TSTP Solution File: ALG031+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : ALG031+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 04:15:50 EDT 2024

% Result   : Theorem 0.18s 0.42s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   24
% Syntax   : Number of formulae    :  729 ( 303 unt;   0 def)
%            Number of atoms       : 2109 (1466 equ)
%            Maximal formula atoms :  156 (   2 avg)
%            Number of connectives : 2083 ( 703   ~; 849   |; 511   &)
%                                         (  18 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  101 (   3 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :   20 (  18 usr;  19 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;  12 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2076,plain,
    $false,
    inference(avatar_sat_refutation,[],[f340,f356,f373,f418,f442,f462,f516,f577,f593,f622,f695,f709,f758,f837,f851,f963,f1076,f1155,f1236,f1259,f1401,f1407,f1415,f1468,f1552,f1560,f1611,f1618,f1780,f1791,f1797,f1908,f1920,f1928,f1998,f2004,f2010,f2059,f2073]) ).

fof(f2073,plain,
    ~ spl0_18,
    inference(avatar_contradiction_clause,[],[f2072]) ).

fof(f2072,plain,
    ( $false
    | ~ spl0_18 ),
    inference(subsumption_resolution,[],[f2071,f125]) ).

fof(f125,plain,
    e20 != e25,
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ( e24 != e25
    & e23 != e25
    & e23 != e24
    & e22 != e25
    & e22 != e24
    & e22 != e23
    & e21 != e25
    & e21 != e24
    & e21 != e23
    & e21 != e22
    & e20 != e25
    & e20 != e24
    & e20 != e23
    & e20 != e22
    & e20 != e21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).

fof(f2071,plain,
    ( e20 = e25
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f2070,f172]) ).

fof(f172,plain,
    e20 = op2(e20,e20),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,axiom,
    ( e20 = op2(e25,e25)
    & e22 = op2(e25,e24)
    & e21 = op2(e25,e23)
    & e24 = op2(e25,e22)
    & e23 = op2(e25,e21)
    & e25 = op2(e25,e20)
    & e21 = op2(e24,e25)
    & e23 = op2(e24,e24)
    & e20 = op2(e24,e23)
    & e25 = op2(e24,e22)
    & e22 = op2(e24,e21)
    & e24 = op2(e24,e20)
    & e22 = op2(e23,e25)
    & e20 = op2(e23,e24)
    & e24 = op2(e23,e23)
    & e21 = op2(e23,e22)
    & e25 = op2(e23,e21)
    & e23 = op2(e23,e20)
    & e23 = op2(e22,e25)
    & e21 = op2(e22,e24)
    & e25 = op2(e22,e23)
    & e20 = op2(e22,e22)
    & e24 = op2(e22,e21)
    & e22 = op2(e22,e20)
    & e24 = op2(e21,e25)
    & e25 = op2(e21,e24)
    & e22 = op2(e21,e23)
    & e23 = op2(e21,e22)
    & e20 = op2(e21,e21)
    & e21 = op2(e21,e20)
    & e25 = op2(e20,e25)
    & e24 = op2(e20,e24)
    & e23 = op2(e20,e23)
    & e22 = op2(e20,e22)
    & e21 = op2(e20,e21)
    & e20 = op2(e20,e20) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).

fof(f2070,plain,
    ( e25 = op2(e20,e20)
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f2051,f576]) ).

fof(f576,plain,
    ( e25 = h(e12)
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f574]) ).

fof(f574,plain,
    ( spl0_18
  <=> e25 = h(e12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f2051,plain,
    ( op2(e20,e20) = h(e12)
    | ~ spl0_18 ),
    inference(superposition,[],[f265,f1794]) ).

fof(f1794,plain,
    ( e20 = h(e13)
    | ~ spl0_18 ),
    inference(global_subsumption,[],[f93,f92,f91,f90,f89,f88,f87,f86,f85,f84,f83,f82,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f106,f107,f108,f109,f110,f111,f112,f113,f114,f115,f116,f117,f118,f119,f120,f121,f122,f123,f124,f125,f126,f127,f128,f129,f130,f131,f132,f133,f134,f135,f136,f137,f138,f139,f140,f141,f142,f143,f144,f145,f146,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f158,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f94,f95,f96,f97,f98,f99,f100,f101,f102,f103,f104,f105,f172,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f186,f187,f188,f189,f190,f191,f192,f193,f194,f195,f196,f197,f198,f199,f200,f201,f202,f203,f204,f205,f206,f207,f208,f209,f210,f211,f212,f213,f214,f215,f216,f217,f218,f219,f220,f221,f222,f223,f224,f225,f226,f227,f228,f229,f230,f231,f232,f233,f234,f235,f236,f237,f238,f239,f240,f241,f242,f243,f244,f245,f246,f247,f248,f249,f250,f251,f252,f253,f254,f255,f256,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f272,f273,f274,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f285,f286,f287,f288,f289,f290,f291,f292,f293,f294,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f315,f10,f11,f12,f14,f576,f1186,f1169,f1172,f1162,f1193,f1196,f1198,f1200,f13]) ).

fof(f13,plain,
    ( e25 = h(e13)
    | e24 = h(e13)
    | e23 = h(e13)
    | e22 = h(e13)
    | e21 = h(e13)
    | e20 = h(e13) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,plain,
    ( e15 = j(h(e15))
    & e14 = j(h(e14))
    & e13 = j(h(e13))
    & e12 = j(h(e12))
    & e11 = j(h(e11))
    & e10 = j(h(e10))
    & e25 = h(j(e25))
    & e24 = h(j(e24))
    & e23 = h(j(e23))
    & e22 = h(j(e22))
    & e21 = h(j(e21))
    & e20 = h(j(e20))
    & j(op2(e25,e25)) = op1(j(e25),j(e25))
    & j(op2(e25,e24)) = op1(j(e25),j(e24))
    & j(op2(e25,e23)) = op1(j(e25),j(e23))
    & j(op2(e25,e22)) = op1(j(e25),j(e22))
    & j(op2(e25,e21)) = op1(j(e25),j(e21))
    & j(op2(e25,e20)) = op1(j(e25),j(e20))
    & j(op2(e24,e25)) = op1(j(e24),j(e25))
    & j(op2(e24,e24)) = op1(j(e24),j(e24))
    & j(op2(e24,e23)) = op1(j(e24),j(e23))
    & j(op2(e24,e22)) = op1(j(e24),j(e22))
    & j(op2(e24,e21)) = op1(j(e24),j(e21))
    & j(op2(e24,e20)) = op1(j(e24),j(e20))
    & j(op2(e23,e25)) = op1(j(e23),j(e25))
    & j(op2(e23,e24)) = op1(j(e23),j(e24))
    & j(op2(e23,e23)) = op1(j(e23),j(e23))
    & j(op2(e23,e22)) = op1(j(e23),j(e22))
    & j(op2(e23,e21)) = op1(j(e23),j(e21))
    & j(op2(e23,e20)) = op1(j(e23),j(e20))
    & j(op2(e22,e25)) = op1(j(e22),j(e25))
    & j(op2(e22,e24)) = op1(j(e22),j(e24))
    & j(op2(e22,e23)) = op1(j(e22),j(e23))
    & j(op2(e22,e22)) = op1(j(e22),j(e22))
    & j(op2(e22,e21)) = op1(j(e22),j(e21))
    & j(op2(e22,e20)) = op1(j(e22),j(e20))
    & j(op2(e21,e25)) = op1(j(e21),j(e25))
    & j(op2(e21,e24)) = op1(j(e21),j(e24))
    & j(op2(e21,e23)) = op1(j(e21),j(e23))
    & j(op2(e21,e22)) = op1(j(e21),j(e22))
    & j(op2(e21,e21)) = op1(j(e21),j(e21))
    & j(op2(e21,e20)) = op1(j(e21),j(e20))
    & j(op2(e20,e25)) = op1(j(e20),j(e25))
    & j(op2(e20,e24)) = op1(j(e20),j(e24))
    & j(op2(e20,e23)) = op1(j(e20),j(e23))
    & j(op2(e20,e22)) = op1(j(e20),j(e22))
    & j(op2(e20,e21)) = op1(j(e20),j(e21))
    & j(op2(e20,e20)) = op1(j(e20),j(e20))
    & h(op1(e15,e15)) = op2(h(e15),h(e15))
    & h(op1(e15,e14)) = op2(h(e15),h(e14))
    & h(op1(e15,e13)) = op2(h(e15),h(e13))
    & h(op1(e15,e12)) = op2(h(e15),h(e12))
    & h(op1(e15,e11)) = op2(h(e15),h(e11))
    & h(op1(e15,e10)) = op2(h(e15),h(e10))
    & h(op1(e14,e15)) = op2(h(e14),h(e15))
    & h(op1(e14,e14)) = op2(h(e14),h(e14))
    & h(op1(e14,e13)) = op2(h(e14),h(e13))
    & h(op1(e14,e12)) = op2(h(e14),h(e12))
    & h(op1(e14,e11)) = op2(h(e14),h(e11))
    & h(op1(e14,e10)) = op2(h(e14),h(e10))
    & h(op1(e13,e15)) = op2(h(e13),h(e15))
    & h(op1(e13,e14)) = op2(h(e13),h(e14))
    & h(op1(e13,e13)) = op2(h(e13),h(e13))
    & h(op1(e13,e12)) = op2(h(e13),h(e12))
    & h(op1(e13,e11)) = op2(h(e13),h(e11))
    & h(op1(e13,e10)) = op2(h(e13),h(e10))
    & h(op1(e12,e15)) = op2(h(e12),h(e15))
    & h(op1(e12,e14)) = op2(h(e12),h(e14))
    & h(op1(e12,e13)) = op2(h(e12),h(e13))
    & h(op1(e12,e12)) = op2(h(e12),h(e12))
    & h(op1(e12,e11)) = op2(h(e12),h(e11))
    & h(op1(e12,e10)) = op2(h(e12),h(e10))
    & h(op1(e11,e15)) = op2(h(e11),h(e15))
    & h(op1(e11,e14)) = op2(h(e11),h(e14))
    & h(op1(e11,e13)) = op2(h(e11),h(e13))
    & h(op1(e11,e12)) = op2(h(e11),h(e12))
    & h(op1(e11,e11)) = op2(h(e11),h(e11))
    & h(op1(e11,e10)) = op2(h(e11),h(e10))
    & h(op1(e10,e15)) = op2(h(e10),h(e15))
    & h(op1(e10,e14)) = op2(h(e10),h(e14))
    & h(op1(e10,e13)) = op2(h(e10),h(e13))
    & h(op1(e10,e12)) = op2(h(e10),h(e12))
    & h(op1(e10,e11)) = op2(h(e10),h(e11))
    & h(op1(e10,e10)) = op2(h(e10),h(e10))
    & ( e15 = j(e25)
      | e14 = j(e25)
      | e13 = j(e25)
      | e12 = j(e25)
      | e11 = j(e25)
      | e10 = j(e25) )
    & ( e15 = j(e24)
      | e14 = j(e24)
      | e13 = j(e24)
      | e12 = j(e24)
      | e11 = j(e24)
      | e10 = j(e24) )
    & ( e15 = j(e23)
      | e14 = j(e23)
      | e13 = j(e23)
      | e12 = j(e23)
      | e11 = j(e23)
      | e10 = j(e23) )
    & ( e15 = j(e22)
      | e14 = j(e22)
      | e13 = j(e22)
      | e12 = j(e22)
      | e11 = j(e22)
      | e10 = j(e22) )
    & ( e15 = j(e21)
      | e14 = j(e21)
      | e13 = j(e21)
      | e12 = j(e21)
      | e11 = j(e21)
      | e10 = j(e21) )
    & ( e15 = j(e20)
      | e14 = j(e20)
      | e13 = j(e20)
      | e12 = j(e20)
      | e11 = j(e20)
      | e10 = j(e20) )
    & ( e25 = h(e15)
      | e24 = h(e15)
      | e23 = h(e15)
      | e22 = h(e15)
      | e21 = h(e15)
      | e20 = h(e15) )
    & ( e25 = h(e14)
      | e24 = h(e14)
      | e23 = h(e14)
      | e22 = h(e14)
      | e21 = h(e14)
      | e20 = h(e14) )
    & ( e25 = h(e13)
      | e24 = h(e13)
      | e23 = h(e13)
      | e22 = h(e13)
      | e21 = h(e13)
      | e20 = h(e13) )
    & ( e25 = h(e12)
      | e24 = h(e12)
      | e23 = h(e12)
      | e22 = h(e12)
      | e21 = h(e12)
      | e20 = h(e12) )
    & ( e25 = h(e11)
      | e24 = h(e11)
      | e23 = h(e11)
      | e22 = h(e11)
      | e21 = h(e11)
      | e20 = h(e11) )
    & ( e25 = h(e10)
      | e24 = h(e10)
      | e23 = h(e10)
      | e22 = h(e10)
      | e21 = h(e10)
      | e20 = h(e10) ) ),
    inference(flattening,[],[f8]) ).

fof(f8,plain,
    ( e15 = j(h(e15))
    & e14 = j(h(e14))
    & e13 = j(h(e13))
    & e12 = j(h(e12))
    & e11 = j(h(e11))
    & e10 = j(h(e10))
    & e25 = h(j(e25))
    & e24 = h(j(e24))
    & e23 = h(j(e23))
    & e22 = h(j(e22))
    & e21 = h(j(e21))
    & e20 = h(j(e20))
    & j(op2(e25,e25)) = op1(j(e25),j(e25))
    & j(op2(e25,e24)) = op1(j(e25),j(e24))
    & j(op2(e25,e23)) = op1(j(e25),j(e23))
    & j(op2(e25,e22)) = op1(j(e25),j(e22))
    & j(op2(e25,e21)) = op1(j(e25),j(e21))
    & j(op2(e25,e20)) = op1(j(e25),j(e20))
    & j(op2(e24,e25)) = op1(j(e24),j(e25))
    & j(op2(e24,e24)) = op1(j(e24),j(e24))
    & j(op2(e24,e23)) = op1(j(e24),j(e23))
    & j(op2(e24,e22)) = op1(j(e24),j(e22))
    & j(op2(e24,e21)) = op1(j(e24),j(e21))
    & j(op2(e24,e20)) = op1(j(e24),j(e20))
    & j(op2(e23,e25)) = op1(j(e23),j(e25))
    & j(op2(e23,e24)) = op1(j(e23),j(e24))
    & j(op2(e23,e23)) = op1(j(e23),j(e23))
    & j(op2(e23,e22)) = op1(j(e23),j(e22))
    & j(op2(e23,e21)) = op1(j(e23),j(e21))
    & j(op2(e23,e20)) = op1(j(e23),j(e20))
    & j(op2(e22,e25)) = op1(j(e22),j(e25))
    & j(op2(e22,e24)) = op1(j(e22),j(e24))
    & j(op2(e22,e23)) = op1(j(e22),j(e23))
    & j(op2(e22,e22)) = op1(j(e22),j(e22))
    & j(op2(e22,e21)) = op1(j(e22),j(e21))
    & j(op2(e22,e20)) = op1(j(e22),j(e20))
    & j(op2(e21,e25)) = op1(j(e21),j(e25))
    & j(op2(e21,e24)) = op1(j(e21),j(e24))
    & j(op2(e21,e23)) = op1(j(e21),j(e23))
    & j(op2(e21,e22)) = op1(j(e21),j(e22))
    & j(op2(e21,e21)) = op1(j(e21),j(e21))
    & j(op2(e21,e20)) = op1(j(e21),j(e20))
    & j(op2(e20,e25)) = op1(j(e20),j(e25))
    & j(op2(e20,e24)) = op1(j(e20),j(e24))
    & j(op2(e20,e23)) = op1(j(e20),j(e23))
    & j(op2(e20,e22)) = op1(j(e20),j(e22))
    & j(op2(e20,e21)) = op1(j(e20),j(e21))
    & j(op2(e20,e20)) = op1(j(e20),j(e20))
    & h(op1(e15,e15)) = op2(h(e15),h(e15))
    & h(op1(e15,e14)) = op2(h(e15),h(e14))
    & h(op1(e15,e13)) = op2(h(e15),h(e13))
    & h(op1(e15,e12)) = op2(h(e15),h(e12))
    & h(op1(e15,e11)) = op2(h(e15),h(e11))
    & h(op1(e15,e10)) = op2(h(e15),h(e10))
    & h(op1(e14,e15)) = op2(h(e14),h(e15))
    & h(op1(e14,e14)) = op2(h(e14),h(e14))
    & h(op1(e14,e13)) = op2(h(e14),h(e13))
    & h(op1(e14,e12)) = op2(h(e14),h(e12))
    & h(op1(e14,e11)) = op2(h(e14),h(e11))
    & h(op1(e14,e10)) = op2(h(e14),h(e10))
    & h(op1(e13,e15)) = op2(h(e13),h(e15))
    & h(op1(e13,e14)) = op2(h(e13),h(e14))
    & h(op1(e13,e13)) = op2(h(e13),h(e13))
    & h(op1(e13,e12)) = op2(h(e13),h(e12))
    & h(op1(e13,e11)) = op2(h(e13),h(e11))
    & h(op1(e13,e10)) = op2(h(e13),h(e10))
    & h(op1(e12,e15)) = op2(h(e12),h(e15))
    & h(op1(e12,e14)) = op2(h(e12),h(e14))
    & h(op1(e12,e13)) = op2(h(e12),h(e13))
    & h(op1(e12,e12)) = op2(h(e12),h(e12))
    & h(op1(e12,e11)) = op2(h(e12),h(e11))
    & h(op1(e12,e10)) = op2(h(e12),h(e10))
    & h(op1(e11,e15)) = op2(h(e11),h(e15))
    & h(op1(e11,e14)) = op2(h(e11),h(e14))
    & h(op1(e11,e13)) = op2(h(e11),h(e13))
    & h(op1(e11,e12)) = op2(h(e11),h(e12))
    & h(op1(e11,e11)) = op2(h(e11),h(e11))
    & h(op1(e11,e10)) = op2(h(e11),h(e10))
    & h(op1(e10,e15)) = op2(h(e10),h(e15))
    & h(op1(e10,e14)) = op2(h(e10),h(e14))
    & h(op1(e10,e13)) = op2(h(e10),h(e13))
    & h(op1(e10,e12)) = op2(h(e10),h(e12))
    & h(op1(e10,e11)) = op2(h(e10),h(e11))
    & h(op1(e10,e10)) = op2(h(e10),h(e10))
    & ( e15 = j(e25)
      | e14 = j(e25)
      | e13 = j(e25)
      | e12 = j(e25)
      | e11 = j(e25)
      | e10 = j(e25) )
    & ( e15 = j(e24)
      | e14 = j(e24)
      | e13 = j(e24)
      | e12 = j(e24)
      | e11 = j(e24)
      | e10 = j(e24) )
    & ( e15 = j(e23)
      | e14 = j(e23)
      | e13 = j(e23)
      | e12 = j(e23)
      | e11 = j(e23)
      | e10 = j(e23) )
    & ( e15 = j(e22)
      | e14 = j(e22)
      | e13 = j(e22)
      | e12 = j(e22)
      | e11 = j(e22)
      | e10 = j(e22) )
    & ( e15 = j(e21)
      | e14 = j(e21)
      | e13 = j(e21)
      | e12 = j(e21)
      | e11 = j(e21)
      | e10 = j(e21) )
    & ( e15 = j(e20)
      | e14 = j(e20)
      | e13 = j(e20)
      | e12 = j(e20)
      | e11 = j(e20)
      | e10 = j(e20) )
    & ( e25 = h(e15)
      | e24 = h(e15)
      | e23 = h(e15)
      | e22 = h(e15)
      | e21 = h(e15)
      | e20 = h(e15) )
    & ( e25 = h(e14)
      | e24 = h(e14)
      | e23 = h(e14)
      | e22 = h(e14)
      | e21 = h(e14)
      | e20 = h(e14) )
    & ( e25 = h(e13)
      | e24 = h(e13)
      | e23 = h(e13)
      | e22 = h(e13)
      | e21 = h(e13)
      | e20 = h(e13) )
    & ( e25 = h(e12)
      | e24 = h(e12)
      | e23 = h(e12)
      | e22 = h(e12)
      | e21 = h(e12)
      | e20 = h(e12) )
    & ( e25 = h(e11)
      | e24 = h(e11)
      | e23 = h(e11)
      | e22 = h(e11)
      | e21 = h(e11)
      | e20 = h(e11) )
    & ( e25 = h(e10)
      | e24 = h(e10)
      | e23 = h(e10)
      | e22 = h(e10)
      | e21 = h(e10)
      | e20 = h(e10) ) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,negated_conjecture,
    ~ ( ( ( e15 = j(e25)
          | e14 = j(e25)
          | e13 = j(e25)
          | e12 = j(e25)
          | e11 = j(e25)
          | e10 = j(e25) )
        & ( e15 = j(e24)
          | e14 = j(e24)
          | e13 = j(e24)
          | e12 = j(e24)
          | e11 = j(e24)
          | e10 = j(e24) )
        & ( e15 = j(e23)
          | e14 = j(e23)
          | e13 = j(e23)
          | e12 = j(e23)
          | e11 = j(e23)
          | e10 = j(e23) )
        & ( e15 = j(e22)
          | e14 = j(e22)
          | e13 = j(e22)
          | e12 = j(e22)
          | e11 = j(e22)
          | e10 = j(e22) )
        & ( e15 = j(e21)
          | e14 = j(e21)
          | e13 = j(e21)
          | e12 = j(e21)
          | e11 = j(e21)
          | e10 = j(e21) )
        & ( e15 = j(e20)
          | e14 = j(e20)
          | e13 = j(e20)
          | e12 = j(e20)
          | e11 = j(e20)
          | e10 = j(e20) )
        & ( e25 = h(e15)
          | e24 = h(e15)
          | e23 = h(e15)
          | e22 = h(e15)
          | e21 = h(e15)
          | e20 = h(e15) )
        & ( e25 = h(e14)
          | e24 = h(e14)
          | e23 = h(e14)
          | e22 = h(e14)
          | e21 = h(e14)
          | e20 = h(e14) )
        & ( e25 = h(e13)
          | e24 = h(e13)
          | e23 = h(e13)
          | e22 = h(e13)
          | e21 = h(e13)
          | e20 = h(e13) )
        & ( e25 = h(e12)
          | e24 = h(e12)
          | e23 = h(e12)
          | e22 = h(e12)
          | e21 = h(e12)
          | e20 = h(e12) )
        & ( e25 = h(e11)
          | e24 = h(e11)
          | e23 = h(e11)
          | e22 = h(e11)
          | e21 = h(e11)
          | e20 = h(e11) )
        & ( e25 = h(e10)
          | e24 = h(e10)
          | e23 = h(e10)
          | e22 = h(e10)
          | e21 = h(e10)
          | e20 = h(e10) ) )
     => ~ ( e15 = j(h(e15))
          & e14 = j(h(e14))
          & e13 = j(h(e13))
          & e12 = j(h(e12))
          & e11 = j(h(e11))
          & e10 = j(h(e10))
          & e25 = h(j(e25))
          & e24 = h(j(e24))
          & e23 = h(j(e23))
          & e22 = h(j(e22))
          & e21 = h(j(e21))
          & e20 = h(j(e20))
          & j(op2(e25,e25)) = op1(j(e25),j(e25))
          & j(op2(e25,e24)) = op1(j(e25),j(e24))
          & j(op2(e25,e23)) = op1(j(e25),j(e23))
          & j(op2(e25,e22)) = op1(j(e25),j(e22))
          & j(op2(e25,e21)) = op1(j(e25),j(e21))
          & j(op2(e25,e20)) = op1(j(e25),j(e20))
          & j(op2(e24,e25)) = op1(j(e24),j(e25))
          & j(op2(e24,e24)) = op1(j(e24),j(e24))
          & j(op2(e24,e23)) = op1(j(e24),j(e23))
          & j(op2(e24,e22)) = op1(j(e24),j(e22))
          & j(op2(e24,e21)) = op1(j(e24),j(e21))
          & j(op2(e24,e20)) = op1(j(e24),j(e20))
          & j(op2(e23,e25)) = op1(j(e23),j(e25))
          & j(op2(e23,e24)) = op1(j(e23),j(e24))
          & j(op2(e23,e23)) = op1(j(e23),j(e23))
          & j(op2(e23,e22)) = op1(j(e23),j(e22))
          & j(op2(e23,e21)) = op1(j(e23),j(e21))
          & j(op2(e23,e20)) = op1(j(e23),j(e20))
          & j(op2(e22,e25)) = op1(j(e22),j(e25))
          & j(op2(e22,e24)) = op1(j(e22),j(e24))
          & j(op2(e22,e23)) = op1(j(e22),j(e23))
          & j(op2(e22,e22)) = op1(j(e22),j(e22))
          & j(op2(e22,e21)) = op1(j(e22),j(e21))
          & j(op2(e22,e20)) = op1(j(e22),j(e20))
          & j(op2(e21,e25)) = op1(j(e21),j(e25))
          & j(op2(e21,e24)) = op1(j(e21),j(e24))
          & j(op2(e21,e23)) = op1(j(e21),j(e23))
          & j(op2(e21,e22)) = op1(j(e21),j(e22))
          & j(op2(e21,e21)) = op1(j(e21),j(e21))
          & j(op2(e21,e20)) = op1(j(e21),j(e20))
          & j(op2(e20,e25)) = op1(j(e20),j(e25))
          & j(op2(e20,e24)) = op1(j(e20),j(e24))
          & j(op2(e20,e23)) = op1(j(e20),j(e23))
          & j(op2(e20,e22)) = op1(j(e20),j(e22))
          & j(op2(e20,e21)) = op1(j(e20),j(e21))
          & j(op2(e20,e20)) = op1(j(e20),j(e20))
          & h(op1(e15,e15)) = op2(h(e15),h(e15))
          & h(op1(e15,e14)) = op2(h(e15),h(e14))
          & h(op1(e15,e13)) = op2(h(e15),h(e13))
          & h(op1(e15,e12)) = op2(h(e15),h(e12))
          & h(op1(e15,e11)) = op2(h(e15),h(e11))
          & h(op1(e15,e10)) = op2(h(e15),h(e10))
          & h(op1(e14,e15)) = op2(h(e14),h(e15))
          & h(op1(e14,e14)) = op2(h(e14),h(e14))
          & h(op1(e14,e13)) = op2(h(e14),h(e13))
          & h(op1(e14,e12)) = op2(h(e14),h(e12))
          & h(op1(e14,e11)) = op2(h(e14),h(e11))
          & h(op1(e14,e10)) = op2(h(e14),h(e10))
          & h(op1(e13,e15)) = op2(h(e13),h(e15))
          & h(op1(e13,e14)) = op2(h(e13),h(e14))
          & h(op1(e13,e13)) = op2(h(e13),h(e13))
          & h(op1(e13,e12)) = op2(h(e13),h(e12))
          & h(op1(e13,e11)) = op2(h(e13),h(e11))
          & h(op1(e13,e10)) = op2(h(e13),h(e10))
          & h(op1(e12,e15)) = op2(h(e12),h(e15))
          & h(op1(e12,e14)) = op2(h(e12),h(e14))
          & h(op1(e12,e13)) = op2(h(e12),h(e13))
          & h(op1(e12,e12)) = op2(h(e12),h(e12))
          & h(op1(e12,e11)) = op2(h(e12),h(e11))
          & h(op1(e12,e10)) = op2(h(e12),h(e10))
          & h(op1(e11,e15)) = op2(h(e11),h(e15))
          & h(op1(e11,e14)) = op2(h(e11),h(e14))
          & h(op1(e11,e13)) = op2(h(e11),h(e13))
          & h(op1(e11,e12)) = op2(h(e11),h(e12))
          & h(op1(e11,e11)) = op2(h(e11),h(e11))
          & h(op1(e11,e10)) = op2(h(e11),h(e10))
          & h(op1(e10,e15)) = op2(h(e10),h(e15))
          & h(op1(e10,e14)) = op2(h(e10),h(e14))
          & h(op1(e10,e13)) = op2(h(e10),h(e13))
          & h(op1(e10,e12)) = op2(h(e10),h(e12))
          & h(op1(e10,e11)) = op2(h(e10),h(e11))
          & h(op1(e10,e10)) = op2(h(e10),h(e10)) ) ),
    inference(negated_conjecture,[],[f6]) ).

fof(f6,conjecture,
    ( ( ( e15 = j(e25)
        | e14 = j(e25)
        | e13 = j(e25)
        | e12 = j(e25)
        | e11 = j(e25)
        | e10 = j(e25) )
      & ( e15 = j(e24)
        | e14 = j(e24)
        | e13 = j(e24)
        | e12 = j(e24)
        | e11 = j(e24)
        | e10 = j(e24) )
      & ( e15 = j(e23)
        | e14 = j(e23)
        | e13 = j(e23)
        | e12 = j(e23)
        | e11 = j(e23)
        | e10 = j(e23) )
      & ( e15 = j(e22)
        | e14 = j(e22)
        | e13 = j(e22)
        | e12 = j(e22)
        | e11 = j(e22)
        | e10 = j(e22) )
      & ( e15 = j(e21)
        | e14 = j(e21)
        | e13 = j(e21)
        | e12 = j(e21)
        | e11 = j(e21)
        | e10 = j(e21) )
      & ( e15 = j(e20)
        | e14 = j(e20)
        | e13 = j(e20)
        | e12 = j(e20)
        | e11 = j(e20)
        | e10 = j(e20) )
      & ( e25 = h(e15)
        | e24 = h(e15)
        | e23 = h(e15)
        | e22 = h(e15)
        | e21 = h(e15)
        | e20 = h(e15) )
      & ( e25 = h(e14)
        | e24 = h(e14)
        | e23 = h(e14)
        | e22 = h(e14)
        | e21 = h(e14)
        | e20 = h(e14) )
      & ( e25 = h(e13)
        | e24 = h(e13)
        | e23 = h(e13)
        | e22 = h(e13)
        | e21 = h(e13)
        | e20 = h(e13) )
      & ( e25 = h(e12)
        | e24 = h(e12)
        | e23 = h(e12)
        | e22 = h(e12)
        | e21 = h(e12)
        | e20 = h(e12) )
      & ( e25 = h(e11)
        | e24 = h(e11)
        | e23 = h(e11)
        | e22 = h(e11)
        | e21 = h(e11)
        | e20 = h(e11) )
      & ( e25 = h(e10)
        | e24 = h(e10)
        | e23 = h(e10)
        | e22 = h(e10)
        | e21 = h(e10)
        | e20 = h(e10) ) )
   => ~ ( e15 = j(h(e15))
        & e14 = j(h(e14))
        & e13 = j(h(e13))
        & e12 = j(h(e12))
        & e11 = j(h(e11))
        & e10 = j(h(e10))
        & e25 = h(j(e25))
        & e24 = h(j(e24))
        & e23 = h(j(e23))
        & e22 = h(j(e22))
        & e21 = h(j(e21))
        & e20 = h(j(e20))
        & j(op2(e25,e25)) = op1(j(e25),j(e25))
        & j(op2(e25,e24)) = op1(j(e25),j(e24))
        & j(op2(e25,e23)) = op1(j(e25),j(e23))
        & j(op2(e25,e22)) = op1(j(e25),j(e22))
        & j(op2(e25,e21)) = op1(j(e25),j(e21))
        & j(op2(e25,e20)) = op1(j(e25),j(e20))
        & j(op2(e24,e25)) = op1(j(e24),j(e25))
        & j(op2(e24,e24)) = op1(j(e24),j(e24))
        & j(op2(e24,e23)) = op1(j(e24),j(e23))
        & j(op2(e24,e22)) = op1(j(e24),j(e22))
        & j(op2(e24,e21)) = op1(j(e24),j(e21))
        & j(op2(e24,e20)) = op1(j(e24),j(e20))
        & j(op2(e23,e25)) = op1(j(e23),j(e25))
        & j(op2(e23,e24)) = op1(j(e23),j(e24))
        & j(op2(e23,e23)) = op1(j(e23),j(e23))
        & j(op2(e23,e22)) = op1(j(e23),j(e22))
        & j(op2(e23,e21)) = op1(j(e23),j(e21))
        & j(op2(e23,e20)) = op1(j(e23),j(e20))
        & j(op2(e22,e25)) = op1(j(e22),j(e25))
        & j(op2(e22,e24)) = op1(j(e22),j(e24))
        & j(op2(e22,e23)) = op1(j(e22),j(e23))
        & j(op2(e22,e22)) = op1(j(e22),j(e22))
        & j(op2(e22,e21)) = op1(j(e22),j(e21))
        & j(op2(e22,e20)) = op1(j(e22),j(e20))
        & j(op2(e21,e25)) = op1(j(e21),j(e25))
        & j(op2(e21,e24)) = op1(j(e21),j(e24))
        & j(op2(e21,e23)) = op1(j(e21),j(e23))
        & j(op2(e21,e22)) = op1(j(e21),j(e22))
        & j(op2(e21,e21)) = op1(j(e21),j(e21))
        & j(op2(e21,e20)) = op1(j(e21),j(e20))
        & j(op2(e20,e25)) = op1(j(e20),j(e25))
        & j(op2(e20,e24)) = op1(j(e20),j(e24))
        & j(op2(e20,e23)) = op1(j(e20),j(e23))
        & j(op2(e20,e22)) = op1(j(e20),j(e22))
        & j(op2(e20,e21)) = op1(j(e20),j(e21))
        & j(op2(e20,e20)) = op1(j(e20),j(e20))
        & h(op1(e15,e15)) = op2(h(e15),h(e15))
        & h(op1(e15,e14)) = op2(h(e15),h(e14))
        & h(op1(e15,e13)) = op2(h(e15),h(e13))
        & h(op1(e15,e12)) = op2(h(e15),h(e12))
        & h(op1(e15,e11)) = op2(h(e15),h(e11))
        & h(op1(e15,e10)) = op2(h(e15),h(e10))
        & h(op1(e14,e15)) = op2(h(e14),h(e15))
        & h(op1(e14,e14)) = op2(h(e14),h(e14))
        & h(op1(e14,e13)) = op2(h(e14),h(e13))
        & h(op1(e14,e12)) = op2(h(e14),h(e12))
        & h(op1(e14,e11)) = op2(h(e14),h(e11))
        & h(op1(e14,e10)) = op2(h(e14),h(e10))
        & h(op1(e13,e15)) = op2(h(e13),h(e15))
        & h(op1(e13,e14)) = op2(h(e13),h(e14))
        & h(op1(e13,e13)) = op2(h(e13),h(e13))
        & h(op1(e13,e12)) = op2(h(e13),h(e12))
        & h(op1(e13,e11)) = op2(h(e13),h(e11))
        & h(op1(e13,e10)) = op2(h(e13),h(e10))
        & h(op1(e12,e15)) = op2(h(e12),h(e15))
        & h(op1(e12,e14)) = op2(h(e12),h(e14))
        & h(op1(e12,e13)) = op2(h(e12),h(e13))
        & h(op1(e12,e12)) = op2(h(e12),h(e12))
        & h(op1(e12,e11)) = op2(h(e12),h(e11))
        & h(op1(e12,e10)) = op2(h(e12),h(e10))
        & h(op1(e11,e15)) = op2(h(e11),h(e15))
        & h(op1(e11,e14)) = op2(h(e11),h(e14))
        & h(op1(e11,e13)) = op2(h(e11),h(e13))
        & h(op1(e11,e12)) = op2(h(e11),h(e12))
        & h(op1(e11,e11)) = op2(h(e11),h(e11))
        & h(op1(e11,e10)) = op2(h(e11),h(e10))
        & h(op1(e10,e15)) = op2(h(e10),h(e15))
        & h(op1(e10,e14)) = op2(h(e10),h(e14))
        & h(op1(e10,e13)) = op2(h(e10),h(e13))
        & h(op1(e10,e12)) = op2(h(e10),h(e12))
        & h(op1(e10,e11)) = op2(h(e10),h(e11))
        & h(op1(e10,e10)) = op2(h(e10),h(e10)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f1200,plain,
    ( j(e21) = op1(e12,j(e23))
    | ~ spl0_18 ),
    inference(superposition,[],[f313,f1162]) ).

fof(f1198,plain,
    ( j(e23) = op1(e12,j(e21))
    | ~ spl0_18 ),
    inference(superposition,[],[f311,f1162]) ).

fof(f1196,plain,
    ( j(e21) = op1(j(e24),e12)
    | ~ spl0_18 ),
    inference(superposition,[],[f309,f1162]) ).

fof(f1193,plain,
    ( j(e24) = op1(j(e21),e12)
    | ~ spl0_18 ),
    inference(superposition,[],[f291,f1162]) ).

fof(f1162,plain,
    ( e12 = j(e25)
    | ~ spl0_18 ),
    inference(superposition,[],[f102,f576]) ).

fof(f1172,plain,
    ( h(e15) = op2(h(e14),e25)
    | ~ spl0_18 ),
    inference(superposition,[],[f270,f576]) ).

fof(f1169,plain,
    ( h(e15) = op2(e25,h(e14))
    | ~ spl0_18 ),
    inference(superposition,[],[f260,f576]) ).

fof(f1186,plain,
    ( e20 = h(e13)
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1167,f207]) ).

fof(f1167,plain,
    ( op2(e25,e25) = h(e13)
    | ~ spl0_18 ),
    inference(superposition,[],[f258,f576]) ).

fof(f14,plain,
    ( e25 = h(e14)
    | e24 = h(e14)
    | e23 = h(e14)
    | e22 = h(e14)
    | e21 = h(e14)
    | e20 = h(e14) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f12,plain,
    ( e25 = h(e12)
    | e24 = h(e12)
    | e23 = h(e12)
    | e22 = h(e12)
    | e21 = h(e12)
    | e20 = h(e12) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f11,plain,
    ( e25 = h(e11)
    | e24 = h(e11)
    | e23 = h(e11)
    | e22 = h(e11)
    | e21 = h(e11)
    | e20 = h(e11) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f10,plain,
    ( e25 = h(e10)
    | e24 = h(e10)
    | e23 = h(e10)
    | e22 = h(e10)
    | e21 = h(e10)
    | e20 = h(e10) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f315,plain,
    j(e20) = op1(j(e25),j(e25)),
    inference(forward_demodulation,[],[f93,f207]) ).

fof(f314,plain,
    j(e22) = op1(j(e25),j(e24)),
    inference(forward_demodulation,[],[f92,f206]) ).

fof(f313,plain,
    j(e21) = op1(j(e25),j(e23)),
    inference(forward_demodulation,[],[f91,f205]) ).

fof(f312,plain,
    j(e24) = op1(j(e25),j(e22)),
    inference(forward_demodulation,[],[f90,f204]) ).

fof(f311,plain,
    j(e23) = op1(j(e25),j(e21)),
    inference(forward_demodulation,[],[f89,f203]) ).

fof(f310,plain,
    j(e25) = op1(j(e25),j(e20)),
    inference(forward_demodulation,[],[f88,f202]) ).

fof(f309,plain,
    j(e21) = op1(j(e24),j(e25)),
    inference(forward_demodulation,[],[f87,f201]) ).

fof(f308,plain,
    j(e23) = op1(j(e24),j(e24)),
    inference(forward_demodulation,[],[f86,f200]) ).

fof(f307,plain,
    j(e20) = op1(j(e24),j(e23)),
    inference(forward_demodulation,[],[f85,f199]) ).

fof(f306,plain,
    j(e25) = op1(j(e24),j(e22)),
    inference(forward_demodulation,[],[f84,f198]) ).

fof(f305,plain,
    j(e22) = op1(j(e24),j(e21)),
    inference(forward_demodulation,[],[f83,f197]) ).

fof(f304,plain,
    j(e24) = op1(j(e24),j(e20)),
    inference(forward_demodulation,[],[f82,f196]) ).

fof(f303,plain,
    j(e22) = op1(j(e23),j(e25)),
    inference(forward_demodulation,[],[f81,f195]) ).

fof(f302,plain,
    j(e20) = op1(j(e23),j(e24)),
    inference(forward_demodulation,[],[f80,f194]) ).

fof(f301,plain,
    j(e24) = op1(j(e23),j(e23)),
    inference(forward_demodulation,[],[f79,f193]) ).

fof(f300,plain,
    j(e21) = op1(j(e23),j(e22)),
    inference(forward_demodulation,[],[f78,f192]) ).

fof(f299,plain,
    j(e25) = op1(j(e23),j(e21)),
    inference(forward_demodulation,[],[f77,f191]) ).

fof(f298,plain,
    j(e23) = op1(j(e23),j(e20)),
    inference(forward_demodulation,[],[f76,f190]) ).

fof(f297,plain,
    j(e23) = op1(j(e22),j(e25)),
    inference(forward_demodulation,[],[f75,f189]) ).

fof(f296,plain,
    j(e21) = op1(j(e22),j(e24)),
    inference(forward_demodulation,[],[f74,f188]) ).

fof(f295,plain,
    j(e25) = op1(j(e22),j(e23)),
    inference(forward_demodulation,[],[f73,f187]) ).

fof(f294,plain,
    j(e20) = op1(j(e22),j(e22)),
    inference(forward_demodulation,[],[f72,f186]) ).

fof(f293,plain,
    j(e24) = op1(j(e22),j(e21)),
    inference(forward_demodulation,[],[f71,f185]) ).

fof(f292,plain,
    j(e22) = op1(j(e22),j(e20)),
    inference(forward_demodulation,[],[f70,f184]) ).

fof(f291,plain,
    j(e24) = op1(j(e21),j(e25)),
    inference(forward_demodulation,[],[f69,f183]) ).

fof(f290,plain,
    j(e25) = op1(j(e21),j(e24)),
    inference(forward_demodulation,[],[f68,f182]) ).

fof(f289,plain,
    j(e22) = op1(j(e21),j(e23)),
    inference(forward_demodulation,[],[f67,f181]) ).

fof(f288,plain,
    j(e23) = op1(j(e21),j(e22)),
    inference(forward_demodulation,[],[f66,f180]) ).

fof(f287,plain,
    j(e20) = op1(j(e21),j(e21)),
    inference(forward_demodulation,[],[f65,f179]) ).

fof(f286,plain,
    j(e21) = op1(j(e21),j(e20)),
    inference(forward_demodulation,[],[f64,f178]) ).

fof(f285,plain,
    j(e25) = op1(j(e20),j(e25)),
    inference(forward_demodulation,[],[f63,f177]) ).

fof(f284,plain,
    j(e24) = op1(j(e20),j(e24)),
    inference(forward_demodulation,[],[f62,f176]) ).

fof(f283,plain,
    j(e23) = op1(j(e20),j(e23)),
    inference(forward_demodulation,[],[f61,f175]) ).

fof(f282,plain,
    j(e22) = op1(j(e20),j(e22)),
    inference(forward_demodulation,[],[f60,f174]) ).

fof(f281,plain,
    j(e21) = op1(j(e20),j(e21)),
    inference(forward_demodulation,[],[f59,f173]) ).

fof(f280,plain,
    j(e20) = op1(j(e20),j(e20)),
    inference(forward_demodulation,[],[f58,f172]) ).

fof(f279,plain,
    h(e12) = op2(h(e15),h(e15)),
    inference(forward_demodulation,[],[f57,f243]) ).

fof(f278,plain,
    h(e10) = op2(h(e15),h(e14)),
    inference(forward_demodulation,[],[f56,f242]) ).

fof(f277,plain,
    h(e14) = op2(h(e15),h(e13)),
    inference(forward_demodulation,[],[f55,f241]) ).

fof(f276,plain,
    h(e11) = op2(h(e15),h(e12)),
    inference(forward_demodulation,[],[f54,f240]) ).

fof(f275,plain,
    h(e13) = op2(h(e15),h(e11)),
    inference(forward_demodulation,[],[f53,f239]) ).

fof(f274,plain,
    h(e15) = op2(h(e15),h(e10)),
    inference(forward_demodulation,[],[f52,f238]) ).

fof(f273,plain,
    h(e10) = op2(h(e14),h(e15)),
    inference(forward_demodulation,[],[f51,f237]) ).

fof(f272,plain,
    h(e13) = op2(h(e14),h(e14)),
    inference(forward_demodulation,[],[f50,f236]) ).

fof(f271,plain,
    h(e11) = op2(h(e14),h(e13)),
    inference(forward_demodulation,[],[f49,f235]) ).

fof(f270,plain,
    h(e15) = op2(h(e14),h(e12)),
    inference(forward_demodulation,[],[f48,f234]) ).

fof(f269,plain,
    h(e12) = op2(h(e14),h(e11)),
    inference(forward_demodulation,[],[f47,f233]) ).

fof(f268,plain,
    h(e14) = op2(h(e14),h(e10)),
    inference(forward_demodulation,[],[f46,f232]) ).

fof(f267,plain,
    h(e14) = op2(h(e13),h(e15)),
    inference(forward_demodulation,[],[f45,f231]) ).

fof(f266,plain,
    h(e11) = op2(h(e13),h(e14)),
    inference(forward_demodulation,[],[f44,f230]) ).

fof(f264,plain,
    h(e10) = op2(h(e13),h(e12)),
    inference(forward_demodulation,[],[f42,f228]) ).

fof(f263,plain,
    h(e15) = op2(h(e13),h(e11)),
    inference(forward_demodulation,[],[f41,f227]) ).

fof(f262,plain,
    h(e13) = op2(h(e13),h(e10)),
    inference(forward_demodulation,[],[f40,f226]) ).

fof(f261,plain,
    h(e11) = op2(h(e12),h(e15)),
    inference(forward_demodulation,[],[f39,f225]) ).

fof(f260,plain,
    h(e15) = op2(h(e12),h(e14)),
    inference(forward_demodulation,[],[f38,f224]) ).

fof(f259,plain,
    h(e10) = op2(h(e12),h(e13)),
    inference(forward_demodulation,[],[f37,f223]) ).

fof(f258,plain,
    h(e13) = op2(h(e12),h(e12)),
    inference(forward_demodulation,[],[f36,f222]) ).

fof(f257,plain,
    h(e14) = op2(h(e12),h(e11)),
    inference(forward_demodulation,[],[f35,f221]) ).

fof(f256,plain,
    h(e12) = op2(h(e12),h(e10)),
    inference(forward_demodulation,[],[f34,f220]) ).

fof(f255,plain,
    h(e13) = op2(h(e11),h(e15)),
    inference(forward_demodulation,[],[f33,f219]) ).

fof(f254,plain,
    h(e12) = op2(h(e11),h(e14)),
    inference(forward_demodulation,[],[f32,f218]) ).

fof(f253,plain,
    h(e15) = op2(h(e11),h(e13)),
    inference(forward_demodulation,[],[f31,f217]) ).

fof(f252,plain,
    h(e14) = op2(h(e11),h(e12)),
    inference(forward_demodulation,[],[f30,f216]) ).

fof(f251,plain,
    h(e10) = op2(h(e11),h(e11)),
    inference(forward_demodulation,[],[f29,f215]) ).

fof(f250,plain,
    h(e11) = op2(h(e11),h(e10)),
    inference(forward_demodulation,[],[f28,f214]) ).

fof(f249,plain,
    h(e15) = op2(h(e10),h(e15)),
    inference(forward_demodulation,[],[f27,f213]) ).

fof(f248,plain,
    h(e14) = op2(h(e10),h(e14)),
    inference(forward_demodulation,[],[f26,f212]) ).

fof(f247,plain,
    h(e13) = op2(h(e10),h(e13)),
    inference(forward_demodulation,[],[f25,f211]) ).

fof(f246,plain,
    h(e12) = op2(h(e10),h(e12)),
    inference(forward_demodulation,[],[f24,f210]) ).

fof(f245,plain,
    h(e11) = op2(h(e10),h(e11)),
    inference(forward_demodulation,[],[f23,f209]) ).

fof(f244,plain,
    h(e10) = op2(h(e10),h(e10)),
    inference(forward_demodulation,[],[f22,f208]) ).

fof(f243,plain,
    e12 = op1(e15,e15),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ( e12 = op1(e15,e15)
    & e10 = op1(e15,e14)
    & e14 = op1(e15,e13)
    & e11 = op1(e15,e12)
    & e13 = op1(e15,e11)
    & e15 = op1(e15,e10)
    & e10 = op1(e14,e15)
    & e13 = op1(e14,e14)
    & e11 = op1(e14,e13)
    & e15 = op1(e14,e12)
    & e12 = op1(e14,e11)
    & e14 = op1(e14,e10)
    & e14 = op1(e13,e15)
    & e11 = op1(e13,e14)
    & e12 = op1(e13,e13)
    & e10 = op1(e13,e12)
    & e15 = op1(e13,e11)
    & e13 = op1(e13,e10)
    & e11 = op1(e12,e15)
    & e15 = op1(e12,e14)
    & e10 = op1(e12,e13)
    & e13 = op1(e12,e12)
    & e14 = op1(e12,e11)
    & e12 = op1(e12,e10)
    & e13 = op1(e11,e15)
    & e12 = op1(e11,e14)
    & e15 = op1(e11,e13)
    & e14 = op1(e11,e12)
    & e10 = op1(e11,e11)
    & e11 = op1(e11,e10)
    & e15 = op1(e10,e15)
    & e14 = op1(e10,e14)
    & e13 = op1(e10,e13)
    & e12 = op1(e10,e12)
    & e11 = op1(e10,e11)
    & e10 = op1(e10,e10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).

fof(f242,plain,
    e10 = op1(e15,e14),
    inference(cnf_transformation,[],[f4]) ).

fof(f241,plain,
    e14 = op1(e15,e13),
    inference(cnf_transformation,[],[f4]) ).

fof(f240,plain,
    e11 = op1(e15,e12),
    inference(cnf_transformation,[],[f4]) ).

fof(f239,plain,
    e13 = op1(e15,e11),
    inference(cnf_transformation,[],[f4]) ).

fof(f238,plain,
    e15 = op1(e15,e10),
    inference(cnf_transformation,[],[f4]) ).

fof(f237,plain,
    e10 = op1(e14,e15),
    inference(cnf_transformation,[],[f4]) ).

fof(f236,plain,
    e13 = op1(e14,e14),
    inference(cnf_transformation,[],[f4]) ).

fof(f235,plain,
    e11 = op1(e14,e13),
    inference(cnf_transformation,[],[f4]) ).

fof(f234,plain,
    e15 = op1(e14,e12),
    inference(cnf_transformation,[],[f4]) ).

fof(f233,plain,
    e12 = op1(e14,e11),
    inference(cnf_transformation,[],[f4]) ).

fof(f232,plain,
    e14 = op1(e14,e10),
    inference(cnf_transformation,[],[f4]) ).

fof(f231,plain,
    e14 = op1(e13,e15),
    inference(cnf_transformation,[],[f4]) ).

fof(f230,plain,
    e11 = op1(e13,e14),
    inference(cnf_transformation,[],[f4]) ).

fof(f229,plain,
    e12 = op1(e13,e13),
    inference(cnf_transformation,[],[f4]) ).

fof(f228,plain,
    e10 = op1(e13,e12),
    inference(cnf_transformation,[],[f4]) ).

fof(f227,plain,
    e15 = op1(e13,e11),
    inference(cnf_transformation,[],[f4]) ).

fof(f226,plain,
    e13 = op1(e13,e10),
    inference(cnf_transformation,[],[f4]) ).

fof(f225,plain,
    e11 = op1(e12,e15),
    inference(cnf_transformation,[],[f4]) ).

fof(f224,plain,
    e15 = op1(e12,e14),
    inference(cnf_transformation,[],[f4]) ).

fof(f223,plain,
    e10 = op1(e12,e13),
    inference(cnf_transformation,[],[f4]) ).

fof(f222,plain,
    e13 = op1(e12,e12),
    inference(cnf_transformation,[],[f4]) ).

fof(f221,plain,
    e14 = op1(e12,e11),
    inference(cnf_transformation,[],[f4]) ).

fof(f220,plain,
    e12 = op1(e12,e10),
    inference(cnf_transformation,[],[f4]) ).

fof(f219,plain,
    e13 = op1(e11,e15),
    inference(cnf_transformation,[],[f4]) ).

fof(f218,plain,
    e12 = op1(e11,e14),
    inference(cnf_transformation,[],[f4]) ).

fof(f217,plain,
    e15 = op1(e11,e13),
    inference(cnf_transformation,[],[f4]) ).

fof(f216,plain,
    e14 = op1(e11,e12),
    inference(cnf_transformation,[],[f4]) ).

fof(f215,plain,
    e10 = op1(e11,e11),
    inference(cnf_transformation,[],[f4]) ).

fof(f214,plain,
    e11 = op1(e11,e10),
    inference(cnf_transformation,[],[f4]) ).

fof(f213,plain,
    e15 = op1(e10,e15),
    inference(cnf_transformation,[],[f4]) ).

fof(f212,plain,
    e14 = op1(e10,e14),
    inference(cnf_transformation,[],[f4]) ).

fof(f211,plain,
    e13 = op1(e10,e13),
    inference(cnf_transformation,[],[f4]) ).

fof(f210,plain,
    e12 = op1(e10,e12),
    inference(cnf_transformation,[],[f4]) ).

fof(f209,plain,
    e11 = op1(e10,e11),
    inference(cnf_transformation,[],[f4]) ).

fof(f208,plain,
    e10 = op1(e10,e10),
    inference(cnf_transformation,[],[f4]) ).

fof(f207,plain,
    e20 = op2(e25,e25),
    inference(cnf_transformation,[],[f5]) ).

fof(f206,plain,
    e22 = op2(e25,e24),
    inference(cnf_transformation,[],[f5]) ).

fof(f205,plain,
    e21 = op2(e25,e23),
    inference(cnf_transformation,[],[f5]) ).

fof(f204,plain,
    e24 = op2(e25,e22),
    inference(cnf_transformation,[],[f5]) ).

fof(f203,plain,
    e23 = op2(e25,e21),
    inference(cnf_transformation,[],[f5]) ).

fof(f202,plain,
    e25 = op2(e25,e20),
    inference(cnf_transformation,[],[f5]) ).

fof(f201,plain,
    e21 = op2(e24,e25),
    inference(cnf_transformation,[],[f5]) ).

fof(f200,plain,
    e23 = op2(e24,e24),
    inference(cnf_transformation,[],[f5]) ).

fof(f199,plain,
    e20 = op2(e24,e23),
    inference(cnf_transformation,[],[f5]) ).

fof(f198,plain,
    e25 = op2(e24,e22),
    inference(cnf_transformation,[],[f5]) ).

fof(f197,plain,
    e22 = op2(e24,e21),
    inference(cnf_transformation,[],[f5]) ).

fof(f196,plain,
    e24 = op2(e24,e20),
    inference(cnf_transformation,[],[f5]) ).

fof(f195,plain,
    e22 = op2(e23,e25),
    inference(cnf_transformation,[],[f5]) ).

fof(f194,plain,
    e20 = op2(e23,e24),
    inference(cnf_transformation,[],[f5]) ).

fof(f193,plain,
    e24 = op2(e23,e23),
    inference(cnf_transformation,[],[f5]) ).

fof(f192,plain,
    e21 = op2(e23,e22),
    inference(cnf_transformation,[],[f5]) ).

fof(f191,plain,
    e25 = op2(e23,e21),
    inference(cnf_transformation,[],[f5]) ).

fof(f190,plain,
    e23 = op2(e23,e20),
    inference(cnf_transformation,[],[f5]) ).

fof(f189,plain,
    e23 = op2(e22,e25),
    inference(cnf_transformation,[],[f5]) ).

fof(f188,plain,
    e21 = op2(e22,e24),
    inference(cnf_transformation,[],[f5]) ).

fof(f187,plain,
    e25 = op2(e22,e23),
    inference(cnf_transformation,[],[f5]) ).

fof(f186,plain,
    e20 = op2(e22,e22),
    inference(cnf_transformation,[],[f5]) ).

fof(f185,plain,
    e24 = op2(e22,e21),
    inference(cnf_transformation,[],[f5]) ).

fof(f184,plain,
    e22 = op2(e22,e20),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    e24 = op2(e21,e25),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    e25 = op2(e21,e24),
    inference(cnf_transformation,[],[f5]) ).

fof(f181,plain,
    e22 = op2(e21,e23),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    e23 = op2(e21,e22),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    e20 = op2(e21,e21),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    e21 = op2(e21,e20),
    inference(cnf_transformation,[],[f5]) ).

fof(f177,plain,
    e25 = op2(e20,e25),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    e24 = op2(e20,e24),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    e23 = op2(e20,e23),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    e22 = op2(e20,e22),
    inference(cnf_transformation,[],[f5]) ).

fof(f173,plain,
    e21 = op2(e20,e21),
    inference(cnf_transformation,[],[f5]) ).

fof(f105,plain,
    e15 = j(h(e15)),
    inference(cnf_transformation,[],[f9]) ).

fof(f104,plain,
    e14 = j(h(e14)),
    inference(cnf_transformation,[],[f9]) ).

fof(f103,plain,
    e13 = j(h(e13)),
    inference(cnf_transformation,[],[f9]) ).

fof(f102,plain,
    e12 = j(h(e12)),
    inference(cnf_transformation,[],[f9]) ).

fof(f101,plain,
    e11 = j(h(e11)),
    inference(cnf_transformation,[],[f9]) ).

fof(f100,plain,
    e10 = j(h(e10)),
    inference(cnf_transformation,[],[f9]) ).

fof(f99,plain,
    e25 = h(j(e25)),
    inference(cnf_transformation,[],[f9]) ).

fof(f98,plain,
    e24 = h(j(e24)),
    inference(cnf_transformation,[],[f9]) ).

fof(f97,plain,
    e23 = h(j(e23)),
    inference(cnf_transformation,[],[f9]) ).

fof(f96,plain,
    e22 = h(j(e22)),
    inference(cnf_transformation,[],[f9]) ).

fof(f95,plain,
    e21 = h(j(e21)),
    inference(cnf_transformation,[],[f9]) ).

fof(f94,plain,
    e20 = h(j(e20)),
    inference(cnf_transformation,[],[f9]) ).

fof(f171,plain,
    e15 != e25,
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ( e15 != e25
    & e15 != e24
    & e15 != e23
    & e15 != e22
    & e15 != e21
    & e15 != e20
    & e14 != e25
    & e14 != e24
    & e14 != e23
    & e14 != e22
    & e14 != e21
    & e14 != e20
    & e13 != e25
    & e13 != e24
    & e13 != e23
    & e13 != e22
    & e13 != e21
    & e13 != e20
    & e12 != e25
    & e12 != e24
    & e12 != e23
    & e12 != e22
    & e12 != e21
    & e12 != e20
    & e11 != e25
    & e11 != e24
    & e11 != e23
    & e11 != e22
    & e11 != e21
    & e11 != e20
    & e10 != e25
    & e10 != e24
    & e10 != e23
    & e10 != e22
    & e10 != e21
    & e10 != e20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).

fof(f170,plain,
    e15 != e24,
    inference(cnf_transformation,[],[f3]) ).

fof(f169,plain,
    e15 != e23,
    inference(cnf_transformation,[],[f3]) ).

fof(f168,plain,
    e15 != e22,
    inference(cnf_transformation,[],[f3]) ).

fof(f167,plain,
    e15 != e21,
    inference(cnf_transformation,[],[f3]) ).

fof(f166,plain,
    e15 != e20,
    inference(cnf_transformation,[],[f3]) ).

fof(f165,plain,
    e14 != e25,
    inference(cnf_transformation,[],[f3]) ).

fof(f164,plain,
    e14 != e24,
    inference(cnf_transformation,[],[f3]) ).

fof(f163,plain,
    e14 != e23,
    inference(cnf_transformation,[],[f3]) ).

fof(f162,plain,
    e14 != e22,
    inference(cnf_transformation,[],[f3]) ).

fof(f161,plain,
    e14 != e21,
    inference(cnf_transformation,[],[f3]) ).

fof(f160,plain,
    e14 != e20,
    inference(cnf_transformation,[],[f3]) ).

fof(f159,plain,
    e13 != e25,
    inference(cnf_transformation,[],[f3]) ).

fof(f158,plain,
    e13 != e24,
    inference(cnf_transformation,[],[f3]) ).

fof(f157,plain,
    e13 != e23,
    inference(cnf_transformation,[],[f3]) ).

fof(f156,plain,
    e13 != e22,
    inference(cnf_transformation,[],[f3]) ).

fof(f155,plain,
    e13 != e21,
    inference(cnf_transformation,[],[f3]) ).

fof(f154,plain,
    e13 != e20,
    inference(cnf_transformation,[],[f3]) ).

fof(f153,plain,
    e12 != e25,
    inference(cnf_transformation,[],[f3]) ).

fof(f152,plain,
    e12 != e24,
    inference(cnf_transformation,[],[f3]) ).

fof(f151,plain,
    e12 != e23,
    inference(cnf_transformation,[],[f3]) ).

fof(f150,plain,
    e12 != e22,
    inference(cnf_transformation,[],[f3]) ).

fof(f149,plain,
    e12 != e21,
    inference(cnf_transformation,[],[f3]) ).

fof(f148,plain,
    e12 != e20,
    inference(cnf_transformation,[],[f3]) ).

fof(f147,plain,
    e11 != e25,
    inference(cnf_transformation,[],[f3]) ).

fof(f146,plain,
    e11 != e24,
    inference(cnf_transformation,[],[f3]) ).

fof(f145,plain,
    e11 != e23,
    inference(cnf_transformation,[],[f3]) ).

fof(f144,plain,
    e11 != e22,
    inference(cnf_transformation,[],[f3]) ).

fof(f143,plain,
    e11 != e21,
    inference(cnf_transformation,[],[f3]) ).

fof(f142,plain,
    e11 != e20,
    inference(cnf_transformation,[],[f3]) ).

fof(f141,plain,
    e10 != e25,
    inference(cnf_transformation,[],[f3]) ).

fof(f140,plain,
    e10 != e24,
    inference(cnf_transformation,[],[f3]) ).

fof(f139,plain,
    e10 != e23,
    inference(cnf_transformation,[],[f3]) ).

fof(f138,plain,
    e10 != e22,
    inference(cnf_transformation,[],[f3]) ).

fof(f137,plain,
    e10 != e21,
    inference(cnf_transformation,[],[f3]) ).

fof(f136,plain,
    e10 != e20,
    inference(cnf_transformation,[],[f3]) ).

fof(f135,plain,
    e24 != e25,
    inference(cnf_transformation,[],[f2]) ).

fof(f134,plain,
    e23 != e25,
    inference(cnf_transformation,[],[f2]) ).

fof(f133,plain,
    e23 != e24,
    inference(cnf_transformation,[],[f2]) ).

fof(f132,plain,
    e22 != e25,
    inference(cnf_transformation,[],[f2]) ).

fof(f131,plain,
    e22 != e24,
    inference(cnf_transformation,[],[f2]) ).

fof(f130,plain,
    e22 != e23,
    inference(cnf_transformation,[],[f2]) ).

fof(f129,plain,
    e21 != e25,
    inference(cnf_transformation,[],[f2]) ).

fof(f128,plain,
    e21 != e24,
    inference(cnf_transformation,[],[f2]) ).

fof(f127,plain,
    e21 != e23,
    inference(cnf_transformation,[],[f2]) ).

fof(f126,plain,
    e21 != e22,
    inference(cnf_transformation,[],[f2]) ).

fof(f124,plain,
    e20 != e24,
    inference(cnf_transformation,[],[f2]) ).

fof(f123,plain,
    e20 != e23,
    inference(cnf_transformation,[],[f2]) ).

fof(f122,plain,
    e20 != e22,
    inference(cnf_transformation,[],[f2]) ).

fof(f121,plain,
    e20 != e21,
    inference(cnf_transformation,[],[f2]) ).

fof(f120,plain,
    e14 != e15,
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ( e14 != e15
    & e13 != e15
    & e13 != e14
    & e12 != e15
    & e12 != e14
    & e12 != e13
    & e11 != e15
    & e11 != e14
    & e11 != e13
    & e11 != e12
    & e10 != e15
    & e10 != e14
    & e10 != e13
    & e10 != e12
    & e10 != e11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).

fof(f119,plain,
    e13 != e15,
    inference(cnf_transformation,[],[f1]) ).

fof(f118,plain,
    e13 != e14,
    inference(cnf_transformation,[],[f1]) ).

fof(f117,plain,
    e12 != e15,
    inference(cnf_transformation,[],[f1]) ).

fof(f116,plain,
    e12 != e14,
    inference(cnf_transformation,[],[f1]) ).

fof(f115,plain,
    e12 != e13,
    inference(cnf_transformation,[],[f1]) ).

fof(f114,plain,
    e11 != e15,
    inference(cnf_transformation,[],[f1]) ).

fof(f113,plain,
    e11 != e14,
    inference(cnf_transformation,[],[f1]) ).

fof(f112,plain,
    e11 != e13,
    inference(cnf_transformation,[],[f1]) ).

fof(f111,plain,
    e11 != e12,
    inference(cnf_transformation,[],[f1]) ).

fof(f110,plain,
    e10 != e15,
    inference(cnf_transformation,[],[f1]) ).

fof(f109,plain,
    e10 != e14,
    inference(cnf_transformation,[],[f1]) ).

fof(f108,plain,
    e10 != e13,
    inference(cnf_transformation,[],[f1]) ).

fof(f107,plain,
    e10 != e12,
    inference(cnf_transformation,[],[f1]) ).

fof(f106,plain,
    e10 != e11,
    inference(cnf_transformation,[],[f1]) ).

fof(f15,plain,
    ( e25 = h(e15)
    | e24 = h(e15)
    | e23 = h(e15)
    | e22 = h(e15)
    | e21 = h(e15)
    | e20 = h(e15) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f16,plain,
    ( e15 = j(e20)
    | e14 = j(e20)
    | e13 = j(e20)
    | e12 = j(e20)
    | e11 = j(e20)
    | e10 = j(e20) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f17,plain,
    ( e15 = j(e21)
    | e14 = j(e21)
    | e13 = j(e21)
    | e12 = j(e21)
    | e11 = j(e21)
    | e10 = j(e21) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f18,plain,
    ( e15 = j(e22)
    | e14 = j(e22)
    | e13 = j(e22)
    | e12 = j(e22)
    | e11 = j(e22)
    | e10 = j(e22) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f19,plain,
    ( e15 = j(e23)
    | e14 = j(e23)
    | e13 = j(e23)
    | e12 = j(e23)
    | e11 = j(e23)
    | e10 = j(e23) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f20,plain,
    ( e15 = j(e24)
    | e14 = j(e24)
    | e13 = j(e24)
    | e12 = j(e24)
    | e11 = j(e24)
    | e10 = j(e24) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f21,plain,
    ( e15 = j(e25)
    | e14 = j(e25)
    | e13 = j(e25)
    | e12 = j(e25)
    | e11 = j(e25)
    | e10 = j(e25) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f22,plain,
    h(op1(e10,e10)) = op2(h(e10),h(e10)),
    inference(cnf_transformation,[],[f9]) ).

fof(f23,plain,
    h(op1(e10,e11)) = op2(h(e10),h(e11)),
    inference(cnf_transformation,[],[f9]) ).

fof(f24,plain,
    h(op1(e10,e12)) = op2(h(e10),h(e12)),
    inference(cnf_transformation,[],[f9]) ).

fof(f25,plain,
    h(op1(e10,e13)) = op2(h(e10),h(e13)),
    inference(cnf_transformation,[],[f9]) ).

fof(f26,plain,
    h(op1(e10,e14)) = op2(h(e10),h(e14)),
    inference(cnf_transformation,[],[f9]) ).

fof(f27,plain,
    h(op1(e10,e15)) = op2(h(e10),h(e15)),
    inference(cnf_transformation,[],[f9]) ).

fof(f28,plain,
    h(op1(e11,e10)) = op2(h(e11),h(e10)),
    inference(cnf_transformation,[],[f9]) ).

fof(f29,plain,
    h(op1(e11,e11)) = op2(h(e11),h(e11)),
    inference(cnf_transformation,[],[f9]) ).

fof(f30,plain,
    h(op1(e11,e12)) = op2(h(e11),h(e12)),
    inference(cnf_transformation,[],[f9]) ).

fof(f31,plain,
    h(op1(e11,e13)) = op2(h(e11),h(e13)),
    inference(cnf_transformation,[],[f9]) ).

fof(f32,plain,
    h(op1(e11,e14)) = op2(h(e11),h(e14)),
    inference(cnf_transformation,[],[f9]) ).

fof(f33,plain,
    h(op1(e11,e15)) = op2(h(e11),h(e15)),
    inference(cnf_transformation,[],[f9]) ).

fof(f34,plain,
    h(op1(e12,e10)) = op2(h(e12),h(e10)),
    inference(cnf_transformation,[],[f9]) ).

fof(f35,plain,
    h(op1(e12,e11)) = op2(h(e12),h(e11)),
    inference(cnf_transformation,[],[f9]) ).

fof(f36,plain,
    h(op1(e12,e12)) = op2(h(e12),h(e12)),
    inference(cnf_transformation,[],[f9]) ).

fof(f37,plain,
    h(op1(e12,e13)) = op2(h(e12),h(e13)),
    inference(cnf_transformation,[],[f9]) ).

fof(f38,plain,
    h(op1(e12,e14)) = op2(h(e12),h(e14)),
    inference(cnf_transformation,[],[f9]) ).

fof(f39,plain,
    h(op1(e12,e15)) = op2(h(e12),h(e15)),
    inference(cnf_transformation,[],[f9]) ).

fof(f40,plain,
    h(op1(e13,e10)) = op2(h(e13),h(e10)),
    inference(cnf_transformation,[],[f9]) ).

fof(f41,plain,
    h(op1(e13,e11)) = op2(h(e13),h(e11)),
    inference(cnf_transformation,[],[f9]) ).

fof(f42,plain,
    h(op1(e13,e12)) = op2(h(e13),h(e12)),
    inference(cnf_transformation,[],[f9]) ).

fof(f43,plain,
    h(op1(e13,e13)) = op2(h(e13),h(e13)),
    inference(cnf_transformation,[],[f9]) ).

fof(f44,plain,
    h(op1(e13,e14)) = op2(h(e13),h(e14)),
    inference(cnf_transformation,[],[f9]) ).

fof(f45,plain,
    h(op1(e13,e15)) = op2(h(e13),h(e15)),
    inference(cnf_transformation,[],[f9]) ).

fof(f46,plain,
    h(op1(e14,e10)) = op2(h(e14),h(e10)),
    inference(cnf_transformation,[],[f9]) ).

fof(f47,plain,
    h(op1(e14,e11)) = op2(h(e14),h(e11)),
    inference(cnf_transformation,[],[f9]) ).

fof(f48,plain,
    h(op1(e14,e12)) = op2(h(e14),h(e12)),
    inference(cnf_transformation,[],[f9]) ).

fof(f49,plain,
    h(op1(e14,e13)) = op2(h(e14),h(e13)),
    inference(cnf_transformation,[],[f9]) ).

fof(f50,plain,
    h(op1(e14,e14)) = op2(h(e14),h(e14)),
    inference(cnf_transformation,[],[f9]) ).

fof(f51,plain,
    h(op1(e14,e15)) = op2(h(e14),h(e15)),
    inference(cnf_transformation,[],[f9]) ).

fof(f52,plain,
    h(op1(e15,e10)) = op2(h(e15),h(e10)),
    inference(cnf_transformation,[],[f9]) ).

fof(f53,plain,
    h(op1(e15,e11)) = op2(h(e15),h(e11)),
    inference(cnf_transformation,[],[f9]) ).

fof(f54,plain,
    h(op1(e15,e12)) = op2(h(e15),h(e12)),
    inference(cnf_transformation,[],[f9]) ).

fof(f55,plain,
    h(op1(e15,e13)) = op2(h(e15),h(e13)),
    inference(cnf_transformation,[],[f9]) ).

fof(f56,plain,
    h(op1(e15,e14)) = op2(h(e15),h(e14)),
    inference(cnf_transformation,[],[f9]) ).

fof(f57,plain,
    h(op1(e15,e15)) = op2(h(e15),h(e15)),
    inference(cnf_transformation,[],[f9]) ).

fof(f58,plain,
    j(op2(e20,e20)) = op1(j(e20),j(e20)),
    inference(cnf_transformation,[],[f9]) ).

fof(f59,plain,
    j(op2(e20,e21)) = op1(j(e20),j(e21)),
    inference(cnf_transformation,[],[f9]) ).

fof(f60,plain,
    j(op2(e20,e22)) = op1(j(e20),j(e22)),
    inference(cnf_transformation,[],[f9]) ).

fof(f61,plain,
    j(op2(e20,e23)) = op1(j(e20),j(e23)),
    inference(cnf_transformation,[],[f9]) ).

fof(f62,plain,
    j(op2(e20,e24)) = op1(j(e20),j(e24)),
    inference(cnf_transformation,[],[f9]) ).

fof(f63,plain,
    j(op2(e20,e25)) = op1(j(e20),j(e25)),
    inference(cnf_transformation,[],[f9]) ).

fof(f64,plain,
    j(op2(e21,e20)) = op1(j(e21),j(e20)),
    inference(cnf_transformation,[],[f9]) ).

fof(f65,plain,
    j(op2(e21,e21)) = op1(j(e21),j(e21)),
    inference(cnf_transformation,[],[f9]) ).

fof(f66,plain,
    j(op2(e21,e22)) = op1(j(e21),j(e22)),
    inference(cnf_transformation,[],[f9]) ).

fof(f67,plain,
    j(op2(e21,e23)) = op1(j(e21),j(e23)),
    inference(cnf_transformation,[],[f9]) ).

fof(f68,plain,
    j(op2(e21,e24)) = op1(j(e21),j(e24)),
    inference(cnf_transformation,[],[f9]) ).

fof(f69,plain,
    j(op2(e21,e25)) = op1(j(e21),j(e25)),
    inference(cnf_transformation,[],[f9]) ).

fof(f70,plain,
    j(op2(e22,e20)) = op1(j(e22),j(e20)),
    inference(cnf_transformation,[],[f9]) ).

fof(f71,plain,
    j(op2(e22,e21)) = op1(j(e22),j(e21)),
    inference(cnf_transformation,[],[f9]) ).

fof(f72,plain,
    j(op2(e22,e22)) = op1(j(e22),j(e22)),
    inference(cnf_transformation,[],[f9]) ).

fof(f73,plain,
    j(op2(e22,e23)) = op1(j(e22),j(e23)),
    inference(cnf_transformation,[],[f9]) ).

fof(f74,plain,
    j(op2(e22,e24)) = op1(j(e22),j(e24)),
    inference(cnf_transformation,[],[f9]) ).

fof(f75,plain,
    j(op2(e22,e25)) = op1(j(e22),j(e25)),
    inference(cnf_transformation,[],[f9]) ).

fof(f76,plain,
    j(op2(e23,e20)) = op1(j(e23),j(e20)),
    inference(cnf_transformation,[],[f9]) ).

fof(f77,plain,
    j(op2(e23,e21)) = op1(j(e23),j(e21)),
    inference(cnf_transformation,[],[f9]) ).

fof(f78,plain,
    j(op2(e23,e22)) = op1(j(e23),j(e22)),
    inference(cnf_transformation,[],[f9]) ).

fof(f79,plain,
    j(op2(e23,e23)) = op1(j(e23),j(e23)),
    inference(cnf_transformation,[],[f9]) ).

fof(f80,plain,
    j(op2(e23,e24)) = op1(j(e23),j(e24)),
    inference(cnf_transformation,[],[f9]) ).

fof(f81,plain,
    j(op2(e23,e25)) = op1(j(e23),j(e25)),
    inference(cnf_transformation,[],[f9]) ).

fof(f82,plain,
    j(op2(e24,e20)) = op1(j(e24),j(e20)),
    inference(cnf_transformation,[],[f9]) ).

fof(f83,plain,
    j(op2(e24,e21)) = op1(j(e24),j(e21)),
    inference(cnf_transformation,[],[f9]) ).

fof(f84,plain,
    j(op2(e24,e22)) = op1(j(e24),j(e22)),
    inference(cnf_transformation,[],[f9]) ).

fof(f85,plain,
    j(op2(e24,e23)) = op1(j(e24),j(e23)),
    inference(cnf_transformation,[],[f9]) ).

fof(f86,plain,
    j(op2(e24,e24)) = op1(j(e24),j(e24)),
    inference(cnf_transformation,[],[f9]) ).

fof(f87,plain,
    j(op2(e24,e25)) = op1(j(e24),j(e25)),
    inference(cnf_transformation,[],[f9]) ).

fof(f88,plain,
    j(op2(e25,e20)) = op1(j(e25),j(e20)),
    inference(cnf_transformation,[],[f9]) ).

fof(f89,plain,
    j(op2(e25,e21)) = op1(j(e25),j(e21)),
    inference(cnf_transformation,[],[f9]) ).

fof(f90,plain,
    j(op2(e25,e22)) = op1(j(e25),j(e22)),
    inference(cnf_transformation,[],[f9]) ).

fof(f91,plain,
    j(op2(e25,e23)) = op1(j(e25),j(e23)),
    inference(cnf_transformation,[],[f9]) ).

fof(f92,plain,
    j(op2(e25,e24)) = op1(j(e25),j(e24)),
    inference(cnf_transformation,[],[f9]) ).

fof(f93,plain,
    j(op2(e25,e25)) = op1(j(e25),j(e25)),
    inference(cnf_transformation,[],[f9]) ).

fof(f265,plain,
    h(e12) = op2(h(e13),h(e13)),
    inference(forward_demodulation,[],[f43,f229]) ).

fof(f2059,plain,
    ( ~ spl0_1
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f2058]) ).

fof(f2058,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_18 ),
    inference(subsumption_resolution,[],[f2057,f108]) ).

fof(f2057,plain,
    ( e10 = e13
    | ~ spl0_1
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f2044,f463]) ).

fof(f463,plain,
    ( e10 = j(e20)
    | ~ spl0_1 ),
    inference(superposition,[],[f100,f319]) ).

fof(f319,plain,
    ( e20 = h(e10)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f317]) ).

fof(f317,plain,
    ( spl0_1
  <=> e20 = h(e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f2044,plain,
    ( e13 = j(e20)
    | ~ spl0_18 ),
    inference(superposition,[],[f103,f1794]) ).

fof(f2010,plain,
    ( ~ spl0_10
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2009]) ).

fof(f2009,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f1996,f111]) ).

fof(f1996,plain,
    ( e11 = e12
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(superposition,[],[f854,f1418]) ).

fof(f1418,plain,
    ( e11 = j(e23)
    | ~ spl0_10 ),
    inference(superposition,[],[f101,f507]) ).

fof(f507,plain,
    ( e23 = h(e11)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f505]) ).

fof(f505,plain,
    ( spl0_10
  <=> e23 = h(e11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f854,plain,
    ( e12 = j(e23)
    | ~ spl0_16 ),
    inference(superposition,[],[f102,f568]) ).

fof(f568,plain,
    ( e23 = h(e12)
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f566]) ).

fof(f566,plain,
    ( spl0_16
  <=> e23 = h(e12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f2004,plain,
    ( ~ spl0_10
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f2003]) ).

fof(f2003,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f2002,f108]) ).

fof(f2002,plain,
    ( e10 = e13
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f2001,f215]) ).

fof(f2001,plain,
    ( e13 = op1(e11,e11)
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1991,f907]) ).

fof(f907,plain,
    ( e13 = j(e24)
    | ~ spl0_16 ),
    inference(superposition,[],[f103,f906]) ).

fof(f906,plain,
    ( e24 = h(e13)
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f93,f92,f91,f90,f89,f88,f87,f86,f85,f84,f83,f82,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f106,f107,f108,f109,f110,f111,f112,f113,f114,f115,f116,f117,f118,f119,f120,f121,f122,f123,f124,f125,f126,f127,f128,f129,f130,f131,f132,f133,f134,f135,f136,f137,f138,f139,f140,f141,f142,f143,f144,f145,f146,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f158,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f94,f95,f96,f97,f98,f99,f100,f101,f102,f103,f104,f105,f172,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f186,f187,f188,f189,f190,f191,f192,f193,f194,f195,f196,f197,f198,f199,f200,f201,f202,f203,f204,f205,f206,f207,f208,f209,f210,f211,f212,f213,f214,f215,f216,f217,f218,f219,f220,f221,f222,f223,f224,f225,f226,f227,f228,f229,f230,f231,f232,f233,f234,f235,f236,f237,f238,f239,f240,f241,f242,f243,f244,f245,f246,f247,f248,f249,f250,f251,f252,f253,f254,f255,f256,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f272,f273,f274,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f285,f286,f287,f288,f289,f290,f291,f292,f293,f294,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f315,f10,f11,f12,f568,f876,f861,f864,f854,f886,f902,f892,f13]) ).

fof(f892,plain,
    ( j(e22) = op1(e12,j(e25))
    | ~ spl0_16 ),
    inference(superposition,[],[f303,f854]) ).

fof(f902,plain,
    ( e13 = j(e24)
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f890,f222]) ).

fof(f890,plain,
    ( op1(e12,e12) = j(e24)
    | ~ spl0_16 ),
    inference(superposition,[],[f301,f854]) ).

fof(f886,plain,
    ( j(e25) = op1(j(e22),e12)
    | ~ spl0_16 ),
    inference(superposition,[],[f295,f854]) ).

fof(f864,plain,
    ( h(e15) = op2(h(e14),e23)
    | ~ spl0_16 ),
    inference(superposition,[],[f270,f568]) ).

fof(f861,plain,
    ( h(e15) = op2(e23,h(e14))
    | ~ spl0_16 ),
    inference(superposition,[],[f260,f568]) ).

fof(f876,plain,
    ( e24 = h(e13)
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f859,f193]) ).

fof(f859,plain,
    ( op2(e23,e23) = h(e13)
    | ~ spl0_16 ),
    inference(superposition,[],[f258,f568]) ).

fof(f1991,plain,
    ( op1(e11,e11) = j(e24)
    | ~ spl0_10 ),
    inference(superposition,[],[f301,f1418]) ).

fof(f1998,plain,
    ( ~ spl0_10
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1997]) ).

fof(f1997,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f1983,f111]) ).

fof(f1983,plain,
    ( e11 = e12
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(superposition,[],[f1418,f854]) ).

fof(f1928,plain,
    ( ~ spl0_11
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1927]) ).

fof(f1927,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f1926,f124]) ).

fof(f1926,plain,
    ( e20 = e24
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1925,f172]) ).

fof(f1925,plain,
    ( e24 = op2(e20,e20)
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1902,f906]) ).

fof(f1902,plain,
    ( op2(e20,e20) = h(e13)
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(superposition,[],[f272,f1892]) ).

fof(f1892,plain,
    ( e20 = h(e14)
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f93,f92,f91,f90,f89,f88,f87,f86,f85,f84,f83,f82,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f106,f107,f108,f109,f110,f111,f112,f113,f114,f115,f116,f117,f118,f119,f120,f121,f122,f123,f124,f125,f126,f127,f128,f129,f130,f131,f132,f133,f134,f135,f136,f137,f138,f139,f140,f141,f142,f143,f144,f145,f146,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f158,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f94,f95,f96,f97,f98,f99,f100,f101,f102,f103,f104,f105,f172,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f186,f187,f188,f189,f190,f191,f192,f193,f194,f195,f196,f197,f198,f199,f200,f201,f202,f203,f204,f205,f206,f207,f208,f209,f210,f211,f212,f213,f214,f215,f216,f217,f218,f219,f220,f221,f222,f223,f224,f225,f226,f227,f228,f229,f230,f231,f232,f233,f234,f235,f236,f237,f238,f239,f240,f241,f242,f243,f244,f245,f246,f247,f248,f249,f250,f251,f252,f253,f254,f255,f256,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f272,f273,f274,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f285,f286,f287,f288,f289,f290,f291,f292,f293,f294,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f315,f10,f11,f12,f876,f861,f864,f886,f892,f916,f918,f917,f915,f912,f909,f894,f889,f888,f885,f865,f862,f858,f856,f1022,f1030,f1599,f1600,f1603,f1604,f1607,f1608,f1640,f1647,f1650,f1678,f1680,f1697,f1698,f1700,f1701,f1704,f1706,f1714,f1715,f1718,f1719,f1722,f1723,f13,f1798,f1669,f1709,f1662,f902,f907,f1616,f1563,f511,f1799,f1803,f1804,f1805,f1806,f1807,f1808,f1809,f1810,f568,f1820,f1838,f1841,f1842,f1827,f1844,f1830,f1846,f906,f1849,f1864,f1869,f1873,f1858,f1874,f1860,f854,f1877,f1878,f1880,f1881,f1889,f1884,f1886,f14]) ).

fof(f1886,plain,
    ( j(e21) = op1(j(e25),e12)
    | ~ spl0_16 ),
    inference(superposition,[],[f313,f854]) ).

fof(f1884,plain,
    ( j(e22) = op1(e12,j(e25))
    | ~ spl0_16 ),
    inference(superposition,[],[f303,f854]) ).

fof(f1889,plain,
    ( e13 = j(e24)
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1882,f222]) ).

fof(f1882,plain,
    ( op1(e12,e12) = j(e24)
    | ~ spl0_16 ),
    inference(superposition,[],[f301,f854]) ).

fof(f1881,plain,
    ( j(e21) = op1(e12,j(e22))
    | ~ spl0_16 ),
    inference(superposition,[],[f300,f854]) ).

fof(f1880,plain,
    ( j(e25) = op1(e12,j(e21))
    | ~ spl0_16 ),
    inference(superposition,[],[f299,f854]) ).

fof(f1878,plain,
    ( j(e25) = op1(j(e22),e12)
    | ~ spl0_16 ),
    inference(superposition,[],[f295,f854]) ).

fof(f1877,plain,
    ( j(e22) = op1(j(e21),e12)
    | ~ spl0_16 ),
    inference(superposition,[],[f289,f854]) ).

fof(f1860,plain,
    ( h(e14) = op2(h(e15),e24)
    | ~ spl0_16 ),
    inference(superposition,[],[f277,f906]) ).

fof(f1874,plain,
    ( e24 = op2(h(e14),e24)
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1859,f511]) ).

fof(f1859,plain,
    ( h(e11) = op2(h(e14),e24)
    | ~ spl0_16 ),
    inference(superposition,[],[f271,f906]) ).

fof(f1858,plain,
    ( h(e14) = op2(e24,h(e15))
    | ~ spl0_16 ),
    inference(superposition,[],[f267,f906]) ).

fof(f1873,plain,
    ( e24 = op2(e24,h(e14))
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1857,f511]) ).

fof(f1857,plain,
    ( h(e11) = op2(e24,h(e14))
    | ~ spl0_16 ),
    inference(superposition,[],[f266,f906]) ).

fof(f1869,plain,
    ( e23 = h(e15)
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1868,f200]) ).

fof(f1868,plain,
    ( op2(e24,e24) = h(e15)
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1854,f511]) ).

fof(f1854,plain,
    ( h(e15) = op2(e24,h(e11))
    | ~ spl0_16 ),
    inference(superposition,[],[f263,f906]) ).

fof(f1864,plain,
    ( e23 = h(e15)
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1863,f200]) ).

fof(f1863,plain,
    ( op2(e24,e24) = h(e15)
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1851,f511]) ).

fof(f1851,plain,
    ( h(e15) = op2(h(e11),e24)
    | ~ spl0_16 ),
    inference(superposition,[],[f253,f906]) ).

fof(f1849,plain,
    ( e13 = j(e24)
    | ~ spl0_16 ),
    inference(superposition,[],[f103,f906]) ).

fof(f1846,plain,
    ( e24 = op2(h(e15),e23)
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1831,f511]) ).

fof(f1831,plain,
    ( h(e11) = op2(h(e15),e23)
    | ~ spl0_16 ),
    inference(superposition,[],[f276,f568]) ).

fof(f1830,plain,
    ( h(e15) = op2(h(e14),e23)
    | ~ spl0_16 ),
    inference(superposition,[],[f270,f568]) ).

fof(f1844,plain,
    ( e24 = op2(e23,h(e15))
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1828,f511]) ).

fof(f1828,plain,
    ( h(e11) = op2(e23,h(e15))
    | ~ spl0_16 ),
    inference(superposition,[],[f261,f568]) ).

fof(f1827,plain,
    ( h(e15) = op2(e23,h(e14))
    | ~ spl0_16 ),
    inference(superposition,[],[f260,f568]) ).

fof(f1842,plain,
    ( e24 = h(e13)
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1825,f193]) ).

fof(f1825,plain,
    ( op2(e23,e23) = h(e13)
    | ~ spl0_16 ),
    inference(superposition,[],[f258,f568]) ).

fof(f1841,plain,
    ( e20 = h(e14)
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1840,f194]) ).

fof(f1840,plain,
    ( op2(e23,e24) = h(e14)
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1824,f511]) ).

fof(f1824,plain,
    ( h(e14) = op2(e23,h(e11))
    | ~ spl0_16 ),
    inference(superposition,[],[f257,f568]) ).

fof(f1838,plain,
    ( e20 = h(e14)
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1837,f199]) ).

fof(f1837,plain,
    ( op2(e24,e23) = h(e14)
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1822,f511]) ).

fof(f1822,plain,
    ( h(e14) = op2(h(e11),e23)
    | ~ spl0_16 ),
    inference(superposition,[],[f252,f568]) ).

fof(f1820,plain,
    ( e12 = j(e23)
    | ~ spl0_16 ),
    inference(superposition,[],[f102,f568]) ).

fof(f1810,plain,
    ( h(e13) = op2(h(e15),e24)
    | ~ spl0_11 ),
    inference(superposition,[],[f275,f511]) ).

fof(f1809,plain,
    ( h(e12) = op2(h(e14),e24)
    | ~ spl0_11 ),
    inference(superposition,[],[f269,f511]) ).

fof(f1808,plain,
    ( h(e15) = op2(h(e13),e24)
    | ~ spl0_11 ),
    inference(superposition,[],[f263,f511]) ).

fof(f1807,plain,
    ( h(e14) = op2(h(e12),e24)
    | ~ spl0_11 ),
    inference(superposition,[],[f257,f511]) ).

fof(f1806,plain,
    ( h(e13) = op2(e24,h(e15))
    | ~ spl0_11 ),
    inference(superposition,[],[f255,f511]) ).

fof(f1805,plain,
    ( h(e12) = op2(e24,h(e14))
    | ~ spl0_11 ),
    inference(superposition,[],[f254,f511]) ).

fof(f1804,plain,
    ( h(e15) = op2(e24,h(e13))
    | ~ spl0_11 ),
    inference(superposition,[],[f253,f511]) ).

fof(f1803,plain,
    ( h(e14) = op2(e24,h(e12))
    | ~ spl0_11 ),
    inference(superposition,[],[f252,f511]) ).

fof(f1799,plain,
    ( e11 = j(e24)
    | ~ spl0_11 ),
    inference(superposition,[],[f101,f511]) ).

fof(f511,plain,
    ( e24 = h(e11)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f509]) ).

fof(f509,plain,
    ( spl0_11
  <=> e24 = h(e11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f1563,plain,
    ( e11 = j(e24)
    | ~ spl0_11 ),
    inference(superposition,[],[f101,f511]) ).

fof(f1616,plain,
    ( e10 = j(e23)
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1606,f215]) ).

fof(f1606,plain,
    ( op1(e11,e11) = j(e23)
    | ~ spl0_11 ),
    inference(superposition,[],[f308,f1563]) ).

fof(f1662,plain,
    ( e24 = h(e13)
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1645,f193]) ).

fof(f1645,plain,
    ( op2(e23,e23) = h(e13)
    | ~ spl0_16 ),
    inference(superposition,[],[f258,f568]) ).

fof(f1709,plain,
    ( e13 = j(e24)
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1702,f222]) ).

fof(f1702,plain,
    ( op1(e12,e12) = j(e24)
    | ~ spl0_16 ),
    inference(superposition,[],[f301,f854]) ).

fof(f1669,plain,
    ( e13 = j(e24)
    | ~ spl0_16 ),
    inference(superposition,[],[f103,f906]) ).

fof(f1798,plain,
    ( e24 = h(e13)
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f93,f92,f91,f90,f89,f88,f87,f86,f85,f84,f83,f82,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f106,f107,f108,f109,f110,f111,f112,f113,f114,f115,f116,f117,f118,f119,f120,f121,f122,f123,f124,f125,f126,f127,f128,f129,f130,f131,f132,f133,f134,f135,f136,f137,f138,f139,f140,f141,f142,f143,f144,f145,f146,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f158,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f94,f95,f96,f97,f98,f99,f100,f101,f102,f103,f104,f105,f172,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f186,f187,f188,f189,f190,f191,f192,f193,f194,f195,f196,f197,f198,f199,f200,f201,f202,f203,f204,f205,f206,f207,f208,f209,f210,f211,f212,f213,f214,f215,f216,f217,f218,f219,f220,f221,f222,f223,f224,f225,f226,f227,f228,f229,f230,f231,f232,f233,f234,f235,f236,f237,f238,f239,f240,f241,f242,f243,f244,f245,f246,f247,f248,f249,f250,f251,f252,f253,f254,f255,f256,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f272,f273,f274,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f285,f286,f287,f288,f289,f290,f291,f292,f293,f294,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f315,f10,f11,f12,f876,f861,f864,f886,f892,f916,f918,f917,f915,f912,f909,f894,f889,f888,f885,f865,f862,f858,f856,f1022,f1030,f14,f902,f568,f1640,f1662,f1647,f1650,f906,f1669,f1678,f1680,f854,f1697,f1698,f1700,f1701,f1709,f1704,f1706,f907,f1714,f1715,f1718,f1719,f1722,f1723,f13]) ).

fof(f1723,plain,
    ( j(e22) = op1(j(e25),e13)
    | ~ spl0_16 ),
    inference(superposition,[],[f314,f907]) ).

fof(f1722,plain,
    ( j(e21) = op1(e13,j(e25))
    | ~ spl0_16 ),
    inference(superposition,[],[f309,f907]) ).

fof(f1719,plain,
    ( j(e25) = op1(e13,j(e22))
    | ~ spl0_16 ),
    inference(superposition,[],[f306,f907]) ).

fof(f1718,plain,
    ( j(e22) = op1(e13,j(e21))
    | ~ spl0_16 ),
    inference(superposition,[],[f305,f907]) ).

fof(f1715,plain,
    ( j(e21) = op1(j(e22),e13)
    | ~ spl0_16 ),
    inference(superposition,[],[f296,f907]) ).

fof(f1714,plain,
    ( j(e25) = op1(j(e21),e13)
    | ~ spl0_16 ),
    inference(superposition,[],[f290,f907]) ).

fof(f1706,plain,
    ( j(e21) = op1(j(e25),e12)
    | ~ spl0_16 ),
    inference(superposition,[],[f313,f854]) ).

fof(f1704,plain,
    ( j(e22) = op1(e12,j(e25))
    | ~ spl0_16 ),
    inference(superposition,[],[f303,f854]) ).

fof(f1701,plain,
    ( j(e21) = op1(e12,j(e22))
    | ~ spl0_16 ),
    inference(superposition,[],[f300,f854]) ).

fof(f1700,plain,
    ( j(e25) = op1(e12,j(e21))
    | ~ spl0_16 ),
    inference(superposition,[],[f299,f854]) ).

fof(f1698,plain,
    ( j(e25) = op1(j(e22),e12)
    | ~ spl0_16 ),
    inference(superposition,[],[f295,f854]) ).

fof(f1697,plain,
    ( j(e22) = op1(j(e21),e12)
    | ~ spl0_16 ),
    inference(superposition,[],[f289,f854]) ).

fof(f1680,plain,
    ( h(e14) = op2(h(e15),e24)
    | ~ spl0_16 ),
    inference(superposition,[],[f277,f906]) ).

fof(f1678,plain,
    ( h(e14) = op2(e24,h(e15))
    | ~ spl0_16 ),
    inference(superposition,[],[f267,f906]) ).

fof(f1650,plain,
    ( h(e15) = op2(h(e14),e23)
    | ~ spl0_16 ),
    inference(superposition,[],[f270,f568]) ).

fof(f1647,plain,
    ( h(e15) = op2(e23,h(e14))
    | ~ spl0_16 ),
    inference(superposition,[],[f260,f568]) ).

fof(f1640,plain,
    ( e12 = j(e23)
    | ~ spl0_16 ),
    inference(superposition,[],[f102,f568]) ).

fof(f1608,plain,
    ( j(e22) = op1(j(e25),e11)
    | ~ spl0_11 ),
    inference(superposition,[],[f314,f1563]) ).

fof(f1607,plain,
    ( j(e21) = op1(e11,j(e25))
    | ~ spl0_11 ),
    inference(superposition,[],[f309,f1563]) ).

fof(f1604,plain,
    ( j(e25) = op1(e11,j(e22))
    | ~ spl0_11 ),
    inference(superposition,[],[f306,f1563]) ).

fof(f1603,plain,
    ( j(e22) = op1(e11,j(e21))
    | ~ spl0_11 ),
    inference(superposition,[],[f305,f1563]) ).

fof(f1600,plain,
    ( j(e21) = op1(j(e22),e11)
    | ~ spl0_11 ),
    inference(superposition,[],[f296,f1563]) ).

fof(f1599,plain,
    ( j(e25) = op1(j(e21),e11)
    | ~ spl0_11 ),
    inference(superposition,[],[f290,f1563]) ).

fof(f1030,plain,
    ( j(e21) = op1(e13,j(e25))
    | ~ spl0_16 ),
    inference(superposition,[],[f309,f907]) ).

fof(f1022,plain,
    ( j(e25) = op1(j(e21),e13)
    | ~ spl0_16 ),
    inference(superposition,[],[f290,f907]) ).

fof(f856,plain,
    ( h(e14) = op2(h(e11),e23)
    | ~ spl0_16 ),
    inference(superposition,[],[f252,f568]) ).

fof(f858,plain,
    ( h(e14) = op2(e23,h(e11))
    | ~ spl0_16 ),
    inference(superposition,[],[f257,f568]) ).

fof(f862,plain,
    ( h(e11) = op2(e23,h(e15))
    | ~ spl0_16 ),
    inference(superposition,[],[f261,f568]) ).

fof(f865,plain,
    ( h(e11) = op2(h(e15),e23)
    | ~ spl0_16 ),
    inference(superposition,[],[f276,f568]) ).

fof(f885,plain,
    ( j(e22) = op1(j(e21),e12)
    | ~ spl0_16 ),
    inference(superposition,[],[f289,f854]) ).

fof(f888,plain,
    ( j(e25) = op1(e12,j(e21))
    | ~ spl0_16 ),
    inference(superposition,[],[f299,f854]) ).

fof(f889,plain,
    ( j(e21) = op1(e12,j(e22))
    | ~ spl0_16 ),
    inference(superposition,[],[f300,f854]) ).

fof(f894,plain,
    ( j(e21) = op1(j(e25),e12)
    | ~ spl0_16 ),
    inference(superposition,[],[f313,f854]) ).

fof(f909,plain,
    ( h(e15) = op2(h(e11),e24)
    | ~ spl0_16 ),
    inference(superposition,[],[f253,f906]) ).

fof(f912,plain,
    ( h(e15) = op2(e24,h(e11))
    | ~ spl0_16 ),
    inference(superposition,[],[f263,f906]) ).

fof(f915,plain,
    ( h(e11) = op2(e24,h(e14))
    | ~ spl0_16 ),
    inference(superposition,[],[f266,f906]) ).

fof(f917,plain,
    ( h(e11) = op2(h(e14),e24)
    | ~ spl0_16 ),
    inference(superposition,[],[f271,f906]) ).

fof(f918,plain,
    ( h(e14) = op2(h(e15),e24)
    | ~ spl0_16 ),
    inference(superposition,[],[f277,f906]) ).

fof(f916,plain,
    ( h(e14) = op2(e24,h(e15))
    | ~ spl0_16 ),
    inference(superposition,[],[f267,f906]) ).

fof(f1920,plain,
    ( ~ spl0_1
    | spl0_10
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1919]) ).

fof(f1919,plain,
    ( $false
    | ~ spl0_1
    | spl0_10
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f1918,f506]) ).

fof(f506,plain,
    ( e23 != h(e11)
    | spl0_10 ),
    inference(avatar_component_clause,[],[f505]) ).

fof(f1918,plain,
    ( e23 = h(e11)
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1917,f568]) ).

fof(f1917,plain,
    ( h(e11) = h(e12)
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1899,f465]) ).

fof(f465,plain,
    ( h(e11) = op2(e20,h(e11))
    | ~ spl0_1 ),
    inference(superposition,[],[f245,f319]) ).

fof(f1899,plain,
    ( h(e12) = op2(e20,h(e11))
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(superposition,[],[f269,f1892]) ).

fof(f1908,plain,
    ( ~ spl0_1
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1907]) ).

fof(f1907,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f1906,f109]) ).

fof(f1906,plain,
    ( e10 = e14
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1893,f463]) ).

fof(f1893,plain,
    ( e14 = j(e20)
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(superposition,[],[f104,f1892]) ).

fof(f1797,plain,
    ( ~ spl0_12
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1796]) ).

fof(f1796,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_18 ),
    inference(subsumption_resolution,[],[f1795,f111]) ).

fof(f1795,plain,
    ( e11 = e12
    | ~ spl0_12
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1162,f1265]) ).

fof(f1265,plain,
    ( e11 = j(e25)
    | ~ spl0_12 ),
    inference(superposition,[],[f101,f515]) ).

fof(f515,plain,
    ( e25 = h(e11)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f513]) ).

fof(f513,plain,
    ( spl0_12
  <=> e25 = h(e11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f1791,plain,
    ( ~ spl0_12
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1790]) ).

fof(f1790,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f1789,f124]) ).

fof(f1789,plain,
    ( e20 = e24
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1788,f179]) ).

fof(f1788,plain,
    ( e24 = op2(e21,e21)
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1767,f906]) ).

fof(f1767,plain,
    ( op2(e21,e21) = h(e13)
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(superposition,[],[f272,f1658]) ).

fof(f1658,plain,
    ( e21 = h(e14)
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1657,f205]) ).

fof(f1657,plain,
    ( op2(e25,e23) = h(e14)
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1642,f515]) ).

fof(f1642,plain,
    ( h(e14) = op2(h(e11),e23)
    | ~ spl0_16 ),
    inference(superposition,[],[f252,f568]) ).

fof(f1780,plain,
    ( ~ spl0_12
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1779]) ).

fof(f1779,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f1778,f132]) ).

fof(f1778,plain,
    ( e22 = e25
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1777,f197]) ).

fof(f1777,plain,
    ( e25 = op2(e24,e21)
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1776,f515]) ).

fof(f1776,plain,
    ( op2(e24,e21) = h(e11)
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1762,f906]) ).

fof(f1762,plain,
    ( h(e11) = op2(h(e13),e21)
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(superposition,[],[f266,f1658]) ).

fof(f1618,plain,
    ( ~ spl0_11
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1617]) ).

fof(f1617,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f1609,f111]) ).

fof(f1609,plain,
    ( e11 = e12
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(superposition,[],[f1079,f1563]) ).

fof(f1079,plain,
    ( e12 = j(e24)
    | ~ spl0_17 ),
    inference(superposition,[],[f102,f572]) ).

fof(f572,plain,
    ( e24 = h(e12)
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f570]) ).

fof(f570,plain,
    ( spl0_17
  <=> e24 = h(e12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f1611,plain,
    ( ~ spl0_11
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1610]) ).

fof(f1610,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f1596,f111]) ).

fof(f1596,plain,
    ( e11 = e12
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(superposition,[],[f1563,f1079]) ).

fof(f1560,plain,
    ( ~ spl0_8
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1559]) ).

fof(f1559,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f1558,f123]) ).

fof(f1558,plain,
    ( e20 = e23
    | ~ spl0_8
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1557,f207]) ).

fof(f1557,plain,
    ( e23 = op2(e25,e25)
    | ~ spl0_8
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1536,f1102]) ).

fof(f1102,plain,
    ( e23 = h(e13)
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1084,f200]) ).

fof(f1084,plain,
    ( op2(e24,e24) = h(e13)
    | ~ spl0_17 ),
    inference(superposition,[],[f258,f572]) ).

fof(f1536,plain,
    ( op2(e25,e25) = h(e13)
    | ~ spl0_8
    | ~ spl0_17 ),
    inference(superposition,[],[f272,f1493]) ).

fof(f1493,plain,
    ( e25 = h(e14)
    | ~ spl0_8
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1492,f182]) ).

fof(f1492,plain,
    ( op2(e21,e24) = h(e14)
    | ~ spl0_8
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1477,f572]) ).

fof(f1477,plain,
    ( h(e14) = op2(e21,h(e12))
    | ~ spl0_8 ),
    inference(superposition,[],[f252,f499]) ).

fof(f499,plain,
    ( e21 = h(e11)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f497]) ).

fof(f497,plain,
    ( spl0_8
  <=> e21 = h(e11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f1552,plain,
    ( ~ spl0_8
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1551]) ).

fof(f1551,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f1550,f133]) ).

fof(f1550,plain,
    ( e23 = e24
    | ~ spl0_8
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1549,f203]) ).

fof(f1549,plain,
    ( e24 = op2(e25,e21)
    | ~ spl0_8
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1548,f572]) ).

fof(f1548,plain,
    ( op2(e25,e21) = h(e12)
    | ~ spl0_8
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1533,f499]) ).

fof(f1533,plain,
    ( h(e12) = op2(e25,h(e11))
    | ~ spl0_8
    | ~ spl0_17 ),
    inference(superposition,[],[f269,f1493]) ).

fof(f1468,plain,
    ( ~ spl0_10
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1467]) ).

fof(f1467,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f1466,f107]) ).

fof(f1466,plain,
    ( e10 = e12
    | ~ spl0_10
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1465,f215]) ).

fof(f1465,plain,
    ( e12 = op1(e11,e11)
    | ~ spl0_10
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1458,f1079]) ).

fof(f1458,plain,
    ( op1(e11,e11) = j(e24)
    | ~ spl0_10 ),
    inference(superposition,[],[f301,f1418]) ).

fof(f1415,plain,
    ( ~ spl0_12
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1414]) ).

fof(f1414,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f1413,f123]) ).

fof(f1413,plain,
    ( e20 = e23
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1412,f186]) ).

fof(f1412,plain,
    ( e23 = op2(e22,e22)
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1388,f1102]) ).

fof(f1388,plain,
    ( op2(e22,e22) = h(e13)
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(superposition,[],[f272,f1305]) ).

fof(f1305,plain,
    ( e22 = h(e14)
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1304,f206]) ).

fof(f1304,plain,
    ( op2(e25,e24) = h(e14)
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1288,f515]) ).

fof(f1288,plain,
    ( h(e14) = op2(h(e11),e24)
    | ~ spl0_17 ),
    inference(superposition,[],[f252,f572]) ).

fof(f1407,plain,
    ( ~ spl0_12
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1406]) ).

fof(f1406,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f1405,f133]) ).

fof(f1405,plain,
    ( e23 = e24
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1404,f189]) ).

fof(f1404,plain,
    ( e24 = op2(e22,e25)
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1403,f572]) ).

fof(f1403,plain,
    ( op2(e22,e25) = h(e12)
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1385,f515]) ).

fof(f1385,plain,
    ( h(e12) = op2(e22,h(e11))
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(superposition,[],[f269,f1305]) ).

fof(f1401,plain,
    ( ~ spl0_12
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1400]) ).

fof(f1400,plain,
    ( $false
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f1399,f129]) ).

fof(f1399,plain,
    ( e21 = e25
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1398,f192]) ).

fof(f1398,plain,
    ( e25 = op2(e23,e22)
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1397,f515]) ).

fof(f1397,plain,
    ( op2(e23,e22) = h(e11)
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1383,f1102]) ).

fof(f1383,plain,
    ( h(e11) = op2(h(e13),e22)
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(superposition,[],[f266,f1305]) ).

fof(f1259,plain,
    ( ~ spl0_1
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1258]) ).

fof(f1258,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f1257,f106]) ).

fof(f1257,plain,
    ( e10 = e11
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f1243,f463]) ).

fof(f1243,plain,
    ( e11 = j(e20)
    | ~ spl0_7 ),
    inference(superposition,[],[f101,f495]) ).

fof(f495,plain,
    ( e20 = h(e11)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f493]) ).

fof(f493,plain,
    ( spl0_7
  <=> e20 = h(e11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f1236,plain,
    ( ~ spl0_9
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1235]) ).

fof(f1235,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_18 ),
    inference(subsumption_resolution,[],[f1234,f129]) ).

fof(f1234,plain,
    ( e21 = e25
    | ~ spl0_9
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1233,f192]) ).

fof(f1233,plain,
    ( e25 = op2(e23,e22)
    | ~ spl0_9
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1232,f576]) ).

fof(f1232,plain,
    ( op2(e23,e22) = h(e12)
    | ~ spl0_9
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1218,f503]) ).

fof(f503,plain,
    ( e22 = h(e11)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f501]) ).

fof(f501,plain,
    ( spl0_9
  <=> e22 = h(e11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f1218,plain,
    ( h(e12) = op2(e23,h(e11))
    | ~ spl0_9
    | ~ spl0_18 ),
    inference(superposition,[],[f269,f1182]) ).

fof(f1182,plain,
    ( e23 = h(e14)
    | ~ spl0_9
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1181,f189]) ).

fof(f1181,plain,
    ( op2(e22,e25) = h(e14)
    | ~ spl0_9
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1164,f503]) ).

fof(f1164,plain,
    ( h(e14) = op2(h(e11),e25)
    | ~ spl0_18 ),
    inference(superposition,[],[f252,f576]) ).

fof(f1155,plain,
    ( ~ spl0_9
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1154]) ).

fof(f1154,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f1153,f133]) ).

fof(f1153,plain,
    ( e23 = e24
    | ~ spl0_9
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1152,f180]) ).

fof(f1152,plain,
    ( e24 = op2(e21,e22)
    | ~ spl0_9
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1151,f572]) ).

fof(f1151,plain,
    ( op2(e21,e22) = h(e12)
    | ~ spl0_9
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1137,f503]) ).

fof(f1137,plain,
    ( h(e12) = op2(e21,h(e11))
    | ~ spl0_9
    | ~ spl0_17 ),
    inference(superposition,[],[f269,f1098]) ).

fof(f1098,plain,
    ( e21 = h(e14)
    | ~ spl0_9
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1097,f188]) ).

fof(f1097,plain,
    ( op2(e22,e24) = h(e14)
    | ~ spl0_9
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f1081,f503]) ).

fof(f1081,plain,
    ( h(e14) = op2(h(e11),e24)
    | ~ spl0_17 ),
    inference(superposition,[],[f252,f572]) ).

fof(f1076,plain,
    ( ~ spl0_9
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1075]) ).

fof(f1075,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f1074,f124]) ).

fof(f1074,plain,
    ( e20 = e24
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1073,f179]) ).

fof(f1073,plain,
    ( e24 = op2(e21,e21)
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1055,f906]) ).

fof(f1055,plain,
    ( op2(e21,e21) = h(e13)
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(superposition,[],[f272,f1045]) ).

fof(f1045,plain,
    ( e21 = h(e14)
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(global_subsumption,[],[f93,f92,f91,f90,f89,f88,f87,f86,f85,f84,f83,f82,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f106,f107,f108,f109,f110,f111,f112,f113,f114,f115,f116,f117,f118,f119,f120,f121,f122,f123,f124,f125,f126,f127,f128,f129,f130,f131,f132,f133,f134,f135,f136,f137,f138,f139,f140,f141,f142,f143,f144,f145,f146,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f158,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f94,f95,f96,f97,f98,f99,f100,f101,f102,f103,f104,f105,f172,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f186,f187,f188,f189,f190,f191,f192,f193,f194,f195,f196,f197,f198,f199,f200,f201,f202,f203,f204,f205,f206,f207,f208,f209,f210,f211,f212,f213,f214,f215,f216,f217,f218,f219,f220,f221,f222,f223,f224,f225,f226,f227,f228,f229,f230,f231,f232,f233,f234,f235,f236,f237,f238,f239,f240,f241,f242,f243,f244,f245,f246,f247,f248,f249,f250,f251,f252,f253,f254,f255,f256,f257,f258,f259,f260,f261,f262,f263,f264,f265,f266,f267,f268,f269,f270,f271,f272,f273,f274,f275,f276,f277,f278,f279,f280,f281,f282,f283,f284,f285,f286,f287,f288,f289,f290,f291,f292,f293,f294,f295,f296,f297,f298,f299,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f315,f10,f11,f12,f639,f641,f643,f645,f644,f642,f640,f638,f743,f745,f747,f748,f749,f750,f751,f752,f568,f876,f861,f864,f854,f886,f902,f892,f13,f906,f916,f918,f917,f915,f912,f909,f894,f889,f888,f885,f865,f862,f858,f856,f503,f966,f985,f987,f988,f989,f991,f993,f994,f995,f634,f1012,f1003,f1016,f1006,f1017,f1019,f1009,f1010,f907,f1022,f1034,f1038,f1040,f1030,f1044,f14]) ).

fof(f1044,plain,
    ( e11 = op1(j(e25),e13)
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1031,f634]) ).

fof(f1031,plain,
    ( j(e22) = op1(j(e25),e13)
    | ~ spl0_16 ),
    inference(superposition,[],[f314,f907]) ).

fof(f1040,plain,
    ( e15 = j(e25)
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1039,f227]) ).

fof(f1039,plain,
    ( op1(e13,e11) = j(e25)
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1027,f634]) ).

fof(f1027,plain,
    ( j(e25) = op1(e13,j(e22))
    | ~ spl0_16 ),
    inference(superposition,[],[f306,f907]) ).

fof(f1038,plain,
    ( e11 = op1(e13,j(e21))
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1026,f634]) ).

fof(f1026,plain,
    ( j(e22) = op1(e13,j(e21))
    | ~ spl0_16 ),
    inference(superposition,[],[f305,f907]) ).

fof(f1034,plain,
    ( e15 = j(e21)
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1033,f217]) ).

fof(f1033,plain,
    ( op1(e11,e13) = j(e21)
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1023,f634]) ).

fof(f1023,plain,
    ( j(e21) = op1(j(e22),e13)
    | ~ spl0_16 ),
    inference(superposition,[],[f296,f907]) ).

fof(f1010,plain,
    ( j(e24) = op1(j(e25),e11)
    | ~ spl0_9 ),
    inference(superposition,[],[f312,f634]) ).

fof(f1009,plain,
    ( j(e25) = op1(j(e24),e11)
    | ~ spl0_9 ),
    inference(superposition,[],[f306,f634]) ).

fof(f1019,plain,
    ( e14 = j(e21)
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1018,f221]) ).

fof(f1018,plain,
    ( op1(e12,e11) = j(e21)
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1008,f854]) ).

fof(f1008,plain,
    ( j(e21) = op1(j(e23),e11)
    | ~ spl0_9 ),
    inference(superposition,[],[f300,f634]) ).

fof(f1017,plain,
    ( e12 = op1(e11,j(e25))
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1007,f854]) ).

fof(f1007,plain,
    ( j(e23) = op1(e11,j(e25))
    | ~ spl0_9 ),
    inference(superposition,[],[f297,f634]) ).

fof(f1006,plain,
    ( j(e21) = op1(e11,j(e24))
    | ~ spl0_9 ),
    inference(superposition,[],[f296,f634]) ).

fof(f1016,plain,
    ( e14 = j(e25)
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1015,f216]) ).

fof(f1015,plain,
    ( op1(e11,e12) = j(e25)
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1005,f854]) ).

fof(f1005,plain,
    ( j(e25) = op1(e11,j(e23))
    | ~ spl0_9 ),
    inference(superposition,[],[f295,f634]) ).

fof(f1003,plain,
    ( j(e24) = op1(e11,j(e21))
    | ~ spl0_9 ),
    inference(superposition,[],[f293,f634]) ).

fof(f1012,plain,
    ( e12 = op1(j(e21),e11)
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f1001,f854]) ).

fof(f1001,plain,
    ( j(e23) = op1(j(e21),e11)
    | ~ spl0_9 ),
    inference(superposition,[],[f288,f634]) ).

fof(f634,plain,
    ( e11 = j(e22)
    | ~ spl0_9 ),
    inference(superposition,[],[f101,f503]) ).

fof(f995,plain,
    ( e24 = op2(h(e15),e22)
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f977,f906]) ).

fof(f977,plain,
    ( h(e13) = op2(h(e15),e22)
    | ~ spl0_9 ),
    inference(superposition,[],[f275,f503]) ).

fof(f994,plain,
    ( e23 = op2(h(e14),e22)
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f976,f568]) ).

fof(f976,plain,
    ( h(e12) = op2(h(e14),e22)
    | ~ spl0_9 ),
    inference(superposition,[],[f269,f503]) ).

fof(f993,plain,
    ( e25 = h(e15)
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f992,f198]) ).

fof(f992,plain,
    ( op2(e24,e22) = h(e15)
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f975,f906]) ).

fof(f975,plain,
    ( h(e15) = op2(h(e13),e22)
    | ~ spl0_9 ),
    inference(superposition,[],[f263,f503]) ).

fof(f991,plain,
    ( e21 = h(e14)
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f990,f192]) ).

fof(f990,plain,
    ( op2(e23,e22) = h(e14)
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f974,f568]) ).

fof(f974,plain,
    ( h(e14) = op2(h(e12),e22)
    | ~ spl0_9 ),
    inference(superposition,[],[f257,f503]) ).

fof(f989,plain,
    ( e24 = op2(e22,h(e15))
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f973,f906]) ).

fof(f973,plain,
    ( h(e13) = op2(e22,h(e15))
    | ~ spl0_9 ),
    inference(superposition,[],[f255,f503]) ).

fof(f988,plain,
    ( e23 = op2(e22,h(e14))
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f972,f568]) ).

fof(f972,plain,
    ( h(e12) = op2(e22,h(e14))
    | ~ spl0_9 ),
    inference(superposition,[],[f254,f503]) ).

fof(f987,plain,
    ( e21 = h(e15)
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f986,f188]) ).

fof(f986,plain,
    ( op2(e22,e24) = h(e15)
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f971,f906]) ).

fof(f971,plain,
    ( h(e15) = op2(e22,h(e13))
    | ~ spl0_9 ),
    inference(superposition,[],[f253,f503]) ).

fof(f985,plain,
    ( e25 = h(e14)
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f984,f187]) ).

fof(f984,plain,
    ( op2(e22,e23) = h(e14)
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f970,f568]) ).

fof(f970,plain,
    ( h(e14) = op2(e22,h(e12))
    | ~ spl0_9 ),
    inference(superposition,[],[f252,f503]) ).

fof(f966,plain,
    ( e11 = j(e22)
    | ~ spl0_9 ),
    inference(superposition,[],[f101,f503]) ).

fof(f752,plain,
    ( j(e24) = op1(j(e25),e11)
    | ~ spl0_9 ),
    inference(superposition,[],[f312,f634]) ).

fof(f751,plain,
    ( j(e25) = op1(j(e24),e11)
    | ~ spl0_9 ),
    inference(superposition,[],[f306,f634]) ).

fof(f750,plain,
    ( j(e21) = op1(j(e23),e11)
    | ~ spl0_9 ),
    inference(superposition,[],[f300,f634]) ).

fof(f749,plain,
    ( j(e23) = op1(e11,j(e25))
    | ~ spl0_9 ),
    inference(superposition,[],[f297,f634]) ).

fof(f748,plain,
    ( j(e21) = op1(e11,j(e24))
    | ~ spl0_9 ),
    inference(superposition,[],[f296,f634]) ).

fof(f747,plain,
    ( j(e25) = op1(e11,j(e23))
    | ~ spl0_9 ),
    inference(superposition,[],[f295,f634]) ).

fof(f745,plain,
    ( j(e24) = op1(e11,j(e21))
    | ~ spl0_9 ),
    inference(superposition,[],[f293,f634]) ).

fof(f743,plain,
    ( j(e23) = op1(j(e21),e11)
    | ~ spl0_9 ),
    inference(superposition,[],[f288,f634]) ).

fof(f638,plain,
    ( h(e14) = op2(e22,h(e12))
    | ~ spl0_9 ),
    inference(superposition,[],[f252,f503]) ).

fof(f640,plain,
    ( h(e12) = op2(e22,h(e14))
    | ~ spl0_9 ),
    inference(superposition,[],[f254,f503]) ).

fof(f642,plain,
    ( h(e14) = op2(h(e12),e22)
    | ~ spl0_9 ),
    inference(superposition,[],[f257,f503]) ).

fof(f644,plain,
    ( h(e12) = op2(h(e14),e22)
    | ~ spl0_9 ),
    inference(superposition,[],[f269,f503]) ).

fof(f645,plain,
    ( h(e13) = op2(h(e15),e22)
    | ~ spl0_9 ),
    inference(superposition,[],[f275,f503]) ).

fof(f643,plain,
    ( h(e15) = op2(h(e13),e22)
    | ~ spl0_9 ),
    inference(superposition,[],[f263,f503]) ).

fof(f641,plain,
    ( h(e13) = op2(e22,h(e15))
    | ~ spl0_9 ),
    inference(superposition,[],[f255,f503]) ).

fof(f639,plain,
    ( h(e15) = op2(e22,h(e13))
    | ~ spl0_9 ),
    inference(superposition,[],[f253,f503]) ).

fof(f963,plain,
    ( ~ spl0_8
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f962]) ).

fof(f962,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f961,f124]) ).

fof(f961,plain,
    ( e20 = e24
    | ~ spl0_8
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f960,f186]) ).

fof(f960,plain,
    ( e24 = op2(e22,e22)
    | ~ spl0_8
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f942,f906]) ).

fof(f942,plain,
    ( op2(e22,e22) = h(e13)
    | ~ spl0_8
    | ~ spl0_16 ),
    inference(superposition,[],[f272,f872]) ).

fof(f872,plain,
    ( e22 = h(e14)
    | ~ spl0_8
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f871,f181]) ).

fof(f871,plain,
    ( op2(e21,e23) = h(e14)
    | ~ spl0_8
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f856,f499]) ).

fof(f851,plain,
    ~ spl0_15,
    inference(avatar_contradiction_clause,[],[f850]) ).

fof(f850,plain,
    ( $false
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f849,f122]) ).

fof(f849,plain,
    ( e20 = e22
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f848,f172]) ).

fof(f848,plain,
    ( e22 = op2(e20,e20)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f829,f564]) ).

fof(f564,plain,
    ( e22 = h(e12)
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f562]) ).

fof(f562,plain,
    ( spl0_15
  <=> e22 = h(e12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f829,plain,
    ( op2(e20,e20) = h(e12)
    | ~ spl0_15 ),
    inference(superposition,[],[f265,f733]) ).

fof(f733,plain,
    ( e20 = h(e13)
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f717,f186]) ).

fof(f717,plain,
    ( op2(e22,e22) = h(e13)
    | ~ spl0_15 ),
    inference(superposition,[],[f258,f564]) ).

fof(f837,plain,
    ( ~ spl0_1
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f836]) ).

fof(f836,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f835,f108]) ).

fof(f835,plain,
    ( e10 = e13
    | ~ spl0_1
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f822,f463]) ).

fof(f822,plain,
    ( e13 = j(e20)
    | ~ spl0_15 ),
    inference(superposition,[],[f103,f733]) ).

fof(f758,plain,
    ( ~ spl0_9
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f757]) ).

fof(f757,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f756,f111]) ).

fof(f756,plain,
    ( e11 = e12
    | ~ spl0_9
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f712,f634]) ).

fof(f712,plain,
    ( e12 = j(e22)
    | ~ spl0_15 ),
    inference(superposition,[],[f102,f564]) ).

fof(f709,plain,
    ~ spl0_14,
    inference(avatar_contradiction_clause,[],[f708]) ).

fof(f708,plain,
    ( $false
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f707,f121]) ).

fof(f707,plain,
    ( e20 = e21
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f706,f172]) ).

fof(f706,plain,
    ( e21 = op2(e20,e20)
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f687,f560]) ).

fof(f560,plain,
    ( e21 = h(e12)
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f558]) ).

fof(f558,plain,
    ( spl0_14
  <=> e21 = h(e12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f687,plain,
    ( op2(e20,e20) = h(e12)
    | ~ spl0_14 ),
    inference(superposition,[],[f265,f629]) ).

fof(f629,plain,
    ( e20 = h(e13)
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f611,f179]) ).

fof(f611,plain,
    ( op2(e21,e21) = h(e13)
    | ~ spl0_14 ),
    inference(superposition,[],[f258,f560]) ).

fof(f695,plain,
    ( ~ spl0_1
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f694]) ).

fof(f694,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f693,f108]) ).

fof(f693,plain,
    ( e10 = e13
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f680,f463]) ).

fof(f680,plain,
    ( e13 = j(e20)
    | ~ spl0_14 ),
    inference(superposition,[],[f103,f629]) ).

fof(f622,plain,
    ( ~ spl0_8
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f621]) ).

fof(f621,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f620,f111]) ).

fof(f620,plain,
    ( e11 = e12
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f606,f517]) ).

fof(f517,plain,
    ( e11 = j(e21)
    | ~ spl0_8 ),
    inference(superposition,[],[f101,f499]) ).

fof(f606,plain,
    ( e12 = j(e21)
    | ~ spl0_14 ),
    inference(superposition,[],[f102,f560]) ).

fof(f593,plain,
    ( ~ spl0_1
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f592]) ).

fof(f592,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f591,f107]) ).

fof(f591,plain,
    ( e10 = e12
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f578,f463]) ).

fof(f578,plain,
    ( e12 = j(e20)
    | ~ spl0_13 ),
    inference(superposition,[],[f102,f556]) ).

fof(f556,plain,
    ( e20 = h(e12)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f554]) ).

fof(f554,plain,
    ( spl0_13
  <=> e20 = h(e12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f577,plain,
    ( spl0_13
    | spl0_14
    | spl0_15
    | spl0_16
    | spl0_17
    | spl0_18 ),
    inference(avatar_split_clause,[],[f12,f574,f570,f566,f562,f558,f554]) ).

fof(f516,plain,
    ( spl0_7
    | spl0_8
    | spl0_9
    | spl0_10
    | spl0_11
    | spl0_12 ),
    inference(avatar_split_clause,[],[f11,f513,f509,f505,f501,f497,f493]) ).

fof(f462,plain,
    ~ spl0_6,
    inference(avatar_contradiction_clause,[],[f461]) ).

fof(f461,plain,
    ( $false
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f460,f125]) ).

fof(f460,plain,
    ( e20 = e25
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f444,f207]) ).

fof(f444,plain,
    ( e25 = op2(e25,e25)
    | ~ spl0_6 ),
    inference(superposition,[],[f244,f339]) ).

fof(f339,plain,
    ( e25 = h(e10)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f337]) ).

fof(f337,plain,
    ( spl0_6
  <=> e25 = h(e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f442,plain,
    ~ spl0_5,
    inference(avatar_contradiction_clause,[],[f441]) ).

fof(f441,plain,
    ( $false
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f440,f133]) ).

fof(f440,plain,
    ( e23 = e24
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f425,f200]) ).

fof(f425,plain,
    ( e24 = op2(e24,e24)
    | ~ spl0_5 ),
    inference(superposition,[],[f244,f335]) ).

fof(f335,plain,
    ( e24 = h(e10)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f333]) ).

fof(f333,plain,
    ( spl0_5
  <=> e24 = h(e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f418,plain,
    ~ spl0_4,
    inference(avatar_contradiction_clause,[],[f417]) ).

fof(f417,plain,
    ( $false
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f416,f133]) ).

fof(f416,plain,
    ( e23 = e24
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f404,f331]) ).

fof(f331,plain,
    ( e23 = h(e10)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f329]) ).

fof(f329,plain,
    ( spl0_4
  <=> e23 = h(e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f404,plain,
    ( e24 = h(e10)
    | ~ spl0_4 ),
    inference(superposition,[],[f98,f403]) ).

fof(f403,plain,
    ( e10 = j(e24)
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f398,f208]) ).

fof(f398,plain,
    ( op1(e10,e10) = j(e24)
    | ~ spl0_4 ),
    inference(superposition,[],[f301,f374]) ).

fof(f374,plain,
    ( e10 = j(e23)
    | ~ spl0_4 ),
    inference(superposition,[],[f100,f331]) ).

fof(f373,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f372]) ).

fof(f372,plain,
    ( $false
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f371,f122]) ).

fof(f371,plain,
    ( e20 = e22
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f358,f186]) ).

fof(f358,plain,
    ( e22 = op2(e22,e22)
    | ~ spl0_3 ),
    inference(superposition,[],[f244,f327]) ).

fof(f327,plain,
    ( e22 = h(e10)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f325]) ).

fof(f325,plain,
    ( spl0_3
  <=> e22 = h(e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f356,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f355]) ).

fof(f355,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f354,f121]) ).

fof(f354,plain,
    ( e20 = e21
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f342,f179]) ).

fof(f342,plain,
    ( e21 = op2(e21,e21)
    | ~ spl0_2 ),
    inference(superposition,[],[f244,f323]) ).

fof(f323,plain,
    ( e21 = h(e10)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f321]) ).

fof(f321,plain,
    ( spl0_2
  <=> e21 = h(e10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f340,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_4
    | spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f10,f337,f333,f329,f325,f321,f317]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : ALG031+1 : TPTP v8.1.2. Released v2.7.0.
% 0.06/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35  % Computer : n014.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   : Fri May  3 19:59:23 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  % (10184)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37  % (10187)WARNING: value z3 for option sas not known
% 0.13/0.37  % (10191)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.37  % (10190)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.37  % (10188)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37  % (10186)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37  % (10187)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37  % (10189)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.37  % (10185)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.18/0.39  Detected minimum model sizes of [12]
% 0.18/0.39  Detected maximum model sizes of [max]
% 0.18/0.39  Detected minimum model sizes of [12]
% 0.18/0.39  Detected maximum model sizes of [max]
% 0.18/0.39  TRYING [12]
% 0.18/0.40  TRYING [12]
% 0.18/0.41  % (10187)First to succeed.
% 0.18/0.42  % (10187)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-10184"
% 0.18/0.42  % (10187)Refutation found. Thanks to Tanya!
% 0.18/0.42  % SZS status Theorem for theBenchmark
% 0.18/0.42  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.43  % (10187)------------------------------
% 0.18/0.43  % (10187)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.18/0.43  % (10187)Termination reason: Refutation
% 0.18/0.43  
% 0.18/0.43  % (10187)Memory used [KB]: 1451
% 0.18/0.43  % (10187)Time elapsed: 0.051 s
% 0.18/0.43  % (10187)Instructions burned: 110 (million)
% 0.18/0.43  % (10184)Success in time 0.073 s
%------------------------------------------------------------------------------