n17 = sum(n10,n7)
      & n19 = sum(n8,n11)
      & n1 != n11
      & sum(sum(pred(X2),succ(X2)),sum(pred(X3),succ(X3))) = X5
      & n13 = sum(n2,n11)
      & n20 = sum(n15,n5)
      & n0 = sum(n15,n6)
      & n7 != n13
      & n15 != n16
      & n14 != n16
      & sum(sum(pred(X14),succ(X14)),sum(pred(X15),succ(X15))) = X17
      & n6 = sum(n18,n9)
      & n15 = sum(n15,n0)
      & n17 != n18
      & n8 != n11
      & n13 = sum(n1,n12)
      & n4 = sum(n9,n16)
      & n4 != n8
      & n12 != n13
      & n7 = sum(n2,n5)
      & n12 = sum(n17,n16)
      & n15 = sum(n10,n5)
      & n11 = pred(n12)
      & n8 != n9
      & n7 = sum(n12,n16)
      & n3 != n20
      & n2 != n17
      & n9 != n16
      & n1 = sum(n0,n1)
      & n20 = sum(n12,n8)
      & n6 != n20
      & n16 != n19
      & n10 != n11
      & n20 = sum(n3,n17)
      & sum(sum(pred(X0),succ(X1)),sum(pred(X1),succ(X0))) = X2
      & n9 = sum(n2,n7)
      & succ(n1) = n2
      & n10 != n16
      & n2 = sum(n19,n4)
      & n12 = sum(n2,n10)
      & n15 = sum(n14,n1)
      & n3 = sum(n4,n20)
      & n9 = sum(n0,n9)
      & succ(n0) = n1
      & n13 = sum(n15,n19)
      & n13 = sum(n7,n6)
      & n2 != n10
      & n12 = sum(n3,n9)
      & n4 != n7
      & n11 != n18
      & n4 = sum(n5,n20)
      & n18 = sum(n6,n12)
      & n12 = sum(n5,n7)
      & n11 = sum(n10,n1)
      & n8 != n17
      & n7 = sum(n11,n17)
      & n6 = sum(n3,n3)
      & n3 = sum(n5,n19)
      & n10 != n13
      & n9 != n18
      & n2 = sum(n16,n7)
      & n11 != n20
      & n7 != n10
      & n4 = sum(n10,n15)
      & n5 = sum(n5,n0)
      & n0 = sum(n20,n1)
      & succ(n7) = n8
      & n14 = sum(n15,n20)
      & n3 = sum(n1,n2)
      & n2 = sum(n5,n18)
      & n1 = sum(n3,n19)
      & n9 = sum(n6,n3)
      & n3 != n5
      & n17 = sum(n1,n16)
      & n7 = sum(n1,n6)
      & sum(sum(pred(X32),succ(X32)),sum(pred(X33),succ(X33))) = X35
      & n1 != n5
      & n8 = sum(n17,n12)
      & n19 = sum(n13,n6)
      & n0 != n8
      & n2 = sum(n1,n1)
      & n14 = sum(n11,n3)
      & n5 = pred(n6)
      & n4 != n17
      & n18 = sum(n0,n18)
      & n2 != n15
      & n15 = pred(n16)
      & n2 = sum(n9,n14)
      & n13 != n14
      & sum(sum(pred(X16),succ(X16)),sum(pred(X17),succ(X17))) = X19
      & n11 = sum(n19,n13)
      & n13 != n16
      & n5 != n19
      & n3 != n14
      & n10 = sum(n19,n12)
      & n13 = sum(n18,n16)
      & n7 = sum(n18,n10)
      & n6 = sum(n16,n11)
      & n20 = sum(n14,n6)
      & n10 = sum(n11,n20)
      & succ(n9) = n10
      & n8 = sum(n4,n4)
      & n10 = sum(n9,n1)
      & n5 = sum(n6,n20)
      & n2 = sum(n12,n11)
      & n7 = sum(n9,n19)
      & n0 = sum(n6,n15)
      & sum(sum(pred(X30),succ(X30)),sum(pred(X31),succ(X31))) = X33
      & n8 != n10
      & n16 = sum(n11,n5)
      & sum(sum(pred(X36),succ(X36)),sum(pred(X37),succ(X37))) = X39
      & n2 != n13
      & n14 = sum(n5,n9)
      & n0 != n15
      & sum(sum(pred(X32),succ(X33)),sum(pred(X33),succ(X32))) = X34
      & n5 != n15
      & n9 != n13
      & sum(sum(pred(X6),succ(X6)),sum(pred(X7),succ(X7))) = X9
      & sum(sum(pred(X20),succ(X20)),sum(pred(X21),succ(X21))) = X23
      & n14 = sum(n4,n10)
      & n16 = sum(n19,n18)
      & n8 = sum(n9,n20)
      & n15 != n19
      & n3 != n17
      & n20 = sum(n9,n11)
      & n13 = sum(n14,n20)
      & n13 = sum(n12,n1)
      & n1 = sum(n16,n6)
      & n6 = sum(n8,n19)
      & n18 = sum(n17,n1)
      & succ(n3) = n4
      & n4 = sum(n1,n3)
      & n0 = sum(n14,n7)
      & n2 = sum(n20,n3)
      & n0 != n13
      & n9 != n10
      & n14 != n18
      & n11 = sum(n0,n11)
      & n20 = sum(n10,n10)
      & n5 = sum(n14,n12)
      & n6 != n16
      & n6 != n14
      & n16 = sum(n13,n3)
      & n1 = sum(n7,n15)
      & n20 = sum(n1,n19)
      & n4 != n18
      & n0 != n9
      & n6 = sum(n12,n15)
      & n5 != n16
      & n11 != n15
      & n14 = sum(n7,n7)
      & n13 = sum(n9,n4)
      & n13 = sum(n0,n13)
      & n18 = sum(n4,n14)
      & n11 != n19
      & n7 = sum(n16,n12)
      & n9 = pred(n10)
      & n14 = sum(n1,n13)
      & n6 = sum(n14,n13)
      & n3 != n7
      & n7 = sum(n6,n1)
      & n12 != n14
      & n11 = sum(n20,n12)
      & n13 != n15
      & n12 != n17
      & n20 = sum(n2,n18)
      & n12 = sum(n0,n12)
      & n6 != n13
      & sum(sum(pred(X4),succ(X4)),sum(pred(X5),succ(X5))) = X7
      & n16 = sum(n1,n15)
      & n14 = sum(n20,n15)
      & n10 = sum(n6,n4)
      & sum(sum(pred(X36),succ(X37)),sum(pred(X37),succ(X36))) = X38
      & n19 = sum(n5,n14)
      & n2 != n16
      & n6 = sum(n15,n12)
      & n14 = sum(n17,n18)
      & n18 = sum(n8,n10)
      & n18 = sum(n10,n8)
      & n1 != n20
      & n9 = sum(n20,n10)
      & n6 = pred(n7)
      & n1 = sum(n9,n13)
      & n17 != n20
      & n5 != n14
      & n7 != n9
      & n18 = sum(n19,n20)
      & n0 != n18
      & n12 = sum(n19,n14)
      & n4 != n6
      & n1 = sum(n13,n9)
      & n14 = pred(n15)
      & n11 = sum(n1,n10)
      & n3 != n10
      & n14 = sum(n13,n1)
      & n10 = sum(n13,n18)
      & succ(n2) = n3
      & n19 = sum(n12,n7)
      & n0 != n14
      & n4 != n14
      & n1 != n14
      & n14 = sum(n18,n17)
      & n11 = sum(n11,n0)
      & n18 = sum(n16,n2)
      & n13 = sum(n16,n18)
      & n14 = sum(n16,n19)
      & n0 != n17
      & n2 = sum(n8,n15)
      & sum(sum(pred(X38),succ(X39)),sum(pred(X39),succ(X38))) = X40
      & n5 != n6
      & n17 = sum(n9,n8)
      & n12 = sum(n12,n0)
      & n20 = sum(n11,n9)
      & n2 = sum(n7,n16)
      & n2 = sum(n17,n6)
      & n0 = sum(n19,n2)
      & n12 = sum(n1,n11)
      & sum(sum(pred(X0),succ(X0)),sum(pred(X1),succ(X1))) = X3
      & n9 != n11
      & n19 = sum(n15,n4)
      & n10 = sum(n7,n3)
      & n13 = sum(n20,n14)
      & n10 != n12
      & n4 = sum(n14,n11)
      & n3 = sum(n11,n13)
      & sum(sum(pred(X22),succ(X22)),sum(pred(X23),succ(X23))) = X25
      & n7 != n18
      & n19 = sum(n2,n17)
      & n4 != n20
      & sum(sum(pred(X28),succ(X28)),sum(pred(X29),succ(X29))) = X31
      & succ(n12) = n13
      & n16 = sum(n7,n9)
      & n19 = sum(n0,n19)
      & sum(sum(pred(X10),succ(X11)),sum(pred(X11),succ(X10))) = X12
      & sum(sum(pred(X20),succ(X21)),sum(pred(X21),succ(X20))) = X22
      & n1 = sum(n17,n5)
      & n10 = sum(n2,n8)
      & n16 = pred(n17)
      & n5 = sum(n20,n6)
      & n9 = sum(n17,n13)
      & n2 = sum(n2,n0)
      & n13 = sum(n6,n7)
      & n16 = sum(n0,n16)
      & n7 != n8
      & n4 = sum(n6,n19)
      & n5 = sum(n11,n15)
      & n2 = sum(n13,n10)
      & n19 = sum(n11,n8)
      & n10 != n17
      & sum(sum(pred(X34),succ(X35)),sum(pred(X35),succ(X34))) = X36
      & n2 = sum(n14,n9)
      & sum(sum(pred(X28),succ(X29)),sum(pred(X29),succ(X28))) = X30
      & n1 != n17
      & n15 = sum(n19,n17)
      & ( n3 = X1
        | n9 = X1
        | n7 = X1
        | n18 = X1
        | n2 = X1
        | n16 = X1
        | n5 = X1
        | n4 = X1
        | n15 = X1
        | n8 = X1
        | n13 = X1
        | n14 = X1
        | n11 = X1
        | n1 = X1
        | n0 = X1
        | n10 = X1
        | n6 = X1
        | n12 = X1
        | n19 = X1
        | n17 = X1
        | n20 = X1 )
      & n11 = sum(n5,n6)
      & n1 = sum(n5,n17)
      & n8 = sum(n14,n15)
      & n8 != n14
      & n1 = sum(n10,n12)
      & sum(sum(pred(X14),succ(X15)),sum(pred(X15),succ(X14))) = X16
      & n4 = sum(n4,n0)
      & n8 != n20
      & n3 != n9
      & n8 != n15
      & n6 = sum(n1,n5)
      & n7 = sum(n20,n8)
      & n3 = sum(n14,n10)
      & n0 != n2
      & succ(n14) = n15
      & n16 != n18
      & n7 = sum(n13,n15)
      & n15 != n18
      & n13 = sum(n8,n5)
      & n0 = succ(n20)
      & n18 = sum(n7,n11)
      & n5 != n11
      & n15 = sum(n17,n19)
      & n4 != n5
      & n4 = sum(n16,n9)
      & n15 = sum(n0,n15)
      & n4 = pred(n5)
      & n9 != n17
      & n4 != n11
      & n12 = sum(n16,n17)
      & n1 != n4
      & n18 = sum(n5,n13)
      & n7 = sum(n15,n13)
      & n1 != n12
      & n2 = sum(n15,n8)
      & n11 = sum(n16,n16)
      & n0 != n10
      & n16 = sum(n4,n12)
      & n19 = sum(n3,n16)
      & n9 = sum(n14,n16)
      & sum(sum(pred(X18),succ(X19)),sum(pred(X19),succ(X18))) = X20
      & n15 = sum(n8,n7)
      & n6 = sum(n2,n4)
      & n1 = sum(n12,n10)
      & n14 = sum(n12,n2)
      & n9 != n20
      & n13 = sum(n11,n2)
      & n12 != n19
      & n13 != n17
      & n18 = sum(n12,n6)
      & n5 = sum(n17,n9)
      & n11 = sum(n9,n2)
      & n8 = sum(n13,n16)
      & n1 != n2
      & n14 != n15
      & n7 != n16
      & n9 = sum(n8,n1)
      & n16 = sum(n15,n1)
      & n17 = sum(n15,n2)
      & n0 != n6
      & n13 != n18
      & n2 = sum(n4,n19)
      & sum(sum(pred(X34),succ(X34)),sum(pred(X35),succ(X35))) = X37
      & n19 = sum(n4,n15)
      & n12 = sum(n18,n15)
      & n4 != n9
      & n7 = sum(n14,n14)
      & n5 != n9
      & succ(n17) = n18
      & n20 = sum(n18,n2)
      & sum(sum(pred(X26),succ(X26)),sum(pred(X27),succ(X27))) = X29
      & n5 = sum(n16,n10)
      & n5 = sum(n15,n11)
      & n20 = sum(n6,n14)
      & n4 != n15
      & n8 != n12
      & n16 = sum(n20,n17)
      & n3 = pred(n4)
      & n17 = sum(n5,n12)
      & n2 = sum(n0,n2)
      & n4 != n16
      & n12 = sum(n10,n2)
      & n0 = sum(n11,n10)
      & n8 != n18
      & n6 != n10
      & n20 = pred(n0)
      & n11 = sum(n14,n18)
      & n19 = sum(n6,n13)
      & n5 != n17
      & n4 = sum(n2,n2)
      & n6 != n8
      & n8 = sum(n3,n5)
      & n15 = sum(n13,n2)
      & n11 != n12
      & n12 != n20
      & n9 = sum(n15,n15)
      & n8 = sum(n2,n6)
      & n1 != n15
      & n8 = sum(n7,n1)
      & n0 = sum(n5,n16)
      & n7 = sum(n17,n11)
      & n10 != n15
      & n19 = sum(n18,n1)
      & n1 = sum(n4,n18)
      & n3 = sum(n7,n17)
      & n14 = sum(n14,n0)
      & n5 = sum(n3,n2)
      & sum(sum(pred(X30),succ(X31)),sum(pred(X31),succ(X30))) = X32
      & n20 = sum(n7,n13)
      & n8 = sum(n20,n9)
      & n1 != n10
      & n12 = sum(n11,n1)
      & sum(sum(pred(X10),succ(X10)),sum(pred(X11),succ(X11))) = X13
      & sum(sum(pred(X26),succ(X27)),sum(pred(X27),succ(X26))) = X28
      & n15 = sum(n5,n10)
      & n3 = sum(n6,n18)
      & n10 = sum(n20,n11)
      & n17 = sum(n13,n4)
      & n4 = sum(n8,n17)
      & n5 != n12
      & n4 = sum(n12,n13)
      & n12 = sum(n20,n13)
      & n7 = sum(n19,n9)
      & n18 != n20
      & n7 != n11
      & n18 = sum(n15,n3)
      & n1 = pred(n2)
      & n0 = sum(n0,n0)
      & n15 = sum(n4,n11)
      & ( X28 != X29
        | X24 != X25
        | X6 != X7
        | X10 != X11
        | X16 != X17
        | X4 != X5
        | X26 != X27
        | X18 != X19
        | X8 != X9
        | X30 != X31
        | X36 != X37
        | X32 != X33
        | X38 != X39
        | X14 != X15
        | X34 != X35
        | X20 != X21
        | X40 != X41
        | X12 != X13
        | X2 != X3
        | X22 != X23 )
      & n15 = sum(n18,n18)
      & succ(n5) = n6
      & n16 = sum(n10,n6)
      & n1 != n18
      & n9 = sum(n10,n20)
      & n9 = sum(n13,n17)
      & succ(n13) = n14
      & n13 = sum(n13,n0)
      & sum(sum(pred(X24),succ(X24)),sum(pred(X25),succ(X25))) = X27
      & n3 = sum(n20,n4)
      & n19 = sum(n1,n18)
      & n12 = sum(n6,n6)
      & sum(sum(pred(X22),succ(X23)),sum(pred(X23),succ(X22))) = X24
      & n0 != n5
      & n11 = sum(n12,n20)
      & n8 = sum(n18,n11)
      & n2 != n5
      & n15 != n17
      & n10 != n19
      & n13 != n20
      & n9 = sum(n19,n11)
      & n1 != n6
      & n6 != n18
      & n12 = sum(n4,n8)
      & n2 != n8
      & n12 != n16
      & n2 != n14
      & n17 = sum(n16,n1)
      & n4 != n19
      & sum(sum(pred(X4),succ(X5)),sum(pred(X5),succ(X4))) = X6
      & n16 = sum(n18,n19)
      & n20 = sum(n20,n0)
      & n13 = sum(n17,n17)
      & sum(sum(pred(X16),succ(X17)),sum(pred(X17),succ(X16))) = X18
      & n14 = sum(n2,n12)
      & n10 = sum(n18,n13)
      & n17 = sum(n3,n14)
      & n20 = sum(n5,n15)
      & n13 = sum(n5,n8)
      & n5 = sum(n8,n18)
      & n11 = sum(n3,n8)
      & n3 != n11
      & n17 = sum(n8,n9)
      & n3 != n19
      & n3 = sum(n10,n14)
      & n10 = sum(n5,n5)
      & n1 != n16
      & n0 != n3
      & n8 != n16
      & n11 = sum(n4,n7)
      & n4 != n12
      & sum(sum(pred(X6),succ(X7)),sum(pred(X7),succ(X6))) = X8
      & n9 != n19
      & n4 = sum(n3,n1)
      & n17 = sum(n7,n10)
      & n17 = pred(n18)
      & n12 = sum(n13,n20)
      & n2 != n18
      & n3 != n18
      & n8 = sum(n10,n19)
      & n7 != n15
      & n7 = sum(n10,n18)
      & n1 != n3
      & n5 = sum(n19,n7)
      & n6 = sum(n17,n10)
      & succ(n15) = n16
      & n1 = sum(n15,n7)
      & n12 != n18
      & n18 = sum(n11,n7)
      & n17 = sum(n19,n19)
      & n7 = sum(n7,n0)
      & n6 != n17
      & n1 = sum(n11,n11)
      & n5 != n10
      & n16 = sum(n14,n2)
      & n19 = sum(n20,n20)
      & succ(n6) = n7
      & n0 != n1
      & n16 = sum(n6,n10)
      & n19 = sum(n19,n0)
      & n1 = sum(n1,n0)
      & n14 != n19
      & n8 != n19
      & n14 = sum(n8,n6)
      & n11 = sum(n18,n14)
      & n10 = sum(n4,n6)
      & n12 = sum(n7,n5)
      & sum(sum(pred(X24),succ(X25)),sum(pred(X25),succ(X24))) = X26
      & n0 = sum(n12,n9)
      & n14 = sum(n9,n5)
      & sum(sum(pred(X12),succ(X13)),sum(pred(X13),succ(X12))) = X14
      & n5 = sum(n12,n14)
      & n12 = sum(n14,n19)
      & n3 != n8
      & n15 = sum(n2,n13)
      & n1 != n8
      & n0 != n11
      & n5 != n18
      & n3 != n15
      & n3 = sum(n3,n0)
      & succ(n11) = n12
      & n4 = sum(n17,n8)
      & n3 = sum(n16,n8)
      & n1 != n7
      & n8 = sum(n12,n17)
      & n4 != n10
      & n6 = sum(n19,n8)
      & n17 = sum(n4,n13)
      & sum(sum(pred(X8),succ(X8)),sum(pred(X9),succ(X9))) = X11
      & n13 != n19
      & n15 = sum(n7,n8)
      & n16 = sum(n16,n0)
      & n15 = sum(n20,n16)
      & n6 != n12
      & n16 = sum(n2,n14)
      & n2 != n4
      & succ(n10) = n11
      & n6 != n11
      & n15 = sum(n12,n3)
      & n18 = sum(n1,n17)
      & n9 = sum(n12,n18)
      & n11 = sum(n6,n5)
      & n6 != n7
      & n17 != n19
      & n18 = sum(n2,n16)
      & n0 = sum(n1,n20)
      & n14 = sum(n0,n14)
      & n19 = sum(n10,n9)
      & n6 = sum(n11,n16)
      & n6 = sum(n0,n6)
      & n6 = sum(n7,n20)
      & n10 = sum(n8,n2)
      & n17 = sum(n18,n20)
      & n0 = sum(n8,n13)
      & n5 != n7
      & n3 = sum(n15,n9)
      & n9 = sum(n3,n6)
      & n9 = sum(n18,n12)
      & n2 != n20
      & n7 = pred(n8)
      & n0 = sum(n9,n12)
      & n20 = sum(n0,n20)
      & n2 != n19
      & n5 != n20
      & n5 = sum(n7,n19)
      & n7 = sum(n4,n3)
      & n10 = sum(n12,n19)
      & n0 != n20
      & n4 = sum(n18,n7)
      & n13 = sum(n4,n9)
      & n11 != n17
      & n12 = sum(n8,n4)
      & n14 != n17
      & n4 = sum(n7,n18)
      & n4 = sum(n0,n4)
      & n2 != n12
      & n18 = pred(n19)
      & n3 = sum(n18,n6)
      & n11 = sum(n2,n9)
      & n19 = sum(n7,n12)
      & n3 = sum(n2,n1)
      & ( n3 = X0
        | n14 = X0
        | n0 = X0
        | n13 = X0
        | n9 = X0
        | n1 = X0
        | n10 = X0
        | n18 = X0
        | n2 = X0
        | n15 = X0
        | n7 = X0
        | n12 = X0
        | n5 = X0
        | n19 = X0
        | n8 = X0
        | n16 = X0
        | n20 = X0
        | n4 = X0
        | n17 = X0
        | n6 = X0
        | n11 = X0 )
      & n12 = sum(n15,n18)
      & n11 = sum(n13,n19)
      & n18 = sum(n3,n15)
      & n8 != n13
      & n5 != n13
      & n3 != n13
      & n16 = sum(n5,n11)
      & n3 = sum(n13,n11)
      & n13 = sum(n3,n10)
      & n10 != n20
      & n5 = sum(n9,n17)
      & n2 = pred(n3)
      & n10 = sum(n0,n10)
      & n4 = sum(n19,n6)
      & n9 = sum(n7,n2)
      & n20 = sum(n8,n12)
      & n9 != n12
      & n10 = sum(n14,n17)
      & n10 = sum(n17,n14)
      & n7 != n20
      & n5 = sum(n4,n1)
      & n18 = sum(n20,n19)
      & n6 = sum(n13,n14)
      & n0 != n4
      & n6 = sum(n6,n0)
      & n0 = sum(n2,n19)
      & n18 = sum(n9,n9)
      & n0 = sum(n10,n11)
      & n0 = sum(n16,n5)
      & n1 = sum(n20,n2)
      & succ(n18) = n19
      & n15 = sum(n3,n12)
      & n17 = sum(n11,n6)
      & n17 = sum(n20,n18)
      & n13 = sum(n19,n15)
      & n13 = sum(n10,n3)
      & n0 != n19
      & n11 = sum(n8,n3)
      & n6 != n9
      & n17 = sum(n14,n3)
      & n5 = sum(n1,n4)
      & n7 != n12
      & n2 != n6
      & n2 = sum(n6,n17)
      & n1 != n13
      & n7 != n17
      & n9 != n15
      & n7 != n14
      & n6 = sum(n20,n7)
      & n5 = sum(n13,n13)
      & n0 != n7
      & n3 = sum(n17,n7)
      & n2 = sum(n11,n12)
      & succ(n16) = n17
      & n6 = sum(n10,n17)
      & n16 != n17
      & n0 = sum(n17,n4)
      & n7 = sum(n3,n4)
      & n2 != n3
      & n8 = sum(n6,n2)
      & n5 = sum(n2,n3)
      & n0 = sum(n4,n17)
      & sum(sum(pred(X18),succ(X18)),sum(pred(X19),succ(X19))) = X21
      & n17 = sum(n0,n17)
      & n2 != n11
      & n19 = sum(n16,n3)
      & n8 = sum(n1,n7)
      & n17 = sum(n17,n0)
      & n0 = pred(n1)
      & n18 = sum(n13,n5)
      & n3 != n16
      & n19 = sum(n9,n10)
      & n11 = sum(n15,n17)
      & n3 = sum(n8,n16)
      & n16 = sum(n8,n8)
      & n16 = sum(n17,n20)
      & n0 = sum(n7,n14)
      & sum(sum(pred(X38),succ(X38)),sum(pred(X39),succ(X39))) = X41
      & n1 != n9
      & n4 = sum(n20,n5)
      & n4 = sum(n15,n10)
      & n14 = sum(n19,n16)
      & n3 = sum(n19,n5)
      & n11 = sum(n17,n15)
      & succ(n19) = n20
      & n8 = sum(n8,n0)
      & n9 = sum(n9,n0)
      & n5 = sum(n18,n8)
      & n18 = sum(n18,n0)
      & n2 != n7
      & n9 = sum(n5,n4)
      & n11 != n13
      & n1 = sum(n2,n20)
      & sum(sum(pred(X8),succ(X9)),sum(pred(X9),succ(X8))) = X10
      & n12 = sum(n9,n3)
      & n9 = sum(n1,n8)
      & n8 = pred(n9)
      & n0 != n16
      & n8 = sum(n5,n3)
      & n20 = sum(n19,n1)
      & n17 = sum(n12,n5)
      & n7 != n19
      & n6 = sum(n9,n18)
      & n9 != n14
      & n11 != n14
      & n9 = sum(n4,n5)
      & n20 = sum(n16,n4)
      & n15 = sum(n16,n20)
      & n1 = sum(n18,n4)
      & n19 = sum(n17,n2)
      & n8 = sum(n11,n18)
      & n2 != n9
      & n12 = pred(n13)
      & n0 = sum(n18,n3)
      & n5 = sum(n10,n16)
      & n14 = sum(n3,n11)
      & n1 = sum(n6,n16)
      & n20 = sum(n17,n3)
      & n4 = sum(n11,n14)
      & n10 = sum(n10,n0)
      & n0 = sum(n3,n18)
      & n14 != n20
      & sum(sum(pred(X2),succ(X3)),sum(pred(X3),succ(X2))) = X4
      & n6 != n15
      & n4 != n13
      & n9 = sum(n16,n14)
      & n17 = sum(n6,n11)
      & n14 = sum(n10,n4)
      & n11 != n16
      & n20 = sum(n4,n16)
      & succ(n4) = n5
      & n7 = sum(n5,n2)
      & n6 = sum(n5,n1)
      & n10 != n18
      & n1 = sum(n14,n8)
      & n15 = sum(n6,n9)
      & n0 = sum(n13,n8)
      & n6 != n19
      & n7 = sum(n0,n7)
      & n16 != n20
      & n15 != n20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

fof(f4652,plain,
    spl42_794,
    inference(avatar_split_clause,[],[f422,f4649]) ).

fof(f4649,plain,
    ( spl42_794
  <=> n14 = sum(n20,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_794])]) ).

fof(f422,plain,
    n14 = sum(n20,n15),
    inference(cnf_transformation,[],[f5]) ).

fof(f4647,plain,
    spl42_793,
    inference(avatar_split_clause,[],[f104,f4644]) ).

fof(f4644,plain,
    ( spl42_793
  <=> n8 = sum(n1,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_793])]) ).

fof(f104,plain,
    n8 = sum(n1,n7),
    inference(cnf_transformation,[],[f5]) ).

fof(f4642,plain,
    ~ spl42_792,
    inference(avatar_split_clause,[],[f307,f4639]) ).

fof(f4639,plain,
    ( spl42_792
  <=> n6 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_792])]) ).

fof(f307,plain,
    n6 != n17,
    inference(cnf_transformation,[],[f5]) ).

fof(f4637,plain,
    ~ spl42_791,
    inference(avatar_split_clause,[],[f554,f4634]) ).

fof(f4634,plain,
    ( spl42_791
  <=> n0 = n4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_791])]) ).

fof(f554,plain,
    n0 != n4,
    inference(cnf_transformation,[],[f5]) ).

fof(f4632,plain,
    ~ spl42_790,
    inference(avatar_split_clause,[],[f106,f4629]) ).

fof(f4629,plain,
    ( spl42_790
  <=> n10 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_790])]) ).

fof(f106,plain,
    n10 != n14,
    inference(cnf_transformation,[],[f5]) ).

fof(f4627,plain,
    spl42_789,
    inference(avatar_split_clause,[],[f523,f4624]) ).

fof(f4624,plain,
    ( spl42_789
  <=> succ(n10) = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_789])]) ).

fof(f523,plain,
    succ(n10) = n11,
    inference(cnf_transformation,[],[f5]) ).

fof(f4622,plain,
    spl42_788,
    inference(avatar_split_clause,[],[f629,f4619]) ).

fof(f4619,plain,
    ( spl42_788
  <=> n10 = sum(n2,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_788])]) ).

fof(f629,plain,
    n10 = sum(n2,n8),
    inference(cnf_transformation,[],[f5]) ).

fof(f4617,plain,
    spl42_787,
    inference(avatar_split_clause,[],[f468,f4614]) ).

fof(f4614,plain,
    ( spl42_787
  <=> sum(sum(pred(sK8),succ(sK8)),sum(pred(sK27),succ(sK27))) = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_787])]) ).

fof(f468,plain,
    sum(sum(pred(sK8),succ(sK8)),sum(pred(sK27),succ(sK27))) = sK0,
    inference(cnf_transformation,[],[f5]) ).

fof(f4612,plain,
    ~ spl42_786,
    inference(avatar_split_clause,[],[f305,f4609]) ).

fof(f4609,plain,
    ( spl42_786
  <=> n3 = n5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_786])]) ).

fof(f305,plain,
    n3 != n5,
    inference(cnf_transformation,[],[f5]) ).

fof(f4607,plain,
    spl42_785,
    inference(avatar_split_clause,[],[f184,f4604]) ).

fof(f4604,plain,
    ( spl42_785
  <=> n1 = sum(n20,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_785])]) ).

fof(f184,plain,
    n1 = sum(n20,n2),
    inference(cnf_transformation,[],[f5]) ).

fof(f4602,plain,
    spl42_784,
    inference(avatar_split_clause,[],[f11,f4599]) ).

fof(f4599,plain,
    ( spl42_784
  <=> n12 = sum(n14,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_784])]) ).

fof(f11,plain,
    n12 = sum(n14,n19),
    inference(cnf_transformation,[],[f5]) ).

fof(f4597,plain,
    spl42_783,
    inference(avatar_split_clause,[],[f244,f4594]) ).

fof(f4594,plain,
    ( spl42_783
  <=> n16 = sum(n14,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_783])]) ).

fof(f244,plain,
    n16 = sum(n14,n2),
    inference(cnf_transformation,[],[f5]) ).

fof(f4592,plain,
    spl42_782,
    inference(avatar_split_clause,[],[f406,f4589]) ).

fof(f4589,plain,
    ( spl42_782
  <=> sum(sum(pred(sK13),succ(sK13)),sum(pred(sK35),succ(sK35))) = sK28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_782])]) ).

fof(f406,plain,
    sum(sum(pred(sK13),succ(sK13)),sum(pred(sK35),succ(sK35))) = sK28,
    inference(cnf_transformation,[],[f5]) ).

fof(f4587,plain,
    ~ spl42_781,
    inference(avatar_split_clause,[],[f233,f4584]) ).

fof(f4584,plain,
    ( spl42_781
  <=> n6 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_781])]) ).

fof(f233,plain,
    n6 != n20,
    inference(cnf_transformation,[],[f5]) ).

fof(f4582,plain,
    ~ spl42_780,
    inference(avatar_split_clause,[],[f138,f4579]) ).

fof(f4579,plain,
    ( spl42_780
  <=> n2 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_780])]) ).

fof(f138,plain,
    n2 != n15,
    inference(cnf_transformation,[],[f5]) ).

fof(f4577,plain,
    ~ spl42_779,
    inference(avatar_split_clause,[],[f183,f4574]) ).

fof(f4574,plain,
    ( spl42_779
  <=> n2 = n5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_779])]) ).

fof(f183,plain,
    n2 != n5,
    inference(cnf_transformation,[],[f5]) ).

fof(f4572,plain,
    spl42_778,
    inference(avatar_split_clause,[],[f682,f4569]) ).

fof(f4569,plain,
    ( spl42_778
  <=> n13 = sum(n13,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_778])]) ).

fof(f682,plain,
    n13 = sum(n13,n0),
    inference(cnf_transformation,[],[f5]) ).

fof(f4567,plain,
    ~ spl42_777,
    inference(avatar_split_clause,[],[f59,f4564]) ).

fof(f4564,plain,
    ( spl42_777
  <=> n1 = n3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_777])]) ).

fof(f59,plain,
    n1 != n3,
    inference(cnf_transformation,[],[f5]) ).

fof(f4562,plain,
    spl42_776,
    inference(avatar_split_clause,[],[f562,f4559]) ).

fof(f4559,plain,
    ( spl42_776
  <=> n10 = sum(n7,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_776])]) ).

fof(f562,plain,
    n10 = sum(n7,n3),
    inference(cnf_transformation,[],[f5]) ).

fof(f4557,plain,
    spl42_775,
    inference(avatar_split_clause,[],[f261,f4554]) ).

fof(f4554,plain,
    ( spl42_775
  <=> n20 = pred(n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_775])]) ).

fof(f261,plain,
    n20 = pred(n0),
    inference(cnf_transformation,[],[f5]) ).

fof(f4552,plain,
    spl42_774,
    inference(avatar_split_clause,[],[f695,f4549]) ).

fof(f4549,plain,
    ( spl42_774
  <=> n1 = sum(n7,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_774])]) ).

fof(f695,plain,
    n1 = sum(n7,n15),
    inference(cnf_transformation,[],[f5]) ).

fof(f4547,plain,
    ~ spl42_773,
    inference(avatar_split_clause,[],[f314,f4544]) ).

fof(f4544,plain,
    ( spl42_773
  <=> n2 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_773])]) ).

fof(f314,plain,
    n2 != n16,
    inference(cnf_transformation,[],[f5]) ).

fof(f4542,plain,
    spl42_772,
    inference(avatar_split_clause,[],[f616,f4539]) ).

fof(f4539,plain,
    ( spl42_772
  <=> n13 = sum(n9,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_772])]) ).

fof(f616,plain,
    n13 = sum(n9,n4),
    inference(cnf_transformation,[],[f5]) ).

fof(f4537,plain,
    ~ spl42_771,
    inference(avatar_split_clause,[],[f303,f4534]) ).

fof(f4534,plain,
    ( spl42_771
  <=> n6 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_771])]) ).

fof(f303,plain,
    n6 != n13,
    inference(cnf_transformation,[],[f5]) ).

fof(f4532,plain,
    spl42_770,
    inference(avatar_split_clause,[],[f549,f4529]) ).

fof(f4529,plain,
    ( spl42_770
  <=> n15 = sum(n1,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_770])]) ).

fof(f549,plain,
    n15 = sum(n1,n14),
    inference(cnf_transformation,[],[f5]) ).

fof(f4527,plain,
    spl42_769,
    inference(avatar_split_clause,[],[f281,f4524]) ).

fof(f4524,plain,
    ( spl42_769
  <=> n4 = sum(n14,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_769])]) ).

fof(f281,plain,
    n4 = sum(n14,n11),
    inference(cnf_transformation,[],[f5]) ).

fof(f4522,plain,
    spl42_768,
    inference(avatar_split_clause,[],[f272,f4519]) ).

fof(f4519,plain,
    ( spl42_768
  <=> n13 = sum(n6,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_768])]) ).

fof(f272,plain,
    n13 = sum(n6,n7),
    inference(cnf_transformation,[],[f5]) ).

fof(f4517,plain,
    ~ spl42_767,
    inference(avatar_split_clause,[],[f438,f4514]) ).

fof(f4514,plain,
    ( spl42_767
  <=> n11 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_767])]) ).

fof(f438,plain,
    n11 != n17,
    inference(cnf_transformation,[],[f5]) ).

fof(f4512,plain,
    spl42_766,
    inference(avatar_split_clause,[],[f371,f4509]) ).

fof(f4509,plain,
    ( spl42_766
  <=> n9 = sum(n17,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_766])]) ).

fof(f371,plain,
    n9 = sum(n17,n13),
    inference(cnf_transformation,[],[f5]) ).

fof(f4507,plain,
    spl42_765,
    inference(avatar_split_clause,[],[f635,f4504]) ).

fof(f4504,plain,
    ( spl42_765
  <=> n14 = sum(n13,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_765])]) ).

fof(f635,plain,
    n14 = sum(n13,n1),
    inference(cnf_transformation,[],[f5]) ).

fof(f4502,plain,
    spl42_764,
    inference(avatar_split_clause,[],[f662,f4499]) ).

fof(f4499,plain,
    ( spl42_764
  <=> n6 = sum(n10,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_764])]) ).

fof(f662,plain,
    n6 = sum(n10,n17),
    inference(cnf_transformation,[],[f5]) ).

fof(f4497,plain,
    spl42_763,
    inference(avatar_split_clause,[],[f242,f4494]) ).

fof(f4494,plain,
    ( spl42_763
  <=> n9 = sum(n10,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_763])]) ).

fof(f242,plain,
    n9 = sum(n10,n20),
    inference(cnf_transformation,[],[f5]) ).

fof(f4492,plain,
    spl42_762,
    inference(avatar_split_clause,[],[f29,f4489]) ).

fof(f4489,plain,
    ( spl42_762
  <=> n11 = sum(n15,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_762])]) ).

fof(f29,plain,
    n11 = sum(n15,n17),
    inference(cnf_transformation,[],[f5]) ).

fof(f4487,plain,
    spl42_761,
    inference(avatar_split_clause,[],[f6,f4484]) ).

fof(f4484,plain,
    ( spl42_761
  <=> n20 = sum(n4,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_761])]) ).

fof(f6,plain,
    n20 = sum(n4,n16),
    inference(cnf_transformation,[],[f5]) ).

fof(f4482,plain,
    spl42_760,
    inference(avatar_split_clause,[],[f195,f4479]) ).

fof(f4479,plain,
    ( spl42_760
  <=> n20 = sum(n17,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_760])]) ).

fof(f195,plain,
    n20 = sum(n17,n3),
    inference(cnf_transformation,[],[f5]) ).

fof(f4477,plain,
    spl42_759,
    inference(avatar_split_clause,[],[f373,f4474]) ).

fof(f4474,plain,
    ( spl42_759
  <=> n19 = sum(n0,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_759])]) ).

fof(f373,plain,
    n19 = sum(n0,n19),
    inference(cnf_transformation,[],[f5]) ).

fof(f4472,plain,
    spl42_758,
    inference(avatar_split_clause,[],[f17,f4469]) ).

fof(f4469,plain,
    ( spl42_758
  <=> n16 = sum(n6,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_758])]) ).

fof(f17,plain,
    n16 = sum(n6,n10),
    inference(cnf_transformation,[],[f5]) ).

fof(f4467,plain,
    spl42_757,
    inference(avatar_split_clause,[],[f712,f4464]) ).

fof(f4464,plain,
    ( spl42_757
  <=> n13 = sum(n8,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_757])]) ).

fof(f712,plain,
    n13 = sum(n8,n5),
    inference(cnf_transformation,[],[f5]) ).

fof(f4462,plain,
    spl42_756,
    inference(avatar_split_clause,[],[f643,f4459]) ).

fof(f4459,plain,
    ( spl42_756
  <=> n4 = sum(n4,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_756])]) ).

fof(f643,plain,
    n4 = sum(n4,n0),
    inference(cnf_transformation,[],[f5]) ).

fof(f4457,plain,
    spl42_755,
    inference(avatar_split_clause,[],[f343,f4454]) ).

fof(f4454,plain,
    ( spl42_755
  <=> sum(sum(pred(sK8),succ(sK27)),sum(pred(sK27),succ(sK8))) = sK9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_755])]) ).

fof(f343,plain,
    sum(sum(pred(sK8),succ(sK27)),sum(pred(sK27),succ(sK8))) = sK9,
    inference(cnf_transformation,[],[f5]) ).

fof(f4452,plain,
    ~ spl42_754,
    inference(avatar_split_clause,[],[f84,f4449]) ).

fof(f4449,plain,
    ( spl42_754
  <=> n1 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_754])]) ).

fof(f84,plain,
    n1 != n18,
    inference(cnf_transformation,[],[f5]) ).

fof(f4447,plain,
    spl42_753,
    inference(avatar_split_clause,[],[f514,f4444]) ).

fof(f4444,plain,
    ( spl42_753
  <=> n4 = sum(n20,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_753])]) ).

fof(f514,plain,
    n4 = sum(n20,n5),
    inference(cnf_transformation,[],[f5]) ).

fof(f4442,plain,
    ~ spl42_752,
    inference(avatar_split_clause,[],[f280,f4439]) ).

fof(f4439,plain,
    ( spl42_752
  <=> n6 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_752])]) ).

fof(f280,plain,
    n6 != n10,
    inference(cnf_transformation,[],[f5]) ).

fof(f4437,plain,
    spl42_751,
    inference(avatar_split_clause,[],[f153,f4434]) ).

fof(f4434,plain,
    ( spl42_751
  <=> n0 = sum(n10,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_751])]) ).

fof(f153,plain,
    n0 = sum(n10,n11),
    inference(cnf_transformation,[],[f5]) ).

fof(f4432,plain,
    ~ spl42_750,
    inference(avatar_split_clause,[],[f98,f4429]) ).

fof(f4429,plain,
    ( spl42_750
  <=> n7 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_750])]) ).

fof(f98,plain,
    n7 != n11,
    inference(cnf_transformation,[],[f5]) ).

fof(f4427,plain,
    spl42_749,
    inference(avatar_split_clause,[],[f390,f4424]) ).

fof(f4424,plain,
    ( spl42_749
  <=> n14 = sum(n6,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_749])]) ).

fof(f390,plain,
    n14 = sum(n6,n8),
    inference(cnf_transformation,[],[f5]) ).

fof(f4422,plain,
    spl42_748,
    inference(avatar_split_clause,[],[f628,f4419]) ).

fof(f4419,plain,
    ( spl42_748
  <=> sum(sum(pred(sK11),succ(sK11)),sum(pred(sK39),succ(sK39))) = sK32 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_748])]) ).

fof(f628,plain,
    sum(sum(pred(sK11),succ(sK11)),sum(pred(sK39),succ(sK39))) = sK32,
    inference(cnf_transformation,[],[f5]) ).

fof(f4417,plain,
    spl42_747,
    inference(avatar_split_clause,[],[f729,f4414]) ).

fof(f4414,plain,
    ( spl42_747
  <=> sum(sum(pred(sK29),succ(sK29)),sum(pred(sK1),succ(sK1))) = sK20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_747])]) ).

fof(f729,plain,
    sum(sum(pred(sK29),succ(sK29)),sum(pred(sK1),succ(sK1))) = sK20,
    inference(cnf_transformation,[],[f5]) ).

fof(f4412,plain,
    spl42_746,
    inference(avatar_split_clause,[],[f231,f4409]) ).

fof(f4409,plain,
    ( spl42_746
  <=> n17 = sum(n17,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_746])]) ).

fof(f231,plain,
    n17 = sum(n17,n0),
    inference(cnf_transformation,[],[f5]) ).

fof(f4407,plain,
    spl42_745,
    inference(avatar_split_clause,[],[f234,f4404]) ).

fof(f4404,plain,
    ( spl42_745
  <=> n12 = sum(n19,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_745])]) ).

fof(f234,plain,
    n12 = sum(n19,n14),
    inference(cnf_transformation,[],[f5]) ).

fof(f4402,plain,
    spl42_744,
    inference(avatar_split_clause,[],[f56,f4399]) ).

fof(f4399,plain,
    ( spl42_744
  <=> n2 = sum(n14,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_744])]) ).

fof(f56,plain,
    n2 = sum(n14,n9),
    inference(cnf_transformation,[],[f5]) ).

fof(f4397,plain,
    spl42_743,
    inference(avatar_split_clause,[],[f456,f4394]) ).

fof(f4394,plain,
    ( spl42_743
  <=> n15 = sum(n0,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_743])]) ).

fof(f456,plain,
    n15 = sum(n0,n15),
    inference(cnf_transformation,[],[f5]) ).

fof(f4392,plain,
    spl42_742,
    inference(avatar_split_clause,[],[f567,f4389]) ).

fof(f4389,plain,
    ( spl42_742
  <=> n11 = sum(n2,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_742])]) ).

fof(f567,plain,
    n11 = sum(n2,n9),
    inference(cnf_transformation,[],[f5]) ).

fof(f4387,plain,
    spl42_741,
    inference(avatar_split_clause,[],[f416,f4384]) ).

fof(f4384,plain,
    ( spl42_741
  <=> n17 = sum(n1,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_741])]) ).

fof(f416,plain,
    n17 = sum(n1,n16),
    inference(cnf_transformation,[],[f5]) ).

fof(f4382,plain,
    spl42_740,
    inference(avatar_split_clause,[],[f669,f4379]) ).

fof(f4379,plain,
    ( spl42_740
  <=> n10 = sum(n18,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_740])]) ).

fof(f669,plain,
    n10 = sum(n18,n13),
    inference(cnf_transformation,[],[f5]) ).

fof(f4377,plain,
    spl42_739,
    inference(avatar_split_clause,[],[f331,f4374]) ).

fof(f4374,plain,
    ( spl42_739
  <=> sK4 = sum(sum(pred(sK17),succ(sK17)),sum(pred(sK21),succ(sK21))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_739])]) ).

fof(f331,plain,
    sK4 = sum(sum(pred(sK17),succ(sK17)),sum(pred(sK21),succ(sK21))),
    inference(cnf_transformation,[],[f5]) ).

fof(f4372,plain,
    ~ spl42_738,
    inference(avatar_split_clause,[],[f322,f4369]) ).

fof(f4369,plain,
    ( spl42_738
  <=> n4 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_738])]) ).

fof(f322,plain,
    n4 != n12,
    inference(cnf_transformation,[],[f5]) ).

fof(f4367,plain,
    spl42_737,
    inference(avatar_split_clause,[],[f576,f4364]) ).

fof(f4364,plain,
    ( spl42_737
  <=> n18 = sum(n20,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_737])]) ).

fof(f576,plain,
    n18 = sum(n20,n19),
    inference(cnf_transformation,[],[f5]) ).

fof(f4362,plain,
    spl42_736,
    inference(avatar_split_clause,[],[f88,f4359]) ).

fof(f4359,plain,
    ( spl42_736
  <=> n5 = sum(n19,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_736])]) ).

fof(f88,plain,
    n5 = sum(n19,n7),
    inference(cnf_transformation,[],[f5]) ).

fof(f4357,plain,
    spl42_735,
    inference(avatar_split_clause,[],[f166,f4354]) ).

fof(f4354,plain,
    ( spl42_735
  <=> n0 = sum(n15,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_735])]) ).

fof(f166,plain,
    n0 = sum(n15,n6),
    inference(cnf_transformation,[],[f5]) ).

fof(f4352,plain,
    spl42_734,
    inference(avatar_split_clause,[],[f646,f4349]) ).

fof(f4349,plain,
    ( spl42_734
  <=> n7 = sum(n1,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_734])]) ).

fof(f646,plain,
    n7 = sum(n1,n6),
    inference(cnf_transformation,[],[f5]) ).

fof(f4347,plain,
    ~ spl42_733,
    inference(avatar_split_clause,[],[f633,f4344]) ).

fof(f4344,plain,
    ( spl42_733
  <=> n5 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_733])]) ).

fof(f633,plain,
    n5 != n12,
    inference(cnf_transformation,[],[f5]) ).

fof(f4342,plain,
    ~ spl42_732,
    inference(avatar_split_clause,[],[f538,f4339]) ).

fof(f4339,plain,
    ( spl42_732
  <=> n3 = n6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_732])]) ).

fof(f538,plain,
    n3 != n6,
    inference(cnf_transformation,[],[f5]) ).

fof(f4337,plain,
    spl42_731,
    inference(avatar_split_clause,[],[f35,f4334]) ).

fof(f4334,plain,
    ( spl42_731
  <=> sK36 = sum(sum(pred(sK6),succ(sK20)),sum(pred(sK20),succ(sK6))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_731])]) ).

fof(f35,plain,
    sK36 = sum(sum(pred(sK6),succ(sK20)),sum(pred(sK20),succ(sK6))),
    inference(cnf_transformation,[],[f5]) ).

fof(f4332,plain,
    ~ spl42_730,
    inference(avatar_split_clause,[],[f172,f4329]) ).

fof(f4329,plain,
    ( spl42_730
  <=> n10 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_730])]) ).

fof(f172,plain,
    n10 != n16,
    inference(cnf_transformation,[],[f5]) ).

fof(f4327,plain,
    ~ spl42_729,
    inference(avatar_split_clause,[],[f210,f4324]) ).

fof(f4324,plain,
    ( spl42_729
  <=> n5 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_729])]) ).

fof(f210,plain,
    n5 != n18,
    inference(cnf_transformation,[],[f5]) ).

fof(f4322,plain,
    ~ spl42_728,
    inference(avatar_split_clause,[],[f159,f4319]) ).

fof(f4319,plain,
    ( spl42_728
  <=> n5 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_728])]) ).

fof(f159,plain,
    n5 != n8,
    inference(cnf_transformation,[],[f5]) ).

fof(f4317,plain,
    spl42_727,
    inference(avatar_split_clause,[],[f328,f4314]) ).

fof(f4314,plain,
    ( spl42_727
  <=> n0 = sum(n12,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_727])]) ).

fof(f328,plain,
    n0 = sum(n12,n9),
    inference(cnf_transformation,[],[f5]) ).

fof(f4312,plain,
    spl42_726,
    inference(avatar_split_clause,[],[f21,f4309]) ).

fof(f4309,plain,
    ( spl42_726
  <=> sK7 = sum(sum(pred(sK40),succ(sK19)),sum(pred(sK19),succ(sK40))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_726])]) ).

fof(f21,plain,
    sK7 = sum(sum(pred(sK40),succ(sK19)),sum(pred(sK19),succ(sK40))),
    inference(cnf_transformation,[],[f5]) ).

fof(f4307,plain,
    spl42_725,
    inference(avatar_split_clause,[],[f14,f4304]) ).

fof(f4304,plain,
    ( spl42_725
  <=> n12 = sum(n11,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_725])]) ).

fof(f14,plain,
    n12 = sum(n11,n1),
    inference(cnf_transformation,[],[f5]) ).

fof(f4302,plain,
    spl42_724,
    inference(avatar_split_clause,[],[f241,f4299]) ).

fof(f4299,plain,
    ( spl42_724
  <=> n1 = sum(n1,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_724])]) ).

fof(f241,plain,
    n1 = sum(n1,n0),
    inference(cnf_transformation,[],[f5]) ).

fof(f4297,plain,
    spl42_723,
    inference(avatar_split_clause,[],[f155,f4294]) ).

fof(f4294,plain,
    ( spl42_723
  <=> n9 = pred(n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_723])]) ).

fof(f155,plain,
    n9 = pred(n10),
    inference(cnf_transformation,[],[f5]) ).

fof(f4292,plain,
    spl42_722,
    inference(avatar_split_clause,[],[f693,f4289]) ).

fof(f4289,plain,
    ( spl42_722
  <=> n1 = sum(n16,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_722])]) ).

fof(f693,plain,
    n1 = sum(n16,n6),
    inference(cnf_transformation,[],[f5]) ).

fof(f4287,plain,
    spl42_721,
    inference(avatar_split_clause,[],[f544,f4284]) ).

fof(f4284,plain,
    ( spl42_721
  <=> n15 = sum(n18,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_721])]) ).

fof(f544,plain,
    n15 = sum(n18,n18),
    inference(cnf_transformation,[],[f5]) ).

fof(f4282,plain,
    spl42_720,
    inference(avatar_split_clause,[],[f696,f4279]) ).

fof(f4279,plain,
    ( spl42_720
  <=> n7 = pred(n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_720])]) ).

fof(f696,plain,
    n7 = pred(n8),
    inference(cnf_transformation,[],[f5]) ).

fof(f4277,plain,
    ~ spl42_719,
    inference(avatar_split_clause,[],[f528,f4274]) ).

fof(f4274,plain,
    ( spl42_719
  <=> n8 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_719])]) ).

fof(f528,plain,
    n8 != n11,
    inference(cnf_transformation,[],[f5]) ).

fof(f4272,plain,
    spl42_718,
    inference(avatar_split_clause,[],[f46,f4269]) ).

fof(f4269,plain,
    ( spl42_718
  <=> n17 = sum(n3,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_718])]) ).

fof(f46,plain,
    n17 = sum(n3,n14),
    inference(cnf_transformation,[],[f5]) ).

fof(f4267,plain,
    spl42_717,
    inference(avatar_split_clause,[],[f636,f4264]) ).

fof(f4264,plain,
    ( spl42_717
  <=> n0 = sum(n0,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_717])]) ).

fof(f636,plain,
    n0 = sum(n0,n0),
    inference(cnf_transformation,[],[f5]) ).

fof(f4262,plain,
    spl42_716,
    inference(avatar_split_clause,[],[f432,f4259]) ).

fof(f4259,plain,
    ( spl42_716
  <=> n10 = sum(n6,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_716])]) ).

fof(f432,plain,
    n10 = sum(n6,n4),
    inference(cnf_transformation,[],[f5]) ).

fof(f4257,plain,
    spl42_715,
    inference(avatar_split_clause,[],[f443,f4254]) ).

fof(f4254,plain,
    ( spl42_715
  <=> n19 = sum(n11,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_715])]) ).

fof(f443,plain,
    n19 = sum(n11,n8),
    inference(cnf_transformation,[],[f5]) ).

fof(f4252,plain,
    spl42_714,
    inference(avatar_split_clause,[],[f43,f4249]) ).

fof(f4249,plain,
    ( spl42_714
  <=> succ(n6) = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_714])]) ).

fof(f43,plain,
    succ(n6) = n7,
    inference(cnf_transformation,[],[f5]) ).

fof(f4247,plain,
    spl42_713,
    inference(avatar_split_clause,[],[f498,f4244]) ).

fof(f4244,plain,
    ( spl42_713
  <=> n3 = sum(n13,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_713])]) ).

fof(f498,plain,
    n3 = sum(n13,n11),
    inference(cnf_transformation,[],[f5]) ).

fof(f4242,plain,
    spl42_712,
    inference(avatar_split_clause,[],[f311,f4239]) ).

fof(f4239,plain,
    ( spl42_712
  <=> n4 = sum(n2,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_712])]) ).

fof(f311,plain,
    n4 = sum(n2,n2),
    inference(cnf_transformation,[],[f5]) ).

fof(f4237,plain,
    ~ spl42_711,
    inference(avatar_split_clause,[],[f337,f4234]) ).

fof(f4234,plain,
    ( spl42_711
  <=> n13 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_711])]) ).

fof(f337,plain,
    n13 != n17,
    inference(cnf_transformation,[],[f5]) ).

fof(f4232,plain,
    ~ spl42_710,
    inference(avatar_split_clause,[],[f145,f4229]) ).

fof(f4229,plain,
    ( spl42_710
  <=> n5 = n6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_710])]) ).

fof(f145,plain,
    n5 != n6,
    inference(cnf_transformation,[],[f5]) ).

fof(f4227,plain,
    spl42_709,
    inference(avatar_split_clause,[],[f572,f4224]) ).

fof(f4224,plain,
    ( spl42_709
  <=> n17 = sum(n0,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_709])]) ).

fof(f572,plain,
    n17 = sum(n0,n17),
    inference(cnf_transformation,[],[f5]) ).

fof(f4222,plain,
    spl42_708,
    inference(avatar_split_clause,[],[f211,f4219]) ).

fof(f4219,plain,
    ( spl42_708
  <=> n19 = sum(n6,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_708])]) ).

fof(f211,plain,
    n19 = sum(n6,n13),
    inference(cnf_transformation,[],[f5]) ).

fof(f4217,plain,
    ~ spl42_707,
    inference(avatar_split_clause,[],[f76,f4214]) ).

fof(f4214,plain,
    ( spl42_707
  <=> n1 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_707])]) ).

fof(f76,plain,
    n1 != n16,
    inference(cnf_transformation,[],[f5]) ).

fof(f4212,plain,
    ~ spl42_706,
    inference(avatar_split_clause,[],[f710,f4209]) ).

fof(f4209,plain,
    ( spl42_706
  <=> n10 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_706])]) ).

fof(f710,plain,
    n10 != n13,
    inference(cnf_transformation,[],[f5]) ).

fof(f4207,plain,
    spl42_705,
    inference(avatar_split_clause,[],[f140,f4204]) ).

fof(f4204,plain,
    ( spl42_705
  <=> n15 = sum(n11,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_705])]) ).

fof(f140,plain,
    n15 = sum(n11,n4),
    inference(cnf_transformation,[],[f5]) ).

fof(f4202,plain,
    spl42_704,
    inference(avatar_split_clause,[],[f464,f4199]) ).

fof(f4199,plain,
    ( spl42_704
  <=> succ(n12) = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_704])]) ).

fof(f464,plain,
    succ(n12) = n13,
    inference(cnf_transformation,[],[f5]) ).

fof(f4197,plain,
    spl42_703,
    inference(avatar_split_clause,[],[f434,f4194]) ).

fof(f4194,plain,
    ( spl42_703
  <=> sum(sum(pred(sK41),succ(sK34)),sum(pred(sK34),succ(sK41))) = sK29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_703])]) ).

fof(f434,plain,
    sum(sum(pred(sK41),succ(sK34)),sum(pred(sK34),succ(sK41))) = sK29,
    inference(cnf_transformation,[],[f5]) ).

fof(f4192,plain,
    spl42_702,
    inference(avatar_split_clause,[],[f360,f4189]) ).

fof(f4189,plain,
    ( spl42_702
  <=> n16 = sum(n15,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_702])]) ).

fof(f360,plain,
    n16 = sum(n15,n1),
    inference(cnf_transformation,[],[f5]) ).

fof(f4187,plain,
    spl42_701,
    inference(avatar_split_clause,[],[f644,f4184]) ).

fof(f4184,plain,
    ( spl42_701
  <=> sum(sum(pred(sK22),succ(sK23)),sum(pred(sK23),succ(sK22))) = sK24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_701])]) ).

fof(f644,plain,
    sum(sum(pred(sK22),succ(sK23)),sum(pred(sK23),succ(sK22))) = sK24,
    inference(cnf_transformation,[],[f5]) ).

fof(f4182,plain,
    spl42_700,
    inference(avatar_split_clause,[],[f563,f4179]) ).

fof(f4179,plain,
    ( spl42_700
  <=> n5 = sum(n17,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_700])]) ).

fof(f563,plain,
    n5 = sum(n17,n9),
    inference(cnf_transformation,[],[f5]) ).

fof(f4177,plain,
    ~ spl42_699,
    inference(avatar_split_clause,[],[f698,f4174]) ).

fof(f4174,plain,
    ( spl42_699
  <=> n0 = n2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_699])]) ).

fof(f698,plain,
    n0 != n2,
    inference(cnf_transformation,[],[f5]) ).

fof(f4172,plain,
    spl42_698,
    inference(avatar_split_clause,[],[f268,f4169]) ).

fof(f4169,plain,
    ( spl42_698
  <=> n13 = pred(n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_698])]) ).

fof(f268,plain,
    n13 = pred(n14),
    inference(cnf_transformation,[],[f5]) ).

fof(f4167,plain,
    spl42_697,
    inference(avatar_split_clause,[],[f141,f4164]) ).

fof(f4164,plain,
    ( spl42_697
  <=> n13 = sum(n5,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_697])]) ).

fof(f141,plain,
    n13 = sum(n5,n8),
    inference(cnf_transformation,[],[f5]) ).

fof(f4162,plain,
    spl42_696,
    inference(avatar_split_clause,[],[f224,f4159]) ).

fof(f4159,plain,
    ( spl42_696
  <=> n10 = sum(n5,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_696])]) ).

fof(f224,plain,
    n10 = sum(n5,n5),
    inference(cnf_transformation,[],[f5]) ).

fof(f4157,plain,
    spl42_695,
    inference(avatar_split_clause,[],[f458,f4154]) ).

fof(f4154,plain,
    ( spl42_695
  <=> n10 = sum(n20,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_695])]) ).

fof(f458,plain,
    n10 = sum(n20,n11),
    inference(cnf_transformation,[],[f5]) ).

fof(f4152,plain,
    spl42_694,
    inference(avatar_split_clause,[],[f148,f4149]) ).

fof(f4149,plain,
    ( spl42_694
  <=> n10 = sum(n8,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_694])]) ).

fof(f148,plain,
    n10 = sum(n8,n2),
    inference(cnf_transformation,[],[f5]) ).

fof(f4147,plain,
    spl42_693,
    inference(avatar_split_clause,[],[f24,f4144]) ).

fof(f4144,plain,
    ( spl42_693
  <=> succ(n4) = n5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_693])]) ).

fof(f24,plain,
    succ(n4) = n5,
    inference(cnf_transformation,[],[f5]) ).

fof(f4142,plain,
    spl42_692,
    inference(avatar_split_clause,[],[f404,f4139]) ).

fof(f4139,plain,
    ( spl42_692
  <=> n14 = sum(n11,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_692])]) ).

fof(f404,plain,
    n14 = sum(n11,n3),
    inference(cnf_transformation,[],[f5]) ).

fof(f4137,plain,
    ~ spl42_691,
    inference(avatar_split_clause,[],[f239,f4134]) ).

fof(f4134,plain,
    ( spl42_691
  <=> n1 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_691])]) ).

fof(f239,plain,
    n1 != n19,
    inference(cnf_transformation,[],[f5]) ).

fof(f4132,plain,
    spl42_690,
    inference(avatar_split_clause,[],[f733,f4129]) ).

fof(f4129,plain,
    ( spl42_690
  <=> n6 = sum(n17,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_690])]) ).

fof(f733,plain,
    n6 = sum(n17,n10),
    inference(cnf_transformation,[],[f5]) ).

fof(f4127,plain,
    ~ spl42_689,
    inference(avatar_split_clause,[],[f69,f4124]) ).

fof(f4124,plain,
    ( spl42_689
  <=> n7 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_689])]) ).

fof(f69,plain,
    n7 != n18,
    inference(cnf_transformation,[],[f5]) ).

fof(f4122,plain,
    spl42_688,
    inference(avatar_split_clause,[],[f721,f4119]) ).

fof(f4119,plain,
    ( spl42_688
  <=> n20 = sum(n9,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_688])]) ).

fof(f721,plain,
    n20 = sum(n9,n11),
    inference(cnf_transformation,[],[f5]) ).

fof(f4117,plain,
    spl42_687,
    inference(avatar_split_clause,[],[f392,f4114]) ).

fof(f4114,plain,
    ( spl42_687
  <=> n1 = sum(n11,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_687])]) ).

fof(f392,plain,
    n1 = sum(n11,n11),
    inference(cnf_transformation,[],[f5]) ).

fof(f4112,plain,
    spl42_686,
    inference(avatar_split_clause,[],[f116,f4109]) ).

fof(f4109,plain,
    ( spl42_686
  <=> n12 = sum(n18,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_686])]) ).

fof(f116,plain,
    n12 = sum(n18,n15),
    inference(cnf_transformation,[],[f5]) ).

fof(f4107,plain,
    spl42_685,
    inference(avatar_split_clause,[],[f545,f4104]) ).

fof(f4104,plain,
    ( spl42_685
  <=> succ(n16) = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_685])]) ).

fof(f545,plain,
    succ(n16) = n17,
    inference(cnf_transformation,[],[f5]) ).

fof(f4102,plain,
    spl42_684,
    inference(avatar_split_clause,[],[f548,f4099]) ).

fof(f4099,plain,
    ( spl42_684
  <=> n7 = sum(n6,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_684])]) ).

fof(f548,plain,
    n7 = sum(n6,n1),
    inference(cnf_transformation,[],[f5]) ).

fof(f4097,plain,
    spl42_683,
    inference(avatar_split_clause,[],[f167,f4094]) ).

fof(f4094,plain,
    ( spl42_683
  <=> n16 = sum(n3,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_683])]) ).

fof(f167,plain,
    n16 = sum(n3,n13),
    inference(cnf_transformation,[],[f5]) ).

fof(f4092,plain,
    ~ spl42_682,
    inference(avatar_split_clause,[],[f326,f4089]) ).

fof(f4089,plain,
    ( spl42_682
  <=> n7 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_682])]) ).

fof(f326,plain,
    n7 != n19,
    inference(cnf_transformation,[],[f5]) ).

fof(f4087,plain,
    spl42_681,
    inference(avatar_split_clause,[],[f23,f4084]) ).

fof(f4084,plain,
    ( spl42_681
  <=> n7 = sum(n13,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_681])]) ).

fof(f23,plain,
    n7 = sum(n13,n15),
    inference(cnf_transformation,[],[f5]) ).

fof(f4082,plain,
    spl42_680,
    inference(avatar_split_clause,[],[f411,f4079]) ).

fof(f4079,plain,
    ( spl42_680
  <=> n16 = sum(n1,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_680])]) ).

fof(f411,plain,
    n16 = sum(n1,n15),
    inference(cnf_transformation,[],[f5]) ).

fof(f4077,plain,
    ~ spl42_679,
    inference(avatar_split_clause,[],[f225,f4074]) ).

fof(f4074,plain,
    ( spl42_679
  <=> n2 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_679])]) ).

fof(f225,plain,
    n2 != n12,
    inference(cnf_transformation,[],[f5]) ).

fof(f4072,plain,
    spl42_678,
    inference(avatar_split_clause,[],[f270,f4069]) ).

fof(f4069,plain,
    ( spl42_678
  <=> n17 = pred(n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_678])]) ).

fof(f270,plain,
    n17 = pred(n18),
    inference(cnf_transformation,[],[f5]) ).

fof(f4067,plain,
    spl42_677,
    inference(avatar_split_clause,[],[f204,f4064]) ).

fof(f4064,plain,
    ( spl42_677
  <=> n5 = sum(n8,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_677])]) ).

fof(f204,plain,
    n5 = sum(n8,n18),
    inference(cnf_transformation,[],[f5]) ).

fof(f4062,plain,
    ~ spl42_676,
    inference(avatar_split_clause,[],[f139,f4059]) ).

fof(f4059,plain,
    ( spl42_676
  <=> n18 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_676])]) ).

fof(f139,plain,
    n18 != n19,
    inference(cnf_transformation,[],[f5]) ).

fof(f4057,plain,
    spl42_675,
    inference(avatar_split_clause,[],[f53,f4054]) ).

fof(f4054,plain,
    ( spl42_675
  <=> n17 = sum(n4,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_675])]) ).

fof(f53,plain,
    n17 = sum(n4,n13),
    inference(cnf_transformation,[],[f5]) ).

fof(f4052,plain,
    spl42_674,
    inference(avatar_split_clause,[],[f28,f4049]) ).

fof(f4049,plain,
    ( spl42_674
  <=> n3 = sum(n3,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_674])]) ).

fof(f28,plain,
    n3 = sum(n3,n0),
    inference(cnf_transformation,[],[f5]) ).

fof(f4047,plain,
    spl42_673,
    inference(avatar_split_clause,[],[f715,f4044]) ).

fof(f4044,plain,
    ( spl42_673
  <=> n18 = sum(n13,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_673])]) ).

fof(f715,plain,
    n18 = sum(n13,n5),
    inference(cnf_transformation,[],[f5]) ).

fof(f4042,plain,
    spl42_672,
    inference(avatar_split_clause,[],[f182,f4039]) ).

fof(f4039,plain,
    ( spl42_672
  <=> n15 = sum(n13,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_672])]) ).

fof(f182,plain,
    n15 = sum(n13,n2),
    inference(cnf_transformation,[],[f5]) ).

fof(f4037,plain,
    ~ spl42_671,
    inference(avatar_split_clause,[],[f463,f4034]) ).

fof(f4034,plain,
    ( spl42_671
  <=> n7 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_671])]) ).

fof(f463,plain,
    n7 != n15,
    inference(cnf_transformation,[],[f5]) ).

fof(f4032,plain,
    spl42_670,
    inference(avatar_split_clause,[],[f90,f4029]) ).

fof(f4029,plain,
    ( spl42_670
  <=> n9 = sum(n0,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_670])]) ).

fof(f90,plain,
    n9 = sum(n0,n9),
    inference(cnf_transformation,[],[f5]) ).

fof(f4027,plain,
    ~ spl42_669,
    inference(avatar_split_clause,[],[f453,f4024]) ).

fof(f4024,plain,
    ( spl42_669
  <=> n2 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_669])]) ).

fof(f453,plain,
    n2 != n20,
    inference(cnf_transformation,[],[f5]) ).

fof(f4022,plain,
    ~ spl42_668,
    inference(avatar_split_clause,[],[f318,f4019]) ).

fof(f4019,plain,
    ( spl42_668
  <=> n0 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_668])]) ).

fof(f318,plain,
    n0 != n13,
    inference(cnf_transformation,[],[f5]) ).

fof(f4017,plain,
    spl42_667,
    inference(avatar_split_clause,[],[f409,f4014]) ).

fof(f4014,plain,
    ( spl42_667
  <=> n6 = sum(n15,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_667])]) ).

fof(f409,plain,
    n6 = sum(n15,n12),
    inference(cnf_transformation,[],[f5]) ).

fof(f4012,plain,
    spl42_666,
    inference(avatar_split_clause,[],[f251,f4009]) ).

fof(f4009,plain,
    ( spl42_666
  <=> n3 = sum(n6,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_666])]) ).

fof(f251,plain,
    n3 = sum(n6,n18),
    inference(cnf_transformation,[],[f5]) ).

fof(f4007,plain,
    spl42_665,
    inference(avatar_split_clause,[],[f489,f4004]) ).

fof(f4004,plain,
    ( spl42_665
  <=> n3 = sum(n9,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_665])]) ).

fof(f489,plain,
    n3 = sum(n9,n15),
    inference(cnf_transformation,[],[f5]) ).

fof(f4002,plain,
    ~ spl42_664,
    inference(avatar_split_clause,[],[f237,f3999]) ).

fof(f3999,plain,
    ( spl42_664
  <=> n15 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_664])]) ).

fof(f237,plain,
    n15 != n20,
    inference(cnf_transformation,[],[f5]) ).

fof(f3997,plain,
    ~ spl42_663,
    inference(avatar_split_clause,[],[f60,f3994]) ).

fof(f3994,plain,
    ( spl42_663
  <=> n2 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_663])]) ).

fof(f60,plain,
    n2 != n8,
    inference(cnf_transformation,[],[f5]) ).

fof(f3992,plain,
    spl42_662,
    inference(avatar_split_clause,[],[f391,f3989]) ).

fof(f3989,plain,
    ( spl42_662
  <=> n9 = sum(n1,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_662])]) ).

fof(f391,plain,
    n9 = sum(n1,n8),
    inference(cnf_transformation,[],[f5]) ).

fof(f3987,plain,
    spl42_661,
    inference(avatar_split_clause,[],[f294,f3984]) ).

fof(f3984,plain,
    ( spl42_661
  <=> n19 = sum(n10,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_661])]) ).

fof(f294,plain,
    n19 = sum(n10,n9),
    inference(cnf_transformation,[],[f5]) ).

fof(f3982,plain,
    ~ spl42_660,
    inference(avatar_split_clause,[],[f449,f3979]) ).

fof(f3979,plain,
    ( spl42_660
  <=> n2 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_660])]) ).

fof(f449,plain,
    n2 != n13,
    inference(cnf_transformation,[],[f5]) ).

fof(f3977,plain,
    spl42_659,
    inference(avatar_split_clause,[],[f592,f3974]) ).

fof(f3974,plain,
    ( spl42_659
  <=> n9 = sum(n2,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_659])]) ).

fof(f592,plain,
    n9 = sum(n2,n7),
    inference(cnf_transformation,[],[f5]) ).

fof(f3972,plain,
    spl42_658,
    inference(avatar_split_clause,[],[f722,f3969]) ).

fof(f3969,plain,
    ( spl42_658
  <=> n7 = sum(n7,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_658])]) ).

fof(f722,plain,
    n7 = sum(n7,n0),
    inference(cnf_transformation,[],[f5]) ).

fof(f3967,plain,
    spl42_657,
    inference(avatar_split_clause,[],[f377,f3964]) ).

fof(f3964,plain,
    ( spl42_657
  <=> n18 = sum(n16,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_657])]) ).

fof(f377,plain,
    n18 = sum(n16,n2),
    inference(cnf_transformation,[],[f5]) ).

fof(f3962,plain,
    ~ spl42_656,
    inference(avatar_split_clause,[],[f653,f3959]) ).

fof(f3959,plain,
    ( spl42_656
  <=> n8 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_656])]) ).

fof(f653,plain,
    n8 != n12,
    inference(cnf_transformation,[],[f5]) ).

fof(f3957,plain,
    spl42_655,
    inference(avatar_split_clause,[],[f212,f3954]) ).

fof(f3954,plain,
    ( spl42_655
  <=> n19 = sum(n12,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_655])]) ).

fof(f212,plain,
    n19 = sum(n12,n7),
    inference(cnf_transformation,[],[f5]) ).

fof(f3952,plain,
    spl42_654,
    inference(avatar_split_clause,[],[f13,f3949]) ).

fof(f3949,plain,
    ( spl42_654
  <=> n11 = sum(n0,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_654])]) ).

fof(f13,plain,
    n11 = sum(n0,n11),
    inference(cnf_transformation,[],[f5]) ).

fof(f3947,plain,
    ~ spl42_653,
    inference(avatar_split_clause,[],[f133,f3944]) ).

fof(f3944,plain,
    ( spl42_653
  <=> n6 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_653])]) ).

fof(f133,plain,
    n6 != n19,
    inference(cnf_transformation,[],[f5]) ).

fof(f3942,plain,
    spl42_652,
    inference(avatar_split_clause,[],[f507,f3939]) ).

fof(f3939,plain,
    ( spl42_652
  <=> n5 = sum(n3,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_652])]) ).

fof(f507,plain,
    n5 = sum(n3,n2),
    inference(cnf_transformation,[],[f5]) ).

fof(f3937,plain,
    ~ spl42_651,
    inference(avatar_split_clause,[],[f584,f3934]) ).

fof(f3934,plain,
    ( spl42_651
  <=> n5 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_651])]) ).

fof(f584,plain,
    n5 != n15,
    inference(cnf_transformation,[],[f5]) ).

fof(f3932,plain,
    spl42_650,
    inference(avatar_split_clause,[],[f578,f3929]) ).

fof(f3929,plain,
    ( spl42_650
  <=> n1 = sum(n8,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_650])]) ).

fof(f578,plain,
    n1 = sum(n8,n14),
    inference(cnf_transformation,[],[f5]) ).

fof(f3927,plain,
    spl42_649,
    inference(avatar_split_clause,[],[f315,f3924]) ).

fof(f3924,plain,
    ( spl42_649
  <=> n8 = sum(n12,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_649])]) ).

fof(f315,plain,
    n8 = sum(n12,n17),
    inference(cnf_transformation,[],[f5]) ).

fof(f3922,plain,
    spl42_648,
    inference(avatar_split_clause,[],[f541,f3919]) ).

fof(f3919,plain,
    ( spl42_648
  <=> n6 = sum(n19,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_648])]) ).

fof(f541,plain,
    n6 = sum(n19,n8),
    inference(cnf_transformation,[],[f5]) ).

fof(f3917,plain,
    spl42_647,
    inference(avatar_split_clause,[],[f177,f3914]) ).

fof(f3914,plain,
    ( spl42_647
  <=> sK38 = sum(sum(pred(sK22),succ(sK22)),sum(pred(sK23),succ(sK23))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_647])]) ).

fof(f177,plain,
    sK38 = sum(sum(pred(sK22),succ(sK22)),sum(pred(sK23),succ(sK23))),
    inference(cnf_transformation,[],[f5]) ).

fof(f3912,plain,
    spl42_646,
    inference(avatar_split_clause,[],[f610,f3909]) ).

fof(f3909,plain,
    ( spl42_646
  <=> n19 = sum(n5,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_646])]) ).

fof(f610,plain,
    n19 = sum(n5,n14),
    inference(cnf_transformation,[],[f5]) ).

fof(f3907,plain,
    ( spl42_625
    | spl42_626
    | spl42_627
    | spl42_628
    | spl42_629
    | spl42_630
    | spl42_631
    | spl42_632
    | spl42_633
    | spl42_634
    | spl42_635
    | spl42_636
    | spl42_637
    | spl42_638
    | spl42_639
    | spl42_640
    | spl42_641
    | spl42_642
    | spl42_643
    | spl42_644
    | spl42_645 ),
    inference(avatar_split_clause,[],[f709,f3904,f3900,f3896,f3892,f3888,f3884,f3880,f3876,f3872,f3868,f3864,f3860,f3856,f3852,f3848,f3844,f3840,f3836,f3832,f3828,f3824]) ).

fof(f3824,plain,
    ( spl42_625
  <=> n0 = sK22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_625])]) ).

fof(f3828,plain,
    ( spl42_626
  <=> n5 = sK22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_626])]) ).

fof(f3832,plain,
    ( spl42_627
  <=> n18 = sK22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_627])]) ).

fof(f3836,plain,
    ( spl42_628
  <=> n10 = sK22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_628])]) ).

fof(f3840,plain,
    ( spl42_629
  <=> n4 = sK22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_629])]) ).

fof(f3844,plain,
    ( spl42_630
  <=> n12 = sK22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_630])]) ).

fof(f3848,plain,
    ( spl42_631
  <=> n6 = sK22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_631])]) ).

fof(f3852,plain,
    ( spl42_632
  <=> n3 = sK22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_632])]) ).

fof(f3856,plain,
    ( spl42_633
  <=> n16 = sK22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_633])]) ).

fof(f3860,plain,
    ( spl42_634
  <=> n11 = sK22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_634])]) ).

fof(f3864,plain,
    ( spl42_635
  <=> n7 = sK22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_635])]) ).

fof(f3868,plain,
    ( spl42_636
  <=> n15 = sK22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_636])]) ).

fof(f3872,plain,
    ( spl42_637
  <=> n8 = sK22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_637])]) ).

fof(f3876,plain,
    ( spl42_638
  <=> n19 = sK22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_638])]) ).

fof(f3880,plain,
    ( spl42_639
  <=> n17 = sK22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_639])]) ).

fof(f3884,plain,
    ( spl42_640
  <=> n2 = sK22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_640])]) ).

fof(f3888,plain,
    ( spl42_641
  <=> n14 = sK22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_641])]) ).

fof(f3892,plain,
    ( spl42_642
  <=> n20 = sK22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_642])]) ).

fof(f3896,plain,
    ( spl42_643
  <=> n1 = sK22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_643])]) ).

fof(f3900,plain,
    ( spl42_644
  <=> n13 = sK22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_644])]) ).

fof(f3904,plain,
    ( spl42_645
  <=> n9 = sK22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_645])]) ).

fof(f709,plain,
    ( n9 = sK22
    | n13 = sK22
    | n1 = sK22
    | n20 = sK22
    | n14 = sK22
    | n2 = sK22
    | n17 = sK22
    | n19 = sK22
    | n8 = sK22
    | n15 = sK22
    | n7 = sK22
    | n11 = sK22
    | n16 = sK22
    | n3 = sK22
    | n6 = sK22
    | n12 = sK22
    | n4 = sK22
    | n10 = sK22
    | n18 = sK22
    | n5 = sK22
    | n0 = sK22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f3822,plain,
    ~ spl42_624,
    inference(avatar_split_clause,[],[f389,f3819]) ).

fof(f3819,plain,
    ( spl42_624
  <=> n5 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_624])]) ).

fof(f389,plain,
    n5 != n13,
    inference(cnf_transformation,[],[f5]) ).

fof(f3817,plain,
    spl42_623,
    inference(avatar_split_clause,[],[f622,f3814]) ).

fof(f3814,plain,
    ( spl42_623
  <=> n15 = sum(n9,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_623])]) ).

fof(f622,plain,
    n15 = sum(n9,n6),
    inference(cnf_transformation,[],[f5]) ).

fof(f3812,plain,
    spl42_622,
    inference(avatar_split_clause,[],[f590,f3809]) ).

fof(f3809,plain,
    ( spl42_622
  <=> succ(n14) = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_622])]) ).

fof(f590,plain,
    succ(n14) = n15,
    inference(cnf_transformation,[],[f5]) ).

fof(f3807,plain,
    spl42_621,
    inference(avatar_split_clause,[],[f720,f3804]) ).

fof(f3804,plain,
    ( spl42_621
  <=> n1 = sum(n18,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_621])]) ).

fof(f720,plain,
    n1 = sum(n18,n4),
    inference(cnf_transformation,[],[f5]) ).

fof(f3802,plain,
    ~ spl42_620,
    inference(avatar_split_clause,[],[f738,f3799]) ).

fof(f3799,plain,
    ( spl42_620
  <=> n8 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_620])]) ).

fof(f738,plain,
    n8 != n10,
    inference(cnf_transformation,[],[f5]) ).

fof(f3797,plain,
    ~ spl42_619,
    inference(avatar_split_clause,[],[f619,f3794]) ).

fof(f3794,plain,
    ( spl42_619
  <=> n10 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_619])]) ).

fof(f619,plain,
    n10 != n17,
    inference(cnf_transformation,[],[f5]) ).

fof(f3792,plain,
    spl42_618,
    inference(avatar_split_clause,[],[f103,f3789]) ).

fof(f3789,plain,
    ( spl42_618
  <=> n15 = sum(n4,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_618])]) ).

fof(f103,plain,
    n15 = sum(n4,n11),
    inference(cnf_transformation,[],[f5]) ).

fof(f3787,plain,
    spl42_617,
    inference(avatar_split_clause,[],[f663,f3784]) ).

fof(f3784,plain,
    ( spl42_617
  <=> n2 = sum(n18,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_617])]) ).

fof(f663,plain,
    n2 = sum(n18,n5),
    inference(cnf_transformation,[],[f5]) ).

fof(f3782,plain,
    spl42_616,
    inference(avatar_split_clause,[],[f346,f3779]) ).

fof(f3779,plain,
    ( spl42_616
  <=> n19 = pred(n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_616])]) ).

fof(f346,plain,
    n19 = pred(n20),
    inference(cnf_transformation,[],[f5]) ).

fof(f3777,plain,
    spl42_615,
    inference(avatar_split_clause,[],[f368,f3774]) ).

fof(f3774,plain,
    ( spl42_615
  <=> succ(n7) = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_615])]) ).

fof(f368,plain,
    succ(n7) = n8,
    inference(cnf_transformation,[],[f5]) ).

fof(f3772,plain,
    ~ spl42_614,
    inference(avatar_split_clause,[],[f246,f3769]) ).

fof(f3769,plain,
    ( spl42_614
  <=> n10 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_614])]) ).

fof(f246,plain,
    n10 != n11,
    inference(cnf_transformation,[],[f5]) ).

fof(f3767,plain,
    spl42_613,
    inference(avatar_split_clause,[],[f425,f3764]) ).

fof(f3764,plain,
    ( spl42_613
  <=> succ(n0) = n1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_613])]) ).

fof(f425,plain,
    succ(n0) = n1,
    inference(cnf_transformation,[],[f5]) ).

fof(f3762,plain,
    ~ spl42_612,
    inference(avatar_split_clause,[],[f185,f3759]) ).

fof(f3759,plain,
    ( spl42_612
  <=> n10 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_612])]) ).

fof(f185,plain,
    n10 != n19,
    inference(cnf_transformation,[],[f5]) ).

fof(f3757,plain,
    spl42_611,
    inference(avatar_split_clause,[],[f52,f3754]) ).

fof(f3754,plain,
    ( spl42_611
  <=> n7 = sum(n20,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_611])]) ).

fof(f52,plain,
    n7 = sum(n20,n8),
    inference(cnf_transformation,[],[f5]) ).

fof(f3752,plain,
    spl42_610,
    inference(avatar_split_clause,[],[f61,f3749]) ).

fof(f3749,plain,
    ( spl42_610
  <=> n8 = sum(n3,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_610])]) ).

fof(f61,plain,
    n8 = sum(n3,n5),
    inference(cnf_transformation,[],[f5]) ).

fof(f3747,plain,
    spl42_609,
    inference(avatar_split_clause,[],[f671,f3744]) ).

fof(f3744,plain,
    ( spl42_609
  <=> sum(sum(pred(sK36),succ(sK15)),sum(pred(sK15),succ(sK36))) = sK31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_609])]) ).

fof(f671,plain,
    sum(sum(pred(sK36),succ(sK15)),sum(pred(sK15),succ(sK36))) = sK31,
    inference(cnf_transformation,[],[f5]) ).

fof(f3742,plain,
    spl42_608,
    inference(avatar_split_clause,[],[f229,f3739]) ).

fof(f3739,plain,
    ( spl42_608
  <=> n15 = sum(n16,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_608])]) ).

fof(f229,plain,
    n15 = sum(n16,n20),
    inference(cnf_transformation,[],[f5]) ).

fof(f3737,plain,
    spl42_607,
    inference(avatar_split_clause,[],[f363,f3734]) ).

fof(f3734,plain,
    ( spl42_607
  <=> n13 = sum(n14,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_607])]) ).

fof(f363,plain,
    n13 = sum(n14,n20),
    inference(cnf_transformation,[],[f5]) ).

fof(f3732,plain,
    spl42_606,
    inference(avatar_split_clause,[],[f490,f3729]) ).

fof(f3729,plain,
    ( spl42_606
  <=> n12 = sum(n0,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_606])]) ).

fof(f490,plain,
    n12 = sum(n0,n12),
    inference(cnf_transformation,[],[f5]) ).

fof(f3727,plain,
    spl42_605,
    inference(avatar_split_clause,[],[f705,f3724]) ).

fof(f3724,plain,
    ( spl42_605
  <=> n15 = sum(n8,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_605])]) ).

fof(f705,plain,
    n15 = sum(n8,n7),
    inference(cnf_transformation,[],[f5]) ).

fof(f3722,plain,
    spl42_604,
    inference(avatar_split_clause,[],[f427,f3719]) ).

fof(f3719,plain,
    ( spl42_604
  <=> n1 = sum(n0,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_604])]) ).

fof(f427,plain,
    n1 = sum(n0,n1),
    inference(cnf_transformation,[],[f5]) ).

fof(f3717,plain,
    ~ spl42_603,
    inference(avatar_split_clause,[],[f279,f3714]) ).

fof(f3714,plain,
    ( spl42_603
  <=> n12 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_603])]) ).

fof(f279,plain,
    n12 != n19,
    inference(cnf_transformation,[],[f5]) ).

fof(f3712,plain,
    spl42_602,
    inference(avatar_split_clause,[],[f398,f3709]) ).

fof(f3709,plain,
    ( spl42_602
  <=> succ(n19) = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_602])]) ).

fof(f398,plain,
    succ(n19) = n20,
    inference(cnf_transformation,[],[f5]) ).

fof(f3707,plain,
    ~ spl42_601,
    inference(avatar_split_clause,[],[f558,f3704]) ).

fof(f3704,plain,
    ( spl42_601
  <=> n15 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_601])]) ).

fof(f558,plain,
    n15 != n19,
    inference(cnf_transformation,[],[f5]) ).

fof(f3702,plain,
    spl42_600,
    inference(avatar_split_clause,[],[f655,f3699]) ).

fof(f3699,plain,
    ( spl42_600
  <=> n2 = sum(n12,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_600])]) ).

fof(f655,plain,
    n2 = sum(n12,n11),
    inference(cnf_transformation,[],[f5]) ).

fof(f3697,plain,
    spl42_599,
    inference(avatar_split_clause,[],[f26,f3694]) ).

fof(f3694,plain,
    ( spl42_599
  <=> n12 = sum(n20,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_599])]) ).

fof(f26,plain,
    n12 = sum(n20,n13),
    inference(cnf_transformation,[],[f5]) ).

fof(f3692,plain,
    spl42_598,
    inference(avatar_split_clause,[],[f482,f3689]) ).

fof(f3689,plain,
    ( spl42_598
  <=> n3 = sum(n8,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_598])]) ).

fof(f482,plain,
    n3 = sum(n8,n16),
    inference(cnf_transformation,[],[f5]) ).

fof(f3687,plain,
    ~ spl42_597,
    inference(avatar_split_clause,[],[f414,f3684]) ).

fof(f3684,plain,
    ( spl42_597
  <=> n10 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_597])]) ).

fof(f414,plain,
    n10 != n20,
    inference(cnf_transformation,[],[f5]) ).

fof(f3682,plain,
    ~ spl42_596,
    inference(avatar_split_clause,[],[f461,f3679]) ).

fof(f3679,plain,
    ( spl42_596
  <=> n1 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_596])]) ).

fof(f461,plain,
    n1 != n8,
    inference(cnf_transformation,[],[f5]) ).

fof(f3677,plain,
    spl42_595,
    inference(avatar_split_clause,[],[f85,f3674]) ).

fof(f3674,plain,
    ( spl42_595
  <=> n8 = sum(n2,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_595])]) ).

fof(f85,plain,
    n8 = sum(n2,n6),
    inference(cnf_transformation,[],[f5]) ).

fof(f3672,plain,
    spl42_594,
    inference(avatar_split_clause,[],[f149,f3669]) ).

fof(f3669,plain,
    ( spl42_594
  <=> n9 = sum(n3,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_594])]) ).

fof(f149,plain,
    n9 = sum(n3,n6),
    inference(cnf_transformation,[],[f5]) ).

fof(f3667,plain,
    spl42_593,
    inference(avatar_split_clause,[],[f606,f3664]) ).

fof(f3664,plain,
    ( spl42_593
  <=> n1 = sum(n12,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_593])]) ).

fof(f606,plain,
    n1 = sum(n12,n10),
    inference(cnf_transformation,[],[f5]) ).

fof(f3662,plain,
    ~ spl42_592,
    inference(avatar_split_clause,[],[f117,f3659]) ).

fof(f3659,plain,
    ( spl42_592
  <=> n1 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_592])]) ).

fof(f117,plain,
    n1 != n15,
    inference(cnf_transformation,[],[f5]) ).

fof(f3657,plain,
    spl42_591,
    inference(avatar_split_clause,[],[f94,f3654]) ).

fof(f3654,plain,
    ( spl42_591
  <=> n17 = sum(n18,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_591])]) ).

fof(f94,plain,
    n17 = sum(n18,n20),
    inference(cnf_transformation,[],[f5]) ).

fof(f3652,plain,
    ~ spl42_590,
    inference(avatar_split_clause,[],[f565,f3649]) ).

fof(f3649,plain,
    ( spl42_590
  <=> n5 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_590])]) ).

fof(f565,plain,
    n5 != n20,
    inference(cnf_transformation,[],[f5]) ).

fof(f3647,plain,
    ~ spl42_589,
    inference(avatar_split_clause,[],[f205,f3644]) ).

fof(f3644,plain,
    ( spl42_589
  <=> n19 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_589])]) ).

fof(f205,plain,
    n19 != n20,
    inference(cnf_transformation,[],[f5]) ).

fof(f3642,plain,
    spl42_588,
    inference(avatar_split_clause,[],[f48,f3639]) ).

fof(f3639,plain,
    ( spl42_588
  <=> sK26 = sum(sum(pred(sK36),succ(sK36)),sum(pred(sK15),succ(sK15))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_588])]) ).

fof(f48,plain,
    sK26 = sum(sum(pred(sK36),succ(sK36)),sum(pred(sK15),succ(sK15))),
    inference(cnf_transformation,[],[f5]) ).

fof(f3637,plain,
    spl42_587,
    inference(avatar_split_clause,[],[f384,f3634]) ).

fof(f3634,plain,
    ( spl42_587
  <=> n19 = sum(n16,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_587])]) ).

fof(f384,plain,
    n19 = sum(n16,n3),
    inference(cnf_transformation,[],[f5]) ).

fof(f3632,plain,
    ~ spl42_586,
    inference(avatar_split_clause,[],[f640,f3629]) ).

fof(f3629,plain,
    ( spl42_586
  <=> n5 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_586])]) ).

fof(f640,plain,
    n5 != n9,
    inference(cnf_transformation,[],[f5]) ).

fof(f3627,plain,
    spl42_585,
    inference(avatar_split_clause,[],[f460,f3624]) ).

fof(f3624,plain,
    ( spl42_585
  <=> n20 = sum(n1,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_585])]) ).

fof(f460,plain,
    n20 = sum(n1,n19),
    inference(cnf_transformation,[],[f5]) ).

fof(f3622,plain,
    spl42_584,
    inference(avatar_split_clause,[],[f574,f3619]) ).

fof(f3619,plain,
    ( spl42_584
  <=> n20 = sum(n7,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_584])]) ).

fof(f574,plain,
    n20 = sum(n7,n13),
    inference(cnf_transformation,[],[f5]) ).

fof(f3617,plain,
    spl42_583,
    inference(avatar_split_clause,[],[f423,f3614]) ).

fof(f3614,plain,
    ( spl42_583
  <=> n5 = sum(n1,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_583])]) ).

fof(f423,plain,
    n5 = sum(n1,n4),
    inference(cnf_transformation,[],[f5]) ).

fof(f3612,plain,
    spl42_582,
    inference(avatar_split_clause,[],[f12,f3609]) ).

fof(f3609,plain,
    ( spl42_582
  <=> n7 = sum(n2,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_582])]) ).

fof(f12,plain,
    n7 = sum(n2,n5),
    inference(cnf_transformation,[],[f5]) ).

fof(f3607,plain,
    ~ spl42_581,
    inference(avatar_split_clause,[],[f645,f3604]) ).

fof(f3604,plain,
    ( spl42_581
  <=> n2 = n4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_581])]) ).

fof(f645,plain,
    n2 != n4,
    inference(cnf_transformation,[],[f5]) ).

fof(f3602,plain,
    spl42_580,
    inference(avatar_split_clause,[],[f249,f3599]) ).

fof(f3599,plain,
    ( spl42_580
  <=> n1 = sum(n15,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_580])]) ).

fof(f249,plain,
    n1 = sum(n15,n7),
    inference(cnf_transformation,[],[f5]) ).

fof(f3597,plain,
    spl42_579,
    inference(avatar_split_clause,[],[f396,f3594]) ).

fof(f3594,plain,
    ( spl42_579
  <=> n16 = sum(n18,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_579])]) ).

fof(f396,plain,
    n16 = sum(n18,n19),
    inference(cnf_transformation,[],[f5]) ).

fof(f3592,plain,
    ~ spl42_578,
    inference(avatar_split_clause,[],[f345,f3589]) ).

fof(f3589,plain,
    ( spl42_578
  <=> n4 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_578])]) ).

fof(f345,plain,
    n4 != n14,
    inference(cnf_transformation,[],[f5]) ).

fof(f3587,plain,
    spl42_577,
    inference(avatar_split_clause,[],[f33,f3584]) ).

fof(f3584,plain,
    ( spl42_577
  <=> n9 = sum(n19,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_577])]) ).

fof(f33,plain,
    n9 = sum(n19,n11),
    inference(cnf_transformation,[],[f5]) ).

fof(f3582,plain,
    spl42_576,
    inference(avatar_split_clause,[],[f213,f3579]) ).

fof(f3579,plain,
    ( spl42_576
  <=> n9 = sum(n16,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_576])]) ).

fof(f213,plain,
    n9 = sum(n16,n14),
    inference(cnf_transformation,[],[f5]) ).

fof(f3577,plain,
    spl42_575,
    inference(avatar_split_clause,[],[f668,f3574]) ).

fof(f3574,plain,
    ( spl42_575
  <=> n1 = sum(n3,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_575])]) ).

fof(f668,plain,
    n1 = sum(n3,n19),
    inference(cnf_transformation,[],[f5]) ).

fof(f3572,plain,
    spl42_574,
    inference(avatar_split_clause,[],[f685,f3569]) ).

fof(f3569,plain,
    ( spl42_574
  <=> n19 = sum(n3,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_574])]) ).

fof(f685,plain,
    n19 = sum(n3,n16),
    inference(cnf_transformation,[],[f5]) ).

fof(f3567,plain,
    spl42_573,
    inference(avatar_split_clause,[],[f105,f3564]) ).

fof(f3564,plain,
    ( spl42_573
  <=> n8 = sum(n0,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_573])]) ).

fof(f105,plain,
    n8 = sum(n0,n8),
    inference(cnf_transformation,[],[f5]) ).

fof(f3562,plain,
    ~ spl42_572,
    inference(avatar_split_clause,[],[f383,f3559]) ).

fof(f3559,plain,
    ( spl42_572
  <=> n0 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_572])]) ).

fof(f383,plain,
    n0 != n10,
    inference(cnf_transformation,[],[f5]) ).

fof(f3557,plain,
    ~ spl42_571,
    inference(avatar_split_clause,[],[f724,f3554]) ).

fof(f3554,plain,
    ( spl42_571
  <=> n3 = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_571])]) ).

fof(f724,plain,
    n3 != n7,
    inference(cnf_transformation,[],[f5]) ).

fof(f3552,plain,
    spl42_570,
    inference(avatar_split_clause,[],[f394,f3549]) ).

fof(f3549,plain,
    ( spl42_570
  <=> n4 = sum(n12,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_570])]) ).

fof(f394,plain,
    n4 = sum(n12,n13),
    inference(cnf_transformation,[],[f5]) ).

fof(f3547,plain,
    spl42_569,
    inference(avatar_split_clause,[],[f127,f3544]) ).

fof(f3544,plain,
    ( spl42_569
  <=> n16 = sum(n12,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_569])]) ).

fof(f127,plain,
    n16 = sum(n12,n4),
    inference(cnf_transformation,[],[f5]) ).

fof(f3542,plain,
    spl42_568,
    inference(avatar_split_clause,[],[f447,f3539]) ).

fof(f3539,plain,
    ( spl42_568
  <=> sK39 = sum(sum(pred(sK12),succ(sK12)),sum(pred(sK30),succ(sK30))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_568])]) ).

fof(f447,plain,
    sK39 = sum(sum(pred(sK12),succ(sK12)),sum(pred(sK30),succ(sK30))),
    inference(cnf_transformation,[],[f5]) ).

fof(f3537,plain,
    spl42_567,
    inference(avatar_split_clause,[],[f290,f3534]) ).

fof(f3534,plain,
    ( spl42_567
  <=> succ(n1) = n2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_567])]) ).

fof(f290,plain,
    succ(n1) = n2,
    inference(cnf_transformation,[],[f5]) ).

fof(f3532,plain,
    spl42_566,
    inference(avatar_split_clause,[],[f199,f3529]) ).

fof(f3529,plain,
    ( spl42_566
  <=> sum(sum(pred(sK13),succ(sK35)),sum(pred(sK35),succ(sK13))) = sK25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_566])]) ).

fof(f199,plain,
    sum(sum(pred(sK13),succ(sK35)),sum(pred(sK35),succ(sK13))) = sK25,
    inference(cnf_transformation,[],[f5]) ).

fof(f3527,plain,
    ~ spl42_565,
    inference(avatar_split_clause,[],[f727,f3524]) ).

fof(f3524,plain,
    ( spl42_565
  <=> n13 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_565])]) ).

fof(f727,plain,
    n13 != n18,
    inference(cnf_transformation,[],[f5]) ).

fof(f3522,plain,
    spl42_564,
    inference(avatar_split_clause,[],[f87,f3519]) ).

fof(f3519,plain,
    ( spl42_564
  <=> n18 = sum(n11,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_564])]) ).

fof(f87,plain,
    n18 = sum(n11,n7),
    inference(cnf_transformation,[],[f5]) ).

fof(f3517,plain,
    spl42_563,
    inference(avatar_split_clause,[],[f420,f3514]) ).

fof(f3514,plain,
    ( spl42_563
  <=> n19 = sum(n17,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_563])]) ).

fof(f420,plain,
    n19 = sum(n17,n2),
    inference(cnf_transformation,[],[f5]) ).

fof(f3512,plain,
    spl42_562,
    inference(avatar_split_clause,[],[f134,f3509]) ).

fof(f3509,plain,
    ( spl42_562
  <=> n2 = sum(n10,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_562])]) ).

fof(f134,plain,
    n2 = sum(n10,n13),
    inference(cnf_transformation,[],[f5]) ).

fof(f3507,plain,
    spl42_561,
    inference(avatar_split_clause,[],[f599,f3504]) ).

fof(f3504,plain,
    ( spl42_561
  <=> sum(sum(pred(sK33),succ(sK33)),sum(pred(sK4),succ(sK4))) = sK19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_561])]) ).

fof(f599,plain,
    sum(sum(pred(sK33),succ(sK33)),sum(pred(sK4),succ(sK4))) = sK19,
    inference(cnf_transformation,[],[f5]) ).

fof(f3502,plain,
    spl42_560,
    inference(avatar_split_clause,[],[f240,f3499]) ).

fof(f3499,plain,
    ( spl42_560
  <=> n8 = sum(n18,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_560])]) ).

fof(f240,plain,
    n8 = sum(n18,n11),
    inference(cnf_transformation,[],[f5]) ).

fof(f3497,plain,
    ~ spl42_559,
    inference(avatar_split_clause,[],[f369,f3494]) ).

fof(f3494,plain,
    ( spl42_559
  <=> n11 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_559])]) ).

fof(f369,plain,
    n11 != n12,
    inference(cnf_transformation,[],[f5]) ).

fof(f3492,plain,
    ~ spl42_558,
    inference(avatar_split_clause,[],[f64,f3489]) ).

fof(f3489,plain,
    ( spl42_558
  <=> n0 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_558])]) ).

fof(f64,plain,
    n0 != n11,
    inference(cnf_transformation,[],[f5]) ).

fof(f3487,plain,
    spl42_557,
    inference(avatar_split_clause,[],[f200,f3484]) ).

fof(f3484,plain,
    ( spl42_557
  <=> n14 = sum(n9,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_557])]) ).

fof(f200,plain,
    n14 = sum(n9,n5),
    inference(cnf_transformation,[],[f5]) ).

fof(f3482,plain,
    ~ spl42_556,
    inference(avatar_split_clause,[],[f510,f3479]) ).

fof(f3479,plain,
    ( spl42_556
  <=> n5 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_556])]) ).

fof(f510,plain,
    n5 != n10,
    inference(cnf_transformation,[],[f5]) ).

fof(f3477,plain,
    ~ spl42_555,
    inference(avatar_split_clause,[],[f500,f3474]) ).

fof(f3474,plain,
    ( spl42_555
  <=> n3 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_555])]) ).

fof(f500,plain,
    n3 != n8,
    inference(cnf_transformation,[],[f5]) ).

fof(f3472,plain,
    ~ spl42_554,
    inference(avatar_split_clause,[],[f310,f3469]) ).

fof(f3469,plain,
    ( spl42_554
  <=> n2 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_554])]) ).

fof(f310,plain,
    n2 != n14,
    inference(cnf_transformation,[],[f5]) ).

fof(f3467,plain,
    spl42_553,
    inference(avatar_split_clause,[],[f429,f3464]) ).

fof(f3464,plain,
    ( spl42_553
  <=> n19 = sum(n20,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_553])]) ).

fof(f429,plain,
    n19 = sum(n20,n20),
    inference(cnf_transformation,[],[f5]) ).

fof(f3462,plain,
    ~ spl42_552,
    inference(avatar_split_clause,[],[f186,f3459]) ).

fof(f3459,plain,
    ( spl42_552
  <=> n10 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_552])]) ).

fof(f186,plain,
    n10 != n12,
    inference(cnf_transformation,[],[f5]) ).

fof(f3457,plain,
    spl42_551,
    inference(avatar_split_clause,[],[f247,f3454]) ).

fof(f3454,plain,
    ( spl42_551
  <=> n7 = sum(n11,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_551])]) ).

fof(f247,plain,
    n7 = sum(n11,n17),
    inference(cnf_transformation,[],[f5]) ).

fof(f3452,plain,
    spl42_550,
    inference(avatar_split_clause,[],[f216,f3449]) ).

fof(f3449,plain,
    ( spl42_550
  <=> n15 = sum(n3,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_550])]) ).

fof(f216,plain,
    n15 = sum(n3,n12),
    inference(cnf_transformation,[],[f5]) ).

fof(f3447,plain,
    spl42_549,
    inference(avatar_split_clause,[],[f113,f3444]) ).

fof(f3444,plain,
    ( spl42_549
  <=> n1 = sum(n9,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_549])]) ).

fof(f113,plain,
    n1 = sum(n9,n13),
    inference(cnf_transformation,[],[f5]) ).

fof(f3442,plain,
    spl42_548,
    inference(avatar_split_clause,[],[f666,f3439]) ).

fof(f3439,plain,
    ( spl42_548
  <=> n12 = sum(n12,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_548])]) ).

fof(f666,plain,
    n12 = sum(n12,n0),
    inference(cnf_transformation,[],[f5]) ).

fof(f3437,plain,
    spl42_547,
    inference(avatar_split_clause,[],[f248,f3434]) ).

fof(f3434,plain,
    ( spl42_547
  <=> n20 = sum(n5,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_547])]) ).

fof(f248,plain,
    n20 = sum(n5,n15),
    inference(cnf_transformation,[],[f5]) ).

fof(f3432,plain,
    ~ spl42_546,
    inference(avatar_split_clause,[],[f670,f3429]) ).

fof(f3429,plain,
    ( spl42_546
  <=> n4 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_546])]) ).

fof(f670,plain,
    n4 != n16,
    inference(cnf_transformation,[],[f5]) ).

fof(f3427,plain,
    ~ spl42_545,
    inference(avatar_split_clause,[],[f176,f3424]) ).

fof(f3424,plain,
    ( spl42_545
  <=> n1 = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_545])]) ).

fof(f176,plain,
    n1 != n7,
    inference(cnf_transformation,[],[f5]) ).

fof(f3422,plain,
    spl42_544,
    inference(avatar_split_clause,[],[f335,f3419]) ).

fof(f3419,plain,
    ( spl42_544
  <=> n18 = sum(n9,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_544])]) ).

fof(f335,plain,
    n18 = sum(n9,n9),
    inference(cnf_transformation,[],[f5]) ).

fof(f3417,plain,
    ~ spl42_543,
    inference(avatar_split_clause,[],[f728,f3414]) ).

fof(f3414,plain,
    ( spl42_543
  <=> n12 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_543])]) ).

fof(f728,plain,
    n12 != n20,
    inference(cnf_transformation,[],[f5]) ).

fof(f3412,plain,
    ~ spl42_542,
    inference(avatar_split_clause,[],[f254,f3409]) ).

fof(f3409,plain,
    ( spl42_542
  <=> n12 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_542])]) ).

fof(f254,plain,
    n12 != n17,
    inference(cnf_transformation,[],[f5]) ).

fof(f3407,plain,
    spl42_541,
    inference(avatar_split_clause,[],[f448,f3404]) ).

fof(f3404,plain,
    ( spl42_541
  <=> sum(sum(pred(sK24),succ(sK24)),sum(pred(sK38),succ(sK38))) = sK5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_541])]) ).

fof(f448,plain,
    sum(sum(pred(sK24),succ(sK24)),sum(pred(sK38),succ(sK38))) = sK5,
    inference(cnf_transformation,[],[f5]) ).

fof(f3402,plain,
    spl42_540,
    inference(avatar_split_clause,[],[f730,f3399]) ).

fof(f3399,plain,
    ( spl42_540
  <=> n11 = sum(n8,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_540])]) ).

fof(f730,plain,
    n11 = sum(n8,n3),
    inference(cnf_transformation,[],[f5]) ).

fof(f3397,plain,
    spl42_539,
    inference(avatar_split_clause,[],[f519,f3394]) ).

fof(f3394,plain,
    ( spl42_539
  <=> n10 = sum(n19,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_539])]) ).

fof(f519,plain,
    n10 = sum(n19,n12),
    inference(cnf_transformation,[],[f5]) ).

fof(f3392,plain,
    spl42_538,
    inference(avatar_split_clause,[],[f132,f3389]) ).

fof(f3389,plain,
    ( spl42_538
  <=> succ(n2) = n3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_538])]) ).

fof(f132,plain,
    succ(n2) = n3,
    inference(cnf_transformation,[],[f5]) ).

fof(f3387,plain,
    spl42_537,
    inference(avatar_split_clause,[],[f354,f3384]) ).

fof(f3384,plain,
    ( spl42_537
  <=> n3 = sum(n19,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_537])]) ).

fof(f354,plain,
    n3 = sum(n19,n5),
    inference(cnf_transformation,[],[f5]) ).

fof(f3382,plain,
    ~ spl42_536,
    inference(avatar_split_clause,[],[f207,f3379]) ).

fof(f3379,plain,
    ( spl42_536
  <=> n3 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_536])]) ).

fof(f207,plain,
    n3 != n17,
    inference(cnf_transformation,[],[f5]) ).

fof(f3377,plain,
    spl42_535,
    inference(avatar_split_clause,[],[f81,f3374]) ).

fof(f3374,plain,
    ( spl42_535
  <=> sum(sum(pred(sK2),succ(sK5)),sum(pred(sK5),succ(sK2))) = sK18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_535])]) ).

fof(f81,plain,
    sum(sum(pred(sK2),succ(sK5)),sum(pred(sK5),succ(sK2))) = sK18,
    inference(cnf_transformation,[],[f5]) ).

fof(f3372,plain,
    spl42_534,
    inference(avatar_split_clause,[],[f68,f3369]) ).

fof(f3369,plain,
    ( spl42_534
  <=> n5 = sum(n12,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_534])]) ).

fof(f68,plain,
    n5 = sum(n12,n14),
    inference(cnf_transformation,[],[f5]) ).

fof(f3367,plain,
    spl42_533,
    inference(avatar_split_clause,[],[f95,f3364]) ).

fof(f3364,plain,
    ( spl42_533
  <=> n7 = sum(n12,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_533])]) ).

fof(f95,plain,
    n7 = sum(n12,n16),
    inference(cnf_transformation,[],[f5]) ).

fof(f3362,plain,
    spl42_532,
    inference(avatar_split_clause,[],[f571,f3359]) ).

fof(f3359,plain,
    ( spl42_532
  <=> n0 = sum(n4,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_532])]) ).

fof(f571,plain,
    n0 = sum(n4,n17),
    inference(cnf_transformation,[],[f5]) ).

fof(f3357,plain,
    spl42_531,
    inference(avatar_split_clause,[],[f131,f3354]) ).

fof(f3354,plain,
    ( spl42_531
  <=> n0 = sum(n5,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_531])]) ).

fof(f131,plain,
    n0 = sum(n5,n16),
    inference(cnf_transformation,[],[f5]) ).

fof(f3352,plain,
    spl42_530,
    inference(avatar_split_clause,[],[f73,f3349]) ).

fof(f3349,plain,
    ( spl42_530
  <=> n18 = sum(n19,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_530])]) ).

fof(f73,plain,
    n18 = sum(n19,n20),
    inference(cnf_transformation,[],[f5]) ).

fof(f3347,plain,
    spl42_529,
    inference(avatar_split_clause,[],[f9,f3344]) ).

fof(f3344,plain,
    ( spl42_529
  <=> n6 = sum(n4,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_529])]) ).

fof(f9,plain,
    n6 = sum(n4,n2),
    inference(cnf_transformation,[],[f5]) ).

fof(f3342,plain,
    spl42_528,
    inference(avatar_split_clause,[],[f295,f3339]) ).

fof(f3339,plain,
    ( spl42_528
  <=> n7 = sum(n17,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_528])]) ).

fof(f295,plain,
    n7 = sum(n17,n11),
    inference(cnf_transformation,[],[f5]) ).

fof(f3337,plain,
    ~ spl42_527,
    inference(avatar_split_clause,[],[f399,f3334]) ).

fof(f3334,plain,
    ( spl42_527
  <=> n9 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_527])]) ).

fof(f399,plain,
    n9 != n13,
    inference(cnf_transformation,[],[f5]) ).

fof(f3332,plain,
    spl42_526,
    inference(avatar_split_clause,[],[f521,f3329]) ).

fof(f3329,plain,
    ( spl42_526
  <=> succ(n9) = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_526])]) ).

fof(f521,plain,
    succ(n9) = n10,
    inference(cnf_transformation,[],[f5]) ).

fof(f3327,plain,
    spl42_525,
    inference(avatar_split_clause,[],[f243,f3324]) ).

fof(f3324,plain,
    ( spl42_525
  <=> n6 = sum(n7,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_525])]) ).

fof(f243,plain,
    n6 = sum(n7,n20),
    inference(cnf_transformation,[],[f5]) ).

fof(f3322,plain,
    spl42_524,
    inference(avatar_split_clause,[],[f178,f3319]) ).

fof(f3319,plain,
    ( spl42_524
  <=> n18 = sum(n15,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_524])]) ).

fof(f178,plain,
    n18 = sum(n15,n3),
    inference(cnf_transformation,[],[f5]) ).

fof(f3317,plain,
    spl42_523,
    inference(avatar_split_clause,[],[f366,f3314]) ).

fof(f3314,plain,
    ( spl42_523
  <=> n6 = sum(n20,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_523])]) ).

fof(f366,plain,
    n6 = sum(n20,n7),
    inference(cnf_transformation,[],[f5]) ).

fof(f3312,plain,
    spl42_522,
    inference(avatar_split_clause,[],[f292,f3309]) ).

fof(f3309,plain,
    ( spl42_522
  <=> n1 = sum(n2,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_522])]) ).

fof(f292,plain,
    n1 = sum(n2,n20),
    inference(cnf_transformation,[],[f5]) ).

fof(f3307,plain,
    spl42_521,
    inference(avatar_split_clause,[],[f714,f3304]) ).

fof(f3304,plain,
    ( spl42_521
  <=> n16 = sum(n7,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_521])]) ).

fof(f714,plain,
    n16 = sum(n7,n9),
    inference(cnf_transformation,[],[f5]) ).

fof(f3302,plain,
    spl42_520,
    inference(avatar_split_clause,[],[f37,f3299]) ).

fof(f3299,plain,
    ( spl42_520
  <=> sum(sum(pred(sK25),succ(sK25)),sum(pred(sK28),succ(sK28))) = sK30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_520])]) ).

fof(f37,plain,
    sum(sum(pred(sK25),succ(sK25)),sum(pred(sK28),succ(sK28))) = sK30,
    inference(cnf_transformation,[],[f5]) ).

fof(f3297,plain,
    spl42_519,
    inference(avatar_split_clause,[],[f236,f3294]) ).

fof(f3294,plain,
    ( spl42_519
  <=> n4 = sum(n5,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_519])]) ).

fof(f236,plain,
    n4 = sum(n5,n20),
    inference(cnf_transformation,[],[f5]) ).

fof(f3292,plain,
    ~ spl42_518,
    inference(avatar_split_clause,[],[f560,f3289]) ).

fof(f3289,plain,
    ( spl42_518
  <=> n8 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_518])]) ).

fof(f560,plain,
    n8 != n9,
    inference(cnf_transformation,[],[f5]) ).

fof(f3287,plain,
    ~ spl42_517,
    inference(avatar_split_clause,[],[f618,f3284]) ).

fof(f3284,plain,
    ( spl42_517
  <=> n14 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_517])]) ).

fof(f618,plain,
    n14 != n20,
    inference(cnf_transformation,[],[f5]) ).

fof(f3282,plain,
    spl42_516,
    inference(avatar_split_clause,[],[f598,f3279]) ).

fof(f3279,plain,
    ( spl42_516
  <=> n7 = sum(n0,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_516])]) ).

fof(f598,plain,
    n7 = sum(n0,n7),
    inference(cnf_transformation,[],[f5]) ).

fof(f3277,plain,
    ~ spl42_515,
    inference(avatar_split_clause,[],[f732,f3274]) ).

fof(f3274,plain,
    ( spl42_515
  <=> n0 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_515])]) ).

fof(f732,plain,
    n0 != n12,
    inference(cnf_transformation,[],[f5]) ).

fof(f3272,plain,
    spl42_514,
    inference(avatar_split_clause,[],[f475,f3269]) ).

fof(f3269,plain,
    ( spl42_514
  <=> n16 = sum(n10,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_514])]) ).

fof(f475,plain,
    n16 = sum(n10,n6),
    inference(cnf_transformation,[],[f5]) ).

fof(f3267,plain,
    spl42_513,
    inference(avatar_split_clause,[],[f451,f3264]) ).

fof(f3264,plain,
    ( spl42_513
  <=> n7 = sum(n5,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_513])]) ).

fof(f451,plain,
    n7 = sum(n5,n2),
    inference(cnf_transformation,[],[f5]) ).

fof(f3262,plain,
    spl42_512,
    inference(avatar_split_clause,[],[f277,f3259]) ).

fof(f3259,plain,
    ( spl42_512
  <=> n11 = sum(n17,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_512])]) ).

fof(f277,plain,
    n11 = sum(n17,n15),
    inference(cnf_transformation,[],[f5]) ).

fof(f3257,plain,
    spl42_511,
    inference(avatar_split_clause,[],[f491,f3254]) ).

fof(f3254,plain,
    ( spl42_511
  <=> n14 = sum(n1,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_511])]) ).

fof(f491,plain,
    n14 = sum(n1,n13),
    inference(cnf_transformation,[],[f5]) ).

fof(f3252,plain,
    ~ spl42_510,
    inference(avatar_split_clause,[],[f428,f3249]) ).

fof(f3249,plain,
    ( spl42_510
  <=> n1 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_510])]) ).

fof(f428,plain,
    n1 != n14,
    inference(cnf_transformation,[],[f5]) ).

fof(f3247,plain,
    spl42_509,
    inference(avatar_split_clause,[],[f478,f3244]) ).

fof(f3244,plain,
    ( spl42_509
  <=> n1 = sum(n19,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_509])]) ).

fof(f478,plain,
    n1 = sum(n19,n3),
    inference(cnf_transformation,[],[f5]) ).

fof(f3242,plain,
    spl42_508,
    inference(avatar_split_clause,[],[f129,f3239]) ).

fof(f3239,plain,
    ( spl42_508
  <=> n11 = sum(n3,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_508])]) ).

fof(f129,plain,
    n11 = sum(n3,n8),
    inference(cnf_transformation,[],[f5]) ).

fof(f3237,plain,
    spl42_507,
    inference(avatar_split_clause,[],[f465,f3234]) ).

fof(f3234,plain,
    ( spl42_507
  <=> n2 = sum(n15,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_507])]) ).

fof(f465,plain,
    n2 = sum(n15,n8),
    inference(cnf_transformation,[],[f5]) ).

fof(f3232,plain,
    ~ spl42_506,
    inference(avatar_split_clause,[],[f405,f3229]) ).

fof(f3229,plain,
    ( spl42_506
  <=> n1 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_506])]) ).

fof(f405,plain,
    n1 != n9,
    inference(cnf_transformation,[],[f5]) ).

fof(f3227,plain,
    spl42_505,
    inference(avatar_split_clause,[],[f725,f3224]) ).

fof(f3224,plain,
    ( spl42_505
  <=> sK10 = sum(sum(pred(sK3),succ(sK3)),sum(pred(sK32),succ(sK32))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_505])]) ).

fof(f725,plain,
    sK10 = sum(sum(pred(sK3),succ(sK3)),sum(pred(sK32),succ(sK32))),
    inference(cnf_transformation,[],[f5]) ).

fof(f3222,plain,
    ~ spl42_504,
    inference(avatar_split_clause,[],[f278,f3219]) ).

fof(f3219,plain,
    ( spl42_504
  <=> n8 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_504])]) ).

fof(f278,plain,
    n8 != n15,
    inference(cnf_transformation,[],[f5]) ).

fof(f3217,plain,
    spl42_503,
    inference(avatar_split_clause,[],[f395,f3214]) ).

fof(f3214,plain,
    ( spl42_503
  <=> n20 = sum(n15,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_503])]) ).

fof(f395,plain,
    n20 = sum(n15,n5),
    inference(cnf_transformation,[],[f5]) ).

fof(f3212,plain,
    spl42_502,
    inference(avatar_split_clause,[],[f283,f3209]) ).

fof(f3209,plain,
    ( spl42_502
  <=> n11 = sum(n4,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_502])]) ).

fof(f283,plain,
    n11 = sum(n4,n7),
    inference(cnf_transformation,[],[f5]) ).

fof(f3207,plain,
    spl42_501,
    inference(avatar_split_clause,[],[f357,f3204]) ).

fof(f3204,plain,
    ( spl42_501
  <=> n0 = sum(n9,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_501])]) ).

fof(f357,plain,
    n0 = sum(n9,n12),
    inference(cnf_transformation,[],[f5]) ).

fof(f3202,plain,
    ~ spl42_500,
    inference(avatar_split_clause,[],[f573,f3199]) ).

fof(f3199,plain,
    ( spl42_500
  <=> n4 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_500])]) ).

fof(f573,plain,
    n4 != n9,
    inference(cnf_transformation,[],[f5]) ).

fof(f3197,plain,
    spl42_499,
    inference(avatar_split_clause,[],[f609,f3194]) ).

fof(f3194,plain,
    ( spl42_499
  <=> n18 = sum(n17,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_499])]) ).

fof(f609,plain,
    n18 = sum(n17,n1),
    inference(cnf_transformation,[],[f5]) ).

fof(f3192,plain,
    spl42_498,
    inference(avatar_split_clause,[],[f333,f3189]) ).

fof(f3189,plain,
    ( spl42_498
  <=> n0 = sum(n6,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_498])]) ).

fof(f333,plain,
    n0 = sum(n6,n15),
    inference(cnf_transformation,[],[f5]) ).

fof(f3187,plain,
    spl42_497,
    inference(avatar_split_clause,[],[f101,f3184]) ).

fof(f3184,plain,
    ( spl42_497
  <=> n8 = sum(n9,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_497])]) ).

fof(f101,plain,
    n8 = sum(n9,n20),
    inference(cnf_transformation,[],[f5]) ).

fof(f3182,plain,
    spl42_496,
    inference(avatar_split_clause,[],[f71,f3179]) ).

fof(f3179,plain,
    ( spl42_496
  <=> n13 = sum(n10,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_496])]) ).

fof(f71,plain,
    n13 = sum(n10,n3),
    inference(cnf_transformation,[],[f5]) ).

fof(f3177,plain,
    spl42_495,
    inference(avatar_split_clause,[],[f457,f3174]) ).

fof(f3174,plain,
    ( spl42_495
  <=> n3 = sum(n14,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_495])]) ).

fof(f457,plain,
    n3 = sum(n14,n10),
    inference(cnf_transformation,[],[f5]) ).

fof(f3172,plain,
    spl42_494,
    inference(avatar_split_clause,[],[f543,f3169]) ).

fof(f3169,plain,
    ( spl42_494
  <=> n8 = sum(n14,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_494])]) ).

fof(f543,plain,
    n8 = sum(n14,n15),
    inference(cnf_transformation,[],[f5]) ).

fof(f3167,plain,
    spl42_493,
    inference(avatar_split_clause,[],[f613,f3164]) ).

fof(f3164,plain,
    ( spl42_493
  <=> n7 = sum(n3,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_493])]) ).

fof(f613,plain,
    n7 = sum(n3,n4),
    inference(cnf_transformation,[],[f5]) ).

fof(f3162,plain,
    ~ spl42_492,
    inference(avatar_split_clause,[],[f197,f3159]) ).

fof(f3159,plain,
    ( spl42_492
  <=> n4 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_492])]) ).

fof(f197,plain,
    n4 != n20,
    inference(cnf_transformation,[],[f5]) ).

fof(f3157,plain,
    spl42_491,
    inference(avatar_split_clause,[],[f650,f3154]) ).

fof(f3154,plain,
    ( spl42_491
  <=> n6 = sum(n0,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_491])]) ).

fof(f650,plain,
    n6 = sum(n0,n6),
    inference(cnf_transformation,[],[f5]) ).

fof(f3152,plain,
    spl42_490,
    inference(avatar_split_clause,[],[f570,f3149]) ).

fof(f3149,plain,
    ( spl42_490
  <=> n4 = sum(n0,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_490])]) ).

fof(f570,plain,
    n4 = sum(n0,n4),
    inference(cnf_transformation,[],[f5]) ).

fof(f3147,plain,
    spl42_489,
    inference(avatar_split_clause,[],[f591,f3144]) ).

fof(f3144,plain,
    ( spl42_489
  <=> n14 = sum(n4,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_489])]) ).

fof(f591,plain,
    n14 = sum(n4,n10),
    inference(cnf_transformation,[],[f5]) ).

fof(f3142,plain,
    spl42_488,
    inference(avatar_split_clause,[],[f19,f3139]) ).

fof(f3139,plain,
    ( spl42_488
  <=> n20 = sum(n14,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_488])]) ).

fof(f19,plain,
    n20 = sum(n14,n6),
    inference(cnf_transformation,[],[f5]) ).

fof(f3137,plain,
    spl42_487,
    inference(avatar_split_clause,[],[f367,f3134]) ).

fof(f3134,plain,
    ( spl42_487
  <=> n2 = sum(n4,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_487])]) ).

fof(f367,plain,
    n2 = sum(n4,n19),
    inference(cnf_transformation,[],[f5]) ).

fof(f3132,plain,
    ~ spl42_486,
    inference(avatar_split_clause,[],[f100,f3129]) ).

fof(f3129,plain,
    ( spl42_486
  <=> n12 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_486])]) ).

fof(f100,plain,
    n12 != n13,
    inference(cnf_transformation,[],[f5]) ).

fof(f3127,plain,
    spl42_485,
    inference(avatar_split_clause,[],[f421,f3124]) ).

fof(f3124,plain,
    ( spl42_485
  <=> n17 = sum(n13,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_485])]) ).

fof(f421,plain,
    n17 = sum(n13,n4),
    inference(cnf_transformation,[],[f5]) ).

fof(f3122,plain,
    spl42_484,
    inference(avatar_split_clause,[],[f702,f3119]) ).

fof(f3119,plain,
    ( spl42_484
  <=> sK14 = sum(sum(pred(sK2),succ(sK2)),sum(pred(sK5),succ(sK5))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_484])]) ).

fof(f702,plain,
    sK14 = sum(sum(pred(sK2),succ(sK2)),sum(pred(sK5),succ(sK5))),
    inference(cnf_transformation,[],[f5]) ).

fof(f3117,plain,
    spl42_483,
    inference(avatar_split_clause,[],[f107,f3114]) ).

fof(f3114,plain,
    ( spl42_483
  <=> n3 = sum(n12,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_483])]) ).

fof(f107,plain,
    n3 = sum(n12,n12),
    inference(cnf_transformation,[],[f5]) ).

fof(f3112,plain,
    spl42_482,
    inference(avatar_split_clause,[],[f146,f3109]) ).

fof(f3109,plain,
    ( spl42_482
  <=> n18 = sum(n7,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_482])]) ).

fof(f146,plain,
    n18 = sum(n7,n11),
    inference(cnf_transformation,[],[f5]) ).

fof(f3107,plain,
    ~ spl42_481,
    inference(avatar_split_clause,[],[f678,f3104]) ).

fof(f3104,plain,
    ( spl42_481
  <=> n17 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_481])]) ).

fof(f678,plain,
    n17 != n18,
    inference(cnf_transformation,[],[f5]) ).

fof(f3102,plain,
    spl42_480,
    inference(avatar_split_clause,[],[f32,f3099]) ).

fof(f3099,plain,
    ( spl42_480
  <=> n13 = sum(n18,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_480])]) ).

fof(f32,plain,
    n13 = sum(n18,n16),
    inference(cnf_transformation,[],[f5]) ).

fof(f3097,plain,
    spl42_479,
    inference(avatar_split_clause,[],[f496,f3094]) ).

fof(f3094,plain,
    ( spl42_479
  <=> n3 = sum(n1,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_479])]) ).

fof(f496,plain,
    n3 = sum(n1,n2),
    inference(cnf_transformation,[],[f5]) ).

fof(f3092,plain,
    spl42_478,
    inference(avatar_split_clause,[],[f321,f3089]) ).

fof(f3089,plain,
    ( spl42_478
  <=> n10 = pred(n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_478])]) ).

fof(f321,plain,
    n10 = pred(n11),
    inference(cnf_transformation,[],[f5]) ).

fof(f3087,plain,
    spl42_477,
    inference(avatar_split_clause,[],[f607,f3084]) ).

fof(f3084,plain,
    ( spl42_477
  <=> n8 = sum(n10,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_477])]) ).

fof(f607,plain,
    n8 = sum(n10,n19),
    inference(cnf_transformation,[],[f5]) ).

fof(f3082,plain,
    ~ spl42_476,
    inference(avatar_split_clause,[],[f75,f3079]) ).

fof(f3079,plain,
    ( spl42_476
  <=> n7 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_476])]) ).

fof(f75,plain,
    n7 != n12,
    inference(cnf_transformation,[],[f5]) ).

fof(f3077,plain,
    ~ spl42_475,
    inference(avatar_split_clause,[],[f454,f3074]) ).

fof(f3074,plain,
    ( spl42_475
  <=> n9 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_475])]) ).

fof(f454,plain,
    n9 != n18,
    inference(cnf_transformation,[],[f5]) ).

fof(f3072,plain,
    ~ spl42_474,
    inference(avatar_split_clause,[],[f436,f3069]) ).

fof(f3069,plain,
    ( spl42_474
  <=> n1 = n2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_474])]) ).

fof(f436,plain,
    n1 != n2,
    inference(cnf_transformation,[],[f5]) ).

fof(f3067,plain,
    spl42_473,
    inference(avatar_split_clause,[],[f108,f3064]) ).

fof(f3064,plain,
    ( spl42_473
  <=> n0 = sum(n19,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_473])]) ).

fof(f108,plain,
    n0 = sum(n19,n2),
    inference(cnf_transformation,[],[f5]) ).

fof(f3062,plain,
    spl42_472,
    inference(avatar_split_clause,[],[f687,f3059]) ).

fof(f3059,plain,
    ( spl42_472
  <=> n20 = sum(n10,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_472])]) ).

fof(f687,plain,
    n20 = sum(n10,n10),
    inference(cnf_transformation,[],[f5]) ).

fof(f3057,plain,
    ~ spl42_471,
    inference(avatar_split_clause,[],[f302,f3054]) ).

fof(f3054,plain,
    ( spl42_471
  <=> n7 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_471])]) ).

fof(f302,plain,
    n7 != n9,
    inference(cnf_transformation,[],[f5]) ).

fof(f3052,plain,
    spl42_470,
    inference(avatar_split_clause,[],[f467,f3049]) ).

fof(f3049,plain,
    ( spl42_470
  <=> n11 = sum(n1,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_470])]) ).

fof(f467,plain,
    n11 = sum(n1,n10),
    inference(cnf_transformation,[],[f5]) ).

fof(f3047,plain,
    spl42_469,
    inference(avatar_split_clause,[],[f517,f3044]) ).

fof(f3044,plain,
    ( spl42_469
  <=> n19 = sum(n13,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_469])]) ).

fof(f517,plain,
    n19 = sum(n13,n6),
    inference(cnf_transformation,[],[f5]) ).

fof(f3042,plain,
    spl42_468,
    inference(avatar_split_clause,[],[f102,f3039]) ).

fof(f3039,plain,
    ( spl42_468
  <=> n13 = sum(n20,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_468])]) ).

fof(f102,plain,
    n13 = sum(n20,n14),
    inference(cnf_transformation,[],[f5]) ).

fof(f3037,plain,
    ~ spl42_467,
    inference(avatar_split_clause,[],[f445,f3034]) ).

fof(f3034,plain,
    ( spl42_467
  <=> n13 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_467])]) ).

fof(f445,plain,
    n13 != n16,
    inference(cnf_transformation,[],[f5]) ).

fof(f3032,plain,
    ~ spl42_466,
    inference(avatar_split_clause,[],[f585,f3029]) ).

fof(f3029,plain,
    ( spl42_466
  <=> n12 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_466])]) ).

fof(f585,plain,
    n12 != n15,
    inference(cnf_transformation,[],[f5]) ).

fof(f3027,plain,
    spl42_465,
    inference(avatar_split_clause,[],[f109,f3024]) ).

fof(f3024,plain,
    ( spl42_465
  <=> n6 = sum(n8,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_465])]) ).

fof(f109,plain,
    n6 = sum(n8,n19),
    inference(cnf_transformation,[],[f5]) ).

fof(f3022,plain,
    spl42_464,
    inference(avatar_split_clause,[],[f594,f3019]) ).

fof(f3019,plain,
    ( spl42_464
  <=> n5 = sum(n20,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_464])]) ).

fof(f594,plain,
    n5 = sum(n20,n6),
    inference(cnf_transformation,[],[f5]) ).

fof(f3017,plain,
    ~ spl42_463,
    inference(avatar_split_clause,[],[f401,f3014]) ).

fof(f3014,plain,
    ( spl42_463
  <=> n3 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_463])]) ).

fof(f401,plain,
    n3 != n18,
    inference(cnf_transformation,[],[f5]) ).

fof(f3012,plain,
    spl42_462,
    inference(avatar_split_clause,[],[f121,f3009]) ).

fof(f3009,plain,
    ( spl42_462
  <=> n11 = sum(n7,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_462])]) ).

fof(f121,plain,
    n11 = sum(n7,n4),
    inference(cnf_transformation,[],[f5]) ).

fof(f3007,plain,
    ~ spl42_461,
    inference(avatar_split_clause,[],[f568,f3004]) ).

fof(f3004,plain,
    ( spl42_461
  <=> n1 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_461])]) ).

fof(f568,plain,
    n1 != n12,
    inference(cnf_transformation,[],[f5]) ).

fof(f3002,plain,
    spl42_460,
    inference(avatar_split_clause,[],[f267,f2999]) ).

fof(f2999,plain,
    ( spl42_460
  <=> n20 = sum(n18,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_460])]) ).

fof(f267,plain,
    n20 = sum(n18,n2),
    inference(cnf_transformation,[],[f5]) ).

fof(f2997,plain,
    ~ spl42_459,
    inference(avatar_split_clause,[],[f245,f2994]) ).

fof(f2994,plain,
    ( spl42_459
  <=> n14 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_459])]) ).

fof(f245,plain,
    n14 != n17,
    inference(cnf_transformation,[],[f5]) ).

fof(f2992,plain,
    ~ spl42_458,
    inference(avatar_split_clause,[],[f126,f2989]) ).

fof(f2989,plain,
    ( spl42_458
  <=> n15 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_458])]) ).

fof(f126,plain,
    n15 != n16,
    inference(cnf_transformation,[],[f5]) ).

fof(f2987,plain,
    ~ spl42_457,
    inference(avatar_split_clause,[],[f658,f2984]) ).

fof(f2984,plain,
    ( spl42_457
  <=> n6 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_457])]) ).

fof(f658,plain,
    n6 != n8,
    inference(cnf_transformation,[],[f5]) ).

fof(f2982,plain,
    spl42_456,
    inference(avatar_split_clause,[],[f704,f2979]) ).

fof(f2979,plain,
    ( spl42_456
  <=> n4 = sum(n8,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_456])]) ).

fof(f704,plain,
    n4 = sum(n8,n17),
    inference(cnf_transformation,[],[f5]) ).

fof(f2977,plain,
    ~ spl42_455,
    inference(avatar_split_clause,[],[f110,f2974]) ).

fof(f2974,plain,
    ( spl42_455
  <=> n0 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_455])]) ).

fof(f110,plain,
    n0 != n17,
    inference(cnf_transformation,[],[f5]) ).

fof(f2972,plain,
    ~ spl42_454,
    inference(avatar_split_clause,[],[f708,f2969]) ).

fof(f2969,plain,
    ( spl42_454
  <=> n5 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_454])]) ).

fof(f708,plain,
    n5 != n11,
    inference(cnf_transformation,[],[f5]) ).

fof(f2967,plain,
    spl42_453,
    inference(avatar_split_clause,[],[f250,f2964]) ).

fof(f2964,plain,
    ( spl42_453
  <=> n12 = sum(n2,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_453])]) ).

fof(f250,plain,
    n12 = sum(n2,n10),
    inference(cnf_transformation,[],[f5]) ).

fof(f2962,plain,
    spl42_452,
    inference(avatar_split_clause,[],[f617,f2959]) ).

fof(f2959,plain,
    ( spl42_452
  <=> n17 = sum(n2,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_452])]) ).

fof(f617,plain,
    n17 = sum(n2,n15),
    inference(cnf_transformation,[],[f5]) ).

fof(f2957,plain,
    ~ spl42_451,
    inference(avatar_split_clause,[],[f115,f2954]) ).

fof(f2954,plain,
    ( spl42_451
  <=> n0 = n3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_451])]) ).

fof(f115,plain,
    n0 != n3,
    inference(cnf_transformation,[],[f5]) ).

fof(f2952,plain,
    spl42_450,
    inference(avatar_split_clause,[],[f656,f2949]) ).

fof(f2949,plain,
    ( spl42_450
  <=> n14 = sum(n18,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_450])]) ).

fof(f656,plain,
    n14 = sum(n18,n17),
    inference(cnf_transformation,[],[f5]) ).

fof(f2947,plain,
    ~ spl42_449,
    inference(avatar_split_clause,[],[f550,f2944]) ).

fof(f2944,plain,
    ( spl42_449
  <=> n7 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_449])]) ).

fof(f550,plain,
    n7 != n13,
    inference(cnf_transformation,[],[f5]) ).

fof(f2942,plain,
    spl42_448,
    inference(avatar_split_clause,[],[f112,f2939]) ).

fof(f2939,plain,
    ( spl42_448
  <=> n1 = pred(n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_448])]) ).

fof(f112,plain,
    n1 = pred(n2),
    inference(cnf_transformation,[],[f5]) ).

fof(f2937,plain,
    ~ spl42_447,
    inference(avatar_split_clause,[],[f372,f2934]) ).

fof(f2934,plain,
    ( spl42_447
  <=> n13 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_447])]) ).

fof(f372,plain,
    n13 != n15,
    inference(cnf_transformation,[],[f5]) ).

fof(f2932,plain,
    ~ spl42_446,
    inference(avatar_split_clause,[],[f298,f2929]) ).

fof(f2929,plain,
    ( spl42_446
  <=> n9 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_446])]) ).

fof(f298,plain,
    n9 != n16,
    inference(cnf_transformation,[],[f5]) ).

fof(f2927,plain,
    spl42_445,
    inference(avatar_split_clause,[],[f700,f2924]) ).

fof(f2924,plain,
    ( spl42_445
  <=> n17 = sum(n12,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_445])]) ).

fof(f700,plain,
    n17 = sum(n12,n5),
    inference(cnf_transformation,[],[f5]) ).

fof(f2922,plain,
    spl42_444,
    inference(avatar_split_clause,[],[f413,f2919]) ).

fof(f2919,plain,
    ( spl42_444
  <=> n16 = sum(n2,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_444])]) ).

fof(f413,plain,
    n16 = sum(n2,n14),
    inference(cnf_transformation,[],[f5]) ).

fof(f2917,plain,
    spl42_443,
    inference(avatar_split_clause,[],[f719,f2914]) ).

fof(f2914,plain,
    ( spl42_443
  <=> n12 = sum(n15,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_443])]) ).

fof(f719,plain,
    n12 = sum(n15,n18),
    inference(cnf_transformation,[],[f5]) ).

fof(f2912,plain,
    ~ spl42_442,
    inference(avatar_split_clause,[],[f621,f2909]) ).

fof(f2909,plain,
    ( spl42_442
  <=> n4 = n5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_442])]) ).

fof(f621,plain,
    n4 != n5,
    inference(cnf_transformation,[],[f5]) ).

fof(f2907,plain,
    spl42_441,
    inference(avatar_split_clause,[],[f593,f2904]) ).

fof(f2904,plain,
    ( spl42_441
  <=> n3 = sum(n11,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_441])]) ).

fof(f593,plain,
    n3 = sum(n11,n13),
    inference(cnf_transformation,[],[f5]) ).

fof(f2902,plain,
    ~ spl42_440,
    inference(avatar_split_clause,[],[f472,f2899]) ).

fof(f2899,plain,
    ( spl42_440
  <=> n2 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_440])]) ).

fof(f472,plain,
    n2 != n9,
    inference(cnf_transformation,[],[f5]) ).

fof(f2897,plain,
    spl42_439,
    inference(avatar_split_clause,[],[f694,f2894]) ).

fof(f2894,plain,
    ( spl42_439
  <=> n8 = pred(n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_439])]) ).

fof(f694,plain,
    n8 = pred(n9),
    inference(cnf_transformation,[],[f5]) ).

fof(f2892,plain,
    ~ spl42_438,
    inference(avatar_split_clause,[],[f362,f2889]) ).

fof(f2889,plain,
    ( spl42_438
  <=> n16 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_438])]) ).

fof(f362,plain,
    n16 != n20,
    inference(cnf_transformation,[],[f5]) ).

fof(f2887,plain,
    spl42_437,
    inference(avatar_split_clause,[],[f651,f2884]) ).

fof(f2884,plain,
    ( spl42_437
  <=> n6 = sum(n18,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_437])]) ).

fof(f651,plain,
    n6 = sum(n18,n9),
    inference(cnf_transformation,[],[f5]) ).

fof(f2882,plain,
    spl42_436,
    inference(avatar_split_clause,[],[f542,f2879]) ).

fof(f2879,plain,
    ( spl42_436
  <=> n14 = sum(n2,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_436])]) ).

fof(f542,plain,
    n14 = sum(n2,n12),
    inference(cnf_transformation,[],[f5]) ).

fof(f2877,plain,
    ~ spl42_435,
    inference(avatar_split_clause,[],[f257,f2874]) ).

fof(f2874,plain,
    ( spl42_435
  <=> n0 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_435])]) ).

fof(f257,plain,
    n0 != n15,
    inference(cnf_transformation,[],[f5]) ).

fof(f2872,plain,
    spl42_434,
    inference(avatar_split_clause,[],[f66,f2869]) ).

fof(f2869,plain,
    ( spl42_434
  <=> n8 = sum(n13,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_434])]) ).

fof(f66,plain,
    n8 = sum(n13,n16),
    inference(cnf_transformation,[],[f5]) ).

fof(f2867,plain,
    spl42_433,
    inference(avatar_split_clause,[],[f330,f2864]) ).

fof(f2864,plain,
    ( spl42_433
  <=> n11 = sum(n13,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_433])]) ).

fof(f330,plain,
    n11 = sum(n13,n19),
    inference(cnf_transformation,[],[f5]) ).

fof(f2862,plain,
    spl42_432,
    inference(avatar_split_clause,[],[f441,f2859]) ).

fof(f2859,plain,
    ( spl42_432
  <=> n3 = sum(n18,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_432])]) ).

fof(f441,plain,
    n3 = sum(n18,n6),
    inference(cnf_transformation,[],[f5]) ).

fof(f2857,plain,
    spl42_431,
    inference(avatar_split_clause,[],[f407,f2854]) ).

fof(f2854,plain,
    ( spl42_431
  <=> n15 = sum(n17,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_431])]) ).

fof(f407,plain,
    n15 = sum(n17,n19),
    inference(cnf_transformation,[],[f5]) ).

fof(f2852,plain,
    spl42_430,
    inference(avatar_split_clause,[],[f25,f2849]) ).

fof(f2849,plain,
    ( spl42_430
  <=> n13 = sum(n1,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_430])]) ).

fof(f25,plain,
    n13 = sum(n1,n12),
    inference(cnf_transformation,[],[f5]) ).

fof(f2847,plain,
    spl42_429,
    inference(avatar_split_clause,[],[f446,f2844]) ).

fof(f2844,plain,
    ( spl42_429
  <=> n6 = sum(n16,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_429])]) ).

fof(f446,plain,
    n6 = sum(n16,n11),
    inference(cnf_transformation,[],[f5]) ).

fof(f2842,plain,
    ~ spl42_428,
    inference(avatar_split_clause,[],[f690,f2839]) ).

fof(f2839,plain,
    ( spl42_428
  <=> n6 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_428])]) ).

fof(f690,plain,
    n6 != n16,
    inference(cnf_transformation,[],[f5]) ).

fof(f2837,plain,
    ~ spl42_427,
    inference(avatar_split_clause,[],[f285,f2834]) ).

fof(f2834,plain,
    ( spl42_427
  <=> n3 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_427])]) ).

fof(f285,plain,
    n3 != n15,
    inference(cnf_transformation,[],[f5]) ).

fof(f2832,plain,
    spl42_426,
    inference(avatar_split_clause,[],[f16,f2829]) ).

fof(f2829,plain,
    ( spl42_426
  <=> n4 = sum(n6,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_426])]) ).

fof(f16,plain,
    n4 = sum(n6,n19),
    inference(cnf_transformation,[],[f5]) ).

fof(f2827,plain,
    spl42_425,
    inference(avatar_split_clause,[],[f276,f2824]) ).

fof(f2824,plain,
    ( spl42_425
  <=> n0 = sum(n1,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_425])]) ).

fof(f276,plain,
    n0 = sum(n1,n20),
    inference(cnf_transformation,[],[f5]) ).

fof(f2822,plain,
    spl42_424,
    inference(avatar_split_clause,[],[f520,f2819]) ).

fof(f2819,plain,
    ( spl42_424
  <=> n3 = sum(n7,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_424])]) ).

fof(f520,plain,
    n3 = sum(n7,n17),
    inference(cnf_transformation,[],[f5]) ).

fof(f2817,plain,
    ~ spl42_423,
    inference(avatar_split_clause,[],[f499,f2814]) ).

fof(f2814,plain,
    ( spl42_423
  <=> n12 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_423])]) ).

fof(f499,plain,
    n12 != n14,
    inference(cnf_transformation,[],[f5]) ).

fof(f2812,plain,
    spl42_422,
    inference(avatar_split_clause,[],[f287,f2809]) ).

fof(f2809,plain,
    ( spl42_422
  <=> n10 = sum(n0,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_422])]) ).

fof(f287,plain,
    n10 = sum(n0,n10),
    inference(cnf_transformation,[],[f5]) ).

fof(f2807,plain,
    spl42_421,
    inference(avatar_split_clause,[],[f626,f2804]) ).

fof(f2804,plain,
    ( spl42_421
  <=> n19 = sum(n8,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_421])]) ).

fof(f626,plain,
    n19 = sum(n8,n11),
    inference(cnf_transformation,[],[f5]) ).

fof(f2802,plain,
    ~ spl42_420,
    inference(avatar_split_clause,[],[f36,f2799]) ).

fof(f2799,plain,
    ( spl42_420
  <=> n0 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_420])]) ).

fof(f36,plain,
    n0 != n20,
    inference(cnf_transformation,[],[f5]) ).

fof(f2797,plain,
    spl42_419,
    inference(avatar_split_clause,[],[f256,f2794]) ).

fof(f2794,plain,
    ( spl42_419
  <=> n4 = sum(n9,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_419])]) ).

fof(f256,plain,
    n4 = sum(n9,n16),
    inference(cnf_transformation,[],[f5]) ).

fof(f2792,plain,
    spl42_418,
    inference(avatar_split_clause,[],[f206,f2789]) ).

fof(f2789,plain,
    ( spl42_418
  <=> n16 = sum(n19,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_418])]) ).

fof(f206,plain,
    n16 = sum(n19,n18),
    inference(cnf_transformation,[],[f5]) ).

fof(f2787,plain,
    spl42_417,
    inference(avatar_split_clause,[],[f51,f2784]) ).

fof(f2784,plain,
    ( spl42_417
  <=> n11 = sum(n20,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_417])]) ).

fof(f51,plain,
    n11 = sum(n20,n12),
    inference(cnf_transformation,[],[f5]) ).

fof(f2782,plain,
    spl42_416,
    inference(avatar_split_clause,[],[f546,f2779]) ).

fof(f2779,plain,
    ( spl42_416
  <=> n2 = sum(n6,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_416])]) ).

fof(f546,plain,
    n2 = sum(n6,n17),
    inference(cnf_transformation,[],[f5]) ).

fof(f2777,plain,
    spl42_415,
    inference(avatar_split_clause,[],[f657,f2774]) ).

fof(f2774,plain,
    ( spl42_415
  <=> n0 = pred(n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_415])]) ).

fof(f657,plain,
    n0 = pred(n1),
    inference(cnf_transformation,[],[f5]) ).

fof(f2772,plain,
    spl42_414,
    inference(avatar_split_clause,[],[f262,f2769]) ).

fof(f2769,plain,
    ( spl42_414
  <=> n18 = sum(n10,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_414])]) ).

fof(f262,plain,
    n18 = sum(n10,n8),
    inference(cnf_transformation,[],[f5]) ).

fof(f2767,plain,
    spl42_413,
    inference(avatar_split_clause,[],[f119,f2764]) ).

fof(f2764,plain,
    ( spl42_413
  <=> n18 = sum(n8,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_413])]) ).

fof(f119,plain,
    n18 = sum(n8,n10),
    inference(cnf_transformation,[],[f5]) ).

fof(f2762,plain,
    ~ spl42_412,
    inference(avatar_split_clause,[],[f340,f2759]) ).

fof(f2759,plain,
    ( spl42_412
  <=> n13 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_412])]) ).

fof(f340,plain,
    n13 != n20,
    inference(cnf_transformation,[],[f5]) ).

fof(f2757,plain,
    ~ spl42_411,
    inference(avatar_split_clause,[],[f22,f2754]) ).

fof(f2754,plain,
    ( spl42_411
  <=> n11 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_411])]) ).

fof(f22,plain,
    n11 != n20,
    inference(cnf_transformation,[],[f5]) ).

fof(f2752,plain,
    spl42_410,
    inference(avatar_split_clause,[],[f440,f2749]) ).

fof(f2749,plain,
    ( spl42_410
  <=> n17 = sum(n5,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_410])]) ).

fof(f440,plain,
    n17 = sum(n5,n12),
    inference(cnf_transformation,[],[f5]) ).

fof(f2747,plain,
    ~ spl42_409,
    inference(avatar_split_clause,[],[f494,f2744]) ).

fof(f2744,plain,
    ( spl42_409
  <=> n6 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_409])]) ).

fof(f494,plain,
    n6 != n14,
    inference(cnf_transformation,[],[f5]) ).

fof(f2742,plain,
    spl42_408,
    inference(avatar_split_clause,[],[f553,f2739]) ).

fof(f2739,plain,
    ( spl42_408
  <=> n8 = sum(n16,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_408])]) ).

fof(f553,plain,
    n8 = sum(n16,n13),
    inference(cnf_transformation,[],[f5]) ).

fof(f2737,plain,
    spl42_407,
    inference(avatar_split_clause,[],[f341,f2734]) ).

fof(f2734,plain,
    ( spl42_407
  <=> n10 = sum(n17,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_407])]) ).

fof(f341,plain,
    n10 = sum(n17,n14),
    inference(cnf_transformation,[],[f5]) ).

fof(f2732,plain,
    spl42_406,
    inference(avatar_split_clause,[],[f680,f2729]) ).

fof(f2729,plain,
    ( spl42_406
  <=> n12 = sum(n13,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_406])]) ).

fof(f680,plain,
    n12 = sum(n13,n20),
    inference(cnf_transformation,[],[f5]) ).

fof(f2727,plain,
    ~ spl42_405,
    inference(avatar_split_clause,[],[f353,f2724]) ).

fof(f2724,plain,
    ( spl42_405
  <=> n16 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_405])]) ).

fof(f353,plain,
    n16 != n18,
    inference(cnf_transformation,[],[f5]) ).

fof(f2722,plain,
    spl42_404,
    inference(avatar_split_clause,[],[f352,f2719]) ).

fof(f2719,plain,
    ( spl42_404
  <=> n0 = sum(n14,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_404])]) ).

fof(f352,plain,
    n0 = sum(n14,n7),
    inference(cnf_transformation,[],[f5]) ).

fof(f2717,plain,
    ~ spl42_403,
    inference(avatar_split_clause,[],[f575,f2714]) ).

fof(f2714,plain,
    ( spl42_403
  <=> n9 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_403])]) ).

fof(f575,plain,
    n9 != n12,
    inference(cnf_transformation,[],[f5]) ).

fof(f2712,plain,
    spl42_402,
    inference(avatar_split_clause,[],[f605,f2709]) ).

fof(f2709,plain,
    ( spl42_402
  <=> n2 = sum(n3,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_402])]) ).

fof(f605,plain,
    n2 = sum(n3,n20),
    inference(cnf_transformation,[],[f5]) ).

fof(f2707,plain,
    ~ spl42_401,
    inference(avatar_split_clause,[],[f202,f2704]) ).

fof(f2704,plain,
    ( spl42_401
  <=> n4 = n6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_401])]) ).

fof(f202,plain,
    n4 != n6,
    inference(cnf_transformation,[],[f5]) ).

fof(f2702,plain,
    spl42_400,
    inference(avatar_split_clause,[],[f697,f2699]) ).

fof(f2699,plain,
    ( spl42_400
  <=> n7 = sum(n18,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_400])]) ).

fof(f697,plain,
    n7 = sum(n18,n10),
    inference(cnf_transformation,[],[f5]) ).

fof(f2697,plain,
    spl42_399,
    inference(avatar_split_clause,[],[f614,f2694]) ).

fof(f2694,plain,
    ( spl42_399
  <=> n10 = sum(n13,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_399])]) ).

fof(f614,plain,
    n10 = sum(n13,n18),
    inference(cnf_transformation,[],[f5]) ).

fof(f2692,plain,
    spl42_398,
    inference(avatar_split_clause,[],[f386,f2689]) ).

fof(f2689,plain,
    ( spl42_398
  <=> n13 = sum(n12,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_398])]) ).

fof(f386,plain,
    n13 = sum(n12,n1),
    inference(cnf_transformation,[],[f5]) ).

fof(f2687,plain,
    spl42_397,
    inference(avatar_split_clause,[],[f474,f2684]) ).

fof(f2684,plain,
    ( spl42_397
  <=> n4 = sum(n13,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_397])]) ).

fof(f474,plain,
    n4 = sum(n13,n12),
    inference(cnf_transformation,[],[f5]) ).

fof(f2682,plain,
    spl42_396,
    inference(avatar_split_clause,[],[f551,f2679]) ).

fof(f2679,plain,
    ( spl42_396
  <=> sum(sum(pred(sK31),succ(sK26)),sum(pred(sK26),succ(sK31))) = sK13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_396])]) ).

fof(f551,plain,
    sum(sum(pred(sK31),succ(sK26)),sum(pred(sK26),succ(sK31))) = sK13,
    inference(cnf_transformation,[],[f5]) ).

fof(f2677,plain,
    spl42_395,
    inference(avatar_split_clause,[],[f296,f2674]) ).

fof(f2674,plain,
    ( spl42_395
  <=> n18 = sum(n14,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_395])]) ).

fof(f296,plain,
    n18 = sum(n14,n4),
    inference(cnf_transformation,[],[f5]) ).

fof(f2672,plain,
    ~ spl42_394,
    inference(avatar_split_clause,[],[f488,f2669]) ).

fof(f2669,plain,
    ( spl42_394
  <=> n1 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_394])]) ).

fof(f488,plain,
    n1 != n17,
    inference(cnf_transformation,[],[f5]) ).

fof(f2667,plain,
    spl42_393,
    inference(avatar_split_clause,[],[f566,f2664]) ).

fof(f2664,plain,
    ( spl42_393
  <=> n6 = sum(n9,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_393])]) ).

fof(f566,plain,
    n6 = sum(n9,n18),
    inference(cnf_transformation,[],[f5]) ).

fof(f2662,plain,
    spl42_392,
    inference(avatar_split_clause,[],[f518,f2659]) ).

fof(f2659,plain,
    ( spl42_392
  <=> n14 = sum(n5,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_392])]) ).

fof(f518,plain,
    n14 = sum(n5,n9),
    inference(cnf_transformation,[],[f5]) ).

fof(f2657,plain,
    spl42_391,
    inference(avatar_split_clause,[],[f91,f2654]) ).

fof(f2654,plain,
    ( spl42_391
  <=> n5 = sum(n13,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_391])]) ).

fof(f91,plain,
    n5 = sum(n13,n13),
    inference(cnf_transformation,[],[f5]) ).

fof(f2652,plain,
    spl42_390,
    inference(avatar_split_clause,[],[f627,f2649]) ).

fof(f2649,plain,
    ( spl42_390
  <=> n4 = sum(n3,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_390])]) ).

fof(f627,plain,
    n4 = sum(n3,n1),
    inference(cnf_transformation,[],[f5]) ).

fof(f2647,plain,
    ~ spl42_389,
    inference(avatar_split_clause,[],[f67,f2644]) ).

fof(f2644,plain,
    ( spl42_389
  <=> n3 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_389])]) ).

fof(f67,plain,
    n3 != n13,
    inference(cnf_transformation,[],[f5]) ).

fof(f2642,plain,
    spl42_388,
    inference(avatar_split_clause,[],[f378,f2639]) ).

fof(f2639,plain,
    ( spl42_388
  <=> n13 = sum(n3,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_388])]) ).

fof(f378,plain,
    n13 = sum(n3,n10),
    inference(cnf_transformation,[],[f5]) ).

fof(f2637,plain,
    spl42_387,
    inference(avatar_split_clause,[],[f65,f2634]) ).

fof(f2634,plain,
    ( spl42_387
  <=> n0 = sum(n2,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_387])]) ).

fof(f65,plain,
    n0 = sum(n2,n19),
    inference(cnf_transformation,[],[f5]) ).

fof(f2632,plain,
    spl42_386,
    inference(avatar_split_clause,[],[f713,f2629]) ).

fof(f2629,plain,
    ( spl42_386
  <=> n12 = sum(n1,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_386])]) ).

fof(f713,plain,
    n12 = sum(n1,n11),
    inference(cnf_transformation,[],[f5]) ).

fof(f2627,plain,
    spl42_385,
    inference(avatar_split_clause,[],[f317,f2624]) ).

fof(f2624,plain,
    ( spl42_385
  <=> n6 = sum(n11,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_385])]) ).

fof(f317,plain,
    n6 = sum(n11,n16),
    inference(cnf_transformation,[],[f5]) ).

fof(f2622,plain,
    spl42_384,
    inference(avatar_split_clause,[],[f667,f2619]) ).

fof(f2619,plain,
    ( spl42_384
  <=> n13 = sum(n15,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_384])]) ).

fof(f667,plain,
    n13 = sum(n15,n19),
    inference(cnf_transformation,[],[f5]) ).

fof(f2617,plain,
    ~ spl42_383,
    inference(avatar_split_clause,[],[f739,f2614]) ).

fof(f2614,plain,
    ( spl42_383
  <=> n8 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_383])]) ).

fof(f739,plain,
    n8 != n17,
    inference(cnf_transformation,[],[f5]) ).

fof(f2612,plain,
    spl42_382,
    inference(avatar_split_clause,[],[f402,f2609]) ).

fof(f2609,plain,
    ( spl42_382
  <=> n6 = sum(n6,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_382])]) ).

fof(f402,plain,
    n6 = sum(n6,n0),
    inference(cnf_transformation,[],[f5]) ).

fof(f2607,plain,
    ~ spl42_381,
    inference(avatar_split_clause,[],[f723,f2604]) ).

fof(f2604,plain,
    ( spl42_381
  <=> n17 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_381])]) ).

fof(f723,plain,
    n17 != n19,
    inference(cnf_transformation,[],[f5]) ).

fof(f2602,plain,
    ~ spl42_380,
    inference(avatar_split_clause,[],[f20,f2599]) ).

fof(f2599,plain,
    ( spl42_380
  <=> n6 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_380])]) ).

fof(f20,plain,
    n6 != n11,
    inference(cnf_transformation,[],[f5]) ).

fof(f2597,plain,
    ~ spl42_379,
    inference(avatar_split_clause,[],[f524,f2594]) ).

fof(f2594,plain,
    ( spl42_379
  <=> n6 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_379])]) ).

fof(f524,plain,
    n6 != n18,
    inference(cnf_transformation,[],[f5]) ).

fof(f2592,plain,
    ~ spl42_378,
    inference(avatar_split_clause,[],[f135,f2589]) ).

fof(f2589,plain,
    ( spl42_378
  <=> n14 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_378])]) ).

fof(f135,plain,
    n14 != n19,
    inference(cnf_transformation,[],[f5]) ).

fof(f2587,plain,
    spl42_377,
    inference(avatar_split_clause,[],[f42,f2584]) ).

fof(f2584,plain,
    ( spl42_377
  <=> n0 = sum(n3,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_377])]) ).

fof(f42,plain,
    n0 = sum(n3,n18),
    inference(cnf_transformation,[],[f5]) ).

fof(f2582,plain,
    spl42_376,
    inference(avatar_split_clause,[],[f648,f2579]) ).

fof(f2579,plain,
    ( spl42_376
  <=> n3 = sum(n0,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_376])]) ).

fof(f648,plain,
    n3 = sum(n0,n3),
    inference(cnf_transformation,[],[f5]) ).

fof(f2577,plain,
    ~ spl42_375,
    inference(avatar_split_clause,[],[f582,f2574]) ).

fof(f2574,plain,
    ( spl42_375
  <=> n4 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_375])]) ).

fof(f582,plain,
    n4 != n18,
    inference(cnf_transformation,[],[f5]) ).

fof(f2572,plain,
    spl42_374,
    inference(avatar_split_clause,[],[f208,f2569]) ).

fof(f2569,plain,
    ( spl42_374
  <=> n8 = sum(n17,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_374])]) ).

fof(f208,plain,
    n8 = sum(n17,n12),
    inference(cnf_transformation,[],[f5]) ).

fof(f2567,plain,
    ~ spl42_373,
    inference(avatar_split_clause,[],[f459,f2564]) ).

fof(f2564,plain,
    ( spl42_373
  <=> n5 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_373])]) ).

fof(f459,plain,
    n5 != n17,
    inference(cnf_transformation,[],[f5]) ).

fof(f2562,plain,
    ~ spl42_372,
    inference(avatar_split_clause,[],[f580,f2559]) ).

fof(f2559,plain,
    ( spl42_372
  <=> n8 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_372])]) ).

fof(f580,plain,
    n8 != n14,
    inference(cnf_transformation,[],[f5]) ).

fof(f2557,plain,
    spl42_371,
    inference(avatar_split_clause,[],[f34,f2554]) ).

fof(f2554,plain,
    ( spl42_371
  <=> succ(n17) = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_371])]) ).

fof(f34,plain,
    succ(n17) = n18,
    inference(cnf_transformation,[],[f5]) ).

fof(f2552,plain,
    ~ spl42_370,
    inference(avatar_split_clause,[],[f260,f2549]) ).

fof(f2549,plain,
    ( spl42_370
  <=> n4 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_370])]) ).

fof(f260,plain,
    n4 != n15,
    inference(cnf_transformation,[],[f5]) ).

fof(f2547,plain,
    spl42_369,
    inference(avatar_split_clause,[],[f376,f2544]) ).

fof(f2544,plain,
    ( spl42_369
  <=> n8 = sum(n7,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_369])]) ).

fof(f376,plain,
    n8 = sum(n7,n1),
    inference(cnf_transformation,[],[f5]) ).

fof(f2542,plain,
    spl42_368,
    inference(avatar_split_clause,[],[f62,f2539]) ).

fof(f2539,plain,
    ( spl42_368
  <=> n6 = sum(n14,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_368])]) ).

fof(f62,plain,
    n6 = sum(n14,n13),
    inference(cnf_transformation,[],[f5]) ).

fof(f2537,plain,
    spl42_367,
    inference(avatar_split_clause,[],[f188,f2534]) ).

fof(f2534,plain,
    ( spl42_367
  <=> n4 = sum(n16,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_367])]) ).

fof(f188,plain,
    n4 = sum(n16,n9),
    inference(cnf_transformation,[],[f5]) ).

fof(f2532,plain,
    spl42_366,
    inference(avatar_split_clause,[],[f158,f2529]) ).

fof(f2529,plain,
    ( spl42_366
  <=> n10 = sum(n9,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_366])]) ).

fof(f158,plain,
    n10 = sum(n9,n1),
    inference(cnf_transformation,[],[f5]) ).

fof(f2527,plain,
    ~ spl42_365,
    inference(avatar_split_clause,[],[f638,f2524]) ).

fof(f2524,plain,
    ( spl42_365
  <=> n3 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_365])]) ).

fof(f638,plain,
    n3 != n11,
    inference(cnf_transformation,[],[f5]) ).

fof(f2522,plain,
    spl42_364,
    inference(avatar_split_clause,[],[f665,f2519]) ).

fof(f2519,plain,
    ( spl42_364
  <=> n2 = sum(n1,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_364])]) ).

fof(f665,plain,
    n2 = sum(n1,n1),
    inference(cnf_transformation,[],[f5]) ).

fof(f2517,plain,
    spl42_363,
    inference(avatar_split_clause,[],[f679,f2514]) ).

fof(f2514,plain,
    ( spl42_363
  <=> succ(n18) = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_363])]) ).

fof(f679,plain,
    succ(n18) = n19,
    inference(cnf_transformation,[],[f5]) ).

fof(f2512,plain,
    spl42_362,
    inference(avatar_split_clause,[],[f516,f2509]) ).

fof(f2509,plain,
    ( spl42_362
  <=> n9 = sum(n15,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_362])]) ).

fof(f516,plain,
    n9 = sum(n15,n15),
    inference(cnf_transformation,[],[f5]) ).

fof(f2507,plain,
    ~ spl42_361,
    inference(avatar_split_clause,[],[f735,f2504]) ).

fof(f2504,plain,
    ( spl42_361
  <=> n11 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_361])]) ).

fof(f735,plain,
    n11 != n15,
    inference(cnf_transformation,[],[f5]) ).

fof(f2502,plain,
    ~ spl42_360,
    inference(avatar_split_clause,[],[f78,f2499]) ).

fof(f2499,plain,
    ( spl42_360
  <=> n7 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_360])]) ).

fof(f78,plain,
    n7 != n20,
    inference(cnf_transformation,[],[f5]) ).

fof(f2497,plain,
    spl42_359,
    inference(avatar_split_clause,[],[f219,f2494]) ).

fof(f2494,plain,
    ( spl42_359
  <=> n14 = sum(n19,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_359])]) ).

fof(f219,plain,
    n14 = sum(n19,n16),
    inference(cnf_transformation,[],[f5]) ).

fof(f2492,plain,
    spl42_358,
    inference(avatar_split_clause,[],[f701,f2489]) ).

fof(f2489,plain,
    ( spl42_358
  <=> n19 = sum(n2,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_358])]) ).

fof(f701,plain,
    n19 = sum(n2,n17),
    inference(cnf_transformation,[],[f5]) ).

fof(f2487,plain,
    spl42_357,
    inference(avatar_split_clause,[],[f120,f2484]) ).

fof(f2484,plain,
    ( spl42_357
  <=> sK37 = sum(sum(pred(sK3),succ(sK32)),sum(pred(sK32),succ(sK3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_357])]) ).

fof(f120,plain,
    sK37 = sum(sum(pred(sK3),succ(sK32)),sum(pred(sK32),succ(sK3))),
    inference(cnf_transformation,[],[f5]) ).

fof(f2482,plain,
    ~ spl42_356,
    inference(avatar_split_clause,[],[f676,f2479]) ).

fof(f2479,plain,
    ( spl42_356
  <=> n8 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_356])]) ).

fof(f676,plain,
    n8 != n16,
    inference(cnf_transformation,[],[f5]) ).

fof(f2477,plain,
    ~ spl42_355,
    inference(avatar_split_clause,[],[f536,f2474]) ).

fof(f2474,plain,
    ( spl42_355
  <=> n3 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_355])]) ).

fof(f536,plain,
    n3 != n10,
    inference(cnf_transformation,[],[f5]) ).

fof(f2472,plain,
    spl42_354,
    inference(avatar_split_clause,[],[f380,f2469]) ).

fof(f2469,plain,
    ( spl42_354
  <=> n7 = sum(n14,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_354])]) ).

fof(f380,plain,
    n7 = sum(n14,n14),
    inference(cnf_transformation,[],[f5]) ).

fof(f2467,plain,
    spl42_353,
    inference(avatar_split_clause,[],[f711,f2464]) ).

fof(f2464,plain,
    ( spl42_353
  <=> n12 = sum(n4,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_353])]) ).

fof(f711,plain,
    n12 = sum(n4,n8),
    inference(cnf_transformation,[],[f5]) ).

fof(f2462,plain,
    ~ spl42_352,
    inference(avatar_split_clause,[],[f235,f2459]) ).

fof(f2459,plain,
    ( spl42_352
  <=> n6 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_352])]) ).

fof(f235,plain,
    n6 != n12,
    inference(cnf_transformation,[],[f5]) ).

fof(f2457,plain,
    spl42_351,
    inference(avatar_split_clause,[],[f47,f2454]) ).

fof(f2454,plain,
    ( spl42_351
  <=> n10 = sum(n11,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_351])]) ).

fof(f47,plain,
    n10 = sum(n11,n20),
    inference(cnf_transformation,[],[f5]) ).

fof(f2452,plain,
    ~ spl42_350,
    inference(avatar_split_clause,[],[f125,f2449]) ).

fof(f2449,plain,
    ( spl42_350
  <=> n1 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_350])]) ).

fof(f125,plain,
    n1 != n20,
    inference(cnf_transformation,[],[f5]) ).

fof(f2447,plain,
    spl42_349,
    inference(avatar_split_clause,[],[f600,f2444]) ).

fof(f2444,plain,
    ( spl42_349
  <=> n2 = sum(n11,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_349])]) ).

fof(f600,plain,
    n2 = sum(n11,n12),
    inference(cnf_transformation,[],[f5]) ).

fof(f2442,plain,
    spl42_348,
    inference(avatar_split_clause,[],[f537,f2439]) ).

fof(f2439,plain,
    ( spl42_348
  <=> n0 = succ(n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_348])]) ).

fof(f537,plain,
    n0 = succ(n20),
    inference(cnf_transformation,[],[f5]) ).

fof(f2437,plain,
    spl42_347,
    inference(avatar_split_clause,[],[f419,f2434]) ).

fof(f2434,plain,
    ( spl42_347
  <=> n2 = sum(n8,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_347])]) ).

fof(f419,plain,
    n2 = sum(n8,n15),
    inference(cnf_transformation,[],[f5]) ).

fof(f2432,plain,
    spl42_346,
    inference(avatar_split_clause,[],[f203,f2429]) ).

fof(f2429,plain,
    ( spl42_346
  <=> n0 = sum(n16,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_346])]) ).

fof(f203,plain,
    n0 = sum(n16,n5),
    inference(cnf_transformation,[],[f5]) ).

fof(f2427,plain,
    spl42_345,
    inference(avatar_split_clause,[],[f564,f2424]) ).

fof(f2424,plain,
    ( spl42_345
  <=> n9 = sum(n9,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_345])]) ).

fof(f564,plain,
    n9 = sum(n9,n0),
    inference(cnf_transformation,[],[f5]) ).

fof(f2422,plain,
    ~ spl42_344,
    inference(avatar_split_clause,[],[f7,f2419]) ).

fof(f2419,plain,
    ( spl42_344
  <=> n2 = n3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_344])]) ).

fof(f7,plain,
    n2 != n3,
    inference(cnf_transformation,[],[f5]) ).

fof(f2417,plain,
    ~ spl42_343,
    inference(avatar_split_clause,[],[f631,f2414]) ).

fof(f2414,plain,
    ( spl42_343
  <=> n6 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_343])]) ).

fof(f631,plain,
    n6 != n15,
    inference(cnf_transformation,[],[f5]) ).

fof(f2412,plain,
    spl42_342,
    inference(avatar_split_clause,[],[f136,f2409]) ).

fof(f2409,plain,
    ( spl42_342
  <=> n10 = sum(n3,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_342])]) ).

fof(f136,plain,
    n10 = sum(n3,n7),
    inference(cnf_transformation,[],[f5]) ).

fof(f2407,plain,
    spl42_341,
    inference(avatar_split_clause,[],[f674,f2404]) ).

fof(f2404,plain,
    ( spl42_341
  <=> succ(n11) = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_341])]) ).

fof(f674,plain,
    succ(n11) = n12,
    inference(cnf_transformation,[],[f5]) ).

fof(f2402,plain,
    spl42_340,
    inference(avatar_split_clause,[],[f349,f2399]) ).

fof(f2399,plain,
    ( spl42_340
  <=> sum(sum(pred(sK11),succ(sK39)),sum(pred(sK39),succ(sK11))) = sK3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_340])]) ).

fof(f349,plain,
    sum(sum(pred(sK11),succ(sK39)),sum(pred(sK39),succ(sK11))) = sK3,
    inference(cnf_transformation,[],[f5]) ).

fof(f2397,plain,
    ~ spl42_339,
    inference(avatar_split_clause,[],[f63,f2394]) ).

fof(f2394,plain,
    ( spl42_339
  <=> n1 = n5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_339])]) ).

fof(f63,plain,
    n1 != n5,
    inference(cnf_transformation,[],[f5]) ).

fof(f2392,plain,
    spl42_338,
    inference(avatar_split_clause,[],[f452,f2389]) ).

fof(f2389,plain,
    ( spl42_338
  <=> n13 = sum(n2,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_338])]) ).

fof(f452,plain,
    n13 = sum(n2,n11),
    inference(cnf_transformation,[],[f5]) ).

fof(f2387,plain,
    spl42_337,
    inference(avatar_split_clause,[],[f387,f2384]) ).

fof(f2384,plain,
    ( spl42_337
  <=> n0 = sum(n7,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_337])]) ).

fof(f387,plain,
    n0 = sum(n7,n14),
    inference(cnf_transformation,[],[f5]) ).

fof(f2382,plain,
    ~ spl42_336,
    inference(avatar_split_clause,[],[f480,f2379]) ).

fof(f2379,plain,
    ( spl42_336
  <=> n5 = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_336])]) ).

fof(f480,plain,
    n5 != n7,
    inference(cnf_transformation,[],[f5]) ).

fof(f2377,plain,
    spl42_335,
    inference(avatar_split_clause,[],[f654,f2374]) ).

fof(f2374,plain,
    ( spl42_335
  <=> n16 = sum(n8,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_335])]) ).

fof(f654,plain,
    n16 = sum(n8,n8),
    inference(cnf_transformation,[],[f5]) ).

fof(f2372,plain,
    spl42_334,
    inference(avatar_split_clause,[],[f525,f2369]) ).

fof(f2369,plain,
    ( spl42_334
  <=> n10 = sum(n12,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_334])]) ).

fof(f525,plain,
    n10 = sum(n12,n19),
    inference(cnf_transformation,[],[f5]) ).

fof(f2367,plain,
    spl42_333,
    inference(avatar_split_clause,[],[f220,f2364]) ).

fof(f2364,plain,
    ( spl42_333
  <=> n3 = sum(n2,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_333])]) ).

fof(f220,plain,
    n3 = sum(n2,n1),
    inference(cnf_transformation,[],[f5]) ).

fof(f2362,plain,
    spl42_332,
    inference(avatar_split_clause,[],[f194,f2359]) ).

fof(f2359,plain,
    ( spl42_332
  <=> n13 = sum(n16,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_332])]) ).

fof(f194,plain,
    n13 = sum(n16,n18),
    inference(cnf_transformation,[],[f5]) ).

fof(f2357,plain,
    spl42_331,
    inference(avatar_split_clause,[],[f430,f2354]) ).

fof(f2354,plain,
    ( spl42_331
  <=> n18 = sum(n5,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_331])]) ).

fof(f430,plain,
    n18 = sum(n5,n13),
    inference(cnf_transformation,[],[f5]) ).

fof(f2352,plain,
    ~ spl42_330,
    inference(avatar_split_clause,[],[f506,f2349]) ).

fof(f2349,plain,
    ( spl42_330
  <=> n14 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_330])]) ).

fof(f506,plain,
    n14 != n16,
    inference(cnf_transformation,[],[f5]) ).

fof(f2347,plain,
    spl42_329,
    inference(avatar_split_clause,[],[f255,f2344]) ).

fof(f2344,plain,
    ( spl42_329
  <=> n17 = sum(n9,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_329])]) ).

fof(f255,plain,
    n17 = sum(n9,n8),
    inference(cnf_transformation,[],[f5]) ).

fof(f2342,plain,
    ~ spl42_328,
    inference(avatar_split_clause,[],[f130,f2339]) ).

fof(f2339,plain,
    ( spl42_328
  <=> n9 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_328])]) ).

fof(f130,plain,
    n9 != n14,
    inference(cnf_transformation,[],[f5]) ).

fof(f2337,plain,
    spl42_327,
    inference(avatar_split_clause,[],[f620,f2334]) ).

fof(f2334,plain,
    ( spl42_327
  <=> n12 = sum(n16,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_327])]) ).

fof(f620,plain,
    n12 = sum(n16,n17),
    inference(cnf_transformation,[],[f5]) ).

fof(f2332,plain,
    spl42_326,
    inference(avatar_split_clause,[],[f673,f2329]) ).

fof(f2329,plain,
    ( spl42_326
  <=> n12 = sum(n5,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_326])]) ).

fof(f673,plain,
    n12 = sum(n5,n7),
    inference(cnf_transformation,[],[f5]) ).

fof(f2327,plain,
    spl42_325,
    inference(avatar_split_clause,[],[f513,f2324]) ).

fof(f2324,plain,
    ( spl42_325
  <=> n3 = sum(n10,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_325])]) ).

fof(f513,plain,
    n3 = sum(n10,n14),
    inference(cnf_transformation,[],[f5]) ).

fof(f2322,plain,
    ~ spl42_324,
    inference(avatar_split_clause,[],[f473,f2319]) ).

fof(f2319,plain,
    ( spl42_324
  <=> n11 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_324])]) ).

fof(f473,plain,
    n11 != n19,
    inference(cnf_transformation,[],[f5]) ).

fof(f2317,plain,
    spl42_323,
    inference(avatar_split_clause,[],[f539,f2314]) ).

fof(f2314,plain,
    ( spl42_323
  <=> n2 = sum(n5,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_323])]) ).

fof(f539,plain,
    n2 = sum(n5,n18),
    inference(cnf_transformation,[],[f5]) ).

fof(f2312,plain,
    spl42_322,
    inference(avatar_split_clause,[],[f274,f2309]) ).

fof(f2309,plain,
    ( spl42_322
  <=> n19 = sum(n18,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_322])]) ).

fof(f274,plain,
    n19 = sum(n18,n1),
    inference(cnf_transformation,[],[f5]) ).

fof(f2307,plain,
    spl42_321,
    inference(avatar_split_clause,[],[f124,f2304]) ).

fof(f2304,plain,
    ( spl42_321
  <=> n13 = sum(n4,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_321])]) ).

fof(f124,plain,
    n13 = sum(n4,n9),
    inference(cnf_transformation,[],[f5]) ).

fof(f2302,plain,
    spl42_320,
    inference(avatar_split_clause,[],[f586,f2299]) ).

fof(f2299,plain,
    ( spl42_320
  <=> n11 = sum(n11,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_320])]) ).

fof(f586,plain,
    n11 = sum(n11,n0),
    inference(cnf_transformation,[],[f5]) ).

fof(f2297,plain,
    spl42_319,
    inference(avatar_split_clause,[],[f355,f2294]) ).

fof(f2294,plain,
    ( spl42_319
  <=> sum(sum(pred(sK7),succ(sK16)),sum(pred(sK16),succ(sK7))) = sK41 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_319])]) ).

fof(f355,plain,
    sum(sum(pred(sK7),succ(sK16)),sum(pred(sK16),succ(sK7))) = sK41,
    inference(cnf_transformation,[],[f5]) ).

fof(f2292,plain,
    ~ spl42_318,
    inference(avatar_split_clause,[],[f424,f2289]) ).

fof(f2289,plain,
    ( spl42_318
  <=> n8 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_318])]) ).

fof(f424,plain,
    n8 != n18,
    inference(cnf_transformation,[],[f5]) ).

fof(f2287,plain,
    spl42_317,
    inference(avatar_split_clause,[],[f533,f2284]) ).

fof(f2284,plain,
    ( spl42_317
  <=> n5 = sum(n11,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_317])]) ).

fof(f533,plain,
    n5 = sum(n11,n15),
    inference(cnf_transformation,[],[f5]) ).

fof(f2282,plain,
    spl42_316,
    inference(avatar_split_clause,[],[f412,f2279]) ).

fof(f2279,plain,
    ( spl42_316
  <=> n14 = sum(n17,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_316])]) ).

fof(f412,plain,
    n14 = sum(n17,n18),
    inference(cnf_transformation,[],[f5]) ).

fof(f2277,plain,
    spl42_315,
    inference(avatar_split_clause,[],[f515,f2274]) ).

fof(f2274,plain,
    ( spl42_315
  <=> n7 = sum(n16,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_315])]) ).

fof(f515,plain,
    n7 = sum(n16,n12),
    inference(cnf_transformation,[],[f5]) ).

fof(f2272,plain,
    spl42_314,
    inference(avatar_split_clause,[],[f170,f2269]) ).

fof(f2269,plain,
    ( spl42_314
  <=> n6 = sum(n13,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_314])]) ).

fof(f170,plain,
    n6 = sum(n13,n14),
    inference(cnf_transformation,[],[f5]) ).

fof(f2267,plain,
    ~ spl42_313,
    inference(avatar_split_clause,[],[f226,f2264]) ).

fof(f2264,plain,
    ( spl42_313
  <=> n0 = n6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_313])]) ).

fof(f226,plain,
    n0 != n6,
    inference(cnf_transformation,[],[f5]) ).

fof(f2262,plain,
    spl42_312,
    inference(avatar_split_clause,[],[f308,f2259]) ).

fof(f2259,plain,
    ( spl42_312
  <=> n7 = sum(n4,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_312])]) ).

fof(f308,plain,
    n7 = sum(n4,n3),
    inference(cnf_transformation,[],[f5]) ).

fof(f2257,plain,
    spl42_311,
    inference(avatar_split_clause,[],[f569,f2254]) ).

fof(f2254,plain,
    ( spl42_311
  <=> n14 = sum(n12,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_311])]) ).

fof(f569,plain,
    n14 = sum(n12,n2),
    inference(cnf_transformation,[],[f5]) ).

fof(f2252,plain,
    ~ spl42_310,
    inference(avatar_split_clause,[],[f689,f2249]) ).

fof(f2249,plain,
    ( spl42_310
  <=> n2 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_310])]) ).

fof(f689,plain,
    n2 != n10,
    inference(cnf_transformation,[],[f5]) ).

fof(f2247,plain,
    spl42_309,
    inference(avatar_split_clause,[],[f530,f2244]) ).

fof(f2244,plain,
    ( spl42_309
  <=> n20 = sum(n8,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_309])]) ).

fof(f530,plain,
    n20 = sum(n8,n12),
    inference(cnf_transformation,[],[f5]) ).

fof(f2242,plain,
    spl42_308,
    inference(avatar_split_clause,[],[f450,f2239]) ).

fof(f2239,plain,
    ( spl42_308
  <=> sK27 = sum(sum(pred(sK37),succ(sK37)),sum(pred(sK10),succ(sK10))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_308])]) ).

fof(f450,plain,
    sK27 = sum(sum(pred(sK37),succ(sK37)),sum(pred(sK10),succ(sK10))),
    inference(cnf_transformation,[],[f5]) ).

fof(f2237,plain,
    ~ spl42_307,
    inference(avatar_split_clause,[],[f437,f2234]) ).

fof(f2234,plain,
    ( spl42_307
  <=> n4 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_307])]) ).

fof(f437,plain,
    n4 != n19,
    inference(cnf_transformation,[],[f5]) ).

fof(f2232,plain,
    spl42_306,
    inference(avatar_split_clause,[],[f304,f2229]) ).

fof(f2229,plain,
    ( spl42_306
  <=> n0 = sum(n11,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_306])]) ).

fof(f304,plain,
    n0 = sum(n11,n10),
    inference(cnf_transformation,[],[f5]) ).

fof(f2227,plain,
    spl42_305,
    inference(avatar_split_clause,[],[f529,f2224]) ).

fof(f2224,plain,
    ( spl42_305
  <=> n4 = sum(n19,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_305])]) ).

fof(f529,plain,
    n4 = sum(n19,n6),
    inference(cnf_transformation,[],[f5]) ).

fof(f2222,plain,
    ~ spl42_304,
    inference(avatar_split_clause,[],[f350,f2219]) ).

fof(f2219,plain,
    ( spl42_304
  <=> n3 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_304])]) ).

fof(f350,plain,
    n3 != n9,
    inference(cnf_transformation,[],[f5]) ).

fof(f2217,plain,
    ~ spl42_303,
    inference(avatar_split_clause,[],[f493,f2214]) ).

fof(f2214,plain,
    ( spl42_303
  <=> n1 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_303])]) ).

fof(f493,plain,
    n1 != n10,
    inference(cnf_transformation,[],[f5]) ).

fof(f2212,plain,
    spl42_302,
    inference(avatar_split_clause,[],[f552,f2209]) ).

fof(f2209,plain,
    ( spl42_302
  <=> n5 = pred(n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_302])]) ).

fof(f552,plain,
    n5 = pred(n6),
    inference(cnf_transformation,[],[f5]) ).

fof(f2207,plain,
    spl42_301,
    inference(avatar_split_clause,[],[f114,f2204]) ).

fof(f2204,plain,
    ( spl42_301
  <=> n20 = sum(n13,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_301])]) ).

fof(f114,plain,
    n20 = sum(n13,n7),
    inference(cnf_transformation,[],[f5]) ).

fof(f2202,plain,
    spl42_300,
    inference(avatar_split_clause,[],[f329,f2199]) ).

fof(f2199,plain,
    ( spl42_300
  <=> sK1 = sum(sum(pred(sK41),succ(sK41)),sum(pred(sK34),succ(sK34))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_300])]) ).

fof(f329,plain,
    sK1 = sum(sum(pred(sK41),succ(sK41)),sum(pred(sK34),succ(sK34))),
    inference(cnf_transformation,[],[f5]) ).

fof(f2197,plain,
    spl42_299,
    inference(avatar_split_clause,[],[f741,f2194]) ).

fof(f2194,plain,
    ( spl42_299
  <=> n9 = sum(n6,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_299])]) ).

fof(f741,plain,
    n9 = sum(n6,n3),
    inference(cnf_transformation,[],[f5]) ).

fof(f2192,plain,
    spl42_298,
    inference(avatar_split_clause,[],[f512,f2189]) ).

fof(f2189,plain,
    ( spl42_298
  <=> n1 = sum(n17,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_298])]) ).

fof(f512,plain,
    n1 = sum(n17,n5),
    inference(cnf_transformation,[],[f5]) ).

fof(f2187,plain,
    spl42_297,
    inference(avatar_split_clause,[],[f642,f2184]) ).

fof(f2184,plain,
    ( spl42_297
  <=> n2 = sum(n19,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_297])]) ).

fof(f642,plain,
    n2 = sum(n19,n4),
    inference(cnf_transformation,[],[f5]) ).

fof(f2182,plain,
    spl42_296,
    inference(avatar_split_clause,[],[f418,f2179]) ).

fof(f2179,plain,
    ( spl42_296
  <=> n17 = sum(n16,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_296])]) ).

fof(f418,plain,
    n17 = sum(n16,n1),
    inference(cnf_transformation,[],[f5]) ).

fof(f2177,plain,
    spl42_295,
    inference(avatar_split_clause,[],[f652,f2174]) ).

fof(f2174,plain,
    ( spl42_295
  <=> sK8 = sum(sum(pred(sK37),succ(sK10)),sum(pred(sK10),succ(sK37))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_295])]) ).

fof(f652,plain,
    sK8 = sum(sum(pred(sK37),succ(sK10)),sum(pred(sK10),succ(sK37))),
    inference(cnf_transformation,[],[f5]) ).

fof(f2172,plain,
    spl42_294,
    inference(avatar_split_clause,[],[f74,f2169]) ).

fof(f2169,plain,
    ( spl42_294
  <=> n20 = sum(n16,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_294])]) ).

fof(f74,plain,
    n20 = sum(n16,n4),
    inference(cnf_transformation,[],[f5]) ).

fof(f2167,plain,
    spl42_293,
    inference(avatar_split_clause,[],[f481,f2164]) ).

fof(f2164,plain,
    ( spl42_293
  <=> n13 = sum(n11,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_293])]) ).

fof(f481,plain,
    n13 = sum(n11,n2),
    inference(cnf_transformation,[],[f5]) ).

fof(f2162,plain,
    ~ spl42_292,
    inference(avatar_split_clause,[],[f707,f2159]) ).

fof(f2159,plain,
    ( spl42_292
  <=> n11 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_292])]) ).

fof(f707,plain,
    n11 != n14,
    inference(cnf_transformation,[],[f5]) ).

fof(f2157,plain,
    spl42_291,
    inference(avatar_split_clause,[],[f192,f2154]) ).

fof(f2154,plain,
    ( spl42_291
  <=> n12 = pred(n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_291])]) ).

fof(f192,plain,
    n12 = pred(n13),
    inference(cnf_transformation,[],[f5]) ).

fof(f2152,plain,
    spl42_290,
    inference(avatar_split_clause,[],[f485,f2149]) ).

fof(f2149,plain,
    ( spl42_290
  <=> n15 = sum(n14,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_290])]) ).

fof(f485,plain,
    n15 = sum(n14,n1),
    inference(cnf_transformation,[],[f5]) ).

fof(f2147,plain,
    ~ spl42_289,
    inference(avatar_split_clause,[],[f417,f2144]) ).

fof(f2144,plain,
    ( spl42_289
  <=> n2 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_289])]) ).

fof(f417,plain,
    n2 != n19,
    inference(cnf_transformation,[],[f5]) ).

fof(f2142,plain,
    spl42_288,
    inference(avatar_split_clause,[],[f164,f2139]) ).

fof(f2139,plain,
    ( spl42_288
  <=> n5 = sum(n14,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_288])]) ).

fof(f164,plain,
    n5 = sum(n14,n12),
    inference(cnf_transformation,[],[f5]) ).

fof(f2137,plain,
    spl42_287,
    inference(avatar_split_clause,[],[f375,f2134]) ).

fof(f2134,plain,
    ( spl42_287
  <=> succ(n8) = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_287])]) ).

fof(f375,plain,
    succ(n8) = n9,
    inference(cnf_transformation,[],[f5]) ).

fof(f2132,plain,
    ~ spl42_286,
    inference(avatar_split_clause,[],[f736,f2129]) ).

fof(f2129,plain,
    ( spl42_286
  <=> n13 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_286])]) ).

fof(f736,plain,
    n13 != n14,
    inference(cnf_transformation,[],[f5]) ).

fof(f2127,plain,
    spl42_285,
    inference(avatar_split_clause,[],[f602,f2124]) ).

fof(f2124,plain,
    ( spl42_285
  <=> n5 = sum(n4,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_285])]) ).

fof(f602,plain,
    n5 = sum(n4,n1),
    inference(cnf_transformation,[],[f5]) ).

fof(f2122,plain,
    spl42_284,
    inference(avatar_split_clause,[],[f259,f2119]) ).

fof(f2119,plain,
    ( spl42_284
  <=> n12 = sum(n8,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_284])]) ).

fof(f259,plain,
    n12 = sum(n8,n4),
    inference(cnf_transformation,[],[f5]) ).

fof(f2117,plain,
    ~ spl42_283,
    inference(avatar_split_clause,[],[f209,f2114]) ).

fof(f2114,plain,
    ( spl42_283
  <=> n15 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_283])]) ).

fof(f209,plain,
    n15 != n17,
    inference(cnf_transformation,[],[f5]) ).

fof(f2112,plain,
    ~ spl42_282,
    inference(avatar_split_clause,[],[f509,f2109]) ).

fof(f2109,plain,
    ( spl42_282
  <=> n4 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_282])]) ).

fof(f509,plain,
    n4 != n13,
    inference(cnf_transformation,[],[f5]) ).

fof(f2107,plain,
    spl42_281,
    inference(avatar_split_clause,[],[f169,f2104]) ).

fof(f2104,plain,
    ( spl42_281
  <=> n9 = sum(n11,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_281])]) ).

fof(f169,plain,
    n9 = sum(n11,n19),
    inference(cnf_transformation,[],[f5]) ).

fof(f2102,plain,
    spl42_280,
    inference(avatar_split_clause,[],[f579,f2099]) ).

fof(f2099,plain,
    ( spl42_280
  <=> n3 = sum(n20,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_280])]) ).

fof(f579,plain,
    n3 = sum(n20,n4),
    inference(cnf_transformation,[],[f5]) ).

fof(f2097,plain,
    spl42_279,
    inference(avatar_split_clause,[],[f531,f2094]) ).

fof(f2094,plain,
    ( spl42_279
  <=> n17 = sum(n20,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_279])]) ).

fof(f531,plain,
    n17 = sum(n20,n18),
    inference(cnf_transformation,[],[f5]) ).

fof(f2092,plain,
    ~ spl42_278,
    inference(avatar_split_clause,[],[f217,f2089]) ).

fof(f2089,plain,
    ( spl42_278
  <=> n14 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_278])]) ).

fof(f217,plain,
    n14 != n15,
    inference(cnf_transformation,[],[f5]) ).

fof(f2087,plain,
    spl42_277,
    inference(avatar_split_clause,[],[f111,f2084]) ).

fof(f2084,plain,
    ( spl42_277
  <=> n9 = sum(n20,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_277])]) ).

fof(f111,plain,
    n9 = sum(n20,n10),
    inference(cnf_transformation,[],[f5]) ).

fof(f2082,plain,
    spl42_276,
    inference(avatar_split_clause,[],[f691,f2079]) ).

fof(f2079,plain,
    ( spl42_276
  <=> sum(sum(pred(sK31),succ(sK31)),sum(pred(sK26),succ(sK26))) = sK35 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_276])]) ).

fof(f691,plain,
    sum(sum(pred(sK31),succ(sK31)),sum(pred(sK26),succ(sK26))) = sK35,
    inference(cnf_transformation,[],[f5]) ).

fof(f2077,plain,
    ~ spl42_275,
    inference(avatar_split_clause,[],[f338,f2074]) ).

fof(f2074,plain,
    ( spl42_275
  <=> n2 = n6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_275])]) ).

fof(f338,plain,
    n2 != n6,
    inference(cnf_transformation,[],[f5]) ).

fof(f2072,plain,
    spl42_274,
    inference(avatar_split_clause,[],[f201,f2069]) ).

fof(f2069,plain,
    ( spl42_274
  <=> n5 = sum(n18,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_274])]) ).

fof(f201,plain,
    n5 = sum(n18,n8),
    inference(cnf_transformation,[],[f5]) ).

fof(f2067,plain,
    ~ spl42_273,
    inference(avatar_split_clause,[],[f92,f2064]) ).

fof(f2064,plain,
    ( spl42_273
  <=> n5 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_273])]) ).

fof(f92,plain,
    n5 != n19,
    inference(cnf_transformation,[],[f5]) ).

fof(f2062,plain,
    ~ spl42_272,
    inference(avatar_split_clause,[],[f223,f2059]) ).

fof(f2059,plain,
    ( spl42_272
  <=> n7 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_272])]) ).

fof(f223,plain,
    n7 != n17,
    inference(cnf_transformation,[],[f5]) ).

fof(f2057,plain,
    spl42_271,
    inference(avatar_split_clause,[],[f577,f2054]) ).

fof(f2054,plain,
    ( spl42_271
  <=> n19 = sum(n4,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_271])]) ).

fof(f577,plain,
    n19 = sum(n4,n15),
    inference(cnf_transformation,[],[f5]) ).

fof(f2052,plain,
    spl42_270,
    inference(avatar_split_clause,[],[f639,f2049]) ).

fof(f2049,plain,
    ( spl42_270
  <=> n2 = pred(n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_270])]) ).

fof(f639,plain,
    n2 = pred(n3),
    inference(cnf_transformation,[],[f5]) ).

fof(f2047,plain,
    spl42_269,
    inference(avatar_split_clause,[],[f291,f2044]) ).

fof(f2044,plain,
    ( spl42_269
  <=> n15 = sum(n20,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_269])]) ).

fof(f291,plain,
    n15 = sum(n20,n16),
    inference(cnf_transformation,[],[f5]) ).

fof(f2042,plain,
    spl42_268,
    inference(avatar_split_clause,[],[f89,f2039]) ).

fof(f2039,plain,
    ( spl42_268
  <=> n0 = sum(n17,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_268])]) ).

fof(f89,plain,
    n0 = sum(n17,n4),
    inference(cnf_transformation,[],[f5]) ).

fof(f2037,plain,
    spl42_267,
    inference(avatar_split_clause,[],[f179,f2034]) ).

fof(f2034,plain,
    ( spl42_267
  <=> n17 = sum(n19,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_267])]) ).

fof(f179,plain,
    n17 = sum(n19,n19),
    inference(cnf_transformation,[],[f5]) ).

fof(f2032,plain,
    ~ spl42_266,
    inference(avatar_split_clause,[],[f299,f2029]) ).

fof(f2029,plain,
    ( spl42_266
  <=> n0 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_266])]) ).

fof(f299,plain,
    n0 != n8,
    inference(cnf_transformation,[],[f5]) ).

fof(f2027,plain,
    ~ spl42_265,
    inference(avatar_split_clause,[],[f93,f2024]) ).

fof(f2024,plain,
    ( spl42_265
  <=> n0 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_265])]) ).

fof(f93,plain,
    n0 != n19,
    inference(cnf_transformation,[],[f5]) ).

fof(f2022,plain,
    spl42_264,
    inference(avatar_split_clause,[],[f31,f2019]) ).

fof(f2019,plain,
    ( spl42_264
  <=> n9 = sum(n13,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_264])]) ).

fof(f31,plain,
    n9 = sum(n13,n17),
    inference(cnf_transformation,[],[f5]) ).

fof(f2017,plain,
    ~ spl42_263,
    inference(avatar_split_clause,[],[f252,f2014]) ).

fof(f2014,plain,
    ( spl42_263
  <=> n3 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_263])]) ).

fof(f252,plain,
    n3 != n19,
    inference(cnf_transformation,[],[f5]) ).

fof(f2012,plain,
    spl42_262,
    inference(avatar_split_clause,[],[f161,f2009]) ).

fof(f2009,plain,
    ( spl42_262
  <=> succ(n15) = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_262])]) ).

fof(f161,plain,
    succ(n15) = n16,
    inference(cnf_transformation,[],[f5]) ).

fof(f2007,plain,
    spl42_261,
    inference(avatar_split_clause,[],[f342,f2004]) ).

fof(f2004,plain,
    ( spl42_261
  <=> n2 = sum(n7,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_261])]) ).

fof(f342,plain,
    n2 = sum(n7,n16),
    inference(cnf_transformation,[],[f5]) ).

fof(f2002,plain,
    ~ spl42_260,
    inference(avatar_split_clause,[],[f740,f1999]) ).

fof(f1999,plain,
    ( spl42_260
  <=> n16 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_260])]) ).

fof(f740,plain,
    n16 != n17,
    inference(cnf_transformation,[],[f5]) ).

fof(f1997,plain,
    ~ spl42_259,
    inference(avatar_split_clause,[],[f444,f1994]) ).

fof(f1994,plain,
    ( spl42_259
  <=> n3 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_259])]) ).

fof(f444,plain,
    n3 != n16,
    inference(cnf_transformation,[],[f5]) ).

fof(f1992,plain,
    spl42_258,
    inference(avatar_split_clause,[],[f273,f1989]) ).

fof(f1989,plain,
    ( spl42_258
  <=> n9 = sum(n18,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_258])]) ).

fof(f273,plain,
    n9 = sum(n18,n12),
    inference(cnf_transformation,[],[f5]) ).

fof(f1987,plain,
    spl42_257,
    inference(avatar_split_clause,[],[f462,f1984]) ).

fof(f1984,plain,
    ( spl42_257
  <=> n5 = sum(n15,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_257])]) ).

fof(f462,plain,
    n5 = sum(n15,n11),
    inference(cnf_transformation,[],[f5]) ).

fof(f1982,plain,
    spl42_256,
    inference(avatar_split_clause,[],[f477,f1979]) ).

fof(f1979,plain,
    ( spl42_256
  <=> n15 = sum(n19,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_256])]) ).

fof(f477,plain,
    n15 = sum(n19,n17),
    inference(cnf_transformation,[],[f5]) ).

fof(f1977,plain,
    spl42_255,
    inference(avatar_split_clause,[],[f264,f1974]) ).

fof(f1974,plain,
    ( spl42_255
  <=> n12 = sum(n9,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_255])]) ).

fof(f264,plain,
    n12 = sum(n9,n3),
    inference(cnf_transformation,[],[f5]) ).

fof(f1972,plain,
    spl42_254,
    inference(avatar_split_clause,[],[f10,f1969]) ).

fof(f1969,plain,
    ( spl42_254
  <=> n15 = sum(n2,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_254])]) ).

fof(f10,plain,
    n15 = sum(n2,n13),
    inference(cnf_transformation,[],[f5]) ).

fof(f1967,plain,
    spl42_253,
    inference(avatar_split_clause,[],[f238,f1964]) ).

fof(f1964,plain,
    ( spl42_253
  <=> n12 = sum(n3,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_253])]) ).

fof(f238,plain,
    n12 = sum(n3,n9),
    inference(cnf_transformation,[],[f5]) ).

fof(f1962,plain,
    spl42_252,
    inference(avatar_split_clause,[],[f408,f1959]) ).

fof(f1959,plain,
    ( spl42_252
  <=> n18 = sum(n2,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_252])]) ).

fof(f408,plain,
    n18 = sum(n2,n16),
    inference(cnf_transformation,[],[f5]) ).

fof(f1957,plain,
    spl42_251,
    inference(avatar_split_clause,[],[f484,f1954]) ).

fof(f1954,plain,
    ( spl42_251
  <=> sum(sum(pred(sK29),succ(sK1)),sum(pred(sK1),succ(sK29))) = sK6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_251])]) ).

fof(f484,plain,
    sum(sum(pred(sK29),succ(sK1)),sum(pred(sK1),succ(sK29))) = sK6,
    inference(cnf_transformation,[],[f5]) ).

fof(f1952,plain,
    spl42_250,
    inference(avatar_split_clause,[],[f400,f1949]) ).

fof(f1949,plain,
    ( spl42_250
  <=> n7 = sum(n10,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_250])]) ).

fof(f400,plain,
    n7 = sum(n10,n18),
    inference(cnf_transformation,[],[f5]) ).

fof(f1947,plain,
    spl42_249,
    inference(avatar_split_clause,[],[f370,f1944]) ).

fof(f1944,plain,
    ( spl42_249
  <=> n6 = sum(n12,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_249])]) ).

fof(f370,plain,
    n6 = sum(n12,n15),
    inference(cnf_transformation,[],[f5]) ).

fof(f1942,plain,
    spl42_248,
    inference(avatar_split_clause,[],[f675,f1939]) ).

fof(f1939,plain,
    ( spl42_248
  <=> n0 = sum(n18,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_248])]) ).

fof(f675,plain,
    n0 = sum(n18,n3),
    inference(cnf_transformation,[],[f5]) ).

fof(f1937,plain,
    spl42_247,
    inference(avatar_split_clause,[],[f160,f1934]) ).

fof(f1934,plain,
    ( spl42_247
  <=> n4 = sum(n17,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_247])]) ).

fof(f160,plain,
    n4 = sum(n17,n8),
    inference(cnf_transformation,[],[f5]) ).

fof(f1932,plain,
    spl42_246,
    inference(avatar_split_clause,[],[f165,f1929]) ).

fof(f1929,plain,
    ( spl42_246
  <=> n16 = sum(n20,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_246])]) ).

fof(f165,plain,
    n16 = sum(n20,n17),
    inference(cnf_transformation,[],[f5]) ).

fof(f1927,plain,
    spl42_245,
    inference(avatar_split_clause,[],[f540,f1924]) ).

fof(f1924,plain,
    ( spl42_245
  <=> sK21 = sum(sum(pred(sK18),succ(sK18)),sum(pred(sK14),succ(sK14))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_245])]) ).

fof(f540,plain,
    sK21 = sum(sum(pred(sK18),succ(sK18)),sum(pred(sK14),succ(sK14))),
    inference(cnf_transformation,[],[f5]) ).

fof(f1922,plain,
    spl42_244,
    inference(avatar_split_clause,[],[f547,f1919]) ).

fof(f1919,plain,
    ( spl42_244
  <=> n12 = sum(n7,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_244])]) ).

fof(f547,plain,
    n12 = sum(n7,n5),
    inference(cnf_transformation,[],[f5]) ).

fof(f1917,plain,
    spl42_243,
    inference(avatar_split_clause,[],[f476,f1914]) ).

fof(f1914,plain,
    ( spl42_243
  <=> n14 = sum(n14,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_243])]) ).

fof(f476,plain,
    n14 = sum(n14,n0),
    inference(cnf_transformation,[],[f5]) ).

fof(f1912,plain,
    spl42_242,
    inference(avatar_split_clause,[],[f45,f1909]) ).

fof(f1909,plain,
    ( spl42_242
  <=> n4 = sum(n15,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_242])]) ).

fof(f45,plain,
    n4 = sum(n15,n10),
    inference(cnf_transformation,[],[f5]) ).

fof(f1907,plain,
    spl42_241,
    inference(avatar_split_clause,[],[f79,f1904]) ).

fof(f1904,plain,
    ( spl42_241
  <=> n4 = pred(n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_241])]) ).

fof(f79,plain,
    n4 = pred(n5),
    inference(cnf_transformation,[],[f5]) ).

fof(f1902,plain,
    spl42_240,
    inference(avatar_split_clause,[],[f683,f1899]) ).

fof(f1899,plain,
    ( spl42_240
  <=> n2 = sum(n16,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_240])]) ).

fof(f683,plain,
    n2 = sum(n16,n7),
    inference(cnf_transformation,[],[f5]) ).

fof(f1897,plain,
    ( spl42_219
    | spl42_220
    | spl42_221
    | spl42_222
    | spl42_223
    | spl42_224
    | spl42_225
    | spl42_226
    | spl42_227
    | spl42_228
    | spl42_229
    | spl42_230
    | spl42_231
    | spl42_232
    | spl42_233
    | spl42_234
    | spl42_235
    | spl42_236
    | spl42_237
    | spl42_238
    | spl42_239 ),
    inference(avatar_split_clause,[],[f157,f1894,f1890,f1886,f1882,f1878,f1874,f1870,f1866,f1862,f1858,f1854,f1850,f1846,f1842,f1838,f1834,f1830,f1826,f1822,f1818,f1814]) ).

fof(f1814,plain,
    ( spl42_219
  <=> n13 = sK23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_219])]) ).

fof(f1818,plain,
    ( spl42_220
  <=> n10 = sK23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_220])]) ).

fof(f1822,plain,
    ( spl42_221
  <=> n4 = sK23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_221])]) ).

fof(f1826,plain,
    ( spl42_222
  <=> n3 = sK23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_222])]) ).

fof(f1830,plain,
    ( spl42_223
  <=> n12 = sK23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_223])]) ).

fof(f1834,plain,
    ( spl42_224
  <=> n8 = sK23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_224])]) ).

fof(f1838,plain,
    ( spl42_225
  <=> n20 = sK23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_225])]) ).

fof(f1842,plain,
    ( spl42_226
  <=> n7 = sK23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_226])]) ).

fof(f1846,plain,
    ( spl42_227
  <=> n1 = sK23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_227])]) ).

fof(f1850,plain,
    ( spl42_228
  <=> n5 = sK23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_228])]) ).

fof(f1854,plain,
    ( spl42_229
  <=> n9 = sK23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_229])]) ).

fof(f1858,plain,
    ( spl42_230
  <=> n15 = sK23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_230])]) ).

fof(f1862,plain,
    ( spl42_231
  <=> n0 = sK23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_231])]) ).

fof(f1866,plain,
    ( spl42_232
  <=> n11 = sK23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_232])]) ).

fof(f1870,plain,
    ( spl42_233
  <=> n16 = sK23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_233])]) ).

fof(f1874,plain,
    ( spl42_234
  <=> n18 = sK23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_234])]) ).

fof(f1878,plain,
    ( spl42_235
  <=> n14 = sK23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_235])]) ).

fof(f1882,plain,
    ( spl42_236
  <=> n17 = sK23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_236])]) ).

fof(f1886,plain,
    ( spl42_237
  <=> n6 = sK23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_237])]) ).

fof(f1890,plain,
    ( spl42_238
  <=> n19 = sK23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_238])]) ).

fof(f1894,plain,
    ( spl42_239
  <=> n2 = sK23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_239])]) ).

fof(f157,plain,
    ( n2 = sK23
    | n19 = sK23
    | n6 = sK23
    | n17 = sK23
    | n14 = sK23
    | n18 = sK23
    | n16 = sK23
    | n11 = sK23
    | n0 = sK23
    | n15 = sK23
    | n9 = sK23
    | n5 = sK23
    | n1 = sK23
    | n7 = sK23
    | n20 = sK23
    | n8 = sK23
    | n12 = sK23
    | n3 = sK23
    | n4 = sK23
    | n10 = sK23
    | n13 = sK23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f1812,plain,
    spl42_218,
    inference(avatar_split_clause,[],[f332,f1809]) ).

fof(f1809,plain,
    ( spl42_218
  <=> n20 = sum(n11,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_218])]) ).

fof(f332,plain,
    n20 = sum(n11,n9),
    inference(cnf_transformation,[],[f5]) ).

fof(f1807,plain,
    ~ spl42_217,
    inference(avatar_split_clause,[],[f128,f1804]) ).

fof(f1804,plain,
    ( spl42_217
  <=> n14 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_217])]) ).

fof(f128,plain,
    n14 != n18,
    inference(cnf_transformation,[],[f5]) ).

fof(f1802,plain,
    ~ spl42_216,
    inference(avatar_split_clause,[],[f86,f1799]) ).

fof(f1799,plain,
    ( spl42_216
  <=> n6 = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_216])]) ).

fof(f86,plain,
    n6 != n7,
    inference(cnf_transformation,[],[f5]) ).

fof(f1797,plain,
    spl42_215,
    inference(avatar_split_clause,[],[f356,f1794]) ).

fof(f1794,plain,
    ( spl42_215
  <=> n1 = sum(n5,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_215])]) ).

fof(f356,plain,
    n1 = sum(n5,n17),
    inference(cnf_transformation,[],[f5]) ).

fof(f1792,plain,
    spl42_214,
    inference(avatar_split_clause,[],[f77,f1789]) ).

fof(f1789,plain,
    ( spl42_214
  <=> n16 = sum(n13,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_214])]) ).

fof(f77,plain,
    n16 = sum(n13,n3),
    inference(cnf_transformation,[],[f5]) ).

fof(f1787,plain,
    spl42_213,
    inference(avatar_split_clause,[],[f144,f1784]) ).

fof(f1784,plain,
    ( spl42_213
  <=> n5 = sum(n6,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_213])]) ).

fof(f144,plain,
    n5 = sum(n6,n20),
    inference(cnf_transformation,[],[f5]) ).

fof(f1782,plain,
    spl42_212,
    inference(avatar_split_clause,[],[f143,f1779]) ).

fof(f1779,plain,
    ( spl42_212
  <=> n3 = sum(n17,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_212])]) ).

fof(f143,plain,
    n3 = sum(n17,n7),
    inference(cnf_transformation,[],[f5]) ).

fof(f1777,plain,
    spl42_211,
    inference(avatar_split_clause,[],[f403,f1774]) ).

fof(f1774,plain,
    ( spl42_211
  <=> n20 = sum(n19,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_211])]) ).

fof(f403,plain,
    n20 = sum(n19,n1),
    inference(cnf_transformation,[],[f5]) ).

fof(f1772,plain,
    spl42_210,
    inference(avatar_split_clause,[],[f122,f1769]) ).

fof(f1769,plain,
    ( spl42_210
  <=> n12 = sum(n10,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_210])]) ).

fof(f122,plain,
    n12 = sum(n10,n2),
    inference(cnf_transformation,[],[f5]) ).

fof(f1767,plain,
    spl42_209,
    inference(avatar_split_clause,[],[f72,f1764]) ).

fof(f1764,plain,
    ( spl42_209
  <=> n5 = sum(n7,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_209])]) ).

fof(f72,plain,
    n5 = sum(n7,n19),
    inference(cnf_transformation,[],[f5]) ).

fof(f1762,plain,
    spl42_208,
    inference(avatar_split_clause,[],[f706,f1759]) ).

fof(f1759,plain,
    ( spl42_208
  <=> n18 = sum(n1,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_208])]) ).

fof(f706,plain,
    n18 = sum(n1,n17),
    inference(cnf_transformation,[],[f5]) ).

fof(f1757,plain,
    ~ spl42_207,
    inference(avatar_split_clause,[],[f647,f1754]) ).

fof(f1754,plain,
    ( spl42_207
  <=> n7 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_207])]) ).

fof(f647,plain,
    n7 != n8,
    inference(cnf_transformation,[],[f5]) ).

fof(f1752,plain,
    spl42_206,
    inference(avatar_split_clause,[],[f361,f1749]) ).

fof(f1749,plain,
    ( spl42_206
  <=> n14 = sum(n3,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_206])]) ).

fof(f361,plain,
    n14 = sum(n3,n11),
    inference(cnf_transformation,[],[f5]) ).

fof(f1747,plain,
    spl42_205,
    inference(avatar_split_clause,[],[f502,f1744]) ).

fof(f1744,plain,
    ( spl42_205
  <=> n7 = sum(n9,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_205])]) ).

fof(f502,plain,
    n7 = sum(n9,n19),
    inference(cnf_transformation,[],[f5]) ).

fof(f1742,plain,
    ~ spl42_204,
    inference(avatar_split_clause,[],[f699,f1739]) ).

fof(f1739,plain,
    ( spl42_204
  <=> n11 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_204])]) ).

fof(f699,plain,
    n11 != n13,
    inference(cnf_transformation,[],[f5]) ).

fof(f1737,plain,
    spl42_203,
    inference(avatar_split_clause,[],[f215,f1734]) ).

fof(f1734,plain,
    ( spl42_203
  <=> n2 = sum(n0,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_203])]) ).

fof(f215,plain,
    n2 = sum(n0,n2),
    inference(cnf_transformation,[],[f5]) ).

fof(f1732,plain,
    spl42_202,
    inference(avatar_split_clause,[],[f526,f1729]) ).

fof(f1729,plain,
    ( spl42_202
  <=> n5 = sum(n2,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_202])]) ).

fof(f526,plain,
    n5 = sum(n2,n3),
    inference(cnf_transformation,[],[f5]) ).

fof(f1727,plain,
    spl42_201,
    inference(avatar_split_clause,[],[f99,f1724]) ).

fof(f1724,plain,
    ( spl42_201
  <=> n13 = sum(n0,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_201])]) ).

fof(f99,plain,
    n13 = sum(n0,n13),
    inference(cnf_transformation,[],[f5]) ).

fof(f1722,plain,
    spl42_200,
    inference(avatar_split_clause,[],[f50,f1719]) ).

fof(f1719,plain,
    ( spl42_200
  <=> n13 = sum(n19,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_200])]) ).

fof(f50,plain,
    n13 = sum(n19,n15),
    inference(cnf_transformation,[],[f5]) ).

fof(f1717,plain,
    spl42_199,
    inference(avatar_split_clause,[],[f426,f1714]) ).

fof(f1714,plain,
    ( spl42_199
  <=> n6 = sum(n1,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_199])]) ).

fof(f426,plain,
    n6 = sum(n1,n5),
    inference(cnf_transformation,[],[f5]) ).

fof(f1712,plain,
    spl42_198,
    inference(avatar_split_clause,[],[f535,f1709]) ).

fof(f1709,plain,
    ( spl42_198
  <=> succ(n5) = n6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_198])]) ).

fof(f535,plain,
    succ(n5) = n6,
    inference(cnf_transformation,[],[f5]) ).

fof(f1707,plain,
    ~ spl42_197,
    inference(avatar_split_clause,[],[f589,f1704]) ).

fof(f1704,plain,
    ( spl42_197
  <=> n11 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_197])]) ).

fof(f589,plain,
    n11 != n16,
    inference(cnf_transformation,[],[f5]) ).

fof(f1702,plain,
    spl42_196,
    inference(avatar_split_clause,[],[f189,f1699]) ).

fof(f1699,plain,
    ( spl42_196
  <=> n16 = sum(n5,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_196])]) ).

fof(f189,plain,
    n16 = sum(n5,n11),
    inference(cnf_transformation,[],[f5]) ).

fof(f1697,plain,
    spl42_195,
    inference(avatar_split_clause,[],[f487,f1694]) ).

fof(f1694,plain,
    ( spl42_195
  <=> n0 = sum(n20,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_195])]) ).

fof(f487,plain,
    n0 = sum(n20,n1),
    inference(cnf_transformation,[],[f5]) ).

fof(f1692,plain,
    spl42_194,
    inference(avatar_split_clause,[],[f263,f1689]) ).

fof(f1689,plain,
    ( spl42_194
  <=> n3 = sum(n4,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_194])]) ).

fof(f263,plain,
    n3 = sum(n4,n20),
    inference(cnf_transformation,[],[f5]) ).

fof(f1687,plain,
    ~ spl42_193,
    inference(avatar_split_clause,[],[f661,f1684]) ).

fof(f1684,plain,
    ( spl42_193
  <=> n2 = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_193])]) ).

fof(f661,plain,
    n2 != n7,
    inference(cnf_transformation,[],[f5]) ).

fof(f1682,plain,
    ~ spl42_192,
    inference(avatar_split_clause,[],[f561,f1679]) ).

fof(f1679,plain,
    ( spl42_192
  <=> n0 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_192])]) ).

fof(f561,plain,
    n0 != n9,
    inference(cnf_transformation,[],[f5]) ).

fof(f1677,plain,
    spl42_191,
    inference(avatar_split_clause,[],[f163,f1674]) ).

fof(f1674,plain,
    ( spl42_191
  <=> n20 = sum(n3,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_191])]) ).

fof(f163,plain,
    n20 = sum(n3,n17),
    inference(cnf_transformation,[],[f5]) ).

fof(f1672,plain,
    spl42_190,
    inference(avatar_split_clause,[],[f431,f1669]) ).

fof(f1669,plain,
    ( spl42_190
  <=> succ(n13) = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_190])]) ).

fof(f431,plain,
    succ(n13) = n14,
    inference(cnf_transformation,[],[f5]) ).

fof(f1667,plain,
    spl42_189,
    inference(avatar_split_clause,[],[f320,f1664]) ).

fof(f1664,plain,
    ( spl42_189
  <=> n6 = pred(n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_189])]) ).

fof(f320,plain,
    n6 = pred(n7),
    inference(cnf_transformation,[],[f5]) ).

fof(f1662,plain,
    ~ spl42_188,
    inference(avatar_split_clause,[],[f630,f1659]) ).

fof(f1659,plain,
    ( spl42_188
  <=> n9 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_188])]) ).

fof(f630,plain,
    n9 != n19,
    inference(cnf_transformation,[],[f5]) ).

fof(f1657,plain,
    spl42_187,
    inference(avatar_split_clause,[],[f347,f1654]) ).

fof(f1654,plain,
    ( spl42_187
  <=> n9 = sum(n14,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_187])]) ).

fof(f347,plain,
    n9 = sum(n14,n16),
    inference(cnf_transformation,[],[f5]) ).

fof(f1652,plain,
    spl42_186,
    inference(avatar_split_clause,[],[f397,f1649]) ).

fof(f1649,plain,
    ( spl42_186
  <=> n17 = sum(n6,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_186])]) ).

fof(f397,plain,
    n17 = sum(n6,n11),
    inference(cnf_transformation,[],[f5]) ).

fof(f1647,plain,
    spl42_185,
    inference(avatar_split_clause,[],[f284,f1644]) ).

fof(f1644,plain,
    ( spl42_185
  <=> n1 = sum(n14,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_185])]) ).

fof(f284,plain,
    n1 = sum(n14,n8),
    inference(cnf_transformation,[],[f5]) ).

fof(f1642,plain,
    spl42_184,
    inference(avatar_split_clause,[],[f187,f1639]) ).

fof(f1639,plain,
    ( spl42_184
  <=> n10 = sum(n4,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_184])]) ).

fof(f187,plain,
    n10 = sum(n4,n6),
    inference(cnf_transformation,[],[f5]) ).

fof(f1637,plain,
    ~ spl42_183,
    inference(avatar_split_clause,[],[f734,f1634]) ).

fof(f1634,plain,
    ( spl42_183
  <=> n7 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_183])]) ).

fof(f734,plain,
    n7 != n10,
    inference(cnf_transformation,[],[f5]) ).

fof(f1632,plain,
    ~ spl42_182,
    inference(avatar_split_clause,[],[f83,f1629]) ).

fof(f1629,plain,
    ( spl42_182
  <=> n6 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_182])]) ).

fof(f83,plain,
    n6 != n9,
    inference(cnf_transformation,[],[f5]) ).

fof(f1627,plain,
    spl42_181,
    inference(avatar_split_clause,[],[f222,f1624]) ).

fof(f1624,plain,
    ( spl42_181
  <=> n14 = pred(n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_181])]) ).

fof(f222,plain,
    n14 = pred(n15),
    inference(cnf_transformation,[],[f5]) ).

fof(f1622,plain,
    ~ spl42_180,
    inference(avatar_split_clause,[],[f316,f1619]) ).

fof(f1619,plain,
    ( spl42_180
  <=> n8 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_180])]) ).

fof(f316,plain,
    n8 != n20,
    inference(cnf_transformation,[],[f5]) ).

fof(f1617,plain,
    spl42_179,
    inference(avatar_split_clause,[],[f583,f1614]) ).

fof(f1614,plain,
    ( spl42_179
  <=> n4 = sum(n10,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_179])]) ).

fof(f583,plain,
    n4 = sum(n10,n15),
    inference(cnf_transformation,[],[f5]) ).

fof(f1612,plain,
    spl42_178,
    inference(avatar_split_clause,[],[f118,f1609]) ).

fof(f1609,plain,
    ( spl42_178
  <=> n8 = sum(n11,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_178])]) ).

fof(f118,plain,
    n8 = sum(n11,n18),
    inference(cnf_transformation,[],[f5]) ).

fof(f1607,plain,
    spl42_177,
    inference(avatar_split_clause,[],[f556,f1604]) ).

fof(f1604,plain,
    ( spl42_177
  <=> sum(sum(pred(sK40),succ(sK40)),sum(pred(sK19),succ(sK19))) = sK16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_177])]) ).

fof(f556,plain,
    sum(sum(pred(sK40),succ(sK40)),sum(pred(sK19),succ(sK19))) = sK16,
    inference(cnf_transformation,[],[f5]) ).

fof(f1602,plain,
    spl42_176,
    inference(avatar_split_clause,[],[f174,f1599]) ).

fof(f1599,plain,
    ( spl42_176
  <=> n9 = sum(n7,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_176])]) ).

fof(f174,plain,
    n9 = sum(n7,n2),
    inference(cnf_transformation,[],[f5]) ).

fof(f1597,plain,
    ~ spl42_175,
    inference(avatar_split_clause,[],[f410,f1594]) ).

fof(f1594,plain,
    ( spl42_175
  <=> n4 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_175])]) ).

fof(f410,plain,
    n4 != n10,
    inference(cnf_transformation,[],[f5]) ).

fof(f1592,plain,
    spl42_174,
    inference(avatar_split_clause,[],[f603,f1589]) ).

fof(f1589,plain,
    ( spl42_174
  <=> succ(n3) = n4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_174])]) ).

fof(f603,plain,
    succ(n3) = n4,
    inference(cnf_transformation,[],[f5]) ).

fof(f1587,plain,
    ~ spl42_173,
    inference(avatar_split_clause,[],[f595,f1584]) ).

fof(f1584,plain,
    ( spl42_173
  <=> n2 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_173])]) ).

fof(f595,plain,
    n2 != n11,
    inference(cnf_transformation,[],[f5]) ).

fof(f1582,plain,
    ~ spl42_172,
    inference(avatar_split_clause,[],[f581,f1579]) ).

fof(f1579,plain,
    ( spl42_172
  <=> n18 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_172])]) ).

fof(f581,plain,
    n18 != n20,
    inference(cnf_transformation,[],[f5]) ).

fof(f1577,plain,
    spl42_171,
    inference(avatar_split_clause,[],[f38,f1574]) ).

fof(f1574,plain,
    ( spl42_171
  <=> n19 = sum(n15,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_171])]) ).

fof(f38,plain,
    n19 = sum(n15,n4),
    inference(cnf_transformation,[],[f5]) ).

fof(f1572,plain,
    spl42_170,
    inference(avatar_split_clause,[],[f483,f1569]) ).

fof(f1569,plain,
    ( spl42_170
  <=> n11 = sum(n18,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_170])]) ).

fof(f483,plain,
    n11 = sum(n18,n14),
    inference(cnf_transformation,[],[f5]) ).

fof(f1567,plain,
    ~ spl42_169,
    inference(avatar_split_clause,[],[f266,f1564]) ).

fof(f1564,plain,
    ( spl42_169
  <=> n9 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_169])]) ).

fof(f266,plain,
    n9 != n15,
    inference(cnf_transformation,[],[f5]) ).

fof(f1562,plain,
    spl42_168,
    inference(avatar_split_clause,[],[f716,f1559]) ).

fof(f1559,plain,
    ( spl42_168
  <=> n15 = pred(n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_168])]) ).

fof(f716,plain,
    n15 = pred(n16),
    inference(cnf_transformation,[],[f5]) ).

fof(f1557,plain,
    ~ spl42_167,
    inference(avatar_split_clause,[],[f348,f1554]) ).

fof(f1554,plain,
    ( spl42_167
  <=> n15 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_167])]) ).

fof(f348,plain,
    n15 != n18,
    inference(cnf_transformation,[],[f5]) ).

fof(f1552,plain,
    spl42_166,
    inference(avatar_split_clause,[],[f227,f1549]) ).

fof(f1549,plain,
    ( spl42_166
  <=> n18 = sum(n12,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_166])]) ).

fof(f227,plain,
    n18 = sum(n12,n6),
    inference(cnf_transformation,[],[f5]) ).

fof(f1547,plain,
    ~ spl42_165,
    inference(avatar_split_clause,[],[f497,f1544]) ).

fof(f1544,plain,
    ( spl42_165
  <=> n1 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_165])]) ).

fof(f497,plain,
    n1 != n11,
    inference(cnf_transformation,[],[f5]) ).

fof(f1542,plain,
    spl42_164,
    inference(avatar_split_clause,[],[f265,f1539]) ).

fof(f1539,plain,
    ( spl42_164
  <=> n8 = sum(n6,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_164])]) ).

fof(f265,plain,
    n8 = sum(n6,n2),
    inference(cnf_transformation,[],[f5]) ).

fof(f1537,plain,
    spl42_163,
    inference(avatar_split_clause,[],[f505,f1534]) ).

fof(f1534,plain,
    ( spl42_163
  <=> n1 = sum(n13,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_163])]) ).

fof(f505,plain,
    n1 = sum(n13,n9),
    inference(cnf_transformation,[],[f5]) ).

fof(f1532,plain,
    ~ spl42_162,
    inference(avatar_split_clause,[],[f253,f1529]) ).

fof(f1529,plain,
    ( spl42_162
  <=> n4 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_162])]) ).

fof(f253,plain,
    n4 != n8,
    inference(cnf_transformation,[],[f5]) ).

fof(f1527,plain,
    spl42_161,
    inference(avatar_split_clause,[],[f388,f1524]) ).

fof(f1524,plain,
    ( spl42_161
  <=> n4 = sum(n7,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_161])]) ).

fof(f388,plain,
    n4 = sum(n7,n18),
    inference(cnf_transformation,[],[f5]) ).

fof(f1522,plain,
    spl42_160,
    inference(avatar_split_clause,[],[f323,f1519]) ).

fof(f1519,plain,
    ( spl42_160
  <=> n6 = sum(n2,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_160])]) ).

fof(f323,plain,
    n6 = sum(n2,n4),
    inference(cnf_transformation,[],[f5]) ).

fof(f1517,plain,
    ~ spl42_159,
    inference(avatar_split_clause,[],[f557,f1514]) ).

fof(f1514,plain,
    ( spl42_159
  <=> n3 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_159])]) ).

fof(f557,plain,
    n3 != n12,
    inference(cnf_transformation,[],[f5]) ).

fof(f1512,plain,
    spl42_158,
    inference(avatar_split_clause,[],[f471,f1509]) ).

fof(f1509,plain,
    ( spl42_158
  <=> n19 = sum(n19,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_158])]) ).

fof(f471,plain,
    n19 = sum(n19,n0),
    inference(cnf_transformation,[],[f5]) ).

fof(f1507,plain,
    spl42_157,
    inference(avatar_split_clause,[],[f173,f1504]) ).

fof(f1504,plain,
    ( spl42_157
  <=> n5 = sum(n9,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_157])]) ).

fof(f173,plain,
    n5 = sum(n9,n17),
    inference(cnf_transformation,[],[f5]) ).

fof(f1502,plain,
    spl42_156,
    inference(avatar_split_clause,[],[f142,f1499]) ).

fof(f1499,plain,
    ( spl42_156
  <=> n9 = sum(n4,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_156])]) ).

fof(f142,plain,
    n9 = sum(n4,n5),
    inference(cnf_transformation,[],[f5]) ).

fof(f1497,plain,
    spl42_155,
    inference(avatar_split_clause,[],[f351,f1494]) ).

fof(f1494,plain,
    ( spl42_155
  <=> n10 = sum(n15,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_155])]) ).

fof(f351,plain,
    n10 = sum(n15,n16),
    inference(cnf_transformation,[],[f5]) ).

fof(f1492,plain,
    spl42_154,
    inference(avatar_split_clause,[],[f334,f1489]) ).

fof(f1489,plain,
    ( spl42_154
  <=> n16 = sum(n9,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_154])]) ).

fof(f334,plain,
    n16 = sum(n9,n7),
    inference(cnf_transformation,[],[f5]) ).

fof(f1487,plain,
    ~ spl42_153,
    inference(avatar_split_clause,[],[f269,f1484]) ).

fof(f1484,plain,
    ( spl42_153
  <=> n9 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_153])]) ).

fof(f269,plain,
    n9 != n17,
    inference(cnf_transformation,[],[f5]) ).

fof(f1482,plain,
    spl42_152,
    inference(avatar_split_clause,[],[f171,f1479]) ).

fof(f1479,plain,
    ( spl42_152
  <=> n20 = sum(n20,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_152])]) ).

fof(f171,plain,
    n20 = sum(n20,n0),
    inference(cnf_transformation,[],[f5]) ).

fof(f1477,plain,
    spl42_151,
    inference(avatar_split_clause,[],[f258,f1474]) ).

fof(f1474,plain,
    ( spl42_151
  <=> n14 = sum(n15,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_151])]) ).

fof(f258,plain,
    n14 = sum(n15,n20),
    inference(cnf_transformation,[],[f5]) ).

fof(f1472,plain,
    spl42_150,
    inference(avatar_split_clause,[],[f359,f1469]) ).

fof(f1469,plain,
    ( spl42_150
  <=> n18 = sum(n3,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_150])]) ).

fof(f359,plain,
    n18 = sum(n3,n15),
    inference(cnf_transformation,[],[f5]) ).

fof(f1467,plain,
    ( ~ spl42_130
    | ~ spl42_131
    | ~ spl42_132
    | ~ spl42_133
    | ~ spl42_134
    | ~ spl42_135
    | ~ spl42_136
    | ~ spl42_137
    | ~ spl42_138
    | ~ spl42_139
    | ~ spl42_140
    | ~ spl42_141
    | ~ spl42_142
    | ~ spl42_143
    | ~ spl42_144
    | ~ spl42_145
    | ~ spl42_146
    | ~ spl42_147
    | ~ spl42_148
    | ~ spl42_149 ),
    inference(avatar_split_clause,[],[f306,f1464,f1460,f1456,f1452,f1448,f1444,f1440,f1436,f1432,f1428,f1424,f1420,f1416,f1412,f1408,f1404,f1400,f1396,f1392,f1388]) ).

fof(f1388,plain,
    ( spl42_130
  <=> sK7 = sK16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_130])]) ).

fof(f1392,plain,
    ( spl42_131
  <=> sK1 = sK29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_131])]) ).

fof(f1396,plain,
    ( spl42_132
  <=> sK37 = sK10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_132])]) ).

fof(f1400,plain,
    ( spl42_133
  <=> sK14 = sK18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_133])]) ).

fof(f1404,plain,
    ( spl42_134
  <=> sK20 = sK6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_134])]) ).

fof(f1408,plain,
    ( spl42_135
  <=> sK4 = sK33 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_135])]) ).

fof(f1412,plain,
    ( spl42_136
  <=> sK28 = sK25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_136])]) ).

fof(f1416,plain,
    ( spl42_137
  <=> sK0 = sK9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_137])]) ).

fof(f1420,plain,
    ( spl42_138
  <=> sK32 = sK3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_138])]) ).

fof(f1424,plain,
    ( spl42_139
  <=> sK19 = sK40 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_139])]) ).

fof(f1428,plain,
    ( spl42_140
  <=> sK36 = sK15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_140])]) ).

fof(f1432,plain,
    ( spl42_141
  <=> sK2 = sK5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_141])]) ).

fof(f1436,plain,
    ( spl42_142
  <=> sK12 = sK30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_142])]) ).

fof(f1440,plain,
    ( spl42_143
  <=> sK21 = sK17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_143])]) ).

fof(f1444,plain,
    ( spl42_144
  <=> sK38 = sK24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_144])]) ).

fof(f1448,plain,
    ( spl42_145
  <=> sK39 = sK11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_145])]) ).

fof(f1452,plain,
    ( spl42_146
  <=> sK27 = sK8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_146])]) ).

fof(f1456,plain,
    ( spl42_147
  <=> sK35 = sK13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_147])]) ).

fof(f1460,plain,
    ( spl42_148
  <=> sK34 = sK41 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_148])]) ).

fof(f1464,plain,
    ( spl42_149
  <=> sK26 = sK31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_149])]) ).

fof(f306,plain,
    ( sK26 != sK31
    | sK34 != sK41
    | sK35 != sK13
    | sK27 != sK8
    | sK39 != sK11
    | sK38 != sK24
    | sK21 != sK17
    | sK12 != sK30
    | sK2 != sK5
    | sK36 != sK15
    | sK19 != sK40
    | sK32 != sK3
    | sK0 != sK9
    | sK28 != sK25
    | sK4 != sK33
    | sK20 != sK6
    | sK14 != sK18
    | sK37 != sK10
    | sK1 != sK29
    | sK7 != sK16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f1386,plain,
    ~ spl42_129,
    inference(avatar_split_clause,[],[f54,f1383]) ).

fof(f1383,plain,
    ( spl42_129
  <=> n10 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_129])]) ).

fof(f54,plain,
    n10 != n18,
    inference(cnf_transformation,[],[f5]) ).

fof(f1381,plain,
    ~ spl42_128,
    inference(avatar_split_clause,[],[f8,f1378]) ).

fof(f1378,plain,
    ( spl42_128
  <=> n0 = n1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_128])]) ).

fof(f8,plain,
    n0 != n1,
    inference(cnf_transformation,[],[f5]) ).

fof(f1376,plain,
    spl42_127,
    inference(avatar_split_clause,[],[f289,f1373]) ).

fof(f1373,plain,
    ( spl42_127
  <=> sK17 = sum(sum(pred(sK18),succ(sK14)),sum(pred(sK14),succ(sK18))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_127])]) ).

fof(f289,plain,
    sK17 = sum(sum(pred(sK18),succ(sK14)),sum(pred(sK14),succ(sK18))),
    inference(cnf_transformation,[],[f5]) ).

fof(f1371,plain,
    spl42_126,
    inference(avatar_split_clause,[],[f470,f1368]) ).

fof(f1368,plain,
    ( spl42_126
  <=> n5 = sum(n0,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_126])]) ).

fof(f470,plain,
    n5 = sum(n0,n5),
    inference(cnf_transformation,[],[f5]) ).

fof(f1366,plain,
    spl42_125,
    inference(avatar_split_clause,[],[f415,f1363]) ).

fof(f1363,plain,
    ( spl42_125
  <=> n11 = sum(n14,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_125])]) ).

fof(f415,plain,
    n11 = sum(n14,n18),
    inference(cnf_transformation,[],[f5]) ).

fof(f1361,plain,
    spl42_124,
    inference(avatar_split_clause,[],[f312,f1358]) ).

fof(f1358,plain,
    ( spl42_124
  <=> n7 = sum(n19,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_124])]) ).

fof(f312,plain,
    n7 = sum(n19,n9),
    inference(cnf_transformation,[],[f5]) ).

fof(f1356,plain,
    spl42_123,
    inference(avatar_split_clause,[],[f374,f1353]) ).

fof(f1353,plain,
    ( spl42_123
  <=> n15 = sum(n12,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_123])]) ).

fof(f374,plain,
    n15 = sum(n12,n3),
    inference(cnf_transformation,[],[f5]) ).

fof(f1351,plain,
    spl42_122,
    inference(avatar_split_clause,[],[f300,f1348]) ).

fof(f1348,plain,
    ( spl42_122
  <=> n11 = sum(n9,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_122])]) ).

fof(f300,plain,
    n11 = sum(n9,n2),
    inference(cnf_transformation,[],[f5]) ).

fof(f1346,plain,
    spl42_121,
    inference(avatar_split_clause,[],[f147,f1343]) ).

fof(f1343,plain,
    ( spl42_121
  <=> n10 = sum(n14,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_121])]) ).

fof(f147,plain,
    n10 = sum(n14,n17),
    inference(cnf_transformation,[],[f5]) ).

fof(f1341,plain,
    spl42_120,
    inference(avatar_split_clause,[],[f57,f1338]) ).

fof(f1338,plain,
    ( spl42_120
  <=> n4 = sum(n11,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_120])]) ).

fof(f57,plain,
    n4 = sum(n11,n14),
    inference(cnf_transformation,[],[f5]) ).

fof(f1336,plain,
    spl42_119,
    inference(avatar_split_clause,[],[f718,f1333]) ).

fof(f1333,plain,
    ( spl42_119
  <=> n20 = sum(n0,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_119])]) ).

fof(f718,plain,
    n20 = sum(n0,n20),
    inference(cnf_transformation,[],[f5]) ).

fof(f1331,plain,
    ~ spl42_118,
    inference(avatar_split_clause,[],[f325,f1328]) ).

fof(f1328,plain,
    ( spl42_118
  <=> n7 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_118])]) ).

fof(f325,plain,
    n7 != n16,
    inference(cnf_transformation,[],[f5]) ).

fof(f1326,plain,
    spl42_117,
    inference(avatar_split_clause,[],[f137,f1323]) ).

fof(f1323,plain,
    ( spl42_117
  <=> n1 = sum(n10,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_117])]) ).

fof(f137,plain,
    n1 = sum(n10,n12),
    inference(cnf_transformation,[],[f5]) ).

fof(f1321,plain,
    ~ spl42_116,
    inference(avatar_split_clause,[],[f297,f1318]) ).

fof(f1318,plain,
    ( spl42_116
  <=> n4 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_116])]) ).

fof(f297,plain,
    n4 != n17,
    inference(cnf_transformation,[],[f5]) ).

fof(f1316,plain,
    spl42_115,
    inference(avatar_split_clause,[],[f58,f1313]) ).

fof(f1313,plain,
    ( spl42_115
  <=> n18 = sum(n18,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_115])]) ).

fof(f58,plain,
    n18 = sum(n18,n0),
    inference(cnf_transformation,[],[f5]) ).

fof(f1311,plain,
    spl42_114,
    inference(avatar_split_clause,[],[f555,f1308]) ).

fof(f1308,plain,
    ( spl42_114
  <=> n8 = sum(n20,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_114])]) ).

fof(f555,plain,
    n8 = sum(n20,n9),
    inference(cnf_transformation,[],[f5]) ).

fof(f1306,plain,
    spl42_113,
    inference(avatar_split_clause,[],[f634,f1303]) ).

fof(f1303,plain,
    ( spl42_113
  <=> n11 = sum(n5,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_113])]) ).

fof(f634,plain,
    n11 = sum(n5,n6),
    inference(cnf_transformation,[],[f5]) ).

fof(f1301,plain,
    spl42_112,
    inference(avatar_split_clause,[],[f726,f1298]) ).

fof(f1298,plain,
    ( spl42_112
  <=> n16 = sum(n0,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_112])]) ).

fof(f726,plain,
    n16 = sum(n0,n16),
    inference(cnf_transformation,[],[f5]) ).

fof(f1296,plain,
    spl42_111,
    inference(avatar_split_clause,[],[f18,f1293]) ).

fof(f1293,plain,
    ( spl42_111
  <=> sum(sum(pred(sK17),succ(sK21)),sum(pred(sK21),succ(sK17))) = sK33 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_111])]) ).

fof(f18,plain,
    sum(sum(pred(sK17),succ(sK21)),sum(pred(sK21),succ(sK17))) = sK33,
    inference(cnf_transformation,[],[f5]) ).

fof(f1291,plain,
    spl42_110,
    inference(avatar_split_clause,[],[f601,f1288]) ).

fof(f1288,plain,
    ( spl42_110
  <=> n2 = sum(n2,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_110])]) ).

fof(f601,plain,
    n2 = sum(n2,n0),
    inference(cnf_transformation,[],[f5]) ).

fof(f1286,plain,
    ~ spl42_109,
    inference(avatar_split_clause,[],[f150,f1283]) ).

fof(f1283,plain,
    ( spl42_109
  <=> n0 = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_109])]) ).

fof(f150,plain,
    n0 != n7,
    inference(cnf_transformation,[],[f5]) ).

fof(f1281,plain,
    spl42_108,
    inference(avatar_split_clause,[],[f275,f1278]) ).

fof(f1278,plain,
    ( spl42_108
  <=> n2 = sum(n13,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_108])]) ).

fof(f275,plain,
    n2 = sum(n13,n10),
    inference(cnf_transformation,[],[f5]) ).

fof(f1276,plain,
    ~ spl42_107,
    inference(avatar_split_clause,[],[f503,f1273]) ).

fof(f1273,plain,
    ( spl42_107
  <=> n2 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_107])]) ).

fof(f503,plain,
    n2 != n17,
    inference(cnf_transformation,[],[f5]) ).

fof(f1271,plain,
    ~ spl42_106,
    inference(avatar_split_clause,[],[f455,f1268]) ).

fof(f1268,plain,
    ( spl42_106
  <=> n0 = n5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_106])]) ).

fof(f455,plain,
    n0 != n5,
    inference(cnf_transformation,[],[f5]) ).

fof(f1266,plain,
    spl42_105,
    inference(avatar_split_clause,[],[f41,f1263]) ).

fof(f1263,plain,
    ( spl42_105
  <=> n6 = sum(n3,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_105])]) ).

fof(f41,plain,
    n6 = sum(n3,n3),
    inference(cnf_transformation,[],[f5]) ).

fof(f1261,plain,
    spl42_104,
    inference(avatar_split_clause,[],[f96,f1258]) ).

fof(f1258,plain,
    ( spl42_104
  <=> n11 = sum(n19,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_104])]) ).

fof(f96,plain,
    n11 = sum(n19,n13),
    inference(cnf_transformation,[],[f5]) ).

fof(f1256,plain,
    spl42_103,
    inference(avatar_split_clause,[],[f596,f1253]) ).

fof(f1253,plain,
    ( spl42_103
  <=> n18 = sum(n6,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_103])]) ).

fof(f596,plain,
    n18 = sum(n6,n12),
    inference(cnf_transformation,[],[f5]) ).

fof(f1251,plain,
    ~ spl42_102,
    inference(avatar_split_clause,[],[f196,f1248]) ).

fof(f1248,plain,
    ( spl42_102
  <=> n12 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_102])]) ).

fof(f196,plain,
    n12 != n16,
    inference(cnf_transformation,[],[f5]) ).

fof(f1246,plain,
    spl42_101,
    inference(avatar_split_clause,[],[f660,f1243]) ).

fof(f1243,plain,
    ( spl42_101
  <=> n8 = sum(n5,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_101])]) ).

fof(f660,plain,
    n8 = sum(n5,n3),
    inference(cnf_transformation,[],[f5]) ).

fof(f1241,plain,
    spl42_100,
    inference(avatar_split_clause,[],[f659,f1238]) ).

fof(f1238,plain,
    ( spl42_100
  <=> sK11 = sum(sum(pred(sK12),succ(sK30)),sum(pred(sK30),succ(sK12))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_100])]) ).

fof(f659,plain,
    sK11 = sum(sum(pred(sK12),succ(sK30)),sum(pred(sK30),succ(sK12))),
    inference(cnf_transformation,[],[f5]) ).

fof(f1236,plain,
    spl42_99,
    inference(avatar_split_clause,[],[f439,f1233]) ).

fof(f1233,plain,
    ( spl42_99
  <=> n19 = sum(n7,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_99])]) ).

fof(f439,plain,
    n19 = sum(n7,n12),
    inference(cnf_transformation,[],[f5]) ).

fof(f1231,plain,
    spl42_98,
    inference(avatar_split_clause,[],[f677,f1228]) ).

fof(f1228,plain,
    ( spl42_98
  <=> n20 = sum(n6,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_98])]) ).

fof(f677,plain,
    n20 = sum(n6,n14),
    inference(cnf_transformation,[],[f5]) ).

fof(f1226,plain,
    ~ spl42_97,
    inference(avatar_split_clause,[],[f686,f1223]) ).

fof(f1223,plain,
    ( spl42_97
  <=> n1 = n6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_97])]) ).

fof(f686,plain,
    n1 != n6,
    inference(cnf_transformation,[],[f5]) ).

fof(f1221,plain,
    spl42_96,
    inference(avatar_split_clause,[],[f479,f1218]) ).

fof(f1218,plain,
    ( spl42_96
  <=> n16 = sum(n4,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_96])]) ).

fof(f479,plain,
    n16 = sum(n4,n12),
    inference(cnf_transformation,[],[f5]) ).

fof(f1216,plain,
    ~ spl42_95,
    inference(avatar_split_clause,[],[f632,f1213]) ).

fof(f1213,plain,
    ( spl42_95
  <=> n0 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_95])]) ).

fof(f632,plain,
    n0 != n14,
    inference(cnf_transformation,[],[f5]) ).

fof(f1211,plain,
    ~ spl42_94,
    inference(avatar_split_clause,[],[f27,f1208]) ).

fof(f1208,plain,
    ( spl42_94
  <=> n3 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_94])]) ).

fof(f27,plain,
    n3 != n20,
    inference(cnf_transformation,[],[f5]) ).

fof(f1206,plain,
    spl42_93,
    inference(avatar_split_clause,[],[f382,f1203]) ).

fof(f1203,plain,
    ( spl42_93
  <=> sK2 = sum(sum(pred(sK24),succ(sK38)),sum(pred(sK38),succ(sK24))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_93])]) ).

fof(f382,plain,
    sK2 = sum(sum(pred(sK24),succ(sK38)),sum(pred(sK38),succ(sK24))),
    inference(cnf_transformation,[],[f5]) ).

fof(f1201,plain,
    spl42_92,
    inference(avatar_split_clause,[],[f611,f1198]) ).

fof(f1198,plain,
    ( spl42_92
  <=> n19 = sum(n9,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_92])]) ).

fof(f611,plain,
    n19 = sum(n9,n10),
    inference(cnf_transformation,[],[f5]) ).

fof(f1196,plain,
    spl42_91,
    inference(avatar_split_clause,[],[f221,f1193]) ).

fof(f1193,plain,
    ( spl42_91
  <=> n7 = sum(n15,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_91])]) ).

fof(f221,plain,
    n7 = sum(n15,n13),
    inference(cnf_transformation,[],[f5]) ).

fof(f1191,plain,
    spl42_90,
    inference(avatar_split_clause,[],[f309,f1188]) ).

fof(f1188,plain,
    ( spl42_90
  <=> n9 = sum(n5,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_90])]) ).

fof(f309,plain,
    n9 = sum(n5,n4),
    inference(cnf_transformation,[],[f5]) ).

fof(f1186,plain,
    spl42_89,
    inference(avatar_split_clause,[],[f495,f1183]) ).

fof(f1183,plain,
    ( spl42_89
  <=> n16 = pred(n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_89])]) ).

fof(f495,plain,
    n16 = pred(n17),
    inference(cnf_transformation,[],[f5]) ).

fof(f1181,plain,
    ~ spl42_88,
    inference(avatar_split_clause,[],[f624,f1178]) ).

fof(f1178,plain,
    ( spl42_88
  <=> n3 = n4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_88])]) ).

fof(f624,plain,
    n3 != n4,
    inference(cnf_transformation,[],[f5]) ).

fof(f1176,plain,
    spl42_87,
    inference(avatar_split_clause,[],[f358,f1173]) ).

fof(f1173,plain,
    ( spl42_87
  <=> sum(sum(pred(sK25),succ(sK28)),sum(pred(sK28),succ(sK25))) = sK12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_87])]) ).

fof(f358,plain,
    sum(sum(pred(sK25),succ(sK28)),sum(pred(sK28),succ(sK25))) = sK12,
    inference(cnf_transformation,[],[f5]) ).

fof(f1171,plain,
    spl42_86,
    inference(avatar_split_clause,[],[f364,f1168]) ).

fof(f1168,plain,
    ( spl42_86
  <=> n15 = sum(n10,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_86])]) ).

fof(f364,plain,
    n15 = sum(n10,n5),
    inference(cnf_transformation,[],[f5]) ).

fof(f1166,plain,
    spl42_85,
    inference(avatar_split_clause,[],[f625,f1163]) ).

fof(f1163,plain,
    ( spl42_85
  <=> n14 = sum(n8,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_85])]) ).

fof(f625,plain,
    n14 = sum(n8,n6),
    inference(cnf_transformation,[],[f5]) ).

fof(f1161,plain,
    spl42_84,
    inference(avatar_split_clause,[],[f469,f1158]) ).

fof(f1158,plain,
    ( spl42_84
  <=> n17 = sum(n14,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_84])]) ).

fof(f469,plain,
    n17 = sum(n14,n3),
    inference(cnf_transformation,[],[f5]) ).

fof(f1156,plain,
    ~ spl42_83,
    inference(avatar_split_clause,[],[f49,f1153]) ).

fof(f1153,plain,
    ( spl42_83
  <=> n0 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_83])]) ).

fof(f49,plain,
    n0 != n18,
    inference(cnf_transformation,[],[f5]) ).

fof(f1151,plain,
    spl42_82,
    inference(avatar_split_clause,[],[f190,f1148]) ).

fof(f1148,plain,
    ( spl42_82
  <=> n2 = sum(n9,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_82])]) ).

fof(f190,plain,
    n2 = sum(n9,n14),
    inference(cnf_transformation,[],[f5]) ).

fof(f1146,plain,
    spl42_81,
    inference(avatar_split_clause,[],[f301,f1143]) ).

fof(f1143,plain,
    ( spl42_81
  <=> n11 = sum(n10,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_81])]) ).

fof(f301,plain,
    n11 = sum(n10,n1),
    inference(cnf_transformation,[],[f5]) ).

fof(f1141,plain,
    spl42_80,
    inference(avatar_split_clause,[],[f587,f1138]) ).

fof(f1138,plain,
    ( spl42_80
  <=> n11 = pred(n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_80])]) ).

fof(f587,plain,
    n11 = pred(n12),
    inference(cnf_transformation,[],[f5]) ).

fof(f1136,plain,
    spl42_79,
    inference(avatar_split_clause,[],[f559,f1133]) ).

fof(f1133,plain,
    ( spl42_79
  <=> n3 = sum(n5,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_79])]) ).

fof(f559,plain,
    n3 = sum(n5,n19),
    inference(cnf_transformation,[],[f5]) ).

fof(f1131,plain,
    spl42_78,
    inference(avatar_split_clause,[],[f198,f1128]) ).

fof(f1128,plain,
    ( spl42_78
  <=> n11 = sum(n16,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_78])]) ).

fof(f198,plain,
    n11 = sum(n16,n16),
    inference(cnf_transformation,[],[f5]) ).

fof(f1126,plain,
    ~ spl42_77,
    inference(avatar_split_clause,[],[f641,f1123]) ).

fof(f1123,plain,
    ( spl42_77
  <=> n5 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_77])]) ).

fof(f641,plain,
    n5 != n14,
    inference(cnf_transformation,[],[f5]) ).

fof(f1121,plain,
    ~ spl42_76,
    inference(avatar_split_clause,[],[f180,f1118]) ).

fof(f1118,plain,
    ( spl42_76
  <=> n1 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_76])]) ).

fof(f180,plain,
    n1 != n13,
    inference(cnf_transformation,[],[f5]) ).

fof(f1116,plain,
    ~ spl42_75,
    inference(avatar_split_clause,[],[f44,f1113]) ).

fof(f1113,plain,
    ( spl42_75
  <=> n9 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_75])]) ).

fof(f44,plain,
    n9 != n20,
    inference(cnf_transformation,[],[f5]) ).

fof(f1111,plain,
    spl42_74,
    inference(avatar_split_clause,[],[f365,f1108]) ).

fof(f1108,plain,
    ( spl42_74
  <=> n18 = sum(n4,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_74])]) ).

fof(f365,plain,
    n18 = sum(n4,n14),
    inference(cnf_transformation,[],[f5]) ).

fof(f1106,plain,
    spl42_73,
    inference(avatar_split_clause,[],[f684,f1103]) ).

fof(f1103,plain,
    ( spl42_73
  <=> n15 = sum(n7,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_73])]) ).

fof(f684,plain,
    n15 = sum(n7,n8),
    inference(cnf_transformation,[],[f5]) ).

fof(f1101,plain,
    ~ spl42_72,
    inference(avatar_split_clause,[],[f681,f1098]) ).

fof(f1098,plain,
    ( spl42_72
  <=> n13 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_72])]) ).

fof(f681,plain,
    n13 != n19,
    inference(cnf_transformation,[],[f5]) ).

fof(f1096,plain,
    spl42_71,
    inference(avatar_split_clause,[],[f527,f1093]) ).

fof(f1093,plain,
    ( spl42_71
  <=> n3 = sum(n15,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_71])]) ).

fof(f527,plain,
    n3 = sum(n15,n9),
    inference(cnf_transformation,[],[f5]) ).

fof(f1091,plain,
    ~ spl42_70,
    inference(avatar_split_clause,[],[f282,f1088]) ).

fof(f1088,plain,
    ( spl42_70
  <=> n9 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_70])]) ).

fof(f282,plain,
    n9 != n11,
    inference(cnf_transformation,[],[f5]) ).

fof(f1086,plain,
    spl42_69,
    inference(avatar_split_clause,[],[f433,f1083]) ).

fof(f1083,plain,
    ( spl42_69
  <=> n12 = sum(n6,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_69])]) ).

fof(f433,plain,
    n12 = sum(n6,n6),
    inference(cnf_transformation,[],[f5]) ).

fof(f1081,plain,
    spl42_68,
    inference(avatar_split_clause,[],[f151,f1078]) ).

fof(f1078,plain,
    ( spl42_68
  <=> n2 = sum(n20,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_68])]) ).

fof(f151,plain,
    n2 = sum(n20,n3),
    inference(cnf_transformation,[],[f5]) ).

fof(f1076,plain,
    ~ spl42_67,
    inference(avatar_split_clause,[],[f82,f1073]) ).

fof(f1073,plain,
    ( spl42_67
  <=> n0 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_67])]) ).

fof(f82,plain,
    n0 != n16,
    inference(cnf_transformation,[],[f5]) ).

fof(f1071,plain,
    spl42_66,
    inference(avatar_split_clause,[],[f313,f1068]) ).

fof(f1068,plain,
    ( spl42_66
  <=> sum(sum(pred(sK6),succ(sK6)),sum(pred(sK20),succ(sK20))) = sK15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_66])]) ).

fof(f313,plain,
    sum(sum(pred(sK6),succ(sK6)),sum(pred(sK20),succ(sK20))) = sK15,
    inference(cnf_transformation,[],[f5]) ).

fof(f1066,plain,
    spl42_65,
    inference(avatar_split_clause,[],[f152,f1063]) ).

fof(f1063,plain,
    ( spl42_65
  <=> n3 = pred(n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_65])]) ).

fof(f152,plain,
    n3 = pred(n4),
    inference(cnf_transformation,[],[f5]) ).

fof(f1061,plain,
    spl42_64,
    inference(avatar_split_clause,[],[f608,f1058]) ).

fof(f1058,plain,
    ( spl42_64
  <=> n14 = sum(n7,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_64])]) ).

fof(f608,plain,
    n14 = sum(n7,n7),
    inference(cnf_transformation,[],[f5]) ).

fof(f1056,plain,
    spl42_63,
    inference(avatar_split_clause,[],[f511,f1053]) ).

fof(f1053,plain,
    ( spl42_63
  <=> n17 = sum(n10,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_63])]) ).

fof(f511,plain,
    n17 = sum(n10,n7),
    inference(cnf_transformation,[],[f5]) ).

fof(f1051,plain,
    spl42_62,
    inference(avatar_split_clause,[],[f612,f1048]) ).

fof(f1048,plain,
    ( spl42_62
  <=> n8 = sum(n8,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_62])]) ).

fof(f612,plain,
    n8 = sum(n8,n0),
    inference(cnf_transformation,[],[f5]) ).

fof(f1046,plain,
    spl42_61,
    inference(avatar_split_clause,[],[f393,f1043]) ).

fof(f1043,plain,
    ( spl42_61
  <=> n13 = sum(n7,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_61])]) ).

fof(f393,plain,
    n13 = sum(n7,n6),
    inference(cnf_transformation,[],[f5]) ).

fof(f1041,plain,
    spl42_60,
    inference(avatar_split_clause,[],[f15,f1038]) ).

fof(f1038,plain,
    ( spl42_60
  <=> sK34 = sum(sum(pred(sK7),succ(sK7)),sum(pred(sK16),succ(sK16))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_60])]) ).

fof(f15,plain,
    sK34 = sum(sum(pred(sK7),succ(sK7)),sum(pred(sK16),succ(sK16))),
    inference(cnf_transformation,[],[f5]) ).

fof(f1036,plain,
    spl42_59,
    inference(avatar_split_clause,[],[f385,f1033]) ).

fof(f1033,plain,
    ( spl42_59
  <=> n4 = sum(n1,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_59])]) ).

fof(f385,plain,
    n4 = sum(n1,n3),
    inference(cnf_transformation,[],[f5]) ).

fof(f1031,plain,
    spl42_58,
    inference(avatar_split_clause,[],[f466,f1028]) ).

fof(f1028,plain,
    ( spl42_58
  <=> n17 = sum(n8,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_58])]) ).

fof(f466,plain,
    n17 = sum(n8,n9),
    inference(cnf_transformation,[],[f5]) ).

fof(f1026,plain,
    spl42_57,
    inference(avatar_split_clause,[],[f508,f1023]) ).

fof(f1023,plain,
    ( spl42_57
  <=> n17 = sum(n15,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_57])]) ).

fof(f508,plain,
    n17 = sum(n15,n2),
    inference(cnf_transformation,[],[f5]) ).

fof(f1021,plain,
    spl42_56,
    inference(avatar_split_clause,[],[f154,f1018]) ).

fof(f1018,plain,
    ( spl42_56
  <=> n12 = sum(n17,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_56])]) ).

fof(f154,plain,
    n12 = sum(n17,n16),
    inference(cnf_transformation,[],[f5]) ).

fof(f1016,plain,
    spl42_55,
    inference(avatar_split_clause,[],[f501,f1013]) ).

fof(f1013,plain,
    ( spl42_55
  <=> n0 = sum(n13,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_55])]) ).

fof(f501,plain,
    n0 = sum(n13,n8),
    inference(cnf_transformation,[],[f5]) ).

fof(f1011,plain,
    ~ spl42_54,
    inference(avatar_split_clause,[],[f688,f1008]) ).

fof(f1008,plain,
    ( spl42_54
  <=> n3 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_54])]) ).

fof(f688,plain,
    n3 != n14,
    inference(cnf_transformation,[],[f5]) ).

fof(f1006,plain,
    spl42_53,
    inference(avatar_split_clause,[],[f288,f1003]) ).

fof(f1003,plain,
    ( spl42_53
  <=> n16 = sum(n17,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_53])]) ).

fof(f288,plain,
    n16 = sum(n17,n20),
    inference(cnf_transformation,[],[f5]) ).

fof(f1001,plain,
    spl42_52,
    inference(avatar_split_clause,[],[f181,f998]) ).

fof(f998,plain,
    ( spl42_52
  <=> n19 = sum(n1,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_52])]) ).

fof(f181,plain,
    n19 = sum(n1,n18),
    inference(cnf_transformation,[],[f5]) ).

fof(f996,plain,
    spl42_51,
    inference(avatar_split_clause,[],[f597,f993]) ).

fof(f993,plain,
    ( spl42_51
  <=> n19 = sum(n14,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_51])]) ).

fof(f597,plain,
    n19 = sum(n14,n5),
    inference(cnf_transformation,[],[f5]) ).

fof(f991,plain,
    ~ spl42_50,
    inference(avatar_split_clause,[],[f492,f988]) ).

fof(f988,plain,
    ( spl42_50
  <=> n7 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_50])]) ).

fof(f492,plain,
    n7 != n14,
    inference(cnf_transformation,[],[f5]) ).

fof(f986,plain,
    ~ spl42_49,
    inference(avatar_split_clause,[],[f344,f983]) ).

fof(f983,plain,
    ( spl42_49
  <=> n16 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_49])]) ).

fof(f344,plain,
    n16 != n19,
    inference(cnf_transformation,[],[f5]) ).

fof(f981,plain,
    spl42_48,
    inference(avatar_split_clause,[],[f339,f978]) ).

fof(f978,plain,
    ( spl42_48
  <=> n16 = sum(n11,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_48])]) ).

fof(f339,plain,
    n16 = sum(n11,n5),
    inference(cnf_transformation,[],[f5]) ).

fof(f976,plain,
    spl42_47,
    inference(avatar_split_clause,[],[f40,f973]) ).

fof(f973,plain,
    ( spl42_47
  <=> n20 = sum(n2,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_47])]) ).

fof(f40,plain,
    n20 = sum(n2,n18),
    inference(cnf_transformation,[],[f5]) ).

fof(f971,plain,
    spl42_46,
    inference(avatar_split_clause,[],[f486,f968]) ).

fof(f968,plain,
    ( spl42_46
  <=> n9 = sum(n8,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_46])]) ).

fof(f486,plain,
    n9 = sum(n8,n1),
    inference(cnf_transformation,[],[f5]) ).

fof(f966,plain,
    spl42_45,
    inference(avatar_split_clause,[],[f442,f963]) ).

fof(f963,plain,
    ( spl42_45
  <=> n10 = sum(n16,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_45])]) ).

fof(f442,plain,
    n10 = sum(n16,n15),
    inference(cnf_transformation,[],[f5]) ).

fof(f961,plain,
    spl42_44,
    inference(avatar_split_clause,[],[f123,f958]) ).

fof(f958,plain,
    ( spl42_44
  <=> n13 = sum(n17,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_44])]) ).

fof(f123,plain,
    n13 = sum(n17,n17),
    inference(cnf_transformation,[],[f5]) ).

fof(f956,plain,
    spl42_43,
    inference(avatar_split_clause,[],[f218,f953]) ).

fof(f953,plain,
    ( spl42_43
  <=> n5 = sum(n10,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_43])]) ).

fof(f218,plain,
    n5 = sum(n10,n16),
    inference(cnf_transformation,[],[f5]) ).

fof(f951,plain,
    spl42_42,
    inference(avatar_split_clause,[],[f30,f948]) ).

fof(f948,plain,
    ( spl42_42
  <=> n5 = sum(n16,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_42])]) ).

fof(f30,plain,
    n5 = sum(n16,n10),
    inference(cnf_transformation,[],[f5]) ).

fof(f946,plain,
    spl42_41,
    inference(avatar_split_clause,[],[f168,f943]) ).

fof(f943,plain,
    ( spl42_41
  <=> n1 = sum(n6,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_41])]) ).

fof(f168,plain,
    n1 = sum(n6,n16),
    inference(cnf_transformation,[],[f5]) ).

fof(f941,plain,
    ~ spl42_40,
    inference(avatar_split_clause,[],[f379,f938]) ).

fof(f938,plain,
    ( spl42_40
  <=> n8 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_40])]) ).

fof(f379,plain,
    n8 != n19,
    inference(cnf_transformation,[],[f5]) ).

fof(f936,plain,
    spl42_39,
    inference(avatar_split_clause,[],[f692,f933]) ).

fof(f933,plain,
    ( spl42_39
  <=> n17 = sum(n7,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_39])]) ).

fof(f692,plain,
    n17 = sum(n7,n10),
    inference(cnf_transformation,[],[f5]) ).

fof(f931,plain,
    spl42_38,
    inference(avatar_split_clause,[],[f664,f928]) ).

fof(f928,plain,
    ( spl42_38
  <=> n20 = sum(n12,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_38])]) ).

fof(f664,plain,
    n20 = sum(n12,n8),
    inference(cnf_transformation,[],[f5]) ).

fof(f926,plain,
    ~ spl42_37,
    inference(avatar_split_clause,[],[f588,f923]) ).

fof(f923,plain,
    ( spl42_37
  <=> n10 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_37])]) ).

fof(f588,plain,
    n10 != n15,
    inference(cnf_transformation,[],[f5]) ).

fof(f921,plain,
    spl42_36,
    inference(avatar_split_clause,[],[f193,f918]) ).

fof(f918,plain,
    ( spl42_36
  <=> n14 = sum(n10,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_36])]) ).

fof(f193,plain,
    n14 = sum(n10,n4),
    inference(cnf_transformation,[],[f5]) ).

fof(f916,plain,
    spl42_35,
    inference(avatar_split_clause,[],[f232,f913]) ).

fof(f913,plain,
    ( spl42_35
  <=> n15 = sum(n15,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_35])]) ).

fof(f232,plain,
    n15 = sum(n15,n0),
    inference(cnf_transformation,[],[f5]) ).

fof(f911,plain,
    spl42_34,
    inference(avatar_split_clause,[],[f156,f908]) ).

fof(f908,plain,
    ( spl42_34
  <=> n10 = sum(n1,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_34])]) ).

fof(f156,plain,
    n10 = sum(n1,n9),
    inference(cnf_transformation,[],[f5]) ).

fof(f906,plain,
    spl42_33,
    inference(avatar_split_clause,[],[f327,f903]) ).

fof(f903,plain,
    ( spl42_33
  <=> n15 = sum(n5,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_33])]) ).

fof(f327,plain,
    n15 = sum(n5,n10),
    inference(cnf_transformation,[],[f5]) ).

fof(f901,plain,
    ~ spl42_32,
    inference(avatar_split_clause,[],[f649,f898]) ).

fof(f898,plain,
    ( spl42_32
  <=> n12 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_32])]) ).

fof(f649,plain,
    n12 != n18,
    inference(cnf_transformation,[],[f5]) ).

fof(f896,plain,
    spl42_31,
    inference(avatar_split_clause,[],[f293,f893]) ).

fof(f893,plain,
    ( spl42_31
  <=> n14 = sum(n0,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_31])]) ).

fof(f293,plain,
    n14 = sum(n0,n14),
    inference(cnf_transformation,[],[f5]) ).

fof(f891,plain,
    ~ spl42_30,
    inference(avatar_split_clause,[],[f703,f888]) ).

fof(f888,plain,
    ( spl42_30
  <=> n9 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_30])]) ).

fof(f703,plain,
    n9 != n10,
    inference(cnf_transformation,[],[f5]) ).

fof(f886,plain,
    spl42_29,
    inference(avatar_split_clause,[],[f522,f883]) ).

fof(f883,plain,
    ( spl42_29
  <=> n16 = sum(n16,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_29])]) ).

fof(f522,plain,
    n16 = sum(n16,n0),
    inference(cnf_transformation,[],[f5]) ).

fof(f881,plain,
    ~ spl42_28,
    inference(avatar_split_clause,[],[f534,f878]) ).

fof(f878,plain,
    ( spl42_28
  <=> n11 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_28])]) ).

fof(f534,plain,
    n11 != n18,
    inference(cnf_transformation,[],[f5]) ).

fof(f876,plain,
    spl42_27,
    inference(avatar_split_clause,[],[f623,f873]) ).

fof(f873,plain,
    ( spl42_27
  <=> n0 = sum(n8,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_27])]) ).

fof(f623,plain,
    n0 = sum(n8,n13),
    inference(cnf_transformation,[],[f5]) ).

fof(f871,plain,
    spl42_26,
    inference(avatar_split_clause,[],[f737,f868]) ).

fof(f868,plain,
    ( spl42_26
  <=> n18 = pred(n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_26])]) ).

fof(f737,plain,
    n18 = pred(n19),
    inference(cnf_transformation,[],[f5]) ).

fof(f866,plain,
    spl42_25,
    inference(avatar_split_clause,[],[f336,f863]) ).

fof(f863,plain,
    ( spl42_25
  <=> n15 = sum(n6,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_25])]) ).

fof(f336,plain,
    n15 = sum(n6,n9),
    inference(cnf_transformation,[],[f5]) ).

fof(f861,plain,
    spl42_24,
    inference(avatar_split_clause,[],[f731,f858]) ).

fof(f858,plain,
    ( spl42_24
  <=> n3 = sum(n16,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_24])]) ).

fof(f731,plain,
    n3 = sum(n16,n8),
    inference(cnf_transformation,[],[f5]) ).

fof(f856,plain,
    ~ spl42_23,
    inference(avatar_split_clause,[],[f80,f853]) ).

fof(f853,plain,
    ( spl42_23
  <=> n1 = n4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_23])]) ).

fof(f80,plain,
    n1 != n4,
    inference(cnf_transformation,[],[f5]) ).

fof(f851,plain,
    spl42_22,
    inference(avatar_split_clause,[],[f504,f848]) ).

fof(f848,plain,
    ( spl42_22
  <=> n11 = sum(n6,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_22])]) ).

fof(f504,plain,
    n11 = sum(n6,n5),
    inference(cnf_transformation,[],[f5]) ).

fof(f846,plain,
    spl42_21,
    inference(avatar_split_clause,[],[f637,f843]) ).

fof(f843,plain,
    ( spl42_21
  <=> n8 = sum(n19,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_21])]) ).

fof(f637,plain,
    n8 = sum(n19,n10),
    inference(cnf_transformation,[],[f5]) ).

fof(f841,plain,
    ~ spl42_20,
    inference(avatar_split_clause,[],[f672,f838]) ).

fof(f838,plain,
    ( spl42_20
  <=> n4 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_20])]) ).

fof(f672,plain,
    n4 != n11,
    inference(cnf_transformation,[],[f5]) ).

fof(f836,plain,
    spl42_19,
    inference(avatar_split_clause,[],[f717,f833]) ).

fof(f833,plain,
    ( spl42_19
  <=> n2 = sum(n17,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_19])]) ).

fof(f717,plain,
    n2 = sum(n17,n6),
    inference(cnf_transformation,[],[f5]) ).

fof(f831,plain,
    spl42_18,
    inference(avatar_split_clause,[],[f271,f828]) ).

fof(f828,plain,
    ( spl42_18
  <=> n4 = sum(n18,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_18])]) ).

fof(f271,plain,
    n4 = sum(n18,n7),
    inference(cnf_transformation,[],[f5]) ).

fof(f826,plain,
    spl42_17,
    inference(avatar_split_clause,[],[f381,f823]) ).

fof(f823,plain,
    ( spl42_17
  <=> n9 = sum(n12,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_17])]) ).

fof(f381,plain,
    n9 = sum(n12,n18),
    inference(cnf_transformation,[],[f5]) ).

fof(f821,plain,
    spl42_16,
    inference(avatar_split_clause,[],[f532,f818]) ).

fof(f818,plain,
    ( spl42_16
  <=> n7 = sum(n8,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_16])]) ).

fof(f532,plain,
    n7 = sum(n8,n20),
    inference(cnf_transformation,[],[f5]) ).

fof(f816,plain,
    spl42_15,
    inference(avatar_split_clause,[],[f604,f813]) ).

fof(f813,plain,
    ( spl42_15
  <=> n8 = sum(n15,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_15])]) ).

fof(f604,plain,
    n8 = sum(n15,n14),
    inference(cnf_transformation,[],[f5]) ).

fof(f811,plain,
    spl42_14,
    inference(avatar_split_clause,[],[f230,f808]) ).

fof(f808,plain,
    ( spl42_14
  <=> n5 = sum(n5,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_14])]) ).

fof(f230,plain,
    n5 = sum(n5,n0),
    inference(cnf_transformation,[],[f5]) ).

fof(f806,plain,
    ~ spl42_13,
    inference(avatar_split_clause,[],[f615,f803]) ).

fof(f803,plain,
    ( spl42_13
  <=> n8 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_13])]) ).

fof(f615,plain,
    n8 != n13,
    inference(cnf_transformation,[],[f5]) ).

fof(f801,plain,
    spl42_12,
    inference(avatar_split_clause,[],[f70,f798]) ).

fof(f798,plain,
    ( spl42_12
  <=> n6 = sum(n5,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_12])]) ).

fof(f70,plain,
    n6 = sum(n5,n1),
    inference(cnf_transformation,[],[f5]) ).

fof(f796,plain,
    spl42_11,
    inference(avatar_split_clause,[],[f435,f793]) ).

fof(f793,plain,
    ( spl42_11
  <=> n10 = sum(n10,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_11])]) ).

fof(f435,plain,
    n10 = sum(n10,n0),
    inference(cnf_transformation,[],[f5]) ).

fof(f791,plain,
    spl42_10,
    inference(avatar_split_clause,[],[f97,f788]) ).

fof(f788,plain,
    ( spl42_10
  <=> n11 = sum(n12,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_10])]) ).

fof(f97,plain,
    n11 = sum(n12,n20),
    inference(cnf_transformation,[],[f5]) ).

fof(f786,plain,
    ~ spl42_9,
    inference(avatar_split_clause,[],[f39,f783]) ).

fof(f783,plain,
    ( spl42_9
  <=> n4 = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_9])]) ).

fof(f39,plain,
    n4 != n7,
    inference(cnf_transformation,[],[f5]) ).

fof(f781,plain,
    spl42_8,
    inference(avatar_split_clause,[],[f286,f778]) ).

fof(f778,plain,
    ( spl42_8
  <=> n14 = sum(n16,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_8])]) ).

fof(f286,plain,
    n14 = sum(n16,n19),
    inference(cnf_transformation,[],[f5]) ).

fof(f776,plain,
    spl42_7,
    inference(avatar_split_clause,[],[f319,f773]) ).

fof(f773,plain,
    ( spl42_7
  <=> n8 = sum(n4,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_7])]) ).

fof(f319,plain,
    n8 = sum(n4,n4),
    inference(cnf_transformation,[],[f5]) ).

fof(f771,plain,
    spl42_6,
    inference(avatar_split_clause,[],[f55,f768]) ).

fof(f768,plain,
    ( spl42_6
  <=> n1 = sum(n4,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_6])]) ).

fof(f55,plain,
    n1 = sum(n4,n18),
    inference(cnf_transformation,[],[f5]) ).

fof(f766,plain,
    spl42_5,
    inference(avatar_split_clause,[],[f324,f763]) ).

fof(f763,plain,
    ( spl42_5
  <=> n17 = sum(n11,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_5])]) ).

fof(f324,plain,
    n17 = sum(n11,n6),
    inference(cnf_transformation,[],[f5]) ).

fof(f761,plain,
    ~ spl42_4,
    inference(avatar_split_clause,[],[f191,f758]) ).

fof(f758,plain,
    ( spl42_4
  <=> n17 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_4])]) ).

fof(f191,plain,
    n17 != n20,
    inference(cnf_transformation,[],[f5]) ).

fof(f756,plain,
    ~ spl42_3,
    inference(avatar_split_clause,[],[f162,f753]) ).

fof(f753,plain,
    ( spl42_3
  <=> n5 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_3])]) ).

fof(f162,plain,
    n5 != n16,
    inference(cnf_transformation,[],[f5]) ).

fof(f751,plain,
    ~ spl42_2,
    inference(avatar_split_clause,[],[f175,f748]) ).

fof(f748,plain,
    ( spl42_2
  <=> n2 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_2])]) ).

fof(f175,plain,
    n2 != n18,
    inference(cnf_transformation,[],[f5]) ).

fof(f746,plain,
    spl42_1,
    inference(avatar_split_clause,[],[f214,f743]) ).

fof(f743,plain,
    ( spl42_1
  <=> n18 = sum(n0,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl42_1])]) ).

fof(f214,plain,
    n18 = sum(n0,n18),
    inference(cnf_transformation,[],[f5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : NUM377+1.020 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n010.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 06:20:14 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.56  % (29919)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)
% 0.18/0.56  % (29921)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)
% 0.18/0.56  % (29941)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)
% 0.18/0.57  % (29927)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)
% 0.18/0.57  % (29938)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)
% 0.18/0.57  % (29925)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.57  % (29928)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.57  % (29933)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)
% 0.18/0.58  % (29925)Instruction limit reached!
% 0.18/0.58  % (29925)------------------------------
% 0.18/0.58  % (29925)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.58  % (29925)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.58  % (29925)Termination reason: Unknown
% 0.18/0.58  % (29925)Termination phase: Preprocessing 3
% 0.18/0.58  
% 0.18/0.58  % (29925)Memory used [KB]: 1407
% 0.18/0.58  % (29925)Time elapsed: 0.008 s
% 0.18/0.58  % (29925)Instructions burned: 8 (million)
% 0.18/0.58  % (29925)------------------------------
% 0.18/0.58  % (29925)------------------------------
% 0.18/0.58  % (29944)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)
% 0.18/0.58  % (29920)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)
% 0.18/0.58  % (29937)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)
% 0.18/0.58  % (29918)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)
% 1.62/0.59  % (29923)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)
% 1.62/0.59  % (29946)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.62/0.59  % (29922)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.62/0.59  % (29924)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)
% 1.62/0.59  % (29931)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.62/0.60  % (29932)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)
% 1.62/0.60  % (29929)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)
% 1.62/0.60  % (29926)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.62/0.60  % (29934)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)
% 1.62/0.60  % (29943)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.62/0.60  % (29947)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)
% 1.62/0.60  % (29936)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.62/0.60  % (29939)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.62/0.60  % (29940)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)
% 1.62/0.61  % (29930)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.78/0.61  % (29935)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.78/0.61  % (29926)Instruction limit reached!
% 1.78/0.61  % (29926)------------------------------
% 1.78/0.61  % (29926)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.78/0.61  % (29942)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.78/0.62  % (29926)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.78/0.62  % (29926)Termination reason: Unknown
% 1.78/0.62  % (29926)Termination phase: Preprocessing 3
% 1.78/0.62  
% 1.78/0.62  % (29926)Memory used [KB]: 1407
% 1.78/0.62  % (29926)Time elapsed: 0.004 s
% 1.78/0.62  % (29926)Instructions burned: 3 (million)
% 1.78/0.62  % (29926)------------------------------
% 1.78/0.62  % (29926)------------------------------
% 1.78/0.62  % (29945)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)
% 1.90/0.63  % (29927)Instruction limit reached!
% 1.90/0.63  % (29927)------------------------------
% 1.90/0.63  % (29927)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.90/0.63  % (29919)Instruction limit reached!
% 1.90/0.63  % (29919)------------------------------
% 1.90/0.63  % (29919)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.90/0.63  % (29919)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.90/0.63  % (29919)Termination reason: Unknown
% 1.90/0.63  % (29919)Termination phase: Saturation
% 1.90/0.63  
% 1.90/0.63  % (29919)Memory used [KB]: 6780
% 1.90/0.63  % (29919)Time elapsed: 0.029 s
% 1.90/0.63  % (29919)Instructions burned: 50 (million)
% 1.90/0.63  % (29919)------------------------------
% 1.90/0.63  % (29919)------------------------------
% 1.90/0.64  % (29927)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.90/0.64  % (29927)Termination reason: Unknown
% 1.90/0.64  % (29927)Termination phase: Saturation
% 1.90/0.64  
% 1.90/0.64  % (29927)Memory used [KB]: 2302
% 1.90/0.64  % (29927)Time elapsed: 0.177 s
% 1.90/0.64  % (29927)Instructions burned: 51 (million)
% 1.90/0.64  % (29927)------------------------------
% 1.90/0.64  % (29927)------------------------------
% 1.90/0.64  % (29920)Instruction limit reached!
% 1.90/0.64  % (29920)------------------------------
% 1.90/0.64  % (29920)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.90/0.64  % (29920)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.90/0.64  % (29920)Termination reason: Unknown
% 1.90/0.64  % (29920)Termination phase: Saturation
% 1.90/0.64  
% 1.90/0.64  % (29920)Memory used [KB]: 1918
% 1.90/0.64  % (29920)Time elapsed: 0.170 s
% 1.90/0.64  % (29920)Instructions burned: 38 (million)
% 1.90/0.64  % (29920)------------------------------
% 1.90/0.64  % (29920)------------------------------
% 1.90/0.66  % (29928)Instruction limit reached!
% 1.90/0.66  % (29928)------------------------------
% 1.90/0.66  % (29928)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.90/0.66  % (29928)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.90/0.66  % (29928)Termination reason: Unknown
% 1.90/0.66  % (29928)Termination phase: Saturation
% 1.90/0.66  
% 1.90/0.66  % (29928)Memory used [KB]: 6908
% 1.90/0.66  % (29928)Time elapsed: 0.210 s
% 1.90/0.66  % (29928)Instructions burned: 51 (million)
% 1.90/0.66  % (29928)------------------------------
% 1.90/0.66  % (29928)------------------------------
% 1.90/0.66  % (29921)Instruction limit reached!
% 1.90/0.66  % (29921)------------------------------
% 1.90/0.66  % (29921)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.90/0.66  % (29921)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.90/0.66  % (29921)Termination reason: Unknown
% 1.90/0.66  % (29921)Termination phase: Saturation
% 1.90/0.66  
% 1.90/0.66  % (29921)Memory used [KB]: 6908
% 1.90/0.66  % (29921)Time elapsed: 0.201 s
% 1.90/0.66  % (29921)Instructions burned: 52 (million)
% 1.90/0.66  % (29921)------------------------------
% 1.90/0.66  % (29921)------------------------------
% 1.90/0.67  % (29924)Instruction limit reached!
% 1.90/0.67  % (29924)------------------------------
% 1.90/0.67  % (29924)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.90/0.67  % (29924)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.90/0.67  % (29924)Termination reason: Unknown
% 1.90/0.67  % (29924)Termination phase: Finite model building preprocessing
% 1.90/0.67  
% 1.90/0.67  % (29924)Memory used [KB]: 3070
% 1.90/0.67  % (29924)Time elapsed: 0.023 s
% 1.90/0.67  % (29924)Instructions burned: 53 (million)
% 1.90/0.67  % (29924)------------------------------
% 1.90/0.67  % (29924)------------------------------
% 1.90/0.68  % (29958)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)
% 1.90/0.68  % (29933)Instruction limit reached!
% 1.90/0.68  % (29933)------------------------------
% 1.90/0.68  % (29933)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.90/0.68  % (29922)Instruction limit reached!
% 1.90/0.68  % (29922)------------------------------
% 1.90/0.68  % (29922)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.90/0.68  % (29922)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.90/0.68  % (29922)Termination reason: Unknown
% 1.90/0.68  % (29922)Termination phase: Saturation
% 1.90/0.68  
% 1.90/0.68  % (29922)Memory used [KB]: 6780
% 1.90/0.68  % (29922)Time elapsed: 0.026 s
% 1.90/0.68  % (29922)Instructions burned: 52 (million)
% 1.90/0.68  % (29922)------------------------------
% 1.90/0.68  % (29922)------------------------------
% 1.90/0.69  % (29935)Instruction limit reached!
% 1.90/0.69  % (29935)------------------------------
% 1.90/0.69  % (29935)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.90/0.69  % (29935)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.90/0.69  % (29935)Termination reason: Unknown
% 1.90/0.69  % (29935)Termination phase: Finite model building preprocessing
% 1.90/0.69  
% 1.90/0.69  % (29935)Memory used [KB]: 3198
% 1.90/0.69  % (29935)Time elapsed: 0.025 s
% 1.90/0.69  % (29935)Instructions burned: 59 (million)
% 1.90/0.69  % (29935)------------------------------
% 1.90/0.69  % (29935)------------------------------
% 1.90/0.69  % (29923)Instruction limit reached!
% 1.90/0.69  % (29923)------------------------------
% 1.90/0.69  % (29923)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.90/0.69  % (29923)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.90/0.69  % (29923)Termination reason: Unknown
% 1.90/0.69  % (29923)Termination phase: Saturation
% 1.90/0.69  
% 1.90/0.69  % (29923)Memory used [KB]: 6908
% 1.90/0.69  % (29923)Time elapsed: 0.208 s
% 1.90/0.69  % (29923)Instructions burned: 49 (million)
% 1.90/0.69  % (29923)------------------------------
% 1.90/0.69  % (29923)------------------------------
% 1.90/0.70  % (29933)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.90/0.70  % (29933)Termination reason: Unknown
% 1.90/0.70  % (29933)Termination phase: Saturation
% 1.90/0.70  
% 1.90/0.70  % (29933)Memory used [KB]: 2430
% 1.90/0.70  % (29933)Time elapsed: 0.190 s
% 1.90/0.70  % (29933)Instructions burned: 76 (million)
% 1.90/0.70  % (29933)------------------------------
% 1.90/0.70  % (29933)------------------------------
% 1.90/0.71  % (29944)Instruction limit reached!
% 1.90/0.71  % (29944)------------------------------
% 1.90/0.71  % (29944)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.90/0.71  % (29944)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.90/0.71  % (29944)Termination reason: Unknown
% 1.90/0.71  % (29944)Termination phase: Saturation
% 1.90/0.71  
% 1.90/0.71  % (29944)Memory used [KB]: 7803
% 1.90/0.71  % (29944)Time elapsed: 0.034 s
% 1.90/0.71  % (29944)Instructions burned: 68 (million)
% 1.90/0.71  % (29944)------------------------------
% 1.90/0.71  % (29944)------------------------------
% 1.90/0.72  % (29932)Instruction limit reached!
% 1.90/0.72  % (29932)------------------------------
% 1.90/0.72  % (29932)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.90/0.72  % (29932)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.90/0.72  % (29932)Termination reason: Unknown
% 1.90/0.72  % (29932)Termination phase: Saturation
% 1.90/0.72  
% 1.90/0.72  % (29932)Memory used [KB]: 7803
% 1.90/0.72  % (29932)Time elapsed: 0.035 s
% 1.90/0.72  % (29932)Instructions burned: 68 (million)
% 1.90/0.72  % (29932)------------------------------
% 1.90/0.72  % (29932)------------------------------
% 2.56/0.72  % (29937)Instruction limit reached!
% 2.56/0.72  % (29937)------------------------------
% 2.56/0.72  % (29937)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.56/0.73  % (29937)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.56/0.73  % (29937)Termination reason: Unknown
% 2.56/0.73  % (29937)Termination phase: Saturation
% 2.56/0.73  
% 2.56/0.73  % (29937)Memory used [KB]: 2302
% 2.56/0.73  % (29937)Time elapsed: 0.272 s
% 2.56/0.73  % (29937)Instructions burned: 101 (million)
% 2.56/0.73  % (29937)------------------------------
% 2.56/0.73  % (29937)------------------------------
% 2.56/0.73  % (29976)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)
% 2.56/0.73  % (29931)Instruction limit reached!
% 2.56/0.73  % (29931)------------------------------
% 2.56/0.73  % (29931)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.56/0.74  % (29931)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.56/0.74  % (29931)Termination reason: Unknown
% 2.56/0.74  % (29931)Termination phase: Saturation
% 2.56/0.74  
% 2.56/0.74  % (29931)Memory used [KB]: 7803
% 2.56/0.74  % (29931)Time elapsed: 0.272 s
% 2.56/0.74  % (29931)Instructions burned: 99 (million)
% 2.56/0.74  % (29931)------------------------------
% 2.56/0.74  % (29931)------------------------------
% 2.56/0.76  % (29936)Instruction limit reached!
% 2.56/0.76  % (29936)------------------------------
% 2.56/0.76  % (29936)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.56/0.76  % (29936)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.56/0.76  % (29936)Termination reason: Unknown
% 2.56/0.76  % (29936)Termination phase: Saturation
% 2.56/0.76  
% 2.56/0.76  % (29936)Memory used [KB]: 7291
% 2.56/0.76  % (29936)Time elapsed: 0.052 s
% 2.56/0.76  % (29936)Instructions burned: 100 (million)
% 2.56/0.76  % (29936)------------------------------
% 2.56/0.76  % (29936)------------------------------
% 2.56/0.76  % (29986)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 (2997ds/90Mi)
% 2.56/0.77  % (29934)Instruction limit reached!
% 2.56/0.77  % (29934)------------------------------
% 2.56/0.77  % (29934)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.56/0.77  % (29934)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.56/0.77  % (29934)Termination reason: Unknown
% 2.56/0.77  % (29934)Termination phase: Saturation
% 2.56/0.77  
% 2.56/0.77  % (29934)Memory used [KB]: 7419
% 2.56/0.77  % (29934)Time elapsed: 0.334 s
% 2.56/0.77  % (29934)Instructions burned: 99 (million)
% 2.56/0.77  % (29934)------------------------------
% 2.56/0.77  % (29934)------------------------------
% 2.56/0.77  % (29995)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/934Mi)
% 2.56/0.78  % (29929)Instruction limit reached!
% 2.56/0.78  % (29929)------------------------------
% 2.56/0.78  % (29929)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.56/0.78  % (29929)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.56/0.78  % (29929)Termination reason: Unknown
% 2.56/0.78  % (29929)Termination phase: Saturation
% 2.56/0.78  
% 2.56/0.78  % (29929)Memory used [KB]: 7803
% 2.56/0.78  % (29929)Time elapsed: 0.319 s
% 2.56/0.78  % (29929)Instructions burned: 102 (million)
% 2.56/0.78  % (29929)------------------------------
% 2.56/0.78  % (29929)------------------------------
% 2.56/0.78  % (29930)Instruction limit reached!
% 2.56/0.78  % (29930)------------------------------
% 2.56/0.78  % (29930)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.56/0.78  % (29930)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.56/0.78  % (29930)Termination reason: Unknown
% 2.56/0.78  % (29930)Termination phase: Saturation
% 2.56/0.78  
% 2.56/0.78  % (29930)Memory used [KB]: 7547
% 2.56/0.78  % (29930)Time elapsed: 0.319 s
% 2.56/0.78  % (29930)Instructions burned: 101 (million)
% 2.56/0.78  % (29930)------------------------------
% 2.56/0.78  % (29930)------------------------------
% 2.56/0.78  % (29998)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)
% 2.56/0.78  % (29999)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)
% 2.56/0.78  % (29988)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.56/0.78  TRYING [21]
% 2.86/0.81  % (30006)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)
% 2.86/0.81  WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.86/0.82  % (30012)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)
% 2.86/0.82  % (29939)Instruction limit reached!
% 2.86/0.82  % (29939)------------------------------
% 2.86/0.82  % (29939)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.86/0.82  % (29939)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.86/0.82  % (29939)Termination reason: Unknown
% 2.86/0.82  % (29939)Termination phase: Saturation
% 2.86/0.82  
% 2.86/0.82  % (29939)Memory used [KB]: 7803
% 2.86/0.82  % (29939)Time elapsed: 0.068 s
% 2.86/0.82  % (29939)Instructions burned: 140 (million)
% 2.86/0.82  % (29939)------------------------------
% 2.86/0.82  % (29939)------------------------------
% 2.86/0.82  % (30020)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)
% 2.86/0.83  % (30014)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)
% 2.86/0.83  % (30015)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)
% 2.86/0.84  % (30027)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 2.86/0.85  % (29945)Instruction limit reached!
% 2.86/0.85  % (29945)------------------------------
% 2.86/0.85  % (29945)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.86/0.85  % (29945)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.86/0.85  % (29945)Termination reason: Unknown
% 2.86/0.85  % (29945)Termination phase: Saturation
% 2.86/0.85  
% 2.86/0.85  % (29945)Memory used [KB]: 2558
% 2.86/0.85  % (29945)Time elapsed: 0.411 s
% 2.86/0.85  % (29945)Instructions burned: 178 (million)
% 2.86/0.85  % (29945)------------------------------
% 2.86/0.85  % (29945)------------------------------
% 2.86/0.85  % (30029)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)
% 2.86/0.86  % (30035)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)
% 2.86/0.87  % (29986)Instruction limit reached!
% 2.86/0.87  % (29986)------------------------------
% 2.86/0.87  % (29986)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.86/0.87  % (30048)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 3.07/0.88  % (29938)Instruction limit reached!
% 3.07/0.88  % (29938)------------------------------
% 3.07/0.88  % (29938)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.07/0.88  % (29938)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.07/0.88  % (29938)Termination reason: Unknown
% 3.07/0.88  % (29938)Termination phase: Saturation
% 3.07/0.88  
% 3.07/0.88  % (29938)Memory used [KB]: 8059
% 3.07/0.88  % (29938)Time elapsed: 0.089 s
% 3.07/0.88  % (29938)Instructions burned: 177 (million)
% 3.07/0.88  % (29938)------------------------------
% 3.07/0.88  % (29938)------------------------------
% 3.07/0.88  % (29986)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.07/0.88  % (29986)Termination reason: Unknown
% 3.07/0.88  % (29986)Termination phase: Saturation
% 3.07/0.88  
% 3.07/0.88  % (29986)Memory used [KB]: 7419
% 3.07/0.88  % (29986)Time elapsed: 0.161 s
% 3.07/0.88  % (29986)Instructions burned: 91 (million)
% 3.07/0.88  % (29986)------------------------------
% 3.07/0.88  % (29986)------------------------------
% 3.07/0.89  % (30056)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)
% 3.21/0.91  % (30073)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)
% 3.21/0.91  % (30075)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)
% 3.21/0.91  % (30074)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)
% 3.21/0.92  % (30006)Instruction limit reached!
% 3.21/0.92  % (30006)------------------------------
% 3.21/0.92  % (30006)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.21/0.92  % (30006)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.21/0.92  % (30006)Termination reason: Unknown
% 3.21/0.92  % (30006)Termination phase: Saturation
% 3.21/0.92  
% 3.21/0.92  % (30006)Memory used [KB]: 7931
% 3.21/0.92  % (30006)Time elapsed: 0.033 s
% 3.21/0.92  % (30006)Instructions burned: 69 (million)
% 3.21/0.92  % (30006)------------------------------
% 3.21/0.92  % (30006)------------------------------
% 3.31/0.95  % (30101)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2891Mi)
% 3.31/0.96  % (30117)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4585Mi)
% 3.31/0.97  % (30015)Instruction limit reached!
% 3.31/0.97  % (30015)------------------------------
% 3.31/0.97  % (30015)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.31/0.97  % (30015)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.31/0.97  % (30015)Termination reason: Unknown
% 3.31/0.97  % (30015)Termination phase: Saturation
% 3.31/0.97  
% 3.31/0.97  % (30015)Memory used [KB]: 7419
% 3.31/0.97  % (30015)Time elapsed: 0.245 s
% 3.31/0.97  % (30015)Instructions burned: 91 (million)
% 3.31/0.97  % (30015)------------------------------
% 3.31/0.97  % (30015)------------------------------
% 3.31/0.99  % (29976)Instruction limit reached!
% 3.31/0.99  % (29976)------------------------------
% 3.31/0.99  % (29976)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.31/0.99  % (29976)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.31/0.99  % (29976)Termination reason: Unknown
% 3.31/0.99  % (29976)Termination phase: Saturation
% 3.31/0.99  
% 3.31/0.99  % (29976)Memory used [KB]: 2430
% 3.31/0.99  % (29976)Time elapsed: 0.299 s
% 3.31/0.99  % (29976)Instructions burned: 213 (million)
% 3.31/0.99  % (29976)------------------------------
% 3.31/0.99  % (29976)------------------------------
% 3.31/1.00  % (30131)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)
% 3.31/1.02  % (30073)Instruction limit reached!
% 3.31/1.02  % (30073)------------------------------
% 3.31/1.02  % (30073)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.31/1.02  % (30073)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.31/1.02  % (30073)Termination reason: Unknown
% 3.31/1.02  % (30073)Termination phase: Saturation
% 3.31/1.02  
% 3.31/1.02  % (30073)Memory used [KB]: 7803
% 3.31/1.02  % (30073)Time elapsed: 0.032 s
% 3.31/1.02  % (30073)Instructions burned: 69 (million)
% 3.31/1.02  % (30073)------------------------------
% 3.31/1.02  % (30073)------------------------------
% 3.67/1.02  % (30127)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)
% 3.67/1.06  % (30136)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/8004Mi)
% 3.67/1.08  % (30151)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)
% 3.88/1.11  % (29947)Instruction limit reached!
% 3.88/1.11  % (29947)------------------------------
% 3.88/1.11  % (29947)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.88/1.11  % (29947)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.88/1.11  % (29947)Termination reason: Unknown
% 3.88/1.11  % (29947)Termination phase: Saturation
% 3.88/1.11  
% 3.88/1.11  % (29947)Memory used [KB]: 9722
% 3.88/1.11  % (29947)Time elapsed: 0.185 s
% 3.88/1.11  % (29947)Instructions burned: 357 (million)
% 3.88/1.11  % (29947)------------------------------
% 3.88/1.11  % (29947)------------------------------
% 3.88/1.14  % (30155)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)
% 3.88/1.16  % (30164)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 (2993ds/9902Mi)
% 6.26/1.18  % (30127)Instruction limit reached!
% 6.26/1.18  % (30127)------------------------------
% 6.26/1.18  % (30127)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.26/1.18  % (30127)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.26/1.18  % (30127)Termination reason: Unknown
% 6.26/1.18  % (30127)Termination phase: Saturation
% 6.26/1.18  
% 6.26/1.18  % (30127)Memory used [KB]: 7419
% 6.26/1.18  % (30127)Time elapsed: 0.268 s
% 6.26/1.18  % (30127)Instructions burned: 90 (million)
% 6.26/1.18  % (30127)------------------------------
% 6.26/1.18  % (30127)------------------------------
% 6.65/1.23  % (29941)Instruction limit reached!
% 6.65/1.23  % (29941)------------------------------
% 6.65/1.23  % (29941)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.65/1.24  % (29941)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.65/1.24  % (29941)Termination reason: Unknown
% 6.65/1.24  % (29941)Termination phase: Saturation
% 6.65/1.24  
% 6.65/1.24  % (29941)Memory used [KB]: 9978
% 6.65/1.24  % (29941)Time elapsed: 0.250 s
% 6.65/1.24  % (29941)Instructions burned: 467 (million)
% 6.65/1.24  % (29941)------------------------------
% 6.65/1.24  % (29941)------------------------------
% 6.65/1.24  % (30029)First to succeed.
% 6.65/1.24  % (29946)Instruction limit reached!
% 6.65/1.24  % (29946)------------------------------
% 6.65/1.24  % (29946)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.65/1.24  % (29946)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.65/1.24  % (29946)Termination reason: Unknown
% 6.65/1.24  % (29946)Termination phase: Saturation
% 6.65/1.24  
% 6.65/1.24  % (29946)Memory used [KB]: 9722
% 6.65/1.24  % (29946)Time elapsed: 0.211 s
% 6.65/1.24  % (29946)Instructions burned: 439 (million)
% 6.65/1.24  % (29946)------------------------------
% 6.65/1.24  % (29946)------------------------------
% 6.65/1.26  % (30207)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 (2992ds/1824Mi)
% 6.65/1.30  % (29958)Instruction limit reached!
% 6.65/1.30  % (29958)------------------------------
% 6.65/1.30  % (29958)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.65/1.30  % (29958)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.65/1.30  % (29958)Termination reason: Unknown
% 6.65/1.30  % (29958)Termination phase: Saturation
% 6.65/1.30  
% 6.65/1.30  % (29958)Memory used [KB]: 9722
% 6.65/1.30  % (29958)Time elapsed: 0.679 s
% 6.65/1.30  % (29958)Instructions burned: 390 (million)
% 6.65/1.30  % (29958)------------------------------
% 6.65/1.30  % (29958)------------------------------
% 7.29/1.32  % (29940)Instruction limit reached!
% 7.29/1.32  % (29940)------------------------------
% 7.29/1.32  % (29940)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.29/1.32  % (29940)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.29/1.32  % (29940)Termination reason: Unknown
% 7.29/1.32  % (29940)Termination phase: Saturation
% 7.29/1.32  
% 7.29/1.32  % (29940)Memory used [KB]: 4477
% 7.29/1.32  % (29940)Time elapsed: 0.883 s
% 7.29/1.32  % (29940)Instructions burned: 498 (million)
% 7.29/1.32  % (29940)------------------------------
% 7.29/1.32  % (29940)------------------------------
% 7.29/1.33  % (30214)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9989Mi)
% 7.29/1.34  % (29942)Instruction limit reached!
% 7.29/1.34  % (29942)------------------------------
% 7.29/1.34  % (29942)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.29/1.35  % (30074)Also succeeded, but the first one will report.
% 7.29/1.35  % (30029)Refutation found. Thanks to Tanya!
% 7.29/1.35  % SZS status Unsatisfiable for theBenchmark
% 7.29/1.35  % SZS output start Proof for theBenchmark
% See solution above
% 7.29/1.36  % (30029)------------------------------
% 7.29/1.36  % (30029)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.29/1.36  % (30029)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.29/1.36  % (30029)Termination reason: Refutation
% 7.29/1.36  
% 7.29/1.36  % (30029)Memory used [KB]: 4093
% 7.29/1.36  % (30029)Time elapsed: 0.160 s
% 7.29/1.36  % (30029)Instructions burned: 322 (million)
% 7.29/1.36  % (30029)------------------------------
% 7.29/1.36  % (30029)------------------------------
% 7.29/1.36  % (29917)Success in time 1.016 s
%------------------------------------------------------------------------------