TSTP Solution File: ALG098+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ALG098+1 : TPTP v8.1.0. Released v2.7.0.
% 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 : n020.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 15:42:36 EDT 2022

% Result   : Unsatisfiable 6.78s 1.35s
% Output   : Refutation 7.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :  481
% Syntax   : Number of formulae    : 1554 ( 241 unt;   0 def)
%            Number of atoms       : 5781 (3645 equ)
%            Maximal formula atoms :  250 (   3 avg)
%            Number of connectives : 6942 (2715   ~;3292   |; 580   &)
%                                         ( 355 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  101 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :  357 ( 355 usr; 356 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2619,plain,
    $false,
    inference(avatar_smt_refutation,[],[f743,f760,f777,f790,f795,f800,f805,f826,f847,f868,f873,f890,f895,f904,f909,f918,f923,f932,f937,f942,f959,f960,f965,f966,f967,f976,f985,f1006,f1011,f1028,f1045,f1054,f1075,f1076,f1097,f1114,f1123,f1132,f1145,f1150,f1155,f1160,f1165,f1186,f1187,f1204,f1217,f1222,f1227,f1244,f1249,f1258,f1279,f1284,f1289,f1310,f1315,f1332,f1337,f1346,f1347,f1352,f1357,f1366,f1371,f1372,f1381,f1390,f1391,f1400,f1405,f1406,f1427,f1428,f1433,f1438,f1443,f1452,f1465,f1470,f1475,f1476,f1481,f1486,f1487,f1500,f1501,f1506,f1507,f1516,f1521,f1526,f1535,f1540,f1541,f1542,f1555,f1560,f1561,f1562,f1567,f1568,f1573,f1578,f1587,f1588,f1589,f1602,f1615,f1620,f1621,f1622,f1627,f1628,f1629,f1630,f1635,f1640,f1641,f1642,f1655,f1656,f1661,f1666,f1671,f1676,f1677,f1682,f1687,f1688,f1697,f1698,f1699,f1700,f1701,f1702,f1703,f1720,f1721,f1722,f1727,f1732,f1737,f1742,f1759,f1760,f1761,f1766,f1767,f1768,f1773,f1774,f1779,f1780,f1781,f1782,f1791,f1800,f1801,f1802,f1811,f1812,f1813,f1814,f1815,f1828,f1833,f1834,f1843,f1844,f1849,f1854,f1855,f1864,f1865,f1866,f1871,f1872,f1873,f1878,f1879,f1884,f1885,f1890,f1899,f1904,f1909,f1914,f1919,f1920,f1925,f1930,f1931,f1932,f1933,f1934,f1955,f1956,f1957,f1966,f1971,f1972,f1973,f1974,f1975,f1976,f1981,f1982,f1983,f1984,f1985,f1986,f1987,f1988,f1993,f1994,f1995,f1996,f2005,f2006,f2007,f2008,f2009,f2014,f2019,f2032,f2041,f2046,f2047,f2048,f2053,f2062,f2063,f2064,f2065,f2070,f2071,f2072,f2073,f2078,f2083,f2084,f2085,f2086,f2091,f2092,f2097,f2098,f2099,f2100,f2101,f2102,f2103,f2104,f2105,f2106,f2111,f2112,f2113,f2118,f2119,f2120,f2125,f2130,f2131,f2132,f2133,f2134,f2135,f2140,f2145,f2146,f2147,f2148,f2149,f2150,f2155,f2156,f2157,f2158,f2163,f2164,f2165,f2166,f2171,f2172,f2173,f2174,f2179,f2180,f2181,f2182,f2187,f2188,f2189,f2190,f2191,f2196,f2197,f2198,f2199,f2200,f2205,f2206,f2207,f2212,f2213,f2218,f2223,f2224,f2229,f2234,f2235,f2240,f2245,f2250,f2255,f2256,f2261,f2262,f2263,f2264,f2269,f2270,f2275,f2276,f2277,f2282,f2283,f2284,f2289,f2290,f2295,f2300,f2301,f2302,f2303,f2304,f2309,f2310,f2315,f2316,f2317,f2318,f2319,f2324,f2325,f2330,f2335,f2336,f2337,f2342,f2347,f2348,f2353,f2354,f2355,f2356,f2357,f2362,f2363,f2364,f2365,f2366,f2367,f2372,f2373,f2374,f2375,f2376,f2381,f2382,f2383,f2384,f2389,f2390,f2391,f2392,f2393,f2394,f2399,f2400,f2405,f2406,f2407,f2408,f2409,f2410,f2411,f2416,f2421,f2422,f2423,f2424,f2425,f2426,f2427,f2428,f2429,f2434,f2435,f2440,f2445,f2446,f2447,f2448,f2449,f2454,f2455,f2460,f2461,f2462,f2463,f2464,f2465,f2466,f2467,f2472,f2473,f2478,f2479,f2480,f2481,f2482,f2483,f2488,f2489,f2490,f2495,f2496,f2497,f2498,f2499,f2504,f2505,f2506,f2511,f2512,f2513,f2518,f2519,f2520,f2525,f2526,f2527,f2528,f2529,f2534,f2539,f2540,f2541,f2546,f2551,f2552,f2553,f2554,f2555,f2556,f2577,f2582,f2587,f2592,f2593,f2594,f2599,f2600,f2601,f2602,f2603,f2604,f2605,f2606,f2607,f2612,f2617,f2618]) ).

fof(f2618,plain,
    ( spl0_89
    | spl0_63
    | ~ spl0_87
    | spl0_64
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f502,f995,f1003,f1103,f999,f1111]) ).

fof(f1111,plain,
    ( spl0_89
  <=> e1 = op(e2,op(e1,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f999,plain,
    ( spl0_63
  <=> e4 = op(e2,op(e4,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f1103,plain,
    ( spl0_87
  <=> e2 = op(e0,op(e0,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f1003,plain,
    ( spl0_64
  <=> e3 = op(e2,op(e3,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f995,plain,
    ( spl0_62
  <=> e2 = op(e2,op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f502,plain,
    ( e2 != op(e2,op(e2,e2))
    | e3 = op(e2,op(e3,e2))
    | e2 != op(e0,op(e0,e2))
    | e4 = op(e2,op(e4,e2))
    | e1 = op(e2,op(e1,e2)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ( ( ( e1 = op(e4,op(e1,e4))
        & e4 != op(e1,op(e1,e4)) )
      | ( e4 != op(e3,op(e3,e4))
        & e3 = op(e4,op(e3,e4)) )
      | ( e2 = op(e4,op(e2,e4))
        & e4 != op(e2,op(e2,e4)) )
      | ( e0 = op(e4,op(e0,e4))
        & e4 != op(e0,op(e0,e4)) )
      | ( e4 = op(e4,op(e4,e4))
        & e4 != op(e4,op(e4,e4)) ) )
    & ( ( e1 = op(e3,op(e1,e3))
        & e3 != op(e1,op(e1,e3)) )
      | ( e3 = op(e3,op(e3,e3))
        & e3 != op(e3,op(e3,e3)) )
      | ( e3 != op(e0,op(e0,e3))
        & e0 = op(e3,op(e0,e3)) )
      | ( e4 = op(e3,op(e4,e3))
        & e3 != op(e4,op(e4,e3)) )
      | ( e2 = op(e3,op(e2,e3))
        & e3 != op(e2,op(e2,e3)) ) )
    & ( ( e0 != op(e2,op(e2,e0))
        & e2 = op(e0,op(e2,e0)) )
      | ( e4 = op(e0,op(e4,e0))
        & e0 != op(e4,op(e4,e0)) )
      | ( e1 = op(e0,op(e1,e0))
        & e0 != op(e1,op(e1,e0)) )
      | ( e0 != op(e0,op(e0,e0))
        & e0 = op(e0,op(e0,e0)) )
      | ( e0 != op(e3,op(e3,e0))
        & e3 = op(e0,op(e3,e0)) ) )
    & ( ( e4 = op(e2,op(e4,e2))
        & e2 != op(e4,op(e4,e2)) )
      | ( e2 != op(e0,op(e0,e2))
        & e0 = op(e2,op(e0,e2)) )
      | ( e2 != op(e2,op(e2,e2))
        & e2 = op(e2,op(e2,e2)) )
      | ( e3 = op(e2,op(e3,e2))
        & e2 != op(e3,op(e3,e2)) )
      | ( e1 = op(e2,op(e1,e2))
        & e2 != op(e1,op(e1,e2)) ) )
    & ( ( e2 = op(e1,op(e2,e1))
        & e1 != op(e2,op(e2,e1)) )
      | ( e0 = op(e1,op(e0,e1))
        & e1 != op(e0,op(e0,e1)) )
      | ( e1 != op(e1,op(e1,e1))
        & e1 = op(e1,op(e1,e1)) )
      | ( e4 = op(e1,op(e4,e1))
        & e1 != op(e4,op(e4,e1)) )
      | ( e3 = op(e1,op(e3,e1))
        & e1 != op(e3,op(e3,e1)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).

fof(f2617,plain,
    ~ spl0_355,
    inference(avatar_split_clause,[],[f399,f2614]) ).

fof(f2614,plain,
    ( spl0_355
  <=> op(e3,e0) = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_355])]) ).

fof(f399,plain,
    op(e3,e0) != op(e3,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ( op(e3,e0) != op(e3,e3)
    & op(e0,e0) != op(e2,e0)
    & op(e4,e0) != op(e4,e3)
    & op(e1,e0) != op(e4,e0)
    & op(e1,e2) != op(e3,e2)
    & op(e3,e1) != op(e3,e2)
    & op(e2,e3) != op(e2,e4)
    & op(e4,e0) != op(e4,e1)
    & op(e1,e0) != op(e2,e0)
    & op(e4,e0) != op(e4,e2)
    & op(e3,e0) != op(e3,e4)
    & op(e2,e3) != op(e3,e3)
    & op(e0,e2) != op(e3,e2)
    & op(e3,e0) != op(e3,e2)
    & op(e0,e4) != op(e2,e4)
    & op(e1,e4) != op(e2,e4)
    & op(e2,e1) != op(e2,e4)
    & op(e2,e0) != op(e2,e4)
    & op(e4,e1) != op(e4,e4)
    & op(e0,e1) != op(e0,e2)
    & op(e1,e3) != op(e3,e3)
    & op(e2,e1) != op(e3,e1)
    & op(e0,e0) != op(e0,e2)
    & op(e1,e4) != op(e4,e4)
    & op(e1,e1) != op(e1,e4)
    & op(e3,e3) != op(e3,e4)
    & op(e0,e3) != op(e2,e3)
    & op(e2,e1) != op(e4,e1)
    & op(e1,e1) != op(e4,e1)
    & op(e0,e1) != op(e0,e4)
    & op(e2,e1) != op(e2,e2)
    & op(e3,e2) != op(e3,e4)
    & op(e3,e2) != op(e4,e2)
    & op(e3,e1) != op(e4,e1)
    & op(e1,e1) != op(e1,e3)
    & op(e0,e3) != op(e4,e3)
    & op(e1,e0) != op(e1,e4)
    & op(e1,e2) != op(e2,e2)
    & op(e2,e0) != op(e2,e1)
    & op(e1,e4) != op(e3,e4)
    & op(e1,e1) != op(e2,e1)
    & op(e0,e2) != op(e1,e2)
    & op(e0,e0) != op(e1,e0)
    & op(e2,e2) != op(e2,e4)
    & op(e0,e1) != op(e4,e1)
    & op(e2,e2) != op(e4,e2)
    & op(e4,e1) != op(e4,e2)
    & op(e3,e3) != op(e4,e3)
    & op(e0,e3) != op(e3,e3)
    & op(e0,e2) != op(e4,e2)
    & op(e4,e3) != op(e4,e4)
    & op(e0,e4) != op(e3,e4)
    & op(e2,e4) != op(e3,e4)
    & op(e1,e2) != op(e4,e2)
    & op(e2,e2) != op(e3,e2)
    & op(e1,e3) != op(e2,e3)
    & op(e3,e0) != op(e4,e0)
    & op(e1,e1) != op(e1,e2)
    & op(e0,e0) != op(e0,e1)
    & op(e2,e0) != op(e2,e2)
    & op(e2,e0) != op(e4,e0)
    & op(e4,e1) != op(e4,e3)
    & op(e0,e1) != op(e3,e1)
    & op(e3,e4) != op(e4,e4)
    & op(e0,e0) != op(e0,e4)
    & op(e0,e2) != op(e0,e3)
    & op(e1,e2) != op(e1,e3)
    & op(e0,e4) != op(e1,e4)
    & op(e2,e3) != op(e4,e3)
    & op(e0,e1) != op(e2,e1)
    & op(e2,e1) != op(e2,e3)
    & op(e2,e4) != op(e4,e4)
    & op(e4,e2) != op(e4,e4)
    & op(e0,e1) != op(e1,e1)
    & op(e3,e1) != op(e3,e4)
    & op(e1,e1) != op(e3,e1)
    & op(e2,e0) != op(e2,e3)
    & op(e3,e0) != op(e3,e1)
    & op(e0,e2) != op(e2,e2)
    & op(e0,e0) != op(e3,e0)
    & op(e1,e3) != op(e1,e4)
    & op(e0,e1) != op(e0,e3)
    & op(e1,e0) != op(e1,e2)
    & op(e1,e3) != op(e4,e3)
    & op(e2,e0) != op(e3,e0)
    & op(e1,e0) != op(e1,e1)
    & op(e0,e2) != op(e0,e4)
    & op(e4,e0) != op(e4,e4)
    & op(e3,e2) != op(e3,e3)
    & op(e1,e0) != op(e1,e3)
    & op(e3,e1) != op(e3,e3)
    & op(e0,e0) != op(e4,e0)
    & op(e0,e3) != op(e1,e3)
    & op(e0,e0) != op(e0,e3)
    & op(e2,e2) != op(e2,e3)
    & op(e0,e4) != op(e4,e4)
    & op(e1,e0) != op(e3,e0)
    & op(e4,e2) != op(e4,e3)
    & op(e1,e2) != op(e1,e4)
    & op(e0,e3) != op(e0,e4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).

fof(f2612,plain,
    ~ spl0_354,
    inference(avatar_split_clause,[],[f312,f2609]) ).

fof(f2609,plain,
    ( spl0_354
  <=> op(e4,e2) = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_354])]) ).

fof(f312,plain,
    op(e4,e2) != op(e4,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f2607,plain,
    ( spl0_277
    | spl0_260
    | spl0_243
    | spl0_93
    | spl0_272 ),
    inference(avatar_split_clause,[],[f651,f2034,f1129,f1868,f1959,f2059]) ).

fof(f2059,plain,
    ( spl0_277
  <=> e2 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_277])]) ).

fof(f1959,plain,
    ( spl0_260
  <=> e2 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_260])]) ).

fof(f1868,plain,
    ( spl0_243
  <=> e2 = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_243])]) ).

fof(f1129,plain,
    ( spl0_93
  <=> e2 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f2034,plain,
    ( spl0_272
  <=> e2 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_272])]) ).

fof(f651,plain,
    ( e2 = op(e1,e0)
    | e2 = op(e1,e1)
    | e2 = op(e1,e4)
    | e2 = op(e1,e2)
    | e2 = op(e1,e3) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ( ( e0 = op(e2,e2)
      | e0 = op(e2,e4)
      | e0 = op(e2,e0)
      | e0 = op(e2,e3)
      | e0 = op(e2,e1) )
    & ( e0 = op(e1,e3)
      | e0 = op(e1,e1)
      | e0 = op(e1,e4)
      | e0 = op(e1,e2)
      | e0 = op(e1,e0) )
    & ( e4 = op(e1,e1)
      | e4 = op(e0,e1)
      | e4 = op(e2,e1)
      | e4 = op(e4,e1)
      | e4 = op(e3,e1) )
    & ( e1 = op(e1,e4)
      | e1 = op(e1,e1)
      | e1 = op(e1,e0)
      | e1 = op(e1,e3)
      | e1 = op(e1,e2) )
    & ( e3 = op(e4,e3)
      | e3 = op(e4,e1)
      | e3 = op(e4,e0)
      | e3 = op(e4,e4)
      | e3 = op(e4,e2) )
    & ( e1 = op(e1,e0)
      | e1 = op(e3,e0)
      | op(e0,e0) = e1
      | e1 = op(e4,e0)
      | e1 = op(e2,e0) )
    & ( e1 = op(e3,e0)
      | e1 = op(e3,e2)
      | e1 = op(e3,e4)
      | e1 = op(e3,e3)
      | e1 = op(e3,e1) )
    & ( e0 = op(e4,e2)
      | e0 = op(e0,e2)
      | e0 = op(e2,e2)
      | e0 = op(e1,e2)
      | e0 = op(e3,e2) )
    & ( e4 = op(e0,e4)
      | e4 = op(e1,e4)
      | e4 = op(e2,e4)
      | e4 = op(e4,e4)
      | e4 = op(e3,e4) )
    & ( e1 = op(e2,e0)
      | e1 = op(e2,e4)
      | e1 = op(e2,e2)
      | e1 = op(e2,e3)
      | e1 = op(e2,e1) )
    & ( op(e0,e0) = e4
      | e4 = op(e0,e2)
      | e4 = op(e0,e1)
      | e4 = op(e0,e3)
      | e4 = op(e0,e4) )
    & ( e3 = op(e0,e1)
      | op(e0,e0) = e3
      | e3 = op(e0,e4)
      | e3 = op(e0,e3)
      | e3 = op(e0,e2) )
    & ( e3 = op(e2,e4)
      | e3 = op(e2,e2)
      | e3 = op(e2,e3)
      | e3 = op(e2,e1)
      | e3 = op(e2,e0) )
    & ( e4 = op(e1,e2)
      | e4 = op(e3,e2)
      | e4 = op(e0,e2)
      | e4 = op(e2,e2)
      | e4 = op(e4,e2) )
    & ( e4 = op(e2,e3)
      | e4 = op(e1,e3)
      | e4 = op(e0,e3)
      | e4 = op(e4,e3)
      | e4 = op(e3,e3) )
    & ( e0 = op(e2,e3)
      | e0 = op(e4,e3)
      | e0 = op(e1,e3)
      | e0 = op(e3,e3)
      | e0 = op(e0,e3) )
    & ( e3 = op(e0,e3)
      | e3 = op(e3,e3)
      | e3 = op(e4,e3)
      | e3 = op(e1,e3)
      | e3 = op(e2,e3) )
    & ( e4 = op(e1,e0)
      | e4 = op(e4,e0)
      | op(e0,e0) = e4
      | e4 = op(e3,e0)
      | e4 = op(e2,e0) )
    & ( e3 = op(e1,e1)
      | e3 = op(e1,e2)
      | e3 = op(e1,e4)
      | e3 = op(e1,e3)
      | e3 = op(e1,e0) )
    & ( e1 = op(e0,e2)
      | e1 = op(e0,e1)
      | e1 = op(e0,e3)
      | e1 = op(e0,e4)
      | op(e0,e0) = e1 )
    & ( e2 = op(e1,e4)
      | e2 = op(e1,e0)
      | e2 = op(e1,e3)
      | e2 = op(e1,e1)
      | e2 = op(e1,e2) )
    & ( e2 = op(e4,e1)
      | e2 = op(e4,e4)
      | e2 = op(e4,e2)
      | e2 = op(e4,e3)
      | e2 = op(e4,e0) )
    & ( e1 = op(e1,e1)
      | e1 = op(e0,e1)
      | e1 = op(e2,e1)
      | e1 = op(e3,e1)
      | e1 = op(e4,e1) )
    & ( e2 = op(e0,e2)
      | e2 = op(e0,e1)
      | op(e0,e0) = e2
      | e2 = op(e0,e3)
      | e2 = op(e0,e4) )
    & ( e3 = op(e4,e0)
      | e3 = op(e1,e0)
      | e3 = op(e2,e0)
      | e3 = op(e3,e0)
      | op(e0,e0) = e3 )
    & ( e0 = op(e0,e3)
      | e0 = op(e0,e0)
      | e0 = op(e0,e2)
      | e0 = op(e0,e4)
      | e0 = op(e0,e1) )
    & ( e0 = op(e4,e0)
      | e0 = op(e2,e0)
      | e0 = op(e1,e0)
      | e0 = op(e3,e0)
      | e0 = op(e0,e0) )
    & ( e4 = op(e1,e4)
      | e4 = op(e1,e1)
      | e4 = op(e1,e2)
      | e4 = op(e1,e3)
      | e4 = op(e1,e0) )
    & ( e2 = op(e0,e3)
      | e2 = op(e4,e3)
      | e2 = op(e2,e3)
      | e2 = op(e3,e3)
      | e2 = op(e1,e3) )
    & ( e2 = op(e3,e2)
      | e2 = op(e3,e3)
      | e2 = op(e3,e1)
      | e2 = op(e3,e0)
      | e2 = op(e3,e4) )
    & ( e4 = op(e4,e1)
      | e4 = op(e4,e2)
      | e4 = op(e4,e3)
      | e4 = op(e4,e4)
      | e4 = op(e4,e0) )
    & ( e1 = op(e4,e4)
      | e1 = op(e4,e1)
      | e1 = op(e4,e2)
      | e1 = op(e4,e0)
      | e1 = op(e4,e3) )
    & ( e0 = op(e3,e2)
      | e0 = op(e3,e3)
      | e0 = op(e3,e4)
      | e0 = op(e3,e0)
      | e0 = op(e3,e1) )
    & ( e2 = op(e2,e4)
      | e2 = op(e0,e4)
      | e2 = op(e4,e4)
      | e2 = op(e3,e4)
      | e2 = op(e1,e4) )
    & ( e1 = op(e2,e4)
      | e1 = op(e0,e4)
      | e1 = op(e1,e4)
      | e1 = op(e4,e4)
      | e1 = op(e3,e4) )
    & ( e4 = op(e3,e1)
      | e4 = op(e3,e3)
      | e4 = op(e3,e4)
      | e4 = op(e3,e2)
      | e4 = op(e3,e0) )
    & ( e0 = op(e2,e1)
      | e0 = op(e0,e1)
      | e0 = op(e4,e1)
      | e0 = op(e3,e1)
      | e0 = op(e1,e1) )
    & ( e0 = op(e4,e0)
      | e0 = op(e4,e2)
      | e0 = op(e4,e4)
      | e0 = op(e4,e3)
      | e0 = op(e4,e1) )
    & ( e2 = op(e2,e2)
      | e2 = op(e3,e2)
      | e2 = op(e4,e2)
      | e2 = op(e0,e2)
      | e2 = op(e1,e2) )
    & ( e1 = op(e2,e3)
      | e1 = op(e1,e3)
      | e1 = op(e0,e3)
      | e1 = op(e4,e3)
      | e1 = op(e3,e3) )
    & ( e3 = op(e0,e2)
      | e3 = op(e4,e2)
      | e3 = op(e2,e2)
      | e3 = op(e3,e2)
      | e3 = op(e1,e2) )
    & ( e2 = op(e2,e0)
      | e2 = op(e1,e0)
      | e2 = op(e4,e0)
      | e2 = op(e3,e0)
      | op(e0,e0) = e2 )
    & ( e2 = op(e2,e1)
      | e2 = op(e2,e2)
      | e2 = op(e2,e4)
      | e2 = op(e2,e3)
      | e2 = op(e2,e0) )
    & ( e3 = op(e1,e4)
      | e3 = op(e4,e4)
      | e3 = op(e3,e4)
      | e3 = op(e0,e4)
      | e3 = op(e2,e4) )
    & ( e4 = op(e2,e0)
      | e4 = op(e2,e2)
      | e4 = op(e2,e1)
      | e4 = op(e2,e4)
      | e4 = op(e2,e3) )
    & ( e0 = op(e0,e4)
      | e0 = op(e2,e4)
      | e0 = op(e3,e4)
      | e0 = op(e4,e4)
      | e0 = op(e1,e4) )
    & ( e1 = op(e3,e2)
      | e1 = op(e0,e2)
      | e1 = op(e2,e2)
      | e1 = op(e1,e2)
      | e1 = op(e4,e2) )
    & ( e2 = op(e2,e1)
      | e2 = op(e1,e1)
      | e2 = op(e3,e1)
      | e2 = op(e4,e1)
      | e2 = op(e0,e1) )
    & ( e3 = op(e2,e1)
      | e3 = op(e3,e1)
      | e3 = op(e1,e1)
      | e3 = op(e4,e1)
      | e3 = op(e0,e1) )
    & ( e3 = op(e3,e1)
      | e3 = op(e3,e3)
      | e3 = op(e3,e0)
      | e3 = op(e3,e4)
      | e3 = op(e3,e2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).

fof(f2606,plain,
    ( ~ spl0_90
    | ~ spl0_162
    | ~ spl0_93
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f421,f1051,f1129,f1445,f1116]) ).

fof(f1116,plain,
    ( spl0_90
  <=> e3 = op(op(e1,e1),op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f1445,plain,
    ( spl0_162
  <=> e0 = op(op(e1,op(e1,e1)),op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f1051,plain,
    ( spl0_75
  <=> e4 = op(e1,op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f421,plain,
    ( e4 != op(e1,op(e1,e1))
    | e2 != op(e1,e1)
    | e0 != op(op(e1,op(e1,e1)),op(e1,e1))
    | e3 != op(op(e1,e1),op(e1,e1)) ),
    inference(cnf_transformation,[],[f156]) ).

fof(f156,plain,
    ( e0 != op(op(e1,op(e1,e1)),op(e1,e1))
    | e4 != op(e1,op(e1,e1))
    | e3 != op(op(e1,e1),op(e1,e1))
    | e2 != op(e1,e1) ),
    inference(ennf_transformation,[],[f80]) ).

fof(f80,axiom,
    ~ ( e2 = op(e1,e1)
      & e0 = op(op(e1,op(e1,e1)),op(e1,e1))
      & e3 = op(op(e1,e1),op(e1,e1))
      & e4 = op(e1,op(e1,e1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax80) ).

fof(f2605,plain,
    ( spl0_277
    | spl0_242
    | spl0_173
    | spl0_135
    | spl0_215 ),
    inference(avatar_split_clause,[],[f278,f1717,f1317,f1497,f1861,f2059]) ).

fof(f1861,plain,
    ( spl0_242
  <=> e4 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_242])]) ).

fof(f1497,plain,
    ( spl0_173
  <=> e1 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f1317,plain,
    ( spl0_135
  <=> e0 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f1717,plain,
    ( spl0_215
  <=> e3 = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_215])]) ).

fof(f278,plain,
    ( e3 = op(e1,e3)
    | e0 = op(e1,e3)
    | e1 = op(e1,e3)
    | e4 = op(e1,e3)
    | e2 = op(e1,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ( ( e3 = op(e1,e3)
      | e2 = op(e1,e3)
      | e0 = op(e1,e3)
      | e4 = op(e1,e3)
      | e1 = op(e1,e3) )
    & ( e1 = op(e2,e2)
      | e2 = op(e2,e2)
      | e3 = op(e2,e2)
      | e4 = op(e2,e2)
      | e0 = op(e2,e2) )
    & ( e3 = op(e3,e3)
      | e1 = op(e3,e3)
      | e2 = op(e3,e3)
      | e0 = op(e3,e3)
      | e4 = op(e3,e3) )
    & ( e4 = op(e2,e3)
      | e3 = op(e2,e3)
      | e2 = op(e2,e3)
      | e0 = op(e2,e3)
      | e1 = op(e2,e3) )
    & ( e4 = op(e3,e2)
      | e0 = op(e3,e2)
      | e1 = op(e3,e2)
      | e2 = op(e3,e2)
      | e3 = op(e3,e2) )
    & ( e4 = op(e3,e0)
      | e2 = op(e3,e0)
      | e1 = op(e3,e0)
      | e3 = op(e3,e0)
      | e0 = op(e3,e0) )
    & ( e0 = op(e0,e4)
      | e4 = op(e0,e4)
      | e1 = op(e0,e4)
      | e3 = op(e0,e4)
      | e2 = op(e0,e4) )
    & ( e2 = op(e1,e4)
      | e1 = op(e1,e4)
      | e0 = op(e1,e4)
      | e3 = op(e1,e4)
      | e4 = op(e1,e4) )
    & ( e3 = op(e2,e4)
      | e0 = op(e2,e4)
      | e1 = op(e2,e4)
      | e4 = op(e2,e4)
      | e2 = op(e2,e4) )
    & ( e4 = op(e2,e1)
      | e2 = op(e2,e1)
      | e1 = op(e2,e1)
      | e3 = op(e2,e1)
      | e0 = op(e2,e1) )
    & ( e4 = op(e3,e4)
      | e0 = op(e3,e4)
      | e1 = op(e3,e4)
      | e3 = op(e3,e4)
      | e2 = op(e3,e4) )
    & ( e0 = op(e4,e3)
      | e2 = op(e4,e3)
      | e3 = op(e4,e3)
      | e1 = op(e4,e3)
      | e4 = op(e4,e3) )
    & ( e2 = op(e0,e3)
      | e3 = op(e0,e3)
      | e1 = op(e0,e3)
      | e4 = op(e0,e3)
      | e0 = op(e0,e3) )
    & ( e4 = op(e0,e2)
      | e3 = op(e0,e2)
      | e2 = op(e0,e2)
      | e1 = op(e0,e2)
      | e0 = op(e0,e2) )
    & ( e3 = op(e1,e1)
      | e1 = op(e1,e1)
      | e2 = op(e1,e1)
      | e4 = op(e1,e1)
      | e0 = op(e1,e1) )
    & ( e2 = op(e4,e0)
      | e3 = op(e4,e0)
      | e1 = op(e4,e0)
      | e0 = op(e4,e0)
      | e4 = op(e4,e0) )
    & ( e0 = op(e0,e1)
      | e3 = op(e0,e1)
      | e2 = op(e0,e1)
      | e4 = op(e0,e1)
      | e1 = op(e0,e1) )
    & ( e4 = op(e4,e4)
      | e1 = op(e4,e4)
      | e0 = op(e4,e4)
      | e2 = op(e4,e4)
      | e3 = op(e4,e4) )
    & ( e3 = op(e3,e1)
      | e1 = op(e3,e1)
      | e0 = op(e3,e1)
      | e4 = op(e3,e1)
      | e2 = op(e3,e1) )
    & ( e3 = op(e4,e1)
      | e2 = op(e4,e1)
      | e1 = op(e4,e1)
      | e0 = op(e4,e1)
      | e4 = op(e4,e1) )
    & ( e2 = op(e2,e0)
      | e4 = op(e2,e0)
      | e0 = op(e2,e0)
      | e3 = op(e2,e0)
      | e1 = op(e2,e0) )
    & ( e3 = op(e1,e0)
      | e2 = op(e1,e0)
      | e0 = op(e1,e0)
      | e4 = op(e1,e0)
      | e1 = op(e1,e0) )
    & ( e0 = op(e0,e0)
      | op(e0,e0) = e1
      | op(e0,e0) = e4
      | op(e0,e0) = e2
      | op(e0,e0) = e3 )
    & ( e3 = op(e1,e2)
      | e4 = op(e1,e2)
      | e2 = op(e1,e2)
      | e1 = op(e1,e2)
      | e0 = op(e1,e2) )
    & ( e4 = op(e4,e2)
      | e0 = op(e4,e2)
      | e3 = op(e4,e2)
      | e1 = op(e4,e2)
      | e2 = op(e4,e2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).

fof(f2604,plain,
    ( ~ spl0_86
    | ~ spl0_62
    | ~ spl0_88
    | spl0_89
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f484,f1103,f1111,f1107,f995,f1099]) ).

fof(f1099,plain,
    ( spl0_86
  <=> e2 = op(e4,op(e4,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f1107,plain,
    ( spl0_88
  <=> e2 = op(e3,op(e3,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f484,plain,
    ( e2 != op(e0,op(e0,e2))
    | e1 = op(e2,op(e1,e2))
    | e2 != op(e3,op(e3,e2))
    | e2 != op(e2,op(e2,e2))
    | e2 != op(e4,op(e4,e2)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2603,plain,
    ( spl0_257
    | spl0_260
    | spl0_227
    | spl0_25
    | spl0_102 ),
    inference(avatar_split_clause,[],[f633,f1171,f828,f1784,f1959,f1944]) ).

fof(f1944,plain,
    ( spl0_257
  <=> e2 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_257])]) ).

fof(f1784,plain,
    ( spl0_227
  <=> e2 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_227])]) ).

fof(f828,plain,
    ( spl0_25
  <=> e2 = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f1171,plain,
    ( spl0_102
  <=> e2 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f633,plain,
    ( e2 = op(e0,e2)
    | e2 = op(e4,e2)
    | e2 = op(e3,e2)
    | e2 = op(e1,e2)
    | e2 = op(e2,e2) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f2602,plain,
    ( ~ spl0_120
    | ~ spl0_188
    | ~ spl0_106
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f687,f802,f1189,f1575,f1251]) ).

fof(f1251,plain,
    ( spl0_120
  <=> e1 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f1575,plain,
    ( spl0_188
  <=> e2 = op(e3,op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).

fof(f1189,plain,
    ( spl0_106
  <=> e0 = op(op(e3,e3),op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f802,plain,
    ( spl0_19
  <=> e4 = op(op(e3,op(e3,e3)),op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f687,plain,
    ( e4 != op(op(e3,op(e3,e3)),op(e3,e3))
    | e0 != op(op(e3,e3),op(e3,e3))
    | e2 != op(e3,op(e3,e3))
    | e1 != op(e3,e3) ),
    inference(cnf_transformation,[],[f212]) ).

fof(f212,plain,
    ( e4 != op(op(e3,op(e3,e3)),op(e3,e3))
    | e0 != op(op(e3,e3),op(e3,e3))
    | e2 != op(e3,op(e3,e3))
    | e1 != op(e3,e3) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f30,axiom,
    ~ ( e2 = op(e3,op(e3,e3))
      & e4 = op(op(e3,op(e3,e3)),op(e3,e3))
      & e0 = op(op(e3,e3),op(e3,e3))
      & e1 = op(e3,e3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax30) ).

fof(f2601,plain,
    ( spl0_133
    | spl0_57
    | spl0_165
    | spl0_176
    | spl0_37 ),
    inference(avatar_split_clause,[],[f256,f879,f1513,f1458,f973,f1307]) ).

fof(f1307,plain,
    ( spl0_133
  <=> op(e0,e0) = e1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f973,plain,
    ( spl0_57
  <=> op(e0,e0) = e4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f1458,plain,
    ( spl0_165
  <=> e0 = op(e0,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f1513,plain,
    ( spl0_176
  <=> op(e0,e0) = e2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f879,plain,
    ( spl0_37
  <=> op(e0,e0) = e3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f256,plain,
    ( op(e0,e0) = e3
    | op(e0,e0) = e2
    | e0 = op(e0,e0)
    | op(e0,e0) = e4
    | op(e0,e0) = e1 ),
    inference(cnf_transformation,[],[f1]) ).

fof(f2600,plain,
    ( ~ spl0_8
    | ~ spl0_200
    | ~ spl0_6
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f306,f1430,f745,f1637,f753]) ).

fof(f753,plain,
    ( spl0_8
  <=> e3 = op(e2,op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f1637,plain,
    ( spl0_200
  <=> e1 = op(op(e2,e2),op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_200])]) ).

fof(f745,plain,
    ( spl0_6
  <=> e4 = op(op(e2,op(e2,e2)),op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f1430,plain,
    ( spl0_159
  <=> e0 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f306,plain,
    ( e0 != op(e2,e2)
    | e4 != op(op(e2,op(e2,e2)),op(e2,e2))
    | e1 != op(op(e2,e2),op(e2,e2))
    | e3 != op(e2,op(e2,e2)) ),
    inference(cnf_transformation,[],[f186]) ).

fof(f186,plain,
    ( e4 != op(op(e2,op(e2,e2)),op(e2,e2))
    | e0 != op(e2,e2)
    | e1 != op(op(e2,e2),op(e2,e2))
    | e3 != op(e2,op(e2,e2)) ),
    inference(ennf_transformation,[],[f52]) ).

fof(f52,axiom,
    ~ ( e4 = op(op(e2,op(e2,e2)),op(e2,e2))
      & e1 = op(op(e2,e2),op(e2,e2))
      & e3 = op(e2,op(e2,e2))
      & e0 = op(e2,e2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax52) ).

fof(f2599,plain,
    ~ spl0_353,
    inference(avatar_split_clause,[],[f404,f2596]) ).

fof(f2596,plain,
    ( spl0_353
  <=> op(e3,e1) = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_353])]) ).

fof(f404,plain,
    op(e3,e1) != op(e3,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f2594,plain,
    ( spl0_220
    | spl0_78
    | spl0_233
    | spl0_214
    | spl0_115 ),
    inference(avatar_split_clause,[],[f659,f1229,f1713,f1817,f1064,f1744]) ).

fof(f1744,plain,
    ( spl0_220
  <=> e3 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_220])]) ).

fof(f1064,plain,
    ( spl0_78
  <=> e3 = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f1817,plain,
    ( spl0_233
  <=> e3 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_233])]) ).

fof(f1713,plain,
    ( spl0_214
  <=> e3 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_214])]) ).

fof(f1229,plain,
    ( spl0_115
  <=> e3 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f659,plain,
    ( e3 = op(e2,e2)
    | e3 = op(e2,e3)
    | e3 = op(e2,e0)
    | e3 = op(e2,e4)
    | e3 = op(e2,e1) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f2593,plain,
    ( ~ spl0_44
    | ~ spl0_146
    | ~ spl0_34
    | ~ spl0_30
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f522,f857,f849,f865,f1368,f911]) ).

fof(f911,plain,
    ( spl0_44
  <=> e0 = op(e1,op(e1,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f1368,plain,
    ( spl0_146
  <=> e0 = op(e4,op(e4,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f865,plain,
    ( spl0_34
  <=> e0 = op(e3,op(e3,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f849,plain,
    ( spl0_30
  <=> e0 = op(e2,op(e2,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f857,plain,
    ( spl0_32
  <=> e0 = op(e0,op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f522,plain,
    ( e0 != op(e0,op(e0,e0))
    | e0 != op(e2,op(e2,e0))
    | e0 != op(e3,op(e3,e0))
    | e0 != op(e4,op(e4,e0))
    | e0 != op(e1,op(e1,e0)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2592,plain,
    ~ spl0_352,
    inference(avatar_split_clause,[],[f612,f2589]) ).

fof(f2589,plain,
    ( spl0_352
  <=> e1 = e4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_352])]) ).

fof(f612,plain,
    e1 != e4,
    inference(cnf_transformation,[],[f5]) ).

fof(f5,axiom,
    ( e1 != e2
    & e2 != e3
    & e0 != e4
    & e0 != e1
    & e3 != e4
    & e1 != e3
    & e2 != e4
    & e1 != e4
    & e0 != e2
    & e0 != e3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).

fof(f2587,plain,
    ~ spl0_351,
    inference(avatar_split_clause,[],[f386,f2584]) ).

fof(f2584,plain,
    ( spl0_351
  <=> op(e1,e4) = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_351])]) ).

fof(f386,plain,
    op(e1,e4) != op(e4,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f2582,plain,
    ~ spl0_350,
    inference(avatar_split_clause,[],[f613,f2579]) ).

fof(f2579,plain,
    ( spl0_350
  <=> e2 = e4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_350])]) ).

fof(f613,plain,
    e2 != e4,
    inference(cnf_transformation,[],[f5]) ).

fof(f2577,plain,
    ( spl0_345
    | spl0_346
    | spl0_347
    | spl0_348
    | spl0_349 ),
    inference(avatar_split_clause,[],[f695,f2574,f2570,f2566,f2562,f2558]) ).

fof(f2558,plain,
    ( spl0_345
  <=> e1 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_345])]) ).

fof(f2562,plain,
    ( spl0_346
  <=> e2 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_346])]) ).

fof(f2566,plain,
    ( spl0_347
  <=> e0 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_347])]) ).

fof(f2570,plain,
    ( spl0_348
  <=> e3 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_348])]) ).

fof(f2574,plain,
    ( spl0_349
  <=> e4 = unit ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_349])]) ).

fof(f695,plain,
    ( e4 = unit
    | e3 = unit
    | e0 = unit
    | e2 = unit
    | e1 = unit ),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ( e1 = op(e1,unit)
    & e4 = op(e4,unit)
    & e4 = op(unit,e4)
    & e3 = op(e3,unit)
    & e2 = op(e2,unit)
    & e0 = op(unit,e0)
    & e3 = op(unit,e3)
    & ( e4 = unit
      | e2 = unit
      | e1 = unit
      | e3 = unit
      | e0 = unit )
    & e0 = op(e0,unit)
    & e1 = op(unit,e1)
    & e2 = op(unit,e2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).

fof(f2556,plain,
    ( ~ spl0_2
    | spl0_42
    | spl0_170
    | spl0_41
    | spl0_3 ),
    inference(avatar_split_clause,[],[f554,f732,f897,f1483,f901,f728]) ).

fof(f728,plain,
    ( spl0_2
  <=> e3 = op(e3,op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f901,plain,
    ( spl0_42
  <=> e0 = op(e3,op(e0,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f1483,plain,
    ( spl0_170
  <=> e2 = op(e3,op(e2,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f897,plain,
    ( spl0_41
  <=> e1 = op(e3,op(e1,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f732,plain,
    ( spl0_3
  <=> e4 = op(e3,op(e4,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f554,plain,
    ( e4 = op(e3,op(e4,e3))
    | e1 = op(e3,op(e1,e3))
    | e2 = op(e3,op(e2,e3))
    | e0 = op(e3,op(e0,e3))
    | e3 != op(e3,op(e3,e3)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2555,plain,
    ( ~ spl0_151
    | ~ spl0_149
    | spl0_152
    | ~ spl0_124
    | spl0_122 ),
    inference(avatar_split_clause,[],[f461,f1260,f1268,f1397,f1383,f1393]) ).

fof(f1393,plain,
    ( spl0_151
  <=> e1 = op(e0,op(e0,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f1383,plain,
    ( spl0_149
  <=> e1 = op(e3,op(e3,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f1397,plain,
    ( spl0_152
  <=> e2 = op(e1,op(e2,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f1268,plain,
    ( spl0_124
  <=> e1 = op(e1,op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f1260,plain,
    ( spl0_122
  <=> e4 = op(e1,op(e4,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f461,plain,
    ( e4 = op(e1,op(e4,e1))
    | e1 != op(e1,op(e1,e1))
    | e2 = op(e1,op(e2,e1))
    | e1 != op(e3,op(e3,e1))
    | e1 != op(e0,op(e0,e1)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2554,plain,
    ( spl0_227
    | spl0_187
    | spl0_108
    | spl0_237
    | spl0_273 ),
    inference(avatar_split_clause,[],[f642,f2038,f1836,f1197,f1570,f1784]) ).

fof(f1570,plain,
    ( spl0_187
  <=> e2 = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).

fof(f1197,plain,
    ( spl0_108
  <=> e2 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f1836,plain,
    ( spl0_237
  <=> e2 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_237])]) ).

fof(f2038,plain,
    ( spl0_273
  <=> e2 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_273])]) ).

fof(f642,plain,
    ( e2 = op(e3,e0)
    | e2 = op(e3,e1)
    | e2 = op(e3,e3)
    | e2 = op(e3,e4)
    | e2 = op(e3,e2) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f2553,plain,
    ( ~ spl0_140
    | ~ spl0_93
    | ~ spl0_75
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f714,f944,f1051,f1129,f1339]) ).

fof(f1339,plain,
    ( spl0_140
  <=> e0 = op(op(e1,e1),op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f944,plain,
    ( spl0_51
  <=> e3 = op(op(e1,op(e1,e1)),op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f714,plain,
    ( e3 != op(op(e1,op(e1,e1)),op(e1,e1))
    | e4 != op(e1,op(e1,e1))
    | e2 != op(e1,e1)
    | e0 != op(op(e1,e1),op(e1,e1)) ),
    inference(cnf_transformation,[],[f184]) ).

fof(f184,plain,
    ( e0 != op(op(e1,e1),op(e1,e1))
    | e2 != op(e1,e1)
    | e4 != op(e1,op(e1,e1))
    | e3 != op(op(e1,op(e1,e1)),op(e1,e1)) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,axiom,
    ~ ( e2 = op(e1,e1)
      & e4 = op(e1,op(e1,e1))
      & e3 = op(op(e1,op(e1,e1)),op(e1,e1))
      & e0 = op(op(e1,e1),op(e1,e1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).

fof(f2552,plain,
    ( ~ spl0_47
    | ~ spl0_23
    | spl0_21
    | ~ spl0_40
    | spl0_20 ),
    inference(avatar_split_clause,[],[f592,f807,f892,f811,f819,f925]) ).

fof(f925,plain,
    ( spl0_47
  <=> e4 = op(e3,op(e3,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f819,plain,
    ( spl0_23
  <=> e4 = op(e0,op(e0,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f811,plain,
    ( spl0_21
  <=> e1 = op(e4,op(e1,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f892,plain,
    ( spl0_40
  <=> e4 = op(e2,op(e2,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f807,plain,
    ( spl0_20
  <=> e4 = op(e4,op(e4,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f592,plain,
    ( e4 = op(e4,op(e4,e4))
    | e4 != op(e2,op(e2,e4))
    | e1 = op(e4,op(e1,e4))
    | e4 != op(e0,op(e0,e4))
    | e4 != op(e3,op(e3,e4)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2551,plain,
    ~ spl0_344,
    inference(avatar_split_clause,[],[f373,f2548]) ).

fof(f2548,plain,
    ( spl0_344
  <=> op(e1,e0) = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_344])]) ).

fof(f373,plain,
    op(e1,e0) != op(e1,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f2546,plain,
    ~ spl0_343,
    inference(avatar_split_clause,[],[f407,f2543]) ).

fof(f2543,plain,
    ( spl0_343
  <=> op(e4,e0) = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_343])]) ).

fof(f407,plain,
    op(e4,e0) != op(e4,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f2541,plain,
    ( ~ spl0_32
    | spl0_45
    | ~ spl0_34
    | ~ spl0_146
    | spl0_31 ),
    inference(avatar_split_clause,[],[f510,f853,f1368,f865,f915,f857]) ).

fof(f915,plain,
    ( spl0_45
  <=> e2 = op(e0,op(e2,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f853,plain,
    ( spl0_31
  <=> e1 = op(e0,op(e1,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f510,plain,
    ( e1 = op(e0,op(e1,e0))
    | e0 != op(e4,op(e4,e0))
    | e0 != op(e3,op(e3,e0))
    | e2 = op(e0,op(e2,e0))
    | e0 != op(e0,op(e0,e0)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2540,plain,
    ( ~ spl0_12
    | ~ spl0_19
    | ~ spl0_188
    | ~ spl0_314 ),
    inference(avatar_split_clause,[],[f253,f2321,f1575,f802,f770]) ).

fof(f770,plain,
    ( spl0_12
  <=> e0 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f2321,plain,
    ( spl0_314
  <=> e1 = op(op(e3,e3),op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_314])]) ).

fof(f253,plain,
    ( e1 != op(op(e3,e3),op(e3,e3))
    | e2 != op(e3,op(e3,e3))
    | e4 != op(op(e3,op(e3,e3)),op(e3,e3))
    | e0 != op(e3,e3) ),
    inference(cnf_transformation,[],[f147]) ).

fof(f147,plain,
    ( e0 != op(e3,e3)
    | e1 != op(op(e3,e3),op(e3,e3))
    | e4 != op(op(e3,op(e3,e3)),op(e3,e3))
    | e2 != op(e3,op(e3,e3)) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f54,axiom,
    ~ ( e4 = op(op(e3,op(e3,e3)),op(e3,e3))
      & e2 = op(e3,op(e3,e3))
      & e1 = op(op(e3,e3),op(e3,e3))
      & e0 = op(e3,e3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax54) ).

fof(f2539,plain,
    ~ spl0_342,
    inference(avatar_split_clause,[],[f615,f2536]) ).

fof(f2536,plain,
    ( spl0_342
  <=> e3 = e4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_342])]) ).

fof(f615,plain,
    e3 != e4,
    inference(cnf_transformation,[],[f5]) ).

fof(f2534,plain,
    spl0_341,
    inference(avatar_split_clause,[],[f693,f2531]) ).

fof(f2531,plain,
    ( spl0_341
  <=> e1 = op(unit,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_341])]) ).

fof(f693,plain,
    e1 = op(unit,e1),
    inference(cnf_transformation,[],[f2]) ).

fof(f2529,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | ~ spl0_43
    | ~ spl0_4
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f539,f724,f736,f906,f740,f728]) ).

fof(f740,plain,
    ( spl0_5
  <=> e3 = op(e2,op(e2,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f906,plain,
    ( spl0_43
  <=> e3 = op(e4,op(e4,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f736,plain,
    ( spl0_4
  <=> e3 = op(e0,op(e0,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f724,plain,
    ( spl0_1
  <=> e3 = op(e1,op(e1,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f539,plain,
    ( e3 != op(e1,op(e1,e3))
    | e3 != op(e0,op(e0,e3))
    | e3 != op(e4,op(e4,e3))
    | e3 != op(e2,op(e2,e3))
    | e3 != op(e3,op(e3,e3)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2528,plain,
    ( spl0_241
    | spl0_272
    | spl0_132
    | spl0_235
    | spl0_136 ),
    inference(avatar_split_clause,[],[f257,f1321,f1825,f1303,f2034,f1857]) ).

fof(f1857,plain,
    ( spl0_241
  <=> e4 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_241])]) ).

fof(f1303,plain,
    ( spl0_132
  <=> e1 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f1825,plain,
    ( spl0_235
  <=> e3 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_235])]) ).

fof(f1321,plain,
    ( spl0_136
  <=> e0 = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f257,plain,
    ( e0 = op(e1,e0)
    | e3 = op(e1,e0)
    | e1 = op(e1,e0)
    | e2 = op(e1,e0)
    | e4 = op(e1,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f2527,plain,
    ( ~ spl0_19
    | ~ spl0_314
    | ~ spl0_108
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f431,f1255,f1197,f2321,f802]) ).

fof(f1255,plain,
    ( spl0_121
  <=> e0 = op(e3,op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f431,plain,
    ( e0 != op(e3,op(e3,e3))
    | e2 != op(e3,e3)
    | e1 != op(op(e3,e3),op(e3,e3))
    | e4 != op(op(e3,op(e3,e3)),op(e3,e3)) ),
    inference(cnf_transformation,[],[f226]) ).

fof(f226,plain,
    ( e2 != op(e3,e3)
    | e4 != op(op(e3,op(e3,e3)),op(e3,e3))
    | e1 != op(op(e3,e3),op(e3,e3))
    | e0 != op(e3,op(e3,e3)) ),
    inference(ennf_transformation,[],[f53]) ).

fof(f53,axiom,
    ~ ( e2 = op(e3,e3)
      & e4 = op(op(e3,op(e3,e3)),op(e3,e3))
      & e0 = op(e3,op(e3,e3))
      & e1 = op(op(e3,e3),op(e3,e3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax53) ).

fof(f2526,plain,
    ( ~ spl0_57
    | ~ spl0_206
    | ~ spl0_38
    | ~ spl0_232 ),
    inference(avatar_split_clause,[],[f716,f1808,f883,f1668,f973]) ).

fof(f1668,plain,
    ( spl0_206
  <=> e3 = op(op(e0,e0),op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_206])]) ).

fof(f883,plain,
    ( spl0_38
  <=> e1 = op(e0,op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f1808,plain,
    ( spl0_232
  <=> e2 = op(op(e0,op(e0,e0)),op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_232])]) ).

fof(f716,plain,
    ( e2 != op(op(e0,op(e0,e0)),op(e0,e0))
    | e1 != op(e0,op(e0,e0))
    | e3 != op(op(e0,e0),op(e0,e0))
    | op(e0,e0) != e4 ),
    inference(cnf_transformation,[],[f172]) ).

fof(f172,plain,
    ( e1 != op(e0,op(e0,e0))
    | e3 != op(op(e0,e0),op(e0,e0))
    | e2 != op(op(e0,op(e0,e0)),op(e0,e0))
    | op(e0,e0) != e4 ),
    inference(ennf_transformation,[],[f91]) ).

fof(f91,axiom,
    ~ ( op(e0,e0) = e4
      & e1 = op(e0,op(e0,e0))
      & e2 = op(op(e0,op(e0,e0)),op(e0,e0))
      & e3 = op(op(e0,e0),op(e0,e0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax91) ).

fof(f2525,plain,
    ~ spl0_340,
    inference(avatar_split_clause,[],[f321,f2522]) ).

fof(f2522,plain,
    ( spl0_340
  <=> op(e3,e2) = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_340])]) ).

fof(f321,plain,
    op(e3,e2) != op(e3,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f2520,plain,
    ( ~ spl0_94
    | ~ spl0_115
    | ~ spl0_207
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f418,f1237,f1673,f1229,f1134]) ).

fof(f1134,plain,
    ( spl0_94
  <=> e0 = op(op(e2,op(e2,e2)),op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f1673,plain,
    ( spl0_207
  <=> e1 = op(e2,op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_207])]) ).

fof(f1237,plain,
    ( spl0_117
  <=> e4 = op(op(e2,e2),op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f418,plain,
    ( e4 != op(op(e2,e2),op(e2,e2))
    | e1 != op(e2,op(e2,e2))
    | e3 != op(e2,e2)
    | e0 != op(op(e2,op(e2,e2)),op(e2,e2)) ),
    inference(cnf_transformation,[],[f136]) ).

fof(f136,plain,
    ( e0 != op(op(e2,op(e2,e2)),op(e2,e2))
    | e1 != op(e2,op(e2,e2))
    | e3 != op(e2,e2)
    | e4 != op(op(e2,e2),op(e2,e2)) ),
    inference(ennf_transformation,[],[f105]) ).

fof(f105,axiom,
    ~ ( e0 = op(op(e2,op(e2,e2)),op(e2,e2))
      & e4 = op(op(e2,e2),op(e2,e2))
      & e3 = op(e2,e2)
      & e1 = op(e2,op(e2,e2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax105) ).

fof(f2519,plain,
    ( spl0_189
    | spl0_265
    | spl0_269
    | spl0_172
    | spl0_253 ),
    inference(avatar_split_clause,[],[f649,f1922,f1493,f2021,f1998,f1580]) ).

fof(f1580,plain,
    ( spl0_189
  <=> e1 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).

fof(f1998,plain,
    ( spl0_265
  <=> e1 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_265])]) ).

fof(f2021,plain,
    ( spl0_269
  <=> e1 = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_269])]) ).

fof(f1493,plain,
    ( spl0_172
  <=> e1 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f1922,plain,
    ( spl0_253
  <=> e1 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_253])]) ).

fof(f649,plain,
    ( e1 = op(e0,e1)
    | e1 = op(e1,e1)
    | e1 = op(e4,e1)
    | e1 = op(e2,e1)
    | e1 = op(e3,e1) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f2518,plain,
    ~ spl0_339,
    inference(avatar_split_clause,[],[f382,f2515]) ).

fof(f2515,plain,
    ( spl0_339
  <=> op(e2,e1) = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_339])]) ).

fof(f382,plain,
    op(e2,e1) != op(e4,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f2513,plain,
    ( ~ spl0_100
    | ~ spl0_20
    | ~ spl0_47
    | ~ spl0_23
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f575,f892,f819,f925,f807,f1162]) ).

fof(f1162,plain,
    ( spl0_100
  <=> e4 = op(e1,op(e1,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f575,plain,
    ( e4 != op(e2,op(e2,e4))
    | e4 != op(e0,op(e0,e4))
    | e4 != op(e3,op(e3,e4))
    | e4 != op(e4,op(e4,e4))
    | e4 != op(e1,op(e1,e4)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2512,plain,
    ( ~ spl0_145
    | ~ spl0_36
    | ~ spl0_176
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f423,f978,f1513,f875,f1363]) ).

fof(f1363,plain,
    ( spl0_145
  <=> e3 = op(e0,op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f875,plain,
    ( spl0_36
  <=> e4 = op(op(e0,op(e0,e0)),op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f978,plain,
    ( spl0_58
  <=> e1 = op(op(e0,e0),op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f423,plain,
    ( e1 != op(op(e0,e0),op(e0,e0))
    | op(e0,e0) != e2
    | e4 != op(op(e0,op(e0,e0)),op(e0,e0))
    | e3 != op(e0,op(e0,e0)) ),
    inference(cnf_transformation,[],[f207]) ).

fof(f207,plain,
    ( e4 != op(op(e0,op(e0,e0)),op(e0,e0))
    | e3 != op(e0,op(e0,e0))
    | op(e0,e0) != e2
    | e1 != op(op(e0,e0),op(e0,e0)) ),
    inference(ennf_transformation,[],[f50]) ).

fof(f50,axiom,
    ~ ( op(e0,e0) = e2
      & e1 = op(op(e0,e0),op(e0,e0))
      & e3 = op(e0,op(e0,e0))
      & e4 = op(op(e0,op(e0,e0)),op(e0,e0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax50) ).

fof(f2511,plain,
    ~ spl0_338,
    inference(avatar_split_clause,[],[f340,f2508]) ).

fof(f2508,plain,
    ( spl0_338
  <=> op(e0,e1) = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_338])]) ).

fof(f340,plain,
    op(e0,e1) != op(e2,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f2506,plain,
    ( ~ spl0_58
    | ~ spl0_37
    | ~ spl0_36
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f605,f982,f875,f879,f978]) ).

fof(f982,plain,
    ( spl0_59
  <=> e2 = op(e0,op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f605,plain,
    ( e2 != op(e0,op(e0,e0))
    | e4 != op(op(e0,op(e0,e0)),op(e0,e0))
    | op(e0,e0) != e3
    | e1 != op(op(e0,e0),op(e0,e0)) ),
    inference(cnf_transformation,[],[f211]) ).

fof(f211,plain,
    ( e4 != op(op(e0,op(e0,e0)),op(e0,e0))
    | op(e0,e0) != e3
    | e1 != op(op(e0,e0),op(e0,e0))
    | e2 != op(e0,op(e0,e0)) ),
    inference(ennf_transformation,[],[f49]) ).

fof(f49,axiom,
    ~ ( e1 = op(op(e0,e0),op(e0,e0))
      & op(e0,e0) = e3
      & e4 = op(op(e0,op(e0,e0)),op(e0,e0))
      & e2 = op(e0,op(e0,e0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax49) ).

fof(f2505,plain,
    ( spl0_276
    | spl0_25
    | spl0_68
    | spl0_182
    | spl0_271 ),
    inference(avatar_split_clause,[],[f650,f2029,f1544,f1021,f828,f2055]) ).

fof(f2055,plain,
    ( spl0_276
  <=> e2 = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_276])]) ).

fof(f1021,plain,
    ( spl0_68
  <=> e2 = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f1544,plain,
    ( spl0_182
  <=> e2 = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).

fof(f2029,plain,
    ( spl0_271
  <=> e2 = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_271])]) ).

fof(f650,plain,
    ( e2 = op(e4,e1)
    | e2 = op(e4,e0)
    | e2 = op(e4,e4)
    | e2 = op(e4,e2)
    | e2 = op(e4,e3) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f2504,plain,
    ~ spl0_337,
    inference(avatar_split_clause,[],[f314,f2501]) ).

fof(f2501,plain,
    ( spl0_337
  <=> op(e0,e4) = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_337])]) ).

fof(f314,plain,
    op(e0,e4) != op(e4,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f2499,plain,
    ( ~ spl0_47
    | ~ spl0_23
    | spl0_21
    | spl0_20
    | spl0_22 ),
    inference(avatar_split_clause,[],[f596,f815,f807,f811,f819,f925]) ).

fof(f815,plain,
    ( spl0_22
  <=> e2 = op(e4,op(e2,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f596,plain,
    ( e2 = op(e4,op(e2,e4))
    | e4 = op(e4,op(e4,e4))
    | e1 = op(e4,op(e1,e4))
    | e4 != op(e0,op(e0,e4))
    | e4 != op(e3,op(e3,e4)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2498,plain,
    ( spl0_68
    | spl0_147
    | spl0_84
    | spl0_80
    | spl0_158 ),
    inference(avatar_split_clause,[],[f261,f1424,f1072,f1090,f1374,f1021]) ).

fof(f1374,plain,
    ( spl0_147
  <=> e0 = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f1090,plain,
    ( spl0_84
  <=> e1 = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f1072,plain,
    ( spl0_80
  <=> e3 = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f1424,plain,
    ( spl0_158
  <=> e4 = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f261,plain,
    ( e4 = op(e4,e4)
    | e3 = op(e4,e4)
    | e1 = op(e4,e4)
    | e0 = op(e4,e4)
    | e2 = op(e4,e4) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f2497,plain,
    ( ~ spl0_52
    | ~ spl0_92
    | ~ spl0_141
    | ~ spl0_262 ),
    inference(avatar_split_clause,[],[f427,f1968,f1343,f1125,f948]) ).

fof(f948,plain,
    ( spl0_52
  <=> e4 = op(op(e1,e1),op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f1125,plain,
    ( spl0_92
  <=> e0 = op(e1,op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f1343,plain,
    ( spl0_141
  <=> e3 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f1968,plain,
    ( spl0_262
  <=> e2 = op(op(e1,op(e1,e1)),op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_262])]) ).

fof(f427,plain,
    ( e2 != op(op(e1,op(e1,e1)),op(e1,e1))
    | e3 != op(e1,e1)
    | e0 != op(e1,op(e1,e1))
    | e4 != op(op(e1,e1),op(e1,e1)) ),
    inference(cnf_transformation,[],[f244]) ).

fof(f244,plain,
    ( e4 != op(op(e1,e1),op(e1,e1))
    | e3 != op(e1,e1)
    | e0 != op(e1,op(e1,e1))
    | e2 != op(op(e1,op(e1,e1)),op(e1,e1)) ),
    inference(ennf_transformation,[],[f117]) ).

fof(f117,axiom,
    ~ ( e0 = op(e1,op(e1,e1))
      & e2 = op(op(e1,op(e1,e1)),op(e1,e1))
      & e4 = op(op(e1,e1),op(e1,e1))
      & e3 = op(e1,e1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax117) ).

fof(f2496,plain,
    ( ~ spl0_16
    | ~ spl0_314
    | ~ spl0_15
    | ~ spl0_188 ),
    inference(avatar_split_clause,[],[f675,f1575,f783,f2321,f787]) ).

fof(f787,plain,
    ( spl0_16
  <=> e4 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f783,plain,
    ( spl0_15
  <=> e0 = op(op(e3,op(e3,e3)),op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f675,plain,
    ( e2 != op(e3,op(e3,e3))
    | e0 != op(op(e3,op(e3,e3)),op(e3,e3))
    | e1 != op(op(e3,e3),op(e3,e3))
    | e4 != op(e3,e3) ),
    inference(cnf_transformation,[],[f169]) ).

fof(f169,plain,
    ( e0 != op(op(e3,op(e3,e3)),op(e3,e3))
    | e1 != op(op(e3,e3),op(e3,e3))
    | e2 != op(e3,op(e3,e3))
    | e4 != op(e3,e3) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f33,axiom,
    ~ ( e4 = op(e3,e3)
      & e1 = op(op(e3,e3),op(e3,e3))
      & e0 = op(op(e3,op(e3,e3)),op(e3,e3))
      & e2 = op(e3,op(e3,e3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax33) ).

fof(f2495,plain,
    ~ spl0_336,
    inference(avatar_split_clause,[],[f342,f2492]) ).

fof(f2492,plain,
    ( spl0_336
  <=> op(e0,e4) = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_336])]) ).

fof(f342,plain,
    op(e0,e4) != op(e1,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f2490,plain,
    ( ~ spl0_60
    | ~ spl0_62
    | ~ spl0_86
    | ~ spl0_87
    | spl0_64 ),
    inference(avatar_split_clause,[],[f485,f1003,f1103,f1099,f995,f987]) ).

fof(f987,plain,
    ( spl0_60
  <=> e2 = op(e1,op(e1,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f485,plain,
    ( e3 = op(e2,op(e3,e2))
    | e2 != op(e0,op(e0,e2))
    | e2 != op(e4,op(e4,e2))
    | e2 != op(e2,op(e2,e2))
    | e2 != op(e1,op(e1,e2)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2489,plain,
    ( ~ spl0_146
    | spl0_32
    | ~ spl0_30
    | spl0_31
    | spl0_49 ),
    inference(avatar_split_clause,[],[f523,f934,f853,f849,f857,f1368]) ).

fof(f934,plain,
    ( spl0_49
  <=> e3 = op(e0,op(e3,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f523,plain,
    ( e3 = op(e0,op(e3,e0))
    | e1 = op(e0,op(e1,e0))
    | e0 != op(e2,op(e2,e0))
    | e0 = op(e0,op(e0,e0))
    | e0 != op(e4,op(e4,e0)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2488,plain,
    ~ spl0_335,
    inference(avatar_split_clause,[],[f320,f2485]) ).

fof(f2485,plain,
    ( spl0_335
  <=> op(e1,e0) = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_335])]) ).

fof(f320,plain,
    op(e1,e0) != op(e1,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f2483,plain,
    ( ~ spl0_124
    | ~ spl0_125
    | spl0_122
    | spl0_126
    | spl0_123 ),
    inference(avatar_split_clause,[],[f454,f1264,f1276,f1260,f1272,f1268]) ).

fof(f1272,plain,
    ( spl0_125
  <=> e1 = op(e2,op(e2,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f1276,plain,
    ( spl0_126
  <=> e3 = op(e1,op(e3,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f1264,plain,
    ( spl0_123
  <=> e0 = op(e1,op(e0,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f454,plain,
    ( e0 = op(e1,op(e0,e1))
    | e3 = op(e1,op(e3,e1))
    | e4 = op(e1,op(e4,e1))
    | e1 != op(e2,op(e2,e1))
    | e1 != op(e1,op(e1,e1)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2482,plain,
    ( spl0_61
    | ~ spl0_62
    | spl0_89
    | ~ spl0_86
    | spl0_64 ),
    inference(avatar_split_clause,[],[f478,f1003,f1099,f1111,f995,f991]) ).

fof(f991,plain,
    ( spl0_61
  <=> e0 = op(e2,op(e0,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f478,plain,
    ( e3 = op(e2,op(e3,e2))
    | e2 != op(e4,op(e4,e2))
    | e1 = op(e2,op(e1,e2))
    | e2 != op(e2,op(e2,e2))
    | e0 = op(e2,op(e0,e2)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2481,plain,
    ( ~ spl0_174
    | ~ spl0_84
    | ~ spl0_225
    | ~ spl0_185 ),
    inference(avatar_split_clause,[],[f284,f1557,f1770,f1090,f1503]) ).

fof(f1503,plain,
    ( spl0_174
  <=> e0 = op(op(e4,e4),op(e4,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f1770,plain,
    ( spl0_225
  <=> e3 = op(op(e4,op(e4,e4)),op(e4,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_225])]) ).

fof(f1557,plain,
    ( spl0_185
  <=> e2 = op(e4,op(e4,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).

fof(f284,plain,
    ( e2 != op(e4,op(e4,e4))
    | e3 != op(op(e4,op(e4,e4)),op(e4,e4))
    | e1 != op(e4,e4)
    | e0 != op(op(e4,e4),op(e4,e4)) ),
    inference(cnf_transformation,[],[f189]) ).

fof(f189,plain,
    ( e1 != op(e4,e4)
    | e0 != op(op(e4,e4),op(e4,e4))
    | e2 != op(e4,op(e4,e4))
    | e3 != op(op(e4,op(e4,e4)),op(e4,e4)) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,axiom,
    ~ ( e2 = op(e4,op(e4,e4))
      & e3 = op(op(e4,op(e4,e4)),op(e4,e4))
      & e1 = op(e4,e4)
      & e0 = op(op(e4,e4),op(e4,e4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax24) ).

fof(f2480,plain,
    ( ~ spl0_124
    | ~ spl0_125
    | ~ spl0_151
    | spl0_122
    | spl0_126 ),
    inference(avatar_split_clause,[],[f446,f1276,f1260,f1393,f1272,f1268]) ).

fof(f446,plain,
    ( e3 = op(e1,op(e3,e1))
    | e4 = op(e1,op(e4,e1))
    | e1 != op(e0,op(e0,e1))
    | e1 != op(e2,op(e2,e1))
    | e1 != op(e1,op(e1,e1)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2479,plain,
    ( spl0_3
    | spl0_2
    | spl0_41
    | spl0_170
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f566,f736,f1483,f897,f728,f732]) ).

fof(f566,plain,
    ( e3 != op(e0,op(e0,e3))
    | e2 = op(e3,op(e2,e3))
    | e1 = op(e3,op(e1,e3))
    | e3 = op(e3,op(e3,e3))
    | e4 = op(e3,op(e4,e3)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2478,plain,
    ~ spl0_334,
    inference(avatar_split_clause,[],[f391,f2475]) ).

fof(f2475,plain,
    ( spl0_334
  <=> op(e4,e1) = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_334])]) ).

fof(f391,plain,
    op(e4,e1) != op(e4,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f2473,plain,
    ( spl0_89
    | spl0_61
    | ~ spl0_62
    | spl0_64
    | spl0_63 ),
    inference(avatar_split_clause,[],[f494,f999,f1003,f995,f991,f1111]) ).

fof(f494,plain,
    ( e4 = op(e2,op(e4,e2))
    | e3 = op(e2,op(e3,e2))
    | e2 != op(e2,op(e2,e2))
    | e0 = op(e2,op(e0,e2))
    | e1 = op(e2,op(e1,e2)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2472,plain,
    ~ spl0_333,
    inference(avatar_split_clause,[],[f333,f2469]) ).

fof(f2469,plain,
    ( spl0_333
  <=> op(e2,e0) = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_333])]) ).

fof(f333,plain,
    op(e2,e0) != op(e2,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f2467,plain,
    ( spl0_152
    | spl0_123
    | spl0_124
    | ~ spl0_150
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f463,f1383,f1387,f1268,f1264,f1397]) ).

fof(f1387,plain,
    ( spl0_150
  <=> e1 = op(e4,op(e4,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f463,plain,
    ( e1 != op(e3,op(e3,e1))
    | e1 != op(e4,op(e4,e1))
    | e1 = op(e1,op(e1,e1))
    | e0 = op(e1,op(e0,e1))
    | e2 = op(e1,op(e2,e1)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2466,plain,
    ( spl0_212
    | spl0_28
    | spl0_222
    | spl0_183
    | spl0_80 ),
    inference(avatar_split_clause,[],[f667,f1072,f1548,f1752,f840,f1705]) ).

fof(f1705,plain,
    ( spl0_212
  <=> e3 = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_212])]) ).

fof(f840,plain,
    ( spl0_28
  <=> e3 = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f1752,plain,
    ( spl0_222
  <=> e3 = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_222])]) ).

fof(f1548,plain,
    ( spl0_183
  <=> e3 = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).

fof(f667,plain,
    ( e3 = op(e4,e4)
    | e3 = op(e4,e0)
    | e3 = op(e4,e1)
    | e3 = op(e4,e2)
    | e3 = op(e4,e3) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f2465,plain,
    ( spl0_33
    | spl0_45
    | ~ spl0_34
    | ~ spl0_32
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f514,f911,f857,f865,f915,f861]) ).

fof(f861,plain,
    ( spl0_33
  <=> e4 = op(e0,op(e4,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f514,plain,
    ( e0 != op(e1,op(e1,e0))
    | e0 != op(e0,op(e0,e0))
    | e0 != op(e3,op(e3,e0))
    | e2 = op(e0,op(e2,e0))
    | e4 = op(e0,op(e4,e0)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2464,plain,
    ( spl0_93
    | spl0_258
    | spl0_319
    | spl0_237
    | spl0_271 ),
    inference(avatar_split_clause,[],[f624,f2029,f1836,f2350,f1948,f1129]) ).

fof(f1948,plain,
    ( spl0_258
  <=> e2 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_258])]) ).

fof(f2350,plain,
    ( spl0_319
  <=> e2 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_319])]) ).

fof(f624,plain,
    ( e2 = op(e4,e1)
    | e2 = op(e3,e1)
    | e2 = op(e0,e1)
    | e2 = op(e2,e1)
    | e2 = op(e1,e1) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f2463,plain,
    ( ~ spl0_62
    | spl0_89
    | ~ spl0_88
    | spl0_63
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f500,f1103,f999,f1107,f1111,f995]) ).

fof(f500,plain,
    ( e2 != op(e0,op(e0,e2))
    | e4 = op(e2,op(e4,e2))
    | e2 != op(e3,op(e3,e2))
    | e1 = op(e2,op(e1,e2))
    | e2 != op(e2,op(e2,e2)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2462,plain,
    ( ~ spl0_95
    | ~ spl0_116
    | ~ spl0_159
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f419,f1142,f1430,f1233,f1138]) ).

fof(f1138,plain,
    ( spl0_95
  <=> e3 = op(op(e2,e2),op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f1233,plain,
    ( spl0_116
  <=> e1 = op(op(e2,op(e2,e2)),op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f1142,plain,
    ( spl0_96
  <=> e4 = op(e2,op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f419,plain,
    ( e4 != op(e2,op(e2,e2))
    | e0 != op(e2,e2)
    | e1 != op(op(e2,op(e2,e2)),op(e2,e2))
    | e3 != op(op(e2,e2),op(e2,e2)) ),
    inference(cnf_transformation,[],[f173]) ).

fof(f173,plain,
    ( e4 != op(e2,op(e2,e2))
    | e3 != op(op(e2,e2),op(e2,e2))
    | e1 != op(op(e2,op(e2,e2)),op(e2,e2))
    | e0 != op(e2,e2) ),
    inference(ennf_transformation,[],[f88]) ).

fof(f88,axiom,
    ~ ( e1 = op(op(e2,op(e2,e2)),op(e2,e2))
      & e4 = op(e2,op(e2,e2))
      & e0 = op(e2,e2)
      & e3 = op(op(e2,e2),op(e2,e2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax88) ).

fof(f2461,plain,
    ( spl0_49
    | ~ spl0_30
    | ~ spl0_44
    | ~ spl0_32
    | spl0_33 ),
    inference(avatar_split_clause,[],[f529,f861,f857,f911,f849,f934]) ).

fof(f529,plain,
    ( e4 = op(e0,op(e4,e0))
    | e0 != op(e0,op(e0,e0))
    | e0 != op(e1,op(e1,e0))
    | e0 != op(e2,op(e2,e0))
    | e3 = op(e0,op(e3,e0)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2460,plain,
    ~ spl0_332,
    inference(avatar_split_clause,[],[f403,f2457]) ).

fof(f2457,plain,
    ( spl0_332
  <=> op(e2,e3) = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_332])]) ).

fof(f403,plain,
    op(e2,e3) != op(e2,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f2455,plain,
    ( ~ spl0_185
    | ~ spl0_84
    | ~ spl0_67
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f684,f1013,f1017,f1090,f1557]) ).

fof(f1017,plain,
    ( spl0_67
  <=> e0 = op(op(e4,op(e4,e4)),op(e4,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f1013,plain,
    ( spl0_66
  <=> e3 = op(op(e4,e4),op(e4,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f684,plain,
    ( e3 != op(op(e4,e4),op(e4,e4))
    | e0 != op(op(e4,op(e4,e4)),op(e4,e4))
    | e1 != op(e4,e4)
    | e2 != op(e4,op(e4,e4)) ),
    inference(cnf_transformation,[],[f194]) ).

fof(f194,plain,
    ( e1 != op(e4,e4)
    | e0 != op(op(e4,op(e4,e4)),op(e4,e4))
    | e2 != op(e4,op(e4,e4))
    | e3 != op(op(e4,e4),op(e4,e4)) ),
    inference(ennf_transformation,[],[f84]) ).

fof(f84,axiom,
    ~ ( e1 = op(e4,e4)
      & e3 = op(op(e4,e4),op(e4,e4))
      & e2 = op(e4,op(e4,e4))
      & e0 = op(op(e4,op(e4,e4)),op(e4,e4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax84) ).

fof(f2454,plain,
    ~ spl0_331,
    inference(avatar_split_clause,[],[f365,f2451]) ).

fof(f2451,plain,
    ( spl0_331
  <=> op(e0,e1) = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_331])]) ).

fof(f365,plain,
    op(e0,e1) != op(e4,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f2449,plain,
    ( ~ spl0_43
    | spl0_170
    | spl0_42
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f536,f728,f724,f901,f1483,f906]) ).

fof(f536,plain,
    ( e3 != op(e3,op(e3,e3))
    | e3 != op(e1,op(e1,e3))
    | e0 = op(e3,op(e0,e3))
    | e2 = op(e3,op(e2,e3))
    | e3 != op(e4,op(e4,e3)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2448,plain,
    ( spl0_3
    | ~ spl0_1
    | spl0_170
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f542,f736,f728,f1483,f724,f732]) ).

fof(f542,plain,
    ( e3 != op(e0,op(e0,e3))
    | e3 != op(e3,op(e3,e3))
    | e2 = op(e3,op(e2,e3))
    | e3 != op(e1,op(e1,e3))
    | e4 = op(e3,op(e4,e3)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2447,plain,
    ( ~ spl0_32
    | ~ spl0_30
    | ~ spl0_34
    | ~ spl0_146
    | spl0_31 ),
    inference(avatar_split_clause,[],[f526,f853,f1368,f865,f849,f857]) ).

fof(f526,plain,
    ( e1 = op(e0,op(e1,e0))
    | e0 != op(e4,op(e4,e0))
    | e0 != op(e3,op(e3,e0))
    | e0 != op(e2,op(e2,e0))
    | e0 != op(e0,op(e0,e0)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2446,plain,
    ( ~ spl0_178
    | ~ spl0_225
    | ~ spl0_147
    | ~ spl0_185 ),
    inference(avatar_split_clause,[],[f689,f1557,f1374,f1770,f1523]) ).

fof(f1523,plain,
    ( spl0_178
  <=> e1 = op(op(e4,e4),op(e4,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).

fof(f689,plain,
    ( e2 != op(e4,op(e4,e4))
    | e0 != op(e4,e4)
    | e3 != op(op(e4,op(e4,e4)),op(e4,e4))
    | e1 != op(op(e4,e4),op(e4,e4)) ),
    inference(cnf_transformation,[],[f164]) ).

fof(f164,plain,
    ( e1 != op(op(e4,e4),op(e4,e4))
    | e0 != op(e4,e4)
    | e2 != op(e4,op(e4,e4))
    | e3 != op(op(e4,op(e4,e4)),op(e4,e4)) ),
    inference(ennf_transformation,[],[f48]) ).

fof(f48,axiom,
    ~ ( e0 = op(e4,e4)
      & e1 = op(op(e4,e4),op(e4,e4))
      & e3 = op(op(e4,op(e4,e4)),op(e4,e4))
      & e2 = op(e4,op(e4,e4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax48) ).

fof(f2445,plain,
    ~ spl0_330,
    inference(avatar_split_clause,[],[f353,f2442]) ).

fof(f2442,plain,
    ( spl0_330
  <=> op(e3,e0) = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_330])]) ).

fof(f353,plain,
    op(e3,e0) != op(e4,e0),
    inference(cnf_transformation,[],[f4]) ).

fof(f2440,plain,
    ~ spl0_329,
    inference(avatar_split_clause,[],[f332,f2437]) ).

fof(f2437,plain,
    ( spl0_329
  <=> op(e3,e0) = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_329])]) ).

fof(f332,plain,
    op(e3,e0) != op(e3,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f2435,plain,
    ( ~ spl0_88
    | ~ spl0_86
    | ~ spl0_62
    | spl0_61
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f475,f987,f991,f995,f1099,f1107]) ).

fof(f475,plain,
    ( e2 != op(e1,op(e1,e2))
    | e0 = op(e2,op(e0,e2))
    | e2 != op(e2,op(e2,e2))
    | e2 != op(e4,op(e4,e2))
    | e2 != op(e3,op(e3,e2)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2434,plain,
    ~ spl0_328,
    inference(avatar_split_clause,[],[f339,f2431]) ).

fof(f2431,plain,
    ( spl0_328
  <=> op(e2,e1) = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_328])]) ).

fof(f339,plain,
    op(e2,e1) != op(e2,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f2429,plain,
    ( ~ spl0_314
    | ~ spl0_109
    | ~ spl0_12
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f429,f766,f770,f1201,f2321]) ).

fof(f1201,plain,
    ( spl0_109
  <=> e4 = op(e3,op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f766,plain,
    ( spl0_11
  <=> e2 = op(op(e3,op(e3,e3)),op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f429,plain,
    ( e2 != op(op(e3,op(e3,e3)),op(e3,e3))
    | e0 != op(e3,e3)
    | e4 != op(e3,op(e3,e3))
    | e1 != op(op(e3,e3),op(e3,e3)) ),
    inference(cnf_transformation,[],[f238]) ).

fof(f238,plain,
    ( e4 != op(e3,op(e3,e3))
    | e0 != op(e3,e3)
    | e2 != op(op(e3,op(e3,e3)),op(e3,e3))
    | e1 != op(op(e3,e3),op(e3,e3)) ),
    inference(ennf_transformation,[],[f40]) ).

fof(f40,axiom,
    ~ ( e4 = op(e3,op(e3,e3))
      & e0 = op(e3,e3)
      & e2 = op(op(e3,op(e3,e3)),op(e3,e3))
      & e1 = op(op(e3,e3),op(e3,e3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax40) ).

fof(f2428,plain,
    ( ~ spl0_119
    | ~ spl0_74
    | ~ spl0_163
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f609,f1445,f1449,f1047,f1246]) ).

fof(f1246,plain,
    ( spl0_119
  <=> e4 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f1047,plain,
    ( spl0_74
  <=> e2 = op(op(e1,e1),op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f1449,plain,
    ( spl0_163
  <=> e3 = op(e1,op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f609,plain,
    ( e0 != op(op(e1,op(e1,e1)),op(e1,e1))
    | e3 != op(e1,op(e1,e1))
    | e2 != op(op(e1,e1),op(e1,e1))
    | e4 != op(e1,e1) ),
    inference(cnf_transformation,[],[f175]) ).

fof(f175,plain,
    ( e4 != op(e1,e1)
    | e2 != op(op(e1,e1),op(e1,e1))
    | e3 != op(e1,op(e1,e1))
    | e0 != op(op(e1,op(e1,e1)),op(e1,e1)) ),
    inference(ennf_transformation,[],[f55]) ).

fof(f55,axiom,
    ~ ( e4 = op(e1,e1)
      & e3 = op(e1,op(e1,e1))
      & e0 = op(op(e1,op(e1,e1)),op(e1,e1))
      & e2 = op(op(e1,e1),op(e1,e1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax55) ).

fof(f2427,plain,
    ( ~ spl0_15
    | ~ spl0_109
    | ~ spl0_314
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f248,f1197,f2321,f1201,f783]) ).

fof(f248,plain,
    ( e2 != op(e3,e3)
    | e1 != op(op(e3,e3),op(e3,e3))
    | e4 != op(e3,op(e3,e3))
    | e0 != op(op(e3,op(e3,e3)),op(e3,e3)) ),
    inference(cnf_transformation,[],[f200]) ).

fof(f200,plain,
    ( e4 != op(e3,op(e3,e3))
    | e0 != op(op(e3,op(e3,e3)),op(e3,e3))
    | e2 != op(e3,e3)
    | e1 != op(op(e3,e3),op(e3,e3)) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f34,axiom,
    ~ ( e1 = op(op(e3,e3),op(e3,e3))
      & e4 = op(e3,op(e3,e3))
      & e0 = op(op(e3,op(e3,e3)),op(e3,e3))
      & e2 = op(e3,e3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax34) ).

fof(f2426,plain,
    ( ~ spl0_150
    | spl0_126
    | spl0_124
    | spl0_123
    | spl0_152 ),
    inference(avatar_split_clause,[],[f464,f1397,f1264,f1268,f1276,f1387]) ).

fof(f464,plain,
    ( e2 = op(e1,op(e2,e1))
    | e0 = op(e1,op(e0,e1))
    | e1 = op(e1,op(e1,e1))
    | e3 = op(e1,op(e3,e1))
    | e1 != op(e4,op(e4,e1)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2425,plain,
    ( ~ spl0_200
    | ~ spl0_195
    | ~ spl0_134
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f603,f1241,f1312,f1608,f1637]) ).

fof(f1608,plain,
    ( spl0_195
  <=> e4 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_195])]) ).

fof(f1312,plain,
    ( spl0_134
  <=> e3 = op(op(e2,op(e2,e2)),op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f1241,plain,
    ( spl0_118
  <=> e0 = op(e2,op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f603,plain,
    ( e0 != op(e2,op(e2,e2))
    | e3 != op(op(e2,op(e2,e2)),op(e2,e2))
    | e4 != op(e2,e2)
    | e1 != op(op(e2,e2),op(e2,e2)) ),
    inference(cnf_transformation,[],[f217]) ).

fof(f217,plain,
    ( e1 != op(op(e2,e2),op(e2,e2))
    | e0 != op(e2,op(e2,e2))
    | e3 != op(op(e2,op(e2,e2)),op(e2,e2))
    | e4 != op(e2,e2) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f45,axiom,
    ~ ( e4 = op(e2,e2)
      & e0 = op(e2,op(e2,e2))
      & e3 = op(op(e2,op(e2,e2)),op(e2,e2))
      & e1 = op(op(e2,e2),op(e2,e2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax45) ).

fof(f2424,plain,
    ( spl0_270
    | spl0_285
    | spl0_164
    | spl0_147
    | spl0_29 ),
    inference(avatar_split_clause,[],[f634,f844,f1374,f1454,f2122,f2025]) ).

fof(f2025,plain,
    ( spl0_270
  <=> e0 = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_270])]) ).

fof(f2122,plain,
    ( spl0_285
  <=> e0 = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_285])]) ).

fof(f1454,plain,
    ( spl0_164
  <=> e0 = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f844,plain,
    ( spl0_29
  <=> e0 = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f634,plain,
    ( e0 = op(e4,e2)
    | e0 = op(e4,e4)
    | e0 = op(e4,e0)
    | e0 = op(e4,e3)
    | e0 = op(e4,e1) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f2423,plain,
    ( spl0_202
    | spl0_85
    | spl0_130
    | spl0_7
    | spl0_265 ),
    inference(avatar_split_clause,[],[f662,f1998,f749,f1295,f1094,f1648]) ).

fof(f1648,plain,
    ( spl0_202
  <=> e1 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_202])]) ).

fof(f1094,plain,
    ( spl0_85
  <=> e1 = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f1295,plain,
    ( spl0_130
  <=> e1 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f749,plain,
    ( spl0_7
  <=> e1 = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f662,plain,
    ( e1 = op(e2,e1)
    | e1 = op(e2,e2)
    | e1 = op(e2,e0)
    | e1 = op(e2,e4)
    | e1 = op(e2,e3) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f2422,plain,
    ( ~ spl0_150
    | ~ spl0_149
    | spl0_152
    | ~ spl0_124
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f459,f1393,f1268,f1397,f1383,f1387]) ).

fof(f459,plain,
    ( e1 != op(e0,op(e0,e1))
    | e1 != op(e1,op(e1,e1))
    | e2 = op(e1,op(e2,e1))
    | e1 != op(e3,op(e3,e1))
    | e1 != op(e4,op(e4,e1)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2421,plain,
    ~ spl0_327,
    inference(avatar_split_clause,[],[f355,f2418]) ).

fof(f2418,plain,
    ( spl0_327
  <=> op(e2,e2) = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_327])]) ).

fof(f355,plain,
    op(e2,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f2416,plain,
    ~ spl0_326,
    inference(avatar_split_clause,[],[f364,f2413]) ).

fof(f2413,plain,
    ( spl0_326
  <=> op(e2,e2) = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_326])]) ).

fof(f364,plain,
    op(e2,e2) != op(e4,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f2411,plain,
    ( spl0_2
    | spl0_41
    | spl0_42
    | ~ spl0_43
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f559,f740,f906,f901,f897,f728]) ).

fof(f559,plain,
    ( e3 != op(e2,op(e2,e3))
    | e3 != op(e4,op(e4,e3))
    | e0 = op(e3,op(e0,e3))
    | e1 = op(e3,op(e1,e3))
    | e3 = op(e3,op(e3,e3)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2410,plain,
    ( ~ spl0_120
    | ~ spl0_188
    | ~ spl0_10
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f305,f783,f762,f1575,f1251]) ).

fof(f762,plain,
    ( spl0_10
  <=> e4 = op(op(e3,e3),op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f305,plain,
    ( e0 != op(op(e3,op(e3,e3)),op(e3,e3))
    | e4 != op(op(e3,e3),op(e3,e3))
    | e2 != op(e3,op(e3,e3))
    | e1 != op(e3,e3) ),
    inference(cnf_transformation,[],[f188]) ).

fof(f188,plain,
    ( e0 != op(op(e3,op(e3,e3)),op(e3,e3))
    | e2 != op(e3,op(e3,e3))
    | e4 != op(op(e3,e3),op(e3,e3))
    | e1 != op(e3,e3) ),
    inference(ennf_transformation,[],[f108]) ).

fof(f108,axiom,
    ~ ( e1 = op(e3,e3)
      & e2 = op(e3,op(e3,e3))
      & e4 = op(op(e3,e3),op(e3,e3))
      & e0 = op(op(e3,op(e3,e3)),op(e3,e3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax108) ).

fof(f2409,plain,
    ( spl0_221
    | spl0_268
    | spl0_229
    | spl0_253
    | spl0_319 ),
    inference(avatar_split_clause,[],[f262,f2350,f1922,f1793,f2016,f1748]) ).

fof(f1748,plain,
    ( spl0_221
  <=> e3 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_221])]) ).

fof(f2016,plain,
    ( spl0_268
  <=> e0 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_268])]) ).

fof(f1793,plain,
    ( spl0_229
  <=> e4 = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_229])]) ).

fof(f262,plain,
    ( e2 = op(e0,e1)
    | e1 = op(e0,e1)
    | e4 = op(e0,e1)
    | e0 = op(e0,e1)
    | e3 = op(e0,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f2408,plain,
    ( ~ spl0_125
    | ~ spl0_150
    | ~ spl0_149
    | ~ spl0_124
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f443,f1393,f1268,f1383,f1387,f1272]) ).

fof(f443,plain,
    ( e1 != op(e0,op(e0,e1))
    | e1 != op(e1,op(e1,e1))
    | e1 != op(e3,op(e3,e1))
    | e1 != op(e4,op(e4,e1))
    | e1 != op(e2,op(e2,e1)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2407,plain,
    ( ~ spl0_32
    | ~ spl0_34
    | spl0_33
    | ~ spl0_30
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f530,f911,f849,f861,f865,f857]) ).

fof(f530,plain,
    ( e0 != op(e1,op(e1,e0))
    | e0 != op(e2,op(e2,e0))
    | e4 = op(e0,op(e4,e0))
    | e0 != op(e3,op(e3,e0))
    | e0 != op(e0,op(e0,e0)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2406,plain,
    ( spl0_241
    | spl0_254
    | spl0_295
    | spl0_57
    | spl0_184 ),
    inference(avatar_split_clause,[],[f654,f1552,f973,f2202,f1927,f1857]) ).

fof(f1927,plain,
    ( spl0_254
  <=> e4 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_254])]) ).

fof(f2202,plain,
    ( spl0_295
  <=> e4 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_295])]) ).

fof(f1552,plain,
    ( spl0_184
  <=> e4 = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).

fof(f654,plain,
    ( e4 = op(e4,e0)
    | op(e0,e0) = e4
    | e4 = op(e2,e0)
    | e4 = op(e3,e0)
    | e4 = op(e1,e0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f2405,plain,
    ~ spl0_325,
    inference(avatar_split_clause,[],[f366,f2402]) ).

fof(f2402,plain,
    ( spl0_325
  <=> op(e2,e2) = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_325])]) ).

fof(f366,plain,
    op(e2,e2) != op(e2,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f2400,plain,
    ( ~ spl0_47
    | ~ spl0_100
    | ~ spl0_20
    | spl0_22
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f579,f819,f815,f807,f1162,f925]) ).

fof(f579,plain,
    ( e4 != op(e0,op(e0,e4))
    | e2 = op(e4,op(e2,e4))
    | e4 != op(e4,op(e4,e4))
    | e4 != op(e1,op(e1,e4))
    | e4 != op(e3,op(e3,e4)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2399,plain,
    ~ spl0_324,
    inference(avatar_split_clause,[],[f375,f2396]) ).

fof(f2396,plain,
    ( spl0_324
  <=> op(e1,e1) = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_324])]) ).

fof(f375,plain,
    op(e1,e1) != op(e1,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f2394,plain,
    ( ~ spl0_119
    | ~ spl0_92
    | ~ spl0_90
    | ~ spl0_262 ),
    inference(avatar_split_clause,[],[f414,f1968,f1116,f1125,f1246]) ).

fof(f414,plain,
    ( e2 != op(op(e1,op(e1,e1)),op(e1,e1))
    | e3 != op(op(e1,e1),op(e1,e1))
    | e0 != op(e1,op(e1,e1))
    | e4 != op(e1,e1) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f127,plain,
    ( e3 != op(op(e1,e1),op(e1,e1))
    | e0 != op(e1,op(e1,e1))
    | e4 != op(e1,e1)
    | e2 != op(op(e1,op(e1,e1)),op(e1,e1)) ),
    inference(ennf_transformation,[],[f93]) ).

fof(f93,axiom,
    ~ ( e3 = op(op(e1,e1),op(e1,e1))
      & e0 = op(e1,op(e1,e1))
      & e2 = op(op(e1,op(e1,e1)),op(e1,e1))
      & e4 = op(e1,e1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax93) ).

fof(f2393,plain,
    ( spl0_41
    | ~ spl0_43
    | spl0_2
    | ~ spl0_4
    | spl0_170 ),
    inference(avatar_split_clause,[],[f564,f1483,f736,f728,f906,f897]) ).

fof(f564,plain,
    ( e2 = op(e3,op(e2,e3))
    | e3 != op(e0,op(e0,e3))
    | e3 = op(e3,op(e3,e3))
    | e3 != op(e4,op(e4,e3))
    | e1 = op(e3,op(e1,e3)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2392,plain,
    ( ~ spl0_91
    | ~ spl0_141
    | ~ spl0_74
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f410,f1125,f1047,f1343,f1120]) ).

fof(f1120,plain,
    ( spl0_91
  <=> e4 = op(op(e1,op(e1,e1)),op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f410,plain,
    ( e0 != op(e1,op(e1,e1))
    | e2 != op(op(e1,e1),op(e1,e1))
    | e3 != op(e1,e1)
    | e4 != op(op(e1,op(e1,e1)),op(e1,e1)) ),
    inference(cnf_transformation,[],[f160]) ).

fof(f160,plain,
    ( e0 != op(e1,op(e1,e1))
    | e2 != op(op(e1,e1),op(e1,e1))
    | e4 != op(op(e1,op(e1,e1)),op(e1,e1))
    | e3 != op(e1,e1) ),
    inference(ennf_transformation,[],[f75]) ).

fof(f75,axiom,
    ~ ( e4 = op(op(e1,op(e1,e1)),op(e1,e1))
      & e2 = op(op(e1,e1),op(e1,e1))
      & e0 = op(e1,op(e1,e1))
      & e3 = op(e1,e1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax75) ).

fof(f2391,plain,
    ( ~ spl0_149
    | ~ spl0_125
    | ~ spl0_124
    | spl0_122
    | spl0_123 ),
    inference(avatar_split_clause,[],[f453,f1264,f1260,f1268,f1272,f1383]) ).

fof(f453,plain,
    ( e0 = op(e1,op(e0,e1))
    | e4 = op(e1,op(e4,e1))
    | e1 != op(e1,op(e1,e1))
    | e1 != op(e2,op(e2,e1))
    | e1 != op(e3,op(e3,e1)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2390,plain,
    ( ~ spl0_40
    | spl0_21
    | ~ spl0_47
    | spl0_48
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f593,f807,f929,f925,f811,f892]) ).

fof(f929,plain,
    ( spl0_48
  <=> e0 = op(e4,op(e0,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f593,plain,
    ( e4 != op(e4,op(e4,e4))
    | e0 = op(e4,op(e0,e4))
    | e4 != op(e3,op(e3,e4))
    | e1 = op(e4,op(e1,e4))
    | e4 != op(e2,op(e2,e4)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2389,plain,
    ~ spl0_323,
    inference(avatar_split_clause,[],[f374,f2386]) ).

fof(f2386,plain,
    ( spl0_323
  <=> op(e0,e3) = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_323])]) ).

fof(f374,plain,
    op(e0,e3) != op(e4,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f2384,plain,
    ( spl0_122
    | spl0_124
    | ~ spl0_125
    | ~ spl0_151
    | spl0_126 ),
    inference(avatar_split_clause,[],[f442,f1276,f1393,f1272,f1268,f1260]) ).

fof(f442,plain,
    ( e3 = op(e1,op(e3,e1))
    | e1 != op(e0,op(e0,e1))
    | e1 != op(e2,op(e2,e1))
    | e1 = op(e1,op(e1,e1))
    | e4 = op(e1,op(e4,e1)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2383,plain,
    ( spl0_16
    | spl0_318
    | spl0_230
    | spl0_242
    | spl0_211 ),
    inference(avatar_split_clause,[],[f657,f1694,f1861,f1797,f2344,f787]) ).

fof(f2344,plain,
    ( spl0_318
  <=> e4 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_318])]) ).

fof(f1797,plain,
    ( spl0_230
  <=> e4 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_230])]) ).

fof(f1694,plain,
    ( spl0_211
  <=> e4 = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_211])]) ).

fof(f657,plain,
    ( e4 = op(e4,e3)
    | e4 = op(e1,e3)
    | e4 = op(e0,e3)
    | e4 = op(e2,e3)
    | e4 = op(e3,e3) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f2382,plain,
    ( spl0_20
    | spl0_24
    | ~ spl0_23
    | ~ spl0_100
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f568,f892,f1162,f819,f823,f807]) ).

fof(f823,plain,
    ( spl0_24
  <=> e3 = op(e4,op(e3,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f568,plain,
    ( e4 != op(e2,op(e2,e4))
    | e4 != op(e1,op(e1,e4))
    | e4 != op(e0,op(e0,e4))
    | e3 = op(e4,op(e3,e4))
    | e4 = op(e4,op(e4,e4)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2381,plain,
    ~ spl0_322,
    inference(avatar_split_clause,[],[f367,f2378]) ).

fof(f2378,plain,
    ( spl0_322
  <=> op(e0,e0) = op(e1,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_322])]) ).

fof(f367,plain,
    op(e0,e0) != op(e1,e0),
    inference(cnf_transformation,[],[f4]) ).

fof(f2376,plain,
    ( ~ spl0_95
    | ~ spl0_94
    | ~ spl0_195
    | ~ spl0_207 ),
    inference(avatar_split_clause,[],[f703,f1673,f1608,f1134,f1138]) ).

fof(f703,plain,
    ( e1 != op(e2,op(e2,e2))
    | e4 != op(e2,e2)
    | e0 != op(op(e2,op(e2,e2)),op(e2,e2))
    | e3 != op(op(e2,e2),op(e2,e2)) ),
    inference(cnf_transformation,[],[f210]) ).

fof(f210,plain,
    ( e3 != op(op(e2,e2),op(e2,e2))
    | e1 != op(e2,op(e2,e2))
    | e4 != op(e2,e2)
    | e0 != op(op(e2,op(e2,e2)),op(e2,e2)) ),
    inference(ennf_transformation,[],[f81]) ).

fof(f81,axiom,
    ~ ( e4 = op(e2,e2)
      & e3 = op(op(e2,e2),op(e2,e2))
      & e1 = op(e2,op(e2,e2))
      & e0 = op(op(e2,op(e2,e2)),op(e2,e2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax81) ).

fof(f2375,plain,
    ( spl0_33
    | spl0_31
    | spl0_45
    | spl0_49
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f517,f857,f934,f915,f853,f861]) ).

fof(f517,plain,
    ( e0 != op(e0,op(e0,e0))
    | e3 = op(e0,op(e3,e0))
    | e2 = op(e0,op(e2,e0))
    | e1 = op(e0,op(e1,e0))
    | e4 = op(e0,op(e4,e0)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2374,plain,
    ( spl0_254
    | spl0_71
    | spl0_273
    | spl0_234
    | spl0_131 ),
    inference(avatar_split_clause,[],[f273,f1299,f1821,f2038,f1034,f1927]) ).

fof(f1034,plain,
    ( spl0_71
  <=> e0 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f1821,plain,
    ( spl0_234
  <=> e3 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_234])]) ).

fof(f1299,plain,
    ( spl0_131
  <=> e1 = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f273,plain,
    ( e1 = op(e3,e0)
    | e3 = op(e3,e0)
    | e2 = op(e3,e0)
    | e0 = op(e3,e0)
    | e4 = op(e3,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f2373,plain,
    ( ~ spl0_159
    | ~ spl0_117
    | ~ spl0_207
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f300,f1312,f1673,f1237,f1430]) ).

fof(f300,plain,
    ( e3 != op(op(e2,op(e2,e2)),op(e2,e2))
    | e1 != op(e2,op(e2,e2))
    | e4 != op(op(e2,e2),op(e2,e2))
    | e0 != op(e2,e2) ),
    inference(cnf_transformation,[],[f131]) ).

fof(f131,plain,
    ( e1 != op(e2,op(e2,e2))
    | e0 != op(e2,e2)
    | e4 != op(op(e2,e2),op(e2,e2))
    | e3 != op(op(e2,op(e2,e2)),op(e2,e2)) ),
    inference(ennf_transformation,[],[f126]) ).

fof(f126,axiom,
    ~ ( e1 = op(e2,op(e2,e2))
      & e4 = op(op(e2,e2),op(e2,e2))
      & e3 = op(op(e2,op(e2,e2)),op(e2,e2))
      & e0 = op(e2,e2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax126) ).

fof(f2372,plain,
    ~ spl0_321,
    inference(avatar_split_clause,[],[f348,f2369]) ).

fof(f2369,plain,
    ( spl0_321
  <=> op(e4,e1) = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_321])]) ).

fof(f348,plain,
    op(e4,e1) != op(e4,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f2367,plain,
    ( ~ spl0_151
    | spl0_124
    | spl0_126
    | ~ spl0_150
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f440,f1272,f1387,f1276,f1268,f1393]) ).

fof(f440,plain,
    ( e1 != op(e2,op(e2,e1))
    | e1 != op(e4,op(e4,e1))
    | e3 = op(e1,op(e3,e1))
    | e1 = op(e1,op(e1,e1))
    | e1 != op(e0,op(e0,e1)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2366,plain,
    ( spl0_238
    | spl0_210
    | spl0_266
    | spl0_229
    | spl0_119 ),
    inference(avatar_split_clause,[],[f669,f1246,f1793,f2002,f1690,f1840]) ).

fof(f1840,plain,
    ( spl0_238
  <=> e4 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_238])]) ).

fof(f1690,plain,
    ( spl0_210
  <=> e4 = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_210])]) ).

fof(f2002,plain,
    ( spl0_266
  <=> e4 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_266])]) ).

fof(f669,plain,
    ( e4 = op(e1,e1)
    | e4 = op(e0,e1)
    | e4 = op(e2,e1)
    | e4 = op(e4,e1)
    | e4 = op(e3,e1) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f2365,plain,
    ( ~ spl0_175
    | ~ spl0_232
    | ~ spl0_133
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f722,f1363,f1307,f1808,f1509]) ).

fof(f1509,plain,
    ( spl0_175
  <=> e4 = op(op(e0,e0),op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f722,plain,
    ( e3 != op(e0,op(e0,e0))
    | op(e0,e0) != e1
    | e2 != op(op(e0,op(e0,e0)),op(e0,e0))
    | e4 != op(op(e0,e0),op(e0,e0)) ),
    inference(cnf_transformation,[],[f179]) ).

fof(f179,plain,
    ( op(e0,e0) != e1
    | e4 != op(op(e0,e0),op(e0,e0))
    | e3 != op(e0,op(e0,e0))
    | e2 != op(op(e0,op(e0,e0)),op(e0,e0)) ),
    inference(ennf_transformation,[],[f116]) ).

fof(f116,axiom,
    ~ ( op(e0,e0) = e1
      & e4 = op(op(e0,e0),op(e0,e0))
      & e3 = op(e0,op(e0,e0))
      & e2 = op(op(e0,op(e0,e0)),op(e0,e0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax116) ).

fof(f2364,plain,
    ( ~ spl0_16
    | ~ spl0_107
    | ~ spl0_106
    | ~ spl0_188 ),
    inference(avatar_split_clause,[],[f288,f1575,f1189,f1193,f787]) ).

fof(f1193,plain,
    ( spl0_107
  <=> e1 = op(op(e3,op(e3,e3)),op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f288,plain,
    ( e2 != op(e3,op(e3,e3))
    | e0 != op(op(e3,e3),op(e3,e3))
    | e1 != op(op(e3,op(e3,e3)),op(e3,e3))
    | e4 != op(e3,e3) ),
    inference(cnf_transformation,[],[f190]) ).

fof(f190,plain,
    ( e4 != op(e3,e3)
    | e1 != op(op(e3,op(e3,e3)),op(e3,e3))
    | e2 != op(e3,op(e3,e3))
    | e0 != op(op(e3,e3),op(e3,e3)) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ~ ( e0 = op(op(e3,e3),op(e3,e3))
      & e1 = op(op(e3,op(e3,e3)),op(e3,e3))
      & e2 = op(e3,op(e3,e3))
      & e4 = op(e3,e3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9) ).

fof(f2363,plain,
    ( ~ spl0_52
    | ~ spl0_141
    | ~ spl0_54
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f424,f1445,f956,f1343,f948]) ).

fof(f956,plain,
    ( spl0_54
  <=> e2 = op(e1,op(e1,e1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f424,plain,
    ( e0 != op(op(e1,op(e1,e1)),op(e1,e1))
    | e2 != op(e1,op(e1,e1))
    | e3 != op(e1,e1)
    | e4 != op(op(e1,e1),op(e1,e1)) ),
    inference(cnf_transformation,[],[f224]) ).

fof(f224,plain,
    ( e2 != op(e1,op(e1,e1))
    | e3 != op(e1,e1)
    | e0 != op(op(e1,op(e1,e1)),op(e1,e1))
    | e4 != op(op(e1,e1),op(e1,e1)) ),
    inference(ennf_transformation,[],[f103]) ).

fof(f103,axiom,
    ~ ( e2 = op(e1,op(e1,e1))
      & e3 = op(e1,e1)
      & e0 = op(op(e1,op(e1,e1)),op(e1,e1))
      & e4 = op(op(e1,e1),op(e1,e1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax103) ).

fof(f2362,plain,
    ~ spl0_320,
    inference(avatar_split_clause,[],[f315,f2359]) ).

fof(f2359,plain,
    ( spl0_320
  <=> op(e2,e2) = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_320])]) ).

fof(f315,plain,
    op(e2,e2) != op(e2,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f2357,plain,
    ( spl0_3
    | ~ spl0_2
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f541,f736,f740,f724,f728,f732]) ).

fof(f541,plain,
    ( e3 != op(e0,op(e0,e3))
    | e3 != op(e2,op(e2,e3))
    | e3 != op(e1,op(e1,e3))
    | e3 != op(e3,op(e3,e3))
    | e4 = op(e3,op(e4,e3)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2356,plain,
    ( spl0_85
    | spl0_78
    | spl0_255
    | spl0_192
    | spl0_156 ),
    inference(avatar_split_clause,[],[f270,f1416,f1595,f1936,f1064,f1094]) ).

fof(f1936,plain,
    ( spl0_255
  <=> e2 = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_255])]) ).

fof(f1595,plain,
    ( spl0_192
  <=> e0 = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_192])]) ).

fof(f1416,plain,
    ( spl0_156
  <=> e4 = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f270,plain,
    ( e4 = op(e2,e4)
    | e0 = op(e2,e4)
    | e2 = op(e2,e4)
    | e3 = op(e2,e4)
    | e1 = op(e2,e4) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f2355,plain,
    ( ~ spl0_231
    | ~ spl0_37
    | ~ spl0_39
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f681,f1359,f887,f879,f1804]) ).

fof(f1804,plain,
    ( spl0_231
  <=> e4 = op(e0,op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_231])]) ).

fof(f887,plain,
    ( spl0_39
  <=> e2 = op(op(e0,e0),op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f1359,plain,
    ( spl0_144
  <=> e1 = op(op(e0,op(e0,e0)),op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f681,plain,
    ( e1 != op(op(e0,op(e0,e0)),op(e0,e0))
    | e2 != op(op(e0,e0),op(e0,e0))
    | op(e0,e0) != e3
    | e4 != op(e0,op(e0,e0)) ),
    inference(cnf_transformation,[],[f231]) ).

fof(f231,plain,
    ( e2 != op(op(e0,e0),op(e0,e0))
    | op(e0,e0) != e3
    | e4 != op(e0,op(e0,e0))
    | e1 != op(op(e0,op(e0,e0)),op(e0,e0)) ),
    inference(ennf_transformation,[],[f62]) ).

fof(f62,axiom,
    ~ ( e2 = op(op(e0,e0),op(e0,e0))
      & op(e0,e0) = e3
      & e1 = op(op(e0,op(e0,e0)),op(e0,e0))
      & e4 = op(e0,op(e0,e0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax62) ).

fof(f2354,plain,
    ( ~ spl0_133
    | ~ spl0_36
    | ~ spl0_39
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f673,f1363,f887,f875,f1307]) ).

fof(f673,plain,
    ( e3 != op(e0,op(e0,e0))
    | e2 != op(op(e0,e0),op(e0,e0))
    | e4 != op(op(e0,op(e0,e0)),op(e0,e0))
    | op(e0,e0) != e1 ),
    inference(cnf_transformation,[],[f141]) ).

fof(f141,plain,
    ( e2 != op(op(e0,e0),op(e0,e0))
    | e4 != op(op(e0,op(e0,e0)),op(e0,e0))
    | op(e0,e0) != e1
    | e3 != op(e0,op(e0,e0)) ),
    inference(ennf_transformation,[],[f74]) ).

fof(f74,axiom,
    ~ ( e4 = op(op(e0,op(e0,e0)),op(e0,e0))
      & e3 = op(e0,op(e0,e0))
      & op(e0,e0) = e1
      & e2 = op(op(e0,e0),op(e0,e0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax74) ).

fof(f2353,plain,
    ( spl0_180
    | spl0_248
    | spl0_102
    | spl0_319
    | spl0_176 ),
    inference(avatar_split_clause,[],[f648,f1513,f2350,f1171,f1896,f1532]) ).

fof(f1532,plain,
    ( spl0_180
  <=> e2 = op(e0,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).

fof(f1896,plain,
    ( spl0_248
  <=> e2 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_248])]) ).

fof(f648,plain,
    ( op(e0,e0) = e2
    | e2 = op(e0,e1)
    | e2 = op(e0,e2)
    | e2 = op(e0,e3)
    | e2 = op(e0,e4) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f2348,plain,
    ( spl0_191
    | spl0_259
    | spl0_318
    | spl0_202
    | spl0_214 ),
    inference(avatar_split_clause,[],[f275,f1713,f1648,f2344,f1952,f1591]) ).

fof(f1591,plain,
    ( spl0_191
  <=> e0 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_191])]) ).

fof(f1952,plain,
    ( spl0_259
  <=> e2 = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_259])]) ).

fof(f275,plain,
    ( e3 = op(e2,e3)
    | e1 = op(e2,e3)
    | e4 = op(e2,e3)
    | e2 = op(e2,e3)
    | e0 = op(e2,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f2347,plain,
    ( spl0_295
    | spl0_195
    | spl0_156
    | spl0_318
    | spl0_266 ),
    inference(avatar_split_clause,[],[f627,f2002,f2344,f1416,f1608,f2202]) ).

fof(f627,plain,
    ( e4 = op(e2,e1)
    | e4 = op(e2,e3)
    | e4 = op(e2,e4)
    | e4 = op(e2,e2)
    | e4 = op(e2,e0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f2342,plain,
    spl0_317,
    inference(avatar_split_clause,[],[f697,f2339]) ).

fof(f2339,plain,
    ( spl0_317
  <=> e0 = op(unit,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_317])]) ).

fof(f697,plain,
    e0 = op(unit,e0),
    inference(cnf_transformation,[],[f2]) ).

fof(f2337,plain,
    ( ~ spl0_44
    | spl0_45
    | ~ spl0_32
    | ~ spl0_34
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f506,f1368,f865,f857,f915,f911]) ).

fof(f506,plain,
    ( e0 != op(e4,op(e4,e0))
    | e0 != op(e3,op(e3,e0))
    | e0 != op(e0,op(e0,e0))
    | e2 = op(e0,op(e2,e0))
    | e0 != op(e1,op(e1,e0)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2336,plain,
    ( ~ spl0_88
    | spl0_89
    | spl0_61
    | ~ spl0_86
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f476,f995,f1099,f991,f1111,f1107]) ).

fof(f476,plain,
    ( e2 != op(e2,op(e2,e2))
    | e2 != op(e4,op(e4,e2))
    | e0 = op(e2,op(e0,e2))
    | e1 = op(e2,op(e1,e2))
    | e2 != op(e3,op(e3,e2)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2335,plain,
    ~ spl0_316,
    inference(avatar_split_clause,[],[f614,f2332]) ).

fof(f2332,plain,
    ( spl0_316
  <=> e1 = e3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_316])]) ).

fof(f614,plain,
    e1 != e3,
    inference(cnf_transformation,[],[f5]) ).

fof(f2330,plain,
    ~ spl0_315,
    inference(avatar_split_clause,[],[f317,f2327]) ).

fof(f2327,plain,
    ( spl0_315
  <=> op(e0,e3) = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_315])]) ).

fof(f317,plain,
    op(e0,e3) != op(e1,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f2325,plain,
    ( spl0_285
    | spl0_276
    | spl0_211
    | spl0_201
    | spl0_212 ),
    inference(avatar_split_clause,[],[f267,f1705,f1644,f1694,f2055,f2122]) ).

fof(f1644,plain,
    ( spl0_201
  <=> e1 = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_201])]) ).

fof(f267,plain,
    ( e3 = op(e4,e3)
    | e1 = op(e4,e3)
    | e4 = op(e4,e3)
    | e2 = op(e4,e3)
    | e0 = op(e4,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f2324,plain,
    ( ~ spl0_314
    | ~ spl0_16
    | ~ spl0_11
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f250,f1255,f766,f787,f2321]) ).

fof(f250,plain,
    ( e0 != op(e3,op(e3,e3))
    | e2 != op(op(e3,op(e3,e3)),op(e3,e3))
    | e4 != op(e3,e3)
    | e1 != op(op(e3,e3),op(e3,e3)) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f133,plain,
    ( e0 != op(e3,op(e3,e3))
    | e2 != op(op(e3,op(e3,e3)),op(e3,e3))
    | e4 != op(e3,e3)
    | e1 != op(op(e3,e3),op(e3,e3)) ),
    inference(ennf_transformation,[],[f39]) ).

fof(f39,axiom,
    ~ ( e4 = op(e3,e3)
      & e1 = op(op(e3,e3),op(e3,e3))
      & e0 = op(e3,op(e3,e3))
      & e2 = op(op(e3,op(e3,e3)),op(e3,e3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax39) ).

fof(f2319,plain,
    ( ~ spl0_66
    | ~ spl0_68
    | ~ spl0_111
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f280,f1206,f1210,f1021,f1013]) ).

fof(f1210,plain,
    ( spl0_111
  <=> e1 = op(op(e4,op(e4,e4)),op(e4,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f1206,plain,
    ( spl0_110
  <=> e0 = op(e4,op(e4,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f280,plain,
    ( e0 != op(e4,op(e4,e4))
    | e1 != op(op(e4,op(e4,e4)),op(e4,e4))
    | e2 != op(e4,e4)
    | e3 != op(op(e4,e4),op(e4,e4)) ),
    inference(cnf_transformation,[],[f183]) ).

fof(f183,plain,
    ( e1 != op(op(e4,op(e4,e4)),op(e4,e4))
    | e3 != op(op(e4,e4),op(e4,e4))
    | e0 != op(e4,op(e4,e4))
    | e2 != op(e4,e4) ),
    inference(ennf_transformation,[],[f89]) ).

fof(f89,axiom,
    ~ ( e1 = op(op(e4,op(e4,e4)),op(e4,e4))
      & e3 = op(op(e4,e4),op(e4,e4))
      & e2 = op(e4,e4)
      & e0 = op(e4,op(e4,e4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax89) ).

fof(f2318,plain,
    ( ~ spl0_8
    | ~ spl0_94
    | ~ spl0_7
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f282,f1237,f749,f1134,f753]) ).

fof(f282,plain,
    ( e4 != op(op(e2,e2),op(e2,e2))
    | e1 != op(e2,e2)
    | e0 != op(op(e2,op(e2,e2)),op(e2,e2))
    | e3 != op(e2,op(e2,e2)) ),
    inference(cnf_transformation,[],[f219]) ).

fof(f219,plain,
    ( e0 != op(op(e2,op(e2,e2)),op(e2,e2))
    | e4 != op(op(e2,e2),op(e2,e2))
    | e1 != op(e2,e2)
    | e3 != op(e2,op(e2,e2)) ),
    inference(ennf_transformation,[],[f106]) ).

fof(f106,axiom,
    ~ ( e1 = op(e2,e2)
      & e4 = op(op(e2,e2),op(e2,e2))
      & e0 = op(op(e2,op(e2,e2)),op(e2,e2))
      & e3 = op(e2,op(e2,e2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax106) ).

fof(f2317,plain,
    ( spl0_270
    | spl0_193
    | spl0_53
    | spl0_72
    | spl0_268 ),
    inference(avatar_split_clause,[],[f635,f2016,f1038,f952,f1599,f2025]) ).

fof(f1599,plain,
    ( spl0_193
  <=> e0 = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_193])]) ).

fof(f952,plain,
    ( spl0_53
  <=> e0 = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f1038,plain,
    ( spl0_72
  <=> e0 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f635,plain,
    ( e0 = op(e0,e1)
    | e0 = op(e3,e1)
    | e0 = op(e1,e1)
    | e0 = op(e2,e1)
    | e0 = op(e4,e1) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f2316,plain,
    ( ~ spl0_133
    | ~ spl0_59
    | ~ spl0_56
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f711,f1509,f969,f982,f1307]) ).

fof(f969,plain,
    ( spl0_56
  <=> e3 = op(op(e0,op(e0,e0)),op(e0,e0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f711,plain,
    ( e4 != op(op(e0,e0),op(e0,e0))
    | e3 != op(op(e0,op(e0,e0)),op(e0,e0))
    | e2 != op(e0,op(e0,e0))
    | op(e0,e0) != e1 ),
    inference(cnf_transformation,[],[f152]) ).

fof(f152,plain,
    ( e2 != op(e0,op(e0,e0))
    | e3 != op(op(e0,op(e0,e0)),op(e0,e0))
    | e4 != op(op(e0,e0),op(e0,e0))
    | op(e0,e0) != e1 ),
    inference(ennf_transformation,[],[f122]) ).

fof(f122,axiom,
    ~ ( e2 = op(e0,op(e0,e0))
      & e3 = op(op(e0,op(e0,e0)),op(e0,e0))
      & e4 = op(op(e0,e0),op(e0,e0))
      & op(e0,e0) = e1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax122) ).

fof(f2315,plain,
    ~ spl0_313,
    inference(avatar_split_clause,[],[f395,f2312]) ).

fof(f2312,plain,
    ( spl0_313
  <=> op(e0,e4) = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_313])]) ).

fof(f395,plain,
    op(e0,e4) != op(e2,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f2310,plain,
    ( ~ spl0_96
    | ~ spl0_200
    | ~ spl0_134
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f717,f1430,f1312,f1637,f1142]) ).

fof(f717,plain,
    ( e0 != op(e2,e2)
    | e3 != op(op(e2,op(e2,e2)),op(e2,e2))
    | e1 != op(op(e2,e2),op(e2,e2))
    | e4 != op(e2,op(e2,e2)) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f130,plain,
    ( e4 != op(e2,op(e2,e2))
    | e1 != op(op(e2,e2),op(e2,e2))
    | e0 != op(e2,e2)
    | e3 != op(op(e2,op(e2,e2)),op(e2,e2)) ),
    inference(ennf_transformation,[],[f46]) ).

fof(f46,axiom,
    ~ ( e3 = op(op(e2,op(e2,e2)),op(e2,e2))
      & e1 = op(op(e2,e2),op(e2,e2))
      & e4 = op(e2,op(e2,e2))
      & e0 = op(e2,e2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax46) ).

fof(f2309,plain,
    ~ spl0_312,
    inference(avatar_split_clause,[],[f396,f2306]) ).

fof(f2306,plain,
    ( spl0_312
  <=> op(e3,e0) = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_312])]) ).

fof(f396,plain,
    op(e3,e0) != op(e3,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f2304,plain,
    ( ~ spl0_44
    | spl0_45
    | spl0_33
    | spl0_49
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f513,f857,f934,f861,f915,f911]) ).

fof(f513,plain,
    ( e0 != op(e0,op(e0,e0))
    | e3 = op(e0,op(e3,e0))
    | e4 = op(e0,op(e4,e0))
    | e2 = op(e0,op(e2,e0))
    | e0 != op(e1,op(e1,e0)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2303,plain,
    ( spl0_2
    | ~ spl0_43
    | spl0_170
    | spl0_42
    | spl0_41 ),
    inference(avatar_split_clause,[],[f560,f897,f901,f1483,f906,f728]) ).

fof(f560,plain,
    ( e1 = op(e3,op(e1,e3))
    | e0 = op(e3,op(e0,e3))
    | e2 = op(e3,op(e2,e3))
    | e3 != op(e4,op(e4,e3))
    | e3 = op(e3,op(e3,e3)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2302,plain,
    ( spl0_126
    | ~ spl0_151
    | spl0_124
    | spl0_152
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f456,f1387,f1397,f1268,f1393,f1276]) ).

fof(f456,plain,
    ( e1 != op(e4,op(e4,e1))
    | e2 = op(e1,op(e2,e1))
    | e1 = op(e1,op(e1,e1))
    | e1 != op(e0,op(e0,e1))
    | e3 = op(e1,op(e3,e1)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2301,plain,
    ( spl0_126
    | ~ spl0_150
    | ~ spl0_125
    | ~ spl0_151
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f444,f1268,f1393,f1272,f1387,f1276]) ).

fof(f444,plain,
    ( e1 != op(e1,op(e1,e1))
    | e1 != op(e0,op(e0,e1))
    | e1 != op(e2,op(e2,e1))
    | e1 != op(e4,op(e4,e1))
    | e3 = op(e1,op(e3,e1)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2300,plain,
    ~ spl0_311,
    inference(avatar_split_clause,[],[f401,f2297]) ).

fof(f2297,plain,
    ( spl0_311
  <=> op(e1,e0) = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_311])]) ).

fof(f401,plain,
    op(e1,e0) != op(e2,e0),
    inference(cnf_transformation,[],[f4]) ).

fof(f2295,plain,
    spl0_310,
    inference(avatar_split_clause,[],[f696,f2292]) ).

fof(f2292,plain,
    ( spl0_310
  <=> e3 = op(unit,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_310])]) ).

fof(f696,plain,
    e3 = op(unit,e3),
    inference(cnf_transformation,[],[f2]) ).

fof(f2290,plain,
    ( ~ spl0_262
    | ~ spl0_52
    | ~ spl0_163
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f434,f952,f1449,f948,f1968]) ).

fof(f434,plain,
    ( e0 != op(e1,e1)
    | e3 != op(e1,op(e1,e1))
    | e4 != op(op(e1,e1),op(e1,e1))
    | e2 != op(op(e1,op(e1,e1)),op(e1,e1)) ),
    inference(cnf_transformation,[],[f180]) ).

fof(f180,plain,
    ( e0 != op(e1,e1)
    | e2 != op(op(e1,op(e1,e1)),op(e1,e1))
    | e3 != op(e1,op(e1,e1))
    | e4 != op(op(e1,e1),op(e1,e1)) ),
    inference(ennf_transformation,[],[f118]) ).

fof(f118,axiom,
    ~ ( e2 = op(op(e1,op(e1,e1)),op(e1,e1))
      & e4 = op(op(e1,e1),op(e1,e1))
      & e3 = op(e1,op(e1,e1))
      & e0 = op(e1,e1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax118) ).

fof(f2289,plain,
    ~ spl0_309,
    inference(avatar_split_clause,[],[f362,f2286]) ).

fof(f2286,plain,
    ( spl0_309
  <=> op(e3,e3) = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_309])]) ).

fof(f362,plain,
    op(e3,e3) != op(e4,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f2284,plain,
    ( ~ spl0_110
    | ~ spl0_68
    | ~ spl0_178
    | ~ spl0_225 ),
    inference(avatar_split_clause,[],[f297,f1770,f1523,f1021,f1206]) ).

fof(f297,plain,
    ( e3 != op(op(e4,op(e4,e4)),op(e4,e4))
    | e1 != op(op(e4,e4),op(e4,e4))
    | e2 != op(e4,e4)
    | e0 != op(e4,op(e4,e4)) ),
    inference(cnf_transformation,[],[f216]) ).

fof(f216,plain,
    ( e1 != op(op(e4,e4),op(e4,e4))
    | e2 != op(e4,e4)
    | e3 != op(op(e4,op(e4,e4)),op(e4,e4))
    | e0 != op(e4,op(e4,e4)) ),
    inference(ennf_transformation,[],[f47]) ).

fof(f47,axiom,
    ~ ( e3 = op(op(e4,op(e4,e4)),op(e4,e4))
      & e1 = op(op(e4,e4),op(e4,e4))
      & e0 = op(e4,op(e4,e4))
      & e2 = op(e4,e4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax47) ).

fof(f2283,plain,
    ( ~ spl0_74
    | ~ spl0_53
    | ~ spl0_91
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f281,f1449,f1120,f952,f1047]) ).

fof(f281,plain,
    ( e3 != op(e1,op(e1,e1))
    | e4 != op(op(e1,op(e1,e1)),op(e1,e1))
    | e0 != op(e1,e1)
    | e2 != op(op(e1,e1),op(e1,e1)) ),
    inference(cnf_transformation,[],[f240]) ).

fof(f240,plain,
    ( e2 != op(op(e1,e1),op(e1,e1))
    | e3 != op(e1,op(e1,e1))
    | e4 != op(op(e1,op(e1,e1)),op(e1,e1))
    | e0 != op(e1,e1) ),
    inference(ennf_transformation,[],[f76]) ).

fof(f76,axiom,
    ~ ( e3 = op(e1,op(e1,e1))
      & e0 = op(e1,e1)
      & e2 = op(op(e1,e1),op(e1,e1))
      & e4 = op(op(e1,op(e1,e1)),op(e1,e1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax76) ).

fof(f2282,plain,
    ~ spl0_308,
    inference(avatar_split_clause,[],[f352,f2279]) ).

fof(f2279,plain,
    ( spl0_308
  <=> op(e1,e1) = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_308])]) ).

fof(f352,plain,
    op(e1,e1) != op(e1,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f2277,plain,
    ( spl0_26
    | spl0_269
    | spl0_84
    | spl0_201
    | spl0_129 ),
    inference(avatar_split_clause,[],[f640,f1291,f1644,f1090,f2021,f832]) ).

fof(f832,plain,
    ( spl0_26
  <=> e1 = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f1291,plain,
    ( spl0_129
  <=> e1 = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f640,plain,
    ( e1 = op(e4,e0)
    | e1 = op(e4,e3)
    | e1 = op(e4,e4)
    | e1 = op(e4,e1)
    | e1 = op(e4,e2) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f2276,plain,
    ( ~ spl0_14
    | ~ spl0_19
    | ~ spl0_120
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f707,f1255,f1251,f802,f779]) ).

fof(f779,plain,
    ( spl0_14
  <=> e2 = op(op(e3,e3),op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f707,plain,
    ( e0 != op(e3,op(e3,e3))
    | e1 != op(e3,e3)
    | e4 != op(op(e3,op(e3,e3)),op(e3,e3))
    | e2 != op(op(e3,e3),op(e3,e3)) ),
    inference(cnf_transformation,[],[f137]) ).

fof(f137,plain,
    ( e4 != op(op(e3,op(e3,e3)),op(e3,e3))
    | e2 != op(op(e3,e3),op(e3,e3))
    | e0 != op(e3,op(e3,e3))
    | e1 != op(e3,e3) ),
    inference(ennf_transformation,[],[f77]) ).

fof(f77,axiom,
    ~ ( e2 = op(op(e3,e3),op(e3,e3))
      & e1 = op(e3,e3)
      & e4 = op(op(e3,op(e3,e3)),op(e3,e3))
      & e0 = op(e3,op(e3,e3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax77) ).

fof(f2275,plain,
    ~ spl0_307,
    inference(avatar_split_clause,[],[f370,f2272]) ).

fof(f2272,plain,
    ( spl0_307
  <=> op(e1,e4) = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_307])]) ).

fof(f370,plain,
    op(e1,e4) != op(e3,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f2270,plain,
    ( ~ spl0_86
    | ~ spl0_88
    | ~ spl0_62
    | ~ spl0_60
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f483,f1103,f987,f995,f1107,f1099]) ).

fof(f483,plain,
    ( e2 != op(e0,op(e0,e2))
    | e2 != op(e1,op(e1,e2))
    | e2 != op(e2,op(e2,e2))
    | e2 != op(e3,op(e3,e2))
    | e2 != op(e4,op(e4,e2)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2269,plain,
    ~ spl0_306,
    inference(avatar_split_clause,[],[f372,f2266]) ).

fof(f2266,plain,
    ( spl0_306
  <=> op(e1,e2) = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_306])]) ).

fof(f372,plain,
    op(e1,e2) != op(e2,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f2264,plain,
    ( ~ spl0_37
    | ~ spl0_175
    | ~ spl0_144
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f425,f982,f1359,f1509,f879]) ).

fof(f425,plain,
    ( e2 != op(e0,op(e0,e0))
    | e1 != op(op(e0,op(e0,e0)),op(e0,e0))
    | e4 != op(op(e0,e0),op(e0,e0))
    | op(e0,e0) != e3 ),
    inference(cnf_transformation,[],[f177]) ).

fof(f177,plain,
    ( e4 != op(op(e0,e0),op(e0,e0))
    | op(e0,e0) != e3
    | e2 != op(e0,op(e0,e0))
    | e1 != op(op(e0,op(e0,e0)),op(e0,e0)) ),
    inference(ennf_transformation,[],[f109]) ).

fof(f109,axiom,
    ~ ( e4 = op(op(e0,e0),op(e0,e0))
      & e1 = op(op(e0,op(e0,e0)),op(e0,e0))
      & op(e0,e0) = e3
      & e2 = op(e0,op(e0,e0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax109) ).

fof(f2263,plain,
    ( ~ spl0_225
    | ~ spl0_112
    | ~ spl0_84
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f303,f1206,f1090,f1214,f1770]) ).

fof(f1214,plain,
    ( spl0_112
  <=> e2 = op(op(e4,e4),op(e4,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f303,plain,
    ( e0 != op(e4,op(e4,e4))
    | e1 != op(e4,e4)
    | e2 != op(op(e4,e4),op(e4,e4))
    | e3 != op(op(e4,op(e4,e4)),op(e4,e4)) ),
    inference(cnf_transformation,[],[f150]) ).

fof(f150,plain,
    ( e0 != op(e4,op(e4,e4))
    | e1 != op(e4,e4)
    | e2 != op(op(e4,e4),op(e4,e4))
    | e3 != op(op(e4,op(e4,e4)),op(e4,e4)) ),
    inference(ennf_transformation,[],[f71]) ).

fof(f71,axiom,
    ~ ( e3 = op(op(e4,op(e4,e4)),op(e4,e4))
      & e0 = op(e4,op(e4,e4))
      & e1 = op(e4,e4)
      & e2 = op(op(e4,e4),op(e4,e4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax71) ).

fof(f2262,plain,
    ( spl0_45
    | spl0_49
    | ~ spl0_44
    | ~ spl0_146
    | spl0_32 ),
    inference(avatar_split_clause,[],[f503,f857,f1368,f911,f934,f915]) ).

fof(f503,plain,
    ( e0 = op(e0,op(e0,e0))
    | e0 != op(e4,op(e4,e0))
    | e0 != op(e1,op(e1,e0))
    | e3 = op(e0,op(e3,e0))
    | e2 = op(e0,op(e2,e0)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2261,plain,
    spl0_305,
    inference(avatar_split_clause,[],[f699,f2258]) ).

fof(f2258,plain,
    ( spl0_305
  <=> e3 = op(e3,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_305])]) ).

fof(f699,plain,
    e3 = op(e3,unit),
    inference(cnf_transformation,[],[f2]) ).

fof(f2256,plain,
    ( spl0_21
    | ~ spl0_20
    | spl0_22
    | ~ spl0_47
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f595,f819,f925,f815,f807,f811]) ).

fof(f595,plain,
    ( e4 != op(e0,op(e0,e4))
    | e4 != op(e3,op(e3,e4))
    | e2 = op(e4,op(e2,e4))
    | e4 != op(e4,op(e4,e4))
    | e1 = op(e4,op(e1,e4)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2255,plain,
    ~ spl0_304,
    inference(avatar_split_clause,[],[f406,f2252]) ).

fof(f2252,plain,
    ( spl0_304
  <=> op(e1,e0) = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_304])]) ).

fof(f406,plain,
    op(e1,e0) != op(e4,e0),
    inference(cnf_transformation,[],[f4]) ).

fof(f2250,plain,
    ~ spl0_303,
    inference(avatar_split_clause,[],[f617,f2247]) ).

fof(f2247,plain,
    ( spl0_303
  <=> e0 = e4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_303])]) ).

fof(f617,plain,
    e0 != e4,
    inference(cnf_transformation,[],[f5]) ).

fof(f2245,plain,
    ~ spl0_302,
    inference(avatar_split_clause,[],[f313,f2242]) ).

fof(f2242,plain,
    ( spl0_302
  <=> op(e1,e0) = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_302])]) ).

fof(f313,plain,
    op(e1,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f4]) ).

fof(f2240,plain,
    ~ spl0_301,
    inference(avatar_split_clause,[],[f359,f2237]) ).

fof(f2237,plain,
    ( spl0_301
  <=> op(e4,e3) = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_301])]) ).

fof(f359,plain,
    op(e4,e3) != op(e4,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f2235,plain,
    ( ~ spl0_86
    | spl0_62
    | spl0_61
    | ~ spl0_88
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f471,f987,f1107,f991,f995,f1099]) ).

fof(f471,plain,
    ( e2 != op(e1,op(e1,e2))
    | e2 != op(e3,op(e3,e2))
    | e0 = op(e2,op(e0,e2))
    | e2 = op(e2,op(e2,e2))
    | e2 != op(e4,op(e4,e2)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2234,plain,
    ~ spl0_300,
    inference(avatar_split_clause,[],[f361,f2231]) ).

fof(f2231,plain,
    ( spl0_300
  <=> op(e0,e3) = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_300])]) ).

fof(f361,plain,
    op(e0,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f2229,plain,
    ~ spl0_299,
    inference(avatar_split_clause,[],[f408,f2226]) ).

fof(f2226,plain,
    ( spl0_299
  <=> op(e0,e0) = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_299])]) ).

fof(f408,plain,
    op(e0,e0) != op(e2,e0),
    inference(cnf_transformation,[],[f4]) ).

fof(f2224,plain,
    ( ~ spl0_5
    | spl0_42
    | spl0_3
    | ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f545,f728,f724,f732,f901,f740]) ).

fof(f545,plain,
    ( e3 = op(e3,op(e3,e3))
    | e3 != op(e1,op(e1,e3))
    | e4 = op(e3,op(e4,e3))
    | e0 = op(e3,op(e0,e3))
    | e3 != op(e2,op(e2,e3)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2223,plain,
    ~ spl0_298,
    inference(avatar_split_clause,[],[f394,f2220]) ).

fof(f2220,plain,
    ( spl0_298
  <=> op(e1,e4) = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_298])]) ).

fof(f394,plain,
    op(e1,e4) != op(e2,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f2218,plain,
    ~ spl0_297,
    inference(avatar_split_clause,[],[f358,f2215]) ).

fof(f2215,plain,
    ( spl0_297
  <=> op(e0,e4) = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_297])]) ).

fof(f358,plain,
    op(e0,e4) != op(e3,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f2213,plain,
    ( spl0_63
    | spl0_89
    | spl0_61
    | ~ spl0_88
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f492,f995,f1107,f991,f1111,f999]) ).

fof(f492,plain,
    ( e2 != op(e2,op(e2,e2))
    | e2 != op(e3,op(e3,e2))
    | e0 = op(e2,op(e0,e2))
    | e1 = op(e2,op(e1,e2))
    | e4 = op(e2,op(e4,e2)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2212,plain,
    ~ spl0_296,
    inference(avatar_split_clause,[],[f392,f2209]) ).

fof(f2209,plain,
    ( spl0_296
  <=> op(e2,e0) = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_296])]) ).

fof(f392,plain,
    op(e2,e0) != op(e2,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f2207,plain,
    ( ~ spl0_96
    | ~ spl0_94
    | ~ spl0_115
    | ~ spl0_200 ),
    inference(avatar_split_clause,[],[f304,f1637,f1229,f1134,f1142]) ).

fof(f304,plain,
    ( e1 != op(op(e2,e2),op(e2,e2))
    | e3 != op(e2,e2)
    | e0 != op(op(e2,op(e2,e2)),op(e2,e2))
    | e4 != op(e2,op(e2,e2)) ),
    inference(cnf_transformation,[],[f158]) ).

fof(f158,plain,
    ( e3 != op(e2,e2)
    | e1 != op(op(e2,e2),op(e2,e2))
    | e0 != op(op(e2,op(e2,e2)),op(e2,e2))
    | e4 != op(e2,op(e2,e2)) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f32,axiom,
    ~ ( e0 = op(op(e2,op(e2,e2)),op(e2,e2))
      & e4 = op(e2,op(e2,e2))
      & e3 = op(e2,e2)
      & e1 = op(op(e2,e2),op(e2,e2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax32) ).

fof(f2206,plain,
    ( ~ spl0_47
    | spl0_22
    | ~ spl0_20
    | spl0_21
    | spl0_48 ),
    inference(avatar_split_clause,[],[f597,f929,f811,f807,f815,f925]) ).

fof(f597,plain,
    ( e0 = op(e4,op(e0,e4))
    | e1 = op(e4,op(e1,e4))
    | e4 != op(e4,op(e4,e4))
    | e2 = op(e4,op(e2,e4))
    | e4 != op(e3,op(e3,e4)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2205,plain,
    ( spl0_130
    | spl0_256
    | spl0_233
    | spl0_166
    | spl0_295 ),
    inference(avatar_split_clause,[],[f258,f2202,f1462,f1817,f1940,f1295]) ).

fof(f1940,plain,
    ( spl0_256
  <=> e2 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_256])]) ).

fof(f1462,plain,
    ( spl0_166
  <=> e0 = op(e2,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f258,plain,
    ( e4 = op(e2,e0)
    | e0 = op(e2,e0)
    | e3 = op(e2,e0)
    | e2 = op(e2,e0)
    | e1 = op(e2,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f2200,plain,
    ( ~ spl0_176
    | ~ spl0_38
    | ~ spl0_36
    | ~ spl0_206 ),
    inference(avatar_split_clause,[],[f292,f1668,f875,f883,f1513]) ).

fof(f292,plain,
    ( e3 != op(op(e0,e0),op(e0,e0))
    | e4 != op(op(e0,op(e0,e0)),op(e0,e0))
    | e1 != op(e0,op(e0,e0))
    | op(e0,e0) != e2 ),
    inference(cnf_transformation,[],[f153]) ).

fof(f153,plain,
    ( e3 != op(op(e0,e0),op(e0,e0))
    | e1 != op(e0,op(e0,e0))
    | op(e0,e0) != e2
    | e4 != op(op(e0,op(e0,e0)),op(e0,e0)) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f97,axiom,
    ~ ( e1 = op(e0,op(e0,e0))
      & e4 = op(op(e0,op(e0,e0)),op(e0,e0))
      & e3 = op(op(e0,e0),op(e0,e0))
      & op(e0,e0) = e2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax97) ).

fof(f2199,plain,
    ( spl0_124
    | ~ spl0_149
    | spl0_122
    | ~ spl0_151
    | spl0_152 ),
    inference(avatar_split_clause,[],[f457,f1397,f1393,f1260,f1383,f1268]) ).

fof(f457,plain,
    ( e2 = op(e1,op(e2,e1))
    | e1 != op(e0,op(e0,e1))
    | e4 = op(e1,op(e4,e1))
    | e1 != op(e3,op(e3,e1))
    | e1 = op(e1,op(e1,e1)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2198,plain,
    ( spl0_115
    | spl0_28
    | spl0_105
    | spl0_228
    | spl0_261 ),
    inference(avatar_split_clause,[],[f631,f1963,f1788,f1183,f840,f1229]) ).

fof(f1183,plain,
    ( spl0_105
  <=> e3 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f1788,plain,
    ( spl0_228
  <=> e3 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_228])]) ).

fof(f1963,plain,
    ( spl0_261
  <=> e3 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_261])]) ).

fof(f631,plain,
    ( e3 = op(e1,e2)
    | e3 = op(e3,e2)
    | e3 = op(e0,e2)
    | e3 = op(e4,e2)
    | e3 = op(e2,e2) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f2197,plain,
    ( ~ spl0_88
    | ~ spl0_62
    | spl0_61
    | spl0_63
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f491,f987,f999,f991,f995,f1107]) ).

fof(f491,plain,
    ( e2 != op(e1,op(e1,e2))
    | e4 = op(e2,op(e4,e2))
    | e0 = op(e2,op(e0,e2))
    | e2 != op(e2,op(e2,e2))
    | e2 != op(e3,op(e3,e2)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2196,plain,
    ~ spl0_294,
    inference(avatar_split_clause,[],[f324,f2193]) ).

fof(f2193,plain,
    ( spl0_294
  <=> op(e1,e0) = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_294])]) ).

fof(f324,plain,
    op(e1,e0) != op(e1,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f2191,plain,
    ( ~ spl0_86
    | spl0_62
    | ~ spl0_87
    | ~ spl0_60
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f479,f1107,f987,f1103,f995,f1099]) ).

fof(f479,plain,
    ( e2 != op(e3,op(e3,e2))
    | e2 != op(e1,op(e1,e2))
    | e2 != op(e0,op(e0,e2))
    | e2 = op(e2,op(e2,e2))
    | e2 != op(e4,op(e4,e2)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2190,plain,
    ( spl0_33
    | ~ spl0_30
    | spl0_32
    | ~ spl0_44
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f528,f865,f911,f857,f849,f861]) ).

fof(f528,plain,
    ( e0 != op(e3,op(e3,e0))
    | e0 != op(e1,op(e1,e0))
    | e0 = op(e0,op(e0,e0))
    | e0 != op(e2,op(e2,e0))
    | e4 = op(e0,op(e4,e0)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2189,plain,
    ( ~ spl0_9
    | ~ spl0_8
    | ~ spl0_195
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f676,f1233,f1608,f753,f757]) ).

fof(f757,plain,
    ( spl0_9
  <=> e0 = op(op(e2,e2),op(e2,e2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f676,plain,
    ( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
    | e4 != op(e2,e2)
    | e3 != op(e2,op(e2,e2))
    | e0 != op(op(e2,e2),op(e2,e2)) ),
    inference(cnf_transformation,[],[f171]) ).

fof(f171,plain,
    ( e4 != op(e2,e2)
    | e0 != op(op(e2,e2),op(e2,e2))
    | e3 != op(e2,op(e2,e2))
    | e1 != op(op(e2,op(e2,e2)),op(e2,e2)) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ~ ( e0 = op(op(e2,e2),op(e2,e2))
      & e3 = op(e2,op(e2,e2))
      & e1 = op(op(e2,op(e2,e2)),op(e2,e2))
      & e4 = op(e2,e2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

fof(f2188,plain,
    ( ~ spl0_176
    | ~ spl0_206
    | ~ spl0_231
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f600,f1359,f1804,f1668,f1513]) ).

fof(f600,plain,
    ( e1 != op(op(e0,op(e0,e0)),op(e0,e0))
    | e4 != op(e0,op(e0,e0))
    | e3 != op(op(e0,e0),op(e0,e0))
    | op(e0,e0) != e2 ),
    inference(cnf_transformation,[],[f209]) ).

fof(f209,plain,
    ( e4 != op(e0,op(e0,e0))
    | op(e0,e0) != e2
    | e1 != op(op(e0,op(e0,e0)),op(e0,e0))
    | e3 != op(op(e0,e0),op(e0,e0)) ),
    inference(ennf_transformation,[],[f86]) ).

fof(f86,axiom,
    ~ ( e3 = op(op(e0,e0),op(e0,e0))
      & e4 = op(e0,op(e0,e0))
      & e1 = op(op(e0,op(e0,e0)),op(e0,e0))
      & op(e0,e0) = e2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax86) ).

fof(f2187,plain,
    ~ spl0_293,
    inference(avatar_split_clause,[],[f343,f2184]) ).

fof(f2184,plain,
    ( spl0_293
  <=> op(e1,e2) = op(e1,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_293])]) ).

fof(f343,plain,
    op(e1,e2) != op(e1,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f2182,plain,
    ( spl0_24
    | spl0_21
    | ~ spl0_23
    | ~ spl0_20
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f583,f892,f807,f819,f811,f823]) ).

fof(f583,plain,
    ( e4 != op(e2,op(e2,e4))
    | e4 != op(e4,op(e4,e4))
    | e4 != op(e0,op(e0,e4))
    | e1 = op(e4,op(e1,e4))
    | e3 = op(e4,op(e3,e4)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2181,plain,
    ( spl0_41
    | spl0_2
    | spl0_3
    | spl0_170
    | spl0_42 ),
    inference(avatar_split_clause,[],[f562,f901,f1483,f732,f728,f897]) ).

fof(f562,plain,
    ( e0 = op(e3,op(e0,e3))
    | e2 = op(e3,op(e2,e3))
    | e4 = op(e3,op(e4,e3))
    | e3 = op(e3,op(e3,e3))
    | e1 = op(e3,op(e1,e3)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2180,plain,
    ( spl0_33
    | spl0_45
    | ~ spl0_32
    | ~ spl0_34
    | spl0_31 ),
    inference(avatar_split_clause,[],[f518,f853,f865,f857,f915,f861]) ).

fof(f518,plain,
    ( e1 = op(e0,op(e1,e0))
    | e0 != op(e3,op(e3,e0))
    | e0 != op(e0,op(e0,e0))
    | e2 = op(e0,op(e2,e0))
    | e4 = op(e0,op(e4,e0)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2179,plain,
    ~ spl0_292,
    inference(avatar_split_clause,[],[f405,f2176]) ).

fof(f2176,plain,
    ( spl0_292
  <=> op(e1,e2) = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_292])]) ).

fof(f405,plain,
    op(e1,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f2174,plain,
    ( ~ spl0_80
    | ~ spl0_110
    | ~ spl0_178
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f691,f1478,f1523,f1206,f1072]) ).

fof(f1478,plain,
    ( spl0_169
  <=> e2 = op(op(e4,op(e4,e4)),op(e4,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f691,plain,
    ( e2 != op(op(e4,op(e4,e4)),op(e4,e4))
    | e1 != op(op(e4,e4),op(e4,e4))
    | e0 != op(e4,op(e4,e4))
    | e3 != op(e4,e4) ),
    inference(cnf_transformation,[],[f181]) ).

fof(f181,plain,
    ( e1 != op(op(e4,e4),op(e4,e4))
    | e3 != op(e4,e4)
    | e2 != op(op(e4,op(e4,e4)),op(e4,e4))
    | e0 != op(e4,op(e4,e4)) ),
    inference(ennf_transformation,[],[f41]) ).

fof(f41,axiom,
    ~ ( e0 = op(e4,op(e4,e4))
      & e2 = op(op(e4,op(e4,e4)),op(e4,e4))
      & e3 = op(e4,e4)
      & e1 = op(op(e4,e4),op(e4,e4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax41) ).

fof(f2173,plain,
    ( spl0_48
    | spl0_20
    | spl0_22
    | ~ spl0_100
    | spl0_24 ),
    inference(avatar_split_clause,[],[f574,f823,f1162,f815,f807,f929]) ).

fof(f574,plain,
    ( e3 = op(e4,op(e3,e4))
    | e4 != op(e1,op(e1,e4))
    | e2 = op(e4,op(e2,e4))
    | e4 = op(e4,op(e4,e4))
    | e0 = op(e4,op(e0,e4)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2172,plain,
    ( ~ spl0_47
    | spl0_48
    | ~ spl0_40
    | ~ spl0_100
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f577,f807,f1162,f892,f929,f925]) ).

fof(f577,plain,
    ( e4 != op(e4,op(e4,e4))
    | e4 != op(e1,op(e1,e4))
    | e4 != op(e2,op(e2,e4))
    | e0 = op(e4,op(e0,e4))
    | e4 != op(e3,op(e3,e4)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2171,plain,
    ~ spl0_291,
    inference(avatar_split_clause,[],[f368,f2168]) ).

fof(f2168,plain,
    ( spl0_291
  <=> op(e0,e2) = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_291])]) ).

fof(f368,plain,
    op(e0,e2) != op(e1,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f2166,plain,
    ( ~ spl0_120
    | ~ spl0_109
    | ~ spl0_15
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f298,f779,f783,f1201,f1251]) ).

fof(f298,plain,
    ( e2 != op(op(e3,e3),op(e3,e3))
    | e0 != op(op(e3,op(e3,e3)),op(e3,e3))
    | e4 != op(e3,op(e3,e3))
    | e1 != op(e3,e3) ),
    inference(cnf_transformation,[],[f232]) ).

fof(f232,plain,
    ( e0 != op(op(e3,op(e3,e3)),op(e3,e3))
    | e2 != op(op(e3,e3),op(e3,e3))
    | e4 != op(e3,op(e3,e3))
    | e1 != op(e3,e3) ),
    inference(ennf_transformation,[],[f58]) ).

fof(f58,axiom,
    ~ ( e2 = op(op(e3,e3),op(e3,e3))
      & e4 = op(e3,op(e3,e3))
      & e1 = op(e3,e3)
      & e0 = op(op(e3,op(e3,e3)),op(e3,e3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax58) ).

fof(f2165,plain,
    ( ~ spl0_5
    | spl0_2
    | ~ spl0_4
    | spl0_41
    | spl0_3 ),
    inference(avatar_split_clause,[],[f565,f732,f897,f736,f728,f740]) ).

fof(f565,plain,
    ( e4 = op(e3,op(e4,e3))
    | e1 = op(e3,op(e1,e3))
    | e3 != op(e0,op(e0,e3))
    | e3 = op(e3,op(e3,e3))
    | e3 != op(e2,op(e2,e3)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2164,plain,
    ( spl0_21
    | spl0_24
    | spl0_20
    | ~ spl0_23
    | spl0_22 ),
    inference(avatar_split_clause,[],[f588,f815,f819,f807,f823,f811]) ).

fof(f588,plain,
    ( e2 = op(e4,op(e2,e4))
    | e4 != op(e0,op(e0,e4))
    | e4 = op(e4,op(e4,e4))
    | e3 = op(e4,op(e3,e4))
    | e1 = op(e4,op(e1,e4)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2163,plain,
    ~ spl0_290,
    inference(avatar_split_clause,[],[f379,f2160]) ).

fof(f2160,plain,
    ( spl0_290
  <=> op(e2,e1) = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_290])]) ).

fof(f379,plain,
    op(e2,e1) != op(e2,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f2158,plain,
    ( ~ spl0_140
    | ~ spl0_163
    | ~ spl0_262
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f428,f1246,f1968,f1449,f1339]) ).

fof(f428,plain,
    ( e4 != op(e1,e1)
    | e2 != op(op(e1,op(e1,e1)),op(e1,e1))
    | e3 != op(e1,op(e1,e1))
    | e0 != op(op(e1,e1),op(e1,e1)) ),
    inference(cnf_transformation,[],[f176]) ).

fof(f176,plain,
    ( e2 != op(op(e1,op(e1,e1)),op(e1,e1))
    | e0 != op(op(e1,e1),op(e1,e1))
    | e4 != op(e1,e1)
    | e3 != op(e1,op(e1,e1)) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,axiom,
    ~ ( e4 = op(e1,e1)
      & e2 = op(op(e1,op(e1,e1)),op(e1,e1))
      & e3 = op(e1,op(e1,e1))
      & e0 = op(op(e1,e1),op(e1,e1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).

fof(f2157,plain,
    ( spl0_89
    | spl0_64
    | spl0_61
    | spl0_62
    | spl0_63 ),
    inference(avatar_split_clause,[],[f490,f999,f995,f991,f1003,f1111]) ).

fof(f490,plain,
    ( e4 = op(e2,op(e4,e2))
    | e2 = op(e2,op(e2,e2))
    | e0 = op(e2,op(e0,e2))
    | e3 = op(e2,op(e3,e2))
    | e1 = op(e2,op(e1,e2)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2156,plain,
    ( spl0_138
    | spl0_179
    | spl0_73
    | spl0_192
    | spl0_147 ),
    inference(avatar_split_clause,[],[f626,f1374,f1595,f1042,f1528,f1329]) ).

fof(f1329,plain,
    ( spl0_138
  <=> e0 = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f1528,plain,
    ( spl0_179
  <=> e0 = op(e0,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).

fof(f1042,plain,
    ( spl0_73
  <=> e0 = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f626,plain,
    ( e0 = op(e4,e4)
    | e0 = op(e2,e4)
    | e0 = op(e3,e4)
    | e0 = op(e0,e4)
    | e0 = op(e1,e4) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f2155,plain,
    ~ spl0_289,
    inference(avatar_split_clause,[],[f310,f2152]) ).

fof(f2152,plain,
    ( spl0_289
  <=> op(e0,e3) = op(e0,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_289])]) ).

fof(f310,plain,
    op(e0,e3) != op(e0,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f2150,plain,
    ( ~ spl0_232
    | ~ spl0_38
    | ~ spl0_175
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f599,f879,f1509,f883,f1808]) ).

fof(f599,plain,
    ( op(e0,e0) != e3
    | e4 != op(op(e0,e0),op(e0,e0))
    | e1 != op(e0,op(e0,e0))
    | e2 != op(op(e0,op(e0,e0)),op(e0,e0)) ),
    inference(cnf_transformation,[],[f241]) ).

fof(f241,plain,
    ( e2 != op(op(e0,op(e0,e0)),op(e0,e0))
    | op(e0,e0) != e3
    | e4 != op(op(e0,e0),op(e0,e0))
    | e1 != op(e0,op(e0,e0)) ),
    inference(ennf_transformation,[],[f115]) ).

fof(f115,axiom,
    ~ ( op(e0,e0) = e3
      & e2 = op(op(e0,op(e0,e0)),op(e0,e0))
      & e4 = op(op(e0,e0),op(e0,e0))
      & e1 = op(e0,op(e0,e0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax115) ).

fof(f2149,plain,
    ( ~ spl0_58
    | ~ spl0_56
    | ~ spl0_176
    | ~ spl0_231 ),
    inference(avatar_split_clause,[],[f247,f1804,f1513,f969,f978]) ).

fof(f247,plain,
    ( e4 != op(e0,op(e0,e0))
    | op(e0,e0) != e2
    | e3 != op(op(e0,op(e0,e0)),op(e0,e0))
    | e1 != op(op(e0,e0),op(e0,e0)) ),
    inference(cnf_transformation,[],[f225]) ).

fof(f225,plain,
    ( e1 != op(op(e0,e0),op(e0,e0))
    | e3 != op(op(e0,op(e0,e0)),op(e0,e0))
    | e4 != op(e0,op(e0,e0))
    | op(e0,e0) != e2 ),
    inference(ennf_transformation,[],[f44]) ).

fof(f44,axiom,
    ~ ( e3 = op(op(e0,op(e0,e0)),op(e0,e0))
      & e1 = op(op(e0,e0),op(e0,e0))
      & e4 = op(e0,op(e0,e0))
      & op(e0,e0) = e2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax44) ).

fof(f2148,plain,
    ( spl0_122
    | ~ spl0_149
    | spl0_124
    | ~ spl0_125
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f441,f1393,f1272,f1268,f1383,f1260]) ).

fof(f441,plain,
    ( e1 != op(e0,op(e0,e1))
    | e1 != op(e2,op(e2,e1))
    | e1 = op(e1,op(e1,e1))
    | e1 != op(e3,op(e3,e1))
    | e4 = op(e1,op(e4,e1)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2147,plain,
    ( spl0_31
    | ~ spl0_34
    | ~ spl0_30
    | ~ spl0_32
    | spl0_33 ),
    inference(avatar_split_clause,[],[f534,f861,f857,f849,f865,f853]) ).

fof(f534,plain,
    ( e4 = op(e0,op(e4,e0))
    | e0 != op(e0,op(e0,e0))
    | e0 != op(e2,op(e2,e0))
    | e0 != op(e3,op(e3,e0))
    | e1 = op(e0,op(e1,e0)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2146,plain,
    ( ~ spl0_60
    | ~ spl0_88
    | spl0_63
    | spl0_61
    | spl0_62 ),
    inference(avatar_split_clause,[],[f487,f995,f991,f999,f1107,f987]) ).

fof(f487,plain,
    ( e2 = op(e2,op(e2,e2))
    | e0 = op(e2,op(e0,e2))
    | e4 = op(e2,op(e4,e2))
    | e2 != op(e3,op(e3,e2))
    | e2 != op(e1,op(e1,e2)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2145,plain,
    ~ spl0_288,
    inference(avatar_split_clause,[],[f363,f2142]) ).

fof(f2142,plain,
    ( spl0_288
  <=> op(e4,e1) = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_288])]) ).

fof(f363,plain,
    op(e4,e1) != op(e4,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f2140,plain,
    ~ spl0_287,
    inference(avatar_split_clause,[],[f390,f2137]) ).

fof(f2137,plain,
    ( spl0_287
  <=> op(e0,e1) = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_287])]) ).

fof(f390,plain,
    op(e0,e1) != op(e0,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f2135,plain,
    ( spl0_53
    | spl0_172
    | spl0_141
    | spl0_93
    | spl0_119 ),
    inference(avatar_split_clause,[],[f264,f1246,f1129,f1343,f1493,f952]) ).

fof(f264,plain,
    ( e4 = op(e1,e1)
    | e2 = op(e1,e1)
    | e3 = op(e1,e1)
    | e1 = op(e1,e1)
    | e0 = op(e1,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f2134,plain,
    ( ~ spl0_43
    | ~ spl0_4
    | ~ spl0_1
    | spl0_170
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f540,f728,f1483,f724,f736,f906]) ).

fof(f540,plain,
    ( e3 != op(e3,op(e3,e3))
    | e2 = op(e3,op(e2,e3))
    | e3 != op(e1,op(e1,e3))
    | e3 != op(e0,op(e0,e3))
    | e3 != op(e4,op(e4,e3)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2133,plain,
    ( spl0_89
    | ~ spl0_86
    | spl0_64
    | spl0_61
    | spl0_62 ),
    inference(avatar_split_clause,[],[f474,f995,f991,f1003,f1099,f1111]) ).

fof(f474,plain,
    ( e2 = op(e2,op(e2,e2))
    | e0 = op(e2,op(e0,e2))
    | e3 = op(e2,op(e3,e2))
    | e2 != op(e4,op(e4,e2))
    | e1 = op(e2,op(e1,e2)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2132,plain,
    ( spl0_41
    | spl0_3
    | spl0_170
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f558,f736,f728,f1483,f732,f897]) ).

fof(f558,plain,
    ( e3 != op(e0,op(e0,e3))
    | e3 != op(e3,op(e3,e3))
    | e2 = op(e3,op(e2,e3))
    | e4 = op(e3,op(e4,e3))
    | e1 = op(e3,op(e1,e3)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2131,plain,
    ( spl0_223
    | spl0_234
    | spl0_160
    | spl0_76
    | spl0_228 ),
    inference(avatar_split_clause,[],[f622,f1788,f1056,f1435,f1821,f1756]) ).

fof(f1756,plain,
    ( spl0_223
  <=> e3 = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_223])]) ).

fof(f1435,plain,
    ( spl0_160
  <=> e3 = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f1056,plain,
    ( spl0_76
  <=> e3 = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f622,plain,
    ( e3 = op(e3,e2)
    | e3 = op(e3,e4)
    | e3 = op(e3,e3)
    | e3 = op(e3,e0)
    | e3 = op(e3,e1) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f2130,plain,
    ~ spl0_286,
    inference(avatar_split_clause,[],[f327,f2127]) ).

fof(f2127,plain,
    ( spl0_286
  <=> op(e1,e0) = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_286])]) ).

fof(f327,plain,
    op(e1,e0) != op(e1,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f2125,plain,
    ( spl0_135
    | spl0_191
    | spl0_12
    | spl0_285
    | spl0_247 ),
    inference(avatar_split_clause,[],[f656,f1892,f2122,f770,f1591,f1317]) ).

fof(f1892,plain,
    ( spl0_247
  <=> e0 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_247])]) ).

fof(f656,plain,
    ( e0 = op(e0,e3)
    | e0 = op(e4,e3)
    | e0 = op(e3,e3)
    | e0 = op(e2,e3)
    | e0 = op(e1,e3) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f2120,plain,
    ( spl0_45
    | spl0_33
    | spl0_32
    | ~ spl0_34
    | spl0_31 ),
    inference(avatar_split_clause,[],[f516,f853,f865,f857,f861,f915]) ).

fof(f516,plain,
    ( e1 = op(e0,op(e1,e0))
    | e0 != op(e3,op(e3,e0))
    | e0 = op(e0,op(e0,e0))
    | e4 = op(e0,op(e4,e0))
    | e2 = op(e0,op(e2,e0)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2119,plain,
    ( ~ spl0_20
    | ~ spl0_47
    | ~ spl0_40
    | ~ spl0_23
    | spl0_21 ),
    inference(avatar_split_clause,[],[f591,f811,f819,f892,f925,f807]) ).

fof(f591,plain,
    ( e1 = op(e4,op(e1,e4))
    | e4 != op(e0,op(e0,e4))
    | e4 != op(e2,op(e2,e4))
    | e4 != op(e3,op(e3,e4))
    | e4 != op(e4,op(e4,e4)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2118,plain,
    ~ spl0_284,
    inference(avatar_split_clause,[],[f387,f2115]) ).

fof(f2115,plain,
    ( spl0_284
  <=> op(e0,e0) = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_284])]) ).

fof(f387,plain,
    op(e0,e0) != op(e0,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f2113,plain,
    ( spl0_22
    | ~ spl0_100
    | spl0_48
    | ~ spl0_47
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f581,f807,f925,f929,f1162,f815]) ).

fof(f581,plain,
    ( e4 != op(e4,op(e4,e4))
    | e4 != op(e3,op(e3,e4))
    | e0 = op(e4,op(e0,e4))
    | e4 != op(e1,op(e1,e4))
    | e2 = op(e4,op(e2,e4)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2112,plain,
    ( ~ spl0_43
    | spl0_42
    | ~ spl0_2
    | spl0_41
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f551,f740,f897,f728,f901,f906]) ).

fof(f551,plain,
    ( e3 != op(e2,op(e2,e3))
    | e1 = op(e3,op(e1,e3))
    | e3 != op(e3,op(e3,e3))
    | e0 = op(e3,op(e0,e3))
    | e3 != op(e4,op(e4,e3)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2111,plain,
    spl0_283,
    inference(avatar_split_clause,[],[f692,f2108]) ).

fof(f2108,plain,
    ( spl0_283
  <=> e2 = op(unit,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_283])]) ).

fof(f692,plain,
    e2 = op(unit,e2),
    inference(cnf_transformation,[],[f2]) ).

fof(f2106,plain,
    ( ~ spl0_151
    | spl0_122
    | spl0_126
    | spl0_124
    | spl0_152 ),
    inference(avatar_split_clause,[],[f458,f1397,f1268,f1276,f1260,f1393]) ).

fof(f458,plain,
    ( e2 = op(e1,op(e2,e1))
    | e1 = op(e1,op(e1,e1))
    | e3 = op(e1,op(e3,e1))
    | e4 = op(e1,op(e4,e1))
    | e1 != op(e0,op(e0,e1)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2105,plain,
    ( ~ spl0_125
    | spl0_124
    | ~ spl0_150
    | ~ spl0_151
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f439,f1383,f1393,f1387,f1268,f1272]) ).

fof(f439,plain,
    ( e1 != op(e3,op(e3,e1))
    | e1 != op(e0,op(e0,e1))
    | e1 != op(e4,op(e4,e1))
    | e1 = op(e1,op(e1,e1))
    | e1 != op(e2,op(e2,e1)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2104,plain,
    ( spl0_33
    | spl0_49
    | ~ spl0_44
    | ~ spl0_30
    | spl0_32 ),
    inference(avatar_split_clause,[],[f527,f857,f849,f911,f934,f861]) ).

fof(f527,plain,
    ( e0 = op(e0,op(e0,e0))
    | e0 != op(e2,op(e2,e0))
    | e0 != op(e1,op(e1,e0))
    | e3 = op(e0,op(e3,e0))
    | e4 = op(e0,op(e4,e0)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2103,plain,
    ( spl0_48
    | ~ spl0_40
    | spl0_21
    | spl0_24
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f585,f807,f823,f811,f892,f929]) ).

fof(f585,plain,
    ( e4 != op(e4,op(e4,e4))
    | e3 = op(e4,op(e3,e4))
    | e1 = op(e4,op(e1,e4))
    | e4 != op(e2,op(e2,e4))
    | e0 = op(e4,op(e0,e4)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2102,plain,
    ( spl0_123
    | spl0_152
    | spl0_122
    | ~ spl0_124
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f469,f1383,f1268,f1260,f1397,f1264]) ).

fof(f469,plain,
    ( e1 != op(e3,op(e3,e1))
    | e1 != op(e1,op(e1,e1))
    | e4 = op(e1,op(e4,e1))
    | e2 = op(e1,op(e2,e1))
    | e0 = op(e1,op(e0,e1)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2101,plain,
    ( ~ spl0_107
    | ~ spl0_121
    | ~ spl0_14
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f412,f787,f779,f1255,f1193]) ).

fof(f412,plain,
    ( e4 != op(e3,e3)
    | e2 != op(op(e3,e3),op(e3,e3))
    | e0 != op(e3,op(e3,e3))
    | e1 != op(op(e3,op(e3,e3)),op(e3,e3)) ),
    inference(cnf_transformation,[],[f195]) ).

fof(f195,plain,
    ( e4 != op(e3,e3)
    | e1 != op(op(e3,op(e3,e3)),op(e3,e3))
    | e0 != op(e3,op(e3,e3))
    | e2 != op(op(e3,e3),op(e3,e3)) ),
    inference(ennf_transformation,[],[f63]) ).

fof(f63,axiom,
    ~ ( e1 = op(op(e3,op(e3,e3)),op(e3,e3))
      & e0 = op(e3,op(e3,e3))
      & e2 = op(op(e3,e3),op(e3,e3))
      & e4 = op(e3,e3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax63) ).

fof(f2100,plain,
    ( spl0_261
    | spl0_235
    | spl0_141
    | spl0_215
    | spl0_77 ),
    inference(avatar_split_clause,[],[f653,f1060,f1717,f1343,f1825,f1963]) ).

fof(f1060,plain,
    ( spl0_77
  <=> e3 = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f653,plain,
    ( e3 = op(e1,e4)
    | e3 = op(e1,e3)
    | e3 = op(e1,e1)
    | e3 = op(e1,e0)
    | e3 = op(e1,e2) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f2099,plain,
    ( ~ spl0_133
    | ~ spl0_206
    | ~ spl0_232
    | ~ spl0_231 ),
    inference(avatar_split_clause,[],[f290,f1804,f1808,f1668,f1307]) ).

fof(f290,plain,
    ( e4 != op(e0,op(e0,e0))
    | e2 != op(op(e0,op(e0,e0)),op(e0,e0))
    | e3 != op(op(e0,e0),op(e0,e0))
    | op(e0,e0) != e1 ),
    inference(cnf_transformation,[],[f159]) ).

fof(f159,plain,
    ( op(e0,e0) != e1
    | e3 != op(op(e0,e0),op(e0,e0))
    | e2 != op(op(e0,op(e0,e0)),op(e0,e0))
    | e4 != op(e0,op(e0,e0)) ),
    inference(ennf_transformation,[],[f92]) ).

fof(f92,axiom,
    ~ ( e4 = op(e0,op(e0,e0))
      & e2 = op(op(e0,op(e0,e0)),op(e0,e0))
      & e3 = op(op(e0,e0),op(e0,e0))
      & op(e0,e0) = e1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax92) ).

fof(f2098,plain,
    ( spl0_170
    | spl0_41
    | ~ spl0_43
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f556,f728,f736,f906,f897,f1483]) ).

fof(f556,plain,
    ( e3 != op(e3,op(e3,e3))
    | e3 != op(e0,op(e0,e3))
    | e3 != op(e4,op(e4,e3))
    | e1 = op(e3,op(e1,e3))
    | e2 = op(e3,op(e2,e3)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2097,plain,
    spl0_282,
    inference(avatar_split_clause,[],[f698,f2094]) ).

fof(f2094,plain,
    ( spl0_282
  <=> e2 = op(e2,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_282])]) ).

fof(f698,plain,
    e2 = op(e2,unit),
    inference(cnf_transformation,[],[f2]) ).

fof(f2092,plain,
    ( spl0_24
    | ~ spl0_23
    | ~ spl0_100
    | spl0_22
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f571,f807,f815,f1162,f819,f823]) ).

fof(f571,plain,
    ( e4 != op(e4,op(e4,e4))
    | e2 = op(e4,op(e2,e4))
    | e4 != op(e1,op(e1,e4))
    | e4 != op(e0,op(e0,e4))
    | e3 = op(e4,op(e3,e4)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2091,plain,
    ~ spl0_281,
    inference(avatar_split_clause,[],[f350,f2088]) ).

fof(f2088,plain,
    ( spl0_281
  <=> op(e2,e0) = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_281])]) ).

fof(f350,plain,
    op(e2,e0) != op(e2,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f2086,plain,
    ( spl0_22
    | ~ spl0_20
    | spl0_21
    | spl0_48
    | spl0_24 ),
    inference(avatar_split_clause,[],[f589,f823,f929,f811,f807,f815]) ).

fof(f589,plain,
    ( e3 = op(e4,op(e3,e4))
    | e0 = op(e4,op(e0,e4))
    | e1 = op(e4,op(e1,e4))
    | e4 != op(e4,op(e4,e4))
    | e2 = op(e4,op(e2,e4)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2085,plain,
    ( spl0_20
    | spl0_48
    | spl0_24
    | ~ spl0_100
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f570,f892,f1162,f823,f929,f807]) ).

fof(f570,plain,
    ( e4 != op(e2,op(e2,e4))
    | e4 != op(e1,op(e1,e4))
    | e3 = op(e4,op(e3,e4))
    | e0 = op(e4,op(e0,e4))
    | e4 = op(e4,op(e4,e4)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2084,plain,
    ( ~ spl0_60
    | ~ spl0_87
    | spl0_63
    | ~ spl0_62
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f499,f1107,f995,f999,f1103,f987]) ).

fof(f499,plain,
    ( e2 != op(e3,op(e3,e2))
    | e2 != op(e2,op(e2,e2))
    | e4 = op(e2,op(e4,e2))
    | e2 != op(e0,op(e0,e2))
    | e2 != op(e1,op(e1,e2)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2083,plain,
    ~ spl0_280,
    inference(avatar_split_clause,[],[f328,f2080]) ).

fof(f2080,plain,
    ( spl0_280
  <=> op(e0,e1) = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_280])]) ).

fof(f328,plain,
    op(e0,e1) != op(e0,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f2078,plain,
    spl0_279,
    inference(avatar_split_clause,[],[f694,f2075]) ).

fof(f2075,plain,
    ( spl0_279
  <=> e0 = op(e0,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_279])]) ).

fof(f694,plain,
    e0 = op(e0,unit),
    inference(cnf_transformation,[],[f2]) ).

fof(f2073,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | spl0_170
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f550,f732,f728,f1483,f736,f724]) ).

fof(f550,plain,
    ( e4 = op(e3,op(e4,e3))
    | e3 = op(e3,op(e3,e3))
    | e2 = op(e3,op(e2,e3))
    | e3 != op(e0,op(e0,e3))
    | e3 != op(e1,op(e1,e3)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2072,plain,
    ( ~ spl0_125
    | ~ spl0_150
    | spl0_123
    | spl0_124
    | spl0_126 ),
    inference(avatar_split_clause,[],[f448,f1276,f1268,f1264,f1387,f1272]) ).

fof(f448,plain,
    ( e3 = op(e1,op(e3,e1))
    | e1 = op(e1,op(e1,e1))
    | e0 = op(e1,op(e0,e1))
    | e1 != op(e4,op(e4,e1))
    | e1 != op(e2,op(e2,e1)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2071,plain,
    ( spl0_195
    | spl0_115
    | spl0_7
    | spl0_159
    | spl0_257 ),
    inference(avatar_split_clause,[],[f277,f1944,f1430,f749,f1229,f1608]) ).

fof(f277,plain,
    ( e2 = op(e2,e2)
    | e0 = op(e2,e2)
    | e1 = op(e2,e2)
    | e3 = op(e2,e2)
    | e4 = op(e2,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f2070,plain,
    ~ spl0_278,
    inference(avatar_split_clause,[],[f409,f2067]) ).

fof(f2067,plain,
    ( spl0_278
  <=> op(e3,e0) = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_278])]) ).

fof(f409,plain,
    op(e3,e0) != op(e3,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f2065,plain,
    ( ~ spl0_141
    | ~ spl0_262
    | ~ spl0_75
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f433,f1339,f1051,f1968,f1343]) ).

fof(f433,plain,
    ( e0 != op(op(e1,e1),op(e1,e1))
    | e4 != op(e1,op(e1,e1))
    | e2 != op(op(e1,op(e1,e1)),op(e1,e1))
    | e3 != op(e1,e1) ),
    inference(cnf_transformation,[],[f140]) ).

fof(f140,plain,
    ( e3 != op(e1,e1)
    | e2 != op(op(e1,op(e1,e1)),op(e1,e1))
    | e4 != op(e1,op(e1,e1))
    | e0 != op(op(e1,e1),op(e1,e1)) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,axiom,
    ~ ( e2 = op(op(e1,op(e1,e1)),op(e1,e1))
      & e3 = op(e1,e1)
      & e4 = op(e1,op(e1,e1))
      & e0 = op(op(e1,e1),op(e1,e1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).

fof(f2064,plain,
    ( ~ spl0_195
    | ~ spl0_118
    | ~ spl0_95
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f435,f1233,f1138,f1241,f1608]) ).

fof(f435,plain,
    ( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
    | e3 != op(op(e2,e2),op(e2,e2))
    | e0 != op(e2,op(e2,e2))
    | e4 != op(e2,e2) ),
    inference(cnf_transformation,[],[f215]) ).

fof(f215,plain,
    ( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
    | e3 != op(op(e2,e2),op(e2,e2))
    | e4 != op(e2,e2)
    | e0 != op(e2,op(e2,e2)) ),
    inference(ennf_transformation,[],[f87]) ).

fof(f87,axiom,
    ~ ( e0 = op(e2,op(e2,e2))
      & e3 = op(op(e2,e2),op(e2,e2))
      & e1 = op(op(e2,op(e2,e2)),op(e2,e2))
      & e4 = op(e2,e2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax87) ).

fof(f2063,plain,
    ( spl0_122
    | ~ spl0_124
    | ~ spl0_151
    | ~ spl0_149
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f445,f1272,f1383,f1393,f1268,f1260]) ).

fof(f445,plain,
    ( e1 != op(e2,op(e2,e1))
    | e1 != op(e3,op(e3,e1))
    | e1 != op(e0,op(e0,e1))
    | e1 != op(e1,op(e1,e1))
    | e4 = op(e1,op(e4,e1)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2062,plain,
    ( spl0_259
    | spl0_276
    | spl0_248
    | spl0_108
    | spl0_277 ),
    inference(avatar_split_clause,[],[f643,f2059,f1197,f1896,f2055,f1952]) ).

fof(f643,plain,
    ( e2 = op(e1,e3)
    | e2 = op(e3,e3)
    | e2 = op(e0,e3)
    | e2 = op(e4,e3)
    | e2 = op(e2,e3) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f2053,plain,
    ~ spl0_275,
    inference(avatar_split_clause,[],[f383,f2050]) ).

fof(f2050,plain,
    ( spl0_275
  <=> op(e0,e3) = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_275])]) ).

fof(f383,plain,
    op(e0,e3) != op(e2,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f2048,plain,
    ( ~ spl0_146
    | ~ spl0_30
    | ~ spl0_44
    | spl0_49
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f521,f857,f934,f911,f849,f1368]) ).

fof(f521,plain,
    ( e0 != op(e0,op(e0,e0))
    | e3 = op(e0,op(e3,e0))
    | e0 != op(e1,op(e1,e0))
    | e0 != op(e2,op(e2,e0))
    | e0 != op(e4,op(e4,e0)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2047,plain,
    ( spl0_32
    | spl0_45
    | ~ spl0_34
    | spl0_31
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f508,f1368,f853,f865,f915,f857]) ).

fof(f508,plain,
    ( e0 != op(e4,op(e4,e0))
    | e1 = op(e0,op(e1,e0))
    | e0 != op(e3,op(e3,e0))
    | e2 = op(e0,op(e2,e0))
    | e0 = op(e0,op(e0,e0)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2046,plain,
    ~ spl0_274,
    inference(avatar_split_clause,[],[f345,f2043]) ).

fof(f2043,plain,
    ( spl0_274
  <=> op(e0,e0) = op(e0,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_274])]) ).

fof(f345,plain,
    op(e0,e0) != op(e0,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f2041,plain,
    ( spl0_272
    | spl0_176
    | spl0_256
    | spl0_182
    | spl0_273 ),
    inference(avatar_split_clause,[],[f630,f2038,f1544,f1940,f1513,f2034]) ).

fof(f630,plain,
    ( e2 = op(e3,e0)
    | e2 = op(e4,e0)
    | e2 = op(e2,e0)
    | op(e0,e0) = e2
    | e2 = op(e1,e0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f2032,plain,
    ( spl0_210
    | spl0_269
    | spl0_222
    | spl0_270
    | spl0_271 ),
    inference(avatar_split_clause,[],[f259,f2029,f2025,f1752,f2021,f1690]) ).

fof(f259,plain,
    ( e2 = op(e4,e1)
    | e0 = op(e4,e1)
    | e3 = op(e4,e1)
    | e1 = op(e4,e1)
    | e4 = op(e4,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f2019,plain,
    ( spl0_179
    | spl0_165
    | spl0_268
    | spl0_101
    | spl0_247 ),
    inference(avatar_split_clause,[],[f646,f1892,f1167,f2016,f1458,f1528]) ).

fof(f1167,plain,
    ( spl0_101
  <=> e0 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f646,plain,
    ( e0 = op(e0,e3)
    | e0 = op(e0,e2)
    | e0 = op(e0,e1)
    | e0 = op(e0,e0)
    | e0 = op(e0,e4) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f2014,plain,
    ~ spl0_267,
    inference(avatar_split_clause,[],[f341,f2011]) ).

fof(f2011,plain,
    ( spl0_267
  <=> op(e2,e3) = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_267])]) ).

fof(f341,plain,
    op(e2,e3) != op(e4,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f2009,plain,
    ( ~ spl0_145
    | ~ spl0_57
    | ~ spl0_232
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f251,f978,f1808,f973,f1363]) ).

fof(f251,plain,
    ( e1 != op(op(e0,e0),op(e0,e0))
    | e2 != op(op(e0,op(e0,e0)),op(e0,e0))
    | op(e0,e0) != e4
    | e3 != op(e0,op(e0,e0)) ),
    inference(cnf_transformation,[],[f199]) ).

fof(f199,plain,
    ( op(e0,e0) != e4
    | e3 != op(e0,op(e0,e0))
    | e1 != op(op(e0,e0),op(e0,e0))
    | e2 != op(op(e0,op(e0,e0)),op(e0,e0)) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f37,axiom,
    ~ ( e2 = op(op(e0,op(e0,e0)),op(e0,e0))
      & e1 = op(op(e0,e0),op(e0,e0))
      & e3 = op(e0,op(e0,e0))
      & op(e0,e0) = e4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax37) ).

fof(f2008,plain,
    ( spl0_64
    | ~ spl0_86
    | ~ spl0_62
    | spl0_89
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f486,f1103,f1111,f995,f1099,f1003]) ).

fof(f486,plain,
    ( e2 != op(e0,op(e0,e2))
    | e1 = op(e2,op(e1,e2))
    | e2 != op(e2,op(e2,e2))
    | e2 != op(e4,op(e4,e2))
    | e3 = op(e2,op(e3,e2)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2007,plain,
    ( spl0_49
    | ~ spl0_146
    | spl0_31
    | spl0_45
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f509,f857,f915,f853,f1368,f934]) ).

fof(f509,plain,
    ( e0 != op(e0,op(e0,e0))
    | e2 = op(e0,op(e2,e0))
    | e1 = op(e0,op(e1,e0))
    | e0 != op(e4,op(e4,e0))
    | e3 = op(e0,op(e3,e0)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2006,plain,
    ( spl0_41
    | ~ spl0_43
    | spl0_170
    | ~ spl0_2
    | spl0_42 ),
    inference(avatar_split_clause,[],[f552,f901,f728,f1483,f906,f897]) ).

fof(f552,plain,
    ( e0 = op(e3,op(e0,e3))
    | e3 != op(e3,op(e3,e3))
    | e2 = op(e3,op(e2,e3))
    | e3 != op(e4,op(e4,e3))
    | e1 = op(e3,op(e1,e3)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f2005,plain,
    ( spl0_220
    | spl0_258
    | spl0_193
    | spl0_265
    | spl0_266 ),
    inference(avatar_split_clause,[],[f269,f2002,f1998,f1599,f1948,f1744]) ).

fof(f269,plain,
    ( e4 = op(e2,e1)
    | e1 = op(e2,e1)
    | e0 = op(e2,e1)
    | e2 = op(e2,e1)
    | e3 = op(e2,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f1996,plain,
    ( ~ spl0_120
    | ~ spl0_11
    | ~ spl0_106
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f606,f1201,f1189,f766,f1251]) ).

fof(f606,plain,
    ( e4 != op(e3,op(e3,e3))
    | e0 != op(op(e3,e3),op(e3,e3))
    | e2 != op(op(e3,op(e3,e3)),op(e3,e3))
    | e1 != op(e3,e3) ),
    inference(cnf_transformation,[],[f214]) ).

fof(f214,plain,
    ( e0 != op(op(e3,e3),op(e3,e3))
    | e4 != op(e3,op(e3,e3))
    | e1 != op(e3,e3)
    | e2 != op(op(e3,op(e3,e3)),op(e3,e3)) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,axiom,
    ~ ( e0 = op(op(e3,e3),op(e3,e3))
      & e2 = op(op(e3,op(e3,e3)),op(e3,e3))
      & e1 = op(e3,e3)
      & e4 = op(e3,op(e3,e3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).

fof(f1995,plain,
    ( ~ spl0_185
    | ~ spl0_80
    | ~ spl0_111
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f620,f1503,f1210,f1072,f1557]) ).

fof(f620,plain,
    ( e0 != op(op(e4,e4),op(e4,e4))
    | e1 != op(op(e4,op(e4,e4)),op(e4,e4))
    | e3 != op(e4,e4)
    | e2 != op(e4,op(e4,e4)) ),
    inference(cnf_transformation,[],[f142]) ).

fof(f142,plain,
    ( e1 != op(op(e4,op(e4,e4)),op(e4,e4))
    | e3 != op(e4,e4)
    | e2 != op(e4,op(e4,e4))
    | e0 != op(op(e4,e4),op(e4,e4)) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,axiom,
    ~ ( e0 = op(op(e4,e4),op(e4,e4))
      & e3 = op(e4,e4)
      & e2 = op(e4,op(e4,e4))
      & e1 = op(op(e4,op(e4,e4)),op(e4,e4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).

fof(f1994,plain,
    ( ~ spl0_75
    | ~ spl0_74
    | ~ spl0_162
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f249,f1343,f1445,f1047,f1051]) ).

fof(f249,plain,
    ( e3 != op(e1,e1)
    | e0 != op(op(e1,op(e1,e1)),op(e1,e1))
    | e2 != op(op(e1,e1),op(e1,e1))
    | e4 != op(e1,op(e1,e1)) ),
    inference(cnf_transformation,[],[f182]) ).

fof(f182,plain,
    ( e0 != op(op(e1,op(e1,e1)),op(e1,e1))
    | e3 != op(e1,e1)
    | e2 != op(op(e1,e1),op(e1,e1))
    | e4 != op(e1,op(e1,e1)) ),
    inference(ennf_transformation,[],[f56]) ).

fof(f56,axiom,
    ~ ( e0 = op(op(e1,op(e1,e1)),op(e1,e1))
      & e4 = op(e1,op(e1,e1))
      & e2 = op(op(e1,e1),op(e1,e1))
      & e3 = op(e1,e1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax56) ).

fof(f1993,plain,
    ~ spl0_264,
    inference(avatar_split_clause,[],[f326,f1990]) ).

fof(f1990,plain,
    ( spl0_264
  <=> op(e1,e3) = op(e4,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_264])]) ).

fof(f326,plain,
    op(e1,e3) != op(e4,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f1988,plain,
    ( spl0_64
    | spl0_62
    | ~ spl0_87
    | spl0_63
    | spl0_89 ),
    inference(avatar_split_clause,[],[f498,f1111,f999,f1103,f995,f1003]) ).

fof(f498,plain,
    ( e1 = op(e2,op(e1,e2))
    | e4 = op(e2,op(e4,e2))
    | e2 != op(e0,op(e0,e2))
    | e2 = op(e2,op(e2,e2))
    | e3 = op(e2,op(e3,e2)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1987,plain,
    ( ~ spl0_100
    | ~ spl0_20
    | ~ spl0_40
    | spl0_24
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f567,f819,f823,f892,f807,f1162]) ).

fof(f567,plain,
    ( e4 != op(e0,op(e0,e4))
    | e3 = op(e4,op(e3,e4))
    | e4 != op(e2,op(e2,e4))
    | e4 != op(e4,op(e4,e4))
    | e4 != op(e1,op(e1,e4)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1986,plain,
    ( spl0_171
    | spl0_26
    | spl0_190
    | spl0_104
    | spl0_7 ),
    inference(avatar_split_clause,[],[f625,f749,f1179,f1584,f832,f1489]) ).

fof(f1489,plain,
    ( spl0_171
  <=> e1 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f1584,plain,
    ( spl0_190
  <=> e1 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_190])]) ).

fof(f1179,plain,
    ( spl0_104
  <=> e1 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f625,plain,
    ( e1 = op(e2,e2)
    | e1 = op(e0,e2)
    | e1 = op(e3,e2)
    | e1 = op(e4,e2)
    | e1 = op(e1,e2) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f1985,plain,
    ( ~ spl0_10
    | ~ spl0_108
    | ~ spl0_15
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f432,f774,f783,f1197,f762]) ).

fof(f774,plain,
    ( spl0_13
  <=> e1 = op(e3,op(e3,e3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f432,plain,
    ( e1 != op(e3,op(e3,e3))
    | e0 != op(op(e3,op(e3,e3)),op(e3,e3))
    | e2 != op(e3,e3)
    | e4 != op(op(e3,e3),op(e3,e3)) ),
    inference(cnf_transformation,[],[f202]) ).

fof(f202,plain,
    ( e1 != op(e3,op(e3,e3))
    | e0 != op(op(e3,op(e3,e3)),op(e3,e3))
    | e2 != op(e3,e3)
    | e4 != op(op(e3,e3),op(e3,e3)) ),
    inference(ennf_transformation,[],[f107]) ).

fof(f107,axiom,
    ~ ( e4 = op(op(e3,e3),op(e3,e3))
      & e0 = op(op(e3,op(e3,e3)),op(e3,e3))
      & e1 = op(e3,op(e3,e3))
      & e2 = op(e3,e3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax107) ).

fof(f1984,plain,
    ( ~ spl0_9
    | ~ spl0_115
    | ~ spl0_96
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f291,f1233,f1142,f1229,f757]) ).

fof(f291,plain,
    ( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
    | e4 != op(e2,op(e2,e2))
    | e3 != op(e2,e2)
    | e0 != op(op(e2,e2),op(e2,e2)) ),
    inference(cnf_transformation,[],[f166]) ).

fof(f166,plain,
    ( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
    | e3 != op(e2,e2)
    | e4 != op(e2,op(e2,e2))
    | e0 != op(op(e2,e2),op(e2,e2)) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ~ ( e4 = op(e2,op(e2,e2))
      & e0 = op(op(e2,e2),op(e2,e2))
      & e1 = op(op(e2,op(e2,e2)),op(e2,e2))
      & e3 = op(e2,e2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

fof(f1983,plain,
    ( ~ spl0_110
    | ~ spl0_84
    | ~ spl0_169
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f430,f1013,f1478,f1090,f1206]) ).

fof(f430,plain,
    ( e3 != op(op(e4,e4),op(e4,e4))
    | e2 != op(op(e4,op(e4,e4)),op(e4,e4))
    | e1 != op(e4,e4)
    | e0 != op(e4,op(e4,e4)) ),
    inference(cnf_transformation,[],[f237]) ).

fof(f237,plain,
    ( e0 != op(e4,op(e4,e4))
    | e3 != op(op(e4,e4),op(e4,e4))
    | e2 != op(op(e4,op(e4,e4)),op(e4,e4))
    | e1 != op(e4,e4) ),
    inference(ennf_transformation,[],[f95]) ).

fof(f95,axiom,
    ~ ( e0 = op(e4,op(e4,e4))
      & e1 = op(e4,e4)
      & e3 = op(op(e4,e4),op(e4,e4))
      & e2 = op(op(e4,op(e4,e4)),op(e4,e4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax95) ).

fof(f1982,plain,
    ( ~ spl0_121
    | ~ spl0_10
    | ~ spl0_108
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f708,f1193,f1197,f762,f1255]) ).

fof(f708,plain,
    ( e1 != op(op(e3,op(e3,e3)),op(e3,e3))
    | e2 != op(e3,e3)
    | e4 != op(op(e3,e3),op(e3,e3))
    | e0 != op(e3,op(e3,e3)) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f134,plain,
    ( e1 != op(op(e3,op(e3,e3)),op(e3,e3))
    | e2 != op(e3,e3)
    | e0 != op(e3,op(e3,e3))
    | e4 != op(op(e3,e3),op(e3,e3)) ),
    inference(ennf_transformation,[],[f113]) ).

fof(f113,axiom,
    ~ ( e4 = op(op(e3,e3),op(e3,e3))
      & e2 = op(e3,e3)
      & e1 = op(op(e3,op(e3,e3)),op(e3,e3))
      & e0 = op(e3,op(e3,e3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax113) ).

fof(f1981,plain,
    ~ spl0_263,
    inference(avatar_split_clause,[],[f398,f1978]) ).

fof(f1978,plain,
    ( spl0_263
  <=> op(e2,e3) = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_263])]) ).

fof(f398,plain,
    op(e2,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f1976,plain,
    ( spl0_2
    | ~ spl0_5
    | ~ spl0_4
    | ~ spl0_43
    | spl0_41 ),
    inference(avatar_split_clause,[],[f563,f897,f906,f736,f740,f728]) ).

fof(f563,plain,
    ( e1 = op(e3,op(e1,e3))
    | e3 != op(e4,op(e4,e3))
    | e3 != op(e0,op(e0,e3))
    | e3 != op(e2,op(e2,e3))
    | e3 = op(e3,op(e3,e3)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1975,plain,
    ( ~ spl0_39
    | ~ spl0_56
    | ~ spl0_231
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f436,f1307,f1804,f969,f887]) ).

fof(f436,plain,
    ( op(e0,e0) != e1
    | e4 != op(e0,op(e0,e0))
    | e3 != op(op(e0,op(e0,e0)),op(e0,e0))
    | e2 != op(op(e0,e0),op(e0,e0)) ),
    inference(cnf_transformation,[],[f178]) ).

fof(f178,plain,
    ( e3 != op(op(e0,op(e0,e0)),op(e0,e0))
    | e4 != op(e0,op(e0,e0))
    | op(e0,e0) != e1
    | e2 != op(op(e0,e0),op(e0,e0)) ),
    inference(ennf_transformation,[],[f68]) ).

fof(f68,axiom,
    ~ ( e4 = op(e0,op(e0,e0))
      & e3 = op(op(e0,op(e0,e0)),op(e0,e0))
      & op(e0,e0) = e1
      & e2 = op(op(e0,e0),op(e0,e0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax68) ).

fof(f1974,plain,
    ( ~ spl0_225
    | ~ spl0_112
    | ~ spl0_69
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f721,f1374,f1025,f1214,f1770]) ).

fof(f1025,plain,
    ( spl0_69
  <=> e1 = op(e4,op(e4,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f721,plain,
    ( e0 != op(e4,e4)
    | e1 != op(e4,op(e4,e4))
    | e2 != op(op(e4,e4),op(e4,e4))
    | e3 != op(op(e4,op(e4,e4)),op(e4,e4)) ),
    inference(cnf_transformation,[],[f174]) ).

fof(f174,plain,
    ( e0 != op(e4,e4)
    | e3 != op(op(e4,op(e4,e4)),op(e4,e4))
    | e1 != op(e4,op(e4,e4))
    | e2 != op(op(e4,e4),op(e4,e4)) ),
    inference(ennf_transformation,[],[f72]) ).

fof(f72,axiom,
    ~ ( e2 = op(op(e4,e4),op(e4,e4))
      & e0 = op(e4,e4)
      & e3 = op(op(e4,op(e4,e4)),op(e4,e4))
      & e1 = op(e4,op(e4,e4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax72) ).

fof(f1973,plain,
    ( ~ spl0_47
    | spl0_22
    | spl0_48
    | spl0_20
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f582,f1162,f807,f929,f815,f925]) ).

fof(f582,plain,
    ( e4 != op(e1,op(e1,e4))
    | e4 = op(e4,op(e4,e4))
    | e0 = op(e4,op(e0,e4))
    | e2 = op(e4,op(e2,e4))
    | e4 != op(e3,op(e3,e4)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1972,plain,
    ( spl0_152
    | spl0_126
    | ~ spl0_150
    | ~ spl0_124
    | spl0_123 ),
    inference(avatar_split_clause,[],[f468,f1264,f1268,f1387,f1276,f1397]) ).

fof(f468,plain,
    ( e0 = op(e1,op(e0,e1))
    | e1 != op(e1,op(e1,e1))
    | e1 != op(e4,op(e4,e1))
    | e3 = op(e1,op(e3,e1))
    | e2 = op(e1,op(e2,e1)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1971,plain,
    ( ~ spl0_75
    | ~ spl0_90
    | ~ spl0_262
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f713,f952,f1968,f1116,f1051]) ).

fof(f713,plain,
    ( e0 != op(e1,e1)
    | e2 != op(op(e1,op(e1,e1)),op(e1,e1))
    | e3 != op(op(e1,e1),op(e1,e1))
    | e4 != op(e1,op(e1,e1)) ),
    inference(cnf_transformation,[],[f233]) ).

fof(f233,plain,
    ( e3 != op(op(e1,e1),op(e1,e1))
    | e2 != op(op(e1,op(e1,e1)),op(e1,e1))
    | e0 != op(e1,e1)
    | e4 != op(e1,op(e1,e1)) ),
    inference(ennf_transformation,[],[f94]) ).

fof(f94,axiom,
    ~ ( e4 = op(e1,op(e1,e1))
      & e0 = op(e1,e1)
      & e3 = op(op(e1,e1),op(e1,e1))
      & e2 = op(op(e1,op(e1,e1)),op(e1,e1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax94) ).

fof(f1966,plain,
    ( spl0_194
    | spl0_137
    | spl0_260
    | spl0_261
    | spl0_171 ),
    inference(avatar_split_clause,[],[f255,f1489,f1963,f1959,f1325,f1604]) ).

fof(f1604,plain,
    ( spl0_194
  <=> e4 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_194])]) ).

fof(f1325,plain,
    ( spl0_137
  <=> e0 = op(e1,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f255,plain,
    ( e1 = op(e1,e2)
    | e3 = op(e1,e2)
    | e2 = op(e1,e2)
    | e0 = op(e1,e2)
    | e4 = op(e1,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f1957,plain,
    ( spl0_20
    | ~ spl0_100
    | ~ spl0_47
    | ~ spl0_40
    | spl0_48 ),
    inference(avatar_split_clause,[],[f578,f929,f892,f925,f1162,f807]) ).

fof(f578,plain,
    ( e0 = op(e4,op(e0,e4))
    | e4 != op(e2,op(e2,e4))
    | e4 != op(e3,op(e3,e4))
    | e4 != op(e1,op(e1,e4))
    | e4 = op(e4,op(e4,e4)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1956,plain,
    ( spl0_68
    | spl0_180
    | spl0_255
    | spl0_243
    | spl0_187 ),
    inference(avatar_split_clause,[],[f638,f1570,f1868,f1936,f1532,f1021]) ).

fof(f638,plain,
    ( e2 = op(e3,e4)
    | e2 = op(e1,e4)
    | e2 = op(e2,e4)
    | e2 = op(e0,e4)
    | e2 = op(e4,e4) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f1955,plain,
    ( spl0_255
    | spl0_256
    | spl0_257
    | spl0_258
    | spl0_259 ),
    inference(avatar_split_clause,[],[f629,f1952,f1948,f1944,f1940,f1936]) ).

fof(f629,plain,
    ( e2 = op(e2,e3)
    | e2 = op(e2,e1)
    | e2 = op(e2,e2)
    | e2 = op(e2,e0)
    | e2 = op(e2,e4) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f1934,plain,
    ( spl0_42
    | spl0_170
    | ~ spl0_43
    | ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f544,f728,f724,f906,f1483,f901]) ).

fof(f544,plain,
    ( e3 = op(e3,op(e3,e3))
    | e3 != op(e1,op(e1,e3))
    | e3 != op(e4,op(e4,e3))
    | e2 = op(e3,op(e2,e3))
    | e0 = op(e3,op(e0,e3)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1933,plain,
    ( ~ spl0_125
    | ~ spl0_150
    | ~ spl0_124
    | spl0_123
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f451,f1383,f1264,f1268,f1387,f1272]) ).

fof(f451,plain,
    ( e1 != op(e3,op(e3,e1))
    | e0 = op(e1,op(e0,e1))
    | e1 != op(e1,op(e1,e1))
    | e1 != op(e4,op(e4,e1))
    | e1 != op(e2,op(e2,e1)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1932,plain,
    ( spl0_79
    | spl0_105
    | spl0_221
    | spl0_37
    | spl0_213 ),
    inference(avatar_split_clause,[],[f660,f1709,f879,f1748,f1183,f1068]) ).

fof(f1068,plain,
    ( spl0_79
  <=> e3 = op(e0,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f1709,plain,
    ( spl0_213
  <=> e3 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_213])]) ).

fof(f660,plain,
    ( e3 = op(e0,e3)
    | op(e0,e0) = e3
    | e3 = op(e0,e1)
    | e3 = op(e0,e2)
    | e3 = op(e0,e4) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f1931,plain,
    ( spl0_20
    | spl0_24
    | ~ spl0_23
    | spl0_22
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f572,f1162,f815,f819,f823,f807]) ).

fof(f572,plain,
    ( e4 != op(e1,op(e1,e4))
    | e2 = op(e4,op(e2,e4))
    | e4 != op(e0,op(e0,e4))
    | e3 = op(e4,op(e3,e4))
    | e4 = op(e4,op(e4,e4)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1930,plain,
    ( spl0_254
    | spl0_155
    | spl0_196
    | spl0_16
    | spl0_238 ),
    inference(avatar_split_clause,[],[f636,f1840,f787,f1612,f1412,f1927]) ).

fof(f1412,plain,
    ( spl0_155
  <=> e4 = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f1612,plain,
    ( spl0_196
  <=> e4 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_196])]) ).

fof(f636,plain,
    ( e4 = op(e3,e1)
    | e4 = op(e3,e3)
    | e4 = op(e3,e2)
    | e4 = op(e3,e4)
    | e4 = op(e3,e0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f1925,plain,
    ( spl0_104
    | spl0_253
    | spl0_203
    | spl0_133
    | spl0_83 ),
    inference(avatar_split_clause,[],[f652,f1086,f1307,f1652,f1922,f1179]) ).

fof(f1652,plain,
    ( spl0_203
  <=> e1 = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_203])]) ).

fof(f1086,plain,
    ( spl0_83
  <=> e1 = op(e0,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f652,plain,
    ( e1 = op(e0,e4)
    | op(e0,e0) = e1
    | e1 = op(e0,e3)
    | e1 = op(e0,e1)
    | e1 = op(e0,e2) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f1920,plain,
    ( ~ spl0_2
    | spl0_3
    | spl0_42
    | spl0_41
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f553,f740,f897,f901,f732,f728]) ).

fof(f553,plain,
    ( e3 != op(e2,op(e2,e3))
    | e1 = op(e3,op(e1,e3))
    | e0 = op(e3,op(e0,e3))
    | e4 = op(e3,op(e4,e3))
    | e3 != op(e3,op(e3,e3)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1919,plain,
    ~ spl0_252,
    inference(avatar_split_clause,[],[f347,f1916]) ).

fof(f1916,plain,
    ( spl0_252
  <=> op(e0,e1) = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_252])]) ).

fof(f347,plain,
    op(e0,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f1914,plain,
    ~ spl0_251,
    inference(avatar_split_clause,[],[f351,f1911]) ).

fof(f1911,plain,
    ( spl0_251
  <=> op(e0,e0) = op(e0,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_251])]) ).

fof(f351,plain,
    op(e0,e0) != op(e0,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f1909,plain,
    ~ spl0_250,
    inference(avatar_split_clause,[],[f400,f1906]) ).

fof(f1906,plain,
    ( spl0_250
  <=> op(e4,e0) = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_250])]) ).

fof(f400,plain,
    op(e4,e0) != op(e4,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f1904,plain,
    ~ spl0_249,
    inference(avatar_split_clause,[],[f330,f1901]) ).

fof(f1901,plain,
    ( spl0_249
  <=> op(e0,e0) = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_249])]) ).

fof(f330,plain,
    op(e0,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f4]) ).

fof(f1899,plain,
    ( spl0_230
    | spl0_247
    | spl0_203
    | spl0_248
    | spl0_213 ),
    inference(avatar_split_clause,[],[f266,f1709,f1896,f1652,f1892,f1797]) ).

fof(f266,plain,
    ( e3 = op(e0,e3)
    | e2 = op(e0,e3)
    | e1 = op(e0,e3)
    | e0 = op(e0,e3)
    | e4 = op(e0,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f1890,plain,
    spl0_246,
    inference(avatar_split_clause,[],[f701,f1887]) ).

fof(f1887,plain,
    ( spl0_246
  <=> e4 = op(e4,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_246])]) ).

fof(f701,plain,
    e4 = op(e4,unit),
    inference(cnf_transformation,[],[f2]) ).

fof(f1885,plain,
    ( ~ spl0_124
    | spl0_126
    | ~ spl0_150
    | spl0_152
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f460,f1393,f1397,f1387,f1276,f1268]) ).

fof(f460,plain,
    ( e1 != op(e0,op(e0,e1))
    | e2 = op(e1,op(e2,e1))
    | e1 != op(e4,op(e4,e1))
    | e3 = op(e1,op(e3,e1))
    | e1 != op(e1,op(e1,e1)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1884,plain,
    ~ spl0_245,
    inference(avatar_split_clause,[],[f335,f1881]) ).

fof(f1881,plain,
    ( spl0_245
  <=> op(e3,e1) = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_245])]) ).

fof(f335,plain,
    op(e3,e1) != op(e3,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f1879,plain,
    ( ~ spl0_20
    | spl0_24
    | spl0_22
    | ~ spl0_100
    | spl0_48 ),
    inference(avatar_split_clause,[],[f573,f929,f1162,f815,f823,f807]) ).

fof(f573,plain,
    ( e0 = op(e4,op(e0,e4))
    | e4 != op(e1,op(e1,e4))
    | e2 = op(e4,op(e2,e4))
    | e3 = op(e4,op(e3,e4))
    | e4 != op(e4,op(e4,e4)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1878,plain,
    ~ spl0_244,
    inference(avatar_split_clause,[],[f329,f1875]) ).

fof(f1875,plain,
    ( spl0_244
  <=> op(e1,e3) = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_244])]) ).

fof(f329,plain,
    op(e1,e3) != op(e1,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f1873,plain,
    ( spl0_32
    | ~ spl0_146
    | ~ spl0_30
    | ~ spl0_34
    | spl0_31 ),
    inference(avatar_split_clause,[],[f524,f853,f865,f849,f1368,f857]) ).

fof(f524,plain,
    ( e1 = op(e0,op(e1,e0))
    | e0 != op(e3,op(e3,e0))
    | e0 != op(e2,op(e2,e0))
    | e0 != op(e4,op(e4,e0))
    | e0 = op(e0,op(e0,e0)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1872,plain,
    ( spl0_63
    | spl0_89
    | spl0_61
    | ~ spl0_88
    | spl0_62 ),
    inference(avatar_split_clause,[],[f488,f995,f1107,f991,f1111,f999]) ).

fof(f488,plain,
    ( e2 = op(e2,op(e2,e2))
    | e2 != op(e3,op(e3,e2))
    | e0 = op(e2,op(e0,e2))
    | e1 = op(e2,op(e1,e2))
    | e4 = op(e2,op(e4,e2)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1871,plain,
    ( spl0_138
    | spl0_81
    | spl0_154
    | spl0_77
    | spl0_243 ),
    inference(avatar_split_clause,[],[f271,f1868,f1060,f1408,f1078,f1329]) ).

fof(f1078,plain,
    ( spl0_81
  <=> e1 = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f1408,plain,
    ( spl0_154
  <=> e4 = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f271,plain,
    ( e2 = op(e1,e4)
    | e3 = op(e1,e4)
    | e4 = op(e1,e4)
    | e1 = op(e1,e4)
    | e0 = op(e1,e4) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f1866,plain,
    ( spl0_122
    | spl0_123
    | spl0_124
    | spl0_152
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f465,f1383,f1397,f1268,f1264,f1260]) ).

fof(f465,plain,
    ( e1 != op(e3,op(e3,e1))
    | e2 = op(e1,op(e2,e1))
    | e1 = op(e1,op(e1,e1))
    | e0 = op(e1,op(e0,e1))
    | e4 = op(e1,op(e4,e1)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1865,plain,
    ( ~ spl0_54
    | ~ spl0_119
    | ~ spl0_90
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f283,f1445,f1116,f1246,f956]) ).

fof(f283,plain,
    ( e0 != op(op(e1,op(e1,e1)),op(e1,e1))
    | e3 != op(op(e1,e1),op(e1,e1))
    | e4 != op(e1,e1)
    | e2 != op(e1,op(e1,e1)) ),
    inference(cnf_transformation,[],[f205]) ).

fof(f205,plain,
    ( e4 != op(e1,e1)
    | e0 != op(op(e1,op(e1,e1)),op(e1,e1))
    | e2 != op(e1,op(e1,e1))
    | e3 != op(op(e1,e1),op(e1,e1)) ),
    inference(ennf_transformation,[],[f79]) ).

fof(f79,axiom,
    ~ ( e0 = op(op(e1,op(e1,e1)),op(e1,e1))
      & e4 = op(e1,e1)
      & e3 = op(op(e1,e1),op(e1,e1))
      & e2 = op(e1,op(e1,e1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax79) ).

fof(f1864,plain,
    ( spl0_154
    | spl0_241
    | spl0_119
    | spl0_242
    | spl0_194 ),
    inference(avatar_split_clause,[],[f644,f1604,f1861,f1246,f1857,f1408]) ).

fof(f644,plain,
    ( e4 = op(e1,e2)
    | e4 = op(e1,e3)
    | e4 = op(e1,e1)
    | e4 = op(e1,e0)
    | e4 = op(e1,e4) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f1855,plain,
    ( ~ spl0_174
    | ~ spl0_111
    | ~ spl0_148
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f678,f1021,f1378,f1210,f1503]) ).

fof(f1378,plain,
    ( spl0_148
  <=> e3 = op(e4,op(e4,e4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f678,plain,
    ( e2 != op(e4,e4)
    | e3 != op(e4,op(e4,e4))
    | e1 != op(op(e4,op(e4,e4)),op(e4,e4))
    | e0 != op(op(e4,e4),op(e4,e4)) ),
    inference(cnf_transformation,[],[f196]) ).

fof(f196,plain,
    ( e0 != op(op(e4,e4),op(e4,e4))
    | e1 != op(op(e4,op(e4,e4)),op(e4,e4))
    | e3 != op(e4,op(e4,e4))
    | e2 != op(e4,e4) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,axiom,
    ~ ( e1 = op(op(e4,op(e4,e4)),op(e4,e4))
      & e2 = op(e4,e4)
      & e0 = op(op(e4,e4),op(e4,e4))
      & e3 = op(e4,op(e4,e4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).

fof(f1854,plain,
    ~ spl0_240,
    inference(avatar_split_clause,[],[f618,f1851]) ).

fof(f1851,plain,
    ( spl0_240
  <=> e2 = e3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_240])]) ).

fof(f618,plain,
    e2 != e3,
    inference(cnf_transformation,[],[f5]) ).

fof(f1849,plain,
    ~ spl0_239,
    inference(avatar_split_clause,[],[f318,f1846]) ).

fof(f1846,plain,
    ( spl0_239
  <=> op(e0,e0) = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_239])]) ).

fof(f318,plain,
    op(e0,e0) != op(e4,e0),
    inference(cnf_transformation,[],[f4]) ).

fof(f1844,plain,
    ( spl0_64
    | ~ spl0_60
    | ~ spl0_86
    | ~ spl0_87
    | spl0_62 ),
    inference(avatar_split_clause,[],[f481,f995,f1103,f1099,f987,f1003]) ).

fof(f481,plain,
    ( e2 = op(e2,op(e2,e2))
    | e2 != op(e0,op(e0,e2))
    | e2 != op(e4,op(e4,e2))
    | e2 != op(e1,op(e1,e2))
    | e3 = op(e2,op(e3,e2)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1843,plain,
    ( spl0_237
    | spl0_223
    | spl0_189
    | spl0_72
    | spl0_238 ),
    inference(avatar_split_clause,[],[f260,f1840,f1038,f1580,f1756,f1836]) ).

fof(f260,plain,
    ( e4 = op(e3,e1)
    | e0 = op(e3,e1)
    | e1 = op(e3,e1)
    | e3 = op(e3,e1)
    | e2 = op(e3,e1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f1834,plain,
    ( spl0_89
    | spl0_64
    | ~ spl0_86
    | spl0_62
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f482,f1103,f995,f1099,f1003,f1111]) ).

fof(f482,plain,
    ( e2 != op(e0,op(e0,e2))
    | e2 = op(e2,op(e2,e2))
    | e2 != op(e4,op(e4,e2))
    | e3 = op(e2,op(e3,e2))
    | e1 = op(e2,op(e1,e2)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1833,plain,
    ~ spl0_236,
    inference(avatar_split_clause,[],[f397,f1830]) ).

fof(f1830,plain,
    ( spl0_236
  <=> op(e0,e2) = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_236])]) ).

fof(f397,plain,
    op(e0,e2) != op(e3,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f1828,plain,
    ( spl0_183
    | spl0_233
    | spl0_37
    | spl0_234
    | spl0_235 ),
    inference(avatar_split_clause,[],[f647,f1825,f1821,f879,f1817,f1548]) ).

fof(f647,plain,
    ( e3 = op(e1,e0)
    | e3 = op(e3,e0)
    | op(e0,e0) = e3
    | e3 = op(e2,e0)
    | e3 = op(e4,e0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f1815,plain,
    ( ~ spl0_134
    | ~ spl0_7
    | ~ spl0_118
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f289,f1237,f1241,f749,f1312]) ).

fof(f289,plain,
    ( e4 != op(op(e2,e2),op(e2,e2))
    | e0 != op(e2,op(e2,e2))
    | e1 != op(e2,e2)
    | e3 != op(op(e2,op(e2,e2)),op(e2,e2)) ),
    inference(cnf_transformation,[],[f163]) ).

fof(f163,plain,
    ( e1 != op(e2,e2)
    | e3 != op(op(e2,op(e2,e2)),op(e2,e2))
    | e0 != op(e2,op(e2,e2))
    | e4 != op(op(e2,e2),op(e2,e2)) ),
    inference(ennf_transformation,[],[f125]) ).

fof(f125,axiom,
    ~ ( e3 = op(op(e2,op(e2,e2)),op(e2,e2))
      & e0 = op(e2,op(e2,e2))
      & e4 = op(op(e2,e2),op(e2,e2))
      & e1 = op(e2,e2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax125) ).

fof(f1814,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_42
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f537,f740,f901,f732,f728,f724]) ).

fof(f537,plain,
    ( e3 != op(e2,op(e2,e3))
    | e0 = op(e3,op(e0,e3))
    | e4 = op(e3,op(e4,e3))
    | e3 != op(e3,op(e3,e3))
    | e3 != op(e1,op(e1,e3)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1813,plain,
    ( ~ spl0_11
    | ~ spl0_13
    | ~ spl0_16
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f715,f1189,f787,f774,f766]) ).

fof(f715,plain,
    ( e0 != op(op(e3,e3),op(e3,e3))
    | e4 != op(e3,e3)
    | e1 != op(e3,op(e3,e3))
    | e2 != op(op(e3,op(e3,e3)),op(e3,e3)) ),
    inference(cnf_transformation,[],[f170]) ).

fof(f170,plain,
    ( e0 != op(op(e3,e3),op(e3,e3))
    | e1 != op(e3,op(e3,e3))
    | e2 != op(op(e3,op(e3,e3)),op(e3,e3))
    | e4 != op(e3,e3) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ~ ( e4 = op(e3,e3)
      & e2 = op(op(e3,op(e3,e3)),op(e3,e3))
      & e0 = op(op(e3,e3),op(e3,e3))
      & e1 = op(e3,op(e3,e3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).

fof(f1812,plain,
    ( ~ spl0_87
    | ~ spl0_60
    | ~ spl0_88
    | spl0_63
    | spl0_62 ),
    inference(avatar_split_clause,[],[f495,f995,f999,f1107,f987,f1103]) ).

fof(f495,plain,
    ( e2 = op(e2,op(e2,e2))
    | e4 = op(e2,op(e4,e2))
    | e2 != op(e3,op(e3,e2))
    | e2 != op(e1,op(e1,e2))
    | e2 != op(e0,op(e0,e2)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1811,plain,
    ( ~ spl0_37
    | ~ spl0_58
    | ~ spl0_231
    | ~ spl0_232 ),
    inference(avatar_split_clause,[],[f252,f1808,f1804,f978,f879]) ).

fof(f252,plain,
    ( e2 != op(op(e0,op(e0,e0)),op(e0,e0))
    | e4 != op(e0,op(e0,e0))
    | e1 != op(op(e0,e0),op(e0,e0))
    | op(e0,e0) != e3 ),
    inference(cnf_transformation,[],[f239]) ).

fof(f239,plain,
    ( e1 != op(op(e0,e0),op(e0,e0))
    | e4 != op(e0,op(e0,e0))
    | e2 != op(op(e0,op(e0,e0)),op(e0,e0))
    | op(e0,e0) != e3 ),
    inference(ennf_transformation,[],[f38]) ).

fof(f38,axiom,
    ~ ( op(e0,e0) = e3
      & e2 = op(op(e0,op(e0,e0)),op(e0,e0))
      & e4 = op(e0,op(e0,e0))
      & e1 = op(op(e0,e0),op(e0,e0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax38) ).

fof(f1802,plain,
    ( spl0_63
    | ~ spl0_87
    | spl0_64
    | spl0_62
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f497,f987,f995,f1003,f1103,f999]) ).

fof(f497,plain,
    ( e2 != op(e1,op(e1,e2))
    | e2 = op(e2,op(e2,e2))
    | e3 = op(e2,op(e3,e2))
    | e2 != op(e0,op(e0,e2))
    | e4 = op(e2,op(e4,e2)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1801,plain,
    ( ~ spl0_148
    | ~ spl0_67
    | ~ spl0_178
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f718,f1021,f1523,f1017,f1378]) ).

fof(f718,plain,
    ( e2 != op(e4,e4)
    | e1 != op(op(e4,e4),op(e4,e4))
    | e0 != op(op(e4,op(e4,e4)),op(e4,e4))
    | e3 != op(e4,op(e4,e4)) ),
    inference(cnf_transformation,[],[f187]) ).

fof(f187,plain,
    ( e0 != op(op(e4,op(e4,e4)),op(e4,e4))
    | e1 != op(op(e4,e4),op(e4,e4))
    | e2 != op(e4,e4)
    | e3 != op(e4,op(e4,e4)) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f36,axiom,
    ~ ( e1 = op(op(e4,e4),op(e4,e4))
      & e0 = op(op(e4,op(e4,e4)),op(e4,e4))
      & e2 = op(e4,e4)
      & e3 = op(e4,op(e4,e4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax36) ).

fof(f1800,plain,
    ( spl0_103
    | spl0_229
    | spl0_57
    | spl0_230
    | spl0_157 ),
    inference(avatar_split_clause,[],[f661,f1420,f1797,f973,f1793,f1175]) ).

fof(f1175,plain,
    ( spl0_103
  <=> e4 = op(e0,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f1420,plain,
    ( spl0_157
  <=> e4 = op(e0,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f661,plain,
    ( e4 = op(e0,e4)
    | e4 = op(e0,e3)
    | op(e0,e0) = e4
    | e4 = op(e0,e1)
    | e4 = op(e0,e2) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f1791,plain,
    ( spl0_227
    | spl0_190
    | spl0_70
    | spl0_196
    | spl0_228 ),
    inference(avatar_split_clause,[],[f274,f1788,f1612,f1030,f1584,f1784]) ).

fof(f1030,plain,
    ( spl0_70
  <=> e0 = op(e3,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f274,plain,
    ( e3 = op(e3,e2)
    | e4 = op(e3,e2)
    | e0 = op(e3,e2)
    | e1 = op(e3,e2)
    | e2 = op(e3,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f1782,plain,
    ( ~ spl0_9
    | ~ spl0_207
    | ~ spl0_6
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f679,f1229,f745,f1673,f757]) ).

fof(f679,plain,
    ( e3 != op(e2,e2)
    | e4 != op(op(e2,op(e2,e2)),op(e2,e2))
    | e1 != op(e2,op(e2,e2))
    | e0 != op(op(e2,e2),op(e2,e2)) ),
    inference(cnf_transformation,[],[f165]) ).

fof(f165,plain,
    ( e1 != op(e2,op(e2,e2))
    | e3 != op(e2,e2)
    | e4 != op(op(e2,op(e2,e2)),op(e2,e2))
    | e0 != op(op(e2,e2),op(e2,e2)) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f27,axiom,
    ~ ( e0 = op(op(e2,e2),op(e2,e2))
      & e4 = op(op(e2,op(e2,e2)),op(e2,e2))
      & e1 = op(e2,op(e2,e2))
      & e3 = op(e2,e2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax27) ).

fof(f1781,plain,
    ( ~ spl0_185
    | ~ spl0_178
    | ~ spl0_80
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f413,f1017,f1072,f1523,f1557]) ).

fof(f413,plain,
    ( e0 != op(op(e4,op(e4,e4)),op(e4,e4))
    | e3 != op(e4,e4)
    | e1 != op(op(e4,e4),op(e4,e4))
    | e2 != op(e4,op(e4,e4)) ),
    inference(cnf_transformation,[],[f138]) ).

fof(f138,plain,
    ( e1 != op(op(e4,e4),op(e4,e4))
    | e2 != op(e4,op(e4,e4))
    | e0 != op(op(e4,op(e4,e4)),op(e4,e4))
    | e3 != op(e4,e4) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f35,axiom,
    ~ ( e3 = op(e4,e4)
      & e0 = op(op(e4,op(e4,e4)),op(e4,e4))
      & e2 = op(e4,op(e4,e4))
      & e1 = op(op(e4,e4),op(e4,e4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax35) ).

fof(f1780,plain,
    ( ~ spl0_148
    | ~ spl0_84
    | ~ spl0_67
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f674,f1214,f1017,f1090,f1378]) ).

fof(f674,plain,
    ( e2 != op(op(e4,e4),op(e4,e4))
    | e0 != op(op(e4,op(e4,e4)),op(e4,e4))
    | e1 != op(e4,e4)
    | e3 != op(e4,op(e4,e4)) ),
    inference(cnf_transformation,[],[f191]) ).

fof(f191,plain,
    ( e3 != op(e4,op(e4,e4))
    | e2 != op(op(e4,e4),op(e4,e4))
    | e0 != op(op(e4,op(e4,e4)),op(e4,e4))
    | e1 != op(e4,e4) ),
    inference(ennf_transformation,[],[f60]) ).

fof(f60,axiom,
    ~ ( e3 = op(e4,op(e4,e4))
      & e1 = op(e4,e4)
      & e0 = op(op(e4,op(e4,e4)),op(e4,e4))
      & e2 = op(op(e4,e4),op(e4,e4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax60) ).

fof(f1779,plain,
    ~ spl0_226,
    inference(avatar_split_clause,[],[f322,f1776]) ).

fof(f1776,plain,
    ( spl0_226
  <=> op(e4,e0) = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_226])]) ).

fof(f322,plain,
    op(e4,e0) != op(e4,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f1774,plain,
    ( ~ spl0_36
    | ~ spl0_206
    | ~ spl0_59
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f710,f1307,f982,f1668,f875]) ).

fof(f710,plain,
    ( op(e0,e0) != e1
    | e2 != op(e0,op(e0,e0))
    | e3 != op(op(e0,e0),op(e0,e0))
    | e4 != op(op(e0,op(e0,e0)),op(e0,e0)) ),
    inference(cnf_transformation,[],[f220]) ).

fof(f220,plain,
    ( e4 != op(op(e0,op(e0,e0)),op(e0,e0))
    | e2 != op(e0,op(e0,e0))
    | op(e0,e0) != e1
    | e3 != op(op(e0,e0),op(e0,e0)) ),
    inference(ennf_transformation,[],[f98]) ).

fof(f98,axiom,
    ~ ( e4 = op(op(e0,op(e0,e0)),op(e0,e0))
      & e3 = op(op(e0,e0),op(e0,e0))
      & op(e0,e0) = e1
      & e2 = op(e0,op(e0,e0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax98) ).

fof(f1773,plain,
    ( ~ spl0_69
    | ~ spl0_225
    | ~ spl0_68
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f293,f1503,f1021,f1770,f1025]) ).

fof(f293,plain,
    ( e0 != op(op(e4,e4),op(e4,e4))
    | e2 != op(e4,e4)
    | e3 != op(op(e4,op(e4,e4)),op(e4,e4))
    | e1 != op(e4,op(e4,e4)) ),
    inference(cnf_transformation,[],[f198]) ).

fof(f198,plain,
    ( e0 != op(op(e4,e4),op(e4,e4))
    | e2 != op(e4,e4)
    | e3 != op(op(e4,op(e4,e4)),op(e4,e4))
    | e1 != op(e4,op(e4,e4)) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,axiom,
    ~ ( e1 = op(e4,op(e4,e4))
      & e0 = op(op(e4,e4),op(e4,e4))
      & e2 = op(e4,e4)
      & e3 = op(op(e4,op(e4,e4)),op(e4,e4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax23) ).

fof(f1768,plain,
    ( spl0_152
    | spl0_126
    | spl0_124
    | spl0_123
    | spl0_122 ),
    inference(avatar_split_clause,[],[f466,f1260,f1264,f1268,f1276,f1397]) ).

fof(f466,plain,
    ( e4 = op(e1,op(e4,e1))
    | e0 = op(e1,op(e0,e1))
    | e1 = op(e1,op(e1,e1))
    | e3 = op(e1,op(e3,e1))
    | e2 = op(e1,op(e2,e1)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1767,plain,
    ( spl0_24
    | spl0_21
    | spl0_22
    | spl0_48
    | spl0_20 ),
    inference(avatar_split_clause,[],[f590,f807,f929,f815,f811,f823]) ).

fof(f590,plain,
    ( e4 = op(e4,op(e4,e4))
    | e0 = op(e4,op(e0,e4))
    | e2 = op(e4,op(e2,e4))
    | e1 = op(e4,op(e1,e4))
    | e3 = op(e4,op(e3,e4)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1766,plain,
    ~ spl0_224,
    inference(avatar_split_clause,[],[f378,f1763]) ).

fof(f1763,plain,
    ( spl0_224
  <=> op(e3,e2) = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_224])]) ).

fof(f378,plain,
    op(e3,e2) != op(e3,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f1761,plain,
    ( ~ spl0_146
    | spl0_49
    | ~ spl0_44
    | ~ spl0_30
    | spl0_32 ),
    inference(avatar_split_clause,[],[f519,f857,f849,f911,f934,f1368]) ).

fof(f519,plain,
    ( e0 = op(e0,op(e0,e0))
    | e0 != op(e2,op(e2,e0))
    | e0 != op(e1,op(e1,e0))
    | e3 = op(e0,op(e3,e0))
    | e0 != op(e4,op(e4,e0)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1760,plain,
    ( ~ spl0_2
    | spl0_41
    | ~ spl0_5
    | ~ spl0_43
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f555,f736,f906,f740,f897,f728]) ).

fof(f555,plain,
    ( e3 != op(e0,op(e0,e3))
    | e3 != op(e4,op(e4,e3))
    | e3 != op(e2,op(e2,e3))
    | e1 = op(e3,op(e1,e3))
    | e3 != op(e3,op(e3,e3)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1759,plain,
    ( spl0_220
    | spl0_221
    | spl0_141
    | spl0_222
    | spl0_223 ),
    inference(avatar_split_clause,[],[f623,f1756,f1752,f1343,f1748,f1744]) ).

fof(f623,plain,
    ( e3 = op(e3,e1)
    | e3 = op(e4,e1)
    | e3 = op(e1,e1)
    | e3 = op(e0,e1)
    | e3 = op(e2,e1) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f1742,plain,
    ~ spl0_219,
    inference(avatar_split_clause,[],[f336,f1739]) ).

fof(f1739,plain,
    ( spl0_219
  <=> op(e0,e1) = op(e1,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_219])]) ).

fof(f336,plain,
    op(e0,e1) != op(e1,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f1737,plain,
    ~ spl0_218,
    inference(avatar_split_clause,[],[f325,f1734]) ).

fof(f1734,plain,
    ( spl0_218
  <=> op(e2,e0) = op(e3,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_218])]) ).

fof(f325,plain,
    op(e2,e0) != op(e3,e0),
    inference(cnf_transformation,[],[f4]) ).

fof(f1732,plain,
    ~ spl0_217,
    inference(avatar_split_clause,[],[f356,f1729]) ).

fof(f1729,plain,
    ( spl0_217
  <=> op(e1,e2) = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_217])]) ).

fof(f356,plain,
    op(e1,e2) != op(e4,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f1727,plain,
    ~ spl0_216,
    inference(avatar_split_clause,[],[f377,f1724]) ).

fof(f1724,plain,
    ( spl0_216
  <=> op(e3,e2) = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_216])]) ).

fof(f377,plain,
    op(e3,e2) != op(e4,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f1722,plain,
    ( ~ spl0_86
    | spl0_64
    | ~ spl0_60
    | spl0_62
    | spl0_61 ),
    inference(avatar_split_clause,[],[f473,f991,f995,f987,f1003,f1099]) ).

fof(f473,plain,
    ( e0 = op(e2,op(e0,e2))
    | e2 = op(e2,op(e2,e2))
    | e2 != op(e1,op(e1,e2))
    | e3 = op(e2,op(e3,e2))
    | e2 != op(e4,op(e4,e2)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1721,plain,
    ( ~ spl0_80
    | ~ spl0_69
    | ~ spl0_67
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f602,f1214,f1017,f1025,f1072]) ).

fof(f602,plain,
    ( e2 != op(op(e4,e4),op(e4,e4))
    | e0 != op(op(e4,op(e4,e4)),op(e4,e4))
    | e1 != op(e4,op(e4,e4))
    | e3 != op(e4,e4) ),
    inference(cnf_transformation,[],[f203]) ).

fof(f203,plain,
    ( e3 != op(e4,e4)
    | e2 != op(op(e4,e4),op(e4,e4))
    | e0 != op(op(e4,op(e4,e4)),op(e4,e4))
    | e1 != op(e4,op(e4,e4)) ),
    inference(ennf_transformation,[],[f59]) ).

fof(f59,axiom,
    ~ ( e0 = op(op(e4,op(e4,e4)),op(e4,e4))
      & e3 = op(e4,e4)
      & e2 = op(op(e4,e4),op(e4,e4))
      & e1 = op(e4,op(e4,e4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax59) ).

fof(f1720,plain,
    ( spl0_212
    | spl0_213
    | spl0_160
    | spl0_214
    | spl0_215 ),
    inference(avatar_split_clause,[],[f655,f1717,f1713,f1435,f1709,f1705]) ).

fof(f655,plain,
    ( e3 = op(e1,e3)
    | e3 = op(e2,e3)
    | e3 = op(e3,e3)
    | e3 = op(e0,e3)
    | e3 = op(e4,e3) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f1703,plain,
    ( ~ spl0_150
    | spl0_123
    | ~ spl0_125
    | ~ spl0_124
    | spl0_126 ),
    inference(avatar_split_clause,[],[f452,f1276,f1268,f1272,f1264,f1387]) ).

fof(f452,plain,
    ( e3 = op(e1,op(e3,e1))
    | e1 != op(e1,op(e1,e1))
    | e1 != op(e2,op(e2,e1))
    | e0 = op(e1,op(e0,e1))
    | e1 != op(e4,op(e4,e1)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1702,plain,
    ( ~ spl0_149
    | spl0_123
    | spl0_124
    | ~ spl0_125
    | spl0_122 ),
    inference(avatar_split_clause,[],[f449,f1260,f1272,f1268,f1264,f1383]) ).

fof(f449,plain,
    ( e4 = op(e1,op(e4,e1))
    | e1 != op(e2,op(e2,e1))
    | e1 = op(e1,op(e1,e1))
    | e0 = op(e1,op(e0,e1))
    | e1 != op(e3,op(e3,e1)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1701,plain,
    ( ~ spl0_149
    | ~ spl0_150
    | spl0_152
    | ~ spl0_124
    | spl0_123 ),
    inference(avatar_split_clause,[],[f467,f1264,f1268,f1397,f1387,f1383]) ).

fof(f467,plain,
    ( e0 = op(e1,op(e0,e1))
    | e1 != op(e1,op(e1,e1))
    | e2 = op(e1,op(e2,e1))
    | e1 != op(e4,op(e4,e1))
    | e1 != op(e3,op(e3,e1)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1700,plain,
    ( spl0_33
    | ~ spl0_44
    | spl0_49
    | spl0_45
    | spl0_32 ),
    inference(avatar_split_clause,[],[f511,f857,f915,f934,f911,f861]) ).

fof(f511,plain,
    ( e0 = op(e0,op(e0,e0))
    | e2 = op(e0,op(e2,e0))
    | e3 = op(e0,op(e3,e0))
    | e0 != op(e1,op(e1,e0))
    | e4 = op(e0,op(e4,e0)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1699,plain,
    ( ~ spl0_176
    | ~ spl0_175
    | ~ spl0_145
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f438,f1359,f1363,f1509,f1513]) ).

fof(f438,plain,
    ( e1 != op(op(e0,op(e0,e0)),op(e0,e0))
    | e3 != op(e0,op(e0,e0))
    | e4 != op(op(e0,e0),op(e0,e0))
    | op(e0,e0) != e2 ),
    inference(cnf_transformation,[],[f148]) ).

fof(f148,plain,
    ( e3 != op(e0,op(e0,e0))
    | e4 != op(op(e0,e0),op(e0,e0))
    | op(e0,e0) != e2
    | e1 != op(op(e0,op(e0,e0)),op(e0,e0)) ),
    inference(ennf_transformation,[],[f110]) ).

fof(f110,axiom,
    ~ ( e3 = op(e0,op(e0,e0))
      & op(e0,e0) = e2
      & e4 = op(op(e0,e0),op(e0,e0))
      & e1 = op(op(e0,op(e0,e0)),op(e0,e0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax110) ).

fof(f1698,plain,
    ( ~ spl0_34
    | ~ spl0_44
    | ~ spl0_146
    | spl0_45
    | spl0_32 ),
    inference(avatar_split_clause,[],[f504,f857,f915,f1368,f911,f865]) ).

fof(f504,plain,
    ( e0 = op(e0,op(e0,e0))
    | e2 = op(e0,op(e2,e0))
    | e0 != op(e4,op(e4,e0))
    | e0 != op(e1,op(e1,e0))
    | e0 != op(e3,op(e3,e0)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1697,plain,
    ( spl0_184
    | spl0_210
    | spl0_158
    | spl0_27
    | spl0_211 ),
    inference(avatar_split_clause,[],[f641,f1694,f836,f1424,f1690,f1552]) ).

fof(f836,plain,
    ( spl0_27
  <=> e4 = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f641,plain,
    ( e4 = op(e4,e3)
    | e4 = op(e4,e2)
    | e4 = op(e4,e4)
    | e4 = op(e4,e1)
    | e4 = op(e4,e0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f1688,plain,
    ( ~ spl0_106
    | ~ spl0_108
    | ~ spl0_13
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f295,f802,f774,f1197,f1189]) ).

fof(f295,plain,
    ( e4 != op(op(e3,op(e3,e3)),op(e3,e3))
    | e1 != op(e3,op(e3,e3))
    | e2 != op(e3,e3)
    | e0 != op(op(e3,e3),op(e3,e3)) ),
    inference(cnf_transformation,[],[f223]) ).

fof(f223,plain,
    ( e4 != op(op(e3,op(e3,e3)),op(e3,e3))
    | e2 != op(e3,e3)
    | e1 != op(e3,op(e3,e3))
    | e0 != op(op(e3,e3),op(e3,e3)) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f29,axiom,
    ~ ( e1 = op(e3,op(e3,e3))
      & e4 = op(op(e3,op(e3,e3)),op(e3,e3))
      & e0 = op(op(e3,e3),op(e3,e3))
      & e2 = op(e3,e3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax29) ).

fof(f1687,plain,
    spl0_209,
    inference(avatar_split_clause,[],[f702,f1684]) ).

fof(f1684,plain,
    ( spl0_209
  <=> e1 = op(e1,unit) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_209])]) ).

fof(f702,plain,
    e1 = op(e1,unit),
    inference(cnf_transformation,[],[f2]) ).

fof(f1682,plain,
    ~ spl0_208,
    inference(avatar_split_clause,[],[f369,f1679]) ).

fof(f1679,plain,
    ( spl0_208
  <=> op(e1,e1) = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_208])]) ).

fof(f369,plain,
    op(e1,e1) != op(e2,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f1677,plain,
    ( ~ spl0_159
    | ~ spl0_207
    | ~ spl0_6
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f720,f1138,f745,f1673,f1430]) ).

fof(f720,plain,
    ( e3 != op(op(e2,e2),op(e2,e2))
    | e4 != op(op(e2,op(e2,e2)),op(e2,e2))
    | e1 != op(e2,op(e2,e2))
    | e0 != op(e2,e2) ),
    inference(cnf_transformation,[],[f230]) ).

fof(f230,plain,
    ( e1 != op(e2,op(e2,e2))
    | e4 != op(op(e2,op(e2,e2)),op(e2,e2))
    | e0 != op(e2,e2)
    | e3 != op(op(e2,e2),op(e2,e2)) ),
    inference(ennf_transformation,[],[f102]) ).

fof(f102,axiom,
    ~ ( e0 = op(e2,e2)
      & e4 = op(op(e2,op(e2,e2)),op(e2,e2))
      & e1 = op(e2,op(e2,e2))
      & e3 = op(op(e2,e2),op(e2,e2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax102) ).

fof(f1676,plain,
    ( ~ spl0_195
    | ~ spl0_134
    | ~ spl0_207
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f308,f757,f1673,f1312,f1608]) ).

fof(f308,plain,
    ( e0 != op(op(e2,e2),op(e2,e2))
    | e1 != op(e2,op(e2,e2))
    | e3 != op(op(e2,op(e2,e2)),op(e2,e2))
    | e4 != op(e2,e2) ),
    inference(cnf_transformation,[],[f129]) ).

fof(f129,plain,
    ( e0 != op(op(e2,e2),op(e2,e2))
    | e1 != op(e2,op(e2,e2))
    | e4 != op(e2,e2)
    | e3 != op(op(e2,op(e2,e2)),op(e2,e2)) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,axiom,
    ~ ( e4 = op(e2,e2)
      & e0 = op(op(e2,e2),op(e2,e2))
      & e3 = op(op(e2,op(e2,e2)),op(e2,e2))
      & e1 = op(e2,op(e2,e2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax21) ).

fof(f1671,plain,
    ( ~ spl0_57
    | ~ spl0_206
    | ~ spl0_144
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f706,f982,f1359,f1668,f973]) ).

fof(f706,plain,
    ( e2 != op(e0,op(e0,e0))
    | e1 != op(op(e0,op(e0,e0)),op(e0,e0))
    | e3 != op(op(e0,e0),op(e0,e0))
    | op(e0,e0) != e4 ),
    inference(cnf_transformation,[],[f192]) ).

fof(f192,plain,
    ( e1 != op(op(e0,op(e0,e0)),op(e0,e0))
    | e3 != op(op(e0,e0),op(e0,e0))
    | e2 != op(e0,op(e0,e0))
    | op(e0,e0) != e4 ),
    inference(ennf_transformation,[],[f85]) ).

fof(f85,axiom,
    ~ ( e2 = op(e0,op(e0,e0))
      & e1 = op(op(e0,op(e0,e0)),op(e0,e0))
      & op(e0,e0) = e4
      & e3 = op(op(e0,e0),op(e0,e0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax85) ).

fof(f1666,plain,
    ~ spl0_205,
    inference(avatar_split_clause,[],[f344,f1663]) ).

fof(f1663,plain,
    ( spl0_205
  <=> op(e0,e2) = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_205])]) ).

fof(f344,plain,
    op(e0,e2) != op(e0,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f1661,plain,
    ~ spl0_204,
    inference(avatar_split_clause,[],[f610,f1658]) ).

fof(f1658,plain,
    ( spl0_204
  <=> e0 = e3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_204])]) ).

fof(f610,plain,
    e0 != e3,
    inference(cnf_transformation,[],[f5]) ).

fof(f1656,plain,
    ( ~ spl0_12
    | ~ spl0_109
    | ~ spl0_107
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f411,f779,f1193,f1201,f770]) ).

fof(f411,plain,
    ( e2 != op(op(e3,e3),op(e3,e3))
    | e1 != op(op(e3,op(e3,e3)),op(e3,e3))
    | e4 != op(e3,op(e3,e3))
    | e0 != op(e3,e3) ),
    inference(cnf_transformation,[],[f161]) ).

fof(f161,plain,
    ( e1 != op(op(e3,op(e3,e3)),op(e3,e3))
    | e4 != op(e3,op(e3,e3))
    | e0 != op(e3,e3)
    | e2 != op(op(e3,e3),op(e3,e3)) ),
    inference(ennf_transformation,[],[f64]) ).

fof(f64,axiom,
    ~ ( e1 = op(op(e3,op(e3,e3)),op(e3,e3))
      & e4 = op(e3,op(e3,e3))
      & e0 = op(e3,e3)
      & e2 = op(op(e3,e3),op(e3,e3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax64) ).

fof(f1655,plain,
    ( spl0_201
    | spl0_202
    | spl0_203
    | spl0_120
    | spl0_173 ),
    inference(avatar_split_clause,[],[f632,f1497,f1251,f1652,f1648,f1644]) ).

fof(f632,plain,
    ( e1 = op(e1,e3)
    | e1 = op(e3,e3)
    | e1 = op(e0,e3)
    | e1 = op(e2,e3)
    | e1 = op(e4,e3) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f1642,plain,
    ( ~ spl0_6
    | ~ spl0_115
    | ~ spl0_200
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f309,f1241,f1637,f1229,f745]) ).

fof(f309,plain,
    ( e0 != op(e2,op(e2,e2))
    | e1 != op(op(e2,e2),op(e2,e2))
    | e3 != op(e2,e2)
    | e4 != op(op(e2,op(e2,e2)),op(e2,e2)) ),
    inference(cnf_transformation,[],[f149]) ).

fof(f149,plain,
    ( e1 != op(op(e2,e2),op(e2,e2))
    | e4 != op(op(e2,op(e2,e2)),op(e2,e2))
    | e0 != op(e2,op(e2,e2))
    | e3 != op(e2,e2) ),
    inference(ennf_transformation,[],[f51]) ).

fof(f51,axiom,
    ~ ( e1 = op(op(e2,e2),op(e2,e2))
      & e4 = op(op(e2,op(e2,e2)),op(e2,e2))
      & e0 = op(e2,op(e2,e2))
      & e3 = op(e2,e2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax51) ).

fof(f1641,plain,
    ( ~ spl0_32
    | spl0_31
    | ~ spl0_30
    | spl0_49
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f525,f1368,f934,f849,f853,f857]) ).

fof(f525,plain,
    ( e0 != op(e4,op(e4,e0))
    | e3 = op(e0,op(e3,e0))
    | e0 != op(e2,op(e2,e0))
    | e1 = op(e0,op(e1,e0))
    | e0 != op(e0,op(e0,e0)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1640,plain,
    ( ~ spl0_8
    | ~ spl0_195
    | ~ spl0_94
    | ~ spl0_200 ),
    inference(avatar_split_clause,[],[f294,f1637,f1134,f1608,f753]) ).

fof(f294,plain,
    ( e1 != op(op(e2,e2),op(e2,e2))
    | e0 != op(op(e2,op(e2,e2)),op(e2,e2))
    | e4 != op(e2,e2)
    | e3 != op(e2,op(e2,e2)) ),
    inference(cnf_transformation,[],[f155]) ).

fof(f155,plain,
    ( e3 != op(e2,op(e2,e2))
    | e1 != op(op(e2,e2),op(e2,e2))
    | e0 != op(op(e2,op(e2,e2)),op(e2,e2))
    | e4 != op(e2,e2) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,axiom,
    ~ ( e3 = op(e2,op(e2,e2))
      & e4 = op(e2,e2)
      & e0 = op(op(e2,op(e2,e2)),op(e2,e2))
      & e1 = op(op(e2,e2),op(e2,e2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax31) ).

fof(f1635,plain,
    ~ spl0_199,
    inference(avatar_split_clause,[],[f323,f1632]) ).

fof(f1632,plain,
    ( spl0_199
  <=> op(e0,e2) = op(e0,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_199])]) ).

fof(f323,plain,
    op(e0,e2) != op(e0,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f1630,plain,
    ( ~ spl0_86
    | ~ spl0_62
    | spl0_64
    | spl0_61
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f477,f987,f991,f1003,f995,f1099]) ).

fof(f477,plain,
    ( e2 != op(e1,op(e1,e2))
    | e0 = op(e2,op(e0,e2))
    | e3 = op(e2,op(e3,e2))
    | e2 != op(e2,op(e2,e2))
    | e2 != op(e4,op(e4,e2)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1629,plain,
    ( ~ spl0_2
    | ~ spl0_1
    | spl0_42
    | ~ spl0_5
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f535,f906,f740,f901,f724,f728]) ).

fof(f535,plain,
    ( e3 != op(e4,op(e4,e3))
    | e3 != op(e2,op(e2,e3))
    | e0 = op(e3,op(e0,e3))
    | e3 != op(e1,op(e1,e3))
    | e3 != op(e3,op(e3,e3)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1628,plain,
    ( spl0_61
    | spl0_63
    | ~ spl0_60
    | spl0_62
    | spl0_64 ),
    inference(avatar_split_clause,[],[f489,f1003,f995,f987,f999,f991]) ).

fof(f489,plain,
    ( e3 = op(e2,op(e3,e2))
    | e2 = op(e2,op(e2,e2))
    | e2 != op(e1,op(e1,e2))
    | e4 = op(e2,op(e4,e2))
    | e0 = op(e2,op(e0,e2)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1627,plain,
    ~ spl0_198,
    inference(avatar_split_clause,[],[f384,f1624]) ).

fof(f1624,plain,
    ( spl0_198
  <=> op(e3,e3) = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_198])]) ).

fof(f384,plain,
    op(e3,e3) != op(e3,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f1622,plain,
    ( spl0_61
    | spl0_89
    | spl0_62
    | ~ spl0_86
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f472,f1107,f1099,f995,f1111,f991]) ).

fof(f472,plain,
    ( e2 != op(e3,op(e3,e2))
    | e2 != op(e4,op(e4,e2))
    | e2 = op(e2,op(e2,e2))
    | e1 = op(e2,op(e1,e2))
    | e0 = op(e2,op(e0,e2)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1621,plain,
    ( ~ spl0_47
    | ~ spl0_100
    | spl0_22
    | spl0_20
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f580,f819,f807,f815,f1162,f925]) ).

fof(f580,plain,
    ( e4 != op(e0,op(e0,e4))
    | e4 = op(e4,op(e4,e4))
    | e2 = op(e4,op(e2,e4))
    | e4 != op(e1,op(e1,e4))
    | e4 != op(e3,op(e3,e4)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1620,plain,
    spl0_197,
    inference(avatar_split_clause,[],[f700,f1617]) ).

fof(f1617,plain,
    ( spl0_197
  <=> e4 = op(unit,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_197])]) ).

fof(f700,plain,
    e4 = op(unit,e4),
    inference(cnf_transformation,[],[f2]) ).

fof(f1615,plain,
    ( spl0_194
    | spl0_195
    | spl0_103
    | spl0_196
    | spl0_27 ),
    inference(avatar_split_clause,[],[f658,f836,f1612,f1175,f1608,f1604]) ).

fof(f658,plain,
    ( e4 = op(e4,e2)
    | e4 = op(e3,e2)
    | e4 = op(e0,e2)
    | e4 = op(e2,e2)
    | e4 = op(e1,e2) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f1602,plain,
    ( spl0_191
    | spl0_159
    | spl0_192
    | spl0_193
    | spl0_166 ),
    inference(avatar_split_clause,[],[f671,f1462,f1599,f1595,f1430,f1591]) ).

fof(f671,plain,
    ( e0 = op(e2,e0)
    | e0 = op(e2,e1)
    | e0 = op(e2,e4)
    | e0 = op(e2,e2)
    | e0 = op(e2,e3) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f1589,plain,
    ( spl0_48
    | spl0_20
    | ~ spl0_40
    | ~ spl0_47
    | spl0_21 ),
    inference(avatar_split_clause,[],[f594,f811,f925,f892,f807,f929]) ).

fof(f594,plain,
    ( e1 = op(e4,op(e1,e4))
    | e4 != op(e3,op(e3,e4))
    | e4 != op(e2,op(e2,e4))
    | e4 = op(e4,op(e4,e4))
    | e0 = op(e4,op(e0,e4)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1588,plain,
    ( spl0_31
    | spl0_45
    | spl0_49
    | spl0_32
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f507,f1368,f857,f934,f915,f853]) ).

fof(f507,plain,
    ( e0 != op(e4,op(e4,e0))
    | e0 = op(e0,op(e0,e0))
    | e3 = op(e0,op(e3,e0))
    | e2 = op(e0,op(e2,e0))
    | e1 = op(e0,op(e1,e0)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1587,plain,
    ( spl0_120
    | spl0_131
    | spl0_82
    | spl0_189
    | spl0_190 ),
    inference(avatar_split_clause,[],[f665,f1584,f1580,f1082,f1299,f1251]) ).

fof(f1082,plain,
    ( spl0_82
  <=> e1 = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f665,plain,
    ( e1 = op(e3,e2)
    | e1 = op(e3,e1)
    | e1 = op(e3,e4)
    | e1 = op(e3,e0)
    | e1 = op(e3,e3) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f1578,plain,
    ( ~ spl0_107
    | ~ spl0_12
    | ~ spl0_10
    | ~ spl0_188 ),
    inference(avatar_split_clause,[],[f690,f1575,f762,f770,f1193]) ).

fof(f690,plain,
    ( e2 != op(e3,op(e3,e3))
    | e4 != op(op(e3,e3),op(e3,e3))
    | e0 != op(e3,e3)
    | e1 != op(op(e3,op(e3,e3)),op(e3,e3)) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f154,plain,
    ( e2 != op(e3,op(e3,e3))
    | e4 != op(op(e3,e3),op(e3,e3))
    | e1 != op(op(e3,op(e3,e3)),op(e3,e3))
    | e0 != op(e3,e3) ),
    inference(ennf_transformation,[],[f114]) ).

fof(f114,axiom,
    ~ ( e2 = op(e3,op(e3,e3))
      & e1 = op(op(e3,op(e3,e3)),op(e3,e3))
      & e4 = op(op(e3,e3),op(e3,e3))
      & e0 = op(e3,e3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax114) ).

fof(f1573,plain,
    ( spl0_76
    | spl0_73
    | spl0_187
    | spl0_155
    | spl0_82 ),
    inference(avatar_split_clause,[],[f268,f1082,f1412,f1570,f1042,f1056]) ).

fof(f268,plain,
    ( e1 = op(e3,e4)
    | e4 = op(e3,e4)
    | e2 = op(e3,e4)
    | e0 = op(e3,e4)
    | e3 = op(e3,e4) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f1568,plain,
    ( ~ spl0_93
    | ~ spl0_52
    | ~ spl0_51
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f415,f1125,f944,f948,f1129]) ).

fof(f415,plain,
    ( e0 != op(e1,op(e1,e1))
    | e3 != op(op(e1,op(e1,e1)),op(e1,e1))
    | e4 != op(op(e1,e1),op(e1,e1))
    | e2 != op(e1,e1) ),
    inference(cnf_transformation,[],[f144]) ).

fof(f144,plain,
    ( e0 != op(e1,op(e1,e1))
    | e3 != op(op(e1,op(e1,e1)),op(e1,e1))
    | e2 != op(e1,e1)
    | e4 != op(op(e1,e1),op(e1,e1)) ),
    inference(ennf_transformation,[],[f123]) ).

fof(f123,axiom,
    ~ ( e4 = op(op(e1,e1),op(e1,e1))
      & e3 = op(op(e1,op(e1,e1)),op(e1,e1))
      & e0 = op(e1,op(e1,e1))
      & e2 = op(e1,e1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax123) ).

fof(f1567,plain,
    ~ spl0_186,
    inference(avatar_split_clause,[],[f393,f1564]) ).

fof(f1564,plain,
    ( spl0_186
  <=> op(e2,e1) = op(e2,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).

fof(f393,plain,
    op(e2,e1) != op(e2,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f1562,plain,
    ( spl0_2
    | ~ spl0_1
    | spl0_3
    | spl0_170
    | spl0_42 ),
    inference(avatar_split_clause,[],[f546,f901,f1483,f732,f724,f728]) ).

fof(f546,plain,
    ( e0 = op(e3,op(e0,e3))
    | e2 = op(e3,op(e2,e3))
    | e4 = op(e3,op(e4,e3))
    | e3 != op(e1,op(e1,e3))
    | e3 = op(e3,op(e3,e3)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1561,plain,
    ( spl0_137
    | spl0_70
    | spl0_159
    | spl0_101
    | spl0_29 ),
    inference(avatar_split_clause,[],[f664,f844,f1167,f1430,f1030,f1325]) ).

fof(f664,plain,
    ( e0 = op(e4,e2)
    | e0 = op(e0,e2)
    | e0 = op(e2,e2)
    | e0 = op(e3,e2)
    | e0 = op(e1,e2) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f1560,plain,
    ( ~ spl0_185
    | ~ spl0_111
    | ~ spl0_66
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f301,f1374,f1013,f1210,f1557]) ).

fof(f301,plain,
    ( e0 != op(e4,e4)
    | e3 != op(op(e4,e4),op(e4,e4))
    | e1 != op(op(e4,op(e4,e4)),op(e4,e4))
    | e2 != op(e4,op(e4,e4)) ),
    inference(cnf_transformation,[],[f222]) ).

fof(f222,plain,
    ( e2 != op(e4,op(e4,e4))
    | e3 != op(op(e4,e4),op(e4,e4))
    | e0 != op(e4,e4)
    | e1 != op(op(e4,op(e4,e4)),op(e4,e4)) ),
    inference(ennf_transformation,[],[f90]) ).

fof(f90,axiom,
    ~ ( e2 = op(e4,op(e4,e4))
      & e3 = op(op(e4,e4),op(e4,e4))
      & e1 = op(op(e4,op(e4,e4)),op(e4,e4))
      & e0 = op(e4,e4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax90) ).

fof(f1555,plain,
    ( spl0_129
    | spl0_182
    | spl0_183
    | spl0_184
    | spl0_164 ),
    inference(avatar_split_clause,[],[f263,f1454,f1552,f1548,f1544,f1291]) ).

fof(f263,plain,
    ( e0 = op(e4,e0)
    | e4 = op(e4,e0)
    | e3 = op(e4,e0)
    | e2 = op(e4,e0)
    | e1 = op(e4,e0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f1542,plain,
    ( ~ spl0_169
    | ~ spl0_80
    | ~ spl0_174
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f307,f1025,f1503,f1072,f1478]) ).

fof(f307,plain,
    ( e1 != op(e4,op(e4,e4))
    | e0 != op(op(e4,e4),op(e4,e4))
    | e3 != op(e4,e4)
    | e2 != op(op(e4,op(e4,e4)),op(e4,e4)) ),
    inference(cnf_transformation,[],[f236]) ).

fof(f236,plain,
    ( e1 != op(e4,op(e4,e4))
    | e3 != op(e4,e4)
    | e0 != op(op(e4,e4),op(e4,e4))
    | e2 != op(op(e4,op(e4,e4)),op(e4,e4)) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f17,axiom,
    ~ ( e1 = op(e4,op(e4,e4))
      & e2 = op(op(e4,op(e4,e4)),op(e4,e4))
      & e0 = op(op(e4,e4),op(e4,e4))
      & e3 = op(e4,e4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).

fof(f1541,plain,
    ( ~ spl0_43
    | ~ spl0_1
    | spl0_2
    | ~ spl0_4
    | spl0_170 ),
    inference(avatar_split_clause,[],[f548,f1483,f736,f728,f724,f906]) ).

fof(f548,plain,
    ( e2 = op(e3,op(e2,e3))
    | e3 != op(e0,op(e0,e3))
    | e3 = op(e3,op(e3,e3))
    | e3 != op(e1,op(e1,e3))
    | e3 != op(e4,op(e4,e3)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1540,plain,
    ~ spl0_181,
    inference(avatar_split_clause,[],[f381,f1537]) ).

fof(f1537,plain,
    ( spl0_181
  <=> op(e1,e1) = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).

fof(f381,plain,
    op(e1,e1) != op(e4,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f1535,plain,
    ( spl0_157
    | spl0_83
    | spl0_179
    | spl0_79
    | spl0_180 ),
    inference(avatar_split_clause,[],[f272,f1532,f1068,f1528,f1086,f1420]) ).

fof(f272,plain,
    ( e2 = op(e0,e4)
    | e3 = op(e0,e4)
    | e0 = op(e0,e4)
    | e1 = op(e0,e4)
    | e4 = op(e0,e4) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f1526,plain,
    ( ~ spl0_148
    | ~ spl0_178
    | ~ spl0_147
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f287,f1478,f1374,f1523,f1378]) ).

fof(f287,plain,
    ( e2 != op(op(e4,op(e4,e4)),op(e4,e4))
    | e0 != op(e4,e4)
    | e1 != op(op(e4,e4),op(e4,e4))
    | e3 != op(e4,op(e4,e4)) ),
    inference(cnf_transformation,[],[f208]) ).

fof(f208,plain,
    ( e2 != op(op(e4,op(e4,e4)),op(e4,e4))
    | e1 != op(op(e4,e4),op(e4,e4))
    | e3 != op(e4,op(e4,e4))
    | e0 != op(e4,e4) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f42,axiom,
    ~ ( e0 = op(e4,e4)
      & e2 = op(op(e4,op(e4,e4)),op(e4,e4))
      & e1 = op(op(e4,e4),op(e4,e4))
      & e3 = op(e4,op(e4,e4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax42) ).

fof(f1521,plain,
    ~ spl0_177,
    inference(avatar_split_clause,[],[f346,f1518]) ).

fof(f1518,plain,
    ( spl0_177
  <=> op(e3,e4) = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f346,plain,
    op(e3,e4) != op(e4,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f1516,plain,
    ( ~ spl0_56
    | ~ spl0_175
    | ~ spl0_38
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f607,f1513,f883,f1509,f969]) ).

fof(f607,plain,
    ( op(e0,e0) != e2
    | e1 != op(e0,op(e0,e0))
    | e4 != op(op(e0,e0),op(e0,e0))
    | e3 != op(op(e0,op(e0,e0)),op(e0,e0)) ),
    inference(cnf_transformation,[],[f157]) ).

fof(f157,plain,
    ( op(e0,e0) != e2
    | e1 != op(e0,op(e0,e0))
    | e3 != op(op(e0,op(e0,e0)),op(e0,e0))
    | e4 != op(op(e0,e0),op(e0,e0)) ),
    inference(ennf_transformation,[],[f121]) ).

fof(f121,axiom,
    ~ ( e1 = op(e0,op(e0,e0))
      & op(e0,e0) = e2
      & e3 = op(op(e0,op(e0,e0)),op(e0,e0))
      & e4 = op(op(e0,e0),op(e0,e0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax121) ).

fof(f1507,plain,
    ( spl0_123
    | ~ spl0_124
    | spl0_122
    | spl0_152
    | spl0_126 ),
    inference(avatar_split_clause,[],[f470,f1276,f1397,f1260,f1268,f1264]) ).

fof(f470,plain,
    ( e3 = op(e1,op(e3,e1))
    | e2 = op(e1,op(e2,e1))
    | e4 = op(e1,op(e4,e1))
    | e1 != op(e1,op(e1,e1))
    | e0 = op(e1,op(e0,e1)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1506,plain,
    ( ~ spl0_148
    | ~ spl0_84
    | ~ spl0_174
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f286,f1478,f1503,f1090,f1378]) ).

fof(f286,plain,
    ( e2 != op(op(e4,op(e4,e4)),op(e4,e4))
    | e0 != op(op(e4,e4),op(e4,e4))
    | e1 != op(e4,e4)
    | e3 != op(e4,op(e4,e4)) ),
    inference(cnf_transformation,[],[f218]) ).

fof(f218,plain,
    ( e2 != op(op(e4,op(e4,e4)),op(e4,e4))
    | e1 != op(e4,e4)
    | e3 != op(e4,op(e4,e4))
    | e0 != op(op(e4,e4),op(e4,e4)) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,axiom,
    ~ ( e0 = op(op(e4,e4),op(e4,e4))
      & e1 = op(e4,e4)
      & e3 = op(e4,op(e4,e4))
      & e2 = op(op(e4,op(e4,e4)),op(e4,e4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).

fof(f1501,plain,
    ( ~ spl0_151
    | spl0_152
    | ~ spl0_124
    | spl0_126
    | spl0_122 ),
    inference(avatar_split_clause,[],[f462,f1260,f1276,f1268,f1397,f1393]) ).

fof(f462,plain,
    ( e4 = op(e1,op(e4,e1))
    | e3 = op(e1,op(e3,e1))
    | e1 != op(e1,op(e1,e1))
    | e2 = op(e1,op(e2,e1))
    | e1 != op(e0,op(e0,e1)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1500,plain,
    ( spl0_171
    | spl0_132
    | spl0_172
    | spl0_81
    | spl0_173 ),
    inference(avatar_split_clause,[],[f668,f1497,f1078,f1493,f1303,f1489]) ).

fof(f668,plain,
    ( e1 = op(e1,e3)
    | e1 = op(e1,e4)
    | e1 = op(e1,e1)
    | e1 = op(e1,e0)
    | e1 = op(e1,e2) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f1487,plain,
    ( ~ spl0_91
    | ~ spl0_93
    | ~ spl0_140
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f604,f1449,f1339,f1129,f1120]) ).

fof(f604,plain,
    ( e3 != op(e1,op(e1,e1))
    | e0 != op(op(e1,e1),op(e1,e1))
    | e2 != op(e1,e1)
    | e4 != op(op(e1,op(e1,e1)),op(e1,e1)) ),
    inference(cnf_transformation,[],[f246]) ).

fof(f246,plain,
    ( e4 != op(op(e1,op(e1,e1)),op(e1,e1))
    | e2 != op(e1,e1)
    | e3 != op(e1,op(e1,e1))
    | e0 != op(op(e1,e1),op(e1,e1)) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f26,axiom,
    ~ ( e2 = op(e1,e1)
      & e4 = op(op(e1,op(e1,e1)),op(e1,e1))
      & e3 = op(e1,op(e1,e1))
      & e0 = op(op(e1,e1),op(e1,e1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).

fof(f1486,plain,
    ( spl0_3
    | ~ spl0_2
    | spl0_42
    | spl0_170
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f538,f724,f1483,f901,f728,f732]) ).

fof(f538,plain,
    ( e3 != op(e1,op(e1,e3))
    | e2 = op(e3,op(e2,e3))
    | e0 = op(e3,op(e0,e3))
    | e3 != op(e3,op(e3,e3))
    | e4 = op(e3,op(e4,e3)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1481,plain,
    ( ~ spl0_69
    | ~ spl0_66
    | ~ spl0_147
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f302,f1478,f1374,f1013,f1025]) ).

fof(f302,plain,
    ( e2 != op(op(e4,op(e4,e4)),op(e4,e4))
    | e0 != op(e4,e4)
    | e3 != op(op(e4,e4),op(e4,e4))
    | e1 != op(e4,op(e4,e4)) ),
    inference(cnf_transformation,[],[f201]) ).

fof(f201,plain,
    ( e3 != op(op(e4,e4),op(e4,e4))
    | e0 != op(e4,e4)
    | e1 != op(e4,op(e4,e4))
    | e2 != op(op(e4,op(e4,e4)),op(e4,e4)) ),
    inference(ennf_transformation,[],[f96]) ).

fof(f96,axiom,
    ~ ( e2 = op(op(e4,op(e4,e4)),op(e4,e4))
      & e3 = op(op(e4,e4),op(e4,e4))
      & e0 = op(e4,e4)
      & e1 = op(e4,op(e4,e4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax96) ).

fof(f1476,plain,
    ( ~ spl0_54
    | ~ spl0_119
    | ~ spl0_140
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f279,f944,f1339,f1246,f956]) ).

fof(f279,plain,
    ( e3 != op(op(e1,op(e1,e1)),op(e1,e1))
    | e0 != op(op(e1,e1),op(e1,e1))
    | e4 != op(e1,e1)
    | e2 != op(e1,op(e1,e1)) ),
    inference(cnf_transformation,[],[f145]) ).

fof(f145,plain,
    ( e3 != op(op(e1,op(e1,e1)),op(e1,e1))
    | e0 != op(op(e1,e1),op(e1,e1))
    | e4 != op(e1,e1)
    | e2 != op(e1,op(e1,e1)) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f19,axiom,
    ~ ( e4 = op(e1,e1)
      & e3 = op(op(e1,op(e1,e1)),op(e1,e1))
      & e2 = op(e1,op(e1,e1))
      & e0 = op(op(e1,e1),op(e1,e1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax19) ).

fof(f1475,plain,
    ~ spl0_168,
    inference(avatar_split_clause,[],[f388,f1472]) ).

fof(f1472,plain,
    ( spl0_168
  <=> op(e2,e1) = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f388,plain,
    op(e2,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f1470,plain,
    ~ spl0_167,
    inference(avatar_split_clause,[],[f389,f1467]) ).

fof(f1467,plain,
    ( spl0_167
  <=> op(e1,e3) = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f389,plain,
    op(e1,e3) != op(e3,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f1465,plain,
    ( spl0_136
    | spl0_164
    | spl0_71
    | spl0_165
    | spl0_166 ),
    inference(avatar_split_clause,[],[f645,f1462,f1458,f1034,f1454,f1321]) ).

fof(f645,plain,
    ( e0 = op(e2,e0)
    | e0 = op(e0,e0)
    | e0 = op(e3,e0)
    | e0 = op(e4,e0)
    | e0 = op(e1,e0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f1452,plain,
    ( ~ spl0_52
    | ~ spl0_162
    | ~ spl0_163
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f416,f1129,f1449,f1445,f948]) ).

fof(f416,plain,
    ( e2 != op(e1,e1)
    | e3 != op(e1,op(e1,e1))
    | e0 != op(op(e1,op(e1,e1)),op(e1,e1))
    | e4 != op(op(e1,e1),op(e1,e1)) ),
    inference(cnf_transformation,[],[f228]) ).

fof(f228,plain,
    ( e0 != op(op(e1,op(e1,e1)),op(e1,e1))
    | e2 != op(e1,e1)
    | e3 != op(e1,op(e1,e1))
    | e4 != op(op(e1,e1),op(e1,e1)) ),
    inference(ennf_transformation,[],[f104]) ).

fof(f104,axiom,
    ~ ( e3 = op(e1,op(e1,e1))
      & e0 = op(op(e1,op(e1,e1)),op(e1,e1))
      & e2 = op(e1,e1)
      & e4 = op(op(e1,e1),op(e1,e1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax104) ).

fof(f1443,plain,
    ~ spl0_161,
    inference(avatar_split_clause,[],[f319,f1440]) ).

fof(f1440,plain,
    ( spl0_161
  <=> op(e3,e1) = op(e3,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f319,plain,
    op(e3,e1) != op(e3,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f1438,plain,
    ( spl0_160
    | spl0_120
    | spl0_16
    | spl0_12
    | spl0_108 ),
    inference(avatar_split_clause,[],[f276,f1197,f770,f787,f1251,f1435]) ).

fof(f276,plain,
    ( e2 = op(e3,e3)
    | e0 = op(e3,e3)
    | e4 = op(e3,e3)
    | e1 = op(e3,e3)
    | e3 = op(e3,e3) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f1433,plain,
    ( ~ spl0_8
    | ~ spl0_159
    | ~ spl0_117
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f712,f1233,f1237,f1430,f753]) ).

fof(f712,plain,
    ( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
    | e4 != op(op(e2,e2),op(e2,e2))
    | e0 != op(e2,e2)
    | e3 != op(e2,op(e2,e2)) ),
    inference(cnf_transformation,[],[f206]) ).

fof(f206,plain,
    ( e4 != op(op(e2,e2),op(e2,e2))
    | e1 != op(op(e2,op(e2,e2)),op(e2,e2))
    | e3 != op(e2,op(e2,e2))
    | e0 != op(e2,e2) ),
    inference(ennf_transformation,[],[f112]) ).

fof(f112,axiom,
    ~ ( e4 = op(op(e2,e2),op(e2,e2))
      & e0 = op(e2,e2)
      & e1 = op(op(e2,op(e2,e2)),op(e2,e2))
      & e3 = op(e2,op(e2,e2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax112) ).

fof(f1428,plain,
    ( ~ spl0_7
    | ~ spl0_118
    | ~ spl0_95
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f672,f745,f1138,f1241,f749]) ).

fof(f672,plain,
    ( e4 != op(op(e2,op(e2,e2)),op(e2,e2))
    | e3 != op(op(e2,e2),op(e2,e2))
    | e0 != op(e2,op(e2,e2))
    | e1 != op(e2,e2) ),
    inference(cnf_transformation,[],[f234]) ).

fof(f234,plain,
    ( e0 != op(e2,op(e2,e2))
    | e4 != op(op(e2,op(e2,e2)),op(e2,e2))
    | e1 != op(e2,e2)
    | e3 != op(op(e2,e2),op(e2,e2)) ),
    inference(ennf_transformation,[],[f101]) ).

fof(f101,axiom,
    ~ ( e4 = op(op(e2,op(e2,e2)),op(e2,e2))
      & e3 = op(op(e2,e2),op(e2,e2))
      & e1 = op(e2,e2)
      & e0 = op(e2,op(e2,e2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax101) ).

fof(f1427,plain,
    ( spl0_154
    | spl0_155
    | spl0_156
    | spl0_157
    | spl0_158 ),
    inference(avatar_split_clause,[],[f663,f1424,f1420,f1416,f1412,f1408]) ).

fof(f663,plain,
    ( e4 = op(e4,e4)
    | e4 = op(e0,e4)
    | e4 = op(e2,e4)
    | e4 = op(e3,e4)
    | e4 = op(e1,e4) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f1406,plain,
    ( ~ spl0_23
    | ~ spl0_40
    | ~ spl0_100
    | ~ spl0_47
    | spl0_20 ),
    inference(avatar_split_clause,[],[f576,f807,f925,f1162,f892,f819]) ).

fof(f576,plain,
    ( e4 = op(e4,op(e4,e4))
    | e4 != op(e3,op(e3,e4))
    | e4 != op(e1,op(e1,e4))
    | e4 != op(e2,op(e2,e4))
    | e4 != op(e0,op(e0,e4)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1405,plain,
    ~ spl0_153,
    inference(avatar_split_clause,[],[f619,f1402]) ).

fof(f1402,plain,
    ( spl0_153
  <=> e1 = e2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f619,plain,
    e1 != e2,
    inference(cnf_transformation,[],[f5]) ).

fof(f1400,plain,
    ( ~ spl0_149
    | spl0_124
    | ~ spl0_150
    | ~ spl0_151
    | spl0_152 ),
    inference(avatar_split_clause,[],[f455,f1397,f1393,f1387,f1268,f1383]) ).

fof(f455,plain,
    ( e2 = op(e1,op(e2,e1))
    | e1 != op(e0,op(e0,e1))
    | e1 != op(e4,op(e4,e1))
    | e1 = op(e1,op(e1,e1))
    | e1 != op(e3,op(e3,e1)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1391,plain,
    ( ~ spl0_32
    | spl0_49
    | ~ spl0_44
    | spl0_45
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f505,f1368,f915,f911,f934,f857]) ).

fof(f505,plain,
    ( e0 != op(e4,op(e4,e0))
    | e2 = op(e0,op(e2,e0))
    | e0 != op(e1,op(e1,e0))
    | e3 = op(e0,op(e3,e0))
    | e0 != op(e0,op(e0,e0)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1390,plain,
    ( spl0_123
    | ~ spl0_125
    | spl0_124
    | ~ spl0_149
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f447,f1387,f1383,f1268,f1272,f1264]) ).

fof(f447,plain,
    ( e1 != op(e4,op(e4,e1))
    | e1 != op(e3,op(e3,e1))
    | e1 = op(e1,op(e1,e1))
    | e1 != op(e2,op(e2,e1))
    | e0 = op(e1,op(e0,e1)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1381,plain,
    ( ~ spl0_147
    | ~ spl0_112
    | ~ spl0_111
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f299,f1378,f1210,f1214,f1374]) ).

fof(f299,plain,
    ( e3 != op(e4,op(e4,e4))
    | e1 != op(op(e4,op(e4,e4)),op(e4,e4))
    | e2 != op(op(e4,e4),op(e4,e4))
    | e0 != op(e4,e4) ),
    inference(cnf_transformation,[],[f151]) ).

fof(f151,plain,
    ( e1 != op(op(e4,op(e4,e4)),op(e4,e4))
    | e2 != op(op(e4,e4),op(e4,e4))
    | e0 != op(e4,e4)
    | e3 != op(e4,op(e4,e4)) ),
    inference(ennf_transformation,[],[f66]) ).

fof(f66,axiom,
    ~ ( e0 = op(e4,e4)
      & e3 = op(e4,op(e4,e4))
      & e1 = op(op(e4,op(e4,e4)),op(e4,e4))
      & e2 = op(op(e4,e4),op(e4,e4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax66) ).

fof(f1372,plain,
    ( ~ spl0_30
    | spl0_32
    | spl0_33
    | spl0_49
    | spl0_31 ),
    inference(avatar_split_clause,[],[f531,f853,f934,f861,f857,f849]) ).

fof(f531,plain,
    ( e1 = op(e0,op(e1,e0))
    | e3 = op(e0,op(e3,e0))
    | e4 = op(e0,op(e4,e0))
    | e0 = op(e0,op(e0,e0))
    | e0 != op(e2,op(e2,e0)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1371,plain,
    ( ~ spl0_44
    | ~ spl0_30
    | ~ spl0_146
    | ~ spl0_34
    | spl0_32 ),
    inference(avatar_split_clause,[],[f520,f857,f865,f1368,f849,f911]) ).

fof(f520,plain,
    ( e0 = op(e0,op(e0,e0))
    | e0 != op(e3,op(e3,e0))
    | e0 != op(e4,op(e4,e0))
    | e0 != op(e2,op(e2,e0))
    | e0 != op(e1,op(e1,e0)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1366,plain,
    ( ~ spl0_144
    | ~ spl0_39
    | ~ spl0_57
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f437,f1363,f973,f887,f1359]) ).

fof(f437,plain,
    ( e3 != op(e0,op(e0,e0))
    | op(e0,e0) != e4
    | e2 != op(op(e0,e0),op(e0,e0))
    | e1 != op(op(e0,op(e0,e0)),op(e0,e0)) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f135,plain,
    ( op(e0,e0) != e4
    | e1 != op(op(e0,op(e0,e0)),op(e0,e0))
    | e2 != op(op(e0,e0),op(e0,e0))
    | e3 != op(e0,op(e0,e0)) ),
    inference(ennf_transformation,[],[f61]) ).

fof(f61,axiom,
    ~ ( e2 = op(op(e0,e0),op(e0,e0))
      & e3 = op(e0,op(e0,e0))
      & op(e0,e0) = e4
      & e1 = op(op(e0,op(e0,e0)),op(e0,e0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax61) ).

fof(f1357,plain,
    ~ spl0_143,
    inference(avatar_split_clause,[],[f337,f1354]) ).

fof(f1354,plain,
    ( spl0_143
  <=> op(e4,e2) = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f337,plain,
    op(e4,e2) != op(e4,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f1352,plain,
    ~ spl0_142,
    inference(avatar_split_clause,[],[f357,f1349]) ).

fof(f1349,plain,
    ( spl0_142
  <=> op(e2,e4) = op(e3,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f357,plain,
    op(e2,e4) != op(e3,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f1347,plain,
    ( spl0_63
    | ~ spl0_60
    | spl0_64
    | ~ spl0_87
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f501,f995,f1103,f1003,f987,f999]) ).

fof(f501,plain,
    ( e2 != op(e2,op(e2,e2))
    | e2 != op(e0,op(e0,e2))
    | e3 = op(e2,op(e3,e2))
    | e2 != op(e1,op(e1,e2))
    | e4 = op(e2,op(e4,e2)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1346,plain,
    ( ~ spl0_140
    | ~ spl0_141
    | ~ spl0_54
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f608,f1120,f956,f1343,f1339]) ).

fof(f608,plain,
    ( e4 != op(op(e1,op(e1,e1)),op(e1,e1))
    | e2 != op(e1,op(e1,e1))
    | e3 != op(e1,e1)
    | e0 != op(op(e1,e1),op(e1,e1)) ),
    inference(cnf_transformation,[],[f146]) ).

fof(f146,plain,
    ( e3 != op(e1,e1)
    | e4 != op(op(e1,op(e1,e1)),op(e1,e1))
    | e0 != op(op(e1,e1),op(e1,e1))
    | e2 != op(e1,op(e1,e1)) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f25,axiom,
    ~ ( e4 = op(op(e1,op(e1,e1)),op(e1,e1))
      & e3 = op(e1,e1)
      & e2 = op(e1,op(e1,e1))
      & e0 = op(op(e1,e1),op(e1,e1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax25) ).

fof(f1337,plain,
    ~ spl0_139,
    inference(avatar_split_clause,[],[f354,f1334]) ).

fof(f1334,plain,
    ( spl0_139
  <=> op(e1,e3) = op(e2,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f354,plain,
    op(e1,e3) != op(e2,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f1332,plain,
    ( spl0_53
    | spl0_135
    | spl0_136
    | spl0_137
    | spl0_138 ),
    inference(avatar_split_clause,[],[f670,f1329,f1325,f1321,f1317,f952]) ).

fof(f670,plain,
    ( e0 = op(e1,e4)
    | e0 = op(e1,e2)
    | e0 = op(e1,e0)
    | e0 = op(e1,e3)
    | e0 = op(e1,e1) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f1315,plain,
    ( ~ spl0_9
    | ~ spl0_134
    | ~ spl0_7
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f705,f1142,f749,f1312,f757]) ).

fof(f705,plain,
    ( e4 != op(e2,op(e2,e2))
    | e1 != op(e2,e2)
    | e3 != op(op(e2,op(e2,e2)),op(e2,e2))
    | e0 != op(op(e2,e2),op(e2,e2)) ),
    inference(cnf_transformation,[],[f162]) ).

fof(f162,plain,
    ( e1 != op(e2,e2)
    | e3 != op(op(e2,op(e2,e2)),op(e2,e2))
    | e0 != op(op(e2,e2),op(e2,e2))
    | e4 != op(e2,op(e2,e2)) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f22,axiom,
    ~ ( e4 = op(e2,op(e2,e2))
      & e3 = op(op(e2,op(e2,e2)),op(e2,e2))
      & e1 = op(e2,e2)
      & e0 = op(op(e2,e2),op(e2,e2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax22) ).

fof(f1310,plain,
    ( spl0_129
    | spl0_130
    | spl0_131
    | spl0_132
    | spl0_133 ),
    inference(avatar_split_clause,[],[f666,f1307,f1303,f1299,f1295,f1291]) ).

fof(f666,plain,
    ( op(e0,e0) = e1
    | e1 = op(e1,e0)
    | e1 = op(e3,e0)
    | e1 = op(e2,e0)
    | e1 = op(e4,e0) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f1289,plain,
    ~ spl0_128,
    inference(avatar_split_clause,[],[f402,f1286]) ).

fof(f1286,plain,
    ( spl0_128
  <=> op(e4,e0) = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f402,plain,
    op(e4,e0) != op(e4,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f1284,plain,
    ~ spl0_127,
    inference(avatar_split_clause,[],[f349,f1281]) ).

fof(f1281,plain,
    ( spl0_127
  <=> op(e2,e0) = op(e4,e0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f349,plain,
    op(e2,e0) != op(e4,e0),
    inference(cnf_transformation,[],[f4]) ).

fof(f1279,plain,
    ( spl0_122
    | spl0_123
    | spl0_124
    | ~ spl0_125
    | spl0_126 ),
    inference(avatar_split_clause,[],[f450,f1276,f1272,f1268,f1264,f1260]) ).

fof(f450,plain,
    ( e3 = op(e1,op(e3,e1))
    | e1 != op(e2,op(e2,e1))
    | e1 = op(e1,op(e1,e1))
    | e0 = op(e1,op(e0,e1))
    | e4 = op(e1,op(e4,e1)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1258,plain,
    ( ~ spl0_10
    | ~ spl0_120
    | ~ spl0_121
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f677,f766,f1255,f1251,f762]) ).

fof(f677,plain,
    ( e2 != op(op(e3,op(e3,e3)),op(e3,e3))
    | e0 != op(e3,op(e3,e3))
    | e1 != op(e3,e3)
    | e4 != op(op(e3,e3),op(e3,e3)) ),
    inference(cnf_transformation,[],[f227]) ).

fof(f227,plain,
    ( e4 != op(op(e3,e3),op(e3,e3))
    | e1 != op(e3,e3)
    | e0 != op(e3,op(e3,e3))
    | e2 != op(op(e3,op(e3,e3)),op(e3,e3)) ),
    inference(ennf_transformation,[],[f119]) ).

fof(f119,axiom,
    ~ ( e2 = op(op(e3,op(e3,e3)),op(e3,e3))
      & e1 = op(e3,e3)
      & e4 = op(op(e3,e3),op(e3,e3))
      & e0 = op(e3,op(e3,e3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax119) ).

fof(f1249,plain,
    ( ~ spl0_74
    | ~ spl0_119
    | ~ spl0_92
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f621,f944,f1125,f1246,f1047]) ).

fof(f621,plain,
    ( e3 != op(op(e1,op(e1,e1)),op(e1,e1))
    | e0 != op(e1,op(e1,e1))
    | e4 != op(e1,e1)
    | e2 != op(op(e1,e1),op(e1,e1)) ),
    inference(cnf_transformation,[],[f197]) ).

fof(f197,plain,
    ( e0 != op(e1,op(e1,e1))
    | e3 != op(op(e1,op(e1,e1)),op(e1,e1))
    | e2 != op(op(e1,e1),op(e1,e1))
    | e4 != op(e1,e1) ),
    inference(ennf_transformation,[],[f69]) ).

fof(f69,axiom,
    ~ ( e4 = op(e1,e1)
      & e2 = op(op(e1,e1),op(e1,e1))
      & e3 = op(op(e1,op(e1,e1)),op(e1,e1))
      & e0 = op(e1,op(e1,e1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax69) ).

fof(f1244,plain,
    ( ~ spl0_115
    | ~ spl0_116
    | ~ spl0_117
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f680,f1241,f1237,f1233,f1229]) ).

fof(f680,plain,
    ( e0 != op(e2,op(e2,e2))
    | e4 != op(op(e2,e2),op(e2,e2))
    | e1 != op(op(e2,op(e2,e2)),op(e2,e2))
    | e3 != op(e2,e2) ),
    inference(cnf_transformation,[],[f139]) ).

fof(f139,plain,
    ( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
    | e3 != op(e2,e2)
    | e0 != op(e2,op(e2,e2))
    | e4 != op(op(e2,e2),op(e2,e2)) ),
    inference(ennf_transformation,[],[f111]) ).

fof(f111,axiom,
    ~ ( e0 = op(e2,op(e2,e2))
      & e3 = op(e2,e2)
      & e4 = op(op(e2,e2),op(e2,e2))
      & e1 = op(op(e2,op(e2,e2)),op(e2,e2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax111) ).

fof(f1227,plain,
    ~ spl0_114,
    inference(avatar_split_clause,[],[f616,f1224]) ).

fof(f1224,plain,
    ( spl0_114
  <=> e0 = e1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f616,plain,
    e0 != e1,
    inference(cnf_transformation,[],[f5]) ).

fof(f1222,plain,
    ~ spl0_113,
    inference(avatar_split_clause,[],[f331,f1219]) ).

fof(f1219,plain,
    ( spl0_113
  <=> op(e0,e2) = op(e2,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f331,plain,
    op(e0,e2) != op(e2,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f1217,plain,
    ( ~ spl0_110
    | ~ spl0_80
    | ~ spl0_111
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f686,f1214,f1210,f1072,f1206]) ).

fof(f686,plain,
    ( e2 != op(op(e4,e4),op(e4,e4))
    | e1 != op(op(e4,op(e4,e4)),op(e4,e4))
    | e3 != op(e4,e4)
    | e0 != op(e4,op(e4,e4)) ),
    inference(cnf_transformation,[],[f243]) ).

fof(f243,plain,
    ( e1 != op(op(e4,op(e4,e4)),op(e4,e4))
    | e0 != op(e4,op(e4,e4))
    | e3 != op(e4,e4)
    | e2 != op(op(e4,e4),op(e4,e4)) ),
    inference(ennf_transformation,[],[f65]) ).

fof(f65,axiom,
    ~ ( e0 = op(e4,op(e4,e4))
      & e2 = op(op(e4,e4),op(e4,e4))
      & e1 = op(op(e4,op(e4,e4)),op(e4,e4))
      & e3 = op(e4,e4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax65) ).

fof(f1204,plain,
    ( ~ spl0_106
    | ~ spl0_107
    | ~ spl0_108
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f420,f1201,f1197,f1193,f1189]) ).

fof(f420,plain,
    ( e4 != op(e3,op(e3,e3))
    | e2 != op(e3,e3)
    | e1 != op(op(e3,op(e3,e3)),op(e3,e3))
    | e0 != op(op(e3,e3),op(e3,e3)) ),
    inference(cnf_transformation,[],[f132]) ).

fof(f132,plain,
    ( e2 != op(e3,e3)
    | e1 != op(op(e3,op(e3,e3)),op(e3,e3))
    | e4 != op(e3,op(e3,e3))
    | e0 != op(op(e3,e3),op(e3,e3)) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ~ ( e0 = op(op(e3,e3),op(e3,e3))
      & e1 = op(op(e3,op(e3,e3)),op(e3,e3))
      & e2 = op(e3,e3)
      & e4 = op(e3,op(e3,e3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).

fof(f1187,plain,
    ( spl0_63
    | ~ spl0_88
    | spl0_62
    | spl0_89
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f496,f1103,f1111,f995,f1107,f999]) ).

fof(f496,plain,
    ( e2 != op(e0,op(e0,e2))
    | e1 = op(e2,op(e1,e2))
    | e2 = op(e2,op(e2,e2))
    | e2 != op(e3,op(e3,e2))
    | e4 = op(e2,op(e4,e2)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1186,plain,
    ( spl0_101
    | spl0_102
    | spl0_103
    | spl0_104
    | spl0_105 ),
    inference(avatar_split_clause,[],[f265,f1183,f1179,f1175,f1171,f1167]) ).

fof(f265,plain,
    ( e3 = op(e0,e2)
    | e1 = op(e0,e2)
    | e4 = op(e0,e2)
    | e2 = op(e0,e2)
    | e0 = op(e0,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f1165,plain,
    ( ~ spl0_100
    | spl0_24
    | ~ spl0_20
    | ~ spl0_40
    | spl0_48 ),
    inference(avatar_split_clause,[],[f569,f929,f892,f807,f823,f1162]) ).

fof(f569,plain,
    ( e0 = op(e4,op(e0,e4))
    | e4 != op(e2,op(e2,e4))
    | e4 != op(e4,op(e4,e4))
    | e3 = op(e4,op(e3,e4))
    | e4 != op(e1,op(e1,e4)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1160,plain,
    ~ spl0_99,
    inference(avatar_split_clause,[],[f334,f1157]) ).

fof(f1157,plain,
    ( spl0_99
  <=> op(e1,e1) = op(e3,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f334,plain,
    op(e1,e1) != op(e3,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f1155,plain,
    ~ spl0_98,
    inference(avatar_split_clause,[],[f371,f1152]) ).

fof(f1152,plain,
    ( spl0_98
  <=> op(e2,e0) = op(e2,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f371,plain,
    op(e2,e0) != op(e2,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f1150,plain,
    ~ spl0_97,
    inference(avatar_split_clause,[],[f611,f1147]) ).

fof(f1147,plain,
    ( spl0_97
  <=> e0 = e2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f611,plain,
    e0 != e2,
    inference(cnf_transformation,[],[f5]) ).

fof(f1145,plain,
    ( ~ spl0_94
    | ~ spl0_95
    | ~ spl0_96
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f709,f749,f1142,f1138,f1134]) ).

fof(f709,plain,
    ( e1 != op(e2,e2)
    | e4 != op(e2,op(e2,e2))
    | e3 != op(op(e2,e2),op(e2,e2))
    | e0 != op(op(e2,op(e2,e2)),op(e2,e2)) ),
    inference(cnf_transformation,[],[f185]) ).

fof(f185,plain,
    ( e1 != op(e2,e2)
    | e3 != op(op(e2,e2),op(e2,e2))
    | e0 != op(op(e2,op(e2,e2)),op(e2,e2))
    | e4 != op(e2,op(e2,e2)) ),
    inference(ennf_transformation,[],[f82]) ).

fof(f82,axiom,
    ~ ( e0 = op(op(e2,op(e2,e2)),op(e2,e2))
      & e3 = op(op(e2,e2),op(e2,e2))
      & e1 = op(e2,e2)
      & e4 = op(e2,op(e2,e2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax82) ).

fof(f1132,plain,
    ( ~ spl0_90
    | ~ spl0_92
    | ~ spl0_91
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f417,f1129,f1120,f1125,f1116]) ).

fof(f417,plain,
    ( e2 != op(e1,e1)
    | e4 != op(op(e1,op(e1,e1)),op(e1,e1))
    | e0 != op(e1,op(e1,e1))
    | e3 != op(op(e1,e1),op(e1,e1)) ),
    inference(cnf_transformation,[],[f213]) ).

fof(f213,plain,
    ( e3 != op(op(e1,e1),op(e1,e1))
    | e4 != op(op(e1,op(e1,e1)),op(e1,e1))
    | e2 != op(e1,e1)
    | e0 != op(e1,op(e1,e1)) ),
    inference(ennf_transformation,[],[f99]) ).

fof(f99,axiom,
    ~ ( e4 = op(op(e1,op(e1,e1)),op(e1,e1))
      & e2 = op(e1,e1)
      & e0 = op(e1,op(e1,e1))
      & e3 = op(op(e1,e1),op(e1,e1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax99) ).

fof(f1123,plain,
    ( ~ spl0_90
    | ~ spl0_53
    | ~ spl0_54
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f426,f1120,f956,f952,f1116]) ).

fof(f426,plain,
    ( e4 != op(op(e1,op(e1,e1)),op(e1,e1))
    | e2 != op(e1,op(e1,e1))
    | e0 != op(e1,e1)
    | e3 != op(op(e1,e1),op(e1,e1)) ),
    inference(cnf_transformation,[],[f235]) ).

fof(f235,plain,
    ( e4 != op(op(e1,op(e1,e1)),op(e1,e1))
    | e0 != op(e1,e1)
    | e3 != op(op(e1,e1),op(e1,e1))
    | e2 != op(e1,op(e1,e1)) ),
    inference(ennf_transformation,[],[f100]) ).

fof(f100,axiom,
    ~ ( e0 = op(e1,e1)
      & e4 = op(op(e1,op(e1,e1)),op(e1,e1))
      & e3 = op(op(e1,e1),op(e1,e1))
      & e2 = op(e1,op(e1,e1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax100) ).

fof(f1114,plain,
    ( spl0_62
    | ~ spl0_86
    | ~ spl0_87
    | ~ spl0_88
    | spl0_89 ),
    inference(avatar_split_clause,[],[f480,f1111,f1107,f1103,f1099,f995]) ).

fof(f480,plain,
    ( e1 = op(e2,op(e1,e2))
    | e2 != op(e3,op(e3,e2))
    | e2 != op(e0,op(e0,e2))
    | e2 != op(e4,op(e4,e2))
    | e2 = op(e2,op(e2,e2)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1097,plain,
    ( spl0_81
    | spl0_82
    | spl0_83
    | spl0_84
    | spl0_85 ),
    inference(avatar_split_clause,[],[f637,f1094,f1090,f1086,f1082,f1078]) ).

fof(f637,plain,
    ( e1 = op(e2,e4)
    | e1 = op(e4,e4)
    | e1 = op(e0,e4)
    | e1 = op(e3,e4)
    | e1 = op(e1,e4) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f1076,plain,
    ( ~ spl0_5
    | spl0_3
    | ~ spl0_2
    | spl0_41
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f557,f736,f897,f728,f732,f740]) ).

fof(f557,plain,
    ( e3 != op(e0,op(e0,e3))
    | e1 = op(e3,op(e1,e3))
    | e3 != op(e3,op(e3,e3))
    | e4 = op(e3,op(e4,e3))
    | e3 != op(e2,op(e2,e3)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1075,plain,
    ( spl0_76
    | spl0_77
    | spl0_78
    | spl0_79
    | spl0_80 ),
    inference(avatar_split_clause,[],[f628,f1072,f1068,f1064,f1060,f1056]) ).

fof(f628,plain,
    ( e3 = op(e4,e4)
    | e3 = op(e0,e4)
    | e3 = op(e2,e4)
    | e3 = op(e1,e4)
    | e3 = op(e3,e4) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f1054,plain,
    ( ~ spl0_74
    | ~ spl0_53
    | ~ spl0_51
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f683,f1051,f944,f952,f1047]) ).

fof(f683,plain,
    ( e4 != op(e1,op(e1,e1))
    | e3 != op(op(e1,op(e1,e1)),op(e1,e1))
    | e0 != op(e1,e1)
    | e2 != op(op(e1,e1),op(e1,e1)) ),
    inference(cnf_transformation,[],[f221]) ).

fof(f221,plain,
    ( e4 != op(e1,op(e1,e1))
    | e2 != op(op(e1,e1),op(e1,e1))
    | e0 != op(e1,e1)
    | e3 != op(op(e1,op(e1,e1)),op(e1,e1)) ),
    inference(ennf_transformation,[],[f70]) ).

fof(f70,axiom,
    ~ ( e2 = op(op(e1,e1),op(e1,e1))
      & e4 = op(e1,op(e1,e1))
      & e0 = op(e1,e1)
      & e3 = op(op(e1,op(e1,e1)),op(e1,e1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax70) ).

fof(f1045,plain,
    ( spl0_70
    | spl0_71
    | spl0_72
    | spl0_73
    | spl0_12 ),
    inference(avatar_split_clause,[],[f639,f770,f1042,f1038,f1034,f1030]) ).

fof(f639,plain,
    ( e0 = op(e3,e3)
    | e0 = op(e3,e4)
    | e0 = op(e3,e1)
    | e0 = op(e3,e0)
    | e0 = op(e3,e2) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f1028,plain,
    ( ~ spl0_66
    | ~ spl0_67
    | ~ spl0_68
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f685,f1025,f1021,f1017,f1013]) ).

fof(f685,plain,
    ( e1 != op(e4,op(e4,e4))
    | e2 != op(e4,e4)
    | e0 != op(op(e4,op(e4,e4)),op(e4,e4))
    | e3 != op(op(e4,e4),op(e4,e4)) ),
    inference(cnf_transformation,[],[f229]) ).

fof(f229,plain,
    ( e3 != op(op(e4,e4),op(e4,e4))
    | e1 != op(e4,op(e4,e4))
    | e0 != op(op(e4,op(e4,e4)),op(e4,e4))
    | e2 != op(e4,e4) ),
    inference(ennf_transformation,[],[f83]) ).

fof(f83,axiom,
    ~ ( e2 = op(e4,e4)
      & e0 = op(op(e4,op(e4,e4)),op(e4,e4))
      & e1 = op(e4,op(e4,e4))
      & e3 = op(op(e4,e4),op(e4,e4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax83) ).

fof(f1011,plain,
    ~ spl0_65,
    inference(avatar_split_clause,[],[f385,f1008]) ).

fof(f1008,plain,
    ( spl0_65
  <=> op(e1,e1) = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f385,plain,
    op(e1,e1) != op(e1,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f1006,plain,
    ( ~ spl0_60
    | spl0_61
    | ~ spl0_62
    | spl0_63
    | spl0_64 ),
    inference(avatar_split_clause,[],[f493,f1003,f999,f995,f991,f987]) ).

fof(f493,plain,
    ( e3 = op(e2,op(e3,e2))
    | e4 = op(e2,op(e4,e2))
    | e2 != op(e2,op(e2,e2))
    | e0 = op(e2,op(e0,e2))
    | e2 != op(e1,op(e1,e2)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f985,plain,
    ( ~ spl0_56
    | ~ spl0_58
    | ~ spl0_59
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f601,f973,f982,f978,f969]) ).

fof(f601,plain,
    ( op(e0,e0) != e4
    | e2 != op(e0,op(e0,e0))
    | e1 != op(op(e0,e0),op(e0,e0))
    | e3 != op(op(e0,op(e0,e0)),op(e0,e0)) ),
    inference(cnf_transformation,[],[f245]) ).

fof(f245,plain,
    ( e2 != op(e0,op(e0,e0))
    | e3 != op(op(e0,op(e0,e0)),op(e0,e0))
    | e1 != op(op(e0,e0),op(e0,e0))
    | op(e0,e0) != e4 ),
    inference(ennf_transformation,[],[f43]) ).

fof(f43,axiom,
    ~ ( op(e0,e0) = e4
      & e2 = op(e0,op(e0,e0))
      & e3 = op(op(e0,op(e0,e0)),op(e0,e0))
      & e1 = op(op(e0,e0),op(e0,e0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax43) ).

fof(f976,plain,
    ( ~ spl0_56
    | ~ spl0_57
    | ~ spl0_38
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f719,f887,f883,f973,f969]) ).

fof(f719,plain,
    ( e2 != op(op(e0,e0),op(e0,e0))
    | e1 != op(e0,op(e0,e0))
    | op(e0,e0) != e4
    | e3 != op(op(e0,op(e0,e0)),op(e0,e0)) ),
    inference(cnf_transformation,[],[f204]) ).

fof(f204,plain,
    ( op(e0,e0) != e4
    | e2 != op(op(e0,e0),op(e0,e0))
    | e3 != op(op(e0,op(e0,e0)),op(e0,e0))
    | e1 != op(e0,op(e0,e0)) ),
    inference(ennf_transformation,[],[f67]) ).

fof(f67,axiom,
    ~ ( e3 = op(op(e0,op(e0,e0)),op(e0,e0))
      & e2 = op(op(e0,e0),op(e0,e0))
      & e1 = op(e0,op(e0,e0))
      & op(e0,e0) = e4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax67) ).

fof(f967,plain,
    ( ~ spl0_32
    | spl0_33
    | spl0_49
    | ~ spl0_30
    | spl0_31 ),
    inference(avatar_split_clause,[],[f533,f853,f849,f934,f861,f857]) ).

fof(f533,plain,
    ( e1 = op(e0,op(e1,e0))
    | e0 != op(e2,op(e2,e0))
    | e3 = op(e0,op(e3,e0))
    | e4 = op(e0,op(e4,e0))
    | e0 != op(e0,op(e0,e0)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f966,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5
    | ~ spl0_4
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f547,f906,f736,f740,f728,f724]) ).

fof(f547,plain,
    ( e3 != op(e4,op(e4,e3))
    | e3 != op(e0,op(e0,e3))
    | e3 != op(e2,op(e2,e3))
    | e3 = op(e3,op(e3,e3))
    | e3 != op(e1,op(e1,e3)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f965,plain,
    ~ spl0_55,
    inference(avatar_split_clause,[],[f380,f962]) ).

fof(f962,plain,
    ( spl0_55
  <=> op(e0,e1) = op(e0,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f380,plain,
    op(e0,e1) != op(e0,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f960,plain,
    ( spl0_24
    | spl0_48
    | spl0_20
    | spl0_21
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f586,f892,f811,f807,f929,f823]) ).

fof(f586,plain,
    ( e4 != op(e2,op(e2,e4))
    | e1 = op(e4,op(e1,e4))
    | e4 = op(e4,op(e4,e4))
    | e0 = op(e4,op(e0,e4))
    | e3 = op(e4,op(e3,e4)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f959,plain,
    ( ~ spl0_51
    | ~ spl0_52
    | ~ spl0_53
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f296,f956,f952,f948,f944]) ).

fof(f296,plain,
    ( e2 != op(e1,op(e1,e1))
    | e0 != op(e1,e1)
    | e4 != op(op(e1,e1),op(e1,e1))
    | e3 != op(op(e1,op(e1,e1)),op(e1,e1)) ),
    inference(cnf_transformation,[],[f167]) ).

fof(f167,plain,
    ( e3 != op(op(e1,op(e1,e1)),op(e1,e1))
    | e2 != op(e1,op(e1,e1))
    | e0 != op(e1,e1)
    | e4 != op(op(e1,e1),op(e1,e1)) ),
    inference(ennf_transformation,[],[f124]) ).

fof(f124,axiom,
    ~ ( e0 = op(e1,e1)
      & e2 = op(e1,op(e1,e1))
      & e3 = op(op(e1,op(e1,e1)),op(e1,e1))
      & e4 = op(op(e1,e1),op(e1,e1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax124) ).

fof(f942,plain,
    ~ spl0_50,
    inference(avatar_split_clause,[],[f338,f939]) ).

fof(f939,plain,
    ( spl0_50
  <=> op(e2,e4) = op(e4,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f338,plain,
    op(e2,e4) != op(e4,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f937,plain,
    ( spl0_33
    | spl0_49
    | spl0_45
    | spl0_31
    | spl0_32 ),
    inference(avatar_split_clause,[],[f515,f857,f853,f915,f934,f861]) ).

fof(f515,plain,
    ( e0 = op(e0,op(e0,e0))
    | e1 = op(e0,op(e1,e0))
    | e2 = op(e0,op(e2,e0))
    | e3 = op(e0,op(e3,e0))
    | e4 = op(e0,op(e4,e0)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f932,plain,
    ( spl0_20
    | spl0_22
    | ~ spl0_47
    | spl0_48
    | spl0_21 ),
    inference(avatar_split_clause,[],[f598,f811,f929,f925,f815,f807]) ).

fof(f598,plain,
    ( e1 = op(e4,op(e1,e4))
    | e0 = op(e4,op(e0,e4))
    | e4 != op(e3,op(e3,e4))
    | e2 = op(e4,op(e2,e4))
    | e4 = op(e4,op(e4,e4)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f923,plain,
    ~ spl0_46,
    inference(avatar_split_clause,[],[f311,f920]) ).

fof(f920,plain,
    ( spl0_46
  <=> op(e1,e2) = op(e1,e4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f311,plain,
    op(e1,e2) != op(e1,e4),
    inference(cnf_transformation,[],[f4]) ).

fof(f918,plain,
    ( ~ spl0_44
    | spl0_45
    | spl0_33
    | spl0_32
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f512,f865,f857,f861,f915,f911]) ).

fof(f512,plain,
    ( e0 != op(e3,op(e3,e0))
    | e0 = op(e0,op(e0,e0))
    | e4 = op(e0,op(e4,e0))
    | e2 = op(e0,op(e2,e0))
    | e0 != op(e1,op(e1,e0)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f909,plain,
    ( ~ spl0_43
    | ~ spl0_5
    | spl0_42
    | ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f543,f728,f724,f901,f740,f906]) ).

fof(f543,plain,
    ( e3 = op(e3,op(e3,e3))
    | e3 != op(e1,op(e1,e3))
    | e0 = op(e3,op(e0,e3))
    | e3 != op(e2,op(e2,e3))
    | e3 != op(e4,op(e4,e3)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f904,plain,
    ( ~ spl0_5
    | spl0_2
    | spl0_41
    | spl0_42
    | spl0_3 ),
    inference(avatar_split_clause,[],[f561,f732,f901,f897,f728,f740]) ).

fof(f561,plain,
    ( e4 = op(e3,op(e4,e3))
    | e0 = op(e3,op(e0,e3))
    | e1 = op(e3,op(e1,e3))
    | e3 = op(e3,op(e3,e3))
    | e3 != op(e2,op(e2,e3)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f895,plain,
    ( ~ spl0_40
    | spl0_24
    | spl0_21
    | ~ spl0_23
    | spl0_20 ),
    inference(avatar_split_clause,[],[f584,f807,f819,f811,f823,f892]) ).

fof(f584,plain,
    ( e4 = op(e4,op(e4,e4))
    | e4 != op(e0,op(e0,e4))
    | e1 = op(e4,op(e1,e4))
    | e3 = op(e4,op(e3,e4))
    | e4 != op(e2,op(e2,e4)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f890,plain,
    ( ~ spl0_36
    | ~ spl0_37
    | ~ spl0_38
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f682,f887,f883,f879,f875]) ).

fof(f682,plain,
    ( e2 != op(op(e0,e0),op(e0,e0))
    | e1 != op(e0,op(e0,e0))
    | op(e0,e0) != e3
    | e4 != op(op(e0,op(e0,e0)),op(e0,e0)) ),
    inference(cnf_transformation,[],[f193]) ).

fof(f193,plain,
    ( e2 != op(op(e0,e0),op(e0,e0))
    | op(e0,e0) != e3
    | e1 != op(e0,op(e0,e0))
    | e4 != op(op(e0,op(e0,e0)),op(e0,e0)) ),
    inference(ennf_transformation,[],[f73]) ).

fof(f73,axiom,
    ~ ( e1 = op(e0,op(e0,e0))
      & e2 = op(op(e0,e0),op(e0,e0))
      & op(e0,e0) = e3
      & e4 = op(op(e0,op(e0,e0)),op(e0,e0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax73) ).

fof(f873,plain,
    ~ spl0_35,
    inference(avatar_split_clause,[],[f316,f870]) ).

fof(f870,plain,
    ( spl0_35
  <=> op(e0,e0) = op(e0,e3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f316,plain,
    op(e0,e0) != op(e0,e3),
    inference(cnf_transformation,[],[f4]) ).

fof(f868,plain,
    ( ~ spl0_30
    | spl0_31
    | spl0_32
    | spl0_33
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f532,f865,f861,f857,f853,f849]) ).

fof(f532,plain,
    ( e0 != op(e3,op(e3,e0))
    | e4 = op(e0,op(e4,e0))
    | e0 = op(e0,op(e0,e0))
    | e1 = op(e0,op(e1,e0))
    | e0 != op(e2,op(e2,e0)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f847,plain,
    ( spl0_25
    | spl0_26
    | spl0_27
    | spl0_28
    | spl0_29 ),
    inference(avatar_split_clause,[],[f254,f844,f840,f836,f832,f828]) ).

fof(f254,plain,
    ( e0 = op(e4,e2)
    | e3 = op(e4,e2)
    | e4 = op(e4,e2)
    | e1 = op(e4,e2)
    | e2 = op(e4,e2) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f826,plain,
    ( ~ spl0_20
    | spl0_21
    | spl0_22
    | ~ spl0_23
    | spl0_24 ),
    inference(avatar_split_clause,[],[f587,f823,f819,f815,f811,f807]) ).

fof(f587,plain,
    ( e3 = op(e4,op(e3,e4))
    | e4 != op(e0,op(e0,e4))
    | e2 = op(e4,op(e2,e4))
    | e1 = op(e4,op(e1,e4))
    | e4 != op(e4,op(e4,e4)) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f805,plain,
    ( ~ spl0_12
    | ~ spl0_19
    | ~ spl0_14
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f688,f774,f779,f802,f770]) ).

fof(f688,plain,
    ( e1 != op(e3,op(e3,e3))
    | e2 != op(op(e3,e3),op(e3,e3))
    | e4 != op(op(e3,op(e3,e3)),op(e3,e3))
    | e0 != op(e3,e3) ),
    inference(cnf_transformation,[],[f143]) ).

fof(f143,plain,
    ( e0 != op(e3,e3)
    | e1 != op(e3,op(e3,e3))
    | e2 != op(op(e3,e3),op(e3,e3))
    | e4 != op(op(e3,op(e3,e3)),op(e3,e3)) ),
    inference(ennf_transformation,[],[f78]) ).

fof(f78,axiom,
    ~ ( e2 = op(op(e3,e3),op(e3,e3))
      & e4 = op(op(e3,op(e3,e3)),op(e3,e3))
      & e1 = op(e3,op(e3,e3))
      & e0 = op(e3,e3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax78) ).

fof(f800,plain,
    ~ spl0_18,
    inference(avatar_split_clause,[],[f360,f797]) ).

fof(f797,plain,
    ( spl0_18
  <=> op(e0,e2) = op(e4,e2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f360,plain,
    op(e0,e2) != op(e4,e2),
    inference(cnf_transformation,[],[f4]) ).

fof(f795,plain,
    ~ spl0_17,
    inference(avatar_split_clause,[],[f376,f792]) ).

fof(f792,plain,
    ( spl0_17
  <=> op(e3,e1) = op(e4,e1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f376,plain,
    op(e3,e1) != op(e4,e1),
    inference(cnf_transformation,[],[f4]) ).

fof(f790,plain,
    ( ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f422,f787,f783,f779,f774]) ).

fof(f422,plain,
    ( e4 != op(e3,e3)
    | e0 != op(op(e3,op(e3,e3)),op(e3,e3))
    | e2 != op(op(e3,e3),op(e3,e3))
    | e1 != op(e3,op(e3,e3)) ),
    inference(cnf_transformation,[],[f128]) ).

fof(f128,plain,
    ( e2 != op(op(e3,e3),op(e3,e3))
    | e0 != op(op(e3,op(e3,e3)),op(e3,e3))
    | e1 != op(e3,op(e3,e3))
    | e4 != op(e3,e3) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f57,axiom,
    ~ ( e1 = op(e3,op(e3,e3))
      & e4 = op(e3,e3)
      & e0 = op(op(e3,op(e3,e3)),op(e3,e3))
      & e2 = op(op(e3,e3),op(e3,e3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax57) ).

fof(f777,plain,
    ( ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f704,f774,f770,f766,f762]) ).

fof(f704,plain,
    ( e1 != op(e3,op(e3,e3))
    | e0 != op(e3,e3)
    | e2 != op(op(e3,op(e3,e3)),op(e3,e3))
    | e4 != op(op(e3,e3),op(e3,e3)) ),
    inference(cnf_transformation,[],[f242]) ).

fof(f242,plain,
    ( e2 != op(op(e3,op(e3,e3)),op(e3,e3))
    | e4 != op(op(e3,e3),op(e3,e3))
    | e0 != op(e3,e3)
    | e1 != op(e3,op(e3,e3)) ),
    inference(ennf_transformation,[],[f120]) ).

fof(f120,axiom,
    ~ ( e2 = op(op(e3,op(e3,e3)),op(e3,e3))
      & e1 = op(e3,op(e3,e3))
      & e4 = op(op(e3,e3),op(e3,e3))
      & e0 = op(e3,e3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax120) ).

fof(f760,plain,
    ( ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f285,f757,f753,f749,f745]) ).

fof(f285,plain,
    ( e0 != op(op(e2,e2),op(e2,e2))
    | e3 != op(e2,op(e2,e2))
    | e1 != op(e2,e2)
    | e4 != op(op(e2,op(e2,e2)),op(e2,e2)) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f168,plain,
    ( e1 != op(e2,e2)
    | e4 != op(op(e2,op(e2,e2)),op(e2,e2))
    | e0 != op(op(e2,e2),op(e2,e2))
    | e3 != op(e2,op(e2,e2)) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,axiom,
    ~ ( e0 = op(op(e2,e2),op(e2,e2))
      & e3 = op(e2,op(e2,e2))
      & e4 = op(op(e2,op(e2,e2)),op(e2,e2))
      & e1 = op(e2,e2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).

fof(f743,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f549,f740,f736,f732,f728,f724]) ).

fof(f549,plain,
    ( e3 != op(e2,op(e2,e3))
    | e3 != op(e0,op(e0,e3))
    | e4 = op(e3,op(e4,e3))
    | e3 = op(e3,op(e3,e3))
    | e3 != op(e1,op(e1,e3)) ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : ALG098+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n020.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Aug 29 14:56:45 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.21/0.58  % (22211)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.59  % (22220)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)
% 0.21/0.59  % (22211)Instruction limit reached!
% 0.21/0.59  % (22211)------------------------------
% 0.21/0.59  % (22211)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.59  % (22212)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.59  % (22219)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)
% 0.21/0.59  % (22212)Instruction limit reached!
% 0.21/0.59  % (22212)------------------------------
% 0.21/0.59  % (22212)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.59  % (22212)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.59  % (22212)Termination reason: Unknown
% 0.21/0.59  % (22212)Termination phase: Preprocessing 2
% 0.21/0.59  
% 0.21/0.59  % (22212)Memory used [KB]: 1023
% 0.21/0.59  % (22212)Time elapsed: 0.005 s
% 0.21/0.59  % (22212)Instructions burned: 3 (million)
% 0.21/0.59  % (22212)------------------------------
% 0.21/0.59  % (22212)------------------------------
% 0.21/0.59  % (22227)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)
% 0.21/0.59  % (22228)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.59  % (22211)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.59  % (22211)Termination reason: Unknown
% 0.21/0.59  % (22211)Termination phase: Property scanning
% 0.21/0.59  
% 0.21/0.59  % (22211)Memory used [KB]: 1151
% 0.21/0.59  % (22211)Time elapsed: 0.008 s
% 0.21/0.59  % (22211)Instructions burned: 8 (million)
% 0.21/0.59  % (22211)------------------------------
% 0.21/0.59  % (22211)------------------------------
% 0.21/0.62  % (22215)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)
% 0.21/0.62  % (22214)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.63  % (22207)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)
% 0.21/0.63  % (22209)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)
% 0.21/0.63  % (22213)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)
% 0.21/0.63  % (22210)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)
% 0.21/0.63  % (22222)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.63  % (22226)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.77/0.63  % (22206)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.77/0.63  % (22204)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.77/0.63  % (22205)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.77/0.63  % (22224)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.77/0.64  % (22218)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.77/0.64  % (22208)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.77/0.64  % (22225)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.77/0.64  % (22229)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.77/0.64  % (22230)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.77/0.64  % (22231)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.77/0.64  % (22232)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.77/0.64  % (22233)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.77/0.64  % (22216)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.77/0.65  % (22221)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 2.00/0.65  % (22217)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 2.00/0.65  % (22223)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)
% 2.00/0.69  % (22206)Instruction limit reached!
% 2.00/0.69  % (22206)------------------------------
% 2.00/0.69  % (22206)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/0.69  % (22206)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.69  % (22206)Termination reason: Unknown
% 2.00/0.69  % (22206)Termination phase: Saturation
% 2.00/0.69  
% 2.00/0.69  % (22206)Memory used [KB]: 1407
% 2.00/0.69  % (22206)Time elapsed: 0.018 s
% 2.00/0.69  % (22206)Instructions burned: 38 (million)
% 2.00/0.69  % (22206)------------------------------
% 2.00/0.69  % (22206)------------------------------
% 2.00/0.69  % (22209)Instruction limit reached!
% 2.00/0.69  % (22209)------------------------------
% 2.00/0.69  % (22209)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/0.69  % (22209)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.69  % (22209)Termination reason: Unknown
% 2.00/0.69  % (22209)Termination phase: Saturation
% 2.00/0.69  
% 2.00/0.69  % (22209)Memory used [KB]: 6652
% 2.00/0.69  % (22209)Time elapsed: 0.227 s
% 2.00/0.69  % (22209)Instructions burned: 50 (million)
% 2.00/0.69  % (22209)------------------------------
% 2.00/0.69  % (22209)------------------------------
% 2.00/0.70  % (22208)Instruction limit reached!
% 2.00/0.70  % (22208)------------------------------
% 2.00/0.70  % (22208)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/0.70  % (22208)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.70  % (22208)Termination reason: Unknown
% 2.00/0.70  % (22208)Termination phase: Saturation
% 2.00/0.70  
% 2.00/0.70  % (22208)Memory used [KB]: 6780
% 2.00/0.70  % (22208)Time elapsed: 0.027 s
% 2.00/0.70  % (22208)Instructions burned: 51 (million)
% 2.00/0.70  % (22208)------------------------------
% 2.00/0.70  % (22208)------------------------------
% 2.00/0.70  % (22213)Instruction limit reached!
% 2.00/0.70  % (22213)------------------------------
% 2.00/0.70  % (22213)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/0.70  % (22214)Instruction limit reached!
% 2.00/0.70  % (22214)------------------------------
% 2.00/0.70  % (22214)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/0.70  % (22214)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.70  % (22214)Termination reason: Unknown
% 2.00/0.70  % (22214)Termination phase: Saturation
% 2.00/0.70  
% 2.00/0.70  % (22214)Memory used [KB]: 7036
% 2.00/0.70  % (22214)Time elapsed: 0.026 s
% 2.00/0.70  % (22214)Instructions burned: 50 (million)
% 2.00/0.70  % (22214)------------------------------
% 2.00/0.70  % (22214)------------------------------
% 2.40/0.70  % (22221)Instruction limit reached!
% 2.40/0.70  % (22221)------------------------------
% 2.40/0.70  % (22221)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.40/0.71  % (22205)Instruction limit reached!
% 2.40/0.71  % (22205)------------------------------
% 2.40/0.71  % (22205)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.40/0.71  % (22213)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.40/0.71  % (22213)Termination reason: Unknown
% 2.40/0.71  % (22213)Termination phase: Saturation
% 2.40/0.71  
% 2.40/0.71  % (22213)Memory used [KB]: 1663
% 2.40/0.71  % (22213)Time elapsed: 0.200 s
% 2.40/0.71  % (22213)Instructions burned: 51 (million)
% 2.40/0.71  % (22213)------------------------------
% 2.40/0.71  % (22213)------------------------------
% 2.40/0.71  % (22221)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.40/0.71  % (22221)Termination reason: Unknown
% 2.40/0.71  % (22221)Termination phase: Finite model building preprocessing
% 2.40/0.71  
% 2.40/0.71  % (22221)Memory used [KB]: 2686
% 2.40/0.71  % (22221)Time elapsed: 0.024 s
% 2.40/0.71  % (22221)Instructions burned: 60 (million)
% 2.40/0.71  % (22221)------------------------------
% 2.40/0.71  % (22221)------------------------------
% 2.40/0.71  % (22205)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.40/0.71  % (22205)Termination reason: Unknown
% 2.40/0.71  % (22205)Termination phase: Saturation
% 2.40/0.71  
% 2.40/0.71  % (22205)Memory used [KB]: 6780
% 2.40/0.71  % (22205)Time elapsed: 0.025 s
% 2.40/0.71  % (22205)Instructions burned: 52 (million)
% 2.40/0.71  % (22205)------------------------------
% 2.40/0.71  % (22205)------------------------------
% 2.40/0.71  % (22210)Instruction limit reached!
% 2.40/0.71  % (22210)------------------------------
% 2.40/0.71  % (22210)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.40/0.71  % (22210)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.40/0.71  % (22210)Termination reason: Unknown
% 2.40/0.71  % (22210)Termination phase: Finite model building preprocessing
% 2.40/0.71  
% 2.40/0.71  % (22210)Memory used [KB]: 2686
% 2.40/0.71  % (22210)Time elapsed: 0.022 s
% 2.40/0.71  % (22210)Instructions burned: 52 (million)
% 2.40/0.71  % (22210)------------------------------
% 2.40/0.71  % (22210)------------------------------
% 2.40/0.71  % (22207)Instruction limit reached!
% 2.40/0.71  % (22207)------------------------------
% 2.40/0.71  % (22207)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.40/0.71  % (22207)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.40/0.71  % (22207)Termination reason: Unknown
% 2.40/0.71  % (22207)Termination phase: Saturation
% 2.40/0.71  
% 2.40/0.71  % (22207)Memory used [KB]: 7036
% 2.40/0.71  % (22207)Time elapsed: 0.027 s
% 2.40/0.71  % (22207)Instructions burned: 53 (million)
% 2.40/0.71  % (22207)------------------------------
% 2.40/0.71  % (22207)------------------------------
% 2.40/0.72  % (22219)Instruction limit reached!
% 2.40/0.72  % (22219)------------------------------
% 2.40/0.72  % (22219)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.40/0.72  % (22219)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.40/0.72  % (22219)Termination reason: Unknown
% 2.40/0.72  % (22219)Termination phase: Saturation
% 2.40/0.72  
% 2.40/0.72  % (22219)Memory used [KB]: 1791
% 2.40/0.72  % (22219)Time elapsed: 0.228 s
% 2.40/0.72  % (22219)Instructions burned: 77 (million)
% 2.40/0.72  % (22219)------------------------------
% 2.40/0.72  % (22219)------------------------------
% 2.40/0.73  TRYING [5]
% 2.40/0.73  % (22251)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)
% 2.40/0.73  % (22250)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)
% 2.74/0.75  % (22218)Instruction limit reached!
% 2.74/0.75  % (22218)------------------------------
% 2.74/0.75  % (22218)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.74/0.75  % (22218)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.74/0.75  % (22218)Termination reason: Unknown
% 2.74/0.75  % (22218)Termination phase: Saturation
% 2.74/0.75  
% 2.74/0.75  % (22218)Memory used [KB]: 6780
% 2.74/0.75  % (22218)Time elapsed: 0.033 s
% 2.74/0.75  % (22218)Instructions burned: 70 (million)
% 2.74/0.75  % (22218)------------------------------
% 2.74/0.75  % (22218)------------------------------
% 2.74/0.75  % (22220)Instruction limit reached!
% 2.74/0.75  % (22220)------------------------------
% 2.74/0.75  % (22220)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.74/0.75  % (22220)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.74/0.75  % (22220)Termination reason: Unknown
% 2.74/0.75  % (22220)Termination phase: Saturation
% 2.74/0.75  
% 2.74/0.75  % (22220)Memory used [KB]: 6908
% 2.74/0.75  % (22220)Time elapsed: 0.272 s
% 2.74/0.75  % (22220)Instructions burned: 99 (million)
% 2.74/0.75  % (22220)------------------------------
% 2.74/0.75  % (22220)------------------------------
% 2.74/0.75  % (22230)Instruction limit reached!
% 2.74/0.75  % (22230)------------------------------
% 2.74/0.75  % (22230)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.74/0.75  % (22230)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.74/0.75  % (22230)Termination reason: Unknown
% 2.74/0.75  % (22230)Termination phase: Saturation
% 2.74/0.75  
% 2.74/0.75  % (22230)Memory used [KB]: 6780
% 2.74/0.75  % (22230)Time elapsed: 0.033 s
% 2.74/0.75  % (22230)Instructions burned: 69 (million)
% 2.74/0.75  % (22230)------------------------------
% 2.74/0.75  % (22230)------------------------------
% 2.74/0.78  % (22223)Instruction limit reached!
% 2.74/0.78  % (22223)------------------------------
% 2.74/0.78  % (22223)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.74/0.78  % (22223)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.74/0.78  % (22223)Termination reason: Unknown
% 2.74/0.78  % (22223)Termination phase: Saturation
% 2.74/0.78  
% 2.74/0.78  % (22223)Memory used [KB]: 1535
% 2.74/0.78  % (22223)Time elapsed: 0.316 s
% 2.74/0.78  % (22223)Instructions burned: 102 (million)
% 2.74/0.78  % (22223)------------------------------
% 2.74/0.78  % (22223)------------------------------
% 2.74/0.78  % (22215)Instruction limit reached!
% 2.74/0.78  % (22215)------------------------------
% 2.74/0.78  % (22215)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.74/0.78  % (22215)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.74/0.78  % (22215)Termination reason: Unknown
% 2.74/0.78  % (22215)Termination phase: Saturation
% 2.74/0.78  
% 2.74/0.78  % (22215)Memory used [KB]: 7547
% 2.74/0.78  % (22215)Time elapsed: 0.296 s
% 2.74/0.78  % (22215)Instructions burned: 100 (million)
% 2.74/0.78  % (22215)------------------------------
% 2.74/0.78  % (22215)------------------------------
% 2.74/0.78  % (22217)Instruction limit reached!
% 2.74/0.78  % (22217)------------------------------
% 2.74/0.78  % (22217)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.74/0.79  % (22222)Instruction limit reached!
% 2.74/0.79  % (22222)------------------------------
% 2.74/0.79  % (22222)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.74/0.79  % (22222)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.74/0.79  % (22222)Termination reason: Unknown
% 2.74/0.79  % (22222)Termination phase: Saturation
% 2.74/0.79  
% 2.74/0.79  % (22222)Memory used [KB]: 7291
% 2.74/0.79  % (22222)Time elapsed: 0.056 s
% 2.74/0.79  % (22222)Instructions burned: 102 (million)
% 2.74/0.79  % (22222)------------------------------
% 2.74/0.79  % (22222)------------------------------
% 2.74/0.79  % (22281)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 2.74/0.79  % (22269)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 2.74/0.80  % (22280)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/655Mi)
% 2.74/0.80  % (22217)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.74/0.80  % (22217)Termination reason: Unknown
% 2.74/0.80  % (22217)Termination phase: Saturation
% 2.74/0.80  
% 2.74/0.80  % (22217)Memory used [KB]: 7291
% 2.74/0.80  % (22217)Time elapsed: 0.319 s
% 2.74/0.80  % (22217)Instructions burned: 101 (million)
% 2.74/0.80  % (22217)------------------------------
% 2.74/0.80  % (22217)------------------------------
% 2.74/0.81  WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.74/0.82  % (22270)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/920Mi)
% 2.74/0.82  % (22216)Instruction limit reached!
% 2.74/0.82  % (22216)------------------------------
% 2.74/0.82  % (22216)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.74/0.82  % (22284)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/981Mi)
% 2.74/0.82  % (22273)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/934Mi)
% 2.74/0.83  % (22216)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.74/0.83  % (22216)Termination reason: Unknown
% 2.74/0.83  % (22216)Termination phase: Saturation
% 2.74/0.83  
% 2.74/0.83  % (22216)Memory used [KB]: 7036
% 2.74/0.83  % (22216)Time elapsed: 0.321 s
% 2.74/0.83  % (22216)Instructions burned: 102 (million)
% 2.74/0.83  % (22216)------------------------------
% 2.74/0.83  % (22216)------------------------------
% 2.74/0.83  % (22285)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 2.74/0.83  % (22275)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/747Mi)
% 2.74/0.83  % (22289)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2016Mi)
% 3.16/0.84  % (22283)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/940Mi)
% 3.16/0.87  % (22231)Instruction limit reached!
% 3.16/0.87  % (22231)------------------------------
% 3.16/0.87  % (22231)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.16/0.87  % (22231)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.16/0.87  % (22231)Termination reason: Unknown
% 3.16/0.87  % (22231)Termination phase: Saturation
% 3.16/0.87  
% 3.16/0.87  % (22231)Memory used [KB]: 2174
% 3.16/0.87  % (22231)Time elapsed: 0.393 s
% 3.16/0.87  % (22231)Instructions burned: 177 (million)
% 3.16/0.87  % (22231)------------------------------
% 3.16/0.87  % (22231)------------------------------
% 3.16/0.87  % (22225)Instruction limit reached!
% 3.16/0.87  % (22225)------------------------------
% 3.16/0.87  % (22225)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.16/0.87  % (22225)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.16/0.87  % (22225)Termination reason: Unknown
% 3.16/0.87  % (22225)Termination phase: Saturation
% 3.16/0.87  
% 3.16/0.87  % (22225)Memory used [KB]: 7547
% 3.16/0.87  % (22225)Time elapsed: 0.068 s
% 3.16/0.87  % (22225)Instructions burned: 138 (million)
% 3.16/0.87  % (22225)------------------------------
% 3.16/0.87  % (22225)------------------------------
% 3.16/0.87  % (22306)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4958Mi)
% 3.16/0.88  % (22305)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 3.16/0.89  % (22307)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4959Mi)
% 3.16/0.89  % (22321)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4931Mi)
% 3.32/0.89  % (22281)Instruction limit reached!
% 3.32/0.89  % (22281)------------------------------
% 3.32/0.89  % (22281)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.32/0.89  % (22281)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.32/0.89  % (22281)Termination reason: Unknown
% 3.32/0.89  % (22281)Termination phase: Saturation
% 3.32/0.89  
% 3.32/0.89  % (22281)Memory used [KB]: 6780
% 3.32/0.89  % (22281)Time elapsed: 0.031 s
% 3.32/0.89  % (22281)Instructions burned: 69 (million)
% 3.32/0.89  % (22281)------------------------------
% 3.32/0.89  % (22281)------------------------------
% 3.32/0.90  % (22224)Instruction limit reached!
% 3.32/0.90  % (22224)------------------------------
% 3.32/0.90  % (22224)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.32/0.90  % (22323)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/68Mi)
% 3.32/0.91  % (22224)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.32/0.91  % (22224)Termination reason: Unknown
% 3.32/0.91  % (22224)Termination phase: Saturation
% 3.32/0.91  
% 3.32/0.91  % (22224)Memory used [KB]: 7803
% 3.32/0.91  % (22224)Time elapsed: 0.090 s
% 3.32/0.91  % (22224)Instructions burned: 176 (million)
% 3.32/0.91  % (22224)------------------------------
% 3.32/0.91  % (22224)------------------------------
% 3.32/0.92  % (22329)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/1824Mi)
% 3.32/0.92  % (22320)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4756Mi)
% 3.32/0.93  % (22269)Instruction limit reached!
% 3.32/0.93  % (22269)------------------------------
% 3.32/0.93  % (22269)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.32/0.94  % (22269)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.32/0.94  % (22269)Termination reason: Unknown
% 3.32/0.94  % (22269)Termination phase: Saturation
% 3.32/0.94  
% 3.32/0.94  % (22269)Memory used [KB]: 6780
% 3.32/0.94  % (22269)Time elapsed: 0.192 s
% 3.32/0.94  % (22269)Instructions burned: 90 (million)
% 3.32/0.94  % (22269)------------------------------
% 3.32/0.94  % (22269)------------------------------
% 3.58/0.95  TRYING [6]
% 3.58/0.96  % (22285)Instruction limit reached!
% 3.58/0.96  % (22285)------------------------------
% 3.58/0.96  % (22285)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.58/0.96  % (22285)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.58/0.96  % (22285)Termination reason: Unknown
% 3.58/0.96  % (22285)Termination phase: Saturation
% 3.58/0.96  
% 3.58/0.96  % (22285)Memory used [KB]: 6780
% 3.58/0.96  % (22285)Time elapsed: 0.209 s
% 3.58/0.96  % (22285)Instructions burned: 91 (million)
% 3.58/0.96  % (22285)------------------------------
% 3.58/0.96  % (22285)------------------------------
% 3.58/0.96  % (22342)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2134Mi)
% 3.58/0.99  % (22323)Instruction limit reached!
% 3.58/0.99  % (22323)------------------------------
% 3.58/0.99  % (22323)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.58/0.99  % (22323)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.58/0.99  % (22323)Termination reason: Unknown
% 3.58/0.99  % (22323)Termination phase: Saturation
% 3.58/0.99  
% 3.58/0.99  % (22323)Memory used [KB]: 6780
% 3.58/0.99  % (22323)Time elapsed: 0.030 s
% 3.58/0.99  % (22323)Instructions burned: 69 (million)
% 3.58/0.99  % (22323)------------------------------
% 3.58/0.99  % (22323)------------------------------
% 3.58/0.99  % (22373)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4585Mi)
% 3.83/1.00  % (22372)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2891Mi)
% 3.83/1.01  % (22393)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/90Mi)
% 3.83/1.03  % (22251)Instruction limit reached!
% 3.83/1.03  % (22251)------------------------------
% 3.83/1.03  % (22251)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.83/1.03  % (22251)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.83/1.03  % (22251)Termination reason: Unknown
% 3.83/1.04  % (22251)Termination phase: Saturation
% 3.83/1.04  
% 3.83/1.04  % (22251)Memory used [KB]: 2430
% 3.83/1.04  % (22251)Time elapsed: 0.365 s
% 3.83/1.04  % (22251)Instructions burned: 211 (million)
% 3.83/1.04  % (22251)------------------------------
% 3.83/1.04  % (22251)------------------------------
% 3.83/1.04  % (22396)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2016Mi)
% 3.92/1.10  % (22415)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/8004Mi)
% 3.92/1.12  % (22422)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)
% 3.92/1.12  % (22393)Instruction limit reached!
% 3.92/1.12  % (22393)------------------------------
% 3.92/1.12  % (22393)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.92/1.13  % (22393)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.92/1.13  % (22393)Termination reason: Unknown
% 3.92/1.13  % (22393)Termination phase: Saturation
% 3.92/1.13  
% 3.92/1.13  % (22393)Memory used [KB]: 6780
% 3.92/1.13  % (22393)Time elapsed: 0.201 s
% 3.92/1.13  % (22393)Instructions burned: 90 (million)
% 3.92/1.13  % (22393)------------------------------
% 3.92/1.13  % (22393)------------------------------
% 3.92/1.13  % (22434)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9877Mi)
% 3.92/1.15  % (22440)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)
% 5.95/1.19  % (22233)Instruction limit reached!
% 5.95/1.19  % (22233)------------------------------
% 5.95/1.19  % (22233)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.95/1.19  % (22233)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.95/1.19  % (22233)Termination reason: Unknown
% 5.95/1.19  % (22233)Termination phase: Saturation
% 5.95/1.19  
% 5.95/1.19  % (22233)Memory used [KB]: 15863
% 5.95/1.19  % (22233)Time elapsed: 0.165 s
% 5.95/1.19  % (22233)Instructions burned: 356 (million)
% 5.95/1.19  % (22233)------------------------------
% 5.95/1.19  % (22233)------------------------------
% 6.78/1.27  % (22466)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/1824Mi)
% 6.78/1.28  TRYING [7]
% 6.78/1.29  % (22306)First to succeed.
% 6.78/1.32  % (22226)Instruction limit reached!
% 6.78/1.32  % (22226)------------------------------
% 6.78/1.32  % (22226)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.78/1.32  % (22226)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.78/1.32  % (22226)Termination reason: Unknown
% 6.78/1.32  % (22226)Termination phase: Saturation
% 6.78/1.32  
% 6.78/1.32  % (22226)Memory used [KB]: 2430
% 6.78/1.32  % (22226)Time elapsed: 0.839 s
% 6.78/1.32  % (22226)Instructions burned: 500 (million)
% 6.78/1.32  % (22226)------------------------------
% 6.78/1.32  % (22226)------------------------------
% 6.78/1.35  % (22306)Refutation found. Thanks to Tanya!
% 6.78/1.35  % SZS status Unsatisfiable for theBenchmark
% 6.78/1.35  % SZS output start Proof for theBenchmark
% See solution above
% 7.50/1.36  % (22306)------------------------------
% 7.50/1.36  % (22306)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.50/1.36  % (22306)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.50/1.36  % (22306)Termination reason: Refutation
% 7.50/1.36  
% 7.50/1.36  % (22306)Memory used [KB]: 2302
% 7.50/1.36  % (22306)Time elapsed: 0.141 s
% 7.50/1.36  % (22306)Instructions burned: 347 (million)
% 7.50/1.36  % (22306)------------------------------
% 7.50/1.36  % (22306)------------------------------
% 7.50/1.36  % (22203)Success in time 1.001 s
%------------------------------------------------------------------------------