TSTP Solution File: NUM378+1.015.010 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : NUM378+1.015.010 : 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 : n014.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 18:04:51 EDT 2022

% Result   : Unsatisfiable 12.46s 1.97s
% Output   : Refutation 12.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :  505
% Syntax   : Number of formulae    : 1449 ( 937 unt;   0 def)
%            Number of atoms       : 3025 (2016 equ)
%            Maximal formula atoms :  504 (   2 avg)
%            Number of connectives : 2072 ( 496   ~; 132   |; 940   &)
%                                         ( 504 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  534 (   2 avg)
%            Maximal term depth    :   17 (   3 avg)
%            Number of predicates  :  506 ( 504 usr; 505 prp; 0-2 aty)
%            Number of functors    :   81 (  81 usr;  78 con; 0-2 aty)
%            Number of variables   :  124 (   0   !; 124   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2961,plain,
    $false,
    inference(avatar_smt_refutation,[],[f478,f483,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,f1143,f1148,f1153,f1158,f1163,f1168,f1173,f1178,f1183,f1188,f1193,f1198,f1203,f1208,f1213,f1218,f1223,f1228,f1233,f1238,f1243,f1248,f1253,f1258,f1263,f1268,f1273,f1278,f1283,f1288,f1293,f1298,f1303,f1308,f1313,f1318,f1323,f1328,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,f2000,f2005,f2010,f2015,f2020,f2025,f2030,f2035,f2040,f2045,f2050,f2055,f2060,f2065,f2070,f2075,f2080,f2085,f2090,f2095,f2100,f2105,f2110,f2115,f2120,f2125,f2130,f2135,f2140,f2145,f2150,f2155,f2160,f2165,f2170,f2175,f2180,f2185,f2190,f2195,f2200,f2205,f2210,f2215,f2220,f2225,f2230,f2235,f2240,f2245,f2250,f2255,f2260,f2265,f2270,f2275,f2280,f2285,f2290,f2295,f2300,f2305,f2310,f2315,f2320,f2325,f2330,f2335,f2340,f2345,f2350,f2355,f2360,f2365,f2370,f2375,f2380,f2385,f2390,f2395,f2400,f2405,f2410,f2415,f2420,f2425,f2430,f2435,f2440,f2445,f2450,f2455,f2460,f2465,f2470,f2475,f2480,f2485,f2490,f2495,f2500,f2505,f2510,f2515,f2520,f2525,f2530,f2535,f2540,f2545,f2550,f2555,f2560,f2565,f2570,f2575,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]) ).

fof(f2960,plain,
    ~ spl62_504,
    inference(avatar_split_clause,[],[f93,f2957]) ).

fof(f2957,plain,
    ( spl62_504
  <=> n3 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_504])]) ).

fof(f93,plain,
    n3 != n10,
    inference(cnf_transformation,[],[f2]) ).

fof(f2,plain,
    ? [X32,X53,X3,X16,X46,X45,X54,X55,X40,X19,X58,X47,X42,X7,X6,X15,X56,X8,X23,X52,X21,X59,X50,X1,X36,X29,X33,X14,X10,X48,X26,X39,X13,X44,X24,X30,X35,X28,X22,X34,X49,X37,X61,X12,X5,X31,X9,X11,X4,X41,X51,X17,X18,X0,X20,X57,X25,X2,X38,X43,X60,X27] :
      ( n2 = sum(n11,n7)
      & n1 = sum(n0,n1)
      & succ(n9) = n10
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X11)))))))))))))))) = X0
      & n0 != n5
      & n5 != n11
      & n9 != n13
      & sum(pred(X4),sum(succ(X30),sum(pred(X37),succ(X45)))) = X25
      & sum(pred(X32),sum(succ(X52),sum(pred(X20),succ(X5)))) = X31
      & succ(n4) = n5
      & n14 = sum(n14,n0)
      & n8 != n15
      & n1 = sum(n7,n10)
      & n6 != n12
      & n8 != n10
      & n14 = sum(n8,n6)
      & succ(n3) = n4
      & n5 != n10
      & n7 = sum(n4,n3)
      & n14 = pred(n15)
      & n3 = sum(n13,n6)
      & n1 != n12
      & n14 = sum(n12,n2)
      & n3 != n12
      & n5 != n12
      & n4 = sum(n7,n13)
      & n2 != n14
      & n11 = sum(n4,n7)
      & n12 = sum(n12,n0)
      & n14 = sum(n5,n9)
      & n4 = sum(n8,n12)
      & n12 != n13
      & n13 = sum(n3,n10)
      & n4 != n8
      & n3 = sum(n9,n10)
      & n4 = sum(n10,n10)
      & n8 = sum(n13,n11)
      & n4 != n15
      & n0 != n9
      & n6 != n15
      & n1 != n8
      & n5 = sum(n6,n15)
      & n6 != n7
      & succ(n12) = n13
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X60)))))))))))))))) = X48
      & n12 != n14
      & n8 = sum(n9,n15)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X46)))))))))))))))) = X30
      & n12 = pred(n13)
      & n7 = sum(n5,n2)
      & n11 != n15
      & n5 != n6
      & n2 = sum(n2,n0)
      & n10 = sum(n14,n12)
      & n6 = sum(n15,n7)
      & n14 = sum(n7,n7)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X50)))))))))))))))) = X36
      & n3 = sum(n12,n7)
      & n3 != n13
      & n9 = sum(n4,n5)
      & n12 = sum(n4,n8)
      & n12 = sum(n6,n6)
      & n0 = sum(n1,n15)
      & sum(pred(X43),sum(succ(X24),sum(pred(X59),succ(X14)))) = X8
      & n5 = sum(n7,n14)
      & n12 = sum(n7,n5)
      & sum(pred(X7),sum(succ(X2),sum(pred(X13),succ(X39)))) = X11
      & n4 = sum(n14,n6)
      & n4 = sum(n9,n11)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X10)))))))))))))))) = X14
      & n12 = sum(n11,n1)
      & n12 = sum(n1,n11)
      & n1 = sum(n3,n14)
      & n10 != n12
      & n11 = sum(n5,n6)
      & n9 = sum(n9,n0)
      & n0 = sum(n13,n3)
      & n14 = sum(n10,n4)
      & n8 = pred(n9)
      & n10 = pred(n11)
      & n1 = sum(n2,n15)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X60)))))))))))))))) = X21
      & n12 = sum(n2,n10)
      & n12 = sum(n15,n13)
      & n4 != n5
      & n14 = sum(n13,n1)
      & n12 = sum(n14,n14)
      & n6 != n8
      & n0 = sum(n10,n6)
      & n3 = sum(n1,n2)
      & n10 != n15
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X16)))))))))))))))) = X32
      & n5 = sum(n1,n4)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X55)))))))))))))))) = X56
      & n3 != n15
      & n4 = sum(n1,n3)
      & n15 = sum(n6,n9)
      & sum(sum(pred(X54),succ(X60)),sum(pred(X60),succ(X54))) = X6
      & n2 != n8
      & n11 != n12
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X55)))))))))))))))) = X19
      & n15 = sum(n14,n1)
      & n13 = sum(n0,n13)
      & sum(sum(pred(X49),succ(X25)),sum(pred(X25),succ(X49))) = X9
      & n0 = sum(n8,n8)
      & sum(pred(X18),sum(succ(X57),sum(pred(X41),succ(X12)))) = X61
      & n10 != n13
      & n7 = sum(n10,n13)
      & n11 = sum(n15,n12)
      & n8 = sum(n15,n9)
      & n8 != n12
      & n12 = sum(n0,n12)
      & n3 = sum(n14,n5)
      & n0 = sum(n4,n12)
      & n12 = sum(n9,n3)
      & n0 = sum(n15,n1)
      & n13 != n14
      & n0 != n11
      & n5 = sum(n12,n9)
      & n1 != n10
      & n12 = sum(n8,n4)
      & n11 = sum(n2,n9)
      & n13 = sum(n7,n6)
      & n8 = sum(n12,n12)
      & n13 = sum(n8,n5)
      & n3 != n4
      & n8 != n14
      & n13 = sum(n4,n9)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X9)))))))))))))))) = X43
      & n2 = sum(n6,n12)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X22)))))))))))))))) = X44
      & n5 = sum(n11,n10)
      & n11 = sum(n10,n1)
      & n11 != n13
      & n13 = sum(n13,n0)
      & n0 = sum(n6,n10)
      & n4 != n13
      & n7 = sum(n6,n1)
      & n7 = sum(n9,n14)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X35)))))))))))))))) = X20
      & n13 = sum(n15,n14)
      & n10 = sum(n5,n5)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X17)))))))))))))))) = X13
      & n7 != n10
      & n5 != n7
      & n8 = sum(n10,n14)
      & n6 = sum(n9,n13)
      & n9 = sum(n0,n9)
      & n4 != n10
      & n15 = pred(n0)
      & n0 != n14
      & n7 = sum(n1,n6)
      & n5 = sum(n9,n12)
      & n8 = sum(n7,n1)
      & n3 = sum(n6,n13)
      & n10 = sum(n7,n3)
      & n9 = sum(n14,n11)
      & n7 = sum(n8,n15)
      & n10 = sum(n6,n4)
      & n2 = sum(n5,n13)
      & n11 = sum(n11,n0)
      & n8 != n11
      & n15 = sum(n3,n12)
      & n1 = sum(n8,n9)
      & succ(n6) = n7
      & n11 = sum(n1,n10)
      & n2 = sum(n15,n3)
      & n6 = sum(n12,n10)
      & n2 != n6
      & n3 = pred(n4)
      & n11 = sum(n6,n5)
      & n1 != n15
      & n14 = sum(n1,n13)
      & n6 = sum(n0,n6)
      & n6 != n10
      & n13 = sum(n1,n12)
      & n4 = sum(n2,n2)
      & n12 = sum(n10,n2)
      & n0 != n13
      & n8 = sum(n11,n13)
      & n9 != n14
      & n8 != n13
      & sum(pred(X19),sum(succ(X56),sum(pred(X0),succ(X3)))) = X35
      & sum(sum(pred(X53),succ(X31)),sum(pred(X31),succ(X53))) = X46
      & n13 = sum(n5,n8)
      & n8 = sum(n1,n7)
      & n8 = sum(n8,n0)
      & n10 = sum(n10,n0)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X49)))))))))))))))) = X58
      & n9 = sum(n6,n3)
      & n3 = sum(n4,n15)
      & n6 = sum(n7,n15)
      & n9 != n10
      & n12 = sum(n13,n15)
      & n15 = sum(n15,n0)
      & n13 = sum(n9,n4)
      & n7 = sum(n15,n8)
      & sum(pred(X51),sum(succ(X58),sum(pred(X28),succ(X1)))) = X10
      & n0 != n15
      & n1 = sum(n1,n0)
      & n2 = sum(n8,n10)
      & n2 = sum(n14,n4)
      & n0 = sum(n0,n0)
      & n5 = sum(n10,n11)
      & n0 = sum(n2,n14)
      & succ(n11) = n12
      & n15 = sum(n13,n2)
      & n1 != n7
      & n10 != n11
      & n8 = sum(n0,n8)
      & n2 = sum(n10,n8)
      & n12 != n15
      & n9 = pred(n10)
      & n0 = sum(n3,n13)
      & n6 = sum(n1,n5)
      & n7 != n15
      & n9 = sum(n15,n10)
      & n14 = sum(n9,n5)
      & n4 = sum(n3,n1)
      & n2 != n11
      & n14 = sum(n15,n15)
      & n13 = sum(n12,n1)
      & succ(n1) = n2
      & n15 = sum(n7,n8)
      & n3 = sum(n10,n9)
      & n3 = sum(n8,n11)
      & n2 != n4
      & n2 = sum(n0,n2)
      & n11 != n14
      & n15 = sum(n0,n15)
      & n1 != n6
      & n5 = sum(n14,n7)
      & n14 != n15
      & n0 != n10
      & n10 = sum(n2,n8)
      & sum(pred(X44),sum(succ(X29),sum(pred(X33),succ(X36)))) = X60
      & n14 = sum(n11,n3)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X16)))))))))))))))) = X52
      & n9 = sum(n3,n6)
      & n0 = sum(n11,n5)
      & n3 != n7
      & n13 = sum(n6,n7)
      & n4 != n14
      & n0 = sum(n5,n11)
      & n0 != n4
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X8)))))))))))))))) = X40
      & succ(n10) = n11
      & n3 = sum(n0,n3)
      & n7 != n13
      & n2 = sum(n3,n15)
      & n14 = sum(n3,n11)
      & n3 = sum(n11,n8)
      & n0 = pred(n1)
      & n10 != n14
      & n6 = sum(n6,n0)
      & n9 = sum(n13,n12)
      & n5 != n14
      & n8 = sum(n3,n5)
      & n4 != n6
      & n3 = sum(n3,n0)
      & n7 = sum(n11,n12)
      & n6 = sum(n8,n14)
      & n3 != n9
      & n13 = sum(n10,n3)
      & sum(sum(pred(X22),succ(X50)),sum(pred(X50),succ(X22))) = X54
      & n8 = sum(n5,n3)
      & n2 != n10
      & n8 = sum(n4,n4)
      & succ(n5) = n6
      & n15 = sum(n5,n10)
      & n9 != n15
      & n9 != n11
      & n2 != n3
      & n6 != n11
      & n2 = sum(n12,n6)
      & n7 = pred(n8)
      & n1 != n13
      & n9 != n12
      & n1 != n9
      & sum(pred(X42),sum(succ(X47),sum(pred(X48),succ(X21)))) = X17
      & n5 = sum(n8,n13)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X53)))))))))))))))) = X18
      & n4 != n11
      & n3 != n11
      & n4 = sum(n0,n4)
      & n7 != n12
      & n10 = sum(n8,n2)
      & n1 = pred(n2)
      & n1 != n3
      & n2 != n9
      & n7 = sum(n0,n7)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X50)))))))))))))))) = X33
      & n11 = sum(n13,n14)
      & n13 = sum(n2,n11)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X61)))))))))))))))) = X45
      & n6 = sum(n3,n3)
      & n15 = sum(n12,n3)
      & n1 = sum(n10,n7)
      & n0 != n8
      & n6 = sum(n14,n8)
      & sum(sum(pred(X16),succ(X35)),sum(pred(X35),succ(X16))) = X53
      & n9 = sum(n5,n4)
      & n13 = sum(n11,n2)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X17)))))))))))))))) = X39
      & n6 = sum(n4,n2)
      & n8 != n9
      & n9 = sum(n10,n15)
      & n11 = sum(n8,n3)
      & n1 = sum(n11,n6)
      & n3 = sum(n15,n4)
      & n4 = sum(n5,n15)
      & n5 = pred(n6)
      & n0 != n1
      & n3 != n6
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X10)))))))))))))))) = X59
      & n1 = sum(n5,n12)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X34)))))))))))))))) = X27
      & n5 = sum(n4,n1)
      & n5 = sum(n5,n0)
      & n0 = sum(n14,n2)
      & n1 != n2
      & n7 != n8
      & n0 = succ(n15)
      & n5 = sum(n15,n6)
      & n11 = sum(n3,n8)
      & n9 = sum(n2,n7)
      & n8 = sum(n2,n6)
      & n11 = pred(n12)
      & n6 != n13
      & n5 = sum(n0,n5)
      & n15 = sum(n11,n4)
      & n0 != n3
      & sum(sum(pred(X55),succ(X11)),sum(pred(X11),succ(X55))) = X16
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X35)))))))))))))))) = X5
      & n1 = sum(n4,n13)
      & n0 = sum(n12,n4)
      & n5 = sum(n13,n8)
      & n6 = sum(n2,n4)
      & n0 != n2
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X31)))))))))))))))) = X41
      & n2 != n7
      & sum(sum(pred(X34),succ(X8)),sum(pred(X8),succ(X34))) = X15
      & n9 = sum(n12,n13)
      & n11 = sum(n12,n15)
      & ( X8 != X34
        | X9 != X10
        | X15 != X38
        | X25 != X49 )
      & n0 = sum(n9,n7)
      & n7 = sum(n12,n11)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X49)))))))))))))))) = X51
      & n10 = sum(n0,n10)
      & n7 != n14
      & n7 = sum(n14,n9)
      & n0 = sum(n7,n9)
      & succ(n7) = n8
      & n0 != n7
      & n10 = sum(n3,n7)
      & succ(n14) = n15
      & n5 = sum(n3,n2)
      & n13 = sum(n14,n15)
      & n13 != n15
      & n13 = pred(n14)
      & n1 = sum(n9,n8)
      & n10 = sum(n13,n13)
      & n4 = sum(n13,n7)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X54)))))))))))))))) = X47
      & n8 = sum(n6,n2)
      & n4 = sum(n11,n9)
      & n6 != n14
      & n2 != n13
      & n11 = sum(n7,n4)
      & n15 = sum(n10,n5)
      & n2 = sum(n7,n11)
      & n3 != n8
      & n6 = sum(n10,n12)
      & n5 != n8
      & n2 = pred(n3)
      & n1 != n5
      & n5 != n9
      & n4 != n9
      & n4 = sum(n4,n0)
      & succ(n8) = n9
      & n10 = sum(n12,n14)
      & n3 != n10
      & n7 = sum(n3,n4)
      & n14 = sum(n6,n8)
      & sum(sum(pred(X9),succ(X10)),sum(pred(X10),succ(X9))) = X34
      & n3 = sum(n5,n14)
      & n10 = sum(n11,n15)
      & n2 != n12
      & n2 != n5
      & n3 != n14
      & n1 = sum(n13,n4)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X22)))))))))))))))) = X29
      & n4 = sum(n6,n14)
      & n3 = sum(n2,n1)
      & ( n3 = X50
        | n2 = X50
        | n15 = X50
        | n12 = X50
        | n5 = X50
        | n7 = X50
        | n9 = X50
        | n10 = X50
        | n13 = X50
        | n8 = X50
        | n0 = X50
        | n11 = X50
        | n6 = X50
        | n14 = X50
        | n1 = X50
        | n4 = X50 )
      & succ(n0) = n1
      & n1 != n14
      & n4 = sum(n15,n5)
      & n7 = sum(n13,n10)
      & succ(n13) = n14
      & n10 = sum(n15,n11)
      & n4 = pred(n5)
      & n12 = sum(n5,n7)
      & sum(sum(pred(X6),succ(X17)),sum(pred(X17),succ(X6))) = X55
      & n6 = sum(n11,n11)
      & n14 = sum(n4,n10)
      & n6 = sum(n13,n9)
      & n6 != n9
      & n0 != n6
      & n4 != n7
      & n2 = sum(n4,n14)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X61)))))))))))))))) = X37
      & n11 = sum(n14,n13)
      & n10 = sum(n1,n9)
      & n9 = sum(n11,n14)
      & n14 = sum(n0,n14)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X25)))))))))))))))) = X28
      & n1 = sum(n12,n5)
      & n5 = sum(n2,n3)
      & n14 = sum(n2,n12)
      & n2 != n15
      & n15 = sum(n9,n6)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X34)))))))))))))))) = X23
      & n4 != n12
      & n5 != n15
      & n5 != n13
      & ( n6 = X22
        | n9 = X22
        | n5 = X22
        | n14 = X22
        | n2 = X22
        | n8 = X22
        | n0 = X22
        | n10 = X22
        | n11 = X22
        | n13 = X22
        | n7 = X22
        | n12 = X22
        | n3 = X22
        | n4 = X22
        | n1 = X22
        | n15 = X22 )
      & sum(pred(X23),sum(succ(X27),sum(pred(X40),succ(X26)))) = X38
      & succ(n2) = n3
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X8)))))))))))))))) = X26
      & n15 = sum(n4,n11)
      & n11 = sum(n0,n11)
      & n1 = sum(n14,n3)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X54)))))))))))))))) = X42
      & n0 != n12
      & sum(sum(pred(X46),succ(X61)),sum(pred(X61),succ(X46))) = X49
      & n9 = sum(n1,n8)
      & n2 = sum(n13,n5)
      & n2 = sum(n9,n9)
      & n11 = sum(n9,n2)
      & n1 != n11
      & n1 = sum(n6,n11)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X25)))))))))))))))) = X1
      & n4 = sum(n12,n8)
      & n9 = sum(n8,n1)
      & n12 = sum(n3,n9)
      & n3 = sum(n7,n12)
      & n7 = sum(n2,n5)
      & n10 = sum(n4,n6)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X6)))))))))))))))) = X7
      & n8 = sum(n14,n10)
      & n1 != n4
      & n10 = sum(n9,n1)
      & n7 != n11
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X31)))))))))))))))) = X12
      & n15 = sum(n1,n14)
      & n2 = sum(n1,n1)
      & n6 = sum(n5,n1)
      & n1 = sum(n15,n2)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X53)))))))))))))))) = X57
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X46)))))))))))))))) = X4
      & n7 = sum(n7,n0)
      & n15 = sum(n2,n13)
      & n6 = pred(n7)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X11)))))))))))))))) = X3
      & n7 != n9
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X9)))))))))))))))) = X24
      & n3 != n5
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X6)))))))))))))))) = X2
      & n9 = sum(n7,n2)
      & n15 = sum(n8,n7) ),
    inference(rectify,[],[f1]) ).

fof(f1,axiom,
    ? [X37,X51,X30,X35,X48,X39,X4,X32,X19,X16,X17,X7,X43,X33,X55,X20,X8,X5,X44,X36,X41,X27,X0,X60,X54,X15,X59,X58,X53,X22,X46,X11,X40,X25,X18,X9,X23,X49,X21,X31,X61,X45,X28,X56,X24,X47,X12,X26,X29,X14,X1,X52,X38,X10,X2,X6,X34,X42,X50,X57,X3,X13] :
      ( n14 = sum(n4,n10)
      & n1 != n9
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X2)))))))))))))))) = X26
      & n5 = sum(n5,n0)
      & n11 = sum(n3,n8)
      & n9 = sum(n7,n2)
      & n10 != n14
      & n6 != n7
      & n0 != n4
      & n5 = sum(n0,n5)
      & n14 = sum(n14,n0)
      & n4 = sum(n6,n14)
      & n2 != n9
      & n11 = sum(n6,n5)
      & n9 = sum(n4,n5)
      & n7 = sum(n3,n4)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X6)))))))))))))))) = X34
      & n12 = sum(n7,n5)
      & n13 = sum(n8,n5)
      & succ(n4) = n5
      & n1 = sum(n11,n6)
      & n0 = sum(n10,n6)
      & n7 = sum(n6,n1)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X19)))))))))))))))) = X61
      & n2 != n6
      & n12 = sum(n13,n15)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X18)))))))))))))))) = X60
      & n9 = sum(n14,n11)
      & n1 = sum(n2,n15)
      & n11 = sum(n5,n6)
      & n11 = sum(n0,n11)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X8)))))))))))))))) = X38
      & n1 != n8
      & n8 = sum(n10,n14)
      & sum(sum(pred(X10),succ(X11)),sum(pred(X11),succ(X10))) = X12
      & n13 = sum(n3,n10)
      & n5 = pred(n6)
      & n5 = sum(n6,n15)
      & n5 = sum(n4,n1)
      & n14 = sum(n5,n9)
      & n2 = sum(n1,n1)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X19)))))))))))))))) = X59
      & n4 = sum(n13,n7)
      & n11 != n12
      & n12 = sum(n11,n1)
      & n12 = sum(n12,n0)
      & n6 = sum(n3,n3)
      & n5 != n11
      & n7 = sum(n5,n2)
      & n4 = sum(n14,n6)
      & n2 = sum(n14,n4)
      & n7 != n13
      & n7 = sum(n4,n3)
      & n12 = sum(n9,n3)
      & n0 = sum(n0,n0)
      & n2 = sum(n3,n15)
      & n1 = sum(n8,n9)
      & n14 != n15
      & n4 != n12
      & n14 = sum(n3,n11)
      & n2 = sum(n4,n14)
      & n3 != n9
      & succ(n3) = n4
      & ( X18 != X19
        | X16 != X17
        | X20 != X21
        | X14 != X15 )
      & n6 != n13
      & n8 != n11
      & n11 = sum(n7,n4)
      & n15 = sum(n12,n3)
      & n3 != n5
      & n3 = pred(n4)
      & n14 = sum(n9,n5)
      & n7 != n12
      & n5 != n6
      & n3 = sum(n1,n2)
      & n1 != n13
      & n12 != n15
      & n1 = sum(n6,n11)
      & n7 = sum(n8,n15)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X5)))))))))))))))) = X31
      & succ(n7) = n8
      & n1 = sum(n10,n7)
      & n13 = sum(n13,n0)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X2)))))))))))))))) = X28
      & n2 != n15
      & n10 = sum(n2,n8)
      & n1 = sum(n12,n5)
      & n2 = sum(n11,n7)
      & n15 = sum(n7,n8)
      & n1 != n5
      & n11 = sum(n8,n3)
      & n10 = sum(n5,n5)
      & n14 = sum(n15,n15)
      & n6 != n14
      & n13 = sum(n9,n4)
      & n1 = sum(n1,n0)
      & n7 = sum(n10,n13)
      & n8 = pred(n9)
      & n6 != n15
      & n0 = sum(n11,n5)
      & sum(pred(X28),sum(succ(X26),sum(pred(X29),succ(X27)))) = X5
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X12)))))))))))))))) = X48
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X9)))))))))))))))) = X41
      & n13 = sum(n6,n7)
      & n7 = sum(n14,n9)
      & n10 != n12
      & n2 != n4
      & n8 = sum(n6,n2)
      & n3 = sum(n6,n13)
      & sum(pred(X60),sum(succ(X58),sum(pred(X61),succ(X59)))) = X21
      & n6 != n12
      & sum(sum(pred(X4),succ(X5)),sum(pred(X5),succ(X4))) = X6
      & n5 = sum(n11,n10)
      & n9 = sum(n12,n13)
      & n12 = sum(n8,n4)
      & n9 = sum(n9,n0)
      & n0 != n6
      & n4 = sum(n0,n4)
      & n5 != n9
      & n15 = sum(n6,n9)
      & n0 = succ(n15)
      & succ(n8) = n9
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X16)))))))))))))))) = X56
      & n14 = sum(n0,n14)
      & n14 = sum(n2,n12)
      & n1 = sum(n15,n2)
      & n11 = sum(n11,n0)
      & n15 = sum(n1,n14)
      & n7 = sum(n0,n7)
      & n3 != n13
      & n1 != n6
      & n0 != n9
      & n4 != n9
      & n2 = sum(n8,n10)
      & n5 = sum(n3,n2)
      & n13 = sum(n10,n3)
      & n6 = sum(n0,n6)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X5)))))))))))))))) = X33
      & n14 = sum(n1,n13)
      & n10 = sum(n11,n15)
      & n2 != n8
      & n12 = sum(n5,n7)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X3)))))))))))))))) = X29
      & n6 = sum(n12,n10)
      & n12 = sum(n0,n12)
      & n9 = sum(n13,n12)
      & n5 != n7
      & n5 != n8
      & n7 = sum(n9,n14)
      & n4 = sum(n2,n2)
      & n0 != n13
      & n12 = sum(n3,n9)
      & n14 = sum(n13,n1)
      & n6 = sum(n4,n2)
      & n4 = sum(n11,n9)
      & n2 = sum(n5,n13)
      & n11 = sum(n4,n7)
      & n13 = sum(n1,n12)
      & n2 = sum(n7,n11)
      & n13 = sum(n7,n6)
      & n13 = sum(n4,n9)
      & n6 = sum(n14,n8)
      & n8 = sum(n11,n13)
      & n13 = sum(n14,n15)
      & n3 = sum(n13,n6)
      & sum(pred(X48),sum(succ(X46),sum(pred(X49),succ(X47)))) = X15
      & n12 = sum(n10,n2)
      & n13 = sum(n15,n14)
      & n2 != n11
      & n2 = sum(n2,n0)
      & n4 = sum(n8,n12)
      & n11 != n13
      & n14 = sum(n7,n7)
      & n10 = sum(n8,n2)
      & n10 != n15
      & n10 = sum(n15,n11)
      & n8 = sum(n13,n11)
      & n3 = sum(n4,n15)
      & n0 = sum(n2,n14)
      & n12 = pred(n13)
      & n6 = sum(n15,n7)
      & n2 = sum(n13,n5)
      & n13 = sum(n0,n13)
      & n6 = sum(n6,n0)
      & n1 != n10
      & n4 = sum(n5,n15)
      & n7 != n15
      & n1 != n12
      & sum(sum(pred(X12),succ(X13)),sum(pred(X13),succ(X12))) = X14
      & n9 != n11
      & n0 != n1
      & sum(pred(X56),sum(succ(X54),sum(pred(X57),succ(X55)))) = X19
      & n4 = sum(n7,n13)
      & n7 = sum(n11,n12)
      & n4 = pred(n5)
      & n1 != n14
      & n2 = sum(n0,n2)
      & n10 = sum(n14,n12)
      & n10 = sum(n10,n0)
      & sum(sum(pred(X18),succ(X19)),sum(pred(X19),succ(X18))) = X20
      & n4 != n8
      & n1 != n11
      & n1 != n3
      & n10 = sum(n9,n1)
      & n10 = sum(n4,n6)
      & n4 = sum(n1,n3)
      & succ(n0) = n1
      & n10 != n11
      & n6 = sum(n5,n1)
      & n3 = sum(n15,n4)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X11)))))))))))))))) = X45
      & n11 = sum(n12,n15)
      & n1 = sum(n13,n4)
      & n0 = sum(n14,n2)
      & n8 = sum(n4,n4)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X17)))))))))))))))) = X55
      & n3 = sum(n3,n0)
      & n9 = sum(n3,n6)
      & n9 = pred(n10)
      & n8 != n9
      & n8 != n14
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X0)))))))))))))))) = X22
      & n2 = sum(n10,n8)
      & n9 = sum(n5,n4)
      & n8 = sum(n15,n9)
      & n6 != n10
      & sum(pred(X40),sum(succ(X38),sum(pred(X41),succ(X39)))) = X11
      & n5 = sum(n1,n4)
      & n3 != n4
      & n9 = sum(n10,n15)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X1)))))))))))))))) = X25
      & n0 = pred(n1)
      & n8 = sum(n0,n8)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X0)))))))))))))))) = X24
      & n6 = sum(n9,n13)
      & n1 = sum(n14,n3)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X12)))))))))))))))) = X46
      & n15 = sum(n8,n7)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X16)))))))))))))))) = X54
      & n15 = sum(n4,n11)
      & n11 = sum(n10,n1)
      & n3 = sum(n5,n14)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X17)))))))))))))))) = X57
      & sum(sum(pred(X14),succ(X15)),sum(pred(X15),succ(X14))) = X16
      & n15 = sum(n10,n5)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X15)))))))))))))))) = X53
      & n11 = pred(n12)
      & n6 = sum(n10,n12)
      & n14 = sum(n11,n3)
      & n1 = sum(n4,n13)
      & n2 = sum(n6,n12)
      & n2 = sum(n15,n3)
      & n3 != n12
      & n7 != n9
      & n13 = sum(n5,n8)
      & n15 = sum(n2,n13)
      & n3 != n7
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X13)))))))))))))))) = X49
      & n5 != n13
      & succ(n13) = n14
      & n6 = sum(n13,n9)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X3)))))))))))))))) = X27
      & n0 = sum(n8,n8)
      & n14 = sum(n12,n2)
      & n3 = sum(n11,n8)
      & n11 = sum(n2,n9)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X4)))))))))))))))) = X30
      & n12 = sum(n6,n6)
      & n8 != n15
      & succ(n10) = n11
      & n0 != n14
      & n4 != n13
      & n11 != n15
      & succ(n1) = n2
      & n8 = sum(n12,n12)
      & sum(sum(pred(X8),succ(X9)),sum(pred(X9),succ(X8))) = X10
      & n4 = sum(n10,n10)
      & n0 != n7
      & n1 != n7
      & n8 = sum(n5,n3)
      & n5 = sum(n8,n13)
      & n3 = sum(n7,n12)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X4)))))))))))))))) = X32
      & n4 != n5
      & n4 != n15
      & n3 != n8
      & n4 != n11
      & n13 != n15
      & n15 = sum(n3,n12)
      & succ(n5) = n6
      & n4 != n6
      & n0 = sum(n3,n13)
      & succ(n12) = n13
      & n6 != n11
      & n1 = sum(n3,n14)
      & n3 = sum(n2,n1)
      & n7 = sum(n1,n6)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X6)))))))))))))))) = X36
      & n7 = sum(n7,n0)
      & n9 != n13
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X15)))))))))))))))) = X51
      & n10 = sum(n0,n10)
      & n0 = sum(n5,n11)
      & n15 = sum(n0,n15)
      & n6 = sum(n1,n5)
      & n10 = pred(n11)
      & n9 != n15
      & sum(pred(X36),sum(succ(X34),sum(pred(X37),succ(X35)))) = X9
      & succ(n14) = n15
      & n5 = sum(n13,n8)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X8)))))))))))))))) = X40
      & n8 != n10
      & n12 = sum(n1,n11)
      & n4 = sum(n9,n11)
      & n7 != n11
      & n3 != n6
      & n0 != n8
      & n15 = pred(n0)
      & n10 = sum(n13,n13)
      & n9 = sum(n15,n10)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X1)))))))))))))))) = X23
      & n1 = sum(n9,n8)
      & n10 = sum(n12,n14)
      & n3 != n10
      & n7 != n14
      & succ(n11) = n12
      & n6 = sum(n7,n15)
      & n12 = sum(n14,n14)
      & n5 = sum(n12,n9)
      & n9 != n14
      & succ(n9) = n10
      & sum(pred(X32),sum(succ(X30),sum(pred(X33),succ(X31)))) = X7
      & n15 = sum(n11,n4)
      & n13 = sum(n2,n11)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X9)))))))))))))))) = X39
      & n9 = sum(n6,n3)
      & n2 != n5
      & n3 = sum(n14,n5)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X11)))))))))))))))) = X43
      & n2 != n7
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X13)))))))))))))))) = X47
      & n7 = sum(n12,n11)
      & n9 = sum(n1,n8)
      & n11 = sum(n1,n10)
      & n0 != n2
      & n0 != n12
      & n10 = sum(n6,n4)
      & n0 = sum(n7,n9)
      & n2 = sum(n12,n6)
      & n3 = sum(n0,n3)
      & sum(pred(X24),sum(succ(X22),sum(pred(X25),succ(X23)))) = X3
      & n11 != n14
      & n6 != n8
      & n14 = sum(n8,n6)
      & n6 = sum(n11,n11)
      & n0 != n15
      & n1 = sum(n5,n12)
      & n4 = sum(n4,n0)
      & n8 = sum(n14,n10)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X10)))))))))))))))) = X42
      & n7 != n8
      & n12 = sum(n15,n13)
      & n4 != n7
      & n7 = sum(n15,n8)
      & n7 = sum(n2,n5)
      & succ(n6) = n7
      & sum(sum(pred(X2),succ(X3)),sum(pred(X3),succ(X2))) = X4
      & sum(pred(X44),sum(succ(X42),sum(pred(X45),succ(X43)))) = X13
      & n14 = sum(n10,n4)
      & n10 != n13
      & n11 = sum(n15,n12)
      & n9 = sum(n2,n7)
      & n7 = pred(n8)
      & n5 != n14
      & n8 = sum(n8,n0)
      & n0 = sum(n6,n10)
      & n2 != n10
      & n8 != n13
      & n12 != n13
      & n8 = sum(n2,n6)
      & n5 != n10
      & n3 != n14
      & n7 = sum(n13,n10)
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X18)))))))))))))))) = X58
      & n2 = sum(n9,n9)
      & n13 = pred(n14)
      & ( n3 = X1
        | n4 = X1
        | n10 = X1
        | n15 = X1
        | n13 = X1
        | n11 = X1
        | n8 = X1
        | n1 = X1
        | n2 = X1
        | n9 = X1
        | n5 = X1
        | n12 = X1
        | n14 = X1
        | n6 = X1
        | n0 = X1
        | n7 = X1 )
      & n8 = sum(n7,n1)
      & n13 != n14
      & n12 = sum(n2,n10)
      & n0 != n5
      & n2 != n12
      & n0 = sum(n13,n3)
      & n10 = sum(n3,n7)
      & n11 = sum(n9,n2)
      & n15 = sum(n9,n6)
      & n0 = sum(n1,n15)
      & n1 != n2
      & n5 != n15
      & n5 = sum(n9,n12)
      & n12 != n14
      & n0 = sum(n9,n7)
      & n9 = sum(n8,n1)
      & n0 != n3
      & n8 = sum(n1,n7)
      & n5 != n12
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X7)))))))))))))))) = X35
      & n2 = pred(n3)
      & n12 = sum(n4,n8)
      & n1 = pred(n2)
      & n15 = sum(n13,n2)
      & n8 = sum(n9,n15)
      & n13 = sum(n11,n2)
      & n5 = sum(n10,n11)
      & n10 = sum(n7,n3)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X10)))))))))))))))) = X44
      & n0 = sum(n12,n4)
      & n5 = sum(n15,n6)
      & n8 = sum(n3,n5)
      & n6 = pred(n7)
      & n9 = sum(n0,n9)
      & n9 = sum(n11,n14)
      & n15 = sum(n5,n10)
      & n5 = sum(n14,n7)
      & sum(sum(pred(X6),succ(X7)),sum(pred(X7),succ(X6))) = X8
      & n11 = sum(n13,n14)
      & sum(sum(pred(X16),succ(X17)),sum(pred(X17),succ(X16))) = X18
      & n2 != n13
      & pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(X14)))))))))))))))) = X50
      & n2 != n3
      & n5 = sum(n2,n3)
      & n9 != n10
      & n15 = sum(n14,n1)
      & succ(n2) = n3
      & n3 = sum(n10,n9)
      & n4 = sum(n15,n5)
      & sum(pred(X52),sum(succ(X50),sum(pred(X53),succ(X51)))) = X17
      & n3 != n15
      & n14 = sum(n6,n8)
      & n6 = sum(n8,n14)
      & n1 = sum(n7,n10)
      & n3 = sum(n8,n11)
      & n10 = sum(n1,n9)
      & n4 = sum(n12,n8)
      & ( n7 = X0
        | n4 = X0
        | n11 = X0
        | n2 = X0
        | n1 = X0
        | n15 = X0
        | n8 = X0
        | n10 = X0
        | n14 = X0
        | n13 = X0
        | n9 = X0
        | n3 = X0
        | n12 = X0
        | n6 = X0
        | n5 = X0
        | n0 = X0 )
      & n1 != n4
      & n6 != n9
      & n3 = sum(n12,n7)
      & n4 != n10
      & n1 = sum(n0,n1)
      & n0 != n11
      & n1 != n15
      & n4 != n14
      & n3 = sum(n9,n10)
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X7)))))))))))))))) = X37
      & n0 = sum(n4,n12)
      & sum(sum(pred(X0),succ(X1)),sum(pred(X1),succ(X0))) = X2
      & n15 = sum(n15,n0)
      & n6 = sum(n2,n4)
      & n4 = sum(n3,n1)
      & n13 = sum(n12,n1)
      & n14 = pred(n15)
      & n0 != n10
      & n2 != n14
      & succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X14)))))))))))))))) = X52
      & n0 = sum(n15,n1)
      & n7 != n10
      & n3 != n11
      & n5 = sum(n7,n14)
      & n8 != n12
      & n9 != n12
      & n11 = sum(n14,n13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

fof(f2955,plain,
    spl62_503,
    inference(avatar_split_clause,[],[f83,f2952]) ).

fof(f2952,plain,
    ( spl62_503
  <=> sK25 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK38)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_503])]) ).

fof(f83,plain,
    sK25 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK38)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2950,plain,
    ~ spl62_502,
    inference(avatar_split_clause,[],[f98,f2947]) ).

fof(f2947,plain,
    ( spl62_502
  <=> n5 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_502])]) ).

fof(f98,plain,
    n5 != n9,
    inference(cnf_transformation,[],[f2]) ).

fof(f2945,plain,
    spl62_501,
    inference(avatar_split_clause,[],[f222,f2942]) ).

fof(f2942,plain,
    ( spl62_501
  <=> n3 = sum(n11,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_501])]) ).

fof(f222,plain,
    n3 = sum(n11,n8),
    inference(cnf_transformation,[],[f2]) ).

fof(f2940,plain,
    ~ spl62_500,
    inference(avatar_split_clause,[],[f347,f2937]) ).

fof(f2937,plain,
    ( spl62_500
  <=> n8 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_500])]) ).

fof(f347,plain,
    n8 != n14,
    inference(cnf_transformation,[],[f2]) ).

fof(f2935,plain,
    spl62_499,
    inference(avatar_split_clause,[],[f234,f2932]) ).

fof(f2932,plain,
    ( spl62_499
  <=> n0 = sum(n11,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_499])]) ).

fof(f234,plain,
    n0 = sum(n11,n5),
    inference(cnf_transformation,[],[f2]) ).

fof(f2930,plain,
    ~ spl62_498,
    inference(avatar_split_clause,[],[f145,f2927]) ).

fof(f2927,plain,
    ( spl62_498
  <=> n6 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_498])]) ).

fof(f145,plain,
    n6 != n13,
    inference(cnf_transformation,[],[f2]) ).

fof(f2925,plain,
    ~ spl62_497,
    inference(avatar_split_clause,[],[f357,f2922]) ).

fof(f2922,plain,
    ( spl62_497
  <=> n13 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_497])]) ).

fof(f357,plain,
    n13 != n14,
    inference(cnf_transformation,[],[f2]) ).

fof(f2920,plain,
    ~ spl62_496,
    inference(avatar_split_clause,[],[f195,f2917]) ).

fof(f2917,plain,
    ( spl62_496
  <=> n1 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_496])]) ).

fof(f195,plain,
    n1 != n9,
    inference(cnf_transformation,[],[f2]) ).

fof(f2915,plain,
    ~ spl62_495,
    inference(avatar_split_clause,[],[f66,f2912]) ).

fof(f2912,plain,
    ( spl62_495
  <=> n4 = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_495])]) ).

fof(f66,plain,
    n4 != n7,
    inference(cnf_transformation,[],[f2]) ).

fof(f2910,plain,
    spl62_494,
    inference(avatar_split_clause,[],[f420,f2907]) ).

fof(f2907,plain,
    ( spl62_494
  <=> n10 = sum(n14,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_494])]) ).

fof(f420,plain,
    n10 = sum(n14,n12),
    inference(cnf_transformation,[],[f2]) ).

fof(f2905,plain,
    spl62_493,
    inference(avatar_split_clause,[],[f61,f2902]) ).

fof(f2902,plain,
    ( spl62_493
  <=> n9 = sum(n11,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_493])]) ).

fof(f61,plain,
    n9 = sum(n11,n14),
    inference(cnf_transformation,[],[f2]) ).

fof(f2900,plain,
    spl62_492,
    inference(avatar_split_clause,[],[f182,f2897]) ).

fof(f2897,plain,
    ( spl62_492
  <=> sK26 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK22)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_492])]) ).

fof(f182,plain,
    sK26 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK22)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2895,plain,
    spl62_491,
    inference(avatar_split_clause,[],[f285,f2892]) ).

fof(f2892,plain,
    ( spl62_491
  <=> sK10 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK40)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_491])]) ).

fof(f285,plain,
    sK10 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK40)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2890,plain,
    spl62_490,
    inference(avatar_split_clause,[],[f406,f2887]) ).

fof(f2887,plain,
    ( spl62_490
  <=> n4 = sum(n14,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_490])]) ).

fof(f406,plain,
    n4 = sum(n14,n6),
    inference(cnf_transformation,[],[f2]) ).

fof(f2885,plain,
    spl62_489,
    inference(avatar_split_clause,[],[f92,f2882]) ).

fof(f2882,plain,
    ( spl62_489
  <=> n7 = sum(n3,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_489])]) ).

fof(f92,plain,
    n7 = sum(n3,n4),
    inference(cnf_transformation,[],[f2]) ).

fof(f2880,plain,
    spl62_488,
    inference(avatar_split_clause,[],[f214,f2877]) ).

fof(f2877,plain,
    ( spl62_488
  <=> n3 = sum(n3,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_488])]) ).

fof(f214,plain,
    n3 = sum(n3,n0),
    inference(cnf_transformation,[],[f2]) ).

fof(f2875,plain,
    spl62_487,
    inference(avatar_split_clause,[],[f171,f2872]) ).

fof(f2872,plain,
    ( spl62_487
  <=> n13 = sum(n11,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_487])]) ).

fof(f171,plain,
    n13 = sum(n11,n2),
    inference(cnf_transformation,[],[f2]) ).

fof(f2870,plain,
    ~ spl62_486,
    inference(avatar_split_clause,[],[f312,f2867]) ).

fof(f2867,plain,
    ( spl62_486
  <=> n8 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_486])]) ).

fof(f312,plain,
    n8 != n11,
    inference(cnf_transformation,[],[f2]) ).

fof(f2865,plain,
    spl62_485,
    inference(avatar_split_clause,[],[f391,f2862]) ).

fof(f2862,plain,
    ( spl62_485
  <=> n12 = sum(n2,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_485])]) ).

fof(f391,plain,
    n12 = sum(n2,n10),
    inference(cnf_transformation,[],[f2]) ).

fof(f2860,plain,
    ~ spl62_484,
    inference(avatar_split_clause,[],[f52,f2857]) ).

fof(f2857,plain,
    ( spl62_484
  <=> n4 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_484])]) ).

fof(f52,plain,
    n4 != n12,
    inference(cnf_transformation,[],[f2]) ).

fof(f2855,plain,
    spl62_483,
    inference(avatar_split_clause,[],[f454,f2852]) ).

fof(f2852,plain,
    ( spl62_483
  <=> n14 = pred(n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_483])]) ).

fof(f454,plain,
    n14 = pred(n15),
    inference(cnf_transformation,[],[f2]) ).

fof(f2850,plain,
    spl62_482,
    inference(avatar_split_clause,[],[f148,f2847]) ).

fof(f2847,plain,
    ( spl62_482
  <=> n9 = sum(n2,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_482])]) ).

fof(f148,plain,
    n9 = sum(n2,n7),
    inference(cnf_transformation,[],[f2]) ).

fof(f2845,plain,
    spl62_481,
    inference(avatar_split_clause,[],[f12,f2842]) ).

fof(f2842,plain,
    ( spl62_481
  <=> sK2 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK47)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_481])]) ).

fof(f12,plain,
    sK2 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK47)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2840,plain,
    spl62_480,
    inference(avatar_split_clause,[],[f430,f2837]) ).

fof(f2837,plain,
    ( spl62_480
  <=> succ(n12) = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_480])]) ).

fof(f430,plain,
    succ(n12) = n13,
    inference(cnf_transformation,[],[f2]) ).

fof(f2835,plain,
    spl62_479,
    inference(avatar_split_clause,[],[f122,f2832]) ).

fof(f2832,plain,
    ( spl62_479
  <=> succ(n7) = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_479])]) ).

fof(f122,plain,
    succ(n7) = n8,
    inference(cnf_transformation,[],[f2]) ).

fof(f2830,plain,
    ~ spl62_478,
    inference(avatar_split_clause,[],[f153,f2827]) ).

fof(f2827,plain,
    ( spl62_478
  <=> n1 = n2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_478])]) ).

fof(f153,plain,
    n1 != n2,
    inference(cnf_transformation,[],[f2]) ).

fof(f2825,plain,
    spl62_477,
    inference(avatar_split_clause,[],[f105,f2822]) ).

fof(f2822,plain,
    ( spl62_477
  <=> n15 = sum(n10,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_477])]) ).

fof(f105,plain,
    n15 = sum(n10,n5),
    inference(cnf_transformation,[],[f2]) ).

fof(f2820,plain,
    spl62_476,
    inference(avatar_split_clause,[],[f399,f2817]) ).

fof(f2817,plain,
    ( spl62_476
  <=> n11 = sum(n5,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_476])]) ).

fof(f399,plain,
    n11 = sum(n5,n6),
    inference(cnf_transformation,[],[f2]) ).

fof(f2815,plain,
    spl62_475,
    inference(avatar_split_clause,[],[f315,f2812]) ).

fof(f2812,plain,
    ( spl62_475
  <=> n10 = sum(n6,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_475])]) ).

fof(f315,plain,
    n10 = sum(n6,n4),
    inference(cnf_transformation,[],[f2]) ).

fof(f2810,plain,
    spl62_474,
    inference(avatar_split_clause,[],[f432,f2807]) ).

fof(f2807,plain,
    ( spl62_474
  <=> n5 = sum(n6,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_474])]) ).

fof(f432,plain,
    n5 = sum(n6,n15),
    inference(cnf_transformation,[],[f2]) ).

fof(f2805,plain,
    spl62_473,
    inference(avatar_split_clause,[],[f94,f2802]) ).

fof(f2802,plain,
    ( spl62_473
  <=> n10 = sum(n12,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_473])]) ).

fof(f94,plain,
    n10 = sum(n12,n14),
    inference(cnf_transformation,[],[f2]) ).

fof(f2800,plain,
    spl62_472,
    inference(avatar_split_clause,[],[f301,f2797]) ).

fof(f2797,plain,
    ( spl62_472
  <=> n14 = sum(n1,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_472])]) ).

fof(f301,plain,
    n14 = sum(n1,n13),
    inference(cnf_transformation,[],[f2]) ).

fof(f2795,plain,
    spl62_471,
    inference(avatar_split_clause,[],[f280,f2792]) ).

fof(f2792,plain,
    ( spl62_471
  <=> n12 = sum(n13,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_471])]) ).

fof(f280,plain,
    n12 = sum(n13,n15),
    inference(cnf_transformation,[],[f2]) ).

fof(f2790,plain,
    ~ spl62_470,
    inference(avatar_split_clause,[],[f265,f2787]) ).

fof(f2787,plain,
    ( spl62_470
  <=> n10 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_470])]) ).

fof(f265,plain,
    n10 != n11,
    inference(cnf_transformation,[],[f2]) ).

fof(f2785,plain,
    ~ spl62_469,
    inference(avatar_split_clause,[],[f220,f2782]) ).

fof(f2782,plain,
    ( spl62_469
  <=> n10 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_469])]) ).

fof(f220,plain,
    n10 != n14,
    inference(cnf_transformation,[],[f2]) ).

fof(f2780,plain,
    spl62_468,
    inference(avatar_split_clause,[],[f310,f2777]) ).

fof(f2777,plain,
    ( spl62_468
  <=> n1 = sum(n8,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_468])]) ).

fof(f310,plain,
    n1 = sum(n8,n9),
    inference(cnf_transformation,[],[f2]) ).

fof(f2775,plain,
    spl62_467,
    inference(avatar_split_clause,[],[f177,f2772]) ).

fof(f2772,plain,
    ( spl62_467
  <=> n15 = sum(n12,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_467])]) ).

fof(f177,plain,
    n15 = sum(n12,n3),
    inference(cnf_transformation,[],[f2]) ).

fof(f2770,plain,
    spl62_466,
    inference(avatar_split_clause,[],[f318,f2767]) ).

fof(f2767,plain,
    ( spl62_466
  <=> n10 = sum(n7,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_466])]) ).

fof(f318,plain,
    n10 = sum(n7,n3),
    inference(cnf_transformation,[],[f2]) ).

fof(f2765,plain,
    spl62_465,
    inference(avatar_split_clause,[],[f249,f2762]) ).

fof(f2762,plain,
    ( spl62_465
  <=> n3 = sum(n10,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_465])]) ).

fof(f249,plain,
    n3 = sum(n10,n9),
    inference(cnf_transformation,[],[f2]) ).

fof(f2760,plain,
    ~ spl62_464,
    inference(avatar_split_clause,[],[f87,f2757]) ).

fof(f2757,plain,
    ( spl62_464
  <=> n2 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_464])]) ).

fof(f87,plain,
    n2 != n12,
    inference(cnf_transformation,[],[f2]) ).

fof(f2755,plain,
    spl62_463,
    inference(avatar_split_clause,[],[f373,f2752]) ).

fof(f2752,plain,
    ( spl62_463
  <=> sK9 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK7)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_463])]) ).

fof(f373,plain,
    sK9 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK7)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2750,plain,
    ~ spl62_462,
    inference(avatar_split_clause,[],[f323,f2747]) ).

fof(f2747,plain,
    ( spl62_462
  <=> n0 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_462])]) ).

fof(f323,plain,
    n0 != n14,
    inference(cnf_transformation,[],[f2]) ).

fof(f2745,plain,
    spl62_461,
    inference(avatar_split_clause,[],[f413,f2742]) ).

fof(f2742,plain,
    ( spl62_461
  <=> n12 = sum(n4,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_461])]) ).

fof(f413,plain,
    n12 = sum(n4,n8),
    inference(cnf_transformation,[],[f2]) ).

fof(f2740,plain,
    spl62_460,
    inference(avatar_split_clause,[],[f27,f2737]) ).

fof(f2737,plain,
    ( spl62_460
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK14)))))))))))))))) = sK13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_460])]) ).

fof(f27,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK14)))))))))))))))) = sK13,
    inference(cnf_transformation,[],[f2]) ).

fof(f2735,plain,
    spl62_459,
    inference(avatar_split_clause,[],[f115,f2732]) ).

fof(f2732,plain,
    ( spl62_459
  <=> n13 = pred(n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_459])]) ).

fof(f115,plain,
    n13 = pred(n14),
    inference(cnf_transformation,[],[f2]) ).

fof(f2730,plain,
    spl62_458,
    inference(avatar_split_clause,[],[f88,f2727]) ).

fof(f2727,plain,
    ( spl62_458
  <=> n10 = sum(n11,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_458])]) ).

fof(f88,plain,
    n10 = sum(n11,n15),
    inference(cnf_transformation,[],[f2]) ).

fof(f2725,plain,
    spl62_457,
    inference(avatar_split_clause,[],[f461,f2722]) ).

fof(f2722,plain,
    ( spl62_457
  <=> n1 = sum(n7,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_457])]) ).

fof(f461,plain,
    n1 = sum(n7,n10),
    inference(cnf_transformation,[],[f2]) ).

fof(f2720,plain,
    spl62_456,
    inference(avatar_split_clause,[],[f82,f2717]) ).

fof(f2717,plain,
    ( spl62_456
  <=> n4 = sum(n6,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_456])]) ).

fof(f82,plain,
    n4 = sum(n6,n14),
    inference(cnf_transformation,[],[f2]) ).

fof(f2715,plain,
    spl62_455,
    inference(avatar_split_clause,[],[f62,f2712]) ).

fof(f2712,plain,
    ( spl62_455
  <=> n10 = sum(n1,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_455])]) ).

fof(f62,plain,
    n10 = sum(n1,n9),
    inference(cnf_transformation,[],[f2]) ).

fof(f2710,plain,
    ~ spl62_454,
    inference(avatar_split_clause,[],[f415,f2707]) ).

fof(f2707,plain,
    ( spl62_454
  <=> n3 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_454])]) ).

fof(f415,plain,
    n3 != n13,
    inference(cnf_transformation,[],[f2]) ).

fof(f2705,plain,
    spl62_453,
    inference(avatar_split_clause,[],[f362,f2702]) ).

fof(f2702,plain,
    ( spl62_453
  <=> n12 = sum(n0,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_453])]) ).

fof(f362,plain,
    n12 = sum(n0,n12),
    inference(cnf_transformation,[],[f2]) ).

fof(f2700,plain,
    spl62_452,
    inference(avatar_split_clause,[],[f138,f2697]) ).

fof(f2697,plain,
    ( spl62_452
  <=> n0 = sum(n12,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_452])]) ).

fof(f138,plain,
    n0 = sum(n12,n4),
    inference(cnf_transformation,[],[f2]) ).

fof(f2695,plain,
    spl62_451,
    inference(avatar_split_clause,[],[f267,f2692]) ).

fof(f2692,plain,
    ( spl62_451
  <=> n15 = sum(n13,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_451])]) ).

fof(f267,plain,
    n15 = sum(n13,n2),
    inference(cnf_transformation,[],[f2]) ).

fof(f2690,plain,
    spl62_450,
    inference(avatar_split_clause,[],[f230,f2687]) ).

fof(f2687,plain,
    ( spl62_450
  <=> n0 = sum(n5,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_450])]) ).

fof(f230,plain,
    n0 = sum(n5,n11),
    inference(cnf_transformation,[],[f2]) ).

fof(f2685,plain,
    spl62_449,
    inference(avatar_split_clause,[],[f70,f2682]) ).

fof(f2682,plain,
    ( spl62_449
  <=> n14 = sum(n4,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_449])]) ).

fof(f70,plain,
    n14 = sum(n4,n10),
    inference(cnf_transformation,[],[f2]) ).

fof(f2680,plain,
    spl62_448,
    inference(avatar_split_clause,[],[f418,f2677]) ).

fof(f2677,plain,
    ( spl62_448
  <=> n14 = sum(n7,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_448])]) ).

fof(f418,plain,
    n14 = sum(n7,n7),
    inference(cnf_transformation,[],[f2]) ).

fof(f2675,plain,
    spl62_447,
    inference(avatar_split_clause,[],[f226,f2672]) ).

fof(f2672,plain,
    ( spl62_447
  <=> n3 = sum(n0,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_447])]) ).

fof(f226,plain,
    n3 = sum(n0,n3),
    inference(cnf_transformation,[],[f2]) ).

fof(f2670,plain,
    spl62_446,
    inference(avatar_split_clause,[],[f100,f2667]) ).

fof(f2667,plain,
    ( spl62_446
  <=> n2 = pred(n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_446])]) ).

fof(f100,plain,
    n2 = pred(n3),
    inference(cnf_transformation,[],[f2]) ).

fof(f2665,plain,
    spl62_445,
    inference(avatar_split_clause,[],[f316,f2662]) ).

fof(f2662,plain,
    ( spl62_445
  <=> n7 = sum(n8,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_445])]) ).

fof(f316,plain,
    n7 = sum(n8,n15),
    inference(cnf_transformation,[],[f2]) ).

fof(f2660,plain,
    spl62_444,
    inference(avatar_split_clause,[],[f419,f2657]) ).

fof(f2657,plain,
    ( spl62_444
  <=> n6 = sum(n15,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_444])]) ).

fof(f419,plain,
    n6 = sum(n15,n7),
    inference(cnf_transformation,[],[f2]) ).

fof(f2655,plain,
    spl62_443,
    inference(avatar_split_clause,[],[f409,f2652]) ).

fof(f2652,plain,
    ( spl62_443
  <=> n5 = sum(n7,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_443])]) ).

fof(f409,plain,
    n5 = sum(n7,n14),
    inference(cnf_transformation,[],[f2]) ).

fof(f2650,plain,
    spl62_442,
    inference(avatar_split_clause,[],[f471,f2647]) ).

fof(f2647,plain,
    ( spl62_442
  <=> succ(n9) = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_442])]) ).

fof(f471,plain,
    succ(n9) = n10,
    inference(cnf_transformation,[],[f2]) ).

fof(f2645,plain,
    ~ spl62_441,
    inference(avatar_split_clause,[],[f188,f2642]) ).

fof(f2642,plain,
    ( spl62_441
  <=> n7 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_441])]) ).

fof(f188,plain,
    n7 != n12,
    inference(cnf_transformation,[],[f2]) ).

fof(f2640,plain,
    spl62_440,
    inference(avatar_split_clause,[],[f84,f2637]) ).

fof(f2637,plain,
    ( spl62_440
  <=> n1 = sum(n13,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_440])]) ).

fof(f84,plain,
    n1 = sum(n13,n4),
    inference(cnf_transformation,[],[f2]) ).

fof(f2635,plain,
    spl62_439,
    inference(avatar_split_clause,[],[f34,f2632]) ).

fof(f2632,plain,
    ( spl62_439
  <=> pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK56)))))))))))))))) = sK23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_439])]) ).

fof(f34,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK56)))))))))))))))) = sK23,
    inference(cnf_transformation,[],[f2]) ).

fof(f2630,plain,
    spl62_438,
    inference(avatar_split_clause,[],[f73,f2627]) ).

fof(f2627,plain,
    ( spl62_438
  <=> n12 = sum(n5,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_438])]) ).

fof(f73,plain,
    n12 = sum(n5,n7),
    inference(cnf_transformation,[],[f2]) ).

fof(f2625,plain,
    ~ spl62_437,
    inference(avatar_split_clause,[],[f258,f2622]) ).

fof(f2622,plain,
    ( spl62_437
  <=> n7 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_437])]) ).

fof(f258,plain,
    n7 != n15,
    inference(cnf_transformation,[],[f2]) ).

fof(f2620,plain,
    spl62_436,
    inference(avatar_split_clause,[],[f378,f2617]) ).

fof(f2617,plain,
    ( spl62_436
  <=> n4 = sum(n1,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_436])]) ).

fof(f378,plain,
    n4 = sum(n1,n3),
    inference(cnf_transformation,[],[f2]) ).

fof(f2615,plain,
    spl62_435,
    inference(avatar_split_clause,[],[f309,f2612]) ).

fof(f2612,plain,
    ( spl62_435
  <=> succ(n6) = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_435])]) ).

fof(f309,plain,
    succ(n6) = n7,
    inference(cnf_transformation,[],[f2]) ).

fof(f2610,plain,
    ~ spl62_434,
    inference(avatar_split_clause,[],[f50,f2607]) ).

fof(f2607,plain,
    ( spl62_434
  <=> n5 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_434])]) ).

fof(f50,plain,
    n5 != n13,
    inference(cnf_transformation,[],[f2]) ).

fof(f2605,plain,
    spl62_433,
    inference(avatar_split_clause,[],[f277,f2602]) ).

fof(f2602,plain,
    ( spl62_433
  <=> n7 = sum(n15,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_433])]) ).

fof(f277,plain,
    n7 = sum(n15,n8),
    inference(cnf_transformation,[],[f2]) ).

fof(f2600,plain,
    spl62_432,
    inference(avatar_split_clause,[],[f381,f2597]) ).

fof(f2597,plain,
    ( spl62_432
  <=> n5 = sum(n1,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_432])]) ).

fof(f381,plain,
    n5 = sum(n1,n4),
    inference(cnf_transformation,[],[f2]) ).

fof(f2595,plain,
    spl62_431,
    inference(avatar_split_clause,[],[f405,f2592]) ).

fof(f2592,plain,
    ( spl62_431
  <=> n4 = sum(n9,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_431])]) ).

fof(f405,plain,
    n4 = sum(n9,n11),
    inference(cnf_transformation,[],[f2]) ).

fof(f2590,plain,
    spl62_430,
    inference(avatar_split_clause,[],[f10,f2587]) ).

fof(f2587,plain,
    ( spl62_430
  <=> pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK46)))))))))))))))) = sK34 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_430])]) ).

fof(f10,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK46)))))))))))))))) = sK34,
    inference(cnf_transformation,[],[f2]) ).

fof(f2585,plain,
    spl62_429,
    inference(avatar_split_clause,[],[f129,f2582]) ).

fof(f2582,plain,
    ( spl62_429
  <=> n0 = sum(n9,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_429])]) ).

fof(f129,plain,
    n0 = sum(n9,n7),
    inference(cnf_transformation,[],[f2]) ).

fof(f2580,plain,
    spl62_428,
    inference(avatar_split_clause,[],[f455,f2577]) ).

fof(f2577,plain,
    ( spl62_428
  <=> n7 = sum(n4,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_428])]) ).

fof(f455,plain,
    n7 = sum(n4,n3),
    inference(cnf_transformation,[],[f2]) ).

fof(f2575,plain,
    spl62_427,
    inference(avatar_split_clause,[],[f166,f2572]) ).

fof(f2572,plain,
    ( spl62_427
  <=> n11 = sum(n8,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_427])]) ).

fof(f166,plain,
    n11 = sum(n8,n3),
    inference(cnf_transformation,[],[f2]) ).

fof(f2570,plain,
    ~ spl62_426,
    inference(avatar_split_clause,[],[f433,f2567]) ).

fof(f2567,plain,
    ( spl62_426
  <=> n1 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_426])]) ).

fof(f433,plain,
    n1 != n8,
    inference(cnf_transformation,[],[f2]) ).

fof(f2565,plain,
    spl62_425,
    inference(avatar_split_clause,[],[f437,f2562]) ).

fof(f2562,plain,
    ( spl62_425
  <=> n8 = sum(n13,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_425])]) ).

fof(f437,plain,
    n8 = sum(n13,n11),
    inference(cnf_transformation,[],[f2]) ).

fof(f2560,plain,
    ~ spl62_424,
    inference(avatar_split_clause,[],[f217,f2557]) ).

fof(f2557,plain,
    ( spl62_424
  <=> n5 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_424])]) ).

fof(f217,plain,
    n5 != n14,
    inference(cnf_transformation,[],[f2]) ).

fof(f2555,plain,
    spl62_423,
    inference(avatar_split_clause,[],[f124,f2552]) ).

fof(f2552,plain,
    ( spl62_423
  <=> n7 = sum(n14,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_423])]) ).

fof(f124,plain,
    n7 = sum(n14,n9),
    inference(cnf_transformation,[],[f2]) ).

fof(f2550,plain,
    spl62_422,
    inference(avatar_split_clause,[],[f263,f2547]) ).

fof(f2547,plain,
    ( spl62_422
  <=> n2 = sum(n10,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_422])]) ).

fof(f263,plain,
    n2 = sum(n10,n8),
    inference(cnf_transformation,[],[f2]) ).

fof(f2545,plain,
    spl62_421,
    inference(avatar_split_clause,[],[f113,f2542]) ).

fof(f2542,plain,
    ( spl62_421
  <=> n10 = sum(n13,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_421])]) ).

fof(f113,plain,
    n10 = sum(n13,n13),
    inference(cnf_transformation,[],[f2]) ).

fof(f2540,plain,
    spl62_420,
    inference(avatar_split_clause,[],[f464,f2537]) ).

fof(f2537,plain,
    ( spl62_420
  <=> succ(n4) = n5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_420])]) ).

fof(f464,plain,
    succ(n4) = n5,
    inference(cnf_transformation,[],[f2]) ).

fof(f2535,plain,
    spl62_419,
    inference(avatar_split_clause,[],[f283,f2532]) ).

fof(f2532,plain,
    ( spl62_419
  <=> n3 = sum(n4,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_419])]) ).

fof(f283,plain,
    n3 = sum(n4,n15),
    inference(cnf_transformation,[],[f2]) ).

fof(f2530,plain,
    spl62_418,
    inference(avatar_split_clause,[],[f345,f2527]) ).

fof(f2527,plain,
    ( spl62_418
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK46)))))))))))))))) = sK59 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_418])]) ).

fof(f345,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK46)))))))))))))))) = sK59,
    inference(cnf_transformation,[],[f2]) ).

fof(f2525,plain,
    spl62_417,
    inference(avatar_split_clause,[],[f396,f2522]) ).

fof(f2522,plain,
    ( spl62_417
  <=> n14 = sum(n10,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_417])]) ).

fof(f396,plain,
    n14 = sum(n10,n4),
    inference(cnf_transformation,[],[f2]) ).

fof(f2520,plain,
    ~ spl62_416,
    inference(avatar_split_clause,[],[f460,f2517]) ).

fof(f2517,plain,
    ( spl62_416
  <=> n6 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_416])]) ).

fof(f460,plain,
    n6 != n12,
    inference(cnf_transformation,[],[f2]) ).

fof(f2515,plain,
    ~ spl62_415,
    inference(avatar_split_clause,[],[f121,f2512]) ).

fof(f2512,plain,
    ( spl62_415
  <=> n0 = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_415])]) ).

fof(f121,plain,
    n0 != n7,
    inference(cnf_transformation,[],[f2]) ).

fof(f2510,plain,
    spl62_414,
    inference(avatar_split_clause,[],[f349,f2507]) ).

fof(f2507,plain,
    ( spl62_414
  <=> n13 = sum(n8,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_414])]) ).

fof(f349,plain,
    n13 = sum(n8,n5),
    inference(cnf_transformation,[],[f2]) ).

fof(f2505,plain,
    ~ spl62_413,
    inference(avatar_split_clause,[],[f211,f2502]) ).

fof(f2502,plain,
    ( spl62_413
  <=> n3 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_413])]) ).

fof(f211,plain,
    n3 != n9,
    inference(cnf_transformation,[],[f2]) ).

fof(f2500,plain,
    spl62_412,
    inference(avatar_split_clause,[],[f208,f2497]) ).

fof(f2497,plain,
    ( spl62_412
  <=> n8 = sum(n5,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_412])]) ).

fof(f208,plain,
    n8 = sum(n5,n3),
    inference(cnf_transformation,[],[f2]) ).

fof(f2495,plain,
    ~ spl62_411,
    inference(avatar_split_clause,[],[f168,f2492]) ).

fof(f2492,plain,
    ( spl62_411
  <=> n8 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_411])]) ).

fof(f168,plain,
    n8 != n9,
    inference(cnf_transformation,[],[f2]) ).

fof(f2490,plain,
    spl62_410,
    inference(avatar_split_clause,[],[f236,f2487]) ).

fof(f2487,plain,
    ( spl62_410
  <=> pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK3)))))))))))))))) = sK19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_410])]) ).

fof(f236,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK3)))))))))))))))) = sK19,
    inference(cnf_transformation,[],[f2]) ).

fof(f2485,plain,
    spl62_409,
    inference(avatar_split_clause,[],[f448,f2482]) ).

fof(f2482,plain,
    ( spl62_409
  <=> n4 = sum(n7,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_409])]) ).

fof(f448,plain,
    n4 = sum(n7,n13),
    inference(cnf_transformation,[],[f2]) ).

fof(f2480,plain,
    spl62_408,
    inference(avatar_split_clause,[],[f35,f2477]) ).

fof(f2477,plain,
    ( spl62_408
  <=> n1 = sum(n6,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_408])]) ).

fof(f35,plain,
    n1 = sum(n6,n11),
    inference(cnf_transformation,[],[f2]) ).

fof(f2475,plain,
    spl62_407,
    inference(avatar_split_clause,[],[f284,f2472]) ).

fof(f2472,plain,
    ( spl62_407
  <=> n9 = sum(n6,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_407])]) ).

fof(f284,plain,
    n9 = sum(n6,n3),
    inference(cnf_transformation,[],[f2]) ).

fof(f2470,plain,
    spl62_406,
    inference(avatar_split_clause,[],[f451,f2467]) ).

fof(f2467,plain,
    ( spl62_406
  <=> n14 = sum(n12,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_406])]) ).

fof(f451,plain,
    n14 = sum(n12,n2),
    inference(cnf_transformation,[],[f2]) ).

fof(f2465,plain,
    ~ spl62_405,
    inference(avatar_split_clause,[],[f215,f2462]) ).

fof(f2462,plain,
    ( spl62_405
  <=> n4 = n6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_405])]) ).

fof(f215,plain,
    n4 != n6,
    inference(cnf_transformation,[],[f2]) ).

fof(f2460,plain,
    spl62_404,
    inference(avatar_split_clause,[],[f150,f2457]) ).

fof(f2457,plain,
    ( spl62_404
  <=> n5 = sum(n15,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_404])]) ).

fof(f150,plain,
    n5 = sum(n15,n6),
    inference(cnf_transformation,[],[f2]) ).

fof(f2455,plain,
    ~ spl62_403,
    inference(avatar_split_clause,[],[f197,f2452]) ).

fof(f2452,plain,
    ( spl62_403
  <=> n1 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_403])]) ).

fof(f197,plain,
    n1 != n13,
    inference(cnf_transformation,[],[f2]) ).

fof(f2450,plain,
    spl62_402,
    inference(avatar_split_clause,[],[f276,f2447]) ).

fof(f2447,plain,
    ( spl62_402
  <=> sK28 = sum(pred(sK50),sum(succ(sK10),sum(pred(sK37),succ(sK23)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_402])]) ).

fof(f276,plain,
    sK28 = sum(pred(sK50),sum(succ(sK10),sum(pred(sK37),succ(sK23)))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2445,plain,
    spl62_401,
    inference(avatar_split_clause,[],[f248,f2442]) ).

fof(f2442,plain,
    ( spl62_401
  <=> n3 = sum(n8,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_401])]) ).

fof(f248,plain,
    n3 = sum(n8,n11),
    inference(cnf_transformation,[],[f2]) ).

fof(f2440,plain,
    spl62_400,
    inference(avatar_split_clause,[],[f360,f2437]) ).

fof(f2437,plain,
    ( spl62_400
  <=> n0 = sum(n4,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_400])]) ).

fof(f360,plain,
    n0 = sum(n4,n12),
    inference(cnf_transformation,[],[f2]) ).

fof(f2435,plain,
    ~ spl62_399,
    inference(avatar_split_clause,[],[f184,f2432]) ).

fof(f2432,plain,
    ( spl62_399
  <=> n2 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_399])]) ).

fof(f184,plain,
    n2 != n9,
    inference(cnf_transformation,[],[f2]) ).

fof(f2430,plain,
    spl62_398,
    inference(avatar_split_clause,[],[f311,f2427]) ).

fof(f2427,plain,
    ( spl62_398
  <=> n15 = sum(n3,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_398])]) ).

fof(f311,plain,
    n15 = sum(n3,n12),
    inference(cnf_transformation,[],[f2]) ).

fof(f2425,plain,
    spl62_397,
    inference(avatar_split_clause,[],[f15,f2422]) ).

fof(f2422,plain,
    ( spl62_397
  <=> n7 = sum(n7,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_397])]) ).

fof(f15,plain,
    n7 = sum(n7,n0),
    inference(cnf_transformation,[],[f2]) ).

fof(f2420,plain,
    spl62_396,
    inference(avatar_split_clause,[],[f127,f2417]) ).

fof(f2417,plain,
    ( spl62_396
  <=> sK50 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK40)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_396])]) ).

fof(f127,plain,
    sK50 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK40)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2415,plain,
    spl62_395,
    inference(avatar_split_clause,[],[f384,f2412]) ).

fof(f2412,plain,
    ( spl62_395
  <=> n3 = sum(n1,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_395])]) ).

fof(f384,plain,
    n3 = sum(n1,n2),
    inference(cnf_transformation,[],[f2]) ).

fof(f2410,plain,
    spl62_394,
    inference(avatar_split_clause,[],[f466,f2407]) ).

fof(f2407,plain,
    ( spl62_394
  <=> sK56 = sum(pred(sK48),sum(succ(sK35),sum(pred(sK41),succ(sK5)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_394])]) ).

fof(f466,plain,
    sK56 = sum(pred(sK48),sum(succ(sK35),sum(pred(sK41),succ(sK5)))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2405,plain,
    spl62_393,
    inference(avatar_split_clause,[],[f332,f2402]) ).

fof(f2402,plain,
    ( spl62_393
  <=> n10 = sum(n5,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_393])]) ).

fof(f332,plain,
    n10 = sum(n5,n5),
    inference(cnf_transformation,[],[f2]) ).

fof(f2400,plain,
    spl62_392,
    inference(avatar_split_clause,[],[f402,f2397]) ).

fof(f2397,plain,
    ( spl62_392
  <=> n12 = sum(n1,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_392])]) ).

fof(f402,plain,
    n12 = sum(n1,n11),
    inference(cnf_transformation,[],[f2]) ).

fof(f2395,plain,
    spl62_391,
    inference(avatar_split_clause,[],[f358,f2392]) ).

fof(f2392,plain,
    ( spl62_391
  <=> n0 = sum(n15,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_391])]) ).

fof(f358,plain,
    n0 = sum(n15,n1),
    inference(cnf_transformation,[],[f2]) ).

fof(f2390,plain,
    spl62_390,
    inference(avatar_split_clause,[],[f439,f2387]) ).

fof(f2387,plain,
    ( spl62_390
  <=> n3 = sum(n9,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_390])]) ).

fof(f439,plain,
    n3 = sum(n9,n10),
    inference(cnf_transformation,[],[f2]) ).

fof(f2385,plain,
    ~ spl62_389,
    inference(avatar_split_clause,[],[f67,f2382]) ).

fof(f2382,plain,
    ( spl62_389
  <=> n0 = n6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_389])]) ).

fof(f67,plain,
    n0 != n6,
    inference(cnf_transformation,[],[f2]) ).

fof(f2380,plain,
    spl62_388,
    inference(avatar_split_clause,[],[f463,f2377]) ).

fof(f2377,plain,
    ( spl62_388
  <=> n14 = sum(n14,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_388])]) ).

fof(f463,plain,
    n14 = sum(n14,n0),
    inference(cnf_transformation,[],[f2]) ).

fof(f2375,plain,
    spl62_387,
    inference(avatar_split_clause,[],[f76,f2372]) ).

fof(f2372,plain,
    ( spl62_387
  <=> succ(n13) = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_387])]) ).

fof(f76,plain,
    succ(n13) = n14,
    inference(cnf_transformation,[],[f2]) ).

fof(f2370,plain,
    ~ spl62_386,
    inference(avatar_split_clause,[],[f354,f2367]) ).

fof(f2367,plain,
    ( spl62_386
  <=> n1 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_386])]) ).

fof(f354,plain,
    n1 != n10,
    inference(cnf_transformation,[],[f2]) ).

fof(f2365,plain,
    spl62_385,
    inference(avatar_split_clause,[],[f224,f2362]) ).

fof(f2362,plain,
    ( spl62_385
  <=> n2 = sum(n3,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_385])]) ).

fof(f224,plain,
    n2 = sum(n3,n15),
    inference(cnf_transformation,[],[f2]) ).

fof(f2360,plain,
    spl62_384,
    inference(avatar_split_clause,[],[f72,f2357]) ).

fof(f2357,plain,
    ( spl62_384
  <=> sum(sum(pred(sK14),succ(sK51)),sum(pred(sK51),succ(sK14))) = sK7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_384])]) ).

fof(f72,plain,
    sum(sum(pred(sK14),succ(sK51)),sum(pred(sK51),succ(sK14))) = sK7,
    inference(cnf_transformation,[],[f2]) ).

fof(f2355,plain,
    spl62_383,
    inference(avatar_split_clause,[],[f26,f2352]) ).

fof(f2352,plain,
    ( spl62_383
  <=> n8 = sum(n14,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_383])]) ).

fof(f26,plain,
    n8 = sum(n14,n10),
    inference(cnf_transformation,[],[f2]) ).

fof(f2350,plain,
    spl62_382,
    inference(avatar_split_clause,[],[f193,f2347]) ).

fof(f2347,plain,
    ( spl62_382
  <=> n5 = sum(n8,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_382])]) ).

fof(f193,plain,
    n5 = sum(n8,n13),
    inference(cnf_transformation,[],[f2]) ).

fof(f2345,plain,
    spl62_381,
    inference(avatar_split_clause,[],[f297,f2342]) ).

fof(f2342,plain,
    ( spl62_381
  <=> n4 = sum(n2,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_381])]) ).

fof(f297,plain,
    n4 = sum(n2,n2),
    inference(cnf_transformation,[],[f2]) ).

fof(f2340,plain,
    ~ spl62_380,
    inference(avatar_split_clause,[],[f247,f2337]) ).

fof(f2337,plain,
    ( spl62_380
  <=> n2 = n4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_380])]) ).

fof(f247,plain,
    n2 != n4,
    inference(cnf_transformation,[],[f2]) ).

fof(f2335,plain,
    spl62_379,
    inference(avatar_split_clause,[],[f393,f2332]) ).

fof(f2332,plain,
    ( spl62_379
  <=> n1 = sum(n2,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_379])]) ).

fof(f393,plain,
    n1 = sum(n2,n15),
    inference(cnf_transformation,[],[f2]) ).

fof(f2330,plain,
    spl62_378,
    inference(avatar_split_clause,[],[f102,f2327]) ).

fof(f2327,plain,
    ( spl62_378
  <=> n6 = sum(n10,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_378])]) ).

fof(f102,plain,
    n6 = sum(n10,n12),
    inference(cnf_transformation,[],[f2]) ).

fof(f2325,plain,
    spl62_377,
    inference(avatar_split_clause,[],[f388,f2322]) ).

fof(f2322,plain,
    ( spl62_377
  <=> n14 = sum(n13,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_377])]) ).

fof(f388,plain,
    n14 = sum(n13,n1),
    inference(cnf_transformation,[],[f2]) ).

fof(f2320,plain,
    spl62_376,
    inference(avatar_split_clause,[],[f64,f2317]) ).

fof(f2317,plain,
    ( spl62_376
  <=> sK41 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK42)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_376])]) ).

fof(f64,plain,
    sK41 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK42)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2315,plain,
    spl62_375,
    inference(avatar_split_clause,[],[f164,f2312]) ).

fof(f2312,plain,
    ( spl62_375
  <=> n3 = sum(n15,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_375])]) ).

fof(f164,plain,
    n3 = sum(n15,n4),
    inference(cnf_transformation,[],[f2]) ).

fof(f2310,plain,
    spl62_374,
    inference(avatar_split_clause,[],[f376,f2307]) ).

fof(f2307,plain,
    ( spl62_374
  <=> sum(sum(pred(sK6),succ(sK60)),sum(pred(sK60),succ(sK6))) = sK14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_374])]) ).

fof(f376,plain,
    sum(sum(pred(sK6),succ(sK60)),sum(pred(sK60),succ(sK6))) = sK14,
    inference(cnf_transformation,[],[f2]) ).

fof(f2305,plain,
    ~ spl62_373,
    inference(avatar_split_clause,[],[f467,f2302]) ).

fof(f2302,plain,
    ( spl62_373
  <=> n9 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_373])]) ).

fof(f467,plain,
    n9 != n13,
    inference(cnf_transformation,[],[f2]) ).

fof(f2300,plain,
    spl62_372,
    inference(avatar_split_clause,[],[f387,f2297]) ).

fof(f2297,plain,
    ( spl62_372
  <=> n12 = sum(n14,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_372])]) ).

fof(f387,plain,
    n12 = sum(n14,n14),
    inference(cnf_transformation,[],[f2]) ).

fof(f2295,plain,
    spl62_371,
    inference(avatar_split_clause,[],[f398,f2292]) ).

fof(f2292,plain,
    ( spl62_371
  <=> n9 = sum(n9,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_371])]) ).

fof(f398,plain,
    n9 = sum(n9,n0),
    inference(cnf_transformation,[],[f2]) ).

fof(f2290,plain,
    spl62_370,
    inference(avatar_split_clause,[],[f134,f2287]) ).

fof(f2287,plain,
    ( spl62_370
  <=> sK49 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK45)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_370])]) ).

fof(f134,plain,
    sK49 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK45)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2285,plain,
    spl62_369,
    inference(avatar_split_clause,[],[f307,f2282]) ).

fof(f2282,plain,
    ( spl62_369
  <=> n2 = sum(n15,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_369])]) ).

fof(f307,plain,
    n2 = sum(n15,n3),
    inference(cnf_transformation,[],[f2]) ).

fof(f2280,plain,
    spl62_368,
    inference(avatar_split_clause,[],[f219,f2277]) ).

fof(f2277,plain,
    ( spl62_368
  <=> n6 = sum(n6,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_368])]) ).

fof(f219,plain,
    n6 = sum(n6,n0),
    inference(cnf_transformation,[],[f2]) ).

fof(f2275,plain,
    spl62_367,
    inference(avatar_split_clause,[],[f351,f2272]) ).

fof(f2272,plain,
    ( spl62_367
  <=> n13 = sum(n7,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_367])]) ).

fof(f351,plain,
    n13 = sum(n7,n6),
    inference(cnf_transformation,[],[f2]) ).

fof(f2270,plain,
    spl62_366,
    inference(avatar_split_clause,[],[f327,f2267]) ).

fof(f2267,plain,
    ( spl62_366
  <=> n6 = sum(n9,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_366])]) ).

fof(f327,plain,
    n6 = sum(n9,n13),
    inference(cnf_transformation,[],[f2]) ).

fof(f2265,plain,
    spl62_365,
    inference(avatar_split_clause,[],[f119,f2262]) ).

fof(f2262,plain,
    ( spl62_365
  <=> succ(n14) = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_365])]) ).

fof(f119,plain,
    succ(n14) = n15,
    inference(cnf_transformation,[],[f2]) ).

fof(f2260,plain,
    spl62_364,
    inference(avatar_split_clause,[],[f453,f2257]) ).

fof(f2257,plain,
    ( spl62_364
  <=> n3 = sum(n13,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_364])]) ).

fof(f453,plain,
    n3 = sum(n13,n6),
    inference(cnf_transformation,[],[f2]) ).

fof(f2255,plain,
    spl62_363,
    inference(avatar_split_clause,[],[f39,f2252]) ).

fof(f2252,plain,
    ( spl62_363
  <=> n2 = sum(n13,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_363])]) ).

fof(f39,plain,
    n2 = sum(n13,n5),
    inference(cnf_transformation,[],[f2]) ).

fof(f2250,plain,
    spl62_362,
    inference(avatar_split_clause,[],[f350,f2247]) ).

fof(f2247,plain,
    ( spl62_362
  <=> n8 = sum(n12,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_362])]) ).

fof(f350,plain,
    n8 = sum(n12,n12),
    inference(cnf_transformation,[],[f2]) ).

fof(f2245,plain,
    spl62_361,
    inference(avatar_split_clause,[],[f341,f2242]) ).

fof(f2242,plain,
    ( spl62_361
  <=> n11 = sum(n10,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_361])]) ).

fof(f341,plain,
    n11 = sum(n10,n1),
    inference(cnf_transformation,[],[f2]) ).

fof(f2240,plain,
    ~ spl62_360,
    inference(avatar_split_clause,[],[f9,f2237]) ).

fof(f2237,plain,
    ( spl62_360
  <=> n3 = n5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_360])]) ).

fof(f9,plain,
    n3 != n5,
    inference(cnf_transformation,[],[f2]) ).

fof(f2235,plain,
    spl62_359,
    inference(avatar_split_clause,[],[f169,f2232]) ).

fof(f2232,plain,
    ( spl62_359
  <=> n6 = sum(n4,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_359])]) ).

fof(f169,plain,
    n6 = sum(n4,n2),
    inference(cnf_transformation,[],[f2]) ).

fof(f2230,plain,
    spl62_358,
    inference(avatar_split_clause,[],[f303,f2227]) ).

fof(f2227,plain,
    ( spl62_358
  <=> n11 = sum(n6,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_358])]) ).

fof(f303,plain,
    n11 = sum(n6,n5),
    inference(cnf_transformation,[],[f2]) ).

fof(f2225,plain,
    spl62_357,
    inference(avatar_split_clause,[],[f17,f2222]) ).

fof(f2222,plain,
    ( spl62_357
  <=> sK55 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK1)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_357])]) ).

fof(f17,plain,
    sK55 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK1)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2220,plain,
    spl62_356,
    inference(avatar_split_clause,[],[f392,f2217]) ).

fof(f2217,plain,
    ( spl62_356
  <=> sK20 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK60)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_356])]) ).

fof(f392,plain,
    sK20 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK60)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2215,plain,
    ~ spl62_355,
    inference(avatar_split_clause,[],[f68,f2212]) ).

fof(f2212,plain,
    ( spl62_355
  <=> n6 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_355])]) ).

fof(f68,plain,
    n6 != n9,
    inference(cnf_transformation,[],[f2]) ).

fof(f2210,plain,
    spl62_354,
    inference(avatar_split_clause,[],[f472,f2207]) ).

fof(f2207,plain,
    ( spl62_354
  <=> n1 = sum(n0,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_354])]) ).

fof(f472,plain,
    n1 = sum(n0,n1),
    inference(cnf_transformation,[],[f2]) ).

fof(f2205,plain,
    ~ spl62_353,
    inference(avatar_split_clause,[],[f135,f2202]) ).

fof(f2202,plain,
    ( spl62_353
  <=> n0 = n2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_353])]) ).

fof(f135,plain,
    n0 != n2,
    inference(cnf_transformation,[],[f2]) ).

fof(f2200,plain,
    ~ spl62_352,
    inference(avatar_split_clause,[],[f281,f2197]) ).

fof(f2197,plain,
    ( spl62_352
  <=> n9 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_352])]) ).

fof(f281,plain,
    n9 != n10,
    inference(cnf_transformation,[],[f2]) ).

fof(f2195,plain,
    spl62_351,
    inference(avatar_split_clause,[],[f410,f2192]) ).

fof(f2192,plain,
    ( spl62_351
  <=> sK17 = sum(pred(sK59),sum(succ(sK34),sum(pred(sK21),succ(sK27)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_351])]) ).

fof(f410,plain,
    sK17 = sum(pred(sK59),sum(succ(sK34),sum(pred(sK21),succ(sK27)))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2190,plain,
    spl62_350,
    inference(avatar_split_clause,[],[f31,f2187]) ).

fof(f2187,plain,
    ( spl62_350
  <=> n12 = sum(n3,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_350])]) ).

fof(f31,plain,
    n12 = sum(n3,n9),
    inference(cnf_transformation,[],[f2]) ).

fof(f2185,plain,
    spl62_349,
    inference(avatar_split_clause,[],[f261,f2182]) ).

fof(f2182,plain,
    ( spl62_349
  <=> n9 = pred(n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_349])]) ).

fof(f261,plain,
    n9 = pred(n10),
    inference(cnf_transformation,[],[f2]) ).

fof(f2180,plain,
    ~ spl62_348,
    inference(avatar_split_clause,[],[f175,f2177]) ).

fof(f2177,plain,
    ( spl62_348
  <=> n0 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_348])]) ).

fof(f175,plain,
    n0 != n8,
    inference(cnf_transformation,[],[f2]) ).

fof(f2175,plain,
    spl62_347,
    inference(avatar_split_clause,[],[f408,f2172]) ).

fof(f2172,plain,
    ( spl62_347
  <=> n12 = sum(n7,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_347])]) ).

fof(f408,plain,
    n12 = sum(n7,n5),
    inference(cnf_transformation,[],[f2]) ).

fof(f2170,plain,
    spl62_346,
    inference(avatar_split_clause,[],[f56,f2167]) ).

fof(f2167,plain,
    ( spl62_346
  <=> n14 = sum(n2,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_346])]) ).

fof(f56,plain,
    n14 = sum(n2,n12),
    inference(cnf_transformation,[],[f2]) ).

fof(f2165,plain,
    spl62_345,
    inference(avatar_split_clause,[],[f181,f2162]) ).

fof(f2162,plain,
    ( spl62_345
  <=> n11 = sum(n13,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_345])]) ).

fof(f181,plain,
    n11 = sum(n13,n14),
    inference(cnf_transformation,[],[f2]) ).

fof(f2160,plain,
    spl62_344,
    inference(avatar_split_clause,[],[f44,f2157]) ).

fof(f2157,plain,
    ( spl62_344
  <=> n1 = sum(n14,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_344])]) ).

fof(f44,plain,
    n1 = sum(n14,n3),
    inference(cnf_transformation,[],[f2]) ).

fof(f2155,plain,
    spl62_343,
    inference(avatar_split_clause,[],[f334,f2152]) ).

fof(f2152,plain,
    ( spl62_343
  <=> sK54 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK36)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_343])]) ).

fof(f334,plain,
    sK54 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK36)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2150,plain,
    ~ spl62_342,
    inference(avatar_split_clause,[],[f434,f2147]) ).

fof(f2147,plain,
    ( spl62_342
  <=> n6 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_342])]) ).

fof(f434,plain,
    n6 != n15,
    inference(cnf_transformation,[],[f2]) ).

fof(f2145,plain,
    ~ spl62_341,
    inference(avatar_split_clause,[],[f435,f2142]) ).

fof(f2142,plain,
    ( spl62_341
  <=> n0 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_341])]) ).

fof(f435,plain,
    n0 != n9,
    inference(cnf_transformation,[],[f2]) ).

fof(f2140,plain,
    spl62_340,
    inference(avatar_split_clause,[],[f465,f2137]) ).

fof(f2137,plain,
    ( spl62_340
  <=> sum(pred(sK0),sum(succ(sK19),sum(pred(sK54),succ(sK44)))) = sK45 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_340])]) ).

fof(f465,plain,
    sum(pred(sK0),sum(succ(sK19),sum(pred(sK54),succ(sK44)))) = sK45,
    inference(cnf_transformation,[],[f2]) ).

fof(f2135,plain,
    spl62_339,
    inference(avatar_split_clause,[],[f326,f2132]) ).

fof(f2132,plain,
    ( spl62_339
  <=> n9 = sum(n0,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_339])]) ).

fof(f326,plain,
    n9 = sum(n0,n9),
    inference(cnf_transformation,[],[f2]) ).

fof(f2130,plain,
    spl62_338,
    inference(avatar_split_clause,[],[f149,f2127]) ).

fof(f2127,plain,
    ( spl62_338
  <=> n11 = sum(n3,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_338])]) ).

fof(f149,plain,
    n11 = sum(n3,n8),
    inference(cnf_transformation,[],[f2]) ).

fof(f2125,plain,
    ~ spl62_337,
    inference(avatar_split_clause,[],[f383,f2122]) ).

fof(f2122,plain,
    ( spl62_337
  <=> n10 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_337])]) ).

fof(f383,plain,
    n10 != n15,
    inference(cnf_transformation,[],[f2]) ).

fof(f2120,plain,
    spl62_336,
    inference(avatar_split_clause,[],[f162,f2117]) ).

fof(f2117,plain,
    ( spl62_336
  <=> n5 = pred(n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_336])]) ).

fof(f162,plain,
    n5 = pred(n6),
    inference(cnf_transformation,[],[f2]) ).

fof(f2115,plain,
    spl62_335,
    inference(avatar_split_clause,[],[f204,f2112]) ).

fof(f2112,plain,
    ( spl62_335
  <=> n15 = sum(n5,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_335])]) ).

fof(f204,plain,
    n15 = sum(n5,n10),
    inference(cnf_transformation,[],[f2]) ).

fof(f2110,plain,
    spl62_334,
    inference(avatar_split_clause,[],[f77,f2107]) ).

fof(f2107,plain,
    ( spl62_334
  <=> n7 = sum(n13,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_334])]) ).

fof(f77,plain,
    n7 = sum(n13,n10),
    inference(cnf_transformation,[],[f2]) ).

fof(f2105,plain,
    spl62_333,
    inference(avatar_split_clause,[],[f172,f2102]) ).

fof(f2102,plain,
    ( spl62_333
  <=> n9 = sum(n5,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_333])]) ).

fof(f172,plain,
    n9 = sum(n5,n4),
    inference(cnf_transformation,[],[f2]) ).

fof(f2100,plain,
    spl62_332,
    inference(avatar_split_clause,[],[f445,f2097]) ).

fof(f2097,plain,
    ( spl62_332
  <=> n12 = sum(n12,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_332])]) ).

fof(f445,plain,
    n12 = sum(n12,n0),
    inference(cnf_transformation,[],[f2]) ).

fof(f2095,plain,
    spl62_331,
    inference(avatar_split_clause,[],[f268,f2092]) ).

fof(f2092,plain,
    ( spl62_331
  <=> succ(n11) = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_331])]) ).

fof(f268,plain,
    succ(n11) = n12,
    inference(cnf_transformation,[],[f2]) ).

fof(f2090,plain,
    ~ spl62_330,
    inference(avatar_split_clause,[],[f85,f2087]) ).

fof(f2087,plain,
    ( spl62_330
  <=> n3 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_330])]) ).

fof(f85,plain,
    n3 != n14,
    inference(cnf_transformation,[],[f2]) ).

fof(f2085,plain,
    spl62_329,
    inference(avatar_split_clause,[],[f282,f2082]) ).

fof(f2082,plain,
    ( spl62_329
  <=> n6 = sum(n7,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_329])]) ).

fof(f282,plain,
    n6 = sum(n7,n15),
    inference(cnf_transformation,[],[f2]) ).

fof(f2080,plain,
    spl62_328,
    inference(avatar_split_clause,[],[f271,f2077]) ).

fof(f2077,plain,
    ( spl62_328
  <=> n0 = sum(n0,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_328])]) ).

fof(f271,plain,
    n0 = sum(n0,n0),
    inference(cnf_transformation,[],[f2]) ).

fof(f2075,plain,
    spl62_327,
    inference(avatar_split_clause,[],[f361,f2072]) ).

fof(f2072,plain,
    ( spl62_327
  <=> n3 = sum(n14,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_327])]) ).

fof(f361,plain,
    n3 = sum(n14,n5),
    inference(cnf_transformation,[],[f2]) ).

fof(f2070,plain,
    ~ spl62_326,
    inference(avatar_split_clause,[],[f231,f2067]) ).

fof(f2067,plain,
    ( spl62_326
  <=> n4 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_326])]) ).

fof(f231,plain,
    n4 != n14,
    inference(cnf_transformation,[],[f2]) ).

fof(f2065,plain,
    ~ spl62_325,
    inference(avatar_split_clause,[],[f379,f2062]) ).

fof(f2062,plain,
    ( spl62_325
  <=> n3 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_325])]) ).

fof(f379,plain,
    n3 != n15,
    inference(cnf_transformation,[],[f2]) ).

fof(f2060,plain,
    ~ spl62_324,
    inference(avatar_split_clause,[],[f462,f2057]) ).

fof(f2057,plain,
    ( spl62_324
  <=> n8 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_324])]) ).

fof(f462,plain,
    n8 != n15,
    inference(cnf_transformation,[],[f2]) ).

fof(f2055,plain,
    spl62_323,
    inference(avatar_split_clause,[],[f29,f2052]) ).

fof(f2052,plain,
    ( spl62_323
  <=> n7 = sum(n2,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_323])]) ).

fof(f29,plain,
    n7 = sum(n2,n5),
    inference(cnf_transformation,[],[f2]) ).

fof(f2050,plain,
    ~ spl62_322,
    inference(avatar_split_clause,[],[f447,f2047]) ).

fof(f2047,plain,
    ( spl62_322
  <=> n2 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_322])]) ).

fof(f447,plain,
    n2 != n14,
    inference(cnf_transformation,[],[f2]) ).

fof(f2045,plain,
    spl62_321,
    inference(avatar_split_clause,[],[f446,f2042]) ).

fof(f2042,plain,
    ( spl62_321
  <=> n11 = sum(n4,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_321])]) ).

fof(f446,plain,
    n11 = sum(n4,n7),
    inference(cnf_transformation,[],[f2]) ).

fof(f2040,plain,
    spl62_320,
    inference(avatar_split_clause,[],[f457,f2037]) ).

fof(f2037,plain,
    ( spl62_320
  <=> succ(n3) = n4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_320])]) ).

fof(f457,plain,
    succ(n3) = n4,
    inference(cnf_transformation,[],[f2]) ).

fof(f2035,plain,
    ~ spl62_319,
    inference(avatar_split_clause,[],[f275,f2032]) ).

fof(f2032,plain,
    ( spl62_319
  <=> n0 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_319])]) ).

fof(f275,plain,
    n0 != n15,
    inference(cnf_transformation,[],[f2]) ).

fof(f2030,plain,
    spl62_318,
    inference(avatar_split_clause,[],[f426,f2027]) ).

fof(f2027,plain,
    ( spl62_318
  <=> pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK4)))))))))))))))) = sK35 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_318])]) ).

fof(f426,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK4)))))))))))))))) = sK35,
    inference(cnf_transformation,[],[f2]) ).

fof(f2025,plain,
    spl62_317,
    inference(avatar_split_clause,[],[f209,f2022]) ).

fof(f2022,plain,
    ( spl62_317
  <=> sum(sum(pred(sK38),succ(sK22)),sum(pred(sK22),succ(sK38))) = sK6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_317])]) ).

fof(f209,plain,
    sum(sum(pred(sK38),succ(sK22)),sum(pred(sK22),succ(sK38))) = sK6,
    inference(cnf_transformation,[],[f2]) ).

fof(f2020,plain,
    spl62_316,
    inference(avatar_split_clause,[],[f140,f2017]) ).

fof(f2017,plain,
    ( spl62_316
  <=> sK44 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK36)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_316])]) ).

fof(f140,plain,
    sK44 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK36)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f2015,plain,
    ~ spl62_315,
    inference(avatar_split_clause,[],[f55,f2012]) ).

fof(f2012,plain,
    ( spl62_315
  <=> n2 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_315])]) ).

fof(f55,plain,
    n2 != n15,
    inference(cnf_transformation,[],[f2]) ).

fof(f2010,plain,
    spl62_314,
    inference(avatar_split_clause,[],[f14,f2007]) ).

fof(f2007,plain,
    ( spl62_314
  <=> n15 = sum(n2,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_314])]) ).

fof(f14,plain,
    n15 = sum(n2,n13),
    inference(cnf_transformation,[],[f2]) ).

fof(f2005,plain,
    spl62_313,
    inference(avatar_split_clause,[],[f110,f2002]) ).

fof(f2002,plain,
    ( spl62_313
  <=> n8 = sum(n6,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_313])]) ).

fof(f110,plain,
    n8 = sum(n6,n2),
    inference(cnf_transformation,[],[f2]) ).

fof(f2000,plain,
    ( ~ spl62_309
    | ~ spl62_310
    | ~ spl62_311
    | ~ spl62_312 ),
    inference(avatar_split_clause,[],[f3,f1997,f1993,f1989,f1985]) ).

fof(f1985,plain,
    ( spl62_309
  <=> sK58 = sK15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_309])]) ).

fof(f1989,plain,
    ( spl62_310
  <=> sK56 = sK40 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_310])]) ).

fof(f1993,plain,
    ( spl62_311
  <=> sK39 = sK17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_311])]) ).

fof(f1997,plain,
    ( spl62_312
  <=> sK46 = sK28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_312])]) ).

fof(f3,plain,
    ( sK46 != sK28
    | sK39 != sK17
    | sK56 != sK40
    | sK58 != sK15 ),
    inference(cnf_transformation,[],[f2]) ).

fof(f1983,plain,
    spl62_308,
    inference(avatar_split_clause,[],[f291,f1980]) ).

fof(f1980,plain,
    ( spl62_308
  <=> sum(pred(sK9),sum(succ(sK16),sum(pred(sK53),succ(sK2)))) = sK36 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_308])]) ).

fof(f291,plain,
    sum(pred(sK9),sum(succ(sK16),sum(pred(sK53),succ(sK2)))) = sK36,
    inference(cnf_transformation,[],[f2]) ).

fof(f1978,plain,
    spl62_307,
    inference(avatar_split_clause,[],[f404,f1975]) ).

fof(f1975,plain,
    ( spl62_307
  <=> pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK28)))))))))))))))) = sK27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_307])]) ).

fof(f404,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK28)))))))))))))))) = sK27,
    inference(cnf_transformation,[],[f2]) ).

fof(f1973,plain,
    ~ spl62_306,
    inference(avatar_split_clause,[],[f23,f1970]) ).

fof(f1970,plain,
    ( spl62_306
  <=> n7 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_306])]) ).

fof(f23,plain,
    n7 != n11,
    inference(cnf_transformation,[],[f2]) ).

fof(f1968,plain,
    spl62_305,
    inference(avatar_split_clause,[],[f407,f1965]) ).

fof(f1965,plain,
    ( spl62_305
  <=> sK47 = sum(pred(sK13),sum(succ(sK57),sum(pred(sK32),succ(sK31)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_305])]) ).

fof(f407,plain,
    sK47 = sum(pred(sK13),sum(succ(sK57),sum(pred(sK32),succ(sK31)))),
    inference(cnf_transformation,[],[f2]) ).

fof(f1963,plain,
    spl62_304,
    inference(avatar_split_clause,[],[f155,f1960]) ).

fof(f1960,plain,
    ( spl62_304
  <=> n5 = sum(n5,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_304])]) ).

fof(f155,plain,
    n5 = sum(n5,n0),
    inference(cnf_transformation,[],[f2]) ).

fof(f1958,plain,
    spl62_303,
    inference(avatar_split_clause,[],[f91,f1955]) ).

fof(f1955,plain,
    ( spl62_303
  <=> n14 = sum(n6,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_303])]) ).

fof(f91,plain,
    n14 = sum(n6,n8),
    inference(cnf_transformation,[],[f2]) ).

fof(f1953,plain,
    spl62_302,
    inference(avatar_split_clause,[],[f28,f1950]) ).

fof(f1950,plain,
    ( spl62_302
  <=> n10 = sum(n4,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_302])]) ).

fof(f28,plain,
    n10 = sum(n4,n6),
    inference(cnf_transformation,[],[f2]) ).

fof(f1948,plain,
    spl62_301,
    inference(avatar_split_clause,[],[f328,f1945]) ).

fof(f1945,plain,
    ( spl62_301
  <=> n8 = sum(n10,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_301])]) ).

fof(f328,plain,
    n8 = sum(n10,n14),
    inference(cnf_transformation,[],[f2]) ).

fof(f1943,plain,
    ~ spl62_300,
    inference(avatar_split_clause,[],[f225,f1940]) ).

fof(f1940,plain,
    ( spl62_300
  <=> n7 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_300])]) ).

fof(f225,plain,
    n7 != n13,
    inference(cnf_transformation,[],[f2]) ).

fof(f1938,plain,
    spl62_299,
    inference(avatar_split_clause,[],[f126,f1935]) ).

fof(f1935,plain,
    ( spl62_299
  <=> n10 = sum(n0,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_299])]) ).

fof(f126,plain,
    n10 = sum(n0,n10),
    inference(cnf_transformation,[],[f2]) ).

fof(f1933,plain,
    spl62_298,
    inference(avatar_split_clause,[],[f306,f1930]) ).

fof(f1930,plain,
    ( spl62_298
  <=> n6 = sum(n12,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_298])]) ).

fof(f306,plain,
    n6 = sum(n12,n10),
    inference(cnf_transformation,[],[f2]) ).

fof(f1928,plain,
    spl62_297,
    inference(avatar_split_clause,[],[f319,f1925]) ).

fof(f1925,plain,
    ( spl62_297
  <=> n3 = sum(n6,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_297])]) ).

fof(f319,plain,
    n3 = sum(n6,n13),
    inference(cnf_transformation,[],[f2]) ).

fof(f1923,plain,
    spl62_296,
    inference(avatar_split_clause,[],[f232,f1920]) ).

fof(f1920,plain,
    ( spl62_296
  <=> n13 = sum(n6,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_296])]) ).

fof(f232,plain,
    n13 = sum(n6,n7),
    inference(cnf_transformation,[],[f2]) ).

fof(f1918,plain,
    spl62_295,
    inference(avatar_split_clause,[],[f216,f1915]) ).

fof(f1915,plain,
    ( spl62_295
  <=> n8 = sum(n3,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_295])]) ).

fof(f216,plain,
    n8 = sum(n3,n5),
    inference(cnf_transformation,[],[f2]) ).

fof(f1913,plain,
    spl62_294,
    inference(avatar_split_clause,[],[f46,f1910]) ).

fof(f1910,plain,
    ( spl62_294
  <=> n15 = sum(n4,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_294])]) ).

fof(f46,plain,
    n15 = sum(n4,n11),
    inference(cnf_transformation,[],[f2]) ).

fof(f1908,plain,
    ~ spl62_293,
    inference(avatar_split_clause,[],[f363,f1905]) ).

fof(f1905,plain,
    ( spl62_293
  <=> n8 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_293])]) ).

fof(f363,plain,
    n8 != n12,
    inference(cnf_transformation,[],[f2]) ).

fof(f1903,plain,
    spl62_292,
    inference(avatar_split_clause,[],[f130,f1900]) ).

fof(f1900,plain,
    ( spl62_292
  <=> n11 = sum(n12,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_292])]) ).

fof(f130,plain,
    n11 = sum(n12,n15),
    inference(cnf_transformation,[],[f2]) ).

fof(f1898,plain,
    spl62_291,
    inference(avatar_split_clause,[],[f40,f1895]) ).

fof(f1895,plain,
    ( spl62_291
  <=> n9 = sum(n1,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_291])]) ).

fof(f40,plain,
    n9 = sum(n1,n8),
    inference(cnf_transformation,[],[f2]) ).

fof(f1893,plain,
    spl62_290,
    inference(avatar_split_clause,[],[f123,f1890]) ).

fof(f1890,plain,
    ( spl62_290
  <=> n0 = sum(n7,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_290])]) ).

fof(f123,plain,
    n0 = sum(n7,n9),
    inference(cnf_transformation,[],[f2]) ).

fof(f1888,plain,
    spl62_289,
    inference(avatar_split_clause,[],[f205,f1885]) ).

fof(f1885,plain,
    ( spl62_289
  <=> succ(n5) = n6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_289])]) ).

fof(f205,plain,
    succ(n5) = n6,
    inference(cnf_transformation,[],[f2]) ).

fof(f1883,plain,
    ~ spl62_288,
    inference(avatar_split_clause,[],[f25,f1880]) ).

fof(f1880,plain,
    ( spl62_288
  <=> n1 = n4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_288])]) ).

fof(f25,plain,
    n1 != n4,
    inference(cnf_transformation,[],[f2]) ).

fof(f1878,plain,
    spl62_287,
    inference(avatar_split_clause,[],[f278,f1875]) ).

fof(f1875,plain,
    ( spl62_287
  <=> n13 = sum(n9,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_287])]) ).

fof(f278,plain,
    n13 = sum(n9,n4),
    inference(cnf_transformation,[],[f2]) ).

fof(f1873,plain,
    ~ spl62_286,
    inference(avatar_split_clause,[],[f329,f1870]) ).

fof(f1870,plain,
    ( spl62_286
  <=> n5 = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_286])]) ).

fof(f329,plain,
    n5 != n7,
    inference(cnf_transformation,[],[f2]) ).

fof(f1868,plain,
    spl62_285,
    inference(avatar_split_clause,[],[f24,f1865]) ).

fof(f1865,plain,
    ( spl62_285
  <=> n10 = sum(n9,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_285])]) ).

fof(f24,plain,
    n10 = sum(n9,n1),
    inference(cnf_transformation,[],[f2]) ).

fof(f1863,plain,
    spl62_284,
    inference(avatar_split_clause,[],[f156,f1860]) ).

fof(f1860,plain,
    ( spl62_284
  <=> n5 = sum(n4,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_284])]) ).

fof(f156,plain,
    n5 = sum(n4,n1),
    inference(cnf_transformation,[],[f2]) ).

fof(f1858,plain,
    spl62_283,
    inference(avatar_split_clause,[],[f370,f1855]) ).

fof(f1855,plain,
    ( spl62_283
  <=> sum(sum(pred(sK40),succ(sK56)),sum(pred(sK56),succ(sK40))) = sK46 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_283])]) ).

fof(f370,plain,
    sum(sum(pred(sK40),succ(sK56)),sum(pred(sK56),succ(sK40))) = sK46,
    inference(cnf_transformation,[],[f2]) ).

fof(f1853,plain,
    spl62_282,
    inference(avatar_split_clause,[],[f183,f1850]) ).

fof(f1850,plain,
    ( spl62_282
  <=> n7 = sum(n0,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_282])]) ).

fof(f183,plain,
    n7 = sum(n0,n7),
    inference(cnf_transformation,[],[f2]) ).

fof(f1848,plain,
    spl62_281,
    inference(avatar_split_clause,[],[f411,f1845]) ).

fof(f1845,plain,
    ( spl62_281
  <=> n0 = sum(n1,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_281])]) ).

fof(f411,plain,
    n0 = sum(n1,n15),
    inference(cnf_transformation,[],[f2]) ).

fof(f1843,plain,
    ~ spl62_280,
    inference(avatar_split_clause,[],[f469,f1840]) ).

fof(f1840,plain,
    ( spl62_280
  <=> n0 = n5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_280])]) ).

fof(f469,plain,
    n0 != n5,
    inference(cnf_transformation,[],[f2]) ).

fof(f1838,plain,
    ~ spl62_279,
    inference(avatar_split_clause,[],[f340,f1835]) ).

fof(f1835,plain,
    ( spl62_279
  <=> n11 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_279])]) ).

fof(f340,plain,
    n11 != n13,
    inference(cnf_transformation,[],[f2]) ).

fof(f1833,plain,
    spl62_278,
    inference(avatar_split_clause,[],[f344,f1830]) ).

fof(f1830,plain,
    ( spl62_278
  <=> n2 = sum(n6,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_278])]) ).

fof(f344,plain,
    n2 = sum(n6,n12),
    inference(cnf_transformation,[],[f2]) ).

fof(f1828,plain,
    spl62_277,
    inference(avatar_split_clause,[],[f49,f1825]) ).

fof(f1825,plain,
    ( spl62_277
  <=> sum(pred(sK18),sum(succ(sK61),sum(pred(sK8),succ(sK30)))) = sK58 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_277])]) ).

fof(f49,plain,
    sum(pred(sK18),sum(succ(sK61),sum(pred(sK8),succ(sK30)))) = sK58,
    inference(cnf_transformation,[],[f2]) ).

fof(f1823,plain,
    ~ spl62_276,
    inference(avatar_split_clause,[],[f295,f1820]) ).

fof(f1820,plain,
    ( spl62_276
  <=> n0 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_276])]) ).

fof(f295,plain,
    n0 != n13,
    inference(cnf_transformation,[],[f2]) ).

fof(f1818,plain,
    spl62_275,
    inference(avatar_split_clause,[],[f287,f1815]) ).

fof(f1815,plain,
    ( spl62_275
  <=> n8 = sum(n8,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_275])]) ).

fof(f287,plain,
    n8 = sum(n8,n0),
    inference(cnf_transformation,[],[f2]) ).

fof(f1813,plain,
    spl62_274,
    inference(avatar_split_clause,[],[f425,f1810]) ).

fof(f1810,plain,
    ( spl62_274
  <=> n12 = pred(n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_274])]) ).

fof(f425,plain,
    n12 = pred(n13),
    inference(cnf_transformation,[],[f2]) ).

fof(f1808,plain,
    spl62_273,
    inference(avatar_split_clause,[],[f218,f1805]) ).

fof(f1805,plain,
    ( spl62_273
  <=> n9 = sum(n13,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_273])]) ).

fof(f218,plain,
    n9 = sum(n13,n12),
    inference(cnf_transformation,[],[f2]) ).

fof(f1803,plain,
    spl62_272,
    inference(avatar_split_clause,[],[f89,f1800]) ).

fof(f1800,plain,
    ( spl62_272
  <=> n3 = sum(n5,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_272])]) ).

fof(f89,plain,
    n3 = sum(n5,n14),
    inference(cnf_transformation,[],[f2]) ).

fof(f1798,plain,
    ~ spl62_271,
    inference(avatar_split_clause,[],[f11,f1795]) ).

fof(f1795,plain,
    ( spl62_271
  <=> n7 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_271])]) ).

fof(f11,plain,
    n7 != n9,
    inference(cnf_transformation,[],[f2]) ).

fof(f1793,plain,
    spl62_270,
    inference(avatar_split_clause,[],[f380,f1790]) ).

fof(f1790,plain,
    ( spl62_270
  <=> sK16 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK7)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_270])]) ).

fof(f380,plain,
    sK16 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK7)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f1788,plain,
    spl62_269,
    inference(avatar_split_clause,[],[f180,f1785]) ).

fof(f1785,plain,
    ( spl62_269
  <=> n13 = sum(n2,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_269])]) ).

fof(f180,plain,
    n13 = sum(n2,n11),
    inference(cnf_transformation,[],[f2]) ).

fof(f1783,plain,
    ~ spl62_268,
    inference(avatar_split_clause,[],[f337,f1780]) ).

fof(f1780,plain,
    ( spl62_268
  <=> n4 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_268])]) ).

fof(f337,plain,
    n4 != n13,
    inference(cnf_transformation,[],[f2]) ).

fof(f1778,plain,
    spl62_267,
    inference(avatar_split_clause,[],[f366,f1775]) ).

fof(f1775,plain,
    ( spl62_267
  <=> n7 = sum(n10,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_267])]) ).

fof(f366,plain,
    n7 = sum(n10,n13),
    inference(cnf_transformation,[],[f2]) ).

fof(f1773,plain,
    ~ spl62_266,
    inference(avatar_split_clause,[],[f202,f1770]) ).

fof(f1770,plain,
    ( spl62_266
  <=> n9 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_266])]) ).

fof(f202,plain,
    n9 != n11,
    inference(cnf_transformation,[],[f2]) ).

fof(f1768,plain,
    spl62_265,
    inference(avatar_split_clause,[],[f359,f1765]) ).

fof(f1765,plain,
    ( spl62_265
  <=> n12 = sum(n9,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_265])]) ).

fof(f359,plain,
    n12 = sum(n9,n3),
    inference(cnf_transformation,[],[f2]) ).

fof(f1763,plain,
    spl62_264,
    inference(avatar_split_clause,[],[f331,f1760]) ).

fof(f1760,plain,
    ( spl62_264
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK51)))))))))))))))) = sK32 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_264])]) ).

fof(f331,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK51)))))))))))))))) = sK32,
    inference(cnf_transformation,[],[f2]) ).

fof(f1758,plain,
    ~ spl62_263,
    inference(avatar_split_clause,[],[f42,f1755]) ).

fof(f1755,plain,
    ( spl62_263
  <=> n0 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_263])]) ).

fof(f42,plain,
    n0 != n12,
    inference(cnf_transformation,[],[f2]) ).

fof(f1753,plain,
    spl62_262,
    inference(avatar_split_clause,[],[f21,f1750]) ).

fof(f1750,plain,
    ( spl62_262
  <=> n15 = sum(n1,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_262])]) ).

fof(f21,plain,
    n15 = sum(n1,n14),
    inference(cnf_transformation,[],[f2]) ).

fof(f1748,plain,
    spl62_261,
    inference(avatar_split_clause,[],[f412,f1745]) ).

fof(f1745,plain,
    ( spl62_261
  <=> n12 = sum(n6,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_261])]) ).

fof(f412,plain,
    n12 = sum(n6,n6),
    inference(cnf_transformation,[],[f2]) ).

fof(f1743,plain,
    spl62_260,
    inference(avatar_split_clause,[],[f47,f1740]) ).

fof(f1740,plain,
    ( spl62_260
  <=> sK30 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK17)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_260])]) ).

fof(f47,plain,
    sK30 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK17)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f1738,plain,
    spl62_259,
    inference(avatar_split_clause,[],[f251,f1735]) ).

fof(f1735,plain,
    ( spl62_259
  <=> succ(n1) = n2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_259])]) ).

fof(f251,plain,
    succ(n1) = n2,
    inference(cnf_transformation,[],[f2]) ).

fof(f1733,plain,
    ~ spl62_258,
    inference(avatar_split_clause,[],[f99,f1730]) ).

fof(f1730,plain,
    ( spl62_258
  <=> n1 = n5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_258])]) ).

fof(f99,plain,
    n1 != n5,
    inference(cnf_transformation,[],[f2]) ).

fof(f1728,plain,
    spl62_257,
    inference(avatar_split_clause,[],[f194,f1725]) ).

fof(f1725,plain,
    ( spl62_257
  <=> sK51 = sum(pred(sK12),sum(succ(sK11),sum(pred(sK29),succ(sK20)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_257])]) ).

fof(f194,plain,
    sK51 = sum(pred(sK12),sum(succ(sK11),sum(pred(sK29),succ(sK20)))),
    inference(cnf_transformation,[],[f2]) ).

fof(f1723,plain,
    ~ spl62_256,
    inference(avatar_split_clause,[],[f103,f1720]) ).

fof(f1720,plain,
    ( spl62_256
  <=> n3 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_256])]) ).

fof(f103,plain,
    n3 != n8,
    inference(cnf_transformation,[],[f2]) ).

fof(f1718,plain,
    ~ spl62_255,
    inference(avatar_split_clause,[],[f356,f1715]) ).

fof(f1715,plain,
    ( spl62_255
  <=> n0 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_255])]) ).

fof(f356,plain,
    n0 != n11,
    inference(cnf_transformation,[],[f2]) ).

fof(f1713,plain,
    spl62_254,
    inference(avatar_split_clause,[],[f403,f1710]) ).

fof(f1710,plain,
    ( spl62_254
  <=> n12 = sum(n11,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_254])]) ).

fof(f403,plain,
    n12 = sum(n11,n1),
    inference(cnf_transformation,[],[f2]) ).

fof(f1708,plain,
    ~ spl62_253,
    inference(avatar_split_clause,[],[f160,f1705]) ).

fof(f1705,plain,
    ( spl62_253
  <=> n3 = n6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_253])]) ).

fof(f160,plain,
    n3 != n6,
    inference(cnf_transformation,[],[f2]) ).

fof(f1703,plain,
    spl62_252,
    inference(avatar_split_clause,[],[f256,f1700]) ).

fof(f1700,plain,
    ( spl62_252
  <=> n14 = sum(n9,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_252])]) ).

fof(f256,plain,
    n14 = sum(n9,n5),
    inference(cnf_transformation,[],[f2]) ).

fof(f1698,plain,
    ~ spl62_251,
    inference(avatar_split_clause,[],[f196,f1695]) ).

fof(f1695,plain,
    ( spl62_251
  <=> n9 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_251])]) ).

fof(f196,plain,
    n9 != n12,
    inference(cnf_transformation,[],[f2]) ).

fof(f1693,plain,
    spl62_250,
    inference(avatar_split_clause,[],[f210,f1690]) ).

fof(f1690,plain,
    ( spl62_250
  <=> n13 = sum(n10,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_250])]) ).

fof(f210,plain,
    n13 = sum(n10,n3),
    inference(cnf_transformation,[],[f2]) ).

fof(f1688,plain,
    spl62_249,
    inference(avatar_split_clause,[],[f186,f1685]) ).

fof(f1685,plain,
    ( spl62_249
  <=> n1 = pred(n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_249])]) ).

fof(f186,plain,
    n1 = pred(n2),
    inference(cnf_transformation,[],[f2]) ).

fof(f1683,plain,
    ~ spl62_248,
    inference(avatar_split_clause,[],[f101,f1680]) ).

fof(f1680,plain,
    ( spl62_248
  <=> n5 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_248])]) ).

fof(f101,plain,
    n5 != n8,
    inference(cnf_transformation,[],[f2]) ).

fof(f1678,plain,
    spl62_247,
    inference(avatar_split_clause,[],[f221,f1675]) ).

fof(f1675,plain,
    ( spl62_247
  <=> n0 = pred(n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_247])]) ).

fof(f221,plain,
    n0 = pred(n1),
    inference(cnf_transformation,[],[f2]) ).

fof(f1673,plain,
    spl62_246,
    inference(avatar_split_clause,[],[f269,f1670]) ).

fof(f1670,plain,
    ( spl62_246
  <=> n0 = sum(n2,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_246])]) ).

fof(f269,plain,
    n0 = sum(n2,n14),
    inference(cnf_transformation,[],[f2]) ).

fof(f1668,plain,
    ~ spl62_245,
    inference(avatar_split_clause,[],[f330,f1665]) ).

fof(f1665,plain,
    ( spl62_245
  <=> n7 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_245])]) ).

fof(f330,plain,
    n7 != n10,
    inference(cnf_transformation,[],[f2]) ).

fof(f1663,plain,
    ~ spl62_244,
    inference(avatar_split_clause,[],[f133,f1660]) ).

fof(f1660,plain,
    ( spl62_244
  <=> n2 = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_244])]) ).

fof(f133,plain,
    n2 != n7,
    inference(cnf_transformation,[],[f2]) ).

fof(f1658,plain,
    spl62_243,
    inference(avatar_split_clause,[],[f414,f1655]) ).

fof(f1655,plain,
    ( spl62_243
  <=> n9 = sum(n4,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_243])]) ).

fof(f414,plain,
    n9 = sum(n4,n5),
    inference(cnf_transformation,[],[f2]) ).

fof(f1653,plain,
    ~ spl62_242,
    inference(avatar_split_clause,[],[f262,f1650]) ).

fof(f1650,plain,
    ( spl62_242
  <=> n12 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_242])]) ).

fof(f262,plain,
    n12 != n15,
    inference(cnf_transformation,[],[f2]) ).

fof(f1648,plain,
    spl62_241,
    inference(avatar_split_clause,[],[f33,f1645]) ).

fof(f1645,plain,
    ( spl62_241
  <=> n4 = sum(n12,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_241])]) ).

fof(f33,plain,
    n4 = sum(n12,n8),
    inference(cnf_transformation,[],[f2]) ).

fof(f1643,plain,
    spl62_240,
    inference(avatar_split_clause,[],[f352,f1640]) ).

fof(f1640,plain,
    ( spl62_240
  <=> n11 = sum(n2,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_240])]) ).

fof(f352,plain,
    n11 = sum(n2,n9),
    inference(cnf_transformation,[],[f2]) ).

fof(f1638,plain,
    spl62_239,
    inference(avatar_split_clause,[],[f429,f1635]) ).

fof(f1635,plain,
    ( spl62_239
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK60)))))))))))))))) = sK29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_239])]) ).

fof(f429,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK60)))))))))))))))) = sK29,
    inference(cnf_transformation,[],[f2]) ).

fof(f1633,plain,
    spl62_238,
    inference(avatar_split_clause,[],[f250,f1630]) ).

fof(f1630,plain,
    ( spl62_238
  <=> n15 = sum(n7,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_238])]) ).

fof(f250,plain,
    n15 = sum(n7,n8),
    inference(cnf_transformation,[],[f2]) ).

fof(f1628,plain,
    spl62_237,
    inference(avatar_split_clause,[],[f300,f1625]) ).

fof(f1625,plain,
    ( spl62_237
  <=> n6 = sum(n0,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_237])]) ).

fof(f300,plain,
    n6 = sum(n0,n6),
    inference(cnf_transformation,[],[f2]) ).

fof(f1623,plain,
    spl62_236,
    inference(avatar_split_clause,[],[f228,f1620]) ).

fof(f1620,plain,
    ( spl62_236
  <=> sK8 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK17)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_236])]) ).

fof(f228,plain,
    sK8 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK17)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f1618,plain,
    spl62_235,
    inference(avatar_split_clause,[],[f165,f1615]) ).

fof(f1615,plain,
    ( spl62_235
  <=> n1 = sum(n11,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_235])]) ).

fof(f165,plain,
    n1 = sum(n11,n6),
    inference(cnf_transformation,[],[f2]) ).

fof(f1613,plain,
    spl62_234,
    inference(avatar_split_clause,[],[f114,f1610]) ).

fof(f1610,plain,
    ( spl62_234
  <=> n1 = sum(n9,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_234])]) ).

fof(f114,plain,
    n1 = sum(n9,n8),
    inference(cnf_transformation,[],[f2]) ).

fof(f1608,plain,
    spl62_233,
    inference(avatar_split_clause,[],[f7,f1605]) ).

fof(f1605,plain,
    ( spl62_233
  <=> n9 = sum(n7,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_233])]) ).

fof(f7,plain,
    n9 = sum(n7,n2),
    inference(cnf_transformation,[],[f2]) ).

fof(f1603,plain,
    spl62_232,
    inference(avatar_split_clause,[],[f128,f1600]) ).

fof(f1600,plain,
    ( spl62_232
  <=> n7 = sum(n12,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_232])]) ).

fof(f128,plain,
    n7 = sum(n12,n11),
    inference(cnf_transformation,[],[f2]) ).

fof(f1598,plain,
    spl62_231,
    inference(avatar_split_clause,[],[f37,f1595]) ).

fof(f1595,plain,
    ( spl62_231
  <=> n11 = sum(n9,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_231])]) ).

fof(f37,plain,
    n11 = sum(n9,n2),
    inference(cnf_transformation,[],[f2]) ).

fof(f1593,plain,
    spl62_230,
    inference(avatar_split_clause,[],[f322,f1590]) ).

fof(f1590,plain,
    ( spl62_230
  <=> n7 = sum(n1,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_230])]) ).

fof(f322,plain,
    n7 = sum(n1,n6),
    inference(cnf_transformation,[],[f2]) ).

fof(f1588,plain,
    spl62_229,
    inference(avatar_split_clause,[],[f394,f1585]) ).

fof(f1585,plain,
    ( spl62_229
  <=> n10 = pred(n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_229])]) ).

fof(f394,plain,
    n10 = pred(n11),
    inference(cnf_transformation,[],[f2]) ).

fof(f1583,plain,
    spl62_228,
    inference(avatar_split_clause,[],[f19,f1580]) ).

fof(f1580,plain,
    ( spl62_228
  <=> n6 = sum(n5,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_228])]) ).

fof(f19,plain,
    n6 = sum(n5,n1),
    inference(cnf_transformation,[],[f2]) ).

fof(f1578,plain,
    spl62_227,
    inference(avatar_split_clause,[],[f427,f1575]) ).

fof(f1575,plain,
    ( spl62_227
  <=> n8 = sum(n9,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_227])]) ).

fof(f427,plain,
    n8 = sum(n9,n15),
    inference(cnf_transformation,[],[f2]) ).

fof(f1573,plain,
    spl62_226,
    inference(avatar_split_clause,[],[f441,f1570]) ).

fof(f1570,plain,
    ( spl62_226
  <=> n13 = sum(n3,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_226])]) ).

fof(f441,plain,
    n13 = sum(n3,n10),
    inference(cnf_transformation,[],[f2]) ).

fof(f1568,plain,
    spl62_225,
    inference(avatar_split_clause,[],[f75,f1565]) ).

fof(f1565,plain,
    ( spl62_225
  <=> n10 = sum(n15,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_225])]) ).

fof(f75,plain,
    n10 = sum(n15,n11),
    inference(cnf_transformation,[],[f2]) ).

fof(f1563,plain,
    spl62_224,
    inference(avatar_split_clause,[],[f199,f1560]) ).

fof(f1560,plain,
    ( spl62_224
  <=> n2 = sum(n12,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_224])]) ).

fof(f199,plain,
    n2 = sum(n12,n6),
    inference(cnf_transformation,[],[f2]) ).

fof(f1558,plain,
    spl62_223,
    inference(avatar_split_clause,[],[f290,f1555]) ).

fof(f1555,plain,
    ( spl62_223
  <=> sum(sum(pred(sK1),succ(sK45)),sum(pred(sK45),succ(sK1))) = sK4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_223])]) ).

fof(f290,plain,
    sum(sum(pred(sK1),succ(sK45)),sum(pred(sK45),succ(sK1))) = sK4,
    inference(cnf_transformation,[],[f2]) ).

fof(f1553,plain,
    spl62_222,
    inference(avatar_split_clause,[],[f401,f1550]) ).

fof(f1550,plain,
    ( spl62_222
  <=> n1 = sum(n3,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_222])]) ).

fof(f401,plain,
    n1 = sum(n3,n14),
    inference(cnf_transformation,[],[f2]) ).

fof(f1548,plain,
    ~ spl62_221,
    inference(avatar_split_clause,[],[f422,f1545]) ).

fof(f1545,plain,
    ( spl62_221
  <=> n5 = n6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_221])]) ).

fof(f422,plain,
    n5 != n6,
    inference(cnf_transformation,[],[f2]) ).

fof(f1543,plain,
    spl62_220,
    inference(avatar_split_clause,[],[f286,f1540]) ).

fof(f1540,plain,
    ( spl62_220
  <=> n10 = sum(n10,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_220])]) ).

fof(f286,plain,
    n10 = sum(n10,n0),
    inference(cnf_transformation,[],[f2]) ).

fof(f1538,plain,
    ~ spl62_219,
    inference(avatar_split_clause,[],[f292,f1535]) ).

fof(f1535,plain,
    ( spl62_219
  <=> n8 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_219])]) ).

fof(f292,plain,
    n8 != n13,
    inference(cnf_transformation,[],[f2]) ).

fof(f1533,plain,
    ~ spl62_218,
    inference(avatar_split_clause,[],[f97,f1530]) ).

fof(f1530,plain,
    ( spl62_218
  <=> n4 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_218])]) ).

fof(f97,plain,
    n4 != n9,
    inference(cnf_transformation,[],[f2]) ).

fof(f1528,plain,
    spl62_217,
    inference(avatar_split_clause,[],[f308,f1525]) ).

fof(f1525,plain,
    ( spl62_217
  <=> n11 = sum(n1,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_217])]) ).

fof(f308,plain,
    n11 = sum(n1,n10),
    inference(cnf_transformation,[],[f2]) ).

fof(f1523,plain,
    ~ spl62_216,
    inference(avatar_split_clause,[],[f367,f1520]) ).

fof(f1520,plain,
    ( spl62_216
  <=> n10 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_216])]) ).

fof(f367,plain,
    n10 != n13,
    inference(cnf_transformation,[],[f2]) ).

fof(f1518,plain,
    ~ spl62_215,
    inference(avatar_split_clause,[],[f423,f1515]) ).

fof(f1515,plain,
    ( spl62_215
  <=> n11 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_215])]) ).

fof(f423,plain,
    n11 != n15,
    inference(cnf_transformation,[],[f2]) ).

fof(f1513,plain,
    spl62_214,
    inference(avatar_split_clause,[],[f336,f1510]) ).

fof(f1510,plain,
    ( spl62_214
  <=> n7 = sum(n6,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_214])]) ).

fof(f336,plain,
    n7 = sum(n6,n1),
    inference(cnf_transformation,[],[f2]) ).

fof(f1508,plain,
    spl62_213,
    inference(avatar_split_clause,[],[f53,f1505]) ).

fof(f1505,plain,
    ( spl62_213
  <=> sK18 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK39)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_213])]) ).

fof(f53,plain,
    sK18 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK39)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f1503,plain,
    spl62_212,
    inference(avatar_split_clause,[],[f223,f1500]) ).

fof(f1500,plain,
    ( spl62_212
  <=> n14 = sum(n3,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_212])]) ).

fof(f223,plain,
    n14 = sum(n3,n11),
    inference(cnf_transformation,[],[f2]) ).

fof(f1498,plain,
    ~ spl62_211,
    inference(avatar_split_clause,[],[f254,f1495]) ).

fof(f1495,plain,
    ( spl62_211
  <=> n2 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_211])]) ).

fof(f254,plain,
    n2 != n11,
    inference(cnf_transformation,[],[f2]) ).

fof(f1493,plain,
    ~ spl62_210,
    inference(avatar_split_clause,[],[f375,f1490]) ).

fof(f1490,plain,
    ( spl62_210
  <=> n2 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_210])]) ).

fof(f375,plain,
    n2 != n8,
    inference(cnf_transformation,[],[f2]) ).

fof(f1488,plain,
    spl62_209,
    inference(avatar_split_clause,[],[f424,f1485]) ).

fof(f1485,plain,
    ( spl62_209
  <=> n7 = sum(n5,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_209])]) ).

fof(f424,plain,
    n7 = sum(n5,n2),
    inference(cnf_transformation,[],[f2]) ).

fof(f1483,plain,
    spl62_208,
    inference(avatar_split_clause,[],[f288,f1480]) ).

fof(f1480,plain,
    ( spl62_208
  <=> n8 = sum(n1,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_208])]) ).

fof(f288,plain,
    n8 = sum(n1,n7),
    inference(cnf_transformation,[],[f2]) ).

fof(f1478,plain,
    spl62_207,
    inference(avatar_split_clause,[],[f30,f1475]) ).

fof(f1475,plain,
    ( spl62_207
  <=> n3 = sum(n7,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_207])]) ).

fof(f30,plain,
    n3 = sum(n7,n12),
    inference(cnf_transformation,[],[f2]) ).

fof(f1473,plain,
    spl62_206,
    inference(avatar_split_clause,[],[f473,f1470]) ).

fof(f1470,plain,
    ( spl62_206
  <=> n2 = sum(n11,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_206])]) ).

fof(f473,plain,
    n2 = sum(n11,n7),
    inference(cnf_transformation,[],[f2]) ).

fof(f1468,plain,
    spl62_205,
    inference(avatar_split_clause,[],[f237,f1465]) ).

fof(f1465,plain,
    ( spl62_205
  <=> n14 = sum(n11,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_205])]) ).

fof(f237,plain,
    n14 = sum(n11,n3),
    inference(cnf_transformation,[],[f2]) ).

fof(f1463,plain,
    ~ spl62_204,
    inference(avatar_split_clause,[],[f152,f1460]) ).

fof(f1460,plain,
    ( spl62_204
  <=> n7 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_204])]) ).

fof(f152,plain,
    n7 != n8,
    inference(cnf_transformation,[],[f2]) ).

fof(f1458,plain,
    ~ spl62_203,
    inference(avatar_split_clause,[],[f305,f1455]) ).

fof(f1455,plain,
    ( spl62_203
  <=> n2 = n6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_203])]) ).

fof(f305,plain,
    n2 != n6,
    inference(cnf_transformation,[],[f2]) ).

fof(f1453,plain,
    spl62_202,
    inference(avatar_split_clause,[],[f365,f1450]) ).

fof(f1450,plain,
    ( spl62_202
  <=> n11 = sum(n15,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_202])]) ).

fof(f365,plain,
    n11 = sum(n15,n12),
    inference(cnf_transformation,[],[f2]) ).

fof(f1448,plain,
    spl62_201,
    inference(avatar_split_clause,[],[f173,f1445]) ).

fof(f1445,plain,
    ( spl62_201
  <=> sK1 = sum(sum(pred(sK3),succ(sK36)),sum(pred(sK36),succ(sK3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_201])]) ).

fof(f173,plain,
    sK1 = sum(sum(pred(sK3),succ(sK36)),sum(pred(sK36),succ(sK3))),
    inference(cnf_transformation,[],[f2]) ).

fof(f1443,plain,
    spl62_200,
    inference(avatar_split_clause,[],[f369,f1440]) ).

fof(f1440,plain,
    ( spl62_200
  <=> n0 = sum(n8,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_200])]) ).

fof(f369,plain,
    n0 = sum(n8,n8),
    inference(cnf_transformation,[],[f2]) ).

fof(f1438,plain,
    spl62_199,
    inference(avatar_split_clause,[],[f95,f1435]) ).

fof(f1435,plain,
    ( spl62_199
  <=> succ(n8) = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_199])]) ).

fof(f95,plain,
    succ(n8) = n9,
    inference(cnf_transformation,[],[f2]) ).

fof(f1433,plain,
    ~ spl62_198,
    inference(avatar_split_clause,[],[f431,f1430]) ).

fof(f1430,plain,
    ( spl62_198
  <=> n6 = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_198])]) ).

fof(f431,plain,
    n6 != n7,
    inference(cnf_transformation,[],[f2]) ).

fof(f1428,plain,
    spl62_197,
    inference(avatar_split_clause,[],[f198,f1425]) ).

fof(f1425,plain,
    ( spl62_197
  <=> n7 = pred(n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_197])]) ).

fof(f198,plain,
    n7 = pred(n8),
    inference(cnf_transformation,[],[f2]) ).

fof(f1423,plain,
    ~ spl62_196,
    inference(avatar_split_clause,[],[f107,f1420]) ).

fof(f1420,plain,
    ( spl62_196
  <=> n2 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_196])]) ).

fof(f107,plain,
    n2 != n13,
    inference(cnf_transformation,[],[f2]) ).

fof(f1418,plain,
    spl62_195,
    inference(avatar_split_clause,[],[f242,f1415]) ).

fof(f1415,plain,
    ( spl62_195
  <=> n5 = sum(n14,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_195])]) ).

fof(f242,plain,
    n5 = sum(n14,n7),
    inference(cnf_transformation,[],[f2]) ).

fof(f1413,plain,
    spl62_194,
    inference(avatar_split_clause,[],[f136,f1410]) ).

fof(f1410,plain,
    ( spl62_194
  <=> n6 = sum(n2,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_194])]) ).

fof(f136,plain,
    n6 = sum(n2,n4),
    inference(cnf_transformation,[],[f2]) ).

fof(f1408,plain,
    spl62_193,
    inference(avatar_split_clause,[],[f338,f1405]) ).

fof(f1405,plain,
    ( spl62_193
  <=> n0 = sum(n6,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_193])]) ).

fof(f338,plain,
    n0 = sum(n6,n10),
    inference(cnf_transformation,[],[f2]) ).

fof(f1403,plain,
    ~ spl62_192,
    inference(avatar_split_clause,[],[f386,f1400]) ).

fof(f1400,plain,
    ( spl62_192
  <=> n6 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_192])]) ).

fof(f386,plain,
    n6 != n8,
    inference(cnf_transformation,[],[f2]) ).

fof(f1398,plain,
    spl62_191,
    inference(avatar_split_clause,[],[f78,f1395]) ).

fof(f1395,plain,
    ( spl62_191
  <=> n4 = sum(n15,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_191])]) ).

fof(f78,plain,
    n4 = sum(n15,n5),
    inference(cnf_transformation,[],[f2]) ).

fof(f1393,plain,
    ( spl62_175
    | spl62_176
    | spl62_177
    | spl62_178
    | spl62_179
    | spl62_180
    | spl62_181
    | spl62_182
    | spl62_183
    | spl62_184
    | spl62_185
    | spl62_186
    | spl62_187
    | spl62_188
    | spl62_189
    | spl62_190 ),
    inference(avatar_split_clause,[],[f5,f1390,f1386,f1382,f1378,f1374,f1370,f1366,f1362,f1358,f1354,f1350,f1346,f1342,f1338,f1334,f1330]) ).

fof(f1330,plain,
    ( spl62_175
  <=> n13 = sK38 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_175])]) ).

fof(f1334,plain,
    ( spl62_176
  <=> n6 = sK38 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_176])]) ).

fof(f1338,plain,
    ( spl62_177
  <=> n12 = sK38 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_177])]) ).

fof(f1342,plain,
    ( spl62_178
  <=> n5 = sK38 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_178])]) ).

fof(f1346,plain,
    ( spl62_179
  <=> n15 = sK38 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_179])]) ).

fof(f1350,plain,
    ( spl62_180
  <=> n1 = sK38 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_180])]) ).

fof(f1354,plain,
    ( spl62_181
  <=> n9 = sK38 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_181])]) ).

fof(f1358,plain,
    ( spl62_182
  <=> n7 = sK38 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_182])]) ).

fof(f1362,plain,
    ( spl62_183
  <=> n3 = sK38 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_183])]) ).

fof(f1366,plain,
    ( spl62_184
  <=> n4 = sK38 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_184])]) ).

fof(f1370,plain,
    ( spl62_185
  <=> n0 = sK38 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_185])]) ).

fof(f1374,plain,
    ( spl62_186
  <=> n14 = sK38 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_186])]) ).

fof(f1378,plain,
    ( spl62_187
  <=> n10 = sK38 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_187])]) ).

fof(f1382,plain,
    ( spl62_188
  <=> n2 = sK38 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_188])]) ).

fof(f1386,plain,
    ( spl62_189
  <=> n8 = sK38 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_189])]) ).

fof(f1390,plain,
    ( spl62_190
  <=> n11 = sK38 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_190])]) ).

fof(f5,plain,
    ( n11 = sK38
    | n8 = sK38
    | n2 = sK38
    | n10 = sK38
    | n14 = sK38
    | n0 = sK38
    | n4 = sK38
    | n3 = sK38
    | n7 = sK38
    | n9 = sK38
    | n1 = sK38
    | n15 = sK38
    | n5 = sK38
    | n12 = sK38
    | n6 = sK38
    | n13 = sK38 ),
    inference(cnf_transformation,[],[f2]) ).

fof(f1328,plain,
    spl62_174,
    inference(avatar_split_clause,[],[f385,f1325]) ).

fof(f1325,plain,
    ( spl62_174
  <=> n0 = sum(n10,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_174])]) ).

fof(f385,plain,
    n0 = sum(n10,n6),
    inference(cnf_transformation,[],[f2]) ).

fof(f1323,plain,
    spl62_173,
    inference(avatar_split_clause,[],[f371,f1320]) ).

fof(f1320,plain,
    ( spl62_173
  <=> n13 = sum(n0,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_173])]) ).

fof(f371,plain,
    n13 = sum(n0,n13),
    inference(cnf_transformation,[],[f2]) ).

fof(f1318,plain,
    spl62_172,
    inference(avatar_split_clause,[],[f212,f1315]) ).

fof(f1315,plain,
    ( spl62_172
  <=> n6 = sum(n8,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_172])]) ).

fof(f212,plain,
    n6 = sum(n8,n14),
    inference(cnf_transformation,[],[f2]) ).

fof(f1313,plain,
    spl62_171,
    inference(avatar_split_clause,[],[f80,f1310]) ).

fof(f1310,plain,
    ( spl62_171
  <=> succ(n0) = n1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_171])]) ).

fof(f80,plain,
    succ(n0) = n1,
    inference(cnf_transformation,[],[f2]) ).

fof(f1308,plain,
    spl62_170,
    inference(avatar_split_clause,[],[f321,f1305]) ).

fof(f1305,plain,
    ( spl62_170
  <=> n5 = sum(n9,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_170])]) ).

fof(f321,plain,
    n5 = sum(n9,n12),
    inference(cnf_transformation,[],[f2]) ).

fof(f1303,plain,
    ~ spl62_169,
    inference(avatar_split_clause,[],[f86,f1300]) ).

fof(f1300,plain,
    ( spl62_169
  <=> n2 = n5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_169])]) ).

fof(f86,plain,
    n2 != n5,
    inference(cnf_transformation,[],[f2]) ).

fof(f1298,plain,
    spl62_168,
    inference(avatar_split_clause,[],[f178,f1295]) ).

fof(f1295,plain,
    ( spl62_168
  <=> n6 = sum(n3,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_168])]) ).

fof(f178,plain,
    n6 = sum(n3,n3),
    inference(cnf_transformation,[],[f2]) ).

fof(f1293,plain,
    spl62_167,
    inference(avatar_split_clause,[],[f137,f1290]) ).

fof(f1290,plain,
    ( spl62_167
  <=> n5 = sum(n13,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_167])]) ).

fof(f137,plain,
    n5 = sum(n13,n8),
    inference(cnf_transformation,[],[f2]) ).

fof(f1288,plain,
    spl62_166,
    inference(avatar_split_clause,[],[f395,f1285]) ).

fof(f1285,plain,
    ( spl62_166
  <=> n8 = pred(n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_166])]) ).

fof(f395,plain,
    n8 = pred(n9),
    inference(cnf_transformation,[],[f2]) ).

fof(f1283,plain,
    spl62_165,
    inference(avatar_split_clause,[],[f294,f1280]) ).

fof(f1280,plain,
    ( spl62_165
  <=> n8 = sum(n11,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_165])]) ).

fof(f294,plain,
    n8 = sum(n11,n13),
    inference(cnf_transformation,[],[f2]) ).

fof(f1278,plain,
    ~ spl62_164,
    inference(avatar_split_clause,[],[f185,f1275]) ).

fof(f1275,plain,
    ( spl62_164
  <=> n1 = n3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_164])]) ).

fof(f185,plain,
    n1 != n3,
    inference(cnf_transformation,[],[f2]) ).

fof(f1273,plain,
    spl62_163,
    inference(avatar_split_clause,[],[f213,f1270]) ).

fof(f1270,plain,
    ( spl62_163
  <=> n7 = sum(n11,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_163])]) ).

fof(f213,plain,
    n7 = sum(n11,n12),
    inference(cnf_transformation,[],[f2]) ).

fof(f1268,plain,
    spl62_162,
    inference(avatar_split_clause,[],[f189,f1265]) ).

fof(f1265,plain,
    ( spl62_162
  <=> n4 = sum(n0,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_162])]) ).

fof(f189,plain,
    n4 = sum(n0,n4),
    inference(cnf_transformation,[],[f2]) ).

fof(f1263,plain,
    spl62_161,
    inference(avatar_split_clause,[],[f227,f1260]) ).

fof(f1260,plain,
    ( spl62_161
  <=> succ(n10) = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_161])]) ).

fof(f227,plain,
    succ(n10) = n11,
    inference(cnf_transformation,[],[f2]) ).

fof(f1258,plain,
    ~ spl62_160,
    inference(avatar_split_clause,[],[f325,f1255]) ).

fof(f1255,plain,
    ( spl62_160
  <=> n4 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_160])]) ).

fof(f325,plain,
    n4 != n10,
    inference(cnf_transformation,[],[f2]) ).

fof(f1253,plain,
    spl62_159,
    inference(avatar_split_clause,[],[f244,f1250]) ).

fof(f1250,plain,
    ( spl62_159
  <=> n15 = sum(n0,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_159])]) ).

fof(f244,plain,
    n15 = sum(n0,n15),
    inference(cnf_transformation,[],[f2]) ).

fof(f1248,plain,
    ~ spl62_158,
    inference(avatar_split_clause,[],[f201,f1245]) ).

fof(f1245,plain,
    ( spl62_158
  <=> n2 = n3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_158])]) ).

fof(f201,plain,
    n2 != n3,
    inference(cnf_transformation,[],[f2]) ).

fof(f1243,plain,
    spl62_157,
    inference(avatar_split_clause,[],[f324,f1240]) ).

fof(f1240,plain,
    ( spl62_157
  <=> n15 = pred(n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_157])]) ).

fof(f324,plain,
    n15 = pred(n0),
    inference(cnf_transformation,[],[f2]) ).

fof(f1238,plain,
    spl62_156,
    inference(avatar_split_clause,[],[f239,f1235]) ).

fof(f1235,plain,
    ( spl62_156
  <=> n10 = sum(n2,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_156])]) ).

fof(f239,plain,
    n10 = sum(n2,n8),
    inference(cnf_transformation,[],[f2]) ).

fof(f1233,plain,
    spl62_155,
    inference(avatar_split_clause,[],[f238,f1230]) ).

fof(f1230,plain,
    ( spl62_155
  <=> sum(pred(sK33),sum(succ(sK25),sum(pred(sK26),succ(sK24)))) = sK60 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_155])]) ).

fof(f238,plain,
    sum(pred(sK33),sum(succ(sK25),sum(pred(sK26),succ(sK24)))) = sK60,
    inference(cnf_transformation,[],[f2]) ).

fof(f1228,plain,
    ~ spl62_154,
    inference(avatar_split_clause,[],[f428,f1225]) ).

fof(f1225,plain,
    ( spl62_154
  <=> n12 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_154])]) ).

fof(f428,plain,
    n12 != n14,
    inference(cnf_transformation,[],[f2]) ).

fof(f1223,plain,
    spl62_153,
    inference(avatar_split_clause,[],[f260,f1220]) ).

fof(f1220,plain,
    ( spl62_153
  <=> n0 = sum(n3,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_153])]) ).

fof(f260,plain,
    n0 = sum(n3,n13),
    inference(cnf_transformation,[],[f2]) ).

fof(f1218,plain,
    spl62_152,
    inference(avatar_split_clause,[],[f20,f1215]) ).

fof(f1215,plain,
    ( spl62_152
  <=> n2 = sum(n1,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_152])]) ).

fof(f20,plain,
    n2 = sum(n1,n1),
    inference(cnf_transformation,[],[f2]) ).

fof(f1213,plain,
    spl62_151,
    inference(avatar_split_clause,[],[f112,f1210]) ).

fof(f1210,plain,
    ( spl62_151
  <=> n4 = sum(n13,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_151])]) ).

fof(f112,plain,
    n4 = sum(n13,n7),
    inference(cnf_transformation,[],[f2]) ).

fof(f1208,plain,
    spl62_150,
    inference(avatar_split_clause,[],[f192,f1205]) ).

fof(f1205,plain,
    ( spl62_150
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK1)))))))))))))))) = sK52 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_150])]) ).

fof(f192,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK1)))))))))))))))) = sK52,
    inference(cnf_transformation,[],[f2]) ).

fof(f1203,plain,
    spl62_149,
    inference(avatar_split_clause,[],[f65,f1200]) ).

fof(f1200,plain,
    ( spl62_149
  <=> n2 = sum(n4,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_149])]) ).

fof(f65,plain,
    n2 = sum(n4,n14),
    inference(cnf_transformation,[],[f2]) ).

fof(f1198,plain,
    spl62_148,
    inference(avatar_split_clause,[],[f167,f1195]) ).

fof(f1195,plain,
    ( spl62_148
  <=> n9 = sum(n10,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_148])]) ).

fof(f167,plain,
    n9 = sum(n10,n15),
    inference(cnf_transformation,[],[f2]) ).

fof(f1193,plain,
    ~ spl62_147,
    inference(avatar_split_clause,[],[f456,f1190]) ).

fof(f1190,plain,
    ( spl62_147
  <=> n5 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_147])]) ).

fof(f456,plain,
    n5 != n10,
    inference(cnf_transformation,[],[f2]) ).

fof(f1188,plain,
    spl62_146,
    inference(avatar_split_clause,[],[f257,f1185]) ).

fof(f1185,plain,
    ( spl62_146
  <=> n9 = sum(n15,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_146])]) ).

fof(f257,plain,
    n9 = sum(n15,n10),
    inference(cnf_transformation,[],[f2]) ).

fof(f1183,plain,
    spl62_145,
    inference(avatar_split_clause,[],[f390,f1180]) ).

fof(f1180,plain,
    ( spl62_145
  <=> n12 = sum(n15,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_145])]) ).

fof(f390,plain,
    n12 = sum(n15,n13),
    inference(cnf_transformation,[],[f2]) ).

fof(f1178,plain,
    spl62_144,
    inference(avatar_split_clause,[],[f364,f1175]) ).

fof(f1175,plain,
    ( spl62_144
  <=> n8 = sum(n15,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_144])]) ).

fof(f364,plain,
    n8 = sum(n15,n9),
    inference(cnf_transformation,[],[f2]) ).

fof(f1173,plain,
    spl62_143,
    inference(avatar_split_clause,[],[f106,f1170]) ).

fof(f1170,plain,
    ( spl62_143
  <=> n11 = sum(n7,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_143])]) ).

fof(f106,plain,
    n11 = sum(n7,n4),
    inference(cnf_transformation,[],[f2]) ).

fof(f1168,plain,
    spl62_142,
    inference(avatar_split_clause,[],[f304,f1165]) ).

fof(f1165,plain,
    ( spl62_142
  <=> n3 = pred(n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_142])]) ).

fof(f304,plain,
    n3 = pred(n4),
    inference(cnf_transformation,[],[f2]) ).

fof(f1163,plain,
    ~ spl62_141,
    inference(avatar_split_clause,[],[f302,f1160]) ).

fof(f1160,plain,
    ( spl62_141
  <=> n1 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_141])]) ).

fof(f302,plain,
    n1 != n15,
    inference(cnf_transformation,[],[f2]) ).

fof(f1158,plain,
    spl62_140,
    inference(avatar_split_clause,[],[f443,f1155]) ).

fof(f1155,plain,
    ( spl62_140
  <=> n4 = sum(n8,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_140])]) ).

fof(f443,plain,
    n4 = sum(n8,n12),
    inference(cnf_transformation,[],[f2]) ).

fof(f1153,plain,
    ~ spl62_139,
    inference(avatar_split_clause,[],[f389,f1150]) ).

fof(f1150,plain,
    ( spl62_139
  <=> n4 = n5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_139])]) ).

fof(f389,plain,
    n4 != n5,
    inference(cnf_transformation,[],[f2]) ).

fof(f1148,plain,
    ~ spl62_138,
    inference(avatar_split_clause,[],[f245,f1145]) ).

fof(f1145,plain,
    ( spl62_138
  <=> n11 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_138])]) ).

fof(f245,plain,
    n11 != n14,
    inference(cnf_transformation,[],[f2]) ).

fof(f1143,plain,
    spl62_137,
    inference(avatar_split_clause,[],[f41,f1140]) ).

fof(f1140,plain,
    ( spl62_137
  <=> sum(sum(pred(sK4),succ(sK42)),sum(pred(sK42),succ(sK4))) = sK40 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_137])]) ).

fof(f41,plain,
    sum(sum(pred(sK4),succ(sK42)),sum(pred(sK42),succ(sK4))) = sK40,
    inference(cnf_transformation,[],[f2]) ).

fof(f1138,plain,
    spl62_136,
    inference(avatar_split_clause,[],[f397,f1135]) ).

fof(f1135,plain,
    ( spl62_136
  <=> n0 = sum(n13,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_136])]) ).

fof(f397,plain,
    n0 = sum(n13,n3),
    inference(cnf_transformation,[],[f2]) ).

fof(f1133,plain,
    spl62_135,
    inference(avatar_split_clause,[],[f146,f1130]) ).

fof(f1130,plain,
    ( spl62_135
  <=> n11 = pred(n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_135])]) ).

fof(f146,plain,
    n11 = pred(n12),
    inference(cnf_transformation,[],[f2]) ).

fof(f1128,plain,
    ~ spl62_134,
    inference(avatar_split_clause,[],[f440,f1125]) ).

fof(f1125,plain,
    ( spl62_134
  <=> n4 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_134])]) ).

fof(f440,plain,
    n4 != n8,
    inference(cnf_transformation,[],[f2]) ).

fof(f1123,plain,
    ~ spl62_133,
    inference(avatar_split_clause,[],[f243,f1120]) ).

fof(f1120,plain,
    ( spl62_133
  <=> n1 = n6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_133])]) ).

fof(f243,plain,
    n1 != n6,
    inference(cnf_transformation,[],[f2]) ).

fof(f1118,plain,
    ~ spl62_132,
    inference(avatar_split_clause,[],[f241,f1115]) ).

fof(f1115,plain,
    ( spl62_132
  <=> n14 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_132])]) ).

fof(f241,plain,
    n14 != n15,
    inference(cnf_transformation,[],[f2]) ).

fof(f1113,plain,
    spl62_131,
    inference(avatar_split_clause,[],[f131,f1110]) ).

fof(f1110,plain,
    ( spl62_131
  <=> n9 = sum(n12,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_131])]) ).

fof(f131,plain,
    n9 = sum(n12,n13),
    inference(cnf_transformation,[],[f2]) ).

fof(f1108,plain,
    spl62_130,
    inference(avatar_split_clause,[],[f235,f1105]) ).

fof(f1105,plain,
    ( spl62_130
  <=> n9 = sum(n3,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_130])]) ).

fof(f235,plain,
    n9 = sum(n3,n6),
    inference(cnf_transformation,[],[f2]) ).

fof(f1103,plain,
    spl62_129,
    inference(avatar_split_clause,[],[f32,f1100]) ).

fof(f1100,plain,
    ( spl62_129
  <=> n9 = sum(n8,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_129])]) ).

fof(f32,plain,
    n9 = sum(n8,n1),
    inference(cnf_transformation,[],[f2]) ).

fof(f1098,plain,
    spl62_128,
    inference(avatar_split_clause,[],[f421,f1095]) ).

fof(f1095,plain,
    ( spl62_128
  <=> n2 = sum(n2,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_128])]) ).

fof(f421,plain,
    n2 = sum(n2,n0),
    inference(cnf_transformation,[],[f2]) ).

fof(f1093,plain,
    spl62_127,
    inference(avatar_split_clause,[],[f264,f1090]) ).

fof(f1090,plain,
    ( spl62_127
  <=> n8 = sum(n0,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_127])]) ).

fof(f264,plain,
    n8 = sum(n0,n8),
    inference(cnf_transformation,[],[f2]) ).

fof(f1088,plain,
    spl62_126,
    inference(avatar_split_clause,[],[f18,f1085]) ).

fof(f1085,plain,
    ( spl62_126
  <=> n1 = sum(n15,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_126])]) ).

fof(f18,plain,
    n1 = sum(n15,n2),
    inference(cnf_transformation,[],[f2]) ).

fof(f1083,plain,
    spl62_125,
    inference(avatar_split_clause,[],[f90,f1080]) ).

fof(f1080,plain,
    ( spl62_125
  <=> sK39 = sum(sum(pred(sK46),succ(sK28)),sum(pred(sK28),succ(sK46))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_125])]) ).

fof(f90,plain,
    sK39 = sum(sum(pred(sK46),succ(sK28)),sum(pred(sK28),succ(sK46))),
    inference(cnf_transformation,[],[f2]) ).

fof(f1078,plain,
    spl62_124,
    inference(avatar_split_clause,[],[f335,f1075]) ).

fof(f1075,plain,
    ( spl62_124
  <=> n7 = sum(n9,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_124])]) ).

fof(f335,plain,
    n7 = sum(n9,n14),
    inference(cnf_transformation,[],[f2]) ).

fof(f1073,plain,
    spl62_123,
    inference(avatar_split_clause,[],[f206,f1070]) ).

fof(f1070,plain,
    ( spl62_123
  <=> n8 = sum(n4,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_123])]) ).

fof(f206,plain,
    n8 = sum(n4,n4),
    inference(cnf_transformation,[],[f2]) ).

fof(f1068,plain,
    spl62_122,
    inference(avatar_split_clause,[],[f342,f1065]) ).

fof(f1065,plain,
    ( spl62_122
  <=> n5 = sum(n11,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_122])]) ).

fof(f342,plain,
    n5 = sum(n11,n10),
    inference(cnf_transformation,[],[f2]) ).

fof(f1063,plain,
    ~ spl62_121,
    inference(avatar_split_clause,[],[f449,f1060]) ).

fof(f1060,plain,
    ( spl62_121
  <=> n5 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_121])]) ).

fof(f449,plain,
    n5 != n12,
    inference(cnf_transformation,[],[f2]) ).

fof(f1058,plain,
    spl62_120,
    inference(avatar_split_clause,[],[f13,f1055]) ).

fof(f1055,plain,
    ( spl62_120
  <=> n6 = pred(n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_120])]) ).

fof(f13,plain,
    n6 = pred(n7),
    inference(cnf_transformation,[],[f2]) ).

fof(f1053,plain,
    ~ spl62_119,
    inference(avatar_split_clause,[],[f450,f1050]) ).

fof(f1050,plain,
    ( spl62_119
  <=> n3 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_119])]) ).

fof(f450,plain,
    n3 != n12,
    inference(cnf_transformation,[],[f2]) ).

fof(f1048,plain,
    spl62_118,
    inference(avatar_split_clause,[],[f279,f1045]) ).

fof(f1045,plain,
    ( spl62_118
  <=> n15 = sum(n15,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_118])]) ).

fof(f279,plain,
    n15 = sum(n15,n0),
    inference(cnf_transformation,[],[f2]) ).

fof(f1043,plain,
    spl62_117,
    inference(avatar_split_clause,[],[f272,f1040]) ).

fof(f1040,plain,
    ( spl62_117
  <=> n2 = sum(n14,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_117])]) ).

fof(f272,plain,
    n2 = sum(n14,n4),
    inference(cnf_transformation,[],[f2]) ).

fof(f1038,plain,
    spl62_116,
    inference(avatar_split_clause,[],[f274,f1035]) ).

fof(f1035,plain,
    ( spl62_116
  <=> n1 = sum(n1,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_116])]) ).

fof(f274,plain,
    n1 = sum(n1,n0),
    inference(cnf_transformation,[],[f2]) ).

fof(f1033,plain,
    spl62_115,
    inference(avatar_split_clause,[],[f159,f1030]) ).

fof(f1030,plain,
    ( spl62_115
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK28)))))))))))))))) = sK21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_115])]) ).

fof(f159,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK28)))))))))))))))) = sK21,
    inference(cnf_transformation,[],[f2]) ).

fof(f1028,plain,
    spl62_114,
    inference(avatar_split_clause,[],[f38,f1025]) ).

fof(f1025,plain,
    ( spl62_114
  <=> n2 = sum(n9,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_114])]) ).

fof(f38,plain,
    n2 = sum(n9,n9),
    inference(cnf_transformation,[],[f2]) ).

fof(f1023,plain,
    spl62_113,
    inference(avatar_split_clause,[],[f57,f1020]) ).

fof(f1020,plain,
    ( spl62_113
  <=> n5 = sum(n2,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_113])]) ).

fof(f57,plain,
    n5 = sum(n2,n3),
    inference(cnf_transformation,[],[f2]) ).

fof(f1018,plain,
    spl62_112,
    inference(avatar_split_clause,[],[f158,f1015]) ).

fof(f1015,plain,
    ( spl62_112
  <=> n1 = sum(n5,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_112])]) ).

fof(f158,plain,
    n1 = sum(n5,n12),
    inference(cnf_transformation,[],[f2]) ).

fof(f1013,plain,
    ~ spl62_111,
    inference(avatar_split_clause,[],[f116,f1010]) ).

fof(f1010,plain,
    ( spl62_111
  <=> n13 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_111])]) ).

fof(f116,plain,
    n13 != n15,
    inference(cnf_transformation,[],[f2]) ).

fof(f1008,plain,
    spl62_110,
    inference(avatar_split_clause,[],[f444,f1005]) ).

fof(f1005,plain,
    ( spl62_110
  <=> n14 = sum(n5,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_110])]) ).

fof(f444,plain,
    n14 = sum(n5,n9),
    inference(cnf_transformation,[],[f2]) ).

fof(f1003,plain,
    spl62_109,
    inference(avatar_split_clause,[],[f296,f1000]) ).

fof(f1000,plain,
    ( spl62_109
  <=> n12 = sum(n10,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_109])]) ).

fof(f296,plain,
    n12 = sum(n10,n2),
    inference(cnf_transformation,[],[f2]) ).

fof(f998,plain,
    spl62_108,
    inference(avatar_split_clause,[],[f458,f995]) ).

fof(f995,plain,
    ( spl62_108
  <=> n14 = sum(n8,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_108])]) ).

fof(f458,plain,
    n14 = sum(n8,n6),
    inference(cnf_transformation,[],[f2]) ).

fof(f993,plain,
    ~ spl62_107,
    inference(avatar_split_clause,[],[f191,f990]) ).

fof(f990,plain,
    ( spl62_107
  <=> n4 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_107])]) ).

fof(f191,plain,
    n4 != n11,
    inference(cnf_transformation,[],[f2]) ).

fof(f988,plain,
    spl62_106,
    inference(avatar_split_clause,[],[f355,f985]) ).

fof(f985,plain,
    ( spl62_106
  <=> n5 = sum(n12,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_106])]) ).

fof(f355,plain,
    n5 = sum(n12,n9),
    inference(cnf_transformation,[],[f2]) ).

fof(f983,plain,
    spl62_105,
    inference(avatar_split_clause,[],[f377,f980]) ).

fof(f980,plain,
    ( spl62_105
  <=> n15 = sum(n6,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_105])]) ).

fof(f377,plain,
    n15 = sum(n6,n9),
    inference(cnf_transformation,[],[f2]) ).

fof(f978,plain,
    ~ spl62_104,
    inference(avatar_split_clause,[],[f293,f975]) ).

fof(f975,plain,
    ( spl62_104
  <=> n9 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_104])]) ).

fof(f293,plain,
    n9 != n14,
    inference(cnf_transformation,[],[f2]) ).

fof(f973,plain,
    spl62_103,
    inference(avatar_split_clause,[],[f59,f970]) ).

fof(f970,plain,
    ( spl62_103
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK56)))))))))))))))) = sK37 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_103])]) ).

fof(f59,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK56)))))))))))))))) = sK37,
    inference(cnf_transformation,[],[f2]) ).

fof(f968,plain,
    spl62_102,
    inference(avatar_split_clause,[],[f343,f965]) ).

fof(f965,plain,
    ( spl62_102
  <=> sK33 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK38)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_102])]) ).

fof(f343,plain,
    sK33 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK38)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f963,plain,
    spl62_101,
    inference(avatar_split_clause,[],[f179,f960]) ).

fof(f960,plain,
    ( spl62_101
  <=> sK5 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK42)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_101])]) ).

fof(f179,plain,
    sK5 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK42)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f958,plain,
    ~ spl62_100,
    inference(avatar_split_clause,[],[f374,f955]) ).

fof(f955,plain,
    ( spl62_100
  <=> n11 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_100])]) ).

fof(f374,plain,
    n11 != n12,
    inference(cnf_transformation,[],[f2]) ).

fof(f953,plain,
    spl62_99,
    inference(avatar_split_clause,[],[f314,f950]) ).

fof(f950,plain,
    ( spl62_99
  <=> n2 = sum(n5,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_99])]) ).

fof(f314,plain,
    n2 = sum(n5,n13),
    inference(cnf_transformation,[],[f2]) ).

fof(f948,plain,
    spl62_98,
    inference(avatar_split_clause,[],[f16,f945]) ).

fof(f945,plain,
    ( spl62_98
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK4)))))))))))))))) = sK48 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_98])]) ).

fof(f16,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK4)))))))))))))))) = sK48,
    inference(cnf_transformation,[],[f2]) ).

fof(f943,plain,
    spl62_97,
    inference(avatar_split_clause,[],[f187,f940]) ).

fof(f940,plain,
    ( spl62_97
  <=> n10 = sum(n8,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_97])]) ).

fof(f187,plain,
    n10 = sum(n8,n2),
    inference(cnf_transformation,[],[f2]) ).

fof(f938,plain,
    spl62_96,
    inference(avatar_split_clause,[],[f298,f935]) ).

fof(f935,plain,
    ( spl62_96
  <=> n13 = sum(n1,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_96])]) ).

fof(f298,plain,
    n13 = sum(n1,n12),
    inference(cnf_transformation,[],[f2]) ).

fof(f933,plain,
    spl62_95,
    inference(avatar_split_clause,[],[f438,f930]) ).

fof(f930,plain,
    ( spl62_95
  <=> n4 = sum(n10,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_95])]) ).

fof(f438,plain,
    n4 = sum(n10,n10),
    inference(cnf_transformation,[],[f2]) ).

fof(f928,plain,
    spl62_94,
    inference(avatar_split_clause,[],[f104,f925]) ).

fof(f925,plain,
    ( spl62_94
  <=> n2 = sum(n7,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_94])]) ).

fof(f104,plain,
    n2 = sum(n7,n11),
    inference(cnf_transformation,[],[f2]) ).

fof(f923,plain,
    ~ spl62_93,
    inference(avatar_split_clause,[],[f452,f920]) ).

fof(f920,plain,
    ( spl62_93
  <=> n1 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_93])]) ).

fof(f452,plain,
    n1 != n12,
    inference(cnf_transformation,[],[f2]) ).

fof(f918,plain,
    spl62_92,
    inference(avatar_split_clause,[],[f132,f915]) ).

fof(f915,plain,
    ( spl62_92
  <=> sum(sum(pred(sK39),succ(sK17)),sum(pred(sK17),succ(sK39))) = sK15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_92])]) ).

fof(f132,plain,
    sum(sum(pred(sK39),succ(sK17)),sum(pred(sK17),succ(sK39))) = sK15,
    inference(cnf_transformation,[],[f2]) ).

fof(f913,plain,
    spl62_91,
    inference(avatar_split_clause,[],[f45,f910]) ).

fof(f910,plain,
    ( spl62_91
  <=> n11 = sum(n0,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_91])]) ).

fof(f45,plain,
    n11 = sum(n0,n11),
    inference(cnf_transformation,[],[f2]) ).

fof(f908,plain,
    spl62_90,
    inference(avatar_split_clause,[],[f22,f905]) ).

fof(f905,plain,
    ( spl62_90
  <=> sK43 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK45)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_90])]) ).

fof(f22,plain,
    sK43 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK45)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f903,plain,
    spl62_89,
    inference(avatar_split_clause,[],[f157,f900]) ).

fof(f900,plain,
    ( spl62_89
  <=> pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK39)))))))))))))))) = sK61 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_89])]) ).

fof(f157,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK39)))))))))))))))) = sK61,
    inference(cnf_transformation,[],[f2]) ).

fof(f898,plain,
    spl62_88,
    inference(avatar_split_clause,[],[f74,f895]) ).

fof(f895,plain,
    ( spl62_88
  <=> n4 = pred(n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_88])]) ).

fof(f74,plain,
    n4 = pred(n5),
    inference(cnf_transformation,[],[f2]) ).

fof(f893,plain,
    spl62_87,
    inference(avatar_split_clause,[],[f6,f890]) ).

fof(f890,plain,
    ( spl62_87
  <=> n15 = sum(n8,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_87])]) ).

fof(f6,plain,
    n15 = sum(n8,n7),
    inference(cnf_transformation,[],[f2]) ).

fof(f888,plain,
    ~ spl62_86,
    inference(avatar_split_clause,[],[f436,f885]) ).

fof(f885,plain,
    ( spl62_86
  <=> n4 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_86])]) ).

fof(f436,plain,
    n4 != n15,
    inference(cnf_transformation,[],[f2]) ).

fof(f883,plain,
    spl62_85,
    inference(avatar_split_clause,[],[f382,f880]) ).

fof(f880,plain,
    ( spl62_85
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK3)))))))))))))))) = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_85])]) ).

fof(f382,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK3)))))))))))))))) = sK0,
    inference(cnf_transformation,[],[f2]) ).

fof(f878,plain,
    ~ spl62_84,
    inference(avatar_split_clause,[],[f51,f875]) ).

fof(f875,plain,
    ( spl62_84
  <=> n5 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_84])]) ).

fof(f51,plain,
    n5 != n15,
    inference(cnf_transformation,[],[f2]) ).

fof(f873,plain,
    ~ spl62_83,
    inference(avatar_split_clause,[],[f468,f870]) ).

fof(f870,plain,
    ( spl62_83
  <=> n5 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_83])]) ).

fof(f468,plain,
    n5 != n11,
    inference(cnf_transformation,[],[f2]) ).

fof(f868,plain,
    spl62_82,
    inference(avatar_split_clause,[],[f255,f865]) ).

fof(f865,plain,
    ( spl62_82
  <=> n4 = sum(n3,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_82])]) ).

fof(f255,plain,
    n4 = sum(n3,n1),
    inference(cnf_transformation,[],[f2]) ).

fof(f863,plain,
    spl62_81,
    inference(avatar_split_clause,[],[f81,f860]) ).

fof(f860,plain,
    ( spl62_81
  <=> n3 = sum(n2,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_81])]) ).

fof(f81,plain,
    n3 = sum(n2,n1),
    inference(cnf_transformation,[],[f2]) ).

fof(f858,plain,
    spl62_80,
    inference(avatar_split_clause,[],[f43,f855]) ).

fof(f855,plain,
    ( spl62_80
  <=> succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK6)))))))))))))))) = sK12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_80])]) ).

fof(f43,plain,
    succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK6)))))))))))))))) = sK12,
    inference(cnf_transformation,[],[f2]) ).

fof(f853,plain,
    spl62_79,
    inference(avatar_split_clause,[],[f141,f850]) ).

fof(f850,plain,
    ( spl62_79
  <=> sK3 = sum(sum(pred(sK7),succ(sK47)),sum(pred(sK47),succ(sK7))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_79])]) ).

fof(f141,plain,
    sK3 = sum(sum(pred(sK7),succ(sK47)),sum(pred(sK47),succ(sK7))),
    inference(cnf_transformation,[],[f2]) ).

fof(f848,plain,
    spl62_78,
    inference(avatar_split_clause,[],[f151,f845]) ).

fof(f845,plain,
    ( spl62_78
  <=> n0 = succ(n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_78])]) ).

fof(f151,plain,
    n0 = succ(n15),
    inference(cnf_transformation,[],[f2]) ).

fof(f843,plain,
    spl62_77,
    inference(avatar_split_clause,[],[f289,f840]) ).

fof(f840,plain,
    ( spl62_77
  <=> n13 = sum(n5,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_77])]) ).

fof(f289,plain,
    n13 = sum(n5,n8),
    inference(cnf_transformation,[],[f2]) ).

fof(f838,plain,
    ~ spl62_76,
    inference(avatar_split_clause,[],[f79,f835]) ).

fof(f835,plain,
    ( spl62_76
  <=> n1 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_76])]) ).

fof(f79,plain,
    n1 != n14,
    inference(cnf_transformation,[],[f2]) ).

fof(f833,plain,
    spl62_75,
    inference(avatar_split_clause,[],[f470,f830]) ).

fof(f830,plain,
    ( spl62_75
  <=> sK53 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK47)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_75])]) ).

fof(f470,plain,
    sK53 = succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(sK47)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f828,plain,
    spl62_74,
    inference(avatar_split_clause,[],[f253,f825]) ).

fof(f825,plain,
    ( spl62_74
  <=> n14 = sum(n15,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_74])]) ).

fof(f253,plain,
    n14 = sum(n15,n15),
    inference(cnf_transformation,[],[f2]) ).

fof(f823,plain,
    spl62_73,
    inference(avatar_split_clause,[],[f8,f820]) ).

fof(f820,plain,
    ( spl62_73
  <=> pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK14)))))))))))))))) = sK57 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_73])]) ).

fof(f8,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK14)))))))))))))))) = sK57,
    inference(cnf_transformation,[],[f2]) ).

fof(f818,plain,
    spl62_72,
    inference(avatar_split_clause,[],[f333,f815]) ).

fof(f815,plain,
    ( spl62_72
  <=> n13 = sum(n15,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_72])]) ).

fof(f333,plain,
    n13 = sum(n15,n14),
    inference(cnf_transformation,[],[f2]) ).

fof(f813,plain,
    spl62_71,
    inference(avatar_split_clause,[],[f339,f810]) ).

fof(f810,plain,
    ( spl62_71
  <=> n13 = sum(n13,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_71])]) ).

fof(f339,plain,
    n13 = sum(n13,n0),
    inference(cnf_transformation,[],[f2]) ).

fof(f808,plain,
    spl62_70,
    inference(avatar_split_clause,[],[f259,f805]) ).

fof(f805,plain,
    ( spl62_70
  <=> n6 = sum(n1,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_70])]) ).

fof(f259,plain,
    n6 = sum(n1,n5),
    inference(cnf_transformation,[],[f2]) ).

fof(f803,plain,
    spl62_69,
    inference(avatar_split_clause,[],[f416,f800]) ).

fof(f800,plain,
    ( spl62_69
  <=> n3 = sum(n12,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_69])]) ).

fof(f416,plain,
    n3 = sum(n12,n7),
    inference(cnf_transformation,[],[f2]) ).

fof(f798,plain,
    spl62_68,
    inference(avatar_split_clause,[],[f96,f795]) ).

fof(f795,plain,
    ( spl62_68
  <=> n4 = sum(n4,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_68])]) ).

fof(f96,plain,
    n4 = sum(n4,n0),
    inference(cnf_transformation,[],[f2]) ).

fof(f793,plain,
    spl62_67,
    inference(avatar_split_clause,[],[f317,f790]) ).

fof(f790,plain,
    ( spl62_67
  <=> n9 = sum(n14,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_67])]) ).

fof(f317,plain,
    n9 = sum(n14,n11),
    inference(cnf_transformation,[],[f2]) ).

fof(f788,plain,
    spl62_66,
    inference(avatar_split_clause,[],[f270,f785]) ).

fof(f785,plain,
    ( spl62_66
  <=> n5 = sum(n10,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_66])]) ).

fof(f270,plain,
    n5 = sum(n10,n11),
    inference(cnf_transformation,[],[f2]) ).

fof(f783,plain,
    spl62_65,
    inference(avatar_split_clause,[],[f63,f780]) ).

fof(f780,plain,
    ( spl62_65
  <=> n11 = sum(n14,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_65])]) ).

fof(f63,plain,
    n11 = sum(n14,n13),
    inference(cnf_transformation,[],[f2]) ).

fof(f778,plain,
    spl62_64,
    inference(avatar_split_clause,[],[f117,f775]) ).

fof(f775,plain,
    ( spl62_64
  <=> n13 = sum(n14,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_64])]) ).

fof(f117,plain,
    n13 = sum(n14,n15),
    inference(cnf_transformation,[],[f2]) ).

fof(f773,plain,
    spl62_63,
    inference(avatar_split_clause,[],[f320,f770]) ).

fof(f770,plain,
    ( spl62_63
  <=> n8 = sum(n7,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_63])]) ).

fof(f320,plain,
    n8 = sum(n7,n1),
    inference(cnf_transformation,[],[f2]) ).

fof(f768,plain,
    ~ spl62_62,
    inference(avatar_split_clause,[],[f299,f765]) ).

fof(f765,plain,
    ( spl62_62
  <=> n6 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_62])]) ).

fof(f299,plain,
    n6 != n10,
    inference(cnf_transformation,[],[f2]) ).

fof(f763,plain,
    ~ spl62_61,
    inference(avatar_split_clause,[],[f190,f760]) ).

fof(f760,plain,
    ( spl62_61
  <=> n3 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_61])]) ).

fof(f190,plain,
    n3 != n11,
    inference(cnf_transformation,[],[f2]) ).

fof(f758,plain,
    ~ spl62_60,
    inference(avatar_split_clause,[],[f229,f755]) ).

fof(f755,plain,
    ( spl62_60
  <=> n0 = n4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_60])]) ).

fof(f229,plain,
    n0 != n4,
    inference(cnf_transformation,[],[f2]) ).

fof(f753,plain,
    ~ spl62_59,
    inference(avatar_split_clause,[],[f400,f750]) ).

fof(f750,plain,
    ( spl62_59
  <=> n10 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_59])]) ).

fof(f400,plain,
    n10 != n12,
    inference(cnf_transformation,[],[f2]) ).

fof(f748,plain,
    spl62_58,
    inference(avatar_split_clause,[],[f346,f745]) ).

fof(f745,plain,
    ( spl62_58
  <=> n13 = sum(n4,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_58])]) ).

fof(f346,plain,
    n13 = sum(n4,n9),
    inference(cnf_transformation,[],[f2]) ).

fof(f743,plain,
    ~ spl62_57,
    inference(avatar_split_clause,[],[f442,f740]) ).

fof(f740,plain,
    ( spl62_57
  <=> n12 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_57])]) ).

fof(f442,plain,
    n12 != n13,
    inference(cnf_transformation,[],[f2]) ).

fof(f738,plain,
    spl62_56,
    inference(avatar_split_clause,[],[f246,f735]) ).

fof(f735,plain,
    ( spl62_56
  <=> n2 = sum(n0,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_56])]) ).

fof(f246,plain,
    n2 = sum(n0,n2),
    inference(cnf_transformation,[],[f2]) ).

fof(f733,plain,
    spl62_55,
    inference(avatar_split_clause,[],[f139,f730]) ).

fof(f730,plain,
    ( spl62_55
  <=> n1 = sum(n4,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_55])]) ).

fof(f139,plain,
    n1 = sum(n4,n13),
    inference(cnf_transformation,[],[f2]) ).

fof(f728,plain,
    spl62_54,
    inference(avatar_split_clause,[],[f48,f725]) ).

fof(f725,plain,
    ( spl62_54
  <=> succ(n2) = n3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_54])]) ).

fof(f48,plain,
    succ(n2) = n3,
    inference(cnf_transformation,[],[f2]) ).

fof(f723,plain,
    ~ spl62_53,
    inference(avatar_split_clause,[],[f108,f720]) ).

fof(f720,plain,
    ( spl62_53
  <=> n6 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_53])]) ).

fof(f108,plain,
    n6 != n14,
    inference(cnf_transformation,[],[f2]) ).

fof(f718,plain,
    ~ spl62_52,
    inference(avatar_split_clause,[],[f207,f715]) ).

fof(f715,plain,
    ( spl62_52
  <=> n2 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_52])]) ).

fof(f207,plain,
    n2 != n10,
    inference(cnf_transformation,[],[f2]) ).

fof(f713,plain,
    spl62_51,
    inference(avatar_split_clause,[],[f58,f710]) ).

fof(f710,plain,
    ( spl62_51
  <=> n1 = sum(n12,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_51])]) ).

fof(f58,plain,
    n1 = sum(n12,n5),
    inference(cnf_transformation,[],[f2]) ).

fof(f708,plain,
    ~ spl62_50,
    inference(avatar_split_clause,[],[f125,f705]) ).

fof(f705,plain,
    ( spl62_50
  <=> n7 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_50])]) ).

fof(f125,plain,
    n7 != n14,
    inference(cnf_transformation,[],[f2]) ).

fof(f703,plain,
    spl62_49,
    inference(avatar_split_clause,[],[f417,f700]) ).

fof(f700,plain,
    ( spl62_49
  <=> pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK22)))))))))))))))) = sK24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_49])]) ).

fof(f417,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK22)))))))))))))))) = sK24,
    inference(cnf_transformation,[],[f2]) ).

fof(f698,plain,
    spl62_48,
    inference(avatar_split_clause,[],[f273,f695]) ).

fof(f695,plain,
    ( spl62_48
  <=> n2 = sum(n8,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_48])]) ).

fof(f273,plain,
    n2 = sum(n8,n10),
    inference(cnf_transformation,[],[f2]) ).

fof(f693,plain,
    ~ spl62_47,
    inference(avatar_split_clause,[],[f203,f690]) ).

fof(f690,plain,
    ( spl62_47
  <=> n9 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_47])]) ).

fof(f203,plain,
    n9 != n15,
    inference(cnf_transformation,[],[f2]) ).

fof(f688,plain,
    spl62_46,
    inference(avatar_split_clause,[],[f60,f685]) ).

fof(f685,plain,
    ( spl62_46
  <=> n14 = sum(n0,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_46])]) ).

fof(f60,plain,
    n14 = sum(n0,n14),
    inference(cnf_transformation,[],[f2]) ).

fof(f683,plain,
    spl62_45,
    inference(avatar_split_clause,[],[f111,f680]) ).

fof(f680,plain,
    ( spl62_45
  <=> pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK6)))))))))))))))) = sK11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_45])]) ).

fof(f111,plain,
    pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK6)))))))))))))))) = sK11,
    inference(cnf_transformation,[],[f2]) ).

fof(f678,plain,
    ~ spl62_44,
    inference(avatar_split_clause,[],[f459,f675]) ).

fof(f675,plain,
    ( spl62_44
  <=> n8 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_44])]) ).

fof(f459,plain,
    n8 != n10,
    inference(cnf_transformation,[],[f2]) ).

fof(f673,plain,
    spl62_43,
    inference(avatar_split_clause,[],[f372,f670]) ).

fof(f670,plain,
    ( spl62_43
  <=> n15 = sum(n14,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_43])]) ).

fof(f372,plain,
    n15 = sum(n14,n1),
    inference(cnf_transformation,[],[f2]) ).

fof(f668,plain,
    ~ spl62_42,
    inference(avatar_split_clause,[],[f161,f665]) ).

fof(f665,plain,
    ( spl62_42
  <=> n0 = n1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_42])]) ).

fof(f161,plain,
    n0 != n1,
    inference(cnf_transformation,[],[f2]) ).

fof(f663,plain,
    ~ spl62_41,
    inference(avatar_split_clause,[],[f266,f660]) ).

fof(f660,plain,
    ( spl62_41
  <=> n1 = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_41])]) ).

fof(f266,plain,
    n1 != n7,
    inference(cnf_transformation,[],[f2]) ).

fof(f658,plain,
    spl62_40,
    inference(avatar_split_clause,[],[f252,f655]) ).

fof(f655,plain,
    ( spl62_40
  <=> n13 = sum(n12,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_40])]) ).

fof(f252,plain,
    n13 = sum(n12,n1),
    inference(cnf_transformation,[],[f2]) ).

fof(f653,plain,
    ~ spl62_39,
    inference(avatar_split_clause,[],[f36,f650]) ).

fof(f650,plain,
    ( spl62_39
  <=> n1 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_39])]) ).

fof(f36,plain,
    n1 != n11,
    inference(cnf_transformation,[],[f2]) ).

fof(f648,plain,
    spl62_38,
    inference(avatar_split_clause,[],[f120,f645]) ).

fof(f645,plain,
    ( spl62_38
  <=> n10 = sum(n3,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_38])]) ).

fof(f120,plain,
    n10 = sum(n3,n7),
    inference(cnf_transformation,[],[f2]) ).

fof(f643,plain,
    ~ spl62_37,
    inference(avatar_split_clause,[],[f200,f640]) ).

fof(f640,plain,
    ( spl62_37
  <=> n6 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_37])]) ).

fof(f200,plain,
    n6 != n11,
    inference(cnf_transformation,[],[f2]) ).

fof(f638,plain,
    spl62_36,
    inference(avatar_split_clause,[],[f170,f635]) ).

fof(f635,plain,
    ( spl62_36
  <=> sK31 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK51)))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_36])]) ).

fof(f170,plain,
    sK31 = pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(pred(sK51)))))))))))))))),
    inference(cnf_transformation,[],[f2]) ).

fof(f633,plain,
    spl62_35,
    inference(avatar_split_clause,[],[f154,f630]) ).

fof(f630,plain,
    ( spl62_35
  <=> n0 = sum(n14,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_35])]) ).

fof(f154,plain,
    n0 = sum(n14,n2),
    inference(cnf_transformation,[],[f2]) ).

fof(f628,plain,
    spl62_34,
    inference(avatar_split_clause,[],[f71,f625]) ).

fof(f625,plain,
    ( spl62_34
  <=> n6 = sum(n11,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_34])]) ).

fof(f71,plain,
    n6 = sum(n11,n11),
    inference(cnf_transformation,[],[f2]) ).

fof(f623,plain,
    spl62_33,
    inference(avatar_split_clause,[],[f69,f620]) ).

fof(f620,plain,
    ( spl62_33
  <=> n6 = sum(n13,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_33])]) ).

fof(f69,plain,
    n6 = sum(n13,n9),
    inference(cnf_transformation,[],[f2]) ).

fof(f618,plain,
    spl62_32,
    inference(avatar_split_clause,[],[f368,f615]) ).

fof(f615,plain,
    ( spl62_32
  <=> sK42 = sum(pred(sK52),sum(succ(sK55),sum(pred(sK49),succ(sK43)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_32])]) ).

fof(f368,plain,
    sK42 = sum(pred(sK52),sum(succ(sK55),sum(pred(sK49),succ(sK43)))),
    inference(cnf_transformation,[],[f2]) ).

fof(f613,plain,
    spl62_31,
    inference(avatar_split_clause,[],[f313,f610]) ).

fof(f610,plain,
    ( spl62_31
  <=> n11 = sum(n11,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_31])]) ).

fof(f313,plain,
    n11 = sum(n11,n0),
    inference(cnf_transformation,[],[f2]) ).

fof(f608,plain,
    spl62_30,
    inference(avatar_split_clause,[],[f144,f605]) ).

fof(f605,plain,
    ( spl62_30
  <=> n5 = sum(n0,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_30])]) ).

fof(f144,plain,
    n5 = sum(n0,n5),
    inference(cnf_transformation,[],[f2]) ).

fof(f603,plain,
    spl62_29,
    inference(avatar_split_clause,[],[f176,f600]) ).

fof(f600,plain,
    ( spl62_29
  <=> n1 = sum(n10,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_29])]) ).

fof(f176,plain,
    n1 = sum(n10,n7),
    inference(cnf_transformation,[],[f2]) ).

fof(f598,plain,
    spl62_28,
    inference(avatar_split_clause,[],[f143,f595]) ).

fof(f595,plain,
    ( spl62_28
  <=> n15 = sum(n11,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_28])]) ).

fof(f143,plain,
    n15 = sum(n11,n4),
    inference(cnf_transformation,[],[f2]) ).

fof(f593,plain,
    spl62_27,
    inference(avatar_split_clause,[],[f353,f590]) ).

fof(f590,plain,
    ( spl62_27
  <=> n12 = sum(n8,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_27])]) ).

fof(f353,plain,
    n12 = sum(n8,n4),
    inference(cnf_transformation,[],[f2]) ).

fof(f588,plain,
    ~ spl62_26,
    inference(avatar_split_clause,[],[f142,f585]) ).

fof(f585,plain,
    ( spl62_26
  <=> n0 = n3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_26])]) ).

fof(f142,plain,
    n0 != n3,
    inference(cnf_transformation,[],[f2]) ).

fof(f583,plain,
    spl62_25,
    inference(avatar_split_clause,[],[f147,f580]) ).

fof(f580,plain,
    ( spl62_25
  <=> n8 = sum(n2,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_25])]) ).

fof(f147,plain,
    n8 = sum(n2,n6),
    inference(cnf_transformation,[],[f2]) ).

fof(f578,plain,
    ~ spl62_24,
    inference(avatar_split_clause,[],[f233,f575]) ).

fof(f575,plain,
    ( spl62_24
  <=> n3 = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_24])]) ).

fof(f233,plain,
    n3 != n7,
    inference(cnf_transformation,[],[f2]) ).

fof(f573,plain,
    ~ spl62_23,
    inference(avatar_split_clause,[],[f348,f570]) ).

fof(f570,plain,
    ( spl62_23
  <=> n3 = n4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_23])]) ).

fof(f348,plain,
    n3 != n4,
    inference(cnf_transformation,[],[f2]) ).

fof(f568,plain,
    spl62_22,
    inference(avatar_split_clause,[],[f54,f565]) ).

fof(f565,plain,
    ( spl62_22
  <=> n15 = sum(n9,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_22])]) ).

fof(f54,plain,
    n15 = sum(n9,n6),
    inference(cnf_transformation,[],[f2]) ).

fof(f563,plain,
    spl62_21,
    inference(avatar_split_clause,[],[f163,f560]) ).

fof(f560,plain,
    ( spl62_21
  <=> n4 = sum(n5,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_21])]) ).

fof(f163,plain,
    n4 = sum(n5,n15),
    inference(cnf_transformation,[],[f2]) ).

fof(f558,plain,
    spl62_20,
    inference(avatar_split_clause,[],[f174,f555]) ).

fof(f555,plain,
    ( spl62_20
  <=> n6 = sum(n14,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_20])]) ).

fof(f174,plain,
    n6 = sum(n14,n8),
    inference(cnf_transformation,[],[f2]) ).

fof(f553,plain,
    ~ spl62_19,
    inference(avatar_split_clause,[],[f240,f550]) ).

fof(f550,plain,
    ( spl62_19
  <=> n0 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_19])]) ).

fof(f240,plain,
    n0 != n10,
    inference(cnf_transformation,[],[f2]) ).

fof(f548,plain,
    ( spl62_3
    | spl62_4
    | spl62_5
    | spl62_6
    | spl62_7
    | spl62_8
    | spl62_9
    | spl62_10
    | spl62_11
    | spl62_12
    | spl62_13
    | spl62_14
    | spl62_15
    | spl62_16
    | spl62_17
    | spl62_18 ),
    inference(avatar_split_clause,[],[f4,f545,f541,f537,f533,f529,f525,f521,f517,f513,f509,f505,f501,f497,f493,f489,f485]) ).

fof(f485,plain,
    ( spl62_3
  <=> n14 = sK22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_3])]) ).

fof(f489,plain,
    ( spl62_4
  <=> n8 = sK22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_4])]) ).

fof(f493,plain,
    ( spl62_5
  <=> n10 = sK22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_5])]) ).

fof(f497,plain,
    ( spl62_6
  <=> n2 = sK22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_6])]) ).

fof(f501,plain,
    ( spl62_7
  <=> n12 = sK22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_7])]) ).

fof(f505,plain,
    ( spl62_8
  <=> n15 = sK22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_8])]) ).

fof(f509,plain,
    ( spl62_9
  <=> n11 = sK22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_9])]) ).

fof(f513,plain,
    ( spl62_10
  <=> n1 = sK22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_10])]) ).

fof(f517,plain,
    ( spl62_11
  <=> n13 = sK22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_11])]) ).

fof(f521,plain,
    ( spl62_12
  <=> n6 = sK22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_12])]) ).

fof(f525,plain,
    ( spl62_13
  <=> n7 = sK22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_13])]) ).

fof(f529,plain,
    ( spl62_14
  <=> n3 = sK22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_14])]) ).

fof(f533,plain,
    ( spl62_15
  <=> n9 = sK22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_15])]) ).

fof(f537,plain,
    ( spl62_16
  <=> n4 = sK22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_16])]) ).

fof(f541,plain,
    ( spl62_17
  <=> n0 = sK22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_17])]) ).

fof(f545,plain,
    ( spl62_18
  <=> n5 = sK22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_18])]) ).

fof(f4,plain,
    ( n5 = sK22
    | n0 = sK22
    | n4 = sK22
    | n9 = sK22
    | n3 = sK22
    | n7 = sK22
    | n6 = sK22
    | n13 = sK22
    | n1 = sK22
    | n11 = sK22
    | n15 = sK22
    | n12 = sK22
    | n2 = sK22
    | n10 = sK22
    | n8 = sK22
    | n14 = sK22 ),
    inference(cnf_transformation,[],[f2]) ).

fof(f483,plain,
    spl62_2,
    inference(avatar_split_clause,[],[f118,f480]) ).

fof(f480,plain,
    ( spl62_2
  <=> n5 = sum(n3,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_2])]) ).

fof(f118,plain,
    n5 = sum(n3,n2),
    inference(cnf_transformation,[],[f2]) ).

fof(f478,plain,
    spl62_1,
    inference(avatar_split_clause,[],[f109,f475]) ).

fof(f475,plain,
    ( spl62_1
  <=> n4 = sum(n11,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl62_1])]) ).

fof(f109,plain,
    n4 = sum(n11,n9),
    inference(cnf_transformation,[],[f2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : NUM378+1.015.010 : TPTP v8.1.0. Released v3.2.0.
% 0.14/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35  % Computer : n014.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 06:28:18 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.57  % (11110)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)
% 0.21/0.57  % (11118)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.37/0.60  % (11106)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)
% 1.76/0.62  % (11116)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.76/0.63  % (11111)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)
% 1.76/0.63  % (11105)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)
% 1.76/0.63  % (11124)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)
% 1.76/0.63  % (11128)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.76/0.63  % (11120)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.76/0.64  % (11115)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.76/0.64  % (11110)Instruction limit reached!
% 1.76/0.64  % (11110)------------------------------
% 1.76/0.64  % (11110)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.65  % (11112)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.76/0.65  % (11110)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.65  % (11110)Termination reason: Unknown
% 1.76/0.65  % (11110)Termination phase: Saturation
% 1.76/0.65  
% 1.76/0.65  % (11110)Memory used [KB]: 6780
% 1.76/0.65  % (11110)Time elapsed: 0.167 s
% 1.76/0.65  % (11110)Instructions burned: 49 (million)
% 1.76/0.65  % (11110)------------------------------
% 1.76/0.65  % (11110)------------------------------
% 1.76/0.66  % (11109)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.76/0.66  % (11108)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)
% 1.76/0.66  % (11114)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)
% 1.76/0.66  % (11134)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.76/0.67  % (11127)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)
% 2.18/0.67  % (11131)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)
% 2.18/0.67  % (11112)Instruction limit reached!
% 2.18/0.67  % (11112)------------------------------
% 2.18/0.67  % (11112)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.67  % (11112)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.67  % (11112)Termination reason: Unknown
% 2.18/0.67  % (11112)Termination phase: Preprocessing 3
% 2.18/0.67  
% 2.18/0.67  % (11112)Memory used [KB]: 1407
% 2.18/0.67  % (11112)Time elapsed: 0.008 s
% 2.18/0.67  % (11112)Instructions burned: 8 (million)
% 2.18/0.67  % (11112)------------------------------
% 2.18/0.67  % (11112)------------------------------
% 2.18/0.67  % (11122)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 2.18/0.67  % (11121)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)
% 2.18/0.68  % (11106)Instruction limit reached!
% 2.18/0.68  % (11106)------------------------------
% 2.18/0.68  % (11106)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.68  % (11106)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.68  % (11106)Termination reason: Unknown
% 2.18/0.68  % (11106)Termination phase: Saturation
% 2.18/0.68  
% 2.18/0.68  % (11106)Memory used [KB]: 6652
% 2.18/0.68  % (11106)Time elapsed: 0.034 s
% 2.18/0.68  % (11106)Instructions burned: 50 (million)
% 2.18/0.68  % (11106)------------------------------
% 2.18/0.68  % (11106)------------------------------
% 2.18/0.68  % (11119)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)
% 2.18/0.68  % (11118)Instruction limit reached!
% 2.18/0.68  % (11118)------------------------------
% 2.18/0.68  % (11118)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.68  % (11118)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.68  % (11118)Termination reason: Unknown
% 2.18/0.68  % (11118)Termination phase: Saturation
% 2.18/0.68  
% 2.18/0.68  % (11118)Memory used [KB]: 7036
% 2.18/0.68  % (11118)Time elapsed: 0.208 s
% 2.18/0.68  % (11118)Instructions burned: 99 (million)
% 2.18/0.68  % (11113)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 2.18/0.68  % (11118)------------------------------
% 2.18/0.68  % (11118)------------------------------
% 2.18/0.68  % (11132)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)
% 2.18/0.68  % (11113)Instruction limit reached!
% 2.18/0.68  % (11113)------------------------------
% 2.18/0.68  % (11113)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.68  % (11113)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.68  % (11113)Termination reason: Unknown
% 2.18/0.68  % (11113)Termination phase: shuffling
% 2.18/0.68  
% 2.18/0.68  % (11113)Memory used [KB]: 1151
% 2.18/0.68  % (11113)Time elapsed: 0.003 s
% 2.18/0.68  % (11113)Instructions burned: 3 (million)
% 2.18/0.68  % (11113)------------------------------
% 2.18/0.68  % (11113)------------------------------
% 2.18/0.68  % (11130)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 2.18/0.68  % (11123)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.18/0.69  % (11129)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 2.18/0.71  % (11117)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 2.18/0.74  % (11107)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)
% 2.18/0.74  % (11111)Instruction limit reached!
% 2.18/0.74  % (11111)------------------------------
% 2.18/0.74  % (11111)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.74  % (11111)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.74  % (11111)Termination reason: Unknown
% 2.18/0.74  % (11111)Termination phase: Finite model building preprocessing
% 2.18/0.74  
% 2.18/0.74  % (11111)Memory used [KB]: 3326
% 2.18/0.74  % (11111)Time elapsed: 0.035 s
% 2.18/0.74  % (11111)Instructions burned: 51 (million)
% 2.18/0.74  % (11111)------------------------------
% 2.18/0.74  % (11111)------------------------------
% 2.18/0.75  % (11125)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)
% 2.18/0.75  % (11133)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 2.75/0.77  % (11126)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 2.75/0.77  % (11167)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 2.75/0.77  % (11115)Instruction limit reached!
% 2.75/0.77  % (11115)------------------------------
% 2.75/0.77  % (11115)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.75/0.77  % (11115)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.75/0.77  % (11115)Termination reason: Unknown
% 2.75/0.77  % (11115)Termination phase: Saturation
% 2.75/0.77  
% 2.75/0.77  % (11115)Memory used [KB]: 6652
% 2.75/0.77  % (11115)Time elapsed: 0.038 s
% 2.75/0.77  % (11115)Instructions burned: 51 (million)
% 2.75/0.77  % (11115)------------------------------
% 2.75/0.77  % (11115)------------------------------
% 2.75/0.78  % (11114)Instruction limit reached!
% 2.75/0.78  % (11114)------------------------------
% 2.75/0.78  % (11114)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.75/0.78  % (11114)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.75/0.78  % (11114)Termination reason: Unknown
% 2.75/0.78  % (11114)Termination phase: Saturation
% 2.75/0.78  
% 2.75/0.78  % (11114)Memory used [KB]: 2174
% 2.75/0.78  % (11114)Time elapsed: 0.293 s
% 2.75/0.78  % (11114)Instructions burned: 52 (million)
% 2.75/0.78  % (11114)------------------------------
% 2.75/0.78  % (11114)------------------------------
% 2.75/0.78  % (11109)Instruction limit reached!
% 2.75/0.78  % (11109)------------------------------
% 2.75/0.78  % (11109)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.75/0.78  % (11109)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.75/0.78  % (11109)Termination reason: Unknown
% 2.75/0.78  % (11109)Termination phase: Saturation
% 2.75/0.78  
% 2.75/0.78  % (11109)Memory used [KB]: 6524
% 2.75/0.78  % (11109)Time elapsed: 0.039 s
% 2.75/0.78  % (11109)Instructions burned: 52 (million)
% 2.75/0.78  % (11109)------------------------------
% 2.75/0.78  % (11109)------------------------------
% 2.89/0.79  % (11124)Instruction limit reached!
% 2.89/0.79  % (11124)------------------------------
% 2.89/0.79  % (11124)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.89/0.79  % (11124)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.89/0.79  % (11124)Termination reason: Unknown
% 2.89/0.79  % (11124)Termination phase: Saturation
% 2.89/0.79  
% 2.89/0.79  % (11124)Memory used [KB]: 2046
% 2.89/0.79  % (11124)Time elapsed: 0.305 s
% 2.89/0.79  % (11124)Instructions burned: 101 (million)
% 2.89/0.79  % (11124)------------------------------
% 2.89/0.79  % (11124)------------------------------
% 2.89/0.80  % (11108)Instruction limit reached!
% 2.89/0.80  % (11108)------------------------------
% 2.89/0.80  % (11108)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.89/0.80  % (11108)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.89/0.80  % (11108)Termination reason: Unknown
% 2.89/0.80  % (11108)Termination phase: Saturation
% 2.89/0.80  
% 2.89/0.80  % (11108)Memory used [KB]: 6652
% 2.89/0.80  % (11108)Time elapsed: 0.326 s
% 2.89/0.80  % (11108)Instructions burned: 51 (million)
% 2.89/0.80  % (11108)------------------------------
% 2.89/0.80  % (11108)------------------------------
% 2.89/0.80  % (11116)Instruction limit reached!
% 2.89/0.80  % (11116)------------------------------
% 2.89/0.80  % (11116)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.89/0.80  % (11116)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.89/0.80  % (11116)Termination reason: Unknown
% 2.89/0.80  % (11116)Termination phase: Saturation
% 2.89/0.80  
% 2.89/0.80  % (11116)Memory used [KB]: 7164
% 2.89/0.80  % (11116)Time elapsed: 0.330 s
% 2.89/0.80  % (11116)Instructions burned: 100 (million)
% 2.89/0.80  % (11116)------------------------------
% 2.89/0.80  % (11116)------------------------------
% 2.89/0.80  % (11122)Instruction limit reached!
% 2.89/0.80  % (11122)------------------------------
% 2.89/0.80  % (11122)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.89/0.80  % (11122)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.89/0.80  % (11122)Termination reason: Unknown
% 2.89/0.80  % (11122)Termination phase: Finite model building preprocessing
% 2.89/0.80  
% 2.89/0.80  % (11122)Memory used [KB]: 3582
% 2.89/0.80  % (11122)Time elapsed: 0.039 s
% 2.89/0.80  % (11122)Instructions burned: 59 (million)
% 2.89/0.80  % (11122)------------------------------
% 2.89/0.80  % (11122)------------------------------
% 2.89/0.82  % (11171)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/920Mi)
% 2.89/0.82  % (11120)Instruction limit reached!
% 2.89/0.82  % (11120)------------------------------
% 2.89/0.82  % (11120)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.89/0.82  % (11120)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.89/0.82  % (11120)Termination reason: Unknown
% 2.89/0.82  % (11120)Termination phase: Saturation
% 2.89/0.82  
% 2.89/0.82  % (11120)Memory used [KB]: 2174
% 2.89/0.82  % (11120)Time elapsed: 0.299 s
% 2.89/0.82  % (11120)Instructions burned: 76 (million)
% 2.89/0.82  % (11120)------------------------------
% 2.89/0.82  % (11120)------------------------------
% 3.22/0.84  % (11119)Instruction limit reached!
% 3.22/0.84  % (11119)------------------------------
% 3.22/0.84  % (11119)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.22/0.84  % (11119)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.22/0.84  % (11119)Termination reason: Unknown
% 3.22/0.84  % (11119)Termination phase: Saturation
% 3.22/0.84  
% 3.22/0.84  % (11119)Memory used [KB]: 7291
% 3.22/0.84  % (11119)Time elapsed: 0.051 s
% 3.22/0.84  % (11119)Instructions burned: 69 (million)
% 3.22/0.84  % (11119)------------------------------
% 3.22/0.84  % (11119)------------------------------
% 3.22/0.85  % (11107)Instruction limit reached!
% 3.22/0.85  % (11107)------------------------------
% 3.22/0.85  % (11107)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.22/0.85  % (11107)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.22/0.85  % (11107)Termination reason: Unknown
% 3.22/0.85  % (11107)Termination phase: Saturation
% 3.22/0.85  
% 3.22/0.85  % (11107)Memory used [KB]: 1918
% 3.22/0.85  % (11107)Time elapsed: 0.376 s
% 3.22/0.85  % (11107)Instructions burned: 37 (million)
% 3.22/0.85  % (11107)------------------------------
% 3.22/0.85  % (11107)------------------------------
% 3.22/0.85  % (11131)Instruction limit reached!
% 3.22/0.85  % (11131)------------------------------
% 3.22/0.85  % (11131)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.22/0.85  % (11131)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.22/0.85  % (11131)Termination reason: Unknown
% 3.22/0.85  % (11131)Termination phase: Saturation
% 3.22/0.85  
% 3.22/0.85  % (11131)Memory used [KB]: 7291
% 3.22/0.85  % (11131)Time elapsed: 0.051 s
% 3.22/0.85  % (11131)Instructions burned: 68 (million)
% 3.22/0.85  % (11131)------------------------------
% 3.22/0.85  % (11131)------------------------------
% 3.22/0.86  % (11170)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 3.22/0.89  % (11123)Instruction limit reached!
% 3.22/0.89  % (11123)------------------------------
% 3.22/0.89  % (11123)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.22/0.89  % (11123)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.22/0.89  % (11123)Termination reason: Unknown
% 3.22/0.89  % (11123)Termination phase: Saturation
% 3.22/0.89  
% 3.22/0.89  % (11123)Memory used [KB]: 6908
% 3.22/0.89  % (11123)Time elapsed: 0.070 s
% 3.22/0.89  % (11123)Instructions burned: 100 (million)
% 3.22/0.89  % (11123)------------------------------
% 3.22/0.89  % (11123)------------------------------
% 3.49/0.93  % (11172)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/934Mi)
% 3.49/0.95  % (11121)Instruction limit reached!
% 3.49/0.95  % (11121)------------------------------
% 3.49/0.95  % (11121)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.49/0.95  % (11121)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.49/0.95  % (11121)Termination reason: Unknown
% 3.49/0.95  % (11121)Termination phase: Saturation
% 3.49/0.95  
% 3.49/0.95  % (11121)Memory used [KB]: 7036
% 3.49/0.95  % (11121)Time elapsed: 0.462 s
% 3.49/0.95  % (11121)Instructions burned: 99 (million)
% 3.49/0.95  % (11121)------------------------------
% 3.49/0.95  % (11121)------------------------------
% 3.49/0.95  % (11168)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)
% 3.49/0.96  TRYING [16]
% 3.67/0.97  % (11178)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)
% 3.67/0.98  % (11176)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)
% 3.67/0.98  % (11117)Instruction limit reached!
% 3.67/0.98  % (11117)------------------------------
% 3.67/0.98  % (11117)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.67/0.98  % (11117)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.67/0.98  % (11117)Termination reason: Unknown
% 3.67/0.98  % (11117)Termination phase: Saturation
% 3.67/0.98  
% 3.67/0.98  % (11117)Memory used [KB]: 7164
% 3.67/0.98  % (11117)Time elapsed: 0.493 s
% 3.67/0.98  % (11117)Instructions burned: 102 (million)
% 3.67/0.98  % (11117)------------------------------
% 3.67/0.98  % (11117)------------------------------
% 3.67/0.98  % (11181)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2016Mi)
% 3.67/0.98  % (11177)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)
% 3.67/0.99  % (11174)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/747Mi)
% 3.67/1.03  % (11180)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)
% 3.67/1.04  WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 3.67/1.04  % (11132)Instruction limit reached!
% 3.67/1.04  % (11132)------------------------------
% 3.67/1.04  % (11132)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.67/1.04  % (11132)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.67/1.04  % (11132)Termination reason: Unknown
% 3.67/1.04  % (11132)Termination phase: Saturation
% 3.67/1.04  
% 3.67/1.04  % (11132)Memory used [KB]: 2302
% 3.67/1.04  % (11132)Time elapsed: 0.547 s
% 3.67/1.04  % (11132)Instructions burned: 179 (million)
% 3.67/1.04  % (11132)------------------------------
% 3.67/1.04  % (11132)------------------------------
% 3.67/1.04  % (11179)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)
% 3.67/1.04  % (11170)Instruction limit reached!
% 3.67/1.04  % (11170)------------------------------
% 3.67/1.04  % (11170)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.67/1.04  % (11170)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.67/1.04  % (11170)Termination reason: Unknown
% 3.67/1.04  % (11170)Termination phase: Saturation
% 3.67/1.04  
% 3.67/1.04  % (11170)Memory used [KB]: 7036
% 3.67/1.04  % (11170)Time elapsed: 0.285 s
% 3.67/1.04  % (11170)Instructions burned: 90 (million)
% 3.67/1.04  % (11170)------------------------------
% 3.67/1.04  % (11170)------------------------------
% 3.67/1.04  % (11184)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/3735Mi)
% 4.00/1.06  % (11126)Instruction limit reached!
% 4.00/1.06  % (11126)------------------------------
% 4.00/1.06  % (11126)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.00/1.06  % (11126)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.00/1.06  % (11126)Termination reason: Unknown
% 4.00/1.06  % (11126)Termination phase: Saturation
% 4.00/1.06  
% 4.00/1.06  % (11126)Memory used [KB]: 7036
% 4.00/1.06  % (11126)Time elapsed: 0.092 s
% 4.00/1.06  % (11126)Instructions burned: 138 (million)
% 4.00/1.06  % (11126)------------------------------
% 4.00/1.06  % (11126)------------------------------
% 4.00/1.07  % (11195)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)
% 4.09/1.09  % (11187)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4959Mi)
% 4.09/1.10  % (11177)Instruction limit reached!
% 4.09/1.10  % (11177)------------------------------
% 4.09/1.10  % (11177)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.09/1.10  % (11177)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.09/1.10  % (11177)Termination reason: Unknown
% 4.09/1.10  % (11177)Termination phase: Saturation
% 4.09/1.10  
% 4.09/1.10  % (11177)Memory used [KB]: 7291
% 4.09/1.10  % (11177)Time elapsed: 0.048 s
% 4.09/1.10  % (11177)Instructions burned: 68 (million)
% 4.09/1.10  % (11177)------------------------------
% 4.09/1.10  % (11177)------------------------------
% 5.87/1.14  % (11185)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 (2995ds/4958Mi)
% 5.87/1.14  % (11190)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4931Mi)
% 5.87/1.14  % (11204)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)
% 6.00/1.16  % (11188)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4756Mi)
% 6.00/1.17  % (11125)Instruction limit reached!
% 6.00/1.17  % (11125)------------------------------
% 6.00/1.17  % (11125)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.00/1.17  % (11125)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.00/1.17  % (11125)Termination reason: Unknown
% 6.00/1.17  % (11125)Termination phase: Saturation
% 6.00/1.17  
% 6.00/1.17  % (11125)Memory used [KB]: 7291
% 6.00/1.17  % (11125)Time elapsed: 0.115 s
% 6.00/1.17  % (11125)Instructions burned: 177 (million)
% 6.00/1.17  % (11125)------------------------------
% 6.00/1.17  % (11125)------------------------------
% 6.00/1.18  % (11195)Instruction limit reached!
% 6.00/1.18  % (11195)------------------------------
% 6.00/1.18  % (11195)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.00/1.18  % (11195)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.00/1.18  % (11195)Termination reason: Unknown
% 6.00/1.18  % (11195)Termination phase: Saturation
% 6.00/1.18  
% 6.00/1.18  % (11195)Memory used [KB]: 7291
% 6.00/1.18  % (11195)Time elapsed: 0.038 s
% 6.00/1.18  % (11195)Instructions burned: 70 (million)
% 6.00/1.18  % (11195)------------------------------
% 6.00/1.18  % (11195)------------------------------
% 6.00/1.19  % (11180)Instruction limit reached!
% 6.00/1.19  % (11180)------------------------------
% 6.00/1.19  % (11180)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.00/1.19  % (11180)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.00/1.19  % (11180)Termination reason: Unknown
% 6.00/1.19  % (11180)Termination phase: Saturation
% 6.00/1.19  
% 6.00/1.19  % (11180)Memory used [KB]: 7036
% 6.00/1.19  % (11180)Time elapsed: 0.348 s
% 6.00/1.19  % (11180)Instructions burned: 92 (million)
% 6.00/1.19  % (11180)------------------------------
% 6.00/1.19  % (11180)------------------------------
% 6.00/1.19  % (11208)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/2891Mi)
% 6.00/1.20  % (11209)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/4585Mi)
% 6.00/1.21  % (11200)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/1824Mi)
% 6.00/1.22  % (11210)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 (2993ds/90Mi)
% 6.58/1.23  % (11211)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)
% 6.88/1.27  % (11234)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/8004Mi)
% 6.88/1.31  % (11237)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)
% 6.88/1.33  % (11167)Instruction limit reached!
% 6.88/1.33  % (11167)------------------------------
% 6.88/1.33  % (11167)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.88/1.33  % (11167)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.88/1.33  % (11167)Termination reason: Unknown
% 6.88/1.33  % (11167)Termination phase: Saturation
% 6.88/1.33  
% 6.88/1.33  % (11167)Memory used [KB]: 8059
% 6.88/1.33  % (11167)Time elapsed: 0.566 s
% 6.88/1.33  % (11167)Instructions burned: 388 (million)
% 6.88/1.33  % (11167)------------------------------
% 6.88/1.33  % (11167)------------------------------
% 6.88/1.33  % (11249)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9877Mi)
% 7.39/1.35  % (11168)Instruction limit reached!
% 7.39/1.35  % (11168)------------------------------
% 7.39/1.35  % (11168)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.39/1.35  % (11168)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.39/1.35  % (11168)Termination reason: Unknown
% 7.39/1.35  % (11168)Termination phase: Saturation
% 7.39/1.35  
% 7.39/1.35  % (11168)Memory used [KB]: 2302
% 7.39/1.35  % (11168)Time elapsed: 0.535 s
% 7.39/1.35  % (11168)Instructions burned: 211 (million)
% 7.39/1.35  % (11168)------------------------------
% 7.39/1.35  % (11168)------------------------------
% 7.39/1.36  % (11210)Instruction limit reached!
% 7.39/1.36  % (11210)------------------------------
% 7.39/1.36  % (11210)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.39/1.36  % (11210)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.39/1.36  % (11210)Termination reason: Unknown
% 7.39/1.36  % (11210)Termination phase: Saturation
% 7.39/1.36  
% 7.39/1.36  % (11210)Memory used [KB]: 7036
% 7.39/1.36  % (11210)Time elapsed: 0.262 s
% 7.39/1.36  % (11210)Instructions burned: 91 (million)
% 7.39/1.36  % (11210)------------------------------
% 7.39/1.36  % (11210)------------------------------
% 7.59/1.39  % (11134)Instruction limit reached!
% 7.59/1.39  % (11134)------------------------------
% 7.59/1.39  % (11134)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.59/1.39  % (11134)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.59/1.39  % (11134)Termination reason: Unknown
% 7.59/1.39  % (11134)Termination phase: Saturation
% 7.59/1.39  
% 7.59/1.39  % (11134)Memory used [KB]: 8059
% 7.59/1.39  % (11134)Time elapsed: 0.183 s
% 7.59/1.39  % (11134)Instructions burned: 357 (million)
% 7.59/1.39  % (11134)------------------------------
% 7.59/1.39  % (11134)------------------------------
% 7.97/1.44  % (11133)Instruction limit reached!
% 7.97/1.44  % (11133)------------------------------
% 7.97/1.44  % (11133)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.97/1.44  % (11133)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.97/1.44  % (11133)Termination reason: Unknown
% 7.97/1.44  % (11133)Termination phase: Saturation
% 7.97/1.44  
% 7.97/1.44  % (11133)Memory used [KB]: 8571
% 7.97/1.44  % (11133)Time elapsed: 0.300 s
% 7.97/1.44  % (11133)Instructions burned: 439 (million)
% 7.97/1.44  % (11133)------------------------------
% 7.97/1.44  % (11133)------------------------------
% 7.97/1.45  % (11130)Instruction limit reached!
% 7.97/1.45  % (11130)------------------------------
% 7.97/1.45  % (11130)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.12/1.46  % (11130)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.12/1.46  % (11130)Termination reason: Unknown
% 8.12/1.46  % (11130)Termination phase: Saturation
% 8.12/1.46  
% 8.12/1.46  % (11130)Memory used [KB]: 9594
% 8.12/1.46  % (11130)Time elapsed: 0.967 s
% 8.12/1.46  % (11130)Instructions burned: 500 (million)
% 8.12/1.46  % (11130)------------------------------
% 8.12/1.46  % (11130)------------------------------
% 8.12/1.47  % (11334)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)
% 8.12/1.47  % (11335)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)
% 8.12/1.48  % (11129)Instruction limit reached!
% 8.12/1.48  % (11129)------------------------------
% 8.12/1.48  % (11129)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.12/1.48  % (11129)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.12/1.48  % (11129)Termination reason: Unknown
% 8.12/1.48  % (11129)Termination phase: Saturation
% 8.12/1.48  
% 8.12/1.48  % (11129)Memory used [KB]: 8699
% 8.12/1.48  % (11129)Time elapsed: 0.249 s
% 8.12/1.48  % (11129)Instructions burned: 484 (million)
% 8.12/1.48  % (11129)------------------------------
% 8.12/1.48  % (11129)------------------------------
% 8.12/1.49  % (11340)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/9989Mi)
% 8.12/1.51  % (11128)Instruction limit reached!
% 8.12/1.51  % (11128)------------------------------
% 8.12/1.51  % (11128)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.12/1.51  % (11128)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.12/1.51  % (11128)Termination reason: Unknown
% 8.12/1.51  % (11128)Termination phase: Saturation
% 8.12/1.51  
% 8.12/1.51  % (11128)Memory used [KB]: 8571
% 8.12/1.51  % (11128)Time elapsed: 0.246 s
% 8.12/1.51  % (11128)Instructions burned: 467 (million)
% 8.12/1.51  % (11128)------------------------------
% 8.12/1.51  % (11128)------------------------------
% 8.12/1.51  % (11356)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/9707Mi)
% 8.55/1.55  % (11373)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 (2989ds/90Mi)
% 8.55/1.56  % (11374)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 (2988ds/44001Mi)
% 8.80/1.62  % (11382)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 (2988ds/4958Mi)
% 9.14/1.66  % (11373)Instruction limit reached!
% 9.14/1.66  % (11373)------------------------------
% 9.14/1.66  % (11373)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.14/1.66  % (11373)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.14/1.66  % (11373)Termination reason: Unknown
% 9.14/1.66  % (11373)Termination phase: Saturation
% 9.14/1.66  
% 9.14/1.66  % (11373)Memory used [KB]: 7036
% 9.14/1.66  % (11373)Time elapsed: 0.179 s
% 9.14/1.66  % (11373)Instructions burned: 90 (million)
% 9.14/1.66  % (11373)------------------------------
% 9.14/1.66  % (11373)------------------------------
% 9.14/1.66  % (11127)Instruction limit reached!
% 9.14/1.66  % (11127)------------------------------
% 9.14/1.66  % (11127)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.14/1.66  % (11127)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.14/1.66  % (11127)Termination reason: Unknown
% 9.14/1.66  % (11127)Termination phase: Saturation
% 9.14/1.66  
% 9.14/1.66  % (11127)Memory used [KB]: 4221
% 9.14/1.66  % (11127)Time elapsed: 1.195 s
% 9.14/1.66  % (11127)Instructions burned: 499 (million)
% 9.14/1.66  % (11127)------------------------------
% 9.14/1.66  % (11127)------------------------------
% 9.14/1.67  % (11397)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 (2988ds/35256Mi)
% 10.81/1.80  % (11451)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 (2986ds/37001Mi)
% 10.81/1.81  % (11450)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 (2986ds/32293Mi)
% 11.58/1.91  % (11200)First to succeed.
% 12.15/1.94  % (11176)Instruction limit reached!
% 12.15/1.94  % (11176)------------------------------
% 12.15/1.94  % (11176)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.15/1.94  % (11176)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.15/1.94  % (11176)Termination reason: Unknown
% 12.15/1.94  % (11176)Termination phase: Saturation
% 12.15/1.94  
% 12.15/1.94  % (11176)Memory used [KB]: 9083
% 12.15/1.94  % (11176)Time elapsed: 1.099 s
% 12.15/1.94  % (11176)Instructions burned: 656 (million)
% 12.15/1.94  % (11176)------------------------------
% 12.15/1.94  % (11176)------------------------------
% 12.46/1.97  % (11185)Also succeeded, but the first one will report.
% 12.46/1.97  % (11200)Refutation found. Thanks to Tanya!
% 12.46/1.97  % SZS status Unsatisfiable for theBenchmark
% 12.46/1.97  % SZS output start Proof for theBenchmark
% See solution above
% 12.46/1.98  % (11200)------------------------------
% 12.46/1.98  % (11200)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.46/1.98  % (11200)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.46/1.98  % (11200)Termination reason: Refutation
% 12.46/1.98  
% 12.46/1.98  % (11200)Memory used [KB]: 2814
% 12.46/1.98  % (11200)Time elapsed: 0.224 s
% 12.46/1.98  % (11200)Instructions burned: 611 (million)
% 12.46/1.98  % (11200)------------------------------
% 12.46/1.98  % (11200)------------------------------
% 12.46/1.98  % (11104)Success in time 1.619 s
%------------------------------------------------------------------------------