%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : NUM378+1.020.015 : 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 : n021.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 18:04:54 EDT 2022

% Result   : Unsatisfiable 84.06s 11.06s
% Output   : Refutation 84.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :  831
% Syntax   : Number of formulae    : 2407 (1567 unt;   0 def)
%            Number of atoms       : 8291 (6632 equ)
%            Maximal formula atoms : 1658 (   3 avg)
%            Number of connectives : 7596 (1712   ~; 344   |;4710   &)
%                                         ( 829 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  879 (   3 avg)
%            Maximal term depth    :   22 (   5 avg)
%            Number of predicates  :  831 ( 829 usr; 830 prp; 0-2 aty)
%            Number of functors    :  116 ( 116 usr; 113 con; 0-2 aty)
%            Number of variables   :  368 (   0   !; 368   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4894,plain,
    $false,
    inference(avatar_smt_refutation,[],[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,f1391,f1396,f1401,f1406,f1411,f1416,f1421,f1426,f1431,f1436,f1441,f1446,f1451,f1456,f1461,f1466,f1471,f1476,f1481,f1486,f1491,f1496,f1501,f1506,f1511,f1516,f1521,f1526,f1531,f1536,f1541,f1546,f1551,f1556,f1561,f1566,f1571,f1576,f1581,f1586,f1591,f1596,f1601,f1606,f1611,f1616,f1621,f1626,f1631,f1636,f1641,f1646,f1651,f1656,f1661,f1666,f1671,f1676,f1681,f1686,f1691,f1696,f1701,f1706,f1711,f1716,f1721,f1726,f1731,f1736,f1741,f1746,f1751,f1756,f1761,f1766,f1771,f1776,f1781,f1786,f1791,f1796,f1801,f1806,f1811,f1816,f1821,f1826,f1831,f1836,f1841,f1846,f1851,f1856,f1861,f1866,f1871,f1876,f1881,f1886,f1891,f1896,f1901,f1906,f1911,f1916,f1921,f1926,f1931,f1936,f1941,f1946,f1951,f1956,f1961,f1966,f1971,f1976,f1981,f1986,f1991,f1996,f2001,f2006,f2011,f2016,f2021,f2026,f2031,f2036,f2041,f2046,f2051,f2056,f2061,f2066,f2071,f2156,f2161,f2166,f2171,f2176,f2181,f2186,f2191,f2196,f2201,f2206,f2211,f2216,f2221,f2226,f2231,f2236,f2241,f2246,f2251,f2256,f2261,f2266,f2271,f2276,f2281,f2286,f2291,f2296,f2301,f2306,f2311,f2316,f2321,f2326,f2331,f2336,f2341,f2346,f2351,f2356,f2361,f2366,f2371,f2376,f2381,f2386,f2391,f2396,f2401,f2406,f2411,f2416,f2421,f2426,f2431,f2436,f2441,f2446,f2451,f2456,f2461,f2466,f2471,f2476,f2481,f2486,f2491,f2496,f2501,f2506,f2511,f2516,f2521,f2526,f2531,f2536,f2541,f2546,f2551,f2556,f2561,f2566,f2571,f2576,f2581,f2586,f2591,f2596,f2601,f2606,f2611,f2616,f2621,f2626,f2631,f2636,f2641,f2646,f2651,f2656,f2661,f2666,f2671,f2676,f2681,f2686,f2691,f2696,f2701,f2706,f2711,f2716,f2721,f2726,f2731,f2736,f2741,f2746,f2751,f2756,f2761,f2766,f2771,f2776,f2781,f2786,f2791,f2796,f2801,f2806,f2811,f2816,f2821,f2826,f2831,f2836,f2841,f2846,f2851,f2856,f2861,f2866,f2871,f2876,f2881,f2886,f2891,f2896,f2901,f2906,f2911,f2916,f2921,f2926,f2931,f2936,f2941,f2946,f2951,f2956,f2961,f2966,f2971,f2976,f2981,f2986,f2991,f2996,f3001,f3006,f3011,f3016,f3021,f3026,f3031,f3036,f3041,f3046,f3051,f3056,f3061,f3066,f3071,f3076,f3081,f3086,f3091,f3096,f3101,f3106,f3111,f3116,f3121,f3126,f3131,f3136,f3141,f3146,f3151,f3156,f3161,f3166,f3171,f3176,f3181,f3186,f3191,f3196,f3201,f3206,f3211,f3216,f3221,f3226,f3231,f3236,f3241,f3246,f3251,f3256,f3261,f3266,f3271,f3276,f3281,f3286,f3291,f3296,f3301,f3306,f3311,f3316,f3321,f3326,f3331,f3336,f3341,f3346,f3351,f3356,f3361,f3366,f3371,f3376,f3381,f3386,f3391,f3396,f3401,f3406,f3411,f3416,f3421,f3426,f3431,f3436,f3441,f3446,f3451,f3456,f3461,f3466,f3471,f3476,f3481,f3486,f3491,f3496,f3501,f3506,f3511,f3516,f3521,f3526,f3531,f3536,f3541,f3546,f3551,f3556,f3561,f3566,f3571,f3576,f3581,f3586,f3591,f3596,f3601,f3606,f3611,f3616,f3621,f3626,f3631,f3636,f3641,f3646,f3651,f3656,f3661,f3666,f3671,f3676,f3681,f3686,f3691,f3696,f3701,f3706,f3711,f3716,f3721,f3726,f3731,f3736,f3741,f3746,f3751,f3756,f3761,f3766,f3771,f3776,f3781,f3786,f3791,f3796,f3801,f3806,f3811,f3816,f3821,f3826,f3831,f3836,f3841,f3846,f3851,f3856,f3861,f3866,f3871,f3876,f3881,f3886,f3891,f3896,f3901,f3906,f3911,f3916,f3921,f3926,f3931,f3936,f3941,f3946,f3951,f3956,f3961,f3966,f3971,f3976,f3981,f3986,f3991,f3996,f4001,f4006,f4011,f4016,f4021,f4026,f4031,f4036,f4041,f4046,f4051,f4056,f4061,f4066,f4071,f4076,f4081,f4086,f4091,f4096,f4101,f4106,f4111,f4116,f4121,f4126,f4131,f4136,f4141,f4146,f4151,f4156,f4161,f4166,f4171,f4176,f4181,f4186,f4191,f4196,f4201,f4206,f4211,f4216,f4221,f4226,f4231,f4236,f4241,f4246,f4251,f4256,f4261,f4266,f4271,f4276,f4281,f4286,f4291,f4296,f4301,f4306,f4311,f4316,f4321,f4326,f4331,f4336,f4341,f4346,f4351,f4356,f4361,f4366,f4371,f4376,f4381,f4386,f4391,f4408,f4413,f4418,f4423,f4428,f4433,f4438,f4443,f4448,f4453,f4458,f4463,f4468,f4473,f4478,f4483,f4488,f4493,f4498,f4503,f4508,f4513,f4518,f4523,f4528,f4533,f4538,f4543,f4548,f4553,f4558,f4563,f4568,f4573,f4578,f4583,f4588,f4593,f4598,f4603,f4608,f4613,f4618,f4623,f4628,f4633,f4638,f4643,f4648,f4653,f4658,f4663,f4668,f4673,f4678,f4683,f4688,f4693,f4698,f4703,f4708,f4713,f4718,f4803,f4808,f4813,f4818,f4823,f4828,f4833,f4838,f4843,f4848,f4853,f4858,f4863,f4868,f4873,f4878,f4883,f4888,f4893]) ).

fof(f4893,plain,
    spl92_829,
    inference(avatar_split_clause,[],[f373,f4890]) ).

fof(f4890,plain,
    ( spl92_829
  <=> n2 = sum(n7,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_829])]) ).

fof(f373,plain,
    n2 = sum(n7,n16),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,plain,
    ( n13 = sum(n8,n5)
    & succ(n15) = n16
    & n19 = pred(n20)
    & n17 = sum(n7,n10)
    & n17 = sum(n15,n2)
    & n16 = pred(n17)
    & n20 = sum(n16,n4)
    & n11 = sum(n13,n19)
    & n12 = sum(n4,n8)
    & sK50 = sum(sum(pred(sK54),succ(sK58)),sum(pred(sK58),succ(sK54)))
    & n16 = sum(n0,n16)
    & n16 = sum(n18,n19)
    & n7 = sum(n1,n6)
    & sK79 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK58)))))))))))))))))))))
    & n5 != n6
    & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK8))))))))))))))))))))) = sK80
    & sK7 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK24)))))))))))))))))))))
    & n16 != n17
    & n1 != n2
    & succ(n1) = n2
    & n1 = sum(n5,n17)
    & n6 = sum(n18,n9)
    & n14 = sum(n16,n19)
    & n7 = sum(n18,n10)
    & n17 = sum(n14,n3)
    & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK36))))))))))))))))))))) = sK71
    & n18 = sum(n14,n4)
    & n0 != n10
    & n19 = sum(n13,n6)
    & succ(n12) = n13
    & n1 = sum(n4,n18)
    & n2 != n20
    & sK78 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK64)))))))))))))))))))))
    & n6 = sum(n7,n20)
    & n17 = sum(n20,n18)
    & n0 != n7
    & sK37 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK84)))))))))))))))))))))
    & n0 = sum(n4,n17)
    & n0 = sum(n5,n16)
    & n2 != n18
    & n10 = sum(n5,n5)
    & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK1))))))))))))))))))))) = sK27
    & n5 != n13
    & n1 != n4
    & n6 = sum(n20,n7)
    & succ(n10) = n11
    & n7 != n17
    & n2 = sum(n8,n15)
    & n1 = sum(n18,n4)
    & n11 = pred(n12)
    & n18 = sum(n17,n1)
    & sK67 = sum(sum(pred(sK50),succ(sK45)),sum(pred(sK45),succ(sK50)))
    & n9 = sum(n3,n6)
    & n9 != n14
    & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK76))))))))))))))))))))) = sK34
    & n3 != n20
    & n1 != n6
    & n9 != n13
    & n6 = sum(n14,n13)
    & n15 = sum(n18,n18)
    & n9 = sum(n10,n20)
    & n3 = sum(n2,n1)
    & n13 = sum(n7,n6)
    & n0 != n19
    & n13 != n14
    & n12 = sum(n8,n4)
    & n8 = sum(n12,n17)
    & n13 = sum(n6,n7)
    & n10 = sum(n4,n6)
    & n8 != n17
    & n12 = sum(n5,n7)
    & n10 = pred(n11)
    & n16 = sum(n19,n18)
    & n16 != n18
    & n8 = sum(n1,n7)
    & sK11 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK38)))))))))))))))))))))
    & n20 = sum(n5,n15)
    & n5 = sum(n1,n4)
    & n0 != n4
    & n3 != n10
    & n5 != n20
    & sK49 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK91)))))))))))))))))))))
    & sK41 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK21)))))))))))))))))))))
    & n0 != n17
    & n7 != n20
    & n4 = sum(n6,n19)
    & n7 = sum(n14,n14)
    & n0 = sum(n0,n0)
    & n6 = pred(n7)
    & n11 != n19
    & n3 = sum(n12,n12)
    & n0 = sum(n20,n1)
    & n10 = sum(n8,n2)
    & sK14 = sum(pred(sK4),sum(succ(sK90),sum(pred(sK2),succ(sK5))))
    & n16 = sum(n4,n12)
    & n13 != n16
    & n10 = sum(n18,n13)
    & sum(pred(sK52),sum(succ(sK23),sum(pred(sK41),succ(sK69)))) = sK85
    & n10 != n19
    & n9 = sum(n17,n13)
    & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK54))))))))))))))))))))) = sK53
    & n4 != n19
    & n11 != n20
    & n14 != n15
    & n8 = sum(n14,n15)
    & n7 = sum(n8,n20)
    & n10 = sum(n10,n0)
    & n4 = sum(n3,n1)
    & succ(n3) = n4
    & n0 != n16
    & n19 = sum(n5,n14)
    & n14 = sum(n2,n12)
    & n8 = sum(n6,n2)
    & n9 = sum(n16,n14)
    & n3 != n12
    & n2 = sum(n2,n0)
    & n4 = sum(n13,n12)
    & n5 != n15
    & n9 = sum(n1,n8)
    & sK72 = sum(sum(pred(sK18),succ(sK25)),sum(pred(sK25),succ(sK18)))
    & n12 = sum(n18,n15)
    & succ(n16) = n17
    & n14 != n17
    & n18 = sum(n8,n10)
    & n10 = sum(n15,n16)
    & n11 = sum(n11,n0)
    & sum(pred(sK22),sum(succ(sK29),sum(pred(sK19),succ(sK66)))) = sK8
    & n2 != n5
    & n0 != n9
    & n10 = sum(n16,n15)
    & n10 = sum(n11,n20)
    & n1 = sum(n14,n8)
    & n6 != n17
    & n15 != n19
    & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK50))))))))))))))))))))) = sK68
    & n6 = sum(n12,n15)
    & n6 = sum(n16,n11)
    & sK21 = sum(pred(sK61),sum(succ(sK34),sum(pred(sK49),succ(sK32))))
    & n20 = sum(n20,n0)
    & sK42 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK3)))))))))))))))))))))
    & sum(pred(sK40),sum(succ(sK11),sum(pred(sK57),succ(sK80)))) = sK91
    & n8 = sum(n3,n5)
    & n17 = sum(n4,n13)
    & n8 != n11
    & n1 != n12
    & n4 = sum(n16,n9)
    & n4 != n8
    & n3 = sum(n11,n13)
    & n9 = sum(n4,n5)
    & n15 != n17
    & n1 = sum(n15,n7)
    & n14 = sum(n17,n18)
    & n5 = sum(n14,n12)
    & n17 = sum(n19,n19)
    & n9 = sum(n18,n12)
    & sum(pred(sK75),sum(succ(sK7),sum(pred(sK48),succ(sK70)))) = sK25
    & n14 = sum(n12,n2)
    & sK38 = sum(sum(pred(sK15),succ(sK6)),sum(pred(sK6),succ(sK15)))
    & sum(sum(pred(sK67),succ(sK13)),sum(pred(sK13),succ(sK67))) = sK20
    & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK1))))))))))))))))))))) = sK63
    & succ(n13) = n14
    & sK64 = sum(sum(pred(sK36),succ(sK14)),sum(pred(sK14),succ(sK36)))
    & n13 = sum(n2,n11)
    & n16 = sum(n10,n6)
    & n1 = sum(n16,n6)
    & n8 != n16
    & n9 != n10
    & n15 = sum(n20,n16)
    & n1 != n16
    & n8 != n20
    & sK83 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK50)))))))))))))))))))))
    & n11 = sum(n8,n3)
    & sK48 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK51)))))))))))))))))))))
    & n12 = pred(n13)
    & n12 = sum(n6,n6)
    & n12 = sum(n20,n13)
    & n6 != n9
    & n11 != n13
    & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK85))))))))))))))))))))) = sK82
    & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK20))))))))))))))))))))) = sK90
    & n8 = sum(n11,n18)
    & n17 != n18
    & n4 = sum(n2,n2)
    & n14 = sum(n9,n5)
    & n17 = sum(n3,n14)
    & n5 != n11
    & n10 = sum(n17,n14)
    & n16 = sum(n16,n0)
    & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK21))))))))))))))))))))) = sK69
    & n1 = sum(n2,n20)
    & n9 = sum(n8,n1)
    & n16 = sum(n13,n3)
    & n4 = sum(n15,n10)
    & n14 = sum(n4,n10)
    & n3 = sum(n17,n7)
    & n8 != n18
    & n10 = sum(n14,n17)
    & n3 = sum(n3,n0)
    & n9 = sum(n15,n15)
    & n20 = sum(n0,n20)
    & n6 != n12
    & succ(n5) = n6
    & n5 = sum(n19,n7)
    & n8 = sum(n7,n1)
    & n2 = sum(n4,n19)
    & n6 = sum(n2,n4)
    & n3 = sum(n13,n11)
    & n0 != n18
    & n7 = sum(n9,n19)
    & n15 != n16
    & sK40 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK38)))))))))))))))))))))
    & n3 = sum(n9,n15)
    & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK51))))))))))))))))))))) = sK70
    & sum(sum(pred(sK64),succ(sK84)),sum(pred(sK84),succ(sK64))) = sK47
    & n7 = sum(n7,n0)
    & n2 != n6
    & n18 = sum(n20,n19)
    & n0 != n15
    & n3 != n18
    & n2 = sum(n5,n18)
    & n4 = sum(n4,n0)
    & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK67))))))))))))))))))))) = sK43
    & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK6))))))))))))))))))))) = sK66
    & n1 = sum(n3,n19)
    & succ(n9) = n10
    & n5 = sum(n12,n14)
    & sK86 = sum(pred(sK31),sum(succ(sK9),sum(pred(sK46),succ(sK39))))
    & n14 != n19
    & n13 = sum(n16,n18)
    & n5 != n18
    & n4 != n20
    & n16 = sum(n8,n8)
    & n4 != n5
    & n3 != n16
    & n0 = sum(n1,n20)
    & n10 != n11
    & n15 = pred(n16)
    & n1 = sum(n10,n12)
    & n7 != n15
    & n10 != n13
    & n13 = sum(n19,n15)
    & n9 = sum(n14,n16)
    & n18 = sum(n0,n18)
    & n9 = sum(n12,n18)
    & n18 = sum(n9,n9)
    & n14 = sum(n8,n6)
    & n15 = sum(n19,n17)
    & sum(sum(pred(sK62),succ(sK1)),sum(pred(sK1),succ(sK62))) = sK24
    & n15 = sum(n8,n7)
    & n10 = sum(n2,n8)
    & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK56))))))))))))))))))))) = sK16
    & n11 = sum(n2,n9)
    & n8 = sum(n9,n20)
    & sK61 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK76)))))))))))))))))))))
    & n2 != n11
    & n17 = sum(n5,n12)
    & n6 = sum(n0,n6)
    & n2 = sum(n10,n13)
    & n4 != n16
    & n17 = sum(n18,n20)
    & n20 = sum(n15,n5)
    & n20 = sum(n13,n7)
    & n16 = sum(n9,n7)
    & n18 = sum(n1,n17)
    & n5 = sum(n16,n10)
    & n5 = sum(n18,n8)
    & n15 = sum(n12,n3)
    & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK14))))))))))))))))))))) = sK28
    & sK44 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK56)))))))))))))))))))))
    & n3 = sum(n14,n10)
    & n11 != n12
    & n6 = sum(n11,n16)
    & n13 = sum(n9,n4)
    & n16 = sum(n14,n2)
    & n10 != n17
    & n7 = sum(n20,n8)
    & n6 = sum(n17,n10)
    & n10 = sum(n9,n1)
    & n2 = sum(n1,n1)
    & n16 != n19
    & n4 = sum(n11,n14)
    & n12 != n15
    & n16 = sum(n1,n15)
    & n0 = sum(n15,n6)
    & n19 = sum(n4,n15)
    & n3 = sum(n19,n5)
    & n0 = sum(n18,n3)
    & n9 != n19
    & n13 != n19
    & n15 = sum(n10,n5)
    & n5 != n9
    & n11 != n15
    & sK45 = sum(pred(sK53),sum(succ(sK12),sum(pred(sK87),succ(sK79))))
    & sK23 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK35)))))))))))))))))))))
    & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK20))))))))))))))))))))) = sK4
    & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK45))))))))))))))))))))) = sK65
    & succ(n2) = n3
    & n16 = sum(n2,n14)
    & n2 = sum(n20,n3)
    & n12 = sum(n11,n1)
    & sK5 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK55)))))))))))))))))))))
    & n19 = sum(n18,n1)
    & n6 != n13
    & n19 = sum(n6,n13)
    & n4 = sum(n0,n4)
    & n11 != n18
    & n13 = sum(n18,n16)
    & n4 = sum(n1,n3)
    & n10 = sum(n20,n11)
    & n0 = sum(n8,n13)
    & n17 = sum(n1,n16)
    & n2 != n3
    & n3 = sum(n16,n8)
    & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK54))))))))))))))))))))) = sK12
    & n11 = sum(n1,n10)
    & n12 = sum(n7,n5)
    & n16 = sum(n3,n13)
    & n6 != n19
    & n3 != n9
    & n7 = sum(n15,n13)
    & n3 != n19
    & n1 = sum(n13,n9)
    & sum(sum(pred(sK35),succ(sK21)),sum(pred(sK21),succ(sK35))) = sK56
    & succ(n11) = n12
    & n18 != n20
    & n2 = sum(n14,n9)
    & n5 != n8
    & n20 = sum(n11,n9)
    & n19 = sum(n17,n2)
    & n14 = sum(n1,n13)
    & n15 = sum(n3,n12)
    & n11 = sum(n12,n20)
    & n10 != n12
    & n15 = sum(n5,n10)
    & n17 = sum(n0,n17)
    & sK13 = sum(pred(sK68),sum(succ(sK83),sum(pred(sK17),succ(sK65))))
    & n1 = sum(n6,n16)
    & n1 = sum(n9,n13)
    & n5 != n19
    & n15 = sum(n1,n14)
    & n3 = sum(n4,n20)
    & n17 = sum(n16,n1)
    & n1 != n11
    & n14 = sum(n0,n14)
    & succ(n7) = n8
    & n15 = sum(n14,n1)
    & n4 != n12
    & n19 != n20
    & n15 = sum(n2,n13)
    & n17 = sum(n13,n4)
    & n14 = sum(n15,n20)
    & n4 = sum(n19,n6)
    & n3 = sum(n6,n18)
    & n15 = sum(n0,n15)
    & n3 = sum(n18,n6)
    & n20 = sum(n18,n2)
    & n9 = sum(n7,n2)
    & n3 != n11
    & n5 = sum(n7,n19)
    & n0 != n14
    & n20 = sum(n17,n3)
    & n1 != n5
    & n12 = sum(n16,n17)
    & n0 != n12
    & n16 = sum(n7,n9)
    & n17 = sum(n12,n5)
    & n6 != n8
    & n20 = sum(n7,n13)
    & n10 = sum(n7,n3)
    & n5 = sum(n2,n3)
    & n11 = sum(n14,n18)
    & n4 = sum(n5,n20)
    & succ(n8) = n9
    & sK52 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK35)))))))))))))))))))))
    & n5 = sum(n11,n15)
    & n7 = sum(n12,n16)
    & n9 = sum(n5,n4)
    & n3 = sum(n10,n14)
    & n18 = sum(n12,n6)
    & n9 = sum(n20,n10)
    & succ(n0) = n1
    & n11 = sum(n15,n17)
    & n12 != n20
    & n8 = sum(n4,n4)
    & n8 != n14
    & n4 = sum(n9,n16)
    & n16 = sum(n15,n1)
    & n20 = sum(n14,n6)
    & n19 = sum(n15,n4)
    & sum(pred(sK73),sum(succ(sK71),sum(pred(sK28),succ(sK0)))) = sK84
    & ( n17 = sK6
      | n1 = sK6
      | n11 = sK6
      | n5 = sK6
      | n0 = sK6
      | n12 = sK6
      | n4 = sK6
      | n14 = sK6
      | n7 = sK6
      | n3 = sK6
      | n18 = sK6
      | n8 = sK6
      | n15 = sK6
      | n19 = sK6
      | n16 = sK6
      | n10 = sK6
      | n6 = sK6
      | n2 = sK6
      | n20 = sK6
      | n13 = sK6
      | n9 = sK6 )
    & n13 = sum(n10,n3)
    & n7 = sum(n5,n2)
    & n4 != n17
    & n1 = sum(n12,n10)
    & n13 = sum(n0,n13)
    & n10 != n15
    & n16 = sum(n20,n17)
    & n8 = sum(n20,n9)
    & n4 = sum(n17,n8)
    & n8 = sum(n5,n3)
    & n14 = sum(n5,n9)
    & sK62 = sum(sum(pred(sK47),succ(sK3)),sum(pred(sK3),succ(sK47)))
    & n8 = sum(n0,n8)
    & n4 != n18
    & n6 = sum(n1,n5)
    & n12 = sum(n10,n2)
    & n9 = sum(n0,n9)
    & n0 = sum(n12,n9)
    & n11 = sum(n16,n16)
    & n6 != n16
    & n11 = sum(n17,n15)
    & n10 = sum(n3,n7)
    & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK85))))))))))))))))))))) = sK74
    & n1 = sum(n11,n11)
    & n12 = sum(n13,n20)
    & n10 = sum(n13,n18)
    & n0 != n20
    & n2 = sum(n7,n16)
    & n3 = sum(n8,n16)
    & n3 = sum(n15,n9)
    & n0 = sum(n10,n11)
    & n14 = sum(n3,n11)
    & sK58 = sum(pred(sK16),sum(succ(sK44),sum(pred(sK82),succ(sK74))))
    & n11 != n14
    & sK26 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK64)))))))))))))))))))))
    & n0 = sum(n13,n8)
    & n1 = sum(n20,n2)
    & n5 = sum(n8,n18)
    & n13 = sum(n20,n14)
    & n12 = sum(n17,n16)
    & n15 != n18
    & n12 = sum(n1,n11)
    & n11 = sum(n18,n14)
    & n20 = sum(n12,n8)
    & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK47))))))))))))))))))))) = sK81
    & sK18 = sum(sum(pred(sK24),succ(sK51)),sum(pred(sK51),succ(sK24)))
    & n2 != n12
    & n4 != n13
    & n8 = sum(n18,n11)
    & n5 = sum(n0,n5)
    & n5 = pred(n6)
    & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK18))))))))))))))))))))) = sK9
    & n8 != n10
    & n10 != n14
    & n20 = sum(n19,n1)
    & n3 != n13
    & n2 = sum(n13,n10)
    & n5 = sum(n15,n11)
    & n18 = sum(n5,n13)
    & n6 = sum(n9,n18)
    & n18 = sum(n11,n7)
    & n3 != n4
    & sK22 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK15)))))))))))))))))))))
    & sum(sum(pred(sK76),succ(sK91)),sum(pred(sK91),succ(sK76))) = sK35
    & n1 != n8
    & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK3))))))))))))))))))))) = sK33
    & n1 != n20
    & n17 = sum(n8,n9)
    & n4 = sum(n10,n15)
    & n5 = sum(n20,n6)
    & n15 = sum(n9,n6)
    & n3 = sum(n1,n2)
    & n8 = sum(n16,n13)
    & n1 != n10
    & n12 = sum(n0,n12)
    & n2 != n16
    & n11 != n17
    & n6 = sum(n4,n2)
    & n6 != n10
    & sK36 = sum(sum(pred(sK20),succ(sK55)),sum(pred(sK55),succ(sK20)))
    & n1 != n3
    & n12 != n18
    & n5 = sum(n6,n20)
    & n9 = sum(n2,n7)
    & n12 = sum(n3,n9)
    & n17 = sum(n6,n11)
    & n13 = sum(n14,n20)
    & n19 = sum(n8,n11)
    & sK32 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK91)))))))))))))))))))))
    & n0 != n2
    & sK30 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK62)))))))))))))))))))))
    & n15 = sum(n6,n9)
    & n10 = sum(n1,n9)
    & n5 != n14
    & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK14))))))))))))))))))))) = sK0
    & n6 = sum(n19,n8)
    & n7 = sum(n11,n17)
    & n19 = sum(n12,n7)
    & n1 = sum(n17,n5)
    & n2 = sum(n3,n20)
    & n10 = sum(n12,n19)
    & n9 = pred(n10)
    & n14 = sum(n7,n7)
    & n0 != n11
    & n1 != n19
    & sum(pred(sK30),sum(succ(sK59),sum(pred(sK27),succ(sK63)))) = sK51
    & n10 = sum(n6,n4)
    & n20 = sum(n10,n10)
    & n5 = sum(n4,n1)
    & n2 != n10
    & n2 != n17
    & n8 = sum(n8,n0)
    & n20 = sum(n8,n12)
    & n7 = sum(n0,n7)
    & n7 != n19
    & n3 != n7
    & n2 = sum(n16,n7)
    & n9 != n16
    & n13 != n15
    & n0 = sum(n19,n2)
    & n13 != n18
    & n14 = sum(n14,n0)
    & n19 = sum(n10,n9)
    & n2 != n15
    & sum(sum(pred(sK56),succ(sK85)),sum(pred(sK85),succ(sK56))) = sK54
    & n7 = sum(n10,n18)
    & sK89 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK13)))))))))))))))))))))
    & sK2 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK55)))))))))))))))))))))
    & n6 != n14
    & n4 = sum(n12,n13)
    & n17 = sum(n11,n6)
    & n5 = sum(n10,n16)
    & n2 = sum(n6,n17)
    & n20 = sum(n4,n16)
    & n16 = sum(n6,n10)
    & n7 = sum(n19,n9)
    & sK3 = sum(pred(sK78),sum(succ(sK26),sum(pred(sK37),succ(sK10))))
    & n17 = sum(n2,n15)
    & n20 = sum(n2,n18)
    & n2 = sum(n19,n4)
    & n3 = sum(n20,n4)
    & n18 = sum(n7,n11)
    & sK10 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK84)))))))))))))))))))))
    & n0 != n3
    & n7 != n8
    & n8 = sum(n13,n16)
    & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK18))))))))))))))))))))) = sK31
    & n12 != n19
    & n1 = pred(n2)
    & n16 = sum(n11,n5)
    & n9 != n12
    & n20 = pred(n0)
    & n2 != n9
    & n13 = sum(n11,n2)
    & n17 = pred(n18)
    & n8 = sum(n2,n6)
    & n14 = sum(n10,n4)
    & n10 = sum(n19,n12)
    & n18 = sum(n3,n15)
    & n13 = sum(n1,n12)
    & n2 = sum(n9,n14)
    & n1 != n18
    & ( n17 = sK15
      | n8 = sK15
      | n20 = sK15
      | n6 = sK15
      | n9 = sK15
      | n7 = sK15
      | n18 = sK15
      | n19 = sK15
      | n10 = sK15
      | n15 = sK15
      | n13 = sK15
      | n11 = sK15
      | n14 = sK15
      | n3 = sK15
      | n1 = sK15
      | n16 = sK15
      | n0 = sK15
      | n5 = sK15
      | n2 = sK15
      | n12 = sK15
      | n4 = sK15 )
    & n7 = sum(n4,n3)
    & n18 = pred(n19)
    & n5 != n7
    & n14 = sum(n6,n8)
    & n15 = sum(n13,n2)
    & n0 = succ(n20)
    & n18 = sum(n10,n8)
    & n1 != n7
    & n6 = sum(n13,n14)
    & n13 = pred(n14)
    & n2 != n19
    & n11 != n16
    & n16 = sum(n5,n11)
    & n0 = sum(n2,n19)
    & n0 = sum(n3,n18)
    & sK60 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK47)))))))))))))))))))))
    & n3 != n17
    & n1 = sum(n7,n15)
    & n20 = sum(n1,n19)
    & n20 = sum(n3,n17)
    & sum(pred(sK81),sum(succ(sK60),sum(pred(sK42),succ(sK33)))) = sK1
    & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK67))))))))))))))))))))) = sK88
    & n5 != n10
    & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK25))))))))))))))))))))) = sK46
    & n1 = sum(n8,n14)
    & n6 = sum(n6,n0)
    & n0 != n6
    & n8 = sum(n10,n19)
    & n3 != n6
    & n9 = sum(n19,n11)
    & n3 = sum(n7,n17)
    & n8 != n19
    & n14 != n18
    & n11 = sum(n10,n1)
    & n0 != n8
    & n6 != n15
    & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK8))))))))))))))))))))) = sK57
    & n8 != n12
    & n19 = sum(n14,n5)
    & n18 = sum(n13,n5)
    & n7 != n13
    & n13 = sum(n13,n0)
    & n0 = pred(n1)
    & n15 = sum(n7,n8)
    & n13 = sum(n17,n17)
    & n11 = sum(n6,n5)
    & n19 = sum(n7,n12)
    & n6 = sum(n8,n19)
    & n6 != n20
    & n8 != n9
    & n11 = sum(n4,n7)
    & n4 = sum(n20,n5)
    & n12 = sum(n19,n14)
    & n1 != n14
    & n10 != n16
    & n11 = sum(n3,n8)
    & n2 = sum(n11,n12)
    & n5 = sum(n5,n0)
    & n5 != n17
    & n5 = sum(n9,n17)
    & n12 = sum(n12,n0)
    & n1 = sum(n19,n3)
    & n18 = sum(n6,n12)
    & n9 = sum(n13,n17)
    & n15 != n20
    & sum(sum(pred(sK38),succ(sK8)),sum(pred(sK8),succ(sK38))) = sK76
    & ( sK86 != sK72
      | sK24 != sK51
      | sK25 != sK18
      | sK62 != sK1 )
    & n13 = sum(n15,n19)
    & n4 != n7
    & n9 != n17
    & n0 = sum(n16,n5)
    & n6 = sum(n10,n17)
    & n12 = sum(n2,n10)
    & n13 = sum(n3,n10)
    & n13 != n20
    & n16 = sum(n12,n4)
    & n6 != n7
    & n2 = sum(n18,n5)
    & n2 = sum(n12,n11)
    & n19 = sum(n9,n10)
    & n7 = sum(n2,n5)
    & n7 = sum(n3,n4)
    & n3 = sum(n0,n3)
    & n4 = sum(n18,n7)
    & n9 != n15
    & n0 = sum(n7,n14)
    & n12 = sum(n15,n18)
    & n18 = sum(n18,n0)
    & n14 = sum(n19,n16)
    & n19 = sum(n16,n3)
    & n13 = sum(n5,n8)
    & n11 = sum(n0,n11)
    & n9 = sum(n6,n3)
    & n7 != n16
    & n7 = pred(n8)
    & n8 = sum(n15,n14)
    & n18 != n19
    & n6 = sum(n5,n1)
    & n7 != n12
    & n10 != n20
    & n14 = sum(n20,n15)
    & n12 = sum(n9,n3)
    & n3 != n8
    & n2 = sum(n17,n6)
    & n2 != n14
    & n8 = pred(n9)
    & n5 = sum(n3,n2)
    & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK25))))))))))))))))))))) = sK39
    & n11 = sum(n7,n4)
    & n16 = sum(n17,n20)
    & n13 != n17
    & n17 != n19
    & n4 = pred(n5)
    & n0 = sum(n17,n4)
    & n9 = sum(n9,n0)
    & n18 = sum(n16,n2)
    & n4 = sum(n14,n11)
    & n2 != n4
    & n16 != n20
    & sK87 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK58)))))))))))))))))))))
    & n2 != n8
    & n4 != n6
    & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK36))))))))))))))))))))) = sK73
    & n4 = sum(n7,n18)
    & n14 = pred(n15)
    & n0 = sum(n14,n7)
    & n7 = sum(n6,n1)
    & n11 = sum(n5,n6)
    & n12 != n14
    & succ(n17) = n18
    & n5 != n16
    & n0 = sum(n9,n12)
    & n7 = sum(n16,n12)
    & n7 != n14
    & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK13))))))))))))))))))))) = sK77
    & n19 = sum(n0,n19)
    & n7 = sum(n13,n15)
    & n18 = sum(n15,n3)
    & n8 = sum(n19,n10)
    & n9 != n11
    & n7 = sum(n17,n11)
    & n0 != n5
    & n15 = sum(n11,n4)
    & n4 = sum(n8,n17)
    & n6 != n18
    & n3 != n15
    & n7 != n18
    & n1 != n17
    & n20 = sum(n9,n11)
    & n1 != n15
    & sK75 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK24)))))))))))))))))))))
    & n4 != n11
    & n4 != n14
    & n3 = sum(n5,n19)
    & sK29 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK15)))))))))))))))))))))
    & n12 = sum(n14,n19)
    & n3 != n14
    & n11 = sum(n9,n2)
    & n2 != n7
    & n2 = sum(n15,n8)
    & n20 = sum(n6,n14)
    & n9 != n20
    & sK17 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK45)))))))))))))))))))))
    & n10 = sum(n0,n10)
    & n7 != n10
    & n12 != n16
    & succ(n14) = n15
    & n9 != n18
    & succ(n19) = n20
    & n10 != n18
    & n3 = pred(n4)
    & n17 = sum(n10,n7)
    & n14 != n16
    & n4 != n9
    & n17 != n20
    & sK59 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK62)))))))))))))))))))))
    & sK55 = sum(pred(sK43),sum(succ(sK88),sum(pred(sK89),succ(sK77))))
    & n12 != n13
    & n0 != n13
    & n0 = sum(n11,n10)
    & n5 != n12
    & n14 = sum(n13,n1)
    & succ(n6) = n7
    & n19 = sum(n2,n17)
    & n9 = sum(n11,n19)
    & n8 != n15
    & n2 = sum(n0,n2)
    & n19 = sum(n1,n18)
    & n7 != n9
    & n3 != n5
    & sK19 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK6)))))))))))))))))))))
    & n15 = sum(n15,n0)
    & n0 != n1
    & n13 = sum(n4,n9)
    & n14 = sum(n11,n3)
    & n5 = sum(n13,n13)
    & n18 = sum(n2,n16)
    & succ(n18) = n19
    & n8 != n13
    & n4 != n15
    & n6 = sum(n15,n12)
    & n1 = sum(n0,n1)
    & n8 = sum(n17,n12)
    & n5 = sum(n17,n9)
    & n2 != n13
    & n6 != n11
    & n17 = sum(n17,n0)
    & n15 = sum(n17,n19)
    & n11 = sum(n19,n13)
    & n19 = sum(n19,n0)
    & n19 = sum(n11,n8)
    & n18 = sum(n4,n14)
    & n7 != n11
    & n17 = sum(n9,n8)
    & n0 = sum(n6,n15)
    & n19 = sum(n3,n16)
    & n1 = sum(n1,n0)
    & n14 = sum(n18,n17)
    & n4 != n10
    & succ(n4) = n5
    & n19 = sum(n20,n20)
    & n18 = sum(n19,n20)
    & n15 = sum(n4,n11)
    & n14 != n20
    & n12 != n17
    & n1 != n9
    & n6 = sum(n3,n3)
    & n1 != n13
    & n13 = sum(n12,n1)
    & n11 = sum(n20,n12)
    & n15 = sum(n16,n20)
    & n2 = pred(n3) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK18,sK19,sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31,sK32,sK33,sK34,sK35,sK36,sK37,sK38,sK39,sK40,sK41,sK42,sK43,sK44,sK45,sK46,sK47,sK48,sK49,sK50,sK51,sK52,sK53,sK54,sK55,sK56,sK57,sK58,sK59,sK60,sK61,sK62,sK63,sK64,sK65,sK66,sK67,sK68,sK69,sK70,sK71,sK72,sK73,sK74,sK75,sK76,sK77,sK78,sK79,sK80,sK81,sK82,sK83,sK84,sK85,sK86,sK87,sK88,sK89,sK90,sK91])],[f3,f4]) ).

fof(f4,plain,
    ( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53,X54,X55,X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72,X73,X74,X75,X76,X77,X78,X79,X80,X81,X82,X83,X84,X85,X86,X87,X88,X89,X90,X91] :
        ( n13 = sum(n8,n5)
        & succ(n15) = n16
        & n19 = pred(n20)
        & n17 = sum(n7,n10)
        & n17 = sum(n15,n2)
        & n16 = pred(n17)
        & n20 = sum(n16,n4)
        & n11 = sum(n13,n19)
        & n12 = sum(n4,n8)
        & sum(sum(pred(X54),succ(X58)),sum(pred(X58),succ(X54))) = X50
        & n16 = sum(n0,n16)
        & n16 = sum(n18,n19)
        & n7 = sum(n1,n6)
        & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X58))))))))))))))))))))) = X79
        & n5 != n6
        & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X8))))))))))))))))))))) = X80
        & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X24))))))))))))))))))))) = X7
        & n16 != n17
        & n1 != n2
        & succ(n1) = n2
        & n1 = sum(n5,n17)
        & n6 = sum(n18,n9)
        & n14 = sum(n16,n19)
        & n7 = sum(n18,n10)
        & n17 = sum(n14,n3)
        & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X36))))))))))))))))))))) = X71
        & n18 = sum(n14,n4)
        & n0 != n10
        & n19 = sum(n13,n6)
        & succ(n12) = n13
        & n1 = sum(n4,n18)
        & n2 != n20
        & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X64))))))))))))))))))))) = X78
        & n6 = sum(n7,n20)
        & n17 = sum(n20,n18)
        & n0 != n7
        & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X84))))))))))))))))))))) = X37
        & n0 = sum(n4,n17)
        & n0 = sum(n5,n16)
        & n2 != n18
        & n10 = sum(n5,n5)
        & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X1))))))))))))))))))))) = X27
        & n5 != n13
        & n1 != n4
        & n6 = sum(n20,n7)
        & succ(n10) = n11
        & n7 != n17
        & n2 = sum(n8,n15)
        & n1 = sum(n18,n4)
        & n11 = pred(n12)
        & n18 = sum(n17,n1)
        & sum(sum(pred(X50),succ(X45)),sum(pred(X45),succ(X50))) = X67
        & n9 = sum(n3,n6)
        & n9 != n14
        & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X76))))))))))))))))))))) = X34
        & n3 != n20
        & n1 != n6
        & n9 != n13
        & n6 = sum(n14,n13)
        & n15 = sum(n18,n18)
        & n9 = sum(n10,n20)
        & n3 = sum(n2,n1)
        & n13 = sum(n7,n6)
        & n0 != n19
        & n13 != n14
        & n12 = sum(n8,n4)
        & n8 = sum(n12,n17)
        & n13 = sum(n6,n7)
        & n10 = sum(n4,n6)
        & n8 != n17
        & n12 = sum(n5,n7)
        & n10 = pred(n11)
        & n16 = sum(n19,n18)
        & n16 != n18
        & n8 = sum(n1,n7)
        & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X38))))))))))))))))))))) = X11
        & n20 = sum(n5,n15)
        & n5 = sum(n1,n4)
        & n0 != n4
        & n3 != n10
        & n5 != n20
        & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X91))))))))))))))))))))) = X49
        & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X21))))))))))))))))))))) = X41
        & n0 != n17
        & n7 != n20
        & n4 = sum(n6,n19)
        & n7 = sum(n14,n14)
        & n0 = sum(n0,n0)
        & n6 = pred(n7)
        & n11 != n19
        & n3 = sum(n12,n12)
        & n0 = sum(n20,n1)
        & n10 = sum(n8,n2)
        & sum(pred(X4),sum(succ(X90),sum(pred(X2),succ(X5)))) = X14
        & n16 = sum(n4,n12)
        & n13 != n16
        & n10 = sum(n18,n13)
        & sum(pred(X52),sum(succ(X23),sum(pred(X41),succ(X69)))) = X85
        & n10 != n19
        & n9 = sum(n17,n13)
        & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X54))))))))))))))))))))) = X53
        & n4 != n19
        & n11 != n20
        & n14 != n15
        & n8 = sum(n14,n15)
        & n7 = sum(n8,n20)
        & n10 = sum(n10,n0)
        & n4 = sum(n3,n1)
        & succ(n3) = n4
        & n0 != n16
        & n19 = sum(n5,n14)
        & n14 = sum(n2,n12)
        & n8 = sum(n6,n2)
        & n9 = sum(n16,n14)
        & n3 != n12
        & n2 = sum(n2,n0)
        & n4 = sum(n13,n12)
        & n5 != n15
        & n9 = sum(n1,n8)
        & sum(sum(pred(X18),succ(X25)),sum(pred(X25),succ(X18))) = X72
        & n12 = sum(n18,n15)
        & succ(n16) = n17
        & n14 != n17
        & n18 = sum(n8,n10)
        & n10 = sum(n15,n16)
        & n11 = sum(n11,n0)
        & sum(pred(X22),sum(succ(X29),sum(pred(X19),succ(X66)))) = X8
        & n2 != n5
        & n0 != n9
        & n10 = sum(n16,n15)
        & n10 = sum(n11,n20)
        & n1 = sum(n14,n8)
        & n6 != n17
        & n15 != n19
        & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X50))))))))))))))))))))) = X68
        & n6 = sum(n12,n15)
        & n6 = sum(n16,n11)
        & sum(pred(X61),sum(succ(X34),sum(pred(X49),succ(X32)))) = X21
        & n20 = sum(n20,n0)
        & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X3))))))))))))))))))))) = X42
        & sum(pred(X40),sum(succ(X11),sum(pred(X57),succ(X80)))) = X91
        & n8 = sum(n3,n5)
        & n17 = sum(n4,n13)
        & n8 != n11
        & n1 != n12
        & n4 = sum(n16,n9)
        & n4 != n8
        & n3 = sum(n11,n13)
        & n9 = sum(n4,n5)
        & n15 != n17
        & n1 = sum(n15,n7)
        & n14 = sum(n17,n18)
        & n5 = sum(n14,n12)
        & n17 = sum(n19,n19)
        & n9 = sum(n18,n12)
        & sum(pred(X75),sum(succ(X7),sum(pred(X48),succ(X70)))) = X25
        & n14 = sum(n12,n2)
        & sum(sum(pred(X15),succ(X6)),sum(pred(X6),succ(X15))) = X38
        & sum(sum(pred(X67),succ(X13)),sum(pred(X13),succ(X67))) = X20
        & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X1))))))))))))))))))))) = X63
        & succ(n13) = n14
        & sum(sum(pred(X36),succ(X14)),sum(pred(X14),succ(X36))) = X64
        & n13 = sum(n2,n11)
        & n16 = sum(n10,n6)
        & n1 = sum(n16,n6)
        & n8 != n16
        & n9 != n10
        & n15 = sum(n20,n16)
        & n1 != n16
        & n8 != n20
        & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X50))))))))))))))))))))) = X83
        & n11 = sum(n8,n3)
        & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X51))))))))))))))))))))) = X48
        & n12 = pred(n13)
        & n12 = sum(n6,n6)
        & n12 = sum(n20,n13)
        & n6 != n9
        & n11 != n13
        & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X85))))))))))))))))))))) = X82
        & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X20))))))))))))))))))))) = X90
        & n8 = sum(n11,n18)
        & n17 != n18
        & n4 = sum(n2,n2)
        & n14 = sum(n9,n5)
        & n17 = sum(n3,n14)
        & n5 != n11
        & n10 = sum(n17,n14)
        & n16 = sum(n16,n0)
        & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X21))))))))))))))))))))) = X69
        & n1 = sum(n2,n20)
        & n9 = sum(n8,n1)
        & n16 = sum(n13,n3)
        & n4 = sum(n15,n10)
        & n14 = sum(n4,n10)
        & n3 = sum(n17,n7)
        & n8 != n18
        & n10 = sum(n14,n17)
        & n3 = sum(n3,n0)
        & n9 = sum(n15,n15)
        & n20 = sum(n0,n20)
        & n6 != n12
        & succ(n5) = n6
        & n5 = sum(n19,n7)
        & n8 = sum(n7,n1)
        & n2 = sum(n4,n19)
        & n6 = sum(n2,n4)
        & n3 = sum(n13,n11)
        & n0 != n18
        & n7 = sum(n9,n19)
        & n15 != n16
        & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X38))))))))))))))))))))) = X40
        & n3 = sum(n9,n15)
        & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X51))))))))))))))))))))) = X70
        & sum(sum(pred(X64),succ(X84)),sum(pred(X84),succ(X64))) = X47
        & n7 = sum(n7,n0)
        & n2 != n6
        & n18 = sum(n20,n19)
        & n0 != n15
        & n3 != n18
        & n2 = sum(n5,n18)
        & n4 = sum(n4,n0)
        & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X67))))))))))))))))))))) = X43
        & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X6))))))))))))))))))))) = X66
        & n1 = sum(n3,n19)
        & succ(n9) = n10
        & n5 = sum(n12,n14)
        & sum(pred(X31),sum(succ(X9),sum(pred(X46),succ(X39)))) = X86
        & n14 != n19
        & n13 = sum(n16,n18)
        & n5 != n18
        & n4 != n20
        & n16 = sum(n8,n8)
        & n4 != n5
        & n3 != n16
        & n0 = sum(n1,n20)
        & n10 != n11
        & n15 = pred(n16)
        & n1 = sum(n10,n12)
        & n7 != n15
        & n10 != n13
        & n13 = sum(n19,n15)
        & n9 = sum(n14,n16)
        & n18 = sum(n0,n18)
        & n9 = sum(n12,n18)
        & n18 = sum(n9,n9)
        & n14 = sum(n8,n6)
        & n15 = sum(n19,n17)
        & sum(sum(pred(X62),succ(X1)),sum(pred(X1),succ(X62))) = X24
        & n15 = sum(n8,n7)
        & n10 = sum(n2,n8)
        & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X56))))))))))))))))))))) = X16
        & n11 = sum(n2,n9)
        & n8 = sum(n9,n20)
        & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X76))))))))))))))))))))) = X61
        & n2 != n11
        & n17 = sum(n5,n12)
        & n6 = sum(n0,n6)
        & n2 = sum(n10,n13)
        & n4 != n16
        & n17 = sum(n18,n20)
        & n20 = sum(n15,n5)
        & n20 = sum(n13,n7)
        & n16 = sum(n9,n7)
        & n18 = sum(n1,n17)
        & n5 = sum(n16,n10)
        & n5 = sum(n18,n8)
        & n15 = sum(n12,n3)
        & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X14))))))))))))))))))))) = X28
        & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X56))))))))))))))))))))) = X44
        & n3 = sum(n14,n10)
        & n11 != n12
        & n6 = sum(n11,n16)
        & n13 = sum(n9,n4)
        & n16 = sum(n14,n2)
        & n10 != n17
        & n7 = sum(n20,n8)
        & n6 = sum(n17,n10)
        & n10 = sum(n9,n1)
        & n2 = sum(n1,n1)
        & n16 != n19
        & n4 = sum(n11,n14)
        & n12 != n15
        & n16 = sum(n1,n15)
        & n0 = sum(n15,n6)
        & n19 = sum(n4,n15)
        & n3 = sum(n19,n5)
        & n0 = sum(n18,n3)
        & n9 != n19
        & n13 != n19
        & n15 = sum(n10,n5)
        & n5 != n9
        & n11 != n15
        & sum(pred(X53),sum(succ(X12),sum(pred(X87),succ(X79)))) = X45
        & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X35))))))))))))))))))))) = X23
        & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X20))))))))))))))))))))) = X4
        & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X45))))))))))))))))))))) = X65
        & succ(n2) = n3
        & n16 = sum(n2,n14)
        & n2 = sum(n20,n3)
        & n12 = sum(n11,n1)
        & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X55))))))))))))))))))))) = X5
        & n19 = sum(n18,n1)
        & n6 != n13
        & n19 = sum(n6,n13)
        & n4 = sum(n0,n4)
        & n11 != n18
        & n13 = sum(n18,n16)
        & n4 = sum(n1,n3)
        & n10 = sum(n20,n11)
        & n0 = sum(n8,n13)
        & n17 = sum(n1,n16)
        & n2 != n3
        & n3 = sum(n16,n8)
        & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X54))))))))))))))))))))) = X12
        & n11 = sum(n1,n10)
        & n12 = sum(n7,n5)
        & n16 = sum(n3,n13)
        & n6 != n19
        & n3 != n9
        & n7 = sum(n15,n13)
        & n3 != n19
        & n1 = sum(n13,n9)
        & sum(sum(pred(X35),succ(X21)),sum(pred(X21),succ(X35))) = X56
        & succ(n11) = n12
        & n18 != n20
        & n2 = sum(n14,n9)
        & n5 != n8
        & n20 = sum(n11,n9)
        & n19 = sum(n17,n2)
        & n14 = sum(n1,n13)
        & n15 = sum(n3,n12)
        & n11 = sum(n12,n20)
        & n10 != n12
        & n15 = sum(n5,n10)
        & n17 = sum(n0,n17)
        & sum(pred(X68),sum(succ(X83),sum(pred(X17),succ(X65)))) = X13
        & n1 = sum(n6,n16)
        & n1 = sum(n9,n13)
        & n5 != n19
        & n15 = sum(n1,n14)
        & n3 = sum(n4,n20)
        & n17 = sum(n16,n1)
        & n1 != n11
        & n14 = sum(n0,n14)
        & succ(n7) = n8
        & n15 = sum(n14,n1)
        & n4 != n12
        & n19 != n20
        & n15 = sum(n2,n13)
        & n17 = sum(n13,n4)
        & n14 = sum(n15,n20)
        & n4 = sum(n19,n6)
        & n3 = sum(n6,n18)
        & n15 = sum(n0,n15)
        & n3 = sum(n18,n6)
        & n20 = sum(n18,n2)
        & n9 = sum(n7,n2)
        & n3 != n11
        & n5 = sum(n7,n19)
        & n0 != n14
        & n20 = sum(n17,n3)
        & n1 != n5
        & n12 = sum(n16,n17)
        & n0 != n12
        & n16 = sum(n7,n9)
        & n17 = sum(n12,n5)
        & n6 != n8
        & n20 = sum(n7,n13)
        & n10 = sum(n7,n3)
        & n5 = sum(n2,n3)
        & n11 = sum(n14,n18)
        & n4 = sum(n5,n20)
        & succ(n8) = n9
        & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X35))))))))))))))))))))) = X52
        & n5 = sum(n11,n15)
        & n7 = sum(n12,n16)
        & n9 = sum(n5,n4)
        & n3 = sum(n10,n14)
        & n18 = sum(n12,n6)
        & n9 = sum(n20,n10)
        & succ(n0) = n1
        & n11 = sum(n15,n17)
        & n12 != n20
        & n8 = sum(n4,n4)
        & n8 != n14
        & n4 = sum(n9,n16)
        & n16 = sum(n15,n1)
        & n20 = sum(n14,n6)
        & n19 = sum(n15,n4)
        & sum(pred(X73),sum(succ(X71),sum(pred(X28),succ(X0)))) = X84
        & ( n17 = X6
          | n1 = X6
          | n11 = X6
          | n5 = X6
          | n0 = X6
          | n12 = X6
          | n4 = X6
          | n14 = X6
          | n7 = X6
          | n3 = X6
          | n18 = X6
          | n8 = X6
          | n15 = X6
          | n19 = X6
          | n16 = X6
          | n10 = X6
          | n6 = X6
          | n2 = X6
          | n20 = X6
          | n13 = X6
          | n9 = X6 )
        & n13 = sum(n10,n3)
        & n7 = sum(n5,n2)
        & n4 != n17
        & n1 = sum(n12,n10)
        & n13 = sum(n0,n13)
        & n10 != n15
        & n16 = sum(n20,n17)
        & n8 = sum(n20,n9)
        & n4 = sum(n17,n8)
        & n8 = sum(n5,n3)
        & n14 = sum(n5,n9)
        & sum(sum(pred(X47),succ(X3)),sum(pred(X3),succ(X47))) = X62
        & n8 = sum(n0,n8)
        & n4 != n18
        & n6 = sum(n1,n5)
        & n12 = sum(n10,n2)
        & n9 = sum(n0,n9)
        & n0 = sum(n12,n9)
        & n11 = sum(n16,n16)
        & n6 != n16
        & n11 = sum(n17,n15)
        & n10 = sum(n3,n7)
        & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X85))))))))))))))))))))) = X74
        & n1 = sum(n11,n11)
        & n12 = sum(n13,n20)
        & n10 = sum(n13,n18)
        & n0 != n20
        & n2 = sum(n7,n16)
        & n3 = sum(n8,n16)
        & n3 = sum(n15,n9)
        & n0 = sum(n10,n11)
        & n14 = sum(n3,n11)
        & sum(pred(X16),sum(succ(X44),sum(pred(X82),succ(X74)))) = X58
        & n11 != n14
        & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X64))))))))))))))))))))) = X26
        & n0 = sum(n13,n8)
        & n1 = sum(n20,n2)
        & n5 = sum(n8,n18)
        & n13 = sum(n20,n14)
        & n12 = sum(n17,n16)
        & n15 != n18
        & n12 = sum(n1,n11)
        & n11 = sum(n18,n14)
        & n20 = sum(n12,n8)
        & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X47))))))))))))))))))))) = X81
        & sum(sum(pred(X24),succ(X51)),sum(pred(X51),succ(X24))) = X18
        & n2 != n12
        & n4 != n13
        & n8 = sum(n18,n11)
        & n5 = sum(n0,n5)
        & n5 = pred(n6)
        & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X18))))))))))))))))))))) = X9
        & n8 != n10
        & n10 != n14
        & n20 = sum(n19,n1)
        & n3 != n13
        & n2 = sum(n13,n10)
        & n5 = sum(n15,n11)
        & n18 = sum(n5,n13)
        & n6 = sum(n9,n18)
        & n18 = sum(n11,n7)
        & n3 != n4
        & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X15))))))))))))))))))))) = X22
        & sum(sum(pred(X76),succ(X91)),sum(pred(X91),succ(X76))) = X35
        & n1 != n8
        & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X3))))))))))))))))))))) = X33
        & n1 != n20
        & n17 = sum(n8,n9)
        & n4 = sum(n10,n15)
        & n5 = sum(n20,n6)
        & n15 = sum(n9,n6)
        & n3 = sum(n1,n2)
        & n8 = sum(n16,n13)
        & n1 != n10
        & n12 = sum(n0,n12)
        & n2 != n16
        & n11 != n17
        & n6 = sum(n4,n2)
        & n6 != n10
        & sum(sum(pred(X20),succ(X55)),sum(pred(X55),succ(X20))) = X36
        & n1 != n3
        & n12 != n18
        & n5 = sum(n6,n20)
        & n9 = sum(n2,n7)
        & n12 = sum(n3,n9)
        & n17 = sum(n6,n11)
        & n13 = sum(n14,n20)
        & n19 = sum(n8,n11)
        & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X91))))))))))))))))))))) = X32
        & n0 != n2
        & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X62))))))))))))))))))))) = X30
        & n15 = sum(n6,n9)
        & n10 = sum(n1,n9)
        & n5 != n14
        & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X14))))))))))))))))))))) = X0
        & n6 = sum(n19,n8)
        & n7 = sum(n11,n17)
        & n19 = sum(n12,n7)
        & n1 = sum(n17,n5)
        & n2 = sum(n3,n20)
        & n10 = sum(n12,n19)
        & n9 = pred(n10)
        & n14 = sum(n7,n7)
        & n0 != n11
        & n1 != n19
        & sum(pred(X30),sum(succ(X59),sum(pred(X27),succ(X63)))) = X51
        & n10 = sum(n6,n4)
        & n20 = sum(n10,n10)
        & n5 = sum(n4,n1)
        & n2 != n10
        & n2 != n17
        & n8 = sum(n8,n0)
        & n20 = sum(n8,n12)
        & n7 = sum(n0,n7)
        & n7 != n19
        & n3 != n7
        & n2 = sum(n16,n7)
        & n9 != n16
        & n13 != n15
        & n0 = sum(n19,n2)
        & n13 != n18
        & n14 = sum(n14,n0)
        & n19 = sum(n10,n9)
        & n2 != n15
        & sum(sum(pred(X56),succ(X85)),sum(pred(X85),succ(X56))) = X54
        & n7 = sum(n10,n18)
        & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X13))))))))))))))))))))) = X89
        & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X55))))))))))))))))))))) = X2
        & n6 != n14
        & n4 = sum(n12,n13)
        & n17 = sum(n11,n6)
        & n5 = sum(n10,n16)
        & n2 = sum(n6,n17)
        & n20 = sum(n4,n16)
        & n16 = sum(n6,n10)
        & n7 = sum(n19,n9)
        & sum(pred(X78),sum(succ(X26),sum(pred(X37),succ(X10)))) = X3
        & n17 = sum(n2,n15)
        & n20 = sum(n2,n18)
        & n2 = sum(n19,n4)
        & n3 = sum(n20,n4)
        & n18 = sum(n7,n11)
        & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X84))))))))))))))))))))) = X10
        & n0 != n3
        & n7 != n8
        & n8 = sum(n13,n16)
        & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X18))))))))))))))))))))) = X31
        & n12 != n19
        & n1 = pred(n2)
        & n16 = sum(n11,n5)
        & n9 != n12
        & n20 = pred(n0)
        & n2 != n9
        & n13 = sum(n11,n2)
        & n17 = pred(n18)
        & n8 = sum(n2,n6)
        & n14 = sum(n10,n4)
        & n10 = sum(n19,n12)
        & n18 = sum(n3,n15)
        & n13 = sum(n1,n12)
        & n2 = sum(n9,n14)
        & n1 != n18
        & ( n17 = X15
          | n8 = X15
          | n20 = X15
          | n6 = X15
          | n9 = X15
          | n7 = X15
          | n18 = X15
          | n19 = X15
          | n10 = X15
          | n15 = X15
          | n13 = X15
          | n11 = X15
          | n14 = X15
          | n3 = X15
          | n1 = X15
          | n16 = X15
          | n0 = X15
          | n5 = X15
          | n2 = X15
          | n12 = X15
          | n4 = X15 )
        & n7 = sum(n4,n3)
        & n18 = pred(n19)
        & n5 != n7
        & n14 = sum(n6,n8)
        & n15 = sum(n13,n2)
        & n0 = succ(n20)
        & n18 = sum(n10,n8)
        & n1 != n7
        & n6 = sum(n13,n14)
        & n13 = pred(n14)
        & n2 != n19
        & n11 != n16
        & n16 = sum(n5,n11)
        & n0 = sum(n2,n19)
        & n0 = sum(n3,n18)
        & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X47))))))))))))))))))))) = X60
        & n3 != n17
        & n1 = sum(n7,n15)
        & n20 = sum(n1,n19)
        & n20 = sum(n3,n17)
        & sum(pred(X81),sum(succ(X60),sum(pred(X42),succ(X33)))) = X1
        & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X67))))))))))))))))))))) = X88
        & n5 != n10
        & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X25))))))))))))))))))))) = X46
        & n1 = sum(n8,n14)
        & n6 = sum(n6,n0)
        & n0 != n6
        & n8 = sum(n10,n19)
        & n3 != n6
        & n9 = sum(n19,n11)
        & n3 = sum(n7,n17)
        & n8 != n19
        & n14 != n18
        & n11 = sum(n10,n1)
        & n0 != n8
        & n6 != n15
        & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X8))))))))))))))))))))) = X57
        & n8 != n12
        & n19 = sum(n14,n5)
        & n18 = sum(n13,n5)
        & n7 != n13
        & n13 = sum(n13,n0)
        & n0 = pred(n1)
        & n15 = sum(n7,n8)
        & n13 = sum(n17,n17)
        & n11 = sum(n6,n5)
        & n19 = sum(n7,n12)
        & n6 = sum(n8,n19)
        & n6 != n20
        & n8 != n9
        & n11 = sum(n4,n7)
        & n4 = sum(n20,n5)
        & n12 = sum(n19,n14)
        & n1 != n14
        & n10 != n16
        & n11 = sum(n3,n8)
        & n2 = sum(n11,n12)
        & n5 = sum(n5,n0)
        & n5 != n17
        & n5 = sum(n9,n17)
        & n12 = sum(n12,n0)
        & n1 = sum(n19,n3)
        & n18 = sum(n6,n12)
        & n9 = sum(n13,n17)
        & n15 != n20
        & sum(sum(pred(X38),succ(X8)),sum(pred(X8),succ(X38))) = X76
        & ( X72 != X86
          | X24 != X51
          | X18 != X25
          | X1 != X62 )
        & n13 = sum(n15,n19)
        & n4 != n7
        & n9 != n17
        & n0 = sum(n16,n5)
        & n6 = sum(n10,n17)
        & n12 = sum(n2,n10)
        & n13 = sum(n3,n10)
        & n13 != n20
        & n16 = sum(n12,n4)
        & n6 != n7
        & n2 = sum(n18,n5)
        & n2 = sum(n12,n11)
        & n19 = sum(n9,n10)
        & n7 = sum(n2,n5)
        & n7 = sum(n3,n4)
        & n3 = sum(n0,n3)
        & n4 = sum(n18,n7)
        & n9 != n15
        & n0 = sum(n7,n14)
        & n12 = sum(n15,n18)
        & n18 = sum(n18,n0)
        & n14 = sum(n19,n16)
        & n19 = sum(n16,n3)
        & n13 = sum(n5,n8)
        & n11 = sum(n0,n11)
        & n9 = sum(n6,n3)
        & n7 != n16
        & n7 = pred(n8)
        & n8 = sum(n15,n14)
        & n18 != n19
        & n6 = sum(n5,n1)
        & n7 != n12
        & n10 != n20
        & n14 = sum(n20,n15)
        & n12 = sum(n9,n3)
        & n3 != n8
        & n2 = sum(n17,n6)
        & n2 != n14
        & n8 = pred(n9)
        & n5 = sum(n3,n2)
        & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X25))))))))))))))))))))) = X39
        & n11 = sum(n7,n4)
        & n16 = sum(n17,n20)
        & n13 != n17
        & n17 != n19
        & n4 = pred(n5)
        & n0 = sum(n17,n4)
        & n9 = sum(n9,n0)
        & n18 = sum(n16,n2)
        & n4 = sum(n14,n11)
        & n2 != n4
        & n16 != n20
        & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X58))))))))))))))))))))) = X87
        & n2 != n8
        & n4 != n6
        & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X36))))))))))))))))))))) = X73
        & n4 = sum(n7,n18)
        & n14 = pred(n15)
        & n0 = sum(n14,n7)
        & n7 = sum(n6,n1)
        & n11 = sum(n5,n6)
        & n12 != n14
        & succ(n17) = n18
        & n5 != n16
        & n0 = sum(n9,n12)
        & n7 = sum(n16,n12)
        & n7 != n14
        & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X13))))))))))))))))))))) = X77
        & n19 = sum(n0,n19)
        & n7 = sum(n13,n15)
        & n18 = sum(n15,n3)
        & n8 = sum(n19,n10)
        & n9 != n11
        & n7 = sum(n17,n11)
        & n0 != n5
        & n15 = sum(n11,n4)
        & n4 = sum(n8,n17)
        & n6 != n18
        & n3 != n15
        & n7 != n18
        & n1 != n17
        & n20 = sum(n9,n11)
        & n1 != n15
        & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X24))))))))))))))))))))) = X75
        & n4 != n11
        & n4 != n14
        & n3 = sum(n5,n19)
        & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X15))))))))))))))))))))) = X29
        & n12 = sum(n14,n19)
        & n3 != n14
        & n11 = sum(n9,n2)
        & n2 != n7
        & n2 = sum(n15,n8)
        & n20 = sum(n6,n14)
        & n9 != n20
        & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X45))))))))))))))))))))) = X17
        & n10 = sum(n0,n10)
        & n7 != n10
        & n12 != n16
        & succ(n14) = n15
        & n9 != n18
        & succ(n19) = n20
        & n10 != n18
        & n3 = pred(n4)
        & n17 = sum(n10,n7)
        & n14 != n16
        & n4 != n9
        & n17 != n20
        & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X62))))))))))))))))))))) = X59
        & sum(pred(X43),sum(succ(X88),sum(pred(X89),succ(X77)))) = X55
        & n12 != n13
        & n0 != n13
        & n0 = sum(n11,n10)
        & n5 != n12
        & n14 = sum(n13,n1)
        & succ(n6) = n7
        & n19 = sum(n2,n17)
        & n9 = sum(n11,n19)
        & n8 != n15
        & n2 = sum(n0,n2)
        & n19 = sum(n1,n18)
        & n7 != n9
        & n3 != n5
        & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X6))))))))))))))))))))) = X19
        & n15 = sum(n15,n0)
        & n0 != n1
        & n13 = sum(n4,n9)
        & n14 = sum(n11,n3)
        & n5 = sum(n13,n13)
        & n18 = sum(n2,n16)
        & succ(n18) = n19
        & n8 != n13
        & n4 != n15
        & n6 = sum(n15,n12)
        & n1 = sum(n0,n1)
        & n8 = sum(n17,n12)
        & n5 = sum(n17,n9)
        & n2 != n13
        & n6 != n11
        & n17 = sum(n17,n0)
        & n15 = sum(n17,n19)
        & n11 = sum(n19,n13)
        & n19 = sum(n19,n0)
        & n19 = sum(n11,n8)
        & n18 = sum(n4,n14)
        & n7 != n11
        & n17 = sum(n9,n8)
        & n0 = sum(n6,n15)
        & n19 = sum(n3,n16)
        & n1 = sum(n1,n0)
        & n14 = sum(n18,n17)
        & n4 != n10
        & succ(n4) = n5
        & n19 = sum(n20,n20)
        & n18 = sum(n19,n20)
        & n15 = sum(n4,n11)
        & n14 != n20
        & n12 != n17
        & n1 != n9
        & n6 = sum(n3,n3)
        & n1 != n13
        & n13 = sum(n12,n1)
        & n11 = sum(n20,n12)
        & n15 = sum(n16,n20)
        & n2 = pred(n3) )
   => ( n13 = sum(n8,n5)
      & succ(n15) = n16
      & n19 = pred(n20)
      & n17 = sum(n7,n10)
      & n17 = sum(n15,n2)
      & n16 = pred(n17)
      & n20 = sum(n16,n4)
      & n11 = sum(n13,n19)
      & n12 = sum(n4,n8)
      & sK50 = sum(sum(pred(sK54),succ(sK58)),sum(pred(sK58),succ(sK54)))
      & n16 = sum(n0,n16)
      & n16 = sum(n18,n19)
      & n7 = sum(n1,n6)
      & sK79 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK58)))))))))))))))))))))
      & n5 != n6
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK8))))))))))))))))))))) = sK80
      & sK7 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK24)))))))))))))))))))))
      & n16 != n17
      & n1 != n2
      & succ(n1) = n2
      & n1 = sum(n5,n17)
      & n6 = sum(n18,n9)
      & n14 = sum(n16,n19)
      & n7 = sum(n18,n10)
      & n17 = sum(n14,n3)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK36))))))))))))))))))))) = sK71
      & n18 = sum(n14,n4)
      & n0 != n10
      & n19 = sum(n13,n6)
      & succ(n12) = n13
      & n1 = sum(n4,n18)
      & n2 != n20
      & sK78 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK64)))))))))))))))))))))
      & n6 = sum(n7,n20)
      & n17 = sum(n20,n18)
      & n0 != n7
      & sK37 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK84)))))))))))))))))))))
      & n0 = sum(n4,n17)
      & n0 = sum(n5,n16)
      & n2 != n18
      & n10 = sum(n5,n5)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK1))))))))))))))))))))) = sK27
      & n5 != n13
      & n1 != n4
      & n6 = sum(n20,n7)
      & succ(n10) = n11
      & n7 != n17
      & n2 = sum(n8,n15)
      & n1 = sum(n18,n4)
      & n11 = pred(n12)
      & n18 = sum(n17,n1)
      & sK67 = sum(sum(pred(sK50),succ(sK45)),sum(pred(sK45),succ(sK50)))
      & n9 = sum(n3,n6)
      & n9 != n14
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK76))))))))))))))))))))) = sK34
      & n3 != n20
      & n1 != n6
      & n9 != n13
      & n6 = sum(n14,n13)
      & n15 = sum(n18,n18)
      & n9 = sum(n10,n20)
      & n3 = sum(n2,n1)
      & n13 = sum(n7,n6)
      & n0 != n19
      & n13 != n14
      & n12 = sum(n8,n4)
      & n8 = sum(n12,n17)
      & n13 = sum(n6,n7)
      & n10 = sum(n4,n6)
      & n8 != n17
      & n12 = sum(n5,n7)
      & n10 = pred(n11)
      & n16 = sum(n19,n18)
      & n16 != n18
      & n8 = sum(n1,n7)
      & sK11 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK38)))))))))))))))))))))
      & n20 = sum(n5,n15)
      & n5 = sum(n1,n4)
      & n0 != n4
      & n3 != n10
      & n5 != n20
      & sK49 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK91)))))))))))))))))))))
      & sK41 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK21)))))))))))))))))))))
      & n0 != n17
      & n7 != n20
      & n4 = sum(n6,n19)
      & n7 = sum(n14,n14)
      & n0 = sum(n0,n0)
      & n6 = pred(n7)
      & n11 != n19
      & n3 = sum(n12,n12)
      & n0 = sum(n20,n1)
      & n10 = sum(n8,n2)
      & sK14 = sum(pred(sK4),sum(succ(sK90),sum(pred(sK2),succ(sK5))))
      & n16 = sum(n4,n12)
      & n13 != n16
      & n10 = sum(n18,n13)
      & sum(pred(sK52),sum(succ(sK23),sum(pred(sK41),succ(sK69)))) = sK85
      & n10 != n19
      & n9 = sum(n17,n13)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK54))))))))))))))))))))) = sK53
      & n4 != n19
      & n11 != n20
      & n14 != n15
      & n8 = sum(n14,n15)
      & n7 = sum(n8,n20)
      & n10 = sum(n10,n0)
      & n4 = sum(n3,n1)
      & succ(n3) = n4
      & n0 != n16
      & n19 = sum(n5,n14)
      & n14 = sum(n2,n12)
      & n8 = sum(n6,n2)
      & n9 = sum(n16,n14)
      & n3 != n12
      & n2 = sum(n2,n0)
      & n4 = sum(n13,n12)
      & n5 != n15
      & n9 = sum(n1,n8)
      & sK72 = sum(sum(pred(sK18),succ(sK25)),sum(pred(sK25),succ(sK18)))
      & n12 = sum(n18,n15)
      & succ(n16) = n17
      & n14 != n17
      & n18 = sum(n8,n10)
      & n10 = sum(n15,n16)
      & n11 = sum(n11,n0)
      & sum(pred(sK22),sum(succ(sK29),sum(pred(sK19),succ(sK66)))) = sK8
      & n2 != n5
      & n0 != n9
      & n10 = sum(n16,n15)
      & n10 = sum(n11,n20)
      & n1 = sum(n14,n8)
      & n6 != n17
      & n15 != n19
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK50))))))))))))))))))))) = sK68
      & n6 = sum(n12,n15)
      & n6 = sum(n16,n11)
      & sK21 = sum(pred(sK61),sum(succ(sK34),sum(pred(sK49),succ(sK32))))
      & n20 = sum(n20,n0)
      & sK42 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK3)))))))))))))))))))))
      & sum(pred(sK40),sum(succ(sK11),sum(pred(sK57),succ(sK80)))) = sK91
      & n8 = sum(n3,n5)
      & n17 = sum(n4,n13)
      & n8 != n11
      & n1 != n12
      & n4 = sum(n16,n9)
      & n4 != n8
      & n3 = sum(n11,n13)
      & n9 = sum(n4,n5)
      & n15 != n17
      & n1 = sum(n15,n7)
      & n14 = sum(n17,n18)
      & n5 = sum(n14,n12)
      & n17 = sum(n19,n19)
      & n9 = sum(n18,n12)
      & sum(pred(sK75),sum(succ(sK7),sum(pred(sK48),succ(sK70)))) = sK25
      & n14 = sum(n12,n2)
      & sK38 = sum(sum(pred(sK15),succ(sK6)),sum(pred(sK6),succ(sK15)))
      & sum(sum(pred(sK67),succ(sK13)),sum(pred(sK13),succ(sK67))) = sK20
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK1))))))))))))))))))))) = sK63
      & succ(n13) = n14
      & sK64 = sum(sum(pred(sK36),succ(sK14)),sum(pred(sK14),succ(sK36)))
      & n13 = sum(n2,n11)
      & n16 = sum(n10,n6)
      & n1 = sum(n16,n6)
      & n8 != n16
      & n9 != n10
      & n15 = sum(n20,n16)
      & n1 != n16
      & n8 != n20
      & sK83 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK50)))))))))))))))))))))
      & n11 = sum(n8,n3)
      & sK48 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK51)))))))))))))))))))))
      & n12 = pred(n13)
      & n12 = sum(n6,n6)
      & n12 = sum(n20,n13)
      & n6 != n9
      & n11 != n13
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK85))))))))))))))))))))) = sK82
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK20))))))))))))))))))))) = sK90
      & n8 = sum(n11,n18)
      & n17 != n18
      & n4 = sum(n2,n2)
      & n14 = sum(n9,n5)
      & n17 = sum(n3,n14)
      & n5 != n11
      & n10 = sum(n17,n14)
      & n16 = sum(n16,n0)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK21))))))))))))))))))))) = sK69
      & n1 = sum(n2,n20)
      & n9 = sum(n8,n1)
      & n16 = sum(n13,n3)
      & n4 = sum(n15,n10)
      & n14 = sum(n4,n10)
      & n3 = sum(n17,n7)
      & n8 != n18
      & n10 = sum(n14,n17)
      & n3 = sum(n3,n0)
      & n9 = sum(n15,n15)
      & n20 = sum(n0,n20)
      & n6 != n12
      & succ(n5) = n6
      & n5 = sum(n19,n7)
      & n8 = sum(n7,n1)
      & n2 = sum(n4,n19)
      & n6 = sum(n2,n4)
      & n3 = sum(n13,n11)
      & n0 != n18
      & n7 = sum(n9,n19)
      & n15 != n16
      & sK40 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK38)))))))))))))))))))))
      & n3 = sum(n9,n15)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK51))))))))))))))))))))) = sK70
      & sum(sum(pred(sK64),succ(sK84)),sum(pred(sK84),succ(sK64))) = sK47
      & n7 = sum(n7,n0)
      & n2 != n6
      & n18 = sum(n20,n19)
      & n0 != n15
      & n3 != n18
      & n2 = sum(n5,n18)
      & n4 = sum(n4,n0)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK67))))))))))))))))))))) = sK43
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK6))))))))))))))))))))) = sK66
      & n1 = sum(n3,n19)
      & succ(n9) = n10
      & n5 = sum(n12,n14)
      & sK86 = sum(pred(sK31),sum(succ(sK9),sum(pred(sK46),succ(sK39))))
      & n14 != n19
      & n13 = sum(n16,n18)
      & n5 != n18
      & n4 != n20
      & n16 = sum(n8,n8)
      & n4 != n5
      & n3 != n16
      & n0 = sum(n1,n20)
      & n10 != n11
      & n15 = pred(n16)
      & n1 = sum(n10,n12)
      & n7 != n15
      & n10 != n13
      & n13 = sum(n19,n15)
      & n9 = sum(n14,n16)
      & n18 = sum(n0,n18)
      & n9 = sum(n12,n18)
      & n18 = sum(n9,n9)
      & n14 = sum(n8,n6)
      & n15 = sum(n19,n17)
      & sum(sum(pred(sK62),succ(sK1)),sum(pred(sK1),succ(sK62))) = sK24
      & n15 = sum(n8,n7)
      & n10 = sum(n2,n8)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK56))))))))))))))))))))) = sK16
      & n11 = sum(n2,n9)
      & n8 = sum(n9,n20)
      & sK61 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK76)))))))))))))))))))))
      & n2 != n11
      & n17 = sum(n5,n12)
      & n6 = sum(n0,n6)
      & n2 = sum(n10,n13)
      & n4 != n16
      & n17 = sum(n18,n20)
      & n20 = sum(n15,n5)
      & n20 = sum(n13,n7)
      & n16 = sum(n9,n7)
      & n18 = sum(n1,n17)
      & n5 = sum(n16,n10)
      & n5 = sum(n18,n8)
      & n15 = sum(n12,n3)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK14))))))))))))))))))))) = sK28
      & sK44 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK56)))))))))))))))))))))
      & n3 = sum(n14,n10)
      & n11 != n12
      & n6 = sum(n11,n16)
      & n13 = sum(n9,n4)
      & n16 = sum(n14,n2)
      & n10 != n17
      & n7 = sum(n20,n8)
      & n6 = sum(n17,n10)
      & n10 = sum(n9,n1)
      & n2 = sum(n1,n1)
      & n16 != n19
      & n4 = sum(n11,n14)
      & n12 != n15
      & n16 = sum(n1,n15)
      & n0 = sum(n15,n6)
      & n19 = sum(n4,n15)
      & n3 = sum(n19,n5)
      & n0 = sum(n18,n3)
      & n9 != n19
      & n13 != n19
      & n15 = sum(n10,n5)
      & n5 != n9
      & n11 != n15
      & sK45 = sum(pred(sK53),sum(succ(sK12),sum(pred(sK87),succ(sK79))))
      & sK23 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK35)))))))))))))))))))))
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK20))))))))))))))))))))) = sK4
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK45))))))))))))))))))))) = sK65
      & succ(n2) = n3
      & n16 = sum(n2,n14)
      & n2 = sum(n20,n3)
      & n12 = sum(n11,n1)
      & sK5 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK55)))))))))))))))))))))
      & n19 = sum(n18,n1)
      & n6 != n13
      & n19 = sum(n6,n13)
      & n4 = sum(n0,n4)
      & n11 != n18
      & n13 = sum(n18,n16)
      & n4 = sum(n1,n3)
      & n10 = sum(n20,n11)
      & n0 = sum(n8,n13)
      & n17 = sum(n1,n16)
      & n2 != n3
      & n3 = sum(n16,n8)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK54))))))))))))))))))))) = sK12
      & n11 = sum(n1,n10)
      & n12 = sum(n7,n5)
      & n16 = sum(n3,n13)
      & n6 != n19
      & n3 != n9
      & n7 = sum(n15,n13)
      & n3 != n19
      & n1 = sum(n13,n9)
      & sum(sum(pred(sK35),succ(sK21)),sum(pred(sK21),succ(sK35))) = sK56
      & succ(n11) = n12
      & n18 != n20
      & n2 = sum(n14,n9)
      & n5 != n8
      & n20 = sum(n11,n9)
      & n19 = sum(n17,n2)
      & n14 = sum(n1,n13)
      & n15 = sum(n3,n12)
      & n11 = sum(n12,n20)
      & n10 != n12
      & n15 = sum(n5,n10)
      & n17 = sum(n0,n17)
      & sK13 = sum(pred(sK68),sum(succ(sK83),sum(pred(sK17),succ(sK65))))
      & n1 = sum(n6,n16)
      & n1 = sum(n9,n13)
      & n5 != n19
      & n15 = sum(n1,n14)
      & n3 = sum(n4,n20)
      & n17 = sum(n16,n1)
      & n1 != n11
      & n14 = sum(n0,n14)
      & succ(n7) = n8
      & n15 = sum(n14,n1)
      & n4 != n12
      & n19 != n20
      & n15 = sum(n2,n13)
      & n17 = sum(n13,n4)
      & n14 = sum(n15,n20)
      & n4 = sum(n19,n6)
      & n3 = sum(n6,n18)
      & n15 = sum(n0,n15)
      & n3 = sum(n18,n6)
      & n20 = sum(n18,n2)
      & n9 = sum(n7,n2)
      & n3 != n11
      & n5 = sum(n7,n19)
      & n0 != n14
      & n20 = sum(n17,n3)
      & n1 != n5
      & n12 = sum(n16,n17)
      & n0 != n12
      & n16 = sum(n7,n9)
      & n17 = sum(n12,n5)
      & n6 != n8
      & n20 = sum(n7,n13)
      & n10 = sum(n7,n3)
      & n5 = sum(n2,n3)
      & n11 = sum(n14,n18)
      & n4 = sum(n5,n20)
      & succ(n8) = n9
      & sK52 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK35)))))))))))))))))))))
      & n5 = sum(n11,n15)
      & n7 = sum(n12,n16)
      & n9 = sum(n5,n4)
      & n3 = sum(n10,n14)
      & n18 = sum(n12,n6)
      & n9 = sum(n20,n10)
      & succ(n0) = n1
      & n11 = sum(n15,n17)
      & n12 != n20
      & n8 = sum(n4,n4)
      & n8 != n14
      & n4 = sum(n9,n16)
      & n16 = sum(n15,n1)
      & n20 = sum(n14,n6)
      & n19 = sum(n15,n4)
      & sum(pred(sK73),sum(succ(sK71),sum(pred(sK28),succ(sK0)))) = sK84
      & ( n17 = sK6
        | n1 = sK6
        | n11 = sK6
        | n5 = sK6
        | n0 = sK6
        | n12 = sK6
        | n4 = sK6
        | n14 = sK6
        | n7 = sK6
        | n3 = sK6
        | n18 = sK6
        | n8 = sK6
        | n15 = sK6
        | n19 = sK6
        | n16 = sK6
        | n10 = sK6
        | n6 = sK6
        | n2 = sK6
        | n20 = sK6
        | n13 = sK6
        | n9 = sK6 )
      & n13 = sum(n10,n3)
      & n7 = sum(n5,n2)
      & n4 != n17
      & n1 = sum(n12,n10)
      & n13 = sum(n0,n13)
      & n10 != n15
      & n16 = sum(n20,n17)
      & n8 = sum(n20,n9)
      & n4 = sum(n17,n8)
      & n8 = sum(n5,n3)
      & n14 = sum(n5,n9)
      & sK62 = sum(sum(pred(sK47),succ(sK3)),sum(pred(sK3),succ(sK47)))
      & n8 = sum(n0,n8)
      & n4 != n18
      & n6 = sum(n1,n5)
      & n12 = sum(n10,n2)
      & n9 = sum(n0,n9)
      & n0 = sum(n12,n9)
      & n11 = sum(n16,n16)
      & n6 != n16
      & n11 = sum(n17,n15)
      & n10 = sum(n3,n7)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK85))))))))))))))))))))) = sK74
      & n1 = sum(n11,n11)
      & n12 = sum(n13,n20)
      & n10 = sum(n13,n18)
      & n0 != n20
      & n2 = sum(n7,n16)
      & n3 = sum(n8,n16)
      & n3 = sum(n15,n9)
      & n0 = sum(n10,n11)
      & n14 = sum(n3,n11)
      & sK58 = sum(pred(sK16),sum(succ(sK44),sum(pred(sK82),succ(sK74))))
      & n11 != n14
      & sK26 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK64)))))))))))))))))))))
      & n0 = sum(n13,n8)
      & n1 = sum(n20,n2)
      & n5 = sum(n8,n18)
      & n13 = sum(n20,n14)
      & n12 = sum(n17,n16)
      & n15 != n18
      & n12 = sum(n1,n11)
      & n11 = sum(n18,n14)
      & n20 = sum(n12,n8)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK47))))))))))))))))))))) = sK81
      & sK18 = sum(sum(pred(sK24),succ(sK51)),sum(pred(sK51),succ(sK24)))
      & n2 != n12
      & n4 != n13
      & n8 = sum(n18,n11)
      & n5 = sum(n0,n5)
      & n5 = pred(n6)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK18))))))))))))))))))))) = sK9
      & n8 != n10
      & n10 != n14
      & n20 = sum(n19,n1)
      & n3 != n13
      & n2 = sum(n13,n10)
      & n5 = sum(n15,n11)
      & n18 = sum(n5,n13)
      & n6 = sum(n9,n18)
      & n18 = sum(n11,n7)
      & n3 != n4
      & sK22 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK15)))))))))))))))))))))
      & sum(sum(pred(sK76),succ(sK91)),sum(pred(sK91),succ(sK76))) = sK35
      & n1 != n8
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK3))))))))))))))))))))) = sK33
      & n1 != n20
      & n17 = sum(n8,n9)
      & n4 = sum(n10,n15)
      & n5 = sum(n20,n6)
      & n15 = sum(n9,n6)
      & n3 = sum(n1,n2)
      & n8 = sum(n16,n13)
      & n1 != n10
      & n12 = sum(n0,n12)
      & n2 != n16
      & n11 != n17
      & n6 = sum(n4,n2)
      & n6 != n10
      & sK36 = sum(sum(pred(sK20),succ(sK55)),sum(pred(sK55),succ(sK20)))
      & n1 != n3
      & n12 != n18
      & n5 = sum(n6,n20)
      & n9 = sum(n2,n7)
      & n12 = sum(n3,n9)
      & n17 = sum(n6,n11)
      & n13 = sum(n14,n20)
      & n19 = sum(n8,n11)
      & sK32 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK91)))))))))))))))))))))
      & n0 != n2
      & sK30 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK62)))))))))))))))))))))
      & n15 = sum(n6,n9)
      & n10 = sum(n1,n9)
      & n5 != n14
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK14))))))))))))))))))))) = sK0
      & n6 = sum(n19,n8)
      & n7 = sum(n11,n17)
      & n19 = sum(n12,n7)
      & n1 = sum(n17,n5)
      & n2 = sum(n3,n20)
      & n10 = sum(n12,n19)
      & n9 = pred(n10)
      & n14 = sum(n7,n7)
      & n0 != n11
      & n1 != n19
      & sum(pred(sK30),sum(succ(sK59),sum(pred(sK27),succ(sK63)))) = sK51
      & n10 = sum(n6,n4)
      & n20 = sum(n10,n10)
      & n5 = sum(n4,n1)
      & n2 != n10
      & n2 != n17
      & n8 = sum(n8,n0)
      & n20 = sum(n8,n12)
      & n7 = sum(n0,n7)
      & n7 != n19
      & n3 != n7
      & n2 = sum(n16,n7)
      & n9 != n16
      & n13 != n15
      & n0 = sum(n19,n2)
      & n13 != n18
      & n14 = sum(n14,n0)
      & n19 = sum(n10,n9)
      & n2 != n15
      & sum(sum(pred(sK56),succ(sK85)),sum(pred(sK85),succ(sK56))) = sK54
      & n7 = sum(n10,n18)
      & sK89 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK13)))))))))))))))))))))
      & sK2 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK55)))))))))))))))))))))
      & n6 != n14
      & n4 = sum(n12,n13)
      & n17 = sum(n11,n6)
      & n5 = sum(n10,n16)
      & n2 = sum(n6,n17)
      & n20 = sum(n4,n16)
      & n16 = sum(n6,n10)
      & n7 = sum(n19,n9)
      & sK3 = sum(pred(sK78),sum(succ(sK26),sum(pred(sK37),succ(sK10))))
      & n17 = sum(n2,n15)
      & n20 = sum(n2,n18)
      & n2 = sum(n19,n4)
      & n3 = sum(n20,n4)
      & n18 = sum(n7,n11)
      & sK10 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK84)))))))))))))))))))))
      & n0 != n3
      & n7 != n8
      & n8 = sum(n13,n16)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK18))))))))))))))))))))) = sK31
      & n12 != n19
      & n1 = pred(n2)
      & n16 = sum(n11,n5)
      & n9 != n12
      & n20 = pred(n0)
      & n2 != n9
      & n13 = sum(n11,n2)
      & n17 = pred(n18)
      & n8 = sum(n2,n6)
      & n14 = sum(n10,n4)
      & n10 = sum(n19,n12)
      & n18 = sum(n3,n15)
      & n13 = sum(n1,n12)
      & n2 = sum(n9,n14)
      & n1 != n18
      & ( n17 = sK15
        | n8 = sK15
        | n20 = sK15
        | n6 = sK15
        | n9 = sK15
        | n7 = sK15
        | n18 = sK15
        | n19 = sK15
        | n10 = sK15
        | n15 = sK15
        | n13 = sK15
        | n11 = sK15
        | n14 = sK15
        | n3 = sK15
        | n1 = sK15
        | n16 = sK15
        | n0 = sK15
        | n5 = sK15
        | n2 = sK15
        | n12 = sK15
        | n4 = sK15 )
      & n7 = sum(n4,n3)
      & n18 = pred(n19)
      & n5 != n7
      & n14 = sum(n6,n8)
      & n15 = sum(n13,n2)
      & n0 = succ(n20)
      & n18 = sum(n10,n8)
      & n1 != n7
      & n6 = sum(n13,n14)
      & n13 = pred(n14)
      & n2 != n19
      & n11 != n16
      & n16 = sum(n5,n11)
      & n0 = sum(n2,n19)
      & n0 = sum(n3,n18)
      & sK60 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK47)))))))))))))))))))))
      & n3 != n17
      & n1 = sum(n7,n15)
      & n20 = sum(n1,n19)
      & n20 = sum(n3,n17)
      & sum(pred(sK81),sum(succ(sK60),sum(pred(sK42),succ(sK33)))) = sK1
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK67))))))))))))))))))))) = sK88
      & n5 != n10
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK25))))))))))))))))))))) = sK46
      & n1 = sum(n8,n14)
      & n6 = sum(n6,n0)
      & n0 != n6
      & n8 = sum(n10,n19)
      & n3 != n6
      & n9 = sum(n19,n11)
      & n3 = sum(n7,n17)
      & n8 != n19
      & n14 != n18
      & n11 = sum(n10,n1)
      & n0 != n8
      & n6 != n15
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK8))))))))))))))))))))) = sK57
      & n8 != n12
      & n19 = sum(n14,n5)
      & n18 = sum(n13,n5)
      & n7 != n13
      & n13 = sum(n13,n0)
      & n0 = pred(n1)
      & n15 = sum(n7,n8)
      & n13 = sum(n17,n17)
      & n11 = sum(n6,n5)
      & n19 = sum(n7,n12)
      & n6 = sum(n8,n19)
      & n6 != n20
      & n8 != n9
      & n11 = sum(n4,n7)
      & n4 = sum(n20,n5)
      & n12 = sum(n19,n14)
      & n1 != n14
      & n10 != n16
      & n11 = sum(n3,n8)
      & n2 = sum(n11,n12)
      & n5 = sum(n5,n0)
      & n5 != n17
      & n5 = sum(n9,n17)
      & n12 = sum(n12,n0)
      & n1 = sum(n19,n3)
      & n18 = sum(n6,n12)
      & n9 = sum(n13,n17)
      & n15 != n20
      & sum(sum(pred(sK38),succ(sK8)),sum(pred(sK8),succ(sK38))) = sK76
      & ( sK86 != sK72
        | sK24 != sK51
        | sK25 != sK18
        | sK62 != sK1 )
      & n13 = sum(n15,n19)
      & n4 != n7
      & n9 != n17
      & n0 = sum(n16,n5)
      & n6 = sum(n10,n17)
      & n12 = sum(n2,n10)
      & n13 = sum(n3,n10)
      & n13 != n20
      & n16 = sum(n12,n4)
      & n6 != n7
      & n2 = sum(n18,n5)
      & n2 = sum(n12,n11)
      & n19 = sum(n9,n10)
      & n7 = sum(n2,n5)
      & n7 = sum(n3,n4)
      & n3 = sum(n0,n3)
      & n4 = sum(n18,n7)
      & n9 != n15
      & n0 = sum(n7,n14)
      & n12 = sum(n15,n18)
      & n18 = sum(n18,n0)
      & n14 = sum(n19,n16)
      & n19 = sum(n16,n3)
      & n13 = sum(n5,n8)
      & n11 = sum(n0,n11)
      & n9 = sum(n6,n3)
      & n7 != n16
      & n7 = pred(n8)
      & n8 = sum(n15,n14)
      & n18 != n19
      & n6 = sum(n5,n1)
      & n7 != n12
      & n10 != n20
      & n14 = sum(n20,n15)
      & n12 = sum(n9,n3)
      & n3 != n8
      & n2 = sum(n17,n6)
      & n2 != n14
      & n8 = pred(n9)
      & n5 = sum(n3,n2)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK25))))))))))))))))))))) = sK39
      & n11 = sum(n7,n4)
      & n16 = sum(n17,n20)
      & n13 != n17
      & n17 != n19
      & n4 = pred(n5)
      & n0 = sum(n17,n4)
      & n9 = sum(n9,n0)
      & n18 = sum(n16,n2)
      & n4 = sum(n14,n11)
      & n2 != n4
      & n16 != n20
      & sK87 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK58)))))))))))))))))))))
      & n2 != n8
      & n4 != n6
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK36))))))))))))))))))))) = sK73
      & n4 = sum(n7,n18)
      & n14 = pred(n15)
      & n0 = sum(n14,n7)
      & n7 = sum(n6,n1)
      & n11 = sum(n5,n6)
      & n12 != n14
      & succ(n17) = n18
      & n5 != n16
      & n0 = sum(n9,n12)
      & n7 = sum(n16,n12)
      & n7 != n14
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK13))))))))))))))))))))) = sK77
      & n19 = sum(n0,n19)
      & n7 = sum(n13,n15)
      & n18 = sum(n15,n3)
      & n8 = sum(n19,n10)
      & n9 != n11
      & n7 = sum(n17,n11)
      & n0 != n5
      & n15 = sum(n11,n4)
      & n4 = sum(n8,n17)
      & n6 != n18
      & n3 != n15
      & n7 != n18
      & n1 != n17
      & n20 = sum(n9,n11)
      & n1 != n15
      & sK75 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK24)))))))))))))))))))))
      & n4 != n11
      & n4 != n14
      & n3 = sum(n5,n19)
      & sK29 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK15)))))))))))))))))))))
      & n12 = sum(n14,n19)
      & n3 != n14
      & n11 = sum(n9,n2)
      & n2 != n7
      & n2 = sum(n15,n8)
      & n20 = sum(n6,n14)
      & n9 != n20
      & sK17 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK45)))))))))))))))))))))
      & n10 = sum(n0,n10)
      & n7 != n10
      & n12 != n16
      & succ(n14) = n15
      & n9 != n18
      & succ(n19) = n20
      & n10 != n18
      & n3 = pred(n4)
      & n17 = sum(n10,n7)
      & n14 != n16
      & n4 != n9
      & n17 != n20
      & sK59 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK62)))))))))))))))))))))
      & sK55 = sum(pred(sK43),sum(succ(sK88),sum(pred(sK89),succ(sK77))))
      & n12 != n13
      & n0 != n13
      & n0 = sum(n11,n10)
      & n5 != n12
      & n14 = sum(n13,n1)
      & succ(n6) = n7
      & n19 = sum(n2,n17)
      & n9 = sum(n11,n19)
      & n8 != n15
      & n2 = sum(n0,n2)
      & n19 = sum(n1,n18)
      & n7 != n9
      & n3 != n5
      & sK19 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK6)))))))))))))))))))))
      & n15 = sum(n15,n0)
      & n0 != n1
      & n13 = sum(n4,n9)
      & n14 = sum(n11,n3)
      & n5 = sum(n13,n13)
      & n18 = sum(n2,n16)
      & succ(n18) = n19
      & n8 != n13
      & n4 != n15
      & n6 = sum(n15,n12)
      & n1 = sum(n0,n1)
      & n8 = sum(n17,n12)
      & n5 = sum(n17,n9)
      & n2 != n13
      & n6 != n11
      & n17 = sum(n17,n0)
      & n15 = sum(n17,n19)
      & n11 = sum(n19,n13)
      & n19 = sum(n19,n0)
      & n19 = sum(n11,n8)
      & n18 = sum(n4,n14)
      & n7 != n11
      & n17 = sum(n9,n8)
      & n0 = sum(n6,n15)
      & n19 = sum(n3,n16)
      & n1 = sum(n1,n0)
      & n14 = sum(n18,n17)
      & n4 != n10
      & succ(n4) = n5
      & n19 = sum(n20,n20)
      & n18 = sum(n19,n20)
      & n15 = sum(n4,n11)
      & n14 != n20
      & n12 != n17
      & n1 != n9
      & n6 = sum(n3,n3)
      & n1 != n13
      & n13 = sum(n12,n1)
      & n11 = sum(n20,n12)
      & n15 = sum(n16,n20)
      & n2 = pred(n3) ) ),
    introduced(choice_axiom,[]) ).

fof(f3,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53,X54,X55,X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72,X73,X74,X75,X76,X77,X78,X79,X80,X81,X82,X83,X84,X85,X86,X87,X88,X89,X90,X91] :
      ( n13 = sum(n8,n5)
      & succ(n15) = n16
      & n19 = pred(n20)
      & n17 = sum(n7,n10)
      & n17 = sum(n15,n2)
      & n16 = pred(n17)
      & n20 = sum(n16,n4)
      & n11 = sum(n13,n19)
      & n12 = sum(n4,n8)
      & sum(sum(pred(X54),succ(X58)),sum(pred(X58),succ(X54))) = X50
      & n16 = sum(n0,n16)
      & n16 = sum(n18,n19)
      & n7 = sum(n1,n6)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X58))))))))))))))))))))) = X79
      & n5 != n6
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X8))))))))))))))))))))) = X80
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X24))))))))))))))))))))) = X7
      & n16 != n17
      & n1 != n2
      & succ(n1) = n2
      & n1 = sum(n5,n17)
      & n6 = sum(n18,n9)
      & n14 = sum(n16,n19)
      & n7 = sum(n18,n10)
      & n17 = sum(n14,n3)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X36))))))))))))))))))))) = X71
      & n18 = sum(n14,n4)
      & n0 != n10
      & n19 = sum(n13,n6)
      & succ(n12) = n13
      & n1 = sum(n4,n18)
      & n2 != n20
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X64))))))))))))))))))))) = X78
      & n6 = sum(n7,n20)
      & n17 = sum(n20,n18)
      & n0 != n7
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X84))))))))))))))))))))) = X37
      & n0 = sum(n4,n17)
      & n0 = sum(n5,n16)
      & n2 != n18
      & n10 = sum(n5,n5)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X1))))))))))))))))))))) = X27
      & n5 != n13
      & n1 != n4
      & n6 = sum(n20,n7)
      & succ(n10) = n11
      & n7 != n17
      & n2 = sum(n8,n15)
      & n1 = sum(n18,n4)
      & n11 = pred(n12)
      & n18 = sum(n17,n1)
      & sum(sum(pred(X50),succ(X45)),sum(pred(X45),succ(X50))) = X67
      & n9 = sum(n3,n6)
      & n9 != n14
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X76))))))))))))))))))))) = X34
      & n3 != n20
      & n1 != n6
      & n9 != n13
      & n6 = sum(n14,n13)
      & n15 = sum(n18,n18)
      & n9 = sum(n10,n20)
      & n3 = sum(n2,n1)
      & n13 = sum(n7,n6)
      & n0 != n19
      & n13 != n14
      & n12 = sum(n8,n4)
      & n8 = sum(n12,n17)
      & n13 = sum(n6,n7)
      & n10 = sum(n4,n6)
      & n8 != n17
      & n12 = sum(n5,n7)
      & n10 = pred(n11)
      & n16 = sum(n19,n18)
      & n16 != n18
      & n8 = sum(n1,n7)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X38))))))))))))))))))))) = X11
      & n20 = sum(n5,n15)
      & n5 = sum(n1,n4)
      & n0 != n4
      & n3 != n10
      & n5 != n20
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X91))))))))))))))))))))) = X49
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X21))))))))))))))))))))) = X41
      & n0 != n17
      & n7 != n20
      & n4 = sum(n6,n19)
      & n7 = sum(n14,n14)
      & n0 = sum(n0,n0)
      & n6 = pred(n7)
      & n11 != n19
      & n3 = sum(n12,n12)
      & n0 = sum(n20,n1)
      & n10 = sum(n8,n2)
      & sum(pred(X4),sum(succ(X90),sum(pred(X2),succ(X5)))) = X14
      & n16 = sum(n4,n12)
      & n13 != n16
      & n10 = sum(n18,n13)
      & sum(pred(X52),sum(succ(X23),sum(pred(X41),succ(X69)))) = X85
      & n10 != n19
      & n9 = sum(n17,n13)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X54))))))))))))))))))))) = X53
      & n4 != n19
      & n11 != n20
      & n14 != n15
      & n8 = sum(n14,n15)
      & n7 = sum(n8,n20)
      & n10 = sum(n10,n0)
      & n4 = sum(n3,n1)
      & succ(n3) = n4
      & n0 != n16
      & n19 = sum(n5,n14)
      & n14 = sum(n2,n12)
      & n8 = sum(n6,n2)
      & n9 = sum(n16,n14)
      & n3 != n12
      & n2 = sum(n2,n0)
      & n4 = sum(n13,n12)
      & n5 != n15
      & n9 = sum(n1,n8)
      & sum(sum(pred(X18),succ(X25)),sum(pred(X25),succ(X18))) = X72
      & n12 = sum(n18,n15)
      & succ(n16) = n17
      & n14 != n17
      & n18 = sum(n8,n10)
      & n10 = sum(n15,n16)
      & n11 = sum(n11,n0)
      & sum(pred(X22),sum(succ(X29),sum(pred(X19),succ(X66)))) = X8
      & n2 != n5
      & n0 != n9
      & n10 = sum(n16,n15)
      & n10 = sum(n11,n20)
      & n1 = sum(n14,n8)
      & n6 != n17
      & n15 != n19
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X50))))))))))))))))))))) = X68
      & n6 = sum(n12,n15)
      & n6 = sum(n16,n11)
      & sum(pred(X61),sum(succ(X34),sum(pred(X49),succ(X32)))) = X21
      & n20 = sum(n20,n0)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X3))))))))))))))))))))) = X42
      & sum(pred(X40),sum(succ(X11),sum(pred(X57),succ(X80)))) = X91
      & n8 = sum(n3,n5)
      & n17 = sum(n4,n13)
      & n8 != n11
      & n1 != n12
      & n4 = sum(n16,n9)
      & n4 != n8
      & n3 = sum(n11,n13)
      & n9 = sum(n4,n5)
      & n15 != n17
      & n1 = sum(n15,n7)
      & n14 = sum(n17,n18)
      & n5 = sum(n14,n12)
      & n17 = sum(n19,n19)
      & n9 = sum(n18,n12)
      & sum(pred(X75),sum(succ(X7),sum(pred(X48),succ(X70)))) = X25
      & n14 = sum(n12,n2)
      & sum(sum(pred(X15),succ(X6)),sum(pred(X6),succ(X15))) = X38
      & sum(sum(pred(X67),succ(X13)),sum(pred(X13),succ(X67))) = X20
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X1))))))))))))))))))))) = X63
      & succ(n13) = n14
      & sum(sum(pred(X36),succ(X14)),sum(pred(X14),succ(X36))) = X64
      & n13 = sum(n2,n11)
      & n16 = sum(n10,n6)
      & n1 = sum(n16,n6)
      & n8 != n16
      & n9 != n10
      & n15 = sum(n20,n16)
      & n1 != n16
      & n8 != n20
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X50))))))))))))))))))))) = X83
      & n11 = sum(n8,n3)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X51))))))))))))))))))))) = X48
      & n12 = pred(n13)
      & n12 = sum(n6,n6)
      & n12 = sum(n20,n13)
      & n6 != n9
      & n11 != n13
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X85))))))))))))))))))))) = X82
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X20))))))))))))))))))))) = X90
      & n8 = sum(n11,n18)
      & n17 != n18
      & n4 = sum(n2,n2)
      & n14 = sum(n9,n5)
      & n17 = sum(n3,n14)
      & n5 != n11
      & n10 = sum(n17,n14)
      & n16 = sum(n16,n0)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X21))))))))))))))))))))) = X69
      & n1 = sum(n2,n20)
      & n9 = sum(n8,n1)
      & n16 = sum(n13,n3)
      & n4 = sum(n15,n10)
      & n14 = sum(n4,n10)
      & n3 = sum(n17,n7)
      & n8 != n18
      & n10 = sum(n14,n17)
      & n3 = sum(n3,n0)
      & n9 = sum(n15,n15)
      & n20 = sum(n0,n20)
      & n6 != n12
      & succ(n5) = n6
      & n5 = sum(n19,n7)
      & n8 = sum(n7,n1)
      & n2 = sum(n4,n19)
      & n6 = sum(n2,n4)
      & n3 = sum(n13,n11)
      & n0 != n18
      & n7 = sum(n9,n19)
      & n15 != n16
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X38))))))))))))))))))))) = X40
      & n3 = sum(n9,n15)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X51))))))))))))))))))))) = X70
      & sum(sum(pred(X64),succ(X84)),sum(pred(X84),succ(X64))) = X47
      & n7 = sum(n7,n0)
      & n2 != n6
      & n18 = sum(n20,n19)
      & n0 != n15
      & n3 != n18
      & n2 = sum(n5,n18)
      & n4 = sum(n4,n0)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X67))))))))))))))))))))) = X43
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X6))))))))))))))))))))) = X66
      & n1 = sum(n3,n19)
      & succ(n9) = n10
      & n5 = sum(n12,n14)
      & sum(pred(X31),sum(succ(X9),sum(pred(X46),succ(X39)))) = X86
      & n14 != n19
      & n13 = sum(n16,n18)
      & n5 != n18
      & n4 != n20
      & n16 = sum(n8,n8)
      & n4 != n5
      & n3 != n16
      & n0 = sum(n1,n20)
      & n10 != n11
      & n15 = pred(n16)
      & n1 = sum(n10,n12)
      & n7 != n15
      & n10 != n13
      & n13 = sum(n19,n15)
      & n9 = sum(n14,n16)
      & n18 = sum(n0,n18)
      & n9 = sum(n12,n18)
      & n18 = sum(n9,n9)
      & n14 = sum(n8,n6)
      & n15 = sum(n19,n17)
      & sum(sum(pred(X62),succ(X1)),sum(pred(X1),succ(X62))) = X24
      & n15 = sum(n8,n7)
      & n10 = sum(n2,n8)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X56))))))))))))))))))))) = X16
      & n11 = sum(n2,n9)
      & n8 = sum(n9,n20)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X76))))))))))))))))))))) = X61
      & n2 != n11
      & n17 = sum(n5,n12)
      & n6 = sum(n0,n6)
      & n2 = sum(n10,n13)
      & n4 != n16
      & n17 = sum(n18,n20)
      & n20 = sum(n15,n5)
      & n20 = sum(n13,n7)
      & n16 = sum(n9,n7)
      & n18 = sum(n1,n17)
      & n5 = sum(n16,n10)
      & n5 = sum(n18,n8)
      & n15 = sum(n12,n3)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X14))))))))))))))))))))) = X28
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X56))))))))))))))))))))) = X44
      & n3 = sum(n14,n10)
      & n11 != n12
      & n6 = sum(n11,n16)
      & n13 = sum(n9,n4)
      & n16 = sum(n14,n2)
      & n10 != n17
      & n7 = sum(n20,n8)
      & n6 = sum(n17,n10)
      & n10 = sum(n9,n1)
      & n2 = sum(n1,n1)
      & n16 != n19
      & n4 = sum(n11,n14)
      & n12 != n15
      & n16 = sum(n1,n15)
      & n0 = sum(n15,n6)
      & n19 = sum(n4,n15)
      & n3 = sum(n19,n5)
      & n0 = sum(n18,n3)
      & n9 != n19
      & n13 != n19
      & n15 = sum(n10,n5)
      & n5 != n9
      & n11 != n15
      & sum(pred(X53),sum(succ(X12),sum(pred(X87),succ(X79)))) = X45
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X35))))))))))))))))))))) = X23
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X20))))))))))))))))))))) = X4
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X45))))))))))))))))))))) = X65
      & succ(n2) = n3
      & n16 = sum(n2,n14)
      & n2 = sum(n20,n3)
      & n12 = sum(n11,n1)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X55))))))))))))))))))))) = X5
      & n19 = sum(n18,n1)
      & n6 != n13
      & n19 = sum(n6,n13)
      & n4 = sum(n0,n4)
      & n11 != n18
      & n13 = sum(n18,n16)
      & n4 = sum(n1,n3)
      & n10 = sum(n20,n11)
      & n0 = sum(n8,n13)
      & n17 = sum(n1,n16)
      & n2 != n3
      & n3 = sum(n16,n8)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X54))))))))))))))))))))) = X12
      & n11 = sum(n1,n10)
      & n12 = sum(n7,n5)
      & n16 = sum(n3,n13)
      & n6 != n19
      & n3 != n9
      & n7 = sum(n15,n13)
      & n3 != n19
      & n1 = sum(n13,n9)
      & sum(sum(pred(X35),succ(X21)),sum(pred(X21),succ(X35))) = X56
      & succ(n11) = n12
      & n18 != n20
      & n2 = sum(n14,n9)
      & n5 != n8
      & n20 = sum(n11,n9)
      & n19 = sum(n17,n2)
      & n14 = sum(n1,n13)
      & n15 = sum(n3,n12)
      & n11 = sum(n12,n20)
      & n10 != n12
      & n15 = sum(n5,n10)
      & n17 = sum(n0,n17)
      & sum(pred(X68),sum(succ(X83),sum(pred(X17),succ(X65)))) = X13
      & n1 = sum(n6,n16)
      & n1 = sum(n9,n13)
      & n5 != n19
      & n15 = sum(n1,n14)
      & n3 = sum(n4,n20)
      & n17 = sum(n16,n1)
      & n1 != n11
      & n14 = sum(n0,n14)
      & succ(n7) = n8
      & n15 = sum(n14,n1)
      & n4 != n12
      & n19 != n20
      & n15 = sum(n2,n13)
      & n17 = sum(n13,n4)
      & n14 = sum(n15,n20)
      & n4 = sum(n19,n6)
      & n3 = sum(n6,n18)
      & n15 = sum(n0,n15)
      & n3 = sum(n18,n6)
      & n20 = sum(n18,n2)
      & n9 = sum(n7,n2)
      & n3 != n11
      & n5 = sum(n7,n19)
      & n0 != n14
      & n20 = sum(n17,n3)
      & n1 != n5
      & n12 = sum(n16,n17)
      & n0 != n12
      & n16 = sum(n7,n9)
      & n17 = sum(n12,n5)
      & n6 != n8
      & n20 = sum(n7,n13)
      & n10 = sum(n7,n3)
      & n5 = sum(n2,n3)
      & n11 = sum(n14,n18)
      & n4 = sum(n5,n20)
      & succ(n8) = n9
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X35))))))))))))))))))))) = X52
      & n5 = sum(n11,n15)
      & n7 = sum(n12,n16)
      & n9 = sum(n5,n4)
      & n3 = sum(n10,n14)
      & n18 = sum(n12,n6)
      & n9 = sum(n20,n10)
      & succ(n0) = n1
      & n11 = sum(n15,n17)
      & n12 != n20
      & n8 = sum(n4,n4)
      & n8 != n14
      & n4 = sum(n9,n16)
      & n16 = sum(n15,n1)
      & n20 = sum(n14,n6)
      & n19 = sum(n15,n4)
      & sum(pred(X73),sum(succ(X71),sum(pred(X28),succ(X0)))) = X84
      & ( n17 = X6
        | n1 = X6
        | n11 = X6
        | n5 = X6
        | n0 = X6
        | n12 = X6
        | n4 = X6
        | n14 = X6
        | n7 = X6
        | n3 = X6
        | n18 = X6
        | n8 = X6
        | n15 = X6
        | n19 = X6
        | n16 = X6
        | n10 = X6
        | n6 = X6
        | n2 = X6
        | n20 = X6
        | n13 = X6
        | n9 = X6 )
      & n13 = sum(n10,n3)
      & n7 = sum(n5,n2)
      & n4 != n17
      & n1 = sum(n12,n10)
      & n13 = sum(n0,n13)
      & n10 != n15
      & n16 = sum(n20,n17)
      & n8 = sum(n20,n9)
      & n4 = sum(n17,n8)
      & n8 = sum(n5,n3)
      & n14 = sum(n5,n9)
      & sum(sum(pred(X47),succ(X3)),sum(pred(X3),succ(X47))) = X62
      & n8 = sum(n0,n8)
      & n4 != n18
      & n6 = sum(n1,n5)
      & n12 = sum(n10,n2)
      & n9 = sum(n0,n9)
      & n0 = sum(n12,n9)
      & n11 = sum(n16,n16)
      & n6 != n16
      & n11 = sum(n17,n15)
      & n10 = sum(n3,n7)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X85))))))))))))))))))))) = X74
      & n1 = sum(n11,n11)
      & n12 = sum(n13,n20)
      & n10 = sum(n13,n18)
      & n0 != n20
      & n2 = sum(n7,n16)
      & n3 = sum(n8,n16)
      & n3 = sum(n15,n9)
      & n0 = sum(n10,n11)
      & n14 = sum(n3,n11)
      & sum(pred(X16),sum(succ(X44),sum(pred(X82),succ(X74)))) = X58
      & n11 != n14
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X64))))))))))))))))))))) = X26
      & n0 = sum(n13,n8)
      & n1 = sum(n20,n2)
      & n5 = sum(n8,n18)
      & n13 = sum(n20,n14)
      & n12 = sum(n17,n16)
      & n15 != n18
      & n12 = sum(n1,n11)
      & n11 = sum(n18,n14)
      & n20 = sum(n12,n8)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X47))))))))))))))))))))) = X81
      & sum(sum(pred(X24),succ(X51)),sum(pred(X51),succ(X24))) = X18
      & n2 != n12
      & n4 != n13
      & n8 = sum(n18,n11)
      & n5 = sum(n0,n5)
      & n5 = pred(n6)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X18))))))))))))))))))))) = X9
      & n8 != n10
      & n10 != n14
      & n20 = sum(n19,n1)
      & n3 != n13
      & n2 = sum(n13,n10)
      & n5 = sum(n15,n11)
      & n18 = sum(n5,n13)
      & n6 = sum(n9,n18)
      & n18 = sum(n11,n7)
      & n3 != n4
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X15))))))))))))))))))))) = X22
      & sum(sum(pred(X76),succ(X91)),sum(pred(X91),succ(X76))) = X35
      & n1 != n8
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X3))))))))))))))))))))) = X33
      & n1 != n20
      & n17 = sum(n8,n9)
      & n4 = sum(n10,n15)
      & n5 = sum(n20,n6)
      & n15 = sum(n9,n6)
      & n3 = sum(n1,n2)
      & n8 = sum(n16,n13)
      & n1 != n10
      & n12 = sum(n0,n12)
      & n2 != n16
      & n11 != n17
      & n6 = sum(n4,n2)
      & n6 != n10
      & sum(sum(pred(X20),succ(X55)),sum(pred(X55),succ(X20))) = X36
      & n1 != n3
      & n12 != n18
      & n5 = sum(n6,n20)
      & n9 = sum(n2,n7)
      & n12 = sum(n3,n9)
      & n17 = sum(n6,n11)
      & n13 = sum(n14,n20)
      & n19 = sum(n8,n11)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X91))))))))))))))))))))) = X32
      & n0 != n2
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X62))))))))))))))))))))) = X30
      & n15 = sum(n6,n9)
      & n10 = sum(n1,n9)
      & n5 != n14
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X14))))))))))))))))))))) = X0
      & n6 = sum(n19,n8)
      & n7 = sum(n11,n17)
      & n19 = sum(n12,n7)
      & n1 = sum(n17,n5)
      & n2 = sum(n3,n20)
      & n10 = sum(n12,n19)
      & n9 = pred(n10)
      & n14 = sum(n7,n7)
      & n0 != n11
      & n1 != n19
      & sum(pred(X30),sum(succ(X59),sum(pred(X27),succ(X63)))) = X51
      & n10 = sum(n6,n4)
      & n20 = sum(n10,n10)
      & n5 = sum(n4,n1)
      & n2 != n10
      & n2 != n17
      & n8 = sum(n8,n0)
      & n20 = sum(n8,n12)
      & n7 = sum(n0,n7)
      & n7 != n19
      & n3 != n7
      & n2 = sum(n16,n7)
      & n9 != n16
      & n13 != n15
      & n0 = sum(n19,n2)
      & n13 != n18
      & n14 = sum(n14,n0)
      & n19 = sum(n10,n9)
      & n2 != n15
      & sum(sum(pred(X56),succ(X85)),sum(pred(X85),succ(X56))) = X54
      & n7 = sum(n10,n18)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X13))))))))))))))))))))) = X89
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X55))))))))))))))))))))) = X2
      & n6 != n14
      & n4 = sum(n12,n13)
      & n17 = sum(n11,n6)
      & n5 = sum(n10,n16)
      & n2 = sum(n6,n17)
      & n20 = sum(n4,n16)
      & n16 = sum(n6,n10)
      & n7 = sum(n19,n9)
      & sum(pred(X78),sum(succ(X26),sum(pred(X37),succ(X10)))) = X3
      & n17 = sum(n2,n15)
      & n20 = sum(n2,n18)
      & n2 = sum(n19,n4)
      & n3 = sum(n20,n4)
      & n18 = sum(n7,n11)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X84))))))))))))))))))))) = X10
      & n0 != n3
      & n7 != n8
      & n8 = sum(n13,n16)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X18))))))))))))))))))))) = X31
      & n12 != n19
      & n1 = pred(n2)
      & n16 = sum(n11,n5)
      & n9 != n12
      & n20 = pred(n0)
      & n2 != n9
      & n13 = sum(n11,n2)
      & n17 = pred(n18)
      & n8 = sum(n2,n6)
      & n14 = sum(n10,n4)
      & n10 = sum(n19,n12)
      & n18 = sum(n3,n15)
      & n13 = sum(n1,n12)
      & n2 = sum(n9,n14)
      & n1 != n18
      & ( n17 = X15
        | n8 = X15
        | n20 = X15
        | n6 = X15
        | n9 = X15
        | n7 = X15
        | n18 = X15
        | n19 = X15
        | n10 = X15
        | n15 = X15
        | n13 = X15
        | n11 = X15
        | n14 = X15
        | n3 = X15
        | n1 = X15
        | n16 = X15
        | n0 = X15
        | n5 = X15
        | n2 = X15
        | n12 = X15
        | n4 = X15 )
      & n7 = sum(n4,n3)
      & n18 = pred(n19)
      & n5 != n7
      & n14 = sum(n6,n8)
      & n15 = sum(n13,n2)
      & n0 = succ(n20)
      & n18 = sum(n10,n8)
      & n1 != n7
      & n6 = sum(n13,n14)
      & n13 = pred(n14)
      & n2 != n19
      & n11 != n16
      & n16 = sum(n5,n11)
      & n0 = sum(n2,n19)
      & n0 = sum(n3,n18)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X47))))))))))))))))))))) = X60
      & n3 != n17
      & n1 = sum(n7,n15)
      & n20 = sum(n1,n19)
      & n20 = sum(n3,n17)
      & sum(pred(X81),sum(succ(X60),sum(pred(X42),succ(X33)))) = X1
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X67))))))))))))))))))))) = X88
      & n5 != n10
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X25))))))))))))))))))))) = X46
      & n1 = sum(n8,n14)
      & n6 = sum(n6,n0)
      & n0 != n6
      & n8 = sum(n10,n19)
      & n3 != n6
      & n9 = sum(n19,n11)
      & n3 = sum(n7,n17)
      & n8 != n19
      & n14 != n18
      & n11 = sum(n10,n1)
      & n0 != n8
      & n6 != n15
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X8))))))))))))))))))))) = X57
      & n8 != n12
      & n19 = sum(n14,n5)
      & n18 = sum(n13,n5)
      & n7 != n13
      & n13 = sum(n13,n0)
      & n0 = pred(n1)
      & n15 = sum(n7,n8)
      & n13 = sum(n17,n17)
      & n11 = sum(n6,n5)
      & n19 = sum(n7,n12)
      & n6 = sum(n8,n19)
      & n6 != n20
      & n8 != n9
      & n11 = sum(n4,n7)
      & n4 = sum(n20,n5)
      & n12 = sum(n19,n14)
      & n1 != n14
      & n10 != n16
      & n11 = sum(n3,n8)
      & n2 = sum(n11,n12)
      & n5 = sum(n5,n0)
      & n5 != n17
      & n5 = sum(n9,n17)
      & n12 = sum(n12,n0)
      & n1 = sum(n19,n3)
      & n18 = sum(n6,n12)
      & n9 = sum(n13,n17)
      & n15 != n20
      & sum(sum(pred(X38),succ(X8)),sum(pred(X8),succ(X38))) = X76
      & ( X72 != X86
        | X24 != X51
        | X18 != X25
        | X1 != X62 )
      & n13 = sum(n15,n19)
      & n4 != n7
      & n9 != n17
      & n0 = sum(n16,n5)
      & n6 = sum(n10,n17)
      & n12 = sum(n2,n10)
      & n13 = sum(n3,n10)
      & n13 != n20
      & n16 = sum(n12,n4)
      & n6 != n7
      & n2 = sum(n18,n5)
      & n2 = sum(n12,n11)
      & n19 = sum(n9,n10)
      & n7 = sum(n2,n5)
      & n7 = sum(n3,n4)
      & n3 = sum(n0,n3)
      & n4 = sum(n18,n7)
      & n9 != n15
      & n0 = sum(n7,n14)
      & n12 = sum(n15,n18)
      & n18 = sum(n18,n0)
      & n14 = sum(n19,n16)
      & n19 = sum(n16,n3)
      & n13 = sum(n5,n8)
      & n11 = sum(n0,n11)
      & n9 = sum(n6,n3)
      & n7 != n16
      & n7 = pred(n8)
      & n8 = sum(n15,n14)
      & n18 != n19
      & n6 = sum(n5,n1)
      & n7 != n12
      & n10 != n20
      & n14 = sum(n20,n15)
      & n12 = sum(n9,n3)
      & n3 != n8
      & n2 = sum(n17,n6)
      & n2 != n14
      & n8 = pred(n9)
      & n5 = sum(n3,n2)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X25))))))))))))))))))))) = X39
      & n11 = sum(n7,n4)
      & n16 = sum(n17,n20)
      & n13 != n17
      & n17 != n19
      & n4 = pred(n5)
      & n0 = sum(n17,n4)
      & n9 = sum(n9,n0)
      & n18 = sum(n16,n2)
      & n4 = sum(n14,n11)
      & n2 != n4
      & n16 != n20
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X58))))))))))))))))))))) = X87
      & n2 != n8
      & n4 != n6
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X36))))))))))))))))))))) = X73
      & n4 = sum(n7,n18)
      & n14 = pred(n15)
      & n0 = sum(n14,n7)
      & n7 = sum(n6,n1)
      & n11 = sum(n5,n6)
      & n12 != n14
      & succ(n17) = n18
      & n5 != n16
      & n0 = sum(n9,n12)
      & n7 = sum(n16,n12)
      & n7 != n14
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X13))))))))))))))))))))) = X77
      & n19 = sum(n0,n19)
      & n7 = sum(n13,n15)
      & n18 = sum(n15,n3)
      & n8 = sum(n19,n10)
      & n9 != n11
      & n7 = sum(n17,n11)
      & n0 != n5
      & n15 = sum(n11,n4)
      & n4 = sum(n8,n17)
      & n6 != n18
      & n3 != n15
      & n7 != n18
      & n1 != n17
      & n20 = sum(n9,n11)
      & n1 != n15
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X24))))))))))))))))))))) = X75
      & n4 != n11
      & n4 != n14
      & n3 = sum(n5,n19)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X15))))))))))))))))))))) = X29
      & n12 = sum(n14,n19)
      & n3 != n14
      & n11 = sum(n9,n2)
      & n2 != n7
      & n2 = sum(n15,n8)
      & n20 = sum(n6,n14)
      & n9 != n20
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X45))))))))))))))))))))) = X17
      & n10 = sum(n0,n10)
      & n7 != n10
      & n12 != n16
      & succ(n14) = n15
      & n9 != n18
      & succ(n19) = n20
      & n10 != n18
      & n3 = pred(n4)
      & n17 = sum(n10,n7)
      & n14 != n16
      & n4 != n9
      & n17 != n20
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X62))))))))))))))))))))) = X59
      & sum(pred(X43),sum(succ(X88),sum(pred(X89),succ(X77)))) = X55
      & n12 != n13
      & n0 != n13
      & n0 = sum(n11,n10)
      & n5 != n12
      & n14 = sum(n13,n1)
      & succ(n6) = n7
      & n19 = sum(n2,n17)
      & n9 = sum(n11,n19)
      & n8 != n15
      & n2 = sum(n0,n2)
      & n19 = sum(n1,n18)
      & n7 != n9
      & n3 != n5
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X6))))))))))))))))))))) = X19
      & n15 = sum(n15,n0)
      & n0 != n1
      & n13 = sum(n4,n9)
      & n14 = sum(n11,n3)
      & n5 = sum(n13,n13)
      & n18 = sum(n2,n16)
      & succ(n18) = n19
      & n8 != n13
      & n4 != n15
      & n6 = sum(n15,n12)
      & n1 = sum(n0,n1)
      & n8 = sum(n17,n12)
      & n5 = sum(n17,n9)
      & n2 != n13
      & n6 != n11
      & n17 = sum(n17,n0)
      & n15 = sum(n17,n19)
      & n11 = sum(n19,n13)
      & n19 = sum(n19,n0)
      & n19 = sum(n11,n8)
      & n18 = sum(n4,n14)
      & n7 != n11
      & n17 = sum(n9,n8)
      & n0 = sum(n6,n15)
      & n19 = sum(n3,n16)
      & n1 = sum(n1,n0)
      & n14 = sum(n18,n17)
      & n4 != n10
      & succ(n4) = n5
      & n19 = sum(n20,n20)
      & n18 = sum(n19,n20)
      & n15 = sum(n4,n11)
      & n14 != n20
      & n12 != n17
      & n1 != n9
      & n6 = sum(n3,n3)
      & n1 != n13
      & n13 = sum(n12,n1)
      & n11 = sum(n20,n12)
      & n15 = sum(n16,n20)
      & n2 = pred(n3) ),
    inference(rectify,[],[f2]) ).

fof(f2,plain,
    ? [X51,X20,X57,X47,X70,X7,X21,X6,X76,X40,X62,X33,X75,X10,X5,X83,X59,X39,X78,X72,X2,X15,X64,X88,X32,X42,X29,X3,X73,X35,X61,X67,X84,X71,X74,X46,X12,X69,X80,X89,X16,X58,X43,X13,X36,X26,X50,X34,X79,X31,X65,X56,X63,X8,X41,X17,X52,X91,X81,X25,X37,X48,X66,X18,X38,X68,X23,X30,X0,X82,X1,X60,X27,X53,X77,X49,X9,X19,X44,X11,X45,X14,X86,X55,X90,X4,X85,X24,X22,X87,X28,X54] :
      ( n13 = sum(n8,n5)
      & succ(n15) = n16
      & n19 = pred(n20)
      & n17 = sum(n7,n10)
      & n17 = sum(n15,n2)
      & n16 = pred(n17)
      & n20 = sum(n16,n4)
      & n11 = sum(n13,n19)
      & n12 = sum(n4,n8)
      & sum(sum(pred(X41),succ(X81)),sum(pred(X81),succ(X41))) = X65
      & n16 = sum(n0,n16)
      & n16 = sum(n18,n19)
      & n7 = sum(n1,n6)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X81))))))))))))))))))))) = X11
      & n5 != n6
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X76))))))))))))))))))))) = X45
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X32))))))))))))))))))))) = X6
      & n16 != n17
      & n1 != n2
      & succ(n1) = n2
      & n1 = sum(n5,n17)
      & n6 = sum(n18,n9)
      & n14 = sum(n16,n19)
      & n7 = sum(n18,n10)
      & n17 = sum(n14,n3)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X12))))))))))))))))))))) = X60
      & n18 = sum(n14,n4)
      & n0 != n10
      & n19 = sum(n13,n6)
      & succ(n12) = n13
      & n1 = sum(n4,n18)
      & n2 != n20
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X38))))))))))))))))))))) = X44
      & n6 = sum(n7,n20)
      & n17 = sum(n20,n18)
      & n0 != n7
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X90))))))))))))))))))))) = X69
      & n0 = sum(n4,n17)
      & n0 = sum(n5,n16)
      & n2 != n18
      & n10 = sum(n5,n5)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X20))))))))))))))))))))) = X3
      & n5 != n13
      & n1 != n4
      & n6 = sum(n20,n7)
      & succ(n10) = n11
      & n7 != n17
      & n2 = sum(n8,n15)
      & n1 = sum(n18,n4)
      & n11 = pred(n12)
      & n18 = sum(n17,n1)
      & sum(sum(pred(X65),succ(X26)),sum(pred(X26),succ(X65))) = X30
      & n9 = sum(n3,n6)
      & n9 != n14
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X9))))))))))))))))))))) = X74
      & n3 != n20
      & n1 != n6
      & n9 != n13
      & n6 = sum(n14,n13)
      & n15 = sum(n18,n18)
      & n9 = sum(n10,n20)
      & n3 = sum(n2,n1)
      & n13 = sum(n7,n6)
      & n0 != n19
      & n13 != n14
      & n12 = sum(n8,n4)
      & n8 = sum(n12,n17)
      & n13 = sum(n6,n7)
      & n10 = sum(n4,n6)
      & n8 != n17
      & n12 = sum(n5,n7)
      & n10 = pred(n11)
      & n16 = sum(n19,n18)
      & n16 != n18
      & n8 = sum(n1,n7)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X80))))))))))))))))))))) = X33
      & n20 = sum(n5,n15)
      & n5 = sum(n1,n4)
      & n0 != n4
      & n3 != n10
      & n5 != n20
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X54))))))))))))))))))))) = X31
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X15))))))))))))))))))))) = X58
      & n0 != n17
      & n7 != n20
      & n4 = sum(n6,n19)
      & n7 = sum(n14,n14)
      & n0 = sum(n0,n0)
      & n6 = pred(n7)
      & n11 != n19
      & n3 = sum(n12,n12)
      & n0 = sum(n20,n1)
      & n10 = sum(n8,n2)
      & sum(pred(X70),sum(succ(X28),sum(pred(X57),succ(X7)))) = X5
      & n16 = sum(n4,n12)
      & n13 != n16
      & n10 = sum(n18,n13)
      & sum(pred(X63),sum(succ(X88),sum(pred(X58),succ(X82)))) = X4
      & n10 != n19
      & n9 = sum(n17,n13)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X41))))))))))))))))))))) = X8
      & n4 != n19
      & n11 != n20
      & n14 != n15
      & n8 = sum(n14,n15)
      & n7 = sum(n8,n20)
      & n10 = sum(n10,n0)
      & n4 = sum(n3,n1)
      & succ(n3) = n4
      & n0 != n16
      & n19 = sum(n5,n14)
      & n14 = sum(n2,n12)
      & n8 = sum(n6,n2)
      & n9 = sum(n16,n14)
      & n3 != n12
      & n2 = sum(n2,n0)
      & n4 = sum(n13,n12)
      & n5 != n15
      & n9 = sum(n1,n8)
      & sum(sum(pred(X78),succ(X42)),sum(pred(X42),succ(X78))) = X27
      & n12 = sum(n18,n15)
      & succ(n16) = n17
      & n14 != n17
      & n18 = sum(n8,n10)
      & n10 = sum(n15,n16)
      & n11 = sum(n11,n0)
      & sum(pred(X64),sum(succ(X35),sum(pred(X72),succ(X23)))) = X76
      & n2 != n5
      & n0 != n9
      & n10 = sum(n16,n15)
      & n10 = sum(n11,n20)
      & n1 = sum(n14,n8)
      & n6 != n17
      & n15 != n19
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X65))))))))))))))))))))) = X0
      & n6 = sum(n12,n15)
      & n6 = sum(n16,n11)
      & sum(pred(X48),sum(succ(X74),sum(pred(X31),succ(X84)))) = X15
      & n20 = sum(n20,n0)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X47))))))))))))))))))))) = X43
      & sum(pred(X16),sum(succ(X33),sum(pred(X91),succ(X45)))) = X54
      & n8 = sum(n3,n5)
      & n17 = sum(n4,n13)
      & n8 != n11
      & n1 != n12
      & n4 = sum(n16,n9)
      & n4 != n8
      & n3 = sum(n11,n13)
      & n9 = sum(n4,n5)
      & n15 != n17
      & n1 = sum(n15,n7)
      & n14 = sum(n17,n18)
      & n5 = sum(n14,n12)
      & n17 = sum(n19,n19)
      & n9 = sum(n18,n12)
      & sum(pred(X49),sum(succ(X6),sum(pred(X79),succ(X1)))) = X42
      & n14 = sum(n12,n2)
      & sum(sum(pred(X83),succ(X21)),sum(pred(X21),succ(X83))) = X80
      & sum(sum(pred(X30),succ(X10)),sum(pred(X10),succ(X30))) = X2
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X20))))))))))))))))))))) = X18
      & succ(n13) = n14
      & sum(sum(pred(X12),succ(X5)),sum(pred(X5),succ(X12))) = X38
      & n13 = sum(n2,n11)
      & n16 = sum(n10,n6)
      & n1 = sum(n16,n6)
      & n8 != n16
      & n9 != n10
      & n15 = sum(n20,n16)
      & n1 != n16
      & n8 != n20
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X65))))))))))))))))))))) = X55
      & n11 = sum(n8,n3)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X56))))))))))))))))))))) = X79
      & n12 = pred(n13)
      & n12 = sum(n6,n6)
      & n12 = sum(n20,n13)
      & n6 != n9
      & n11 != n13
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X4))))))))))))))))))))) = X86
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X2))))))))))))))))))))) = X28
      & n8 = sum(n11,n18)
      & n17 != n18
      & n4 = sum(n2,n2)
      & n14 = sum(n9,n5)
      & n17 = sum(n3,n14)
      & n5 != n11
      & n10 = sum(n17,n14)
      & n16 = sum(n16,n0)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X15))))))))))))))))))))) = X82
      & n1 = sum(n2,n20)
      & n9 = sum(n8,n1)
      & n16 = sum(n13,n3)
      & n4 = sum(n15,n10)
      & n14 = sum(n4,n10)
      & n3 = sum(n17,n7)
      & n8 != n18
      & n10 = sum(n14,n17)
      & n3 = sum(n3,n0)
      & n9 = sum(n15,n15)
      & n20 = sum(n0,n20)
      & n6 != n12
      & succ(n5) = n6
      & n5 = sum(n19,n7)
      & n8 = sum(n7,n1)
      & n2 = sum(n4,n19)
      & n6 = sum(n2,n4)
      & n3 = sum(n13,n11)
      & n0 != n18
      & n7 = sum(n9,n19)
      & n15 != n16
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X80))))))))))))))))))))) = X16
      & n3 = sum(n9,n15)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X56))))))))))))))))))))) = X1
      & sum(sum(pred(X38),succ(X90)),sum(pred(X90),succ(X38))) = X34
      & n7 = sum(n7,n0)
      & n2 != n6
      & n18 = sum(n20,n19)
      & n0 != n15
      & n3 != n18
      & n2 = sum(n5,n18)
      & n4 = sum(n4,n0)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X30))))))))))))))))))))) = X13
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X21))))))))))))))))))))) = X23
      & n1 = sum(n3,n19)
      & succ(n9) = n10
      & n5 = sum(n12,n14)
      & sum(pred(X67),sum(succ(X40),sum(pred(X50),succ(X89)))) = X85
      & n14 != n19
      & n13 = sum(n16,n18)
      & n5 != n18
      & n4 != n20
      & n16 = sum(n8,n8)
      & n4 != n5
      & n3 != n16
      & n0 = sum(n1,n20)
      & n10 != n11
      & n15 = pred(n16)
      & n1 = sum(n10,n12)
      & n7 != n15
      & n10 != n13
      & n13 = sum(n19,n15)
      & n9 = sum(n14,n16)
      & n18 = sum(n0,n18)
      & n9 = sum(n12,n18)
      & n18 = sum(n9,n9)
      & n14 = sum(n8,n6)
      & n15 = sum(n19,n17)
      & sum(sum(pred(X66),succ(X20)),sum(pred(X20),succ(X66))) = X32
      & n15 = sum(n8,n7)
      & n10 = sum(n2,n8)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X52))))))))))))))))))))) = X59
      & n11 = sum(n2,n9)
      & n8 = sum(n9,n20)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X9))))))))))))))))))))) = X48
      & n2 != n11
      & n17 = sum(n5,n12)
      & n6 = sum(n0,n6)
      & n2 = sum(n10,n13)
      & n4 != n16
      & n17 = sum(n18,n20)
      & n20 = sum(n15,n5)
      & n20 = sum(n13,n7)
      & n16 = sum(n9,n7)
      & n18 = sum(n1,n17)
      & n5 = sum(n16,n10)
      & n5 = sum(n18,n8)
      & n15 = sum(n12,n3)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X5))))))))))))))))))))) = X73
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X52))))))))))))))))))))) = X36
      & n3 = sum(n14,n10)
      & n11 != n12
      & n6 = sum(n11,n16)
      & n13 = sum(n9,n4)
      & n16 = sum(n14,n2)
      & n10 != n17
      & n7 = sum(n20,n8)
      & n6 = sum(n17,n10)
      & n10 = sum(n9,n1)
      & n2 = sum(n1,n1)
      & n16 != n19
      & n4 = sum(n11,n14)
      & n12 != n15
      & n16 = sum(n1,n15)
      & n0 = sum(n15,n6)
      & n19 = sum(n4,n15)
      & n3 = sum(n19,n5)
      & n0 = sum(n18,n3)
      & n9 != n19
      & n13 != n19
      & n15 = sum(n10,n5)
      & n5 != n9
      & n11 != n15
      & sum(pred(X8),sum(succ(X75),sum(pred(X24),succ(X11)))) = X26
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X46))))))))))))))))))))) = X88
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X2))))))))))))))))))))) = X70
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X26))))))))))))))))))))) = X68
      & succ(n2) = n3
      & n16 = sum(n2,n14)
      & n2 = sum(n20,n3)
      & n12 = sum(n11,n1)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X17))))))))))))))))))))) = X7
      & n19 = sum(n18,n1)
      & n6 != n13
      & n19 = sum(n6,n13)
      & n4 = sum(n0,n4)
      & n11 != n18
      & n13 = sum(n18,n16)
      & n4 = sum(n1,n3)
      & n10 = sum(n20,n11)
      & n0 = sum(n8,n13)
      & n17 = sum(n1,n16)
      & n2 != n3
      & n3 = sum(n16,n8)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X41))))))))))))))))))))) = X75
      & n11 = sum(n1,n10)
      & n12 = sum(n7,n5)
      & n16 = sum(n3,n13)
      & n6 != n19
      & n3 != n9
      & n7 = sum(n15,n13)
      & n3 != n19
      & n1 = sum(n13,n9)
      & sum(sum(pred(X46),succ(X15)),sum(pred(X15),succ(X46))) = X52
      & succ(n11) = n12
      & n18 != n20
      & n2 = sum(n14,n9)
      & n5 != n8
      & n20 = sum(n11,n9)
      & n19 = sum(n17,n2)
      & n14 = sum(n1,n13)
      & n15 = sum(n3,n12)
      & n11 = sum(n12,n20)
      & n10 != n12
      & n15 = sum(n5,n10)
      & n17 = sum(n0,n17)
      & sum(pred(X0),sum(succ(X55),sum(pred(X39),succ(X68)))) = X10
      & n1 = sum(n6,n16)
      & n1 = sum(n9,n13)
      & n5 != n19
      & n15 = sum(n1,n14)
      & n3 = sum(n4,n20)
      & n17 = sum(n16,n1)
      & n1 != n11
      & n14 = sum(n0,n14)
      & succ(n7) = n8
      & n15 = sum(n14,n1)
      & n4 != n12
      & n19 != n20
      & n15 = sum(n2,n13)
      & n17 = sum(n13,n4)
      & n14 = sum(n15,n20)
      & n4 = sum(n19,n6)
      & n3 = sum(n6,n18)
      & n15 = sum(n0,n15)
      & n3 = sum(n18,n6)
      & n20 = sum(n18,n2)
      & n9 = sum(n7,n2)
      & n3 != n11
      & n5 = sum(n7,n19)
      & n0 != n14
      & n20 = sum(n17,n3)
      & n1 != n5
      & n12 = sum(n16,n17)
      & n0 != n12
      & n16 = sum(n7,n9)
      & n17 = sum(n12,n5)
      & n6 != n8
      & n20 = sum(n7,n13)
      & n10 = sum(n7,n3)
      & n5 = sum(n2,n3)
      & n11 = sum(n14,n18)
      & n4 = sum(n5,n20)
      & succ(n8) = n9
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X46))))))))))))))))))))) = X63
      & n5 = sum(n11,n15)
      & n7 = sum(n12,n16)
      & n9 = sum(n5,n4)
      & n3 = sum(n10,n14)
      & n18 = sum(n12,n6)
      & n9 = sum(n20,n10)
      & succ(n0) = n1
      & n11 = sum(n15,n17)
      & n12 != n20
      & n8 = sum(n4,n4)
      & n8 != n14
      & n4 = sum(n9,n16)
      & n16 = sum(n15,n1)
      & n20 = sum(n14,n6)
      & n19 = sum(n15,n4)
      & sum(pred(X53),sum(succ(X60),sum(pred(X73),succ(X51)))) = X90
      & ( n17 = X21
        | n1 = X21
        | n11 = X21
        | n5 = X21
        | n0 = X21
        | n12 = X21
        | n4 = X21
        | n14 = X21
        | n7 = X21
        | n3 = X21
        | n18 = X21
        | n8 = X21
        | n15 = X21
        | n19 = X21
        | n16 = X21
        | n10 = X21
        | n6 = X21
        | n2 = X21
        | n20 = X21
        | n13 = X21
        | n9 = X21 )
      & n13 = sum(n10,n3)
      & n7 = sum(n5,n2)
      & n4 != n17
      & n1 = sum(n12,n10)
      & n13 = sum(n0,n13)
      & n10 != n15
      & n16 = sum(n20,n17)
      & n8 = sum(n20,n9)
      & n4 = sum(n17,n8)
      & n8 = sum(n5,n3)
      & n14 = sum(n5,n9)
      & sum(sum(pred(X34),succ(X47)),sum(pred(X47),succ(X34))) = X66
      & n8 = sum(n0,n8)
      & n4 != n18
      & n6 = sum(n1,n5)
      & n12 = sum(n10,n2)
      & n9 = sum(n0,n9)
      & n0 = sum(n12,n9)
      & n11 = sum(n16,n16)
      & n6 != n16
      & n11 = sum(n17,n15)
      & n10 = sum(n3,n7)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X4))))))))))))))))))))) = X77
      & n1 = sum(n11,n11)
      & n12 = sum(n13,n20)
      & n10 = sum(n13,n18)
      & n0 != n20
      & n2 = sum(n7,n16)
      & n3 = sum(n8,n16)
      & n3 = sum(n15,n9)
      & n0 = sum(n10,n11)
      & n14 = sum(n3,n11)
      & sum(pred(X59),sum(succ(X36),sum(pred(X86),succ(X77)))) = X81
      & n11 != n14
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X38))))))))))))))))))))) = X29
      & n0 = sum(n13,n8)
      & n1 = sum(n20,n2)
      & n5 = sum(n8,n18)
      & n13 = sum(n20,n14)
      & n12 = sum(n17,n16)
      & n15 != n18
      & n12 = sum(n1,n11)
      & n11 = sum(n18,n14)
      & n20 = sum(n12,n8)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X34))))))))))))))))))))) = X14
      & sum(sum(pred(X32),succ(X56)),sum(pred(X56),succ(X32))) = X78
      & n2 != n12
      & n4 != n13
      & n8 = sum(n18,n11)
      & n5 = sum(n0,n5)
      & n5 = pred(n6)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X78))))))))))))))))))))) = X40
      & n8 != n10
      & n10 != n14
      & n20 = sum(n19,n1)
      & n3 != n13
      & n2 = sum(n13,n10)
      & n5 = sum(n15,n11)
      & n18 = sum(n5,n13)
      & n6 = sum(n9,n18)
      & n18 = sum(n11,n7)
      & n3 != n4
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X83))))))))))))))))))))) = X64
      & sum(sum(pred(X9),succ(X54)),sum(pred(X54),succ(X9))) = X46
      & n1 != n8
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X47))))))))))))))))))))) = X71
      & n1 != n20
      & n17 = sum(n8,n9)
      & n4 = sum(n10,n15)
      & n5 = sum(n20,n6)
      & n15 = sum(n9,n6)
      & n3 = sum(n1,n2)
      & n8 = sum(n16,n13)
      & n1 != n10
      & n12 = sum(n0,n12)
      & n2 != n16
      & n11 != n17
      & n6 = sum(n4,n2)
      & n6 != n10
      & sum(sum(pred(X2),succ(X17)),sum(pred(X17),succ(X2))) = X12
      & n1 != n3
      & n12 != n18
      & n5 = sum(n6,n20)
      & n9 = sum(n2,n7)
      & n12 = sum(n3,n9)
      & n17 = sum(n6,n11)
      & n13 = sum(n14,n20)
      & n19 = sum(n8,n11)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X54))))))))))))))))))))) = X84
      & n0 != n2
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X66))))))))))))))))))))) = X61
      & n15 = sum(n6,n9)
      & n10 = sum(n1,n9)
      & n5 != n14
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X5))))))))))))))))))))) = X51
      & n6 = sum(n19,n8)
      & n7 = sum(n11,n17)
      & n19 = sum(n12,n7)
      & n1 = sum(n17,n5)
      & n2 = sum(n3,n20)
      & n10 = sum(n12,n19)
      & n9 = pred(n10)
      & n14 = sum(n7,n7)
      & n0 != n11
      & n1 != n19
      & sum(pred(X61),sum(succ(X25),sum(pred(X3),succ(X18)))) = X56
      & n10 = sum(n6,n4)
      & n20 = sum(n10,n10)
      & n5 = sum(n4,n1)
      & n2 != n10
      & n2 != n17
      & n8 = sum(n8,n0)
      & n20 = sum(n8,n12)
      & n7 = sum(n0,n7)
      & n7 != n19
      & n3 != n7
      & n2 = sum(n16,n7)
      & n9 != n16
      & n13 != n15
      & n0 = sum(n19,n2)
      & n13 != n18
      & n14 = sum(n14,n0)
      & n19 = sum(n10,n9)
      & n2 != n15
      & sum(sum(pred(X52),succ(X4)),sum(pred(X4),succ(X52))) = X41
      & n7 = sum(n10,n18)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X10))))))))))))))))))))) = X87
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X17))))))))))))))))))))) = X57
      & n6 != n14
      & n4 = sum(n12,n13)
      & n17 = sum(n11,n6)
      & n5 = sum(n10,n16)
      & n2 = sum(n6,n17)
      & n20 = sum(n4,n16)
      & n16 = sum(n6,n10)
      & n7 = sum(n19,n9)
      & sum(pred(X44),sum(succ(X29),sum(pred(X69),succ(X62)))) = X47
      & n17 = sum(n2,n15)
      & n20 = sum(n2,n18)
      & n2 = sum(n19,n4)
      & n3 = sum(n20,n4)
      & n18 = sum(n7,n11)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X90))))))))))))))))))))) = X62
      & n0 != n3
      & n7 != n8
      & n8 = sum(n13,n16)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X78))))))))))))))))))))) = X67
      & n12 != n19
      & n1 = pred(n2)
      & n16 = sum(n11,n5)
      & n9 != n12
      & n20 = pred(n0)
      & n2 != n9
      & n13 = sum(n11,n2)
      & n17 = pred(n18)
      & n8 = sum(n2,n6)
      & n14 = sum(n10,n4)
      & n10 = sum(n19,n12)
      & n18 = sum(n3,n15)
      & n13 = sum(n1,n12)
      & n2 = sum(n9,n14)
      & n1 != n18
      & ( n17 = X83
        | n8 = X83
        | n20 = X83
        | n6 = X83
        | n9 = X83
        | n7 = X83
        | n18 = X83
        | n19 = X83
        | n10 = X83
        | n15 = X83
        | n13 = X83
        | n11 = X83
        | n14 = X83
        | n3 = X83
        | n1 = X83
        | n16 = X83
        | n0 = X83
        | n5 = X83
        | n2 = X83
        | n12 = X83
        | n4 = X83 )
      & n7 = sum(n4,n3)
      & n18 = pred(n19)
      & n5 != n7
      & n14 = sum(n6,n8)
      & n15 = sum(n13,n2)
      & n0 = succ(n20)
      & n18 = sum(n10,n8)
      & n1 != n7
      & n6 = sum(n13,n14)
      & n13 = pred(n14)
      & n2 != n19
      & n11 != n16
      & n16 = sum(n5,n11)
      & n0 = sum(n2,n19)
      & n0 = sum(n3,n18)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X34))))))))))))))))))))) = X37
      & n3 != n17
      & n1 = sum(n7,n15)
      & n20 = sum(n1,n19)
      & n20 = sum(n3,n17)
      & sum(pred(X14),sum(succ(X37),sum(pred(X43),succ(X71)))) = X20
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X30))))))))))))))))))))) = X22
      & n5 != n10
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X42))))))))))))))))))))) = X50
      & n1 = sum(n8,n14)
      & n6 = sum(n6,n0)
      & n0 != n6
      & n8 = sum(n10,n19)
      & n3 != n6
      & n9 = sum(n19,n11)
      & n3 = sum(n7,n17)
      & n8 != n19
      & n14 != n18
      & n11 = sum(n10,n1)
      & n0 != n8
      & n6 != n15
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X76))))))))))))))))))))) = X91
      & n8 != n12
      & n19 = sum(n14,n5)
      & n18 = sum(n13,n5)
      & n7 != n13
      & n13 = sum(n13,n0)
      & n0 = pred(n1)
      & n15 = sum(n7,n8)
      & n13 = sum(n17,n17)
      & n11 = sum(n6,n5)
      & n19 = sum(n7,n12)
      & n6 = sum(n8,n19)
      & n6 != n20
      & n8 != n9
      & n11 = sum(n4,n7)
      & n4 = sum(n20,n5)
      & n12 = sum(n19,n14)
      & n1 != n14
      & n10 != n16
      & n11 = sum(n3,n8)
      & n2 = sum(n11,n12)
      & n5 = sum(n5,n0)
      & n5 != n17
      & n5 = sum(n9,n17)
      & n12 = sum(n12,n0)
      & n1 = sum(n19,n3)
      & n18 = sum(n6,n12)
      & n9 = sum(n13,n17)
      & n15 != n20
      & sum(sum(pred(X80),succ(X76)),sum(pred(X76),succ(X80))) = X9
      & ( X27 != X85
        | X32 != X56
        | X42 != X78
        | X20 != X66 )
      & n13 = sum(n15,n19)
      & n4 != n7
      & n9 != n17
      & n0 = sum(n16,n5)
      & n6 = sum(n10,n17)
      & n12 = sum(n2,n10)
      & n13 = sum(n3,n10)
      & n13 != n20
      & n16 = sum(n12,n4)
      & n6 != n7
      & n2 = sum(n18,n5)
      & n2 = sum(n12,n11)
      & n19 = sum(n9,n10)
      & n7 = sum(n2,n5)
      & n7 = sum(n3,n4)
      & n3 = sum(n0,n3)
      & n4 = sum(n18,n7)
      & n9 != n15
      & n0 = sum(n7,n14)
      & n12 = sum(n15,n18)
      & n18 = sum(n18,n0)
      & n14 = sum(n19,n16)
      & n19 = sum(n16,n3)
      & n13 = sum(n5,n8)
      & n11 = sum(n0,n11)
      & n9 = sum(n6,n3)
      & n7 != n16
      & n7 = pred(n8)
      & n8 = sum(n15,n14)
      & n18 != n19
      & n6 = sum(n5,n1)
      & n7 != n12
      & n10 != n20
      & n14 = sum(n20,n15)
      & n12 = sum(n9,n3)
      & n3 != n8
      & n2 = sum(n17,n6)
      & n2 != n14
      & n8 = pred(n9)
      & n5 = sum(n3,n2)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X42))))))))))))))))))))) = X89
      & n11 = sum(n7,n4)
      & n16 = sum(n17,n20)
      & n13 != n17
      & n17 != n19
      & n4 = pred(n5)
      & n0 = sum(n17,n4)
      & n9 = sum(n9,n0)
      & n18 = sum(n16,n2)
      & n4 = sum(n14,n11)
      & n2 != n4
      & n16 != n20
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X81))))))))))))))))))))) = X24
      & n2 != n8
      & n4 != n6
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X12))))))))))))))))))))) = X53
      & n4 = sum(n7,n18)
      & n14 = pred(n15)
      & n0 = sum(n14,n7)
      & n7 = sum(n6,n1)
      & n11 = sum(n5,n6)
      & n12 != n14
      & succ(n17) = n18
      & n5 != n16
      & n0 = sum(n9,n12)
      & n7 = sum(n16,n12)
      & n7 != n14
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X10))))))))))))))))))))) = X19
      & n19 = sum(n0,n19)
      & n7 = sum(n13,n15)
      & n18 = sum(n15,n3)
      & n8 = sum(n19,n10)
      & n9 != n11
      & n7 = sum(n17,n11)
      & n0 != n5
      & n15 = sum(n11,n4)
      & n4 = sum(n8,n17)
      & n6 != n18
      & n3 != n15
      & n7 != n18
      & n1 != n17
      & n20 = sum(n9,n11)
      & n1 != n15
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X32))))))))))))))))))))) = X49
      & n4 != n11
      & n4 != n14
      & n3 = sum(n5,n19)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X83))))))))))))))))))))) = X35
      & n12 = sum(n14,n19)
      & n3 != n14
      & n11 = sum(n9,n2)
      & n2 != n7
      & n2 = sum(n15,n8)
      & n20 = sum(n6,n14)
      & n9 != n20
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X26))))))))))))))))))))) = X39
      & n10 = sum(n0,n10)
      & n7 != n10
      & n12 != n16
      & succ(n14) = n15
      & n9 != n18
      & succ(n19) = n20
      & n10 != n18
      & n3 = pred(n4)
      & n17 = sum(n10,n7)
      & n14 != n16
      & n4 != n9
      & n17 != n20
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X66))))))))))))))))))))) = X25
      & sum(pred(X13),sum(succ(X22),sum(pred(X87),succ(X19)))) = X17
      & n12 != n13
      & n0 != n13
      & n0 = sum(n11,n10)
      & n5 != n12
      & n14 = sum(n13,n1)
      & succ(n6) = n7
      & n19 = sum(n2,n17)
      & n9 = sum(n11,n19)
      & n8 != n15
      & n2 = sum(n0,n2)
      & n19 = sum(n1,n18)
      & n7 != n9
      & n3 != n5
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X21))))))))))))))))))))) = X72
      & n15 = sum(n15,n0)
      & n0 != n1
      & n13 = sum(n4,n9)
      & n14 = sum(n11,n3)
      & n5 = sum(n13,n13)
      & n18 = sum(n2,n16)
      & succ(n18) = n19
      & n8 != n13
      & n4 != n15
      & n6 = sum(n15,n12)
      & n1 = sum(n0,n1)
      & n8 = sum(n17,n12)
      & n5 = sum(n17,n9)
      & n2 != n13
      & n6 != n11
      & n17 = sum(n17,n0)
      & n15 = sum(n17,n19)
      & n11 = sum(n19,n13)
      & n19 = sum(n19,n0)
      & n19 = sum(n11,n8)
      & n18 = sum(n4,n14)
      & n7 != n11
      & n17 = sum(n9,n8)
      & n0 = sum(n6,n15)
      & n19 = sum(n3,n16)
      & n1 = sum(n1,n0)
      & n14 = sum(n18,n17)
      & n4 != n10
      & succ(n4) = n5
      & n19 = sum(n20,n20)
      & n18 = sum(n19,n20)
      & n15 = sum(n4,n11)
      & n14 != n20
      & n12 != n17
      & n1 != n9
      & n6 = sum(n3,n3)
      & n1 != n13
      & n13 = sum(n12,n1)
      & n11 = sum(n20,n12)
      & n15 = sum(n16,n20)
      & n2 = pred(n3) ),
    inference(rectify,[],[f1]) ).

fof(f1,axiom,
    ? [X58,X85,X16,X83,X9,X19,X84,X65,X54,X4,X15,X53,X18,X62,X78,X7,X38,X17,X81,X61,X25,X1,X60,X33,X55,X80,X13,X30,X64,X72,X14,X43,X26,X36,X22,X32,X48,X76,X20,X59,X88,X10,X29,X79,X74,X37,X6,X23,X42,X86,X91,X69,X8,X70,X5,X56,X27,X67,X47,X50,X68,X82,X73,X46,X34,X12,X24,X90,X57,X75,X66,X77,X35,X71,X40,X52,X3,X49,X28,X87,X2,X11,X45,X0,X41,X31,X51,X63,X44,X89,X21,X39] :
      ( n0 = sum(n12,n9)
      & n16 = sum(n6,n10)
      & n1 = sum(n0,n1)
      & n4 != n5
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X22))))))))))))))))))))) = X78
      & n15 != n20
      & n2 = sum(n15,n8)
      & n9 = sum(n13,n17)
      & n17 = sum(n9,n8)
      & n18 = pred(n19)
      & n15 = sum(n6,n9)
      & sum(pred(X42),sum(succ(X40),sum(pred(X43),succ(X41)))) = X7
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X26))))))))))))))))))))) = X86
      & sum(pred(X82),sum(succ(X80),sum(pred(X83),succ(X81)))) = X27
      & n8 != n19
      & succ(n4) = n5
      & n14 != n15
      & n9 != n14
      & n15 = sum(n7,n8)
      & n0 != n17
      & n0 = sum(n13,n8)
      & n20 = sum(n2,n18)
      & n11 = sum(n11,n0)
      & n17 = pred(n18)
      & n1 = sum(n18,n4)
      & n16 = sum(n10,n6)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X29))))))))))))))))))))) = X91
      & n13 = sum(n15,n19)
      & succ(n14) = n15
      & n16 = sum(n11,n5)
      & n1 = sum(n9,n13)
      & n5 = sum(n16,n10)
      & n0 != n8
      & n10 = pred(n11)
      & n2 != n3
      & n2 = sum(n8,n15)
      & succ(n0) = n1
      & n12 != n13
      & sum(pred(X38),sum(succ(X36),sum(pred(X39),succ(X37)))) = X5
      & n15 != n17
      & n15 = sum(n9,n6)
      & n17 = sum(n6,n11)
      & n7 = sum(n0,n7)
      & n2 = sum(n6,n17)
      & sum(sum(pred(X2),succ(X3)),sum(pred(X3),succ(X2))) = X4
      & n16 = sum(n19,n18)
      & n6 != n10
      & n7 = sum(n6,n1)
      & n6 != n18
      & n4 != n8
      & n5 != n8
      & n3 = sum(n5,n19)
      & n1 = sum(n20,n2)
      & n18 = sum(n18,n0)
      & sum(pred(X62),sum(succ(X60),sum(pred(X63),succ(X61)))) = X17
      & n6 != n9
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X7))))))))))))))))))))) = X45
      & n1 = sum(n6,n16)
      & n11 != n14
      & n20 = sum(n20,n0)
      & n14 = pred(n15)
      & n12 != n14
      & n17 = sum(n14,n3)
      & n12 != n19
      & succ(n10) = n11
      & n18 = sum(n6,n12)
      & n0 = sum(n1,n20)
      & n1 = pred(n2)
      & n0 != n6
      & n4 = pred(n5)
      & n7 = sum(n20,n8)
      & n19 = sum(n10,n9)
      & n16 = sum(n20,n17)
      & n1 != n3
      & n1 != n12
      & n0 != n1
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X6))))))))))))))))))))) = X46
      & n3 = sum(n13,n11)
      & n0 = sum(n19,n2)
      & n1 = sum(n16,n6)
      & n4 = sum(n10,n15)
      & n3 = sum(n10,n14)
      & n8 = sum(n3,n5)
      & n5 = sum(n12,n14)
      & n3 = sum(n6,n18)
      & n15 = sum(n20,n16)
      & n4 != n19
      & n14 = sum(n17,n18)
      & n6 = sum(n17,n10)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X2))))))))))))))))))))) = X36
      & n20 = sum(n10,n10)
      & n17 = sum(n11,n6)
      & n10 = sum(n14,n17)
      & n11 = sum(n17,n15)
      & n3 != n19
      & n6 != n12
      & n7 = sum(n17,n11)
      & n18 = sum(n7,n11)
      & n3 = sum(n3,n0)
      & n9 = sum(n9,n0)
      & n0 = sum(n14,n7)
      & n8 != n16
      & n5 = sum(n19,n7)
      & n6 != n11
      & n8 != n20
      & succ(n7) = n8
      & n0 = sum(n7,n14)
      & n19 = sum(n12,n7)
      & n0 != n14
      & n2 != n18
      & n6 = sum(n19,n8)
      & n2 = sum(n5,n18)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X8))))))))))))))))))))) = X50
      & n10 = sum(n7,n3)
      & succ(n17) = n18
      & n3 != n14
      & n5 = sum(n5,n0)
      & n0 != n19
      & n2 != n5
      & n18 = sum(n3,n15)
      & succ(n5) = n6
      & n12 = sum(n14,n19)
      & n6 = sum(n18,n9)
      & n1 = sum(n2,n20)
      & n5 != n17
      & n10 != n11
      & n16 = sum(n15,n1)
      & n1 != n14
      & n5 != n19
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X15))))))))))))))))))))) = X61
      & n14 = sum(n16,n19)
      & n13 != n17
      & n5 != n20
      & n19 = sum(n0,n19)
      & ( X24 != X25
        | X30 != X31
        | X26 != X27
        | X28 != X29 )
      & n8 = sum(n5,n3)
      & n20 = sum(n9,n11)
      & n12 = sum(n9,n3)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X9))))))))))))))))))))) = X49
      & n11 = sum(n10,n1)
      & n3 != n18
      & n6 = sum(n0,n6)
      & n3 != n5
      & n8 != n12
      & n0 = sum(n2,n19)
      & n13 = sum(n5,n8)
      & n18 = sum(n14,n4)
      & n13 = sum(n6,n7)
      & n17 = sum(n16,n1)
      & n4 = sum(n8,n17)
      & n14 = sum(n2,n12)
      & n0 = pred(n1)
      & n12 = sum(n19,n14)
      & succ(n11) = n12
      & n13 = sum(n2,n11)
      & n16 != n19
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X3))))))))))))))))))))) = X39
      & sum(pred(X46),sum(succ(X44),sum(pred(X47),succ(X45)))) = X9
      & ( n3 = X1
        | n5 = X1
        | n0 = X1
        | n13 = X1
        | n9 = X1
        | n17 = X1
        | n8 = X1
        | n19 = X1
        | n20 = X1
        | n10 = X1
        | n16 = X1
        | n4 = X1
        | n1 = X1
        | n2 = X1
        | n6 = X1
        | n7 = X1
        | n15 = X1
        | n14 = X1
        | n18 = X1
        | n11 = X1
        | n12 = X1 )
      & n8 = sum(n18,n11)
      & n1 = sum(n14,n8)
      & n12 = sum(n20,n13)
      & n19 = sum(n14,n5)
      & n3 != n9
      & n8 != n14
      & n8 = sum(n1,n7)
      & n9 = sum(n14,n16)
      & n12 = sum(n10,n2)
      & n16 != n17
      & n5 = sum(n13,n13)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X19))))))))))))))))))))) = X71
      & sum(pred(X50),sum(succ(X48),sum(pred(X51),succ(X49)))) = X11
      & n5 = sum(n11,n15)
      & n10 = sum(n8,n2)
      & n8 = sum(n10,n19)
      & n2 = sum(n20,n3)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X24))))))))))))))))))))) = X82
      & n11 = sum(n4,n7)
      & n8 = sum(n14,n15)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X10))))))))))))))))))))) = X52
      & n10 != n18
      & n13 != n16
      & n15 = sum(n14,n1)
      & n8 = sum(n0,n8)
      & n9 = sum(n1,n8)
      & n7 = sum(n7,n0)
      & n17 = sum(n7,n10)
      & n0 = sum(n18,n3)
      & n2 != n13
      & n7 = sum(n2,n5)
      & n11 = sum(n0,n11)
      & n11 = sum(n6,n5)
      & n20 = sum(n14,n6)
      & n15 = sum(n5,n10)
      & succ(n16) = n17
      & n18 = sum(n13,n5)
      & n10 = sum(n2,n8)
      & n0 != n5
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X15))))))))))))))))))))) = X63
      & n3 = sum(n7,n17)
      & n7 != n19
      & n4 = sum(n14,n11)
      & n0 != n4
      & n7 != n12
      & n5 != n6
      & n7 = sum(n16,n12)
      & sum(pred(X54),sum(succ(X52),sum(pred(X55),succ(X53)))) = X13
      & n1 != n18
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X27))))))))))))))))))))) = X87
      & n7 = sum(n13,n15)
      & n8 = sum(n17,n12)
      & n7 = sum(n8,n20)
      & n6 = sum(n4,n2)
      & n5 = sum(n14,n12)
      & n13 = sum(n18,n16)
      & n18 = sum(n12,n6)
      & n11 = sum(n14,n18)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X18))))))))))))))))))))) = X70
      & n9 = sum(n15,n15)
      & n13 = sum(n12,n1)
      & n10 != n17
      & n10 = sum(n20,n11)
      & n1 != n7
      & n8 != n11
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X0))))))))))))))))))))) = X34
      & n2 = sum(n14,n9)
      & n7 != n11
      & n13 = sum(n3,n10)
      & n14 = sum(n10,n4)
      & n20 = sum(n11,n9)
      & succ(n18) = n19
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X22))))))))))))))))))))) = X76
      & n5 != n18
      & n18 = sum(n4,n14)
      & n16 = sum(n1,n15)
      & n12 = sum(n5,n7)
      & n19 = sum(n17,n2)
      & n5 = sum(n7,n19)
      & n9 = sum(n19,n11)
      & n10 = sum(n3,n7)
      & n17 = sum(n17,n0)
      & n14 = sum(n1,n13)
      & n4 = sum(n5,n20)
      & n2 != n14
      & n11 != n15
      & n13 = sum(n13,n0)
      & n5 = sum(n0,n5)
      & n17 = sum(n13,n4)
      & n15 = sum(n1,n14)
      & sum(pred(X58),sum(succ(X56),sum(pred(X59),succ(X57)))) = X15
      & n19 = sum(n11,n8)
      & n18 != n19
      & n15 = sum(n0,n15)
      & n6 != n19
      & n9 = sum(n5,n4)
      & n19 != n20
      & n4 = sum(n1,n3)
      & n19 = sum(n4,n15)
      & n7 = sum(n15,n13)
      & n3 != n12
      & n3 = sum(n4,n20)
      & n11 != n16
      & n1 = sum(n11,n11)
      & n14 != n17
      & sum(sum(pred(X16),succ(X17)),sum(pred(X17),succ(X16))) = X18
      & n18 = sum(n8,n10)
      & n16 = sum(n8,n8)
      & n16 = sum(n9,n7)
      & n20 = sum(n12,n8)
      & n13 = sum(n4,n9)
      & n15 = sum(n17,n19)
      & n8 = sum(n9,n20)
      & n1 = sum(n5,n17)
      & n10 = sum(n6,n4)
      & n7 != n16
      & n2 != n12
      & n11 != n17
      & n0 != n11
      & n16 = sum(n3,n13)
      & n6 = sum(n16,n11)
      & n3 = sum(n19,n5)
      & n4 != n9
      & n4 = sum(n16,n9)
      & n2 = sum(n13,n10)
      & n8 = sum(n8,n0)
      & n9 = sum(n2,n7)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X5))))))))))))))))))))) = X41
      & n6 = sum(n8,n19)
      & sum(sum(pred(X28),succ(X29)),sum(pred(X29),succ(X28))) = X30
      & n12 = sum(n11,n1)
      & n6 = sum(n5,n1)
      & n0 = sum(n6,n15)
      & n19 = pred(n20)
      & n0 != n9
      & n16 = sum(n17,n20)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X3))))))))))))))))))))) = X37
      & n6 = sum(n11,n16)
      & n9 = sum(n18,n12)
      & n11 = sum(n9,n2)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X24))))))))))))))))))))) = X80
      & n11 = sum(n12,n20)
      & n9 = sum(n0,n9)
      & n2 = sum(n3,n20)
      & n13 = sum(n17,n17)
      & n17 = sum(n4,n13)
      & n18 = sum(n5,n13)
      & n3 = sum(n0,n3)
      & n7 != n10
      & n3 != n13
      & n1 != n10
      & n2 = sum(n2,n0)
      & n4 = sum(n3,n1)
      & n11 != n19
      & n12 != n16
      & n11 != n20
      & n16 != n20
      & n9 = sum(n17,n13)
      & n15 = sum(n15,n0)
      & n19 = sum(n18,n1)
      & n14 = sum(n0,n14)
      & n0 != n15
      & n4 != n20
      & succ(n3) = n4
      & n19 = sum(n5,n14)
      & n0 != n16
      & n10 = sum(n0,n10)
      & n20 = sum(n13,n7)
      & n17 = sum(n3,n14)
      & n2 = sum(n19,n4)
      & n6 = sum(n15,n12)
      & n0 != n12
      & n17 = sum(n15,n2)
      & n19 = sum(n9,n10)
      & n2 = pred(n3)
      & n13 != n18
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X1))))))))))))))))))))) = X33
      & sum(sum(pred(X8),succ(X9)),sum(pred(X9),succ(X8))) = X10
      & n4 = sum(n7,n18)
      & n1 = sum(n19,n3)
      & n16 = sum(n18,n19)
      & n13 = pred(n14)
      & n6 = sum(n7,n20)
      & n5 = sum(n8,n18)
      & n14 = sum(n14,n0)
      & n16 = sum(n16,n0)
      & n2 = sum(n11,n12)
      & n1 != n4
      & n9 != n12
      & n16 = sum(n2,n14)
      & n3 = sum(n16,n8)
      & succ(n9) = n10
      & n11 = sum(n16,n16)
      & n19 = sum(n8,n11)
      & n2 = sum(n0,n2)
      & n17 = sum(n5,n12)
      & sum(sum(pred(X14),succ(X15)),sum(pred(X15),succ(X14))) = X16
      & n8 = sum(n20,n9)
      & n14 = sum(n13,n1)
      & n3 != n10
      & n8 = sum(n2,n6)
      & n1 = sum(n8,n14)
      & n11 = sum(n7,n4)
      & n4 != n6
      & n0 != n2
      & n1 = sum(n4,n18)
      & n2 != n6
      & n1 != n6
      & n2 = sum(n4,n19)
      & n4 = sum(n13,n12)
      & sum(pred(X78),sum(succ(X76),sum(pred(X79),succ(X77)))) = X25
      & n5 != n10
      & n7 = sum(n5,n2)
      & n20 = sum(n6,n14)
      & n14 = sum(n15,n20)
      & n1 = sum(n10,n12)
      & n17 != n20
      & ( n19 = X0
        | n12 = X0
        | n16 = X0
        | n2 = X0
        | n15 = X0
        | n3 = X0
        | n20 = X0
        | n9 = X0
        | n11 = X0
        | n14 = X0
        | n5 = X0
        | n18 = X0
        | n17 = X0
        | n13 = X0
        | n4 = X0
        | n6 = X0
        | n0 = X0
        | n1 = X0
        | n10 = X0
        | n8 = X0
        | n7 = X0 )
      & n16 = sum(n4,n12)
      & n2 = sum(n7,n16)
      & n4 != n12
      & n12 = sum(n4,n8)
      & n17 = sum(n19,n19)
      & sum(pred(X70),sum(succ(X68),sum(pred(X71),succ(X69)))) = X21
      & n3 = sum(n15,n9)
      & n5 != n14
      & n10 = sum(n10,n0)
      & n8 = sum(n16,n13)
      & n14 = sum(n19,n16)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X21))))))))))))))))))))) = X75
      & n7 = pred(n8)
      & n5 = sum(n2,n3)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X17))))))))))))))))))))) = X67
      & sum(pred(X86),sum(succ(X84),sum(pred(X87),succ(X85)))) = X29
      & n15 = sum(n13,n2)
      & n14 = sum(n8,n6)
      & n12 != n17
      & n14 != n19
      & n13 = sum(n10,n3)
      & n5 = sum(n17,n9)
      & n19 = sum(n2,n17)
      & n4 = sum(n15,n10)
      & n12 != n20
      & n10 = sum(n9,n1)
      & n9 != n20
      & n2 = sum(n9,n14)
      & n1 = sum(n3,n19)
      & n19 = sum(n16,n3)
      & n10 != n14
      & n14 = sum(n6,n8)
      & n1 = sum(n13,n9)
      & n9 != n18
      & n17 = sum(n18,n20)
      & n10 = sum(n12,n19)
      & n5 != n15
      & n2 != n9
      & n10 != n13
      & n20 = sum(n7,n13)
      & n20 = sum(n18,n2)
      & n1 != n2
      & n0 = sum(n4,n17)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X12))))))))))))))))))))) = X56
      & n7 = sum(n11,n17)
      & n4 != n11
      & n16 = sum(n12,n4)
      & sum(pred(X34),sum(succ(X32),sum(pred(X35),succ(X33)))) = X3
      & n16 = sum(n0,n16)
      & n6 != n16
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X29))))))))))))))))))))) = X89
      & n14 = sum(n20,n15)
      & n19 = sum(n7,n12)
      & n4 = sum(n6,n19)
      & n15 = sum(n18,n18)
      & n4 = sum(n0,n4)
      & n4 = sum(n17,n8)
      & n12 = sum(n2,n10)
      & n1 != n17
      & n15 != n18
      & n1 != n15
      & n3 != n20
      & n7 = sum(n19,n9)
      & n7 = sum(n10,n18)
      & n9 = sum(n6,n3)
      & n0 != n20
      & n9 = sum(n20,n10)
      & n0 = sum(n16,n5)
      & n15 != n19
      & n7 = sum(n4,n3)
      & n15 = sum(n19,n17)
      & n3 = sum(n20,n4)
      & n14 = sum(n7,n7)
      & n0 = sum(n15,n6)
      & n0 = sum(n5,n16)
      & n18 != n20
      & n11 = sum(n2,n9)
      & n1 != n16
      & n14 != n16
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X14))))))))))))))))))))) = X62
      & n12 = pred(n13)
      & n8 != n10
      & n0 != n10
      & n6 = sum(n9,n18)
      & n6 = sum(n6,n0)
      & n18 = sum(n0,n18)
      & n18 = sum(n10,n8)
      & n15 = pred(n16)
      & n8 = sum(n15,n14)
      & n18 = sum(n17,n1)
      & n18 = sum(n1,n17)
      & n20 = sum(n17,n3)
      & n6 = sum(n2,n4)
      & n1 != n11
      & n4 = sum(n9,n16)
      & n7 != n9
      & n3 != n8
      & n10 != n20
      & n0 = sum(n10,n11)
      & n1 != n5
      & n5 = sum(n20,n6)
      & n3 = sum(n14,n10)
      & succ(n8) = n9
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X2))))))))))))))))))))) = X38
      & n12 != n15
      & n16 = sum(n7,n9)
      & n16 = sum(n5,n11)
      & n4 = sum(n4,n0)
      & sum(sum(pred(X18),succ(X19)),sum(pred(X19),succ(X18))) = X20
      & n8 = sum(n11,n18)
      & n5 = sum(n1,n4)
      & n14 = sum(n18,n17)
      & n0 = sum(n8,n13)
      & n0 != n13
      & n19 = sum(n20,n20)
      & n11 = sum(n19,n13)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X17))))))))))))))))))))) = X65
      & n9 = sum(n12,n18)
      & n5 = sum(n10,n16)
      & n5 != n13
      & n18 = sum(n2,n16)
      & n15 = sum(n8,n7)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X16))))))))))))))))))))) = X66
      & n12 = sum(n13,n20)
      & n8 != n18
      & n15 = sum(n3,n12)
      & n17 = sum(n12,n5)
      & n5 = sum(n4,n1)
      & n5 != n16
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X8))))))))))))))))))))) = X48
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X20))))))))))))))))))))) = X74
      & n3 = sum(n2,n1)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X12))))))))))))))))))))) = X58
      & n1 = sum(n1,n0)
      & n9 = sum(n8,n1)
      & n9 != n19
      & sum(pred(X74),sum(succ(X72),sum(pred(X75),succ(X73)))) = X23
      & sum(sum(pred(X4),succ(X5)),sum(pred(X5),succ(X4))) = X6
      & n4 = sum(n12,n13)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X1))))))))))))))))))))) = X35
      & n14 != n18
      & n6 != n13
      & n9 = sum(n7,n2)
      & n12 = sum(n15,n18)
      & sum(sum(pred(X0),succ(X1)),sum(pred(X1),succ(X0))) = X2
      & n10 != n12
      & n11 = sum(n3,n8)
      & n10 = sum(n11,n20)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X20))))))))))))))))))))) = X72
      & n13 = sum(n8,n5)
      & n5 = sum(n3,n2)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X26))))))))))))))))))))) = X84
      & n13 = sum(n20,n14)
      & n9 = sum(n11,n19)
      & n3 = pred(n4)
      & n5 = sum(n6,n20)
      & n3 != n11
      & sum(pred(X66),sum(succ(X64),sum(pred(X67),succ(X65)))) = X19
      & n10 != n19
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X13))))))))))))))))))))) = X59
      & n11 != n12
      & n9 = sum(n4,n5)
      & n14 = sum(n3,n11)
      & n2 != n15
      & n15 = sum(n2,n13)
      & n2 != n19
      & n14 = sum(n12,n2)
      & n20 = pred(n0)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X23))))))))))))))))))))) = X79
      & sum(sum(pred(X10),succ(X11)),sum(pred(X11),succ(X10))) = X12
      & n7 != n20
      & n4 != n16
      & n1 = sum(n15,n7)
      & n0 = succ(n20)
      & n1 != n8
      & n7 = sum(n1,n6)
      & n1 != n13
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X4))))))))))))))))))))) = X42
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X21))))))))))))))))))))) = X73
      & n13 = sum(n9,n4)
      & n2 != n8
      & n19 = sum(n1,n18)
      & n2 != n16
      & n1 != n20
      & n8 != n15
      & n2 != n10
      & n4 != n13
      & n9 != n17
      & n6 = sum(n3,n3)
      & n7 = sum(n9,n19)
      & n6 = sum(n1,n5)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X9))))))))))))))))))))) = X51
      & n9 = sum(n16,n14)
      & n9 != n15
      & n10 = sum(n1,n9)
      & n7 = sum(n3,n4)
      & succ(n19) = n20
      & n5 = sum(n9,n17)
      & n8 = sum(n6,n2)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X25))))))))))))))))))))) = X81
      & n9 != n16
      & n2 = sum(n1,n1)
      & n8 = sum(n19,n10)
      & n6 = pred(n7)
      & n0 != n7
      & n0 != n18
      & n10 = sum(n13,n18)
      & n12 = sum(n6,n6)
      & n15 != n16
      & n10 = sum(n5,n5)
      & n4 != n7
      & n8 != n17
      & n6 != n7
      & n3 != n7
      & n5 != n11
      & n5 = pred(n6)
      & n10 = sum(n15,n16)
      & n11 = sum(n5,n6)
      & n6 != n15
      & n0 = sum(n0,n0)
      & n14 != n20
      & n6 != n14
      & n4 != n18
      & n13 = sum(n0,n13)
      & n1 = sum(n12,n10)
      & n7 != n8
      & n20 = sum(n5,n15)
      & n6 = sum(n10,n17)
      & n0 = sum(n3,n18)
      & sum(sum(pred(X22),succ(X23)),sum(pred(X23),succ(X22))) = X24
      & n3 != n16
      & n17 != n18
      & n4 = sum(n11,n14)
      & n1 = sum(n17,n5)
      & n13 = sum(n16,n18)
      & n11 != n13
      & n6 = sum(n12,n15)
      & n3 != n4
      & n2 = sum(n16,n7)
      & n8 = sum(n4,n4)
      & n19 = sum(n3,n16)
      & n3 = sum(n1,n2)
      & sum(sum(pred(X24),succ(X25)),sum(pred(X25),succ(X24))) = X26
      & n5 != n9
      & n8 = pred(n9)
      & n18 = sum(n20,n19)
      & n16 = sum(n14,n2)
      & n8 = sum(n13,n16)
      & n15 = sum(n4,n11)
      & n20 = sum(n8,n12)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X7))))))))))))))))))))) = X47
      & n12 = sum(n1,n11)
      & n18 = sum(n16,n2)
      & n4 != n15
      & n4 != n14
      & n3 = sum(n9,n15)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X23))))))))))))))))))))) = X77
      & n9 = sum(n10,n20)
      & n6 != n8
      & n15 = sum(n16,n20)
      & n17 = sum(n10,n7)
      & n14 = sum(n9,n5)
      & n5 = sum(n18,n8)
      & n8 = sum(n12,n17)
      & n7 != n18
      & n4 != n17
      & n4 != n10
      & n16 = sum(n13,n3)
      & n0 = sum(n11,n10)
      & n10 = sum(n16,n15)
      & n7 = sum(n14,n14)
      & n3 = sum(n18,n6)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X25))))))))))))))))))))) = X83
      & n12 = sum(n16,n17)
      & n17 = sum(n20,n18)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X27))))))))))))))))))))) = X85
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X10))))))))))))))))))))) = X54
      & n20 = sum(n4,n16)
      & n3 != n6
      & succ(n15) = n16
      & n3 = sum(n8,n16)
      & n17 = sum(n2,n15)
      & n7 != n14
      & n4 = sum(n19,n6)
      & n20 = sum(n0,n20)
      & n18 = sum(n9,n9)
      & n12 = sum(n7,n5)
      & n2 != n17
      & n5 = sum(n15,n11)
      & n3 = sum(n12,n12)
      & succ(n2) = n3
      & n0 = sum(n20,n1)
      & n5 != n7
      & sum(pred(X90),sum(succ(X88),sum(pred(X91),succ(X89)))) = X31
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X0))))))))))))))))))))) = X32
      & n20 = sum(n19,n1)
      & n4 = sum(n20,n5)
      & n10 != n16
      & n11 = sum(n18,n14)
      & n11 = sum(n15,n17)
      & n12 != n18
      & n13 = sum(n19,n15)
      & n11 = sum(n20,n12)
      & n19 = sum(n19,n0)
      & n17 != n19
      & n7 != n15
      & n1 != n9
      & n14 = sum(n5,n9)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X13))))))))))))))))))))) = X57
      & n2 != n4
      & succ(n12) = n13
      & n13 != n14
      & n10 = sum(n18,n13)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X28))))))))))))))))))))) = X90
      & n12 = sum(n18,n15)
      & n7 = sum(n12,n16)
      & n1 != n19
      & n13 != n20
      & n3 = sum(n17,n7)
      & n8 = sum(n7,n1)
      & n16 != n18
      & n9 != n11
      & sum(sum(pred(X20),succ(X21)),sum(pred(X21),succ(X20))) = X22
      & n12 = sum(n12,n0)
      & n12 = sum(n0,n12)
      & n10 != n15
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X11))))))))))))))))))))) = X55
      & n20 = sum(n15,n5)
      & n12 = sum(n8,n4)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X5))))))))))))))))))))) = X43
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X19))))))))))))))))))))) = X69
      & n12 = sum(n17,n16)
      & n2 = sum(n18,n5)
      & sum(sum(pred(X26),succ(X27)),sum(pred(X27),succ(X26))) = X28
      & n16 = pred(n17)
      & n10 = sum(n4,n6)
      & n20 = sum(n3,n17)
      & n8 != n9
      & n0 = sum(n9,n12)
      & n10 = sum(n17,n14)
      & n1 = sum(n7,n15)
      & n2 != n20
      & n7 != n17
      & n19 = sum(n13,n6)
      & n11 = sum(n13,n19)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X18))))))))))))))))))))) = X68
      & n6 != n20
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X11))))))))))))))))))))) = X53
      & n17 = sum(n0,n17)
      & succ(n6) = n7
      & n19 = sum(n6,n13)
      & n9 != n13
      & n9 = pred(n10)
      & n7 != n13
      & n15 = sum(n10,n5)
      & n2 = sum(n12,n11)
      & n18 = sum(n11,n7)
      & n9 = sum(n3,n6)
      & n3 = sum(n11,n13)
      & n10 = sum(n19,n12)
      & n2 != n7
      & n6 != n17
      & n0 = sum(n17,n4)
      & n13 = sum(n11,n2)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X28))))))))))))))))))))) = X88
      & n8 != n13
      & n20 = sum(n16,n4)
      & n18 = sum(n19,n20)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X16))))))))))))))))))))) = X64
      & n0 != n3
      & n11 != n18
      & sum(sum(pred(X6),succ(X7)),sum(pred(X7),succ(X6))) = X8
      & succ(n1) = n2
      & n4 = sum(n18,n7)
      & n14 = sum(n4,n10)
      & n13 = sum(n1,n12)
      & n2 = sum(n10,n13)
      & n13 != n15
      & n6 = sum(n14,n13)
      & n12 = sum(n3,n9)
      & n15 = sum(n11,n4)
      & n9 != n10
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X14))))))))))))))))))))) = X60
      & n2 != n11
      & n11 = pred(n12)
      & n20 = sum(n1,n19)
      & n19 = sum(n15,n4)
      & n13 != n19
      & n6 = sum(n13,n14)
      & n7 = sum(n18,n10)
      & n18 = sum(n15,n3)
      & n11 = sum(n1,n10)
      & n15 = sum(n12,n3)
      & sum(sum(pred(X12),succ(X13)),sum(pred(X13),succ(X12))) = X14
      & n13 = sum(n14,n20)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X6))))))))))))))))))))) = X44
      & n4 = sum(n2,n2)
      & succ(n13) = n14
      & n13 = sum(n7,n6)
      & n3 != n17
      & n6 = sum(n20,n7)
      & n17 = sum(n8,n9)
      & n2 = sum(n17,n6)
      & n14 = sum(n11,n3)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X4))))))))))))))))))))) = X40
      & n11 = sum(n8,n3)
      & n3 != n15
      & n17 = sum(n1,n16)
      & n5 != n12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

fof(f4888,plain,
    ~ spl92_828,
    inference(avatar_split_clause,[],[f556,f4885]) ).

fof(f4885,plain,
    ( spl92_828
  <=> n10 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_828])]) ).

fof(f556,plain,
    n10 != n11,
    inference(cnf_transformation,[],[f5]) ).

fof(f4883,plain,
    spl92_827,
    inference(avatar_split_clause,[],[f490,f4880]) ).

fof(f4880,plain,
    ( spl92_827
  <=> n19 = sum(n18,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_827])]) ).

fof(f490,plain,
    n19 = sum(n18,n1),
    inference(cnf_transformation,[],[f5]) ).

fof(f4878,plain,
    spl92_826,
    inference(avatar_split_clause,[],[f547,f4875]) ).

fof(f4875,plain,
    ( spl92_826
  <=> n18 = sum(n9,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_826])]) ).

fof(f547,plain,
    n18 = sum(n9,n9),
    inference(cnf_transformation,[],[f5]) ).

fof(f4873,plain,
    spl92_825,
    inference(avatar_split_clause,[],[f600,f4870]) ).

fof(f4870,plain,
    ( spl92_825
  <=> n16 = sum(n13,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_825])]) ).

fof(f600,plain,
    n16 = sum(n13,n3),
    inference(cnf_transformation,[],[f5]) ).

fof(f4868,plain,
    ~ spl92_824,
    inference(avatar_split_clause,[],[f205,f4865]) ).

fof(f4865,plain,
    ( spl92_824
  <=> n14 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_824])]) ).

fof(f205,plain,
    n14 != n18,
    inference(cnf_transformation,[],[f5]) ).

fof(f4863,plain,
    spl92_823,
    inference(avatar_split_clause,[],[f611,f4860]) ).

fof(f4860,plain,
    ( spl92_823
  <=> n8 = sum(n11,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_823])]) ).

fof(f611,plain,
    n8 = sum(n11,n18),
    inference(cnf_transformation,[],[f5]) ).

fof(f4858,plain,
    spl92_822,
    inference(avatar_split_clause,[],[f214,f4855]) ).

fof(f4855,plain,
    ( spl92_822
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK25))))))))))))))))))))) = sK46 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_822])]) ).

fof(f214,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK25))))))))))))))))))))) = sK46,
    inference(cnf_transformation,[],[f5]) ).

fof(f4853,plain,
    ~ spl92_821,
    inference(avatar_split_clause,[],[f203,f4850]) ).

fof(f4850,plain,
    ( spl92_821
  <=> n0 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_821])]) ).

fof(f203,plain,
    n0 != n8,
    inference(cnf_transformation,[],[f5]) ).

fof(f4848,plain,
    spl92_820,
    inference(avatar_split_clause,[],[f413,f4845]) ).

fof(f4845,plain,
    ( spl92_820
  <=> n18 = sum(n12,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_820])]) ).

fof(f413,plain,
    n18 = sum(n12,n6),
    inference(cnf_transformation,[],[f5]) ).

fof(f4843,plain,
    spl92_819,
    inference(avatar_split_clause,[],[f580,f4840]) ).

fof(f4840,plain,
    ( spl92_819
  <=> n3 = sum(n9,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_819])]) ).

fof(f580,plain,
    n3 = sum(n9,n15),
    inference(cnf_transformation,[],[f5]) ).

fof(f4838,plain,
    ~ spl92_818,
    inference(avatar_split_clause,[],[f486,f4835]) ).

fof(f4835,plain,
    ( spl92_818
  <=> n11 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_818])]) ).

fof(f486,plain,
    n11 != n18,
    inference(cnf_transformation,[],[f5]) ).

fof(f4833,plain,
    ~ spl92_817,
    inference(avatar_split_clause,[],[f139,f4830]) ).

fof(f4830,plain,
    ( spl92_817
  <=> n7 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_817])]) ).

fof(f139,plain,
    n7 != n12,
    inference(cnf_transformation,[],[f5]) ).

fof(f4828,plain,
    spl92_816,
    inference(avatar_split_clause,[],[f433,f4825]) ).

fof(f4825,plain,
    ( spl92_816
  <=> n5 = sum(n7,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_816])]) ).

fof(f433,plain,
    n5 = sum(n7,n19),
    inference(cnf_transformation,[],[f5]) ).

fof(f4823,plain,
    spl92_815,
    inference(avatar_split_clause,[],[f776,f4820]) ).

fof(f4820,plain,
    ( spl92_815
  <=> pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK8))))))))))))))))))))) = sK80 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_815])]) ).

fof(f776,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK8))))))))))))))))))))) = sK80,
    inference(cnf_transformation,[],[f5]) ).

fof(f4818,plain,
    spl92_814,
    inference(avatar_split_clause,[],[f247,f4815]) ).

fof(f4815,plain,
    ( spl92_814
  <=> n13 = sum(n11,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_814])]) ).

fof(f247,plain,
    n13 = sum(n11,n2),
    inference(cnf_transformation,[],[f5]) ).

fof(f4813,plain,
    ~ spl92_813,
    inference(avatar_split_clause,[],[f745,f4810]) ).

fof(f4810,plain,
    ( spl92_813
  <=> n7 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_813])]) ).

fof(f745,plain,
    n7 != n17,
    inference(cnf_transformation,[],[f5]) ).

fof(f4808,plain,
    spl92_812,
    inference(avatar_split_clause,[],[f370,f4805]) ).

fof(f4805,plain,
    ( spl92_812
  <=> n0 = sum(n10,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_812])]) ).

fof(f370,plain,
    n0 = sum(n10,n11),
    inference(cnf_transformation,[],[f5]) ).

fof(f4803,plain,
    ( spl92_791
    | spl92_792
    | spl92_793
    | spl92_794
    | spl92_795
    | spl92_796
    | spl92_797
    | spl92_798
    | spl92_799
    | spl92_800
    | spl92_801
    | spl92_802
    | spl92_803
    | spl92_804
    | spl92_805
    | spl92_806
    | spl92_807
    | spl92_808
    | spl92_809
    | spl92_810
    | spl92_811 ),
    inference(avatar_split_clause,[],[f401,f4800,f4796,f4792,f4788,f4784,f4780,f4776,f4772,f4768,f4764,f4760,f4756,f4752,f4748,f4744,f4740,f4736,f4732,f4728,f4724,f4720]) ).

fof(f4720,plain,
    ( spl92_791
  <=> n19 = sK6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_791])]) ).

fof(f4724,plain,
    ( spl92_792
  <=> n9 = sK6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_792])]) ).

fof(f4728,plain,
    ( spl92_793
  <=> n6 = sK6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_793])]) ).

fof(f4732,plain,
    ( spl92_794
  <=> n12 = sK6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_794])]) ).

fof(f4736,plain,
    ( spl92_795
  <=> n15 = sK6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_795])]) ).

fof(f4740,plain,
    ( spl92_796
  <=> n20 = sK6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_796])]) ).

fof(f4744,plain,
    ( spl92_797
  <=> n14 = sK6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_797])]) ).

fof(f4748,plain,
    ( spl92_798
  <=> n0 = sK6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_798])]) ).

fof(f4752,plain,
    ( spl92_799
  <=> n16 = sK6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_799])]) ).

fof(f4756,plain,
    ( spl92_800
  <=> n13 = sK6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_800])]) ).

fof(f4760,plain,
    ( spl92_801
  <=> n3 = sK6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_801])]) ).

fof(f4764,plain,
    ( spl92_802
  <=> n11 = sK6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_802])]) ).

fof(f4768,plain,
    ( spl92_803
  <=> n4 = sK6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_803])]) ).

fof(f4772,plain,
    ( spl92_804
  <=> n17 = sK6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_804])]) ).

fof(f4776,plain,
    ( spl92_805
  <=> n5 = sK6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_805])]) ).

fof(f4780,plain,
    ( spl92_806
  <=> n10 = sK6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_806])]) ).

fof(f4784,plain,
    ( spl92_807
  <=> n2 = sK6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_807])]) ).

fof(f4788,plain,
    ( spl92_808
  <=> n8 = sK6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_808])]) ).

fof(f4792,plain,
    ( spl92_809
  <=> n7 = sK6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_809])]) ).

fof(f4796,plain,
    ( spl92_810
  <=> n1 = sK6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_810])]) ).

fof(f4800,plain,
    ( spl92_811
  <=> n18 = sK6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_811])]) ).

fof(f401,plain,
    ( n18 = sK6
    | n1 = sK6
    | n7 = sK6
    | n8 = sK6
    | n2 = sK6
    | n10 = sK6
    | n5 = sK6
    | n17 = sK6
    | n4 = sK6
    | n11 = sK6
    | n3 = sK6
    | n13 = sK6
    | n16 = sK6
    | n0 = sK6
    | n14 = sK6
    | n20 = sK6
    | n15 = sK6
    | n12 = sK6
    | n6 = sK6
    | n9 = sK6
    | n19 = sK6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f4718,plain,
    ~ spl92_790,
    inference(avatar_split_clause,[],[f764,f4715]) ).

fof(f4715,plain,
    ( spl92_790
  <=> n0 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_790])]) ).

fof(f764,plain,
    n0 != n10,
    inference(cnf_transformation,[],[f5]) ).

fof(f4713,plain,
    ~ spl92_789,
    inference(avatar_split_clause,[],[f86,f4710]) ).

fof(f4710,plain,
    ( spl92_789
  <=> n4 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_789])]) ).

fof(f86,plain,
    n4 != n11,
    inference(cnf_transformation,[],[f5]) ).

fof(f4708,plain,
    spl92_788,
    inference(avatar_split_clause,[],[f621,f4705]) ).

fof(f4705,plain,
    ( spl92_788
  <=> sK83 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK50))))))))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_788])]) ).

fof(f621,plain,
    sK83 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK50))))))))))))))))))))),
    inference(cnf_transformation,[],[f5]) ).

fof(f4703,plain,
    spl92_787,
    inference(avatar_split_clause,[],[f643,f4700]) ).

fof(f4700,plain,
    ( spl92_787
  <=> n9 = sum(n4,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_787])]) ).

fof(f643,plain,
    n9 = sum(n4,n5),
    inference(cnf_transformation,[],[f5]) ).

fof(f4698,plain,
    spl92_786,
    inference(avatar_split_clause,[],[f229,f4695]) ).

fof(f4695,plain,
    ( spl92_786
  <=> n6 = sum(n13,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_786])]) ).

fof(f229,plain,
    n6 = sum(n13,n14),
    inference(cnf_transformation,[],[f5]) ).

fof(f4693,plain,
    spl92_785,
    inference(avatar_split_clause,[],[f592,f4690]) ).

fof(f4690,plain,
    ( spl92_785
  <=> n20 = sum(n0,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_785])]) ).

fof(f592,plain,
    n20 = sum(n0,n20),
    inference(cnf_transformation,[],[f5]) ).

fof(f4688,plain,
    spl92_784,
    inference(avatar_split_clause,[],[f402,f4685]) ).

fof(f4685,plain,
    ( spl92_784
  <=> sum(pred(sK73),sum(succ(sK71),sum(pred(sK28),succ(sK0)))) = sK84 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_784])]) ).

fof(f402,plain,
    sum(pred(sK73),sum(succ(sK71),sum(pred(sK28),succ(sK0)))) = sK84,
    inference(cnf_transformation,[],[f5]) ).

fof(f4683,plain,
    ~ spl92_783,
    inference(avatar_split_clause,[],[f285,f4680]) ).

fof(f4680,plain,
    ( spl92_783
  <=> n3 = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_783])]) ).

fof(f285,plain,
    n3 != n7,
    inference(cnf_transformation,[],[f5]) ).

fof(f4678,plain,
    spl92_782,
    inference(avatar_split_clause,[],[f356,f4675]) ).

fof(f4675,plain,
    ( spl92_782
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK47))))))))))))))))))))) = sK81 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_782])]) ).

fof(f356,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK47))))))))))))))))))))) = sK81,
    inference(cnf_transformation,[],[f5]) ).

fof(f4673,plain,
    spl92_781,
    inference(avatar_split_clause,[],[f452,f4670]) ).

fof(f4670,plain,
    ( spl92_781
  <=> n15 = sum(n1,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_781])]) ).

fof(f452,plain,
    n15 = sum(n1,n14),
    inference(cnf_transformation,[],[f5]) ).

fof(f4668,plain,
    spl92_780,
    inference(avatar_split_clause,[],[f737,f4665]) ).

fof(f4665,plain,
    ( spl92_780
  <=> pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK76))))))))))))))))))))) = sK34 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_780])]) ).

fof(f737,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK76))))))))))))))))))))) = sK34,
    inference(cnf_transformation,[],[f5]) ).

fof(f4663,plain,
    ~ spl92_779,
    inference(avatar_split_clause,[],[f320,f4660]) ).

fof(f4660,plain,
    ( spl92_779
  <=> n1 = n3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_779])]) ).

fof(f320,plain,
    n1 != n3,
    inference(cnf_transformation,[],[f5]) ).

fof(f4658,plain,
    spl92_778,
    inference(avatar_split_clause,[],[f223,f4655]) ).

fof(f4655,plain,
    ( spl92_778
  <=> n0 = sum(n3,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_778])]) ).

fof(f223,plain,
    n0 = sum(n3,n18),
    inference(cnf_transformation,[],[f5]) ).

fof(f4653,plain,
    spl92_777,
    inference(avatar_split_clause,[],[f424,f4650]) ).

fof(f4650,plain,
    ( spl92_777
  <=> n20 = sum(n7,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_777])]) ).

fof(f424,plain,
    n20 = sum(n7,n13),
    inference(cnf_transformation,[],[f5]) ).

fof(f4648,plain,
    ~ spl92_776,
    inference(avatar_split_clause,[],[f179,f4645]) ).

fof(f4645,plain,
    ( spl92_776
  <=> n5 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_776])]) ).

fof(f179,plain,
    n5 != n17,
    inference(cnf_transformation,[],[f5]) ).

fof(f4643,plain,
    spl92_775,
    inference(avatar_split_clause,[],[f519,f4640]) ).

fof(f4640,plain,
    ( spl92_775
  <=> n13 = sum(n9,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_775])]) ).

fof(f519,plain,
    n13 = sum(n9,n4),
    inference(cnf_transformation,[],[f5]) ).

fof(f4638,plain,
    spl92_774,
    inference(avatar_split_clause,[],[f593,f4635]) ).

fof(f4635,plain,
    ( spl92_774
  <=> n9 = sum(n15,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_774])]) ).

fof(f593,plain,
    n9 = sum(n15,n15),
    inference(cnf_transformation,[],[f5]) ).

fof(f4633,plain,
    ~ spl92_773,
    inference(avatar_split_clause,[],[f283,f4630]) ).

fof(f4630,plain,
    ( spl92_773
  <=> n9 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_773])]) ).

fof(f283,plain,
    n9 != n16,
    inference(cnf_transformation,[],[f5]) ).

fof(f4628,plain,
    spl92_772,
    inference(avatar_split_clause,[],[f313,f4625]) ).

fof(f4625,plain,
    ( spl92_772
  <=> n19 = sum(n8,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_772])]) ).

fof(f313,plain,
    n19 = sum(n8,n11),
    inference(cnf_transformation,[],[f5]) ).

fof(f4623,plain,
    spl92_771,
    inference(avatar_split_clause,[],[f661,f4620]) ).

fof(f4620,plain,
    ( spl92_771
  <=> n10 = sum(n11,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_771])]) ).

fof(f661,plain,
    n10 = sum(n11,n20),
    inference(cnf_transformation,[],[f5]) ).

fof(f4618,plain,
    spl92_770,
    inference(avatar_split_clause,[],[f393,f4615]) ).

fof(f4615,plain,
    ( spl92_770
  <=> n8 = sum(n20,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_770])]) ).

fof(f393,plain,
    n8 = sum(n20,n9),
    inference(cnf_transformation,[],[f5]) ).

fof(f4613,plain,
    ~ spl92_769,
    inference(avatar_split_clause,[],[f76,f4610]) ).

fof(f4610,plain,
    ( spl92_769
  <=> n9 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_769])]) ).

fof(f76,plain,
    n9 != n20,
    inference(cnf_transformation,[],[f5]) ).

fof(f4608,plain,
    spl92_768,
    inference(avatar_split_clause,[],[f665,f4605]) ).

fof(f4605,plain,
    ( spl92_768
  <=> sum(pred(sK22),sum(succ(sK29),sum(pred(sK19),succ(sK66)))) = sK8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_768])]) ).

fof(f665,plain,
    sum(pred(sK22),sum(succ(sK29),sum(pred(sK19),succ(sK66)))) = sK8,
    inference(cnf_transformation,[],[f5]) ).

fof(f4603,plain,
    spl92_767,
    inference(avatar_split_clause,[],[f710,f4600]) ).

fof(f4600,plain,
    ( spl92_767
  <=> sK49 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK91))))))))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_767])]) ).

fof(f710,plain,
    sK49 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK91))))))))))))))))))))),
    inference(cnf_transformation,[],[f5]) ).

fof(f4598,plain,
    spl92_766,
    inference(avatar_split_clause,[],[f415,f4595]) ).

fof(f4595,plain,
    ( spl92_766
  <=> n9 = sum(n5,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_766])]) ).

fof(f415,plain,
    n9 = sum(n5,n4),
    inference(cnf_transformation,[],[f5]) ).

fof(f4593,plain,
    spl92_765,
    inference(avatar_split_clause,[],[f599,f4590]) ).

fof(f4590,plain,
    ( spl92_765
  <=> n4 = sum(n15,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_765])]) ).

fof(f599,plain,
    n4 = sum(n15,n10),
    inference(cnf_transformation,[],[f5]) ).

fof(f4588,plain,
    ~ spl92_764,
    inference(avatar_split_clause,[],[f521,f4585]) ).

fof(f4585,plain,
    ( spl92_764
  <=> n11 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_764])]) ).

fof(f521,plain,
    n11 != n12,
    inference(cnf_transformation,[],[f5]) ).

fof(f4583,plain,
    ~ spl92_763,
    inference(avatar_split_clause,[],[f90,f4580]) ).

fof(f4580,plain,
    ( spl92_763
  <=> n1 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_763])]) ).

fof(f90,plain,
    n1 != n17,
    inference(cnf_transformation,[],[f5]) ).

fof(f4578,plain,
    spl92_762,
    inference(avatar_split_clause,[],[f560,f4575]) ).

fof(f4575,plain,
    ( spl92_762
  <=> n16 = sum(n8,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_762])]) ).

fof(f560,plain,
    n16 = sum(n8,n8),
    inference(cnf_transformation,[],[f5]) ).

fof(f4573,plain,
    spl92_761,
    inference(avatar_split_clause,[],[f27,f4570]) ).

fof(f4570,plain,
    ( spl92_761
  <=> n19 = sum(n11,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_761])]) ).

fof(f27,plain,
    n19 = sum(n11,n8),
    inference(cnf_transformation,[],[f5]) ).

fof(f4568,plain,
    ~ spl92_760,
    inference(avatar_split_clause,[],[f664,f4565]) ).

fof(f4565,plain,
    ( spl92_760
  <=> n2 = n5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_760])]) ).

fof(f664,plain,
    n2 != n5,
    inference(cnf_transformation,[],[f5]) ).

fof(f4563,plain,
    spl92_759,
    inference(avatar_split_clause,[],[f412,f4560]) ).

fof(f4560,plain,
    ( spl92_759
  <=> n9 = sum(n20,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_759])]) ).

fof(f412,plain,
    n9 = sum(n20,n10),
    inference(cnf_transformation,[],[f5]) ).

fof(f4558,plain,
    ~ spl92_758,
    inference(avatar_split_clause,[],[f72,f4555]) ).

fof(f4555,plain,
    ( spl92_758
  <=> n12 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_758])]) ).

fof(f72,plain,
    n12 != n16,
    inference(cnf_transformation,[],[f5]) ).

fof(f4553,plain,
    spl92_757,
    inference(avatar_split_clause,[],[f543,f4550]) ).

fof(f4550,plain,
    ( spl92_757
  <=> n15 = sum(n8,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_757])]) ).

fof(f543,plain,
    n15 = sum(n8,n7),
    inference(cnf_transformation,[],[f5]) ).

fof(f4548,plain,
    spl92_756,
    inference(avatar_split_clause,[],[f477,f4545]) ).

fof(f4545,plain,
    ( spl92_756
  <=> n11 = sum(n1,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_756])]) ).

fof(f477,plain,
    n11 = sum(n1,n10),
    inference(cnf_transformation,[],[f5]) ).

fof(f4543,plain,
    spl92_755,
    inference(avatar_split_clause,[],[f122,f4540]) ).

fof(f4540,plain,
    ( spl92_755
  <=> n18 = sum(n16,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_755])]) ).

fof(f122,plain,
    n18 = sum(n16,n2),
    inference(cnf_transformation,[],[f5]) ).

fof(f4538,plain,
    spl92_754,
    inference(avatar_split_clause,[],[f571,f4535]) ).

fof(f4535,plain,
    ( spl92_754
  <=> n4 = sum(n4,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_754])]) ).

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

fof(f4533,plain,
    spl92_753,
    inference(avatar_split_clause,[],[f318,f4530]) ).

fof(f4530,plain,
    ( spl92_753
  <=> n5 = sum(n6,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_753])]) ).

fof(f318,plain,
    n5 = sum(n6,n20),
    inference(cnf_transformation,[],[f5]) ).

fof(f4528,plain,
    spl92_752,
    inference(avatar_split_clause,[],[f565,f4525]) ).

fof(f4525,plain,
    ( spl92_752
  <=> sK86 = sum(pred(sK31),sum(succ(sK9),sum(pred(sK46),succ(sK39)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_752])]) ).

fof(f565,plain,
    sK86 = sum(pred(sK31),sum(succ(sK9),sum(pred(sK46),succ(sK39)))),
    inference(cnf_transformation,[],[f5]) ).

fof(f4523,plain,
    ~ spl92_751,
    inference(avatar_split_clause,[],[f173,f4520]) ).

fof(f4520,plain,
    ( spl92_751
  <=> n15 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_751])]) ).

fof(f173,plain,
    n15 != n20,
    inference(cnf_transformation,[],[f5]) ).

fof(f4518,plain,
    ~ spl92_750,
    inference(avatar_split_clause,[],[f735,f4515]) ).

fof(f4515,plain,
    ( spl92_750
  <=> n1 = n6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_750])]) ).

fof(f735,plain,
    n1 != n6,
    inference(cnf_transformation,[],[f5]) ).

fof(f4513,plain,
    ~ spl92_749,
    inference(avatar_split_clause,[],[f573,f4510]) ).

fof(f4510,plain,
    ( spl92_749
  <=> n3 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_749])]) ).

fof(f573,plain,
    n3 != n18,
    inference(cnf_transformation,[],[f5]) ).

fof(f4508,plain,
    spl92_748,
    inference(avatar_split_clause,[],[f108,f4505]) ).

fof(f4505,plain,
    ( spl92_748
  <=> succ(n17) = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_748])]) ).

fof(f108,plain,
    succ(n17) = n18,
    inference(cnf_transformation,[],[f5]) ).

fof(f4503,plain,
    spl92_747,
    inference(avatar_split_clause,[],[f667,f4500]) ).

fof(f4500,plain,
    ( spl92_747
  <=> n10 = sum(n15,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_747])]) ).

fof(f667,plain,
    n10 = sum(n15,n16),
    inference(cnf_transformation,[],[f5]) ).

fof(f4498,plain,
    spl92_746,
    inference(avatar_split_clause,[],[f83,f4495]) ).

fof(f4495,plain,
    ( spl92_746
  <=> sK29 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK15))))))))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_746])]) ).

fof(f83,plain,
    sK29 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK15))))))))))))))))))))),
    inference(cnf_transformation,[],[f5]) ).

fof(f4493,plain,
    ~ spl92_745,
    inference(avatar_split_clause,[],[f561,f4490]) ).

fof(f4490,plain,
    ( spl92_745
  <=> n4 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_745])]) ).

fof(f561,plain,
    n4 != n20,
    inference(cnf_transformation,[],[f5]) ).

fof(f4488,plain,
    ~ spl92_744,
    inference(avatar_split_clause,[],[f387,f4485]) ).

fof(f4485,plain,
    ( spl92_744
  <=> n4 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_744])]) ).

fof(f387,plain,
    n4 != n18,
    inference(cnf_transformation,[],[f5]) ).

fof(f4483,plain,
    ~ spl92_743,
    inference(avatar_split_clause,[],[f503,f4480]) ).

fof(f4480,plain,
    ( spl92_743
  <=> n13 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_743])]) ).

fof(f503,plain,
    n13 != n19,
    inference(cnf_transformation,[],[f5]) ).

fof(f4478,plain,
    spl92_742,
    inference(avatar_split_clause,[],[f475,f4475]) ).

fof(f4475,plain,
    ( spl92_742
  <=> n16 = sum(n3,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_742])]) ).

fof(f475,plain,
    n16 = sum(n3,n13),
    inference(cnf_transformation,[],[f5]) ).

fof(f4473,plain,
    spl92_741,
    inference(avatar_split_clause,[],[f357,f4470]) ).

fof(f4470,plain,
    ( spl92_741
  <=> n20 = sum(n12,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_741])]) ).

fof(f357,plain,
    n20 = sum(n12,n8),
    inference(cnf_transformation,[],[f5]) ).

fof(f4468,plain,
    spl92_740,
    inference(avatar_split_clause,[],[f234,f4465]) ).

fof(f4465,plain,
    ( spl92_740
  <=> n14 = sum(n6,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_740])]) ).

fof(f234,plain,
    n14 = sum(n6,n8),
    inference(cnf_transformation,[],[f5]) ).

fof(f4463,plain,
    ~ spl92_739,
    inference(avatar_split_clause,[],[f480,f4460]) ).

fof(f4460,plain,
    ( spl92_739
  <=> n2 = n3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_739])]) ).

fof(f480,plain,
    n2 != n3,
    inference(cnf_transformation,[],[f5]) ).

fof(f4458,plain,
    spl92_738,
    inference(avatar_split_clause,[],[f114,f4455]) ).

fof(f4455,plain,
    ( spl92_738
  <=> n4 = sum(n7,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_738])]) ).

fof(f114,plain,
    n4 = sum(n7,n18),
    inference(cnf_transformation,[],[f5]) ).

fof(f4453,plain,
    spl92_737,
    inference(avatar_split_clause,[],[f740,f4450]) ).

fof(f4450,plain,
    ( spl92_737
  <=> sK67 = sum(sum(pred(sK50),succ(sK45)),sum(pred(sK45),succ(sK50))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_737])]) ).

fof(f740,plain,
    sK67 = sum(sum(pred(sK50),succ(sK45)),sum(pred(sK45),succ(sK50))),
    inference(cnf_transformation,[],[f5]) ).

fof(f4448,plain,
    spl92_736,
    inference(avatar_split_clause,[],[f605,f4445]) ).

fof(f4445,plain,
    ( spl92_736
  <=> n10 = sum(n17,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_736])]) ).

fof(f605,plain,
    n10 = sum(n17,n14),
    inference(cnf_transformation,[],[f5]) ).

fof(f4443,plain,
    ~ spl92_735,
    inference(avatar_split_clause,[],[f696,f4440]) ).

fof(f4440,plain,
    ( spl92_735
  <=> n13 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_735])]) ).

fof(f696,plain,
    n13 != n16,
    inference(cnf_transformation,[],[f5]) ).

fof(f4438,plain,
    spl92_734,
    inference(avatar_split_clause,[],[f516,f4435]) ).

fof(f4435,plain,
    ( spl92_734
  <=> n7 = sum(n20,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_734])]) ).

fof(f516,plain,
    n7 = sum(n20,n8),
    inference(cnf_transformation,[],[f5]) ).

fof(f4433,plain,
    spl92_733,
    inference(avatar_split_clause,[],[f494,f4430]) ).

fof(f4430,plain,
    ( spl92_733
  <=> n16 = sum(n2,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_733])]) ).

fof(f494,plain,
    n16 = sum(n2,n14),
    inference(cnf_transformation,[],[f5]) ).

fof(f4428,plain,
    spl92_732,
    inference(avatar_split_clause,[],[f678,f4425]) ).

fof(f4425,plain,
    ( spl92_732
  <=> n9 = sum(n16,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_732])]) ).

fof(f678,plain,
    n9 = sum(n16,n14),
    inference(cnf_transformation,[],[f5]) ).

fof(f4423,plain,
    spl92_731,
    inference(avatar_split_clause,[],[f497,f4420]) ).

fof(f4420,plain,
    ( spl92_731
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK20))))))))))))))))))))) = sK4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_731])]) ).

fof(f497,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK20))))))))))))))))))))) = sK4,
    inference(cnf_transformation,[],[f5]) ).

fof(f4418,plain,
    ~ spl92_730,
    inference(avatar_split_clause,[],[f693,f4415]) ).

fof(f4415,plain,
    ( spl92_730
  <=> n10 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_730])]) ).

fof(f693,plain,
    n10 != n19,
    inference(cnf_transformation,[],[f5]) ).

fof(f4413,plain,
    spl92_729,
    inference(avatar_split_clause,[],[f481,f4410]) ).

fof(f4410,plain,
    ( spl92_729
  <=> n17 = sum(n1,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_729])]) ).

fof(f481,plain,
    n17 = sum(n1,n16),
    inference(cnf_transformation,[],[f5]) ).

fof(f4408,plain,
    ( ~ spl92_725
    | ~ spl92_726
    | ~ spl92_727
    | ~ spl92_728 ),
    inference(avatar_split_clause,[],[f171,f4405,f4401,f4397,f4393]) ).

fof(f4393,plain,
    ( spl92_725
  <=> sK24 = sK51 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_725])]) ).

fof(f4397,plain,
    ( spl92_726
  <=> sK62 = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_726])]) ).

fof(f4401,plain,
    ( spl92_727
  <=> sK25 = sK18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_727])]) ).

fof(f4405,plain,
    ( spl92_728
  <=> sK86 = sK72 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_728])]) ).

fof(f171,plain,
    ( sK86 != sK72
    | sK25 != sK18
    | sK62 != sK1
    | sK24 != sK51 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f4391,plain,
    spl92_724,
    inference(avatar_split_clause,[],[f700,f4388]) ).

fof(f4388,plain,
    ( spl92_724
  <=> n0 = sum(n20,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_724])]) ).

fof(f700,plain,
    n0 = sum(n20,n1),
    inference(cnf_transformation,[],[f5]) ).

fof(f4386,plain,
    spl92_723,
    inference(avatar_split_clause,[],[f513,f4383]) ).

fof(f4383,plain,
    ( spl92_723
  <=> n2 = sum(n1,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_723])]) ).

fof(f513,plain,
    n2 = sum(n1,n1),
    inference(cnf_transformation,[],[f5]) ).

fof(f4381,plain,
    spl92_722,
    inference(avatar_split_clause,[],[f24,f4378]) ).

fof(f4378,plain,
    ( spl92_722
  <=> n17 = sum(n9,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_722])]) ).

fof(f24,plain,
    n17 = sum(n9,n8),
    inference(cnf_transformation,[],[f5]) ).

fof(f4376,plain,
    spl92_721,
    inference(avatar_split_clause,[],[f587,f4373]) ).

fof(f4373,plain,
    ( spl92_721
  <=> n2 = sum(n4,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_721])]) ).

fof(f587,plain,
    n2 = sum(n4,n19),
    inference(cnf_transformation,[],[f5]) ).

fof(f4371,plain,
    spl92_720,
    inference(avatar_split_clause,[],[f186,f4368]) ).

fof(f4368,plain,
    ( spl92_720
  <=> n4 = sum(n20,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_720])]) ).

fof(f186,plain,
    n4 = sum(n20,n5),
    inference(cnf_transformation,[],[f5]) ).

fof(f4366,plain,
    spl92_719,
    inference(avatar_split_clause,[],[f754,f4363]) ).

fof(f4363,plain,
    ( spl92_719
  <=> n0 = sum(n4,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_719])]) ).

fof(f754,plain,
    n0 = sum(n4,n17),
    inference(cnf_transformation,[],[f5]) ).

fof(f4361,plain,
    ~ spl92_718,
    inference(avatar_split_clause,[],[f374,f4358]) ).

fof(f4358,plain,
    ( spl92_718
  <=> n0 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_718])]) ).

fof(f374,plain,
    n0 != n20,
    inference(cnf_transformation,[],[f5]) ).

fof(f4356,plain,
    spl92_717,
    inference(avatar_split_clause,[],[f350,f4353]) ).

fof(f4353,plain,
    ( spl92_717
  <=> n5 = pred(n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_717])]) ).

fof(f350,plain,
    n5 = pred(n6),
    inference(cnf_transformation,[],[f5]) ).

fof(f4351,plain,
    spl92_716,
    inference(avatar_split_clause,[],[f441,f4348]) ).

fof(f4348,plain,
    ( spl92_716
  <=> n14 = sum(n15,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_716])]) ).

fof(f441,plain,
    n14 = sum(n15,n20),
    inference(cnf_transformation,[],[f5]) ).

fof(f4346,plain,
    spl92_715,
    inference(avatar_split_clause,[],[f720,f4343]) ).

fof(f4343,plain,
    ( spl92_715
  <=> n10 = pred(n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_715])]) ).

fof(f720,plain,
    n10 = pred(n11),
    inference(cnf_transformation,[],[f5]) ).

fof(f4341,plain,
    spl92_714,
    inference(avatar_split_clause,[],[f772,f4338]) ).

fof(f4338,plain,
    ( spl92_714
  <=> succ(n1) = n2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_714])]) ).

fof(f772,plain,
    succ(n1) = n2,
    inference(cnf_transformation,[],[f5]) ).

fof(f4336,plain,
    ~ spl92_713,
    inference(avatar_split_clause,[],[f614,f4333]) ).

fof(f4333,plain,
    ( spl92_713
  <=> n11 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_713])]) ).

fof(f614,plain,
    n11 != n13,
    inference(cnf_transformation,[],[f5]) ).

fof(f4331,plain,
    ~ spl92_712,
    inference(avatar_split_clause,[],[f88,f4328]) ).

fof(f4328,plain,
    ( spl92_712
  <=> n1 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_712])]) ).

fof(f88,plain,
    n1 != n15,
    inference(cnf_transformation,[],[f5]) ).

fof(f4326,plain,
    spl92_711,
    inference(avatar_split_clause,[],[f298,f4323]) ).

fof(f4323,plain,
    ( spl92_711
  <=> n14 = sum(n7,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_711])]) ).

fof(f298,plain,
    n14 = sum(n7,n7),
    inference(cnf_transformation,[],[f5]) ).

fof(f4321,plain,
    spl92_710,
    inference(avatar_split_clause,[],[f67,f4318]) ).

fof(f4318,plain,
    ( spl92_710
  <=> n3 = pred(n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_710])]) ).

fof(f67,plain,
    n3 = pred(n4),
    inference(cnf_transformation,[],[f5]) ).

fof(f4316,plain,
    spl92_709,
    inference(avatar_split_clause,[],[f372,f4313]) ).

fof(f4313,plain,
    ( spl92_709
  <=> n3 = sum(n8,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_709])]) ).

fof(f372,plain,
    n3 = sum(n8,n16),
    inference(cnf_transformation,[],[f5]) ).

fof(f4311,plain,
    spl92_708,
    inference(avatar_split_clause,[],[f757,f4308]) ).

fof(f4308,plain,
    ( spl92_708
  <=> n17 = sum(n20,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_708])]) ).

fof(f757,plain,
    n17 = sum(n20,n18),
    inference(cnf_transformation,[],[f5]) ).

fof(f4306,plain,
    spl92_707,
    inference(avatar_split_clause,[],[f82,f4303]) ).

fof(f4303,plain,
    ( spl92_707
  <=> n12 = sum(n14,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_707])]) ).

fof(f82,plain,
    n12 = sum(n14,n19),
    inference(cnf_transformation,[],[f5]) ).

fof(f4301,plain,
    spl92_706,
    inference(avatar_split_clause,[],[f346,f4298]) ).

fof(f4298,plain,
    ( spl92_706
  <=> n20 = sum(n19,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_706])]) ).

fof(f346,plain,
    n20 = sum(n19,n1),
    inference(cnf_transformation,[],[f5]) ).

fof(f4296,plain,
    spl92_705,
    inference(avatar_split_clause,[],[f419,f4293]) ).

fof(f4293,plain,
    ( spl92_705
  <=> succ(n8) = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_705])]) ).

fof(f419,plain,
    succ(n8) = n9,
    inference(cnf_transformation,[],[f5]) ).

fof(f4291,plain,
    ~ spl92_704,
    inference(avatar_split_clause,[],[f760,f4288]) ).

fof(f4288,plain,
    ( spl92_704
  <=> n2 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_704])]) ).

fof(f760,plain,
    n2 != n20,
    inference(cnf_transformation,[],[f5]) ).

fof(f4286,plain,
    spl92_703,
    inference(avatar_split_clause,[],[f321,f4283]) ).

fof(f4283,plain,
    ( spl92_703
  <=> sK36 = sum(sum(pred(sK20),succ(sK55)),sum(pred(sK55),succ(sK20))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_703])]) ).

fof(f321,plain,
    sK36 = sum(sum(pred(sK20),succ(sK55)),sum(pred(sK55),succ(sK20))),
    inference(cnf_transformation,[],[f5]) ).

fof(f4281,plain,
    spl92_702,
    inference(avatar_split_clause,[],[f84,f4278]) ).

fof(f4278,plain,
    ( spl92_702
  <=> n3 = sum(n5,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_702])]) ).

fof(f84,plain,
    n3 = sum(n5,n19),
    inference(cnf_transformation,[],[f5]) ).

fof(f4276,plain,
    spl92_701,
    inference(avatar_split_clause,[],[f404,f4273]) ).

fof(f4273,plain,
    ( spl92_701
  <=> n20 = sum(n14,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_701])]) ).

fof(f404,plain,
    n20 = sum(n14,n6),
    inference(cnf_transformation,[],[f5]) ).

fof(f4271,plain,
    spl92_700,
    inference(avatar_split_clause,[],[f259,f4268]) ).

fof(f4268,plain,
    ( spl92_700
  <=> n18 = sum(n7,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_700])]) ).

fof(f259,plain,
    n18 = sum(n7,n11),
    inference(cnf_transformation,[],[f5]) ).

fof(f4266,plain,
    spl92_699,
    inference(avatar_split_clause,[],[f23,f4263]) ).

fof(f4263,plain,
    ( spl92_699
  <=> n0 = sum(n6,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_699])]) ).

fof(f23,plain,
    n0 = sum(n6,n15),
    inference(cnf_transformation,[],[f5]) ).

fof(f4261,plain,
    spl92_698,
    inference(avatar_split_clause,[],[f386,f4258]) ).

fof(f4258,plain,
    ( spl92_698
  <=> n6 = sum(n1,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_698])]) ).

fof(f386,plain,
    n6 = sum(n1,n5),
    inference(cnf_transformation,[],[f5]) ).

fof(f4256,plain,
    ~ spl92_697,
    inference(avatar_split_clause,[],[f559,f4253]) ).

fof(f4253,plain,
    ( spl92_697
  <=> n4 = n5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_697])]) ).

fof(f559,plain,
    n4 != n5,
    inference(cnf_transformation,[],[f5]) ).

fof(f4251,plain,
    spl92_696,
    inference(avatar_split_clause,[],[f315,f4248]) ).

fof(f4248,plain,
    ( spl92_696
  <=> n17 = sum(n6,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_696])]) ).

fof(f315,plain,
    n17 = sum(n6,n11),
    inference(cnf_transformation,[],[f5]) ).

fof(f4246,plain,
    ~ spl92_695,
    inference(avatar_split_clause,[],[f501,f4243]) ).

fof(f4243,plain,
    ( spl92_695
  <=> n5 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_695])]) ).

fof(f501,plain,
    n5 != n9,
    inference(cnf_transformation,[],[f5]) ).

fof(f4241,plain,
    spl92_694,
    inference(avatar_split_clause,[],[f411,f4238]) ).

fof(f4238,plain,
    ( spl92_694
  <=> succ(n0) = n1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_694])]) ).

fof(f411,plain,
    succ(n0) = n1,
    inference(cnf_transformation,[],[f5]) ).

fof(f4236,plain,
    ~ spl92_693,
    inference(avatar_split_clause,[],[f70,f4233]) ).

fof(f4233,plain,
    ( spl92_693
  <=> n9 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_693])]) ).

fof(f70,plain,
    n9 != n18,
    inference(cnf_transformation,[],[f5]) ).

fof(f4231,plain,
    spl92_692,
    inference(avatar_split_clause,[],[f567,f4228]) ).

fof(f4228,plain,
    ( spl92_692
  <=> succ(n9) = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_692])]) ).

fof(f567,plain,
    succ(n9) = n10,
    inference(cnf_transformation,[],[f5]) ).

fof(f4226,plain,
    ~ spl92_691,
    inference(avatar_split_clause,[],[f395,f4223]) ).

fof(f4223,plain,
    ( spl92_691
  <=> n10 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_691])]) ).

fof(f395,plain,
    n10 != n15,
    inference(cnf_transformation,[],[f5]) ).

fof(f4221,plain,
    ~ spl92_690,
    inference(avatar_split_clause,[],[f748,f4218]) ).

fof(f4218,plain,
    ( spl92_690
  <=> n1 = n4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_690])]) ).

fof(f748,plain,
    n1 != n4,
    inference(cnf_transformation,[],[f5]) ).

fof(f4216,plain,
    spl92_689,
    inference(avatar_split_clause,[],[f185,f4213]) ).

fof(f4213,plain,
    ( spl92_689
  <=> n12 = sum(n19,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_689])]) ).

fof(f185,plain,
    n12 = sum(n19,n14),
    inference(cnf_transformation,[],[f5]) ).

fof(f4211,plain,
    spl92_688,
    inference(avatar_split_clause,[],[f568,f4208]) ).

fof(f4208,plain,
    ( spl92_688
  <=> n1 = sum(n3,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_688])]) ).

fof(f568,plain,
    n1 = sum(n3,n19),
    inference(cnf_transformation,[],[f5]) ).

fof(f4206,plain,
    ~ spl92_687,
    inference(avatar_split_clause,[],[f756,f4203]) ).

fof(f4203,plain,
    ( spl92_687
  <=> n0 = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_687])]) ).

fof(f756,plain,
    n0 != n7,
    inference(cnf_transformation,[],[f5]) ).

fof(f4201,plain,
    spl92_686,
    inference(avatar_split_clause,[],[f577,f4198]) ).

fof(f4198,plain,
    ( spl92_686
  <=> n7 = sum(n7,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_686])]) ).

fof(f577,plain,
    n7 = sum(n7,n0),
    inference(cnf_transformation,[],[f5]) ).

fof(f4196,plain,
    spl92_685,
    inference(avatar_split_clause,[],[f102,f4193]) ).

fof(f4193,plain,
    ( spl92_685
  <=> n19 = sum(n0,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_685])]) ).

fof(f102,plain,
    n19 = sum(n0,n19),
    inference(cnf_transformation,[],[f5]) ).

fof(f4191,plain,
    spl92_684,
    inference(avatar_split_clause,[],[f130,f4188]) ).

fof(f4188,plain,
    ( spl92_684
  <=> pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK25))))))))))))))))))))) = sK39 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_684])]) ).

fof(f130,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK25))))))))))))))))))))) = sK39,
    inference(cnf_transformation,[],[f5]) ).

fof(f4186,plain,
    spl92_683,
    inference(avatar_split_clause,[],[f671,f4183]) ).

fof(f4183,plain,
    ( spl92_683
  <=> n12 = sum(n18,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_683])]) ).

fof(f671,plain,
    n12 = sum(n18,n15),
    inference(cnf_transformation,[],[f5]) ).

fof(f4181,plain,
    spl92_682,
    inference(avatar_split_clause,[],[f166,f4178]) ).

fof(f4178,plain,
    ( spl92_682
  <=> n6 = sum(n10,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_682])]) ).

fof(f166,plain,
    n6 = sum(n10,n17),
    inference(cnf_transformation,[],[f5]) ).

fof(f4176,plain,
    spl92_681,
    inference(avatar_split_clause,[],[f634,f4173]) ).

fof(f4173,plain,
    ( spl92_681
  <=> sK38 = sum(sum(pred(sK15),succ(sK6)),sum(pred(sK6),succ(sK15))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_681])]) ).

fof(f634,plain,
    sK38 = sum(sum(pred(sK15),succ(sK6)),sum(pred(sK6),succ(sK15))),
    inference(cnf_transformation,[],[f5]) ).

fof(f4171,plain,
    spl92_680,
    inference(avatar_split_clause,[],[f627,f4168]) ).

fof(f4168,plain,
    ( spl92_680
  <=> n1 = sum(n16,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_680])]) ).

fof(f627,plain,
    n1 = sum(n16,n6),
    inference(cnf_transformation,[],[f5]) ).

fof(f4166,plain,
    spl92_679,
    inference(avatar_split_clause,[],[f195,f4163]) ).

fof(f4163,plain,
    ( spl92_679
  <=> n0 = pred(n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_679])]) ).

fof(f195,plain,
    n0 = pred(n1),
    inference(cnf_transformation,[],[f5]) ).

fof(f4161,plain,
    ~ spl92_678,
    inference(avatar_split_clause,[],[f428,f4158]) ).

fof(f4158,plain,
    ( spl92_678
  <=> n0 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_678])]) ).

fof(f428,plain,
    n0 != n12,
    inference(cnf_transformation,[],[f5]) ).

fof(f4156,plain,
    spl92_677,
    inference(avatar_split_clause,[],[f344,f4153]) ).

fof(f4153,plain,
    ( spl92_677
  <=> n2 = sum(n13,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_677])]) ).

fof(f344,plain,
    n2 = sum(n13,n10),
    inference(cnf_transformation,[],[f5]) ).

fof(f4151,plain,
    ~ spl92_676,
    inference(avatar_split_clause,[],[f381,f4148]) ).

fof(f4148,plain,
    ( spl92_676
  <=> n6 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_676])]) ).

fof(f381,plain,
    n6 != n16,
    inference(cnf_transformation,[],[f5]) ).

fof(f4146,plain,
    ~ spl92_675,
    inference(avatar_split_clause,[],[f206,f4143]) ).

fof(f4143,plain,
    ( spl92_675
  <=> n8 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_675])]) ).

fof(f206,plain,
    n8 != n19,
    inference(cnf_transformation,[],[f5]) ).

fof(f4141,plain,
    spl92_674,
    inference(avatar_split_clause,[],[f115,f4138]) ).

fof(f4138,plain,
    ( spl92_674
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK36))))))))))))))))))))) = sK73 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_674])]) ).

fof(f115,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK36))))))))))))))))))))) = sK73,
    inference(cnf_transformation,[],[f5]) ).

fof(f4136,plain,
    ~ spl92_673,
    inference(avatar_split_clause,[],[f188,f4133]) ).

fof(f4133,plain,
    ( spl92_673
  <=> n8 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_673])]) ).

fof(f188,plain,
    n8 != n9,
    inference(cnf_transformation,[],[f5]) ).

fof(f4131,plain,
    spl92_672,
    inference(avatar_split_clause,[],[f175,f4128]) ).

fof(f4128,plain,
    ( spl92_672
  <=> n18 = sum(n6,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_672])]) ).

fof(f175,plain,
    n18 = sum(n6,n12),
    inference(cnf_transformation,[],[f5]) ).

fof(f4126,plain,
    spl92_671,
    inference(avatar_split_clause,[],[f733,f4123]) ).

fof(f4123,plain,
    ( spl92_671
  <=> n6 = sum(n14,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_671])]) ).

fof(f733,plain,
    n6 = sum(n14,n13),
    inference(cnf_transformation,[],[f5]) ).

fof(f4121,plain,
    ~ spl92_670,
    inference(avatar_split_clause,[],[f197,f4118]) ).

fof(f4118,plain,
    ( spl92_670
  <=> n7 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_670])]) ).

fof(f197,plain,
    n7 != n13,
    inference(cnf_transformation,[],[f5]) ).

fof(f4116,plain,
    spl92_669,
    inference(avatar_split_clause,[],[f618,f4113]) ).

fof(f4113,plain,
    ( spl92_669
  <=> n12 = pred(n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_669])]) ).

fof(f618,plain,
    n12 = pred(n13),
    inference(cnf_transformation,[],[f5]) ).

fof(f4111,plain,
    ~ spl92_668,
    inference(avatar_split_clause,[],[f119,f4108]) ).

fof(f4108,plain,
    ( spl92_668
  <=> n16 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_668])]) ).

fof(f119,plain,
    n16 != n20,
    inference(cnf_transformation,[],[f5]) ).

fof(f4106,plain,
    spl92_667,
    inference(avatar_split_clause,[],[f31,f4103]) ).

fof(f4103,plain,
    ( spl92_667
  <=> n17 = sum(n17,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_667])]) ).

fof(f31,plain,
    n17 = sum(n17,n0),
    inference(cnf_transformation,[],[f5]) ).

fof(f4101,plain,
    spl92_666,
    inference(avatar_split_clause,[],[f566,f4098]) ).

fof(f4098,plain,
    ( spl92_666
  <=> n5 = sum(n12,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_666])]) ).

fof(f566,plain,
    n5 = sum(n12,n14),
    inference(cnf_transformation,[],[f5]) ).

fof(f4096,plain,
    spl92_665,
    inference(avatar_split_clause,[],[f281,f4093]) ).

fof(f4093,plain,
    ( spl92_665
  <=> n0 = sum(n19,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_665])]) ).

fof(f281,plain,
    n0 = sum(n19,n2),
    inference(cnf_transformation,[],[f5]) ).

fof(f4091,plain,
    spl92_664,
    inference(avatar_split_clause,[],[f551,f4088]) ).

fof(f4088,plain,
    ( spl92_664
  <=> n13 = sum(n19,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_664])]) ).

fof(f551,plain,
    n13 = sum(n19,n15),
    inference(cnf_transformation,[],[f5]) ).

fof(f4086,plain,
    spl92_663,
    inference(avatar_split_clause,[],[f241,f4083]) ).

fof(f4083,plain,
    ( spl92_663
  <=> n13 = sum(n1,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_663])]) ).

fof(f241,plain,
    n13 = sum(n1,n12),
    inference(cnf_transformation,[],[f5]) ).

fof(f4081,plain,
    spl92_662,
    inference(avatar_split_clause,[],[f676,f4078]) ).

fof(f4078,plain,
    ( spl92_662
  <=> n2 = sum(n2,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_662])]) ).

fof(f676,plain,
    n2 = sum(n2,n0),
    inference(cnf_transformation,[],[f5]) ).

fof(f4076,plain,
    spl92_661,
    inference(avatar_split_clause,[],[f447,f4073]) ).

fof(f4073,plain,
    ( spl92_661
  <=> succ(n7) = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_661])]) ).

fof(f447,plain,
    succ(n7) = n8,
    inference(cnf_transformation,[],[f5]) ).

fof(f4071,plain,
    spl92_660,
    inference(avatar_split_clause,[],[f529,f4068]) ).

fof(f4068,plain,
    ( spl92_660
  <=> n16 = sum(n9,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_660])]) ).

fof(f529,plain,
    n16 = sum(n9,n7),
    inference(cnf_transformation,[],[f5]) ).

fof(f4066,plain,
    spl92_659,
    inference(avatar_split_clause,[],[f181,f4063]) ).

fof(f4063,plain,
    ( spl92_659
  <=> n2 = sum(n11,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_659])]) ).

fof(f181,plain,
    n2 = sum(n11,n12),
    inference(cnf_transformation,[],[f5]) ).

fof(f4061,plain,
    spl92_658,
    inference(avatar_split_clause,[],[f579,f4058]) ).

fof(f4058,plain,
    ( spl92_658
  <=> pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK51))))))))))))))))))))) = sK70 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_658])]) ).

fof(f579,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK51))))))))))))))))))))) = sK70,
    inference(cnf_transformation,[],[f5]) ).

fof(f4056,plain,
    spl92_657,
    inference(avatar_split_clause,[],[f245,f4053]) ).

fof(f4053,plain,
    ( spl92_657
  <=> n8 = sum(n2,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_657])]) ).

fof(f245,plain,
    n8 = sum(n2,n6),
    inference(cnf_transformation,[],[f5]) ).

fof(f4051,plain,
    spl92_656,
    inference(avatar_split_clause,[],[f454,f4048]) ).

fof(f4048,plain,
    ( spl92_656
  <=> n1 = sum(n9,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_656])]) ).

fof(f454,plain,
    n1 = sum(n9,n13),
    inference(cnf_transformation,[],[f5]) ).

fof(f4046,plain,
    spl92_655,
    inference(avatar_split_clause,[],[f394,f4043]) ).

fof(f4043,plain,
    ( spl92_655
  <=> n16 = sum(n20,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_655])]) ).

fof(f394,plain,
    n16 = sum(n20,n17),
    inference(cnf_transformation,[],[f5]) ).

fof(f4041,plain,
    spl92_654,
    inference(avatar_split_clause,[],[f391,f4038]) ).

fof(f4038,plain,
    ( spl92_654
  <=> n8 = sum(n5,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_654])]) ).

fof(f391,plain,
    n8 = sum(n5,n3),
    inference(cnf_transformation,[],[f5]) ).

fof(f4036,plain,
    spl92_653,
    inference(avatar_split_clause,[],[f421,f4033]) ).

fof(f4033,plain,
    ( spl92_653
  <=> n11 = sum(n14,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_653])]) ).

fof(f421,plain,
    n11 = sum(n14,n18),
    inference(cnf_transformation,[],[f5]) ).

fof(f4031,plain,
    ~ spl92_652,
    inference(avatar_split_clause,[],[f465,f4028]) ).

fof(f4028,plain,
    ( spl92_652
  <=> n5 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_652])]) ).

fof(f465,plain,
    n5 != n8,
    inference(cnf_transformation,[],[f5]) ).

fof(f4026,plain,
    spl92_651,
    inference(avatar_split_clause,[],[f292,f4023]) ).

fof(f4023,plain,
    ( spl92_651
  <=> n5 = sum(n4,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_651])]) ).

fof(f292,plain,
    n5 = sum(n4,n1),
    inference(cnf_transformation,[],[f5]) ).

fof(f4021,plain,
    ~ spl92_650,
    inference(avatar_split_clause,[],[f19,f4018]) ).

fof(f4018,plain,
    ( spl92_650
  <=> n4 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_650])]) ).

fof(f19,plain,
    n4 != n10,
    inference(cnf_transformation,[],[f5]) ).

fof(f4016,plain,
    ~ spl92_649,
    inference(avatar_split_clause,[],[f39,f4013]) ).

fof(f4013,plain,
    ( spl92_649
  <=> n8 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_649])]) ).

fof(f39,plain,
    n8 != n13,
    inference(cnf_transformation,[],[f5]) ).

fof(f4011,plain,
    ~ spl92_648,
    inference(avatar_split_clause,[],[f81,f4008]) ).

fof(f4008,plain,
    ( spl92_648
  <=> n3 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_648])]) ).

fof(f81,plain,
    n3 != n14,
    inference(cnf_transformation,[],[f5]) ).

fof(f4006,plain,
    spl92_647,
    inference(avatar_split_clause,[],[f461,f4003]) ).

fof(f4003,plain,
    ( spl92_647
  <=> n15 = sum(n3,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_647])]) ).

fof(f461,plain,
    n15 = sum(n3,n12),
    inference(cnf_transformation,[],[f5]) ).

fof(f4001,plain,
    spl92_646,
    inference(avatar_split_clause,[],[f217,f3998]) ).

fof(f3998,plain,
    ( spl92_646
  <=> sum(pred(sK81),sum(succ(sK60),sum(pred(sK42),succ(sK33)))) = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_646])]) ).

fof(f217,plain,
    sum(pred(sK81),sum(succ(sK60),sum(pred(sK42),succ(sK33)))) = sK1,
    inference(cnf_transformation,[],[f5]) ).

fof(f3996,plain,
    spl92_645,
    inference(avatar_split_clause,[],[f742,f3993]) ).

fof(f3993,plain,
    ( spl92_645
  <=> n11 = pred(n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_645])]) ).

fof(f742,plain,
    n11 = pred(n12),
    inference(cnf_transformation,[],[f5]) ).

fof(f3991,plain,
    spl92_644,
    inference(avatar_split_clause,[],[f438,f3988]) ).

fof(f3988,plain,
    ( spl92_644
  <=> n15 = sum(n0,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_644])]) ).

fof(f438,plain,
    n15 = sum(n0,n15),
    inference(cnf_transformation,[],[f5]) ).

fof(f3986,plain,
    spl92_643,
    inference(avatar_split_clause,[],[f310,f3983]) ).

fof(f3983,plain,
    ( spl92_643
  <=> sK30 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK62))))))))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_643])]) ).

fof(f310,plain,
    sK30 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK62))))))))))))))))))))),
    inference(cnf_transformation,[],[f5]) ).

fof(f3981,plain,
    ~ spl92_642,
    inference(avatar_split_clause,[],[f533,f3978]) ).

fof(f3978,plain,
    ( spl92_642
  <=> n4 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_642])]) ).

fof(f533,plain,
    n4 != n16,
    inference(cnf_transformation,[],[f5]) ).

fof(f3976,plain,
    ~ spl92_641,
    inference(avatar_split_clause,[],[f512,f3973]) ).

fof(f3973,plain,
    ( spl92_641
  <=> n16 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_641])]) ).

fof(f512,plain,
    n16 != n19,
    inference(cnf_transformation,[],[f5]) ).

fof(f3971,plain,
    ~ spl92_640,
    inference(avatar_split_clause,[],[f574,f3968]) ).

fof(f3968,plain,
    ( spl92_640
  <=> n0 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_640])]) ).

fof(f574,plain,
    n0 != n15,
    inference(cnf_transformation,[],[f5]) ).

fof(f3966,plain,
    spl92_639,
    inference(avatar_split_clause,[],[f406,f3963]) ).

fof(f3963,plain,
    ( spl92_639
  <=> n4 = sum(n9,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_639])]) ).

fof(f406,plain,
    n4 = sum(n9,n16),
    inference(cnf_transformation,[],[f5]) ).

fof(f3961,plain,
    spl92_638,
    inference(avatar_split_clause,[],[f198,f3958]) ).

fof(f3958,plain,
    ( spl92_638
  <=> n18 = sum(n13,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_638])]) ).

fof(f198,plain,
    n18 = sum(n13,n5),
    inference(cnf_transformation,[],[f5]) ).

fof(f3956,plain,
    spl92_637,
    inference(avatar_split_clause,[],[f613,f3953]) ).

fof(f3953,plain,
    ( spl92_637
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK85))))))))))))))))))))) = sK82 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_637])]) ).

fof(f613,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK85))))))))))))))))))))) = sK82,
    inference(cnf_transformation,[],[f5]) ).

fof(f3951,plain,
    ~ spl92_636,
    inference(avatar_split_clause,[],[f500,f3948]) ).

fof(f3948,plain,
    ( spl92_636
  <=> n11 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_636])]) ).

fof(f500,plain,
    n11 != n15,
    inference(cnf_transformation,[],[f5]) ).

fof(f3946,plain,
    ~ spl92_635,
    inference(avatar_split_clause,[],[f674,f3943]) ).

fof(f3943,plain,
    ( spl92_635
  <=> n5 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_635])]) ).

fof(f674,plain,
    n5 != n15,
    inference(cnf_transformation,[],[f5]) ).

fof(f3941,plain,
    spl92_634,
    inference(avatar_split_clause,[],[f54,f3938]) ).

fof(f3938,plain,
    ( spl92_634
  <=> n19 = sum(n2,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_634])]) ).

fof(f54,plain,
    n19 = sum(n2,n17),
    inference(cnf_transformation,[],[f5]) ).

fof(f3936,plain,
    ~ spl92_633,
    inference(avatar_split_clause,[],[f647,f3933]) ).

fof(f3933,plain,
    ( spl92_633
  <=> n1 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_633])]) ).

fof(f647,plain,
    n1 != n12,
    inference(cnf_transformation,[],[f5]) ).

fof(f3931,plain,
    ~ spl92_632,
    inference(avatar_split_clause,[],[f13,f3928]) ).

fof(f3928,plain,
    ( spl92_632
  <=> n12 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_632])]) ).

fof(f13,plain,
    n12 != n17,
    inference(cnf_transformation,[],[f5]) ).

fof(f3926,plain,
    spl92_631,
    inference(avatar_split_clause,[],[f228,f3923]) ).

fof(f3923,plain,
    ( spl92_631
  <=> n13 = pred(n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_631])]) ).

fof(f228,plain,
    n13 = pred(n14),
    inference(cnf_transformation,[],[f5]) ).

fof(f3921,plain,
    spl92_630,
    inference(avatar_split_clause,[],[f608,f3918]) ).

fof(f3918,plain,
    ( spl92_630
  <=> n14 = sum(n9,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_630])]) ).

fof(f608,plain,
    n14 = sum(n9,n5),
    inference(cnf_transformation,[],[f5]) ).

fof(f3916,plain,
    spl92_629,
    inference(avatar_split_clause,[],[f342,f3913]) ).

fof(f3913,plain,
    ( spl92_629
  <=> n18 = sum(n5,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_629])]) ).

fof(f342,plain,
    n18 = sum(n5,n13),
    inference(cnf_transformation,[],[f5]) ).

fof(f3911,plain,
    spl92_628,
    inference(avatar_split_clause,[],[f306,f3908]) ).

fof(f3908,plain,
    ( spl92_628
  <=> pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK14))))))))))))))))))))) = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_628])]) ).

fof(f306,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK14))))))))))))))))))))) = sK0,
    inference(cnf_transformation,[],[f5]) ).

fof(f3906,plain,
    spl92_627,
    inference(avatar_split_clause,[],[f101,f3903]) ).

fof(f3903,plain,
    ( spl92_627
  <=> n7 = sum(n13,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_627])]) ).

fof(f101,plain,
    n7 = sum(n13,n15),
    inference(cnf_transformation,[],[f5]) ).

fof(f3901,plain,
    spl92_626,
    inference(avatar_split_clause,[],[f514,f3898]) ).

fof(f3898,plain,
    ( spl92_626
  <=> n10 = sum(n9,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_626])]) ).

fof(f514,plain,
    n10 = sum(n9,n1),
    inference(cnf_transformation,[],[f5]) ).

fof(f3896,plain,
    ~ spl92_625,
    inference(avatar_split_clause,[],[f184,f3893]) ).

fof(f3893,plain,
    ( spl92_625
  <=> n1 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_625])]) ).

fof(f184,plain,
    n1 != n14,
    inference(cnf_transformation,[],[f5]) ).

fof(f3891,plain,
    spl92_624,
    inference(avatar_split_clause,[],[f654,f3888]) ).

fof(f3888,plain,
    ( spl92_624
  <=> sK21 = sum(pred(sK61),sum(succ(sK34),sum(pred(sK49),succ(sK32)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_624])]) ).

fof(f654,plain,
    sK21 = sum(pred(sK61),sum(succ(sK34),sum(pred(sK49),succ(sK32)))),
    inference(cnf_transformation,[],[f5]) ).

fof(f3886,plain,
    ~ spl92_623,
    inference(avatar_split_clause,[],[f59,f3883]) ).

fof(f3883,plain,
    ( spl92_623
  <=> n0 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_623])]) ).

fof(f59,plain,
    n0 != n13,
    inference(cnf_transformation,[],[f5]) ).

fof(f3881,plain,
    ~ spl92_622,
    inference(avatar_split_clause,[],[f104,f3878]) ).

fof(f3878,plain,
    ( spl92_622
  <=> n7 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_622])]) ).

fof(f104,plain,
    n7 != n14,
    inference(cnf_transformation,[],[f5]) ).

fof(f3876,plain,
    spl92_621,
    inference(avatar_split_clause,[],[f392,f3873]) ).

fof(f3873,plain,
    ( spl92_621
  <=> n4 = sum(n17,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_621])]) ).

fof(f392,plain,
    n4 = sum(n17,n8),
    inference(cnf_transformation,[],[f5]) ).

fof(f3871,plain,
    ~ spl92_620,
    inference(avatar_split_clause,[],[f311,f3868]) ).

fof(f3868,plain,
    ( spl92_620
  <=> n0 = n2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_620])]) ).

fof(f311,plain,
    n0 != n2,
    inference(cnf_transformation,[],[f5]) ).

fof(f3866,plain,
    spl92_619,
    inference(avatar_split_clause,[],[f578,f3863]) ).

fof(f3863,plain,
    ( spl92_619
  <=> sum(sum(pred(sK64),succ(sK84)),sum(pred(sK84),succ(sK64))) = sK47 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_619])]) ).

fof(f578,plain,
    sum(sum(pred(sK64),succ(sK84)),sum(pred(sK84),succ(sK64))) = sK47,
    inference(cnf_transformation,[],[f5]) ).

fof(f3861,plain,
    spl92_618,
    inference(avatar_split_clause,[],[f28,f3858]) ).

fof(f3858,plain,
    ( spl92_618
  <=> n19 = sum(n19,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_618])]) ).

fof(f28,plain,
    n19 = sum(n19,n0),
    inference(cnf_transformation,[],[f5]) ).

fof(f3856,plain,
    spl92_617,
    inference(avatar_split_clause,[],[f337,f3853]) ).

fof(f3853,plain,
    ( spl92_617
  <=> sum(sum(pred(sK76),succ(sK91)),sum(pred(sK91),succ(sK76))) = sK35 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_617])]) ).

fof(f337,plain,
    sum(sum(pred(sK76),succ(sK91)),sum(pred(sK91),succ(sK76))) = sK35,
    inference(cnf_transformation,[],[f5]) ).

fof(f3851,plain,
    spl92_616,
    inference(avatar_split_clause,[],[f145,f3848]) ).

fof(f3848,plain,
    ( spl92_616
  <=> n9 = sum(n6,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_616])]) ).

fof(f145,plain,
    n9 = sum(n6,n3),
    inference(cnf_transformation,[],[f5]) ).

fof(f3846,plain,
    ~ spl92_615,
    inference(avatar_split_clause,[],[f327,f3843]) ).

fof(f3843,plain,
    ( spl92_615
  <=> n1 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_615])]) ).

fof(f327,plain,
    n1 != n10,
    inference(cnf_transformation,[],[f5]) ).

fof(f3841,plain,
    spl92_614,
    inference(avatar_split_clause,[],[f476,f3838]) ).

fof(f3838,plain,
    ( spl92_614
  <=> n12 = sum(n7,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_614])]) ).

fof(f476,plain,
    n12 = sum(n7,n5),
    inference(cnf_transformation,[],[f5]) ).

fof(f3836,plain,
    spl92_613,
    inference(avatar_split_clause,[],[f679,f3833]) ).

fof(f3833,plain,
    ( spl92_613
  <=> n8 = sum(n6,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_613])]) ).

fof(f679,plain,
    n8 = sum(n6,n2),
    inference(cnf_transformation,[],[f5]) ).

fof(f3831,plain,
    ~ spl92_612,
    inference(avatar_split_clause,[],[f221,f3828]) ).

fof(f3828,plain,
    ( spl92_612
  <=> n3 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_612])]) ).

fof(f221,plain,
    n3 != n17,
    inference(cnf_transformation,[],[f5]) ).

fof(f3826,plain,
    spl92_611,
    inference(avatar_split_clause,[],[f487,f3823]) ).

fof(f3823,plain,
    ( spl92_611
  <=> n4 = sum(n0,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_611])]) ).

fof(f487,plain,
    n4 = sum(n0,n4),
    inference(cnf_transformation,[],[f5]) ).

fof(f3821,plain,
    spl92_610,
    inference(avatar_split_clause,[],[f351,f3818]) ).

fof(f3818,plain,
    ( spl92_610
  <=> n5 = sum(n0,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_610])]) ).

fof(f351,plain,
    n5 = sum(n0,n5),
    inference(cnf_transformation,[],[f5]) ).

fof(f3816,plain,
    spl92_609,
    inference(avatar_split_clause,[],[f231,f3813]) ).

fof(f3813,plain,
    ( spl92_609
  <=> n18 = sum(n10,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_609])]) ).

fof(f231,plain,
    n18 = sum(n10,n8),
    inference(cnf_transformation,[],[f5]) ).

fof(f3811,plain,
    ~ spl92_608,
    inference(avatar_split_clause,[],[f510,f3808]) ).

fof(f3808,plain,
    ( spl92_608
  <=> n12 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_608])]) ).

fof(f510,plain,
    n12 != n15,
    inference(cnf_transformation,[],[f5]) ).

fof(f3806,plain,
    spl92_607,
    inference(avatar_split_clause,[],[f527,f3803]) ).

fof(f3803,plain,
    ( spl92_607
  <=> n5 = sum(n16,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_607])]) ).

fof(f527,plain,
    n5 = sum(n16,n10),
    inference(cnf_transformation,[],[f5]) ).

fof(f3801,plain,
    spl92_606,
    inference(avatar_split_clause,[],[f213,f3798]) ).

fof(f3798,plain,
    ( spl92_606
  <=> n1 = sum(n8,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_606])]) ).

fof(f213,plain,
    n1 = sum(n8,n14),
    inference(cnf_transformation,[],[f5]) ).

fof(f3796,plain,
    ~ spl92_605,
    inference(avatar_split_clause,[],[f277,f3793]) ).

fof(f3793,plain,
    ( spl92_605
  <=> n2 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_605])]) ).

fof(f277,plain,
    n2 != n15,
    inference(cnf_transformation,[],[f5]) ).

fof(f3791,plain,
    spl92_604,
    inference(avatar_split_clause,[],[f207,f3788]) ).

fof(f3788,plain,
    ( spl92_604
  <=> n3 = sum(n7,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_604])]) ).

fof(f207,plain,
    n3 = sum(n7,n17),
    inference(cnf_transformation,[],[f5]) ).

fof(f3786,plain,
    spl92_603,
    inference(avatar_split_clause,[],[f17,f3783]) ).

fof(f3783,plain,
    ( spl92_603
  <=> n19 = sum(n20,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_603])]) ).

fof(f17,plain,
    n19 = sum(n20,n20),
    inference(cnf_transformation,[],[f5]) ).

fof(f3781,plain,
    spl92_602,
    inference(avatar_split_clause,[],[f697,f3778]) ).

fof(f3778,plain,
    ( spl92_602
  <=> n16 = sum(n4,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_602])]) ).

fof(f697,plain,
    n16 = sum(n4,n12),
    inference(cnf_transformation,[],[f5]) ).

fof(f3776,plain,
    spl92_601,
    inference(avatar_split_clause,[],[f314,f3773]) ).

fof(f3773,plain,
    ( spl92_601
  <=> n13 = sum(n14,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_601])]) ).

fof(f314,plain,
    n13 = sum(n14,n20),
    inference(cnf_transformation,[],[f5]) ).

fof(f3771,plain,
    spl92_600,
    inference(avatar_split_clause,[],[f94,f3768]) ).

fof(f3768,plain,
    ( spl92_600
  <=> n4 = sum(n8,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_600])]) ).

fof(f94,plain,
    n4 = sum(n8,n17),
    inference(cnf_transformation,[],[f5]) ).

fof(f3766,plain,
    spl92_599,
    inference(avatar_split_clause,[],[f744,f3763]) ).

fof(f3763,plain,
    ( spl92_599
  <=> n2 = sum(n8,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_599])]) ).

fof(f744,plain,
    n2 = sum(n8,n15),
    inference(cnf_transformation,[],[f5]) ).

fof(f3761,plain,
    ~ spl92_598,
    inference(avatar_split_clause,[],[f211,f3758]) ).

fof(f3758,plain,
    ( spl92_598
  <=> n0 = n6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_598])]) ).

fof(f211,plain,
    n0 != n6,
    inference(cnf_transformation,[],[f5]) ).

fof(f3756,plain,
    spl92_597,
    inference(avatar_split_clause,[],[f246,f3753]) ).

fof(f3753,plain,
    ( spl92_597
  <=> n17 = pred(n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_597])]) ).

fof(f246,plain,
    n17 = pred(n18),
    inference(cnf_transformation,[],[f5]) ).

fof(f3751,plain,
    spl92_596,
    inference(avatar_split_clause,[],[f595,f3748]) ).

fof(f3748,plain,
    ( spl92_596
  <=> n10 = sum(n14,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_596])]) ).

fof(f595,plain,
    n10 = sum(n14,n17),
    inference(cnf_transformation,[],[f5]) ).

fof(f3746,plain,
    spl92_595,
    inference(avatar_split_clause,[],[f768,f3743]) ).

fof(f3743,plain,
    ( spl92_595
  <=> n7 = sum(n18,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_595])]) ).

fof(f768,plain,
    n7 = sum(n18,n10),
    inference(cnf_transformation,[],[f5]) ).

fof(f3741,plain,
    spl92_594,
    inference(avatar_split_clause,[],[f201,f3738]) ).

fof(f3738,plain,
    ( spl92_594
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK8))))))))))))))))))))) = sK57 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_594])]) ).

fof(f201,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK8))))))))))))))))))))) = sK57,
    inference(cnf_transformation,[],[f5]) ).

fof(f3736,plain,
    spl92_593,
    inference(avatar_split_clause,[],[f266,f3733]) ).

fof(f3733,plain,
    ( spl92_593
  <=> n16 = sum(n6,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_593])]) ).

fof(f266,plain,
    n16 = sum(n6,n10),
    inference(cnf_transformation,[],[f5]) ).

fof(f3731,plain,
    spl92_592,
    inference(avatar_split_clause,[],[f638,f3728]) ).

fof(f3728,plain,
    ( spl92_592
  <=> n17 = sum(n19,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_592])]) ).

fof(f638,plain,
    n17 = sum(n19,n19),
    inference(cnf_transformation,[],[f5]) ).

fof(f3726,plain,
    spl92_591,
    inference(avatar_split_clause,[],[f338,f3723]) ).

fof(f3723,plain,
    ( spl92_591
  <=> sK22 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK15))))))))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_591])]) ).

fof(f338,plain,
    sK22 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK15))))))))))))))))))))),
    inference(cnf_transformation,[],[f5]) ).

fof(f3721,plain,
    ~ spl92_590,
    inference(avatar_split_clause,[],[f116,f3718]) ).

fof(f3718,plain,
    ( spl92_590
  <=> n4 = n6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_590])]) ).

fof(f116,plain,
    n4 != n6,
    inference(cnf_transformation,[],[f5]) ).

fof(f3716,plain,
    spl92_589,
    inference(avatar_split_clause,[],[f152,f3713]) ).

fof(f3713,plain,
    ( spl92_589
  <=> n0 = sum(n7,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_589])]) ).

fof(f152,plain,
    n0 = sum(n7,n14),
    inference(cnf_transformation,[],[f5]) ).

fof(f3711,plain,
    ~ spl92_588,
    inference(avatar_split_clause,[],[f25,f3708]) ).

fof(f3708,plain,
    ( spl92_588
  <=> n7 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_588])]) ).

fof(f25,plain,
    n7 != n11,
    inference(cnf_transformation,[],[f5]) ).

fof(f3706,plain,
    spl92_587,
    inference(avatar_split_clause,[],[f129,f3703]) ).

fof(f3703,plain,
    ( spl92_587
  <=> n11 = sum(n7,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_587])]) ).

fof(f129,plain,
    n11 = sum(n7,n4),
    inference(cnf_transformation,[],[f5]) ).

fof(f3701,plain,
    spl92_586,
    inference(avatar_split_clause,[],[f295,f3698]) ).

fof(f3698,plain,
    ( spl92_586
  <=> sum(pred(sK30),sum(succ(sK59),sum(pred(sK27),succ(sK63)))) = sK51 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_586])]) ).

fof(f295,plain,
    sum(pred(sK30),sum(succ(sK59),sum(pred(sK27),succ(sK63)))) = sK51,
    inference(cnf_transformation,[],[f5]) ).

fof(f3696,plain,
    spl92_585,
    inference(avatar_split_clause,[],[f22,f3693]) ).

fof(f3693,plain,
    ( spl92_585
  <=> n19 = sum(n3,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_585])]) ).

fof(f22,plain,
    n19 = sum(n3,n16),
    inference(cnf_transformation,[],[f5]) ).

fof(f3691,plain,
    spl92_584,
    inference(avatar_split_clause,[],[f502,f3688]) ).

fof(f3688,plain,
    ( spl92_584
  <=> n15 = sum(n10,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_584])]) ).

fof(f502,plain,
    n15 = sum(n10,n5),
    inference(cnf_transformation,[],[f5]) ).

fof(f3686,plain,
    spl92_583,
    inference(avatar_split_clause,[],[f417,f3683]) ).

fof(f3683,plain,
    ( spl92_583
  <=> n5 = sum(n11,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_583])]) ).

fof(f417,plain,
    n5 = sum(n11,n15),
    inference(cnf_transformation,[],[f5]) ).

fof(f3681,plain,
    ~ spl92_582,
    inference(avatar_split_clause,[],[f727,f3678]) ).

fof(f3678,plain,
    ( spl92_582
  <=> n13 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_582])]) ).

fof(f727,plain,
    n13 != n14,
    inference(cnf_transformation,[],[f5]) ).

fof(f3676,plain,
    ~ spl92_581,
    inference(avatar_split_clause,[],[f564,f3673]) ).

fof(f3673,plain,
    ( spl92_581
  <=> n14 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_581])]) ).

fof(f564,plain,
    n14 != n19,
    inference(cnf_transformation,[],[f5]) ).

fof(f3671,plain,
    ~ spl92_580,
    inference(avatar_split_clause,[],[f257,f3668]) ).

fof(f3668,plain,
    ( spl92_580
  <=> n0 = n3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_580])]) ).

fof(f257,plain,
    n0 != n3,
    inference(cnf_transformation,[],[f5]) ).

fof(f3666,plain,
    spl92_579,
    inference(avatar_split_clause,[],[f375,f3663]) ).

fof(f3663,plain,
    ( spl92_579
  <=> n10 = sum(n13,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_579])]) ).

fof(f375,plain,
    n10 = sum(n13,n18),
    inference(cnf_transformation,[],[f5]) ).

fof(f3661,plain,
    ~ spl92_578,
    inference(avatar_split_clause,[],[f79,f3658]) ).

fof(f3658,plain,
    ( spl92_578
  <=> n2 = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_578])]) ).

fof(f79,plain,
    n2 != n7,
    inference(cnf_transformation,[],[f5]) ).

fof(f3656,plain,
    spl92_577,
    inference(avatar_split_clause,[],[f719,f3653]) ).

fof(f3653,plain,
    ( spl92_577
  <=> n16 = sum(n19,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_577])]) ).

fof(f719,plain,
    n16 = sum(n19,n18),
    inference(cnf_transformation,[],[f5]) ).

fof(f3651,plain,
    ~ spl92_576,
    inference(avatar_split_clause,[],[f702,f3648]) ).

fof(f3648,plain,
    ( spl92_576
  <=> n11 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_576])]) ).

fof(f702,plain,
    n11 != n19,
    inference(cnf_transformation,[],[f5]) ).

fof(f3646,plain,
    ~ spl92_575,
    inference(avatar_split_clause,[],[f63,f3643]) ).

fof(f3643,plain,
    ( spl92_575
  <=> n17 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_575])]) ).

fof(f63,plain,
    n17 != n20,
    inference(cnf_transformation,[],[f5]) ).

fof(f3641,plain,
    ~ spl92_574,
    inference(avatar_split_clause,[],[f738,f3638]) ).

fof(f3638,plain,
    ( spl92_574
  <=> n9 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_574])]) ).

fof(f738,plain,
    n9 != n14,
    inference(cnf_transformation,[],[f5]) ).

fof(f3636,plain,
    spl92_573,
    inference(avatar_split_clause,[],[f603,f3633]) ).

fof(f3633,plain,
    ( spl92_573
  <=> pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK21))))))))))))))))))))) = sK69 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_573])]) ).

fof(f603,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK21))))))))))))))))))))) = sK69,
    inference(cnf_transformation,[],[f5]) ).

fof(f3631,plain,
    spl92_572,
    inference(avatar_split_clause,[],[f123,f3628]) ).

fof(f3628,plain,
    ( spl92_572
  <=> n9 = sum(n9,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_572])]) ).

fof(f123,plain,
    n9 = sum(n9,n0),
    inference(cnf_transformation,[],[f5]) ).

fof(f3626,plain,
    spl92_571,
    inference(avatar_split_clause,[],[f482,f3623]) ).

fof(f3623,plain,
    ( spl92_571
  <=> n0 = sum(n8,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_571])]) ).

fof(f482,plain,
    n0 = sum(n8,n13),
    inference(cnf_transformation,[],[f5]) ).

fof(f3621,plain,
    spl92_570,
    inference(avatar_split_clause,[],[f97,f3618]) ).

fof(f3618,plain,
    ( spl92_570
  <=> n7 = sum(n17,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_570])]) ).

fof(f97,plain,
    n7 = sum(n17,n11),
    inference(cnf_transformation,[],[f5]) ).

fof(f3616,plain,
    spl92_569,
    inference(avatar_split_clause,[],[f35,f3613]) ).

fof(f3613,plain,
    ( spl92_569
  <=> n8 = sum(n17,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_569])]) ).

fof(f35,plain,
    n8 = sum(n17,n12),
    inference(cnf_transformation,[],[f5]) ).

fof(f3611,plain,
    spl92_568,
    inference(avatar_split_clause,[],[f784,f3608]) ).

fof(f3608,plain,
    ( spl92_568
  <=> n11 = sum(n13,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_568])]) ).

fof(f784,plain,
    n11 = sum(n13,n19),
    inference(cnf_transformation,[],[f5]) ).

fof(f3606,plain,
    spl92_567,
    inference(avatar_split_clause,[],[f172,f3603]) ).

fof(f3603,plain,
    ( spl92_567
  <=> sum(sum(pred(sK38),succ(sK8)),sum(pred(sK8),succ(sK38))) = sK76 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_567])]) ).

fof(f172,plain,
    sum(sum(pred(sK38),succ(sK8)),sum(pred(sK8),succ(sK38))) = sK76,
    inference(cnf_transformation,[],[f5]) ).

fof(f3601,plain,
    spl92_566,
    inference(avatar_split_clause,[],[f414,f3598]) ).

fof(f3598,plain,
    ( spl92_566
  <=> n3 = sum(n10,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_566])]) ).

fof(f414,plain,
    n3 = sum(n10,n14),
    inference(cnf_transformation,[],[f5]) ).

fof(f3596,plain,
    spl92_565,
    inference(avatar_split_clause,[],[f355,f3593]) ).

fof(f3593,plain,
    ( spl92_565
  <=> sK18 = sum(sum(pred(sK24),succ(sK51)),sum(pred(sK51),succ(sK24))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_565])]) ).

fof(f355,plain,
    sK18 = sum(sum(pred(sK24),succ(sK51)),sum(pred(sK51),succ(sK24))),
    inference(cnf_transformation,[],[f5]) ).

fof(f3591,plain,
    ~ spl92_564,
    inference(avatar_split_clause,[],[f60,f3588]) ).

fof(f3588,plain,
    ( spl92_564
  <=> n12 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_564])]) ).

fof(f60,plain,
    n12 != n13,
    inference(cnf_transformation,[],[f5]) ).

fof(f3586,plain,
    ~ spl92_563,
    inference(avatar_split_clause,[],[f474,f3583]) ).

fof(f3583,plain,
    ( spl92_563
  <=> n6 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_563])]) ).

fof(f474,plain,
    n6 != n19,
    inference(cnf_transformation,[],[f5]) ).

fof(f3581,plain,
    spl92_562,
    inference(avatar_split_clause,[],[f499,f3578]) ).

fof(f3578,plain,
    ( spl92_562
  <=> sK45 = sum(pred(sK53),sum(succ(sK12),sum(pred(sK87),succ(sK79)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_562])]) ).

fof(f499,plain,
    sK45 = sum(pred(sK53),sum(succ(sK12),sum(pred(sK87),succ(sK79)))),
    inference(cnf_transformation,[],[f5]) ).

fof(f3576,plain,
    spl92_561,
    inference(avatar_split_clause,[],[f42,f3573]) ).

fof(f3573,plain,
    ( spl92_561
  <=> n5 = sum(n13,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_561])]) ).

fof(f42,plain,
    n5 = sum(n13,n13),
    inference(cnf_transformation,[],[f5]) ).

fof(f3571,plain,
    ~ spl92_560,
    inference(avatar_split_clause,[],[f774,f3568]) ).

fof(f3568,plain,
    ( spl92_560
  <=> n16 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_560])]) ).

fof(f774,plain,
    n16 != n17,
    inference(cnf_transformation,[],[f5]) ).

fof(f3566,plain,
    spl92_559,
    inference(avatar_split_clause,[],[f113,f3563]) ).

fof(f3563,plain,
    ( spl92_559
  <=> n14 = pred(n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_559])]) ).

fof(f113,plain,
    n14 = pred(n15),
    inference(cnf_transformation,[],[f5]) ).

fof(f3561,plain,
    spl92_558,
    inference(avatar_split_clause,[],[f58,f3558]) ).

fof(f3558,plain,
    ( spl92_558
  <=> n0 = sum(n11,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_558])]) ).

fof(f58,plain,
    n0 = sum(n11,n10),
    inference(cnf_transformation,[],[f5]) ).

fof(f3556,plain,
    ~ spl92_557,
    inference(avatar_split_clause,[],[f648,f3553]) ).

fof(f3553,plain,
    ( spl92_557
  <=> n8 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_557])]) ).

fof(f648,plain,
    n8 != n11,
    inference(cnf_transformation,[],[f5]) ).

fof(f3551,plain,
    spl92_556,
    inference(avatar_split_clause,[],[f194,f3548]) ).

fof(f3548,plain,
    ( spl92_556
  <=> n15 = sum(n7,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_556])]) ).

fof(f194,plain,
    n15 = sum(n7,n8),
    inference(cnf_transformation,[],[f5]) ).

fof(f3546,plain,
    spl92_555,
    inference(avatar_split_clause,[],[f572,f3543]) ).

fof(f3543,plain,
    ( spl92_555
  <=> n2 = sum(n5,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_555])]) ).

fof(f572,plain,
    n2 = sum(n5,n18),
    inference(cnf_transformation,[],[f5]) ).

fof(f3541,plain,
    spl92_554,
    inference(avatar_split_clause,[],[f341,f3538]) ).

fof(f3538,plain,
    ( spl92_554
  <=> n6 = sum(n9,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_554])]) ).

fof(f341,plain,
    n6 = sum(n9,n18),
    inference(cnf_transformation,[],[f5]) ).

fof(f3536,plain,
    spl92_553,
    inference(avatar_split_clause,[],[f640,f3533]) ).

fof(f3533,plain,
    ( spl92_553
  <=> n14 = sum(n17,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_553])]) ).

fof(f640,plain,
    n14 = sum(n17,n18),
    inference(cnf_transformation,[],[f5]) ).

fof(f3531,plain,
    spl92_552,
    inference(avatar_split_clause,[],[f11,f3528]) ).

fof(f3528,plain,
    ( spl92_552
  <=> n6 = sum(n3,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_552])]) ).

fof(f11,plain,
    n6 = sum(n3,n3),
    inference(cnf_transformation,[],[f5]) ).

fof(f3526,plain,
    spl92_551,
    inference(avatar_split_clause,[],[f154,f3523]) ).

fof(f3523,plain,
    ( spl92_551
  <=> n4 = sum(n18,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_551])]) ).

fof(f154,plain,
    n4 = sum(n18,n7),
    inference(cnf_transformation,[],[f5]) ).

fof(f3521,plain,
    ~ spl92_550,
    inference(avatar_split_clause,[],[f169,f3518]) ).

fof(f3518,plain,
    ( spl92_550
  <=> n4 = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_550])]) ).

fof(f169,plain,
    n4 != n7,
    inference(cnf_transformation,[],[f5]) ).

fof(f3516,plain,
    spl92_549,
    inference(avatar_split_clause,[],[f237,f3513]) ).

fof(f3513,plain,
    ( spl92_549
  <=> n7 = sum(n4,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_549])]) ).

fof(f237,plain,
    n7 = sum(n4,n3),
    inference(cnf_transformation,[],[f5]) ).

fof(f3511,plain,
    ~ spl92_548,
    inference(avatar_split_clause,[],[f677,f3508]) ).

fof(f3508,plain,
    ( spl92_548
  <=> n3 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_548])]) ).

fof(f677,plain,
    n3 != n12,
    inference(cnf_transformation,[],[f5]) ).

fof(f3506,plain,
    spl92_547,
    inference(avatar_split_clause,[],[f715,f3503]) ).

fof(f3503,plain,
    ( spl92_547
  <=> n20 = sum(n5,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_547])]) ).

fof(f715,plain,
    n20 = sum(n5,n15),
    inference(cnf_transformation,[],[f5]) ).

fof(f3501,plain,
    ~ spl92_546,
    inference(avatar_split_clause,[],[f49,f3498]) ).

fof(f3498,plain,
    ( spl92_546
  <=> n7 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_546])]) ).

fof(f49,plain,
    n7 != n9,
    inference(cnf_transformation,[],[f5]) ).

fof(f3496,plain,
    spl92_545,
    inference(avatar_split_clause,[],[f243,f3493]) ).

fof(f3493,plain,
    ( spl92_545
  <=> n10 = sum(n19,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_545])]) ).

fof(f243,plain,
    n10 = sum(n19,n12),
    inference(cnf_transformation,[],[f5]) ).

fof(f3491,plain,
    spl92_544,
    inference(avatar_split_clause,[],[f522,f3488]) ).

fof(f3488,plain,
    ( spl92_544
  <=> n3 = sum(n14,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_544])]) ).

fof(f522,plain,
    n3 = sum(n14,n10),
    inference(cnf_transformation,[],[f5]) ).

fof(f3486,plain,
    spl92_543,
    inference(avatar_split_clause,[],[f528,f3483]) ).

fof(f3483,plain,
    ( spl92_543
  <=> n18 = sum(n1,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_543])]) ).

fof(f528,plain,
    n18 = sum(n1,n17),
    inference(cnf_transformation,[],[f5]) ).

fof(f3481,plain,
    spl92_542,
    inference(avatar_split_clause,[],[f278,f3478]) ).

fof(f3478,plain,
    ( spl92_542
  <=> n19 = sum(n10,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_542])]) ).

fof(f278,plain,
    n19 = sum(n10,n9),
    inference(cnf_transformation,[],[f5]) ).

fof(f3476,plain,
    spl92_541,
    inference(avatar_split_clause,[],[f609,f3473]) ).

fof(f3473,plain,
    ( spl92_541
  <=> n4 = sum(n2,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_541])]) ).

fof(f609,plain,
    n4 = sum(n2,n2),
    inference(cnf_transformation,[],[f5]) ).

fof(f3471,plain,
    spl92_540,
    inference(avatar_split_clause,[],[f532,f3468]) ).

fof(f3468,plain,
    ( spl92_540
  <=> n17 = sum(n18,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_540])]) ).

fof(f532,plain,
    n17 = sum(n18,n20),
    inference(cnf_transformation,[],[f5]) ).

fof(f3466,plain,
    spl92_539,
    inference(avatar_split_clause,[],[f365,f3463]) ).

fof(f3463,plain,
    ( spl92_539
  <=> n0 = sum(n13,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_539])]) ).

fof(f365,plain,
    n0 = sum(n13,n8),
    inference(cnf_transformation,[],[f5]) ).

fof(f3461,plain,
    spl92_538,
    inference(avatar_split_clause,[],[f265,f3458]) ).

fof(f3458,plain,
    ( spl92_538
  <=> n7 = sum(n19,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_538])]) ).

fof(f265,plain,
    n7 = sum(n19,n9),
    inference(cnf_transformation,[],[f5]) ).

fof(f3456,plain,
    ~ spl92_537,
    inference(avatar_split_clause,[],[f625,f3453]) ).

fof(f3453,plain,
    ( spl92_537
  <=> n9 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_537])]) ).

fof(f625,plain,
    n9 != n10,
    inference(cnf_transformation,[],[f5]) ).

fof(f3451,plain,
    spl92_536,
    inference(avatar_split_clause,[],[f16,f3448]) ).

fof(f3448,plain,
    ( spl92_536
  <=> n18 = sum(n19,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_536])]) ).

fof(f16,plain,
    n18 = sum(n19,n20),
    inference(cnf_transformation,[],[f5]) ).

fof(f3446,plain,
    spl92_535,
    inference(avatar_split_clause,[],[f731,f3443]) ).

fof(f3443,plain,
    ( spl92_535
  <=> n9 = sum(n10,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_535])]) ).

fof(f731,plain,
    n9 = sum(n10,n20),
    inference(cnf_transformation,[],[f5]) ).

fof(f3441,plain,
    spl92_534,
    inference(avatar_split_clause,[],[f103,f3438]) ).

fof(f3438,plain,
    ( spl92_534
  <=> pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK13))))))))))))))))))))) = sK77 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_534])]) ).

fof(f103,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK13))))))))))))))))))))) = sK77,
    inference(cnf_transformation,[],[f5]) ).

fof(f3436,plain,
    ~ spl92_533,
    inference(avatar_split_clause,[],[f135,f3433]) ).

fof(f3433,plain,
    ( spl92_533
  <=> n3 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_533])]) ).

fof(f135,plain,
    n3 != n8,
    inference(cnf_transformation,[],[f5]) ).

fof(f3431,plain,
    spl92_532,
    inference(avatar_split_clause,[],[f304,f3428]) ).

fof(f3428,plain,
    ( spl92_532
  <=> n7 = sum(n11,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_532])]) ).

fof(f304,plain,
    n7 = sum(n11,n17),
    inference(cnf_transformation,[],[f5]) ).

fof(f3426,plain,
    ~ spl92_531,
    inference(avatar_split_clause,[],[f642,f3423]) ).

fof(f3423,plain,
    ( spl92_531
  <=> n15 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_531])]) ).

fof(f642,plain,
    n15 != n17,
    inference(cnf_transformation,[],[f5]) ).

fof(f3421,plain,
    spl92_530,
    inference(avatar_split_clause,[],[f219,f3418]) ).

fof(f3418,plain,
    ( spl92_530
  <=> n20 = sum(n1,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_530])]) ).

fof(f219,plain,
    n20 = sum(n1,n19),
    inference(cnf_transformation,[],[f5]) ).

fof(f3416,plain,
    spl92_529,
    inference(avatar_split_clause,[],[f224,f3413]) ).

fof(f3413,plain,
    ( spl92_529
  <=> n0 = sum(n2,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_529])]) ).

fof(f224,plain,
    n0 = sum(n2,n19),
    inference(cnf_transformation,[],[f5]) ).

fof(f3411,plain,
    spl92_528,
    inference(avatar_split_clause,[],[f378,f3408]) ).

fof(f3408,plain,
    ( spl92_528
  <=> pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK85))))))))))))))))))))) = sK74 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_528])]) ).

fof(f378,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK85))))))))))))))))))))) = sK74,
    inference(cnf_transformation,[],[f5]) ).

fof(f3406,plain,
    ~ spl92_527,
    inference(avatar_split_clause,[],[f407,f3403]) ).

fof(f3403,plain,
    ( spl92_527
  <=> n8 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_527])]) ).

fof(f407,plain,
    n8 != n14,
    inference(cnf_transformation,[],[f5]) ).

fof(f3401,plain,
    spl92_526,
    inference(avatar_split_clause,[],[f155,f3398]) ).

fof(f3398,plain,
    ( spl92_526
  <=> n3 = sum(n0,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_526])]) ).

fof(f155,plain,
    n3 = sum(n0,n3),
    inference(cnf_transformation,[],[f5]) ).

fof(f3396,plain,
    spl92_525,
    inference(avatar_split_clause,[],[f684,f3393]) ).

fof(f3393,plain,
    ( spl92_525
  <=> n4 = sum(n3,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_525])]) ).

fof(f684,plain,
    n4 = sum(n3,n1),
    inference(cnf_transformation,[],[f5]) ).

fof(f3391,plain,
    ~ spl92_524,
    inference(avatar_split_clause,[],[f200,f3388]) ).

fof(f3388,plain,
    ( spl92_524
  <=> n8 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_524])]) ).

fof(f200,plain,
    n8 != n12,
    inference(cnf_transformation,[],[f5]) ).

fof(f3386,plain,
    ~ spl92_523,
    inference(avatar_split_clause,[],[f98,f3383]) ).

fof(f3383,plain,
    ( spl92_523
  <=> n9 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_523])]) ).

fof(f98,plain,
    n9 != n11,
    inference(cnf_transformation,[],[f5]) ).

fof(f3381,plain,
    spl92_522,
    inference(avatar_split_clause,[],[f408,f3378]) ).

fof(f3378,plain,
    ( spl92_522
  <=> n8 = sum(n4,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_522])]) ).

fof(f408,plain,
    n8 = sum(n4,n4),
    inference(cnf_transformation,[],[f5]) ).

fof(f3376,plain,
    ~ spl92_521,
    inference(avatar_split_clause,[],[f138,f3373]) ).

fof(f3373,plain,
    ( spl92_521
  <=> n10 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_521])]) ).

fof(f138,plain,
    n10 != n20,
    inference(cnf_transformation,[],[f5]) ).

fof(f3371,plain,
    spl92_520,
    inference(avatar_split_clause,[],[f208,f3368]) ).

fof(f3368,plain,
    ( spl92_520
  <=> n9 = sum(n19,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_520])]) ).

fof(f208,plain,
    n9 = sum(n19,n11),
    inference(cnf_transformation,[],[f5]) ).

fof(f3366,plain,
    ~ spl92_519,
    inference(avatar_split_clause,[],[f718,f3363]) ).

fof(f3363,plain,
    ( spl92_519
  <=> n16 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_519])]) ).

fof(f718,plain,
    n16 != n18,
    inference(cnf_transformation,[],[f5]) ).

fof(f3361,plain,
    ~ spl92_518,
    inference(avatar_split_clause,[],[f324,f3358]) ).

fof(f3358,plain,
    ( spl92_518
  <=> n11 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_518])]) ).

fof(f324,plain,
    n11 != n17,
    inference(cnf_transformation,[],[f5]) ).

fof(f3356,plain,
    spl92_517,
    inference(avatar_split_clause,[],[f204,f3353]) ).

fof(f3353,plain,
    ( spl92_517
  <=> n11 = sum(n10,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_517])]) ).

fof(f204,plain,
    n11 = sum(n10,n1),
    inference(cnf_transformation,[],[f5]) ).

fof(f3351,plain,
    spl92_516,
    inference(avatar_split_clause,[],[f332,f3348]) ).

fof(f3348,plain,
    ( spl92_516
  <=> n4 = sum(n10,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_516])]) ).

fof(f332,plain,
    n4 = sum(n10,n15),
    inference(cnf_transformation,[],[f5]) ).

fof(f3346,plain,
    spl92_515,
    inference(avatar_split_clause,[],[f750,f3343]) ).

fof(f3343,plain,
    ( spl92_515
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK1))))))))))))))))))))) = sK27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_515])]) ).

fof(f750,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK1))))))))))))))))))))) = sK27,
    inference(cnf_transformation,[],[f5]) ).

fof(f3341,plain,
    spl92_514,
    inference(avatar_split_clause,[],[f761,f3338]) ).

fof(f3338,plain,
    ( spl92_514
  <=> n1 = sum(n4,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_514])]) ).

fof(f761,plain,
    n1 = sum(n4,n18),
    inference(cnf_transformation,[],[f5]) ).

fof(f3336,plain,
    spl92_513,
    inference(avatar_split_clause,[],[f56,f3333]) ).

fof(f3333,plain,
    ( spl92_513
  <=> n14 = sum(n13,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_513])]) ).

fof(f56,plain,
    n14 = sum(n13,n1),
    inference(cnf_transformation,[],[f5]) ).

fof(f3331,plain,
    spl92_512,
    inference(avatar_split_clause,[],[f446,f3328]) ).

fof(f3328,plain,
    ( spl92_512
  <=> n15 = sum(n14,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_512])]) ).

fof(f446,plain,
    n15 = sum(n14,n1),
    inference(cnf_transformation,[],[f5]) ).

fof(f3326,plain,
    spl92_511,
    inference(avatar_split_clause,[],[f273,f3323]) ).

fof(f3323,plain,
    ( spl92_511
  <=> sK2 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK55))))))))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_511])]) ).

fof(f273,plain,
    sK2 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK55))))))))))))))))))))),
    inference(cnf_transformation,[],[f5]) ).

fof(f3321,plain,
    spl92_510,
    inference(avatar_split_clause,[],[f630,f3318]) ).

fof(f3318,plain,
    ( spl92_510
  <=> sK64 = sum(sum(pred(sK36),succ(sK14)),sum(pred(sK14),succ(sK36))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_510])]) ).

fof(f630,plain,
    sK64 = sum(sum(pred(sK36),succ(sK14)),sum(pred(sK14),succ(sK36))),
    inference(cnf_transformation,[],[f5]) ).

fof(f3316,plain,
    spl92_509,
    inference(avatar_split_clause,[],[f785,f3313]) ).

fof(f3313,plain,
    ( spl92_509
  <=> n20 = sum(n16,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_509])]) ).

fof(f785,plain,
    n20 = sum(n16,n4),
    inference(cnf_transformation,[],[f5]) ).

fof(f3311,plain,
    spl92_508,
    inference(avatar_split_clause,[],[f362,f3308]) ).

fof(f3308,plain,
    ( spl92_508
  <=> n13 = sum(n20,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_508])]) ).

fof(f362,plain,
    n13 = sum(n20,n14),
    inference(cnf_transformation,[],[f5]) ).

fof(f3306,plain,
    spl92_507,
    inference(avatar_split_clause,[],[f47,f3303]) ).

fof(f3303,plain,
    ( spl92_507
  <=> sK19 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK6))))))))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_507])]) ).

fof(f47,plain,
    sK19 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK6))))))))))))))))))))),
    inference(cnf_transformation,[],[f5]) ).

fof(f3301,plain,
    ~ spl92_506,
    inference(avatar_split_clause,[],[f235,f3298]) ).

fof(f3298,plain,
    ( spl92_506
  <=> n5 = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_506])]) ).

fof(f235,plain,
    n5 != n7,
    inference(cnf_transformation,[],[f5]) ).

fof(f3296,plain,
    ~ spl92_505,
    inference(avatar_split_clause,[],[f445,f3293]) ).

fof(f3293,plain,
    ( spl92_505
  <=> n4 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_505])]) ).

fof(f445,plain,
    n4 != n12,
    inference(cnf_transformation,[],[f5]) ).

fof(f3291,plain,
    spl92_504,
    inference(avatar_split_clause,[],[f680,f3288]) ).

fof(f3288,plain,
    ( spl92_504
  <=> n14 = sum(n2,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_504])]) ).

fof(f680,plain,
    n14 = sum(n2,n12),
    inference(cnf_transformation,[],[f5]) ).

fof(f3286,plain,
    spl92_503,
    inference(avatar_split_clause,[],[f620,f3283]) ).

fof(f3283,plain,
    ( spl92_503
  <=> n11 = sum(n8,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_503])]) ).

fof(f620,plain,
    n11 = sum(n8,n3),
    inference(cnf_transformation,[],[f5]) ).

fof(f3281,plain,
    spl92_502,
    inference(avatar_split_clause,[],[f683,f3278]) ).

fof(f3278,plain,
    ( spl92_502
  <=> succ(n3) = n4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_502])]) ).

fof(f683,plain,
    succ(n3) = n4,
    inference(cnf_transformation,[],[f5]) ).

fof(f3276,plain,
    ~ spl92_501,
    inference(avatar_split_clause,[],[f669,f3273]) ).

fof(f3273,plain,
    ( spl92_501
  <=> n14 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_501])]) ).

fof(f669,plain,
    n14 != n17,
    inference(cnf_transformation,[],[f5]) ).

fof(f3271,plain,
    spl92_500,
    inference(avatar_split_clause,[],[f182,f3268]) ).

fof(f3268,plain,
    ( spl92_500
  <=> n11 = sum(n3,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_500])]) ).

fof(f182,plain,
    n11 = sum(n3,n8),
    inference(cnf_transformation,[],[f5]) ).

fof(f3266,plain,
    spl92_499,
    inference(avatar_split_clause,[],[f420,f3263]) ).

fof(f3263,plain,
    ( spl92_499
  <=> n4 = sum(n5,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_499])]) ).

fof(f420,plain,
    n4 = sum(n5,n20),
    inference(cnf_transformation,[],[f5]) ).

fof(f3261,plain,
    spl92_498,
    inference(avatar_split_clause,[],[f366,f3258]) ).

fof(f3258,plain,
    ( spl92_498
  <=> sK26 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK64))))))))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_498])]) ).

fof(f366,plain,
    sK26 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK64))))))))))))))))))))),
    inference(cnf_transformation,[],[f5]) ).

fof(f3256,plain,
    spl92_497,
    inference(avatar_split_clause,[],[f786,f3253]) ).

fof(f3253,plain,
    ( spl92_497
  <=> n16 = pred(n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_497])]) ).

fof(f786,plain,
    n16 = pred(n17),
    inference(cnf_transformation,[],[f5]) ).

fof(f3251,plain,
    ~ spl92_496,
    inference(avatar_split_clause,[],[f282,f3248]) ).

fof(f3248,plain,
    ( spl92_496
  <=> n13 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_496])]) ).

fof(f282,plain,
    n13 != n15,
    inference(cnf_transformation,[],[f5]) ).

fof(f3246,plain,
    spl92_495,
    inference(avatar_split_clause,[],[f236,f3243]) ).

fof(f3243,plain,
    ( spl92_495
  <=> n18 = pred(n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_495])]) ).

fof(f236,plain,
    n18 = pred(n19),
    inference(cnf_transformation,[],[f5]) ).

fof(f3241,plain,
    spl92_494,
    inference(avatar_split_clause,[],[f505,f3238]) ).

fof(f3238,plain,
    ( spl92_494
  <=> n0 = sum(n18,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_494])]) ).

fof(f505,plain,
    n0 = sum(n18,n3),
    inference(cnf_transformation,[],[f5]) ).

fof(f3236,plain,
    spl92_493,
    inference(avatar_split_clause,[],[f87,f3233]) ).

fof(f3233,plain,
    ( spl92_493
  <=> sK75 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK24))))))))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_493])]) ).

fof(f87,plain,
    sK75 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK24))))))))))))))))))))),
    inference(cnf_transformation,[],[f5]) ).

fof(f3231,plain,
    spl92_492,
    inference(avatar_split_clause,[],[f725,f3228]) ).

fof(f3228,plain,
    ( spl92_492
  <=> n8 = sum(n12,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_492])]) ).

fof(f725,plain,
    n8 = sum(n12,n17),
    inference(cnf_transformation,[],[f5]) ).

fof(f3226,plain,
    ~ spl92_491,
    inference(avatar_split_clause,[],[f153,f3223]) ).

fof(f3223,plain,
    ( spl92_491
  <=> n9 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_491])]) ).

fof(f153,plain,
    n9 != n15,
    inference(cnf_transformation,[],[f5]) ).

fof(f3221,plain,
    spl92_490,
    inference(avatar_split_clause,[],[f729,f3218]) ).

fof(f3218,plain,
    ( spl92_490
  <=> n13 = sum(n7,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_490])]) ).

fof(f729,plain,
    n13 = sum(n7,n6),
    inference(cnf_transformation,[],[f5]) ).

fof(f3216,plain,
    spl92_489,
    inference(avatar_split_clause,[],[f650,f3213]) ).

fof(f3213,plain,
    ( spl92_489
  <=> n8 = sum(n3,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_489])]) ).

fof(f650,plain,
    n8 = sum(n3,n5),
    inference(cnf_transformation,[],[f5]) ).

fof(f3211,plain,
    spl92_488,
    inference(avatar_split_clause,[],[f233,f3208]) ).

fof(f3208,plain,
    ( spl92_488
  <=> n15 = sum(n13,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_488])]) ).

fof(f233,plain,
    n15 = sum(n13,n2),
    inference(cnf_transformation,[],[f5]) ).

fof(f3206,plain,
    spl92_487,
    inference(avatar_split_clause,[],[f162,f3203]) ).

fof(f3203,plain,
    ( spl92_487
  <=> n16 = sum(n12,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_487])]) ).

fof(f162,plain,
    n16 = sum(n12,n4),
    inference(cnf_transformation,[],[f5]) ).

fof(f3201,plain,
    spl92_486,
    inference(avatar_split_clause,[],[f400,f3198]) ).

fof(f3198,plain,
    ( spl92_486
  <=> n13 = sum(n10,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_486])]) ).

fof(f400,plain,
    n13 = sum(n10,n3),
    inference(cnf_transformation,[],[f5]) ).

fof(f3196,plain,
    spl92_485,
    inference(avatar_split_clause,[],[f687,f3193]) ).

fof(f3193,plain,
    ( spl92_485
  <=> n8 = sum(n14,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_485])]) ).

fof(f687,plain,
    n8 = sum(n14,n15),
    inference(cnf_transformation,[],[f5]) ).

fof(f3191,plain,
    spl92_484,
    inference(avatar_split_clause,[],[f778,f3188]) ).

fof(f3188,plain,
    ( spl92_484
  <=> sK79 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK58))))))))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_484])]) ).

fof(f778,plain,
    sK79 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK58))))))))))))))))))))),
    inference(cnf_transformation,[],[f5]) ).

fof(f3186,plain,
    spl92_483,
    inference(avatar_split_clause,[],[f192,f3183]) ).

fof(f3183,plain,
    ( spl92_483
  <=> n11 = sum(n6,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_483])]) ).

fof(f192,plain,
    n11 = sum(n6,n5),
    inference(cnf_transformation,[],[f5]) ).

fof(f3181,plain,
    spl92_482,
    inference(avatar_split_clause,[],[f148,f3178]) ).

fof(f3178,plain,
    ( spl92_482
  <=> n19 = sum(n16,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_482])]) ).

fof(f148,plain,
    n19 = sum(n16,n3),
    inference(cnf_transformation,[],[f5]) ).

fof(f3176,plain,
    spl92_481,
    inference(avatar_split_clause,[],[f462,f3173]) ).

fof(f3173,plain,
    ( spl92_481
  <=> n14 = sum(n1,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_481])]) ).

fof(f462,plain,
    n14 = sum(n1,n13),
    inference(cnf_transformation,[],[f5]) ).

fof(f3171,plain,
    spl92_480,
    inference(avatar_split_clause,[],[f308,f3168]) ).

fof(f3168,plain,
    ( spl92_480
  <=> n10 = sum(n1,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_480])]) ).

fof(f308,plain,
    n10 = sum(n1,n9),
    inference(cnf_transformation,[],[f5]) ).

fof(f3166,plain,
    spl92_479,
    inference(avatar_split_clause,[],[f716,f3163]) ).

fof(f3163,plain,
    ( spl92_479
  <=> sK11 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK38))))))))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_479])]) ).

fof(f716,plain,
    sK11 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK38))))))))))))))))))))),
    inference(cnf_transformation,[],[f5]) ).

fof(f3161,plain,
    spl92_478,
    inference(avatar_split_clause,[],[f554,f3158]) ).

fof(f3158,plain,
    ( spl92_478
  <=> n1 = sum(n10,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_478])]) ).

fof(f554,plain,
    n1 = sum(n10,n12),
    inference(cnf_transformation,[],[f5]) ).

fof(f3156,plain,
    spl92_477,
    inference(avatar_split_clause,[],[f644,f3153]) ).

fof(f3153,plain,
    ( spl92_477
  <=> n3 = sum(n11,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_477])]) ).

fof(f644,plain,
    n3 = sum(n11,n13),
    inference(cnf_transformation,[],[f5]) ).

fof(f3151,plain,
    spl92_476,
    inference(avatar_split_clause,[],[f743,f3148]) ).

fof(f3148,plain,
    ( spl92_476
  <=> n1 = sum(n18,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_476])]) ).

fof(f743,plain,
    n1 = sum(n18,n4),
    inference(cnf_transformation,[],[f5]) ).

fof(f3146,plain,
    spl92_475,
    inference(avatar_split_clause,[],[f121,f3143]) ).

fof(f3143,plain,
    ( spl92_475
  <=> n4 = sum(n14,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_475])]) ).

fof(f121,plain,
    n4 = sum(n14,n11),
    inference(cnf_transformation,[],[f5]) ).

fof(f3141,plain,
    spl92_474,
    inference(avatar_split_clause,[],[f62,f3138]) ).

fof(f3138,plain,
    ( spl92_474
  <=> sK59 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK62))))))))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_474])]) ).

fof(f62,plain,
    sK59 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK62))))))))))))))))))))),
    inference(cnf_transformation,[],[f5]) ).

fof(f3136,plain,
    ~ spl92_473,
    inference(avatar_split_clause,[],[f48,f3133]) ).

fof(f3133,plain,
    ( spl92_473
  <=> n3 = n5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_473])]) ).

fof(f48,plain,
    n3 != n5,
    inference(cnf_transformation,[],[f5]) ).

fof(f3131,plain,
    spl92_472,
    inference(avatar_split_clause,[],[f125,f3128]) ).

fof(f3128,plain,
    ( spl92_472
  <=> n4 = pred(n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_472])]) ).

fof(f125,plain,
    n4 = pred(n5),
    inference(cnf_transformation,[],[f5]) ).

fof(f3126,plain,
    spl92_471,
    inference(avatar_split_clause,[],[f588,f3123]) ).

fof(f3123,plain,
    ( spl92_471
  <=> n8 = sum(n7,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_471])]) ).

fof(f588,plain,
    n8 = sum(n7,n1),
    inference(cnf_transformation,[],[f5]) ).

fof(f3121,plain,
    spl92_470,
    inference(avatar_split_clause,[],[f403,f3118]) ).

fof(f3118,plain,
    ( spl92_470
  <=> n19 = sum(n15,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_470])]) ).

fof(f403,plain,
    n19 = sum(n15,n4),
    inference(cnf_transformation,[],[f5]) ).

fof(f3116,plain,
    spl92_469,
    inference(avatar_split_clause,[],[f443,f3113]) ).

fof(f3113,plain,
    ( spl92_469
  <=> n15 = sum(n2,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_469])]) ).

fof(f443,plain,
    n15 = sum(n2,n13),
    inference(cnf_transformation,[],[f5]) ).

fof(f3111,plain,
    spl92_468,
    inference(avatar_split_clause,[],[f160,f3108]) ).

fof(f3108,plain,
    ( spl92_468
  <=> n2 = sum(n18,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_468])]) ).

fof(f160,plain,
    n2 = sum(n18,n5),
    inference(cnf_transformation,[],[f5]) ).

fof(f3106,plain,
    spl92_467,
    inference(avatar_split_clause,[],[f326,f3103]) ).

fof(f3103,plain,
    ( spl92_467
  <=> n12 = sum(n0,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_467])]) ).

fof(f326,plain,
    n12 = sum(n0,n12),
    inference(cnf_transformation,[],[f5]) ).

fof(f3101,plain,
    spl92_466,
    inference(avatar_split_clause,[],[f699,f3098]) ).

fof(f3098,plain,
    ( spl92_466
  <=> n10 = sum(n8,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_466])]) ).

fof(f699,plain,
    n10 = sum(n8,n2),
    inference(cnf_transformation,[],[f5]) ).

fof(f3096,plain,
    spl92_465,
    inference(avatar_split_clause,[],[f20,f3093]) ).

fof(f3093,plain,
    ( spl92_465
  <=> n14 = sum(n18,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_465])]) ).

fof(f20,plain,
    n14 = sum(n18,n17),
    inference(cnf_transformation,[],[f5]) ).

fof(f3091,plain,
    spl92_464,
    inference(avatar_split_clause,[],[f9,f3088]) ).

fof(f3088,plain,
    ( spl92_464
  <=> n13 = sum(n12,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_464])]) ).

fof(f9,plain,
    n13 = sum(n12,n1),
    inference(cnf_transformation,[],[f5]) ).

fof(f3086,plain,
    spl92_463,
    inference(avatar_split_clause,[],[f525,f3083]) ).

fof(f3083,plain,
    ( spl92_463
  <=> n15 = sum(n12,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_463])]) ).

fof(f525,plain,
    n15 = sum(n12,n3),
    inference(cnf_transformation,[],[f5]) ).

fof(f3081,plain,
    spl92_462,
    inference(avatar_split_clause,[],[f507,f3078]) ).

fof(f3078,plain,
    ( spl92_462
  <=> n19 = sum(n4,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_462])]) ).

fof(f507,plain,
    n19 = sum(n4,n15),
    inference(cnf_transformation,[],[f5]) ).

fof(f3076,plain,
    spl92_461,
    inference(avatar_split_clause,[],[f635,f3073]) ).

fof(f3073,plain,
    ( spl92_461
  <=> n14 = sum(n12,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_461])]) ).

fof(f635,plain,
    n14 = sum(n12,n2),
    inference(cnf_transformation,[],[f5]) ).

fof(f3071,plain,
    spl92_460,
    inference(avatar_split_clause,[],[f309,f3068]) ).

fof(f3068,plain,
    ( spl92_460
  <=> n15 = sum(n6,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_460])]) ).

fof(f309,plain,
    n15 = sum(n6,n9),
    inference(cnf_transformation,[],[f5]) ).

fof(f3066,plain,
    spl92_459,
    inference(avatar_split_clause,[],[f232,f3063]) ).

fof(f3063,plain,
    ( spl92_459
  <=> n0 = succ(n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_459])]) ).

fof(f232,plain,
    n0 = succ(n20),
    inference(cnf_transformation,[],[f5]) ).

fof(f3061,plain,
    spl92_458,
    inference(avatar_split_clause,[],[f361,f3058]) ).

fof(f3058,plain,
    ( spl92_458
  <=> n12 = sum(n17,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_458])]) ).

fof(f361,plain,
    n12 = sum(n17,n16),
    inference(cnf_transformation,[],[f5]) ).

fof(f3056,plain,
    ~ spl92_457,
    inference(avatar_split_clause,[],[f336,f3053]) ).

fof(f3053,plain,
    ( spl92_457
  <=> n1 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_457])]) ).

fof(f336,plain,
    n1 != n8,
    inference(cnf_transformation,[],[f5]) ).

fof(f3051,plain,
    ~ spl92_456,
    inference(avatar_split_clause,[],[f32,f3048]) ).

fof(f3048,plain,
    ( spl92_456
  <=> n6 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_456])]) ).

fof(f32,plain,
    n6 != n11,
    inference(cnf_transformation,[],[f5]) ).

fof(f3046,plain,
    spl92_455,
    inference(avatar_split_clause,[],[f364,f3043]) ).

fof(f3043,plain,
    ( spl92_455
  <=> n1 = sum(n20,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_455])]) ).

fof(f364,plain,
    n1 = sum(n20,n2),
    inference(cnf_transformation,[],[f5]) ).

fof(f3041,plain,
    spl92_454,
    inference(avatar_split_clause,[],[f518,f3038]) ).

fof(f3038,plain,
    ( spl92_454
  <=> n16 = sum(n14,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_454])]) ).

fof(f518,plain,
    n16 = sum(n14,n2),
    inference(cnf_transformation,[],[f5]) ).

fof(f3036,plain,
    spl92_453,
    inference(avatar_split_clause,[],[f681,f3033]) ).

fof(f3033,plain,
    ( spl92_453
  <=> n19 = sum(n5,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_453])]) ).

fof(f681,plain,
    n19 = sum(n5,n14),
    inference(cnf_transformation,[],[f5]) ).

fof(f3031,plain,
    ~ spl92_452,
    inference(avatar_split_clause,[],[f736,f3028]) ).

fof(f3028,plain,
    ( spl92_452
  <=> n3 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_452])]) ).

fof(f736,plain,
    n3 != n20,
    inference(cnf_transformation,[],[f5]) ).

fof(f3026,plain,
    ~ spl92_451,
    inference(avatar_split_clause,[],[f52,f3023]) ).

fof(f3023,plain,
    ( spl92_451
  <=> n8 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_451])]) ).

fof(f52,plain,
    n8 != n15,
    inference(cnf_transformation,[],[f5]) ).

fof(f3021,plain,
    spl92_450,
    inference(avatar_split_clause,[],[f451,f3018]) ).

fof(f3018,plain,
    ( spl92_450
  <=> n3 = sum(n4,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_450])]) ).

fof(f451,plain,
    n3 = sum(n4,n20),
    inference(cnf_transformation,[],[f5]) ).

fof(f3016,plain,
    ~ spl92_449,
    inference(avatar_split_clause,[],[f659,f3013]) ).

fof(f3013,plain,
    ( spl92_449
  <=> n6 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_449])]) ).

fof(f659,plain,
    n6 != n17,
    inference(cnf_transformation,[],[f5]) ).

fof(f3011,plain,
    spl92_448,
    inference(avatar_split_clause,[],[f670,f3008]) ).

fof(f3008,plain,
    ( spl92_448
  <=> succ(n16) = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_448])]) ).

fof(f670,plain,
    succ(n16) = n17,
    inference(cnf_transformation,[],[f5]) ).

fof(f3006,plain,
    spl92_447,
    inference(avatar_split_clause,[],[f151,f3003]) ).

fof(f3003,plain,
    ( spl92_447
  <=> n12 = sum(n15,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_447])]) ).

fof(f151,plain,
    n12 = sum(n15,n18),
    inference(cnf_transformation,[],[f5]) ).

fof(f3001,plain,
    spl92_446,
    inference(avatar_split_clause,[],[f271,f2998]) ).

fof(f2998,plain,
    ( spl92_446
  <=> n4 = sum(n12,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_446])]) ).

fof(f271,plain,
    n4 = sum(n12,n13),
    inference(cnf_transformation,[],[f5]) ).

fof(f2996,plain,
    ~ spl92_445,
    inference(avatar_split_clause,[],[f367,f2993]) ).

fof(f2993,plain,
    ( spl92_445
  <=> n11 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_445])]) ).

fof(f367,plain,
    n11 != n14,
    inference(cnf_transformation,[],[f5]) ).

fof(f2991,plain,
    spl92_444,
    inference(avatar_split_clause,[],[f128,f2988]) ).

fof(f2988,plain,
    ( spl92_444
  <=> n16 = sum(n17,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_444])]) ).

fof(f128,plain,
    n16 = sum(n17,n20),
    inference(cnf_transformation,[],[f5]) ).

fof(f2986,plain,
    spl92_443,
    inference(avatar_split_clause,[],[f363,f2983]) ).

fof(f2983,plain,
    ( spl92_443
  <=> n5 = sum(n8,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_443])]) ).

fof(f363,plain,
    n5 = sum(n8,n18),
    inference(cnf_transformation,[],[f5]) ).

fof(f2981,plain,
    spl92_442,
    inference(avatar_split_clause,[],[f498,f2978]) ).

fof(f2978,plain,
    ( spl92_442
  <=> sK23 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK35))))))))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_442])]) ).

fof(f498,plain,
    sK23 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK35))))))))))))))))))))),
    inference(cnf_transformation,[],[f5]) ).

fof(f2976,plain,
    spl92_441,
    inference(avatar_split_clause,[],[f759,f2973]) ).

fof(f2973,plain,
    ( spl92_441
  <=> sK78 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK64))))))))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_441])]) ).

fof(f759,plain,
    sK78 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK64))))))))))))))))))))),
    inference(cnf_transformation,[],[f5]) ).

fof(f2971,plain,
    spl92_440,
    inference(avatar_split_clause,[],[f287,f2968]) ).

fof(f2968,plain,
    ( spl92_440
  <=> n7 = sum(n0,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_440])]) ).

fof(f287,plain,
    n7 = sum(n0,n7),
    inference(cnf_transformation,[],[f5]) ).

fof(f2966,plain,
    spl92_439,
    inference(avatar_split_clause,[],[f766,f2963]) ).

fof(f2963,plain,
    ( spl92_439
  <=> pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK36))))))))))))))))))))) = sK71 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_439])]) ).

fof(f766,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK36))))))))))))))))))))) = sK71,
    inference(cnf_transformation,[],[f5]) ).

fof(f2961,plain,
    spl92_438,
    inference(avatar_split_clause,[],[f303,f2958]) ).

fof(f2958,plain,
    ( spl92_438
  <=> n19 = sum(n12,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_438])]) ).

fof(f303,plain,
    n19 = sum(n12,n7),
    inference(cnf_transformation,[],[f5]) ).

fof(f2956,plain,
    spl92_437,
    inference(avatar_split_clause,[],[f191,f2953]) ).

fof(f2953,plain,
    ( spl92_437
  <=> n19 = sum(n7,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_437])]) ).

fof(f191,plain,
    n19 = sum(n7,n12),
    inference(cnf_transformation,[],[f5]) ).

fof(f2951,plain,
    spl92_436,
    inference(avatar_split_clause,[],[f140,f2948]) ).

fof(f2948,plain,
    ( spl92_436
  <=> n6 = sum(n5,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_436])]) ).

fof(f140,plain,
    n6 = sum(n5,n1),
    inference(cnf_transformation,[],[f5]) ).

fof(f2946,plain,
    spl92_435,
    inference(avatar_split_clause,[],[f289,f2943]) ).

fof(f2943,plain,
    ( spl92_435
  <=> n8 = sum(n8,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_435])]) ).

fof(f289,plain,
    n8 = sum(n8,n0),
    inference(cnf_transformation,[],[f5]) ).

fof(f2941,plain,
    ~ spl92_434,
    inference(avatar_split_clause,[],[f553,f2938]) ).

fof(f2938,plain,
    ( spl92_434
  <=> n7 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_434])]) ).

fof(f553,plain,
    n7 != n15,
    inference(cnf_transformation,[],[f5]) ).

fof(f2936,plain,
    spl92_433,
    inference(avatar_split_clause,[],[f779,f2933]) ).

fof(f2933,plain,
    ( spl92_433
  <=> n7 = sum(n1,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_433])]) ).

fof(f779,plain,
    n7 = sum(n1,n6),
    inference(cnf_transformation,[],[f5]) ).

fof(f2931,plain,
    spl92_432,
    inference(avatar_split_clause,[],[f541,f2928]) ).

fof(f2928,plain,
    ( spl92_432
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK56))))))))))))))))))))) = sK16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_432])]) ).

fof(f541,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK56))))))))))))))))))))) = sK16,
    inference(cnf_transformation,[],[f5]) ).

fof(f2926,plain,
    ~ spl92_431,
    inference(avatar_split_clause,[],[f777,f2923]) ).

fof(f2923,plain,
    ( spl92_431
  <=> n5 = n6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_431])]) ).

fof(f777,plain,
    n5 != n6,
    inference(cnf_transformation,[],[f5]) ).

fof(f2921,plain,
    spl92_430,
    inference(avatar_split_clause,[],[f405,f2918]) ).

fof(f2918,plain,
    ( spl92_430
  <=> n16 = sum(n15,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_430])]) ).

fof(f405,plain,
    n16 = sum(n15,n1),
    inference(cnf_transformation,[],[f5]) ).

fof(f2916,plain,
    spl92_429,
    inference(avatar_split_clause,[],[f775,f2913]) ).

fof(f2913,plain,
    ( spl92_429
  <=> sK7 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK24))))))))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_429])]) ).

fof(f775,plain,
    sK7 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK24))))))))))))))))))))),
    inference(cnf_transformation,[],[f5]) ).

fof(f2911,plain,
    spl92_428,
    inference(avatar_split_clause,[],[f343,f2908]) ).

fof(f2908,plain,
    ( spl92_428
  <=> n5 = sum(n15,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_428])]) ).

fof(f343,plain,
    n5 = sum(n15,n11),
    inference(cnf_transformation,[],[f5]) ).

fof(f2906,plain,
    spl92_427,
    inference(avatar_split_clause,[],[f439,f2903]) ).

fof(f2903,plain,
    ( spl92_427
  <=> n3 = sum(n6,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_427])]) ).

fof(f439,plain,
    n3 = sum(n6,n18),
    inference(cnf_transformation,[],[f5]) ).

fof(f2901,plain,
    spl92_426,
    inference(avatar_split_clause,[],[f730,f2898]) ).

fof(f2898,plain,
    ( spl92_426
  <=> n3 = sum(n2,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_426])]) ).

fof(f730,plain,
    n3 = sum(n2,n1),
    inference(cnf_transformation,[],[f5]) ).

fof(f2896,plain,
    spl92_425,
    inference(avatar_split_clause,[],[f791,f2893]) ).

fof(f2893,plain,
    ( spl92_425
  <=> n13 = sum(n8,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_425])]) ).

fof(f791,plain,
    n13 = sum(n8,n5),
    inference(cnf_transformation,[],[f5]) ).

fof(f2891,plain,
    ~ spl92_424,
    inference(avatar_split_clause,[],[f64,f2888]) ).

fof(f2888,plain,
    ( spl92_424
  <=> n4 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_424])]) ).

fof(f64,plain,
    n4 != n9,
    inference(cnf_transformation,[],[f5]) ).

fof(f2886,plain,
    ~ spl92_423,
    inference(avatar_split_clause,[],[f68,f2883]) ).

fof(f2883,plain,
    ( spl92_423
  <=> n10 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_423])]) ).

fof(f68,plain,
    n10 != n18,
    inference(cnf_transformation,[],[f5]) ).

fof(f2881,plain,
    spl92_422,
    inference(avatar_split_clause,[],[f30,f2878]) ).

fof(f2878,plain,
    ( spl92_422
  <=> n15 = sum(n17,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_422])]) ).

fof(f30,plain,
    n15 = sum(n17,n19),
    inference(cnf_transformation,[],[f5]) ).

fof(f2876,plain,
    spl92_421,
    inference(avatar_split_clause,[],[f488,f2873]) ).

fof(f2873,plain,
    ( spl92_421
  <=> n19 = sum(n6,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_421])]) ).

fof(f488,plain,
    n19 = sum(n6,n13),
    inference(cnf_transformation,[],[f5]) ).

fof(f2871,plain,
    ~ spl92_420,
    inference(avatar_split_clause,[],[f297,f2868]) ).

fof(f2868,plain,
    ( spl92_420
  <=> n0 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_420])]) ).

fof(f297,plain,
    n0 != n11,
    inference(cnf_transformation,[],[f5]) ).

fof(f2866,plain,
    ~ spl92_419,
    inference(avatar_split_clause,[],[f489,f2863]) ).

fof(f2863,plain,
    ( spl92_419
  <=> n6 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_419])]) ).

fof(f489,plain,
    n6 != n13,
    inference(cnf_transformation,[],[f5]) ).

fof(f2861,plain,
    spl92_418,
    inference(avatar_split_clause,[],[f569,f2858]) ).

fof(f2858,plain,
    ( spl92_418
  <=> pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK6))))))))))))))))))))) = sK66 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_418])]) ).

fof(f569,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK6))))))))))))))))))))) = sK66,
    inference(cnf_transformation,[],[f5]) ).

fof(f2856,plain,
    spl92_417,
    inference(avatar_split_clause,[],[f732,f2853]) ).

fof(f2853,plain,
    ( spl92_417
  <=> n15 = sum(n18,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_417])]) ).

fof(f732,plain,
    n15 = sum(n18,n18),
    inference(cnf_transformation,[],[f5]) ).

fof(f2851,plain,
    spl92_416,
    inference(avatar_split_clause,[],[f686,f2848]) ).

fof(f2848,plain,
    ( spl92_416
  <=> n7 = sum(n8,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_416])]) ).

fof(f686,plain,
    n7 = sum(n8,n20),
    inference(cnf_transformation,[],[f5]) ).

fof(f2846,plain,
    spl92_415,
    inference(avatar_split_clause,[],[f142,f2843]) ).

fof(f2843,plain,
    ( spl92_415
  <=> n8 = sum(n15,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_415])]) ).

fof(f142,plain,
    n8 = sum(n15,n14),
    inference(cnf_transformation,[],[f5]) ).

fof(f2841,plain,
    ~ spl92_414,
    inference(avatar_split_clause,[],[f712,f2838]) ).

fof(f2838,plain,
    ( spl92_414
  <=> n3 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_414])]) ).

fof(f712,plain,
    n3 != n10,
    inference(cnf_transformation,[],[f5]) ).

fof(f2836,plain,
    spl92_413,
    inference(avatar_split_clause,[],[f7,f2833]) ).

fof(f2833,plain,
    ( spl92_413
  <=> n15 = sum(n16,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_413])]) ).

fof(f7,plain,
    n15 = sum(n16,n20),
    inference(cnf_transformation,[],[f5]) ).

fof(f2831,plain,
    spl92_412,
    inference(avatar_split_clause,[],[f262,f2828]) ).

fof(f2828,plain,
    ( spl92_412
  <=> n20 = sum(n2,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_412])]) ).

fof(f262,plain,
    n20 = sum(n2,n18),
    inference(cnf_transformation,[],[f5]) ).

fof(f2826,plain,
    spl92_411,
    inference(avatar_split_clause,[],[f6,f2823]) ).

fof(f2823,plain,
    ( spl92_411
  <=> n2 = pred(n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_411])]) ).

fof(f6,plain,
    n2 = pred(n3),
    inference(cnf_transformation,[],[f5]) ).

fof(f2821,plain,
    spl92_410,
    inference(avatar_split_clause,[],[f112,f2818]) ).

fof(f2818,plain,
    ( spl92_410
  <=> n0 = sum(n14,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_410])]) ).

fof(f112,plain,
    n0 = sum(n14,n7),
    inference(cnf_transformation,[],[f5]) ).

fof(f2816,plain,
    spl92_409,
    inference(avatar_split_clause,[],[f511,f2813]) ).

fof(f2813,plain,
    ( spl92_409
  <=> n4 = sum(n11,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_409])]) ).

fof(f511,plain,
    n4 = sum(n11,n14),
    inference(cnf_transformation,[],[f5]) ).

fof(f2811,plain,
    spl92_408,
    inference(avatar_split_clause,[],[f570,f2808]) ).

fof(f2808,plain,
    ( spl92_408
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK67))))))))))))))))))))) = sK43 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_408])]) ).

fof(f570,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK67))))))))))))))))))))) = sK43,
    inference(cnf_transformation,[],[f5]) ).

fof(f2806,plain,
    spl92_407,
    inference(avatar_split_clause,[],[f758,f2803]) ).

fof(f2803,plain,
    ( spl92_407
  <=> n6 = sum(n7,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_407])]) ).

fof(f758,plain,
    n6 = sum(n7,n20),
    inference(cnf_transformation,[],[f5]) ).

fof(f2801,plain,
    ~ spl92_406,
    inference(avatar_split_clause,[],[f459,f2798]) ).

fof(f2798,plain,
    ( spl92_406
  <=> n10 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_406])]) ).

fof(f459,plain,
    n10 != n12,
    inference(cnf_transformation,[],[f5]) ).

fof(f2796,plain,
    ~ spl92_405,
    inference(avatar_split_clause,[],[f623,f2793]) ).

fof(f2793,plain,
    ( spl92_405
  <=> n1 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_405])]) ).

fof(f623,plain,
    n1 != n16,
    inference(cnf_transformation,[],[f5]) ).

fof(f2791,plain,
    spl92_404,
    inference(avatar_split_clause,[],[f548,f2788]) ).

fof(f2788,plain,
    ( spl92_404
  <=> n9 = sum(n12,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_404])]) ).

fof(f548,plain,
    n9 = sum(n12,n18),
    inference(cnf_transformation,[],[f5]) ).

fof(f2786,plain,
    ~ spl92_403,
    inference(avatar_split_clause,[],[f434,f2783]) ).

fof(f2783,plain,
    ( spl92_403
  <=> n3 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_403])]) ).

fof(f434,plain,
    n3 != n11,
    inference(cnf_transformation,[],[f5]) ).

fof(f2781,plain,
    spl92_402,
    inference(avatar_split_clause,[],[f261,f2778]) ).

fof(f2778,plain,
    ( spl92_402
  <=> n2 = sum(n19,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_402])]) ).

fof(f261,plain,
    n2 = sum(n19,n4),
    inference(cnf_transformation,[],[f5]) ).

fof(f2776,plain,
    spl92_401,
    inference(avatar_split_clause,[],[f523,f2773]) ).

fof(f2773,plain,
    ( spl92_401
  <=> sK44 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK56))))))))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_401])]) ).

fof(f523,plain,
    sK44 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK56))))))))))))))))))))),
    inference(cnf_transformation,[],[f5]) ).

fof(f2771,plain,
    spl92_400,
    inference(avatar_split_clause,[],[f147,f2768]) ).

fof(f2768,plain,
    ( spl92_400
  <=> n13 = sum(n5,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_400])]) ).

fof(f147,plain,
    n13 = sum(n5,n8),
    inference(cnf_transformation,[],[f5]) ).

fof(f2766,plain,
    ~ spl92_399,
    inference(avatar_split_clause,[],[f215,f2763]) ).

fof(f2763,plain,
    ( spl92_399
  <=> n5 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_399])]) ).

fof(f215,plain,
    n5 != n10,
    inference(cnf_transformation,[],[f5]) ).

fof(f2761,plain,
    spl92_398,
    inference(avatar_split_clause,[],[f335,f2758]) ).

fof(f2758,plain,
    ( spl92_398
  <=> pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK3))))))))))))))))))))) = sK33 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_398])]) ).

fof(f335,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK3))))))))))))))))))))) = sK33,
    inference(cnf_transformation,[],[f5]) ).

fof(f2756,plain,
    spl92_397,
    inference(avatar_split_clause,[],[f358,f2753]) ).

fof(f2753,plain,
    ( spl92_397
  <=> n11 = sum(n18,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_397])]) ).

fof(f358,plain,
    n11 = sum(n18,n14),
    inference(cnf_transformation,[],[f5]) ).

fof(f2751,plain,
    spl92_396,
    inference(avatar_split_clause,[],[f492,f2748]) ).

fof(f2748,plain,
    ( spl92_396
  <=> n12 = sum(n11,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_396])]) ).

fof(f492,plain,
    n12 = sum(n11,n1),
    inference(cnf_transformation,[],[f5]) ).

fof(f2746,plain,
    spl92_395,
    inference(avatar_split_clause,[],[f545,f2743]) ).

fof(f2743,plain,
    ( spl92_395
  <=> n15 = sum(n19,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_395])]) ).

fof(f545,plain,
    n15 = sum(n19,n17),
    inference(cnf_transformation,[],[f5]) ).

fof(f2741,plain,
    spl92_394,
    inference(avatar_split_clause,[],[f457,f2738]) ).

fof(f2738,plain,
    ( spl92_394
  <=> n17 = sum(n0,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_394])]) ).

fof(f457,plain,
    n17 = sum(n0,n17),
    inference(cnf_transformation,[],[f5]) ).

fof(f2736,plain,
    spl92_393,
    inference(avatar_split_clause,[],[f619,f2733]) ).

fof(f2733,plain,
    ( spl92_393
  <=> sK48 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK51))))))))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_393])]) ).

fof(f619,plain,
    sK48 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK51))))))))))))))))))))),
    inference(cnf_transformation,[],[f5]) ).

fof(f2731,plain,
    ~ spl92_392,
    inference(avatar_split_clause,[],[f517,f2728]) ).

fof(f2728,plain,
    ( spl92_392
  <=> n10 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_392])]) ).

fof(f517,plain,
    n10 != n17,
    inference(cnf_transformation,[],[f5]) ).

fof(f2726,plain,
    spl92_391,
    inference(avatar_split_clause,[],[f656,f2723]) ).

fof(f2723,plain,
    ( spl92_391
  <=> n6 = sum(n12,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_391])]) ).

fof(f656,plain,
    n6 = sum(n12,n15),
    inference(cnf_transformation,[],[f5]) ).

fof(f2721,plain,
    ~ spl92_390,
    inference(avatar_split_clause,[],[f398,f2718]) ).

fof(f2718,plain,
    ( spl92_390
  <=> n4 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_390])]) ).

fof(f398,plain,
    n4 != n17,
    inference(cnf_transformation,[],[f5]) ).

fof(f2716,plain,
    spl92_389,
    inference(avatar_split_clause,[],[f668,f2713]) ).

fof(f2713,plain,
    ( spl92_389
  <=> n18 = sum(n8,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_389])]) ).

fof(f668,plain,
    n18 = sum(n8,n10),
    inference(cnf_transformation,[],[f5]) ).

fof(f2711,plain,
    spl92_388,
    inference(avatar_split_clause,[],[f78,f2708]) ).

fof(f2708,plain,
    ( spl92_388
  <=> n2 = sum(n15,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_388])]) ).

fof(f78,plain,
    n2 = sum(n15,n8),
    inference(cnf_transformation,[],[f5]) ).

fof(f2706,plain,
    spl92_387,
    inference(avatar_split_clause,[],[f294,f2703]) ).

fof(f2703,plain,
    ( spl92_387
  <=> n10 = sum(n6,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_387])]) ).

fof(f294,plain,
    n10 = sum(n6,n4),
    inference(cnf_transformation,[],[f5]) ).

fof(f2701,plain,
    spl92_386,
    inference(avatar_split_clause,[],[f589,f2698]) ).

fof(f2698,plain,
    ( spl92_386
  <=> n5 = sum(n19,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_386])]) ).

fof(f589,plain,
    n5 = sum(n19,n7),
    inference(cnf_transformation,[],[f5]) ).

fof(f2696,plain,
    spl92_385,
    inference(avatar_split_clause,[],[f624,f2693]) ).

fof(f2693,plain,
    ( spl92_385
  <=> n15 = sum(n20,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_385])]) ).

fof(f624,plain,
    n15 = sum(n20,n16),
    inference(cnf_transformation,[],[f5]) ).

fof(f2691,plain,
    ~ spl92_384,
    inference(avatar_split_clause,[],[f537,f2688]) ).

fof(f2688,plain,
    ( spl92_384
  <=> n2 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_384])]) ).

fof(f537,plain,
    n2 != n11,
    inference(cnf_transformation,[],[f5]) ).

fof(f2686,plain,
    spl92_383,
    inference(avatar_split_clause,[],[f268,f2683]) ).

fof(f2683,plain,
    ( spl92_383
  <=> n2 = sum(n6,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_383])]) ).

fof(f268,plain,
    n2 = sum(n6,n17),
    inference(cnf_transformation,[],[f5]) ).

fof(f2681,plain,
    spl92_382,
    inference(avatar_split_clause,[],[f71,f2678]) ).

fof(f2678,plain,
    ( spl92_382
  <=> succ(n14) = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_382])]) ).

fof(f71,plain,
    succ(n14) = n15,
    inference(cnf_transformation,[],[f5]) ).

fof(f2676,plain,
    spl92_381,
    inference(avatar_split_clause,[],[f607,f2673]) ).

fof(f2673,plain,
    ( spl92_381
  <=> n17 = sum(n3,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_381])]) ).

fof(f607,plain,
    n17 = sum(n3,n14),
    inference(cnf_transformation,[],[f5]) ).

fof(f2671,plain,
    spl92_380,
    inference(avatar_split_clause,[],[f251,f2668]) ).

fof(f2668,plain,
    ( spl92_380
  <=> n16 = sum(n11,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_380])]) ).

fof(f251,plain,
    n16 = sum(n11,n5),
    inference(cnf_transformation,[],[f5]) ).

fof(f2666,plain,
    spl92_379,
    inference(avatar_split_clause,[],[f299,f2663]) ).

fof(f2663,plain,
    ( spl92_379
  <=> n9 = pred(n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_379])]) ).

fof(f299,plain,
    n9 = pred(n10),
    inference(cnf_transformation,[],[f5]) ).

fof(f2661,plain,
    ~ spl92_378,
    inference(avatar_split_clause,[],[f773,f2658]) ).

fof(f2658,plain,
    ( spl92_378
  <=> n1 = n2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_378])]) ).

fof(f773,plain,
    n1 != n2,
    inference(cnf_transformation,[],[f5]) ).

fof(f2656,plain,
    spl92_377,
    inference(avatar_split_clause,[],[f18,f2653]) ).

fof(f2653,plain,
    ( spl92_377
  <=> succ(n4) = n5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_377])]) ).

fof(f18,plain,
    succ(n4) = n5,
    inference(cnf_transformation,[],[f5]) ).

fof(f2651,plain,
    spl92_376,
    inference(avatar_split_clause,[],[f771,f2648]) ).

fof(f2648,plain,
    ( spl92_376
  <=> n1 = sum(n5,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_376])]) ).

fof(f771,plain,
    n1 = sum(n5,n17),
    inference(cnf_transformation,[],[f5]) ).

fof(f2646,plain,
    spl92_375,
    inference(avatar_split_clause,[],[f149,f2643]) ).

fof(f2643,plain,
    ( spl92_375
  <=> n14 = sum(n19,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_375])]) ).

fof(f149,plain,
    n14 = sum(n19,n16),
    inference(cnf_transformation,[],[f5]) ).

fof(f2641,plain,
    ~ spl92_374,
    inference(avatar_split_clause,[],[f645,f2638]) ).

fof(f2638,plain,
    ( spl92_374
  <=> n4 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_374])]) ).

fof(f645,plain,
    n4 != n8,
    inference(cnf_transformation,[],[f5]) ).

fof(f2636,plain,
    spl92_373,
    inference(avatar_split_clause,[],[f563,f2633]) ).

fof(f2633,plain,
    ( spl92_373
  <=> n13 = sum(n16,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_373])]) ).

fof(f563,plain,
    n13 = sum(n16,n18),
    inference(cnf_transformation,[],[f5]) ).

fof(f2631,plain,
    spl92_372,
    inference(avatar_split_clause,[],[f255,f2628]) ).

fof(f2628,plain,
    ( spl92_372
  <=> n8 = sum(n13,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_372])]) ).

fof(f255,plain,
    n8 = sum(n13,n16),
    inference(cnf_transformation,[],[f5]) ).

fof(f2626,plain,
    ~ spl92_371,
    inference(avatar_split_clause,[],[f286,f2623]) ).

fof(f2623,plain,
    ( spl92_371
  <=> n7 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_371])]) ).

fof(f286,plain,
    n7 != n19,
    inference(cnf_transformation,[],[f5]) ).

fof(f2621,plain,
    ~ spl92_370,
    inference(avatar_split_clause,[],[f296,f2618]) ).

fof(f2618,plain,
    ( spl92_370
  <=> n1 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_370])]) ).

fof(f296,plain,
    n1 != n19,
    inference(cnf_transformation,[],[f5]) ).

fof(f2616,plain,
    spl92_369,
    inference(avatar_split_clause,[],[f369,f2613]) ).

fof(f2613,plain,
    ( spl92_369
  <=> n14 = sum(n3,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_369])]) ).

fof(f369,plain,
    n14 = sum(n3,n11),
    inference(cnf_transformation,[],[f5]) ).

fof(f2611,plain,
    ~ spl92_368,
    inference(avatar_split_clause,[],[f339,f2608]) ).

fof(f2608,plain,
    ( spl92_368
  <=> n3 = n4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_368])]) ).

fof(f339,plain,
    n3 != n4,
    inference(cnf_transformation,[],[f5]) ).

fof(f2606,plain,
    spl92_367,
    inference(avatar_split_clause,[],[f264,f2603]) ).

fof(f2603,plain,
    ( spl92_367
  <=> sK3 = sum(pred(sK78),sum(succ(sK26),sum(pred(sK37),succ(sK10)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_367])]) ).

fof(f264,plain,
    sK3 = sum(pred(sK78),sum(succ(sK26),sum(pred(sK37),succ(sK10)))),
    inference(cnf_transformation,[],[f5]) ).

fof(f2601,plain,
    spl92_366,
    inference(avatar_split_clause,[],[f305,f2598]) ).

fof(f2598,plain,
    ( spl92_366
  <=> n6 = sum(n19,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_366])]) ).

fof(f305,plain,
    n6 = sum(n19,n8),
    inference(cnf_transformation,[],[f5]) ).

fof(f2596,plain,
    spl92_365,
    inference(avatar_split_clause,[],[f442,f2593]) ).

fof(f2593,plain,
    ( spl92_365
  <=> n17 = sum(n13,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_365])]) ).

fof(f442,plain,
    n17 = sum(n13,n4),
    inference(cnf_transformation,[],[f5]) ).

fof(f2591,plain,
    ~ spl92_364,
    inference(avatar_split_clause,[],[f432,f2588]) ).

fof(f2588,plain,
    ( spl92_364
  <=> n0 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_364])]) ).

fof(f432,plain,
    n0 != n14,
    inference(cnf_transformation,[],[f5]) ).

fof(f2586,plain,
    spl92_363,
    inference(avatar_split_clause,[],[f660,f2583]) ).

fof(f2583,plain,
    ( spl92_363
  <=> n1 = sum(n14,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_363])]) ).

fof(f660,plain,
    n1 = sum(n14,n8),
    inference(cnf_transformation,[],[f5]) ).

fof(f2581,plain,
    spl92_362,
    inference(avatar_split_clause,[],[f763,f2578]) ).

fof(f2578,plain,
    ( spl92_362
  <=> n19 = sum(n13,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_362])]) ).

fof(f763,plain,
    n19 = sum(n13,n6),
    inference(cnf_transformation,[],[f5]) ).

fof(f2576,plain,
    ~ spl92_361,
    inference(avatar_split_clause,[],[f708,f2573]) ).

fof(f2573,plain,
    ( spl92_361
  <=> n0 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_361])]) ).

fof(f708,plain,
    n0 != n17,
    inference(cnf_transformation,[],[f5]) ).

fof(f2571,plain,
    ~ spl92_360,
    inference(avatar_split_clause,[],[f57,f2568]) ).

fof(f2568,plain,
    ( spl92_360
  <=> n5 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_360])]) ).

fof(f57,plain,
    n5 != n12,
    inference(cnf_transformation,[],[f5]) ).

fof(f2566,plain,
    spl92_359,
    inference(avatar_split_clause,[],[f397,f2563]) ).

fof(f2563,plain,
    ( spl92_359
  <=> n1 = sum(n12,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_359])]) ).

fof(f397,plain,
    n1 = sum(n12,n10),
    inference(cnf_transformation,[],[f5]) ).

fof(f2561,plain,
    spl92_358,
    inference(avatar_split_clause,[],[f706,f2558]) ).

fof(f2558,plain,
    ( spl92_358
  <=> n4 = sum(n6,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_358])]) ).

fof(f706,plain,
    n4 = sum(n6,n19),
    inference(cnf_transformation,[],[f5]) ).

fof(f2556,plain,
    spl92_357,
    inference(avatar_split_clause,[],[f300,f2553]) ).

fof(f2553,plain,
    ( spl92_357
  <=> n10 = sum(n12,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_357])]) ).

fof(f300,plain,
    n10 = sum(n12,n19),
    inference(cnf_transformation,[],[f5]) ).

fof(f2551,plain,
    spl92_356,
    inference(avatar_split_clause,[],[f594,f2548]) ).

fof(f2548,plain,
    ( spl92_356
  <=> n3 = sum(n3,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_356])]) ).

fof(f594,plain,
    n3 = sum(n3,n0),
    inference(cnf_transformation,[],[f5]) ).

fof(f2546,plain,
    ~ spl92_355,
    inference(avatar_split_clause,[],[f752,f2543]) ).

fof(f2543,plain,
    ( spl92_355
  <=> n2 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_355])]) ).

fof(f752,plain,
    n2 != n18,
    inference(cnf_transformation,[],[f5]) ).

fof(f2541,plain,
    spl92_354,
    inference(avatar_split_clause,[],[f216,f2538]) ).

fof(f2538,plain,
    ( spl92_354
  <=> pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK67))))))))))))))))))))) = sK88 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_354])]) ).

fof(f216,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK67))))))))))))))))))))) = sK88,
    inference(cnf_transformation,[],[f5]) ).

fof(f2536,plain,
    ~ spl92_353,
    inference(avatar_split_clause,[],[f10,f2533]) ).

fof(f2533,plain,
    ( spl92_353
  <=> n1 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_353])]) ).

fof(f10,plain,
    n1 != n13,
    inference(cnf_transformation,[],[f5]) ).

fof(f2531,plain,
    spl92_352,
    inference(avatar_split_clause,[],[f617,f2528]) ).

fof(f2528,plain,
    ( spl92_352
  <=> n12 = sum(n6,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_352])]) ).

fof(f617,plain,
    n12 = sum(n6,n6),
    inference(cnf_transformation,[],[f5]) ).

fof(f2526,plain,
    spl92_351,
    inference(avatar_split_clause,[],[f557,f2523]) ).

fof(f2523,plain,
    ( spl92_351
  <=> n0 = sum(n1,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_351])]) ).

fof(f557,plain,
    n0 = sum(n1,n20),
    inference(cnf_transformation,[],[f5]) ).

fof(f2521,plain,
    spl92_350,
    inference(avatar_split_clause,[],[f435,f2518]) ).

fof(f2518,plain,
    ( spl92_350
  <=> n9 = sum(n7,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_350])]) ).

fof(f435,plain,
    n9 = sum(n7,n2),
    inference(cnf_transformation,[],[f5]) ).

fof(f2516,plain,
    spl92_349,
    inference(avatar_split_clause,[],[f616,f2513]) ).

fof(f2513,plain,
    ( spl92_349
  <=> n12 = sum(n20,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_349])]) ).

fof(f616,plain,
    n12 = sum(n20,n13),
    inference(cnf_transformation,[],[f5]) ).

fof(f2511,plain,
    spl92_348,
    inference(avatar_split_clause,[],[f157,f2508]) ).

fof(f2508,plain,
    ( spl92_348
  <=> n7 = sum(n2,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_348])]) ).

fof(f157,plain,
    n7 = sum(n2,n5),
    inference(cnf_transformation,[],[f5]) ).

fof(f2506,plain,
    spl92_347,
    inference(avatar_split_clause,[],[f703,f2503]) ).

fof(f2503,plain,
    ( spl92_347
  <=> n6 = pred(n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_347])]) ).

fof(f703,plain,
    n6 = pred(n7),
    inference(cnf_transformation,[],[f5]) ).

fof(f2501,plain,
    spl92_346,
    inference(avatar_split_clause,[],[f158,f2498]) ).

fof(f2498,plain,
    ( spl92_346
  <=> n19 = sum(n9,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_346])]) ).

fof(f158,plain,
    n19 = sum(n9,n10),
    inference(cnf_transformation,[],[f5]) ).

fof(f2496,plain,
    ~ spl92_345,
    inference(avatar_split_clause,[],[f291,f2493]) ).

fof(f2493,plain,
    ( spl92_345
  <=> n2 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_345])]) ).

fof(f291,plain,
    n2 != n10,
    inference(cnf_transformation,[],[f5]) ).

fof(f2491,plain,
    spl92_344,
    inference(avatar_split_clause,[],[f61,f2488]) ).

fof(f2488,plain,
    ( spl92_344
  <=> sK55 = sum(pred(sK43),sum(succ(sK88),sum(pred(sK89),succ(sK77)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_344])]) ).

fof(f61,plain,
    sK55 = sum(pred(sK43),sum(succ(sK88),sum(pred(sK89),succ(sK77)))),
    inference(cnf_transformation,[],[f5]) ).

fof(f2486,plain,
    spl92_343,
    inference(avatar_split_clause,[],[f695,f2483]) ).

fof(f2483,plain,
    ( spl92_343
  <=> n10 = sum(n18,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_343])]) ).

fof(f695,plain,
    n10 = sum(n18,n13),
    inference(cnf_transformation,[],[f5]) ).

fof(f2481,plain,
    ~ spl92_342,
    inference(avatar_split_clause,[],[f227,f2478]) ).

fof(f2478,plain,
    ( spl92_342
  <=> n2 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_342])]) ).

fof(f227,plain,
    n2 != n19,
    inference(cnf_transformation,[],[f5]) ).

fof(f2476,plain,
    spl92_341,
    inference(avatar_split_clause,[],[f377,f2473]) ).

fof(f2473,plain,
    ( spl92_341
  <=> n1 = sum(n11,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_341])]) ).

fof(f377,plain,
    n1 = sum(n11,n11),
    inference(cnf_transformation,[],[f5]) ).

fof(f2471,plain,
    spl92_340,
    inference(avatar_split_clause,[],[f770,f2468]) ).

fof(f2468,plain,
    ( spl92_340
  <=> n6 = sum(n18,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_340])]) ).

fof(f770,plain,
    n6 = sum(n18,n9),
    inference(cnf_transformation,[],[f5]) ).

fof(f2466,plain,
    spl92_339,
    inference(avatar_split_clause,[],[f252,f2463]) ).

fof(f2463,plain,
    ( spl92_339
  <=> n1 = pred(n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_339])]) ).

fof(f252,plain,
    n1 = pred(n2),
    inference(cnf_transformation,[],[f5]) ).

fof(f2461,plain,
    ~ spl92_338,
    inference(avatar_split_clause,[],[f248,f2458]) ).

fof(f2458,plain,
    ( spl92_338
  <=> n2 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_338])]) ).

fof(f248,plain,
    n2 != n9,
    inference(cnf_transformation,[],[f5]) ).

fof(f2456,plain,
    spl92_337,
    inference(avatar_split_clause,[],[f530,f2453]) ).

fof(f2453,plain,
    ( spl92_337
  <=> n20 = sum(n13,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_337])]) ).

fof(f530,plain,
    n20 = sum(n13,n7),
    inference(cnf_transformation,[],[f5]) ).

fof(f2451,plain,
    spl92_336,
    inference(avatar_split_clause,[],[f515,f2448]) ).

fof(f2448,plain,
    ( spl92_336
  <=> n6 = sum(n17,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_336])]) ).

fof(f515,plain,
    n6 = sum(n17,n10),
    inference(cnf_transformation,[],[f5]) ).

fof(f2446,plain,
    spl92_335,
    inference(avatar_split_clause,[],[f657,f2443]) ).

fof(f2443,plain,
    ( spl92_335
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK50))))))))))))))))))))) = sK68 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_335])]) ).

fof(f657,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK50))))))))))))))))))))) = sK68,
    inference(cnf_transformation,[],[f5]) ).

fof(f2441,plain,
    spl92_334,
    inference(avatar_split_clause,[],[f691,f2438]) ).

fof(f2438,plain,
    ( spl92_334
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK54))))))))))))))))))))) = sK53 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_334])]) ).

fof(f691,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK54))))))))))))))))))))) = sK53,
    inference(cnf_transformation,[],[f5]) ).

fof(f2436,plain,
    spl92_333,
    inference(avatar_split_clause,[],[f199,f2433]) ).

fof(f2433,plain,
    ( spl92_333
  <=> n19 = sum(n14,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_333])]) ).

fof(f199,plain,
    n19 = sum(n14,n5),
    inference(cnf_transformation,[],[f5]) ).

fof(f2431,plain,
    ~ spl92_332,
    inference(avatar_split_clause,[],[f562,f2428]) ).

fof(f2428,plain,
    ( spl92_332
  <=> n5 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_332])]) ).

fof(f562,plain,
    n5 != n18,
    inference(cnf_transformation,[],[f5]) ).

fof(f2426,plain,
    ~ spl92_331,
    inference(avatar_split_clause,[],[f610,f2423]) ).

fof(f2423,plain,
    ( spl92_331
  <=> n17 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_331])]) ).

fof(f610,plain,
    n17 != n18,
    inference(cnf_transformation,[],[f5]) ).

fof(f2421,plain,
    spl92_330,
    inference(avatar_split_clause,[],[f222,f2418]) ).

fof(f2418,plain,
    ( spl92_330
  <=> sK60 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK47))))))))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_330])]) ).

fof(f222,plain,
    sK60 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK47))))))))))))))))))))),
    inference(cnf_transformation,[],[f5]) ).

fof(f2416,plain,
    spl92_329,
    inference(avatar_split_clause,[],[f34,f2413]) ).

fof(f2413,plain,
    ( spl92_329
  <=> n5 = sum(n17,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_329])]) ).

fof(f34,plain,
    n5 = sum(n17,n9),
    inference(cnf_transformation,[],[f5]) ).

fof(f2411,plain,
    spl92_328,
    inference(avatar_split_clause,[],[f705,f2408]) ).

fof(f2408,plain,
    ( spl92_328
  <=> n7 = sum(n14,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_328])]) ).

fof(f705,plain,
    n7 = sum(n14,n14),
    inference(cnf_transformation,[],[f5]) ).

fof(f2406,plain,
    ~ spl92_327,
    inference(avatar_split_clause,[],[f584,f2403]) ).

fof(f2403,plain,
    ( spl92_327
  <=> n0 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_327])]) ).

fof(f584,plain,
    n0 != n18,
    inference(cnf_transformation,[],[f5]) ).

fof(f2401,plain,
    ~ spl92_326,
    inference(avatar_split_clause,[],[f133,f2398]) ).

fof(f2398,plain,
    ( spl92_326
  <=> n2 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_326])]) ).

fof(f133,plain,
    n2 != n14,
    inference(cnf_transformation,[],[f5]) ).

fof(f2396,plain,
    spl92_325,
    inference(avatar_split_clause,[],[f150,f2393]) ).

fof(f2393,plain,
    ( spl92_325
  <=> n18 = sum(n18,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_325])]) ).

fof(f150,plain,
    n18 = sum(n18,n0),
    inference(cnf_transformation,[],[f5]) ).

fof(f2391,plain,
    ~ spl92_324,
    inference(avatar_split_clause,[],[f471,f2388]) ).

fof(f2388,plain,
    ( spl92_324
  <=> n3 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_324])]) ).

fof(f471,plain,
    n3 != n19,
    inference(cnf_transformation,[],[f5]) ).

fof(f2386,plain,
    spl92_323,
    inference(avatar_split_clause,[],[f212,f2383]) ).

fof(f2383,plain,
    ( spl92_323
  <=> n6 = sum(n6,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_323])]) ).

fof(f212,plain,
    n6 = sum(n6,n0),
    inference(cnf_transformation,[],[f5]) ).

fof(f2381,plain,
    spl92_322,
    inference(avatar_split_clause,[],[f75,f2378]) ).

fof(f2378,plain,
    ( spl92_322
  <=> sK17 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK45))))))))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_322])]) ).

fof(f75,plain,
    sK17 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK45))))))))))))))))))))),
    inference(cnf_transformation,[],[f5]) ).

fof(f2376,plain,
    spl92_321,
    inference(avatar_split_clause,[],[f790,f2373]) ).

fof(f2373,plain,
    ( spl92_321
  <=> succ(n15) = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_321])]) ).

fof(f790,plain,
    succ(n15) = n16,
    inference(cnf_transformation,[],[f5]) ).

fof(f2371,plain,
    spl92_320,
    inference(avatar_split_clause,[],[f165,f2368]) ).

fof(f2368,plain,
    ( spl92_320
  <=> n12 = sum(n2,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_320])]) ).

fof(f165,plain,
    n12 = sum(n2,n10),
    inference(cnf_transformation,[],[f5]) ).

fof(f2366,plain,
    spl92_319,
    inference(avatar_split_clause,[],[f368,f2363]) ).

fof(f2363,plain,
    ( spl92_319
  <=> sK58 = sum(pred(sK16),sum(succ(sK44),sum(pred(sK82),succ(sK74)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_319])]) ).

fof(f368,plain,
    sK58 = sum(pred(sK16),sum(succ(sK44),sum(pred(sK82),succ(sK74)))),
    inference(cnf_transformation,[],[f5]) ).

fof(f2361,plain,
    spl92_318,
    inference(avatar_split_clause,[],[f26,f2358]) ).

fof(f2358,plain,
    ( spl92_318
  <=> n18 = sum(n4,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_318])]) ).

fof(f26,plain,
    n18 = sum(n4,n14),
    inference(cnf_transformation,[],[f5]) ).

fof(f2356,plain,
    spl92_317,
    inference(avatar_split_clause,[],[f698,f2353]) ).

fof(f2353,plain,
    ( spl92_317
  <=> sK14 = sum(pred(sK4),sum(succ(sK90),sum(pred(sK2),succ(sK5)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_317])]) ).

fof(f698,plain,
    sK14 = sum(pred(sK4),sum(succ(sK90),sum(pred(sK2),succ(sK5)))),
    inference(cnf_transformation,[],[f5]) ).

fof(f2351,plain,
    spl92_316,
    inference(avatar_split_clause,[],[f427,f2348]) ).

fof(f2348,plain,
    ( spl92_316
  <=> n16 = sum(n7,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_316])]) ).

fof(f427,plain,
    n16 = sum(n7,n9),
    inference(cnf_transformation,[],[f5]) ).

fof(f2346,plain,
    spl92_315,
    inference(avatar_split_clause,[],[f431,f2343]) ).

fof(f2343,plain,
    ( spl92_315
  <=> n20 = sum(n17,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_315])]) ).

fof(f431,plain,
    n20 = sum(n17,n3),
    inference(cnf_transformation,[],[f5]) ).

fof(f2341,plain,
    spl92_314,
    inference(avatar_split_clause,[],[f284,f2338]) ).

fof(f2338,plain,
    ( spl92_314
  <=> n2 = sum(n16,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_314])]) ).

fof(f284,plain,
    n2 = sum(n16,n7),
    inference(cnf_transformation,[],[f5]) ).

fof(f2336,plain,
    ~ spl92_313,
    inference(avatar_split_clause,[],[f749,f2333]) ).

fof(f2333,plain,
    ( spl92_313
  <=> n5 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_313])]) ).

fof(f749,plain,
    n5 != n13,
    inference(cnf_transformation,[],[f5]) ).

fof(f2331,plain,
    spl92_312,
    inference(avatar_split_clause,[],[f483,f2328]) ).

fof(f2328,plain,
    ( spl92_312
  <=> n10 = sum(n20,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_312])]) ).

fof(f483,plain,
    n10 = sum(n20,n11),
    inference(cnf_transformation,[],[f5]) ).

fof(f2326,plain,
    ~ spl92_311,
    inference(avatar_split_clause,[],[f722,f2323]) ).

fof(f2323,plain,
    ( spl92_311
  <=> n8 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_311])]) ).

fof(f722,plain,
    n8 != n17,
    inference(cnf_transformation,[],[f5]) ).

fof(f2321,plain,
    spl92_310,
    inference(avatar_split_clause,[],[f629,f2318]) ).

fof(f2318,plain,
    ( spl92_310
  <=> n13 = sum(n2,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_310])]) ).

fof(f629,plain,
    n13 = sum(n2,n11),
    inference(cnf_transformation,[],[f5]) ).

fof(f2316,plain,
    spl92_309,
    inference(avatar_split_clause,[],[f384,f2313]) ).

fof(f2313,plain,
    ( spl92_309
  <=> n9 = sum(n0,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_309])]) ).

fof(f384,plain,
    n9 = sum(n0,n9),
    inference(cnf_transformation,[],[f5]) ).

fof(f2311,plain,
    spl92_308,
    inference(avatar_split_clause,[],[f218,f2308]) ).

fof(f2308,plain,
    ( spl92_308
  <=> n20 = sum(n3,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_308])]) ).

fof(f218,plain,
    n20 = sum(n3,n17),
    inference(cnf_transformation,[],[f5]) ).

fof(f2306,plain,
    spl92_307,
    inference(avatar_split_clause,[],[f491,f2303]) ).

fof(f2303,plain,
    ( spl92_307
  <=> sK5 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK55))))))))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_307])]) ).

fof(f491,plain,
    sK5 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK55))))))))))))))))))))),
    inference(cnf_transformation,[],[f5]) ).

fof(f2301,plain,
    spl92_306,
    inference(avatar_split_clause,[],[f37,f2298]) ).

fof(f2298,plain,
    ( spl92_306
  <=> n6 = sum(n15,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_306])]) ).

fof(f37,plain,
    n6 = sum(n15,n12),
    inference(cnf_transformation,[],[f5]) ).

fof(f2296,plain,
    spl92_305,
    inference(avatar_split_clause,[],[f440,f2293]) ).

fof(f2293,plain,
    ( spl92_305
  <=> n4 = sum(n19,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_305])]) ).

fof(f440,plain,
    n4 = sum(n19,n6),
    inference(cnf_transformation,[],[f5]) ).

fof(f2291,plain,
    spl92_304,
    inference(avatar_split_clause,[],[f263,f2288]) ).

fof(f2288,plain,
    ( spl92_304
  <=> n17 = sum(n2,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_304])]) ).

fof(f263,plain,
    n17 = sum(n2,n15),
    inference(cnf_transformation,[],[f5]) ).

fof(f2286,plain,
    spl92_303,
    inference(avatar_split_clause,[],[f302,f2283]) ).

fof(f2283,plain,
    ( spl92_303
  <=> n1 = sum(n17,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_303])]) ).

fof(f302,plain,
    n1 = sum(n17,n5),
    inference(cnf_transformation,[],[f5]) ).

fof(f2281,plain,
    ~ spl92_302,
    inference(avatar_split_clause,[],[f728,f2278]) ).

fof(f2278,plain,
    ( spl92_302
  <=> n0 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_302])]) ).

fof(f728,plain,
    n0 != n19,
    inference(cnf_transformation,[],[f5]) ).

fof(f2276,plain,
    ~ spl92_301,
    inference(avatar_split_clause,[],[f658,f2273]) ).

fof(f2273,plain,
    ( spl92_301
  <=> n15 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_301])]) ).

fof(f658,plain,
    n15 != n19,
    inference(cnf_transformation,[],[f5]) ).

fof(f2271,plain,
    spl92_300,
    inference(avatar_split_clause,[],[f598,f2268]) ).

fof(f2268,plain,
    ( spl92_300
  <=> n14 = sum(n4,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_300])]) ).

fof(f598,plain,
    n14 = sum(n4,n10),
    inference(cnf_transformation,[],[f5]) ).

fof(f2266,plain,
    ~ spl92_299,
    inference(avatar_split_clause,[],[f230,f2263]) ).

fof(f2263,plain,
    ( spl92_299
  <=> n1 = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_299])]) ).

fof(f230,plain,
    n1 != n7,
    inference(cnf_transformation,[],[f5]) ).

fof(f2261,plain,
    spl92_298,
    inference(avatar_split_clause,[],[f506,f2258]) ).

fof(f2258,plain,
    ( spl92_298
  <=> n3 = sum(n19,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_298])]) ).

fof(f506,plain,
    n3 = sum(n19,n5),
    inference(cnf_transformation,[],[f5]) ).

fof(f2256,plain,
    ~ spl92_297,
    inference(avatar_split_clause,[],[f92,f2253]) ).

fof(f2253,plain,
    ( spl92_297
  <=> n3 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_297])]) ).

fof(f92,plain,
    n3 != n15,
    inference(cnf_transformation,[],[f5]) ).

fof(f2251,plain,
    ~ spl92_296,
    inference(avatar_split_clause,[],[f444,f2248]) ).

fof(f2248,plain,
    ( spl92_296
  <=> n19 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_296])]) ).

fof(f444,plain,
    n19 != n20,
    inference(cnf_transformation,[],[f5]) ).

fof(f2246,plain,
    ~ spl92_295,
    inference(avatar_split_clause,[],[f209,f2243]) ).

fof(f2243,plain,
    ( spl92_295
  <=> n3 = n6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_295])]) ).

fof(f209,plain,
    n3 != n6,
    inference(cnf_transformation,[],[f5]) ).

fof(f2241,plain,
    spl92_294,
    inference(avatar_split_clause,[],[f466,f2238]) ).

fof(f2238,plain,
    ( spl92_294
  <=> n2 = sum(n14,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_294])]) ).

fof(f466,plain,
    n2 = sum(n14,n9),
    inference(cnf_transformation,[],[f5]) ).

fof(f2236,plain,
    spl92_293,
    inference(avatar_split_clause,[],[f55,f2233]) ).

fof(f2233,plain,
    ( spl92_293
  <=> succ(n6) = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_293])]) ).

fof(f55,plain,
    succ(n6) = n7,
    inference(cnf_transformation,[],[f5]) ).

fof(f2231,plain,
    ~ spl92_292,
    inference(avatar_split_clause,[],[f347,f2228]) ).

fof(f2228,plain,
    ( spl92_292
  <=> n10 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_292])]) ).

fof(f347,plain,
    n10 != n14,
    inference(cnf_transformation,[],[f5]) ).

fof(f2226,plain,
    spl92_291,
    inference(avatar_split_clause,[],[f190,f2223]) ).

fof(f2223,plain,
    ( spl92_291
  <=> n6 = sum(n8,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_291])]) ).

fof(f190,plain,
    n6 = sum(n8,n19),
    inference(cnf_transformation,[],[f5]) ).

fof(f2221,plain,
    spl92_290,
    inference(avatar_split_clause,[],[f389,f2218]) ).

fof(f2218,plain,
    ( spl92_290
  <=> sK62 = sum(sum(pred(sK47),succ(sK3)),sum(pred(sK3),succ(sK47))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_290])]) ).

fof(f389,plain,
    sK62 = sum(sum(pred(sK47),succ(sK3)),sum(pred(sK3),succ(sK47))),
    inference(cnf_transformation,[],[f5]) ).

fof(f2216,plain,
    ~ spl92_289,
    inference(avatar_split_clause,[],[f239,f2213]) ).

fof(f2213,plain,
    ( spl92_289
  <=> n1 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_289])]) ).

fof(f239,plain,
    n1 != n18,
    inference(cnf_transformation,[],[f5]) ).

fof(f2211,plain,
    spl92_288,
    inference(avatar_split_clause,[],[f323,f2208]) ).

fof(f2208,plain,
    ( spl92_288
  <=> n6 = sum(n4,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_288])]) ).

fof(f323,plain,
    n6 = sum(n4,n2),
    inference(cnf_transformation,[],[f5]) ).

fof(f2206,plain,
    spl92_287,
    inference(avatar_split_clause,[],[f388,f2203]) ).

fof(f2203,plain,
    ( spl92_287
  <=> n8 = sum(n0,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_287])]) ).

fof(f388,plain,
    n8 = sum(n0,n8),
    inference(cnf_transformation,[],[f5]) ).

fof(f2201,plain,
    spl92_286,
    inference(avatar_split_clause,[],[f317,f2198]) ).

fof(f2198,plain,
    ( spl92_286
  <=> n9 = sum(n2,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_286])]) ).

fof(f317,plain,
    n9 = sum(n2,n7),
    inference(cnf_transformation,[],[f5]) ).

fof(f2196,plain,
    spl92_285,
    inference(avatar_split_clause,[],[f118,f2193]) ).

fof(f2193,plain,
    ( spl92_285
  <=> sK87 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK58))))))))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_285])]) ).

fof(f118,plain,
    sK87 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK58))))))))))))))))))))),
    inference(cnf_transformation,[],[f5]) ).

fof(f2191,plain,
    spl92_284,
    inference(avatar_split_clause,[],[f176,f2188]) ).

fof(f2188,plain,
    ( spl92_284
  <=> n1 = sum(n19,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_284])]) ).

fof(f176,plain,
    n1 = sum(n19,n3),
    inference(cnf_transformation,[],[f5]) ).

fof(f2186,plain,
    spl92_283,
    inference(avatar_split_clause,[],[f15,f2183]) ).

fof(f2183,plain,
    ( spl92_283
  <=> n15 = sum(n4,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_283])]) ).

fof(f15,plain,
    n15 = sum(n4,n11),
    inference(cnf_transformation,[],[f5]) ).

fof(f2181,plain,
    ~ spl92_282,
    inference(avatar_split_clause,[],[f93,f2178]) ).

fof(f2178,plain,
    ( spl92_282
  <=> n6 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_282])]) ).

fof(f93,plain,
    n6 != n18,
    inference(cnf_transformation,[],[f5]) ).

fof(f2176,plain,
    spl92_281,
    inference(avatar_split_clause,[],[f628,f2173]) ).

fof(f2173,plain,
    ( spl92_281
  <=> n16 = sum(n10,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_281])]) ).

fof(f628,plain,
    n16 = sum(n10,n6),
    inference(cnf_transformation,[],[f5]) ).

fof(f2171,plain,
    ~ spl92_280,
    inference(avatar_split_clause,[],[f682,f2168]) ).

fof(f2168,plain,
    ( spl92_280
  <=> n0 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_280])]) ).

fof(f682,plain,
    n0 != n16,
    inference(cnf_transformation,[],[f5]) ).

fof(f2166,plain,
    ~ spl92_279,
    inference(avatar_split_clause,[],[f202,f2163]) ).

fof(f2163,plain,
    ( spl92_279
  <=> n6 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_279])]) ).

fof(f202,plain,
    n6 != n15,
    inference(cnf_transformation,[],[f5]) ).

fof(f2161,plain,
    ~ spl92_278,
    inference(avatar_split_clause,[],[f689,f2158]) ).

fof(f2158,plain,
    ( spl92_278
  <=> n11 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_278])]) ).

fof(f689,plain,
    n11 != n20,
    inference(cnf_transformation,[],[f5]) ).

fof(f2156,plain,
    ( spl92_257
    | spl92_258
    | spl92_259
    | spl92_260
    | spl92_261
    | spl92_262
    | spl92_263
    | spl92_264
    | spl92_265
    | spl92_266
    | spl92_267
    | spl92_268
    | spl92_269
    | spl92_270
    | spl92_271
    | spl92_272
    | spl92_273
    | spl92_274
    | spl92_275
    | spl92_276
    | spl92_277 ),
    inference(avatar_split_clause,[],[f238,f2153,f2149,f2145,f2141,f2137,f2133,f2129,f2125,f2121,f2117,f2113,f2109,f2105,f2101,f2097,f2093,f2089,f2085,f2081,f2077,f2073]) ).

fof(f2073,plain,
    ( spl92_257
  <=> n16 = sK15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_257])]) ).

fof(f2077,plain,
    ( spl92_258
  <=> n1 = sK15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_258])]) ).

fof(f2081,plain,
    ( spl92_259
  <=> n13 = sK15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_259])]) ).

fof(f2085,plain,
    ( spl92_260
  <=> n7 = sK15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_260])]) ).

fof(f2089,plain,
    ( spl92_261
  <=> n10 = sK15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_261])]) ).

fof(f2093,plain,
    ( spl92_262
  <=> n9 = sK15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_262])]) ).

fof(f2097,plain,
    ( spl92_263
  <=> n0 = sK15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_263])]) ).

fof(f2101,plain,
    ( spl92_264
  <=> n20 = sK15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_264])]) ).

fof(f2105,plain,
    ( spl92_265
  <=> n18 = sK15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_265])]) ).

fof(f2109,plain,
    ( spl92_266
  <=> n8 = sK15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_266])]) ).

fof(f2113,plain,
    ( spl92_267
  <=> n5 = sK15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_267])]) ).

fof(f2117,plain,
    ( spl92_268
  <=> n6 = sK15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_268])]) ).

fof(f2121,plain,
    ( spl92_269
  <=> n15 = sK15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_269])]) ).

fof(f2125,plain,
    ( spl92_270
  <=> n12 = sK15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_270])]) ).

fof(f2129,plain,
    ( spl92_271
  <=> n4 = sK15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_271])]) ).

fof(f2133,plain,
    ( spl92_272
  <=> n2 = sK15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_272])]) ).

fof(f2137,plain,
    ( spl92_273
  <=> n14 = sK15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_273])]) ).

fof(f2141,plain,
    ( spl92_274
  <=> n3 = sK15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_274])]) ).

fof(f2145,plain,
    ( spl92_275
  <=> n17 = sK15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_275])]) ).

fof(f2149,plain,
    ( spl92_276
  <=> n19 = sK15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_276])]) ).

fof(f2153,plain,
    ( spl92_277
  <=> n11 = sK15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_277])]) ).

fof(f238,plain,
    ( n11 = sK15
    | n19 = sK15
    | n17 = sK15
    | n3 = sK15
    | n14 = sK15
    | n2 = sK15
    | n4 = sK15
    | n12 = sK15
    | n15 = sK15
    | n6 = sK15
    | n5 = sK15
    | n8 = sK15
    | n18 = sK15
    | n20 = sK15
    | n0 = sK15
    | n9 = sK15
    | n10 = sK15
    | n7 = sK15
    | n13 = sK15
    | n1 = sK15
    | n16 = sK15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f2071,plain,
    ~ spl92_256,
    inference(avatar_split_clause,[],[f322,f2068]) ).

fof(f2068,plain,
    ( spl92_256
  <=> n6 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_256])]) ).

fof(f322,plain,
    n6 != n10,
    inference(cnf_transformation,[],[f5]) ).

fof(f2066,plain,
    ~ spl92_255,
    inference(avatar_split_clause,[],[f307,f2063]) ).

fof(f2063,plain,
    ( spl92_255
  <=> n5 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_255])]) ).

fof(f307,plain,
    n5 != n14,
    inference(cnf_transformation,[],[f5]) ).

fof(f2061,plain,
    spl92_254,
    inference(avatar_split_clause,[],[f765,f2058]) ).

fof(f2058,plain,
    ( spl92_254
  <=> n18 = sum(n14,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_254])]) ).

fof(f765,plain,
    n18 = sum(n14,n4),
    inference(cnf_transformation,[],[f5]) ).

fof(f2056,plain,
    spl92_253,
    inference(avatar_split_clause,[],[f187,f2053]) ).

fof(f2053,plain,
    ( spl92_253
  <=> n11 = sum(n4,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_253])]) ).

fof(f187,plain,
    n11 = sum(n4,n7),
    inference(cnf_transformation,[],[f5]) ).

fof(f2051,plain,
    spl92_252,
    inference(avatar_split_clause,[],[f410,f2048]) ).

fof(f2048,plain,
    ( spl92_252
  <=> n11 = sum(n15,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_252])]) ).

fof(f410,plain,
    n11 = sum(n15,n17),
    inference(cnf_transformation,[],[f5]) ).

fof(f2046,plain,
    spl92_251,
    inference(avatar_split_clause,[],[f288,f2043]) ).

fof(f2043,plain,
    ( spl92_251
  <=> n20 = sum(n8,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_251])]) ).

fof(f288,plain,
    n20 = sum(n8,n12),
    inference(cnf_transformation,[],[f5]) ).

fof(f2041,plain,
    spl92_250,
    inference(avatar_split_clause,[],[f436,f2038]) ).

fof(f2038,plain,
    ( spl92_250
  <=> n20 = sum(n18,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_250])]) ).

fof(f436,plain,
    n20 = sum(n18,n2),
    inference(cnf_transformation,[],[f5]) ).

fof(f2036,plain,
    ~ spl92_249,
    inference(avatar_split_clause,[],[f45,f2033]) ).

fof(f2033,plain,
    ( spl92_249
  <=> n0 = n1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_249])]) ).

fof(f45,plain,
    n0 != n1,
    inference(cnf_transformation,[],[f5]) ).

fof(f2031,plain,
    ~ spl92_248,
    inference(avatar_split_clause,[],[f663,f2028]) ).

fof(f2028,plain,
    ( spl92_248
  <=> n0 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_248])]) ).

fof(f663,plain,
    n0 != n9,
    inference(cnf_transformation,[],[f5]) ).

fof(f2026,plain,
    spl92_247,
    inference(avatar_split_clause,[],[f714,f2023]) ).

fof(f2023,plain,
    ( spl92_247
  <=> n5 = sum(n1,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_247])]) ).

fof(f714,plain,
    n5 = sum(n1,n4),
    inference(cnf_transformation,[],[f5]) ).

fof(f2021,plain,
    ~ spl92_246,
    inference(avatar_split_clause,[],[f582,f2018]) ).

fof(f2018,plain,
    ( spl92_246
  <=> n15 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_246])]) ).

fof(f582,plain,
    n15 != n16,
    inference(cnf_transformation,[],[f5]) ).

fof(f2016,plain,
    spl92_245,
    inference(avatar_split_clause,[],[f329,f2013]) ).

fof(f2013,plain,
    ( spl92_245
  <=> n3 = sum(n1,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_245])]) ).

fof(f329,plain,
    n3 = sum(n1,n2),
    inference(cnf_transformation,[],[f5]) ).

fof(f2011,plain,
    spl92_244,
    inference(avatar_split_clause,[],[f496,f2008]) ).

fof(f2008,plain,
    ( spl92_244
  <=> pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK45))))))))))))))))))))) = sK65 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_244])]) ).

fof(f496,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK45))))))))))))))))))))) = sK65,
    inference(cnf_transformation,[],[f5]) ).

fof(f2006,plain,
    ~ spl92_243,
    inference(avatar_split_clause,[],[f96,f2003]) ).

fof(f2003,plain,
    ( spl92_243
  <=> n0 = n5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_243])]) ).

fof(f96,plain,
    n0 != n5,
    inference(cnf_transformation,[],[f5]) ).

fof(f2001,plain,
    spl92_242,
    inference(avatar_split_clause,[],[f399,f1998]) ).

fof(f1998,plain,
    ( spl92_242
  <=> n7 = sum(n5,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_242])]) ).

fof(f399,plain,
    n7 = sum(n5,n2),
    inference(cnf_transformation,[],[f5]) ).

fof(f1996,plain,
    spl92_241,
    inference(avatar_split_clause,[],[f159,f1993]) ).

fof(f1993,plain,
    ( spl92_241
  <=> n2 = sum(n12,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_241])]) ).

fof(f159,plain,
    n2 = sum(n12,n11),
    inference(cnf_transformation,[],[f5]) ).

fof(f1991,plain,
    spl92_240,
    inference(avatar_split_clause,[],[f747,f1988]) ).

fof(f1988,plain,
    ( spl92_240
  <=> n6 = sum(n20,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_240])]) ).

fof(f747,plain,
    n6 = sum(n20,n7),
    inference(cnf_transformation,[],[f5]) ).

fof(f1986,plain,
    ~ spl92_239,
    inference(avatar_split_clause,[],[f552,f1983]) ).

fof(f1983,plain,
    ( spl92_239
  <=> n10 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_239])]) ).

fof(f552,plain,
    n10 != n13,
    inference(cnf_transformation,[],[f5]) ).

fof(f1981,plain,
    spl92_238,
    inference(avatar_split_clause,[],[f550,f1978]) ).

fof(f1978,plain,
    ( spl92_238
  <=> n9 = sum(n14,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_238])]) ).

fof(f550,plain,
    n9 = sum(n14,n16),
    inference(cnf_transformation,[],[f5]) ).

fof(f1976,plain,
    spl92_237,
    inference(avatar_split_clause,[],[f40,f1973]) ).

fof(f1973,plain,
    ( spl92_237
  <=> succ(n18) = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_237])]) ).

fof(f40,plain,
    succ(n18) = n19,
    inference(cnf_transformation,[],[f5]) ).

fof(f1971,plain,
    spl92_236,
    inference(avatar_split_clause,[],[f464,f1968]) ).

fof(f1968,plain,
    ( spl92_236
  <=> n20 = sum(n11,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_236])]) ).

fof(f464,plain,
    n20 = sum(n11,n9),
    inference(cnf_transformation,[],[f5]) ).

fof(f1966,plain,
    spl92_235,
    inference(avatar_split_clause,[],[f380,f1963]) ).

fof(f1963,plain,
    ( spl92_235
  <=> n11 = sum(n17,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_235])]) ).

fof(f380,plain,
    n11 = sum(n17,n15),
    inference(cnf_transformation,[],[f5]) ).

fof(f1961,plain,
    ~ spl92_234,
    inference(avatar_split_clause,[],[f425,f1958]) ).

fof(f1958,plain,
    ( spl92_234
  <=> n6 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_234])]) ).

fof(f425,plain,
    n6 != n8,
    inference(cnf_transformation,[],[f5]) ).

fof(f1956,plain,
    spl92_233,
    inference(avatar_split_clause,[],[f177,f1953]) ).

fof(f1953,plain,
    ( spl92_233
  <=> n12 = sum(n12,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_233])]) ).

fof(f177,plain,
    n12 = sum(n12,n0),
    inference(cnf_transformation,[],[f5]) ).

fof(f1951,plain,
    spl92_232,
    inference(avatar_split_clause,[],[f124,f1948]) ).

fof(f1948,plain,
    ( spl92_232
  <=> n0 = sum(n17,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_232])]) ).

fof(f124,plain,
    n0 = sum(n17,n4),
    inference(cnf_transformation,[],[f5]) ).

fof(f1946,plain,
    spl92_231,
    inference(avatar_split_clause,[],[f538,f1943]) ).

fof(f1943,plain,
    ( spl92_231
  <=> sK61 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK76))))))))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_231])]) ).

fof(f538,plain,
    sK61 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK76))))))))))))))))))))),
    inference(cnf_transformation,[],[f5]) ).

fof(f1941,plain,
    spl92_230,
    inference(avatar_split_clause,[],[f8,f1938]) ).

fof(f1938,plain,
    ( spl92_230
  <=> n11 = sum(n20,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_230])]) ).

fof(f8,plain,
    n11 = sum(n20,n12),
    inference(cnf_transformation,[],[f5]) ).

fof(f1936,plain,
    spl92_229,
    inference(avatar_split_clause,[],[f276,f1933]) ).

fof(f1933,plain,
    ( spl92_229
  <=> sum(sum(pred(sK56),succ(sK85)),sum(pred(sK85),succ(sK56))) = sK54 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_229])]) ).

fof(f276,plain,
    sum(sum(pred(sK56),succ(sK85)),sum(pred(sK85),succ(sK56))) = sK54,
    inference(cnf_transformation,[],[f5]) ).

fof(f1931,plain,
    spl92_228,
    inference(avatar_split_clause,[],[f546,f1928]) ).

fof(f1928,plain,
    ( spl92_228
  <=> n14 = sum(n8,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_228])]) ).

fof(f546,plain,
    n14 = sum(n8,n6),
    inference(cnf_transformation,[],[f5]) ).

fof(f1926,plain,
    ~ spl92_227,
    inference(avatar_split_clause,[],[f360,f1923]) ).

fof(f1923,plain,
    ( spl92_227
  <=> n15 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_227])]) ).

fof(f360,plain,
    n15 != n18,
    inference(cnf_transformation,[],[f5]) ).

fof(f1921,plain,
    spl92_226,
    inference(avatar_split_clause,[],[f132,f1918]) ).

fof(f1918,plain,
    ( spl92_226
  <=> n8 = pred(n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_226])]) ).

fof(f132,plain,
    n8 = pred(n9),
    inference(cnf_transformation,[],[f5]) ).

fof(f1916,plain,
    spl92_225,
    inference(avatar_split_clause,[],[f383,f1913]) ).

fof(f1913,plain,
    ( spl92_225
  <=> n0 = sum(n12,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_225])]) ).

fof(f383,plain,
    n0 = sum(n12,n9),
    inference(cnf_transformation,[],[f5]) ).

fof(f1911,plain,
    spl92_224,
    inference(avatar_split_clause,[],[f267,f1908]) ).

fof(f1908,plain,
    ( spl92_224
  <=> n20 = sum(n4,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_224])]) ).

fof(f267,plain,
    n20 = sum(n4,n16),
    inference(cnf_transformation,[],[f5]) ).

fof(f1906,plain,
    spl92_223,
    inference(avatar_split_clause,[],[f146,f1903]) ).

fof(f1903,plain,
    ( spl92_223
  <=> n11 = sum(n0,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_223])]) ).

fof(f146,plain,
    n11 = sum(n0,n11),
    inference(cnf_transformation,[],[f5]) ).

fof(f1901,plain,
    spl92_222,
    inference(avatar_split_clause,[],[f312,f1898]) ).

fof(f1898,plain,
    ( spl92_222
  <=> sK32 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK91))))))))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_222])]) ).

fof(f312,plain,
    sK32 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK91))))))))))))))))))))),
    inference(cnf_transformation,[],[f5]) ).

fof(f1896,plain,
    ~ spl92_221,
    inference(avatar_split_clause,[],[f690,f1893]) ).

fof(f1893,plain,
    ( spl92_221
  <=> n4 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_221])]) ).

fof(f690,plain,
    n4 != n19,
    inference(cnf_transformation,[],[f5]) ).

fof(f1891,plain,
    spl92_220,
    inference(avatar_split_clause,[],[f456,f1888]) ).

fof(f1888,plain,
    ( spl92_220
  <=> sK13 = sum(pred(sK68),sum(succ(sK83),sum(pred(sK17),succ(sK65)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_220])]) ).

fof(f456,plain,
    sK13 = sum(pred(sK68),sum(succ(sK83),sum(pred(sK17),succ(sK65)))),
    inference(cnf_transformation,[],[f5]) ).

fof(f1886,plain,
    spl92_219,
    inference(avatar_split_clause,[],[f652,f1883]) ).

fof(f1883,plain,
    ( spl92_219
  <=> sK42 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK3))))))))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_219])]) ).

fof(f652,plain,
    sK42 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK3))))))))))))))))))))),
    inference(cnf_transformation,[],[f5]) ).

fof(f1881,plain,
    spl92_218,
    inference(avatar_split_clause,[],[f193,f1878]) ).

fof(f1878,plain,
    ( spl92_218
  <=> n13 = sum(n17,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_218])]) ).

fof(f193,plain,
    n13 = sum(n17,n17),
    inference(cnf_transformation,[],[f5]) ).

fof(f1876,plain,
    spl92_217,
    inference(avatar_split_clause,[],[f423,f1873]) ).

fof(f1873,plain,
    ( spl92_217
  <=> n10 = sum(n7,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_217])]) ).

fof(f423,plain,
    n10 = sum(n7,n3),
    inference(cnf_transformation,[],[f5]) ).

fof(f1871,plain,
    spl92_216,
    inference(avatar_split_clause,[],[f535,f1868]) ).

fof(f1868,plain,
    ( spl92_216
  <=> n6 = sum(n0,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_216])]) ).

fof(f535,plain,
    n6 = sum(n0,n6),
    inference(cnf_transformation,[],[f5]) ).

fof(f1866,plain,
    spl92_215,
    inference(avatar_split_clause,[],[f450,f1863]) ).

fof(f1863,plain,
    ( spl92_215
  <=> n17 = sum(n16,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_215])]) ).

fof(f450,plain,
    n17 = sum(n16,n1),
    inference(cnf_transformation,[],[f5]) ).

fof(f1861,plain,
    spl92_214,
    inference(avatar_split_clause,[],[f485,f1858]) ).

fof(f1858,plain,
    ( spl92_214
  <=> n13 = sum(n18,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_214])]) ).

fof(f485,plain,
    n13 = sum(n18,n16),
    inference(cnf_transformation,[],[f5]) ).

fof(f1856,plain,
    spl92_213,
    inference(avatar_split_clause,[],[f242,f1853]) ).

fof(f1853,plain,
    ( spl92_213
  <=> n18 = sum(n3,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_213])]) ).

fof(f242,plain,
    n18 = sum(n3,n15),
    inference(cnf_transformation,[],[f5]) ).

fof(f1851,plain,
    spl92_212,
    inference(avatar_split_clause,[],[f701,f1848]) ).

fof(f1848,plain,
    ( spl92_212
  <=> n3 = sum(n12,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_212])]) ).

fof(f701,plain,
    n3 = sum(n12,n12),
    inference(cnf_transformation,[],[f5]) ).

fof(f1846,plain,
    spl92_211,
    inference(avatar_split_clause,[],[f43,f1843]) ).

fof(f1843,plain,
    ( spl92_211
  <=> n14 = sum(n11,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_211])]) ).

fof(f43,plain,
    n14 = sum(n11,n3),
    inference(cnf_transformation,[],[f5]) ).

fof(f1841,plain,
    spl92_210,
    inference(avatar_split_clause,[],[f359,f1838]) ).

fof(f1838,plain,
    ( spl92_210
  <=> n12 = sum(n1,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_210])]) ).

fof(f359,plain,
    n12 = sum(n1,n11),
    inference(cnf_transformation,[],[f5]) ).

fof(f1836,plain,
    spl92_209,
    inference(avatar_split_clause,[],[f782,f1833]) ).

fof(f1833,plain,
    ( spl92_209
  <=> sK50 = sum(sum(pred(sK54),succ(sK58)),sum(pred(sK58),succ(sK54))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_209])]) ).

fof(f782,plain,
    sK50 = sum(sum(pred(sK54),succ(sK58)),sum(pred(sK58),succ(sK54))),
    inference(cnf_transformation,[],[f5]) ).

fof(f1831,plain,
    spl92_208,
    inference(avatar_split_clause,[],[f780,f1828]) ).

fof(f1828,plain,
    ( spl92_208
  <=> n16 = sum(n18,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_208])]) ).

fof(f780,plain,
    n16 = sum(n18,n19),
    inference(cnf_transformation,[],[f5]) ).

fof(f1826,plain,
    ~ spl92_207,
    inference(avatar_split_clause,[],[f183,f1823]) ).

fof(f1823,plain,
    ( spl92_207
  <=> n10 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_207])]) ).

fof(f183,plain,
    n10 != n16,
    inference(cnf_transformation,[],[f5]) ).

fof(f1821,plain,
    spl92_206,
    inference(avatar_split_clause,[],[f666,f1818]) ).

fof(f1818,plain,
    ( spl92_206
  <=> n11 = sum(n11,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_206])]) ).

fof(f666,plain,
    n11 = sum(n11,n0),
    inference(cnf_transformation,[],[f5]) ).

fof(f1816,plain,
    spl92_205,
    inference(avatar_split_clause,[],[f721,f1813]) ).

fof(f1813,plain,
    ( spl92_205
  <=> n12 = sum(n5,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_205])]) ).

fof(f721,plain,
    n12 = sum(n5,n7),
    inference(cnf_transformation,[],[f5]) ).

fof(f1811,plain,
    spl92_204,
    inference(avatar_split_clause,[],[f472,f1808]) ).

fof(f1808,plain,
    ( spl92_204
  <=> n7 = sum(n15,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_204])]) ).

fof(f472,plain,
    n7 = sum(n15,n13),
    inference(cnf_transformation,[],[f5]) ).

fof(f1806,plain,
    spl92_203,
    inference(avatar_split_clause,[],[f134,f1803]) ).

fof(f1803,plain,
    ( spl92_203
  <=> n2 = sum(n17,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_203])]) ).

fof(f134,plain,
    n2 = sum(n17,n6),
    inference(cnf_transformation,[],[f5]) ).

fof(f1801,plain,
    spl92_202,
    inference(avatar_split_clause,[],[f164,f1798]) ).

fof(f1798,plain,
    ( spl92_202
  <=> n13 = sum(n3,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_202])]) ).

fof(f164,plain,
    n13 = sum(n3,n10),
    inference(cnf_transformation,[],[f5]) ).

fof(f1796,plain,
    spl92_201,
    inference(avatar_split_clause,[],[f751,f1793]) ).

fof(f1793,plain,
    ( spl92_201
  <=> n10 = sum(n5,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_201])]) ).

fof(f751,plain,
    n10 = sum(n5,n5),
    inference(cnf_transformation,[],[f5]) ).

fof(f1791,plain,
    ~ spl92_200,
    inference(avatar_split_clause,[],[f467,f1788]) ).

fof(f1788,plain,
    ( spl92_200
  <=> n18 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_200])]) ).

fof(f467,plain,
    n18 != n20,
    inference(cnf_transformation,[],[f5]) ).

fof(f1786,plain,
    ~ spl92_199,
    inference(avatar_split_clause,[],[f504,f1783]) ).

fof(f1783,plain,
    ( spl92_199
  <=> n9 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_199])]) ).

fof(f504,plain,
    n9 != n19,
    inference(cnf_transformation,[],[f5]) ).

fof(f1781,plain,
    ~ spl92_198,
    inference(avatar_split_clause,[],[f622,f1778]) ).

fof(f1778,plain,
    ( spl92_198
  <=> n8 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_198])]) ).

fof(f622,plain,
    n8 != n20,
    inference(cnf_transformation,[],[f5]) ).

fof(f1776,plain,
    spl92_197,
    inference(avatar_split_clause,[],[f783,f1773]) ).

fof(f1773,plain,
    ( spl92_197
  <=> n12 = sum(n4,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_197])]) ).

fof(f783,plain,
    n12 = sum(n4,n8),
    inference(cnf_transformation,[],[f5]) ).

fof(f1771,plain,
    spl92_196,
    inference(avatar_split_clause,[],[f174,f1768]) ).

fof(f1768,plain,
    ( spl92_196
  <=> n9 = sum(n13,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_196])]) ).

fof(f174,plain,
    n9 = sum(n13,n17),
    inference(cnf_transformation,[],[f5]) ).

fof(f1766,plain,
    spl92_195,
    inference(avatar_split_clause,[],[f274,f1763]) ).

fof(f1763,plain,
    ( spl92_195
  <=> sK89 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK13))))))))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_195])]) ).

fof(f274,plain,
    sK89 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK13))))))))))))))))))))),
    inference(cnf_transformation,[],[f5]) ).

fof(f1761,plain,
    spl92_194,
    inference(avatar_split_clause,[],[f74,f1758]) ).

fof(f1758,plain,
    ( spl92_194
  <=> n10 = sum(n0,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_194])]) ).

fof(f74,plain,
    n10 = sum(n0,n10),
    inference(cnf_transformation,[],[f5]) ).

fof(f1756,plain,
    spl92_193,
    inference(avatar_split_clause,[],[f46,f1753]) ).

fof(f1753,plain,
    ( spl92_193
  <=> n15 = sum(n15,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_193])]) ).

fof(f46,plain,
    n15 = sum(n15,n0),
    inference(cnf_transformation,[],[f5]) ).

fof(f1751,plain,
    spl92_192,
    inference(avatar_split_clause,[],[f495,f1748]) ).

fof(f1748,plain,
    ( spl92_192
  <=> succ(n2) = n3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_192])]) ).

fof(f495,plain,
    succ(n2) = n3,
    inference(cnf_transformation,[],[f5]) ).

fof(f1746,plain,
    spl92_191,
    inference(avatar_split_clause,[],[f544,f1743]) ).

fof(f1743,plain,
    ( spl92_191
  <=> sum(sum(pred(sK62),succ(sK1)),sum(pred(sK1),succ(sK62))) = sK24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_191])]) ).

fof(f544,plain,
    sum(sum(pred(sK62),succ(sK1)),sum(pred(sK1),succ(sK62))) = sK24,
    inference(cnf_transformation,[],[f5]) ).

fof(f1741,plain,
    spl92_190,
    inference(avatar_split_clause,[],[f80,f1738]) ).

fof(f1738,plain,
    ( spl92_190
  <=> n11 = sum(n9,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_190])]) ).

fof(f80,plain,
    n11 = sum(n9,n2),
    inference(cnf_transformation,[],[f5]) ).

fof(f1736,plain,
    ~ spl92_189,
    inference(avatar_split_clause,[],[f109,f1733]) ).

fof(f1733,plain,
    ( spl92_189
  <=> n12 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_189])]) ).

fof(f109,plain,
    n12 != n14,
    inference(cnf_transformation,[],[f5]) ).

fof(f1731,plain,
    spl92_188,
    inference(avatar_split_clause,[],[f739,f1728]) ).

fof(f1728,plain,
    ( spl92_188
  <=> n9 = sum(n3,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_188])]) ).

fof(f739,plain,
    n9 = sum(n3,n6),
    inference(cnf_transformation,[],[f5]) ).

fof(f1726,plain,
    spl92_187,
    inference(avatar_split_clause,[],[f753,f1723]) ).

fof(f1723,plain,
    ( spl92_187
  <=> n0 = sum(n5,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_187])]) ).

fof(f753,plain,
    n0 = sum(n5,n16),
    inference(cnf_transformation,[],[f5]) ).

fof(f1721,plain,
    ~ spl92_186,
    inference(avatar_split_clause,[],[f85,f1718]) ).

fof(f1718,plain,
    ( spl92_186
  <=> n4 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_186])]) ).

fof(f85,plain,
    n4 != n14,
    inference(cnf_transformation,[],[f5]) ).

fof(f1716,plain,
    spl92_185,
    inference(avatar_split_clause,[],[f631,f1713]) ).

fof(f1713,plain,
    ( spl92_185
  <=> succ(n13) = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_185])]) ).

fof(f631,plain,
    succ(n13) = n14,
    inference(cnf_transformation,[],[f5]) ).

fof(f1711,plain,
    spl92_184,
    inference(avatar_split_clause,[],[f460,f1708]) ).

fof(f1708,plain,
    ( spl92_184
  <=> n11 = sum(n12,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_184])]) ).

fof(f460,plain,
    n11 = sum(n12,n20),
    inference(cnf_transformation,[],[f5]) ).

fof(f1706,plain,
    spl92_183,
    inference(avatar_split_clause,[],[f649,f1703]) ).

fof(f1703,plain,
    ( spl92_183
  <=> n17 = sum(n4,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_183])]) ).

fof(f649,plain,
    n17 = sum(n4,n13),
    inference(cnf_transformation,[],[f5]) ).

fof(f1701,plain,
    spl92_182,
    inference(avatar_split_clause,[],[f95,f1698]) ).

fof(f1698,plain,
    ( spl92_182
  <=> n15 = sum(n11,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_182])]) ).

fof(f95,plain,
    n15 = sum(n11,n4),
    inference(cnf_transformation,[],[f5]) ).

fof(f1696,plain,
    spl92_181,
    inference(avatar_split_clause,[],[f646,f1693]) ).

fof(f1693,plain,
    ( spl92_181
  <=> n4 = sum(n16,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_181])]) ).

fof(f646,plain,
    n4 = sum(n16,n9),
    inference(cnf_transformation,[],[f5]) ).

fof(f1691,plain,
    ~ spl92_180,
    inference(avatar_split_clause,[],[f14,f1688]) ).

fof(f1688,plain,
    ( spl92_180
  <=> n14 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_180])]) ).

fof(f14,plain,
    n14 != n20,
    inference(cnf_transformation,[],[f5]) ).

fof(f1686,plain,
    spl92_179,
    inference(avatar_split_clause,[],[f382,f1683]) ).

fof(f1683,plain,
    ( spl92_179
  <=> n11 = sum(n16,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_179])]) ).

fof(f382,plain,
    n11 = sum(n16,n16),
    inference(cnf_transformation,[],[f5]) ).

fof(f1681,plain,
    spl92_178,
    inference(avatar_split_clause,[],[f769,f1678]) ).

fof(f1678,plain,
    ( spl92_178
  <=> n14 = sum(n16,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_178])]) ).

fof(f769,plain,
    n14 = sum(n16,n19),
    inference(cnf_transformation,[],[f5]) ).

fof(f1676,plain,
    spl92_177,
    inference(avatar_split_clause,[],[f429,f1673]) ).

fof(f1673,plain,
    ( spl92_177
  <=> n12 = sum(n16,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_177])]) ).

fof(f429,plain,
    n12 = sum(n16,n17),
    inference(cnf_transformation,[],[f5]) ).

fof(f1671,plain,
    spl92_176,
    inference(avatar_split_clause,[],[f508,f1668]) ).

fof(f1668,plain,
    ( spl92_176
  <=> n0 = sum(n15,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_176])]) ).

fof(f508,plain,
    n0 = sum(n15,n6),
    inference(cnf_transformation,[],[f5]) ).

fof(f1666,plain,
    spl92_175,
    inference(avatar_split_clause,[],[f379,f1663]) ).

fof(f1663,plain,
    ( spl92_175
  <=> n10 = sum(n3,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_175])]) ).

fof(f379,plain,
    n10 = sum(n3,n7),
    inference(cnf_transformation,[],[f5]) ).

fof(f1661,plain,
    spl92_174,
    inference(avatar_split_clause,[],[f704,f1658]) ).

fof(f1658,plain,
    ( spl92_174
  <=> n0 = sum(n0,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_174])]) ).

fof(f704,plain,
    n0 = sum(n0,n0),
    inference(cnf_transformation,[],[f5]) ).

fof(f1656,plain,
    spl92_173,
    inference(avatar_split_clause,[],[f331,f1653]) ).

fof(f1653,plain,
    ( spl92_173
  <=> n5 = sum(n20,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_173])]) ).

fof(f331,plain,
    n5 = sum(n20,n6),
    inference(cnf_transformation,[],[f5]) ).

fof(f1651,plain,
    ~ spl92_172,
    inference(avatar_split_clause,[],[f353,f1648]) ).

fof(f1648,plain,
    ( spl92_172
  <=> n4 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_172])]) ).

fof(f353,plain,
    n4 != n13,
    inference(cnf_transformation,[],[f5]) ).

fof(f1646,plain,
    spl92_171,
    inference(avatar_split_clause,[],[f787,f1643]) ).

fof(f1643,plain,
    ( spl92_171
  <=> n17 = sum(n15,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_171])]) ).

fof(f787,plain,
    n17 = sum(n15,n2),
    inference(cnf_transformation,[],[f5]) ).

fof(f1641,plain,
    spl92_170,
    inference(avatar_split_clause,[],[f534,f1638]) ).

fof(f1638,plain,
    ( spl92_170
  <=> n2 = sum(n10,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_170])]) ).

fof(f534,plain,
    n2 = sum(n10,n13),
    inference(cnf_transformation,[],[f5]) ).

fof(f1636,plain,
    spl92_169,
    inference(avatar_split_clause,[],[f437,f1633]) ).

fof(f1633,plain,
    ( spl92_169
  <=> n3 = sum(n18,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_169])]) ).

fof(f437,plain,
    n3 = sum(n18,n6),
    inference(cnf_transformation,[],[f5]) ).

fof(f1631,plain,
    spl92_168,
    inference(avatar_split_clause,[],[f269,f1628]) ).

fof(f1628,plain,
    ( spl92_168
  <=> n5 = sum(n10,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_168])]) ).

fof(f269,plain,
    n5 = sum(n10,n16),
    inference(cnf_transformation,[],[f5]) ).

fof(f1626,plain,
    spl92_167,
    inference(avatar_split_clause,[],[f468,f1623]) ).

fof(f1623,plain,
    ( spl92_167
  <=> succ(n11) = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_167])]) ).

fof(f468,plain,
    succ(n11) = n12,
    inference(cnf_transformation,[],[f5]) ).

fof(f1621,plain,
    spl92_166,
    inference(avatar_split_clause,[],[f29,f1618]) ).

fof(f1618,plain,
    ( spl92_166
  <=> n11 = sum(n19,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_166])]) ).

fof(f29,plain,
    n11 = sum(n19,n13),
    inference(cnf_transformation,[],[f5]) ).

fof(f1616,plain,
    spl92_165,
    inference(avatar_split_clause,[],[f484,f1613]) ).

fof(f1613,plain,
    ( spl92_165
  <=> n4 = sum(n1,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_165])]) ).

fof(f484,plain,
    n4 = sum(n1,n3),
    inference(cnf_transformation,[],[f5]) ).

fof(f1611,plain,
    ~ spl92_164,
    inference(avatar_split_clause,[],[f615,f1608]) ).

fof(f1608,plain,
    ( spl92_164
  <=> n6 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_164])]) ).

fof(f615,plain,
    n6 != n9,
    inference(cnf_transformation,[],[f5]) ).

fof(f1606,plain,
    spl92_163,
    inference(avatar_split_clause,[],[f639,f1603]) ).

fof(f1603,plain,
    ( spl92_163
  <=> n5 = sum(n14,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_163])]) ).

fof(f639,plain,
    n5 = sum(n14,n12),
    inference(cnf_transformation,[],[f5]) ).

fof(f1601,plain,
    spl92_162,
    inference(avatar_split_clause,[],[f41,f1598]) ).

fof(f1598,plain,
    ( spl92_162
  <=> n18 = sum(n2,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_162])]) ).

fof(f41,plain,
    n18 = sum(n2,n16),
    inference(cnf_transformation,[],[f5]) ).

fof(f1596,plain,
    spl92_161,
    inference(avatar_split_clause,[],[f396,f1593]) ).

fof(f1593,plain,
    ( spl92_161
  <=> n13 = sum(n0,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_161])]) ).

fof(f396,plain,
    n13 = sum(n0,n13),
    inference(cnf_transformation,[],[f5]) ).

fof(f1591,plain,
    spl92_160,
    inference(avatar_split_clause,[],[f333,f1588]) ).

fof(f1588,plain,
    ( spl92_160
  <=> n17 = sum(n8,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_160])]) ).

fof(f333,plain,
    n17 = sum(n8,n9),
    inference(cnf_transformation,[],[f5]) ).

fof(f1586,plain,
    spl92_159,
    inference(avatar_split_clause,[],[f653,f1583]) ).

fof(f1583,plain,
    ( spl92_159
  <=> n20 = sum(n20,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_159])]) ).

fof(f653,plain,
    n20 = sum(n20,n0),
    inference(cnf_transformation,[],[f5]) ).

fof(f1581,plain,
    ~ spl92_158,
    inference(avatar_split_clause,[],[f73,f1578]) ).

fof(f1578,plain,
    ( spl92_158
  <=> n7 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_158])]) ).

fof(f73,plain,
    n7 != n10,
    inference(cnf_transformation,[],[f5]) ).

fof(f1576,plain,
    spl92_157,
    inference(avatar_split_clause,[],[f111,f1573]) ).

fof(f1573,plain,
    ( spl92_157
  <=> n7 = sum(n6,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_157])]) ).

fof(f111,plain,
    n7 = sum(n6,n1),
    inference(cnf_transformation,[],[f5]) ).

fof(f1571,plain,
    spl92_156,
    inference(avatar_split_clause,[],[f520,f1568]) ).

fof(f1568,plain,
    ( spl92_156
  <=> n6 = sum(n11,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_156])]) ).

fof(f520,plain,
    n6 = sum(n11,n16),
    inference(cnf_transformation,[],[f5]) ).

fof(f1566,plain,
    spl92_155,
    inference(avatar_split_clause,[],[f136,f1563]) ).

fof(f1563,plain,
    ( spl92_155
  <=> n12 = sum(n9,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_155])]) ).

fof(f136,plain,
    n12 = sum(n9,n3),
    inference(cnf_transformation,[],[f5]) ).

fof(f1561,plain,
    spl92_154,
    inference(avatar_split_clause,[],[f316,f1558]) ).

fof(f1558,plain,
    ( spl92_154
  <=> n12 = sum(n3,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_154])]) ).

fof(f316,plain,
    n12 = sum(n3,n9),
    inference(cnf_transformation,[],[f5]) ).

fof(f1556,plain,
    spl92_153,
    inference(avatar_split_clause,[],[f77,f1553]) ).

fof(f1553,plain,
    ( spl92_153
  <=> n20 = sum(n6,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_153])]) ).

fof(f77,plain,
    n20 = sum(n6,n14),
    inference(cnf_transformation,[],[f5]) ).

fof(f1551,plain,
    spl92_152,
    inference(avatar_split_clause,[],[f673,f1548]) ).

fof(f1548,plain,
    ( spl92_152
  <=> n9 = sum(n1,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_152])]) ).

fof(f673,plain,
    n9 = sum(n1,n8),
    inference(cnf_transformation,[],[f5]) ).

fof(f1546,plain,
    ~ spl92_151,
    inference(avatar_split_clause,[],[f713,f1543]) ).

fof(f1543,plain,
    ( spl92_151
  <=> n0 = n4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_151])]) ).

fof(f713,plain,
    n0 != n4,
    inference(cnf_transformation,[],[f5]) ).

fof(f1541,plain,
    spl92_150,
    inference(avatar_split_clause,[],[f51,f1538]) ).

fof(f1538,plain,
    ( spl92_150
  <=> n2 = sum(n0,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_150])]) ).

fof(f51,plain,
    n2 = sum(n0,n2),
    inference(cnf_transformation,[],[f5]) ).

fof(f1536,plain,
    ~ spl92_149,
    inference(avatar_split_clause,[],[f473,f1533]) ).

fof(f1533,plain,
    ( spl92_149
  <=> n3 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_149])]) ).

fof(f473,plain,
    n3 != n9,
    inference(cnf_transformation,[],[f5]) ).

fof(f1531,plain,
    spl92_148,
    inference(avatar_split_clause,[],[f581,f1528]) ).

fof(f1528,plain,
    ( spl92_148
  <=> sK40 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK38))))))))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_148])]) ).

fof(f581,plain,
    sK40 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK38))))))))))))))))))))),
    inference(cnf_transformation,[],[f5]) ).

fof(f1526,plain,
    spl92_147,
    inference(avatar_split_clause,[],[f66,f1523]) ).

fof(f1523,plain,
    ( spl92_147
  <=> n17 = sum(n10,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_147])]) ).

fof(f66,plain,
    n17 = sum(n10,n7),
    inference(cnf_transformation,[],[f5]) ).

fof(f1521,plain,
    ~ spl92_146,
    inference(avatar_split_clause,[],[f591,f1518]) ).

fof(f1518,plain,
    ( spl92_146
  <=> n6 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_146])]) ).

fof(f591,plain,
    n6 != n12,
    inference(cnf_transformation,[],[f5]) ).

fof(f1516,plain,
    spl92_145,
    inference(avatar_split_clause,[],[f180,f1513]) ).

fof(f1513,plain,
    ( spl92_145
  <=> n5 = sum(n5,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_145])]) ).

fof(f180,plain,
    n5 = sum(n5,n0),
    inference(cnf_transformation,[],[f5]) ).

fof(f1511,plain,
    spl92_144,
    inference(avatar_split_clause,[],[f422,f1508]) ).

fof(f1508,plain,
    ( spl92_144
  <=> n5 = sum(n2,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_144])]) ).

fof(f422,plain,
    n5 = sum(n2,n3),
    inference(cnf_transformation,[],[f5]) ).

fof(f1506,plain,
    spl92_143,
    inference(avatar_split_clause,[],[f210,f1503]) ).

fof(f1503,plain,
    ( spl92_143
  <=> n8 = sum(n10,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_143])]) ).

fof(f210,plain,
    n8 = sum(n10,n19),
    inference(cnf_transformation,[],[f5]) ).

fof(f1501,plain,
    spl92_142,
    inference(avatar_split_clause,[],[f788,f1498]) ).

fof(f1498,plain,
    ( spl92_142
  <=> n17 = sum(n7,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_142])]) ).

fof(f788,plain,
    n17 = sum(n7,n10),
    inference(cnf_transformation,[],[f5]) ).

fof(f1496,plain,
    spl92_141,
    inference(avatar_split_clause,[],[f536,f1493]) ).

fof(f1493,plain,
    ( spl92_141
  <=> n17 = sum(n5,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_141])]) ).

fof(f536,plain,
    n17 = sum(n5,n12),
    inference(cnf_transformation,[],[f5]) ).

fof(f1491,plain,
    spl92_140,
    inference(avatar_split_clause,[],[f602,f1488]) ).

fof(f1488,plain,
    ( spl92_140
  <=> n1 = sum(n2,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_140])]) ).

fof(f602,plain,
    n1 = sum(n2,n20),
    inference(cnf_transformation,[],[f5]) ).

fof(f1486,plain,
    ~ spl92_139,
    inference(avatar_split_clause,[],[f168,f1483]) ).

fof(f1483,plain,
    ( spl92_139
  <=> n9 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_139])]) ).

fof(f168,plain,
    n9 != n17,
    inference(cnf_transformation,[],[f5]) ).

fof(f1481,plain,
    ~ spl92_138,
    inference(avatar_split_clause,[],[f91,f1478]) ).

fof(f1478,plain,
    ( spl92_138
  <=> n7 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_138])]) ).

fof(f91,plain,
    n7 != n18,
    inference(cnf_transformation,[],[f5]) ).

fof(f1476,plain,
    spl92_137,
    inference(avatar_split_clause,[],[f651,f1473]) ).

fof(f1473,plain,
    ( spl92_137
  <=> sum(pred(sK40),sum(succ(sK11),sum(pred(sK57),succ(sK80)))) = sK91 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_137])]) ).

fof(f651,plain,
    sum(pred(sK40),sum(succ(sK11),sum(pred(sK57),succ(sK80)))) = sK91,
    inference(cnf_transformation,[],[f5]) ).

fof(f1471,plain,
    spl92_136,
    inference(avatar_split_clause,[],[f349,f1468]) ).

fof(f1468,plain,
    ( spl92_136
  <=> pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK18))))))))))))))))))))) = sK9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_136])]) ).

fof(f349,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK18))))))))))))))))))))) = sK9,
    inference(cnf_transformation,[],[f5]) ).

fof(f1466,plain,
    spl92_135,
    inference(avatar_split_clause,[],[f352,f1463]) ).

fof(f1463,plain,
    ( spl92_135
  <=> n8 = sum(n18,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_135])]) ).

fof(f352,plain,
    n8 = sum(n18,n11),
    inference(cnf_transformation,[],[f5]) ).

fof(f1461,plain,
    spl92_134,
    inference(avatar_split_clause,[],[f717,f1458]) ).

fof(f1458,plain,
    ( spl92_134
  <=> n8 = sum(n1,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_134])]) ).

fof(f717,plain,
    n8 = sum(n1,n7),
    inference(cnf_transformation,[],[f5]) ).

fof(f1456,plain,
    spl92_133,
    inference(avatar_split_clause,[],[f110,f1453]) ).

fof(f1453,plain,
    ( spl92_133
  <=> n11 = sum(n5,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_133])]) ).

fof(f110,plain,
    n11 = sum(n5,n6),
    inference(cnf_transformation,[],[f5]) ).

fof(f1451,plain,
    spl92_132,
    inference(avatar_split_clause,[],[f448,f1448]) ).

fof(f1448,plain,
    ( spl92_132
  <=> n14 = sum(n0,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_132])]) ).

fof(f448,plain,
    n14 = sum(n0,n14),
    inference(cnf_transformation,[],[f5]) ).

fof(f1446,plain,
    spl92_131,
    inference(avatar_split_clause,[],[f279,f1443]) ).

fof(f1443,plain,
    ( spl92_131
  <=> n14 = sum(n14,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_131])]) ).

fof(f279,plain,
    n14 = sum(n14,n0),
    inference(cnf_transformation,[],[f5]) ).

fof(f1441,plain,
    spl92_130,
    inference(avatar_split_clause,[],[f470,f1438]) ).

fof(f1438,plain,
    ( spl92_130
  <=> n1 = sum(n13,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_130])]) ).

fof(f470,plain,
    n1 = sum(n13,n9),
    inference(cnf_transformation,[],[f5]) ).

fof(f1436,plain,
    spl92_129,
    inference(avatar_split_clause,[],[f539,f1433]) ).

fof(f1433,plain,
    ( spl92_129
  <=> n8 = sum(n9,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_129])]) ).

fof(f539,plain,
    n8 = sum(n9,n20),
    inference(cnf_transformation,[],[f5]) ).

fof(f1431,plain,
    spl92_128,
    inference(avatar_split_clause,[],[f641,f1428]) ).

fof(f1428,plain,
    ( spl92_128
  <=> n1 = sum(n15,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_128])]) ).

fof(f641,plain,
    n1 = sum(n15,n7),
    inference(cnf_transformation,[],[f5]) ).

fof(f1426,plain,
    spl92_127,
    inference(avatar_split_clause,[],[f746,f1423]) ).

fof(f1423,plain,
    ( spl92_127
  <=> succ(n10) = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_127])]) ).

fof(f746,plain,
    succ(n10) = n11,
    inference(cnf_transformation,[],[f5]) ).

fof(f1421,plain,
    spl92_126,
    inference(avatar_split_clause,[],[f53,f1418]) ).

fof(f1418,plain,
    ( spl92_126
  <=> n9 = sum(n11,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_126])]) ).

fof(f53,plain,
    n9 = sum(n11,n19),
    inference(cnf_transformation,[],[f5]) ).

fof(f1416,plain,
    spl92_125,
    inference(avatar_split_clause,[],[f293,f1413]) ).

fof(f1413,plain,
    ( spl92_125
  <=> n20 = sum(n10,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_125])]) ).

fof(f293,plain,
    n20 = sum(n10,n10),
    inference(cnf_transformation,[],[f5]) ).

fof(f1411,plain,
    spl92_124,
    inference(avatar_split_clause,[],[f632,f1408]) ).

fof(f1408,plain,
    ( spl92_124
  <=> pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK1))))))))))))))))))))) = sK63 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_124])]) ).

fof(f632,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK1))))))))))))))))))))) = sK63,
    inference(cnf_transformation,[],[f5]) ).

fof(f1406,plain,
    ~ spl92_123,
    inference(avatar_split_clause,[],[f734,f1403]) ).

fof(f1403,plain,
    ( spl92_123
  <=> n9 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_123])]) ).

fof(f734,plain,
    n9 != n13,
    inference(cnf_transformation,[],[f5]) ).

fof(f1401,plain,
    spl92_122,
    inference(avatar_split_clause,[],[f662,f1398]) ).

fof(f1398,plain,
    ( spl92_122
  <=> n10 = sum(n16,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_122])]) ).

fof(f662,plain,
    n10 = sum(n16,n15),
    inference(cnf_transformation,[],[f5]) ).

fof(f1396,plain,
    spl92_121,
    inference(avatar_split_clause,[],[f724,f1393]) ).

fof(f1393,plain,
    ( spl92_121
  <=> n13 = sum(n6,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_121])]) ).

fof(f724,plain,
    n13 = sum(n6,n7),
    inference(cnf_transformation,[],[f5]) ).

fof(f1391,plain,
    spl92_120,
    inference(avatar_split_clause,[],[f585,f1388]) ).

fof(f1388,plain,
    ( spl92_120
  <=> n3 = sum(n13,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_120])]) ).

fof(f585,plain,
    n3 = sum(n13,n11),
    inference(cnf_transformation,[],[f5]) ).

fof(f1386,plain,
    spl92_119,
    inference(avatar_split_clause,[],[f601,f1383]) ).

fof(f1383,plain,
    ( spl92_119
  <=> n9 = sum(n8,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_119])]) ).

fof(f601,plain,
    n9 = sum(n8,n1),
    inference(cnf_transformation,[],[f5]) ).

fof(f1381,plain,
    spl92_118,
    inference(avatar_split_clause,[],[f549,f1378]) ).

fof(f1378,plain,
    ( spl92_118
  <=> n18 = sum(n0,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_118])]) ).

fof(f549,plain,
    n18 = sum(n0,n18),
    inference(cnf_transformation,[],[f5]) ).

fof(f1376,plain,
    ~ spl92_117,
    inference(avatar_split_clause,[],[f107,f1373]) ).

fof(f1373,plain,
    ( spl92_117
  <=> n5 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_117])]) ).

fof(f107,plain,
    n5 != n16,
    inference(cnf_transformation,[],[f5]) ).

fof(f1371,plain,
    spl92_116,
    inference(avatar_split_clause,[],[f21,f1368]) ).

fof(f1368,plain,
    ( spl92_116
  <=> n1 = sum(n1,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_116])]) ).

fof(f21,plain,
    n1 = sum(n1,n0),
    inference(cnf_transformation,[],[f5]) ).

fof(f1366,plain,
    ~ spl92_115,
    inference(avatar_split_clause,[],[f127,f1363]) ).

fof(f1363,plain,
    ( spl92_115
  <=> n13 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_115])]) ).

fof(f127,plain,
    n13 != n17,
    inference(cnf_transformation,[],[f5]) ).

fof(f1361,plain,
    spl92_114,
    inference(avatar_split_clause,[],[f458,f1358]) ).

fof(f1358,plain,
    ( spl92_114
  <=> n15 = sum(n5,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_114])]) ).

fof(f458,plain,
    n15 = sum(n5,n10),
    inference(cnf_transformation,[],[f5]) ).

fof(f1356,plain,
    ~ spl92_113,
    inference(avatar_split_clause,[],[f290,f1353]) ).

fof(f1353,plain,
    ( spl92_113
  <=> n2 = n17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_113])]) ).

fof(f290,plain,
    n2 != n17,
    inference(cnf_transformation,[],[f5]) ).

fof(f1351,plain,
    spl92_112,
    inference(avatar_split_clause,[],[f156,f1348]) ).

fof(f1348,plain,
    ( spl92_112
  <=> n7 = sum(n3,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_112])]) ).

fof(f156,plain,
    n7 = sum(n3,n4),
    inference(cnf_transformation,[],[f5]) ).

fof(f1346,plain,
    spl92_111,
    inference(avatar_split_clause,[],[f633,f1343]) ).

fof(f1343,plain,
    ( spl92_111
  <=> sum(sum(pred(sK67),succ(sK13)),sum(pred(sK13),succ(sK67))) = sK20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_111])]) ).

fof(f633,plain,
    sum(sum(pred(sK67),succ(sK13)),sum(pred(sK13),succ(sK67))) = sK20,
    inference(cnf_transformation,[],[f5]) ).

fof(f1341,plain,
    ~ spl92_110,
    inference(avatar_split_clause,[],[f596,f1338]) ).

fof(f1338,plain,
    ( spl92_110
  <=> n8 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_110])]) ).

fof(f596,plain,
    n8 != n18,
    inference(cnf_transformation,[],[f5]) ).

fof(f1336,plain,
    spl92_109,
    inference(avatar_split_clause,[],[f225,f1333]) ).

fof(f1333,plain,
    ( spl92_109
  <=> n16 = sum(n5,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_109])]) ).

fof(f225,plain,
    n16 = sum(n5,n11),
    inference(cnf_transformation,[],[f5]) ).

fof(f1331,plain,
    spl92_108,
    inference(avatar_split_clause,[],[f755,f1328]) ).

fof(f1328,plain,
    ( spl92_108
  <=> sK37 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK84))))))))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_108])]) ).

fof(f755,plain,
    sK37 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK84))))))))))))))))))))),
    inference(cnf_transformation,[],[f5]) ).

fof(f1326,plain,
    spl92_107,
    inference(avatar_split_clause,[],[f143,f1323]) ).

fof(f1323,plain,
    ( spl92_107
  <=> n7 = pred(n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_107])]) ).

fof(f143,plain,
    n7 = pred(n8),
    inference(cnf_transformation,[],[f5]) ).

fof(f1321,plain,
    ~ spl92_106,
    inference(avatar_split_clause,[],[f272,f1318]) ).

fof(f1318,plain,
    ( spl92_106
  <=> n6 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_106])]) ).

fof(f272,plain,
    n6 != n14,
    inference(cnf_transformation,[],[f5]) ).

fof(f1316,plain,
    spl92_105,
    inference(avatar_split_clause,[],[f789,f1313]) ).

fof(f1313,plain,
    ( spl92_105
  <=> n19 = pred(n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_105])]) ).

fof(f789,plain,
    n19 = pred(n20),
    inference(cnf_transformation,[],[f5]) ).

fof(f1311,plain,
    ~ spl92_104,
    inference(avatar_split_clause,[],[f688,f1308]) ).

fof(f1308,plain,
    ( spl92_104
  <=> n14 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_104])]) ).

fof(f688,plain,
    n14 != n15,
    inference(cnf_transformation,[],[f5]) ).

fof(f1306,plain,
    spl92_103,
    inference(avatar_split_clause,[],[f418,f1303]) ).

fof(f1303,plain,
    ( spl92_103
  <=> sK52 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK35))))))))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_103])]) ).

fof(f418,plain,
    sK52 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK35))))))))))))))))))))),
    inference(cnf_transformation,[],[f5]) ).

fof(f1301,plain,
    spl92_102,
    inference(avatar_split_clause,[],[f575,f1298]) ).

fof(f1298,plain,
    ( spl92_102
  <=> n18 = sum(n20,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_102])]) ).

fof(f575,plain,
    n18 = sum(n20,n19),
    inference(cnf_transformation,[],[f5]) ).

fof(f1296,plain,
    spl92_101,
    inference(avatar_split_clause,[],[f781,f1293]) ).

fof(f1293,plain,
    ( spl92_101
  <=> n16 = sum(n0,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_101])]) ).

fof(f781,plain,
    n16 = sum(n0,n16),
    inference(cnf_transformation,[],[f5]) ).

fof(f1291,plain,
    spl92_100,
    inference(avatar_split_clause,[],[f531,f1288]) ).

fof(f1288,plain,
    ( spl92_100
  <=> n20 = sum(n15,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_100])]) ).

fof(f531,plain,
    n20 = sum(n15,n5),
    inference(cnf_transformation,[],[f5]) ).

fof(f1286,plain,
    spl92_99,
    inference(avatar_split_clause,[],[f526,f1283]) ).

fof(f1283,plain,
    ( spl92_99
  <=> n5 = sum(n18,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_99])]) ).

fof(f526,plain,
    n5 = sum(n18,n8),
    inference(cnf_transformation,[],[f5]) ).

fof(f1281,plain,
    spl92_98,
    inference(avatar_split_clause,[],[f675,f1278]) ).

fof(f1278,plain,
    ( spl92_98
  <=> n4 = sum(n13,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_98])]) ).

fof(f675,plain,
    n4 = sum(n13,n12),
    inference(cnf_transformation,[],[f5]) ).

fof(f1276,plain,
    spl92_97,
    inference(avatar_split_clause,[],[f637,f1273]) ).

fof(f1273,plain,
    ( spl92_97
  <=> n9 = sum(n18,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_97])]) ).

fof(f637,plain,
    n9 = sum(n18,n12),
    inference(cnf_transformation,[],[f5]) ).

fof(f1271,plain,
    spl92_96,
    inference(avatar_split_clause,[],[f50,f1268]) ).

fof(f1268,plain,
    ( spl92_96
  <=> n19 = sum(n1,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_96])]) ).

fof(f50,plain,
    n19 = sum(n1,n18),
    inference(cnf_transformation,[],[f5]) ).

fof(f1266,plain,
    ~ spl92_95,
    inference(avatar_split_clause,[],[f319,f1263]) ).

fof(f1263,plain,
    ( spl92_95
  <=> n12 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_95])]) ).

fof(f319,plain,
    n12 != n18,
    inference(cnf_transformation,[],[f5]) ).

fof(f1261,plain,
    spl92_94,
    inference(avatar_split_clause,[],[f767,f1258]) ).

fof(f1258,plain,
    ( spl92_94
  <=> n17 = sum(n14,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_94])]) ).

fof(f767,plain,
    n17 = sum(n14,n3),
    inference(cnf_transformation,[],[f5]) ).

fof(f1256,plain,
    spl92_93,
    inference(avatar_split_clause,[],[f672,f1253]) ).

fof(f1253,plain,
    ( spl92_93
  <=> sK72 = sum(sum(pred(sK18),succ(sK25)),sum(pred(sK25),succ(sK18))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_93])]) ).

fof(f672,plain,
    sK72 = sum(sum(pred(sK18),succ(sK25)),sum(pred(sK25),succ(sK18))),
    inference(cnf_transformation,[],[f5]) ).

fof(f1251,plain,
    spl92_92,
    inference(avatar_split_clause,[],[f469,f1248]) ).

fof(f1248,plain,
    ( spl92_92
  <=> sum(sum(pred(sK35),succ(sK21)),sum(pred(sK21),succ(sK35))) = sK56 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_92])]) ).

fof(f469,plain,
    sum(sum(pred(sK35),succ(sK21)),sum(pred(sK21),succ(sK35))) = sK56,
    inference(cnf_transformation,[],[f5]) ).

fof(f1246,plain,
    spl92_91,
    inference(avatar_split_clause,[],[f762,f1243]) ).

fof(f1243,plain,
    ( spl92_91
  <=> succ(n12) = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_91])]) ).

fof(f762,plain,
    succ(n12) = n13,
    inference(cnf_transformation,[],[f5]) ).

fof(f1241,plain,
    spl92_90,
    inference(avatar_split_clause,[],[f694,f1238]) ).

fof(f1238,plain,
    ( spl92_90
  <=> sum(pred(sK52),sum(succ(sK23),sum(pred(sK41),succ(sK69)))) = sK85 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_90])]) ).

fof(f694,plain,
    sum(pred(sK52),sum(succ(sK23),sum(pred(sK41),succ(sK69)))) = sK85,
    inference(cnf_transformation,[],[f5]) ).

fof(f1236,plain,
    spl92_89,
    inference(avatar_split_clause,[],[f106,f1233]) ).

fof(f1233,plain,
    ( spl92_89
  <=> n0 = sum(n9,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_89])]) ).

fof(f106,plain,
    n0 = sum(n9,n12),
    inference(cnf_transformation,[],[f5]) ).

fof(f1231,plain,
    spl92_88,
    inference(avatar_split_clause,[],[f36,f1228]) ).

fof(f1228,plain,
    ( spl92_88
  <=> n1 = sum(n0,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_88])]) ).

fof(f36,plain,
    n1 = sum(n0,n1),
    inference(cnf_transformation,[],[f5]) ).

fof(f1226,plain,
    spl92_87,
    inference(avatar_split_clause,[],[f685,f1223]) ).

fof(f1223,plain,
    ( spl92_87
  <=> n10 = sum(n10,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_87])]) ).

fof(f685,plain,
    n10 = sum(n10,n0),
    inference(cnf_transformation,[],[f5]) ).

fof(f1221,plain,
    ~ spl92_86,
    inference(avatar_split_clause,[],[f606,f1218]) ).

fof(f1218,plain,
    ( spl92_86
  <=> n5 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_86])]) ).

fof(f606,plain,
    n5 != n11,
    inference(cnf_transformation,[],[f5]) ).

fof(f1216,plain,
    spl92_85,
    inference(avatar_split_clause,[],[f597,f1213]) ).

fof(f1213,plain,
    ( spl92_85
  <=> n3 = sum(n17,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_85])]) ).

fof(f597,plain,
    n3 = sum(n17,n7),
    inference(cnf_transformation,[],[f5]) ).

fof(f1211,plain,
    ~ spl92_84,
    inference(avatar_split_clause,[],[f707,f1208]) ).

fof(f1208,plain,
    ( spl92_84
  <=> n7 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_84])]) ).

fof(f707,plain,
    n7 != n20,
    inference(cnf_transformation,[],[f5]) ).

fof(f1206,plain,
    ~ spl92_83,
    inference(avatar_split_clause,[],[f33,f1203]) ).

fof(f1203,plain,
    ( spl92_83
  <=> n2 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_83])]) ).

fof(f33,plain,
    n2 != n13,
    inference(cnf_transformation,[],[f5]) ).

fof(f1201,plain,
    spl92_82,
    inference(avatar_split_clause,[],[f330,f1198]) ).

fof(f1198,plain,
    ( spl92_82
  <=> n15 = sum(n9,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_82])]) ).

fof(f330,plain,
    n15 = sum(n9,n6),
    inference(cnf_transformation,[],[f5]) ).

fof(f1196,plain,
    ~ spl92_81,
    inference(avatar_split_clause,[],[f253,f1193]) ).

fof(f1193,plain,
    ( spl92_81
  <=> n12 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_81])]) ).

fof(f253,plain,
    n12 != n19,
    inference(cnf_transformation,[],[f5]) ).

fof(f1191,plain,
    spl92_80,
    inference(avatar_split_clause,[],[f137,f1188]) ).

fof(f1188,plain,
    ( spl92_80
  <=> n14 = sum(n20,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_80])]) ).

fof(f137,plain,
    n14 = sum(n20,n15),
    inference(cnf_transformation,[],[f5]) ).

fof(f1186,plain,
    ~ spl92_79,
    inference(avatar_split_clause,[],[f558,f1183]) ).

fof(f1183,plain,
    ( spl92_79
  <=> n3 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_79])]) ).

fof(f558,plain,
    n3 != n16,
    inference(cnf_transformation,[],[f5]) ).

fof(f1181,plain,
    ~ spl92_78,
    inference(avatar_split_clause,[],[f163,f1178]) ).

fof(f1178,plain,
    ( spl92_78
  <=> n13 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_78])]) ).

fof(f163,plain,
    n13 != n20,
    inference(cnf_transformation,[],[f5]) ).

fof(f1176,plain,
    spl92_77,
    inference(avatar_split_clause,[],[f586,f1173]) ).

fof(f1173,plain,
    ( spl92_77
  <=> n6 = sum(n2,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_77])]) ).

fof(f586,plain,
    n6 = sum(n2,n4),
    inference(cnf_transformation,[],[f5]) ).

fof(f1171,plain,
    spl92_76,
    inference(avatar_split_clause,[],[f178,f1168]) ).

fof(f1168,plain,
    ( spl92_76
  <=> n5 = sum(n9,n17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_76])]) ).

fof(f178,plain,
    n5 = sum(n9,n17),
    inference(cnf_transformation,[],[f5]) ).

fof(f1166,plain,
    spl92_75,
    inference(avatar_split_clause,[],[f390,f1163]) ).

fof(f1163,plain,
    ( spl92_75
  <=> n14 = sum(n5,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_75])]) ).

fof(f390,plain,
    n14 = sum(n5,n9),
    inference(cnf_transformation,[],[f5]) ).

fof(f1161,plain,
    spl92_74,
    inference(avatar_split_clause,[],[f426,f1158]) ).

fof(f1158,plain,
    ( spl92_74
  <=> n17 = sum(n12,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_74])]) ).

fof(f426,plain,
    n17 = sum(n12,n5),
    inference(cnf_transformation,[],[f5]) ).

fof(f1156,plain,
    spl92_73,
    inference(avatar_split_clause,[],[f275,f1153]) ).

fof(f1153,plain,
    ( spl92_73
  <=> n7 = sum(n10,n18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_73])]) ).

fof(f275,plain,
    n7 = sum(n10,n18),
    inference(cnf_transformation,[],[f5]) ).

fof(f1151,plain,
    spl92_72,
    inference(avatar_split_clause,[],[f249,f1148]) ).

fof(f1148,plain,
    ( spl92_72
  <=> n20 = pred(n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_72])]) ).

fof(f249,plain,
    n20 = pred(n0),
    inference(cnf_transformation,[],[f5]) ).

fof(f1146,plain,
    ~ spl92_71,
    inference(avatar_split_clause,[],[f334,f1143]) ).

fof(f1143,plain,
    ( spl92_71
  <=> n1 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_71])]) ).

fof(f334,plain,
    n1 != n20,
    inference(cnf_transformation,[],[f5]) ).

fof(f1141,plain,
    spl92_70,
    inference(avatar_split_clause,[],[f99,f1138]) ).

fof(f1138,plain,
    ( spl92_70
  <=> n8 = sum(n19,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_70])]) ).

fof(f99,plain,
    n8 = sum(n19,n10),
    inference(cnf_transformation,[],[f5]) ).

fof(f1136,plain,
    spl92_69,
    inference(avatar_split_clause,[],[f244,f1133]) ).

fof(f1133,plain,
    ( spl92_69
  <=> n14 = sum(n10,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_69])]) ).

fof(f244,plain,
    n14 = sum(n10,n4),
    inference(cnf_transformation,[],[f5]) ).

fof(f1131,plain,
    ~ spl92_68,
    inference(avatar_split_clause,[],[f430,f1128]) ).

fof(f1128,plain,
    ( spl92_68
  <=> n1 = n5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_68])]) ).

fof(f430,plain,
    n1 != n5,
    inference(cnf_transformation,[],[f5]) ).

fof(f1126,plain,
    spl92_67,
    inference(avatar_split_clause,[],[f709,f1123]) ).

fof(f1123,plain,
    ( spl92_67
  <=> sK41 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK21))))))))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_67])]) ).

fof(f709,plain,
    sK41 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK21))))))))))))))))))))),
    inference(cnf_transformation,[],[f5]) ).

fof(f1121,plain,
    ~ spl92_66,
    inference(avatar_split_clause,[],[f189,f1118]) ).

fof(f1118,plain,
    ( spl92_66
  <=> n6 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_66])]) ).

fof(f189,plain,
    n6 != n20,
    inference(cnf_transformation,[],[f5]) ).

fof(f1116,plain,
    spl92_65,
    inference(avatar_split_clause,[],[f170,f1113]) ).

fof(f1113,plain,
    ( spl92_65
  <=> n13 = sum(n15,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_65])]) ).

fof(f170,plain,
    n13 = sum(n15,n19),
    inference(cnf_transformation,[],[f5]) ).

fof(f1111,plain,
    spl92_64,
    inference(avatar_split_clause,[],[f254,f1108]) ).

fof(f1108,plain,
    ( spl92_64
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK18))))))))))))))))))))) = sK31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_64])]) ).

fof(f254,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK18))))))))))))))))))))) = sK31,
    inference(cnf_transformation,[],[f5]) ).

fof(f1106,plain,
    spl92_63,
    inference(avatar_split_clause,[],[f260,f1103]) ).

fof(f1103,plain,
    ( spl92_63
  <=> n3 = sum(n20,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_63])]) ).

fof(f260,plain,
    n3 = sum(n20,n4),
    inference(cnf_transformation,[],[f5]) ).

fof(f1101,plain,
    spl92_62,
    inference(avatar_split_clause,[],[f692,f1098]) ).

fof(f1098,plain,
    ( spl92_62
  <=> n9 = sum(n17,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_62])]) ).

fof(f692,plain,
    n9 = sum(n17,n13),
    inference(cnf_transformation,[],[f5]) ).

fof(f1096,plain,
    ~ spl92_61,
    inference(avatar_split_clause,[],[f325,f1093]) ).

fof(f1093,plain,
    ( spl92_61
  <=> n2 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_61])]) ).

fof(f325,plain,
    n2 != n16,
    inference(cnf_transformation,[],[f5]) ).

fof(f1091,plain,
    spl92_60,
    inference(avatar_split_clause,[],[f509,f1088]) ).

fof(f1088,plain,
    ( spl92_60
  <=> n16 = sum(n1,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_60])]) ).

fof(f509,plain,
    n16 = sum(n1,n15),
    inference(cnf_transformation,[],[f5]) ).

fof(f1086,plain,
    spl92_59,
    inference(avatar_split_clause,[],[f258,f1083]) ).

fof(f1083,plain,
    ( spl92_59
  <=> sK10 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK84))))))))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_59])]) ).

fof(f258,plain,
    sK10 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK84))))))))))))))))))))),
    inference(cnf_transformation,[],[f5]) ).

fof(f1081,plain,
    spl92_58,
    inference(avatar_split_clause,[],[f44,f1078]) ).

fof(f1078,plain,
    ( spl92_58
  <=> n13 = sum(n4,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_58])]) ).

fof(f44,plain,
    n13 = sum(n4,n9),
    inference(cnf_transformation,[],[f5]) ).

fof(f1076,plain,
    ~ spl92_57,
    inference(avatar_split_clause,[],[f250,f1073]) ).

fof(f1073,plain,
    ( spl92_57
  <=> n9 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_57])]) ).

fof(f250,plain,
    n9 != n12,
    inference(cnf_transformation,[],[f5]) ).

fof(f1071,plain,
    ~ spl92_56,
    inference(avatar_split_clause,[],[f120,f1068]) ).

fof(f1068,plain,
    ( spl92_56
  <=> n2 = n4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_56])]) ).

fof(f120,plain,
    n2 != n4,
    inference(cnf_transformation,[],[f5]) ).

fof(f1066,plain,
    ~ spl92_55,
    inference(avatar_split_clause,[],[f576,f1063]) ).

fof(f1063,plain,
    ( spl92_55
  <=> n2 = n6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_55])]) ).

fof(f576,plain,
    n2 != n6,
    inference(cnf_transformation,[],[f5]) ).

fof(f1061,plain,
    spl92_54,
    inference(avatar_split_clause,[],[f100,f1058]) ).

fof(f1058,plain,
    ( spl92_54
  <=> n18 = sum(n15,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_54])]) ).

fof(f100,plain,
    n18 = sum(n15,n3),
    inference(cnf_transformation,[],[f5]) ).

fof(f1056,plain,
    ~ spl92_53,
    inference(avatar_split_clause,[],[f161,f1053]) ).

fof(f1053,plain,
    ( spl92_53
  <=> n6 = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_53])]) ).

fof(f161,plain,
    n6 != n7,
    inference(cnf_transformation,[],[f5]) ).

fof(f1051,plain,
    spl92_52,
    inference(avatar_split_clause,[],[f240,f1048]) ).

fof(f1048,plain,
    ( spl92_52
  <=> n2 = sum(n9,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_52])]) ).

fof(f240,plain,
    n2 = sum(n9,n14),
    inference(cnf_transformation,[],[f5]) ).

fof(f1046,plain,
    ~ spl92_51,
    inference(avatar_split_clause,[],[f38,f1043]) ).

fof(f1043,plain,
    ( spl92_51
  <=> n4 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_51])]) ).

fof(f38,plain,
    n4 != n15,
    inference(cnf_transformation,[],[f5]) ).

fof(f1041,plain,
    ~ spl92_50,
    inference(avatar_split_clause,[],[f348,f1038]) ).

fof(f1038,plain,
    ( spl92_50
  <=> n8 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_50])]) ).

fof(f348,plain,
    n8 != n10,
    inference(cnf_transformation,[],[f5]) ).

fof(f1036,plain,
    spl92_49,
    inference(avatar_split_clause,[],[f167,f1033]) ).

fof(f1033,plain,
    ( spl92_49
  <=> n0 = sum(n16,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_49])]) ).

fof(f167,plain,
    n0 = sum(n16,n5),
    inference(cnf_transformation,[],[f5]) ).

fof(f1031,plain,
    spl92_48,
    inference(avatar_split_clause,[],[f493,f1028]) ).

fof(f1028,plain,
    ( spl92_48
  <=> n2 = sum(n20,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_48])]) ).

fof(f493,plain,
    n2 = sum(n20,n3),
    inference(cnf_transformation,[],[f5]) ).

fof(f1026,plain,
    spl92_47,
    inference(avatar_split_clause,[],[f463,f1023]) ).

fof(f1023,plain,
    ( spl92_47
  <=> n19 = sum(n17,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_47])]) ).

fof(f463,plain,
    n19 = sum(n17,n2),
    inference(cnf_transformation,[],[f5]) ).

fof(f1021,plain,
    spl92_46,
    inference(avatar_split_clause,[],[f105,f1018]) ).

fof(f1018,plain,
    ( spl92_46
  <=> n7 = sum(n16,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_46])]) ).

fof(f105,plain,
    n7 = sum(n16,n12),
    inference(cnf_transformation,[],[f5]) ).

fof(f1016,plain,
    spl92_45,
    inference(avatar_split_clause,[],[f524,f1013]) ).

fof(f1013,plain,
    ( spl92_45
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK14))))))))))))))))))))) = sK28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_45])]) ).

fof(f524,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK14))))))))))))))))))))) = sK28,
    inference(cnf_transformation,[],[f5]) ).

fof(f1011,plain,
    ~ spl92_44,
    inference(avatar_split_clause,[],[f280,f1008]) ).

fof(f1008,plain,
    ( spl92_44
  <=> n13 = n18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_44])]) ).

fof(f280,plain,
    n13 != n18,
    inference(cnf_transformation,[],[f5]) ).

fof(f1006,plain,
    spl92_43,
    inference(avatar_split_clause,[],[f604,f1003]) ).

fof(f1003,plain,
    ( spl92_43
  <=> n16 = sum(n16,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_43])]) ).

fof(f604,plain,
    n16 = sum(n16,n0),
    inference(cnf_transformation,[],[f5]) ).

fof(f1001,plain,
    spl92_42,
    inference(avatar_split_clause,[],[f385,f998]) ).

fof(f998,plain,
    ( spl92_42
  <=> n12 = sum(n10,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_42])]) ).

fof(f385,plain,
    n12 = sum(n10,n2),
    inference(cnf_transformation,[],[f5]) ).

fof(f996,plain,
    spl92_41,
    inference(avatar_split_clause,[],[f478,f993]) ).

fof(f993,plain,
    ( spl92_41
  <=> pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK54))))))))))))))))))))) = sK12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_41])]) ).

fof(f478,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK54))))))))))))))))))))) = sK12,
    inference(cnf_transformation,[],[f5]) ).

fof(f991,plain,
    ~ spl92_40,
    inference(avatar_split_clause,[],[f117,f988]) ).

fof(f988,plain,
    ( spl92_40
  <=> n2 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_40])]) ).

fof(f117,plain,
    n2 != n8,
    inference(cnf_transformation,[],[f5]) ).

fof(f986,plain,
    ~ spl92_39,
    inference(avatar_split_clause,[],[f144,f983]) ).

fof(f983,plain,
    ( spl92_39
  <=> n7 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_39])]) ).

fof(f144,plain,
    n7 != n16,
    inference(cnf_transformation,[],[f5]) ).

fof(f981,plain,
    spl92_38,
    inference(avatar_split_clause,[],[f540,f978]) ).

fof(f978,plain,
    ( spl92_38
  <=> n11 = sum(n2,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_38])]) ).

fof(f540,plain,
    n11 = sum(n2,n9),
    inference(cnf_transformation,[],[f5]) ).

fof(f976,plain,
    spl92_37,
    inference(avatar_split_clause,[],[f590,f973]) ).

fof(f973,plain,
    ( spl92_37
  <=> succ(n5) = n6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_37])]) ).

fof(f590,plain,
    succ(n5) = n6,
    inference(cnf_transformation,[],[f5]) ).

fof(f971,plain,
    ~ spl92_36,
    inference(avatar_split_clause,[],[f65,f968]) ).

fof(f968,plain,
    ( spl92_36
  <=> n14 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_36])]) ).

fof(f65,plain,
    n14 != n16,
    inference(cnf_transformation,[],[f5]) ).

fof(f966,plain,
    spl92_35,
    inference(avatar_split_clause,[],[f555,f963]) ).

fof(f963,plain,
    ( spl92_35
  <=> n15 = pred(n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_35])]) ).

fof(f555,plain,
    n15 = pred(n16),
    inference(cnf_transformation,[],[f5]) ).

fof(f961,plain,
    spl92_34,
    inference(avatar_split_clause,[],[f220,f958]) ).

fof(f958,plain,
    ( spl92_34
  <=> n1 = sum(n7,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_34])]) ).

fof(f220,plain,
    n1 = sum(n7,n15),
    inference(cnf_transformation,[],[f5]) ).

fof(f956,plain,
    spl92_33,
    inference(avatar_split_clause,[],[f371,f953]) ).

fof(f953,plain,
    ( spl92_33
  <=> n3 = sum(n15,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_33])]) ).

fof(f371,plain,
    n3 = sum(n15,n9),
    inference(cnf_transformation,[],[f5]) ).

fof(f951,plain,
    spl92_32,
    inference(avatar_split_clause,[],[f416,f948]) ).

fof(f948,plain,
    ( spl92_32
  <=> n7 = sum(n12,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_32])]) ).

fof(f416,plain,
    n7 = sum(n12,n16),
    inference(cnf_transformation,[],[f5]) ).

fof(f946,plain,
    spl92_31,
    inference(avatar_split_clause,[],[f340,f943]) ).

fof(f943,plain,
    ( spl92_31
  <=> n18 = sum(n11,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_31])]) ).

fof(f340,plain,
    n18 = sum(n11,n7),
    inference(cnf_transformation,[],[f5]) ).

fof(f941,plain,
    spl92_30,
    inference(avatar_split_clause,[],[f196,f938]) ).

fof(f938,plain,
    ( spl92_30
  <=> n13 = sum(n13,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_30])]) ).

fof(f196,plain,
    n13 = sum(n13,n0),
    inference(cnf_transformation,[],[f5]) ).

fof(f936,plain,
    ~ spl92_29,
    inference(avatar_split_clause,[],[f141,f933]) ).

fof(f933,plain,
    ( spl92_29
  <=> n18 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_29])]) ).

fof(f141,plain,
    n18 != n19,
    inference(cnf_transformation,[],[f5]) ).

fof(f931,plain,
    ~ spl92_28,
    inference(avatar_split_clause,[],[f226,f928]) ).

fof(f928,plain,
    ( spl92_28
  <=> n11 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_28])]) ).

fof(f226,plain,
    n11 != n16,
    inference(cnf_transformation,[],[f5]) ).

fof(f926,plain,
    spl92_27,
    inference(avatar_split_clause,[],[f131,f923]) ).

fof(f923,plain,
    ( spl92_27
  <=> n5 = sum(n3,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_27])]) ).

fof(f131,plain,
    n5 = sum(n3,n2),
    inference(cnf_transformation,[],[f5]) ).

fof(f921,plain,
    ~ spl92_26,
    inference(avatar_split_clause,[],[f449,f918]) ).

fof(f918,plain,
    ( spl92_26
  <=> n1 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_26])]) ).

fof(f449,plain,
    n1 != n11,
    inference(cnf_transformation,[],[f5]) ).

fof(f916,plain,
    ~ spl92_25,
    inference(avatar_split_clause,[],[f256,f913]) ).

fof(f913,plain,
    ( spl92_25
  <=> n7 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_25])]) ).

fof(f256,plain,
    n7 != n8,
    inference(cnf_transformation,[],[f5]) ).

fof(f911,plain,
    spl92_24,
    inference(avatar_split_clause,[],[f301,f908]) ).

fof(f908,plain,
    ( spl92_24
  <=> n2 = sum(n3,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_24])]) ).

fof(f301,plain,
    n2 = sum(n3,n20),
    inference(cnf_transformation,[],[f5]) ).

fof(f906,plain,
    ~ spl92_23,
    inference(avatar_split_clause,[],[f711,f903]) ).

fof(f903,plain,
    ( spl92_23
  <=> n5 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_23])]) ).

fof(f711,plain,
    n5 != n20,
    inference(cnf_transformation,[],[f5]) ).

fof(f901,plain,
    ~ spl92_22,
    inference(avatar_split_clause,[],[f126,f898]) ).

fof(f898,plain,
    ( spl92_22
  <=> n17 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_22])]) ).

fof(f126,plain,
    n17 != n19,
    inference(cnf_transformation,[],[f5]) ).

fof(f896,plain,
    spl92_21,
    inference(avatar_split_clause,[],[f270,f893]) ).

fof(f893,plain,
    ( spl92_21
  <=> n17 = sum(n11,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_21])]) ).

fof(f270,plain,
    n17 = sum(n11,n6),
    inference(cnf_transformation,[],[f5]) ).

fof(f891,plain,
    ~ spl92_20,
    inference(avatar_split_clause,[],[f409,f888]) ).

fof(f888,plain,
    ( spl92_20
  <=> n12 = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_20])]) ).

fof(f409,plain,
    n12 != n20,
    inference(cnf_transformation,[],[f5]) ).

fof(f886,plain,
    spl92_19,
    inference(avatar_split_clause,[],[f655,f883]) ).

fof(f883,plain,
    ( spl92_19
  <=> n6 = sum(n16,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_19])]) ).

fof(f655,plain,
    n6 = sum(n16,n11),
    inference(cnf_transformation,[],[f5]) ).

fof(f881,plain,
    spl92_18,
    inference(avatar_split_clause,[],[f69,f878]) ).

fof(f878,plain,
    ( spl92_18
  <=> succ(n19) = n20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_18])]) ).

fof(f69,plain,
    succ(n19) = n20,
    inference(cnf_transformation,[],[f5]) ).

fof(f876,plain,
    spl92_17,
    inference(avatar_split_clause,[],[f479,f873]) ).

fof(f873,plain,
    ( spl92_17
  <=> n3 = sum(n16,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_17])]) ).

fof(f479,plain,
    n3 = sum(n16,n8),
    inference(cnf_transformation,[],[f5]) ).

fof(f871,plain,
    ~ spl92_16,
    inference(avatar_split_clause,[],[f12,f868]) ).

fof(f868,plain,
    ( spl92_16
  <=> n1 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_16])]) ).

fof(f12,plain,
    n1 != n9,
    inference(cnf_transformation,[],[f5]) ).

fof(f866,plain,
    spl92_15,
    inference(avatar_split_clause,[],[f726,f863]) ).

fof(f863,plain,
    ( spl92_15
  <=> n12 = sum(n8,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_15])]) ).

fof(f726,plain,
    n12 = sum(n8,n4),
    inference(cnf_transformation,[],[f5]) ).

fof(f861,plain,
    spl92_14,
    inference(avatar_split_clause,[],[f328,f858]) ).

fof(f858,plain,
    ( spl92_14
  <=> n8 = sum(n16,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_14])]) ).

fof(f328,plain,
    n8 = sum(n16,n13),
    inference(cnf_transformation,[],[f5]) ).

fof(f856,plain,
    spl92_13,
    inference(avatar_split_clause,[],[f89,f853]) ).

fof(f853,plain,
    ( spl92_13
  <=> n20 = sum(n9,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_13])]) ).

fof(f89,plain,
    n20 = sum(n9,n11),
    inference(cnf_transformation,[],[f5]) ).

fof(f851,plain,
    spl92_12,
    inference(avatar_split_clause,[],[f583,f848]) ).

fof(f848,plain,
    ( spl92_12
  <=> n7 = sum(n9,n19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_12])]) ).

fof(f583,plain,
    n7 = sum(n9,n19),
    inference(cnf_transformation,[],[f5]) ).

fof(f846,plain,
    spl92_11,
    inference(avatar_split_clause,[],[f455,f843]) ).

fof(f843,plain,
    ( spl92_11
  <=> n1 = sum(n6,n16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_11])]) ).

fof(f455,plain,
    n1 = sum(n6,n16),
    inference(cnf_transformation,[],[f5]) ).

fof(f841,plain,
    spl92_10,
    inference(avatar_split_clause,[],[f542,f838]) ).

fof(f838,plain,
    ( spl92_10
  <=> n10 = sum(n2,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_10])]) ).

fof(f542,plain,
    n10 = sum(n2,n8),
    inference(cnf_transformation,[],[f5]) ).

fof(f836,plain,
    ~ spl92_9,
    inference(avatar_split_clause,[],[f626,f833]) ).

fof(f833,plain,
    ( spl92_9
  <=> n8 = n16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_9])]) ).

fof(f626,plain,
    n8 != n16,
    inference(cnf_transformation,[],[f5]) ).

fof(f831,plain,
    ~ spl92_8,
    inference(avatar_split_clause,[],[f354,f828]) ).

fof(f828,plain,
    ( spl92_8
  <=> n2 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_8])]) ).

fof(f354,plain,
    n2 != n12,
    inference(cnf_transformation,[],[f5]) ).

fof(f826,plain,
    spl92_7,
    inference(avatar_split_clause,[],[f376,f823]) ).

fof(f823,plain,
    ( spl92_7
  <=> n12 = sum(n13,n20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_7])]) ).

fof(f376,plain,
    n12 = sum(n13,n20),
    inference(cnf_transformation,[],[f5]) ).

fof(f821,plain,
    ~ spl92_6,
    inference(avatar_split_clause,[],[f453,f818]) ).

fof(f818,plain,
    ( spl92_6
  <=> n5 = n19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_6])]) ).

fof(f453,plain,
    n5 != n19,
    inference(cnf_transformation,[],[f5]) ).

fof(f816,plain,
    spl92_5,
    inference(avatar_split_clause,[],[f741,f813]) ).

fof(f813,plain,
    ( spl92_5
  <=> n18 = sum(n17,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_5])]) ).

fof(f741,plain,
    n18 = sum(n17,n1),
    inference(cnf_transformation,[],[f5]) ).

fof(f811,plain,
    spl92_4,
    inference(avatar_split_clause,[],[f612,f808]) ).

fof(f808,plain,
    ( spl92_4
  <=> pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK20))))))))))))))))))))) = sK90 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_4])]) ).

fof(f612,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK20))))))))))))))))))))) = sK90,
    inference(cnf_transformation,[],[f5]) ).

fof(f806,plain,
    spl92_3,
    inference(avatar_split_clause,[],[f636,f803]) ).

fof(f803,plain,
    ( spl92_3
  <=> sum(pred(sK75),sum(succ(sK7),sum(pred(sK48),succ(sK70)))) = sK25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_3])]) ).

fof(f636,plain,
    sum(pred(sK75),sum(succ(sK7),sum(pred(sK48),succ(sK70)))) = sK25,
    inference(cnf_transformation,[],[f5]) ).

fof(f801,plain,
    spl92_2,
    inference(avatar_split_clause,[],[f723,f798]) ).

fof(f798,plain,
    ( spl92_2
  <=> n10 = sum(n4,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_2])]) ).

fof(f723,plain,
    n10 = sum(n4,n6),
    inference(cnf_transformation,[],[f5]) ).

fof(f796,plain,
    ~ spl92_1,
    inference(avatar_split_clause,[],[f345,f793]) ).

fof(f793,plain,
    ( spl92_1
  <=> n3 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl92_1])]) ).

fof(f345,plain,
    n3 != n13,
    inference(cnf_transformation,[],[f5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : NUM378+1.020.015 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n021.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 06:24:26 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 1.02/0.59  % (10280)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)
% 1.02/0.60  % (10272)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)
% 1.02/0.60  % (10267)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.02/0.61  % (10279)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.02/0.62  % (10264)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)
% 1.68/0.66  % (10287)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)
% 1.68/0.67  % (10267)Instruction limit reached!
% 1.68/0.67  % (10267)------------------------------
% 1.68/0.67  % (10267)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.67  % (10262)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.68/0.67  % (10267)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.67  % (10267)Termination reason: Unknown
% 1.68/0.67  % (10267)Termination phase: Saturation
% 1.68/0.67  
% 1.68/0.67  % (10267)Memory used [KB]: 2558
% 1.68/0.67  % (10267)Time elapsed: 0.037 s
% 1.68/0.67  % (10267)Instructions burned: 51 (million)
% 1.68/0.67  % (10267)------------------------------
% 1.68/0.67  % (10267)------------------------------
% 1.68/0.67  % (10258)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)
% 1.68/0.68  % (10259)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.68/0.68  % (10284)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)
% 1.96/0.68  % (10261)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.96/0.68  % (10263)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)
% 1.96/0.68  % (10285)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)
% 1.96/0.69  % (10260)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.96/0.69  % (10270)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.96/0.70  % (10281)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)
% 1.96/0.70  % (10282)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.96/0.70  % (10286)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.96/0.70  % (10283)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.96/0.71  % (10273)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.96/0.71  % (10275)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.96/0.71  % (10274)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)
% 1.96/0.71  % (10277)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.96/0.71  % (10265)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.96/0.71  % (10278)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.96/0.71  % (10276)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.96/0.72  % (10266)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.96/0.72  % (10265)Instruction limit reached!
% 1.96/0.72  % (10265)------------------------------
% 1.96/0.72  % (10265)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.72  % (10266)Instruction limit reached!
% 1.96/0.72  % (10266)------------------------------
% 1.96/0.72  % (10266)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.72  % (10265)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.72  % (10265)Termination reason: Unknown
% 1.96/0.72  % (10265)Termination phase: Preprocessing 3
% 1.96/0.72  
% 1.96/0.72  % (10265)Memory used [KB]: 1791
% 1.96/0.72  % (10265)Time elapsed: 0.007 s
% 1.96/0.72  % (10265)Instructions burned: 7 (million)
% 1.96/0.72  % (10265)------------------------------
% 1.96/0.72  % (10265)------------------------------
% 1.96/0.72  % (10269)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)
% 1.96/0.72  % (10271)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.96/0.72  % (10268)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.96/0.72  % (10264)Instruction limit reached!
% 1.96/0.72  % (10264)------------------------------
% 1.96/0.72  % (10264)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.72  % (10264)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.72  % (10264)Termination reason: Unknown
% 1.96/0.72  % (10264)Termination phase: Finite model building preprocessing
% 1.96/0.72  
% 1.96/0.72  % (10264)Memory used [KB]: 3582
% 1.96/0.72  % (10264)Time elapsed: 0.048 s
% 1.96/0.72  % (10264)Instructions burned: 52 (million)
% 1.96/0.72  % (10264)------------------------------
% 1.96/0.72  % (10264)------------------------------
% 1.96/0.72  % (10266)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.72  % (10266)Termination reason: Unknown
% 1.96/0.72  % (10266)Termination phase: Preprocessing 1
% 1.96/0.72  
% 1.96/0.72  % (10266)Memory used [KB]: 1407
% 1.96/0.72  % (10266)Time elapsed: 0.004 s
% 1.96/0.72  % (10266)Instructions burned: 3 (million)
% 1.96/0.72  % (10266)------------------------------
% 1.96/0.72  % (10266)------------------------------
% 2.43/0.75  % (10272)Instruction limit reached!
% 2.43/0.75  % (10272)------------------------------
% 2.43/0.75  % (10272)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.75  % (10272)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.43/0.75  % (10272)Termination reason: Unknown
% 2.43/0.75  % (10272)Termination phase: Saturation
% 2.43/0.75  
% 2.43/0.75  % (10272)Memory used [KB]: 8187
% 2.43/0.75  % (10272)Time elapsed: 0.069 s
% 2.43/0.75  % (10272)Instructions burned: 68 (million)
% 2.43/0.75  % (10272)------------------------------
% 2.43/0.75  % (10272)------------------------------
% 2.43/0.77  % (10260)Instruction limit reached!
% 2.43/0.77  % (10260)------------------------------
% 2.43/0.77  % (10260)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.77  % (10260)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.43/0.77  % (10260)Termination reason: Unknown
% 2.43/0.77  % (10260)Termination phase: Saturation
% 2.43/0.77  
% 2.43/0.77  % (10260)Memory used [KB]: 2174
% 2.43/0.77  % (10260)Time elapsed: 0.026 s
% 2.43/0.77  % (10260)Instructions burned: 37 (million)
% 2.43/0.77  % (10260)------------------------------
% 2.43/0.77  % (10260)------------------------------
% 2.43/0.77  % (10279)Instruction limit reached!
% 2.43/0.77  % (10279)------------------------------
% 2.43/0.77  % (10279)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.77  % (10279)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.43/0.77  % (10279)Termination reason: Unknown
% 2.43/0.77  % (10279)Termination phase: Saturation
% 2.43/0.77  
% 2.43/0.77  % (10279)Memory used [KB]: 7547
% 2.43/0.77  % (10279)Time elapsed: 0.133 s
% 2.43/0.77  % (10279)Instructions burned: 138 (million)
% 2.43/0.77  % (10279)------------------------------
% 2.43/0.77  % (10279)------------------------------
% 2.43/0.79  % (10259)Instruction limit reached!
% 2.43/0.79  % (10259)------------------------------
% 2.43/0.79  % (10259)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.79  % (10259)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.43/0.79  % (10259)Termination reason: Unknown
% 2.43/0.79  % (10259)Termination phase: Saturation
% 2.43/0.79  
% 2.43/0.79  % (10259)Memory used [KB]: 7164
% 2.43/0.79  % (10259)Time elapsed: 0.038 s
% 2.43/0.79  % (10259)Instructions burned: 51 (million)
% 2.43/0.79  % (10259)------------------------------
% 2.43/0.79  % (10259)------------------------------
% 2.43/0.79  % (10263)Instruction limit reached!
% 2.43/0.79  % (10263)------------------------------
% 2.43/0.79  % (10263)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.79  % (10263)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.43/0.79  % (10263)Termination reason: Unknown
% 2.43/0.79  % (10263)Termination phase: Saturation
% 2.43/0.79  
% 2.43/0.79  % (10263)Memory used [KB]: 7164
% 2.43/0.79  % (10263)Time elapsed: 0.274 s
% 2.43/0.79  % (10263)Instructions burned: 48 (million)
% 2.43/0.79  % (10263)------------------------------
% 2.43/0.79  % (10263)------------------------------
% 2.43/0.80  % (10261)Instruction limit reached!
% 2.43/0.80  % (10261)------------------------------
% 2.43/0.80  % (10261)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.80  % (10261)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.43/0.80  % (10261)Termination reason: Unknown
% 2.43/0.80  % (10261)Termination phase: Saturation
% 2.43/0.80  
% 2.43/0.80  % (10261)Memory used [KB]: 7036
% 2.43/0.80  % (10261)Time elapsed: 0.290 s
% 2.43/0.80  % (10261)Instructions burned: 51 (million)
% 2.43/0.80  % (10261)------------------------------
% 2.43/0.80  % (10261)------------------------------
% 2.43/0.81  % (10318)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 (2996ds/388Mi)
% 2.43/0.81  % (10262)Instruction limit reached!
% 2.43/0.81  % (10262)------------------------------
% 2.43/0.81  % (10262)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.81  % (10262)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.43/0.81  % (10262)Termination reason: Unknown
% 2.43/0.81  % (10262)Termination phase: Saturation
% 2.43/0.81  
% 2.43/0.81  % (10262)Memory used [KB]: 7164
% 2.43/0.81  % (10262)Time elapsed: 0.038 s
% 2.43/0.81  % (10262)Instructions burned: 52 (million)
% 2.43/0.81  % (10262)------------------------------
% 2.43/0.81  % (10262)------------------------------
% 2.90/0.82  % (10275)Instruction limit reached!
% 2.90/0.82  % (10275)------------------------------
% 2.90/0.82  % (10275)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.90/0.82  % (10275)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.90/0.82  % (10275)Termination reason: Unknown
% 2.90/0.82  % (10275)Termination phase: Finite model building preprocessing
% 2.90/0.82  
% 2.90/0.82  % (10275)Memory used [KB]: 4221
% 2.90/0.82  % (10275)Time elapsed: 0.040 s
% 2.90/0.82  % (10275)Instructions burned: 59 (million)
% 2.90/0.82  % (10275)------------------------------
% 2.90/0.82  % (10275)------------------------------
% 2.90/0.83  % (10268)Instruction limit reached!
% 2.90/0.83  % (10268)------------------------------
% 2.90/0.83  % (10268)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.90/0.83  % (10268)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.90/0.83  % (10268)Termination reason: Unknown
% 2.90/0.83  % (10268)Termination phase: Saturation
% 2.90/0.83  
% 2.90/0.83  % (10268)Memory used [KB]: 7164
% 2.90/0.83  % (10268)Time elapsed: 0.038 s
% 2.90/0.83  % (10268)Instructions burned: 51 (million)
% 2.90/0.83  % (10268)------------------------------
% 2.90/0.83  % (10268)------------------------------
% 3.13/0.88  % (10284)Instruction limit reached!
% 3.13/0.88  % (10284)------------------------------
% 3.13/0.88  % (10284)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.13/0.88  % (10284)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.13/0.88  % (10284)Termination reason: Unknown
% 3.13/0.88  % (10284)Termination phase: Saturation
% 3.13/0.88  
% 3.13/0.88  % (10284)Memory used [KB]: 8187
% 3.13/0.88  % (10284)Time elapsed: 0.050 s
% 3.13/0.88  % (10284)Instructions burned: 68 (million)
% 3.13/0.88  % (10284)------------------------------
% 3.13/0.88  % (10284)------------------------------
% 3.13/0.91  % (10329)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 (2995ds/655Mi)
% 3.13/0.92  % (10274)Instruction limit reached!
% 3.13/0.92  % (10274)------------------------------
% 3.13/0.92  % (10274)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.13/0.92  % (10274)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.13/0.92  % (10274)Termination reason: Unknown
% 3.13/0.92  % (10274)Termination phase: Saturation
% 3.13/0.92  
% 3.13/0.92  % (10274)Memory used [KB]: 7803
% 3.13/0.92  % (10274)Time elapsed: 0.398 s
% 3.13/0.92  % (10274)Instructions burned: 100 (million)
% 3.13/0.92  % (10274)------------------------------
% 3.13/0.92  % (10274)------------------------------
% 3.13/0.92  % (10320)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)
% 3.13/0.93  % (10273)Instruction limit reached!
% 3.13/0.93  % (10273)------------------------------
% 3.13/0.93  % (10273)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.13/0.93  % (10273)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.13/0.93  % (10273)Termination reason: Unknown
% 3.13/0.93  % (10273)Termination phase: Saturation
% 3.13/0.93  
% 3.13/0.93  % (10273)Memory used [KB]: 2942
% 3.13/0.93  % (10273)Time elapsed: 0.412 s
% 3.13/0.93  % (10273)Instructions burned: 75 (million)
% 3.13/0.93  % (10273)------------------------------
% 3.13/0.93  % (10273)------------------------------
% 3.13/0.93  % (10277)Instruction limit reached!
% 3.13/0.93  % (10277)------------------------------
% 3.13/0.93  % (10277)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.13/0.93  % (10277)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.13/0.93  % (10277)Termination reason: Unknown
% 3.13/0.93  % (10277)Termination phase: Saturation
% 3.13/0.93  
% 3.13/0.93  % (10277)Memory used [KB]: 2814
% 3.13/0.93  % (10277)Time elapsed: 0.430 s
% 3.13/0.93  % (10277)Instructions burned: 100 (million)
% 3.13/0.93  % (10277)------------------------------
% 3.13/0.93  % (10277)------------------------------
% 3.13/0.94  % (10325)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/934Mi)
% 3.13/0.94  % (10270)Instruction limit reached!
% 3.13/0.94  % (10270)------------------------------
% 3.13/0.94  % (10270)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.13/0.94  % (10276)Instruction limit reached!
% 3.13/0.94  % (10276)------------------------------
% 3.13/0.94  % (10276)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.13/0.94  % (10270)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.13/0.94  % (10270)Termination reason: Unknown
% 3.13/0.94  % (10276)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.13/0.94  % (10270)Termination phase: Saturation
% 3.13/0.94  % (10276)Termination reason: Unknown
% 3.13/0.94  
% 3.13/0.94  % (10276)Termination phase: Saturation
% 3.13/0.94  
% 3.13/0.94  % (10270)Memory used [KB]: 7675
% 3.13/0.94  % (10276)Memory used [KB]: 7419
% 3.13/0.94  % (10270)Time elapsed: 0.442 s
% 3.13/0.94  % (10270)Instructions burned: 101 (million)
% 3.13/0.94  % (10276)Time elapsed: 0.070 s
% 3.13/0.94  % (10276)Instructions burned: 100 (million)
% 3.13/0.94  % (10270)------------------------------
% 3.13/0.94  % (10270)------------------------------
% 3.13/0.94  % (10276)------------------------------
% 3.13/0.94  % (10276)------------------------------
% 3.13/0.94  % (10269)Instruction limit reached!
% 3.13/0.94  % (10269)------------------------------
% 3.13/0.94  % (10269)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.13/0.94  % (10269)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.13/0.94  % (10269)Termination reason: Unknown
% 3.13/0.94  % (10269)Termination phase: Saturation
% 3.13/0.94  
% 3.13/0.94  % (10269)Memory used [KB]: 7547
% 3.13/0.94  % (10269)Time elapsed: 0.433 s
% 3.13/0.94  % (10269)Instructions burned: 102 (million)
% 3.13/0.94  % (10269)------------------------------
% 3.13/0.94  % (10269)------------------------------
% 3.52/0.98  % (10271)Instruction limit reached!
% 3.52/0.98  % (10271)------------------------------
% 3.52/0.98  % (10271)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.52/0.98  % (10271)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.52/0.98  % (10271)Termination reason: Unknown
% 3.52/0.98  % (10271)Termination phase: Saturation
% 3.52/0.98  
% 3.52/0.98  % (10271)Memory used [KB]: 7547
% 3.52/0.98  % (10271)Time elapsed: 0.469 s
% 3.52/0.98  % (10271)Instructions burned: 100 (million)
% 3.52/0.98  % (10271)------------------------------
% 3.52/0.98  % (10271)------------------------------
% 3.61/1.01  % (10319)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 (2996ds/211Mi)
% 3.61/1.01  % (10327)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 (2995ds/747Mi)
% 3.74/1.03  % (10338)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 (2995ds/940Mi)
% 3.74/1.04  % (10324)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/920Mi)
% 3.74/1.05  % (10346)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 (2995ds/90Mi)
% 3.74/1.06  % (10348)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 (2995ds/2016Mi)
% 4.91/1.07  % (10350)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/3735Mi)
% 4.91/1.08  % (10337)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)
% 4.91/1.08  % (10320)Instruction limit reached!
% 4.91/1.08  % (10320)------------------------------
% 4.91/1.08  % (10320)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.91/1.08  % (10320)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.91/1.08  % (10320)Termination reason: Unknown
% 4.91/1.08  % (10320)Termination phase: Saturation
% 4.91/1.08  
% 4.91/1.08  % (10320)Memory used [KB]: 7803
% 4.91/1.08  % (10320)Time elapsed: 0.290 s
% 4.91/1.08  % (10320)Instructions burned: 90 (million)
% 4.91/1.08  % (10320)------------------------------
% 4.91/1.08  % (10320)------------------------------
% 4.91/1.09  % (10285)Instruction limit reached!
% 4.91/1.09  % (10285)------------------------------
% 4.91/1.09  % (10285)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.91/1.09  % (10285)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.91/1.09  % (10285)Termination reason: Unknown
% 4.91/1.09  % (10285)Termination phase: Saturation
% 4.91/1.09  
% 4.91/1.09  % (10285)Memory used [KB]: 3198
% 4.91/1.09  % (10285)Time elapsed: 0.545 s
% 4.91/1.09  % (10285)Instructions burned: 178 (million)
% 4.91/1.09  % (10285)------------------------------
% 4.91/1.09  % (10285)------------------------------
% 4.91/1.10  % (10357)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4959Mi)
% 4.91/1.12  WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 4.91/1.12  % (10344)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 (2995ds/981Mi)
% 5.57/1.15  % (10361)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 (2994ds/4931Mi)
% 5.57/1.15  % (10362)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 (2994ds/68Mi)
% 5.57/1.15  % (10356)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 (2994ds/4958Mi)
% 5.57/1.16  % (10278)Instruction limit reached!
% 5.57/1.16  % (10278)------------------------------
% 5.57/1.16  % (10278)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.57/1.16  % (10278)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.57/1.16  % (10278)Termination reason: Unknown
% 5.57/1.16  % (10278)Termination phase: Saturation
% 5.57/1.16  
% 5.57/1.16  % (10278)Memory used [KB]: 8059
% 5.57/1.16  % (10278)Time elapsed: 0.121 s
% 5.57/1.16  % (10278)Instructions burned: 177 (million)
% 5.57/1.16  % (10278)------------------------------
% 5.57/1.16  % (10278)------------------------------
% 5.92/1.22  % (10360)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4756Mi)
% 5.92/1.22  % (10346)Instruction limit reached!
% 5.92/1.22  % (10346)------------------------------
% 5.92/1.22  % (10346)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.92/1.22  % (10346)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.92/1.22  % (10346)Termination reason: Unknown
% 5.92/1.22  % (10346)Termination phase: Saturation
% 5.92/1.22  
% 5.92/1.22  % (10346)Memory used [KB]: 7803
% 5.92/1.22  % (10346)Time elapsed: 0.348 s
% 5.92/1.22  % (10346)Instructions burned: 90 (million)
% 5.92/1.22  % (10346)------------------------------
% 5.92/1.22  % (10346)------------------------------
% 5.92/1.23  % (10363)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 (2994ds/1824Mi)
% 5.92/1.24  % (10287)Instruction limit reached!
% 5.92/1.24  % (10287)------------------------------
% 5.92/1.24  % (10287)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.92/1.24  % (10287)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.92/1.24  % (10287)Termination reason: Unknown
% 5.92/1.24  % (10287)Termination phase: Saturation
% 5.92/1.24  
% 5.92/1.24  % (10287)Memory used [KB]: 9083
% 5.92/1.24  % (10287)Time elapsed: 0.216 s
% 5.92/1.24  % (10287)Instructions burned: 356 (million)
% 5.92/1.24  % (10287)------------------------------
% 5.92/1.24  % (10287)------------------------------
% 5.92/1.25  % (10364)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 (2994ds/2134Mi)
% 6.31/1.25  % (10362)Instruction limit reached!
% 6.31/1.25  % (10362)------------------------------
% 6.31/1.25  % (10362)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.31/1.25  % (10362)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.31/1.25  % (10362)Termination reason: Unknown
% 6.31/1.25  % (10362)Termination phase: Saturation
% 6.31/1.25  
% 6.31/1.25  % (10362)Memory used [KB]: 8187
% 6.31/1.25  % (10362)Time elapsed: 0.048 s
% 6.31/1.25  % (10362)Instructions burned: 69 (million)
% 6.31/1.25  % (10362)------------------------------
% 6.31/1.25  % (10362)------------------------------
% 6.36/1.25  % (10369)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/2891Mi)
% 6.36/1.26  % (10337)Instruction limit reached!
% 6.36/1.26  % (10337)------------------------------
% 6.36/1.26  % (10337)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.36/1.26  % (10337)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.36/1.26  % (10337)Termination reason: Unknown
% 6.36/1.26  % (10337)Termination phase: Saturation
% 6.36/1.26  
% 6.36/1.26  % (10337)Memory used [KB]: 8187
% 6.36/1.26  % (10337)Time elapsed: 0.049 s
% 6.36/1.26  % (10337)Instructions burned: 68 (million)
% 6.36/1.26  % (10337)------------------------------
% 6.36/1.26  % (10337)------------------------------
% 6.36/1.29  % (10318)Instruction limit reached!
% 6.36/1.29  % (10318)------------------------------
% 6.36/1.29  % (10318)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.36/1.29  % (10318)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.36/1.29  % (10318)Termination reason: Unknown
% 6.36/1.29  % (10318)Termination phase: Saturation
% 6.36/1.29  
% 6.36/1.29  % (10318)Memory used [KB]: 9083
% 6.36/1.29  % (10318)Time elapsed: 0.498 s
% 6.36/1.29  % (10318)Instructions burned: 389 (million)
% 6.36/1.29  % (10318)------------------------------
% 6.36/1.29  % (10318)------------------------------
% 6.36/1.29  % (10385)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/4585Mi)
% 6.74/1.34  TRYING [21]
% 7.00/1.41  % (10394)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 (2991ds/2016Mi)
% 7.00/1.42  % (10409)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 (2990ds/1824Mi)
% 7.00/1.42  % (10386)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 (2992ds/90Mi)
% 7.51/1.45  % (10401)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 (2991ds/9965Mi)
% 7.51/1.47  % (10319)Instruction limit reached!
% 7.51/1.47  % (10319)------------------------------
% 7.51/1.47  % (10319)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.51/1.47  % (10319)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.51/1.47  % (10319)Termination reason: Unknown
% 7.51/1.47  % (10319)Termination phase: Saturation
% 7.51/1.47  
% 7.51/1.47  % (10319)Memory used [KB]: 3198
% 7.51/1.47  % (10319)Time elapsed: 0.639 s
% 7.51/1.47  % (10319)Instructions burned: 213 (million)
% 7.51/1.47  % (10319)------------------------------
% 7.51/1.47  % (10319)------------------------------
% 7.82/1.52  % (10404)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 (2990ds/9902Mi)
% 7.82/1.52  % (10402)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/9877Mi)
% 8.19/1.58  % (10397)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/8004Mi)
% 8.19/1.58  % (10282)Instruction limit reached!
% 8.19/1.58  % (10282)------------------------------
% 8.19/1.58  % (10282)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.19/1.58  % (10282)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.19/1.58  % (10282)Termination reason: Unknown
% 8.19/1.58  % (10282)Termination phase: Saturation
% 8.19/1.58  
% 8.19/1.58  % (10282)Memory used [KB]: 9466
% 8.19/1.58  % (10282)Time elapsed: 0.294 s
% 8.19/1.58  % (10282)Instructions burned: 482 (million)
% 8.19/1.58  % (10282)------------------------------
% 8.19/1.58  % (10282)------------------------------
% 8.19/1.60  % (10280)Instruction limit reached!
% 8.19/1.60  % (10280)------------------------------
% 8.19/1.60  % (10280)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.19/1.60  % (10280)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.19/1.60  % (10280)Termination reason: Unknown
% 8.19/1.60  % (10280)Termination phase: Saturation
% 8.19/1.60  
% 8.19/1.60  % (10280)Memory used [KB]: 5373
% 8.19/1.60  % (10280)Time elapsed: 1.095 s
% 8.19/1.60  % (10280)Instructions burned: 499 (million)
% 8.19/1.60  % (10280)------------------------------
% 8.19/1.60  % (10280)------------------------------
% 9.78/1.70  % (10286)Instruction limit reached!
% 9.78/1.70  % (10286)------------------------------
% 9.78/1.70  % (10286)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.78/1.70  % (10286)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.78/1.70  % (10286)Termination reason: Unknown
% 9.78/1.70  % (10286)Termination phase: Saturation
% 9.78/1.70  
% 9.78/1.70  % (10286)Memory used [KB]: 9338
% 9.78/1.70  % (10286)Time elapsed: 0.277 s
% 9.78/1.70  % (10286)Instructions burned: 439 (million)
% 9.78/1.70  % (10286)------------------------------
% 9.78/1.70  % (10286)------------------------------
% 9.78/1.73  % (10424)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/9989Mi)
% 9.78/1.74  % (10281)Instruction limit reached!
% 9.78/1.74  % (10281)------------------------------
% 9.78/1.74  % (10281)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.78/1.74  % (10281)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.78/1.74  % (10281)Termination reason: Unknown
% 9.78/1.74  % (10281)Termination phase: Saturation
% 9.78/1.74  
% 9.78/1.74  % (10281)Memory used [KB]: 9466
% 9.78/1.74  % (10281)Time elapsed: 0.295 s
% 9.78/1.74  % (10281)Instructions burned: 467 (million)
% 9.78/1.74  % (10281)------------------------------
% 9.78/1.74  % (10281)------------------------------
% 9.78/1.76  % (10386)Instruction limit reached!
% 9.78/1.76  % (10386)------------------------------
% 9.78/1.76  % (10386)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.78/1.76  % (10386)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.78/1.76  % (10386)Termination reason: Unknown
% 9.78/1.76  % (10386)Termination phase: Saturation
% 9.78/1.76  
% 9.78/1.76  % (10386)Memory used [KB]: 7803
% 9.78/1.76  % (10386)Time elapsed: 0.609 s
% 9.78/1.76  % (10386)Instructions burned: 91 (million)
% 9.78/1.76  % (10386)------------------------------
% 9.78/1.76  % (10386)------------------------------
% 10.52/1.77  % (10329)Instruction limit reached!
% 10.52/1.77  % (10329)------------------------------
% 10.52/1.77  % (10329)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.52/1.77  % (10329)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.52/1.77  % (10329)Termination reason: Unknown
% 10.52/1.77  % (10329)Termination phase: Saturation
% 10.52/1.77  
% 10.52/1.77  % (10329)Memory used [KB]: 5884
% 10.52/1.77  % (10329)Time elapsed: 0.897 s
% 10.52/1.77  % (10329)Instructions burned: 656 (million)
% 10.52/1.77  % (10329)------------------------------
% 10.52/1.77  % (10329)------------------------------
% 10.92/1.85  % (10433)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/9707Mi)
% 10.92/1.88  % (10436)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 (2987ds/90Mi)
% 10.92/1.89  % (10452)dis+1002_1:1_fde=unused:nwc=10.0:s2a=on:s2at=3.0:sac=on:i=32293:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/32293Mi)
% 11.39/1.97  % (10444)ott+3_1:1_abs=on:anc=none:bs=on:fsr=off:spb=goal_then_units:i=44001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/44001Mi)
% 11.84/1.99  % (10446)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 (2985ds/4958Mi)
% 12.49/2.08  % (10436)Instruction limit reached!
% 12.49/2.08  % (10436)------------------------------
% 12.49/2.08  % (10436)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.49/2.08  % (10436)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.49/2.08  % (10436)Termination reason: Unknown
% 12.49/2.08  % (10436)Termination phase: Saturation
% 12.49/2.08  
% 12.49/2.08  % (10436)Memory used [KB]: 7803
% 12.49/2.08  % (10436)Time elapsed: 0.406 s
% 12.49/2.08  % (10436)Instructions burned: 90 (million)
% 12.49/2.08  % (10436)------------------------------
% 12.49/2.08  % (10436)------------------------------
% 12.72/2.10  % (10283)Instruction limit reached!
% 12.72/2.10  % (10283)------------------------------
% 12.72/2.10  % (10283)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.72/2.10  % (10283)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.72/2.10  % (10283)Termination reason: Unknown
% 12.72/2.10  % (10283)Termination phase: Saturation
% 12.72/2.10  
% 12.72/2.10  % (10283)Memory used [KB]: 10618
% 12.72/2.10  % (10283)Time elapsed: 1.600 s
% 12.72/2.10  % (10283)Instructions burned: 501 (million)
% 12.72/2.10  % (10283)------------------------------
% 12.72/2.10  % (10283)------------------------------
% 12.96/2.13  % (10448)ott+1_27:428_av=off:awrs=converge:awrsf=8:bsr=unit_only:drc=off:fd=preordered:newcnf=on:nwc=1.5:skr=on:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:uwa=one_side_constant:i=35256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/35256Mi)
% 14.63/2.34  % (10474)ott+21_1:28_afr=on:anc=all_dependent:bs=on:bsr=unit_only:nicw=on:sp=const_frequency:uhcvi=on:i=37001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2982ds/37001Mi)
% 15.69/2.50  % (10479)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=10187:si=on:rawr=on:rtra=on_0 on theBenchmark for (2982ds/10187Mi)
% 18.32/2.80  % (10325)Instruction limit reached!
% 18.32/2.80  % (10325)------------------------------
% 18.32/2.80  % (10325)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 18.32/2.80  % (10325)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 18.32/2.80  % (10325)Termination reason: Unknown
% 18.32/2.80  % (10325)Termination phase: Saturation
% 18.32/2.80  
% 18.32/2.80  % (10325)Memory used [KB]: 14967
% 18.32/2.80  % (10325)Time elapsed: 1.992 s
% 18.32/2.80  % (10325)Instructions burned: 935 (million)
% 18.32/2.80  % (10325)------------------------------
% 18.32/2.80  % (10325)------------------------------
% 19.83/2.98  % (10324)Instruction limit reached!
% 19.83/2.98  % (10324)------------------------------
% 19.83/2.98  % (10324)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 19.83/2.98  % (10324)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 19.83/2.98  % (10324)Termination reason: Unknown
% 19.83/2.98  % (10324)Termination phase: Saturation
% 19.83/2.98  
% 19.83/2.98  % (10324)Memory used [KB]: 11897
% 19.83/2.98  % (10324)Time elapsed: 0.560 s
% 19.83/2.98  % (10324)Instructions burned: 920 (million)
% 19.83/2.98  % (10324)------------------------------
% 19.83/2.98  % (10324)------------------------------
% 20.29/3.05  % (10508)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=29337:si=on:rawr=on:rtra=on_0 on theBenchmark for (2975ds/29337Mi)
% 21.40/3.17  % (10344)Instruction limit reached!
% 21.40/3.17  % (10344)------------------------------
% 21.40/3.17  % (10344)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 21.40/3.17  % (10344)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 21.40/3.17  % (10344)Termination reason: Unknown
% 21.40/3.17  % (10344)Termination phase: Saturation
% 21.40/3.17  
% 21.40/3.17  % (10344)Memory used [KB]: 12409
% 21.40/3.17  % (10344)Time elapsed: 0.591 s
% 21.40/3.17  % (10344)Instructions burned: 981 (million)
% 21.40/3.17  % (10344)------------------------------
% 21.40/3.17  % (10344)------------------------------
% 21.66/3.23  % (10514)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=10147:si=on:rawr=on:rtra=on_0 on theBenchmark for (2973ds/10147Mi)
% 22.83/3.34  % (10409)Instruction limit reached!
% 22.83/3.34  % (10409)------------------------------
% 22.83/3.34  % (10409)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 22.83/3.34  % (10409)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 22.83/3.34  % (10409)Termination reason: Unknown
% 22.83/3.34  % (10409)Termination phase: Saturation
% 22.83/3.34  
% 22.83/3.34  % (10409)Memory used [KB]: 3965
% 22.83/3.34  % (10409)Time elapsed: 0.996 s
% 22.83/3.34  % (10409)Instructions burned: 1825 (million)
% 22.83/3.34  % (10409)------------------------------
% 22.83/3.34  % (10409)------------------------------
% 22.83/3.37  % (10327)Instruction limit reached!
% 22.83/3.37  % (10327)------------------------------
% 22.83/3.37  % (10327)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 22.83/3.37  % (10327)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 22.83/3.37  % (10327)Termination reason: Unknown
% 22.83/3.37  % (10327)Termination phase: Saturation
% 22.83/3.37  
% 22.83/3.37  % (10327)Memory used [KB]: 11257
% 22.83/3.37  % (10327)Time elapsed: 0.493 s
% 22.83/3.37  % (10327)Instructions burned: 748 (million)
% 22.83/3.37  % (10327)------------------------------
% 22.83/3.37  % (10327)------------------------------
% 23.22/3.43  % (10521)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=38056:si=on:rawr=on:rtra=on_0 on theBenchmark for (2971ds/38056Mi)
% 24.01/3.48  % (10527)fmb+10_1:1_dr=on:fmbsr=2.0:newcnf=on:nm=2:i=33239:si=on:rawr=on:rtra=on_0 on theBenchmark for (2969ds/33239Mi)
% 25.07/3.65  % (10338)Instruction limit reached!
% 25.07/3.65  % (10338)------------------------------
% 25.07/3.65  % (10338)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 25.07/3.65  % (10338)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 25.07/3.65  % (10338)Termination reason: Unknown
% 25.07/3.65  % (10338)Termination phase: Saturation
% 25.07/3.65  
% 25.07/3.65  % (10338)Memory used [KB]: 10874
% 25.07/3.65  % (10338)Time elapsed: 2.808 s
% 25.07/3.65  % (10338)Instructions burned: 940 (million)
% 25.07/3.65  % (10338)------------------------------
% 25.07/3.65  % (10338)------------------------------
% 25.45/3.67  % (10361)Instruction limit reached!
% 25.45/3.67  % (10361)------------------------------
% 25.45/3.67  % (10361)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 25.45/3.67  % (10361)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 25.45/3.67  % (10361)Termination reason: Unknown
% 25.45/3.67  % (10361)Termination phase: Saturation
% 25.45/3.67  
% 25.45/3.67  % (10361)Memory used [KB]: 23666
% 25.45/3.67  % (10361)Time elapsed: 2.675 s
% 25.45/3.67  % (10361)Instructions burned: 4932 (million)
% 25.45/3.67  % (10361)------------------------------
% 25.45/3.67  % (10361)------------------------------
% 25.45/3.72  % (10528)fmb+10_1:1_fmbas=predicate:gsp=on:nm=2:i=20987:si=on:rawr=on:rtra=on_0 on theBenchmark for (2969ds/20987Mi)
% 26.07/3.79  TRYING [21]
% 27.06/3.94  % (10541)dis+2_1:64_add=large:bce=on:bd=off:i=19144:si=on:rawr=on:rtra=on_0 on theBenchmark for (2966ds/19144Mi)
% 28.28/4.07  TRYING [21]
% 28.99/4.14  % (10540)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=49917:si=on:rawr=on:rtra=on_0 on theBenchmark for (2966ds/49917Mi)
% 31.52/4.47  TRYING [21]
% 35.91/5.05  % (10363)Instruction limit reached!
% 35.91/5.05  % (10363)------------------------------
% 35.91/5.05  % (10363)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 35.91/5.05  % (10363)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 35.91/5.05  % (10363)Termination reason: Unknown
% 35.91/5.05  % (10363)Termination phase: Saturation
% 35.91/5.05  
% 35.91/5.05  % (10363)Memory used [KB]: 3965
% 35.91/5.05  % (10363)Time elapsed: 1.103 s
% 35.91/5.05  % (10363)Instructions burned: 1824 (million)
% 35.91/5.05  % (10363)------------------------------
% 35.91/5.05  % (10363)------------------------------
% 36.95/5.17  TRYING [21]
% 37.63/5.25  % (10586)dis+10_1:128_bd=off:lcm=predicate:sac=on:sp=reverse_arity:urr=on:i=27492:si=on:rawr=on:rtra=on_0 on theBenchmark for (2952ds/27492Mi)
% 40.18/5.58  % (10394)Instruction limit reached!
% 40.18/5.58  % (10394)------------------------------
% 40.18/5.58  % (10394)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 40.18/5.58  % (10394)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 40.18/5.58  % (10394)Termination reason: Unknown
% 40.18/5.58  % (10394)Termination phase: Saturation
% 40.18/5.58  
% 40.18/5.58  % (10394)Memory used [KB]: 22899
% 40.18/5.58  % (10394)Time elapsed: 4.345 s
% 40.18/5.58  % (10394)Instructions burned: 2017 (million)
% 40.18/5.58  % (10394)------------------------------
% 40.18/5.58  % (10394)------------------------------
% 42.28/5.82  % (10605)ott-11_1:32_i=6101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2947ds/6101Mi)
% 54.71/7.38  % (10369)Instruction limit reached!
% 54.71/7.38  % (10369)------------------------------
% 54.71/7.38  % (10369)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 54.71/7.38  % (10369)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 54.71/7.38  % (10369)Termination reason: Unknown
% 54.71/7.38  % (10369)Termination phase: Saturation
% 54.71/7.38  
% 54.71/7.38  % (10369)Memory used [KB]: 20084
% 54.71/7.38  % (10369)Time elapsed: 1.765 s
% 54.71/7.38  % (10369)Instructions burned: 2892 (million)
% 54.71/7.38  % (10369)------------------------------
% 54.71/7.38  % (10369)------------------------------
% 55.84/7.56  % (10643)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 (2929ds/90Mi)
% 56.36/7.59  % (10348)Instruction limit reached!
% 56.36/7.59  % (10348)------------------------------
% 56.36/7.59  % (10348)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 56.36/7.59  % (10348)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 56.36/7.59  % (10348)Termination reason: Unknown
% 56.36/7.59  % (10348)Termination phase: Saturation
% 56.36/7.59  
% 56.36/7.59  % (10348)Memory used [KB]: 38123
% 56.36/7.59  % (10348)Time elapsed: 6.699 s
% 56.36/7.59  % (10348)Instructions burned: 2016 (million)
% 56.36/7.59  % (10348)------------------------------
% 56.36/7.59  % (10348)------------------------------
% 57.49/7.73  % (10643)Instruction limit reached!
% 57.49/7.73  % (10643)------------------------------
% 57.49/7.73  % (10643)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 57.49/7.73  % (10643)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 57.49/7.73  % (10643)Termination reason: Unknown
% 57.49/7.73  % (10643)Termination phase: Saturation
% 57.49/7.73  
% 57.49/7.73  % (10643)Memory used [KB]: 7803
% 57.49/7.73  % (10643)Time elapsed: 0.287 s
% 57.49/7.73  % (10643)Instructions burned: 91 (million)
% 57.49/7.73  % (10643)------------------------------
% 57.49/7.73  % (10643)------------------------------
% 59.05/7.92  % (10649)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=7127:si=on:rawr=on:rtra=on_0 on theBenchmark for (2926ds/7127Mi)
% 59.05/7.94  % (10646)ott+11_1:128_av=off:bd=off:bsr=unit_only:fd=preordered:to=lpo:updr=off:i=91600:si=on:rawr=on:rtra=on_0 on theBenchmark for (2927ds/91600Mi)
% 60.82/8.17  % (10360)Instruction limit reached!
% 60.82/8.17  % (10360)------------------------------
% 60.82/8.17  % (10360)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 60.82/8.17  % (10360)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 60.82/8.17  % (10360)Termination reason: Unknown
% 60.82/8.18  % (10360)Termination phase: Saturation
% 60.82/8.18  
% 60.82/8.18  % (10360)Memory used [KB]: 26225
% 60.82/8.18  % (10360)Time elapsed: 2.794 s
% 60.82/8.18  % (10360)Instructions burned: 4756 (million)
% 60.82/8.18  % (10360)------------------------------
% 60.82/8.18  % (10360)------------------------------
% 61.84/8.31  % (10664)ott+1_27:428_av=off:awrs=converge:awrsf=8:bsr=unit_only:drc=off:fd=preordered:newcnf=on:nwc=1.5:skr=on:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:uwa=one_side_constant:i=35256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2921ds/35256Mi)
% 61.84/8.33  % (10356)Instruction limit reached!
% 61.84/8.33  % (10356)------------------------------
% 61.84/8.33  % (10356)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 61.84/8.33  % (10356)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 61.84/8.33  % (10356)Termination reason: Unknown
% 61.84/8.33  % (10356)Termination phase: Saturation
% 61.84/8.33  
% 61.84/8.33  % (10356)Memory used [KB]: 4093
% 61.84/8.33  % (10356)Time elapsed: 2.898 s
% 61.84/8.33  % (10356)Instructions burned: 4958 (million)
% 61.84/8.33  % (10356)------------------------------
% 61.84/8.33  % (10356)------------------------------
% 63.49/8.48  % (10671)dis+1002_1:1_fde=unused:nwc=10.0:s2a=on:s2at=3.0:sac=on:i=32293:si=on:rawr=on:rtra=on_0 on theBenchmark for (2919ds/32293Mi)
% 63.49/8.50  % (10364)Instruction limit reached!
% 63.49/8.50  % (10364)------------------------------
% 63.49/8.50  % (10364)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 63.49/8.50  % (10364)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 63.49/8.50  % (10364)Termination reason: Unknown
% 63.49/8.50  % (10364)Termination phase: Saturation
% 63.49/8.50  
% 63.49/8.50  % (10364)Memory used [KB]: 16119
% 63.49/8.50  % (10364)Time elapsed: 7.471 s
% 63.49/8.50  % (10364)Instructions burned: 2136 (million)
% 63.49/8.50  % (10364)------------------------------
% 63.49/8.50  % (10364)------------------------------
% 66.32/8.92  % (10678)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=29337:si=on:rawr=on:rtra=on_0 on theBenchmark for (2918ds/29337Mi)
% 75.59/10.02  % (10385)Instruction limit reached!
% 75.59/10.02  % (10385)------------------------------
% 75.59/10.02  % (10385)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 75.59/10.02  % (10385)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 75.59/10.02  % (10385)Termination reason: Unknown
% 75.59/10.02  % (10385)Termination phase: Saturation
% 75.59/10.02  
% 75.59/10.02  % (10385)Memory used [KB]: 31854
% 75.59/10.02  % (10385)Time elapsed: 8.887 s
% 75.59/10.02  % (10385)Instructions burned: 4585 (million)
% 75.59/10.02  % (10385)------------------------------
% 75.59/10.02  % (10385)------------------------------
% 77.75/10.30  % (10707)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=99860:si=on:rawr=on:rtra=on_0 on theBenchmark for (2903ds/99860Mi)
% 78.23/10.34  % (10357)Instruction limit reached!
% 78.23/10.34  % (10357)------------------------------
% 78.23/10.34  % (10357)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 78.23/10.34  % (10357)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 78.23/10.34  % (10357)Termination reason: Unknown
% 78.23/10.34  % (10357)Termination phase: Saturation
% 78.23/10.34  
% 78.23/10.34  % (10357)Memory used [KB]: 36587
% 78.23/10.34  % (10357)Time elapsed: 9.348 s
% 78.23/10.34  % (10357)Instructions burned: 4960 (million)
% 78.23/10.34  % (10357)------------------------------
% 78.23/10.34  % (10357)------------------------------
% 79.91/10.55  % (10713)fmb+10_1:1_fmbas=expand:i=96985:si=on:rawr=on:rtra=on_0 on theBenchmark for (2899ds/96985Mi)
% 80.72/10.69  % (10446)First to succeed.
% 82.31/10.92  TRYING [21]
% 83.49/11.00  TRYING [21]
% 84.06/11.06  % (10446)Refutation found. Thanks to Tanya!
% 84.06/11.06  % SZS status Unsatisfiable for theBenchmark
% 84.06/11.06  % SZS output start Proof for theBenchmark
% See solution above
% 84.16/11.09  % (10446)------------------------------
% 84.16/11.09  % (10446)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 84.16/11.09  % (10446)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 84.16/11.09  % (10446)Termination reason: Refutation
% 84.16/11.09  
% 84.16/11.09  % (10446)Memory used [KB]: 4861
% 84.16/11.09  % (10446)Time elapsed: 2.675 s
% 84.16/11.09  % (10446)Instructions burned: 4228 (million)
% 84.16/11.09  % (10446)------------------------------
% 84.16/11.09  % (10446)------------------------------
% 84.16/11.09  % (10255)Success in time 10.724 s
%------------------------------------------------------------------------------