TSTP Solution File: NUM377+1.015 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : NUM377+1.015 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n004.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 18:04:41 EDT 2022

% Result   : Unsatisfiable 6.08s 1.17s
% Output   : Refutation 6.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :  487
% Syntax   : Number of formulae    : 1373 ( 877 unt;   0 def)
%            Number of atoms       : 4851 (3880 equ)
%            Maximal formula atoms :  970 (   3 avg)
%            Number of connectives : 4558 (1080   ~; 352   |;2640   &)
%                                         ( 485 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  479 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :  487 ( 485 usr; 486 prp; 0-2 aty)
%            Number of functors    :   51 (  51 usr;  48 con; 0-2 aty)
%            Number of variables   :  128 (   0   !; 128   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2828,plain,
    $false,
    inference(avatar_smt_refutation,[],[f451,f456,f461,f466,f471,f476,f481,f486,f491,f496,f501,f506,f511,f516,f521,f526,f531,f536,f541,f546,f551,f556,f561,f566,f571,f632,f637,f642,f647,f652,f657,f662,f667,f672,f677,f682,f687,f692,f697,f702,f707,f712,f717,f722,f727,f732,f737,f742,f747,f752,f757,f762,f767,f772,f777,f782,f787,f792,f797,f802,f807,f812,f817,f822,f827,f832,f837,f842,f847,f852,f857,f862,f867,f872,f877,f882,f887,f892,f897,f902,f907,f912,f917,f982,f987,f992,f997,f1002,f1007,f1012,f1017,f1022,f1027,f1032,f1037,f1042,f1047,f1052,f1057,f1062,f1067,f1072,f1077,f1082,f1087,f1092,f1097,f1102,f1107,f1112,f1117,f1122,f1127,f1132,f1137,f1142,f1147,f1152,f1157,f1162,f1167,f1172,f1177,f1182,f1187,f1192,f1197,f1202,f1207,f1212,f1217,f1222,f1227,f1232,f1237,f1242,f1247,f1252,f1257,f1262,f1267,f1272,f1277,f1282,f1287,f1292,f1297,f1302,f1307,f1312,f1317,f1322,f1327,f1332,f1337,f1342,f1347,f1352,f1357,f1362,f1367,f1372,f1377,f1382,f1387,f1392,f1397,f1402,f1407,f1412,f1417,f1422,f1427,f1432,f1437,f1442,f1447,f1452,f1457,f1462,f1467,f1472,f1477,f1482,f1487,f1492,f1497,f1502,f1507,f1512,f1517,f1522,f1527,f1532,f1537,f1542,f1547,f1552,f1557,f1562,f1567,f1572,f1577,f1582,f1587,f1592,f1597,f1602,f1607,f1612,f1617,f1622,f1627,f1632,f1637,f1642,f1647,f1652,f1657,f1662,f1667,f1672,f1677,f1682,f1687,f1692,f1697,f1702,f1707,f1712,f1717,f1722,f1727,f1732,f1737,f1742,f1747,f1752,f1757,f1762,f1767,f1832,f1837,f1842,f1847,f1852,f1857,f1862,f1867,f1872,f1877,f1882,f1887,f1892,f1897,f1902,f1907,f1912,f1917,f1922,f1927,f1932,f1937,f1942,f1947,f1952,f1957,f1962,f1967,f1972,f1977,f1982,f1987,f1992,f1997,f2002,f2007,f2012,f2017,f2022,f2027,f2032,f2037,f2042,f2047,f2052,f2057,f2062,f2067,f2072,f2077,f2082,f2087,f2092,f2097,f2102,f2107,f2112,f2117,f2122,f2127,f2132,f2137,f2142,f2147,f2152,f2157,f2162,f2167,f2172,f2177,f2182,f2187,f2192,f2197,f2202,f2207,f2212,f2217,f2222,f2227,f2232,f2237,f2242,f2247,f2252,f2257,f2262,f2267,f2272,f2277,f2282,f2287,f2292,f2297,f2302,f2307,f2312,f2317,f2322,f2327,f2332,f2337,f2342,f2347,f2352,f2357,f2362,f2367,f2372,f2377,f2382,f2387,f2392,f2397,f2402,f2407,f2412,f2417,f2422,f2427,f2432,f2437,f2442,f2447,f2452,f2457,f2462,f2467,f2472,f2477,f2482,f2487,f2492,f2497,f2502,f2507,f2512,f2517,f2522,f2527,f2532,f2537,f2542,f2547,f2552,f2557,f2562,f2567,f2572,f2577,f2582,f2587,f2592,f2597,f2602,f2607,f2612,f2617,f2622,f2627,f2632,f2637,f2642,f2647,f2652,f2657,f2662,f2667,f2672,f2677,f2682,f2687,f2692,f2697,f2702,f2707,f2712,f2717,f2722,f2727,f2732,f2737,f2742,f2747,f2752,f2757,f2762,f2767,f2772,f2777,f2782,f2787,f2792,f2797,f2802,f2807,f2812,f2817,f2822,f2827]) ).

fof(f2827,plain,
    spl32_485,
    inference(avatar_split_clause,[],[f15,f2824]) ).

fof(f2824,plain,
    ( spl32_485
  <=> n6 = sum(n13,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_485])]) ).

fof(f15,plain,
    n6 = sum(n13,n9),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,plain,
    ( n6 != n13
    & n13 = sum(n12,n1)
    & n3 = sum(n9,n10)
    & n0 = sum(n15,n1)
    & ( n13 = sK7
      | n0 = sK7
      | n4 = sK7
      | n9 = sK7
      | n12 = sK7
      | n11 = sK7
      | n15 = sK7
      | n2 = sK7
      | n14 = sK7
      | n1 = sK7
      | n8 = sK7
      | n7 = sK7
      | n5 = sK7
      | n10 = sK7
      | n6 = sK7
      | n3 = sK7 )
    & n5 = pred(n6)
    & n5 != n7
    & n5 != n11
    & n14 = sum(n3,n11)
    & n8 = sum(n12,n12)
    & n0 != n4
    & n15 = sum(n3,n12)
    & n9 = sum(n9,n0)
    & n1 = sum(n4,n13)
    & n3 != n9
    & n3 = sum(n4,n15)
    & n12 = pred(n13)
    & n15 = pred(n0)
    & n8 != n12
    & n7 = sum(n6,n1)
    & n0 = sum(n7,n9)
    & n8 = sum(n0,n8)
    & n8 != n9
    & n3 != n14
    & n9 = sum(n8,n1)
    & n7 != n13
    & sK31 = sum(sum(pred(sK29),succ(sK29)),sum(pred(sK25),succ(sK25)))
    & sum(sum(pred(sK21),succ(sK0)),sum(pred(sK0),succ(sK21))) = sK6
    & n1 = sum(n14,n3)
    & n1 = sum(n12,n5)
    & n3 != n8
    & n6 != n8
    & n3 = sum(n15,n4)
    & n13 = sum(n9,n4)
    & n1 != n7
    & n14 = sum(n7,n7)
    & n7 = sum(n14,n9)
    & n11 = sum(n15,n12)
    & n0 = sum(n6,n10)
    & n2 = sum(n1,n1)
    & n15 = sum(n5,n10)
    & n10 = sum(n8,n2)
    & n0 = sum(n2,n14)
    & n3 = sum(n7,n12)
    & n2 = sum(n6,n12)
    & n0 != n7
    & n10 = sum(n9,n1)
    & n3 = sum(n6,n13)
    & n1 = sum(n3,n14)
    & n12 != n13
    & n12 = sum(n11,n1)
    & n12 = sum(n15,n13)
    & n4 = sum(n6,n14)
    & n3 != n15
    & n10 != n11
    & n5 != n9
    & sum(sum(pred(sK1),succ(sK1)),sum(pred(sK30),succ(sK30))) = sK4
    & n14 = sum(n1,n13)
    & n10 = sum(n3,n7)
    & n1 != n5
    & n3 != n6
    & n5 = sum(n6,n15)
    & n13 = sum(n13,n0)
    & n7 = sum(n13,n10)
    & n2 != n8
    & n14 = sum(n8,n6)
    & n3 = sum(n11,n8)
    & n12 = sum(n12,n0)
    & n5 = sum(n4,n1)
    & sK17 = sum(sum(pred(sK1),succ(sK30)),sum(pred(sK30),succ(sK1)))
    & sum(sum(pred(sK14),succ(sK7)),sum(pred(sK7),succ(sK14))) = sK24
    & n4 = sum(n3,n1)
    & n3 = sum(n1,n2)
    & n11 = sum(n12,n15)
    & n5 = sum(n7,n14)
    & n4 = sum(n15,n5)
    & n8 = sum(n7,n1)
    & n15 = sum(n15,n0)
    & n11 = sum(n10,n1)
    & n11 != n12
    & n4 = sum(n13,n7)
    & n3 != n4
    & n0 = sum(n13,n3)
    & n8 = sum(n15,n9)
    & n7 != n14
    & n6 = sum(n15,n7)
    & n4 = sum(n9,n11)
    & n2 = sum(n13,n5)
    & n0 = sum(n12,n4)
    & n6 = sum(n6,n0)
    & n8 = sum(n13,n11)
    & n6 = sum(n8,n14)
    & n14 = sum(n2,n12)
    & n6 = sum(n14,n8)
    & n8 = sum(n1,n7)
    & sK2 = sum(sum(pred(sK8),succ(sK8)),sum(pred(sK11),succ(sK11)))
    & n8 != n14
    & n5 = sum(n9,n12)
    & n3 != n10
    & sum(sum(pred(sK19),succ(sK19)),sum(pred(sK12),succ(sK12))) = sK25
    & n2 != n12
    & n2 = sum(n14,n4)
    & n10 != n12
    & n0 = sum(n10,n6)
    & n5 = sum(n12,n9)
    & n13 != n15
    & n1 = sum(n13,n4)
    & n0 = sum(n9,n7)
    & n4 != n12
    & n2 = sum(n4,n14)
    & n10 = sum(n0,n10)
    & sK11 = sum(sum(pred(sK28),succ(sK28)),sum(pred(sK23),succ(sK23)))
    & sum(sum(pred(sK17),succ(sK17)),sum(pred(sK4),succ(sK4))) = sK22
    & n3 = sum(n12,n7)
    & n8 != n13
    & n5 = sum(n2,n3)
    & n11 != n15
    & n6 != n7
    & n13 = sum(n6,n7)
    & n11 = sum(n9,n2)
    & n7 = sum(n7,n0)
    & n8 = sum(n6,n2)
    & n6 = sum(n0,n6)
    & n0 != n13
    & n9 != n11
    & n3 != n13
    & n11 = pred(n12)
    & n10 = sum(n5,n5)
    & n5 = sum(n13,n8)
    & sum(sum(pred(sK6),succ(sK6)),sum(pred(sK20),succ(sK20))) = sK12
    & n4 != n7
    & n6 != n14
    & n9 != n14
    & n13 = sum(n0,n13)
    & sum(sum(pred(sK27),succ(sK27)),sum(pred(sK31),succ(sK31))) = sK9
    & n8 = sum(n11,n13)
    & n2 = pred(n3)
    & n8 = sum(n14,n10)
    & n13 = sum(n7,n6)
    & n4 = sum(n14,n6)
    & n0 != n3
    & n8 = sum(n3,n5)
    & n12 = sum(n14,n14)
    & n7 = sum(n8,n15)
    & n3 != n11
    & sK0 = sum(sum(pred(sK24),succ(sK24)),sum(pred(sK15),succ(sK15)))
    & n3 != n5
    & n3 = sum(n13,n6)
    & n6 = sum(n4,n2)
    & n6 = pred(n7)
    & n10 = sum(n13,n13)
    & n15 = sum(n10,n5)
    & n5 != n14
    & sum(sum(pred(sK8),succ(sK11)),sum(pred(sK11),succ(sK8))) = sK16
    & n6 = sum(n2,n4)
    & ( n14 = sK14
      | n15 = sK14
      | n1 = sK14
      | n3 = sK14
      | n6 = sK14
      | n7 = sK14
      | n4 = sK14
      | n13 = sK14
      | n11 = sK14
      | n9 = sK14
      | n2 = sK14
      | n8 = sK14
      | n0 = sK14
      | n12 = sK14
      | n5 = sK14
      | n10 = sK14 )
    & sK5 = sum(sum(pred(sK16),succ(sK16)),sum(pred(sK2),succ(sK2)))
    & n14 = sum(n0,n14)
    & n2 = sum(n11,n7)
    & sK23 = sum(sum(pred(sK18),succ(sK18)),sum(pred(sK10),succ(sK10)))
    & n11 != n14
    & n5 = sum(n14,n7)
    & n6 != n11
    & n10 = sum(n4,n6)
    & n0 != n10
    & n10 = sum(n15,n11)
    & sum(sum(pred(sK28),succ(sK23)),sum(pred(sK23),succ(sK28))) = sK8
    & n11 = sum(n8,n3)
    & n3 = sum(n0,n3)
    & n1 = sum(n6,n11)
    & n4 = sum(n4,n0)
    & n7 = sum(n1,n6)
    & n9 = sum(n5,n4)
    & succ(n2) = n3
    & n3 = sum(n2,n1)
    & n12 = sum(n7,n5)
    & n2 != n11
    & n5 != n15
    & n0 = sum(n3,n13)
    & n2 != n15
    & n4 = sum(n1,n3)
    & n6 = sum(n3,n3)
    & n6 = sum(n7,n15)
    & n1 != n14
    & n5 = sum(n1,n4)
    & sK26 = sum(sum(pred(sK17),succ(sK4)),sum(pred(sK4),succ(sK17)))
    & n4 = sum(n5,n15)
    & n13 = sum(n5,n8)
    & n0 = succ(n15)
    & n10 = sum(n14,n12)
    & n11 = sum(n7,n4)
    & n7 = sum(n3,n4)
    & n5 != n10
    & n0 != n5
    & n4 != n5
    & n6 = sum(n5,n1)
    & n3 != n12
    & n0 != n8
    & n2 = sum(n12,n6)
    & n8 != n15
    & n0 != n2
    & n7 != n10
    & n4 = sum(n12,n8)
    & sK19 = sum(sum(pred(sK6),succ(sK20)),sum(pred(sK20),succ(sK6)))
    & n6 != n10
    & n10 = sum(n10,n0)
    & n15 = sum(n2,n13)
    & n3 = sum(n8,n11)
    & n14 = sum(n15,n15)
    & n2 != n10
    & n11 = sum(n2,n9)
    & n4 != n6
    & n6 = sum(n9,n13)
    & succ(n9) = n10
    & n5 != n8
    & n4 != n15
    & n11 = sum(n4,n7)
    & n15 = sum(n6,n9)
    & n9 = sum(n7,n2)
    & sK20 = sum(sum(pred(sK21),succ(sK21)),sum(pred(sK0),succ(sK0)))
    & n8 = sum(n4,n4)
    & n15 = sum(n9,n6)
    & n8 = sum(n5,n3)
    & n4 = sum(n0,n4)
    & n12 = sum(n13,n15)
    & n1 = sum(n8,n9)
    & n14 = sum(n5,n9)
    & n1 = sum(n7,n10)
    & n9 = sum(n14,n11)
    & n0 != n12
    & n9 = sum(n4,n5)
    & n0 = sum(n0,n0)
    & n14 = sum(n9,n5)
    & n8 = sum(n10,n14)
    & n0 = pred(n1)
    & n14 = sum(n13,n1)
    & sK1 = sum(sum(pred(sK13),succ(sK5)),sum(pred(sK5),succ(sK13)))
    & n13 = sum(n8,n5)
    & n9 = sum(n12,n13)
    & n1 != n12
    & n15 = sum(n7,n8)
    & n0 != n9
    & n10 = sum(n1,n9)
    & n0 != n1
    & n14 = sum(n12,n2)
    & n15 = sum(n13,n2)
    & n1 = sum(n5,n12)
    & n3 = pred(n4)
    & n15 = sum(n4,n11)
    & n1 != n6
    & n11 = sum(n5,n6)
    & n1 != n15
    & n6 != n9
    & n14 = sum(n11,n3)
    & n5 != n13
    & n2 = sum(n0,n2)
    & n2 != n9
    & n2 = sum(n3,n15)
    & n7 = pred(n8)
    & n6 = sum(n11,n11)
    & n14 = sum(n6,n8)
    & n2 != n5
    & n6 = sum(n1,n5)
    & n1 = pred(n2)
    & n0 = sum(n8,n8)
    & n8 != n11
    & n11 = sum(n13,n14)
    & n1 = sum(n9,n8)
    & n12 = sum(n9,n3)
    & n7 = sum(n4,n3)
    & n12 = sum(n10,n2)
    & n0 = sum(n4,n12)
    & n2 != n3
    & n12 = sum(n1,n11)
    & n9 = sum(n11,n14)
    & n0 != n14
    & n9 = sum(n1,n8)
    & n12 = sum(n8,n4)
    & sum(sum(pred(sK3),succ(sK3)),sum(pred(sK9),succ(sK9))) = sK10
    & n13 = sum(n11,n2)
    & n10 != n15
    & n2 = sum(n7,n11)
    & n2 != n4
    & n12 = sum(n4,n8)
    & n13 = sum(n4,n9)
    & n15 = sum(n1,n14)
    & n15 = sum(n8,n7)
    & n11 = sum(n0,n11)
    & n14 != n15
    & n9 = sum(n10,n15)
    & n0 = sum(n5,n11)
    & sum(sum(pred(sK29),succ(sK25)),sum(pred(sK25),succ(sK29))) = sK27
    & n13 = sum(n15,n14)
    & n7 = sum(n10,n13)
    & n7 = sum(n5,n2)
    & sum(sum(pred(sK27),succ(sK31)),sum(pred(sK31),succ(sK27))) = sK3
    & n15 = sum(n12,n3)
    & n7 = sum(n0,n7)
    & n10 = sum(n7,n3)
    & n9 != n10
    & sK30 = sum(sum(pred(sK13),succ(sK13)),sum(pred(sK5),succ(sK5)))
    & n14 = pred(n15)
    & n12 = sum(n3,n9)
    & n13 = pred(n14)
    & n0 != n15
    & n0 = sum(n14,n2)
    & n1 = sum(n10,n7)
    & n13 = sum(n14,n15)
    & n8 = pred(n9)
    & n7 = sum(n2,n5)
    & n3 = sum(n10,n9)
    & n11 != n13
    & n5 = sum(n5,n0)
    & n9 != n15
    & n9 = sum(n2,n7)
    & n5 = sum(n15,n6)
    & n10 != n13
    & n4 != n10
    & succ(n1) = n2
    & succ(n12) = n13
    & n11 = sum(n6,n5)
    & n10 = pred(n11)
    & n14 = sum(n14,n0)
    & n10 = sum(n12,n14)
    & n11 = sum(n11,n0)
    & n7 != n12
    & n7 != n15
    & n1 != n11
    & n1 != n10
    & succ(n14) = n15
    & n6 != n12
    & n7 != n9
    & n7 != n11
    & n3 = sum(n5,n14)
    & n3 = sum(n3,n0)
    & n5 = sum(n3,n2)
    & n14 = sum(n4,n10)
    & n4 != n11
    & n2 = sum(n10,n8)
    & n9 = sum(n6,n3)
    & n12 = sum(n6,n6)
    & n2 != n6
    & n2 = sum(n9,n9)
    & n10 != n14
    & n4 = sum(n8,n12)
    & sK28 = sum(sum(pred(sK18),succ(sK10)),sum(pred(sK10),succ(sK18)))
    & n8 = sum(n2,n6)
    & n1 != n2
    & n8 != n10
    & n2 != n13
    & n4 != n8
    & n10 = sum(n2,n8)
    & sK13 = sum(sum(pred(sK16),succ(sK2)),sum(pred(sK2),succ(sK16)))
    & n14 = sum(n10,n4)
    & n7 = sum(n9,n14)
    & n13 = sum(n1,n12)
    & sK18 = sum(sum(pred(sK3),succ(sK9)),sum(pred(sK9),succ(sK3)))
    & succ(n13) = n14
    & n6 = sum(n12,n10)
    & n13 != n14
    & n1 != n4
    & n2 = sum(n2,n0)
    & n4 = pred(n5)
    & n6 = sum(n10,n12)
    & n12 != n14
    & n2 = sum(n5,n13)
    & succ(n0) = n1
    & n2 != n7
    & n12 = sum(n2,n10)
    & n15 = sum(n11,n4)
    & n5 = sum(n10,n11)
    & n1 != n8
    & n5 = sum(n0,n5)
    & n1 != n3
    & n1 = sum(n2,n15)
    & succ(n6) = n7
    & n9 = sum(n13,n12)
    & sK15 = sum(sum(pred(sK14),succ(sK14)),sum(pred(sK7),succ(sK7)))
    & n13 = sum(n3,n10)
    & n5 != n6
    & n4 = sum(n11,n9)
    & n12 = sum(n0,n12)
    & n13 = sum(n10,n3)
    & n1 != n9
    & succ(n5) = n6
    & n4 != n9
    & succ(n11) = n12
    & n8 = sum(n9,n15)
    & n11 = sum(n14,n13)
    & n10 = sum(n6,n4)
    & n0 = sum(n1,n15)
    & n6 != n15
    & n2 != n14
    & n15 = sum(n0,n15)
    & n0 = sum(n11,n5)
    & n1 != n13
    & n4 = sum(n10,n10)
    & n9 != n13
    & n5 = sum(n11,n10)
    & n2 = sum(n15,n3)
    & n4 = sum(n2,n2)
    & n11 = sum(n1,n10)
    & succ(n4) = n5
    & n2 = sum(n8,n10)
    & n15 = sum(n14,n1)
    & n3 = sum(n14,n5)
    & n1 = sum(n15,n2)
    & n9 != n12
    & n9 = sum(n3,n6)
    & n5 != n12
    & sum(sum(pred(sK24),succ(sK15)),sum(pred(sK15),succ(sK24))) = sK21
    & n12 != n15
    & succ(n10) = n11
    & n1 = sum(n1,n0)
    & n1 = sum(n11,n6)
    & n11 = sum(n3,n8)
    & succ(n8) = n9
    & n8 = sum(n8,n0)
    & n9 = sum(n15,n10)
    & n9 = pred(n10)
    & succ(n3) = n4
    & n13 = sum(n2,n11)
    & n7 = sum(n11,n12)
    & n7 = sum(n12,n11)
    & n5 = sum(n8,n13)
    & n0 != n6
    & n4 != n13
    & n3 != n7
    & sK29 = sum(sum(pred(sK19),succ(sK12)),sum(pred(sK12),succ(sK19)))
    & ( sK5 != sK13
      | sK31 != sK27
      | sK1 != sK30
      | sK20 != sK6
      | sK28 != sK23
      | sK29 != sK25
      | sK12 != sK19
      | sK17 != sK4
      | sK8 != sK11
      | sK2 != sK16
      | sK18 != sK10
      | sK0 != sK21
      | sK15 != sK24
      | sK9 != sK3
      | sK26 != sK22 )
    & n1 = sum(n0,n1)
    & n6 = sum(n13,n9)
    & n12 = sum(n5,n7)
    & n10 = sum(n11,n15)
    & n9 = sum(n0,n9)
    & n0 != n11
    & n4 = sum(n7,n13)
    & n4 != n14
    & n7 != n8
    & n7 = sum(n15,n8)
    & succ(n7) = n8 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK18,sK19,sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31])],[f3,f4]) ).

fof(f4,plain,
    ( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31] :
        ( n6 != n13
        & n13 = sum(n12,n1)
        & n3 = sum(n9,n10)
        & n0 = sum(n15,n1)
        & ( n13 = X7
          | n0 = X7
          | n4 = X7
          | n9 = X7
          | n12 = X7
          | n11 = X7
          | n15 = X7
          | n2 = X7
          | n14 = X7
          | n1 = X7
          | n8 = X7
          | n7 = X7
          | n5 = X7
          | n10 = X7
          | n6 = X7
          | n3 = X7 )
        & n5 = pred(n6)
        & n5 != n7
        & n5 != n11
        & n14 = sum(n3,n11)
        & n8 = sum(n12,n12)
        & n0 != n4
        & n15 = sum(n3,n12)
        & n9 = sum(n9,n0)
        & n1 = sum(n4,n13)
        & n3 != n9
        & n3 = sum(n4,n15)
        & n12 = pred(n13)
        & n15 = pred(n0)
        & n8 != n12
        & n7 = sum(n6,n1)
        & n0 = sum(n7,n9)
        & n8 = sum(n0,n8)
        & n8 != n9
        & n3 != n14
        & n9 = sum(n8,n1)
        & n7 != n13
        & sum(sum(pred(X29),succ(X29)),sum(pred(X25),succ(X25))) = X31
        & sum(sum(pred(X21),succ(X0)),sum(pred(X0),succ(X21))) = X6
        & n1 = sum(n14,n3)
        & n1 = sum(n12,n5)
        & n3 != n8
        & n6 != n8
        & n3 = sum(n15,n4)
        & n13 = sum(n9,n4)
        & n1 != n7
        & n14 = sum(n7,n7)
        & n7 = sum(n14,n9)
        & n11 = sum(n15,n12)
        & n0 = sum(n6,n10)
        & n2 = sum(n1,n1)
        & n15 = sum(n5,n10)
        & n10 = sum(n8,n2)
        & n0 = sum(n2,n14)
        & n3 = sum(n7,n12)
        & n2 = sum(n6,n12)
        & n0 != n7
        & n10 = sum(n9,n1)
        & n3 = sum(n6,n13)
        & n1 = sum(n3,n14)
        & n12 != n13
        & n12 = sum(n11,n1)
        & n12 = sum(n15,n13)
        & n4 = sum(n6,n14)
        & n3 != n15
        & n10 != n11
        & n5 != n9
        & sum(sum(pred(X1),succ(X1)),sum(pred(X30),succ(X30))) = X4
        & n14 = sum(n1,n13)
        & n10 = sum(n3,n7)
        & n1 != n5
        & n3 != n6
        & n5 = sum(n6,n15)
        & n13 = sum(n13,n0)
        & n7 = sum(n13,n10)
        & n2 != n8
        & n14 = sum(n8,n6)
        & n3 = sum(n11,n8)
        & n12 = sum(n12,n0)
        & n5 = sum(n4,n1)
        & sum(sum(pred(X1),succ(X30)),sum(pred(X30),succ(X1))) = X17
        & sum(sum(pred(X14),succ(X7)),sum(pred(X7),succ(X14))) = X24
        & n4 = sum(n3,n1)
        & n3 = sum(n1,n2)
        & n11 = sum(n12,n15)
        & n5 = sum(n7,n14)
        & n4 = sum(n15,n5)
        & n8 = sum(n7,n1)
        & n15 = sum(n15,n0)
        & n11 = sum(n10,n1)
        & n11 != n12
        & n4 = sum(n13,n7)
        & n3 != n4
        & n0 = sum(n13,n3)
        & n8 = sum(n15,n9)
        & n7 != n14
        & n6 = sum(n15,n7)
        & n4 = sum(n9,n11)
        & n2 = sum(n13,n5)
        & n0 = sum(n12,n4)
        & n6 = sum(n6,n0)
        & n8 = sum(n13,n11)
        & n6 = sum(n8,n14)
        & n14 = sum(n2,n12)
        & n6 = sum(n14,n8)
        & n8 = sum(n1,n7)
        & sum(sum(pred(X8),succ(X8)),sum(pred(X11),succ(X11))) = X2
        & n8 != n14
        & n5 = sum(n9,n12)
        & n3 != n10
        & sum(sum(pred(X19),succ(X19)),sum(pred(X12),succ(X12))) = X25
        & n2 != n12
        & n2 = sum(n14,n4)
        & n10 != n12
        & n0 = sum(n10,n6)
        & n5 = sum(n12,n9)
        & n13 != n15
        & n1 = sum(n13,n4)
        & n0 = sum(n9,n7)
        & n4 != n12
        & n2 = sum(n4,n14)
        & n10 = sum(n0,n10)
        & sum(sum(pred(X28),succ(X28)),sum(pred(X23),succ(X23))) = X11
        & sum(sum(pred(X17),succ(X17)),sum(pred(X4),succ(X4))) = X22
        & n3 = sum(n12,n7)
        & n8 != n13
        & n5 = sum(n2,n3)
        & n11 != n15
        & n6 != n7
        & n13 = sum(n6,n7)
        & n11 = sum(n9,n2)
        & n7 = sum(n7,n0)
        & n8 = sum(n6,n2)
        & n6 = sum(n0,n6)
        & n0 != n13
        & n9 != n11
        & n3 != n13
        & n11 = pred(n12)
        & n10 = sum(n5,n5)
        & n5 = sum(n13,n8)
        & sum(sum(pred(X6),succ(X6)),sum(pred(X20),succ(X20))) = X12
        & n4 != n7
        & n6 != n14
        & n9 != n14
        & n13 = sum(n0,n13)
        & sum(sum(pred(X27),succ(X27)),sum(pred(X31),succ(X31))) = X9
        & n8 = sum(n11,n13)
        & n2 = pred(n3)
        & n8 = sum(n14,n10)
        & n13 = sum(n7,n6)
        & n4 = sum(n14,n6)
        & n0 != n3
        & n8 = sum(n3,n5)
        & n12 = sum(n14,n14)
        & n7 = sum(n8,n15)
        & n3 != n11
        & sum(sum(pred(X24),succ(X24)),sum(pred(X15),succ(X15))) = X0
        & n3 != n5
        & n3 = sum(n13,n6)
        & n6 = sum(n4,n2)
        & n6 = pred(n7)
        & n10 = sum(n13,n13)
        & n15 = sum(n10,n5)
        & n5 != n14
        & sum(sum(pred(X8),succ(X11)),sum(pred(X11),succ(X8))) = X16
        & n6 = sum(n2,n4)
        & ( n14 = X14
          | n15 = X14
          | n1 = X14
          | n3 = X14
          | n6 = X14
          | n7 = X14
          | n4 = X14
          | n13 = X14
          | n11 = X14
          | n9 = X14
          | n2 = X14
          | n8 = X14
          | n0 = X14
          | n12 = X14
          | n5 = X14
          | n10 = X14 )
        & sum(sum(pred(X16),succ(X16)),sum(pred(X2),succ(X2))) = X5
        & n14 = sum(n0,n14)
        & n2 = sum(n11,n7)
        & sum(sum(pred(X18),succ(X18)),sum(pred(X10),succ(X10))) = X23
        & n11 != n14
        & n5 = sum(n14,n7)
        & n6 != n11
        & n10 = sum(n4,n6)
        & n0 != n10
        & n10 = sum(n15,n11)
        & sum(sum(pred(X28),succ(X23)),sum(pred(X23),succ(X28))) = X8
        & n11 = sum(n8,n3)
        & n3 = sum(n0,n3)
        & n1 = sum(n6,n11)
        & n4 = sum(n4,n0)
        & n7 = sum(n1,n6)
        & n9 = sum(n5,n4)
        & succ(n2) = n3
        & n3 = sum(n2,n1)
        & n12 = sum(n7,n5)
        & n2 != n11
        & n5 != n15
        & n0 = sum(n3,n13)
        & n2 != n15
        & n4 = sum(n1,n3)
        & n6 = sum(n3,n3)
        & n6 = sum(n7,n15)
        & n1 != n14
        & n5 = sum(n1,n4)
        & sum(sum(pred(X17),succ(X4)),sum(pred(X4),succ(X17))) = X26
        & n4 = sum(n5,n15)
        & n13 = sum(n5,n8)
        & n0 = succ(n15)
        & n10 = sum(n14,n12)
        & n11 = sum(n7,n4)
        & n7 = sum(n3,n4)
        & n5 != n10
        & n0 != n5
        & n4 != n5
        & n6 = sum(n5,n1)
        & n3 != n12
        & n0 != n8
        & n2 = sum(n12,n6)
        & n8 != n15
        & n0 != n2
        & n7 != n10
        & n4 = sum(n12,n8)
        & sum(sum(pred(X6),succ(X20)),sum(pred(X20),succ(X6))) = X19
        & n6 != n10
        & n10 = sum(n10,n0)
        & n15 = sum(n2,n13)
        & n3 = sum(n8,n11)
        & n14 = sum(n15,n15)
        & n2 != n10
        & n11 = sum(n2,n9)
        & n4 != n6
        & n6 = sum(n9,n13)
        & succ(n9) = n10
        & n5 != n8
        & n4 != n15
        & n11 = sum(n4,n7)
        & n15 = sum(n6,n9)
        & n9 = sum(n7,n2)
        & sum(sum(pred(X21),succ(X21)),sum(pred(X0),succ(X0))) = X20
        & n8 = sum(n4,n4)
        & n15 = sum(n9,n6)
        & n8 = sum(n5,n3)
        & n4 = sum(n0,n4)
        & n12 = sum(n13,n15)
        & n1 = sum(n8,n9)
        & n14 = sum(n5,n9)
        & n1 = sum(n7,n10)
        & n9 = sum(n14,n11)
        & n0 != n12
        & n9 = sum(n4,n5)
        & n0 = sum(n0,n0)
        & n14 = sum(n9,n5)
        & n8 = sum(n10,n14)
        & n0 = pred(n1)
        & n14 = sum(n13,n1)
        & sum(sum(pred(X13),succ(X5)),sum(pred(X5),succ(X13))) = X1
        & n13 = sum(n8,n5)
        & n9 = sum(n12,n13)
        & n1 != n12
        & n15 = sum(n7,n8)
        & n0 != n9
        & n10 = sum(n1,n9)
        & n0 != n1
        & n14 = sum(n12,n2)
        & n15 = sum(n13,n2)
        & n1 = sum(n5,n12)
        & n3 = pred(n4)
        & n15 = sum(n4,n11)
        & n1 != n6
        & n11 = sum(n5,n6)
        & n1 != n15
        & n6 != n9
        & n14 = sum(n11,n3)
        & n5 != n13
        & n2 = sum(n0,n2)
        & n2 != n9
        & n2 = sum(n3,n15)
        & n7 = pred(n8)
        & n6 = sum(n11,n11)
        & n14 = sum(n6,n8)
        & n2 != n5
        & n6 = sum(n1,n5)
        & n1 = pred(n2)
        & n0 = sum(n8,n8)
        & n8 != n11
        & n11 = sum(n13,n14)
        & n1 = sum(n9,n8)
        & n12 = sum(n9,n3)
        & n7 = sum(n4,n3)
        & n12 = sum(n10,n2)
        & n0 = sum(n4,n12)
        & n2 != n3
        & n12 = sum(n1,n11)
        & n9 = sum(n11,n14)
        & n0 != n14
        & n9 = sum(n1,n8)
        & n12 = sum(n8,n4)
        & sum(sum(pred(X3),succ(X3)),sum(pred(X9),succ(X9))) = X10
        & n13 = sum(n11,n2)
        & n10 != n15
        & n2 = sum(n7,n11)
        & n2 != n4
        & n12 = sum(n4,n8)
        & n13 = sum(n4,n9)
        & n15 = sum(n1,n14)
        & n15 = sum(n8,n7)
        & n11 = sum(n0,n11)
        & n14 != n15
        & n9 = sum(n10,n15)
        & n0 = sum(n5,n11)
        & sum(sum(pred(X29),succ(X25)),sum(pred(X25),succ(X29))) = X27
        & n13 = sum(n15,n14)
        & n7 = sum(n10,n13)
        & n7 = sum(n5,n2)
        & sum(sum(pred(X27),succ(X31)),sum(pred(X31),succ(X27))) = X3
        & n15 = sum(n12,n3)
        & n7 = sum(n0,n7)
        & n10 = sum(n7,n3)
        & n9 != n10
        & sum(sum(pred(X13),succ(X13)),sum(pred(X5),succ(X5))) = X30
        & n14 = pred(n15)
        & n12 = sum(n3,n9)
        & n13 = pred(n14)
        & n0 != n15
        & n0 = sum(n14,n2)
        & n1 = sum(n10,n7)
        & n13 = sum(n14,n15)
        & n8 = pred(n9)
        & n7 = sum(n2,n5)
        & n3 = sum(n10,n9)
        & n11 != n13
        & n5 = sum(n5,n0)
        & n9 != n15
        & n9 = sum(n2,n7)
        & n5 = sum(n15,n6)
        & n10 != n13
        & n4 != n10
        & succ(n1) = n2
        & succ(n12) = n13
        & n11 = sum(n6,n5)
        & n10 = pred(n11)
        & n14 = sum(n14,n0)
        & n10 = sum(n12,n14)
        & n11 = sum(n11,n0)
        & n7 != n12
        & n7 != n15
        & n1 != n11
        & n1 != n10
        & succ(n14) = n15
        & n6 != n12
        & n7 != n9
        & n7 != n11
        & n3 = sum(n5,n14)
        & n3 = sum(n3,n0)
        & n5 = sum(n3,n2)
        & n14 = sum(n4,n10)
        & n4 != n11
        & n2 = sum(n10,n8)
        & n9 = sum(n6,n3)
        & n12 = sum(n6,n6)
        & n2 != n6
        & n2 = sum(n9,n9)
        & n10 != n14
        & n4 = sum(n8,n12)
        & sum(sum(pred(X18),succ(X10)),sum(pred(X10),succ(X18))) = X28
        & n8 = sum(n2,n6)
        & n1 != n2
        & n8 != n10
        & n2 != n13
        & n4 != n8
        & n10 = sum(n2,n8)
        & sum(sum(pred(X16),succ(X2)),sum(pred(X2),succ(X16))) = X13
        & n14 = sum(n10,n4)
        & n7 = sum(n9,n14)
        & n13 = sum(n1,n12)
        & sum(sum(pred(X3),succ(X9)),sum(pred(X9),succ(X3))) = X18
        & succ(n13) = n14
        & n6 = sum(n12,n10)
        & n13 != n14
        & n1 != n4
        & n2 = sum(n2,n0)
        & n4 = pred(n5)
        & n6 = sum(n10,n12)
        & n12 != n14
        & n2 = sum(n5,n13)
        & succ(n0) = n1
        & n2 != n7
        & n12 = sum(n2,n10)
        & n15 = sum(n11,n4)
        & n5 = sum(n10,n11)
        & n1 != n8
        & n5 = sum(n0,n5)
        & n1 != n3
        & n1 = sum(n2,n15)
        & succ(n6) = n7
        & n9 = sum(n13,n12)
        & sum(sum(pred(X14),succ(X14)),sum(pred(X7),succ(X7))) = X15
        & n13 = sum(n3,n10)
        & n5 != n6
        & n4 = sum(n11,n9)
        & n12 = sum(n0,n12)
        & n13 = sum(n10,n3)
        & n1 != n9
        & succ(n5) = n6
        & n4 != n9
        & succ(n11) = n12
        & n8 = sum(n9,n15)
        & n11 = sum(n14,n13)
        & n10 = sum(n6,n4)
        & n0 = sum(n1,n15)
        & n6 != n15
        & n2 != n14
        & n15 = sum(n0,n15)
        & n0 = sum(n11,n5)
        & n1 != n13
        & n4 = sum(n10,n10)
        & n9 != n13
        & n5 = sum(n11,n10)
        & n2 = sum(n15,n3)
        & n4 = sum(n2,n2)
        & n11 = sum(n1,n10)
        & succ(n4) = n5
        & n2 = sum(n8,n10)
        & n15 = sum(n14,n1)
        & n3 = sum(n14,n5)
        & n1 = sum(n15,n2)
        & n9 != n12
        & n9 = sum(n3,n6)
        & n5 != n12
        & sum(sum(pred(X24),succ(X15)),sum(pred(X15),succ(X24))) = X21
        & n12 != n15
        & succ(n10) = n11
        & n1 = sum(n1,n0)
        & n1 = sum(n11,n6)
        & n11 = sum(n3,n8)
        & succ(n8) = n9
        & n8 = sum(n8,n0)
        & n9 = sum(n15,n10)
        & n9 = pred(n10)
        & succ(n3) = n4
        & n13 = sum(n2,n11)
        & n7 = sum(n11,n12)
        & n7 = sum(n12,n11)
        & n5 = sum(n8,n13)
        & n0 != n6
        & n4 != n13
        & n3 != n7
        & sum(sum(pred(X19),succ(X12)),sum(pred(X12),succ(X19))) = X29
        & ( X5 != X13
          | X27 != X31
          | X1 != X30
          | X6 != X20
          | X23 != X28
          | X25 != X29
          | X12 != X19
          | X4 != X17
          | X8 != X11
          | X2 != X16
          | X10 != X18
          | X0 != X21
          | X15 != X24
          | X3 != X9
          | X22 != X26 )
        & n1 = sum(n0,n1)
        & n6 = sum(n13,n9)
        & n12 = sum(n5,n7)
        & n10 = sum(n11,n15)
        & n9 = sum(n0,n9)
        & n0 != n11
        & n4 = sum(n7,n13)
        & n4 != n14
        & n7 != n8
        & n7 = sum(n15,n8)
        & succ(n7) = n8 )
   => ( n6 != n13
      & n13 = sum(n12,n1)
      & n3 = sum(n9,n10)
      & n0 = sum(n15,n1)
      & ( n13 = sK7
        | n0 = sK7
        | n4 = sK7
        | n9 = sK7
        | n12 = sK7
        | n11 = sK7
        | n15 = sK7
        | n2 = sK7
        | n14 = sK7
        | n1 = sK7
        | n8 = sK7
        | n7 = sK7
        | n5 = sK7
        | n10 = sK7
        | n6 = sK7
        | n3 = sK7 )
      & n5 = pred(n6)
      & n5 != n7
      & n5 != n11
      & n14 = sum(n3,n11)
      & n8 = sum(n12,n12)
      & n0 != n4
      & n15 = sum(n3,n12)
      & n9 = sum(n9,n0)
      & n1 = sum(n4,n13)
      & n3 != n9
      & n3 = sum(n4,n15)
      & n12 = pred(n13)
      & n15 = pred(n0)
      & n8 != n12
      & n7 = sum(n6,n1)
      & n0 = sum(n7,n9)
      & n8 = sum(n0,n8)
      & n8 != n9
      & n3 != n14
      & n9 = sum(n8,n1)
      & n7 != n13
      & sK31 = sum(sum(pred(sK29),succ(sK29)),sum(pred(sK25),succ(sK25)))
      & sum(sum(pred(sK21),succ(sK0)),sum(pred(sK0),succ(sK21))) = sK6
      & n1 = sum(n14,n3)
      & n1 = sum(n12,n5)
      & n3 != n8
      & n6 != n8
      & n3 = sum(n15,n4)
      & n13 = sum(n9,n4)
      & n1 != n7
      & n14 = sum(n7,n7)
      & n7 = sum(n14,n9)
      & n11 = sum(n15,n12)
      & n0 = sum(n6,n10)
      & n2 = sum(n1,n1)
      & n15 = sum(n5,n10)
      & n10 = sum(n8,n2)
      & n0 = sum(n2,n14)
      & n3 = sum(n7,n12)
      & n2 = sum(n6,n12)
      & n0 != n7
      & n10 = sum(n9,n1)
      & n3 = sum(n6,n13)
      & n1 = sum(n3,n14)
      & n12 != n13
      & n12 = sum(n11,n1)
      & n12 = sum(n15,n13)
      & n4 = sum(n6,n14)
      & n3 != n15
      & n10 != n11
      & n5 != n9
      & sum(sum(pred(sK1),succ(sK1)),sum(pred(sK30),succ(sK30))) = sK4
      & n14 = sum(n1,n13)
      & n10 = sum(n3,n7)
      & n1 != n5
      & n3 != n6
      & n5 = sum(n6,n15)
      & n13 = sum(n13,n0)
      & n7 = sum(n13,n10)
      & n2 != n8
      & n14 = sum(n8,n6)
      & n3 = sum(n11,n8)
      & n12 = sum(n12,n0)
      & n5 = sum(n4,n1)
      & sK17 = sum(sum(pred(sK1),succ(sK30)),sum(pred(sK30),succ(sK1)))
      & sum(sum(pred(sK14),succ(sK7)),sum(pred(sK7),succ(sK14))) = sK24
      & n4 = sum(n3,n1)
      & n3 = sum(n1,n2)
      & n11 = sum(n12,n15)
      & n5 = sum(n7,n14)
      & n4 = sum(n15,n5)
      & n8 = sum(n7,n1)
      & n15 = sum(n15,n0)
      & n11 = sum(n10,n1)
      & n11 != n12
      & n4 = sum(n13,n7)
      & n3 != n4
      & n0 = sum(n13,n3)
      & n8 = sum(n15,n9)
      & n7 != n14
      & n6 = sum(n15,n7)
      & n4 = sum(n9,n11)
      & n2 = sum(n13,n5)
      & n0 = sum(n12,n4)
      & n6 = sum(n6,n0)
      & n8 = sum(n13,n11)
      & n6 = sum(n8,n14)
      & n14 = sum(n2,n12)
      & n6 = sum(n14,n8)
      & n8 = sum(n1,n7)
      & sK2 = sum(sum(pred(sK8),succ(sK8)),sum(pred(sK11),succ(sK11)))
      & n8 != n14
      & n5 = sum(n9,n12)
      & n3 != n10
      & sum(sum(pred(sK19),succ(sK19)),sum(pred(sK12),succ(sK12))) = sK25
      & n2 != n12
      & n2 = sum(n14,n4)
      & n10 != n12
      & n0 = sum(n10,n6)
      & n5 = sum(n12,n9)
      & n13 != n15
      & n1 = sum(n13,n4)
      & n0 = sum(n9,n7)
      & n4 != n12
      & n2 = sum(n4,n14)
      & n10 = sum(n0,n10)
      & sK11 = sum(sum(pred(sK28),succ(sK28)),sum(pred(sK23),succ(sK23)))
      & sum(sum(pred(sK17),succ(sK17)),sum(pred(sK4),succ(sK4))) = sK22
      & n3 = sum(n12,n7)
      & n8 != n13
      & n5 = sum(n2,n3)
      & n11 != n15
      & n6 != n7
      & n13 = sum(n6,n7)
      & n11 = sum(n9,n2)
      & n7 = sum(n7,n0)
      & n8 = sum(n6,n2)
      & n6 = sum(n0,n6)
      & n0 != n13
      & n9 != n11
      & n3 != n13
      & n11 = pred(n12)
      & n10 = sum(n5,n5)
      & n5 = sum(n13,n8)
      & sum(sum(pred(sK6),succ(sK6)),sum(pred(sK20),succ(sK20))) = sK12
      & n4 != n7
      & n6 != n14
      & n9 != n14
      & n13 = sum(n0,n13)
      & sum(sum(pred(sK27),succ(sK27)),sum(pred(sK31),succ(sK31))) = sK9
      & n8 = sum(n11,n13)
      & n2 = pred(n3)
      & n8 = sum(n14,n10)
      & n13 = sum(n7,n6)
      & n4 = sum(n14,n6)
      & n0 != n3
      & n8 = sum(n3,n5)
      & n12 = sum(n14,n14)
      & n7 = sum(n8,n15)
      & n3 != n11
      & sK0 = sum(sum(pred(sK24),succ(sK24)),sum(pred(sK15),succ(sK15)))
      & n3 != n5
      & n3 = sum(n13,n6)
      & n6 = sum(n4,n2)
      & n6 = pred(n7)
      & n10 = sum(n13,n13)
      & n15 = sum(n10,n5)
      & n5 != n14
      & sum(sum(pred(sK8),succ(sK11)),sum(pred(sK11),succ(sK8))) = sK16
      & n6 = sum(n2,n4)
      & ( n14 = sK14
        | n15 = sK14
        | n1 = sK14
        | n3 = sK14
        | n6 = sK14
        | n7 = sK14
        | n4 = sK14
        | n13 = sK14
        | n11 = sK14
        | n9 = sK14
        | n2 = sK14
        | n8 = sK14
        | n0 = sK14
        | n12 = sK14
        | n5 = sK14
        | n10 = sK14 )
      & sK5 = sum(sum(pred(sK16),succ(sK16)),sum(pred(sK2),succ(sK2)))
      & n14 = sum(n0,n14)
      & n2 = sum(n11,n7)
      & sK23 = sum(sum(pred(sK18),succ(sK18)),sum(pred(sK10),succ(sK10)))
      & n11 != n14
      & n5 = sum(n14,n7)
      & n6 != n11
      & n10 = sum(n4,n6)
      & n0 != n10
      & n10 = sum(n15,n11)
      & sum(sum(pred(sK28),succ(sK23)),sum(pred(sK23),succ(sK28))) = sK8
      & n11 = sum(n8,n3)
      & n3 = sum(n0,n3)
      & n1 = sum(n6,n11)
      & n4 = sum(n4,n0)
      & n7 = sum(n1,n6)
      & n9 = sum(n5,n4)
      & succ(n2) = n3
      & n3 = sum(n2,n1)
      & n12 = sum(n7,n5)
      & n2 != n11
      & n5 != n15
      & n0 = sum(n3,n13)
      & n2 != n15
      & n4 = sum(n1,n3)
      & n6 = sum(n3,n3)
      & n6 = sum(n7,n15)
      & n1 != n14
      & n5 = sum(n1,n4)
      & sK26 = sum(sum(pred(sK17),succ(sK4)),sum(pred(sK4),succ(sK17)))
      & n4 = sum(n5,n15)
      & n13 = sum(n5,n8)
      & n0 = succ(n15)
      & n10 = sum(n14,n12)
      & n11 = sum(n7,n4)
      & n7 = sum(n3,n4)
      & n5 != n10
      & n0 != n5
      & n4 != n5
      & n6 = sum(n5,n1)
      & n3 != n12
      & n0 != n8
      & n2 = sum(n12,n6)
      & n8 != n15
      & n0 != n2
      & n7 != n10
      & n4 = sum(n12,n8)
      & sK19 = sum(sum(pred(sK6),succ(sK20)),sum(pred(sK20),succ(sK6)))
      & n6 != n10
      & n10 = sum(n10,n0)
      & n15 = sum(n2,n13)
      & n3 = sum(n8,n11)
      & n14 = sum(n15,n15)
      & n2 != n10
      & n11 = sum(n2,n9)
      & n4 != n6
      & n6 = sum(n9,n13)
      & succ(n9) = n10
      & n5 != n8
      & n4 != n15
      & n11 = sum(n4,n7)
      & n15 = sum(n6,n9)
      & n9 = sum(n7,n2)
      & sK20 = sum(sum(pred(sK21),succ(sK21)),sum(pred(sK0),succ(sK0)))
      & n8 = sum(n4,n4)
      & n15 = sum(n9,n6)
      & n8 = sum(n5,n3)
      & n4 = sum(n0,n4)
      & n12 = sum(n13,n15)
      & n1 = sum(n8,n9)
      & n14 = sum(n5,n9)
      & n1 = sum(n7,n10)
      & n9 = sum(n14,n11)
      & n0 != n12
      & n9 = sum(n4,n5)
      & n0 = sum(n0,n0)
      & n14 = sum(n9,n5)
      & n8 = sum(n10,n14)
      & n0 = pred(n1)
      & n14 = sum(n13,n1)
      & sK1 = sum(sum(pred(sK13),succ(sK5)),sum(pred(sK5),succ(sK13)))
      & n13 = sum(n8,n5)
      & n9 = sum(n12,n13)
      & n1 != n12
      & n15 = sum(n7,n8)
      & n0 != n9
      & n10 = sum(n1,n9)
      & n0 != n1
      & n14 = sum(n12,n2)
      & n15 = sum(n13,n2)
      & n1 = sum(n5,n12)
      & n3 = pred(n4)
      & n15 = sum(n4,n11)
      & n1 != n6
      & n11 = sum(n5,n6)
      & n1 != n15
      & n6 != n9
      & n14 = sum(n11,n3)
      & n5 != n13
      & n2 = sum(n0,n2)
      & n2 != n9
      & n2 = sum(n3,n15)
      & n7 = pred(n8)
      & n6 = sum(n11,n11)
      & n14 = sum(n6,n8)
      & n2 != n5
      & n6 = sum(n1,n5)
      & n1 = pred(n2)
      & n0 = sum(n8,n8)
      & n8 != n11
      & n11 = sum(n13,n14)
      & n1 = sum(n9,n8)
      & n12 = sum(n9,n3)
      & n7 = sum(n4,n3)
      & n12 = sum(n10,n2)
      & n0 = sum(n4,n12)
      & n2 != n3
      & n12 = sum(n1,n11)
      & n9 = sum(n11,n14)
      & n0 != n14
      & n9 = sum(n1,n8)
      & n12 = sum(n8,n4)
      & sum(sum(pred(sK3),succ(sK3)),sum(pred(sK9),succ(sK9))) = sK10
      & n13 = sum(n11,n2)
      & n10 != n15
      & n2 = sum(n7,n11)
      & n2 != n4
      & n12 = sum(n4,n8)
      & n13 = sum(n4,n9)
      & n15 = sum(n1,n14)
      & n15 = sum(n8,n7)
      & n11 = sum(n0,n11)
      & n14 != n15
      & n9 = sum(n10,n15)
      & n0 = sum(n5,n11)
      & sum(sum(pred(sK29),succ(sK25)),sum(pred(sK25),succ(sK29))) = sK27
      & n13 = sum(n15,n14)
      & n7 = sum(n10,n13)
      & n7 = sum(n5,n2)
      & sum(sum(pred(sK27),succ(sK31)),sum(pred(sK31),succ(sK27))) = sK3
      & n15 = sum(n12,n3)
      & n7 = sum(n0,n7)
      & n10 = sum(n7,n3)
      & n9 != n10
      & sK30 = sum(sum(pred(sK13),succ(sK13)),sum(pred(sK5),succ(sK5)))
      & n14 = pred(n15)
      & n12 = sum(n3,n9)
      & n13 = pred(n14)
      & n0 != n15
      & n0 = sum(n14,n2)
      & n1 = sum(n10,n7)
      & n13 = sum(n14,n15)
      & n8 = pred(n9)
      & n7 = sum(n2,n5)
      & n3 = sum(n10,n9)
      & n11 != n13
      & n5 = sum(n5,n0)
      & n9 != n15
      & n9 = sum(n2,n7)
      & n5 = sum(n15,n6)
      & n10 != n13
      & n4 != n10
      & succ(n1) = n2
      & succ(n12) = n13
      & n11 = sum(n6,n5)
      & n10 = pred(n11)
      & n14 = sum(n14,n0)
      & n10 = sum(n12,n14)
      & n11 = sum(n11,n0)
      & n7 != n12
      & n7 != n15
      & n1 != n11
      & n1 != n10
      & succ(n14) = n15
      & n6 != n12
      & n7 != n9
      & n7 != n11
      & n3 = sum(n5,n14)
      & n3 = sum(n3,n0)
      & n5 = sum(n3,n2)
      & n14 = sum(n4,n10)
      & n4 != n11
      & n2 = sum(n10,n8)
      & n9 = sum(n6,n3)
      & n12 = sum(n6,n6)
      & n2 != n6
      & n2 = sum(n9,n9)
      & n10 != n14
      & n4 = sum(n8,n12)
      & sK28 = sum(sum(pred(sK18),succ(sK10)),sum(pred(sK10),succ(sK18)))
      & n8 = sum(n2,n6)
      & n1 != n2
      & n8 != n10
      & n2 != n13
      & n4 != n8
      & n10 = sum(n2,n8)
      & sK13 = sum(sum(pred(sK16),succ(sK2)),sum(pred(sK2),succ(sK16)))
      & n14 = sum(n10,n4)
      & n7 = sum(n9,n14)
      & n13 = sum(n1,n12)
      & sK18 = sum(sum(pred(sK3),succ(sK9)),sum(pred(sK9),succ(sK3)))
      & succ(n13) = n14
      & n6 = sum(n12,n10)
      & n13 != n14
      & n1 != n4
      & n2 = sum(n2,n0)
      & n4 = pred(n5)
      & n6 = sum(n10,n12)
      & n12 != n14
      & n2 = sum(n5,n13)
      & succ(n0) = n1
      & n2 != n7
      & n12 = sum(n2,n10)
      & n15 = sum(n11,n4)
      & n5 = sum(n10,n11)
      & n1 != n8
      & n5 = sum(n0,n5)
      & n1 != n3
      & n1 = sum(n2,n15)
      & succ(n6) = n7
      & n9 = sum(n13,n12)
      & sK15 = sum(sum(pred(sK14),succ(sK14)),sum(pred(sK7),succ(sK7)))
      & n13 = sum(n3,n10)
      & n5 != n6
      & n4 = sum(n11,n9)
      & n12 = sum(n0,n12)
      & n13 = sum(n10,n3)
      & n1 != n9
      & succ(n5) = n6
      & n4 != n9
      & succ(n11) = n12
      & n8 = sum(n9,n15)
      & n11 = sum(n14,n13)
      & n10 = sum(n6,n4)
      & n0 = sum(n1,n15)
      & n6 != n15
      & n2 != n14
      & n15 = sum(n0,n15)
      & n0 = sum(n11,n5)
      & n1 != n13
      & n4 = sum(n10,n10)
      & n9 != n13
      & n5 = sum(n11,n10)
      & n2 = sum(n15,n3)
      & n4 = sum(n2,n2)
      & n11 = sum(n1,n10)
      & succ(n4) = n5
      & n2 = sum(n8,n10)
      & n15 = sum(n14,n1)
      & n3 = sum(n14,n5)
      & n1 = sum(n15,n2)
      & n9 != n12
      & n9 = sum(n3,n6)
      & n5 != n12
      & sum(sum(pred(sK24),succ(sK15)),sum(pred(sK15),succ(sK24))) = sK21
      & n12 != n15
      & succ(n10) = n11
      & n1 = sum(n1,n0)
      & n1 = sum(n11,n6)
      & n11 = sum(n3,n8)
      & succ(n8) = n9
      & n8 = sum(n8,n0)
      & n9 = sum(n15,n10)
      & n9 = pred(n10)
      & succ(n3) = n4
      & n13 = sum(n2,n11)
      & n7 = sum(n11,n12)
      & n7 = sum(n12,n11)
      & n5 = sum(n8,n13)
      & n0 != n6
      & n4 != n13
      & n3 != n7
      & sK29 = sum(sum(pred(sK19),succ(sK12)),sum(pred(sK12),succ(sK19)))
      & ( sK5 != sK13
        | sK31 != sK27
        | sK1 != sK30
        | sK20 != sK6
        | sK28 != sK23
        | sK29 != sK25
        | sK12 != sK19
        | sK17 != sK4
        | sK8 != sK11
        | sK2 != sK16
        | sK18 != sK10
        | sK0 != sK21
        | sK15 != sK24
        | sK9 != sK3
        | sK26 != sK22 )
      & n1 = sum(n0,n1)
      & n6 = sum(n13,n9)
      & n12 = sum(n5,n7)
      & n10 = sum(n11,n15)
      & n9 = sum(n0,n9)
      & n0 != n11
      & n4 = sum(n7,n13)
      & n4 != n14
      & n7 != n8
      & n7 = sum(n15,n8)
      & succ(n7) = n8 ) ),
    introduced(choice_axiom,[]) ).

fof(f3,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31] :
      ( n6 != n13
      & n13 = sum(n12,n1)
      & n3 = sum(n9,n10)
      & n0 = sum(n15,n1)
      & ( n13 = X7
        | n0 = X7
        | n4 = X7
        | n9 = X7
        | n12 = X7
        | n11 = X7
        | n15 = X7
        | n2 = X7
        | n14 = X7
        | n1 = X7
        | n8 = X7
        | n7 = X7
        | n5 = X7
        | n10 = X7
        | n6 = X7
        | n3 = X7 )
      & n5 = pred(n6)
      & n5 != n7
      & n5 != n11
      & n14 = sum(n3,n11)
      & n8 = sum(n12,n12)
      & n0 != n4
      & n15 = sum(n3,n12)
      & n9 = sum(n9,n0)
      & n1 = sum(n4,n13)
      & n3 != n9
      & n3 = sum(n4,n15)
      & n12 = pred(n13)
      & n15 = pred(n0)
      & n8 != n12
      & n7 = sum(n6,n1)
      & n0 = sum(n7,n9)
      & n8 = sum(n0,n8)
      & n8 != n9
      & n3 != n14
      & n9 = sum(n8,n1)
      & n7 != n13
      & sum(sum(pred(X29),succ(X29)),sum(pred(X25),succ(X25))) = X31
      & sum(sum(pred(X21),succ(X0)),sum(pred(X0),succ(X21))) = X6
      & n1 = sum(n14,n3)
      & n1 = sum(n12,n5)
      & n3 != n8
      & n6 != n8
      & n3 = sum(n15,n4)
      & n13 = sum(n9,n4)
      & n1 != n7
      & n14 = sum(n7,n7)
      & n7 = sum(n14,n9)
      & n11 = sum(n15,n12)
      & n0 = sum(n6,n10)
      & n2 = sum(n1,n1)
      & n15 = sum(n5,n10)
      & n10 = sum(n8,n2)
      & n0 = sum(n2,n14)
      & n3 = sum(n7,n12)
      & n2 = sum(n6,n12)
      & n0 != n7
      & n10 = sum(n9,n1)
      & n3 = sum(n6,n13)
      & n1 = sum(n3,n14)
      & n12 != n13
      & n12 = sum(n11,n1)
      & n12 = sum(n15,n13)
      & n4 = sum(n6,n14)
      & n3 != n15
      & n10 != n11
      & n5 != n9
      & sum(sum(pred(X1),succ(X1)),sum(pred(X30),succ(X30))) = X4
      & n14 = sum(n1,n13)
      & n10 = sum(n3,n7)
      & n1 != n5
      & n3 != n6
      & n5 = sum(n6,n15)
      & n13 = sum(n13,n0)
      & n7 = sum(n13,n10)
      & n2 != n8
      & n14 = sum(n8,n6)
      & n3 = sum(n11,n8)
      & n12 = sum(n12,n0)
      & n5 = sum(n4,n1)
      & sum(sum(pred(X1),succ(X30)),sum(pred(X30),succ(X1))) = X17
      & sum(sum(pred(X14),succ(X7)),sum(pred(X7),succ(X14))) = X24
      & n4 = sum(n3,n1)
      & n3 = sum(n1,n2)
      & n11 = sum(n12,n15)
      & n5 = sum(n7,n14)
      & n4 = sum(n15,n5)
      & n8 = sum(n7,n1)
      & n15 = sum(n15,n0)
      & n11 = sum(n10,n1)
      & n11 != n12
      & n4 = sum(n13,n7)
      & n3 != n4
      & n0 = sum(n13,n3)
      & n8 = sum(n15,n9)
      & n7 != n14
      & n6 = sum(n15,n7)
      & n4 = sum(n9,n11)
      & n2 = sum(n13,n5)
      & n0 = sum(n12,n4)
      & n6 = sum(n6,n0)
      & n8 = sum(n13,n11)
      & n6 = sum(n8,n14)
      & n14 = sum(n2,n12)
      & n6 = sum(n14,n8)
      & n8 = sum(n1,n7)
      & sum(sum(pred(X8),succ(X8)),sum(pred(X11),succ(X11))) = X2
      & n8 != n14
      & n5 = sum(n9,n12)
      & n3 != n10
      & sum(sum(pred(X19),succ(X19)),sum(pred(X12),succ(X12))) = X25
      & n2 != n12
      & n2 = sum(n14,n4)
      & n10 != n12
      & n0 = sum(n10,n6)
      & n5 = sum(n12,n9)
      & n13 != n15
      & n1 = sum(n13,n4)
      & n0 = sum(n9,n7)
      & n4 != n12
      & n2 = sum(n4,n14)
      & n10 = sum(n0,n10)
      & sum(sum(pred(X28),succ(X28)),sum(pred(X23),succ(X23))) = X11
      & sum(sum(pred(X17),succ(X17)),sum(pred(X4),succ(X4))) = X22
      & n3 = sum(n12,n7)
      & n8 != n13
      & n5 = sum(n2,n3)
      & n11 != n15
      & n6 != n7
      & n13 = sum(n6,n7)
      & n11 = sum(n9,n2)
      & n7 = sum(n7,n0)
      & n8 = sum(n6,n2)
      & n6 = sum(n0,n6)
      & n0 != n13
      & n9 != n11
      & n3 != n13
      & n11 = pred(n12)
      & n10 = sum(n5,n5)
      & n5 = sum(n13,n8)
      & sum(sum(pred(X6),succ(X6)),sum(pred(X20),succ(X20))) = X12
      & n4 != n7
      & n6 != n14
      & n9 != n14
      & n13 = sum(n0,n13)
      & sum(sum(pred(X27),succ(X27)),sum(pred(X31),succ(X31))) = X9
      & n8 = sum(n11,n13)
      & n2 = pred(n3)
      & n8 = sum(n14,n10)
      & n13 = sum(n7,n6)
      & n4 = sum(n14,n6)
      & n0 != n3
      & n8 = sum(n3,n5)
      & n12 = sum(n14,n14)
      & n7 = sum(n8,n15)
      & n3 != n11
      & sum(sum(pred(X24),succ(X24)),sum(pred(X15),succ(X15))) = X0
      & n3 != n5
      & n3 = sum(n13,n6)
      & n6 = sum(n4,n2)
      & n6 = pred(n7)
      & n10 = sum(n13,n13)
      & n15 = sum(n10,n5)
      & n5 != n14
      & sum(sum(pred(X8),succ(X11)),sum(pred(X11),succ(X8))) = X16
      & n6 = sum(n2,n4)
      & ( n14 = X14
        | n15 = X14
        | n1 = X14
        | n3 = X14
        | n6 = X14
        | n7 = X14
        | n4 = X14
        | n13 = X14
        | n11 = X14
        | n9 = X14
        | n2 = X14
        | n8 = X14
        | n0 = X14
        | n12 = X14
        | n5 = X14
        | n10 = X14 )
      & sum(sum(pred(X16),succ(X16)),sum(pred(X2),succ(X2))) = X5
      & n14 = sum(n0,n14)
      & n2 = sum(n11,n7)
      & sum(sum(pred(X18),succ(X18)),sum(pred(X10),succ(X10))) = X23
      & n11 != n14
      & n5 = sum(n14,n7)
      & n6 != n11
      & n10 = sum(n4,n6)
      & n0 != n10
      & n10 = sum(n15,n11)
      & sum(sum(pred(X28),succ(X23)),sum(pred(X23),succ(X28))) = X8
      & n11 = sum(n8,n3)
      & n3 = sum(n0,n3)
      & n1 = sum(n6,n11)
      & n4 = sum(n4,n0)
      & n7 = sum(n1,n6)
      & n9 = sum(n5,n4)
      & succ(n2) = n3
      & n3 = sum(n2,n1)
      & n12 = sum(n7,n5)
      & n2 != n11
      & n5 != n15
      & n0 = sum(n3,n13)
      & n2 != n15
      & n4 = sum(n1,n3)
      & n6 = sum(n3,n3)
      & n6 = sum(n7,n15)
      & n1 != n14
      & n5 = sum(n1,n4)
      & sum(sum(pred(X17),succ(X4)),sum(pred(X4),succ(X17))) = X26
      & n4 = sum(n5,n15)
      & n13 = sum(n5,n8)
      & n0 = succ(n15)
      & n10 = sum(n14,n12)
      & n11 = sum(n7,n4)
      & n7 = sum(n3,n4)
      & n5 != n10
      & n0 != n5
      & n4 != n5
      & n6 = sum(n5,n1)
      & n3 != n12
      & n0 != n8
      & n2 = sum(n12,n6)
      & n8 != n15
      & n0 != n2
      & n7 != n10
      & n4 = sum(n12,n8)
      & sum(sum(pred(X6),succ(X20)),sum(pred(X20),succ(X6))) = X19
      & n6 != n10
      & n10 = sum(n10,n0)
      & n15 = sum(n2,n13)
      & n3 = sum(n8,n11)
      & n14 = sum(n15,n15)
      & n2 != n10
      & n11 = sum(n2,n9)
      & n4 != n6
      & n6 = sum(n9,n13)
      & succ(n9) = n10
      & n5 != n8
      & n4 != n15
      & n11 = sum(n4,n7)
      & n15 = sum(n6,n9)
      & n9 = sum(n7,n2)
      & sum(sum(pred(X21),succ(X21)),sum(pred(X0),succ(X0))) = X20
      & n8 = sum(n4,n4)
      & n15 = sum(n9,n6)
      & n8 = sum(n5,n3)
      & n4 = sum(n0,n4)
      & n12 = sum(n13,n15)
      & n1 = sum(n8,n9)
      & n14 = sum(n5,n9)
      & n1 = sum(n7,n10)
      & n9 = sum(n14,n11)
      & n0 != n12
      & n9 = sum(n4,n5)
      & n0 = sum(n0,n0)
      & n14 = sum(n9,n5)
      & n8 = sum(n10,n14)
      & n0 = pred(n1)
      & n14 = sum(n13,n1)
      & sum(sum(pred(X13),succ(X5)),sum(pred(X5),succ(X13))) = X1
      & n13 = sum(n8,n5)
      & n9 = sum(n12,n13)
      & n1 != n12
      & n15 = sum(n7,n8)
      & n0 != n9
      & n10 = sum(n1,n9)
      & n0 != n1
      & n14 = sum(n12,n2)
      & n15 = sum(n13,n2)
      & n1 = sum(n5,n12)
      & n3 = pred(n4)
      & n15 = sum(n4,n11)
      & n1 != n6
      & n11 = sum(n5,n6)
      & n1 != n15
      & n6 != n9
      & n14 = sum(n11,n3)
      & n5 != n13
      & n2 = sum(n0,n2)
      & n2 != n9
      & n2 = sum(n3,n15)
      & n7 = pred(n8)
      & n6 = sum(n11,n11)
      & n14 = sum(n6,n8)
      & n2 != n5
      & n6 = sum(n1,n5)
      & n1 = pred(n2)
      & n0 = sum(n8,n8)
      & n8 != n11
      & n11 = sum(n13,n14)
      & n1 = sum(n9,n8)
      & n12 = sum(n9,n3)
      & n7 = sum(n4,n3)
      & n12 = sum(n10,n2)
      & n0 = sum(n4,n12)
      & n2 != n3
      & n12 = sum(n1,n11)
      & n9 = sum(n11,n14)
      & n0 != n14
      & n9 = sum(n1,n8)
      & n12 = sum(n8,n4)
      & sum(sum(pred(X3),succ(X3)),sum(pred(X9),succ(X9))) = X10
      & n13 = sum(n11,n2)
      & n10 != n15
      & n2 = sum(n7,n11)
      & n2 != n4
      & n12 = sum(n4,n8)
      & n13 = sum(n4,n9)
      & n15 = sum(n1,n14)
      & n15 = sum(n8,n7)
      & n11 = sum(n0,n11)
      & n14 != n15
      & n9 = sum(n10,n15)
      & n0 = sum(n5,n11)
      & sum(sum(pred(X29),succ(X25)),sum(pred(X25),succ(X29))) = X27
      & n13 = sum(n15,n14)
      & n7 = sum(n10,n13)
      & n7 = sum(n5,n2)
      & sum(sum(pred(X27),succ(X31)),sum(pred(X31),succ(X27))) = X3
      & n15 = sum(n12,n3)
      & n7 = sum(n0,n7)
      & n10 = sum(n7,n3)
      & n9 != n10
      & sum(sum(pred(X13),succ(X13)),sum(pred(X5),succ(X5))) = X30
      & n14 = pred(n15)
      & n12 = sum(n3,n9)
      & n13 = pred(n14)
      & n0 != n15
      & n0 = sum(n14,n2)
      & n1 = sum(n10,n7)
      & n13 = sum(n14,n15)
      & n8 = pred(n9)
      & n7 = sum(n2,n5)
      & n3 = sum(n10,n9)
      & n11 != n13
      & n5 = sum(n5,n0)
      & n9 != n15
      & n9 = sum(n2,n7)
      & n5 = sum(n15,n6)
      & n10 != n13
      & n4 != n10
      & succ(n1) = n2
      & succ(n12) = n13
      & n11 = sum(n6,n5)
      & n10 = pred(n11)
      & n14 = sum(n14,n0)
      & n10 = sum(n12,n14)
      & n11 = sum(n11,n0)
      & n7 != n12
      & n7 != n15
      & n1 != n11
      & n1 != n10
      & succ(n14) = n15
      & n6 != n12
      & n7 != n9
      & n7 != n11
      & n3 = sum(n5,n14)
      & n3 = sum(n3,n0)
      & n5 = sum(n3,n2)
      & n14 = sum(n4,n10)
      & n4 != n11
      & n2 = sum(n10,n8)
      & n9 = sum(n6,n3)
      & n12 = sum(n6,n6)
      & n2 != n6
      & n2 = sum(n9,n9)
      & n10 != n14
      & n4 = sum(n8,n12)
      & sum(sum(pred(X18),succ(X10)),sum(pred(X10),succ(X18))) = X28
      & n8 = sum(n2,n6)
      & n1 != n2
      & n8 != n10
      & n2 != n13
      & n4 != n8
      & n10 = sum(n2,n8)
      & sum(sum(pred(X16),succ(X2)),sum(pred(X2),succ(X16))) = X13
      & n14 = sum(n10,n4)
      & n7 = sum(n9,n14)
      & n13 = sum(n1,n12)
      & sum(sum(pred(X3),succ(X9)),sum(pred(X9),succ(X3))) = X18
      & succ(n13) = n14
      & n6 = sum(n12,n10)
      & n13 != n14
      & n1 != n4
      & n2 = sum(n2,n0)
      & n4 = pred(n5)
      & n6 = sum(n10,n12)
      & n12 != n14
      & n2 = sum(n5,n13)
      & succ(n0) = n1
      & n2 != n7
      & n12 = sum(n2,n10)
      & n15 = sum(n11,n4)
      & n5 = sum(n10,n11)
      & n1 != n8
      & n5 = sum(n0,n5)
      & n1 != n3
      & n1 = sum(n2,n15)
      & succ(n6) = n7
      & n9 = sum(n13,n12)
      & sum(sum(pred(X14),succ(X14)),sum(pred(X7),succ(X7))) = X15
      & n13 = sum(n3,n10)
      & n5 != n6
      & n4 = sum(n11,n9)
      & n12 = sum(n0,n12)
      & n13 = sum(n10,n3)
      & n1 != n9
      & succ(n5) = n6
      & n4 != n9
      & succ(n11) = n12
      & n8 = sum(n9,n15)
      & n11 = sum(n14,n13)
      & n10 = sum(n6,n4)
      & n0 = sum(n1,n15)
      & n6 != n15
      & n2 != n14
      & n15 = sum(n0,n15)
      & n0 = sum(n11,n5)
      & n1 != n13
      & n4 = sum(n10,n10)
      & n9 != n13
      & n5 = sum(n11,n10)
      & n2 = sum(n15,n3)
      & n4 = sum(n2,n2)
      & n11 = sum(n1,n10)
      & succ(n4) = n5
      & n2 = sum(n8,n10)
      & n15 = sum(n14,n1)
      & n3 = sum(n14,n5)
      & n1 = sum(n15,n2)
      & n9 != n12
      & n9 = sum(n3,n6)
      & n5 != n12
      & sum(sum(pred(X24),succ(X15)),sum(pred(X15),succ(X24))) = X21
      & n12 != n15
      & succ(n10) = n11
      & n1 = sum(n1,n0)
      & n1 = sum(n11,n6)
      & n11 = sum(n3,n8)
      & succ(n8) = n9
      & n8 = sum(n8,n0)
      & n9 = sum(n15,n10)
      & n9 = pred(n10)
      & succ(n3) = n4
      & n13 = sum(n2,n11)
      & n7 = sum(n11,n12)
      & n7 = sum(n12,n11)
      & n5 = sum(n8,n13)
      & n0 != n6
      & n4 != n13
      & n3 != n7
      & sum(sum(pred(X19),succ(X12)),sum(pred(X12),succ(X19))) = X29
      & ( X5 != X13
        | X27 != X31
        | X1 != X30
        | X6 != X20
        | X23 != X28
        | X25 != X29
        | X12 != X19
        | X4 != X17
        | X8 != X11
        | X2 != X16
        | X10 != X18
        | X0 != X21
        | X15 != X24
        | X3 != X9
        | X22 != X26 )
      & n1 = sum(n0,n1)
      & n6 = sum(n13,n9)
      & n12 = sum(n5,n7)
      & n10 = sum(n11,n15)
      & n9 = sum(n0,n9)
      & n0 != n11
      & n4 = sum(n7,n13)
      & n4 != n14
      & n7 != n8
      & n7 = sum(n15,n8)
      & succ(n7) = n8 ),
    inference(rectify,[],[f2]) ).

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

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

fof(f2822,plain,
    spl32_484,
    inference(avatar_split_clause,[],[f169,f2819]) ).

fof(f2819,plain,
    ( spl32_484
  <=> n12 = sum(n8,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_484])]) ).

fof(f169,plain,
    n12 = sum(n8,n4),
    inference(cnf_transformation,[],[f5]) ).

fof(f2817,plain,
    spl32_483,
    inference(avatar_split_clause,[],[f128,f2814]) ).

fof(f2814,plain,
    ( spl32_483
  <=> succ(n1) = n2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_483])]) ).

fof(f128,plain,
    succ(n1) = n2,
    inference(cnf_transformation,[],[f5]) ).

fof(f2812,plain,
    spl32_482,
    inference(avatar_split_clause,[],[f32,f2809]) ).

fof(f2809,plain,
    ( spl32_482
  <=> n1 = sum(n11,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_482])]) ).

fof(f32,plain,
    n1 = sum(n11,n6),
    inference(cnf_transformation,[],[f5]) ).

fof(f2807,plain,
    spl32_481,
    inference(avatar_split_clause,[],[f371,f2804]) ).

fof(f2804,plain,
    ( spl32_481
  <=> n4 = sum(n15,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_481])]) ).

fof(f371,plain,
    n4 = sum(n15,n5),
    inference(cnf_transformation,[],[f5]) ).

fof(f2802,plain,
    spl32_480,
    inference(avatar_split_clause,[],[f379,f2799]) ).

fof(f2799,plain,
    ( spl32_480
  <=> n12 = sum(n12,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_480])]) ).

fof(f379,plain,
    n12 = sum(n12,n0),
    inference(cnf_transformation,[],[f5]) ).

fof(f2797,plain,
    spl32_479,
    inference(avatar_split_clause,[],[f184,f2794]) ).

fof(f2794,plain,
    ( spl32_479
  <=> n6 = sum(n1,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_479])]) ).

fof(f184,plain,
    n6 = sum(n1,n5),
    inference(cnf_transformation,[],[f5]) ).

fof(f2792,plain,
    spl32_478,
    inference(avatar_split_clause,[],[f331,f2789]) ).

fof(f2789,plain,
    ( spl32_478
  <=> n5 = sum(n2,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_478])]) ).

fof(f331,plain,
    n5 = sum(n2,n3),
    inference(cnf_transformation,[],[f5]) ).

fof(f2787,plain,
    spl32_477,
    inference(avatar_split_clause,[],[f358,f2784]) ).

fof(f2784,plain,
    ( spl32_477
  <=> n0 = sum(n12,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_477])]) ).

fof(f358,plain,
    n0 = sum(n12,n4),
    inference(cnf_transformation,[],[f5]) ).

fof(f2782,plain,
    spl32_476,
    inference(avatar_split_clause,[],[f317,f2779]) ).

fof(f2779,plain,
    ( spl32_476
  <=> sum(sum(pred(sK6),succ(sK6)),sum(pred(sK20),succ(sK20))) = sK12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_476])]) ).

fof(f317,plain,
    sum(sum(pred(sK6),succ(sK6)),sum(pred(sK20),succ(sK20))) = sK12,
    inference(cnf_transformation,[],[f5]) ).

fof(f2777,plain,
    spl32_475,
    inference(avatar_split_clause,[],[f159,f2774]) ).

fof(f2774,plain,
    ( spl32_475
  <=> n11 = sum(n0,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_475])]) ).

fof(f159,plain,
    n11 = sum(n0,n11),
    inference(cnf_transformation,[],[f5]) ).

fof(f2772,plain,
    spl32_474,
    inference(avatar_split_clause,[],[f16,f2769]) ).

fof(f2769,plain,
    ( spl32_474
  <=> n1 = sum(n0,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_474])]) ).

fof(f16,plain,
    n1 = sum(n0,n1),
    inference(cnf_transformation,[],[f5]) ).

fof(f2767,plain,
    ~ spl32_473,
    inference(avatar_split_clause,[],[f341,f2764]) ).

fof(f2764,plain,
    ( spl32_473
  <=> n13 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_473])]) ).

fof(f341,plain,
    n13 != n15,
    inference(cnf_transformation,[],[f5]) ).

fof(f2762,plain,
    ~ spl32_472,
    inference(avatar_split_clause,[],[f245,f2759]) ).

fof(f2759,plain,
    ( spl32_472
  <=> n7 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_472])]) ).

fof(f245,plain,
    n7 != n10,
    inference(cnf_transformation,[],[f5]) ).

fof(f2757,plain,
    ~ spl32_471,
    inference(avatar_split_clause,[],[f174,f2754]) ).

fof(f2754,plain,
    ( spl32_471
  <=> n2 = n3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_471])]) ).

fof(f174,plain,
    n2 != n3,
    inference(cnf_transformation,[],[f5]) ).

fof(f2752,plain,
    spl32_470,
    inference(avatar_split_clause,[],[f273,f2749]) ).

fof(f2749,plain,
    ( spl32_470
  <=> succ(n2) = n3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_470])]) ).

fof(f273,plain,
    succ(n2) = n3,
    inference(cnf_transformation,[],[f5]) ).

fof(f2747,plain,
    spl32_469,
    inference(avatar_split_clause,[],[f243,f2744]) ).

fof(f2744,plain,
    ( spl32_469
  <=> sK19 = sum(sum(pred(sK6),succ(sK20)),sum(pred(sK20),succ(sK6))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_469])]) ).

fof(f243,plain,
    sK19 = sum(sum(pred(sK6),succ(sK20)),sum(pred(sK20),succ(sK6))),
    inference(cnf_transformation,[],[f5]) ).

fof(f2742,plain,
    spl32_468,
    inference(avatar_split_clause,[],[f359,f2739]) ).

fof(f2739,plain,
    ( spl32_468
  <=> n2 = sum(n13,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_468])]) ).

fof(f359,plain,
    n2 = sum(n13,n5),
    inference(cnf_transformation,[],[f5]) ).

fof(f2737,plain,
    ~ spl32_467,
    inference(avatar_split_clause,[],[f118,f2734]) ).

fof(f2734,plain,
    ( spl32_467
  <=> n1 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_467])]) ).

fof(f118,plain,
    n1 != n10,
    inference(cnf_transformation,[],[f5]) ).

fof(f2732,plain,
    spl32_466,
    inference(avatar_split_clause,[],[f259,f2729]) ).

fof(f2729,plain,
    ( spl32_466
  <=> n13 = sum(n5,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_466])]) ).

fof(f259,plain,
    n13 = sum(n5,n8),
    inference(cnf_transformation,[],[f5]) ).

fof(f2727,plain,
    ~ spl32_465,
    inference(avatar_split_clause,[],[f98,f2724]) ).

fof(f2724,plain,
    ( spl32_465
  <=> n8 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_465])]) ).

fof(f98,plain,
    n8 != n10,
    inference(cnf_transformation,[],[f5]) ).

fof(f2722,plain,
    spl32_464,
    inference(avatar_split_clause,[],[f110,f2719]) ).

fof(f2719,plain,
    ( spl32_464
  <=> n14 = sum(n4,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_464])]) ).

fof(f110,plain,
    n14 = sum(n4,n10),
    inference(cnf_transformation,[],[f5]) ).

fof(f2717,plain,
    spl32_463,
    inference(avatar_split_clause,[],[f151,f2714]) ).

fof(f2714,plain,
    ( spl32_463
  <=> sum(sum(pred(sK27),succ(sK31)),sum(pred(sK31),succ(sK27))) = sK3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_463])]) ).

fof(f151,plain,
    sum(sum(pred(sK27),succ(sK31)),sum(pred(sK31),succ(sK27))) = sK3,
    inference(cnf_transformation,[],[f5]) ).

fof(f2712,plain,
    ~ spl32_462,
    inference(avatar_split_clause,[],[f423,f2709]) ).

fof(f2709,plain,
    ( spl32_462
  <=> n3 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_462])]) ).

fof(f423,plain,
    n3 != n14,
    inference(cnf_transformation,[],[f5]) ).

fof(f2707,plain,
    spl32_461,
    inference(avatar_split_clause,[],[f173,f2704]) ).

fof(f2704,plain,
    ( spl32_461
  <=> n12 = sum(n1,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_461])]) ).

fof(f173,plain,
    n12 = sum(n1,n11),
    inference(cnf_transformation,[],[f5]) ).

fof(f2702,plain,
    spl32_460,
    inference(avatar_split_clause,[],[f165,f2699]) ).

fof(f2699,plain,
    ( spl32_460
  <=> n2 = sum(n7,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_460])]) ).

fof(f165,plain,
    n2 = sum(n7,n11),
    inference(cnf_transformation,[],[f5]) ).

fof(f2697,plain,
    spl32_459,
    inference(avatar_split_clause,[],[f112,f2694]) ).

fof(f2694,plain,
    ( spl32_459
  <=> n3 = sum(n3,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_459])]) ).

fof(f112,plain,
    n3 = sum(n3,n0),
    inference(cnf_transformation,[],[f5]) ).

fof(f2692,plain,
    ~ spl32_458,
    inference(avatar_split_clause,[],[f61,f2689]) ).

fof(f2689,plain,
    ( spl32_458
  <=> n4 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_458])]) ).

fof(f61,plain,
    n4 != n9,
    inference(cnf_transformation,[],[f5]) ).

fof(f2687,plain,
    spl32_457,
    inference(avatar_split_clause,[],[f366,f2684]) ).

fof(f2684,plain,
    ( spl32_457
  <=> n4 = sum(n13,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_457])]) ).

fof(f366,plain,
    n4 = sum(n13,n7),
    inference(cnf_transformation,[],[f5]) ).

fof(f2682,plain,
    ~ spl32_456,
    inference(avatar_split_clause,[],[f82,f2679]) ).

fof(f2679,plain,
    ( spl32_456
  <=> n12 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_456])]) ).

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

fof(f2677,plain,
    spl32_455,
    inference(avatar_split_clause,[],[f214,f2674]) ).

fof(f2674,plain,
    ( spl32_455
  <=> n14 = sum(n9,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_455])]) ).

fof(f214,plain,
    n14 = sum(n9,n5),
    inference(cnf_transformation,[],[f5]) ).

fof(f2672,plain,
    spl32_454,
    inference(avatar_split_clause,[],[f384,f2669]) ).

fof(f2669,plain,
    ( spl32_454
  <=> n13 = sum(n13,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_454])]) ).

fof(f384,plain,
    n13 = sum(n13,n0),
    inference(cnf_transformation,[],[f5]) ).

fof(f2667,plain,
    spl32_453,
    inference(avatar_split_clause,[],[f140,f2664]) ).

fof(f2664,plain,
    ( spl32_453
  <=> n1 = sum(n10,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_453])]) ).

fof(f140,plain,
    n1 = sum(n10,n7),
    inference(cnf_transformation,[],[f5]) ).

fof(f2662,plain,
    spl32_452,
    inference(avatar_split_clause,[],[f394,f2659]) ).

fof(f2659,plain,
    ( spl32_452
  <=> n4 = sum(n6,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_452])]) ).

fof(f394,plain,
    n4 = sum(n6,n14),
    inference(cnf_transformation,[],[f5]) ).

fof(f2657,plain,
    spl32_451,
    inference(avatar_split_clause,[],[f295,f2654]) ).

fof(f2654,plain,
    ( spl32_451
  <=> n15 = sum(n10,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_451])]) ).

fof(f295,plain,
    n15 = sum(n10,n5),
    inference(cnf_transformation,[],[f5]) ).

fof(f2652,plain,
    spl32_450,
    inference(avatar_split_clause,[],[f52,f2649]) ).

fof(f2649,plain,
    ( spl32_450
  <=> n0 = sum(n11,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_450])]) ).

fof(f52,plain,
    n0 = sum(n11,n5),
    inference(cnf_transformation,[],[f5]) ).

fof(f2647,plain,
    ~ spl32_449,
    inference(avatar_split_clause,[],[f237,f2644]) ).

fof(f2644,plain,
    ( spl32_449
  <=> n2 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_449])]) ).

fof(f237,plain,
    n2 != n10,
    inference(cnf_transformation,[],[f5]) ).

fof(f2642,plain,
    spl32_448,
    inference(avatar_split_clause,[],[f363,f2639]) ).

fof(f2639,plain,
    ( spl32_448
  <=> n8 = sum(n15,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_448])]) ).

fof(f363,plain,
    n8 = sum(n15,n9),
    inference(cnf_transformation,[],[f5]) ).

fof(f2637,plain,
    spl32_447,
    inference(avatar_split_clause,[],[f56,f2634]) ).

fof(f2634,plain,
    ( spl32_447
  <=> n0 = sum(n1,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_447])]) ).

fof(f56,plain,
    n0 = sum(n1,n15),
    inference(cnf_transformation,[],[f5]) ).

fof(f2632,plain,
    spl32_446,
    inference(avatar_split_clause,[],[f264,f2629]) ).

fof(f2629,plain,
    ( spl32_446
  <=> n6 = sum(n7,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_446])]) ).

fof(f264,plain,
    n6 = sum(n7,n15),
    inference(cnf_transformation,[],[f5]) ).

fof(f2627,plain,
    ~ spl32_445,
    inference(avatar_split_clause,[],[f217,f2624]) ).

fof(f2624,plain,
    ( spl32_445
  <=> n0 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_445])]) ).

fof(f217,plain,
    n0 != n12,
    inference(cnf_transformation,[],[f5]) ).

fof(f2622,plain,
    ~ spl32_444,
    inference(avatar_split_clause,[],[f350,f2619]) ).

fof(f2619,plain,
    ( spl32_444
  <=> n8 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_444])]) ).

fof(f350,plain,
    n8 != n14,
    inference(cnf_transformation,[],[f5]) ).

fof(f2617,plain,
    spl32_443,
    inference(avatar_split_clause,[],[f426,f2614]) ).

fof(f2614,plain,
    ( spl32_443
  <=> n0 = sum(n7,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_443])]) ).

fof(f426,plain,
    n0 = sum(n7,n9),
    inference(cnf_transformation,[],[f5]) ).

fof(f2612,plain,
    spl32_442,
    inference(avatar_split_clause,[],[f91,f2609]) ).

fof(f2609,plain,
    ( spl32_442
  <=> n13 = sum(n1,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_442])]) ).

fof(f91,plain,
    n13 = sum(n1,n12),
    inference(cnf_transformation,[],[f5]) ).

fof(f2607,plain,
    spl32_441,
    inference(avatar_split_clause,[],[f438,f2604]) ).

fof(f2604,plain,
    ( spl32_441
  <=> n14 = sum(n3,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_441])]) ).

fof(f438,plain,
    n14 = sum(n3,n11),
    inference(cnf_transformation,[],[f5]) ).

fof(f2602,plain,
    spl32_440,
    inference(avatar_split_clause,[],[f127,f2599]) ).

fof(f2599,plain,
    ( spl32_440
  <=> succ(n12) = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_440])]) ).

fof(f127,plain,
    succ(n12) = n13,
    inference(cnf_transformation,[],[f5]) ).

fof(f2597,plain,
    spl32_439,
    inference(avatar_split_clause,[],[f289,f2594]) ).

fof(f2594,plain,
    ( spl32_439
  <=> n14 = sum(n0,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_439])]) ).

fof(f289,plain,
    n14 = sum(n0,n14),
    inference(cnf_transformation,[],[f5]) ).

fof(f2592,plain,
    spl32_438,
    inference(avatar_split_clause,[],[f425,f2589]) ).

fof(f2589,plain,
    ( spl32_438
  <=> n8 = sum(n0,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_438])]) ).

fof(f425,plain,
    n8 = sum(n0,n8),
    inference(cnf_transformation,[],[f5]) ).

fof(f2587,plain,
    spl32_437,
    inference(avatar_split_clause,[],[f268,f2584]) ).

fof(f2584,plain,
    ( spl32_437
  <=> n0 = sum(n3,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_437])]) ).

fof(f268,plain,
    n0 = sum(n3,n13),
    inference(cnf_transformation,[],[f5]) ).

fof(f2582,plain,
    ~ spl32_436,
    inference(avatar_split_clause,[],[f129,f2579]) ).

fof(f2579,plain,
    ( spl32_436
  <=> n4 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_436])]) ).

fof(f129,plain,
    n4 != n10,
    inference(cnf_transformation,[],[f5]) ).

fof(f2577,plain,
    spl32_435,
    inference(avatar_split_clause,[],[f107,f2574]) ).

fof(f2574,plain,
    ( spl32_435
  <=> n9 = sum(n6,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_435])]) ).

fof(f107,plain,
    n9 = sum(n6,n3),
    inference(cnf_transformation,[],[f5]) ).

fof(f2572,plain,
    spl32_434,
    inference(avatar_split_clause,[],[f327,f2569]) ).

fof(f2569,plain,
    ( spl32_434
  <=> n11 = sum(n9,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_434])]) ).

fof(f327,plain,
    n11 = sum(n9,n2),
    inference(cnf_transformation,[],[f5]) ).

fof(f2567,plain,
    spl32_433,
    inference(avatar_split_clause,[],[f296,f2564]) ).

fof(f2564,plain,
    ( spl32_433
  <=> n10 = sum(n13,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_433])]) ).

fof(f296,plain,
    n10 = sum(n13,n13),
    inference(cnf_transformation,[],[f5]) ).

fof(f2562,plain,
    spl32_432,
    inference(avatar_split_clause,[],[f10,f2559]) ).

fof(f2559,plain,
    ( spl32_432
  <=> n4 = sum(n7,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_432])]) ).

fof(f10,plain,
    n4 = sum(n7,n13),
    inference(cnf_transformation,[],[f5]) ).

fof(f2557,plain,
    ~ spl32_431,
    inference(avatar_split_clause,[],[f79,f2554]) ).

fof(f2554,plain,
    ( spl32_431
  <=> n2 = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_431])]) ).

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

fof(f2552,plain,
    spl32_430,
    inference(avatar_split_clause,[],[f304,f2549]) ).

fof(f2549,plain,
    ( spl32_430
  <=> n12 = sum(n14,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_430])]) ).

fof(f304,plain,
    n12 = sum(n14,n14),
    inference(cnf_transformation,[],[f5]) ).

fof(f2547,plain,
    spl32_429,
    inference(avatar_split_clause,[],[f85,f2544]) ).

fof(f2544,plain,
    ( spl32_429
  <=> n2 = sum(n2,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_429])]) ).

fof(f85,plain,
    n2 = sum(n2,n0),
    inference(cnf_transformation,[],[f5]) ).

fof(f2542,plain,
    spl32_428,
    inference(avatar_split_clause,[],[f339,f2539]) ).

fof(f2539,plain,
    ( spl32_428
  <=> n0 = sum(n9,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_428])]) ).

fof(f339,plain,
    n0 = sum(n9,n7),
    inference(cnf_transformation,[],[f5]) ).

fof(f2537,plain,
    spl32_427,
    inference(avatar_split_clause,[],[f100,f2534]) ).

fof(f2534,plain,
    ( spl32_427
  <=> n8 = sum(n2,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_427])]) ).

fof(f100,plain,
    n8 = sum(n2,n6),
    inference(cnf_transformation,[],[f5]) ).

fof(f2532,plain,
    spl32_426,
    inference(avatar_split_clause,[],[f137,f2529]) ).

fof(f2529,plain,
    ( spl32_426
  <=> n7 = sum(n2,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_426])]) ).

fof(f137,plain,
    n7 = sum(n2,n5),
    inference(cnf_transformation,[],[f5]) ).

fof(f2527,plain,
    spl32_425,
    inference(avatar_split_clause,[],[f113,f2524]) ).

fof(f2524,plain,
    ( spl32_425
  <=> n3 = sum(n5,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_425])]) ).

fof(f113,plain,
    n3 = sum(n5,n14),
    inference(cnf_transformation,[],[f5]) ).

fof(f2522,plain,
    spl32_424,
    inference(avatar_split_clause,[],[f188,f2519]) ).

fof(f2519,plain,
    ( spl32_424
  <=> n7 = pred(n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_424])]) ).

fof(f188,plain,
    n7 = pred(n8),
    inference(cnf_transformation,[],[f5]) ).

fof(f2517,plain,
    spl32_423,
    inference(avatar_split_clause,[],[f131,f2514]) ).

fof(f2514,plain,
    ( spl32_423
  <=> n5 = sum(n15,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_423])]) ).

fof(f131,plain,
    n5 = sum(n15,n6),
    inference(cnf_transformation,[],[f5]) ).

fof(f2512,plain,
    ~ spl32_422,
    inference(avatar_split_clause,[],[f63,f2509]) ).

fof(f2509,plain,
    ( spl32_422
  <=> n1 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_422])]) ).

fof(f63,plain,
    n1 != n9,
    inference(cnf_transformation,[],[f5]) ).

fof(f2507,plain,
    spl32_421,
    inference(avatar_split_clause,[],[f353,f2504]) ).

fof(f2504,plain,
    ( spl32_421
  <=> n6 = sum(n14,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_421])]) ).

fof(f353,plain,
    n6 = sum(n14,n8),
    inference(cnf_transformation,[],[f5]) ).

fof(f2502,plain,
    ~ spl32_420,
    inference(avatar_split_clause,[],[f9,f2499]) ).

fof(f2499,plain,
    ( spl32_420
  <=> n4 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_420])]) ).

fof(f9,plain,
    n4 != n14,
    inference(cnf_transformation,[],[f5]) ).

fof(f2497,plain,
    spl32_419,
    inference(avatar_split_clause,[],[f22,f2494]) ).

fof(f2494,plain,
    ( spl32_419
  <=> n5 = sum(n8,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_419])]) ).

fof(f22,plain,
    n5 = sum(n8,n13),
    inference(cnf_transformation,[],[f5]) ).

fof(f2492,plain,
    ~ spl32_418,
    inference(avatar_split_clause,[],[f86,f2489]) ).

fof(f2489,plain,
    ( spl32_418
  <=> n1 = n4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_418])]) ).

fof(f86,plain,
    n1 != n4,
    inference(cnf_transformation,[],[f5]) ).

fof(f2487,plain,
    spl32_417,
    inference(avatar_split_clause,[],[f240,f2484]) ).

fof(f2484,plain,
    ( spl32_417
  <=> n15 = sum(n2,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_417])]) ).

fof(f240,plain,
    n15 = sum(n2,n13),
    inference(cnf_transformation,[],[f5]) ).

fof(f2482,plain,
    ~ spl32_416,
    inference(avatar_split_clause,[],[f192,f2479]) ).

fof(f2479,plain,
    ( spl32_416
  <=> n5 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_416])]) ).

fof(f192,plain,
    n5 != n13,
    inference(cnf_transformation,[],[f5]) ).

fof(f2477,plain,
    ~ spl32_415,
    inference(avatar_split_clause,[],[f142,f2474]) ).

fof(f2474,plain,
    ( spl32_415
  <=> n0 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_415])]) ).

fof(f142,plain,
    n0 != n15,
    inference(cnf_transformation,[],[f5]) ).

fof(f2472,plain,
    ~ spl32_414,
    inference(avatar_split_clause,[],[f329,f2469]) ).

fof(f2469,plain,
    ( spl32_414
  <=> n6 = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_414])]) ).

fof(f329,plain,
    n6 != n7,
    inference(cnf_transformation,[],[f5]) ).

fof(f2467,plain,
    spl32_413,
    inference(avatar_split_clause,[],[f356,f2464]) ).

fof(f2464,plain,
    ( spl32_413
  <=> n8 = sum(n13,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_413])]) ).

fof(f356,plain,
    n8 = sum(n13,n11),
    inference(cnf_transformation,[],[f5]) ).

fof(f2462,plain,
    spl32_412,
    inference(avatar_split_clause,[],[f177,f2459]) ).

fof(f2459,plain,
    ( spl32_412
  <=> n7 = sum(n4,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_412])]) ).

fof(f177,plain,
    n7 = sum(n4,n3),
    inference(cnf_transformation,[],[f5]) ).

fof(f2457,plain,
    ~ spl32_411,
    inference(avatar_split_clause,[],[f99,f2454]) ).

fof(f2454,plain,
    ( spl32_411
  <=> n1 = n2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_411])]) ).

fof(f99,plain,
    n1 != n2,
    inference(cnf_transformation,[],[f5]) ).

fof(f2452,plain,
    ~ spl32_410,
    inference(avatar_split_clause,[],[f73,f2449]) ).

fof(f2449,plain,
    ( spl32_410
  <=> n1 = n3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_410])]) ).

fof(f73,plain,
    n1 != n3,
    inference(cnf_transformation,[],[f5]) ).

fof(f2447,plain,
    ~ spl32_409,
    inference(avatar_split_clause,[],[f284,f2444]) ).

fof(f2444,plain,
    ( spl32_409
  <=> n6 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_409])]) ).

fof(f284,plain,
    n6 != n11,
    inference(cnf_transformation,[],[f5]) ).

fof(f2442,plain,
    spl32_408,
    inference(avatar_split_clause,[],[f287,f2439]) ).

fof(f2439,plain,
    ( spl32_408
  <=> sK23 = sum(sum(pred(sK18),succ(sK18)),sum(pred(sK10),succ(sK10))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_408])]) ).

fof(f287,plain,
    sK23 = sum(sum(pred(sK18),succ(sK18)),sum(pred(sK10),succ(sK10))),
    inference(cnf_transformation,[],[f5]) ).

fof(f2437,plain,
    spl32_407,
    inference(avatar_split_clause,[],[f38,f2434]) ).

fof(f2434,plain,
    ( spl32_407
  <=> n9 = sum(n3,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_407])]) ).

fof(f38,plain,
    n9 = sum(n3,n6),
    inference(cnf_transformation,[],[f5]) ).

fof(f2432,plain,
    ~ spl32_406,
    inference(avatar_split_clause,[],[f87,f2429]) ).

fof(f2429,plain,
    ( spl32_406
  <=> n13 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_406])]) ).

fof(f87,plain,
    n13 != n14,
    inference(cnf_transformation,[],[f5]) ).

fof(f2427,plain,
    spl32_405,
    inference(avatar_split_clause,[],[f239,f2424]) ).

fof(f2424,plain,
    ( spl32_405
  <=> n3 = sum(n8,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_405])]) ).

fof(f239,plain,
    n3 = sum(n8,n11),
    inference(cnf_transformation,[],[f5]) ).

fof(f2422,plain,
    ~ spl32_404,
    inference(avatar_split_clause,[],[f11,f2419]) ).

fof(f2419,plain,
    ( spl32_404
  <=> n0 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_404])]) ).

fof(f11,plain,
    n0 != n11,
    inference(cnf_transformation,[],[f5]) ).

fof(f2417,plain,
    ~ spl32_403,
    inference(avatar_split_clause,[],[f8,f2414]) ).

fof(f2414,plain,
    ( spl32_403
  <=> n7 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_403])]) ).

fof(f8,plain,
    n7 != n8,
    inference(cnf_transformation,[],[f5]) ).

fof(f2412,plain,
    spl32_402,
    inference(avatar_split_clause,[],[f154,f2409]) ).

fof(f2409,plain,
    ( spl32_402
  <=> n13 = sum(n15,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_402])]) ).

fof(f154,plain,
    n13 = sum(n15,n14),
    inference(cnf_transformation,[],[f5]) ).

fof(f2407,plain,
    ~ spl32_401,
    inference(avatar_split_clause,[],[f252,f2404]) ).

fof(f2404,plain,
    ( spl32_401
  <=> n4 = n5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_401])]) ).

fof(f252,plain,
    n4 != n5,
    inference(cnf_transformation,[],[f5]) ).

fof(f2402,plain,
    spl32_400,
    inference(avatar_split_clause,[],[f182,f2399]) ).

fof(f2399,plain,
    ( spl32_400
  <=> n0 = sum(n8,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_400])]) ).

fof(f182,plain,
    n0 = sum(n8,n8),
    inference(cnf_transformation,[],[f5]) ).

fof(f2397,plain,
    spl32_399,
    inference(avatar_split_clause,[],[f106,f2394]) ).

fof(f2394,plain,
    ( spl32_399
  <=> n12 = sum(n6,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_399])]) ).

fof(f106,plain,
    n12 = sum(n6,n6),
    inference(cnf_transformation,[],[f5]) ).

fof(f2392,plain,
    spl32_398,
    inference(avatar_split_clause,[],[f290,f2389]) ).

fof(f2389,plain,
    ( spl32_398
  <=> sK5 = sum(sum(pred(sK16),succ(sK16)),sum(pred(sK2),succ(sK2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_398])]) ).

fof(f290,plain,
    sK5 = sum(sum(pred(sK16),succ(sK16)),sum(pred(sK2),succ(sK2))),
    inference(cnf_transformation,[],[f5]) ).

fof(f2387,plain,
    spl32_397,
    inference(avatar_split_clause,[],[f354,f2384]) ).

fof(f2384,plain,
    ( spl32_397
  <=> n14 = sum(n2,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_397])]) ).

fof(f354,plain,
    n14 = sum(n2,n12),
    inference(cnf_transformation,[],[f5]) ).

fof(f2382,plain,
    spl32_396,
    inference(avatar_split_clause,[],[f222,f2379]) ).

fof(f2379,plain,
    ( spl32_396
  <=> n12 = sum(n13,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_396])]) ).

fof(f222,plain,
    n12 = sum(n13,n15),
    inference(cnf_transformation,[],[f5]) ).

fof(f2377,plain,
    spl32_395,
    inference(avatar_split_clause,[],[f411,f2374]) ).

fof(f2374,plain,
    ( spl32_395
  <=> n14 = sum(n7,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_395])]) ).

fof(f411,plain,
    n14 = sum(n7,n7),
    inference(cnf_transformation,[],[f5]) ).

fof(f2372,plain,
    spl32_394,
    inference(avatar_split_clause,[],[f368,f2369]) ).

fof(f2369,plain,
    ( spl32_394
  <=> n11 = sum(n10,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_394])]) ).

fof(f368,plain,
    n11 = sum(n10,n1),
    inference(cnf_transformation,[],[f5]) ).

fof(f2367,plain,
    spl32_393,
    inference(avatar_split_clause,[],[f212,f2364]) ).

fof(f2364,plain,
    ( spl32_393
  <=> n0 = pred(n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_393])]) ).

fof(f212,plain,
    n0 = pred(n1),
    inference(cnf_transformation,[],[f5]) ).

fof(f2362,plain,
    spl32_392,
    inference(avatar_split_clause,[],[f26,f2359]) ).

fof(f2359,plain,
    ( spl32_392
  <=> succ(n3) = n4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_392])]) ).

fof(f26,plain,
    succ(n3) = n4,
    inference(cnf_transformation,[],[f5]) ).

fof(f2357,plain,
    ~ spl32_391,
    inference(avatar_split_clause,[],[f114,f2354]) ).

fof(f2354,plain,
    ( spl32_391
  <=> n7 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_391])]) ).

fof(f114,plain,
    n7 != n11,
    inference(cnf_transformation,[],[f5]) ).

fof(f2352,plain,
    ~ spl32_390,
    inference(avatar_split_clause,[],[f249,f2349]) ).

fof(f2349,plain,
    ( spl32_390
  <=> n0 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_390])]) ).

fof(f249,plain,
    n0 != n8,
    inference(cnf_transformation,[],[f5]) ).

fof(f2347,plain,
    spl32_389,
    inference(avatar_split_clause,[],[f349,f2344]) ).

fof(f2344,plain,
    ( spl32_389
  <=> n5 = sum(n9,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_389])]) ).

fof(f349,plain,
    n5 = sum(n9,n12),
    inference(cnf_transformation,[],[f5]) ).

fof(f2342,plain,
    spl32_388,
    inference(avatar_split_clause,[],[f150,f2339]) ).

fof(f2339,plain,
    ( spl32_388
  <=> n15 = sum(n12,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_388])]) ).

fof(f150,plain,
    n15 = sum(n12,n3),
    inference(cnf_transformation,[],[f5]) ).

fof(f2337,plain,
    spl32_387,
    inference(avatar_split_clause,[],[f36,f2334]) ).

fof(f2334,plain,
    ( spl32_387
  <=> sum(sum(pred(sK24),succ(sK15)),sum(pred(sK15),succ(sK24))) = sK21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_387])]) ).

fof(f36,plain,
    sum(sum(pred(sK24),succ(sK15)),sum(pred(sK15),succ(sK24))) = sK21,
    inference(cnf_transformation,[],[f5]) ).

fof(f2332,plain,
    spl32_386,
    inference(avatar_split_clause,[],[f206,f2329]) ).

fof(f2329,plain,
    ( spl32_386
  <=> n15 = sum(n7,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_386])]) ).

fof(f206,plain,
    n15 = sum(n7,n8),
    inference(cnf_transformation,[],[f5]) ).

fof(f2327,plain,
    spl32_385,
    inference(avatar_split_clause,[],[f372,f2324]) ).

fof(f2324,plain,
    ( spl32_385
  <=> n5 = sum(n7,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_385])]) ).

fof(f372,plain,
    n5 = sum(n7,n14),
    inference(cnf_transformation,[],[f5]) ).

fof(f2322,plain,
    spl32_384,
    inference(avatar_split_clause,[],[f146,f2319]) ).

fof(f2319,plain,
    ( spl32_384
  <=> sK30 = sum(sum(pred(sK13),succ(sK13)),sum(pred(sK5),succ(sK5))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_384])]) ).

fof(f146,plain,
    sK30 = sum(sum(pred(sK13),succ(sK13)),sum(pred(sK5),succ(sK5))),
    inference(cnf_transformation,[],[f5]) ).

fof(f2317,plain,
    ~ spl32_383,
    inference(avatar_split_clause,[],[f20,f2314]) ).

fof(f2314,plain,
    ( spl32_383
  <=> n4 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_383])]) ).

fof(f20,plain,
    n4 != n13,
    inference(cnf_transformation,[],[f5]) ).

fof(f2312,plain,
    ~ spl32_382,
    inference(avatar_split_clause,[],[f96,f2309]) ).

fof(f2309,plain,
    ( spl32_382
  <=> n4 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_382])]) ).

fof(f96,plain,
    n4 != n8,
    inference(cnf_transformation,[],[f5]) ).

fof(f2307,plain,
    spl32_381,
    inference(avatar_split_clause,[],[f160,f2304]) ).

fof(f2304,plain,
    ( spl32_381
  <=> n15 = sum(n8,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_381])]) ).

fof(f160,plain,
    n15 = sum(n8,n7),
    inference(cnf_transformation,[],[f5]) ).

fof(f2302,plain,
    spl32_380,
    inference(avatar_split_clause,[],[f313,f2299]) ).

fof(f2299,plain,
    ( spl32_380
  <=> n13 = sum(n0,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_380])]) ).

fof(f313,plain,
    n13 = sum(n0,n13),
    inference(cnf_transformation,[],[f5]) ).

fof(f2297,plain,
    ~ spl32_379,
    inference(avatar_split_clause,[],[f119,f2294]) ).

fof(f2294,plain,
    ( spl32_379
  <=> n1 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_379])]) ).

fof(f119,plain,
    n1 != n11,
    inference(cnf_transformation,[],[f5]) ).

fof(f2292,plain,
    spl32_378,
    inference(avatar_split_clause,[],[f357,f2289]) ).

fof(f2289,plain,
    ( spl32_378
  <=> n6 = sum(n6,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_378])]) ).

fof(f357,plain,
    n6 = sum(n6,n0),
    inference(cnf_transformation,[],[f5]) ).

fof(f2287,plain,
    ~ spl32_377,
    inference(avatar_split_clause,[],[f242,f2284]) ).

fof(f2284,plain,
    ( spl32_377
  <=> n6 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_377])]) ).

fof(f242,plain,
    n6 != n10,
    inference(cnf_transformation,[],[f5]) ).

fof(f2282,plain,
    spl32_376,
    inference(avatar_split_clause,[],[f225,f2279]) ).

fof(f2279,plain,
    ( spl32_376
  <=> n15 = sum(n9,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_376])]) ).

fof(f225,plain,
    n15 = sum(n9,n6),
    inference(cnf_transformation,[],[f5]) ).

fof(f2277,plain,
    spl32_375,
    inference(avatar_split_clause,[],[f77,f2274]) ).

fof(f2274,plain,
    ( spl32_375
  <=> n15 = sum(n11,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_375])]) ).

fof(f77,plain,
    n15 = sum(n11,n4),
    inference(cnf_transformation,[],[f5]) ).

fof(f2272,plain,
    spl32_374,
    inference(avatar_split_clause,[],[f179,f2269]) ).

fof(f2269,plain,
    ( spl32_374
  <=> n1 = sum(n9,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_374])]) ).

fof(f179,plain,
    n1 = sum(n9,n8),
    inference(cnf_transformation,[],[f5]) ).

fof(f2267,plain,
    spl32_373,
    inference(avatar_split_clause,[],[f101,f2264]) ).

fof(f2264,plain,
    ( spl32_373
  <=> sK28 = sum(sum(pred(sK18),succ(sK10)),sum(pred(sK10),succ(sK18))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_373])]) ).

fof(f101,plain,
    sK28 = sum(sum(pred(sK18),succ(sK10)),sum(pred(sK10),succ(sK18))),
    inference(cnf_transformation,[],[f5]) ).

fof(f2262,plain,
    ~ spl32_372,
    inference(avatar_split_clause,[],[f253,f2259]) ).

fof(f2259,plain,
    ( spl32_372
  <=> n0 = n5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_372])]) ).

fof(f253,plain,
    n0 != n5,
    inference(cnf_transformation,[],[f5]) ).

fof(f2257,plain,
    spl32_371,
    inference(avatar_split_clause,[],[f370,f2254]) ).

fof(f2254,plain,
    ( spl32_371
  <=> n8 = sum(n7,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_371])]) ).

fof(f370,plain,
    n8 = sum(n7,n1),
    inference(cnf_transformation,[],[f5]) ).

fof(f2252,plain,
    spl32_370,
    inference(avatar_split_clause,[],[f364,f2249]) ).

fof(f2249,plain,
    ( spl32_370
  <=> n0 = sum(n13,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_370])]) ).

fof(f364,plain,
    n0 = sum(n13,n3),
    inference(cnf_transformation,[],[f5]) ).

fof(f2247,plain,
    spl32_369,
    inference(avatar_split_clause,[],[f380,f2244]) ).

fof(f2244,plain,
    ( spl32_369
  <=> n3 = sum(n11,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_369])]) ).

fof(f380,plain,
    n3 = sum(n11,n8),
    inference(cnf_transformation,[],[f5]) ).

fof(f2242,plain,
    spl32_368,
    inference(avatar_split_clause,[],[f430,f2239]) ).

fof(f2239,plain,
    ( spl32_368
  <=> n12 = pred(n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_368])]) ).

fof(f430,plain,
    n12 = pred(n13),
    inference(cnf_transformation,[],[f5]) ).

fof(f2237,plain,
    spl32_367,
    inference(avatar_split_clause,[],[f230,f2234]) ).

fof(f2234,plain,
    ( spl32_367
  <=> n11 = sum(n4,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_367])]) ).

fof(f230,plain,
    n11 = sum(n4,n7),
    inference(cnf_transformation,[],[f5]) ).

fof(f2232,plain,
    ~ spl32_366,
    inference(avatar_split_clause,[],[f197,f2229]) ).

fof(f2229,plain,
    ( spl32_366
  <=> n1 = n6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_366])]) ).

fof(f197,plain,
    n1 != n6,
    inference(cnf_transformation,[],[f5]) ).

fof(f2227,plain,
    ~ spl32_365,
    inference(avatar_split_clause,[],[f439,f2224]) ).

fof(f2224,plain,
    ( spl32_365
  <=> n5 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_365])]) ).

fof(f439,plain,
    n5 != n11,
    inference(cnf_transformation,[],[f5]) ).

fof(f2222,plain,
    spl32_364,
    inference(avatar_split_clause,[],[f324,f2219]) ).

fof(f2219,plain,
    ( spl32_364
  <=> n6 = sum(n0,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_364])]) ).

fof(f324,plain,
    n6 = sum(n0,n6),
    inference(cnf_transformation,[],[f5]) ).

fof(f2217,plain,
    spl32_363,
    inference(avatar_split_clause,[],[f385,f2214]) ).

fof(f2214,plain,
    ( spl32_363
  <=> n5 = sum(n6,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_363])]) ).

fof(f385,plain,
    n5 = sum(n6,n15),
    inference(cnf_transformation,[],[f5]) ).

fof(f2212,plain,
    spl32_362,
    inference(avatar_split_clause,[],[f175,f2209]) ).

fof(f2209,plain,
    ( spl32_362
  <=> n0 = sum(n4,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_362])]) ).

fof(f175,plain,
    n0 = sum(n4,n12),
    inference(cnf_transformation,[],[f5]) ).

fof(f2207,plain,
    spl32_361,
    inference(avatar_split_clause,[],[f57,f2204]) ).

fof(f2204,plain,
    ( spl32_361
  <=> n10 = sum(n6,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_361])]) ).

fof(f57,plain,
    n10 = sum(n6,n4),
    inference(cnf_transformation,[],[f5]) ).

fof(f2202,plain,
    ~ spl32_360,
    inference(avatar_split_clause,[],[f365,f2199]) ).

fof(f2199,plain,
    ( spl32_360
  <=> n3 = n4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_360])]) ).

fof(f365,plain,
    n3 != n4,
    inference(cnf_transformation,[],[f5]) ).

fof(f2197,plain,
    ~ spl32_359,
    inference(avatar_split_clause,[],[f254,f2194]) ).

fof(f2194,plain,
    ( spl32_359
  <=> n5 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_359])]) ).

fof(f254,plain,
    n5 != n10,
    inference(cnf_transformation,[],[f5]) ).

fof(f2192,plain,
    spl32_358,
    inference(avatar_split_clause,[],[f144,f2189]) ).

fof(f2189,plain,
    ( spl32_358
  <=> n12 = sum(n3,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_358])]) ).

fof(f144,plain,
    n12 = sum(n3,n9),
    inference(cnf_transformation,[],[f5]) ).

fof(f2187,plain,
    spl32_357,
    inference(avatar_split_clause,[],[f299,f2184]) ).

fof(f2184,plain,
    ( spl32_357
  <=> n3 = sum(n13,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_357])]) ).

fof(f299,plain,
    n3 = sum(n13,n6),
    inference(cnf_transformation,[],[f5]) ).

fof(f2182,plain,
    ~ spl32_356,
    inference(avatar_split_clause,[],[f207,f2179]) ).

fof(f2179,plain,
    ( spl32_356
  <=> n1 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_356])]) ).

fof(f207,plain,
    n1 != n12,
    inference(cnf_transformation,[],[f5]) ).

fof(f2177,plain,
    spl32_355,
    inference(avatar_split_clause,[],[f407,f2174]) ).

fof(f2174,plain,
    ( spl32_355
  <=> n2 = sum(n1,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_355])]) ).

fof(f407,plain,
    n2 = sum(n1,n1),
    inference(cnf_transformation,[],[f5]) ).

fof(f2172,plain,
    spl32_354,
    inference(avatar_split_clause,[],[f301,f2169]) ).

fof(f2169,plain,
    ( spl32_354
  <=> sK0 = sum(sum(pred(sK24),succ(sK24)),sum(pred(sK15),succ(sK15))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_354])]) ).

fof(f301,plain,
    sK0 = sum(sum(pred(sK24),succ(sK24)),sum(pred(sK15),succ(sK15))),
    inference(cnf_transformation,[],[f5]) ).

fof(f2167,plain,
    spl32_353,
    inference(avatar_split_clause,[],[f281,f2164]) ).

fof(f2164,plain,
    ( spl32_353
  <=> n10 = sum(n15,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_353])]) ).

fof(f281,plain,
    n10 = sum(n15,n11),
    inference(cnf_transformation,[],[f5]) ).

fof(f2162,plain,
    ~ spl32_352,
    inference(avatar_split_clause,[],[f416,f2159]) ).

fof(f2159,plain,
    ( spl32_352
  <=> n3 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_352])]) ).

fof(f416,plain,
    n3 != n8,
    inference(cnf_transformation,[],[f5]) ).

fof(f2157,plain,
    spl32_351,
    inference(avatar_split_clause,[],[f216,f2154]) ).

fof(f2154,plain,
    ( spl32_351
  <=> n9 = sum(n4,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_351])]) ).

fof(f216,plain,
    n9 = sum(n4,n5),
    inference(cnf_transformation,[],[f5]) ).

fof(f2152,plain,
    ~ spl32_350,
    inference(avatar_split_clause,[],[f315,f2149]) ).

fof(f2149,plain,
    ( spl32_350
  <=> n6 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_350])]) ).

fof(f315,plain,
    n6 != n14,
    inference(cnf_transformation,[],[f5]) ).

fof(f2147,plain,
    ~ spl32_349,
    inference(avatar_split_clause,[],[f164,f2144]) ).

fof(f2144,plain,
    ( spl32_349
  <=> n2 = n4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_349])]) ).

fof(f164,plain,
    n2 != n4,
    inference(cnf_transformation,[],[f5]) ).

fof(f2142,plain,
    spl32_348,
    inference(avatar_split_clause,[],[f18,f2139]) ).

fof(f2139,plain,
    ( spl32_348
  <=> sK29 = sum(sum(pred(sK19),succ(sK12)),sum(pred(sK12),succ(sK19))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_348])]) ).

fof(f18,plain,
    sK29 = sum(sum(pred(sK19),succ(sK12)),sum(pred(sK12),succ(sK19))),
    inference(cnf_transformation,[],[f5]) ).

fof(f2137,plain,
    ~ spl32_347,
    inference(avatar_split_clause,[],[f382,f2134]) ).

fof(f2134,plain,
    ( spl32_347
  <=> n2 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_347])]) ).

fof(f382,plain,
    n2 != n8,
    inference(cnf_transformation,[],[f5]) ).

fof(f2132,plain,
    spl32_346,
    inference(avatar_split_clause,[],[f271,f2129]) ).

fof(f2129,plain,
    ( spl32_346
  <=> n12 = sum(n7,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_346])]) ).

fof(f271,plain,
    n12 = sum(n7,n5),
    inference(cnf_transformation,[],[f5]) ).

fof(f2127,plain,
    spl32_345,
    inference(avatar_split_clause,[],[f141,f2124]) ).

fof(f2124,plain,
    ( spl32_345
  <=> n0 = sum(n14,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_345])]) ).

fof(f141,plain,
    n0 = sum(n14,n2),
    inference(cnf_transformation,[],[f5]) ).

fof(f2122,plain,
    ~ spl32_344,
    inference(avatar_split_clause,[],[f269,f2119]) ).

fof(f2119,plain,
    ( spl32_344
  <=> n5 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_344])]) ).

fof(f269,plain,
    n5 != n15,
    inference(cnf_transformation,[],[f5]) ).

fof(f2117,plain,
    ~ spl32_343,
    inference(avatar_split_clause,[],[f232,f2114]) ).

fof(f2114,plain,
    ( spl32_343
  <=> n5 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_343])]) ).

fof(f232,plain,
    n5 != n8,
    inference(cnf_transformation,[],[f5]) ).

fof(f2112,plain,
    spl32_342,
    inference(avatar_split_clause,[],[f435,f2109]) ).

fof(f2109,plain,
    ( spl32_342
  <=> n15 = sum(n3,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_342])]) ).

fof(f435,plain,
    n15 = sum(n3,n12),
    inference(cnf_transformation,[],[f5]) ).

fof(f2107,plain,
    spl32_341,
    inference(avatar_split_clause,[],[f81,f2104]) ).

fof(f2104,plain,
    ( spl32_341
  <=> n2 = sum(n5,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_341])]) ).

fof(f81,plain,
    n2 = sum(n5,n13),
    inference(cnf_transformation,[],[f5]) ).

fof(f2102,plain,
    spl32_340,
    inference(avatar_split_clause,[],[f6,f2099]) ).

fof(f2099,plain,
    ( spl32_340
  <=> succ(n7) = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_340])]) ).

fof(f6,plain,
    succ(n7) = n8,
    inference(cnf_transformation,[],[f5]) ).

fof(f2097,plain,
    spl32_339,
    inference(avatar_split_clause,[],[f228,f2094]) ).

fof(f2094,plain,
    ( spl32_339
  <=> n9 = sum(n7,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_339])]) ).

fof(f228,plain,
    n9 = sum(n7,n2),
    inference(cnf_transformation,[],[f5]) ).

fof(f2092,plain,
    ~ spl32_338,
    inference(avatar_split_clause,[],[f147,f2089]) ).

fof(f2089,plain,
    ( spl32_338
  <=> n9 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_338])]) ).

fof(f147,plain,
    n9 != n10,
    inference(cnf_transformation,[],[f5]) ).

fof(f2087,plain,
    ~ spl32_337,
    inference(avatar_split_clause,[],[f330,f2084]) ).

fof(f2084,plain,
    ( spl32_337
  <=> n11 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_337])]) ).

fof(f330,plain,
    n11 != n15,
    inference(cnf_transformation,[],[f5]) ).

fof(f2082,plain,
    ~ spl32_336,
    inference(avatar_split_clause,[],[f190,f2079]) ).

fof(f2079,plain,
    ( spl32_336
  <=> n2 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_336])]) ).

fof(f190,plain,
    n2 != n9,
    inference(cnf_transformation,[],[f5]) ).

fof(f2077,plain,
    ~ spl32_335,
    inference(avatar_split_clause,[],[f205,f2074]) ).

fof(f2074,plain,
    ( spl32_335
  <=> n0 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_335])]) ).

fof(f205,plain,
    n0 != n9,
    inference(cnf_transformation,[],[f5]) ).

fof(f2072,plain,
    spl32_334,
    inference(avatar_split_clause,[],[f297,f2069]) ).

fof(f2069,plain,
    ( spl32_334
  <=> n6 = pred(n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_334])]) ).

fof(f297,plain,
    n6 = pred(n7),
    inference(cnf_transformation,[],[f5]) ).

fof(f2067,plain,
    ~ spl32_333,
    inference(avatar_split_clause,[],[f421,f2064]) ).

fof(f2064,plain,
    ( spl32_333
  <=> n7 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_333])]) ).

fof(f421,plain,
    n7 != n13,
    inference(cnf_transformation,[],[f5]) ).

fof(f2062,plain,
    spl32_332,
    inference(avatar_split_clause,[],[f418,f2059]) ).

fof(f2059,plain,
    ( spl32_332
  <=> n1 = sum(n14,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_332])]) ).

fof(f418,plain,
    n1 = sum(n14,n3),
    inference(cnf_transformation,[],[f5]) ).

fof(f2057,plain,
    spl32_331,
    inference(avatar_split_clause,[],[f278,f2054]) ).

fof(f2054,plain,
    ( spl32_331
  <=> n3 = sum(n0,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_331])]) ).

fof(f278,plain,
    n3 = sum(n0,n3),
    inference(cnf_transformation,[],[f5]) ).

fof(f2052,plain,
    ~ spl32_330,
    inference(avatar_split_clause,[],[f344,f2049]) ).

fof(f2049,plain,
    ( spl32_330
  <=> n10 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_330])]) ).

fof(f344,plain,
    n10 != n12,
    inference(cnf_transformation,[],[f5]) ).

fof(f2047,plain,
    spl32_329,
    inference(avatar_split_clause,[],[f215,f2044]) ).

fof(f2044,plain,
    ( spl32_329
  <=> n0 = sum(n0,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_329])]) ).

fof(f215,plain,
    n0 = sum(n0,n0),
    inference(cnf_transformation,[],[f5]) ).

fof(f2042,plain,
    spl32_328,
    inference(avatar_split_clause,[],[f28,f2039]) ).

fof(f2039,plain,
    ( spl32_328
  <=> n9 = sum(n15,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_328])]) ).

fof(f28,plain,
    n9 = sum(n15,n10),
    inference(cnf_transformation,[],[f5]) ).

fof(f2037,plain,
    ~ spl32_327,
    inference(avatar_split_clause,[],[f121,f2034]) ).

fof(f2034,plain,
    ( spl32_327
  <=> n7 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_327])]) ).

fof(f121,plain,
    n7 != n12,
    inference(cnf_transformation,[],[f5]) ).

fof(f2032,plain,
    spl32_326,
    inference(avatar_split_clause,[],[f298,f2029]) ).

fof(f2029,plain,
    ( spl32_326
  <=> n6 = sum(n4,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_326])]) ).

fof(f298,plain,
    n6 = sum(n4,n2),
    inference(cnf_transformation,[],[f5]) ).

fof(f2027,plain,
    spl32_325,
    inference(avatar_split_clause,[],[f170,f2024]) ).

fof(f2024,plain,
    ( spl32_325
  <=> n9 = sum(n1,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_325])]) ).

fof(f170,plain,
    n9 = sum(n1,n8),
    inference(cnf_transformation,[],[f5]) ).

fof(f2022,plain,
    spl32_324,
    inference(avatar_split_clause,[],[f326,f2019]) ).

fof(f2019,plain,
    ( spl32_324
  <=> n7 = sum(n7,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_324])]) ).

fof(f326,plain,
    n7 = sum(n7,n0),
    inference(cnf_transformation,[],[f5]) ).

fof(f2017,plain,
    spl32_323,
    inference(avatar_split_clause,[],[f422,f2014]) ).

fof(f2014,plain,
    ( spl32_323
  <=> n9 = sum(n8,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_323])]) ).

fof(f422,plain,
    n9 = sum(n8,n1),
    inference(cnf_transformation,[],[f5]) ).

fof(f2012,plain,
    ~ spl32_322,
    inference(avatar_split_clause,[],[f250,f2009]) ).

fof(f2009,plain,
    ( spl32_322
  <=> n3 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_322])]) ).

fof(f250,plain,
    n3 != n12,
    inference(cnf_transformation,[],[f5]) ).

fof(f2007,plain,
    ~ spl32_321,
    inference(avatar_split_clause,[],[f300,f2004]) ).

fof(f2004,plain,
    ( spl32_321
  <=> n3 = n5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_321])]) ).

fof(f300,plain,
    n3 != n5,
    inference(cnf_transformation,[],[f5]) ).

fof(f2002,plain,
    spl32_320,
    inference(avatar_split_clause,[],[f221,f1999]) ).

fof(f1999,plain,
    ( spl32_320
  <=> n1 = sum(n8,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_320])]) ).

fof(f221,plain,
    n1 = sum(n8,n9),
    inference(cnf_transformation,[],[f5]) ).

fof(f1997,plain,
    spl32_319,
    inference(avatar_split_clause,[],[f42,f1994]) ).

fof(f1994,plain,
    ( spl32_319
  <=> n15 = sum(n14,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_319])]) ).

fof(f42,plain,
    n15 = sum(n14,n1),
    inference(cnf_transformation,[],[f5]) ).

fof(f1992,plain,
    spl32_318,
    inference(avatar_split_clause,[],[f293,f1989]) ).

fof(f1989,plain,
    ( spl32_318
  <=> sum(sum(pred(sK8),succ(sK11)),sum(pred(sK11),succ(sK8))) = sK16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_318])]) ).

fof(f293,plain,
    sum(sum(pred(sK8),succ(sK11)),sum(pred(sK11),succ(sK8))) = sK16,
    inference(cnf_transformation,[],[f5]) ).

fof(f1987,plain,
    ~ spl32_317,
    inference(avatar_split_clause,[],[f109,f1984]) ).

fof(f1984,plain,
    ( spl32_317
  <=> n4 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_317])]) ).

fof(f109,plain,
    n4 != n11,
    inference(cnf_transformation,[],[f5]) ).

fof(f1982,plain,
    ~ spl32_316,
    inference(avatar_split_clause,[],[f367,f1979]) ).

fof(f1979,plain,
    ( spl32_316
  <=> n11 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_316])]) ).

fof(f367,plain,
    n11 != n12,
    inference(cnf_transformation,[],[f5]) ).

fof(f1977,plain,
    ~ spl32_315,
    inference(avatar_split_clause,[],[f35,f1974]) ).

fof(f1974,plain,
    ( spl32_315
  <=> n12 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_315])]) ).

fof(f35,plain,
    n12 != n15,
    inference(cnf_transformation,[],[f5]) ).

fof(f1972,plain,
    spl32_314,
    inference(avatar_split_clause,[],[f199,f1969]) ).

fof(f1969,plain,
    ( spl32_314
  <=> n3 = pred(n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_314])]) ).

fof(f199,plain,
    n3 = pred(n4),
    inference(cnf_transformation,[],[f5]) ).

fof(f1967,plain,
    spl32_313,
    inference(avatar_split_clause,[],[f13,f1964]) ).

fof(f1964,plain,
    ( spl32_313
  <=> n10 = sum(n11,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_313])]) ).

fof(f13,plain,
    n10 = sum(n11,n15),
    inference(cnf_transformation,[],[f5]) ).

fof(f1962,plain,
    spl32_312,
    inference(avatar_split_clause,[],[f419,f1959]) ).

fof(f1959,plain,
    ( spl32_312
  <=> sum(sum(pred(sK21),succ(sK0)),sum(pred(sK0),succ(sK21))) = sK6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_312])]) ).

fof(f419,plain,
    sum(sum(pred(sK21),succ(sK0)),sum(pred(sK0),succ(sK21))) = sK6,
    inference(cnf_transformation,[],[f5]) ).

fof(f1957,plain,
    spl32_311,
    inference(avatar_split_clause,[],[f261,f1954]) ).

fof(f1954,plain,
    ( spl32_311
  <=> sK26 = sum(sum(pred(sK17),succ(sK4)),sum(pred(sK4),succ(sK17))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_311])]) ).

fof(f261,plain,
    sK26 = sum(sum(pred(sK17),succ(sK4)),sum(pred(sK4),succ(sK17))),
    inference(cnf_transformation,[],[f5]) ).

fof(f1952,plain,
    spl32_310,
    inference(avatar_split_clause,[],[f227,f1949]) ).

fof(f1949,plain,
    ( spl32_310
  <=> sK20 = sum(sum(pred(sK21),succ(sK21)),sum(pred(sK0),succ(sK0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_310])]) ).

fof(f227,plain,
    sK20 = sum(sum(pred(sK21),succ(sK21)),sum(pred(sK0),succ(sK0))),
    inference(cnf_transformation,[],[f5]) ).

fof(f1947,plain,
    spl32_309,
    inference(avatar_split_clause,[],[f220,f1944]) ).

fof(f1944,plain,
    ( spl32_309
  <=> n14 = sum(n5,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_309])]) ).

fof(f220,plain,
    n14 = sum(n5,n9),
    inference(cnf_transformation,[],[f5]) ).

fof(f1942,plain,
    spl32_308,
    inference(avatar_split_clause,[],[f292,f1939]) ).

fof(f1939,plain,
    ( spl32_308
  <=> n6 = sum(n2,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_308])]) ).

fof(f292,plain,
    n6 = sum(n2,n4),
    inference(cnf_transformation,[],[f5]) ).

fof(f1937,plain,
    ~ spl32_307,
    inference(avatar_split_clause,[],[f436,f1934]) ).

fof(f1934,plain,
    ( spl32_307
  <=> n0 = n4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_307])]) ).

fof(f436,plain,
    n0 != n4,
    inference(cnf_transformation,[],[f5]) ).

fof(f1932,plain,
    ~ spl32_306,
    inference(avatar_split_clause,[],[f321,f1929]) ).

fof(f1929,plain,
    ( spl32_306
  <=> n3 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_306])]) ).

fof(f321,plain,
    n3 != n13,
    inference(cnf_transformation,[],[f5]) ).

fof(f1927,plain,
    ~ spl32_305,
    inference(avatar_split_clause,[],[f49,f1924]) ).

fof(f1924,plain,
    ( spl32_305
  <=> n9 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_305])]) ).

fof(f49,plain,
    n9 != n13,
    inference(cnf_transformation,[],[f5]) ).

fof(f1922,plain,
    spl32_304,
    inference(avatar_split_clause,[],[f403,f1919]) ).

fof(f1919,plain,
    ( spl32_304
  <=> n3 = sum(n7,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_304])]) ).

fof(f403,plain,
    n3 = sum(n7,n12),
    inference(cnf_transformation,[],[f5]) ).

fof(f1917,plain,
    spl32_303,
    inference(avatar_split_clause,[],[f155,f1914]) ).

fof(f1914,plain,
    ( spl32_303
  <=> sum(sum(pred(sK29),succ(sK25)),sum(pred(sK25),succ(sK29))) = sK27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_303])]) ).

fof(f155,plain,
    sum(sum(pred(sK29),succ(sK25)),sum(pred(sK25),succ(sK29))) = sK27,
    inference(cnf_transformation,[],[f5]) ).

fof(f1912,plain,
    spl32_302,
    inference(avatar_split_clause,[],[f279,f1909]) ).

fof(f1909,plain,
    ( spl32_302
  <=> n11 = sum(n8,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_302])]) ).

fof(f279,plain,
    n11 = sum(n8,n3),
    inference(cnf_transformation,[],[f5]) ).

fof(f1907,plain,
    ~ spl32_301,
    inference(avatar_split_clause,[],[f282,f1904]) ).

fof(f1904,plain,
    ( spl32_301
  <=> n0 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_301])]) ).

fof(f282,plain,
    n0 != n10,
    inference(cnf_transformation,[],[f5]) ).

fof(f1902,plain,
    spl32_300,
    inference(avatar_split_clause,[],[f124,f1899]) ).

fof(f1899,plain,
    ( spl32_300
  <=> n14 = sum(n14,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_300])]) ).

fof(f124,plain,
    n14 = sum(n14,n0),
    inference(cnf_transformation,[],[f5]) ).

fof(f1897,plain,
    ~ spl32_299,
    inference(avatar_split_clause,[],[f397,f1894]) ).

fof(f1894,plain,
    ( spl32_299
  <=> n12 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_299])]) ).

fof(f397,plain,
    n12 != n13,
    inference(cnf_transformation,[],[f5]) ).

fof(f1892,plain,
    spl32_298,
    inference(avatar_split_clause,[],[f390,f1889]) ).

fof(f1889,plain,
    ( spl32_298
  <=> sum(sum(pred(sK1),succ(sK1)),sum(pred(sK30),succ(sK30))) = sK4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_298])]) ).

fof(f390,plain,
    sum(sum(pred(sK1),succ(sK1)),sum(pred(sK30),succ(sK30))) = sK4,
    inference(cnf_transformation,[],[f5]) ).

fof(f1887,plain,
    spl32_297,
    inference(avatar_split_clause,[],[f180,f1884]) ).

fof(f1884,plain,
    ( spl32_297
  <=> n11 = sum(n13,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_297])]) ).

fof(f180,plain,
    n11 = sum(n13,n14),
    inference(cnf_transformation,[],[f5]) ).

fof(f1882,plain,
    spl32_296,
    inference(avatar_split_clause,[],[f30,f1879]) ).

fof(f1879,plain,
    ( spl32_296
  <=> succ(n8) = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_296])]) ).

fof(f30,plain,
    succ(n8) = n9,
    inference(cnf_transformation,[],[f5]) ).

fof(f1877,plain,
    spl32_295,
    inference(avatar_split_clause,[],[f68,f1874]) ).

fof(f1874,plain,
    ( spl32_295
  <=> n13 = sum(n3,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_295])]) ).

fof(f68,plain,
    n13 = sum(n3,n10),
    inference(cnf_transformation,[],[f5]) ).

fof(f1872,plain,
    spl32_294,
    inference(avatar_split_clause,[],[f280,f1869]) ).

fof(f1869,plain,
    ( spl32_294
  <=> sum(sum(pred(sK28),succ(sK23)),sum(pred(sK23),succ(sK28))) = sK8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_294])]) ).

fof(f280,plain,
    sum(sum(pred(sK28),succ(sK23)),sum(pred(sK23),succ(sK28))) = sK8,
    inference(cnf_transformation,[],[f5]) ).

fof(f1867,plain,
    spl32_293,
    inference(avatar_split_clause,[],[f342,f1864]) ).

fof(f1864,plain,
    ( spl32_293
  <=> n5 = sum(n12,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_293])]) ).

fof(f342,plain,
    n5 = sum(n12,n9),
    inference(cnf_transformation,[],[f5]) ).

fof(f1862,plain,
    spl32_292,
    inference(avatar_split_clause,[],[f94,f1859]) ).

fof(f1859,plain,
    ( spl32_292
  <=> sK13 = sum(sum(pred(sK16),succ(sK2)),sum(pred(sK2),succ(sK16))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_292])]) ).

fof(f94,plain,
    sK13 = sum(sum(pred(sK16),succ(sK2)),sum(pred(sK2),succ(sK16))),
    inference(cnf_transformation,[],[f5]) ).

fof(f1857,plain,
    spl32_291,
    inference(avatar_split_clause,[],[f307,f1854]) ).

fof(f1854,plain,
    ( spl32_291
  <=> n4 = sum(n14,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_291])]) ).

fof(f307,plain,
    n4 = sum(n14,n6),
    inference(cnf_transformation,[],[f5]) ).

fof(f1852,plain,
    spl32_290,
    inference(avatar_split_clause,[],[f104,f1849]) ).

fof(f1849,plain,
    ( spl32_290
  <=> n2 = sum(n9,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_290])]) ).

fof(f104,plain,
    n2 = sum(n9,n9),
    inference(cnf_transformation,[],[f5]) ).

fof(f1847,plain,
    ~ spl32_289,
    inference(avatar_split_clause,[],[f105,f1844]) ).

fof(f1844,plain,
    ( spl32_289
  <=> n2 = n6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_289])]) ).

fof(f105,plain,
    n2 != n6,
    inference(cnf_transformation,[],[f5]) ).

fof(f1842,plain,
    spl32_288,
    inference(avatar_split_clause,[],[f377,f1839]) ).

fof(f1839,plain,
    ( spl32_288
  <=> sK17 = sum(sum(pred(sK1),succ(sK30)),sum(pred(sK30),succ(sK1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_288])]) ).

fof(f377,plain,
    sK17 = sum(sum(pred(sK1),succ(sK30)),sum(pred(sK30),succ(sK1))),
    inference(cnf_transformation,[],[f5]) ).

fof(f1837,plain,
    spl32_287,
    inference(avatar_split_clause,[],[f375,f1834]) ).

fof(f1834,plain,
    ( spl32_287
  <=> n4 = sum(n3,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_287])]) ).

fof(f375,plain,
    n4 = sum(n3,n1),
    inference(cnf_transformation,[],[f5]) ).

fof(f1832,plain,
    ( spl32_271
    | spl32_272
    | spl32_273
    | spl32_274
    | spl32_275
    | spl32_276
    | spl32_277
    | spl32_278
    | spl32_279
    | spl32_280
    | spl32_281
    | spl32_282
    | spl32_283
    | spl32_284
    | spl32_285
    | spl32_286 ),
    inference(avatar_split_clause,[],[f442,f1829,f1825,f1821,f1817,f1813,f1809,f1805,f1801,f1797,f1793,f1789,f1785,f1781,f1777,f1773,f1769]) ).

fof(f1769,plain,
    ( spl32_271
  <=> n6 = sK7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_271])]) ).

fof(f1773,plain,
    ( spl32_272
  <=> n7 = sK7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_272])]) ).

fof(f1777,plain,
    ( spl32_273
  <=> n4 = sK7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_273])]) ).

fof(f1781,plain,
    ( spl32_274
  <=> n1 = sK7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_274])]) ).

fof(f1785,plain,
    ( spl32_275
  <=> n13 = sK7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_275])]) ).

fof(f1789,plain,
    ( spl32_276
  <=> n8 = sK7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_276])]) ).

fof(f1793,plain,
    ( spl32_277
  <=> n11 = sK7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_277])]) ).

fof(f1797,plain,
    ( spl32_278
  <=> n2 = sK7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_278])]) ).

fof(f1801,plain,
    ( spl32_279
  <=> n14 = sK7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_279])]) ).

fof(f1805,plain,
    ( spl32_280
  <=> n3 = sK7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_280])]) ).

fof(f1809,plain,
    ( spl32_281
  <=> n15 = sK7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_281])]) ).

fof(f1813,plain,
    ( spl32_282
  <=> n10 = sK7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_282])]) ).

fof(f1817,plain,
    ( spl32_283
  <=> n5 = sK7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_283])]) ).

fof(f1821,plain,
    ( spl32_284
  <=> n9 = sK7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_284])]) ).

fof(f1825,plain,
    ( spl32_285
  <=> n0 = sK7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_285])]) ).

fof(f1829,plain,
    ( spl32_286
  <=> n12 = sK7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_286])]) ).

fof(f442,plain,
    ( n12 = sK7
    | n0 = sK7
    | n9 = sK7
    | n5 = sK7
    | n10 = sK7
    | n15 = sK7
    | n3 = sK7
    | n14 = sK7
    | n2 = sK7
    | n11 = sK7
    | n8 = sK7
    | n13 = sK7
    | n1 = sK7
    | n4 = sK7
    | n7 = sK7
    | n6 = sK7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f1767,plain,
    spl32_270,
    inference(avatar_split_clause,[],[f136,f1764]) ).

fof(f1764,plain,
    ( spl32_270
  <=> n3 = sum(n10,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_270])]) ).

fof(f136,plain,
    n3 = sum(n10,n9),
    inference(cnf_transformation,[],[f5]) ).

fof(f1762,plain,
    spl32_269,
    inference(avatar_split_clause,[],[f69,f1759]) ).

fof(f1759,plain,
    ( spl32_269
  <=> sK15 = sum(sum(pred(sK14),succ(sK14)),sum(pred(sK7),succ(sK7))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_269])]) ).

fof(f69,plain,
    sK15 = sum(sum(pred(sK14),succ(sK14)),sum(pred(sK7),succ(sK7))),
    inference(cnf_transformation,[],[f5]) ).

fof(f1757,plain,
    spl32_268,
    inference(avatar_split_clause,[],[f413,f1754]) ).

fof(f1754,plain,
    ( spl32_268
  <=> n13 = sum(n9,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_268])]) ).

fof(f413,plain,
    n13 = sum(n9,n4),
    inference(cnf_transformation,[],[f5]) ).

fof(f1752,plain,
    spl32_267,
    inference(avatar_split_clause,[],[f400,f1749]) ).

fof(f1749,plain,
    ( spl32_267
  <=> n10 = sum(n9,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_267])]) ).

fof(f400,plain,
    n10 = sum(n9,n1),
    inference(cnf_transformation,[],[f5]) ).

fof(f1747,plain,
    spl32_266,
    inference(avatar_split_clause,[],[f219,f1744]) ).

fof(f1744,plain,
    ( spl32_266
  <=> n1 = sum(n7,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_266])]) ).

fof(f219,plain,
    n1 = sum(n7,n10),
    inference(cnf_transformation,[],[f5]) ).

fof(f1742,plain,
    spl32_265,
    inference(avatar_split_clause,[],[f178,f1739]) ).

fof(f1739,plain,
    ( spl32_265
  <=> n12 = sum(n9,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_265])]) ).

fof(f178,plain,
    n12 = sum(n9,n3),
    inference(cnf_transformation,[],[f5]) ).

fof(f1737,plain,
    spl32_264,
    inference(avatar_split_clause,[],[f72,f1734]) ).

fof(f1734,plain,
    ( spl32_264
  <=> n1 = sum(n2,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_264])]) ).

fof(f72,plain,
    n1 = sum(n2,n15),
    inference(cnf_transformation,[],[f5]) ).

fof(f1732,plain,
    ~ spl32_263,
    inference(avatar_split_clause,[],[f323,f1729]) ).

fof(f1729,plain,
    ( spl32_263
  <=> n0 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_263])]) ).

fof(f323,plain,
    n0 != n13,
    inference(cnf_transformation,[],[f5]) ).

fof(f1727,plain,
    ~ spl32_262,
    inference(avatar_split_clause,[],[f263,f1724]) ).

fof(f1724,plain,
    ( spl32_262
  <=> n1 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_262])]) ).

fof(f263,plain,
    n1 != n14,
    inference(cnf_transformation,[],[f5]) ).

fof(f1722,plain,
    spl32_261,
    inference(avatar_split_clause,[],[f266,f1719]) ).

fof(f1719,plain,
    ( spl32_261
  <=> n4 = sum(n1,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_261])]) ).

fof(f266,plain,
    n4 = sum(n1,n3),
    inference(cnf_transformation,[],[f5]) ).

fof(f1717,plain,
    spl32_260,
    inference(avatar_split_clause,[],[f213,f1714]) ).

fof(f1714,plain,
    ( spl32_260
  <=> n8 = sum(n10,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_260])]) ).

fof(f213,plain,
    n8 = sum(n10,n14),
    inference(cnf_transformation,[],[f5]) ).

fof(f1712,plain,
    spl32_259,
    inference(avatar_split_clause,[],[f402,f1709]) ).

fof(f1709,plain,
    ( spl32_259
  <=> n2 = sum(n6,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_259])]) ).

fof(f402,plain,
    n2 = sum(n6,n12),
    inference(cnf_transformation,[],[f5]) ).

fof(f1707,plain,
    spl32_258,
    inference(avatar_split_clause,[],[f111,f1704]) ).

fof(f1704,plain,
    ( spl32_258
  <=> n5 = sum(n3,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_258])]) ).

fof(f111,plain,
    n5 = sum(n3,n2),
    inference(cnf_transformation,[],[f5]) ).

fof(f1702,plain,
    spl32_257,
    inference(avatar_split_clause,[],[f183,f1699]) ).

fof(f1699,plain,
    ( spl32_257
  <=> n1 = pred(n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_257])]) ).

fof(f183,plain,
    n1 = pred(n2),
    inference(cnf_transformation,[],[f5]) ).

fof(f1697,plain,
    ~ spl32_256,
    inference(avatar_split_clause,[],[f21,f1694]) ).

fof(f1694,plain,
    ( spl32_256
  <=> n0 = n6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_256])]) ).

fof(f21,plain,
    n0 != n6,
    inference(cnf_transformation,[],[f5]) ).

fof(f1692,plain,
    spl32_255,
    inference(avatar_split_clause,[],[f65,f1689]) ).

fof(f1689,plain,
    ( spl32_255
  <=> n12 = sum(n0,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_255])]) ).

fof(f65,plain,
    n12 = sum(n0,n12),
    inference(cnf_transformation,[],[f5]) ).

fof(f1687,plain,
    spl32_254,
    inference(avatar_split_clause,[],[f93,f1684]) ).

fof(f1684,plain,
    ( spl32_254
  <=> n14 = sum(n10,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_254])]) ).

fof(f93,plain,
    n14 = sum(n10,n4),
    inference(cnf_transformation,[],[f5]) ).

fof(f1682,plain,
    ~ spl32_253,
    inference(avatar_split_clause,[],[f306,f1679]) ).

fof(f1679,plain,
    ( spl32_253
  <=> n0 = n3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_253])]) ).

fof(f306,plain,
    n0 != n3,
    inference(cnf_transformation,[],[f5]) ).

fof(f1677,plain,
    spl32_252,
    inference(avatar_split_clause,[],[f262,f1674]) ).

fof(f1674,plain,
    ( spl32_252
  <=> n5 = sum(n1,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_252])]) ).

fof(f262,plain,
    n5 = sum(n1,n4),
    inference(cnf_transformation,[],[f5]) ).

fof(f1672,plain,
    spl32_251,
    inference(avatar_split_clause,[],[f258,f1669]) ).

fof(f1669,plain,
    ( spl32_251
  <=> n0 = succ(n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_251])]) ).

fof(f258,plain,
    n0 = succ(n15),
    inference(cnf_transformation,[],[f5]) ).

fof(f1667,plain,
    spl32_250,
    inference(avatar_split_clause,[],[f90,f1664]) ).

fof(f1664,plain,
    ( spl32_250
  <=> sK18 = sum(sum(pred(sK3),succ(sK9)),sum(pred(sK9),succ(sK3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_250])]) ).

fof(f90,plain,
    sK18 = sum(sum(pred(sK3),succ(sK9)),sum(pred(sK9),succ(sK3))),
    inference(cnf_transformation,[],[f5]) ).

fof(f1662,plain,
    spl32_249,
    inference(avatar_split_clause,[],[f50,f1659]) ).

fof(f1659,plain,
    ( spl32_249
  <=> n4 = sum(n10,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_249])]) ).

fof(f50,plain,
    n4 = sum(n10,n10),
    inference(cnf_transformation,[],[f5]) ).

fof(f1657,plain,
    spl32_248,
    inference(avatar_split_clause,[],[f443,f1654]) ).

fof(f1654,plain,
    ( spl32_248
  <=> n0 = sum(n15,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_248])]) ).

fof(f443,plain,
    n0 = sum(n15,n1),
    inference(cnf_transformation,[],[f5]) ).

fof(f1652,plain,
    spl32_247,
    inference(avatar_split_clause,[],[f285,f1649]) ).

fof(f1649,plain,
    ( spl32_247
  <=> n5 = sum(n14,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_247])]) ).

fof(f285,plain,
    n5 = sum(n14,n7),
    inference(cnf_transformation,[],[f5]) ).

fof(f1647,plain,
    spl32_246,
    inference(avatar_split_clause,[],[f444,f1644]) ).

fof(f1644,plain,
    ( spl32_246
  <=> n3 = sum(n9,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_246])]) ).

fof(f444,plain,
    n3 = sum(n9,n10),
    inference(cnf_transformation,[],[f5]) ).

fof(f1642,plain,
    spl32_245,
    inference(avatar_split_clause,[],[f244,f1639]) ).

fof(f1639,plain,
    ( spl32_245
  <=> n4 = sum(n12,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_245])]) ).

fof(f244,plain,
    n4 = sum(n12,n8),
    inference(cnf_transformation,[],[f5]) ).

fof(f1637,plain,
    ~ spl32_244,
    inference(avatar_split_clause,[],[f362,f1634]) ).

fof(f1634,plain,
    ( spl32_244
  <=> n7 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_244])]) ).

fof(f362,plain,
    n7 != n14,
    inference(cnf_transformation,[],[f5]) ).

fof(f1632,plain,
    spl32_243,
    inference(avatar_split_clause,[],[f48,f1629]) ).

fof(f1629,plain,
    ( spl32_243
  <=> n5 = sum(n11,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_243])]) ).

fof(f48,plain,
    n5 = sum(n11,n10),
    inference(cnf_transformation,[],[f5]) ).

fof(f1627,plain,
    spl32_242,
    inference(avatar_split_clause,[],[f255,f1624]) ).

fof(f1624,plain,
    ( spl32_242
  <=> n7 = sum(n3,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_242])]) ).

fof(f255,plain,
    n7 = sum(n3,n4),
    inference(cnf_transformation,[],[f5]) ).

fof(f1622,plain,
    ~ spl32_241,
    inference(avatar_split_clause,[],[f267,f1619]) ).

fof(f1619,plain,
    ( spl32_241
  <=> n2 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_241])]) ).

fof(f267,plain,
    n2 != n15,
    inference(cnf_transformation,[],[f5]) ).

fof(f1617,plain,
    spl32_240,
    inference(avatar_split_clause,[],[f176,f1614]) ).

fof(f1614,plain,
    ( spl32_240
  <=> n12 = sum(n10,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_240])]) ).

fof(f176,plain,
    n12 = sum(n10,n2),
    inference(cnf_transformation,[],[f5]) ).

fof(f1612,plain,
    ~ spl32_239,
    inference(avatar_split_clause,[],[f97,f1609]) ).

fof(f1609,plain,
    ( spl32_239
  <=> n2 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_239])]) ).

fof(f97,plain,
    n2 != n13,
    inference(cnf_transformation,[],[f5]) ).

fof(f1607,plain,
    spl32_238,
    inference(avatar_split_clause,[],[f33,f1604]) ).

fof(f1604,plain,
    ( spl32_238
  <=> n1 = sum(n1,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_238])]) ).

fof(f33,plain,
    n1 = sum(n1,n0),
    inference(cnf_transformation,[],[f5]) ).

fof(f1602,plain,
    spl32_237,
    inference(avatar_split_clause,[],[f168,f1599]) ).

fof(f1599,plain,
    ( spl32_237
  <=> sum(sum(pred(sK3),succ(sK3)),sum(pred(sK9),succ(sK9))) = sK10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_237])]) ).

fof(f168,plain,
    sum(sum(pred(sK3),succ(sK3)),sum(pred(sK9),succ(sK9))) = sK10,
    inference(cnf_transformation,[],[f5]) ).

fof(f1597,plain,
    spl32_236,
    inference(avatar_split_clause,[],[f80,f1594]) ).

fof(f1594,plain,
    ( spl32_236
  <=> succ(n0) = n1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_236])]) ).

fof(f80,plain,
    succ(n0) = n1,
    inference(cnf_transformation,[],[f5]) ).

fof(f1592,plain,
    spl32_235,
    inference(avatar_split_clause,[],[f218,f1589]) ).

fof(f1589,plain,
    ( spl32_235
  <=> n9 = sum(n14,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_235])]) ).

fof(f218,plain,
    n9 = sum(n14,n11),
    inference(cnf_transformation,[],[f5]) ).

fof(f1587,plain,
    spl32_234,
    inference(avatar_split_clause,[],[f12,f1584]) ).

fof(f1584,plain,
    ( spl32_234
  <=> n9 = sum(n0,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_234])]) ).

fof(f12,plain,
    n9 = sum(n0,n9),
    inference(cnf_transformation,[],[f5]) ).

fof(f1582,plain,
    spl32_233,
    inference(avatar_split_clause,[],[f340,f1579]) ).

fof(f1579,plain,
    ( spl32_233
  <=> n1 = sum(n13,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_233])]) ).

fof(f340,plain,
    n1 = sum(n13,n4),
    inference(cnf_transformation,[],[f5]) ).

fof(f1577,plain,
    spl32_232,
    inference(avatar_split_clause,[],[f64,f1574]) ).

fof(f1574,plain,
    ( spl32_232
  <=> n13 = sum(n10,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_232])]) ).

fof(f64,plain,
    n13 = sum(n10,n3),
    inference(cnf_transformation,[],[f5]) ).

fof(f1572,plain,
    spl32_231,
    inference(avatar_split_clause,[],[f333,f1569]) ).

fof(f1569,plain,
    ( spl32_231
  <=> n3 = sum(n12,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_231])]) ).

fof(f333,plain,
    n3 = sum(n12,n7),
    inference(cnf_transformation,[],[f5]) ).

fof(f1567,plain,
    ~ spl32_230,
    inference(avatar_split_clause,[],[f75,f1564]) ).

fof(f1564,plain,
    ( spl32_230
  <=> n1 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_230])]) ).

fof(f75,plain,
    n1 != n8,
    inference(cnf_transformation,[],[f5]) ).

fof(f1562,plain,
    spl32_229,
    inference(avatar_split_clause,[],[f445,f1559]) ).

fof(f1559,plain,
    ( spl32_229
  <=> n13 = sum(n12,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_229])]) ).

fof(f445,plain,
    n13 = sum(n12,n1),
    inference(cnf_transformation,[],[f5]) ).

fof(f1557,plain,
    ~ spl32_228,
    inference(avatar_split_clause,[],[f314,f1554]) ).

fof(f1554,plain,
    ( spl32_228
  <=> n9 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_228])]) ).

fof(f314,plain,
    n9 != n14,
    inference(cnf_transformation,[],[f5]) ).

fof(f1552,plain,
    ~ spl32_227,
    inference(avatar_split_clause,[],[f247,f1549]) ).

fof(f1549,plain,
    ( spl32_227
  <=> n8 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_227])]) ).

fof(f247,plain,
    n8 != n15,
    inference(cnf_transformation,[],[f5]) ).

fof(f1547,plain,
    spl32_226,
    inference(avatar_split_clause,[],[f388,f1544]) ).

fof(f1544,plain,
    ( spl32_226
  <=> n10 = sum(n3,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_226])]) ).

fof(f388,plain,
    n10 = sum(n3,n7),
    inference(cnf_transformation,[],[f5]) ).

fof(f1542,plain,
    ~ spl32_225,
    inference(avatar_split_clause,[],[f391,f1539]) ).

fof(f1539,plain,
    ( spl32_225
  <=> n5 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_225])]) ).

fof(f391,plain,
    n5 != n9,
    inference(cnf_transformation,[],[f5]) ).

fof(f1537,plain,
    spl32_224,
    inference(avatar_split_clause,[],[f149,f1534]) ).

fof(f1534,plain,
    ( spl32_224
  <=> n7 = sum(n0,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_224])]) ).

fof(f149,plain,
    n7 = sum(n0,n7),
    inference(cnf_transformation,[],[f5]) ).

fof(f1532,plain,
    spl32_223,
    inference(avatar_split_clause,[],[f404,f1529]) ).

fof(f1529,plain,
    ( spl32_223
  <=> n0 = sum(n2,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_223])]) ).

fof(f404,plain,
    n0 = sum(n2,n14),
    inference(cnf_transformation,[],[f5]) ).

fof(f1527,plain,
    ~ spl32_222,
    inference(avatar_split_clause,[],[f294,f1524]) ).

fof(f1524,plain,
    ( spl32_222
  <=> n5 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_222])]) ).

fof(f294,plain,
    n5 != n14,
    inference(cnf_transformation,[],[f5]) ).

fof(f1522,plain,
    spl32_221,
    inference(avatar_split_clause,[],[f58,f1519]) ).

fof(f1519,plain,
    ( spl32_221
  <=> n11 = sum(n14,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_221])]) ).

fof(f58,plain,
    n11 = sum(n14,n13),
    inference(cnf_transformation,[],[f5]) ).

fof(f1517,plain,
    ~ spl32_220,
    inference(avatar_split_clause,[],[f185,f1514]) ).

fof(f1514,plain,
    ( spl32_220
  <=> n2 = n5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_220])]) ).

fof(f185,plain,
    n2 != n5,
    inference(cnf_transformation,[],[f5]) ).

fof(f1512,plain,
    spl32_219,
    inference(avatar_split_clause,[],[f360,f1509]) ).

fof(f1509,plain,
    ( spl32_219
  <=> n4 = sum(n9,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_219])]) ).

fof(f360,plain,
    n4 = sum(n9,n11),
    inference(cnf_transformation,[],[f5]) ).

fof(f1507,plain,
    spl32_218,
    inference(avatar_split_clause,[],[f157,f1504]) ).

fof(f1504,plain,
    ( spl32_218
  <=> n9 = sum(n10,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_218])]) ).

fof(f157,plain,
    n9 = sum(n10,n15),
    inference(cnf_transformation,[],[f5]) ).

fof(f1502,plain,
    spl32_217,
    inference(avatar_split_clause,[],[f336,f1499]) ).

fof(f1499,plain,
    ( spl32_217
  <=> n10 = sum(n0,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_217])]) ).

fof(f336,plain,
    n10 = sum(n0,n10),
    inference(cnf_transformation,[],[f5]) ).

fof(f1497,plain,
    spl32_216,
    inference(avatar_split_clause,[],[f191,f1494]) ).

fof(f1494,plain,
    ( spl32_216
  <=> n2 = sum(n0,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_216])]) ).

fof(f191,plain,
    n2 = sum(n0,n2),
    inference(cnf_transformation,[],[f5]) ).

fof(f1492,plain,
    ~ spl32_215,
    inference(avatar_split_clause,[],[f51,f1489]) ).

fof(f1489,plain,
    ( spl32_215
  <=> n1 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_215])]) ).

fof(f51,plain,
    n1 != n13,
    inference(cnf_transformation,[],[f5]) ).

fof(f1487,plain,
    spl32_214,
    inference(avatar_split_clause,[],[f236,f1484]) ).

fof(f1484,plain,
    ( spl32_214
  <=> n11 = sum(n2,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_214])]) ).

fof(f236,plain,
    n11 = sum(n2,n9),
    inference(cnf_transformation,[],[f5]) ).

fof(f1482,plain,
    spl32_213,
    inference(avatar_split_clause,[],[f374,f1479]) ).

fof(f1479,plain,
    ( spl32_213
  <=> n3 = sum(n1,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_213])]) ).

fof(f374,plain,
    n3 = sum(n1,n2),
    inference(cnf_transformation,[],[f5]) ).

fof(f1477,plain,
    ~ spl32_212,
    inference(avatar_split_clause,[],[f246,f1474]) ).

fof(f1474,plain,
    ( spl32_212
  <=> n0 = n2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_212])]) ).

fof(f246,plain,
    n0 != n2,
    inference(cnf_transformation,[],[f5]) ).

fof(f1472,plain,
    spl32_211,
    inference(avatar_split_clause,[],[f434,f1469]) ).

fof(f1469,plain,
    ( spl32_211
  <=> n9 = sum(n9,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_211])]) ).

fof(f434,plain,
    n9 = sum(n9,n0),
    inference(cnf_transformation,[],[f5]) ).

fof(f1467,plain,
    spl32_210,
    inference(avatar_split_clause,[],[f196,f1464]) ).

fof(f1464,plain,
    ( spl32_210
  <=> n11 = sum(n5,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_210])]) ).

fof(f196,plain,
    n11 = sum(n5,n6),
    inference(cnf_transformation,[],[f5]) ).

fof(f1462,plain,
    ~ spl32_209,
    inference(avatar_split_clause,[],[f432,f1459]) ).

fof(f1459,plain,
    ( spl32_209
  <=> n3 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_209])]) ).

fof(f432,plain,
    n3 != n9,
    inference(cnf_transformation,[],[f5]) ).

fof(f1457,plain,
    spl32_208,
    inference(avatar_split_clause,[],[f29,f1454]) ).

fof(f1454,plain,
    ( spl32_208
  <=> n8 = sum(n8,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_208])]) ).

fof(f29,plain,
    n8 = sum(n8,n0),
    inference(cnf_transformation,[],[f5]) ).

fof(f1452,plain,
    spl32_207,
    inference(avatar_split_clause,[],[f153,f1449]) ).

fof(f1449,plain,
    ( spl32_207
  <=> n7 = sum(n10,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_207])]) ).

fof(f153,plain,
    n7 = sum(n10,n13),
    inference(cnf_transformation,[],[f5]) ).

fof(f1447,plain,
    spl32_206,
    inference(avatar_split_clause,[],[f74,f1444]) ).

fof(f1444,plain,
    ( spl32_206
  <=> n5 = sum(n0,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_206])]) ).

fof(f74,plain,
    n5 = sum(n0,n5),
    inference(cnf_transformation,[],[f5]) ).

fof(f1442,plain,
    spl32_205,
    inference(avatar_split_clause,[],[f234,f1439]) ).

fof(f1439,plain,
    ( spl32_205
  <=> n6 = sum(n9,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_205])]) ).

fof(f234,plain,
    n6 = sum(n9,n13),
    inference(cnf_transformation,[],[f5]) ).

fof(f1437,plain,
    ~ spl32_204,
    inference(avatar_split_clause,[],[f270,f1434]) ).

fof(f1434,plain,
    ( spl32_204
  <=> n2 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_204])]) ).

fof(f270,plain,
    n2 != n11,
    inference(cnf_transformation,[],[f5]) ).

fof(f1432,plain,
    spl32_203,
    inference(avatar_split_clause,[],[f311,f1429]) ).

fof(f1429,plain,
    ( spl32_203
  <=> n8 = sum(n11,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_203])]) ).

fof(f311,plain,
    n8 = sum(n11,n13),
    inference(cnf_transformation,[],[f5]) ).

fof(f1427,plain,
    spl32_202,
    inference(avatar_split_clause,[],[f288,f1424]) ).

fof(f1424,plain,
    ( spl32_202
  <=> n2 = sum(n11,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_202])]) ).

fof(f288,plain,
    n2 = sum(n11,n7),
    inference(cnf_transformation,[],[f5]) ).

fof(f1422,plain,
    spl32_201,
    inference(avatar_split_clause,[],[f53,f1419]) ).

fof(f1419,plain,
    ( spl32_201
  <=> n15 = sum(n0,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_201])]) ).

fof(f53,plain,
    n15 = sum(n0,n15),
    inference(cnf_transformation,[],[f5]) ).

fof(f1417,plain,
    spl32_200,
    inference(avatar_split_clause,[],[f40,f1414]) ).

fof(f1414,plain,
    ( spl32_200
  <=> n1 = sum(n15,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_200])]) ).

fof(f40,plain,
    n1 = sum(n15,n2),
    inference(cnf_transformation,[],[f5]) ).

fof(f1412,plain,
    ~ spl32_199,
    inference(avatar_split_clause,[],[f386,f1409]) ).

fof(f1409,plain,
    ( spl32_199
  <=> n3 = n6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_199])]) ).

fof(f386,plain,
    n3 != n6,
    inference(cnf_transformation,[],[f5]) ).

fof(f1407,plain,
    spl32_198,
    inference(avatar_split_clause,[],[f88,f1404]) ).

fof(f1404,plain,
    ( spl32_198
  <=> n6 = sum(n12,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_198])]) ).

fof(f88,plain,
    n6 = sum(n12,n10),
    inference(cnf_transformation,[],[f5]) ).

fof(f1402,plain,
    spl32_197,
    inference(avatar_split_clause,[],[f27,f1399]) ).

fof(f1399,plain,
    ( spl32_197
  <=> n9 = pred(n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_197])]) ).

fof(f27,plain,
    n9 = pred(n10),
    inference(cnf_transformation,[],[f5]) ).

fof(f1397,plain,
    spl32_196,
    inference(avatar_split_clause,[],[f163,f1394]) ).

fof(f1394,plain,
    ( spl32_196
  <=> n12 = sum(n4,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_196])]) ).

fof(f163,plain,
    n12 = sum(n4,n8),
    inference(cnf_transformation,[],[f5]) ).

fof(f1392,plain,
    spl32_195,
    inference(avatar_split_clause,[],[f420,f1389]) ).

fof(f1389,plain,
    ( spl32_195
  <=> sK31 = sum(sum(pred(sK29),succ(sK29)),sum(pred(sK25),succ(sK25))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_195])]) ).

fof(f420,plain,
    sK31 = sum(sum(pred(sK29),succ(sK29)),sum(pred(sK25),succ(sK25))),
    inference(cnf_transformation,[],[f5]) ).

fof(f1387,plain,
    spl32_194,
    inference(avatar_split_clause,[],[f134,f1384]) ).

fof(f1384,plain,
    ( spl32_194
  <=> n5 = sum(n5,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_194])]) ).

fof(f134,plain,
    n5 = sum(n5,n0),
    inference(cnf_transformation,[],[f5]) ).

fof(f1382,plain,
    spl32_193,
    inference(avatar_split_clause,[],[f319,f1379]) ).

fof(f1379,plain,
    ( spl32_193
  <=> n10 = sum(n5,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_193])]) ).

fof(f319,plain,
    n10 = sum(n5,n5),
    inference(cnf_transformation,[],[f5]) ).

fof(f1377,plain,
    spl32_192,
    inference(avatar_split_clause,[],[f347,f1374]) ).

fof(f1374,plain,
    ( spl32_192
  <=> sum(sum(pred(sK19),succ(sK19)),sum(pred(sK12),succ(sK12))) = sK25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_192])]) ).

fof(f347,plain,
    sum(sum(pred(sK19),succ(sK19)),sum(pred(sK12),succ(sK12))) = sK25,
    inference(cnf_transformation,[],[f5]) ).

fof(f1372,plain,
    spl32_191,
    inference(avatar_split_clause,[],[f43,f1369]) ).

fof(f1369,plain,
    ( spl32_191
  <=> n2 = sum(n8,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_191])]) ).

fof(f43,plain,
    n2 = sum(n8,n10),
    inference(cnf_transformation,[],[f5]) ).

fof(f1367,plain,
    spl32_190,
    inference(avatar_split_clause,[],[f320,f1364]) ).

fof(f1364,plain,
    ( spl32_190
  <=> n11 = pred(n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_190])]) ).

fof(f320,plain,
    n11 = pred(n12),
    inference(cnf_transformation,[],[f5]) ).

fof(f1362,plain,
    spl32_189,
    inference(avatar_split_clause,[],[f303,f1359]) ).

fof(f1359,plain,
    ( spl32_189
  <=> n7 = sum(n8,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_189])]) ).

fof(f303,plain,
    n7 = sum(n8,n15),
    inference(cnf_transformation,[],[f5]) ).

fof(f1357,plain,
    spl32_188,
    inference(avatar_split_clause,[],[f396,f1354]) ).

fof(f1354,plain,
    ( spl32_188
  <=> n12 = sum(n11,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_188])]) ).

fof(f396,plain,
    n12 = sum(n11,n1),
    inference(cnf_transformation,[],[f5]) ).

fof(f1352,plain,
    spl32_187,
    inference(avatar_split_clause,[],[f437,f1349]) ).

fof(f1349,plain,
    ( spl32_187
  <=> n8 = sum(n12,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_187])]) ).

fof(f437,plain,
    n8 = sum(n12,n12),
    inference(cnf_transformation,[],[f5]) ).

fof(f1347,plain,
    spl32_186,
    inference(avatar_split_clause,[],[f167,f1344]) ).

fof(f1344,plain,
    ( spl32_186
  <=> n13 = sum(n11,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_186])]) ).

fof(f167,plain,
    n13 = sum(n11,n2),
    inference(cnf_transformation,[],[f5]) ).

fof(f1342,plain,
    spl32_185,
    inference(avatar_split_clause,[],[f229,f1339]) ).

fof(f1339,plain,
    ( spl32_185
  <=> n15 = sum(n6,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_185])]) ).

fof(f229,plain,
    n15 = sum(n6,n9),
    inference(cnf_transformation,[],[f5]) ).

fof(f1337,plain,
    spl32_184,
    inference(avatar_split_clause,[],[f389,f1334]) ).

fof(f1334,plain,
    ( spl32_184
  <=> n14 = sum(n1,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_184])]) ).

fof(f389,plain,
    n14 = sum(n1,n13),
    inference(cnf_transformation,[],[f5]) ).

fof(f1332,plain,
    spl32_183,
    inference(avatar_split_clause,[],[f23,f1329]) ).

fof(f1329,plain,
    ( spl32_183
  <=> n7 = sum(n12,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_183])]) ).

fof(f23,plain,
    n7 = sum(n12,n11),
    inference(cnf_transformation,[],[f5]) ).

fof(f1327,plain,
    spl32_182,
    inference(avatar_split_clause,[],[f126,f1324]) ).

fof(f1324,plain,
    ( spl32_182
  <=> n11 = sum(n6,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_182])]) ).

fof(f126,plain,
    n11 = sum(n6,n5),
    inference(cnf_transformation,[],[f5]) ).

fof(f1322,plain,
    spl32_181,
    inference(avatar_split_clause,[],[f161,f1319]) ).

fof(f1319,plain,
    ( spl32_181
  <=> n15 = sum(n1,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_181])]) ).

fof(f161,plain,
    n15 = sum(n1,n14),
    inference(cnf_transformation,[],[f5]) ).

fof(f1317,plain,
    ~ spl32_180,
    inference(avatar_split_clause,[],[f171,f1314]) ).

fof(f1314,plain,
    ( spl32_180
  <=> n0 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_180])]) ).

fof(f171,plain,
    n0 != n14,
    inference(cnf_transformation,[],[f5]) ).

fof(f1312,plain,
    ~ spl32_179,
    inference(avatar_split_clause,[],[f103,f1309]) ).

fof(f1309,plain,
    ( spl32_179
  <=> n10 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_179])]) ).

fof(f103,plain,
    n10 != n14,
    inference(cnf_transformation,[],[f5]) ).

fof(f1307,plain,
    spl32_178,
    inference(avatar_split_clause,[],[f381,f1304]) ).

fof(f1304,plain,
    ( spl32_178
  <=> n14 = sum(n8,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_178])]) ).

fof(f381,plain,
    n14 = sum(n8,n6),
    inference(cnf_transformation,[],[f5]) ).

fof(f1302,plain,
    spl32_177,
    inference(avatar_split_clause,[],[f328,f1299]) ).

fof(f1299,plain,
    ( spl32_177
  <=> n13 = sum(n6,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_177])]) ).

fof(f328,plain,
    n13 = sum(n6,n7),
    inference(cnf_transformation,[],[f5]) ).

fof(f1297,plain,
    ~ spl32_176,
    inference(avatar_split_clause,[],[f412,f1294]) ).

fof(f1294,plain,
    ( spl32_176
  <=> n1 = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_176])]) ).

fof(f412,plain,
    n1 != n7,
    inference(cnf_transformation,[],[f5]) ).

fof(f1292,plain,
    spl32_175,
    inference(avatar_split_clause,[],[f309,f1289]) ).

fof(f1289,plain,
    ( spl32_175
  <=> n8 = sum(n14,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_175])]) ).

fof(f309,plain,
    n8 = sum(n14,n10),
    inference(cnf_transformation,[],[f5]) ).

fof(f1287,plain,
    spl32_174,
    inference(avatar_split_clause,[],[f210,f1284]) ).

fof(f1284,plain,
    ( spl32_174
  <=> sK1 = sum(sum(pred(sK13),succ(sK5)),sum(pred(sK5),succ(sK13))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_174])]) ).

fof(f210,plain,
    sK1 = sum(sum(pred(sK13),succ(sK5)),sum(pred(sK5),succ(sK13))),
    inference(cnf_transformation,[],[f5]) ).

fof(f1282,plain,
    spl32_173,
    inference(avatar_split_clause,[],[f78,f1279]) ).

fof(f1279,plain,
    ( spl32_173
  <=> n12 = sum(n2,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_173])]) ).

fof(f78,plain,
    n12 = sum(n2,n10),
    inference(cnf_transformation,[],[f5]) ).

fof(f1277,plain,
    spl32_172,
    inference(avatar_split_clause,[],[f335,f1274]) ).

fof(f1274,plain,
    ( spl32_172
  <=> sK11 = sum(sum(pred(sK28),succ(sK28)),sum(pred(sK23),succ(sK23))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_172])]) ).

fof(f335,plain,
    sK11 = sum(sum(pred(sK28),succ(sK28)),sum(pred(sK23),succ(sK23))),
    inference(cnf_transformation,[],[f5]) ).

fof(f1272,plain,
    ~ spl32_171,
    inference(avatar_split_clause,[],[f67,f1269]) ).

fof(f1269,plain,
    ( spl32_171
  <=> n5 = n6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_171])]) ).

fof(f67,plain,
    n5 != n6,
    inference(cnf_transformation,[],[f5]) ).

fof(f1267,plain,
    spl32_170,
    inference(avatar_split_clause,[],[f251,f1264]) ).

fof(f1264,plain,
    ( spl32_170
  <=> n6 = sum(n5,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_170])]) ).

fof(f251,plain,
    n6 = sum(n5,n1),
    inference(cnf_transformation,[],[f5]) ).

fof(f1262,plain,
    spl32_169,
    inference(avatar_split_clause,[],[f312,f1259]) ).

fof(f1259,plain,
    ( spl32_169
  <=> sum(sum(pred(sK27),succ(sK27)),sum(pred(sK31),succ(sK31))) = sK9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_169])]) ).

fof(f312,plain,
    sum(sum(pred(sK27),succ(sK27)),sum(pred(sK31),succ(sK31))) = sK9,
    inference(cnf_transformation,[],[f5]) ).

fof(f1257,plain,
    spl32_168,
    inference(avatar_split_clause,[],[f398,f1254]) ).

fof(f1254,plain,
    ( spl32_168
  <=> n1 = sum(n3,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_168])]) ).

fof(f398,plain,
    n1 = sum(n3,n14),
    inference(cnf_transformation,[],[f5]) ).

fof(f1252,plain,
    ~ spl32_167,
    inference(avatar_split_clause,[],[f235,f1249]) ).

fof(f1249,plain,
    ( spl32_167
  <=> n4 = n6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_167])]) ).

fof(f235,plain,
    n4 != n6,
    inference(cnf_transformation,[],[f5]) ).

fof(f1247,plain,
    ~ spl32_166,
    inference(avatar_split_clause,[],[f428,f1244]) ).

fof(f1244,plain,
    ( spl32_166
  <=> n8 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_166])]) ).

fof(f428,plain,
    n8 != n12,
    inference(cnf_transformation,[],[f5]) ).

fof(f1242,plain,
    ~ spl32_165,
    inference(avatar_split_clause,[],[f116,f1239]) ).

fof(f1239,plain,
    ( spl32_165
  <=> n6 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_165])]) ).

fof(f116,plain,
    n6 != n12,
    inference(cnf_transformation,[],[f5]) ).

fof(f1237,plain,
    spl32_164,
    inference(avatar_split_clause,[],[f272,f1234]) ).

fof(f1234,plain,
    ( spl32_164
  <=> n3 = sum(n2,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_164])]) ).

fof(f272,plain,
    n3 = sum(n2,n1),
    inference(cnf_transformation,[],[f5]) ).

fof(f1232,plain,
    spl32_163,
    inference(avatar_split_clause,[],[f60,f1229]) ).

fof(f1229,plain,
    ( spl32_163
  <=> succ(n11) = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_163])]) ).

fof(f60,plain,
    succ(n11) = n12,
    inference(cnf_transformation,[],[f5]) ).

fof(f1227,plain,
    spl32_162,
    inference(avatar_split_clause,[],[f66,f1224]) ).

fof(f1224,plain,
    ( spl32_162
  <=> n4 = sum(n11,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_162])]) ).

fof(f66,plain,
    n4 = sum(n11,n9),
    inference(cnf_transformation,[],[f5]) ).

fof(f1222,plain,
    spl32_161,
    inference(avatar_split_clause,[],[f14,f1219]) ).

fof(f1219,plain,
    ( spl32_161
  <=> n12 = sum(n5,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_161])]) ).

fof(f14,plain,
    n12 = sum(n5,n7),
    inference(cnf_transformation,[],[f5]) ).

fof(f1217,plain,
    spl32_160,
    inference(avatar_split_clause,[],[f224,f1214]) ).

fof(f1214,plain,
    ( spl32_160
  <=> n8 = sum(n5,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_160])]) ).

fof(f224,plain,
    n8 = sum(n5,n3),
    inference(cnf_transformation,[],[f5]) ).

fof(f1212,plain,
    spl32_159,
    inference(avatar_split_clause,[],[f337,f1209]) ).

fof(f1209,plain,
    ( spl32_159
  <=> n2 = sum(n4,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_159])]) ).

fof(f337,plain,
    n2 = sum(n4,n14),
    inference(cnf_transformation,[],[f5]) ).

fof(f1207,plain,
    spl32_158,
    inference(avatar_split_clause,[],[f148,f1204]) ).

fof(f1204,plain,
    ( spl32_158
  <=> n10 = sum(n7,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_158])]) ).

fof(f148,plain,
    n10 = sum(n7,n3),
    inference(cnf_transformation,[],[f5]) ).

fof(f1202,plain,
    ~ spl32_157,
    inference(avatar_split_clause,[],[f415,f1199]) ).

fof(f1199,plain,
    ( spl32_157
  <=> n6 = n8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_157])]) ).

fof(f415,plain,
    n6 != n8,
    inference(cnf_transformation,[],[f5]) ).

fof(f1197,plain,
    ~ spl32_156,
    inference(avatar_split_clause,[],[f37,f1194]) ).

fof(f1194,plain,
    ( spl32_156
  <=> n5 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_156])]) ).

fof(f37,plain,
    n5 != n12,
    inference(cnf_transformation,[],[f5]) ).

fof(f1192,plain,
    ~ spl32_155,
    inference(avatar_split_clause,[],[f120,f1189]) ).

fof(f1189,plain,
    ( spl32_155
  <=> n7 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_155])]) ).

fof(f120,plain,
    n7 != n15,
    inference(cnf_transformation,[],[f5]) ).

fof(f1187,plain,
    ~ spl32_154,
    inference(avatar_split_clause,[],[f338,f1184]) ).

fof(f1184,plain,
    ( spl32_154
  <=> n4 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_154])]) ).

fof(f338,plain,
    n4 != n12,
    inference(cnf_transformation,[],[f5]) ).

fof(f1182,plain,
    ~ spl32_153,
    inference(avatar_split_clause,[],[f55,f1179]) ).

fof(f1179,plain,
    ( spl32_153
  <=> n6 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_153])]) ).

fof(f55,plain,
    n6 != n15,
    inference(cnf_transformation,[],[f5]) ).

fof(f1177,plain,
    spl32_152,
    inference(avatar_split_clause,[],[f201,f1174]) ).

fof(f1174,plain,
    ( spl32_152
  <=> n15 = sum(n13,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_152])]) ).

fof(f201,plain,
    n15 = sum(n13,n2),
    inference(cnf_transformation,[],[f5]) ).

fof(f1172,plain,
    ~ spl32_151,
    inference(avatar_split_clause,[],[f332,f1169]) ).

fof(f1169,plain,
    ( spl32_151
  <=> n8 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_151])]) ).

fof(f332,plain,
    n8 != n13,
    inference(cnf_transformation,[],[f5]) ).

fof(f1167,plain,
    spl32_150,
    inference(avatar_split_clause,[],[f84,f1164]) ).

fof(f1164,plain,
    ( spl32_150
  <=> n4 = pred(n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_150])]) ).

fof(f84,plain,
    n4 = pred(n5),
    inference(cnf_transformation,[],[f5]) ).

fof(f1162,plain,
    spl32_149,
    inference(avatar_split_clause,[],[f260,f1159]) ).

fof(f1159,plain,
    ( spl32_149
  <=> n4 = sum(n5,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_149])]) ).

fof(f260,plain,
    n4 = sum(n5,n15),
    inference(cnf_transformation,[],[f5]) ).

fof(f1157,plain,
    ~ spl32_148,
    inference(avatar_split_clause,[],[f194,f1154]) ).

fof(f1154,plain,
    ( spl32_148
  <=> n6 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_148])]) ).

fof(f194,plain,
    n6 != n9,
    inference(cnf_transformation,[],[f5]) ).

fof(f1152,plain,
    ~ spl32_147,
    inference(avatar_split_clause,[],[f54,f1149]) ).

fof(f1149,plain,
    ( spl32_147
  <=> n2 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_147])]) ).

fof(f54,plain,
    n2 != n14,
    inference(cnf_transformation,[],[f5]) ).

fof(f1147,plain,
    ~ spl32_146,
    inference(avatar_split_clause,[],[f115,f1144]) ).

fof(f1144,plain,
    ( spl32_146
  <=> n7 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_146])]) ).

fof(f115,plain,
    n7 != n9,
    inference(cnf_transformation,[],[f5]) ).

fof(f1142,plain,
    spl32_145,
    inference(avatar_split_clause,[],[f378,f1139]) ).

fof(f1139,plain,
    ( spl32_145
  <=> n5 = sum(n4,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_145])]) ).

fof(f378,plain,
    n5 = sum(n4,n1),
    inference(cnf_transformation,[],[f5]) ).

fof(f1137,plain,
    spl32_144,
    inference(avatar_split_clause,[],[f162,f1134]) ).

fof(f1134,plain,
    ( spl32_144
  <=> n13 = sum(n4,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_144])]) ).

fof(f162,plain,
    n13 = sum(n4,n9),
    inference(cnf_transformation,[],[f5]) ).

fof(f1132,plain,
    spl32_143,
    inference(avatar_split_clause,[],[f31,f1129]) ).

fof(f1129,plain,
    ( spl32_143
  <=> n11 = sum(n3,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_143])]) ).

fof(f31,plain,
    n11 = sum(n3,n8),
    inference(cnf_transformation,[],[f5]) ).

fof(f1127,plain,
    spl32_142,
    inference(avatar_split_clause,[],[f102,f1124]) ).

fof(f1124,plain,
    ( spl32_142
  <=> n4 = sum(n8,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_142])]) ).

fof(f102,plain,
    n4 = sum(n8,n12),
    inference(cnf_transformation,[],[f5]) ).

fof(f1122,plain,
    spl32_141,
    inference(avatar_split_clause,[],[f276,f1119]) ).

fof(f1119,plain,
    ( spl32_141
  <=> n4 = sum(n4,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_141])]) ).

fof(f276,plain,
    n4 = sum(n4,n0),
    inference(cnf_transformation,[],[f5]) ).

fof(f1117,plain,
    spl32_140,
    inference(avatar_split_clause,[],[f408,f1114]) ).

fof(f1114,plain,
    ( spl32_140
  <=> n0 = sum(n6,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_140])]) ).

fof(f408,plain,
    n0 = sum(n6,n10),
    inference(cnf_transformation,[],[f5]) ).

fof(f1112,plain,
    spl32_139,
    inference(avatar_split_clause,[],[f345,f1109]) ).

fof(f1109,plain,
    ( spl32_139
  <=> n2 = sum(n14,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_139])]) ).

fof(f345,plain,
    n2 = sum(n14,n4),
    inference(cnf_transformation,[],[f5]) ).

fof(f1107,plain,
    spl32_138,
    inference(avatar_split_clause,[],[f409,f1104]) ).

fof(f1104,plain,
    ( spl32_138
  <=> n11 = sum(n15,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_138])]) ).

fof(f409,plain,
    n11 = sum(n15,n12),
    inference(cnf_transformation,[],[f5]) ).

fof(f1102,plain,
    spl32_137,
    inference(avatar_split_clause,[],[f277,f1099]) ).

fof(f1099,plain,
    ( spl32_137
  <=> n1 = sum(n6,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_137])]) ).

fof(f277,plain,
    n1 = sum(n6,n11),
    inference(cnf_transformation,[],[f5]) ).

fof(f1097,plain,
    ~ spl32_136,
    inference(avatar_split_clause,[],[f392,f1094]) ).

fof(f1094,plain,
    ( spl32_136
  <=> n10 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_136])]) ).

fof(f392,plain,
    n10 != n11,
    inference(cnf_transformation,[],[f5]) ).

fof(f1092,plain,
    spl32_135,
    inference(avatar_split_clause,[],[f24,f1089]) ).

fof(f1089,plain,
    ( spl32_135
  <=> n7 = sum(n11,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_135])]) ).

fof(f24,plain,
    n7 = sum(n11,n12),
    inference(cnf_transformation,[],[f5]) ).

fof(f1087,plain,
    spl32_134,
    inference(avatar_split_clause,[],[f355,f1084]) ).

fof(f1084,plain,
    ( spl32_134
  <=> n6 = sum(n8,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_134])]) ).

fof(f355,plain,
    n6 = sum(n8,n14),
    inference(cnf_transformation,[],[f5]) ).

fof(f1082,plain,
    spl32_133,
    inference(avatar_split_clause,[],[f108,f1079]) ).

fof(f1079,plain,
    ( spl32_133
  <=> n2 = sum(n10,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_133])]) ).

fof(f108,plain,
    n2 = sum(n10,n8),
    inference(cnf_transformation,[],[f5]) ).

fof(f1077,plain,
    ~ spl32_132,
    inference(avatar_split_clause,[],[f166,f1074]) ).

fof(f1074,plain,
    ( spl32_132
  <=> n10 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_132])]) ).

fof(f166,plain,
    n10 != n15,
    inference(cnf_transformation,[],[f5]) ).

fof(f1072,plain,
    ~ spl32_131,
    inference(avatar_split_clause,[],[f203,f1069]) ).

fof(f1069,plain,
    ( spl32_131
  <=> n0 = n1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_131])]) ).

fof(f203,plain,
    n0 != n1,
    inference(cnf_transformation,[],[f5]) ).

fof(f1067,plain,
    spl32_130,
    inference(avatar_split_clause,[],[f138,f1064]) ).

fof(f1064,plain,
    ( spl32_130
  <=> n8 = pred(n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_130])]) ).

fof(f138,plain,
    n8 = pred(n9),
    inference(cnf_transformation,[],[f5]) ).

fof(f1062,plain,
    spl32_129,
    inference(avatar_split_clause,[],[f238,f1059]) ).

fof(f1059,plain,
    ( spl32_129
  <=> n14 = sum(n15,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_129])]) ).

fof(f238,plain,
    n14 = sum(n15,n15),
    inference(cnf_transformation,[],[f5]) ).

fof(f1057,plain,
    spl32_128,
    inference(avatar_split_clause,[],[f305,f1054]) ).

fof(f1054,plain,
    ( spl32_128
  <=> n8 = sum(n3,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_128])]) ).

fof(f305,plain,
    n8 = sum(n3,n5),
    inference(cnf_transformation,[],[f5]) ).

fof(f1052,plain,
    spl32_127,
    inference(avatar_split_clause,[],[f186,f1049]) ).

fof(f1049,plain,
    ( spl32_127
  <=> n14 = sum(n6,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_127])]) ).

fof(f186,plain,
    n14 = sum(n6,n8),
    inference(cnf_transformation,[],[f5]) ).

fof(f1047,plain,
    ~ spl32_126,
    inference(avatar_split_clause,[],[f424,f1044]) ).

fof(f1044,plain,
    ( spl32_126
  <=> n8 = n9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_126])]) ).

fof(f424,plain,
    n8 != n9,
    inference(cnf_transformation,[],[f5]) ).

fof(f1042,plain,
    spl32_125,
    inference(avatar_split_clause,[],[f223,f1039]) ).

fof(f1039,plain,
    ( spl32_125
  <=> n4 = sum(n0,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_125])]) ).

fof(f223,plain,
    n4 = sum(n0,n4),
    inference(cnf_transformation,[],[f5]) ).

fof(f1037,plain,
    spl32_124,
    inference(avatar_split_clause,[],[f200,f1034]) ).

fof(f1034,plain,
    ( spl32_124
  <=> n1 = sum(n5,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_124])]) ).

fof(f200,plain,
    n1 = sum(n5,n12),
    inference(cnf_transformation,[],[f5]) ).

fof(f1032,plain,
    spl32_123,
    inference(avatar_split_clause,[],[f156,f1029]) ).

fof(f1029,plain,
    ( spl32_123
  <=> n0 = sum(n5,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_123])]) ).

fof(f156,plain,
    n0 = sum(n5,n11),
    inference(cnf_transformation,[],[f5]) ).

fof(f1027,plain,
    spl32_122,
    inference(avatar_split_clause,[],[f233,f1024]) ).

fof(f1024,plain,
    ( spl32_122
  <=> succ(n9) = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_122])]) ).

fof(f233,plain,
    succ(n9) = n10,
    inference(cnf_transformation,[],[f5]) ).

fof(f1022,plain,
    spl32_121,
    inference(avatar_split_clause,[],[f256,f1019]) ).

fof(f1019,plain,
    ( spl32_121
  <=> n11 = sum(n7,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_121])]) ).

fof(f256,plain,
    n11 = sum(n7,n4),
    inference(cnf_transformation,[],[f5]) ).

fof(f1017,plain,
    spl32_120,
    inference(avatar_split_clause,[],[f399,f1014]) ).

fof(f1014,plain,
    ( spl32_120
  <=> n3 = sum(n6,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_120])]) ).

fof(f399,plain,
    n3 = sum(n6,n13),
    inference(cnf_transformation,[],[f5]) ).

fof(f1012,plain,
    spl32_119,
    inference(avatar_split_clause,[],[f139,f1009]) ).

fof(f1009,plain,
    ( spl32_119
  <=> n13 = sum(n14,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_119])]) ).

fof(f139,plain,
    n13 = sum(n14,n15),
    inference(cnf_transformation,[],[f5]) ).

fof(f1007,plain,
    spl32_118,
    inference(avatar_split_clause,[],[f41,f1004]) ).

fof(f1004,plain,
    ( spl32_118
  <=> n3 = sum(n14,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_118])]) ).

fof(f41,plain,
    n3 = sum(n14,n5),
    inference(cnf_transformation,[],[f5]) ).

fof(f1002,plain,
    spl32_117,
    inference(avatar_split_clause,[],[f431,f999]) ).

fof(f999,plain,
    ( spl32_117
  <=> n3 = sum(n4,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_117])]) ).

fof(f431,plain,
    n3 = sum(n4,n15),
    inference(cnf_transformation,[],[f5]) ).

fof(f997,plain,
    spl32_116,
    inference(avatar_split_clause,[],[f325,f994]) ).

fof(f994,plain,
    ( spl32_116
  <=> n8 = sum(n6,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_116])]) ).

fof(f325,plain,
    n8 = sum(n6,n2),
    inference(cnf_transformation,[],[f5]) ).

fof(f992,plain,
    spl32_115,
    inference(avatar_split_clause,[],[f226,f989]) ).

fof(f989,plain,
    ( spl32_115
  <=> n8 = sum(n4,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_115])]) ).

fof(f226,plain,
    n8 = sum(n4,n4),
    inference(cnf_transformation,[],[f5]) ).

fof(f987,plain,
    spl32_114,
    inference(avatar_split_clause,[],[f143,f984]) ).

fof(f984,plain,
    ( spl32_114
  <=> n13 = pred(n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_114])]) ).

fof(f143,plain,
    n13 = pred(n14),
    inference(cnf_transformation,[],[f5]) ).

fof(f982,plain,
    ( spl32_98
    | spl32_99
    | spl32_100
    | spl32_101
    | spl32_102
    | spl32_103
    | spl32_104
    | spl32_105
    | spl32_106
    | spl32_107
    | spl32_108
    | spl32_109
    | spl32_110
    | spl32_111
    | spl32_112
    | spl32_113 ),
    inference(avatar_split_clause,[],[f291,f979,f975,f971,f967,f963,f959,f955,f951,f947,f943,f939,f935,f931,f927,f923,f919]) ).

fof(f919,plain,
    ( spl32_98
  <=> n11 = sK14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_98])]) ).

fof(f923,plain,
    ( spl32_99
  <=> n15 = sK14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_99])]) ).

fof(f927,plain,
    ( spl32_100
  <=> n14 = sK14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_100])]) ).

fof(f931,plain,
    ( spl32_101
  <=> n6 = sK14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_101])]) ).

fof(f935,plain,
    ( spl32_102
  <=> n2 = sK14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_102])]) ).

fof(f939,plain,
    ( spl32_103
  <=> n9 = sK14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_103])]) ).

fof(f943,plain,
    ( spl32_104
  <=> n10 = sK14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_104])]) ).

fof(f947,plain,
    ( spl32_105
  <=> n13 = sK14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_105])]) ).

fof(f951,plain,
    ( spl32_106
  <=> n3 = sK14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_106])]) ).

fof(f955,plain,
    ( spl32_107
  <=> n8 = sK14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_107])]) ).

fof(f959,plain,
    ( spl32_108
  <=> n4 = sK14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_108])]) ).

fof(f963,plain,
    ( spl32_109
  <=> n1 = sK14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_109])]) ).

fof(f967,plain,
    ( spl32_110
  <=> n0 = sK14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_110])]) ).

fof(f971,plain,
    ( spl32_111
  <=> n12 = sK14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_111])]) ).

fof(f975,plain,
    ( spl32_112
  <=> n7 = sK14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_112])]) ).

fof(f979,plain,
    ( spl32_113
  <=> n5 = sK14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_113])]) ).

fof(f291,plain,
    ( n5 = sK14
    | n7 = sK14
    | n12 = sK14
    | n0 = sK14
    | n1 = sK14
    | n4 = sK14
    | n8 = sK14
    | n3 = sK14
    | n13 = sK14
    | n10 = sK14
    | n9 = sK14
    | n2 = sK14
    | n6 = sK14
    | n14 = sK14
    | n15 = sK14
    | n11 = sK14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f917,plain,
    ~ spl32_97,
    inference(avatar_split_clause,[],[f446,f914]) ).

fof(f914,plain,
    ( spl32_97
  <=> n6 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_97])]) ).

fof(f446,plain,
    n6 != n13,
    inference(cnf_transformation,[],[f5]) ).

fof(f912,plain,
    ~ spl32_96,
    inference(avatar_split_clause,[],[f302,f909]) ).

fof(f909,plain,
    ( spl32_96
  <=> n3 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_96])]) ).

fof(f302,plain,
    n3 != n11,
    inference(cnf_transformation,[],[f5]) ).

fof(f907,plain,
    spl32_95,
    inference(avatar_split_clause,[],[f310,f904]) ).

fof(f904,plain,
    ( spl32_95
  <=> n2 = pred(n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_95])]) ).

fof(f310,plain,
    n2 = pred(n3),
    inference(cnf_transformation,[],[f5]) ).

fof(f902,plain,
    spl32_94,
    inference(avatar_split_clause,[],[f47,f899]) ).

fof(f899,plain,
    ( spl32_94
  <=> n2 = sum(n15,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_94])]) ).

fof(f47,plain,
    n2 = sum(n15,n3),
    inference(cnf_transformation,[],[f5]) ).

fof(f897,plain,
    spl32_93,
    inference(avatar_split_clause,[],[f125,f894]) ).

fof(f894,plain,
    ( spl32_93
  <=> n10 = pred(n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_93])]) ).

fof(f125,plain,
    n10 = pred(n11),
    inference(cnf_transformation,[],[f5]) ).

fof(f892,plain,
    spl32_92,
    inference(avatar_split_clause,[],[f132,f889]) ).

fof(f889,plain,
    ( spl32_92
  <=> n9 = sum(n2,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_92])]) ).

fof(f132,plain,
    n9 = sum(n2,n7),
    inference(cnf_transformation,[],[f5]) ).

fof(f887,plain,
    spl32_91,
    inference(avatar_split_clause,[],[f172,f884]) ).

fof(f884,plain,
    ( spl32_91
  <=> n9 = sum(n11,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_91])]) ).

fof(f172,plain,
    n9 = sum(n11,n14),
    inference(cnf_transformation,[],[f5]) ).

fof(f882,plain,
    spl32_90,
    inference(avatar_split_clause,[],[f417,f879]) ).

fof(f879,plain,
    ( spl32_90
  <=> n1 = sum(n12,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_90])]) ).

fof(f417,plain,
    n1 = sum(n12,n5),
    inference(cnf_transformation,[],[f5]) ).

fof(f877,plain,
    spl32_89,
    inference(avatar_split_clause,[],[f46,f874]) ).

fof(f874,plain,
    ( spl32_89
  <=> n4 = sum(n2,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_89])]) ).

fof(f46,plain,
    n4 = sum(n2,n2),
    inference(cnf_transformation,[],[f5]) ).

fof(f872,plain,
    ~ spl32_88,
    inference(avatar_split_clause,[],[f348,f869]) ).

fof(f869,plain,
    ( spl32_88
  <=> n3 = n10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_88])]) ).

fof(f348,plain,
    n3 != n10,
    inference(cnf_transformation,[],[f5]) ).

fof(f867,plain,
    spl32_87,
    inference(avatar_split_clause,[],[f70,f864]) ).

fof(f864,plain,
    ( spl32_87
  <=> n9 = sum(n13,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_87])]) ).

fof(f70,plain,
    n9 = sum(n13,n12),
    inference(cnf_transformation,[],[f5]) ).

fof(f862,plain,
    spl32_86,
    inference(avatar_split_clause,[],[f198,f859]) ).

fof(f859,plain,
    ( spl32_86
  <=> n15 = sum(n4,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_86])]) ).

fof(f198,plain,
    n15 = sum(n4,n11),
    inference(cnf_transformation,[],[f5]) ).

fof(f857,plain,
    spl32_85,
    inference(avatar_split_clause,[],[f193,f854]) ).

fof(f854,plain,
    ( spl32_85
  <=> n14 = sum(n11,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_85])]) ).

fof(f193,plain,
    n14 = sum(n11,n3),
    inference(cnf_transformation,[],[f5]) ).

fof(f852,plain,
    spl32_84,
    inference(avatar_split_clause,[],[f395,f849]) ).

fof(f849,plain,
    ( spl32_84
  <=> n12 = sum(n15,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_84])]) ).

fof(f395,plain,
    n12 = sum(n15,n13),
    inference(cnf_transformation,[],[f5]) ).

fof(f847,plain,
    spl32_83,
    inference(avatar_split_clause,[],[f202,f844]) ).

fof(f844,plain,
    ( spl32_83
  <=> n14 = sum(n12,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_83])]) ).

fof(f202,plain,
    n14 = sum(n12,n2),
    inference(cnf_transformation,[],[f5]) ).

fof(f842,plain,
    spl32_82,
    inference(avatar_split_clause,[],[f95,f839]) ).

fof(f839,plain,
    ( spl32_82
  <=> n10 = sum(n2,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_82])]) ).

fof(f95,plain,
    n10 = sum(n2,n8),
    inference(cnf_transformation,[],[f5]) ).

fof(f837,plain,
    spl32_81,
    inference(avatar_split_clause,[],[f352,f834]) ).

fof(f834,plain,
    ( spl32_81
  <=> n8 = sum(n1,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_81])]) ).

fof(f352,plain,
    n8 = sum(n1,n7),
    inference(cnf_transformation,[],[f5]) ).

fof(f832,plain,
    spl32_80,
    inference(avatar_split_clause,[],[f209,f829]) ).

fof(f829,plain,
    ( spl32_80
  <=> n13 = sum(n8,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_80])]) ).

fof(f209,plain,
    n13 = sum(n8,n5),
    inference(cnf_transformation,[],[f5]) ).

fof(f827,plain,
    spl32_79,
    inference(avatar_split_clause,[],[f427,f824]) ).

fof(f824,plain,
    ( spl32_79
  <=> n7 = sum(n6,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_79])]) ).

fof(f427,plain,
    n7 = sum(n6,n1),
    inference(cnf_transformation,[],[f5]) ).

fof(f822,plain,
    spl32_78,
    inference(avatar_split_clause,[],[f383,f819]) ).

fof(f819,plain,
    ( spl32_78
  <=> n7 = sum(n13,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_78])]) ).

fof(f383,plain,
    n7 = sum(n13,n10),
    inference(cnf_transformation,[],[f5]) ).

fof(f817,plain,
    spl32_77,
    inference(avatar_split_clause,[],[f152,f814]) ).

fof(f814,plain,
    ( spl32_77
  <=> n7 = sum(n5,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_77])]) ).

fof(f152,plain,
    n7 = sum(n5,n2),
    inference(cnf_transformation,[],[f5]) ).

fof(f812,plain,
    spl32_76,
    inference(avatar_split_clause,[],[f123,f809]) ).

fof(f809,plain,
    ( spl32_76
  <=> n10 = sum(n12,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_76])]) ).

fof(f123,plain,
    n10 = sum(n12,n14),
    inference(cnf_transformation,[],[f5]) ).

fof(f807,plain,
    spl32_75,
    inference(avatar_split_clause,[],[f283,f804]) ).

fof(f804,plain,
    ( spl32_75
  <=> n10 = sum(n4,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_75])]) ).

fof(f283,plain,
    n10 = sum(n4,n6),
    inference(cnf_transformation,[],[f5]) ).

fof(f802,plain,
    ~ spl32_74,
    inference(avatar_split_clause,[],[f135,f799]) ).

fof(f799,plain,
    ( spl32_74
  <=> n11 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_74])]) ).

fof(f135,plain,
    n11 != n13,
    inference(cnf_transformation,[],[f5]) ).

fof(f797,plain,
    spl32_73,
    inference(avatar_split_clause,[],[f189,f794]) ).

fof(f794,plain,
    ( spl32_73
  <=> n2 = sum(n3,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_73])]) ).

fof(f189,plain,
    n2 = sum(n3,n15),
    inference(cnf_transformation,[],[f5]) ).

fof(f792,plain,
    spl32_72,
    inference(avatar_split_clause,[],[f7,f789]) ).

fof(f789,plain,
    ( spl32_72
  <=> n7 = sum(n15,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_72])]) ).

fof(f7,plain,
    n7 = sum(n15,n8),
    inference(cnf_transformation,[],[f5]) ).

fof(f787,plain,
    spl32_71,
    inference(avatar_split_clause,[],[f441,f784]) ).

fof(f784,plain,
    ( spl32_71
  <=> n5 = pred(n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_71])]) ).

fof(f441,plain,
    n5 = pred(n6),
    inference(cnf_transformation,[],[f5]) ).

fof(f782,plain,
    ~ spl32_70,
    inference(avatar_split_clause,[],[f231,f779]) ).

fof(f779,plain,
    ( spl32_70
  <=> n4 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_70])]) ).

fof(f231,plain,
    n4 != n15,
    inference(cnf_transformation,[],[f5]) ).

fof(f777,plain,
    spl32_69,
    inference(avatar_split_clause,[],[f89,f774]) ).

fof(f774,plain,
    ( spl32_69
  <=> succ(n13) = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_69])]) ).

fof(f89,plain,
    succ(n13) = n14,
    inference(cnf_transformation,[],[f5]) ).

fof(f772,plain,
    spl32_68,
    inference(avatar_split_clause,[],[f92,f769]) ).

fof(f769,plain,
    ( spl32_68
  <=> n7 = sum(n9,n14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_68])]) ).

fof(f92,plain,
    n7 = sum(n9,n14),
    inference(cnf_transformation,[],[f5]) ).

fof(f767,plain,
    spl32_67,
    inference(avatar_split_clause,[],[f351,f764]) ).

fof(f764,plain,
    ( spl32_67
  <=> sK2 = sum(sum(pred(sK8),succ(sK8)),sum(pred(sK11),succ(sK11))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_67])]) ).

fof(f351,plain,
    sK2 = sum(sum(pred(sK8),succ(sK8)),sum(pred(sK11),succ(sK11))),
    inference(cnf_transformation,[],[f5]) ).

fof(f762,plain,
    spl32_66,
    inference(avatar_split_clause,[],[f343,f759]) ).

fof(f759,plain,
    ( spl32_66
  <=> n0 = sum(n10,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_66])]) ).

fof(f343,plain,
    n0 = sum(n10,n6),
    inference(cnf_transformation,[],[f5]) ).

fof(f757,plain,
    spl32_65,
    inference(avatar_split_clause,[],[f83,f754]) ).

fof(f754,plain,
    ( spl32_65
  <=> n6 = sum(n10,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_65])]) ).

fof(f83,plain,
    n6 = sum(n10,n12),
    inference(cnf_transformation,[],[f5]) ).

fof(f752,plain,
    ~ spl32_64,
    inference(avatar_split_clause,[],[f387,f749]) ).

fof(f749,plain,
    ( spl32_64
  <=> n1 = n5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_64])]) ).

fof(f387,plain,
    n1 != n5,
    inference(cnf_transformation,[],[f5]) ).

fof(f747,plain,
    spl32_63,
    inference(avatar_split_clause,[],[f71,f744]) ).

fof(f744,plain,
    ( spl32_63
  <=> succ(n6) = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_63])]) ).

fof(f71,plain,
    succ(n6) = n7,
    inference(cnf_transformation,[],[f5]) ).

fof(f742,plain,
    spl32_62,
    inference(avatar_split_clause,[],[f275,f739]) ).

fof(f739,plain,
    ( spl32_62
  <=> n7 = sum(n1,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_62])]) ).

fof(f275,plain,
    n7 = sum(n1,n6),
    inference(cnf_transformation,[],[f5]) ).

fof(f737,plain,
    spl32_61,
    inference(avatar_split_clause,[],[f62,f734]) ).

fof(f734,plain,
    ( spl32_61
  <=> succ(n5) = n6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_61])]) ).

fof(f62,plain,
    succ(n5) = n6,
    inference(cnf_transformation,[],[f5]) ).

fof(f732,plain,
    ~ spl32_60,
    inference(avatar_split_clause,[],[f286,f729]) ).

fof(f729,plain,
    ( spl32_60
  <=> n11 = n14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_60])]) ).

fof(f286,plain,
    n11 != n14,
    inference(cnf_transformation,[],[f5]) ).

fof(f727,plain,
    spl32_59,
    inference(avatar_split_clause,[],[f308,f724]) ).

fof(f724,plain,
    ( spl32_59
  <=> n13 = sum(n7,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_59])]) ).

fof(f308,plain,
    n13 = sum(n7,n6),
    inference(cnf_transformation,[],[f5]) ).

fof(f722,plain,
    spl32_58,
    inference(avatar_split_clause,[],[f410,f719]) ).

fof(f719,plain,
    ( spl32_58
  <=> n7 = sum(n14,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_58])]) ).

fof(f410,plain,
    n7 = sum(n14,n9),
    inference(cnf_transformation,[],[f5]) ).

fof(f717,plain,
    spl32_57,
    inference(avatar_split_clause,[],[f376,f714]) ).

fof(f714,plain,
    ( spl32_57
  <=> sum(sum(pred(sK14),succ(sK7)),sum(pred(sK7),succ(sK14))) = sK24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_57])]) ).

fof(f376,plain,
    sum(sum(pred(sK14),succ(sK7)),sum(pred(sK7),succ(sK14))) = sK24,
    inference(cnf_transformation,[],[f5]) ).

fof(f712,plain,
    spl32_56,
    inference(avatar_split_clause,[],[f211,f709]) ).

fof(f709,plain,
    ( spl32_56
  <=> n14 = sum(n13,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_56])]) ).

fof(f211,plain,
    n14 = sum(n13,n1),
    inference(cnf_transformation,[],[f5]) ).

fof(f707,plain,
    spl32_55,
    inference(avatar_split_clause,[],[f369,f704]) ).

fof(f704,plain,
    ( spl32_55
  <=> n15 = sum(n15,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_55])]) ).

fof(f369,plain,
    n15 = sum(n15,n0),
    inference(cnf_transformation,[],[f5]) ).

fof(f702,plain,
    ~ spl32_54,
    inference(avatar_split_clause,[],[f195,f699]) ).

fof(f699,plain,
    ( spl32_54
  <=> n1 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_54])]) ).

fof(f195,plain,
    n1 != n15,
    inference(cnf_transformation,[],[f5]) ).

fof(f697,plain,
    spl32_53,
    inference(avatar_split_clause,[],[f414,f694]) ).

fof(f694,plain,
    ( spl32_53
  <=> n3 = sum(n15,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_53])]) ).

fof(f414,plain,
    n3 = sum(n15,n4),
    inference(cnf_transformation,[],[f5]) ).

fof(f692,plain,
    spl32_52,
    inference(avatar_split_clause,[],[f187,f689]) ).

fof(f689,plain,
    ( spl32_52
  <=> n6 = sum(n11,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_52])]) ).

fof(f187,plain,
    n6 = sum(n11,n11),
    inference(cnf_transformation,[],[f5]) ).

fof(f687,plain,
    spl32_51,
    inference(avatar_split_clause,[],[f257,f684]) ).

fof(f684,plain,
    ( spl32_51
  <=> n10 = sum(n14,n12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_51])]) ).

fof(f257,plain,
    n10 = sum(n14,n12),
    inference(cnf_transformation,[],[f5]) ).

fof(f682,plain,
    ~ spl32_50,
    inference(avatar_split_clause,[],[f19,f679]) ).

fof(f679,plain,
    ( spl32_50
  <=> n3 = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_50])]) ).

fof(f19,plain,
    n3 != n7,
    inference(cnf_transformation,[],[f5]) ).

fof(f677,plain,
    spl32_49,
    inference(avatar_split_clause,[],[f265,f674]) ).

fof(f674,plain,
    ( spl32_49
  <=> n6 = sum(n3,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_49])]) ).

fof(f265,plain,
    n6 = sum(n3,n3),
    inference(cnf_transformation,[],[f5]) ).

fof(f672,plain,
    spl32_48,
    inference(avatar_split_clause,[],[f406,f669]) ).

fof(f669,plain,
    ( spl32_48
  <=> n15 = sum(n5,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_48])]) ).

fof(f406,plain,
    n15 = sum(n5,n10),
    inference(cnf_transformation,[],[f5]) ).

fof(f667,plain,
    spl32_47,
    inference(avatar_split_clause,[],[f274,f664]) ).

fof(f664,plain,
    ( spl32_47
  <=> n9 = sum(n5,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_47])]) ).

fof(f274,plain,
    n9 = sum(n5,n4),
    inference(cnf_transformation,[],[f5]) ).

fof(f662,plain,
    ~ spl32_46,
    inference(avatar_split_clause,[],[f322,f659]) ).

fof(f659,plain,
    ( spl32_46
  <=> n9 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_46])]) ).

fof(f322,plain,
    n9 != n11,
    inference(cnf_transformation,[],[f5]) ).

fof(f657,plain,
    ~ spl32_45,
    inference(avatar_split_clause,[],[f181,f654]) ).

fof(f654,plain,
    ( spl32_45
  <=> n8 = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_45])]) ).

fof(f181,plain,
    n8 != n11,
    inference(cnf_transformation,[],[f5]) ).

fof(f652,plain,
    ~ spl32_44,
    inference(avatar_split_clause,[],[f39,f649]) ).

fof(f649,plain,
    ( spl32_44
  <=> n9 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_44])]) ).

fof(f39,plain,
    n9 != n12,
    inference(cnf_transformation,[],[f5]) ).

fof(f647,plain,
    spl32_43,
    inference(avatar_split_clause,[],[f318,f644]) ).

fof(f644,plain,
    ( spl32_43
  <=> n5 = sum(n13,n8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_43])]) ).

fof(f318,plain,
    n5 = sum(n13,n8),
    inference(cnf_transformation,[],[f5]) ).

fof(f642,plain,
    spl32_42,
    inference(avatar_split_clause,[],[f361,f639]) ).

fof(f639,plain,
    ( spl32_42
  <=> n6 = sum(n15,n7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_42])]) ).

fof(f361,plain,
    n6 = sum(n15,n7),
    inference(cnf_transformation,[],[f5]) ).

fof(f637,plain,
    spl32_41,
    inference(avatar_split_clause,[],[f208,f634]) ).

fof(f634,plain,
    ( spl32_41
  <=> n9 = sum(n12,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_41])]) ).

fof(f208,plain,
    n9 = sum(n12,n13),
    inference(cnf_transformation,[],[f5]) ).

fof(f632,plain,
    ( ~ spl32_26
    | ~ spl32_27
    | ~ spl32_28
    | ~ spl32_29
    | ~ spl32_30
    | ~ spl32_31
    | ~ spl32_32
    | ~ spl32_33
    | ~ spl32_34
    | ~ spl32_35
    | ~ spl32_36
    | ~ spl32_37
    | ~ spl32_38
    | ~ spl32_39
    | ~ spl32_40 ),
    inference(avatar_split_clause,[],[f17,f629,f625,f621,f617,f613,f609,f605,f601,f597,f593,f589,f585,f581,f577,f573]) ).

fof(f573,plain,
    ( spl32_26
  <=> sK9 = sK3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_26])]) ).

fof(f577,plain,
    ( spl32_27
  <=> sK0 = sK21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_27])]) ).

fof(f581,plain,
    ( spl32_28
  <=> sK5 = sK13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_28])]) ).

fof(f585,plain,
    ( spl32_29
  <=> sK17 = sK4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_29])]) ).

fof(f589,plain,
    ( spl32_30
  <=> sK26 = sK22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_30])]) ).

fof(f593,plain,
    ( spl32_31
  <=> sK18 = sK10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_31])]) ).

fof(f597,plain,
    ( spl32_32
  <=> sK29 = sK25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_32])]) ).

fof(f601,plain,
    ( spl32_33
  <=> sK1 = sK30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_33])]) ).

fof(f605,plain,
    ( spl32_34
  <=> sK15 = sK24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_34])]) ).

fof(f609,plain,
    ( spl32_35
  <=> sK31 = sK27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_35])]) ).

fof(f613,plain,
    ( spl32_36
  <=> sK2 = sK16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_36])]) ).

fof(f617,plain,
    ( spl32_37
  <=> sK8 = sK11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_37])]) ).

fof(f621,plain,
    ( spl32_38
  <=> sK20 = sK6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_38])]) ).

fof(f625,plain,
    ( spl32_39
  <=> sK28 = sK23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_39])]) ).

fof(f629,plain,
    ( spl32_40
  <=> sK12 = sK19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_40])]) ).

fof(f17,plain,
    ( sK12 != sK19
    | sK28 != sK23
    | sK20 != sK6
    | sK8 != sK11
    | sK2 != sK16
    | sK31 != sK27
    | sK15 != sK24
    | sK1 != sK30
    | sK29 != sK25
    | sK18 != sK10
    | sK26 != sK22
    | sK17 != sK4
    | sK5 != sK13
    | sK0 != sK21
    | sK9 != sK3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f571,plain,
    spl32_25,
    inference(avatar_split_clause,[],[f248,f568]) ).

fof(f568,plain,
    ( spl32_25
  <=> n2 = sum(n12,n6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_25])]) ).

fof(f248,plain,
    n2 = sum(n12,n6),
    inference(cnf_transformation,[],[f5]) ).

fof(f566,plain,
    spl32_24,
    inference(avatar_split_clause,[],[f34,f563]) ).

fof(f563,plain,
    ( spl32_24
  <=> succ(n10) = n11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_24])]) ).

fof(f34,plain,
    succ(n10) = n11,
    inference(cnf_transformation,[],[f5]) ).

fof(f561,plain,
    ~ spl32_23,
    inference(avatar_split_clause,[],[f316,f558]) ).

fof(f558,plain,
    ( spl32_23
  <=> n4 = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_23])]) ).

fof(f316,plain,
    n4 != n7,
    inference(cnf_transformation,[],[f5]) ).

fof(f556,plain,
    ~ spl32_22,
    inference(avatar_split_clause,[],[f393,f553]) ).

fof(f553,plain,
    ( spl32_22
  <=> n3 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_22])]) ).

fof(f393,plain,
    n3 != n15,
    inference(cnf_transformation,[],[f5]) ).

fof(f551,plain,
    spl32_21,
    inference(avatar_split_clause,[],[f25,f548]) ).

fof(f548,plain,
    ( spl32_21
  <=> n13 = sum(n2,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_21])]) ).

fof(f25,plain,
    n13 = sum(n2,n11),
    inference(cnf_transformation,[],[f5]) ).

fof(f546,plain,
    ~ spl32_20,
    inference(avatar_split_clause,[],[f346,f543]) ).

fof(f543,plain,
    ( spl32_20
  <=> n2 = n12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_20])]) ).

fof(f346,plain,
    n2 != n12,
    inference(cnf_transformation,[],[f5]) ).

fof(f541,plain,
    spl32_19,
    inference(avatar_split_clause,[],[f373,f538]) ).

fof(f538,plain,
    ( spl32_19
  <=> n11 = sum(n12,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_19])]) ).

fof(f373,plain,
    n11 = sum(n12,n15),
    inference(cnf_transformation,[],[f5]) ).

fof(f536,plain,
    spl32_18,
    inference(avatar_split_clause,[],[f145,f533]) ).

fof(f533,plain,
    ( spl32_18
  <=> n14 = pred(n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_18])]) ).

fof(f145,plain,
    n14 = pred(n15),
    inference(cnf_transformation,[],[f5]) ).

fof(f531,plain,
    spl32_17,
    inference(avatar_split_clause,[],[f405,f528]) ).

fof(f528,plain,
    ( spl32_17
  <=> n10 = sum(n8,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_17])]) ).

fof(f405,plain,
    n10 = sum(n8,n2),
    inference(cnf_transformation,[],[f5]) ).

fof(f526,plain,
    ~ spl32_16,
    inference(avatar_split_clause,[],[f133,f523]) ).

fof(f523,plain,
    ( spl32_16
  <=> n9 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_16])]) ).

fof(f133,plain,
    n9 != n15,
    inference(cnf_transformation,[],[f5]) ).

fof(f521,plain,
    spl32_15,
    inference(avatar_split_clause,[],[f122,f518]) ).

fof(f518,plain,
    ( spl32_15
  <=> n11 = sum(n11,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_15])]) ).

fof(f122,plain,
    n11 = sum(n11,n0),
    inference(cnf_transformation,[],[f5]) ).

fof(f516,plain,
    spl32_14,
    inference(avatar_split_clause,[],[f429,f513]) ).

fof(f513,plain,
    ( spl32_14
  <=> n15 = pred(n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_14])]) ).

fof(f429,plain,
    n15 = pred(n0),
    inference(cnf_transformation,[],[f5]) ).

fof(f511,plain,
    spl32_13,
    inference(avatar_split_clause,[],[f117,f508]) ).

fof(f508,plain,
    ( spl32_13
  <=> succ(n14) = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_13])]) ).

fof(f117,plain,
    succ(n14) = n15,
    inference(cnf_transformation,[],[f5]) ).

fof(f506,plain,
    spl32_12,
    inference(avatar_split_clause,[],[f241,f503]) ).

fof(f503,plain,
    ( spl32_12
  <=> n10 = sum(n10,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_12])]) ).

fof(f241,plain,
    n10 = sum(n10,n0),
    inference(cnf_transformation,[],[f5]) ).

fof(f501,plain,
    spl32_11,
    inference(avatar_split_clause,[],[f59,f498]) ).

fof(f498,plain,
    ( spl32_11
  <=> n8 = sum(n9,n15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_11])]) ).

fof(f59,plain,
    n8 = sum(n9,n15),
    inference(cnf_transformation,[],[f5]) ).

fof(f496,plain,
    spl32_10,
    inference(avatar_split_clause,[],[f45,f493]) ).

fof(f493,plain,
    ( spl32_10
  <=> n11 = sum(n1,n10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_10])]) ).

fof(f45,plain,
    n11 = sum(n1,n10),
    inference(cnf_transformation,[],[f5]) ).

fof(f491,plain,
    ~ spl32_9,
    inference(avatar_split_clause,[],[f158,f488]) ).

fof(f488,plain,
    ( spl32_9
  <=> n14 = n15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_9])]) ).

fof(f158,plain,
    n14 != n15,
    inference(cnf_transformation,[],[f5]) ).

fof(f486,plain,
    spl32_8,
    inference(avatar_split_clause,[],[f334,f483]) ).

fof(f483,plain,
    ( spl32_8
  <=> sum(sum(pred(sK17),succ(sK17)),sum(pred(sK4),succ(sK4))) = sK22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_8])]) ).

fof(f334,plain,
    sum(sum(pred(sK17),succ(sK17)),sum(pred(sK4),succ(sK4))) = sK22,
    inference(cnf_transformation,[],[f5]) ).

fof(f481,plain,
    ~ spl32_7,
    inference(avatar_split_clause,[],[f440,f478]) ).

fof(f478,plain,
    ( spl32_7
  <=> n5 = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_7])]) ).

fof(f440,plain,
    n5 != n7,
    inference(cnf_transformation,[],[f5]) ).

fof(f476,plain,
    spl32_6,
    inference(avatar_split_clause,[],[f433,f473]) ).

fof(f473,plain,
    ( spl32_6
  <=> n1 = sum(n4,n13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_6])]) ).

fof(f433,plain,
    n1 = sum(n4,n13),
    inference(cnf_transformation,[],[f5]) ).

fof(f471,plain,
    spl32_5,
    inference(avatar_split_clause,[],[f76,f468]) ).

fof(f468,plain,
    ( spl32_5
  <=> n5 = sum(n10,n11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_5])]) ).

fof(f76,plain,
    n5 = sum(n10,n11),
    inference(cnf_transformation,[],[f5]) ).

fof(f466,plain,
    ~ spl32_4,
    inference(avatar_split_clause,[],[f401,f463]) ).

fof(f463,plain,
    ( spl32_4
  <=> n0 = n7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_4])]) ).

fof(f401,plain,
    n0 != n7,
    inference(cnf_transformation,[],[f5]) ).

fof(f461,plain,
    spl32_3,
    inference(avatar_split_clause,[],[f204,f458]) ).

fof(f458,plain,
    ( spl32_3
  <=> n10 = sum(n1,n9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_3])]) ).

fof(f204,plain,
    n10 = sum(n1,n9),
    inference(cnf_transformation,[],[f5]) ).

fof(f456,plain,
    ~ spl32_2,
    inference(avatar_split_clause,[],[f130,f453]) ).

fof(f453,plain,
    ( spl32_2
  <=> n10 = n13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_2])]) ).

fof(f130,plain,
    n10 != n13,
    inference(cnf_transformation,[],[f5]) ).

fof(f451,plain,
    spl32_1,
    inference(avatar_split_clause,[],[f44,f448]) ).

fof(f448,plain,
    ( spl32_1
  <=> succ(n4) = n5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_1])]) ).

fof(f44,plain,
    succ(n4) = n5,
    inference(cnf_transformation,[],[f5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : NUM377+1.015 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.36  % Computer : n004.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Aug 30 06:24:04 EDT 2022
% 0.14/0.36  % CPUTime    : 
% 0.21/0.54  % (10513)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.54  % (10532)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.54  % (10514)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.55  % (10522)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.55  % (10525)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.56  % (10523)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)
% 0.21/0.56  % (10518)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)
% 0.21/0.56  % (10536)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.21/0.56  % (10529)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.56  % (10537)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.56  % (10540)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)
% 0.21/0.56  % (10526)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.56  % (10541)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.57  % (10512)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.57  % (10534)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.57  % (10515)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.57  % (10533)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.21/0.57  % (10519)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.57  % (10511)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)
% 0.21/0.57  % (10517)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  % (10538)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.57  % (10527)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.21/0.58  % (10524)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.58  % (10521)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.58  % (10513)Instruction limit reached!
% 0.21/0.58  % (10513)------------------------------
% 0.21/0.58  % (10513)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58  % (10520)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.58  % (10520)Instruction limit reached!
% 0.21/0.58  % (10520)------------------------------
% 0.21/0.58  % (10520)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58  % (10520)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58  % (10520)Termination reason: Unknown
% 0.21/0.58  % (10520)Termination phase: Preprocessing 2
% 0.21/0.58  
% 0.21/0.58  % (10520)Memory used [KB]: 1023
% 0.21/0.58  % (10520)Time elapsed: 0.002 s
% 0.21/0.58  % (10520)Instructions burned: 2 (million)
% 0.21/0.58  % (10520)------------------------------
% 0.21/0.58  % (10520)------------------------------
% 0.21/0.58  % (10539)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.59  % (10535)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)
% 0.21/0.59  % (10542)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)
% 0.21/0.59  % (10513)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.59  % (10519)Instruction limit reached!
% 0.21/0.59  % (10519)------------------------------
% 0.21/0.59  % (10519)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.59  % (10513)Termination reason: Unknown
% 0.21/0.59  % (10513)Termination phase: Saturation
% 0.21/0.59  
% 0.21/0.59  % (10519)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.59  % (10519)Termination reason: Unknown
% 0.21/0.59  % (10519)Termination phase: Property scanning
% 0.21/0.59  
% 0.21/0.59  % (10513)Memory used [KB]: 1663
% 0.21/0.59  % (10513)Time elapsed: 0.143 s
% 0.21/0.59  % (10513)Instructions burned: 37 (million)
% 0.21/0.59  % (10519)Memory used [KB]: 1279
% 0.21/0.59  % (10513)------------------------------
% 0.21/0.59  % (10513)------------------------------
% 0.21/0.59  % (10519)Time elapsed: 0.007 s
% 0.21/0.59  % (10519)Instructions burned: 7 (million)
% 0.21/0.59  % (10519)------------------------------
% 0.21/0.59  % (10519)------------------------------
% 0.21/0.59  % (10530)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.59  % (10528)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.65/0.61  % (10522)Instruction limit reached!
% 1.65/0.61  % (10522)------------------------------
% 1.65/0.61  % (10522)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.61  % (10522)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.61  % (10522)Termination reason: Unknown
% 1.65/0.61  % (10522)Termination phase: Saturation
% 1.65/0.61  
% 1.65/0.61  % (10522)Memory used [KB]: 6396
% 1.65/0.61  % (10522)Time elapsed: 0.156 s
% 1.65/0.61  % (10522)Instructions burned: 50 (million)
% 1.65/0.61  % (10522)------------------------------
% 1.65/0.61  % (10522)------------------------------
% 1.91/0.63  % (10514)Instruction limit reached!
% 1.91/0.63  % (10514)------------------------------
% 1.91/0.63  % (10514)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.63  % (10514)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.63  % (10514)Termination reason: Unknown
% 1.91/0.63  % (10514)Termination phase: Saturation
% 1.91/0.63  
% 1.91/0.63  % (10514)Memory used [KB]: 6524
% 1.91/0.63  % (10514)Time elapsed: 0.175 s
% 1.91/0.63  % (10514)Instructions burned: 52 (million)
% 1.91/0.63  % (10514)------------------------------
% 1.91/0.63  % (10514)------------------------------
% 1.91/0.64  % (10518)Instruction limit reached!
% 1.91/0.64  % (10518)------------------------------
% 1.91/0.64  % (10518)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.64  % (10518)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.64  % (10518)Termination reason: Unknown
% 1.91/0.64  % (10518)Termination phase: Finite model building preprocessing
% 1.91/0.64  
% 1.91/0.64  % (10518)Memory used [KB]: 7419
% 1.91/0.64  % (10518)Time elapsed: 0.022 s
% 1.91/0.64  % (10518)Instructions burned: 53 (million)
% 1.91/0.64  % (10518)------------------------------
% 1.91/0.64  % (10518)------------------------------
% 2.01/0.64  % (10529)Instruction limit reached!
% 2.01/0.64  % (10529)------------------------------
% 2.01/0.64  % (10529)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.64  % (10529)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.64  % (10529)Termination reason: Unknown
% 2.01/0.64  % (10529)Termination phase: Finite model building preprocessing
% 2.01/0.64  
% 2.01/0.64  % (10529)Memory used [KB]: 7547
% 2.01/0.64  % (10529)Time elapsed: 0.032 s
% 2.01/0.64  % (10529)Instructions burned: 59 (million)
% 2.01/0.64  % (10529)------------------------------
% 2.01/0.64  % (10529)------------------------------
% 2.01/0.65  % (10532)Instruction limit reached!
% 2.01/0.65  % (10532)------------------------------
% 2.01/0.65  % (10532)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.65  % (10532)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.65  % (10532)Termination reason: Unknown
% 2.01/0.65  % (10532)Termination phase: Saturation
% 2.01/0.65  
% 2.01/0.65  % (10532)Memory used [KB]: 1791
% 2.01/0.65  % (10532)Time elapsed: 0.210 s
% 2.01/0.65  % (10532)Instructions burned: 102 (million)
% 2.01/0.65  % (10532)------------------------------
% 2.01/0.65  % (10532)------------------------------
% 2.01/0.66  % (10512)Instruction limit reached!
% 2.01/0.66  % (10512)------------------------------
% 2.01/0.66  % (10512)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.66  % (10512)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.66  % (10512)Termination reason: Unknown
% 2.01/0.66  % (10512)Termination phase: Saturation
% 2.01/0.66  
% 2.01/0.66  % (10512)Memory used [KB]: 6396
% 2.01/0.66  % (10512)Time elapsed: 0.037 s
% 2.01/0.66  % (10512)Instructions burned: 51 (million)
% 2.01/0.66  % (10512)------------------------------
% 2.01/0.66  % (10512)------------------------------
% 2.01/0.66  % (10517)Instruction limit reached!
% 2.01/0.66  % (10517)------------------------------
% 2.01/0.66  % (10517)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.66  % (10517)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.66  % (10517)Termination reason: Unknown
% 2.01/0.66  % (10517)Termination phase: Saturation
% 2.01/0.66  
% 2.01/0.66  % (10517)Memory used [KB]: 6524
% 2.01/0.66  % (10517)Time elapsed: 0.206 s
% 2.01/0.66  % (10517)Instructions burned: 49 (million)
% 2.01/0.66  % (10517)------------------------------
% 2.01/0.66  % (10517)------------------------------
% 2.01/0.66  % (10515)Instruction limit reached!
% 2.01/0.66  % (10515)------------------------------
% 2.01/0.66  % (10515)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.66  % (10515)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.66  % (10515)Termination reason: Unknown
% 2.01/0.66  % (10515)Termination phase: Saturation
% 2.01/0.66  
% 2.01/0.66  % (10515)Memory used [KB]: 6396
% 2.01/0.66  % (10515)Time elapsed: 0.026 s
% 2.01/0.66  % (10515)Instructions burned: 52 (million)
% 2.01/0.66  % (10515)------------------------------
% 2.01/0.66  % (10515)------------------------------
% 2.01/0.66  % (10521)Instruction limit reached!
% 2.01/0.66  % (10521)------------------------------
% 2.01/0.66  % (10521)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.66  % (10521)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.66  % (10521)Termination reason: Unknown
% 2.01/0.66  % (10521)Termination phase: Saturation
% 2.01/0.66  
% 2.01/0.66  % (10521)Memory used [KB]: 1791
% 2.01/0.66  % (10521)Time elapsed: 0.201 s
% 2.01/0.66  % (10521)Instructions burned: 52 (million)
% 2.01/0.66  % (10521)------------------------------
% 2.01/0.66  % (10521)------------------------------
% 2.01/0.67  % (10526)Instruction limit reached!
% 2.01/0.67  % (10526)------------------------------
% 2.01/0.67  % (10526)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.67  % (10526)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.67  % (10526)Termination reason: Unknown
% 2.01/0.67  % (10526)Termination phase: Saturation
% 2.01/0.67  
% 2.01/0.67  % (10526)Memory used [KB]: 7164
% 2.01/0.67  % (10526)Time elapsed: 0.035 s
% 2.01/0.67  % (10526)Instructions burned: 68 (million)
% 2.01/0.67  % (10526)------------------------------
% 2.01/0.67  % (10526)------------------------------
% 2.01/0.67  % (10527)Instruction limit reached!
% 2.01/0.67  % (10527)------------------------------
% 2.01/0.67  % (10527)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.67  % (10527)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.67  % (10527)Termination reason: Unknown
% 2.01/0.67  % (10527)Termination phase: Saturation
% 2.01/0.67  
% 2.01/0.67  % (10527)Memory used [KB]: 1918
% 2.01/0.67  % (10527)Time elapsed: 0.230 s
% 2.01/0.67  % (10527)Instructions burned: 75 (million)
% 2.01/0.67  % (10527)------------------------------
% 2.01/0.67  % (10527)------------------------------
% 2.01/0.67  % (10641)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)
% 2.01/0.68  % (10539)Instruction limit reached!
% 2.01/0.68  % (10539)------------------------------
% 2.01/0.68  % (10539)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.68  % (10539)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.68  % (10539)Termination reason: Unknown
% 2.01/0.68  % (10539)Termination phase: Saturation
% 2.01/0.68  
% 2.01/0.68  % (10539)Memory used [KB]: 7164
% 2.01/0.68  % (10539)Time elapsed: 0.043 s
% 2.01/0.68  % (10539)Instructions burned: 70 (million)
% 2.01/0.68  % (10539)------------------------------
% 2.01/0.68  % (10539)------------------------------
% 2.01/0.68  TRYING [16]
% 2.01/0.69  % (10645)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.42/0.72  % (10523)Instruction limit reached!
% 2.42/0.72  % (10523)------------------------------
% 2.42/0.72  % (10523)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.72  % (10523)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.72  % (10523)Termination reason: Unknown
% 2.42/0.72  % (10523)Termination phase: Saturation
% 2.42/0.72  
% 2.42/0.72  % (10523)Memory used [KB]: 7164
% 2.42/0.72  % (10523)Time elapsed: 0.284 s
% 2.42/0.72  % (10523)Instructions burned: 102 (million)
% 2.42/0.72  % (10523)------------------------------
% 2.42/0.72  % (10523)------------------------------
% 2.42/0.72  % (10525)Instruction limit reached!
% 2.42/0.72  % (10525)------------------------------
% 2.42/0.72  % (10525)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.73  % (10525)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.73  % (10525)Termination reason: Unknown
% 2.42/0.73  % (10525)Termination phase: Saturation
% 2.42/0.73  
% 2.42/0.73  % (10525)Memory used [KB]: 7036
% 2.42/0.73  % (10525)Time elapsed: 0.280 s
% 2.42/0.73  % (10525)Instructions burned: 99 (million)
% 2.42/0.73  % (10525)------------------------------
% 2.42/0.73  % (10525)------------------------------
% 2.42/0.73  % (10650)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.42/0.74  % (10651)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.42/0.74  % (10524)Instruction limit reached!
% 2.42/0.74  % (10524)------------------------------
% 2.42/0.74  % (10524)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.74  % (10530)Instruction limit reached!
% 2.42/0.74  % (10530)------------------------------
% 2.42/0.74  % (10530)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.74  % (10530)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.74  % (10530)Termination reason: Unknown
% 2.42/0.74  % (10530)Termination phase: Saturation
% 2.42/0.74  
% 2.42/0.74  % (10530)Memory used [KB]: 6908
% 2.42/0.74  % (10530)Time elapsed: 0.051 s
% 2.42/0.74  % (10530)Instructions burned: 101 (million)
% 2.42/0.74  % (10530)------------------------------
% 2.42/0.74  % (10530)------------------------------
% 2.42/0.74  % (10524)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.74  % (10524)Termination reason: Unknown
% 2.42/0.74  % (10524)Termination phase: Saturation
% 2.42/0.74  
% 2.42/0.74  % (10524)Memory used [KB]: 7164
% 2.42/0.74  % (10524)Time elapsed: 0.310 s
% 2.42/0.74  % (10524)Instructions burned: 101 (million)
% 2.42/0.74  % (10524)------------------------------
% 2.42/0.74  % (10524)------------------------------
% 2.42/0.76  % (10668)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.65/0.77  % (10652)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.65/0.77  % (10528)Instruction limit reached!
% 2.65/0.77  % (10528)------------------------------
% 2.65/0.77  % (10528)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.65/0.77  % (10528)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.65/0.77  % (10528)Termination reason: Unknown
% 2.65/0.77  % (10528)Termination phase: Saturation
% 2.65/0.77  
% 2.65/0.77  % (10528)Memory used [KB]: 6780
% 2.65/0.77  % (10528)Time elapsed: 0.308 s
% 2.65/0.77  % (10528)Instructions burned: 100 (million)
% 2.65/0.77  % (10528)------------------------------
% 2.65/0.77  % (10528)------------------------------
% 2.65/0.77  % (10669)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 (2997ds/2016Mi)
% 2.65/0.77  % (10654)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 (2997ds/747Mi)
% 2.65/0.77  % (10534)Instruction limit reached!
% 2.65/0.77  % (10534)------------------------------
% 2.65/0.77  % (10534)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.65/0.77  % (10534)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.65/0.77  % (10534)Termination reason: Unknown
% 2.65/0.77  % (10534)Termination phase: Saturation
% 2.65/0.77  
% 2.65/0.77  % (10534)Memory used [KB]: 6908
% 2.65/0.77  % (10534)Time elapsed: 0.067 s
% 2.65/0.77  % (10534)Instructions burned: 138 (million)
% 2.65/0.77  % (10534)------------------------------
% 2.65/0.77  % (10534)------------------------------
% 2.65/0.77  % (10657)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 (2997ds/655Mi)
% 2.65/0.78  % (10664)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 (2997ds/68Mi)
% 2.65/0.78  WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.65/0.78  % (10674)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/3735Mi)
% 2.65/0.79  % (10667)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 (2997ds/981Mi)
% 2.65/0.80  % (10675)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 (2997ds/4958Mi)
% 2.65/0.80  % (10665)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 (2997ds/940Mi)
% 2.65/0.81  % (10676)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/4959Mi)
% 2.65/0.84  % (10540)Instruction limit reached!
% 2.65/0.84  % (10540)------------------------------
% 2.65/0.84  % (10540)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.65/0.84  % (10540)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.65/0.84  % (10540)Termination reason: Unknown
% 2.65/0.84  % (10540)Termination phase: Saturation
% 2.65/0.84  
% 2.65/0.84  % (10540)Memory used [KB]: 2046
% 2.65/0.84  % (10540)Time elapsed: 0.359 s
% 2.65/0.84  % (10540)Instructions burned: 179 (million)
% 2.65/0.84  % (10540)------------------------------
% 2.65/0.84  % (10540)------------------------------
% 2.89/0.86  % (10691)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 2.89/0.86  % (10694)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 (2996ds/4931Mi)
% 2.89/0.86  % (10664)Instruction limit reached!
% 2.89/0.86  % (10664)------------------------------
% 2.89/0.86  % (10664)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.89/0.87  % (10533)Instruction limit reached!
% 2.89/0.87  % (10533)------------------------------
% 2.89/0.87  % (10533)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.89/0.87  % (10533)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.89/0.87  % (10533)Termination reason: Unknown
% 2.89/0.87  % (10533)Termination phase: Saturation
% 2.89/0.87  
% 2.89/0.87  % (10533)Memory used [KB]: 7419
% 2.89/0.87  % (10533)Time elapsed: 0.087 s
% 2.89/0.87  % (10533)Instructions burned: 176 (million)
% 2.89/0.87  % (10533)------------------------------
% 2.89/0.87  % (10533)------------------------------
% 2.89/0.87  % (10664)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.89/0.87  % (10664)Termination reason: Unknown
% 2.89/0.87  % (10664)Termination phase: Saturation
% 2.89/0.87  
% 2.89/0.87  % (10664)Memory used [KB]: 7164
% 2.89/0.87  % (10664)Time elapsed: 0.030 s
% 2.89/0.87  % (10664)Instructions burned: 68 (million)
% 2.89/0.87  % (10664)------------------------------
% 2.89/0.87  % (10664)------------------------------
% 2.89/0.87  % (10700)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 (2996ds/1824Mi)
% 2.89/0.88  % (10699)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 3.02/0.89  % (10650)Instruction limit reached!
% 3.02/0.89  % (10650)------------------------------
% 3.02/0.89  % (10650)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.02/0.89  % (10668)Instruction limit reached!
% 3.02/0.89  % (10668)------------------------------
% 3.02/0.89  % (10668)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.02/0.89  % (10668)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.02/0.90  % (10668)Termination reason: Unknown
% 3.02/0.90  % (10668)Termination phase: Saturation
% 3.02/0.90  
% 3.02/0.90  % (10668)Memory used [KB]: 6780
% 3.02/0.90  % (10668)Time elapsed: 0.181 s
% 3.02/0.90  % (10668)Instructions burned: 92 (million)
% 3.02/0.90  % (10668)------------------------------
% 3.02/0.90  % (10668)------------------------------
% 3.02/0.90  % (10650)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.02/0.90  % (10650)Termination reason: Unknown
% 3.02/0.90  % (10650)Termination phase: Saturation
% 3.02/0.90  
% 3.02/0.90  % (10650)Memory used [KB]: 6908
% 3.02/0.90  % (10650)Time elapsed: 0.261 s
% 3.02/0.90  % (10650)Instructions burned: 90 (million)
% 3.02/0.90  % (10650)------------------------------
% 3.02/0.90  % (10650)------------------------------
% 3.02/0.90  % (10713)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 (2996ds/2134Mi)
% 3.02/0.90  % (10716)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2891Mi)
% 3.31/0.96  % (10645)Instruction limit reached!
% 3.31/0.96  % (10645)------------------------------
% 3.31/0.96  % (10645)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.31/0.96  % (10645)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.31/0.96  % (10645)Termination reason: Unknown
% 3.31/0.96  % (10645)Termination phase: Saturation
% 3.31/0.96  
% 3.31/0.96  % (10645)Memory used [KB]: 1918
% 3.31/0.96  % (10645)Time elapsed: 0.268 s
% 3.31/0.96  % (10645)Instructions burned: 212 (million)
% 3.31/0.96  % (10645)------------------------------
% 3.31/0.96  % (10645)------------------------------
% 3.31/0.98  % (10742)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4585Mi)
% 3.31/0.98  % (10743)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)
% 3.31/0.99  % (10699)Instruction limit reached!
% 3.31/0.99  % (10699)------------------------------
% 3.31/0.99  % (10699)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.31/0.99  % (10699)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.31/0.99  % (10699)Termination reason: Unknown
% 3.31/0.99  % (10699)Termination phase: Saturation
% 3.31/0.99  
% 3.31/0.99  % (10699)Memory used [KB]: 7164
% 3.31/0.99  % (10699)Time elapsed: 0.032 s
% 3.31/0.99  % (10699)Instructions burned: 69 (million)
% 3.31/0.99  % (10699)------------------------------
% 3.31/0.99  % (10699)------------------------------
% 3.31/0.99  % (10745)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/8004Mi)
% 3.31/1.00  % (10744)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)
% 3.63/1.01  % (10746)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 (2994ds/9965Mi)
% 3.76/1.09  % (10747)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/9877Mi)
% 3.76/1.10  % (10743)Instruction limit reached!
% 3.76/1.10  % (10743)------------------------------
% 3.76/1.10  % (10743)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.76/1.10  % (10743)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.76/1.10  % (10743)Termination reason: Unknown
% 3.76/1.10  % (10743)Termination phase: Saturation
% 3.76/1.10  
% 3.76/1.10  % (10743)Memory used [KB]: 6780
% 3.76/1.10  % (10743)Time elapsed: 0.200 s
% 3.76/1.10  % (10743)Instructions burned: 90 (million)
% 3.76/1.10  % (10743)------------------------------
% 3.76/1.10  % (10743)------------------------------
% 3.76/1.12  % (10675)First to succeed.
% 3.76/1.12  % (10748)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=9902:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9902Mi)
% 3.76/1.14  % (10542)Instruction limit reached!
% 3.76/1.14  % (10542)------------------------------
% 3.76/1.14  % (10542)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.76/1.14  % (10542)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.76/1.14  % (10542)Termination reason: Unknown
% 3.76/1.14  % (10542)Termination phase: Saturation
% 3.76/1.14  
% 3.76/1.14  % (10542)Memory used [KB]: 9466
% 3.76/1.14  % (10542)Time elapsed: 0.168 s
% 3.76/1.14  % (10542)Instructions burned: 357 (million)
% 3.76/1.14  % (10542)------------------------------
% 3.76/1.14  % (10542)------------------------------
% 6.08/1.17  % (10700)Also succeeded, but the first one will report.
% 6.08/1.17  % (10675)Refutation found. Thanks to Tanya!
% 6.08/1.17  % SZS status Unsatisfiable for theBenchmark
% 6.08/1.17  % SZS output start Proof for theBenchmark
% See solution above
% 6.08/1.18  % (10675)------------------------------
% 6.08/1.18  % (10675)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.08/1.18  % (10675)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.08/1.18  % (10675)Termination reason: Refutation
% 6.08/1.18  
% 6.08/1.18  % (10675)Memory used [KB]: 2814
% 6.08/1.18  % (10675)Time elapsed: 0.106 s
% 6.08/1.18  % (10675)Instructions burned: 252 (million)
% 6.08/1.18  % (10675)------------------------------
% 6.08/1.18  % (10675)------------------------------
% 6.08/1.18  % (10502)Success in time 0.812 s
%------------------------------------------------------------------------------