TSTP Solution File: NUM378+1.015.020 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : NUM378+1.015.020 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n006.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 18:04:53 EDT 2022

% Result   : Unsatisfiable 18.58s 2.80s
% Output   : Refutation 18.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :  565
% Syntax   : Number of formulae    : 1629 (1057 unt;   0 def)
%            Number of atoms       : 3385 (2256 equ)
%            Maximal formula atoms :  564 (   2 avg)
%            Number of connectives : 2252 ( 496   ~; 132   |;1060   &)
%                                         ( 564 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  653 (   2 avg)
%            Maximal term depth    :   17 (   4 avg)
%            Number of predicates  :  566 ( 564 usr; 565 prp; 0-2 aty)
%            Number of functors    :  141 ( 141 usr; 138 con; 0-2 aty)
%            Number of variables   :  244 (   0   !; 244   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3321,plain,
    $false,
    inference(avatar_smt_refutation,[],[f538,f543,f548,f553,f558,f563,f568,f573,f578,f583,f588,f593,f598,f603,f608,f613,f618,f623,f628,f633,f638,f643,f648,f653,f658,f663,f668,f673,f678,f683,f688,f693,f698,f703,f708,f713,f718,f723,f728,f733,f738,f743,f748,f753,f758,f763,f768,f773,f778,f783,f788,f793,f798,f803,f808,f813,f818,f823,f828,f833,f838,f843,f848,f853,f858,f863,f868,f873,f878,f883,f888,f893,f898,f903,f908,f913,f918,f923,f928,f933,f938,f943,f948,f953,f958,f963,f968,f973,f978,f983,f988,f993,f998,f1003,f1008,f1013,f1018,f1023,f1028,f1033,f1038,f1043,f1048,f1053,f1058,f1063,f1068,f1073,f1078,f1083,f1088,f1093,f1098,f1103,f1108,f1113,f1118,f1123,f1128,f1133,f1138,f1203,f1208,f1213,f1218,f1223,f1228,f1233,f1238,f1243,f1308,f1313,f1318,f1323,f1328,f1333,f1338,f1343,f1348,f1353,f1358,f1363,f1368,f1373,f1378,f1383,f1388,f1393,f1398,f1403,f1408,f1413,f1418,f1423,f1428,f1433,f1438,f1443,f1448,f1453,f1458,f1463,f1468,f1473,f1478,f1483,f1488,f1493,f1498,f1503,f1508,f1513,f1518,f1523,f1528,f1533,f1538,f1543,f1548,f1553,f1558,f1563,f1568,f1573,f1578,f1583,f1588,f1593,f1598,f1603,f1608,f1613,f1618,f1623,f1628,f1633,f1638,f1643,f1648,f1653,f1658,f1663,f1668,f1673,f1678,f1683,f1688,f1693,f1698,f1703,f1708,f1713,f1718,f1723,f1728,f1733,f1738,f1743,f1748,f1753,f1758,f1763,f1768,f1773,f1778,f1783,f1788,f1793,f1798,f1803,f1808,f1813,f1818,f1823,f1828,f1833,f1838,f1843,f1848,f1853,f1858,f1863,f1868,f1873,f1878,f1883,f1888,f1893,f1898,f1903,f1908,f1913,f1918,f1923,f1928,f1933,f1938,f1943,f1948,f1953,f1958,f1963,f1968,f1973,f1978,f1983,f1988,f1993,f1998,f2003,f2008,f2013,f2018,f2023,f2028,f2033,f2038,f2043,f2048,f2053,f2058,f2063,f2068,f2073,f2078,f2083,f2088,f2093,f2098,f2103,f2108,f2113,f2118,f2123,f2128,f2133,f2138,f2143,f2148,f2153,f2158,f2163,f2168,f2173,f2178,f2183,f2188,f2193,f2198,f2203,f2208,f2213,f2218,f2223,f2228,f2233,f2238,f2243,f2248,f2253,f2258,f2263,f2268,f2273,f2278,f2283,f2288,f2293,f2298,f2303,f2308,f2313,f2318,f2323,f2328,f2333,f2338,f2343,f2348,f2353,f2358,f2363,f2368,f2373,f2378,f2383,f2388,f2393,f2398,f2403,f2408,f2413,f2418,f2423,f2428,f2433,f2438,f2443,f2448,f2453,f2458,f2463,f2468,f2473,f2478,f2483,f2488,f2493,f2498,f2503,f2508,f2513,f2518,f2523,f2528,f2533,f2538,f2543,f2548,f2553,f2558,f2563,f2580,f2585,f2590,f2595,f2600,f2605,f2610,f2615,f2620,f2625,f2630,f2635,f2640,f2645,f2650,f2655,f2660,f2665,f2670,f2675,f2680,f2685,f2690,f2695,f2700,f2705,f2710,f2715,f2720,f2725,f2730,f2735,f2740,f2745,f2750,f2755,f2760,f2765,f2770,f2775,f2780,f2785,f2790,f2795,f2800,f2805,f2810,f2815,f2820,f2825,f2830,f2835,f2840,f2845,f2850,f2855,f2860,f2865,f2870,f2875,f2880,f2885,f2890,f2895,f2900,f2905,f2910,f2915,f2920,f2925,f2930,f2935,f2940,f2945,f2950,f2955,f2960,f2965,f2970,f2975,f2980,f2985,f2990,f2995,f3000,f3005,f3010,f3015,f3020,f3025,f3030,f3035,f3040,f3045,f3050,f3055,f3060,f3065,f3070,f3075,f3080,f3085,f3090,f3095,f3100,f3105,f3110,f3115,f3120,f3125,f3130,f3135,f3140,f3145,f3150,f3155,f3160,f3165,f3170,f3175,f3180,f3185,f3190,f3195,f3200,f3205,f3210,f3215,f3220,f3225,f3230,f3235,f3240,f3245,f3250,f3255,f3260,f3265,f3270,f3275,f3280,f3285,f3290,f3295,f3300,f3305,f3310,f3315,f3320]) ).

fof(f3320,plain,
    spl122_564,
    inference(avatar_split_clause,[],[f407,f3317]) ).

fof(f3317,plain,
    ( spl122_564
  <=> n4 = pred(n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_564])]) ).

fof(f407,plain,
    n4 = pred(n5),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,plain,
    ? [X12,X35,X19,X114,X80,X65,X99,X61,X108,X94,X82,X17,X32,X78,X98,X29,X31,X58,X16,X85,X56,X110,X118,X28,X77,X21,X38,X37,X72,X67,X95,X121,X104,X46,X5,X33,X25,X70,X63,X76,X8,X73,X106,X92,X20,X49,X53,X50,X43,X24,X44,X36,X34,X93,X97,X69,X30,X75,X1,X14,X13,X89,X11,X66,X23,X101,X18,X113,X42,X86,X54,X26,X87,X115,X103,X41,X84,X22,X100,X51,X15,X48,X55,X111,X45,X81,X68,X112,X119,X117,X59,X3,X74,X57,X116,X96,X90,X79,X109,X2,X62,X71,X47,X88,X39,X91,X0,X107,X120,X27,X7,X6,X40,X64,X105,X83,X52,X60,X10,X4,X9,X102] :
      ( n12 != n13
      & n4 = sum(n6,n14)
      & ( X31 != X92
        | X20 != X56
        | X40 != X62
        | X18 != X111 )
      & n9 = sum(n4,n5)
      & n3 = sum(n5,n14)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X3)))))))))))))))) = X44
      & n15 = sum(n13,n2)
      & n5 = sum(n11,n10)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X65)))))))))))))))) = X52
      & n14 = sum(n5,n9)
      & n9 != n13
      & n15 = sum(n7,n8)
      & n1 != n3
      & n2 = sum(n9,n9)
      & n14 = sum(n8,n6)
      & n0 != n11
      & n4 = sum(n15,n5)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X109)))))))))))))))) = X102
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X39)))))))))))))))) = X108
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X18)))))))))))))))) = X87
      & n13 != n15
      & sum(sum(pred(X48),succ(X121)),sum(pred(X121),succ(X48))) = X111
      & n3 = sum(n0,n3)
      & n13 = sum(n2,n11)
      & n10 != n13
      & n1 != n14
      & n7 != n9
      & n4 = sum(n7,n13)
      & n0 != n13
      & succ(n4) = n5
      & n5 = sum(n5,n0)
      & sum(pred(X75),sum(succ(X103),sum(pred(X21),succ(X10)))) = X18
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X117)))))))))))))))) = X89
      & n12 = sum(n6,n6)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X20)))))))))))))))) = X58
      & sum(sum(pred(X63),succ(X93)),sum(pred(X93),succ(X63))) = X119
      & n2 = sum(n11,n7)
      & n3 = sum(n12,n7)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X34)))))))))))))))) = X67
      & n3 = sum(n9,n10)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X50)))))))))))))))) = X28
      & n5 = sum(n14,n7)
      & n5 = sum(n1,n4)
      & n14 = sum(n13,n1)
      & n4 != n6
      & n12 = sum(n0,n12)
      & n8 != n9
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X39)))))))))))))))) = X112
      & n1 = sum(n12,n5)
      & sum(sum(pred(X111),succ(X18)),sum(pred(X18),succ(X111))) = X92
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X71)))))))))))))))) = X41
      & sum(sum(pred(X26),succ(X3)),sum(pred(X3),succ(X26))) = X65
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X1)))))))))))))))) = X16
      & n13 = sum(n13,n0)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X84)))))))))))))))) = X77
      & n4 = sum(n0,n4)
      & n5 != n9
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X63)))))))))))))))) = X19
      & n9 != n12
      & n11 = sum(n4,n7)
      & n7 = sum(n9,n14)
      & n10 = sum(n12,n14)
      & n8 != n14
      & n4 = sum(n13,n7)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X42)))))))))))))))) = X17
      & n12 != n15
      & n0 != n15
      & n6 != n12
      & n13 = sum(n1,n12)
      & n5 != n11
      & n2 = sum(n12,n6)
      & n3 != n4
      & n11 = pred(n12)
      & n3 = sum(n4,n15)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X7)))))))))))))))) = X104
      & n10 = sum(n4,n6)
      & n8 = sum(n3,n5)
      & n11 != n15
      & n7 != n8
      & n8 = sum(n0,n8)
      & n7 = sum(n10,n13)
      & sum(sum(pred(X65),succ(X2)),sum(pred(X2),succ(X65))) = X120
      & n5 = pred(n6)
      & n7 != n11
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X93)))))))))))))))) = X36
      & n9 = sum(n15,n10)
      & sum(sum(pred(X88),succ(X74)),sum(pred(X74),succ(X88))) = X26
      & n1 = sum(n14,n3)
      & n4 = sum(n10,n10)
      & n3 = sum(n15,n4)
      & n3 != n8
      & n5 = sum(n10,n11)
      & n0 = sum(n2,n14)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X2)))))))))))))))) = X114
      & n2 != n14
      & n10 = sum(n15,n11)
      & n11 = sum(n15,n12)
      & n13 = sum(n12,n1)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X26)))))))))))))))) = X0
      & n12 = sum(n2,n10)
      & n2 != n6
      & n10 = sum(n2,n8)
      & n8 != n11
      & n0 = sum(n12,n4)
      & sum(pred(X102),sum(succ(X8),sum(pred(X86),succ(X5)))) = X71
      & n6 = sum(n11,n11)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X70)))))))))))))))) = X37
      & n5 = sum(n12,n9)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X74)))))))))))))))) = X61
      & sum(pred(X43),sum(succ(X52),sum(pred(X114),succ(X23)))) = X101
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X116)))))))))))))))) = X51
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X111)))))))))))))))) = X72
      & n11 = sum(n1,n10)
      & succ(n6) = n7
      & n7 = sum(n11,n12)
      & sum(pred(X108),sum(succ(X112),sum(pred(X45),succ(X60)))) = X95
      & n7 != n15
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X95)))))))))))))))) = X33
      & n0 = sum(n15,n1)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X65)))))))))))))))) = X43
      & n10 = sum(n9,n1)
      & n9 = sum(n6,n3)
      & sum(sum(pred(X110),succ(X66)),sum(pred(X66),succ(X110))) = X39
      & n8 = sum(n7,n1)
      & n4 != n8
      & n14 = sum(n3,n11)
      & n11 = sum(n8,n3)
      & n4 = pred(n5)
      & n12 = sum(n13,n15)
      & n4 != n15
      & ( n11 = X34
        | n0 = X34
        | n1 = X34
        | n5 = X34
        | n12 = X34
        | n13 = X34
        | n8 = X34
        | n4 = X34
        | n3 = X34
        | n2 = X34
        | n7 = X34
        | n9 = X34
        | n15 = X34
        | n10 = X34
        | n6 = X34
        | n14 = X34 )
      & n9 = sum(n2,n7)
      & n3 != n6
      & n13 != n14
      & n7 = sum(n12,n11)
      & n3 = sum(n1,n2)
      & n15 = sum(n8,n7)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X13)))))))))))))))) = X73
      & n1 = sum(n3,n14)
      & n0 != n8
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X119)))))))))))))))) = X113
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X117)))))))))))))))) = X91
      & n12 = sum(n15,n13)
      & n4 = sum(n4,n0)
      & n4 = sum(n5,n15)
      & n12 = pred(n13)
      & n10 = sum(n5,n5)
      & n6 != n10
      & n6 = sum(n1,n5)
      & n15 = sum(n10,n5)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X3)))))))))))))))) = X115
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X2)))))))))))))))) = X23
      & n3 != n5
      & n10 = sum(n3,n7)
      & n6 = sum(n4,n2)
      & n3 = sum(n13,n6)
      & n4 != n13
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X38)))))))))))))))) = X24
      & n3 = pred(n4)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X120)))))))))))))))) = X32
      & n8 != n15
      & n10 != n11
      & n13 = sum(n3,n10)
      & n2 != n4
      & n13 = sum(n14,n15)
      & sum(pred(X29),sum(succ(X73),sum(pred(X37),succ(X57)))) = X66
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X106)))))))))))))))) = X45
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X101)))))))))))))))) = X94
      & n0 != n5
      & n1 = sum(n9,n8)
      & n13 = sum(n0,n13)
      & n11 != n12
      & n14 = sum(n2,n12)
      & n9 = sum(n12,n13)
      & n10 = pred(n11)
      & n3 != n12
      & n2 != n15
      & n4 = sum(n12,n8)
      & n0 = sum(n14,n2)
      & n15 = pred(n0)
      & n13 = sum(n8,n5)
      & n7 = sum(n1,n6)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X106)))))))))))))))) = X60
      & n0 = sum(n1,n15)
      & n15 = sum(n3,n12)
      & n4 != n14
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X56)))))))))))))))) = X12
      & n6 != n9
      & n3 = sum(n6,n13)
      & succ(n9) = n10
      & n4 = sum(n9,n11)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X121)))))))))))))))) = X21
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X110)))))))))))))))) = X76
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X88)))))))))))))))) = X46
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X64)))))))))))))))) = X86
      & n14 = sum(n10,n4)
      & n8 = sum(n4,n4)
      & n1 != n2
      & n1 = sum(n8,n9)
      & n2 = sum(n3,n15)
      & sum(pred(X78),sum(succ(X72),sum(pred(X87),succ(X54)))) = X31
      & n10 = sum(n13,n13)
      & n3 != n14
      & n7 = sum(n6,n1)
      & n9 = sum(n11,n14)
      & n14 = sum(n0,n14)
      & n9 = sum(n0,n9)
      & n11 = sum(n0,n11)
      & sum(pred(X4),sum(succ(X76),sum(pred(X97),succ(X25)))) = X106
      & sum(pred(X59),sum(succ(X0),sum(pred(X44),succ(X115)))) = X2
      & n14 = sum(n14,n0)
      & n0 != n9
      & n2 = pred(n3)
      & sum(sum(pred(X119),succ(X116)),sum(pred(X116),succ(X119))) = X48
      & n3 != n9
      & n5 = sum(n3,n2)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X56)))))))))))))))) = X118
      & sum(sum(pred(X6),succ(X84)),sum(pred(X84),succ(X6))) = X30
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X30)))))))))))))))) = X80
      & n7 = sum(n13,n10)
      & n2 != n11
      & n2 = sum(n4,n14)
      & n14 = sum(n12,n2)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X63)))))))))))))))) = X98
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X26)))))))))))))))) = X59
      & succ(n12) = n13
      & n10 = sum(n11,n15)
      & n3 = sum(n3,n0)
      & n6 = sum(n2,n4)
      & n13 = sum(n10,n3)
      & n13 = sum(n6,n7)
      & n10 = sum(n10,n0)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X66)))))))))))))))) = X25
      & n11 = sum(n9,n2)
      & n4 != n12
      & n3 = sum(n8,n11)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X30)))))))))))))))) = X107
      & n11 = sum(n7,n4)
      & sum(sum(pred(X39),succ(X106)),sum(pred(X106),succ(X39))) = X50
      & n8 = sum(n1,n7)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X70)))))))))))))))) = X57
      & n1 = sum(n10,n7)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X88)))))))))))))))) = X83
      & n4 = sum(n8,n12)
      & n10 = sum(n0,n10)
      & n12 = sum(n14,n14)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X18)))))))))))))))) = X54
      & n9 = sum(n10,n15)
      & n0 = sum(n5,n11)
      & n5 != n13
      & n1 != n5
      & n2 = sum(n5,n13)
      & n1 != n10
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X95)))))))))))))))) = X47
      & n9 = sum(n3,n6)
      & n1 != n15
      & n14 = sum(n15,n15)
      & n14 = sum(n6,n8)
      & n4 != n10
      & n2 = sum(n10,n8)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X13)))))))))))))))) = X29
      & n8 = sum(n9,n15)
      & n0 != n1
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X71)))))))))))))))) = X82
      & n0 = sum(n10,n6)
      & n3 != n15
      & n5 != n8
      & n6 != n13
      & n6 = sum(n8,n14)
      & n3 = sum(n7,n12)
      & n3 = sum(n11,n8)
      & succ(n2) = n3
      & n6 = sum(n0,n6)
      & n9 != n10
      & n6 = sum(n10,n12)
      & sum(pred(X19),sum(succ(X98),sum(pred(X9),succ(X36)))) = X116
      & succ(n14) = n15
      & n1 = sum(n6,n11)
      & n11 = sum(n2,n9)
      & n5 = sum(n8,n13)
      & n4 = sum(n11,n9)
      & sum(sum(pred(X20),succ(X56)),sum(pred(X56),succ(X20))) = X62
      & n7 = sum(n5,n2)
      & n3 = sum(n14,n5)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X66)))))))))))))))) = X97
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X120)))))))))))))))) = X68
      & n9 != n14
      & n7 = sum(n4,n3)
      & n8 = sum(n8,n0)
      & n8 = sum(n14,n10)
      & n3 = sum(n2,n1)
      & n2 != n8
      & n10 = sum(n14,n12)
      & n6 = pred(n7)
      & n15 = sum(n9,n6)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X74)))))))))))))))) = X15
      & n11 = sum(n13,n14)
      & n10 != n14
      & n0 != n3
      & n9 = pred(n10)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X1)))))))))))))))) = X79
      & n8 = sum(n11,n13)
      & n7 = pred(n8)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X20)))))))))))))))) = X90
      & n3 = sum(n10,n9)
      & n5 = sum(n4,n1)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X7)))))))))))))))) = X14
      & n7 = sum(n3,n4)
      & n9 = sum(n1,n8)
      & n2 = sum(n6,n12)
      & n1 != n6
      & sum(pred(X46),sum(succ(X83),sum(pred(X15),succ(X61)))) = X3
      & n9 = sum(n9,n0)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X6)))))))))))))))) = X35
      & succ(n13) = n14
      & n0 = succ(n15)
      & n0 = sum(n7,n9)
      & n13 = sum(n7,n6)
      & sum(pred(X28),sum(succ(X69),sum(pred(X47),succ(X33)))) = X74
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X48)))))))))))))))) = X103
      & n12 = sum(n9,n3)
      & sum(sum(pred(X120),succ(X101)),sum(pred(X101),succ(X120))) = X109
      & n7 != n10
      & n2 != n3
      & n6 != n8
      & n15 = sum(n4,n11)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X116)))))))))))))))) = X53
      & n4 = sum(n3,n1)
      & n11 = sum(n12,n15)
      & n4 = sum(n2,n2)
      & sum(pred(X99),sum(succ(X22),sum(pred(X96),succ(X49)))) = X56
      & n7 = sum(n15,n8)
      & n6 != n11
      & n11 = sum(n14,n13)
      & n4 != n9
      & sum(sum(pred(X109),succ(X64)),sum(pred(X64),succ(X109))) = X38
      & n8 = sum(n2,n6)
      & n12 = sum(n5,n7)
      & n11 != n13
      & sum(pred(X55),sum(succ(X35),sum(pred(X77),succ(X100)))) = X117
      & n13 = sum(n5,n8)
      & n11 = sum(n5,n6)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X110)))))))))))))))) = X4
      & n3 != n13
      & n8 = sum(n6,n2)
      & n2 != n12
      & n4 = sum(n1,n3)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X111)))))))))))))))) = X78
      & n15 = sum(n0,n15)
      & n2 = sum(n8,n10)
      & n5 != n12
      & n5 = sum(n15,n6)
      & n1 != n12
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X64)))))))))))))))) = X5
      & n1 != n4
      & n11 = sum(n11,n0)
      & n14 = sum(n4,n10)
      & ( n3 = X42
        | n0 = X42
        | n4 = X42
        | n14 = X42
        | n6 = X42
        | n1 = X42
        | n5 = X42
        | n11 = X42
        | n10 = X42
        | n2 = X42
        | n7 = X42
        | n15 = X42
        | n13 = X42
        | n9 = X42
        | n12 = X42
        | n8 = X42 )
      & n0 = sum(n8,n8)
      & n6 = sum(n13,n9)
      & n6 = sum(n15,n7)
      & n14 = sum(n7,n7)
      & n8 = sum(n15,n9)
      & n15 = sum(n6,n9)
      & n15 = sum(n5,n10)
      & n12 = sum(n3,n9)
      & n0 = sum(n9,n7)
      & n13 = pred(n14)
      & n5 = sum(n0,n5)
      & sum(sum(pred(X50),succ(X95)),sum(pred(X95),succ(X50))) = X88
      & n9 = sum(n7,n2)
      & n6 != n15
      & n1 != n11
      & n13 = sum(n11,n2)
      & n0 = sum(n6,n10)
      & n7 != n13
      & n1 != n7
      & n7 = sum(n7,n0)
      & sum(sum(pred(X30),succ(X117)),sum(pred(X117),succ(X30))) = X7
      & n1 = sum(n2,n15)
      & n13 = sum(n15,n14)
      & n4 != n11
      & sum(pred(X24),sum(succ(X11),sum(pred(X82),succ(X41)))) = X93
      & n6 = sum(n9,n13)
      & n3 != n11
      & n0 != n10
      & sum(pred(X14),sum(succ(X104),sum(pred(X16),succ(X79)))) = X70
      & n7 = sum(n14,n9)
      & n9 = sum(n8,n1)
      & n5 != n15
      & succ(n7) = n8
      & n1 = sum(n1,n0)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X84)))))))))))))))) = X100
      & n13 = sum(n9,n4)
      & n15 = sum(n15,n0)
      & n5 = sum(n13,n8)
      & n8 = pred(n9)
      & n1 = sum(n5,n12)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X92)))))))))))))))) = X99
      & n6 != n7
      & n1 = sum(n7,n10)
      & n11 = sum(n10,n1)
      & n9 != n11
      & n4 != n7
      & n9 = sum(n13,n12)
      & n7 = sum(n2,n5)
      & n10 != n12
      & n11 != n14
      & n8 = sum(n13,n11)
      & n8 = sum(n10,n14)
      & succ(n11) = n12
      & n12 = sum(n7,n5)
      & n2 != n9
      & n4 != n5
      & n5 != n10
      & n2 = sum(n2,n0)
      & n2 = sum(n15,n3)
      & n1 = sum(n15,n2)
      & n14 = sum(n1,n13)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X48)))))))))))))))) = X75
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X50)))))))))))))))) = X69
      & sum(sum(pred(X7),succ(X1)),sum(pred(X1),succ(X7))) = X13
      & sum(sum(pred(X42),succ(X34)),sum(pred(X34),succ(X42))) = X6
      & n12 = sum(n10,n2)
      & n15 = sum(n2,n13)
      & n1 != n9
      & n5 != n6
      & n5 = sum(n9,n12)
      & n7 = sum(n8,n15)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X109)))))))))))))))) = X8
      & n1 != n8
      & succ(n8) = n9
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X38)))))))))))))))) = X11
      & n0 = pred(n1)
      & n0 != n4
      & n10 = sum(n6,n4)
      & succ(n3) = n4
      & n2 != n13
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X93)))))))))))))))) = X9
      & n2 != n10
      & n5 != n14
      & n6 = sum(n7,n15)
      & succ(n0) = n1
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X119)))))))))))))))) = X27
      & n7 = sum(n0,n7)
      & n11 = sum(n3,n8)
      & succ(n5) = n6
      & n14 = sum(n11,n3)
      & n8 != n13
      & n0 != n2
      & succ(n1) = n2
      & n7 != n12
      & n1 != n13
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X42)))))))))))))))) = X85
      & n15 = sum(n11,n4)
      & n0 = sum(n13,n3)
      & n12 != n14
      & n9 != n15
      & sum(sum(pred(X38),succ(X71)),sum(pred(X71),succ(X38))) = X63
      & n4 = sum(n14,n6)
      & n0 != n14
      & n8 = sum(n12,n12)
      & n1 = sum(n4,n13)
      & n15 = sum(n12,n3)
      & sum(pred(X90),sum(succ(X58),sum(pred(X12),succ(X118)))) = X40
      & n0 = sum(n3,n13)
      & n5 != n7
      & n12 = sum(n1,n11)
      & n2 != n5
      & n7 != n14
      & sum(sum(pred(X13),succ(X70)),sum(pred(X70),succ(X13))) = X110
      & sum(pred(X27),sum(succ(X113),sum(pred(X51),succ(X53)))) = X121
      & n13 = sum(n4,n9)
      & n8 = sum(n5,n3)
      & sum(pred(X68),sum(succ(X32),sum(pred(X81),succ(X94)))) = X64
      & n0 != n6
      & n5 = sum(n6,n15)
      & n10 = sum(n1,n9)
      & n3 != n10
      & n10 = sum(n7,n3)
      & n12 = sum(n12,n0)
      & n1 = sum(n13,n4)
      & n8 != n12
      & n2 = sum(n13,n5)
      & n5 = sum(n7,n14)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X101)))))))))))))))) = X81
      & n1 = sum(n11,n6)
      & n10 = sum(n8,n2)
      & sum(pred(X17),sum(succ(X85),sum(pred(X105),succ(X67)))) = X84
      & n10 != n15
      & n1 = pred(n2)
      & n2 != n7
      & sum(pred(X107),sum(succ(X80),sum(pred(X89),succ(X91)))) = X1
      & n11 = sum(n6,n5)
      & n8 != n10
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X6)))))))))))))))) = X55
      & n2 = sum(n0,n2)
      & n14 != n15
      & n6 = sum(n12,n10)
      & n14 = sum(n9,n5)
      & n2 = sum(n1,n1)
      & n2 = sum(n7,n11)
      & n15 = sum(n1,n14)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X31)))))))))))))))) = X96
      & n12 = sum(n4,n8)
      & n12 = sum(n8,n4)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X121)))))))))))))))) = X10
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X92)))))))))))))))) = X22
      & n2 = sum(n14,n4)
      & n14 = pred(n15)
      & n1 = sum(n0,n1)
      & n0 = sum(n0,n0)
      & n6 != n14
      & n3 != n7
      & n0 != n7
      & n6 = sum(n3,n3)
      & n15 = sum(n14,n1)
      & n6 = sum(n6,n0)
      & n5 = sum(n2,n3)
      & n9 = sum(n5,n4)
      & n9 = sum(n14,n11)
      & n0 = sum(n11,n5)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X34)))))))))))))))) = X105
      & n6 = sum(n14,n8)
      & n6 = sum(n5,n1)
      & n12 = sum(n11,n1)
      & n0 = sum(n4,n12)
      & n0 != n12
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X31)))))))))))))))) = X49
      & sum(sum(pred(X92),succ(X31)),sum(pred(X31),succ(X92))) = X20
      & succ(n10) = n11 ),
    inference(rectify,[],[f1]) ).

fof(f1,axiom,
    ? [X78,X7,X21,X19,X64,X91,X2,X6,X90,X101,X107,X94,X121,X8,X56,X77,X57,X44,X35,X100,X38,X109,X114,X83,X96,X63,X18,X104,X72,X60,X4,X37,X86,X71,X1,X46,X99,X61,X26,X12,X41,X95,X0,X84,X81,X69,X76,X73,X32,X115,X14,X105,X82,X103,X111,X48,X39,X59,X118,X80,X67,X75,X40,X28,X25,X20,X11,X43,X88,X70,X9,X27,X110,X58,X17,X108,X62,X49,X112,X55,X50,X89,X97,X74,X3,X42,X93,X113,X16,X53,X120,X51,X36,X29,X87,X15,X117,X65,X98,X116,X47,X23,X92,X106,X54,X45,X13,X52,X68,X24,X10,X34,X66,X102,X85,X79,X31,X5,X119,X30,X22,X33] :
      ( sum(pred(X84),sum(succ(X82),sum(pred(X85),succ(X83)))) = X23
      & sum(pred(X64),sum(succ(X62),sum(pred(X65),succ(X63)))) = X13
      & sum(pred(X44),sum(succ(X42),sum(pred(X45),succ(X43)))) = X3
      & n13 = sum(n14,n15)
      & n4 != n7
      & n2 != n10
      & n4 = sum(n7,n13)
      & n10 = sum(n9,n1)
      & n2 = sum(n9,n9)
      & n4 = sum(n2,n2)
      & sum(pred(X108),sum(succ(X106),sum(pred(X109),succ(X107)))) = X35
      & n0 = sum(n15,n1)
      & n15 = sum(n1,n14)
      & n5 = sum(n12,n9)
      & sum(sum(pred(X22),succ(X23)),sum(pred(X23),succ(X22))) = X24
      & sum(sum(pred(X36),succ(X37)),sum(pred(X37),succ(X36))) = X38
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X11)))))))))))))))) = X63
      & n6 != n13
      & n13 = sum(n5,n8)
      & n15 = sum(n6,n9)
      & n9 = sum(n12,n13)
      & n6 != n7
      & n11 = sum(n9,n2)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X2)))))))))))))))) = X46
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X37)))))))))))))))) = X115
      & n5 = sum(n0,n5)
      & n3 = sum(n1,n2)
      & n2 != n7
      & sum(sum(pred(X8),succ(X9)),sum(pred(X9),succ(X8))) = X10
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X33)))))))))))))))) = X107
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X26)))))))))))))))) = X96
      & n0 = sum(n12,n4)
      & sum(sum(pred(X6),succ(X7)),sum(pred(X7),succ(X6))) = X8
      & n2 != n6
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X1)))))))))))))))) = X43
      & n2 = sum(n15,n3)
      & sum(sum(pred(X14),succ(X15)),sum(pred(X15),succ(X14))) = X16
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X5)))))))))))))))) = X53
      & n9 = sum(n7,n2)
      & n5 = sum(n15,n6)
      & n6 != n10
      & n2 = sum(n4,n14)
      & n1 != n3
      & n11 != n13
      & n4 = sum(n1,n3)
      & n12 = sum(n15,n13)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X21)))))))))))))))) = X83
      & sum(sum(pred(X24),succ(X25)),sum(pred(X25),succ(X24))) = X26
      & n13 = sum(n6,n7)
      & n10 = sum(n7,n3)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X36)))))))))))))))) = X116
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X23)))))))))))))))) = X87
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X1)))))))))))))))) = X45
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X37)))))))))))))))) = X117
      & sum(pred(X100),sum(succ(X98),sum(pred(X101),succ(X99)))) = X31
      & n10 = sum(n10,n0)
      & n1 = sum(n15,n2)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X15)))))))))))))))) = X73
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X31)))))))))))))))) = X103
      & n12 = sum(n9,n3)
      & n15 = sum(n11,n4)
      & n9 = sum(n9,n0)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X23)))))))))))))))) = X89
      & n14 = pred(n15)
      & n5 = pred(n6)
      & n8 = sum(n1,n7)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X26)))))))))))))))) = X94
      & n9 != n10
      & n1 != n15
      & n6 != n9
      & n8 != n12
      & n12 = sum(n2,n10)
      & n8 != n15
      & n7 = sum(n7,n0)
      & n1 != n4
      & sum(sum(pred(X18),succ(X19)),sum(pred(X19),succ(X18))) = X20
      & n0 = pred(n1)
      & n7 = sum(n8,n15)
      & n1 != n9
      & sum(sum(pred(X10),succ(X11)),sum(pred(X11),succ(X10))) = X12
      & n1 = sum(n10,n7)
      & n11 != n14
      & n5 = sum(n11,n10)
      & n3 != n9
      & n12 != n15
      & sum(pred(X88),sum(succ(X86),sum(pred(X89),succ(X87)))) = X25
      & n11 = sum(n4,n7)
      & n6 != n15
      & n2 = sum(n11,n7)
      & n2 != n8
      & sum(sum(pred(X0),succ(X1)),sum(pred(X1),succ(X0))) = X2
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X4)))))))))))))))) = X52
      & n0 != n3
      & n7 = sum(n10,n13)
      & n2 != n15
      & n7 != n8
      & n11 = sum(n13,n14)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X8)))))))))))))))) = X58
      & n4 != n11
      & sum(sum(pred(X2),succ(X3)),sum(pred(X3),succ(X2))) = X4
      & n13 = sum(n10,n3)
      & n14 = sum(n13,n1)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X20)))))))))))))))) = X82
      & n8 = sum(n2,n6)
      & n8 = sum(n4,n4)
      & n4 = sum(n11,n9)
      & n15 = sum(n8,n7)
      & n3 = sum(n0,n3)
      & n11 = sum(n12,n15)
      & n8 = sum(n15,n9)
      & n5 = sum(n13,n8)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X32)))))))))))))))) = X106
      & n3 = sum(n3,n0)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X29)))))))))))))))) = X101
      & n6 = sum(n5,n1)
      & succ(n8) = n9
      & n14 = sum(n0,n14)
      & n11 = sum(n2,n9)
      & n8 != n9
      & n15 = sum(n13,n2)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X38)))))))))))))))) = X118
      & n7 = sum(n15,n8)
      & n3 != n6
      & n10 = sum(n8,n2)
      & n7 != n13
      & n8 = sum(n11,n13)
      & n14 = sum(n14,n0)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X33)))))))))))))))) = X109
      & n7 != n12
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X25)))))))))))))))) = X93
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X11)))))))))))))))) = X65
      & n6 = sum(n0,n6)
      & n6 = sum(n10,n12)
      & n6 = sum(n4,n2)
      & n5 != n14
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X34)))))))))))))))) = X112
      & n1 = sum(n11,n6)
      & n0 = sum(n2,n14)
      & n11 = pred(n12)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X14)))))))))))))))) = X72
      & n0 = sum(n1,n15)
      & n7 != n9
      & n13 = sum(n11,n2)
      & n12 != n13
      & n0 != n14
      & n2 != n5
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X0)))))))))))))))) = X42
      & n0 = sum(n0,n0)
      & n3 = sum(n6,n13)
      & n14 = sum(n6,n8)
      & n2 = sum(n8,n10)
      & n10 != n12
      & n13 = sum(n12,n1)
      & n10 = sum(n15,n11)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X29)))))))))))))))) = X99
      & n4 = sum(n4,n0)
      & n4 = sum(n6,n14)
      & n4 != n5
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X28)))))))))))))))) = X100
      & n5 = sum(n10,n11)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X27)))))))))))))))) = X95
      & succ(n14) = n15
      & n13 = sum(n2,n11)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X12)))))))))))))))) = X68
      & n14 = sum(n3,n11)
      & n3 != n12
      & n8 != n11
      & n12 = sum(n13,n15)
      & n1 = sum(n1,n0)
      & n9 = sum(n3,n6)
      & n4 != n9
      & sum(pred(X56),sum(succ(X54),sum(pred(X57),succ(X55)))) = X9
      & n1 = sum(n0,n1)
      & n15 = sum(n4,n11)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X19)))))))))))))))) = X79
      & n0 = succ(n15)
      & n1 = sum(n9,n8)
      & n5 != n7
      & sum(pred(X104),sum(succ(X102),sum(pred(X105),succ(X103)))) = X33
      & n6 != n11
      & n4 = sum(n5,n15)
      & n3 != n4
      & sum(pred(X68),sum(succ(X66),sum(pred(X69),succ(X67)))) = X15
      & n9 = sum(n15,n10)
      & n15 = sum(n9,n6)
      & sum(pred(X52),sum(succ(X50),sum(pred(X53),succ(X51)))) = X7
      & n15 = sum(n15,n0)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X2)))))))))))))))) = X48
      & n3 = sum(n14,n5)
      & sum(pred(X112),sum(succ(X110),sum(pred(X113),succ(X111)))) = X37
      & sum(pred(X92),sum(succ(X90),sum(pred(X93),succ(X91)))) = X27
      & n10 = pred(n11)
      & sum(pred(X80),sum(succ(X78),sum(pred(X81),succ(X79)))) = X21
      & succ(n9) = n10
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X7)))))))))))))))) = X57
      & n1 != n8
      & succ(n12) = n13
      & sum(pred(X60),sum(succ(X58),sum(pred(X61),succ(X59)))) = X11
      & n1 != n11
      & n1 != n14
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X15)))))))))))))))) = X71
      & succ(n10) = n11
      & n0 != n2
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X32)))))))))))))))) = X108
      & n6 = sum(n2,n4)
      & n12 = sum(n10,n2)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X30)))))))))))))))) = X102
      & n9 = sum(n4,n5)
      & n8 != n14
      & n2 != n3
      & n1 = sum(n6,n11)
      & n5 = sum(n8,n13)
      & n3 = sum(n5,n14)
      & n8 != n10
      & n4 = sum(n14,n6)
      & n13 = pred(n14)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X24)))))))))))))))) = X92
      & n4 = sum(n15,n5)
      & n9 != n11
      & n11 = sum(n11,n0)
      & n1 = sum(n3,n14)
      & n3 = sum(n9,n10)
      & n0 != n1
      & n3 != n7
      & succ(n11) = n12
      & n10 != n11
      & n5 != n12
      & sum(pred(X48),sum(succ(X46),sum(pred(X49),succ(X47)))) = X5
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X6)))))))))))))))) = X54
      & n10 = sum(n5,n5)
      & n2 != n13
      & n6 = sum(n15,n7)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X9)))))))))))))))) = X61
      & n8 = sum(n12,n12)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X19)))))))))))))))) = X81
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X7)))))))))))))))) = X55
      & n0 = sum(n11,n5)
      & n10 = sum(n4,n6)
      & n4 != n15
      & n0 != n13
      & n5 = sum(n3,n2)
      & n7 = sum(n4,n3)
      & n2 != n9
      & n9 = sum(n13,n12)
      & n10 = sum(n0,n10)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X14)))))))))))))))) = X70
      & sum(sum(pred(X26),succ(X27)),sum(pred(X27),succ(X26))) = X28
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X35)))))))))))))))) = X113
      & sum(sum(pred(X38),succ(X39)),sum(pred(X39),succ(X38))) = X40
      & n6 = sum(n7,n15)
      & n1 != n10
      & succ(n1) = n2
      & n6 = sum(n11,n11)
      & n8 = pred(n9)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X16)))))))))))))))) = X74
      & n13 = sum(n15,n14)
      & n3 = sum(n12,n7)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X9)))))))))))))))) = X59
      & n5 = sum(n1,n4)
      & n9 = sum(n0,n9)
      & n7 != n11
      & n12 = sum(n12,n0)
      & n3 != n10
      & n0 != n4
      & n9 != n12
      & n6 = sum(n6,n0)
      & n4 = sum(n12,n8)
      & n9 = sum(n6,n3)
      & n7 = pred(n8)
      & n2 = sum(n7,n11)
      & n6 = pred(n7)
      & n3 = sum(n13,n6)
      & n3 = pred(n4)
      & n12 = sum(n4,n8)
      & n12 = sum(n6,n6)
      & n5 != n8
      & n0 != n15
      & n4 = pred(n5)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X13)))))))))))))))) = X69
      & n3 = sum(n4,n15)
      & sum(sum(pred(X32),succ(X33)),sum(pred(X33),succ(X32))) = X34
      & n11 != n15
      & n14 = sum(n10,n4)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X17)))))))))))))))) = X75
      & n2 = pred(n3)
      & n8 = sum(n7,n1)
      & n5 = sum(n9,n12)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X8)))))))))))))))) = X60
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X18)))))))))))))))) = X80
      & n12 = sum(n8,n4)
      & n2 = sum(n1,n1)
      & sum(pred(X72),sum(succ(X70),sum(pred(X73),succ(X71)))) = X17
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X22)))))))))))))))) = X88
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X3)))))))))))))))) = X47
      & n14 = sum(n15,n15)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X35)))))))))))))))) = X111
      & n15 = sum(n14,n1)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X0)))))))))))))))) = X44
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X39)))))))))))))))) = X119
      & n4 = sum(n9,n11)
      & n14 = sum(n1,n13)
      & n0 = sum(n6,n10)
      & n10 = sum(n11,n15)
      & n2 = sum(n2,n0)
      & n15 = sum(n2,n13)
      & n12 = sum(n0,n12)
      & n15 = sum(n5,n10)
      & n7 = sum(n9,n14)
      & n8 = sum(n9,n15)
      & n10 = sum(n3,n7)
      & n9 = sum(n10,n15)
      & sum(sum(pred(X34),succ(X35)),sum(pred(X35),succ(X34))) = X36
      & sum(pred(X116),sum(succ(X114),sum(pred(X117),succ(X115)))) = X39
      & n6 = sum(n12,n10)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X36)))))))))))))))) = X114
      & n9 = sum(n2,n7)
      & n2 = sum(n13,n5)
      & n6 = sum(n9,n13)
      & n5 = sum(n6,n15)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X5)))))))))))))))) = X51
      & n5 = sum(n2,n3)
      & n10 = sum(n1,n9)
      & n0 != n12
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X22)))))))))))))))) = X86
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X25)))))))))))))))) = X91
      & n11 = sum(n3,n8)
      & n9 != n13
      & n8 = sum(n14,n10)
      & n7 = sum(n2,n5)
      & n15 = sum(n7,n8)
      & n5 != n13
      & n4 != n14
      & n6 != n12
      & n2 = sum(n3,n15)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X3)))))))))))))))) = X49
      & n2 != n4
      & n15 = sum(n10,n5)
      & n0 != n5
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X34)))))))))))))))) = X110
      & n6 = sum(n8,n14)
      & n5 != n15
      & n7 = sum(n14,n9)
      & n7 = sum(n11,n12)
      & n3 != n5
      & succ(n2) = n3
      & n15 = pred(n0)
      & n3 != n13
      & n6 = sum(n14,n8)
      & n0 != n11
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X6)))))))))))))))) = X56
      & n2 = sum(n0,n2)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X38)))))))))))))))) = X120
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X16)))))))))))))))) = X76
      & n2 != n12
      & n3 = sum(n7,n12)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X4)))))))))))))))) = X50
      & n5 = sum(n4,n1)
      & n1 = sum(n2,n15)
      & n9 = pred(n10)
      & n3 != n15
      & n7 != n10
      & n12 = sum(n11,n1)
      & n4 != n6
      & succ(n3) = n4
      & n2 = sum(n10,n8)
      & n1 != n2
      & n7 = sum(n1,n6)
      & n13 = sum(n8,n5)
      & sum(sum(pred(X12),succ(X13)),sum(pred(X13),succ(X12))) = X14
      & n8 = sum(n5,n3)
      & n12 != n14
      & n11 = sum(n0,n11)
      & n7 = sum(n3,n4)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X18)))))))))))))))) = X78
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X20)))))))))))))))) = X84
      & n1 = sum(n7,n10)
      & n9 != n14
      & n2 != n11
      & n1 = pred(n2)
      & n3 = sum(n8,n11)
      & n13 = sum(n1,n12)
      & n0 != n9
      & n1 != n5
      & n4 = sum(n10,n10)
      & n7 = sum(n6,n1)
      & n9 != n15
      & sum(sum(pred(X16),succ(X17)),sum(pred(X17),succ(X16))) = X18
      & n0 = sum(n8,n8)
      & n5 != n10
      & sum(sum(pred(X4),succ(X5)),sum(pred(X5),succ(X4))) = X6
      & n10 != n13
      & n14 != n15
      & n10 != n15
      & n1 != n7
      & n14 = sum(n9,n5)
      & n0 = sum(n3,n13)
      & n12 = sum(n3,n9)
      & n12 = sum(n1,n11)
      & n5 != n11
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X13)))))))))))))))) = X67
      & sum(sum(pred(X28),succ(X29)),sum(pred(X29),succ(X28))) = X30
      & n1 = sum(n13,n4)
      & n2 = sum(n14,n4)
      & n7 != n14
      & n11 = sum(n6,n5)
      & n0 = sum(n14,n2)
      & n14 = sum(n2,n12)
      & n4 != n8
      & n0 = sum(n13,n3)
      & n13 = sum(n4,n9)
      & n4 = sum(n3,n1)
      & n13 = sum(n3,n10)
      & n7 = sum(n13,n10)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X30)))))))))))))))) = X104
      & n6 = sum(n3,n3)
      & n14 = sum(n5,n9)
      & sum(sum(pred(X20),succ(X21)),sum(pred(X21),succ(X20))) = X22
      & n11 = sum(n5,n6)
      & n7 = sum(n12,n11)
      & succ(n7) = n8
      & n9 = sum(n14,n11)
      & n0 != n7
      & n12 = sum(n5,n7)
      & n0 != n6
      & n1 != n13
      & n1 = sum(n12,n5)
      & succ(n5) = n6
      & n15 = sum(n0,n15)
      & n12 = pred(n13)
      & succ(n13) = n14
      & n12 = sum(n7,n5)
      & n13 != n15
      & n5 = sum(n5,n0)
      & n13 = sum(n13,n0)
      & n7 = sum(n0,n7)
      & n14 = sum(n7,n7)
      & n0 = sum(n7,n9)
      & n8 = sum(n8,n0)
      & n3 != n14
      & n6 != n8
      & n10 = sum(n2,n8)
      & sum(sum(pred(X30),succ(X31)),sum(pred(X31),succ(X30))) = X32
      & sum(pred(X96),sum(succ(X94),sum(pred(X97),succ(X95)))) = X29
      & n0 = sum(n4,n12)
      & n8 = sum(n3,n5)
      & n9 = sum(n11,n14)
      & n3 = sum(n10,n9)
      & n4 = sum(n0,n4)
      & n13 = sum(n7,n6)
      & n3 = sum(n15,n4)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X21)))))))))))))))) = X85
      & n12 = sum(n14,n14)
      & n0 = sum(n9,n7)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X31)))))))))))))))) = X105
      & n10 != n14
      & n0 != n8
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X24)))))))))))))))) = X90
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X10)))))))))))))))) = X64
      & n4 != n12
      & n1 = sum(n8,n9)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X12)))))))))))))))) = X66
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X27)))))))))))))))) = X97
      & n0 != n10
      & n1 != n12
      & n14 = sum(n11,n3)
      & n2 = sum(n6,n12)
      & n6 = sum(n1,n5)
      & n10 = sum(n14,n12)
      & n9 = sum(n1,n8)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X17)))))))))))))))) = X77
      & ( X34 != X35
        | X36 != X37
        | X40 != X41
        | X38 != X39 )
      & n1 = sum(n4,n13)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X39)))))))))))))))) = X121
      & succ(n6) = n7
      & n6 = sum(n13,n9)
      & n11 != n12
      & n3 != n8
      & n10 = sum(n13,n13)
      & n8 = sum(n10,n14)
      & n1 != n6
      & n14 = sum(n4,n10)
      & n1 = sum(n14,n3)
      & n2 = sum(n5,n13)
      & n4 != n10
      & n4 != n13
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X28)))))))))))))))) = X98
      & n8 = sum(n0,n8)
      & succ(n0) = n1
      & n4 = sum(n8,n12)
      & n8 = sum(n6,n2)
      & succ(n4) = n5
      & n11 = sum(n7,n4)
      & n8 = sum(n13,n11)
      & ( n12 = X0
        | n15 = X0
        | n4 = X0
        | n10 = X0
        | n11 = X0
        | n6 = X0
        | n9 = X0
        | n13 = X0
        | n8 = X0
        | n1 = X0
        | n5 = X0
        | n7 = X0
        | n2 = X0
        | n14 = X0
        | n0 = X0
        | n3 = X0 )
      & sum(pred(X120),sum(succ(X118),sum(pred(X121),succ(X119)))) = X41
      & n0 = sum(n10,n6)
      & n9 = sum(n5,n4)
      & n9 = sum(n8,n1)
      & n6 != n14
      & n14 = sum(n12,n2)
      & ( n11 = X1
        | n2 = X1
        | n7 = X1
        | n0 = X1
        | n5 = X1
        | n10 = X1
        | n14 = X1
        | n15 = X1
        | n13 = X1
        | n4 = X1
        | n1 = X1
        | n8 = X1
        | n12 = X1
        | n6 = X1
        | n3 = X1
        | n9 = X1 )
      & n5 = sum(n7,n14)
      & n5 = sum(n14,n7)
      & n11 = sum(n14,n13)
      & n3 != n11
      & n3 = sum(n11,n8)
      & sum(pred(X76),sum(succ(X74),sum(pred(X77),succ(X75)))) = X19
      & n10 = sum(n6,n4)
      & n5 != n9
      & n7 != n15
      & n8 != n13
      & n0 = sum(n5,n11)
      & n2 != n14
      & n11 = sum(n15,n12)
      & n1 = sum(n5,n12)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X10)))))))))))))))) = X62
      & n10 = sum(n12,n14)
      & n7 = sum(n5,n2)
      & n4 = sum(n13,n7)
      & n3 = sum(n2,n1)
      & n15 = sum(n3,n12)
      & n13 = sum(n0,n13)
      & n15 = sum(n12,n3)
      & n13 = sum(n9,n4)
      & n13 != n14
      & n11 = sum(n8,n3)
      & n14 = sum(n8,n6)
      & n11 = sum(n1,n10)
      & n5 != n6
      & n11 = sum(n10,n1)
      & n2 = sum(n12,n6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

fof(f3315,plain,
    ~ spl122_563,
    inference(avatar_split_clause,[],[f122,f3312]) ).

fof(f3312,plain,
    ( spl122_563
  <=> n5 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_563])]) ).

fof(f122,plain,
    n5 != n10,
    inference(cnf_transformation,[],[f2]) ).

fof(f3310,plain,
    ~ spl122_562,
    inference(avatar_split_clause,[],[f469,f3307]) ).

fof(f3307,plain,
    ( spl122_562
  <=> n12 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_562])]) ).

fof(f469,plain,
    n12 != n15,
    inference(cnf_transformation,[],[f2]) ).

fof(f3305,plain,
    ~ spl122_561,
    inference(avatar_split_clause,[],[f367,f3302]) ).

fof(f3302,plain,
    ( spl122_561
  <=> n0 = n5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_561])]) ).

fof(f367,plain,
    n0 != n5,
    inference(cnf_transformation,[],[f2]) ).

fof(f3300,plain,
    ~ spl122_560,
    inference(avatar_split_clause,[],[f165,f3297]) ).

fof(f3297,plain,
    ( spl122_560
  <=> n6 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_560])]) ).

fof(f165,plain,
    n6 != n15,
    inference(cnf_transformation,[],[f2]) ).

fof(f3295,plain,
    ~ spl122_559,
    inference(avatar_split_clause,[],[f54,f3292]) ).

fof(f3292,plain,
    ( spl122_559
  <=> n8 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_559])]) ).

fof(f54,plain,
    n8 != n12,
    inference(cnf_transformation,[],[f2]) ).

fof(f3290,plain,
    spl122_558,
    inference(avatar_split_clause,[],[f314,f3287]) ).

fof(f3287,plain,
    ( spl122_558
  <=> n2 = sum(n4,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_558])]) ).

fof(f314,plain,
    n2 = sum(n4,n14),
    inference(cnf_transformation,[],[f2]) ).

fof(f3285,plain,
    spl122_557,
    inference(avatar_split_clause,[],[f226,f3282]) ).

fof(f3282,plain,
    ( spl122_557
  <=> n2 = sum(n6,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_557])]) ).

fof(f226,plain,
    n2 = sum(n6,n12),
    inference(cnf_transformation,[],[f2]) ).

fof(f3280,plain,
    spl122_556,
    inference(avatar_split_clause,[],[f312,f3277]) ).

fof(f3277,plain,
    ( spl122_556
  <=> sK14 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK38)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_556])]) ).

fof(f312,plain,
    sK14 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK38)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f3275,plain,
    ~ spl122_555,
    inference(avatar_split_clause,[],[f134,f3272]) ).

fof(f3272,plain,
    ( spl122_555
  <=> n9 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_555])]) ).

fof(f134,plain,
    n9 != n11,
    inference(cnf_transformation,[],[f2]) ).

fof(f3270,plain,
    spl122_554,
    inference(avatar_split_clause,[],[f362,f3267]) ).

fof(f3267,plain,
    ( spl122_554
  <=> n9 = sum(n12,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_554])]) ).

fof(f362,plain,
    n9 = sum(n12,n13),
    inference(cnf_transformation,[],[f2]) ).

fof(f3265,plain,
    ~ spl122_553,
    inference(avatar_split_clause,[],[f321,f3262]) ).

fof(f3262,plain,
    ( spl122_553
  <=> n3 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_553])]) ).

fof(f321,plain,
    n3 != n9,
    inference(cnf_transformation,[],[f2]) ).

fof(f3260,plain,
    ~ spl122_552,
    inference(avatar_split_clause,[],[f379,f3257]) ).

fof(f3257,plain,
    ( spl122_552
  <=> n4 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_552])]) ).

fof(f379,plain,
    n4 != n13,
    inference(cnf_transformation,[],[f2]) ).

fof(f3255,plain,
    spl122_551,
    inference(avatar_split_clause,[],[f406,f3252]) ).

fof(f3252,plain,
    ( spl122_551
  <=> n12 = sum(n13,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_551])]) ).

fof(f406,plain,
    n12 = sum(n13,n15),
    inference(cnf_transformation,[],[f2]) ).

fof(f3250,plain,
    spl122_550,
    inference(avatar_split_clause,[],[f492,f3247]) ).

fof(f3247,plain,
    ( spl122_550
  <=> n5 = sum(n1,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_550])]) ).

fof(f492,plain,
    n5 = sum(n1,n4),
    inference(cnf_transformation,[],[f2]) ).

fof(f3245,plain,
    spl122_549,
    inference(avatar_split_clause,[],[f31,f3242]) ).

fof(f3242,plain,
    ( spl122_549
  <=> n12 = sum(n8,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_549])]) ).

fof(f31,plain,
    n12 = sum(n8,n4),
    inference(cnf_transformation,[],[f2]) ).

fof(f3240,plain,
    ~ spl122_548,
    inference(avatar_split_clause,[],[f510,f3237]) ).

fof(f3237,plain,
    ( spl122_548
  <=> n10 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_548])]) ).

fof(f510,plain,
    n10 != n13,
    inference(cnf_transformation,[],[f2]) ).

fof(f3235,plain,
    spl122_547,
    inference(avatar_split_clause,[],[f311,f3232]) ).

fof(f3232,plain,
    ( spl122_547
  <=> sK90 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK71)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_547])]) ).

fof(f311,plain,
    sK90 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK71)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f3230,plain,
    ~ spl122_546,
    inference(avatar_split_clause,[],[f129,f3227]) ).

fof(f3227,plain,
    ( spl122_546
  <=> n11 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_546])]) ).

fof(f129,plain,
    n11 != n14,
    inference(cnf_transformation,[],[f2]) ).

fof(f3225,plain,
    spl122_545,
    inference(avatar_split_clause,[],[f345,f3222]) ).

fof(f3222,plain,
    ( spl122_545
  <=> n4 = sum(n9,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_545])]) ).

fof(f345,plain,
    n4 = sum(n9,n11),
    inference(cnf_transformation,[],[f2]) ).

fof(f3220,plain,
    spl122_544,
    inference(avatar_split_clause,[],[f257,f3217]) ).

fof(f3217,plain,
    ( spl122_544
  <=> n11 = sum(n2,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_544])]) ).

fof(f257,plain,
    n11 = sum(n2,n9),
    inference(cnf_transformation,[],[f2]) ).

fof(f3215,plain,
    spl122_543,
    inference(avatar_split_clause,[],[f399,f3212]) ).

fof(f3212,plain,
    ( spl122_543
  <=> n15 = sum(n8,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_543])]) ).

fof(f399,plain,
    n15 = sum(n8,n7),
    inference(cnf_transformation,[],[f2]) ).

fof(f3210,plain,
    ~ spl122_542,
    inference(avatar_split_clause,[],[f152,f3207]) ).

fof(f3207,plain,
    ( spl122_542
  <=> n3 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_542])]) ).

fof(f152,plain,
    n3 != n11,
    inference(cnf_transformation,[],[f2]) ).

fof(f3205,plain,
    spl122_541,
    inference(avatar_split_clause,[],[f17,f3202]) ).

fof(f3202,plain,
    ( spl122_541
  <=> n9 = sum(n5,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_541])]) ).

fof(f17,plain,
    n9 = sum(n5,n4),
    inference(cnf_transformation,[],[f2]) ).

fof(f3200,plain,
    spl122_540,
    inference(avatar_split_clause,[],[f278,f3197]) ).

fof(f3197,plain,
    ( spl122_540
  <=> n14 = sum(n6,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_540])]) ).

fof(f278,plain,
    n14 = sum(n6,n8),
    inference(cnf_transformation,[],[f2]) ).

fof(f3195,plain,
    spl122_539,
    inference(avatar_split_clause,[],[f421,f3192]) ).

fof(f3192,plain,
    ( spl122_539
  <=> succ(n6) = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_539])]) ).

fof(f421,plain,
    succ(n6) = n7,
    inference(cnf_transformation,[],[f2]) ).

fof(f3190,plain,
    spl122_538,
    inference(avatar_split_clause,[],[f153,f3187]) ).

fof(f3187,plain,
    ( spl122_538
  <=> n6 = sum(n9,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_538])]) ).

fof(f153,plain,
    n6 = sum(n9,n13),
    inference(cnf_transformation,[],[f2]) ).

fof(f3185,plain,
    spl122_537,
    inference(avatar_split_clause,[],[f214,f3182]) ).

fof(f3182,plain,
    ( spl122_537
  <=> sK98 = sum(sum(pred(sK108),succ(sK65)),sum(pred(sK65),succ(sK108))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_537])]) ).

fof(f214,plain,
    sK98 = sum(sum(pred(sK108),succ(sK65)),sum(pred(sK65),succ(sK108))),
    inference(cnf_transformation,[],[f2]) ).

fof(f3180,plain,
    spl122_536,
    inference(avatar_split_clause,[],[f498,f3177]) ).

fof(f3177,plain,
    ( spl122_536
  <=> n2 = sum(n11,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_536])]) ).

fof(f498,plain,
    n2 = sum(n11,n7),
    inference(cnf_transformation,[],[f2]) ).

fof(f3175,plain,
    spl122_535,
    inference(avatar_split_clause,[],[f141,f3172]) ).

fof(f3172,plain,
    ( spl122_535
  <=> n5 = sum(n13,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_535])]) ).

fof(f141,plain,
    n5 = sum(n13,n8),
    inference(cnf_transformation,[],[f2]) ).

fof(f3170,plain,
    spl122_534,
    inference(avatar_split_clause,[],[f380,f3167]) ).

fof(f3167,plain,
    ( spl122_534
  <=> n3 = sum(n13,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_534])]) ).

fof(f380,plain,
    n3 = sum(n13,n6),
    inference(cnf_transformation,[],[f2]) ).

fof(f3165,plain,
    ~ spl122_533,
    inference(avatar_split_clause,[],[f418,f3162]) ).

fof(f3162,plain,
    ( spl122_533
  <=> n7 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_533])]) ).

fof(f418,plain,
    n7 != n15,
    inference(cnf_transformation,[],[f2]) ).

fof(f3160,plain,
    ~ spl122_532,
    inference(avatar_split_clause,[],[f249,f3157]) ).

fof(f3157,plain,
    ( spl122_532
  <=> n9 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_532])]) ).

fof(f249,plain,
    n9 != n14,
    inference(cnf_transformation,[],[f2]) ).

fof(f3155,plain,
    ~ spl122_531,
    inference(avatar_split_clause,[],[f444,f3152]) ).

fof(f3152,plain,
    ( spl122_531
  <=> n3 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_531])]) ).

fof(f444,plain,
    n3 != n8,
    inference(cnf_transformation,[],[f2]) ).

fof(f3150,plain,
    ~ spl122_530,
    inference(avatar_split_clause,[],[f432,f3147]) ).

fof(f3147,plain,
    ( spl122_530
  <=> n8 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_530])]) ).

fof(f432,plain,
    n8 != n11,
    inference(cnf_transformation,[],[f2]) ).

fof(f3145,plain,
    ~ spl122_529,
    inference(avatar_split_clause,[],[f130,f3142]) ).

fof(f3142,plain,
    ( spl122_529
  <=> n10 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_529])]) ).

fof(f130,plain,
    n10 != n12,
    inference(cnf_transformation,[],[f2]) ).

fof(f3140,plain,
    spl122_528,
    inference(avatar_split_clause,[],[f355,f3137]) ).

fof(f3137,plain,
    ( spl122_528
  <=> n13 = sum(n8,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_528])]) ).

fof(f355,plain,
    n13 = sum(n8,n5),
    inference(cnf_transformation,[],[f2]) ).

fof(f3135,plain,
    spl122_527,
    inference(avatar_split_clause,[],[f445,f3132]) ).

fof(f3132,plain,
    ( spl122_527
  <=> n3 = sum(n15,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_527])]) ).

fof(f445,plain,
    n3 = sum(n15,n4),
    inference(cnf_transformation,[],[f2]) ).

fof(f3130,plain,
    spl122_526,
    inference(avatar_split_clause,[],[f204,f3127]) ).

fof(f3127,plain,
    ( spl122_526
  <=> n7 = sum(n15,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_526])]) ).

fof(f204,plain,
    n7 = sum(n15,n8),
    inference(cnf_transformation,[],[f2]) ).

fof(f3125,plain,
    ~ spl122_525,
    inference(avatar_split_clause,[],[f476,f3122]) ).

fof(f3122,plain,
    ( spl122_525
  <=> n9 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_525])]) ).

fof(f476,plain,
    n9 != n12,
    inference(cnf_transformation,[],[f2]) ).

fof(f3120,plain,
    spl122_524,
    inference(avatar_split_clause,[],[f43,f3117]) ).

fof(f3117,plain,
    ( spl122_524
  <=> n11 = sum(n6,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_524])]) ).

fof(f43,plain,
    n11 = sum(n6,n5),
    inference(cnf_transformation,[],[f2]) ).

fof(f3115,plain,
    spl122_523,
    inference(avatar_split_clause,[],[f419,f3112]) ).

fof(f3112,plain,
    ( spl122_523
  <=> sum(pred(sK8),sum(succ(sK87),sum(pred(sK84),succ(sK117)))) = sK30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_523])]) ).

fof(f419,plain,
    sum(pred(sK8),sum(succ(sK87),sum(pred(sK84),succ(sK117)))) = sK30,
    inference(cnf_transformation,[],[f2]) ).

fof(f3110,plain,
    ~ spl122_522,
    inference(avatar_split_clause,[],[f524,f3107]) ).

fof(f3107,plain,
    ( spl122_522
  <=> n9 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_522])]) ).

fof(f524,plain,
    n9 != n13,
    inference(cnf_transformation,[],[f2]) ).

fof(f3105,plain,
    spl122_521,
    inference(avatar_split_clause,[],[f81,f3102]) ).

fof(f3102,plain,
    ( spl122_521
  <=> n0 = sum(n13,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_521])]) ).

fof(f81,plain,
    n0 = sum(n13,n3),
    inference(cnf_transformation,[],[f2]) ).

fof(f3100,plain,
    spl122_520,
    inference(avatar_split_clause,[],[f194,f3097]) ).

fof(f3097,plain,
    ( spl122_520
  <=> n11 = sum(n5,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_520])]) ).

fof(f194,plain,
    n11 = sum(n5,n6),
    inference(cnf_transformation,[],[f2]) ).

fof(f3095,plain,
    spl122_519,
    inference(avatar_split_clause,[],[f156,f3092]) ).

fof(f3092,plain,
    ( spl122_519
  <=> n13 = sum(n15,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_519])]) ).

fof(f156,plain,
    n13 = sum(n15,n14),
    inference(cnf_transformation,[],[f2]) ).

fof(f3090,plain,
    ~ spl122_518,
    inference(avatar_split_clause,[],[f277,f3087]) ).

fof(f3087,plain,
    ( spl122_518
  <=> n4 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_518])]) ).

fof(f277,plain,
    n4 != n10,
    inference(cnf_transformation,[],[f2]) ).

fof(f3085,plain,
    spl122_517,
    inference(avatar_split_clause,[],[f493,f3082]) ).

fof(f3082,plain,
    ( spl122_517
  <=> n5 = sum(n14,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_517])]) ).

fof(f493,plain,
    n5 = sum(n14,n7),
    inference(cnf_transformation,[],[f2]) ).

fof(f3080,plain,
    spl122_516,
    inference(avatar_split_clause,[],[f167,f3077]) ).

fof(f3077,plain,
    ( spl122_516
  <=> sK103 = sum(sum(pred(sK47),succ(sK30)),sum(pred(sK30),succ(sK47))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_516])]) ).

fof(f167,plain,
    sK103 = sum(sum(pred(sK47),succ(sK30)),sum(pred(sK30),succ(sK47))),
    inference(cnf_transformation,[],[f2]) ).

fof(f3075,plain,
    spl122_515,
    inference(avatar_split_clause,[],[f449,f3072]) ).

fof(f3072,plain,
    ( spl122_515
  <=> n9 = sum(n15,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_515])]) ).

fof(f449,plain,
    n9 = sum(n15,n10),
    inference(cnf_transformation,[],[f2]) ).

fof(f3070,plain,
    spl122_514,
    inference(avatar_split_clause,[],[f242,f3067]) ).

fof(f3067,plain,
    ( spl122_514
  <=> n6 = pred(n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_514])]) ).

fof(f242,plain,
    n6 = pred(n7),
    inference(cnf_transformation,[],[f2]) ).

fof(f3065,plain,
    spl122_513,
    inference(avatar_split_clause,[],[f481,f3062]) ).

fof(f3062,plain,
    ( spl122_513
  <=> n13 = sum(n13,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_513])]) ).

fof(f481,plain,
    n13 = sum(n13,n0),
    inference(cnf_transformation,[],[f2]) ).

fof(f3060,plain,
    spl122_512,
    inference(avatar_split_clause,[],[f398,f3057]) ).

fof(f3057,plain,
    ( spl122_512
  <=> pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK60)))))))))))))))) = sK41 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_512])]) ).

fof(f398,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK60)))))))))))))))) = sK41,
    inference(cnf_transformation,[],[f2]) ).

fof(f3055,plain,
    spl122_511,
    inference(avatar_split_clause,[],[f381,f3052]) ).

fof(f3052,plain,
    ( spl122_511
  <=> n6 = sum(n4,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_511])]) ).

fof(f381,plain,
    n6 = sum(n4,n2),
    inference(cnf_transformation,[],[f2]) ).

fof(f3050,plain,
    spl122_510,
    inference(avatar_split_clause,[],[f523,f3047]) ).

fof(f3047,plain,
    ( spl122_510
  <=> n15 = sum(n7,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_510])]) ).

fof(f523,plain,
    n15 = sum(n7,n8),
    inference(cnf_transformation,[],[f2]) ).

fof(f3045,plain,
    spl122_509,
    inference(avatar_split_clause,[],[f215,f3042]) ).

fof(f3042,plain,
    ( spl122_509
  <=> n12 = sum(n9,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_509])]) ).

fof(f215,plain,
    n12 = sum(n9,n3),
    inference(cnf_transformation,[],[f2]) ).

fof(f3040,plain,
    spl122_508,
    inference(avatar_split_clause,[],[f295,f3037]) ).

fof(f3037,plain,
    ( spl122_508
  <=> sK93 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK37)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_508])]) ).

fof(f295,plain,
    sK93 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK37)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f3035,plain,
    spl122_507,
    inference(avatar_split_clause,[],[f13,f3032]) ).

fof(f3032,plain,
    ( spl122_507
  <=> n6 = sum(n14,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_507])]) ).

fof(f13,plain,
    n6 = sum(n14,n8),
    inference(cnf_transformation,[],[f2]) ).

fof(f3030,plain,
    ~ spl122_506,
    inference(avatar_split_clause,[],[f522,f3027]) ).

fof(f3027,plain,
    ( spl122_506
  <=> n1 = n3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_506])]) ).

fof(f522,plain,
    n1 != n3,
    inference(cnf_transformation,[],[f2]) ).

fof(f3025,plain,
    spl122_505,
    inference(avatar_split_clause,[],[f428,f3022]) ).

fof(f3022,plain,
    ( spl122_505
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK37)))))))))))))))) = sK27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_505])]) ).

fof(f428,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK37)))))))))))))))) = sK27,
    inference(cnf_transformation,[],[f2]) ).

fof(f3020,plain,
    spl122_504,
    inference(avatar_split_clause,[],[f302,f3017]) ).

fof(f3017,plain,
    ( spl122_504
  <=> n11 = sum(n9,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_504])]) ).

fof(f302,plain,
    n11 = sum(n9,n2),
    inference(cnf_transformation,[],[f2]) ).

fof(f3015,plain,
    spl122_503,
    inference(avatar_split_clause,[],[f234,f3012]) ).

fof(f3012,plain,
    ( spl122_503
  <=> n8 = sum(n11,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_503])]) ).

fof(f234,plain,
    n8 = sum(n11,n13),
    inference(cnf_transformation,[],[f2]) ).

fof(f3010,plain,
    spl122_502,
    inference(avatar_split_clause,[],[f304,f3007]) ).

fof(f3007,plain,
    ( spl122_502
  <=> n10 = sum(n10,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_502])]) ).

fof(f304,plain,
    n10 = sum(n10,n0),
    inference(cnf_transformation,[],[f2]) ).

fof(f3005,plain,
    spl122_501,
    inference(avatar_split_clause,[],[f159,f3002]) ).

fof(f3002,plain,
    ( spl122_501
  <=> n7 = sum(n7,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_501])]) ).

fof(f159,plain,
    n7 = sum(n7,n0),
    inference(cnf_transformation,[],[f2]) ).

fof(f3000,plain,
    spl122_500,
    inference(avatar_split_clause,[],[f191,f2997]) ).

fof(f2997,plain,
    ( spl122_500
  <=> n8 = sum(n6,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_500])]) ).

fof(f191,plain,
    n8 = sum(n6,n2),
    inference(cnf_transformation,[],[f2]) ).

fof(f2995,plain,
    ~ spl122_499,
    inference(avatar_split_clause,[],[f85,f2992]) ).

fof(f2992,plain,
    ( spl122_499
  <=> n7 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_499])]) ).

fof(f85,plain,
    n7 != n12,
    inference(cnf_transformation,[],[f2]) ).

fof(f2990,plain,
    ~ spl122_498,
    inference(avatar_split_clause,[],[f478,f2987]) ).

fof(f2987,plain,
    ( spl122_498
  <=> n5 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_498])]) ).

fof(f478,plain,
    n5 != n9,
    inference(cnf_transformation,[],[f2]) ).

fof(f2985,plain,
    spl122_497,
    inference(avatar_split_clause,[],[f528,f2982]) ).

fof(f2982,plain,
    ( spl122_497
  <=> n15 = sum(n13,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_497])]) ).

fof(f528,plain,
    n15 = sum(n13,n2),
    inference(cnf_transformation,[],[f2]) ).

fof(f2980,plain,
    spl122_496,
    inference(avatar_split_clause,[],[f385,f2977]) ).

fof(f2977,plain,
    ( spl122_496
  <=> pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK91)))))))))))))))) = sK73 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_496])]) ).

fof(f385,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK91)))))))))))))))) = sK73,
    inference(cnf_transformation,[],[f2]) ).

fof(f2975,plain,
    spl122_495,
    inference(avatar_split_clause,[],[f489,f2972]) ).

fof(f2972,plain,
    ( spl122_495
  <=> n12 = sum(n0,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_495])]) ).

fof(f489,plain,
    n12 = sum(n0,n12),
    inference(cnf_transformation,[],[f2]) ).

fof(f2970,plain,
    spl122_494,
    inference(avatar_split_clause,[],[f316,f2967]) ).

fof(f2967,plain,
    ( spl122_494
  <=> n7 = sum(n13,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_494])]) ).

fof(f316,plain,
    n7 = sum(n13,n10),
    inference(cnf_transformation,[],[f2]) ).

fof(f2965,plain,
    ~ spl122_493,
    inference(avatar_split_clause,[],[f457,f2962]) ).

fof(f2962,plain,
    ( spl122_493
  <=> n11 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_493])]) ).

fof(f457,plain,
    n11 != n15,
    inference(cnf_transformation,[],[f2]) ).

fof(f2960,plain,
    spl122_492,
    inference(avatar_split_clause,[],[f171,f2957]) ).

fof(f2957,plain,
    ( spl122_492
  <=> n12 = sum(n3,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_492])]) ).

fof(f171,plain,
    n12 = sum(n3,n9),
    inference(cnf_transformation,[],[f2]) ).

fof(f2955,plain,
    spl122_491,
    inference(avatar_split_clause,[],[f233,f2952]) ).

fof(f2952,plain,
    ( spl122_491
  <=> n7 = pred(n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_491])]) ).

fof(f233,plain,
    n7 = pred(n8),
    inference(cnf_transformation,[],[f2]) ).

fof(f2950,plain,
    ~ spl122_490,
    inference(avatar_split_clause,[],[f269,f2947]) ).

fof(f2947,plain,
    ( spl122_490
  <=> n5 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_490])]) ).

fof(f269,plain,
    n5 != n8,
    inference(cnf_transformation,[],[f2]) ).

fof(f2945,plain,
    spl122_489,
    inference(avatar_split_clause,[],[f503,f2942]) ).

fof(f2942,plain,
    ( spl122_489
  <=> sK66 = sum(pred(sK57),sum(succ(sK74),sum(pred(sK25),succ(sK118)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_489])]) ).

fof(f503,plain,
    sK66 = sum(pred(sK57),sum(succ(sK74),sum(pred(sK25),succ(sK118)))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2940,plain,
    spl122_488,
    inference(avatar_split_clause,[],[f527,f2937]) ).

fof(f2937,plain,
    ( spl122_488
  <=> n5 = sum(n11,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_488])]) ).

fof(f527,plain,
    n5 = sum(n11,n10),
    inference(cnf_transformation,[],[f2]) ).

fof(f2935,plain,
    spl122_487,
    inference(avatar_split_clause,[],[f41,f2932]) ).

fof(f2932,plain,
    ( spl122_487
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK111)))))))))))))))) = sK82 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_487])]) ).

fof(f41,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK111)))))))))))))))) = sK82,
    inference(cnf_transformation,[],[f2]) ).

fof(f2930,plain,
    ~ spl122_486,
    inference(avatar_split_clause,[],[f402,f2927]) ).

fof(f2927,plain,
    ( spl122_486
  <=> n13 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_486])]) ).

fof(f402,plain,
    n13 != n14,
    inference(cnf_transformation,[],[f2]) ).

fof(f2925,plain,
    spl122_485,
    inference(avatar_split_clause,[],[f93,f2922]) ).

fof(f2922,plain,
    ( spl122_485
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK88)))))))))))))))) = sK109 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_485])]) ).

fof(f93,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK88)))))))))))))))) = sK109,
    inference(cnf_transformation,[],[f2]) ).

fof(f2920,plain,
    ~ spl122_484,
    inference(avatar_split_clause,[],[f372,f2917]) ).

fof(f2917,plain,
    ( spl122_484
  <=> n2 = n4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_484])]) ).

fof(f372,plain,
    n2 != n4,
    inference(cnf_transformation,[],[f2]) ).

fof(f2915,plain,
    spl122_483,
    inference(avatar_split_clause,[],[f353,f2912]) ).

fof(f2912,plain,
    ( spl122_483
  <=> sK117 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK42)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_483])]) ).

fof(f353,plain,
    sK117 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK42)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2910,plain,
    spl122_482,
    inference(avatar_split_clause,[],[f193,f2907]) ).

fof(f2907,plain,
    ( spl122_482
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK21)))))))))))))))) = sK119 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_482])]) ).

fof(f193,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK21)))))))))))))))) = sK119,
    inference(cnf_transformation,[],[f2]) ).

fof(f2905,plain,
    spl122_481,
    inference(avatar_split_clause,[],[f210,f2902]) ).

fof(f2902,plain,
    ( spl122_481
  <=> n15 = sum(n4,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_481])]) ).

fof(f210,plain,
    n15 = sum(n4,n11),
    inference(cnf_transformation,[],[f2]) ).

fof(f2900,plain,
    ~ spl122_480,
    inference(avatar_split_clause,[],[f403,f2897]) ).

fof(f2897,plain,
    ( spl122_480
  <=> n3 = n6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_480])]) ).

fof(f403,plain,
    n3 != n6,
    inference(cnf_transformation,[],[f2]) ).

fof(f2895,plain,
    spl122_479,
    inference(avatar_split_clause,[],[f200,f2892]) ).

fof(f2892,plain,
    ( spl122_479
  <=> sK26 = sum(sum(pred(sK98),succ(sK113)),sum(pred(sK113),succ(sK98))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_479])]) ).

fof(f200,plain,
    sK26 = sum(sum(pred(sK98),succ(sK113)),sum(pred(sK113),succ(sK98))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2890,plain,
    spl122_478,
    inference(avatar_split_clause,[],[f56,f2887]) ).

fof(f2887,plain,
    ( spl122_478
  <=> n12 = sum(n12,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_478])]) ).

fof(f56,plain,
    n12 = sum(n12,n0),
    inference(cnf_transformation,[],[f2]) ).

fof(f2885,plain,
    ~ spl122_477,
    inference(avatar_split_clause,[],[f80,f2882]) ).

fof(f2882,plain,
    ( spl122_477
  <=> n12 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_477])]) ).

fof(f80,plain,
    n12 != n14,
    inference(cnf_transformation,[],[f2]) ).

fof(f2880,plain,
    spl122_476,
    inference(avatar_split_clause,[],[f495,f2877]) ).

fof(f2877,plain,
    ( spl122_476
  <=> n3 = sum(n9,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_476])]) ).

fof(f495,plain,
    n3 = sum(n9,n10),
    inference(cnf_transformation,[],[f2]) ).

fof(f2875,plain,
    spl122_475,
    inference(avatar_split_clause,[],[f11,f2872]) ).

fof(f2872,plain,
    ( spl122_475
  <=> n12 = sum(n11,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_475])]) ).

fof(f11,plain,
    n12 = sum(n11,n1),
    inference(cnf_transformation,[],[f2]) ).

fof(f2870,plain,
    spl122_474,
    inference(avatar_split_clause,[],[f494,f2867]) ).

fof(f2867,plain,
    ( spl122_474
  <=> sK23 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK47)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_474])]) ).

fof(f494,plain,
    sK23 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK47)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2865,plain,
    spl122_473,
    inference(avatar_split_clause,[],[f426,f2862]) ).

fof(f2862,plain,
    ( spl122_473
  <=> pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK92)))))))))))))))) = sK7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_473])]) ).

fof(f426,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK92)))))))))))))))) = sK7,
    inference(cnf_transformation,[],[f2]) ).

fof(f2860,plain,
    ~ spl122_472,
    inference(avatar_split_clause,[],[f348,f2857]) ).

fof(f2857,plain,
    ( spl122_472
  <=> n6 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_472])]) ).

fof(f348,plain,
    n6 != n9,
    inference(cnf_transformation,[],[f2]) ).

fof(f2855,plain,
    spl122_471,
    inference(avatar_split_clause,[],[f7,f2852]) ).

fof(f2852,plain,
    ( spl122_471
  <=> sum(sum(pred(sK43),succ(sK16)),sum(pred(sK16),succ(sK43))) = sK44 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_471])]) ).

fof(f7,plain,
    sum(sum(pred(sK43),succ(sK16)),sum(pred(sK16),succ(sK43))) = sK44,
    inference(cnf_transformation,[],[f2]) ).

fof(f2850,plain,
    ~ spl122_470,
    inference(avatar_split_clause,[],[f23,f2847]) ).

fof(f2847,plain,
    ( spl122_470
  <=> n3 = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_470])]) ).

fof(f23,plain,
    n3 != n7,
    inference(cnf_transformation,[],[f2]) ).

fof(f2845,plain,
    spl122_469,
    inference(avatar_split_clause,[],[f230,f2842]) ).

fof(f2842,plain,
    ( spl122_469
  <=> n5 = sum(n4,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_469])]) ).

fof(f230,plain,
    n5 = sum(n4,n1),
    inference(cnf_transformation,[],[f2]) ).

fof(f2840,plain,
    spl122_468,
    inference(avatar_split_clause,[],[f227,f2837]) ).

fof(f2837,plain,
    ( spl122_468
  <=> n9 = sum(n1,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_468])]) ).

fof(f227,plain,
    n9 = sum(n1,n8),
    inference(cnf_transformation,[],[f2]) ).

fof(f2835,plain,
    spl122_467,
    inference(avatar_split_clause,[],[f486,f2832]) ).

fof(f2832,plain,
    ( spl122_467
  <=> n1 = sum(n12,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_467])]) ).

fof(f486,plain,
    n1 = sum(n12,n5),
    inference(cnf_transformation,[],[f2]) ).

fof(f2830,plain,
    spl122_466,
    inference(avatar_split_clause,[],[f25,f2827]) ).

fof(f2827,plain,
    ( spl122_466
  <=> n0 = sum(n0,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_466])]) ).

fof(f25,plain,
    n0 = sum(n0,n0),
    inference(cnf_transformation,[],[f2]) ).

fof(f2825,plain,
    spl122_465,
    inference(avatar_split_clause,[],[f138,f2822]) ).

fof(f2822,plain,
    ( spl122_465
  <=> sK6 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK43)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_465])]) ).

fof(f138,plain,
    sK6 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK43)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2820,plain,
    spl122_464,
    inference(avatar_split_clause,[],[f228,f2817]) ).

fof(f2817,plain,
    ( spl122_464
  <=> n7 = sum(n3,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_464])]) ).

fof(f228,plain,
    n7 = sum(n3,n4),
    inference(cnf_transformation,[],[f2]) ).

fof(f2815,plain,
    ~ spl122_463,
    inference(avatar_split_clause,[],[f211,f2812]) ).

fof(f2812,plain,
    ( spl122_463
  <=> n6 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_463])]) ).

fof(f211,plain,
    n6 != n8,
    inference(cnf_transformation,[],[f2]) ).

fof(f2810,plain,
    spl122_462,
    inference(avatar_split_clause,[],[f216,f2807]) ).

fof(f2807,plain,
    ( spl122_462
  <=> sK74 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK81)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_462])]) ).

fof(f216,plain,
    sK74 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK81)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2805,plain,
    ~ spl122_461,
    inference(avatar_split_clause,[],[f324,f2802]) ).

fof(f2802,plain,
    ( spl122_461
  <=> n0 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_461])]) ).

fof(f324,plain,
    n0 != n9,
    inference(cnf_transformation,[],[f2]) ).

fof(f2800,plain,
    ~ spl122_460,
    inference(avatar_split_clause,[],[f508,f2797]) ).

fof(f2797,plain,
    ( spl122_460
  <=> n7 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_460])]) ).

fof(f508,plain,
    n7 != n9,
    inference(cnf_transformation,[],[f2]) ).

fof(f2795,plain,
    spl122_459,
    inference(avatar_split_clause,[],[f19,f2792]) ).

fof(f2792,plain,
    ( spl122_459
  <=> n6 = sum(n6,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_459])]) ).

fof(f19,plain,
    n6 = sum(n6,n0),
    inference(cnf_transformation,[],[f2]) ).

fof(f2790,plain,
    spl122_458,
    inference(avatar_split_clause,[],[f166,f2787]) ).

fof(f2787,plain,
    ( spl122_458
  <=> n9 = sum(n7,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_458])]) ).

fof(f166,plain,
    n9 = sum(n7,n2),
    inference(cnf_transformation,[],[f2]) ).

fof(f2785,plain,
    spl122_457,
    inference(avatar_split_clause,[],[f337,f2782]) ).

fof(f2782,plain,
    ( spl122_457
  <=> n1 = sum(n8,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_457])]) ).

fof(f337,plain,
    n1 = sum(n8,n9),
    inference(cnf_transformation,[],[f2]) ).

fof(f2780,plain,
    ~ spl122_456,
    inference(avatar_split_clause,[],[f39,f2777]) ).

fof(f2777,plain,
    ( spl122_456
  <=> n14 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_456])]) ).

fof(f39,plain,
    n14 != n15,
    inference(cnf_transformation,[],[f2]) ).

fof(f2775,plain,
    spl122_455,
    inference(avatar_split_clause,[],[f241,f2772]) ).

fof(f2772,plain,
    ( spl122_455
  <=> n15 = sum(n9,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_455])]) ).

fof(f241,plain,
    n15 = sum(n9,n6),
    inference(cnf_transformation,[],[f2]) ).

fof(f2770,plain,
    spl122_454,
    inference(avatar_split_clause,[],[f439,f2767]) ).

fof(f2767,plain,
    ( spl122_454
  <=> n10 = sum(n15,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_454])]) ).

fof(f439,plain,
    n10 = sum(n15,n11),
    inference(cnf_transformation,[],[f2]) ).

fof(f2765,plain,
    spl122_453,
    inference(avatar_split_clause,[],[f392,f2762]) ).

fof(f2762,plain,
    ( spl122_453
  <=> n4 = sum(n4,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_453])]) ).

fof(f392,plain,
    n4 = sum(n4,n0),
    inference(cnf_transformation,[],[f2]) ).

fof(f2760,plain,
    spl122_452,
    inference(avatar_split_clause,[],[f170,f2757]) ).

fof(f2757,plain,
    ( spl122_452
  <=> n0 = sum(n9,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_452])]) ).

fof(f170,plain,
    n0 = sum(n9,n7),
    inference(cnf_transformation,[],[f2]) ).

fof(f2755,plain,
    spl122_451,
    inference(avatar_split_clause,[],[f356,f2752]) ).

fof(f2752,plain,
    ( spl122_451
  <=> n15 = pred(n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_451])]) ).

fof(f356,plain,
    n15 = pred(n0),
    inference(cnf_transformation,[],[f2]) ).

fof(f2750,plain,
    ~ spl122_450,
    inference(avatar_split_clause,[],[f383,f2747]) ).

fof(f2747,plain,
    ( spl122_450
  <=> n3 = n5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_450])]) ).

fof(f383,plain,
    n3 != n5,
    inference(cnf_transformation,[],[f2]) ).

fof(f2745,plain,
    ~ spl122_449,
    inference(avatar_split_clause,[],[f97,f2742]) ).

fof(f2742,plain,
    ( spl122_449
  <=> n2 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_449])]) ).

fof(f97,plain,
    n2 != n10,
    inference(cnf_transformation,[],[f2]) ).

fof(f2740,plain,
    spl122_448,
    inference(avatar_split_clause,[],[f21,f2737]) ).

fof(f2737,plain,
    ( spl122_448
  <=> n6 = sum(n3,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_448])]) ).

fof(f21,plain,
    n6 = sum(n3,n3),
    inference(cnf_transformation,[],[f2]) ).

fof(f2735,plain,
    spl122_447,
    inference(avatar_split_clause,[],[f250,f2732]) ).

fof(f2732,plain,
    ( spl122_447
  <=> sK86 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK108)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_447])]) ).

fof(f250,plain,
    sK86 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK108)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2730,plain,
    spl122_446,
    inference(avatar_split_clause,[],[f143,f2727]) ).

fof(f2727,plain,
    ( spl122_446
  <=> n13 = sum(n9,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_446])]) ).

fof(f143,plain,
    n13 = sum(n9,n4),
    inference(cnf_transformation,[],[f2]) ).

fof(f2725,plain,
    spl122_445,
    inference(avatar_split_clause,[],[f121,f2722]) ).

fof(f2722,plain,
    ( spl122_445
  <=> n2 = sum(n2,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_445])]) ).

fof(f121,plain,
    n2 = sum(n2,n0),
    inference(cnf_transformation,[],[f2]) ).

fof(f2720,plain,
    spl122_444,
    inference(avatar_split_clause,[],[f290,f2717]) ).

fof(f2717,plain,
    ( spl122_444
  <=> n12 = sum(n14,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_444])]) ).

fof(f290,plain,
    n12 = sum(n14,n14),
    inference(cnf_transformation,[],[f2]) ).

fof(f2715,plain,
    spl122_443,
    inference(avatar_split_clause,[],[f518,f2712]) ).

fof(f2712,plain,
    ( spl122_443
  <=> n4 = sum(n15,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_443])]) ).

fof(f518,plain,
    n4 = sum(n15,n5),
    inference(cnf_transformation,[],[f2]) ).

fof(f2710,plain,
    spl122_442,
    inference(avatar_split_clause,[],[f284,f2707]) ).

fof(f2707,plain,
    ( spl122_442
  <=> n2 = sum(n5,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_442])]) ).

fof(f284,plain,
    n2 = sum(n5,n13),
    inference(cnf_transformation,[],[f2]) ).

fof(f2705,plain,
    spl122_441,
    inference(avatar_split_clause,[],[f484,f2702]) ).

fof(f2702,plain,
    ( spl122_441
  <=> sK75 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK101)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_441])]) ).

fof(f484,plain,
    sK75 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK101)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2700,plain,
    spl122_440,
    inference(avatar_split_clause,[],[f397,f2697]) ).

fof(f2697,plain,
    ( spl122_440
  <=> n1 = sum(n3,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_440])]) ).

fof(f397,plain,
    n1 = sum(n3,n14),
    inference(cnf_transformation,[],[f2]) ).

fof(f2695,plain,
    spl122_439,
    inference(avatar_split_clause,[],[f293,f2692]) ).

fof(f2692,plain,
    ( spl122_439
  <=> sK115 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK103)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_439])]) ).

fof(f293,plain,
    sK115 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK103)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2690,plain,
    spl122_438,
    inference(avatar_split_clause,[],[f408,f2687]) ).

fof(f2687,plain,
    ( spl122_438
  <=> n11 = sum(n8,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_438])]) ).

fof(f408,plain,
    n11 = sum(n8,n3),
    inference(cnf_transformation,[],[f2]) ).

fof(f2685,plain,
    ~ spl122_437,
    inference(avatar_split_clause,[],[f22,f2682]) ).

fof(f2682,plain,
    ( spl122_437
  <=> n0 = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_437])]) ).

fof(f22,plain,
    n0 != n7,
    inference(cnf_transformation,[],[f2]) ).

fof(f2680,plain,
    spl122_436,
    inference(avatar_split_clause,[],[f247,f2677]) ).

fof(f2677,plain,
    ( spl122_436
  <=> n8 = sum(n8,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_436])]) ).

fof(f247,plain,
    n8 = sum(n8,n0),
    inference(cnf_transformation,[],[f2]) ).

fof(f2675,plain,
    spl122_435,
    inference(avatar_split_clause,[],[f57,f2672]) ).

fof(f2672,plain,
    ( spl122_435
  <=> n10 = sum(n7,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_435])]) ).

fof(f57,plain,
    n10 = sum(n7,n3),
    inference(cnf_transformation,[],[f2]) ).

fof(f2670,plain,
    spl122_434,
    inference(avatar_split_clause,[],[f179,f2667]) ).

fof(f2667,plain,
    ( spl122_434
  <=> n14 = sum(n4,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_434])]) ).

fof(f179,plain,
    n14 = sum(n4,n10),
    inference(cnf_transformation,[],[f2]) ).

fof(f2665,plain,
    spl122_433,
    inference(avatar_split_clause,[],[f71,f2662]) ).

fof(f2662,plain,
    ( spl122_433
  <=> n0 = sum(n3,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_433])]) ).

fof(f71,plain,
    n0 = sum(n3,n13),
    inference(cnf_transformation,[],[f2]) ).

fof(f2660,plain,
    spl122_432,
    inference(avatar_split_clause,[],[f146,f2657]) ).

fof(f2657,plain,
    ( spl122_432
  <=> succ(n7) = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_432])]) ).

fof(f146,plain,
    succ(n7) = n8,
    inference(cnf_transformation,[],[f2]) ).

fof(f2655,plain,
    spl122_431,
    inference(avatar_split_clause,[],[f477,f2652]) ).

fof(f2652,plain,
    ( spl122_431
  <=> sK2 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK38)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_431])]) ).

fof(f477,plain,
    sK2 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK38)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2650,plain,
    spl122_430,
    inference(avatar_split_clause,[],[f217,f2647]) ).

fof(f2647,plain,
    ( spl122_430
  <=> sum(pred(sK23),sum(succ(sK55),sum(pred(sK102),succ(sK35)))) = sK92 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_430])]) ).

fof(f217,plain,
    sum(pred(sK23),sum(succ(sK55),sum(pred(sK102),succ(sK35)))) = sK92,
    inference(cnf_transformation,[],[f2]) ).

fof(f2645,plain,
    spl122_429,
    inference(avatar_split_clause,[],[f377,f2642]) ).

fof(f2642,plain,
    ( spl122_429
  <=> n3 = pred(n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_429])]) ).

fof(f377,plain,
    n3 = pred(n4),
    inference(cnf_transformation,[],[f2]) ).

fof(f2640,plain,
    spl122_428,
    inference(avatar_split_clause,[],[f341,f2637]) ).

fof(f2637,plain,
    ( spl122_428
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK113)))))))))))))))) = sK69 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_428])]) ).

fof(f341,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK113)))))))))))))))) = sK69,
    inference(cnf_transformation,[],[f2]) ).

fof(f2635,plain,
    spl122_427,
    inference(avatar_split_clause,[],[f310,f2632]) ).

fof(f2632,plain,
    ( spl122_427
  <=> succ(n12) = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_427])]) ).

fof(f310,plain,
    succ(n12) = n13,
    inference(cnf_transformation,[],[f2]) ).

fof(f2630,plain,
    spl122_426,
    inference(avatar_split_clause,[],[f464,f2627]) ).

fof(f2627,plain,
    ( spl122_426
  <=> n2 = sum(n12,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_426])]) ).

fof(f464,plain,
    n2 = sum(n12,n6),
    inference(cnf_transformation,[],[f2]) ).

fof(f2625,plain,
    spl122_425,
    inference(avatar_split_clause,[],[f224,f2622]) ).

fof(f2622,plain,
    ( spl122_425
  <=> sK91 = sum(pred(sK33),sum(succ(sK115),sum(pred(sK80),succ(sK7)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_425])]) ).

fof(f224,plain,
    sK91 = sum(pred(sK33),sum(succ(sK115),sum(pred(sK80),succ(sK7)))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2620,plain,
    spl122_424,
    inference(avatar_split_clause,[],[f412,f2617]) ).

fof(f2617,plain,
    ( spl122_424
  <=> sK104 = sum(sum(pred(sK21),succ(sK63)),sum(pred(sK63),succ(sK21))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_424])]) ).

fof(f412,plain,
    sK104 = sum(sum(pred(sK21),succ(sK63)),sum(pred(sK63),succ(sK21))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2615,plain,
    spl122_423,
    inference(avatar_split_clause,[],[f229,f2612]) ).

fof(f2612,plain,
    ( spl122_423
  <=> sK59 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK110)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_423])]) ).

fof(f229,plain,
    sK59 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK110)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2610,plain,
    spl122_422,
    inference(avatar_split_clause,[],[f38,f2607]) ).

fof(f2607,plain,
    ( spl122_422
  <=> n6 = sum(n12,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_422])]) ).

fof(f38,plain,
    n6 = sum(n12,n10),
    inference(cnf_transformation,[],[f2]) ).

fof(f2605,plain,
    ~ spl122_421,
    inference(avatar_split_clause,[],[f456,f2602]) ).

fof(f2602,plain,
    ( spl122_421
  <=> n7 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_421])]) ).

fof(f456,plain,
    n7 != n8,
    inference(cnf_transformation,[],[f2]) ).

fof(f2600,plain,
    spl122_420,
    inference(avatar_split_clause,[],[f180,f2597]) ).

fof(f2597,plain,
    ( spl122_420
  <=> n11 = sum(n11,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_420])]) ).

fof(f180,plain,
    n11 = sum(n11,n0),
    inference(cnf_transformation,[],[f2]) ).

fof(f2595,plain,
    spl122_419,
    inference(avatar_split_clause,[],[f511,f2592]) ).

fof(f2592,plain,
    ( spl122_419
  <=> n13 = sum(n2,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_419])]) ).

fof(f511,plain,
    n13 = sum(n2,n11),
    inference(cnf_transformation,[],[f2]) ).

fof(f2590,plain,
    spl122_418,
    inference(avatar_split_clause,[],[f75,f2587]) ).

fof(f2587,plain,
    ( spl122_418
  <=> n8 = sum(n12,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_418])]) ).

fof(f75,plain,
    n8 = sum(n12,n12),
    inference(cnf_transformation,[],[f2]) ).

fof(f2585,plain,
    ~ spl122_417,
    inference(avatar_split_clause,[],[f244,f2582]) ).

fof(f2582,plain,
    ( spl122_417
  <=> n2 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_417])]) ).

fof(f244,plain,
    n2 != n8,
    inference(cnf_transformation,[],[f2]) ).

fof(f2580,plain,
    ( ~ spl122_413
    | ~ spl122_414
    | ~ spl122_415
    | ~ spl122_416 ),
    inference(avatar_split_clause,[],[f3,f2577,f2573,f2569,f2565]) ).

fof(f2565,plain,
    ( spl122_413
  <=> sK43 = sK16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_413])]) ).

fof(f2569,plain,
    ( spl122_414
  <=> sK100 = sK112 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_414])]) ).

fof(f2573,plain,
    ( spl122_415
  <=> sK66 = sK83 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_415])]) ).

fof(f2577,plain,
    ( spl122_416
  <=> sK20 = sK44 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_416])]) ).

fof(f3,plain,
    ( sK20 != sK44
    | sK66 != sK83
    | sK100 != sK112
    | sK43 != sK16 ),
    inference(cnf_transformation,[],[f2]) ).

fof(f2563,plain,
    spl122_412,
    inference(avatar_split_clause,[],[f52,f2560]) ).

fof(f2560,plain,
    ( spl122_412
  <=> n5 = sum(n7,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_412])]) ).

fof(f52,plain,
    n5 = sum(n7,n14),
    inference(cnf_transformation,[],[f2]) ).

fof(f2558,plain,
    spl122_411,
    inference(avatar_split_clause,[],[f240,f2555]) ).

fof(f2555,plain,
    ( spl122_411
  <=> sK80 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK92)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_411])]) ).

fof(f240,plain,
    sK80 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK92)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2553,plain,
    spl122_410,
    inference(avatar_split_clause,[],[f33,f2550]) ).

fof(f2550,plain,
    ( spl122_410
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK16)))))))))))))))) = sK95 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_410])]) ).

fof(f33,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK16)))))))))))))))) = sK95,
    inference(cnf_transformation,[],[f2]) ).

fof(f2548,plain,
    ~ spl122_409,
    inference(avatar_split_clause,[],[f514,f2545]) ).

fof(f2545,plain,
    ( spl122_409
  <=> n13 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_409])]) ).

fof(f514,plain,
    n13 != n15,
    inference(cnf_transformation,[],[f2]) ).

fof(f2543,plain,
    spl122_408,
    inference(avatar_split_clause,[],[f424,f2540]) ).

fof(f2540,plain,
    ( spl122_408
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK94)))))))))))))))) = sK79 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_408])]) ).

fof(f424,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK94)))))))))))))))) = sK79,
    inference(cnf_transformation,[],[f2]) ).

fof(f2538,plain,
    spl122_407,
    inference(avatar_split_clause,[],[f429,f2535]) ).

fof(f2535,plain,
    ( spl122_407
  <=> n6 = sum(n11,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_407])]) ).

fof(f429,plain,
    n6 = sum(n11,n11),
    inference(cnf_transformation,[],[f2]) ).

fof(f2533,plain,
    spl122_406,
    inference(avatar_split_clause,[],[f184,f2530]) ).

fof(f2530,plain,
    ( spl122_406
  <=> n5 = sum(n15,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_406])]) ).

fof(f184,plain,
    n5 = sum(n15,n6),
    inference(cnf_transformation,[],[f2]) ).

fof(f2528,plain,
    spl122_405,
    inference(avatar_split_clause,[],[f100,f2525]) ).

fof(f2525,plain,
    ( spl122_405
  <=> succ(n3) = n4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_405])]) ).

fof(f100,plain,
    succ(n3) = n4,
    inference(cnf_transformation,[],[f2]) ).

fof(f2523,plain,
    spl122_404,
    inference(avatar_split_clause,[],[f162,f2520]) ).

fof(f2520,plain,
    ( spl122_404
  <=> n0 = sum(n6,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_404])]) ).

fof(f162,plain,
    n0 = sum(n6,n10),
    inference(cnf_transformation,[],[f2]) ).

fof(f2518,plain,
    spl122_403,
    inference(avatar_split_clause,[],[f104,f2515]) ).

fof(f2515,plain,
    ( spl122_403
  <=> sK62 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK26)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_403])]) ).

fof(f104,plain,
    sK62 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK26)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2513,plain,
    spl122_402,
    inference(avatar_split_clause,[],[f118,f2510]) ).

fof(f2510,plain,
    ( spl122_402
  <=> n14 = sum(n1,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_402])]) ).

fof(f118,plain,
    n14 = sum(n1,n13),
    inference(cnf_transformation,[],[f2]) ).

fof(f2508,plain,
    spl122_401,
    inference(avatar_split_clause,[],[f297,f2505]) ).

fof(f2505,plain,
    ( spl122_401
  <=> sum(sum(pred(sK104),succ(sK42)),sum(pred(sK42),succ(sK104))) = sK47 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_401])]) ).

fof(f297,plain,
    sum(sum(pred(sK104),succ(sK42)),sum(pred(sK42),succ(sK104))) = sK47,
    inference(cnf_transformation,[],[f2]) ).

fof(f2503,plain,
    spl122_400,
    inference(avatar_split_clause,[],[f436,f2500]) ).

fof(f2500,plain,
    ( spl122_400
  <=> pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK71)))))))))))))))) = sK106 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_400])]) ).

fof(f436,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK71)))))))))))))))) = sK106,
    inference(cnf_transformation,[],[f2]) ).

fof(f2498,plain,
    spl122_399,
    inference(avatar_split_clause,[],[f282,f2495]) ).

fof(f2495,plain,
    ( spl122_399
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK30)))))))))))))))) = sK102 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_399])]) ).

fof(f282,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK30)))))))))))))))) = sK102,
    inference(cnf_transformation,[],[f2]) ).

fof(f2493,plain,
    spl122_398,
    inference(avatar_split_clause,[],[f395,f2490]) ).

fof(f2490,plain,
    ( spl122_398
  <=> sK67 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK88)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_398])]) ).

fof(f395,plain,
    sK67 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK88)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2488,plain,
    spl122_397,
    inference(avatar_split_clause,[],[f150,f2485]) ).

fof(f2485,plain,
    ( spl122_397
  <=> sum(pred(sK59),sum(succ(sK32),sum(pred(sK18),succ(sK97)))) = sK37 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_397])]) ).

fof(f150,plain,
    sum(pred(sK59),sum(succ(sK32),sum(pred(sK18),succ(sK97)))) = sK37,
    inference(cnf_transformation,[],[f2]) ).

fof(f2483,plain,
    spl122_396,
    inference(avatar_split_clause,[],[f294,f2480]) ).

fof(f2480,plain,
    ( spl122_396
  <=> n1 = sum(n10,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_396])]) ).

fof(f294,plain,
    n1 = sum(n10,n7),
    inference(cnf_transformation,[],[f2]) ).

fof(f2478,plain,
    ~ spl122_395,
    inference(avatar_split_clause,[],[f374,f2475]) ).

fof(f2475,plain,
    ( spl122_395
  <=> n10 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_395])]) ).

fof(f374,plain,
    n10 != n11,
    inference(cnf_transformation,[],[f2]) ).

fof(f2473,plain,
    ~ spl122_394,
    inference(avatar_split_clause,[],[f388,f2470]) ).

fof(f2470,plain,
    ( spl122_394
  <=> n6 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_394])]) ).

fof(f388,plain,
    n6 != n10,
    inference(cnf_transformation,[],[f2]) ).

fof(f2468,plain,
    spl122_393,
    inference(avatar_split_clause,[],[f107,f2465]) ).

fof(f2465,plain,
    ( spl122_393
  <=> pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK98)))))))))))))))) = sK40 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_393])]) ).

fof(f107,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK98)))))))))))))))) = sK40,
    inference(cnf_transformation,[],[f2]) ).

fof(f2463,plain,
    spl122_392,
    inference(avatar_split_clause,[],[f255,f2460]) ).

fof(f2460,plain,
    ( spl122_392
  <=> n4 = sum(n11,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_392])]) ).

fof(f255,plain,
    n4 = sum(n11,n9),
    inference(cnf_transformation,[],[f2]) ).

fof(f2458,plain,
    spl122_391,
    inference(avatar_split_clause,[],[f258,f2455]) ).

fof(f2455,plain,
    ( spl122_391
  <=> n1 = sum(n6,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_391])]) ).

fof(f258,plain,
    n1 = sum(n6,n11),
    inference(cnf_transformation,[],[f2]) ).

fof(f2453,plain,
    spl122_390,
    inference(avatar_split_clause,[],[f263,f2450]) ).

fof(f2450,plain,
    ( spl122_390
  <=> n6 = sum(n0,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_390])]) ).

fof(f263,plain,
    n6 = sum(n0,n6),
    inference(cnf_transformation,[],[f2]) ).

fof(f2448,plain,
    spl122_389,
    inference(avatar_split_clause,[],[f222,f2445]) ).

fof(f2445,plain,
    ( spl122_389
  <=> sK1 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK111)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_389])]) ).

fof(f222,plain,
    sK1 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK111)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2443,plain,
    spl122_388,
    inference(avatar_split_clause,[],[f272,f2440]) ).

fof(f2440,plain,
    ( spl122_388
  <=> sK10 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK101)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_388])]) ).

fof(f272,plain,
    sK10 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK101)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2438,plain,
    ~ spl122_387,
    inference(avatar_split_clause,[],[f164,f2435]) ).

fof(f2435,plain,
    ( spl122_387
  <=> n1 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_387])]) ).

fof(f164,plain,
    n1 != n11,
    inference(cnf_transformation,[],[f2]) ).

fof(f2433,plain,
    spl122_386,
    inference(avatar_split_clause,[],[f206,f2430]) ).

fof(f2430,plain,
    ( spl122_386
  <=> n4 = sum(n2,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_386])]) ).

fof(f206,plain,
    n4 = sum(n2,n2),
    inference(cnf_transformation,[],[f2]) ).

fof(f2428,plain,
    spl122_385,
    inference(avatar_split_clause,[],[f10,f2425]) ).

fof(f2425,plain,
    ( spl122_385
  <=> n0 = sum(n4,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_385])]) ).

fof(f10,plain,
    n0 = sum(n4,n12),
    inference(cnf_transformation,[],[f2]) ).

fof(f2423,plain,
    spl122_384,
    inference(avatar_split_clause,[],[f279,f2420]) ).

fof(f2420,plain,
    ( spl122_384
  <=> n14 = sum(n15,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_384])]) ).

fof(f279,plain,
    n14 = sum(n15,n15),
    inference(cnf_transformation,[],[f2]) ).

fof(f2418,plain,
    spl122_383,
    inference(avatar_split_clause,[],[f308,f2415]) ).

fof(f2415,plain,
    ( spl122_383
  <=> n3 = sum(n3,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_383])]) ).

fof(f308,plain,
    n3 = sum(n3,n0),
    inference(cnf_transformation,[],[f2]) ).

fof(f2413,plain,
    spl122_382,
    inference(avatar_split_clause,[],[f177,f2410]) ).

fof(f2410,plain,
    ( spl122_382
  <=> n6 = sum(n13,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_382])]) ).

fof(f177,plain,
    n6 = sum(n13,n9),
    inference(cnf_transformation,[],[f2]) ).

fof(f2408,plain,
    spl122_381,
    inference(avatar_split_clause,[],[f483,f2405]) ).

fof(f2405,plain,
    ( spl122_381
  <=> sum(sum(pred(sK71),succ(sK91)),sum(pred(sK91),succ(sK71))) = sK5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_381])]) ).

fof(f483,plain,
    sum(sum(pred(sK71),succ(sK91)),sum(pred(sK91),succ(sK71))) = sK5,
    inference(cnf_transformation,[],[f2]) ).

fof(f2403,plain,
    spl122_380,
    inference(avatar_split_clause,[],[f357,f2400]) ).

fof(f2400,plain,
    ( spl122_380
  <=> n0 = sum(n14,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_380])]) ).

fof(f357,plain,
    n0 = sum(n14,n2),
    inference(cnf_transformation,[],[f2]) ).

fof(f2398,plain,
    spl122_379,
    inference(avatar_split_clause,[],[f371,f2395]) ).

fof(f2395,plain,
    ( spl122_379
  <=> n13 = sum(n14,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_379])]) ).

fof(f371,plain,
    n13 = sum(n14,n15),
    inference(cnf_transformation,[],[f2]) ).

fof(f2393,plain,
    spl122_378,
    inference(avatar_split_clause,[],[f455,f2390]) ).

fof(f2390,plain,
    ( spl122_378
  <=> n8 = sum(n0,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_378])]) ).

fof(f455,plain,
    n8 = sum(n0,n8),
    inference(cnf_transformation,[],[f2]) ).

fof(f2388,plain,
    spl122_377,
    inference(avatar_split_clause,[],[f475,f2385]) ).

fof(f2385,plain,
    ( spl122_377
  <=> n11 = sum(n4,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_377])]) ).

fof(f475,plain,
    n11 = sum(n4,n7),
    inference(cnf_transformation,[],[f2]) ).

fof(f2383,plain,
    spl122_376,
    inference(avatar_split_clause,[],[f443,f2380]) ).

fof(f2380,plain,
    ( spl122_376
  <=> n5 = sum(n10,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_376])]) ).

fof(f443,plain,
    n5 = sum(n10,n11),
    inference(cnf_transformation,[],[f2]) ).

fof(f2378,plain,
    spl122_375,
    inference(avatar_split_clause,[],[f64,f2375]) ).

fof(f2375,plain,
    ( spl122_375
  <=> n13 = sum(n4,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_375])]) ).

fof(f64,plain,
    n13 = sum(n4,n9),
    inference(cnf_transformation,[],[f2]) ).

fof(f2373,plain,
    spl122_374,
    inference(avatar_split_clause,[],[f219,f2370]) ).

fof(f2370,plain,
    ( spl122_374
  <=> n0 = sum(n7,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_374])]) ).

fof(f219,plain,
    n0 = sum(n7,n9),
    inference(cnf_transformation,[],[f2]) ).

fof(f2368,plain,
    spl122_373,
    inference(avatar_split_clause,[],[f500,f2365]) ).

fof(f2365,plain,
    ( spl122_373
  <=> pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK44)))))))))))))))) = sK17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_373])]) ).

fof(f500,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK44)))))))))))))))) = sK17,
    inference(cnf_transformation,[],[f2]) ).

fof(f2363,plain,
    spl122_372,
    inference(avatar_split_clause,[],[f299,f2360]) ).

fof(f2360,plain,
    ( spl122_372
  <=> sK107 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK56)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_372])]) ).

fof(f299,plain,
    sK107 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK56)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2358,plain,
    spl122_371,
    inference(avatar_split_clause,[],[f78,f2355]) ).

fof(f2355,plain,
    ( spl122_371
  <=> sK38 = sum(sum(pred(sK26),succ(sK101)),sum(pred(sK101),succ(sK26))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_371])]) ).

fof(f78,plain,
    sK38 = sum(sum(pred(sK26),succ(sK101)),sum(pred(sK101),succ(sK26))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2353,plain,
    spl122_370,
    inference(avatar_split_clause,[],[f73,f2350]) ).

fof(f2350,plain,
    ( spl122_370
  <=> n15 = sum(n12,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_370])]) ).

fof(f73,plain,
    n15 = sum(n12,n3),
    inference(cnf_transformation,[],[f2]) ).

fof(f2348,plain,
    spl122_369,
    inference(avatar_split_clause,[],[f415,f2345]) ).

fof(f2345,plain,
    ( spl122_369
  <=> sK48 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK5)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_369])]) ).

fof(f415,plain,
    sK48 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK5)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2343,plain,
    spl122_368,
    inference(avatar_split_clause,[],[f231,f2340]) ).

fof(f2340,plain,
    ( spl122_368
  <=> n3 = sum(n10,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_368])]) ).

fof(f231,plain,
    n3 = sum(n10,n9),
    inference(cnf_transformation,[],[f2]) ).

fof(f2338,plain,
    spl122_367,
    inference(avatar_split_clause,[],[f532,f2335]) ).

fof(f2335,plain,
    ( spl122_367
  <=> n4 = sum(n6,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_367])]) ).

fof(f532,plain,
    n4 = sum(n6,n14),
    inference(cnf_transformation,[],[f2]) ).

fof(f2333,plain,
    ~ spl122_366,
    inference(avatar_split_clause,[],[f262,f2330]) ).

fof(f2330,plain,
    ( spl122_366
  <=> n9 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_366])]) ).

fof(f262,plain,
    n9 != n10,
    inference(cnf_transformation,[],[f2]) ).

fof(f2328,plain,
    spl122_365,
    inference(avatar_split_clause,[],[f176,f2325]) ).

fof(f2325,plain,
    ( spl122_365
  <=> n6 = sum(n15,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_365])]) ).

fof(f176,plain,
    n6 = sum(n15,n7),
    inference(cnf_transformation,[],[f2]) ).

fof(f2323,plain,
    spl122_364,
    inference(avatar_split_clause,[],[f501,f2320]) ).

fof(f2320,plain,
    ( spl122_364
  <=> n12 = sum(n6,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_364])]) ).

fof(f501,plain,
    n12 = sum(n6,n6),
    inference(cnf_transformation,[],[f2]) ).

fof(f2318,plain,
    spl122_363,
    inference(avatar_split_clause,[],[f453,f2315]) ).

fof(f2315,plain,
    ( spl122_363
  <=> sK108 = sum(sum(pred(sK5),succ(sK99)),sum(pred(sK99),succ(sK5))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_363])]) ).

fof(f453,plain,
    sK108 = sum(sum(pred(sK5),succ(sK99)),sum(pred(sK99),succ(sK5))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2313,plain,
    spl122_362,
    inference(avatar_split_clause,[],[f420,f2310]) ).

fof(f2310,plain,
    ( spl122_362
  <=> n7 = sum(n11,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_362])]) ).

fof(f420,plain,
    n7 = sum(n11,n12),
    inference(cnf_transformation,[],[f2]) ).

fof(f2308,plain,
    spl122_361,
    inference(avatar_split_clause,[],[f90,f2305]) ).

fof(f2305,plain,
    ( spl122_361
  <=> succ(n5) = n6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_361])]) ).

fof(f90,plain,
    succ(n5) = n6,
    inference(cnf_transformation,[],[f2]) ).

fof(f2303,plain,
    spl122_360,
    inference(avatar_split_clause,[],[f335,f2300]) ).

fof(f2300,plain,
    ( spl122_360
  <=> sK16 = sum(pred(sK13),sum(succ(sK28),sum(pred(sK72),succ(sK70)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_360])]) ).

fof(f335,plain,
    sK16 = sum(pred(sK13),sum(succ(sK28),sum(pred(sK72),succ(sK70)))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2298,plain,
    ~ spl122_359,
    inference(avatar_split_clause,[],[f490,f2295]) ).

fof(f2295,plain,
    ( spl122_359
  <=> n4 = n6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_359])]) ).

fof(f490,plain,
    n4 != n6,
    inference(cnf_transformation,[],[f2]) ).

fof(f2293,plain,
    spl122_358,
    inference(avatar_split_clause,[],[f127,f2290]) ).

fof(f2290,plain,
    ( spl122_358
  <=> n8 = sum(n10,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_358])]) ).

fof(f127,plain,
    n8 = sum(n10,n14),
    inference(cnf_transformation,[],[f2]) ).

fof(f2288,plain,
    ~ spl122_357,
    inference(avatar_split_clause,[],[f225,f2285]) ).

fof(f2285,plain,
    ( spl122_357
  <=> n1 = n6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_357])]) ).

fof(f225,plain,
    n1 != n6,
    inference(cnf_transformation,[],[f2]) ).

fof(f2283,plain,
    ~ spl122_356,
    inference(avatar_split_clause,[],[f488,f2280]) ).

fof(f2280,plain,
    ( spl122_356
  <=> n8 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_356])]) ).

fof(f488,plain,
    n8 != n9,
    inference(cnf_transformation,[],[f2]) ).

fof(f2278,plain,
    ~ spl122_355,
    inference(avatar_split_clause,[],[f151,f2275]) ).

fof(f2275,plain,
    ( spl122_355
  <=> n0 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_355])]) ).

fof(f151,plain,
    n0 != n10,
    inference(cnf_transformation,[],[f2]) ).

fof(f2273,plain,
    spl122_354,
    inference(avatar_split_clause,[],[f318,f2270]) ).

fof(f2270,plain,
    ( spl122_354
  <=> sK56 = sum(sum(pred(sK111),succ(sK76)),sum(pred(sK76),succ(sK111))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_354])]) ).

fof(f318,plain,
    sK56 = sum(sum(pred(sK111),succ(sK76)),sum(pred(sK76),succ(sK111))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2268,plain,
    spl122_353,
    inference(avatar_split_clause,[],[f515,f2265]) ).

fof(f2265,plain,
    ( spl122_353
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK66)))))))))))))))) = sK72 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_353])]) ).

fof(f515,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK66)))))))))))))))) = sK72,
    inference(cnf_transformation,[],[f2]) ).

fof(f2263,plain,
    spl122_352,
    inference(avatar_split_clause,[],[f298,f2260]) ).

fof(f2260,plain,
    ( spl122_352
  <=> n11 = sum(n7,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_352])]) ).

fof(f298,plain,
    n11 = sum(n7,n4),
    inference(cnf_transformation,[],[f2]) ).

fof(f2258,plain,
    ~ spl122_351,
    inference(avatar_split_clause,[],[f133,f2255]) ).

fof(f2255,plain,
    ( spl122_351
  <=> n4 = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_351])]) ).

fof(f133,plain,
    n4 != n7,
    inference(cnf_transformation,[],[f2]) ).

fof(f2253,plain,
    ~ spl122_350,
    inference(avatar_split_clause,[],[f338,f2250]) ).

fof(f2250,plain,
    ( spl122_350
  <=> n1 = n2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_350])]) ).

fof(f338,plain,
    n1 != n2,
    inference(cnf_transformation,[],[f2]) ).

fof(f2248,plain,
    spl122_349,
    inference(avatar_split_clause,[],[f413,f2245]) ).

fof(f2245,plain,
    ( spl122_349
  <=> n9 = sum(n6,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_349])]) ).

fof(f413,plain,
    n9 = sum(n6,n3),
    inference(cnf_transformation,[],[f2]) ).

fof(f2243,plain,
    spl122_348,
    inference(avatar_split_clause,[],[f98,f2240]) ).

fof(f2240,plain,
    ( spl122_348
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK53)))))))))))))))) = sK120 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_348])]) ).

fof(f98,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK53)))))))))))))))) = sK120,
    inference(cnf_transformation,[],[f2]) ).

fof(f2238,plain,
    spl122_347,
    inference(avatar_split_clause,[],[f446,f2235]) ).

fof(f2235,plain,
    ( spl122_347
  <=> n4 = sum(n10,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_347])]) ).

fof(f446,plain,
    n4 = sum(n10,n10),
    inference(cnf_transformation,[],[f2]) ).

fof(f2233,plain,
    spl122_346,
    inference(avatar_split_clause,[],[f154,f2230]) ).

fof(f2230,plain,
    ( spl122_346
  <=> sK53 = sum(pred(sK49),sum(succ(sK62),sum(pred(sK10),succ(sK75)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_346])]) ).

fof(f154,plain,
    sK53 = sum(pred(sK49),sum(succ(sK62),sum(pred(sK10),succ(sK75)))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2228,plain,
    spl122_345,
    inference(avatar_split_clause,[],[f344,f2225]) ).

fof(f2225,plain,
    ( spl122_345
  <=> sK25 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK31)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_345])]) ).

fof(f344,plain,
    sK25 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK31)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2223,plain,
    spl122_344,
    inference(avatar_split_clause,[],[f115,f2220]) ).

fof(f2220,plain,
    ( spl122_344
  <=> sum(sum(pred(sK110),succ(sK58)),sum(pred(sK58),succ(sK110))) = sK60 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_344])]) ).

fof(f115,plain,
    sum(sum(pred(sK110),succ(sK58)),sum(pred(sK58),succ(sK110))) = sK60,
    inference(cnf_transformation,[],[f2]) ).

fof(f2218,plain,
    spl122_343,
    inference(avatar_split_clause,[],[f430,f2215]) ).

fof(f2215,plain,
    ( spl122_343
  <=> sum(pred(sK121),sum(succ(sK40),sum(pred(sK69),succ(sK34)))) = sK101 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_343])]) ).

fof(f430,plain,
    sum(pred(sK121),sum(succ(sK40),sum(pred(sK69),succ(sK34)))) = sK101,
    inference(cnf_transformation,[],[f2]) ).

fof(f2213,plain,
    spl122_342,
    inference(avatar_split_clause,[],[f16,f2210]) ).

fof(f2210,plain,
    ( spl122_342
  <=> n9 = sum(n14,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_342])]) ).

fof(f16,plain,
    n9 = sum(n14,n11),
    inference(cnf_transformation,[],[f2]) ).

fof(f2208,plain,
    spl122_341,
    inference(avatar_split_clause,[],[f336,f2205]) ).

fof(f2205,plain,
    ( spl122_341
  <=> n2 = sum(n3,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_341])]) ).

fof(f336,plain,
    n2 = sum(n3,n15),
    inference(cnf_transformation,[],[f2]) ).

fof(f2203,plain,
    ~ spl122_340,
    inference(avatar_split_clause,[],[f9,f2200]) ).

fof(f2200,plain,
    ( spl122_340
  <=> n0 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_340])]) ).

fof(f9,plain,
    n0 != n12,
    inference(cnf_transformation,[],[f2]) ).

fof(f2198,plain,
    spl122_339,
    inference(avatar_split_clause,[],[f15,f2195]) ).

fof(f2195,plain,
    ( spl122_339
  <=> n0 = sum(n11,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_339])]) ).

fof(f15,plain,
    n0 = sum(n11,n5),
    inference(cnf_transformation,[],[f2]) ).

fof(f2193,plain,
    spl122_338,
    inference(avatar_split_clause,[],[f55,f2190]) ).

fof(f2190,plain,
    ( spl122_338
  <=> n1 = sum(n13,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_338])]) ).

fof(f55,plain,
    n1 = sum(n13,n4),
    inference(cnf_transformation,[],[f2]) ).

fof(f2188,plain,
    spl122_337,
    inference(avatar_split_clause,[],[f142,f2185]) ).

fof(f2185,plain,
    ( spl122_337
  <=> n15 = sum(n15,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_337])]) ).

fof(f142,plain,
    n15 = sum(n15,n0),
    inference(cnf_transformation,[],[f2]) ).

fof(f2183,plain,
    spl122_336,
    inference(avatar_split_clause,[],[f423,f2180]) ).

fof(f2180,plain,
    ( spl122_336
  <=> pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK83)))))))))))))))) = sK28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_336])]) ).

fof(f423,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK83)))))))))))))))) = sK28,
    inference(cnf_transformation,[],[f2]) ).

fof(f2178,plain,
    spl122_335,
    inference(avatar_split_clause,[],[f365,f2175]) ).

fof(f2175,plain,
    ( spl122_335
  <=> n13 = sum(n0,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_335])]) ).

fof(f365,plain,
    n13 = sum(n0,n13),
    inference(cnf_transformation,[],[f2]) ).

fof(f2173,plain,
    spl122_334,
    inference(avatar_split_clause,[],[f513,f2170]) ).

fof(f2170,plain,
    ( spl122_334
  <=> sK83 = sum(sum(pred(sK81),succ(sK31)),sum(pred(sK31),succ(sK81))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_334])]) ).

fof(f513,plain,
    sK83 = sum(sum(pred(sK81),succ(sK31)),sum(pred(sK31),succ(sK81))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2168,plain,
    spl122_333,
    inference(avatar_split_clause,[],[f471,f2165]) ).

fof(f2165,plain,
    ( spl122_333
  <=> n4 = sum(n13,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_333])]) ).

fof(f471,plain,
    n4 = sum(n13,n7),
    inference(cnf_transformation,[],[f2]) ).

fof(f2163,plain,
    spl122_332,
    inference(avatar_split_clause,[],[f520,f2160]) ).

fof(f2160,plain,
    ( spl122_332
  <=> n14 = sum(n8,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_332])]) ).

fof(f520,plain,
    n14 = sum(n8,n6),
    inference(cnf_transformation,[],[f2]) ).

fof(f2158,plain,
    spl122_331,
    inference(avatar_split_clause,[],[f65,f2155]) ).

fof(f2155,plain,
    ( spl122_331
  <=> sK31 = sum(pred(sK109),sum(succ(sK67),sum(pred(sK79),succ(sK46)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_331])]) ).

fof(f65,plain,
    sK31 = sum(pred(sK109),sum(succ(sK67),sum(pred(sK79),succ(sK46)))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2153,plain,
    ~ spl122_330,
    inference(avatar_split_clause,[],[f58,f2150]) ).

fof(f2150,plain,
    ( spl122_330
  <=> n3 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_330])]) ).

fof(f58,plain,
    n3 != n10,
    inference(cnf_transformation,[],[f2]) ).

fof(f2148,plain,
    ~ spl122_329,
    inference(avatar_split_clause,[],[f360,f2145]) ).

fof(f2145,plain,
    ( spl122_329
  <=> n3 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_329])]) ).

fof(f360,plain,
    n3 != n12,
    inference(cnf_transformation,[],[f2]) ).

fof(f2143,plain,
    ~ spl122_328,
    inference(avatar_split_clause,[],[f201,f2140]) ).

fof(f2140,plain,
    ( spl122_328
  <=> n4 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_328])]) ).

fof(f201,plain,
    n4 != n9,
    inference(cnf_transformation,[],[f2]) ).

fof(f2138,plain,
    spl122_327,
    inference(avatar_split_clause,[],[f35,f2135]) ).

fof(f2135,plain,
    ( spl122_327
  <=> n2 = sum(n7,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_327])]) ).

fof(f35,plain,
    n2 = sum(n7,n11),
    inference(cnf_transformation,[],[f2]) ).

fof(f2133,plain,
    spl122_326,
    inference(avatar_split_clause,[],[f387,f2130]) ).

fof(f2130,plain,
    ( spl122_326
  <=> n6 = sum(n1,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_326])]) ).

fof(f387,plain,
    n6 = sum(n1,n5),
    inference(cnf_transformation,[],[f2]) ).

fof(f2128,plain,
    ~ spl122_325,
    inference(avatar_split_clause,[],[f213,f2125]) ).

fof(f2125,plain,
    ( spl122_325
  <=> n7 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_325])]) ).

fof(f213,plain,
    n7 != n10,
    inference(cnf_transformation,[],[f2]) ).

fof(f2123,plain,
    spl122_324,
    inference(avatar_split_clause,[],[f77,f2120]) ).

fof(f2120,plain,
    ( spl122_324
  <=> n4 = sum(n14,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_324])]) ).

fof(f77,plain,
    n4 = sum(n14,n6),
    inference(cnf_transformation,[],[f2]) ).

fof(f2118,plain,
    spl122_323,
    inference(avatar_split_clause,[],[f243,f2115]) ).

fof(f2115,plain,
    ( spl122_323
  <=> n10 = sum(n14,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_323])]) ).

fof(f243,plain,
    n10 = sum(n14,n12),
    inference(cnf_transformation,[],[f2]) ).

fof(f2113,plain,
    spl122_322,
    inference(avatar_split_clause,[],[f422,f2110]) ).

fof(f2110,plain,
    ( spl122_322
  <=> n11 = sum(n1,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_322])]) ).

fof(f422,plain,
    n11 = sum(n1,n10),
    inference(cnf_transformation,[],[f2]) ).

fof(f2108,plain,
    spl122_321,
    inference(avatar_split_clause,[],[f83,f2105]) ).

fof(f2105,plain,
    ( spl122_321
  <=> sK19 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK68)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_321])]) ).

fof(f83,plain,
    sK19 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK68)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2103,plain,
    ~ spl122_320,
    inference(avatar_split_clause,[],[f47,f2100]) ).

fof(f2100,plain,
    ( spl122_320
  <=> n10 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_320])]) ).

fof(f47,plain,
    n10 != n15,
    inference(cnf_transformation,[],[f2]) ).

fof(f2098,plain,
    spl122_319,
    inference(avatar_split_clause,[],[f530,f2095]) ).

fof(f2095,plain,
    ( spl122_319
  <=> n3 = sum(n5,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_319])]) ).

fof(f530,plain,
    n3 = sum(n5,n14),
    inference(cnf_transformation,[],[f2]) ).

fof(f2093,plain,
    spl122_318,
    inference(avatar_split_clause,[],[f339,f2090]) ).

fof(f2090,plain,
    ( spl122_318
  <=> n8 = sum(n4,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_318])]) ).

fof(f339,plain,
    n8 = sum(n4,n4),
    inference(cnf_transformation,[],[f2]) ).

fof(f2088,plain,
    spl122_317,
    inference(avatar_split_clause,[],[f51,f2085]) ).

fof(f2085,plain,
    ( spl122_317
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK65)))))))))))))))) = sK85 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_317])]) ).

fof(f51,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK65)))))))))))))))) = sK85,
    inference(cnf_transformation,[],[f2]) ).

fof(f2083,plain,
    spl122_316,
    inference(avatar_split_clause,[],[f433,f2080]) ).

fof(f2080,plain,
    ( spl122_316
  <=> n10 = sum(n2,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_316])]) ).

fof(f433,plain,
    n10 = sum(n2,n8),
    inference(cnf_transformation,[],[f2]) ).

fof(f2078,plain,
    ~ spl122_315,
    inference(avatar_split_clause,[],[f434,f2075]) ).

fof(f2075,plain,
    ( spl122_315
  <=> n2 = n6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_315])]) ).

fof(f434,plain,
    n2 != n6,
    inference(cnf_transformation,[],[f2]) ).

fof(f2073,plain,
    ~ spl122_314,
    inference(avatar_split_clause,[],[f315,f2070]) ).

fof(f2070,plain,
    ( spl122_314
  <=> n2 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_314])]) ).

fof(f315,plain,
    n2 != n11,
    inference(cnf_transformation,[],[f2]) ).

fof(f2068,plain,
    spl122_313,
    inference(avatar_split_clause,[],[f351,f2065]) ).

fof(f2065,plain,
    ( spl122_313
  <=> n15 = sum(n3,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_313])]) ).

fof(f351,plain,
    n15 = sum(n3,n12),
    inference(cnf_transformation,[],[f2]) ).

fof(f2063,plain,
    ~ spl122_312,
    inference(avatar_split_clause,[],[f24,f2060]) ).

fof(f2060,plain,
    ( spl122_312
  <=> n6 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_312])]) ).

fof(f24,plain,
    n6 != n14,
    inference(cnf_transformation,[],[f2]) ).

fof(f2058,plain,
    spl122_311,
    inference(avatar_split_clause,[],[f394,f2055]) ).

fof(f2055,plain,
    ( spl122_311
  <=> sK105 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK89)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_311])]) ).

fof(f394,plain,
    sK105 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK89)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2053,plain,
    spl122_310,
    inference(avatar_split_clause,[],[f358,f2050]) ).

fof(f2050,plain,
    ( spl122_310
  <=> n4 = sum(n12,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_310])]) ).

fof(f358,plain,
    n4 = sum(n12,n8),
    inference(cnf_transformation,[],[f2]) ).

fof(f2048,plain,
    spl122_309,
    inference(avatar_split_clause,[],[f448,f2045]) ).

fof(f2045,plain,
    ( spl122_309
  <=> sum(sum(pred(sK103),succ(sK92)),sum(pred(sK92),succ(sK103))) = sK71 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_309])]) ).

fof(f448,plain,
    sum(sum(pred(sK103),succ(sK92)),sum(pred(sK92),succ(sK103))) = sK71,
    inference(cnf_transformation,[],[f2]) ).

fof(f2043,plain,
    spl122_308,
    inference(avatar_split_clause,[],[f329,f2040]) ).

fof(f2040,plain,
    ( spl122_308
  <=> n9 = sum(n0,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_308])]) ).

fof(f329,plain,
    n9 = sum(n0,n9),
    inference(cnf_transformation,[],[f2]) ).

fof(f2038,plain,
    ~ spl122_307,
    inference(avatar_split_clause,[],[f203,f2035]) ).

fof(f2035,plain,
    ( spl122_307
  <=> n6 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_307])]) ).

fof(f203,plain,
    n6 != n11,
    inference(cnf_transformation,[],[f2]) ).

fof(f2033,plain,
    ~ spl122_306,
    inference(avatar_split_clause,[],[f472,f2030]) ).

fof(f2030,plain,
    ( spl122_306
  <=> n8 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_306])]) ).

fof(f472,plain,
    n8 != n14,
    inference(cnf_transformation,[],[f2]) ).

fof(f2028,plain,
    spl122_305,
    inference(avatar_split_clause,[],[f409,f2025]) ).

fof(f2025,plain,
    ( spl122_305
  <=> n14 = sum(n3,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_305])]) ).

fof(f409,plain,
    n14 = sum(n3,n11),
    inference(cnf_transformation,[],[f2]) ).

fof(f2023,plain,
    spl122_304,
    inference(avatar_split_clause,[],[f135,f2020]) ).

fof(f2020,plain,
    ( spl122_304
  <=> n11 = sum(n10,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_304])]) ).

fof(f135,plain,
    n11 = sum(n10,n1),
    inference(cnf_transformation,[],[f2]) ).

fof(f2018,plain,
    spl122_303,
    inference(avatar_split_clause,[],[f289,f2015]) ).

fof(f2015,plain,
    ( spl122_303
  <=> sK70 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK66)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_303])]) ).

fof(f289,plain,
    sK70 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK66)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2013,plain,
    spl122_302,
    inference(avatar_split_clause,[],[f253,f2010]) ).

fof(f2010,plain,
    ( spl122_302
  <=> n7 = sum(n5,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_302])]) ).

fof(f253,plain,
    n7 = sum(n5,n2),
    inference(cnf_transformation,[],[f2]) ).

fof(f2008,plain,
    spl122_301,
    inference(avatar_split_clause,[],[f441,f2005]) ).

fof(f2005,plain,
    ( spl122_301
  <=> sK3 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK99)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_301])]) ).

fof(f441,plain,
    sK3 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK99)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2003,plain,
    spl122_300,
    inference(avatar_split_clause,[],[f502,f2000]) ).

fof(f2000,plain,
    ( spl122_300
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK89)))))))))))))))) = sK61 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_300])]) ).

fof(f502,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK89)))))))))))))))) = sK61,
    inference(cnf_transformation,[],[f2]) ).

fof(f1998,plain,
    spl122_299,
    inference(avatar_split_clause,[],[f504,f1995]) ).

fof(f1995,plain,
    ( spl122_299
  <=> n5 = sum(n5,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_299])]) ).

fof(f504,plain,
    n5 = sum(n5,n0),
    inference(cnf_transformation,[],[f2]) ).

fof(f1993,plain,
    spl122_298,
    inference(avatar_split_clause,[],[f117,f1990]) ).

fof(f1990,plain,
    ( spl122_298
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK81)))))))))))))))) = sK57 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_298])]) ).

fof(f117,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK81)))))))))))))))) = sK57,
    inference(cnf_transformation,[],[f2]) ).

fof(f1988,plain,
    spl122_297,
    inference(avatar_split_clause,[],[f66,f1985]) ).

fof(f1985,plain,
    ( spl122_297
  <=> sum(sum(pred(sK60),succ(sK37)),sum(pred(sK37),succ(sK60))) = sK21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_297])]) ).

fof(f66,plain,
    sum(sum(pred(sK60),succ(sK37)),sum(pred(sK37),succ(sK60))) = sK21,
    inference(cnf_transformation,[],[f2]) ).

fof(f1983,plain,
    ~ spl122_296,
    inference(avatar_split_clause,[],[f273,f1980]) ).

fof(f1980,plain,
    ( spl122_296
  <=> n0 = n1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_296])]) ).

fof(f273,plain,
    n0 != n1,
    inference(cnf_transformation,[],[f2]) ).

fof(f1978,plain,
    spl122_295,
    inference(avatar_split_clause,[],[f435,f1975]) ).

fof(f1975,plain,
    ( spl122_295
  <=> n12 = sum(n2,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_295])]) ).

fof(f435,plain,
    n12 = sum(n2,n10),
    inference(cnf_transformation,[],[f2]) ).

fof(f1973,plain,
    spl122_294,
    inference(avatar_split_clause,[],[f174,f1970]) ).

fof(f1970,plain,
    ( spl122_294
  <=> n8 = sum(n15,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_294])]) ).

fof(f174,plain,
    n8 = sum(n15,n9),
    inference(cnf_transformation,[],[f2]) ).

fof(f1968,plain,
    spl122_293,
    inference(avatar_split_clause,[],[f74,f1965]) ).

fof(f1965,plain,
    ( spl122_293
  <=> n1 = sum(n4,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_293])]) ).

fof(f74,plain,
    n1 = sum(n4,n13),
    inference(cnf_transformation,[],[f2]) ).

fof(f1963,plain,
    spl122_292,
    inference(avatar_split_clause,[],[f140,f1960]) ).

fof(f1960,plain,
    ( spl122_292
  <=> n8 = pred(n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_292])]) ).

fof(f140,plain,
    n8 = pred(n9),
    inference(cnf_transformation,[],[f2]) ).

fof(f1958,plain,
    spl122_291,
    inference(avatar_split_clause,[],[f521,f1955]) ).

fof(f1955,plain,
    ( spl122_291
  <=> n2 = sum(n9,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_291])]) ).

fof(f521,plain,
    n2 = sum(n9,n9),
    inference(cnf_transformation,[],[f2]) ).

fof(f1953,plain,
    spl122_290,
    inference(avatar_split_clause,[],[f288,f1950]) ).

fof(f1950,plain,
    ( spl122_290
  <=> n9 = sum(n10,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_290])]) ).

fof(f288,plain,
    n9 = sum(n10,n15),
    inference(cnf_transformation,[],[f2]) ).

fof(f1948,plain,
    spl122_289,
    inference(avatar_split_clause,[],[f169,f1945]) ).

fof(f1945,plain,
    ( spl122_289
  <=> n13 = pred(n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_289])]) ).

fof(f169,plain,
    n13 = pred(n14),
    inference(cnf_transformation,[],[f2]) ).

fof(f1943,plain,
    spl122_288,
    inference(avatar_split_clause,[],[f327,f1940]) ).

fof(f1940,plain,
    ( spl122_288
  <=> sK42 = sum(pred(sK119),sum(succ(sK39),sum(pred(sK54),succ(sK36)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_288])]) ).

fof(f327,plain,
    sK42 = sum(pred(sK119),sum(succ(sK39),sum(pred(sK54),succ(sK36)))),
    inference(cnf_transformation,[],[f2]) ).

fof(f1938,plain,
    ~ spl122_287,
    inference(avatar_split_clause,[],[f70,f1935]) ).

fof(f1935,plain,
    ( spl122_287
  <=> n5 = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_287])]) ).

fof(f70,plain,
    n5 != n7,
    inference(cnf_transformation,[],[f2]) ).

fof(f1933,plain,
    spl122_286,
    inference(avatar_split_clause,[],[f89,f1930]) ).

fof(f1930,plain,
    ( spl122_286
  <=> n14 = sum(n11,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_286])]) ).

fof(f89,plain,
    n14 = sum(n11,n3),
    inference(cnf_transformation,[],[f2]) ).

fof(f1928,plain,
    spl122_285,
    inference(avatar_split_clause,[],[f473,f1925]) ).

fof(f1925,plain,
    ( spl122_285
  <=> n10 = sum(n12,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_285])]) ).

fof(f473,plain,
    n10 = sum(n12,n14),
    inference(cnf_transformation,[],[f2]) ).

fof(f1923,plain,
    ~ spl122_284,
    inference(avatar_split_clause,[],[f110,f1920]) ).

fof(f1920,plain,
    ( spl122_284
  <=> n5 = n6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_284])]) ).

fof(f110,plain,
    n5 != n6,
    inference(cnf_transformation,[],[f2]) ).

fof(f1918,plain,
    ~ spl122_283,
    inference(avatar_split_clause,[],[f111,f1915]) ).

fof(f1915,plain,
    ( spl122_283
  <=> n1 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_283])]) ).

fof(f111,plain,
    n1 != n9,
    inference(cnf_transformation,[],[f2]) ).

fof(f1913,plain,
    spl122_282,
    inference(avatar_split_clause,[],[f132,f1910]) ).

fof(f1910,plain,
    ( spl122_282
  <=> n9 = sum(n13,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_282])]) ).

fof(f132,plain,
    n9 = sum(n13,n12),
    inference(cnf_transformation,[],[f2]) ).

fof(f1908,plain,
    ~ spl122_281,
    inference(avatar_split_clause,[],[f301,f1905]) ).

fof(f1905,plain,
    ( spl122_281
  <=> n4 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_281])]) ).

fof(f301,plain,
    n4 != n12,
    inference(cnf_transformation,[],[f2]) ).

fof(f1903,plain,
    spl122_280,
    inference(avatar_split_clause,[],[f26,f1900]) ).

fof(f1900,plain,
    ( spl122_280
  <=> n1 = sum(n0,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_280])]) ).

fof(f26,plain,
    n1 = sum(n0,n1),
    inference(cnf_transformation,[],[f2]) ).

fof(f1898,plain,
    spl122_279,
    inference(avatar_split_clause,[],[f516,f1895]) ).

fof(f1895,plain,
    ( spl122_279
  <=> sK8 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK104)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_279])]) ).

fof(f516,plain,
    sK8 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK104)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f1893,plain,
    spl122_278,
    inference(avatar_split_clause,[],[f12,f1890]) ).

fof(f1890,plain,
    ( spl122_278
  <=> n6 = sum(n5,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_278])]) ).

fof(f12,plain,
    n6 = sum(n5,n1),
    inference(cnf_transformation,[],[f2]) ).

fof(f1888,plain,
    spl122_277,
    inference(avatar_split_clause,[],[f458,f1885]) ).

fof(f1885,plain,
    ( spl122_277
  <=> n8 = sum(n3,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_277])]) ).

fof(f458,plain,
    n8 = sum(n3,n5),
    inference(cnf_transformation,[],[f2]) ).

fof(f1883,plain,
    spl122_276,
    inference(avatar_split_clause,[],[f319,f1880]) ).

fof(f1880,plain,
    ( spl122_276
  <=> pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK20)))))))))))))))) = sK22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_276])]) ).

fof(f319,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK20)))))))))))))))) = sK22,
    inference(cnf_transformation,[],[f2]) ).

fof(f1878,plain,
    spl122_275,
    inference(avatar_split_clause,[],[f529,f1875]) ).

fof(f1875,plain,
    ( spl122_275
  <=> sK50 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK91)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_275])]) ).

fof(f529,plain,
    sK50 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK91)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f1873,plain,
    spl122_274,
    inference(avatar_split_clause,[],[f328,f1870]) ).

fof(f1870,plain,
    ( spl122_274
  <=> n11 = sum(n0,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_274])]) ).

fof(f328,plain,
    n11 = sum(n0,n11),
    inference(cnf_transformation,[],[f2]) ).

fof(f1868,plain,
    spl122_273,
    inference(avatar_split_clause,[],[f158,f1865]) ).

fof(f1865,plain,
    ( spl122_273
  <=> sum(sum(pred(sK56),succ(sK89)),sum(pred(sK89),succ(sK56))) = sK110 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_273])]) ).

fof(f158,plain,
    sum(sum(pred(sK56),succ(sK89)),sum(pred(sK89),succ(sK56))) = sK110,
    inference(cnf_transformation,[],[f2]) ).

fof(f1863,plain,
    spl122_272,
    inference(avatar_split_clause,[],[f173,f1860]) ).

fof(f1860,plain,
    ( spl122_272
  <=> n15 = sum(n6,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_272])]) ).

fof(f173,plain,
    n15 = sum(n6,n9),
    inference(cnf_transformation,[],[f2]) ).

fof(f1858,plain,
    ~ spl122_271,
    inference(avatar_split_clause,[],[f465,f1855]) ).

fof(f1855,plain,
    ( spl122_271
  <=> n5 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_271])]) ).

fof(f465,plain,
    n5 != n11,
    inference(cnf_transformation,[],[f2]) ).

fof(f1853,plain,
    spl122_270,
    inference(avatar_split_clause,[],[f309,f1850]) ).

fof(f1850,plain,
    ( spl122_270
  <=> n10 = sum(n11,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_270])]) ).

fof(f309,plain,
    n10 = sum(n11,n15),
    inference(cnf_transformation,[],[f2]) ).

fof(f1848,plain,
    spl122_269,
    inference(avatar_split_clause,[],[f32,f1845]) ).

fof(f1845,plain,
    ( spl122_269
  <=> n12 = sum(n4,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_269])]) ).

fof(f32,plain,
    n12 = sum(n4,n8),
    inference(cnf_transformation,[],[f2]) ).

fof(f1843,plain,
    spl122_268,
    inference(avatar_split_clause,[],[f264,f1840]) ).

fof(f1840,plain,
    ( spl122_268
  <=> succ(n2) = n3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_268])]) ).

fof(f264,plain,
    succ(n2) = n3,
    inference(cnf_transformation,[],[f2]) ).

fof(f1838,plain,
    ~ spl122_267,
    inference(avatar_split_clause,[],[f270,f1835]) ).

fof(f1835,plain,
    ( spl122_267
  <=> n3 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_267])]) ).

fof(f270,plain,
    n3 != n15,
    inference(cnf_transformation,[],[f2]) ).

fof(f1833,plain,
    spl122_266,
    inference(avatar_split_clause,[],[f46,f1830]) ).

fof(f1830,plain,
    ( spl122_266
  <=> n1 = pred(n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_266])]) ).

fof(f46,plain,
    n1 = pred(n2),
    inference(cnf_transformation,[],[f2]) ).

fof(f1828,plain,
    spl122_265,
    inference(avatar_split_clause,[],[f303,f1825]) ).

fof(f1825,plain,
    ( spl122_265
  <=> sK36 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK63)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_265])]) ).

fof(f303,plain,
    sK36 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK63)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f1823,plain,
    spl122_264,
    inference(avatar_split_clause,[],[f8,f1820]) ).

fof(f1820,plain,
    ( spl122_264
  <=> pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK16)))))))))))))))) = sK45 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_264])]) ).

fof(f8,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK16)))))))))))))))) = sK45,
    inference(cnf_transformation,[],[f2]) ).

fof(f1818,plain,
    spl122_263,
    inference(avatar_split_clause,[],[f460,f1815]) ).

fof(f1815,plain,
    ( spl122_263
  <=> sK32 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK110)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_263])]) ).

fof(f460,plain,
    sK32 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK110)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f1813,plain,
    spl122_262,
    inference(avatar_split_clause,[],[f239,f1810]) ).

fof(f1810,plain,
    ( spl122_262
  <=> n11 = sum(n13,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_262])]) ).

fof(f239,plain,
    n11 = sum(n13,n14),
    inference(cnf_transformation,[],[f2]) ).

fof(f1808,plain,
    spl122_261,
    inference(avatar_split_clause,[],[f317,f1805]) ).

fof(f1805,plain,
    ( spl122_261
  <=> sK4 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK56)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_261])]) ).

fof(f317,plain,
    sK4 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK56)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f1803,plain,
    ~ spl122_260,
    inference(avatar_split_clause,[],[f155,f1800]) ).

fof(f1800,plain,
    ( spl122_260
  <=> n4 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_260])]) ).

fof(f155,plain,
    n4 != n11,
    inference(cnf_transformation,[],[f2]) ).

fof(f1798,plain,
    spl122_259,
    inference(avatar_split_clause,[],[f131,f1795]) ).

fof(f1795,plain,
    ( spl122_259
  <=> n7 = sum(n2,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_259])]) ).

fof(f131,plain,
    n7 = sum(n2,n5),
    inference(cnf_transformation,[],[f2]) ).

fof(f1793,plain,
    spl122_258,
    inference(avatar_split_clause,[],[f400,f1790]) ).

fof(f1790,plain,
    ( spl122_258
  <=> n3 = sum(n1,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_258])]) ).

fof(f400,plain,
    n3 = sum(n1,n2),
    inference(cnf_transformation,[],[f2]) ).

fof(f1788,plain,
    spl122_257,
    inference(avatar_split_clause,[],[f95,f1785]) ).

fof(f1785,plain,
    ( spl122_257
  <=> n6 = sum(n7,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_257])]) ).

fof(f95,plain,
    n6 = sum(n7,n15),
    inference(cnf_transformation,[],[f2]) ).

fof(f1783,plain,
    ~ spl122_256,
    inference(avatar_split_clause,[],[f160,f1780]) ).

fof(f1780,plain,
    ( spl122_256
  <=> n1 = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_256])]) ).

fof(f160,plain,
    n1 != n7,
    inference(cnf_transformation,[],[f2]) ).

fof(f1778,plain,
    spl122_255,
    inference(avatar_split_clause,[],[f53,f1775]) ).

fof(f1775,plain,
    ( spl122_255
  <=> n2 = sum(n13,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_255])]) ).

fof(f53,plain,
    n2 = sum(n13,n5),
    inference(cnf_transformation,[],[f2]) ).

fof(f1773,plain,
    spl122_254,
    inference(avatar_split_clause,[],[f261,f1770]) ).

fof(f1770,plain,
    ( spl122_254
  <=> n6 = sum(n10,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_254])]) ).

fof(f261,plain,
    n6 = sum(n10,n12),
    inference(cnf_transformation,[],[f2]) ).

fof(f1768,plain,
    spl122_253,
    inference(avatar_split_clause,[],[f354,f1765]) ).

fof(f1765,plain,
    ( spl122_253
  <=> n7 = sum(n1,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_253])]) ).

fof(f354,plain,
    n7 = sum(n1,n6),
    inference(cnf_transformation,[],[f2]) ).

fof(f1763,plain,
    spl122_252,
    inference(avatar_split_clause,[],[f438,f1760]) ).

fof(f1760,plain,
    ( spl122_252
  <=> n11 = sum(n15,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_252])]) ).

fof(f438,plain,
    n11 = sum(n15,n12),
    inference(cnf_transformation,[],[f2]) ).

fof(f1758,plain,
    spl122_251,
    inference(avatar_split_clause,[],[f221,f1755]) ).

fof(f1755,plain,
    ( spl122_251
  <=> succ(n13) = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_251])]) ).

fof(f221,plain,
    succ(n13) = n14,
    inference(cnf_transformation,[],[f2]) ).

fof(f1753,plain,
    spl122_250,
    inference(avatar_split_clause,[],[f346,f1750]) ).

fof(f1750,plain,
    ( spl122_250
  <=> succ(n9) = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_250])]) ).

fof(f346,plain,
    succ(n9) = n10,
    inference(cnf_transformation,[],[f2]) ).

fof(f1748,plain,
    spl122_249,
    inference(avatar_split_clause,[],[f386,f1745]) ).

fof(f1745,plain,
    ( spl122_249
  <=> n15 = sum(n10,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_249])]) ).

fof(f386,plain,
    n15 = sum(n10,n5),
    inference(cnf_transformation,[],[f2]) ).

fof(f1743,plain,
    spl122_248,
    inference(avatar_split_clause,[],[f291,f1740]) ).

fof(f1740,plain,
    ( spl122_248
  <=> n10 = sum(n0,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_248])]) ).

fof(f291,plain,
    n10 = sum(n0,n10),
    inference(cnf_transformation,[],[f2]) ).

fof(f1738,plain,
    spl122_247,
    inference(avatar_split_clause,[],[f452,f1735]) ).

fof(f1735,plain,
    ( spl122_247
  <=> n5 = pred(n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_247])]) ).

fof(f452,plain,
    n5 = pred(n6),
    inference(cnf_transformation,[],[f2]) ).

fof(f1733,plain,
    spl122_246,
    inference(avatar_split_clause,[],[f340,f1730]) ).

fof(f1730,plain,
    ( spl122_246
  <=> n14 = sum(n10,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_246])]) ).

fof(f340,plain,
    n14 = sum(n10,n4),
    inference(cnf_transformation,[],[f2]) ).

fof(f1728,plain,
    ~ spl122_245,
    inference(avatar_split_clause,[],[f123,f1725]) ).

fof(f1725,plain,
    ( spl122_245
  <=> n4 = n5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_245])]) ).

fof(f123,plain,
    n4 != n5,
    inference(cnf_transformation,[],[f2]) ).

fof(f1723,plain,
    ~ spl122_244,
    inference(avatar_split_clause,[],[f238,f1720]) ).

fof(f1720,plain,
    ( spl122_244
  <=> n10 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_244])]) ).

fof(f238,plain,
    n10 != n14,
    inference(cnf_transformation,[],[f2]) ).

fof(f1718,plain,
    spl122_243,
    inference(avatar_split_clause,[],[f50,f1715]) ).

fof(f1715,plain,
    ( spl122_243
  <=> n1 = sum(n11,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_243])]) ).

fof(f50,plain,
    n1 = sum(n11,n6),
    inference(cnf_transformation,[],[f2]) ).

fof(f1713,plain,
    spl122_242,
    inference(avatar_split_clause,[],[f126,f1710]) ).

fof(f1710,plain,
    ( spl122_242
  <=> succ(n11) = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_242])]) ).

fof(f126,plain,
    succ(n11) = n12,
    inference(cnf_transformation,[],[f2]) ).

fof(f1708,plain,
    spl122_241,
    inference(avatar_split_clause,[],[f101,f1705]) ).

fof(f1705,plain,
    ( spl122_241
  <=> n10 = sum(n6,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_241])]) ).

fof(f101,plain,
    n10 = sum(n6,n4),
    inference(cnf_transformation,[],[f2]) ).

fof(f1703,plain,
    spl122_240,
    inference(avatar_split_clause,[],[f499,f1700]) ).

fof(f1700,plain,
    ( spl122_240
  <=> sum(sum(pred(sK38),succ(sK53)),sum(pred(sK53),succ(sK38))) = sK88 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_240])]) ).

fof(f499,plain,
    sum(sum(pred(sK38),succ(sK53)),sum(pred(sK53),succ(sK38))) = sK88,
    inference(cnf_transformation,[],[f2]) ).

fof(f1698,plain,
    ~ spl122_239,
    inference(avatar_split_clause,[],[f42,f1695]) ).

fof(f1695,plain,
    ( spl122_239
  <=> n8 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_239])]) ).

fof(f42,plain,
    n8 != n10,
    inference(cnf_transformation,[],[f2]) ).

fof(f1693,plain,
    spl122_238,
    inference(avatar_split_clause,[],[f287,f1690]) ).

fof(f1690,plain,
    ( spl122_238
  <=> n0 = sum(n5,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_238])]) ).

fof(f287,plain,
    n0 = sum(n5,n11),
    inference(cnf_transformation,[],[f2]) ).

fof(f1688,plain,
    ~ spl122_237,
    inference(avatar_split_clause,[],[f88,f1685]) ).

fof(f1685,plain,
    ( spl122_237
  <=> n8 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_237])]) ).

fof(f88,plain,
    n8 != n13,
    inference(cnf_transformation,[],[f2]) ).

fof(f1683,plain,
    spl122_236,
    inference(avatar_split_clause,[],[f322,f1680]) ).

fof(f1680,plain,
    ( spl122_236
  <=> sK81 = sum(sum(pred(sK88),succ(sK94)),sum(pred(sK94),succ(sK88))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_236])]) ).

fof(f322,plain,
    sK81 = sum(sum(pred(sK88),succ(sK94)),sum(pred(sK94),succ(sK88))),
    inference(cnf_transformation,[],[f2]) ).

fof(f1678,plain,
    spl122_235,
    inference(avatar_split_clause,[],[f512,f1675]) ).

fof(f1675,plain,
    ( spl122_235
  <=> n3 = sum(n0,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_235])]) ).

fof(f512,plain,
    n3 = sum(n0,n3),
    inference(cnf_transformation,[],[f2]) ).

fof(f1673,plain,
    spl122_234,
    inference(avatar_split_clause,[],[f525,f1670]) ).

fof(f1670,plain,
    ( spl122_234
  <=> n14 = sum(n5,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_234])]) ).

fof(f525,plain,
    n14 = sum(n5,n9),
    inference(cnf_transformation,[],[f2]) ).

fof(f1668,plain,
    spl122_233,
    inference(avatar_split_clause,[],[f349,f1665]) ).

fof(f1665,plain,
    ( spl122_233
  <=> sK0 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK20)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_233])]) ).

fof(f349,plain,
    sK0 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK20)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f1663,plain,
    spl122_232,
    inference(avatar_split_clause,[],[f325,f1660]) ).

fof(f1660,plain,
    ( spl122_232
  <=> n14 = sum(n14,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_232])]) ).

fof(f325,plain,
    n14 = sum(n14,n0),
    inference(cnf_transformation,[],[f2]) ).

fof(f1658,plain,
    spl122_231,
    inference(avatar_split_clause,[],[f235,f1655]) ).

fof(f1655,plain,
    ( spl122_231
  <=> sK97 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK58)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_231])]) ).

fof(f235,plain,
    sK97 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK58)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f1653,plain,
    spl122_230,
    inference(avatar_split_clause,[],[f330,f1650]) ).

fof(f1650,plain,
    ( spl122_230
  <=> n14 = sum(n0,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_230])]) ).

fof(f330,plain,
    n14 = sum(n0,n14),
    inference(cnf_transformation,[],[f2]) ).

fof(f1648,plain,
    ~ spl122_229,
    inference(avatar_split_clause,[],[f350,f1645]) ).

fof(f1645,plain,
    ( spl122_229
  <=> n4 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_229])]) ).

fof(f350,plain,
    n4 != n14,
    inference(cnf_transformation,[],[f2]) ).

fof(f1643,plain,
    spl122_228,
    inference(avatar_split_clause,[],[f94,f1640]) ).

fof(f1640,plain,
    ( spl122_228
  <=> succ(n0) = n1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_228])]) ).

fof(f94,plain,
    succ(n0) = n1,
    inference(cnf_transformation,[],[f2]) ).

fof(f1638,plain,
    ~ spl122_227,
    inference(avatar_split_clause,[],[f161,f1635]) ).

fof(f1635,plain,
    ( spl122_227
  <=> n7 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_227])]) ).

fof(f161,plain,
    n7 != n13,
    inference(cnf_transformation,[],[f2]) ).

fof(f1633,plain,
    spl122_226,
    inference(avatar_split_clause,[],[f63,f1630]) ).

fof(f1630,plain,
    ( spl122_226
  <=> n8 = sum(n5,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_226])]) ).

fof(f63,plain,
    n8 = sum(n5,n3),
    inference(cnf_transformation,[],[f2]) ).

fof(f1628,plain,
    ~ spl122_225,
    inference(avatar_split_clause,[],[f212,f1625]) ).

fof(f1625,plain,
    ( spl122_225
  <=> n2 = n3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_225])]) ).

fof(f212,plain,
    n2 != n3,
    inference(cnf_transformation,[],[f2]) ).

fof(f1623,plain,
    spl122_224,
    inference(avatar_split_clause,[],[f281,f1620]) ).

fof(f1620,plain,
    ( spl122_224
  <=> n9 = sum(n3,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_224])]) ).

fof(f281,plain,
    n9 = sum(n3,n6),
    inference(cnf_transformation,[],[f2]) ).

fof(f1618,plain,
    spl122_223,
    inference(avatar_split_clause,[],[f186,f1615]) ).

fof(f1615,plain,
    ( spl122_223
  <=> n2 = sum(n8,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_223])]) ).

fof(f186,plain,
    n2 = sum(n8,n10),
    inference(cnf_transformation,[],[f2]) ).

fof(f1613,plain,
    spl122_222,
    inference(avatar_split_clause,[],[f485,f1610]) ).

fof(f1610,plain,
    ( spl122_222
  <=> sum(sum(pred(sK83),succ(sK66)),sum(pred(sK66),succ(sK83))) = sK43 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_222])]) ).

fof(f485,plain,
    sum(sum(pred(sK83),succ(sK66)),sum(pred(sK66),succ(sK83))) = sK43,
    inference(cnf_transformation,[],[f2]) ).

fof(f1608,plain,
    spl122_221,
    inference(avatar_split_clause,[],[f125,f1605]) ).

fof(f1605,plain,
    ( spl122_221
  <=> n12 = sum(n7,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_221])]) ).

fof(f125,plain,
    n12 = sum(n7,n5),
    inference(cnf_transformation,[],[f2]) ).

fof(f1603,plain,
    spl122_220,
    inference(avatar_split_clause,[],[f323,f1600]) ).

fof(f1600,plain,
    ( spl122_220
  <=> n2 = pred(n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_220])]) ).

fof(f323,plain,
    n2 = pred(n3),
    inference(cnf_transformation,[],[f2]) ).

fof(f1598,plain,
    ~ spl122_219,
    inference(avatar_split_clause,[],[f87,f1595]) ).

fof(f1595,plain,
    ( spl122_219
  <=> n0 = n2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_219])]) ).

fof(f87,plain,
    n0 != n2,
    inference(cnf_transformation,[],[f2]) ).

fof(f1593,plain,
    spl122_218,
    inference(avatar_split_clause,[],[f196,f1590]) ).

fof(f1590,plain,
    ( spl122_218
  <=> sum(pred(sK82),sum(succ(sK1),sum(pred(sK24),succ(sK78)))) = sK89 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_218])]) ).

fof(f196,plain,
    sum(pred(sK82),sum(succ(sK1),sum(pred(sK24),succ(sK78)))) = sK89,
    inference(cnf_transformation,[],[f2]) ).

fof(f1588,plain,
    spl122_217,
    inference(avatar_split_clause,[],[f482,f1585]) ).

fof(f1585,plain,
    ( spl122_217
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK58)))))))))))))))) = sK18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_217])]) ).

fof(f482,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK58)))))))))))))))) = sK18,
    inference(cnf_transformation,[],[f2]) ).

fof(f1583,plain,
    spl122_216,
    inference(avatar_split_clause,[],[f296,f1580]) ).

fof(f1580,plain,
    ( spl122_216
  <=> n8 = sum(n1,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_216])]) ).

fof(f296,plain,
    n8 = sum(n1,n7),
    inference(cnf_transformation,[],[f2]) ).

fof(f1578,plain,
    spl122_215,
    inference(avatar_split_clause,[],[f474,f1575]) ).

fof(f1575,plain,
    ( spl122_215
  <=> n7 = sum(n9,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_215])]) ).

fof(f474,plain,
    n7 = sum(n9,n14),
    inference(cnf_transformation,[],[f2]) ).

fof(f1573,plain,
    ~ spl122_214,
    inference(avatar_split_clause,[],[f76,f1570]) ).

fof(f1570,plain,
    ( spl122_214
  <=> n0 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_214])]) ).

fof(f76,plain,
    n0 != n14,
    inference(cnf_transformation,[],[f2]) ).

fof(f1568,plain,
    ~ spl122_213,
    inference(avatar_split_clause,[],[f237,f1565]) ).

fof(f1565,plain,
    ( spl122_213
  <=> n0 = n3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_213])]) ).

fof(f237,plain,
    n0 != n3,
    inference(cnf_transformation,[],[f2]) ).

fof(f1563,plain,
    spl122_212,
    inference(avatar_split_clause,[],[f112,f1560]) ).

fof(f1560,plain,
    ( spl122_212
  <=> n15 = sum(n2,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_212])]) ).

fof(f112,plain,
    n15 = sum(n2,n13),
    inference(cnf_transformation,[],[f2]) ).

fof(f1558,plain,
    spl122_211,
    inference(avatar_split_clause,[],[f265,f1555]) ).

fof(f1555,plain,
    ( spl122_211
  <=> n3 = sum(n11,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_211])]) ).

fof(f265,plain,
    n3 = sum(n11,n8),
    inference(cnf_transformation,[],[f2]) ).

fof(f1553,plain,
    spl122_210,
    inference(avatar_split_clause,[],[f366,f1550]) ).

fof(f1550,plain,
    ( spl122_210
  <=> n1 = sum(n9,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_210])]) ).

fof(f366,plain,
    n1 = sum(n9,n8),
    inference(cnf_transformation,[],[f2]) ).

fof(f1548,plain,
    ~ spl122_209,
    inference(avatar_split_clause,[],[f106,f1545]) ).

fof(f1545,plain,
    ( spl122_209
  <=> n1 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_209])]) ).

fof(f106,plain,
    n1 != n8,
    inference(cnf_transformation,[],[f2]) ).

fof(f1543,plain,
    spl122_208,
    inference(avatar_split_clause,[],[f382,f1540]) ).

fof(f1540,plain,
    ( spl122_208
  <=> n10 = sum(n3,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_208])]) ).

fof(f382,plain,
    n10 = sum(n3,n7),
    inference(cnf_transformation,[],[f2]) ).

fof(f1538,plain,
    ~ spl122_207,
    inference(avatar_split_clause,[],[f440,f1535]) ).

fof(f1535,plain,
    ( spl122_207
  <=> n2 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_207])]) ).

fof(f440,plain,
    n2 != n14,
    inference(cnf_transformation,[],[f2]) ).

fof(f1533,plain,
    spl122_206,
    inference(avatar_split_clause,[],[f28,f1530]) ).

fof(f1530,plain,
    ( spl122_206
  <=> n2 = sum(n14,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_206])]) ).

fof(f28,plain,
    n2 = sum(n14,n4),
    inference(cnf_transformation,[],[f2]) ).

fof(f1528,plain,
    spl122_205,
    inference(avatar_split_clause,[],[f116,f1525]) ).

fof(f1525,plain,
    ( spl122_205
  <=> pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK47)))))))))))))))) = sK55 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_205])]) ).

fof(f116,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK47)))))))))))))))) = sK55,
    inference(cnf_transformation,[],[f2]) ).

fof(f1523,plain,
    spl122_204,
    inference(avatar_split_clause,[],[f425,f1520]) ).

fof(f1520,plain,
    ( spl122_204
  <=> sum(pred(sK48),sum(succ(sK116),sum(pred(sK3),succ(sK64)))) = sK65 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_204])]) ).

fof(f425,plain,
    sum(pred(sK48),sum(succ(sK116),sum(pred(sK3),succ(sK64)))) = sK65,
    inference(cnf_transformation,[],[f2]) ).

fof(f1518,plain,
    spl122_203,
    inference(avatar_split_clause,[],[f20,f1515]) ).

fof(f1515,plain,
    ( spl122_203
  <=> n15 = sum(n14,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_203])]) ).

fof(f20,plain,
    n15 = sum(n14,n1),
    inference(cnf_transformation,[],[f2]) ).

fof(f1513,plain,
    spl122_202,
    inference(avatar_split_clause,[],[f363,f1510]) ).

fof(f1510,plain,
    ( spl122_202
  <=> n14 = sum(n2,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_202])]) ).

fof(f363,plain,
    n14 = sum(n2,n12),
    inference(cnf_transformation,[],[f2]) ).

fof(f1508,plain,
    spl122_201,
    inference(avatar_split_clause,[],[f163,f1505]) ).

fof(f1505,plain,
    ( spl122_201
  <=> n13 = sum(n11,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_201])]) ).

fof(f163,plain,
    n13 = sum(n11,n2),
    inference(cnf_transformation,[],[f2]) ).

fof(f1503,plain,
    spl122_200,
    inference(avatar_split_clause,[],[f343,f1500]) ).

fof(f1500,plain,
    ( spl122_200
  <=> pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK21)))))))))))))))) = sK39 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_200])]) ).

fof(f343,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK21)))))))))))))))) = sK39,
    inference(cnf_transformation,[],[f2]) ).

fof(f1498,plain,
    spl122_199,
    inference(avatar_split_clause,[],[f109,f1495]) ).

fof(f1495,plain,
    ( spl122_199
  <=> n5 = sum(n9,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_199])]) ).

fof(f109,plain,
    n5 = sum(n9,n12),
    inference(cnf_transformation,[],[f2]) ).

fof(f1493,plain,
    spl122_198,
    inference(avatar_split_clause,[],[f376,f1490]) ).

fof(f1490,plain,
    ( spl122_198
  <=> pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK108)))))))))))))))) = sK12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_198])]) ).

fof(f376,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK108)))))))))))))))) = sK12,
    inference(cnf_transformation,[],[f2]) ).

fof(f1488,plain,
    spl122_197,
    inference(avatar_split_clause,[],[f252,f1485]) ).

fof(f1485,plain,
    ( spl122_197
  <=> n3 = sum(n14,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_197])]) ).

fof(f252,plain,
    n3 = sum(n14,n5),
    inference(cnf_transformation,[],[f2]) ).

fof(f1483,plain,
    ~ spl122_196,
    inference(avatar_split_clause,[],[f84,f1480]) ).

fof(f1480,plain,
    ( spl122_196
  <=> n1 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_196])]) ).

fof(f84,plain,
    n1 != n13,
    inference(cnf_transformation,[],[f2]) ).

fof(f1478,plain,
    spl122_195,
    inference(avatar_split_clause,[],[f306,f1475]) ).

fof(f1475,plain,
    ( spl122_195
  <=> n13 = sum(n10,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_195])]) ).

fof(f306,plain,
    n13 = sum(n10,n3),
    inference(cnf_transformation,[],[f2]) ).

fof(f1473,plain,
    spl122_194,
    inference(avatar_split_clause,[],[f69,f1470]) ).

fof(f1470,plain,
    ( spl122_194
  <=> n12 = sum(n1,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_194])]) ).

fof(f69,plain,
    n12 = sum(n1,n11),
    inference(cnf_transformation,[],[f2]) ).

fof(f1468,plain,
    spl122_193,
    inference(avatar_split_clause,[],[f431,f1465]) ).

fof(f1465,plain,
    ( spl122_193
  <=> n0 = sum(n12,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_193])]) ).

fof(f431,plain,
    n0 = sum(n12,n4),
    inference(cnf_transformation,[],[f2]) ).

fof(f1463,plain,
    ~ spl122_192,
    inference(avatar_split_clause,[],[f67,f1460]) ).

fof(f1460,plain,
    ( spl122_192
  <=> n7 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_192])]) ).

fof(f67,plain,
    n7 != n14,
    inference(cnf_transformation,[],[f2]) ).

fof(f1458,plain,
    spl122_191,
    inference(avatar_split_clause,[],[f220,f1455]) ).

fof(f1455,plain,
    ( spl122_191
  <=> n0 = succ(n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_191])]) ).

fof(f220,plain,
    n0 = succ(n15),
    inference(cnf_transformation,[],[f2]) ).

fof(f1453,plain,
    spl122_190,
    inference(avatar_split_clause,[],[f373,f1450]) ).

fof(f1450,plain,
    ( spl122_190
  <=> n13 = sum(n3,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_190])]) ).

fof(f373,plain,
    n13 = sum(n3,n10),
    inference(cnf_transformation,[],[f2]) ).

fof(f1448,plain,
    ~ spl122_189,
    inference(avatar_split_clause,[],[f181,f1445]) ).

fof(f1445,plain,
    ( spl122_189
  <=> n1 = n4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_189])]) ).

fof(f181,plain,
    n1 != n4,
    inference(cnf_transformation,[],[f2]) ).

fof(f1443,plain,
    ~ spl122_188,
    inference(avatar_split_clause,[],[f45,f1440]) ).

fof(f1440,plain,
    ( spl122_188
  <=> n2 = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_188])]) ).

fof(f45,plain,
    n2 != n7,
    inference(cnf_transformation,[],[f2]) ).

fof(f1438,plain,
    spl122_187,
    inference(avatar_split_clause,[],[f92,f1435]) ).

fof(f1435,plain,
    ( spl122_187
  <=> n7 = sum(n0,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_187])]) ).

fof(f92,plain,
    n7 = sum(n0,n7),
    inference(cnf_transformation,[],[f2]) ).

fof(f1433,plain,
    spl122_186,
    inference(avatar_split_clause,[],[f48,f1430]) ).

fof(f1430,plain,
    ( spl122_186
  <=> sum(pred(sK11),sum(succ(sK19),sum(pred(sK114),succ(sK29)))) = sK76 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_186])]) ).

fof(f48,plain,
    sum(pred(sK11),sum(succ(sK19),sum(pred(sK114),succ(sK29)))) = sK76,
    inference(cnf_transformation,[],[f2]) ).

fof(f1428,plain,
    ~ spl122_185,
    inference(avatar_split_clause,[],[f99,f1425]) ).

fof(f1425,plain,
    ( spl122_185
  <=> n2 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_185])]) ).

fof(f99,plain,
    n2 != n13,
    inference(cnf_transformation,[],[f2]) ).

fof(f1423,plain,
    spl122_184,
    inference(avatar_split_clause,[],[f248,f1420]) ).

fof(f1420,plain,
    ( spl122_184
  <=> n7 = sum(n4,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_184])]) ).

fof(f248,plain,
    n7 = sum(n4,n3),
    inference(cnf_transformation,[],[f2]) ).

fof(f1418,plain,
    spl122_183,
    inference(avatar_split_clause,[],[f36,f1415]) ).

fof(f1415,plain,
    ( spl122_183
  <=> n2 = sum(n1,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_183])]) ).

fof(f36,plain,
    n2 = sum(n1,n1),
    inference(cnf_transformation,[],[f2]) ).

fof(f1413,plain,
    ~ spl122_182,
    inference(avatar_split_clause,[],[f451,f1410]) ).

fof(f1410,plain,
    ( spl122_182
  <=> n7 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_182])]) ).

fof(f451,plain,
    n7 != n11,
    inference(cnf_transformation,[],[f2]) ).

fof(f1408,plain,
    spl122_181,
    inference(avatar_split_clause,[],[f232,f1405]) ).

fof(f1405,plain,
    ( spl122_181
  <=> sK96 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK44)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_181])]) ).

fof(f232,plain,
    sK96 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK44)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f1403,plain,
    ~ spl122_180,
    inference(avatar_split_clause,[],[f375,f1400]) ).

fof(f1400,plain,
    ( spl122_180
  <=> n8 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_180])]) ).

fof(f375,plain,
    n8 != n15,
    inference(cnf_transformation,[],[f2]) ).

fof(f1398,plain,
    spl122_179,
    inference(avatar_split_clause,[],[f313,f1395]) ).

fof(f1395,plain,
    ( spl122_179
  <=> n14 = sum(n12,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_179])]) ).

fof(f313,plain,
    n14 = sum(n12,n2),
    inference(cnf_transformation,[],[f2]) ).

fof(f1393,plain,
    spl122_178,
    inference(avatar_split_clause,[],[f30,f1390]) ).

fof(f1390,plain,
    ( spl122_178
  <=> sK118 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK31)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_178])]) ).

fof(f30,plain,
    sK118 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK31)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f1388,plain,
    spl122_177,
    inference(avatar_split_clause,[],[f369,f1385]) ).

fof(f1385,plain,
    ( spl122_177
  <=> sK84 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK42)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_177])]) ).

fof(f369,plain,
    sK84 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK42)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f1383,plain,
    ~ spl122_176,
    inference(avatar_split_clause,[],[f405,f1380]) ).

fof(f1380,plain,
    ( spl122_176
  <=> n4 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_176])]) ).

fof(f405,plain,
    n4 != n15,
    inference(cnf_transformation,[],[f2]) ).

fof(f1378,plain,
    spl122_175,
    inference(avatar_split_clause,[],[f260,f1375]) ).

fof(f1375,plain,
    ( spl122_175
  <=> sK94 = sum(pred(sK2),sum(succ(sK14),sum(pred(sK120),succ(sK51)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_175])]) ).

fof(f260,plain,
    sK94 = sum(pred(sK2),sum(succ(sK14),sum(pred(sK120),succ(sK51)))),
    inference(cnf_transformation,[],[f2]) ).

fof(f1373,plain,
    ~ spl122_174,
    inference(avatar_split_clause,[],[f359,f1370]) ).

fof(f1370,plain,
    ( spl122_174
  <=> n2 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_174])]) ).

fof(f359,plain,
    n2 != n15,
    inference(cnf_transformation,[],[f2]) ).

fof(f1368,plain,
    spl122_173,
    inference(avatar_split_clause,[],[f128,f1365]) ).

fof(f1365,plain,
    ( spl122_173
  <=> n8 = sum(n13,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_173])]) ).

fof(f128,plain,
    n8 = sum(n13,n11),
    inference(cnf_transformation,[],[f2]) ).

fof(f1363,plain,
    spl122_172,
    inference(avatar_split_clause,[],[f187,f1360]) ).

fof(f1360,plain,
    ( spl122_172
  <=> n15 = sum(n0,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_172])]) ).

fof(f187,plain,
    n15 = sum(n0,n15),
    inference(cnf_transformation,[],[f2]) ).

fof(f1358,plain,
    ~ spl122_171,
    inference(avatar_split_clause,[],[f102,f1355]) ).

fof(f1355,plain,
    ( spl122_171
  <=> n0 = n4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_171])]) ).

fof(f102,plain,
    n0 != n4,
    inference(cnf_transformation,[],[f2]) ).

fof(f1353,plain,
    spl122_170,
    inference(avatar_split_clause,[],[f462,f1350]) ).

fof(f1350,plain,
    ( spl122_170
  <=> n11 = pred(n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_170])]) ).

fof(f462,plain,
    n11 = pred(n12),
    inference(cnf_transformation,[],[f2]) ).

fof(f1348,plain,
    spl122_169,
    inference(avatar_split_clause,[],[f389,f1345]) ).

fof(f1345,plain,
    ( spl122_169
  <=> n10 = sum(n5,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_169])]) ).

fof(f389,plain,
    n10 = sum(n5,n5),
    inference(cnf_transformation,[],[f2]) ).

fof(f1343,plain,
    spl122_168,
    inference(avatar_split_clause,[],[f391,f1340]) ).

fof(f1340,plain,
    ( spl122_168
  <=> n4 = sum(n5,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_168])]) ).

fof(f391,plain,
    n4 = sum(n5,n15),
    inference(cnf_transformation,[],[f2]) ).

fof(f1338,plain,
    spl122_167,
    inference(avatar_split_clause,[],[f251,f1335]) ).

fof(f1335,plain,
    ( spl122_167
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK63)))))))))))))))) = sK54 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_167])]) ).

fof(f251,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK63)))))))))))))))) = sK54,
    inference(cnf_transformation,[],[f2]) ).

fof(f1333,plain,
    spl122_166,
    inference(avatar_split_clause,[],[f59,f1330]) ).

fof(f1330,plain,
    ( spl122_166
  <=> n10 = sum(n1,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_166])]) ).

fof(f59,plain,
    n10 = sum(n1,n9),
    inference(cnf_transformation,[],[f2]) ).

fof(f1328,plain,
    spl122_165,
    inference(avatar_split_clause,[],[f144,f1325]) ).

fof(f1325,plain,
    ( spl122_165
  <=> sK78 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK76)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_165])]) ).

fof(f144,plain,
    sK78 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK76)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f1323,plain,
    spl122_164,
    inference(avatar_split_clause,[],[f149,f1320]) ).

fof(f1320,plain,
    ( spl122_164
  <=> n7 = sum(n14,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_164])]) ).

fof(f149,plain,
    n7 = sum(n14,n9),
    inference(cnf_transformation,[],[f2]) ).

fof(f1318,plain,
    spl122_163,
    inference(avatar_split_clause,[],[f370,f1315]) ).

fof(f1315,plain,
    ( spl122_163
  <=> sK63 = sum(pred(sK15),sum(succ(sK41),sum(pred(sK27),succ(sK93)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_163])]) ).

fof(f370,plain,
    sK63 = sum(pred(sK15),sum(succ(sK41),sum(pred(sK27),succ(sK93)))),
    inference(cnf_transformation,[],[f2]) ).

fof(f1313,plain,
    spl122_162,
    inference(avatar_split_clause,[],[f507,f1310]) ).

fof(f1310,plain,
    ( spl122_162
  <=> n4 = sum(n7,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_162])]) ).

fof(f507,plain,
    n4 = sum(n7,n13),
    inference(cnf_transformation,[],[f2]) ).

fof(f1308,plain,
    ( spl122_146
    | spl122_147
    | spl122_148
    | spl122_149
    | spl122_150
    | spl122_151
    | spl122_152
    | spl122_153
    | spl122_154
    | spl122_155
    | spl122_156
    | spl122_157
    | spl122_158
    | spl122_159
    | spl122_160
    | spl122_161 ),
    inference(avatar_split_clause,[],[f5,f1305,f1301,f1297,f1293,f1289,f1285,f1281,f1277,f1273,f1269,f1265,f1261,f1257,f1253,f1249,f1245]) ).

fof(f1245,plain,
    ( spl122_146
  <=> n15 = sK68 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_146])]) ).

fof(f1249,plain,
    ( spl122_147
  <=> n10 = sK68 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_147])]) ).

fof(f1253,plain,
    ( spl122_148
  <=> n14 = sK68 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_148])]) ).

fof(f1257,plain,
    ( spl122_149
  <=> n5 = sK68 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_149])]) ).

fof(f1261,plain,
    ( spl122_150
  <=> n12 = sK68 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_150])]) ).

fof(f1265,plain,
    ( spl122_151
  <=> n2 = sK68 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_151])]) ).

fof(f1269,plain,
    ( spl122_152
  <=> n3 = sK68 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_152])]) ).

fof(f1273,plain,
    ( spl122_153
  <=> n0 = sK68 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_153])]) ).

fof(f1277,plain,
    ( spl122_154
  <=> n13 = sK68 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_154])]) ).

fof(f1281,plain,
    ( spl122_155
  <=> n7 = sK68 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_155])]) ).

fof(f1285,plain,
    ( spl122_156
  <=> n9 = sK68 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_156])]) ).

fof(f1289,plain,
    ( spl122_157
  <=> n6 = sK68 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_157])]) ).

fof(f1293,plain,
    ( spl122_158
  <=> n1 = sK68 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_158])]) ).

fof(f1297,plain,
    ( spl122_159
  <=> n11 = sK68 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_159])]) ).

fof(f1301,plain,
    ( spl122_160
  <=> n4 = sK68 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_160])]) ).

fof(f1305,plain,
    ( spl122_161
  <=> n8 = sK68 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_161])]) ).

fof(f5,plain,
    ( n8 = sK68
    | n4 = sK68
    | n11 = sK68
    | n1 = sK68
    | n6 = sK68
    | n9 = sK68
    | n7 = sK68
    | n13 = sK68
    | n0 = sK68
    | n3 = sK68
    | n2 = sK68
    | n12 = sK68
    | n5 = sK68
    | n14 = sK68
    | n10 = sK68
    | n15 = sK68 ),
    inference(cnf_transformation,[],[f2]) ).

fof(f1243,plain,
    spl122_145,
    inference(avatar_split_clause,[],[f49,f1240]) ).

fof(f1240,plain,
    ( spl122_145
  <=> n10 = sum(n8,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_145])]) ).

fof(f49,plain,
    n10 = sum(n8,n2),
    inference(cnf_transformation,[],[f2]) ).

fof(f1238,plain,
    spl122_144,
    inference(avatar_split_clause,[],[f342,f1235]) ).

fof(f1235,plain,
    ( spl122_144
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK103)))))))))))))))) = sK33 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_144])]) ).

fof(f342,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK103)))))))))))))))) = sK33,
    inference(cnf_transformation,[],[f2]) ).

fof(f1233,plain,
    spl122_143,
    inference(avatar_split_clause,[],[f461,f1230]) ).

fof(f1230,plain,
    ( spl122_143
  <=> n3 = sum(n4,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_143])]) ).

fof(f461,plain,
    n3 = sum(n4,n15),
    inference(cnf_transformation,[],[f2]) ).

fof(f1228,plain,
    spl122_142,
    inference(avatar_split_clause,[],[f207,f1225]) ).

fof(f1225,plain,
    ( spl122_142
  <=> n11 = sum(n12,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_142])]) ).

fof(f207,plain,
    n11 = sum(n12,n15),
    inference(cnf_transformation,[],[f2]) ).

fof(f1223,plain,
    spl122_141,
    inference(avatar_split_clause,[],[f276,f1220]) ).

fof(f1220,plain,
    ( spl122_141
  <=> n2 = sum(n10,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_141])]) ).

fof(f276,plain,
    n2 = sum(n10,n8),
    inference(cnf_transformation,[],[f2]) ).

fof(f1218,plain,
    spl122_140,
    inference(avatar_split_clause,[],[f274,f1215]) ).

fof(f1215,plain,
    ( spl122_140
  <=> n8 = sum(n9,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_140])]) ).

fof(f274,plain,
    n8 = sum(n9,n15),
    inference(cnf_transformation,[],[f2]) ).

fof(f1213,plain,
    spl122_139,
    inference(avatar_split_clause,[],[f480,f1210]) ).

fof(f1210,plain,
    ( spl122_139
  <=> sK24 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK76)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_139])]) ).

fof(f480,plain,
    sK24 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK76)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f1208,plain,
    spl122_138,
    inference(avatar_split_clause,[],[f223,f1205]) ).

fof(f1205,plain,
    ( spl122_138
  <=> n9 = sum(n9,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_138])]) ).

fof(f223,plain,
    n9 = sum(n9,n0),
    inference(cnf_transformation,[],[f2]) ).

fof(f1203,plain,
    ( spl122_122
    | spl122_123
    | spl122_124
    | spl122_125
    | spl122_126
    | spl122_127
    | spl122_128
    | spl122_129
    | spl122_130
    | spl122_131
    | spl122_132
    | spl122_133
    | spl122_134
    | spl122_135
    | spl122_136
    | spl122_137 ),
    inference(avatar_split_clause,[],[f4,f1200,f1196,f1192,f1188,f1184,f1180,f1176,f1172,f1168,f1164,f1160,f1156,f1152,f1148,f1144,f1140]) ).

fof(f1140,plain,
    ( spl122_122
  <=> n12 = sK52 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_122])]) ).

fof(f1144,plain,
    ( spl122_123
  <=> n10 = sK52 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_123])]) ).

fof(f1148,plain,
    ( spl122_124
  <=> n15 = sK52 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_124])]) ).

fof(f1152,plain,
    ( spl122_125
  <=> n4 = sK52 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_125])]) ).

fof(f1156,plain,
    ( spl122_126
  <=> n1 = sK52 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_126])]) ).

fof(f1160,plain,
    ( spl122_127
  <=> n9 = sK52 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_127])]) ).

fof(f1164,plain,
    ( spl122_128
  <=> n14 = sK52 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_128])]) ).

fof(f1168,plain,
    ( spl122_129
  <=> n3 = sK52 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_129])]) ).

fof(f1172,plain,
    ( spl122_130
  <=> n5 = sK52 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_130])]) ).

fof(f1176,plain,
    ( spl122_131
  <=> n2 = sK52 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_131])]) ).

fof(f1180,plain,
    ( spl122_132
  <=> n13 = sK52 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_132])]) ).

fof(f1184,plain,
    ( spl122_133
  <=> n0 = sK52 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_133])]) ).

fof(f1188,plain,
    ( spl122_134
  <=> n8 = sK52 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_134])]) ).

fof(f1192,plain,
    ( spl122_135
  <=> n11 = sK52 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_135])]) ).

fof(f1196,plain,
    ( spl122_136
  <=> n7 = sK52 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_136])]) ).

fof(f1200,plain,
    ( spl122_137
  <=> n6 = sK52 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_137])]) ).

fof(f4,plain,
    ( n6 = sK52
    | n7 = sK52
    | n11 = sK52
    | n8 = sK52
    | n0 = sK52
    | n13 = sK52
    | n2 = sK52
    | n5 = sK52
    | n3 = sK52
    | n14 = sK52
    | n9 = sK52
    | n1 = sK52
    | n4 = sK52
    | n15 = sK52
    | n10 = sK52
    | n12 = sK52 ),
    inference(cnf_transformation,[],[f2]) ).

fof(f1138,plain,
    ~ spl122_121,
    inference(avatar_split_clause,[],[f124,f1135]) ).

fof(f1135,plain,
    ( spl122_121
  <=> n2 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_121])]) ).

fof(f124,plain,
    n2 != n9,
    inference(cnf_transformation,[],[f2]) ).

fof(f1133,plain,
    spl122_120,
    inference(avatar_split_clause,[],[f459,f1130]) ).

fof(f1130,plain,
    ( spl122_120
  <=> n10 = sum(n4,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_120])]) ).

fof(f459,plain,
    n10 = sum(n4,n6),
    inference(cnf_transformation,[],[f2]) ).

fof(f1128,plain,
    spl122_119,
    inference(avatar_split_clause,[],[f18,f1125]) ).

fof(f1125,plain,
    ( spl122_119
  <=> n5 = sum(n2,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_119])]) ).

fof(f18,plain,
    n5 = sum(n2,n3),
    inference(cnf_transformation,[],[f2]) ).

fof(f1123,plain,
    spl122_118,
    inference(avatar_split_clause,[],[f393,f1120]) ).

fof(f1120,plain,
    ( spl122_118
  <=> n12 = sum(n15,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_118])]) ).

fof(f393,plain,
    n12 = sum(n15,n13),
    inference(cnf_transformation,[],[f2]) ).

fof(f1118,plain,
    spl122_117,
    inference(avatar_split_clause,[],[f300,f1115]) ).

fof(f1115,plain,
    ( spl122_117
  <=> n3 = sum(n8,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_117])]) ).

fof(f300,plain,
    n3 = sum(n8,n11),
    inference(cnf_transformation,[],[f2]) ).

fof(f1113,plain,
    spl122_116,
    inference(avatar_split_clause,[],[f447,f1110]) ).

fof(f1110,plain,
    ( spl122_116
  <=> n1 = sum(n14,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_116])]) ).

fof(f447,plain,
    n1 = sum(n14,n3),
    inference(cnf_transformation,[],[f2]) ).

fof(f1108,plain,
    spl122_115,
    inference(avatar_split_clause,[],[f411,f1105]) ).

fof(f1105,plain,
    ( spl122_115
  <=> n8 = sum(n7,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_115])]) ).

fof(f411,plain,
    n8 = sum(n7,n1),
    inference(cnf_transformation,[],[f2]) ).

fof(f1103,plain,
    spl122_114,
    inference(avatar_split_clause,[],[f6,f1100]) ).

fof(f1100,plain,
    ( spl122_114
  <=> succ(n10) = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_114])]) ).

fof(f6,plain,
    succ(n10) = n11,
    inference(cnf_transformation,[],[f2]) ).

fof(f1098,plain,
    ~ spl122_113,
    inference(avatar_split_clause,[],[f268,f1095]) ).

fof(f1095,plain,
    ( spl122_113
  <=> n6 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_113])]) ).

fof(f268,plain,
    n6 != n13,
    inference(cnf_transformation,[],[f2]) ).

fof(f1093,plain,
    spl122_112,
    inference(avatar_split_clause,[],[f378,f1090]) ).

fof(f1090,plain,
    ( spl122_112
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK26)))))))))))))))) = sK49 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_112])]) ).

fof(f378,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK26)))))))))))))))) = sK49,
    inference(cnf_transformation,[],[f2]) ).

fof(f1088,plain,
    ~ spl122_111,
    inference(avatar_split_clause,[],[f283,f1085]) ).

fof(f1085,plain,
    ( spl122_111
  <=> n1 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_111])]) ).

fof(f283,plain,
    n1 != n10,
    inference(cnf_transformation,[],[f2]) ).

fof(f1083,plain,
    spl122_110,
    inference(avatar_split_clause,[],[f331,f1080]) ).

fof(f1080,plain,
    ( spl122_110
  <=> n9 = sum(n11,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_110])]) ).

fof(f331,plain,
    n9 = sum(n11,n14),
    inference(cnf_transformation,[],[f2]) ).

fof(f1078,plain,
    spl122_109,
    inference(avatar_split_clause,[],[f442,f1075]) ).

fof(f1075,plain,
    ( spl122_109
  <=> n0 = sum(n2,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_109])]) ).

fof(f442,plain,
    n0 = sum(n2,n14),
    inference(cnf_transformation,[],[f2]) ).

fof(f1073,plain,
    spl122_108,
    inference(avatar_split_clause,[],[f136,f1070]) ).

fof(f1070,plain,
    ( spl122_108
  <=> n1 = sum(n7,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_108])]) ).

fof(f136,plain,
    n1 = sum(n7,n10),
    inference(cnf_transformation,[],[f2]) ).

fof(f1068,plain,
    ~ spl122_107,
    inference(avatar_split_clause,[],[f285,f1065]) ).

fof(f1065,plain,
    ( spl122_107
  <=> n1 = n5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_107])]) ).

fof(f285,plain,
    n1 != n5,
    inference(cnf_transformation,[],[f2]) ).

fof(f1063,plain,
    spl122_106,
    inference(avatar_split_clause,[],[f105,f1060]) ).

fof(f1060,plain,
    ( spl122_106
  <=> succ(n8) = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_106])]) ).

fof(f105,plain,
    succ(n8) = n9,
    inference(cnf_transformation,[],[f2]) ).

fof(f1058,plain,
    ~ spl122_105,
    inference(avatar_split_clause,[],[f183,f1055]) ).

fof(f1055,plain,
    ( spl122_105
  <=> n1 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_105])]) ).

fof(f183,plain,
    n1 != n12,
    inference(cnf_transformation,[],[f2]) ).

fof(f1053,plain,
    spl122_104,
    inference(avatar_split_clause,[],[f470,f1050]) ).

fof(f1050,plain,
    ( spl122_104
  <=> sK11 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK68)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_104])]) ).

fof(f470,plain,
    sK11 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK68)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f1048,plain,
    ~ spl122_103,
    inference(avatar_split_clause,[],[f509,f1045]) ).

fof(f1045,plain,
    ( spl122_103
  <=> n1 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_103])]) ).

fof(f509,plain,
    n1 != n14,
    inference(cnf_transformation,[],[f2]) ).

fof(f1043,plain,
    spl122_102,
    inference(avatar_split_clause,[],[f91,f1040]) ).

fof(f1040,plain,
    ( spl122_102
  <=> n11 = sum(n3,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_102])]) ).

fof(f91,plain,
    n11 = sum(n3,n8),
    inference(cnf_transformation,[],[f2]) ).

fof(f1038,plain,
    spl122_101,
    inference(avatar_split_clause,[],[f416,f1035]) ).

fof(f1035,plain,
    ( spl122_101
  <=> n0 = sum(n15,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_101])]) ).

fof(f416,plain,
    n0 = sum(n15,n1),
    inference(cnf_transformation,[],[f2]) ).

fof(f1033,plain,
    ~ spl122_100,
    inference(avatar_split_clause,[],[f68,f1030]) ).

fof(f1030,plain,
    ( spl122_100
  <=> n2 = n5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_100])]) ).

fof(f68,plain,
    n2 != n5,
    inference(cnf_transformation,[],[f2]) ).

fof(f1028,plain,
    spl122_99,
    inference(avatar_split_clause,[],[f352,f1025]) ).

fof(f1025,plain,
    ( spl122_99
  <=> n0 = sum(n1,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_99])]) ).

fof(f352,plain,
    n0 = sum(n1,n15),
    inference(cnf_transformation,[],[f2]) ).

fof(f1023,plain,
    spl122_98,
    inference(avatar_split_clause,[],[f188,f1020]) ).

fof(f1020,plain,
    ( spl122_98
  <=> sK13 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK83)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_98])]) ).

fof(f188,plain,
    sK13 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK83)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f1018,plain,
    spl122_97,
    inference(avatar_split_clause,[],[f531,f1015]) ).

fof(f1015,plain,
    ( spl122_97
  <=> n9 = sum(n4,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_97])]) ).

fof(f531,plain,
    n9 = sum(n4,n5),
    inference(cnf_transformation,[],[f2]) ).

fof(f1013,plain,
    spl122_96,
    inference(avatar_split_clause,[],[f208,f1010]) ).

fof(f1010,plain,
    ( spl122_96
  <=> n4 = sum(n3,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_96])]) ).

fof(f208,plain,
    n4 = sum(n3,n1),
    inference(cnf_transformation,[],[f2]) ).

fof(f1008,plain,
    spl122_95,
    inference(avatar_split_clause,[],[f384,f1005]) ).

fof(f1005,plain,
    ( spl122_95
  <=> pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK99)))))))))))))))) = sK64 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_95])]) ).

fof(f384,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK99)))))))))))))))) = sK64,
    inference(cnf_transformation,[],[f2]) ).

fof(f1003,plain,
    spl122_94,
    inference(avatar_split_clause,[],[f34,f1000]) ).

fof(f1000,plain,
    ( spl122_94
  <=> n15 = sum(n1,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_94])]) ).

fof(f34,plain,
    n15 = sum(n1,n14),
    inference(cnf_transformation,[],[f2]) ).

fof(f998,plain,
    spl122_93,
    inference(avatar_split_clause,[],[f454,f995]) ).

fof(f995,plain,
    ( spl122_93
  <=> n7 = sum(n10,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_93])]) ).

fof(f454,plain,
    n7 = sum(n10,n13),
    inference(cnf_transformation,[],[f2]) ).

fof(f993,plain,
    ~ spl122_92,
    inference(avatar_split_clause,[],[f533,f990]) ).

fof(f990,plain,
    ( spl122_92
  <=> n12 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_92])]) ).

fof(f533,plain,
    n12 != n13,
    inference(cnf_transformation,[],[f2]) ).

fof(f988,plain,
    spl122_91,
    inference(avatar_split_clause,[],[f427,f985]) ).

fof(f985,plain,
    ( spl122_91
  <=> n5 = sum(n12,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_91])]) ).

fof(f427,plain,
    n5 = sum(n12,n9),
    inference(cnf_transformation,[],[f2]) ).

fof(f983,plain,
    spl122_90,
    inference(avatar_split_clause,[],[f505,f980]) ).

fof(f980,plain,
    ( spl122_90
  <=> succ(n4) = n5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_90])]) ).

fof(f505,plain,
    succ(n4) = n5,
    inference(cnf_transformation,[],[f2]) ).

fof(f978,plain,
    spl122_89,
    inference(avatar_split_clause,[],[f175,f975]) ).

fof(f975,plain,
    ( spl122_89
  <=> n14 = sum(n7,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_89])]) ).

fof(f175,plain,
    n14 = sum(n7,n7),
    inference(cnf_transformation,[],[f2]) ).

fof(f973,plain,
    spl122_88,
    inference(avatar_split_clause,[],[f254,f970]) ).

fof(f970,plain,
    ( spl122_88
  <=> sK100 = sum(sum(pred(sK44),succ(sK20)),sum(pred(sK20),succ(sK44))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_88])]) ).

fof(f254,plain,
    sK100 = sum(sum(pred(sK44),succ(sK20)),sum(pred(sK20),succ(sK44))),
    inference(cnf_transformation,[],[f2]) ).

fof(f968,plain,
    spl122_87,
    inference(avatar_split_clause,[],[f246,f965]) ).

fof(f965,plain,
    ( spl122_87
  <=> n8 = sum(n14,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_87])]) ).

fof(f246,plain,
    n8 = sum(n14,n10),
    inference(cnf_transformation,[],[f2]) ).

fof(f963,plain,
    spl122_86,
    inference(avatar_split_clause,[],[f479,f960]) ).

fof(f960,plain,
    ( spl122_86
  <=> n4 = sum(n0,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_86])]) ).

fof(f479,plain,
    n4 = sum(n0,n4),
    inference(cnf_transformation,[],[f2]) ).

fof(f958,plain,
    spl122_85,
    inference(avatar_split_clause,[],[f368,f955]) ).

fof(f955,plain,
    ( spl122_85
  <=> sK9 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK65)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_85])]) ).

fof(f368,plain,
    sK9 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK65)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f953,plain,
    ~ spl122_84,
    inference(avatar_split_clause,[],[f61,f950]) ).

fof(f950,plain,
    ( spl122_84
  <=> n0 = n6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_84])]) ).

fof(f61,plain,
    n0 != n6,
    inference(cnf_transformation,[],[f2]) ).

fof(f948,plain,
    spl122_83,
    inference(avatar_split_clause,[],[f60,f945]) ).

fof(f945,plain,
    ( spl122_83
  <=> n5 = sum(n6,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_83])]) ).

fof(f60,plain,
    n5 = sum(n6,n15),
    inference(cnf_transformation,[],[f2]) ).

fof(f943,plain,
    spl122_82,
    inference(avatar_split_clause,[],[f14,f940]) ).

fof(f940,plain,
    ( spl122_82
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK52)))))))))))))))) = sK114 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_82])]) ).

fof(f14,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK52)))))))))))))))) = sK114,
    inference(cnf_transformation,[],[f2]) ).

fof(f938,plain,
    spl122_81,
    inference(avatar_split_clause,[],[f178,f935]) ).

fof(f935,plain,
    ( spl122_81
  <=> n0 = sum(n8,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_81])]) ).

fof(f178,plain,
    n0 = sum(n8,n8),
    inference(cnf_transformation,[],[f2]) ).

fof(f933,plain,
    spl122_80,
    inference(avatar_split_clause,[],[f450,f930]) ).

fof(f930,plain,
    ( spl122_80
  <=> pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK53)))))))))))))))) = sK51 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_80])]) ).

fof(f450,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK53)))))))))))))))) = sK51,
    inference(cnf_transformation,[],[f2]) ).

fof(f928,plain,
    ~ spl122_79,
    inference(avatar_split_clause,[],[f506,f925]) ).

fof(f925,plain,
    ( spl122_79
  <=> n0 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_79])]) ).

fof(f506,plain,
    n0 != n13,
    inference(cnf_transformation,[],[f2]) ).

fof(f923,plain,
    spl122_78,
    inference(avatar_split_clause,[],[f517,f920]) ).

fof(f920,plain,
    ( spl122_78
  <=> sK121 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK98)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_78])]) ).

fof(f517,plain,
    sK121 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK98)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f918,plain,
    spl122_77,
    inference(avatar_split_clause,[],[f256,f915]) ).

fof(f915,plain,
    ( spl122_77
  <=> n5 = sum(n8,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_77])]) ).

fof(f256,plain,
    n5 = sum(n8,n13),
    inference(cnf_transformation,[],[f2]) ).

fof(f913,plain,
    ~ spl122_76,
    inference(avatar_split_clause,[],[f190,f910]) ).

fof(f910,plain,
    ( spl122_76
  <=> n2 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_76])]) ).

fof(f190,plain,
    n2 != n12,
    inference(cnf_transformation,[],[f2]) ).

fof(f908,plain,
    spl122_75,
    inference(avatar_split_clause,[],[f401,f905]) ).

fof(f905,plain,
    ( spl122_75
  <=> n7 = sum(n12,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_75])]) ).

fof(f401,plain,
    n7 = sum(n12,n11),
    inference(cnf_transformation,[],[f2]) ).

fof(f903,plain,
    ~ spl122_74,
    inference(avatar_split_clause,[],[f197,f900]) ).

fof(f900,plain,
    ( spl122_74
  <=> n11 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_74])]) ).

fof(f197,plain,
    n11 != n13,
    inference(cnf_transformation,[],[f2]) ).

fof(f898,plain,
    spl122_73,
    inference(avatar_split_clause,[],[f44,f895]) ).

fof(f895,plain,
    ( spl122_73
  <=> sum(pred(sK107),sum(succ(sK4),sum(pred(sK61),succ(sK105)))) = sK58 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_73])]) ).

fof(f44,plain,
    sum(pred(sK107),sum(succ(sK4),sum(pred(sK61),succ(sK105)))) = sK58,
    inference(cnf_transformation,[],[f2]) ).

fof(f893,plain,
    spl122_72,
    inference(avatar_split_clause,[],[f82,f890]) ).

fof(f890,plain,
    ( spl122_72
  <=> n15 = sum(n11,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_72])]) ).

fof(f82,plain,
    n15 = sum(n11,n4),
    inference(cnf_transformation,[],[f2]) ).

fof(f888,plain,
    spl122_71,
    inference(avatar_split_clause,[],[f437,f885]) ).

fof(f885,plain,
    ( spl122_71
  <=> n13 = sum(n12,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_71])]) ).

fof(f437,plain,
    n13 = sum(n12,n1),
    inference(cnf_transformation,[],[f2]) ).

fof(f883,plain,
    spl122_70,
    inference(avatar_split_clause,[],[f182,f880]) ).

fof(f880,plain,
    ( spl122_70
  <=> sK34 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK113)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_70])]) ).

fof(f182,plain,
    sK34 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK113)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f878,plain,
    spl122_69,
    inference(avatar_split_clause,[],[f496,f875]) ).

fof(f875,plain,
    ( spl122_69
  <=> sK29 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK52)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_69])]) ).

fof(f496,plain,
    sK29 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK52)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f873,plain,
    ~ spl122_68,
    inference(avatar_split_clause,[],[f96,f870]) ).

fof(f870,plain,
    ( spl122_68
  <=> n5 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_68])]) ).

fof(f96,plain,
    n5 != n14,
    inference(cnf_transformation,[],[f2]) ).

fof(f868,plain,
    spl122_67,
    inference(avatar_split_clause,[],[f86,f865]) ).

fof(f865,plain,
    ( spl122_67
  <=> succ(n1) = n2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_67])]) ).

fof(f86,plain,
    succ(n1) = n2,
    inference(cnf_transformation,[],[f2]) ).

fof(f863,plain,
    ~ spl122_66,
    inference(avatar_split_clause,[],[f79,f860]) ).

fof(f860,plain,
    ( spl122_66
  <=> n9 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_66])]) ).

fof(f79,plain,
    n9 != n15,
    inference(cnf_transformation,[],[f2]) ).

fof(f858,plain,
    ~ spl122_65,
    inference(avatar_split_clause,[],[f396,f855]) ).

fof(f855,plain,
    ( spl122_65
  <=> n0 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_65])]) ).

fof(f396,plain,
    n0 != n8,
    inference(cnf_transformation,[],[f2]) ).

fof(f853,plain,
    spl122_64,
    inference(avatar_split_clause,[],[f466,f850]) ).

fof(f850,plain,
    ( spl122_64
  <=> n13 = sum(n1,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_64])]) ).

fof(f466,plain,
    n13 = sum(n1,n12),
    inference(cnf_transformation,[],[f2]) ).

fof(f848,plain,
    spl122_63,
    inference(avatar_split_clause,[],[f414,f845]) ).

fof(f845,plain,
    ( spl122_63
  <=> n10 = sum(n9,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_63])]) ).

fof(f414,plain,
    n10 = sum(n9,n1),
    inference(cnf_transformation,[],[f2]) ).

fof(f843,plain,
    spl122_62,
    inference(avatar_split_clause,[],[f275,f840]) ).

fof(f840,plain,
    ( spl122_62
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK60)))))))))))))))) = sK15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_62])]) ).

fof(f275,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK60)))))))))))))))) = sK15,
    inference(cnf_transformation,[],[f2]) ).

fof(f838,plain,
    ~ spl122_61,
    inference(avatar_split_clause,[],[f519,f835]) ).

fof(f835,plain,
    ( spl122_61
  <=> n0 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_61])]) ).

fof(f519,plain,
    n0 != n11,
    inference(cnf_transformation,[],[f2]) ).

fof(f833,plain,
    ~ spl122_60,
    inference(avatar_split_clause,[],[f410,f830]) ).

fof(f830,plain,
    ( spl122_60
  <=> n4 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_60])]) ).

fof(f410,plain,
    n4 != n8,
    inference(cnf_transformation,[],[f2]) ).

fof(f828,plain,
    ~ spl122_59,
    inference(avatar_split_clause,[],[f467,f825]) ).

fof(f825,plain,
    ( spl122_59
  <=> n6 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_59])]) ).

fof(f467,plain,
    n6 != n12,
    inference(cnf_transformation,[],[f2]) ).

fof(f823,plain,
    ~ spl122_58,
    inference(avatar_split_clause,[],[f192,f820]) ).

fof(f820,plain,
    ( spl122_58
  <=> n3 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_58])]) ).

fof(f192,plain,
    n3 != n13,
    inference(cnf_transformation,[],[f2]) ).

fof(f818,plain,
    spl122_57,
    inference(avatar_split_clause,[],[f236,f815]) ).

fof(f815,plain,
    ( spl122_57
  <=> n9 = pred(n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_57])]) ).

fof(f236,plain,
    n9 = pred(n10),
    inference(cnf_transformation,[],[f2]) ).

fof(f813,plain,
    spl122_56,
    inference(avatar_split_clause,[],[f119,f810]) ).

fof(f810,plain,
    ( spl122_56
  <=> n1 = sum(n15,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_56])]) ).

fof(f119,plain,
    n1 = sum(n15,n2),
    inference(cnf_transformation,[],[f2]) ).

fof(f808,plain,
    spl122_55,
    inference(avatar_split_clause,[],[f218,f805]) ).

fof(f805,plain,
    ( spl122_55
  <=> n13 = sum(n7,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_55])]) ).

fof(f218,plain,
    n13 = sum(n7,n6),
    inference(cnf_transformation,[],[f2]) ).

fof(f803,plain,
    spl122_54,
    inference(avatar_split_clause,[],[f72,f800]) ).

fof(f800,plain,
    ( spl122_54
  <=> sum(pred(sK96),sum(succ(sK17),sum(pred(sK0),succ(sK22)))) = sK112 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_54])]) ).

fof(f72,plain,
    sum(pred(sK96),sum(succ(sK17),sum(pred(sK0),succ(sK22)))) = sK112,
    inference(cnf_transformation,[],[f2]) ).

fof(f798,plain,
    spl122_53,
    inference(avatar_split_clause,[],[f307,f795]) ).

fof(f795,plain,
    ( spl122_53
  <=> n6 = sum(n2,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_53])]) ).

fof(f307,plain,
    n6 = sum(n2,n4),
    inference(cnf_transformation,[],[f2]) ).

fof(f793,plain,
    ~ spl122_52,
    inference(avatar_split_clause,[],[f333,f790]) ).

fof(f790,plain,
    ( spl122_52
  <=> n3 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_52])]) ).

fof(f333,plain,
    n3 != n14,
    inference(cnf_transformation,[],[f2]) ).

fof(f788,plain,
    spl122_51,
    inference(avatar_split_clause,[],[f497,f785]) ).

fof(f785,plain,
    ( spl122_51
  <=> n3 = sum(n12,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_51])]) ).

fof(f497,plain,
    n3 = sum(n12,n7),
    inference(cnf_transformation,[],[f2]) ).

fof(f783,plain,
    spl122_50,
    inference(avatar_split_clause,[],[f37,f780]) ).

fof(f780,plain,
    ( spl122_50
  <=> n14 = sum(n9,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_50])]) ).

fof(f37,plain,
    n14 = sum(n9,n5),
    inference(cnf_transformation,[],[f2]) ).

fof(f778,plain,
    ~ spl122_49,
    inference(avatar_split_clause,[],[f185,f775]) ).

fof(f775,plain,
    ( spl122_49
  <=> n5 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_49])]) ).

fof(f185,plain,
    n5 != n12,
    inference(cnf_transformation,[],[f2]) ).

fof(f773,plain,
    spl122_48,
    inference(avatar_split_clause,[],[f417,f770]) ).

fof(f770,plain,
    ( spl122_48
  <=> sK35 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK30)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_48])]) ).

fof(f417,plain,
    sK35 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK30)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f768,plain,
    ~ spl122_47,
    inference(avatar_split_clause,[],[f463,f765]) ).

fof(f765,plain,
    ( spl122_47
  <=> n3 = n4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_47])]) ).

fof(f463,plain,
    n3 != n4,
    inference(cnf_transformation,[],[f2]) ).

fof(f763,plain,
    spl122_46,
    inference(avatar_split_clause,[],[f347,f760]) ).

fof(f760,plain,
    ( spl122_46
  <=> n3 = sum(n6,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_46])]) ).

fof(f347,plain,
    n3 = sum(n6,n13),
    inference(cnf_transformation,[],[f2]) ).

fof(f758,plain,
    spl122_45,
    inference(avatar_split_clause,[],[f292,f755]) ).

fof(f755,plain,
    ( spl122_45
  <=> n4 = sum(n8,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_45])]) ).

fof(f292,plain,
    n4 = sum(n8,n12),
    inference(cnf_transformation,[],[f2]) ).

fof(f753,plain,
    spl122_44,
    inference(avatar_split_clause,[],[f320,f750]) ).

fof(f750,plain,
    ( spl122_44
  <=> n5 = sum(n3,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_44])]) ).

fof(f320,plain,
    n5 = sum(n3,n2),
    inference(cnf_transformation,[],[f2]) ).

fof(f748,plain,
    spl122_43,
    inference(avatar_split_clause,[],[f172,f745]) ).

fof(f745,plain,
    ( spl122_43
  <=> n15 = sum(n5,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_43])]) ).

fof(f172,plain,
    n15 = sum(n5,n10),
    inference(cnf_transformation,[],[f2]) ).

fof(f743,plain,
    spl122_42,
    inference(avatar_split_clause,[],[f199,f740]) ).

fof(f740,plain,
    ( spl122_42
  <=> n8 = sum(n2,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_42])]) ).

fof(f199,plain,
    n8 = sum(n2,n6),
    inference(cnf_transformation,[],[f2]) ).

fof(f738,plain,
    spl122_41,
    inference(avatar_split_clause,[],[f113,f735]) ).

fof(f735,plain,
    ( spl122_41
  <=> n12 = sum(n10,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_41])]) ).

fof(f113,plain,
    n12 = sum(n10,n2),
    inference(cnf_transformation,[],[f2]) ).

fof(f733,plain,
    spl122_40,
    inference(avatar_split_clause,[],[f29,f730]) ).

fof(f730,plain,
    ( spl122_40
  <=> sK77 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK43)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_40])]) ).

fof(f29,plain,
    sK77 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK43)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f728,plain,
    spl122_39,
    inference(avatar_split_clause,[],[f27,f725]) ).

fof(f725,plain,
    ( spl122_39
  <=> n14 = pred(n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_39])]) ).

fof(f27,plain,
    n14 = pred(n15),
    inference(cnf_transformation,[],[f2]) ).

fof(f723,plain,
    spl122_38,
    inference(avatar_split_clause,[],[f189,f720]) ).

fof(f720,plain,
    ( spl122_38
  <=> n4 = sum(n1,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_38])]) ).

fof(f189,plain,
    n4 = sum(n1,n3),
    inference(cnf_transformation,[],[f2]) ).

fof(f718,plain,
    spl122_37,
    inference(avatar_split_clause,[],[f103,f715]) ).

fof(f715,plain,
    ( spl122_37
  <=> n0 = pred(n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_37])]) ).

fof(f103,plain,
    n0 = pred(n1),
    inference(cnf_transformation,[],[f2]) ).

fof(f713,plain,
    spl122_36,
    inference(avatar_split_clause,[],[f332,f710]) ).

fof(f710,plain,
    ( spl122_36
  <=> n7 = sum(n6,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_36])]) ).

fof(f332,plain,
    n7 = sum(n6,n1),
    inference(cnf_transformation,[],[f2]) ).

fof(f708,plain,
    spl122_35,
    inference(avatar_split_clause,[],[f148,f705]) ).

fof(f705,plain,
    ( spl122_35
  <=> n9 = sum(n8,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_35])]) ).

fof(f148,plain,
    n9 = sum(n8,n1),
    inference(cnf_transformation,[],[f2]) ).

fof(f703,plain,
    spl122_34,
    inference(avatar_split_clause,[],[f62,f700]) ).

fof(f700,plain,
    ( spl122_34
  <=> sum(pred(sK86),sum(succ(sK12),sum(pred(sK85),succ(sK9)))) = sK113 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_34])]) ).

fof(f62,plain,
    sum(pred(sK86),sum(succ(sK12),sum(pred(sK85),succ(sK9)))) = sK113,
    inference(cnf_transformation,[],[f2]) ).

fof(f698,plain,
    ~ spl122_33,
    inference(avatar_split_clause,[],[f280,f695]) ).

fof(f695,plain,
    ( spl122_33
  <=> n1 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_33])]) ).

fof(f280,plain,
    n1 != n15,
    inference(cnf_transformation,[],[f2]) ).

fof(f693,plain,
    spl122_32,
    inference(avatar_split_clause,[],[f157,f690]) ).

fof(f690,plain,
    ( spl122_32
  <=> n1 = sum(n2,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_32])]) ).

fof(f157,plain,
    n1 = sum(n2,n15),
    inference(cnf_transformation,[],[f2]) ).

fof(f688,plain,
    spl122_31,
    inference(avatar_split_clause,[],[f487,f685]) ).

fof(f685,plain,
    ( spl122_31
  <=> pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK104)))))))))))))))) = sK87 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_31])]) ).

fof(f487,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK104)))))))))))))))) = sK87,
    inference(cnf_transformation,[],[f2]) ).

fof(f683,plain,
    spl122_30,
    inference(avatar_split_clause,[],[f404,f680]) ).

fof(f680,plain,
    ( spl122_30
  <=> n9 = sum(n2,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_30])]) ).

fof(f404,plain,
    n9 = sum(n2,n7),
    inference(cnf_transformation,[],[f2]) ).

fof(f678,plain,
    spl122_29,
    inference(avatar_split_clause,[],[f198,f675]) ).

fof(f675,plain,
    ( spl122_29
  <=> n12 = sum(n5,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_29])]) ).

fof(f198,plain,
    n12 = sum(n5,n7),
    inference(cnf_transformation,[],[f2]) ).

fof(f673,plain,
    ~ spl122_28,
    inference(avatar_split_clause,[],[f147,f670]) ).

fof(f670,plain,
    ( spl122_28
  <=> n5 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_28])]) ).

fof(f147,plain,
    n5 != n15,
    inference(cnf_transformation,[],[f2]) ).

fof(f668,plain,
    ~ spl122_27,
    inference(avatar_split_clause,[],[f468,f665]) ).

fof(f665,plain,
    ( spl122_27
  <=> n0 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_27])]) ).

fof(f468,plain,
    n0 != n15,
    inference(cnf_transformation,[],[f2]) ).

fof(f663,plain,
    spl122_26,
    inference(avatar_split_clause,[],[f202,f660]) ).

fof(f660,plain,
    ( spl122_26
  <=> n11 = sum(n14,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_26])]) ).

fof(f202,plain,
    n11 = sum(n14,n13),
    inference(cnf_transformation,[],[f2]) ).

fof(f658,plain,
    spl122_25,
    inference(avatar_split_clause,[],[f108,f655]) ).

fof(f655,plain,
    ( spl122_25
  <=> n7 = sum(n8,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_25])]) ).

fof(f108,plain,
    n7 = sum(n8,n15),
    inference(cnf_transformation,[],[f2]) ).

fof(f653,plain,
    ~ spl122_24,
    inference(avatar_split_clause,[],[f364,f650]) ).

fof(f650,plain,
    ( spl122_24
  <=> n11 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_24])]) ).

fof(f364,plain,
    n11 != n12,
    inference(cnf_transformation,[],[f2]) ).

fof(f648,plain,
    ~ spl122_23,
    inference(avatar_split_clause,[],[f286,f645]) ).

fof(f645,plain,
    ( spl122_23
  <=> n5 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_23])]) ).

fof(f286,plain,
    n5 != n13,
    inference(cnf_transformation,[],[f2]) ).

fof(f643,plain,
    spl122_22,
    inference(avatar_split_clause,[],[f259,f640]) ).

fof(f640,plain,
    ( spl122_22
  <=> succ(n14) = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_22])]) ).

fof(f259,plain,
    succ(n14) = n15,
    inference(cnf_transformation,[],[f2]) ).

fof(f638,plain,
    ~ spl122_21,
    inference(avatar_split_clause,[],[f137,f635]) ).

fof(f635,plain,
    ( spl122_21
  <=> n6 = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_21])]) ).

fof(f137,plain,
    n6 != n7,
    inference(cnf_transformation,[],[f2]) ).

fof(f633,plain,
    spl122_20,
    inference(avatar_split_clause,[],[f266,f630]) ).

fof(f630,plain,
    ( spl122_20
  <=> n3 = sum(n7,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_20])]) ).

fof(f266,plain,
    n3 = sum(n7,n12),
    inference(cnf_transformation,[],[f2]) ).

fof(f628,plain,
    spl122_19,
    inference(avatar_split_clause,[],[f209,f625]) ).

fof(f625,plain,
    ( spl122_19
  <=> sK46 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK94)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_19])]) ).

fof(f209,plain,
    sK46 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK94)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f623,plain,
    spl122_18,
    inference(avatar_split_clause,[],[f326,f620]) ).

fof(f620,plain,
    ( spl122_18
  <=> sK99 = sum(pred(sK90),sum(succ(sK106),sum(pred(sK50),succ(sK73)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_18])]) ).

fof(f326,plain,
    sK99 = sum(pred(sK90),sum(succ(sK106),sum(pred(sK50),succ(sK73)))),
    inference(cnf_transformation,[],[f2]) ).

fof(f618,plain,
    spl122_17,
    inference(avatar_split_clause,[],[f145,f615]) ).

fof(f615,plain,
    ( spl122_17
  <=> n1 = sum(n1,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_17])]) ).

fof(f145,plain,
    n1 = sum(n1,n0),
    inference(cnf_transformation,[],[f2]) ).

fof(f613,plain,
    spl122_16,
    inference(avatar_split_clause,[],[f361,f610]) ).

fof(f610,plain,
    ( spl122_16
  <=> n10 = pred(n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_16])]) ).

fof(f361,plain,
    n10 = pred(n11),
    inference(cnf_transformation,[],[f2]) ).

fof(f608,plain,
    spl122_15,
    inference(avatar_split_clause,[],[f139,f605]) ).

fof(f605,plain,
    ( spl122_15
  <=> n1 = sum(n5,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_15])]) ).

fof(f139,plain,
    n1 = sum(n5,n12),
    inference(cnf_transformation,[],[f2]) ).

fof(f603,plain,
    spl122_14,
    inference(avatar_split_clause,[],[f114,f600]) ).

fof(f600,plain,
    ( spl122_14
  <=> sum(sum(pred(sK68),succ(sK52)),sum(pred(sK52),succ(sK68))) = sK111 ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_14])]) ).

fof(f114,plain,
    sum(sum(pred(sK68),succ(sK52)),sum(pred(sK52),succ(sK68))) = sK111,
    inference(cnf_transformation,[],[f2]) ).

fof(f598,plain,
    spl122_13,
    inference(avatar_split_clause,[],[f40,f595]) ).

fof(f595,plain,
    ( spl122_13
  <=> n2 = sum(n0,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_13])]) ).

fof(f40,plain,
    n2 = sum(n0,n2),
    inference(cnf_transformation,[],[f2]) ).

fof(f593,plain,
    spl122_12,
    inference(avatar_split_clause,[],[f305,f590]) ).

fof(f590,plain,
    ( spl122_12
  <=> n13 = sum(n6,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_12])]) ).

fof(f305,plain,
    n13 = sum(n6,n7),
    inference(cnf_transformation,[],[f2]) ).

fof(f588,plain,
    spl122_11,
    inference(avatar_split_clause,[],[f195,f585]) ).

fof(f585,plain,
    ( spl122_11
  <=> n13 = sum(n5,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_11])]) ).

fof(f195,plain,
    n13 = sum(n5,n8),
    inference(cnf_transformation,[],[f2]) ).

fof(f583,plain,
    spl122_10,
    inference(avatar_split_clause,[],[f267,f580]) ).

fof(f580,plain,
    ( spl122_10
  <=> n6 = sum(n8,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_10])]) ).

fof(f267,plain,
    n6 = sum(n8,n14),
    inference(cnf_transformation,[],[f2]) ).

fof(f578,plain,
    spl122_9,
    inference(avatar_split_clause,[],[f334,f575]) ).

fof(f575,plain,
    ( spl122_9
  <=> n10 = sum(n13,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_9])]) ).

fof(f334,plain,
    n10 = sum(n13,n13),
    inference(cnf_transformation,[],[f2]) ).

fof(f573,plain,
    spl122_8,
    inference(avatar_split_clause,[],[f491,f570]) ).

fof(f570,plain,
    ( spl122_8
  <=> n14 = sum(n13,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_8])]) ).

fof(f491,plain,
    n14 = sum(n13,n1),
    inference(cnf_transformation,[],[f2]) ).

fof(f568,plain,
    spl122_7,
    inference(avatar_split_clause,[],[f120,f565]) ).

fof(f565,plain,
    ( spl122_7
  <=> n2 = sum(n15,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_7])]) ).

fof(f120,plain,
    n2 = sum(n15,n3),
    inference(cnf_transformation,[],[f2]) ).

fof(f563,plain,
    spl122_6,
    inference(avatar_split_clause,[],[f390,f560]) ).

fof(f560,plain,
    ( spl122_6
  <=> n12 = pred(n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_6])]) ).

fof(f390,plain,
    n12 = pred(n13),
    inference(cnf_transformation,[],[f2]) ).

fof(f558,plain,
    spl122_5,
    inference(avatar_split_clause,[],[f245,f555]) ).

fof(f555,plain,
    ( spl122_5
  <=> n3 = sum(n2,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_5])]) ).

fof(f245,plain,
    n3 = sum(n2,n1),
    inference(cnf_transformation,[],[f2]) ).

fof(f553,plain,
    spl122_4,
    inference(avatar_split_clause,[],[f526,f550]) ).

fof(f550,plain,
    ( spl122_4
  <=> sK116 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK5)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_4])]) ).

fof(f526,plain,
    sK116 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK5)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f548,plain,
    spl122_3,
    inference(avatar_split_clause,[],[f168,f545]) ).

fof(f545,plain,
    ( spl122_3
  <=> n5 = sum(n0,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_3])]) ).

fof(f168,plain,
    n5 = sum(n0,n5),
    inference(cnf_transformation,[],[f2]) ).

fof(f543,plain,
    spl122_2,
    inference(avatar_split_clause,[],[f205,f540]) ).

fof(f540,plain,
    ( spl122_2
  <=> sK20 = sum(pred(sK6),sum(succ(sK77),sum(pred(sK95),succ(sK45)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_2])]) ).

fof(f205,plain,
    sK20 = sum(pred(sK6),sum(succ(sK77),sum(pred(sK95),succ(sK45)))),
    inference(cnf_transformation,[],[f2]) ).

fof(f538,plain,
    spl122_1,
    inference(avatar_split_clause,[],[f271,f535]) ).

fof(f535,plain,
    ( spl122_1
  <=> n0 = sum(n10,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl122_1])]) ).

fof(f271,plain,
    n0 = sum(n10,n6),
    inference(cnf_transformation,[],[f2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : NUM378+1.015.020 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n006.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 06:27:55 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 1.50/0.65  % (27097)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)
% 1.50/0.65  % (27104)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.50/0.66  % (27112)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)
% 1.83/0.66  % (27117)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.83/0.66  % (27104)Instruction limit reached!
% 1.83/0.66  % (27104)------------------------------
% 1.83/0.66  % (27104)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.66  % (27104)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.66  % (27104)Termination reason: Unknown
% 1.83/0.66  % (27104)Termination phase: Preprocessing 1
% 1.83/0.66  
% 1.83/0.66  % (27104)Memory used [KB]: 1279
% 1.83/0.66  % (27104)Time elapsed: 0.004 s
% 1.83/0.66  % (27104)Instructions burned: 2 (million)
% 1.83/0.66  % (27104)------------------------------
% 1.83/0.66  % (27104)------------------------------
% 1.83/0.67  % (27120)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.83/0.67  % (27098)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)
% 1.83/0.67  % (27105)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)
% 1.83/0.68  % (27118)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)
% 1.83/0.69  % (27101)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)
% 1.83/0.70  % (27100)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.83/0.70  % (27099)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)
% 1.83/0.70  % (27102)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)
% 1.83/0.71  % (27110)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)
% 1.83/0.72  % (27121)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.83/0.72  % (27122)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)
% 1.83/0.72  % (27123)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)
% 1.83/0.73  % (27113)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.83/0.73  % (27096)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)
% 1.83/0.73  % (27124)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.83/0.73  % (27114)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.83/0.73  % (27115)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)
% 1.83/0.73  % (27097)Instruction limit reached!
% 1.83/0.73  % (27097)------------------------------
% 1.83/0.73  % (27097)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.73  % (27097)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.73  % (27097)Termination reason: Unknown
% 1.83/0.73  % (27097)Termination phase: Saturation
% 1.83/0.73  
% 1.83/0.73  % (27097)Memory used [KB]: 7036
% 1.83/0.73  % (27097)Time elapsed: 0.038 s
% 1.83/0.73  % (27097)Instructions burned: 50 (million)
% 1.83/0.73  % (27097)------------------------------
% 1.83/0.73  % (27097)------------------------------
% 1.83/0.73  % (27106)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.83/0.74  % (27116)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)
% 2.43/0.74  % (27107)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)
% 2.43/0.74  % (27108)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 2.43/0.74  % (27125)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)
% 2.43/0.74  % (27109)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 2.43/0.74  % (27103)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 2.43/0.74  % (27119)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)
% 2.43/0.75  % (27111)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)
% 2.43/0.76  % (27098)Instruction limit reached!
% 2.43/0.76  % (27098)------------------------------
% 2.43/0.76  % (27098)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.76  % (27098)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.43/0.76  % (27098)Termination reason: Unknown
% 2.43/0.76  % (27098)Termination phase: Saturation
% 2.43/0.76  
% 2.43/0.76  % (27098)Memory used [KB]: 2174
% 2.43/0.76  % (27098)Time elapsed: 0.205 s
% 2.43/0.76  % (27098)Instructions burned: 38 (million)
% 2.43/0.76  % (27098)------------------------------
% 2.43/0.76  % (27098)------------------------------
% 2.43/0.76  % (27105)Instruction limit reached!
% 2.43/0.76  % (27105)------------------------------
% 2.43/0.76  % (27105)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.76  % (27105)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.43/0.76  % (27105)Termination reason: Unknown
% 2.43/0.76  % (27105)Termination phase: Saturation
% 2.43/0.76  
% 2.43/0.76  % (27105)Memory used [KB]: 2686
% 2.43/0.76  % (27105)Time elapsed: 0.239 s
% 2.43/0.76  % (27105)Instructions burned: 51 (million)
% 2.43/0.76  % (27105)------------------------------
% 2.43/0.76  % (27105)------------------------------
% 2.43/0.77  % (27103)Instruction limit reached!
% 2.43/0.77  % (27103)------------------------------
% 2.43/0.77  % (27103)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.77  % (27103)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.43/0.77  % (27103)Termination reason: Unknown
% 2.43/0.77  % (27103)Termination phase: Preprocessing 3
% 2.43/0.77  
% 2.43/0.77  % (27103)Memory used [KB]: 1791
% 2.43/0.77  % (27103)Time elapsed: 0.007 s
% 2.43/0.77  % (27103)Instructions burned: 8 (million)
% 2.43/0.77  % (27103)------------------------------
% 2.43/0.77  % (27103)------------------------------
% 2.77/0.81  % (27101)Instruction limit reached!
% 2.77/0.81  % (27101)------------------------------
% 2.77/0.81  % (27101)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.77/0.81  % (27101)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.77/0.81  % (27101)Termination reason: Unknown
% 2.77/0.81  % (27101)Termination phase: Saturation
% 2.77/0.81  
% 2.77/0.81  % (27101)Memory used [KB]: 7164
% 2.77/0.81  % (27101)Time elapsed: 0.304 s
% 2.77/0.81  % (27101)Instructions burned: 48 (million)
% 2.77/0.81  % (27101)------------------------------
% 2.77/0.81  % (27101)------------------------------
% 2.77/0.81  % (27100)Instruction limit reached!
% 2.77/0.81  % (27100)------------------------------
% 2.77/0.81  % (27100)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.77/0.81  % (27100)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.77/0.81  % (27100)Termination reason: Unknown
% 2.77/0.82  % (27102)Instruction limit reached!
% 2.77/0.82  % (27102)------------------------------
% 2.77/0.82  % (27102)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.77/0.82  % (27102)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.77/0.82  % (27102)Termination reason: Unknown
% 2.77/0.82  % (27102)Termination phase: Finite model building preprocessing
% 2.77/0.82  
% 2.77/0.82  % (27102)Memory used [KB]: 3837
% 2.77/0.82  % (27102)Time elapsed: 0.035 s
% 2.77/0.82  % (27102)Instructions burned: 51 (million)
% 2.77/0.82  % (27102)------------------------------
% 2.77/0.82  % (27102)------------------------------
% 2.77/0.82  % (27112)Instruction limit reached!
% 2.77/0.82  % (27112)------------------------------
% 2.77/0.82  % (27112)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.77/0.83  % (27100)Termination phase: Saturation
% 2.77/0.83  
% 2.77/0.83  % (27100)Memory used [KB]: 7036
% 2.77/0.83  % (27100)Time elapsed: 0.038 s
% 2.77/0.83  % (27100)Instructions burned: 52 (million)
% 2.77/0.83  % (27100)------------------------------
% 2.77/0.83  % (27100)------------------------------
% 2.77/0.84  % (27099)Instruction limit reached!
% 2.77/0.84  % (27099)------------------------------
% 2.77/0.84  % (27099)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.77/0.84  % (27099)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.77/0.84  % (27099)Termination reason: Unknown
% 2.77/0.84  % (27099)Termination phase: Saturation
% 2.77/0.84  
% 2.77/0.84  % (27099)Memory used [KB]: 6908
% 2.77/0.84  % (27099)Time elapsed: 0.326 s
% 2.77/0.84  % (27099)Instructions burned: 51 (million)
% 2.77/0.84  % (27099)------------------------------
% 2.77/0.84  % (27099)------------------------------
% 3.11/0.84  % (27112)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.11/0.84  % (27112)Termination reason: Unknown
% 3.11/0.84  % (27112)Termination phase: Saturation
% 3.11/0.84  
% 3.11/0.84  % (27112)Memory used [KB]: 7675
% 3.11/0.84  % (27112)Time elapsed: 0.311 s
% 3.11/0.84  % (27112)Instructions burned: 100 (million)
% 3.11/0.84  % (27112)------------------------------
% 3.11/0.84  % (27112)------------------------------
% 3.11/0.86  % (27156)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)
% 3.11/0.86  % (27110)Instruction limit reached!
% 3.11/0.86  % (27110)------------------------------
% 3.11/0.86  % (27110)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.11/0.86  % (27110)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.11/0.86  % (27110)Termination reason: Unknown
% 3.11/0.86  % (27110)Termination phase: Saturation
% 3.11/0.86  
% 3.11/0.86  % (27110)Memory used [KB]: 7675
% 3.11/0.86  % (27110)Time elapsed: 0.051 s
% 3.11/0.86  % (27110)Instructions burned: 68 (million)
% 3.11/0.86  % (27110)------------------------------
% 3.11/0.86  % (27110)------------------------------
% 3.19/0.86  % (27106)Instruction limit reached!
% 3.19/0.86  % (27106)------------------------------
% 3.19/0.86  % (27106)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.19/0.86  % (27106)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.19/0.86  % (27106)Termination reason: Unknown
% 3.19/0.86  % (27106)Termination phase: Saturation
% 3.19/0.86  
% 3.19/0.86  % (27106)Memory used [KB]: 7036
% 3.19/0.86  % (27106)Time elapsed: 0.037 s
% 3.19/0.86  % (27106)Instructions burned: 50 (million)
% 3.19/0.86  % (27106)------------------------------
% 3.19/0.86  % (27106)------------------------------
% 3.19/0.87  % (27113)Instruction limit reached!
% 3.19/0.87  % (27113)------------------------------
% 3.19/0.87  % (27113)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.19/0.87  % (27113)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.19/0.87  % (27113)Termination reason: Unknown
% 3.19/0.87  % (27113)Termination phase: Finite model building preprocessing
% 3.19/0.87  
% 3.19/0.87  % (27113)Memory used [KB]: 4349
% 3.19/0.87  % (27113)Time elapsed: 0.041 s
% 3.19/0.87  % (27113)Instructions burned: 60 (million)
% 3.19/0.87  % (27113)------------------------------
% 3.19/0.87  % (27113)------------------------------
% 3.19/0.88  % (27122)Instruction limit reached!
% 3.19/0.88  % (27122)------------------------------
% 3.19/0.88  % (27122)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.19/0.88  % (27122)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.19/0.88  % (27122)Termination reason: Unknown
% 3.19/0.88  % (27122)Termination phase: Saturation
% 3.19/0.88  
% 3.19/0.88  % (27122)Memory used [KB]: 7675
% 3.19/0.88  % (27122)Time elapsed: 0.050 s
% 3.19/0.88  % (27122)Instructions burned: 68 (million)
% 3.19/0.88  % (27122)------------------------------
% 3.19/0.88  % (27122)------------------------------
% 3.19/0.90  % (27117)Instruction limit reached!
% 3.19/0.90  % (27117)------------------------------
% 3.19/0.90  % (27117)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.19/0.90  % (27117)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.19/0.90  % (27117)Termination reason: Unknown
% 3.19/0.90  % (27117)Termination phase: Saturation
% 3.19/0.90  
% 3.19/0.90  % (27117)Memory used [KB]: 7419
% 3.19/0.90  % (27117)Time elapsed: 0.135 s
% 3.19/0.90  % (27117)Instructions burned: 139 (million)
% 3.19/0.90  % (27117)------------------------------
% 3.19/0.90  % (27117)------------------------------
% 3.57/0.93  % (27111)Instruction limit reached!
% 3.57/0.93  % (27111)------------------------------
% 3.57/0.93  % (27111)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.57/0.93  % (27111)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.57/0.93  % (27111)Termination reason: Unknown
% 3.57/0.93  % (27111)Termination phase: Saturation
% 3.57/0.93  
% 3.57/0.93  % (27111)Memory used [KB]: 2814
% 3.57/0.93  % (27111)Time elapsed: 0.420 s
% 3.57/0.93  % (27111)Instructions burned: 76 (million)
% 3.57/0.93  % (27111)------------------------------
% 3.57/0.93  % (27111)------------------------------
% 3.57/0.93  % (27159)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)
% 3.57/0.95  % (27114)Instruction limit reached!
% 3.57/0.95  % (27114)------------------------------
% 3.57/0.95  % (27114)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.57/0.95  % (27114)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.57/0.95  % (27114)Termination reason: Unknown
% 3.57/0.95  % (27114)Termination phase: Saturation
% 3.57/0.95  
% 3.57/0.95  % (27114)Memory used [KB]: 7291
% 3.57/0.95  % (27114)Time elapsed: 0.069 s
% 3.57/0.95  % (27114)Instructions burned: 100 (million)
% 3.57/0.95  % (27114)------------------------------
% 3.57/0.95  % (27114)------------------------------
% 3.57/0.95  % (27115)Instruction limit reached!
% 3.57/0.95  % (27115)------------------------------
% 3.57/0.95  % (27115)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.57/0.95  % (27115)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.57/0.95  % (27115)Termination reason: Unknown
% 3.57/0.95  % (27115)Termination phase: Saturation
% 3.57/0.95  
% 3.57/0.95  % (27115)Memory used [KB]: 2686
% 3.57/0.95  % (27115)Time elapsed: 0.422 s
% 3.57/0.95  % (27115)Instructions burned: 100 (million)
% 3.57/0.95  % (27115)------------------------------
% 3.57/0.95  % (27115)------------------------------
% 3.57/0.95  % (27107)Instruction limit reached!
% 3.57/0.95  % (27107)------------------------------
% 3.57/0.95  % (27107)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.57/0.95  % (27107)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.57/0.95  % (27107)Termination reason: Unknown
% 3.57/0.95  % (27107)Termination phase: Saturation
% 3.57/0.95  
% 3.57/0.95  % (27107)Memory used [KB]: 7419
% 3.57/0.95  % (27107)Time elapsed: 0.449 s
% 3.57/0.95  % (27107)Instructions burned: 101 (million)
% 3.57/0.95  % (27107)------------------------------
% 3.57/0.95  % (27107)------------------------------
% 3.75/0.96  % (27109)Instruction limit reached!
% 3.75/0.96  % (27109)------------------------------
% 3.75/0.96  % (27109)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.75/0.96  % (27109)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.75/0.96  % (27109)Termination reason: Unknown
% 3.75/0.96  % (27109)Termination phase: Saturation
% 3.75/0.96  
% 3.75/0.96  % (27109)Memory used [KB]: 7547
% 3.75/0.96  % (27109)Time elapsed: 0.450 s
% 3.75/0.96  % (27109)Instructions burned: 100 (million)
% 3.75/0.96  % (27109)------------------------------
% 3.75/0.96  % (27109)------------------------------
% 3.75/0.97  % (27165)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)
% 3.75/0.97  % (27170)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/920Mi)
% 3.75/0.98  % (27108)Instruction limit reached!
% 3.75/0.98  % (27108)------------------------------
% 3.75/0.98  % (27108)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.75/0.98  % (27108)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.75/0.98  % (27108)Termination reason: Unknown
% 3.75/0.98  % (27108)Termination phase: Saturation
% 3.75/0.98  
% 3.75/0.98  % (27108)Memory used [KB]: 7547
% 3.75/0.98  % (27108)Time elapsed: 0.452 s
% 3.75/0.98  % (27108)Instructions burned: 102 (million)
% 3.75/0.98  % (27108)------------------------------
% 3.75/0.98  % (27108)------------------------------
% 3.75/1.02  % (27171)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/934Mi)
% 3.75/1.02  % (27189)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)
% 3.98/1.05  % (27187)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)
% 3.98/1.05  % (27188)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/68Mi)
% 3.98/1.06  % (27123)Instruction limit reached!
% 3.98/1.06  % (27123)------------------------------
% 3.98/1.06  % (27123)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.98/1.06  % (27123)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.98/1.06  % (27123)Termination reason: Unknown
% 3.98/1.06  % (27123)Termination phase: Saturation
% 3.98/1.06  
% 3.98/1.06  % (27123)Memory used [KB]: 2942
% 3.98/1.06  % (27123)Time elapsed: 0.535 s
% 3.98/1.06  % (27123)Instructions burned: 177 (million)
% 3.98/1.06  % (27123)------------------------------
% 3.98/1.06  % (27123)------------------------------
% 3.98/1.07  % (27200)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)
% 4.08/1.09  WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 4.08/1.09  % (27190)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)
% 4.08/1.09  % (27199)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)
% 4.08/1.11  % (27116)Instruction limit reached!
% 4.08/1.11  % (27116)------------------------------
% 4.08/1.11  % (27116)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.08/1.11  % (27116)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.08/1.11  % (27116)Termination reason: Unknown
% 4.08/1.11  % (27116)Termination phase: Saturation
% 4.08/1.11  
% 4.08/1.11  % (27116)Memory used [KB]: 7803
% 4.08/1.11  % (27116)Time elapsed: 0.122 s
% 4.08/1.11  % (27116)Instructions burned: 176 (million)
% 4.08/1.11  % (27116)------------------------------
% 4.08/1.11  % (27116)------------------------------
% 4.08/1.12  % (27165)Instruction limit reached!
% 4.08/1.12  % (27165)------------------------------
% 4.08/1.12  % (27165)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.08/1.12  % (27165)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.08/1.12  % (27165)Termination reason: Unknown
% 4.08/1.12  % (27165)Termination phase: Saturation
% 4.08/1.12  
% 4.08/1.12  % (27165)Memory used [KB]: 7547
% 4.08/1.12  % (27165)Time elapsed: 0.287 s
% 4.08/1.12  % (27165)Instructions burned: 91 (million)
% 4.08/1.12  % (27165)------------------------------
% 4.08/1.12  % (27165)------------------------------
% 4.08/1.12  % (27184)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)
% 4.08/1.13  % (27203)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)
% 4.08/1.13  % (27202)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)
% 4.08/1.16  % (27192)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)
% 4.08/1.16  % (27193)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2016Mi)
% 4.08/1.18  % (27188)Instruction limit reached!
% 4.08/1.18  % (27188)------------------------------
% 4.08/1.18  % (27188)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.08/1.18  % (27188)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.08/1.18  % (27188)Termination reason: Unknown
% 4.08/1.18  % (27188)Termination phase: Saturation
% 4.08/1.18  
% 4.08/1.18  % (27188)Memory used [KB]: 7675
% 4.08/1.18  % (27188)Time elapsed: 0.044 s
% 4.08/1.18  % (27188)Instructions burned: 68 (million)
% 4.08/1.18  % (27188)------------------------------
% 4.08/1.18  % (27188)------------------------------
% 5.74/1.18  % (27201)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4756Mi)
% 5.74/1.19  % (27196)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/3735Mi)
% 6.10/1.20  % (27205)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 (2993ds/1824Mi)
% 6.10/1.21  % (27206)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 (2993ds/2134Mi)
% 6.10/1.23  % (27203)Instruction limit reached!
% 6.10/1.23  % (27203)------------------------------
% 6.10/1.23  % (27203)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.10/1.23  % (27203)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.10/1.23  % (27203)Termination reason: Unknown
% 6.10/1.23  % (27203)Termination phase: Saturation
% 6.10/1.23  
% 6.10/1.23  % (27203)Memory used [KB]: 7675
% 6.10/1.23  % (27203)Time elapsed: 0.045 s
% 6.10/1.23  % (27203)Instructions burned: 68 (million)
% 6.10/1.23  % (27203)------------------------------
% 6.10/1.23  % (27203)------------------------------
% 6.10/1.24  % (27226)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/4585Mi)
% 6.10/1.25  TRYING [16]
% 6.54/1.27  % (27159)Instruction limit reached!
% 6.54/1.27  % (27159)------------------------------
% 6.54/1.27  % (27159)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.54/1.27  % (27159)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.54/1.27  % (27159)Termination reason: Unknown
% 6.54/1.27  % (27159)Termination phase: Saturation
% 6.54/1.27  
% 6.54/1.27  % (27159)Memory used [KB]: 2942
% 6.54/1.27  % (27159)Time elapsed: 0.432 s
% 6.54/1.27  % (27159)Instructions burned: 213 (million)
% 6.54/1.27  % (27159)------------------------------
% 6.54/1.27  % (27159)------------------------------
% 6.54/1.27  % (27208)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/2891Mi)
% 6.54/1.28  % (27120)Instruction limit reached!
% 6.54/1.28  % (27120)------------------------------
% 6.54/1.28  % (27120)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.54/1.28  % (27120)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.54/1.28  % (27120)Termination reason: Unknown
% 6.54/1.28  % (27120)Termination phase: Saturation
% 6.54/1.28  
% 6.54/1.28  % (27120)Memory used [KB]: 9210
% 6.54/1.28  % (27120)Time elapsed: 0.519 s
% 6.54/1.28  % (27120)Instructions burned: 482 (million)
% 6.54/1.28  % (27120)------------------------------
% 6.54/1.28  % (27120)------------------------------
% 6.54/1.30  % (27231)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 (2992ds/2016Mi)
% 6.54/1.32  % (27156)Instruction limit reached!
% 6.54/1.32  % (27156)------------------------------
% 6.54/1.32  % (27156)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.54/1.32  % (27156)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.54/1.32  % (27156)Termination reason: Unknown
% 6.54/1.32  % (27156)Termination phase: Saturation
% 6.54/1.32  
% 6.54/1.32  % (27156)Memory used [KB]: 8443
% 6.54/1.32  % (27156)Time elapsed: 0.573 s
% 6.54/1.32  % (27156)Instructions burned: 388 (million)
% 6.54/1.32  % (27156)------------------------------
% 6.54/1.32  % (27156)------------------------------
% 7.25/1.36  % (27237)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/8004Mi)
% 7.25/1.36  % (27229)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)
% 7.46/1.40  % (27245)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)
% 7.46/1.42  % (27240)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)
% 7.70/1.45  % (27192)Instruction limit reached!
% 7.70/1.45  % (27192)------------------------------
% 7.70/1.45  % (27192)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.70/1.45  % (27192)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.70/1.45  % (27192)Termination reason: Unknown
% 7.70/1.45  % (27192)Termination phase: Saturation
% 7.70/1.45  
% 7.70/1.45  % (27192)Memory used [KB]: 7547
% 7.70/1.45  % (27192)Time elapsed: 0.555 s
% 7.70/1.45  % (27192)Instructions burned: 91 (million)
% 7.70/1.45  % (27192)------------------------------
% 7.70/1.45  % (27192)------------------------------
% 7.70/1.45  % (27242)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)
% 7.70/1.45  % (27249)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)
% 8.28/1.56  % (27229)Instruction limit reached!
% 8.28/1.56  % (27229)------------------------------
% 8.28/1.56  % (27229)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.28/1.56  % (27229)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.28/1.56  % (27229)Termination reason: Unknown
% 8.28/1.56  % (27229)Termination phase: Saturation
% 8.28/1.56  
% 8.28/1.56  % (27229)Memory used [KB]: 7547
% 8.28/1.56  % (27229)Time elapsed: 0.379 s
% 8.28/1.56  % (27229)Instructions burned: 90 (million)
% 8.28/1.56  % (27229)------------------------------
% 8.28/1.56  % (27229)------------------------------
% 8.65/1.63  % (27118)Instruction limit reached!
% 8.65/1.63  % (27118)------------------------------
% 8.65/1.63  % (27118)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.65/1.63  % (27118)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.65/1.63  % (27118)Termination reason: Unknown
% 8.65/1.63  % (27118)Termination phase: Saturation
% 8.65/1.63  
% 8.65/1.63  % (27118)Memory used [KB]: 5245
% 8.65/1.63  % (27118)Time elapsed: 1.061 s
% 8.65/1.63  % (27118)Instructions burned: 499 (million)
% 8.65/1.63  % (27118)------------------------------
% 8.65/1.63  % (27118)------------------------------
% 8.96/1.66  % (27124)Instruction limit reached!
% 8.96/1.66  % (27124)------------------------------
% 8.96/1.66  % (27124)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.96/1.66  % (27124)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.96/1.66  % (27124)Termination reason: Unknown
% 8.96/1.66  % (27124)Termination phase: Saturation
% 8.96/1.66  
% 8.96/1.66  % (27124)Memory used [KB]: 8955
% 8.96/1.66  % (27124)Time elapsed: 0.285 s
% 8.96/1.66  % (27124)Instructions burned: 440 (million)
% 8.96/1.66  % (27124)------------------------------
% 8.96/1.66  % (27124)------------------------------
% 8.96/1.71  % (27258)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/9989Mi)
% 9.49/1.79  % (27125)Instruction limit reached!
% 9.49/1.79  % (27125)------------------------------
% 9.49/1.79  % (27125)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.49/1.79  % (27125)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.49/1.79  % (27125)Termination reason: Unknown
% 9.49/1.79  % (27125)Termination phase: Saturation
% 9.49/1.79  
% 9.49/1.79  % (27125)Memory used [KB]: 8827
% 9.49/1.79  % (27125)Time elapsed: 0.201 s
% 9.49/1.79  % (27125)Instructions burned: 357 (million)
% 9.49/1.79  % (27125)------------------------------
% 9.49/1.79  % (27125)------------------------------
% 9.75/1.80  % (27119)Instruction limit reached!
% 9.75/1.80  % (27119)------------------------------
% 9.75/1.80  % (27119)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.75/1.80  % (27119)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.75/1.80  % (27119)Termination reason: Unknown
% 9.75/1.80  % (27119)Termination phase: Saturation
% 9.75/1.80  
% 9.75/1.80  % (27119)Memory used [KB]: 9083
% 9.75/1.80  % (27119)Time elapsed: 0.298 s
% 9.75/1.80  % (27119)Instructions burned: 467 (million)
% 9.75/1.80  % (27119)------------------------------
% 9.75/1.80  % (27119)------------------------------
% 9.75/1.81  % (27266)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/9707Mi)
% 9.75/1.82  % (27276)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)
% 12.11/1.98  % (27276)Instruction limit reached!
% 12.11/1.98  % (27276)------------------------------
% 12.11/1.98  % (27276)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.11/1.98  % (27276)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.11/1.98  % (27276)Termination reason: Unknown
% 12.11/1.98  % (27276)Termination phase: Saturation
% 12.11/1.98  
% 12.11/1.98  % (27276)Memory used [KB]: 7547
% 12.11/1.98  % (27276)Time elapsed: 0.275 s
% 12.11/1.98  % (27276)Instructions burned: 91 (million)
% 12.11/1.98  % (27276)------------------------------
% 12.11/1.98  % (27276)------------------------------
% 12.11/1.98  % (27281)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)
% 12.93/2.08  % (27291)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)
% 12.93/2.09  % (27293)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)
% 12.93/2.13  % (27187)Instruction limit reached!
% 12.93/2.13  % (27187)------------------------------
% 12.93/2.13  % (27187)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.93/2.13  % (27187)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.93/2.13  % (27187)Termination reason: Unknown
% 12.93/2.13  % (27187)Termination phase: Saturation
% 12.93/2.13  
% 12.93/2.13  % (27187)Memory used [KB]: 11513
% 12.93/2.13  % (27187)Time elapsed: 1.209 s
% 12.93/2.13  % (27187)Instructions burned: 657 (million)
% 12.93/2.13  % (27187)------------------------------
% 12.93/2.13  % (27187)------------------------------
% 13.51/2.16  % (27121)Instruction limit reached!
% 13.51/2.16  % (27121)------------------------------
% 13.51/2.16  % (27121)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 13.51/2.16  % (27121)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 13.51/2.16  % (27121)Termination reason: Unknown
% 13.51/2.16  % (27121)Termination phase: Saturation
% 13.51/2.16  
% 13.51/2.16  % (27121)Memory used [KB]: 10106
% 13.51/2.16  % (27121)Time elapsed: 1.648 s
% 13.51/2.16  % (27121)Instructions burned: 501 (million)
% 13.51/2.16  % (27121)------------------------------
% 13.51/2.16  % (27121)------------------------------
% 15.21/2.41  % (27305)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 (2983ds/32293Mi)
% 15.21/2.42  % (27190)Instruction limit reached!
% 15.21/2.42  % (27190)------------------------------
% 15.21/2.42  % (27190)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.21/2.43  % (27317)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=10187:si=on:rawr=on:rtra=on_0 on theBenchmark for (2981ds/10187Mi)
% 15.21/2.43  % (27190)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.21/2.43  % (27190)Termination reason: Unknown
% 15.21/2.43  % (27190)Termination phase: Saturation
% 15.21/2.43  
% 15.21/2.43  % (27190)Memory used [KB]: 11129
% 15.21/2.43  % (27190)Time elapsed: 0.580 s
% 15.21/2.43  % (27190)Instructions burned: 982 (million)
% 15.21/2.43  % (27190)------------------------------
% 15.21/2.43  % (27190)------------------------------
% 15.21/2.43  % (27189)Instruction limit reached!
% 15.21/2.43  % (27189)------------------------------
% 15.21/2.43  % (27189)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.21/2.43  % (27189)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.21/2.43  % (27189)Termination reason: Unknown
% 15.21/2.43  % (27189)Termination phase: Saturation
% 15.21/2.43  
% 15.21/2.43  % (27189)Memory used [KB]: 10362
% 15.21/2.43  % (27189)Time elapsed: 1.538 s
% 15.21/2.43  % (27189)Instructions burned: 940 (million)
% 15.21/2.43  % (27189)------------------------------
% 15.21/2.43  % (27189)------------------------------
% 16.32/2.55  % (27316)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)
% 16.32/2.55  % (27329)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 (2979ds/29337Mi)
% 16.32/2.57  % (27330)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 (2979ds/10147Mi)
% 17.43/2.70  % (27249)First to succeed.
% 18.58/2.80  % (27249)Refutation found. Thanks to Tanya!
% 18.58/2.80  % SZS status Unsatisfiable for theBenchmark
% 18.58/2.80  % SZS output start Proof for theBenchmark
% See solution above
% 18.58/2.82  % (27249)------------------------------
% 18.58/2.82  % (27249)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 18.58/2.82  % (27249)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 18.58/2.82  % (27249)Termination reason: Refutation
% 18.58/2.82  
% 18.58/2.82  % (27249)Memory used [KB]: 3326
% 18.58/2.82  % (27249)Time elapsed: 1.178 s
% 18.58/2.82  % (27249)Instructions burned: 1240 (million)
% 18.58/2.82  % (27249)------------------------------
% 18.58/2.82  % (27249)------------------------------
% 18.58/2.82  % (27093)Success in time 2.447 s
%------------------------------------------------------------------------------